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push_symbol(APPROXRATIO),push(theArgument),list(2)},floatToRatioRoutine=function(n,t){var r,a,s,l,u,_,m;if(s=void 0,a=void 0,r=void 0,_=void 0,l=void 0,u=void 0,m=[0,0],isNaN(n))return m;if(n===1/0)return m[0]=1,m[1]=0,m;if(n===-1/0)return m[0]=-1,m[1]=0,m;if(n<0?r=-1:r=1,n=Math.abs(n),Math.abs(n-Math.floor(n))<t)return s=n*r,a=1,m[0]=s,m[1]=a,m;if(n<1e-19)return s=r,a=1e19,m[0]=s,m[1]=a,m;if(n>1e19)return s=1e19*r,a=1,m[0]=s,m[1]=a,m;for(_=n,l=0,a=1;_=1/(_-Math.floor(_)),u=a,a=a*Math.floor(_)+l,l=u,s=Math.floor(n*a+.5),Math.abs(n-s/a)>t&&_!==Math.floor(_););return s=r*s,m[0]=s,m[1]=a,m},approx_just_an_integer=0,approx_sine_of_rational=1,approx_sine_of_pi_times_rational=2,approx_rationalOfPi=3,approx_radicalOfRatio=4,approx_ratioOfRadical=6,approx_rationalOfE=7,approx_logarithmsOfRationals=8,approx_rationalsOfLogarithms=9,approxRationalsOfRadicals=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie;if(Ie=n.toString().split("."),Ie.length===2)x=Ie[1].length,Z=1/Math.pow(10,x);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+Z),t=null,f=Number.MAX_VALUE,ne=[2,3,5,6,7,8,10],w=0,m=ne.length;w<m;w++)for(l=ne[w],_=u=1;u<=10;_=++u)s=Math.sqrt(l)/_,Math.abs(s)>1e-10?(Ce=n/s,g=Math.round(Ce),a=Math.abs(1-Ce/g)):(Ce=1,g=1,a=Math.abs(n-s)),a<2*Z&&(r=simpleComplexityMeasure(g,l,_),r<f&&(f=r,$e=g+" * sqrt( "+l+" ) / "+_,t=[$e,approx_ratioOfRadical,g,l,_]));return t},approxRadicalsOfRationals=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr;if(Lr=n.toString().split("."),Lr.length===2)w=Lr[1].length,Ce=1/Math.pow(10,w);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+Ce),t=null,x=Number.MAX_VALUE,$e=[1,2,3,5,6,7,8,10],Z=0,m=$e.length;Z<m;Z++)for(l=$e[Z],Ie=[1,2,3,5,6,7,8,10],u=0,g=Ie.length;u<g;u++)_=Ie[u],s=Math.sqrt(l/_),Math.abs(s)>1e-10?(ne=n/s,f=Math.round(ne),a=Math.abs(1-ne/f)):(ne=1,f=1,a=Math.abs(n-s)),a<2*Ce&&(r=simpleComplexityMeasure(f,l,_),r<x&&(x=r,Dt=f+" * (sqrt( "+l+" / "+_+" )",t=[Dt,approx_radicalOfRatio,f,l,_]));return t},approxRadicals=function(n){var t,r,a,s,l;if(l=n.toString().split("."),l.length===2)a=l[1].length,s=1/Math.pow(10,a);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];return console.log("precision: "+s),r=approxRationalsOfRadicals(n),r??(t=approxRadicalsOfRationals(n),t??null)},approxLogs=function(n){var t,r,a,s,l;if(l=n.toString().split("."),l.length===2)a=l[1].length,s=1/Math.pow(10,a);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];return console.log("precision: "+s),r=approxRationalsOfLogs(n),r??(t=approxLogsOfRationals(n),t??null)},approxRationalsOfLogs=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne;if(ne=n.toString().split("."),ne.length===2)f=ne[1].length,w=1/Math.pow(10,f);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+w),t=null,g=Number.MAX_VALUE,l=x=2;x<=5;l=++x)for(_=u=1;u<=5;_=++u)s=Math.log(l)/_,Math.abs(s)>1e-10?(Z=n/s,m=Math.round(Z),a=Math.abs(1-Z/m)):(Z=1,m=1,a=Math.abs(n-s)),!(m!==1&&Math.abs(Math.floor(m/_))===Math.abs(m/_))&&a<2.2*w&&(r=simpleComplexityMeasure(m,l,_),r<g&&(g=r,Ce=m+" * log( "+l+" ) / "+_,t=[Ce,approx_rationalsOfLogarithms,m,l,_]));return t},approxLogsOfRationals=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne;if(ne=n.toString().split("."),ne.length===2)f=ne[1].length,w=1/Math.pow(10,f);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+w),t=null,g=Number.MAX_VALUE,l=x=1;x<=5;l=++x)for(_=u=1;u<=5;_=++u)s=Math.log(l/_),Math.abs(s)>1e-10?(Z=n/s,m=Math.round(Z),a=Math.abs(1-Z/m)):(Z=1,m=1,a=Math.abs(n-s)),a<1.96*w&&(r=simpleComplexityMeasure(m,l,_),r<g&&(g=r,Ce=m+" * log( "+l+" / "+_+" )",t=[Ce,approx_logarithmsOfRationals,m,l,_]));return t},approxRationalsOfPowersOfE=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne;if(ne=n.toString().split("."),ne.length===2)f=ne[1].length,w=1/Math.pow(10,f);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+w),t=null,g=Number.MAX_VALUE,l=x=1;x<=2;l=++x)for(_=u=1;u<=12;_=++u)s=Math.pow(Math.E,l)/_,Math.abs(s)>1e-10?(Z=n/s,m=Math.round(Z),a=Math.abs(1-Z/m)):(Z=1,m=1,a=Math.abs(n-s)),a<2*w&&(r=simpleComplexityMeasure(m,l,_),r<g&&(g=r,Ce=m+" * (e ^ "+l+" ) / "+_,t=[Ce,approx_rationalOfE,m,l,_]));return t},approxRationalsOfPowersOfPI=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne;if(ne=n.toString().split("."),ne.length===2)f=ne[1].length,w=1/Math.pow(10,f);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+w),t=null,g=Number.MAX_VALUE,l=x=1;x<=5;l=++x)for(_=u=1;u<=12;_=++u)s=Math.pow(Math.PI,l)/_,Math.abs(s)>1e-10?(Z=n/s,m=Math.round(Z),a=Math.abs(1-Z/m)):(Z=1,m=1,a=Math.abs(n-s)),a<2*w&&(r=simpleComplexityMeasure(m,l,_),r<g&&(g=r,Ce=m+" * (pi ^ "+l+" ) / "+_+" )",t=[Ce,approx_rationalOfPi,m,l,_]));return t},approxTrigonometric=function(n){var t,r,a,s,l;if(l=n.toString().split("."),l.length===2)a=l[1].length,s=1/Math.pow(10,a);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];return console.log("precision: "+s),r=approxSineOfRationals(n),r??(t=approxSineOfRationalMultiplesOfPI(n),t??null)},approxSineOfRationals=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e;if($e=n.toString().split("."),$e.length===2)x=$e[1].length,Z=1/Math.pow(10,x);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+Z),t=null,f=Number.MAX_VALUE,u=w=1;w<=4;u=++w)for(m=_=1;_<=4;m=++_)s=u/m,l=Math.sin(s),Math.abs(l)>1e-10?(Ce=n/l,g=Math.round(Ce),a=Math.abs(1-Ce/g)):(Ce=1,g=1,a=Math.abs(n-l)),a<2*Z&&(r=simpleComplexityMeasure(g,u,m),r<f&&(f=r,ne=g+" * sin( "+u+"/"+m+" )",t=[ne,approx_sine_of_rational,g,u,m]));return t},approxSineOfRationalMultiplesOfPI=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e;if($e=n.toString().split("."),$e.length===2)x=$e[1].length,Z=1/Math.pow(10,x);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];for(console.log("precision: "+Z),t=null,f=Number.MAX_VALUE,u=w=1;w<=13;u=++w)for(m=_=1;_<=13;m=++_)s=u/m,l=Math.sin(Math.PI*s),Math.abs(l)>1e-10?(Ce=n/l,g=Math.round(Ce),a=Math.abs(1-Ce/g)):(Ce=1,g=1,a=Math.abs(n-l)),a<23*Z&&(r=simpleComplexityMeasure(g,u,m),r<f&&(f=r,ne=g+" * sin( "+u+"/"+m+" * pi )",t=[ne,approx_sine_of_pi_times_rational,g,u,m]));return t},approxAll=function(n){var t,r,a,s,l,u,_,m,g,f,x,w;if(w=n.toString().split("."),w.length===2)f=w[1].length,x=1/Math.pow(10,f);else return[""+Math.floor(n),approx_just_an_integer,Math.floor(n),1,2];return console.log("precision: "+x),g=Number.MAX_VALUE,m=0,_=null,t=!0,a=approxRadicals(n),a!=null&&(m=simpleComplexityMeasure(a),m<g?(t&&console.log("better explanation by approxRadicals: "+a+" complexity: "+m),g=m,_=a):t&&console.log("subpar explanation by approxRadicals: "+a+" complexity: "+m)),r=approxLogs(n),r!=null&&(m=simpleComplexityMeasure(r),m<g?(t&&console.log("better explanation by approxLogs: "+r+" complexity: "+m),g=m,_=r):t&&console.log("subpar explanation by approxLogs: "+r+" complexity: "+m)),s=approxRationalsOfPowersOfE(n),s!=null&&(m=simpleComplexityMeasure(s),m<g?(t&&console.log("better explanation by approxRationalsOfPowersOfE: "+s+" complexity: "+m),g=m,_=s):t&&console.log("subpar explanation by approxRationalsOfPowersOfE: "+s+" complexity: "+m)),l=approxRationalsOfPowersOfPI(n),l!=null&&(m=simpleComplexityMeasure(l),m<g?(t&&console.log("better explanation by approxRationalsOfPowersOfPI: "+l+" complexity: "+m),g=m,_=l):t&&console.log("subpar explanation by approxRationalsOfPowersOfPI: "+l+" complexity: "+m)),u=approxTrigonometric(n),u!=null&&(m=simpleComplexityMeasure(u),m<g?(t&&console.log("better explanation by approxTrigonometric: "+u+" complexity: "+m),g=m,_=u):t&&console.log("subpar explanation by approxTrigonometric: "+u+" complexity: "+m)),_},simpleComplexityMeasure=function(n,t,r){var a;if(a=null,n instanceof Array){switch(n[1]){case approx_sine_of_pi_times_rational:a=4;break;case approx_rationalOfPi:a=Math.pow(4,Math.abs(n[3]))*Math.abs(n[2]);break;case approx_rationalOfE:a=Math.pow(3,Math.abs(n[3]))*Math.abs(n[2]);break;default:a=0}a+=Math.abs(n[2])*(Math.abs(n[3])+Math.abs(n[4]))}else a+=Math.abs(n)*(Math.abs(t)+Math.abs(r));return n[2]===1?a-=1:a+=1,n[3]===1?a-=1:a+=1,n[4]===1?a-=1:a+=1,a<0&&(a=0),a},testApprox=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0,h0,_0,c0,f0,q0,D0,$0,k0,R0,C0,I0,Y0,K0,W0,r0,b0,A0,v0,i0,S0,E0,L0,O0;for(t0=[2,3,5,6,7,8,10],uc=0,Ce=t0.length;uc<Ce;uc++)for(r=t0[uc],h0=[2,3,5,6,7,8,10],a=0,ne=h0.length;a<ne;a++)u=h0[a],r!==u&&(console.log("testapproxRadicals testing: 1 * sqrt( "+r+" ) / "+u),t=r/u,i0=Math.sqrt(r)/u,k0=approxRadicals(i0),C0=k0[2]*Math.sqrt(k0[3])/k0[4],Math.abs(i0-C0)>1e-15&&console.log("fail testapproxRadicals: 1 * sqrt( "+r+" ) / "+u+" . obtained: "+k0));for(_0=[2,3,5,6,7,8,10],_=0,$e=_0.length;_<$e;_++)for(r=_0[_],c0=[2,3,5,6,7,8,10],x=0,Ie=c0.length;x<Ie;x++)u=c0[x],r!==u&&(console.log("testapproxRadicals testing with 4 digits: 1 * sqrt( "+r+" ) / "+u),t=r/u,dc=Math.sqrt(r)/u,i0=dc.toFixed(4),k0=approxRadicals(i0),C0=k0[2]*Math.sqrt(k0[3])/k0[4],Math.abs(dc-C0)>1e-15&&console.log("fail testapproxRadicals with 4 digits: 1 * sqrt( "+r+" ) / "+u+" . obtained: "+k0));for(f0=[2,3,5,6,7,8,10],tc=0,Dt=f0.length;tc<Dt;tc++)for(r=f0[tc],q0=[2,3,5,6,7,8,10],sc=0,Lr=q0.length;sc<Lr;sc++)u=q0[sc],r!==u&&(console.log("testapproxRadicals testing: 1 * sqrt( "+r+" / "+u+" )"),t=r/u,i0=Math.sqrt(r/u),k0=approxRadicals(i0),k0!=null&&(C0=k0[2]*Math.sqrt(k0[3]/k0[4]),k0[1]===approx_radicalOfRatio&&Math.abs(i0-C0)>1e-15&&console.log("fail testapproxRadicals: 1 * sqrt( "+r+" / "+u+" ) . obtained: "+k0)));for(D0=[1,2,3,5,6,7,8,10],lc=0,ec=D0.length;lc<ec;lc++)for(r=D0[lc],$0=[1,2,3,5,6,7,8,10],kc=0,ys=$0.length;kc<ys;kc++)u=$0[kc],!(r===1&&u===1)&&(console.log("testapproxRadicals testing with 4 digits:: 1 * sqrt( "+r+" / "+u+" )"),t=r/u,dc=Math.sqrt(r/u),i0=dc.toFixed(4),k0=approxRadicals(i0),C0=k0[2]*Math.sqrt(k0[3]/k0[4]),k0[1]===approx_radicalOfRatio&&Math.abs(dc-C0)>1e-15&&console.log("fail testapproxRadicals with 4 digits:: 1 * sqrt( "+r+" / "+u+" ) . obtained: "+k0));for(r=n0=1;n0<=5;r=++n0)for(u=I0=1;I0<=5;u=++I0)console.log("testApproxAll testing: 1 * log("+r+" ) / "+u),t=r/u,i0=Math.log(r)/u,k0=approxAll(i0),C0=k0[2]*Math.log(k0[3])/k0[4],Math.abs(i0-C0)>1e-15&&console.log("fail testApproxAll: 1 * log("+r+" ) / "+u+" . obtained: "+k0);for(r=K0=1;K0<=5;r=++K0)for(u=r0=1;r0<=5;u=++r0)console.log("testApproxAll testing with 4 digits: 1 * log("+r+" ) / "+u),t=r/u,dc=Math.log(r)/u,i0=dc.toFixed(4),k0=approxAll(i0),C0=k0[2]*Math.log(k0[3])/k0[4],Math.abs(dc-C0)>1e-15&&console.log("fail testApproxAll with 4 digits: 1 * log("+r+" ) / "+u+" . obtained: "+k0);for(r=A0=1;A0<=5;r=++A0)for(u=S0=1;S0<=5;u=++S0)console.log("testApproxAll testing: 1 * log("+r+" / "+u+" )"),t=r/u,i0=Math.log(r/u),k0=approxAll(i0),C0=k0[2]*Math.log(k0[3]/k0[4]),Math.abs(i0-C0)>1e-15&&console.log("fail testApproxAll: 1 * log("+r+" / "+u+" ) . obtained: "+k0);for(r=L0=1;L0<=5;r=++L0)for(u=s=1;s<=5;u=++s)console.log("testApproxAll testing with 4 digits: 1 * log("+r+" / "+u+" )"),t=r/u,dc=Math.log(r/u),i0=dc.toFixed(4),k0=approxAll(i0),C0=k0[2]*Math.log(k0[3]/k0[4]),Math.abs(dc-C0)>1e-15&&console.log("fail testApproxAll with 4 digits: 1 * log("+r+" / "+u+" ) . obtained: "+k0);for(r=m=1;m<=2;r=++m)for(u=w=1;w<=12;u=++w)console.log("testApproxAll testing: 1 * (e ^ "+r+" ) / "+u),t=r/u,i0=Math.pow(Math.E,r)/u,k0=approxAll(i0),C0=k0[2]*Math.pow(Math.E,k0[3])/k0[4],Math.abs(i0-C0)>1e-15&&console.log("fail testApproxAll: 1 * (e ^ "+r+" ) / "+u+" . obtained: "+k0);for(r=nc=1;nc<=2;r=++nc)for(u=cc=1;cc<=12;u=++cc)console.log("approxRationalsOfPowersOfE testing with 4 digits: 1 * (e ^ "+r+" ) / "+u),t=r/u,dc=Math.pow(Math.E,r)/u,i0=dc.toFixed(4),k0=approxRationalsOfPowersOfE(i0),C0=k0[2]*Math.pow(Math.E,k0[3])/k0[4],Math.abs(dc-C0)>1e-15&&console.log("fail approxRationalsOfPowersOfE with 4 digits: 1 * (e ^ "+r+" ) / "+u+" . obtained: "+k0);for(r=e0=1;e0<=2;r=++e0)for(u=Jc=1;Jc<=12;u=++Jc)console.log("testApproxAll testing: 1 * pi ^ "+r+" / "+u),t=r/u,i0=Math.pow(Math.PI,r)/u,k0=approxAll(i0),C0=k0[2]*Math.pow(Math.PI,k0[3])/k0[4],Math.abs(i0-C0)>1e-15&&console.log("fail testApproxAll: 1 * pi ^ "+r+" / "+u+" ) . obtained: "+k0);for(r=d0=1;d0<=2;r=++d0)for(u=Y0=1;Y0<=12;u=++Y0)console.log("approxRationalsOfPowersOfPI testing with 4 digits: 1 * pi ^ "+r+" / "+u),t=r/u,dc=Math.pow(Math.PI,r)/u,i0=dc.toFixed(4),k0=approxRationalsOfPowersOfPI(i0),C0=k0[2]*Math.pow(Math.PI,k0[3])/k0[4],Math.abs(dc-C0)>1e-15&&console.log("fail approxRationalsOfPowersOfPI with 4 digits: 1 * pi ^ "+r+" / "+u+" ) . obtained: "+k0);for(r=W0=1;W0<=4;r=++W0)for(u=b0=1;b0<=4;u=++b0)console.log("testApproxAll testing: 1 * sin( "+r+"/"+u+" )"),t=r/u,i0=Math.sin(t),k0=approxAll(i0),R0=k0[3]/k0[4],C0=k0[2]*Math.sin(R0),Math.abs(i0-C0)>1e-15&&console.log("fail testApproxAll: 1 * sin( "+r+"/"+u+" ) . obtained: "+k0);for(r=v0=1;v0<=4;r=++v0)for(u=E0=1;E0<=4;u=++E0)console.log("testApproxAll testing with 5 digits: 1 * sin( "+r+"/"+u+" )"),t=r/u,dc=Math.sin(t),i0=dc.toFixed(5),k0=approxAll(i0),k0==null&&console.log("fail testApproxAll with 5 digits: 1 * sin( "+r+"/"+u+" ) . obtained:  undefined "),R0=k0[3]/k0[4],C0=k0[2]*Math.sin(R0),n=Math.abs(dc-C0),n>1e-14&&console.log("fail testApproxAll with 5 digits: 1 * sin( "+r+"/"+u+" ) . obtained: "+k0+" error: "+n);for(r=O0=1;O0<=4;r=++O0)for(u=l=1;l<=4;u=++l)console.log("testApproxAll testing with 4 digits: 1 * sin( "+r+"/"+u+" )"),t=r/u,dc=Math.sin(t),i0=dc.toFixed(4),k0=approxAll(i0),k0==null&&console.log("fail testApproxAll with 4 digits: 1 * sin( "+r+"/"+u+" ) . obtained:  undefined "),R0=k0[3]/k0[4],C0=k0[2]*Math.sin(R0),n=Math.abs(dc-C0),n>1e-14&&console.log("fail testApproxAll with 4 digits: 1 * sin( "+r+"/"+u+" ) . obtained: "+k0+" error: "+n);for(i0=0,approxAll(i0)[0]!=="0"&&console.log("fail testApproxAll: 0"),i0=0,approxAll(i0)[0]!=="0"&&console.log("fail testApproxAll: 0.0"),i0=0,approxAll(i0)[0]!=="0"&&console.log("fail testApproxAll: 0.00"),i0=0,approxAll(i0)[0]!=="0"&&console.log("fail testApproxAll: 0.000"),i0=0,approxAll(i0)[0]!=="0"&&console.log("fail testApproxAll: 0.0000"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1.0"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1.00"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1.000"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1.0000"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1.00000"),i0=Math.sqrt(2),approxAll(i0)[0]!=="1 * sqrt( 2 ) / 1"&&console.log("fail testApproxAll: Math.sqrt(2)"),i0=1.41,approxAll(i0)[0]!=="1 * sqrt( 2 ) / 1"&&console.log("fail testApproxAll: 1.41"),i0=1.4,approxRadicals(i0)[0]!=="1 * sqrt( 2 ) / 1"&&console.log("fail approxRadicals: 1.4"),i0=.6,approxLogs(i0)[0]!=="1 * log( 2 ) / 1"&&console.log("fail approxLogs: 0.6"),i0=.69,approxLogs(i0)[0]!=="1 * log( 2 ) / 1"&&console.log("fail approxLogs: 0.69"),i0=.7,approxLogs(i0)[0]!=="1 * log( 2 ) / 1"&&console.log("fail approxLogs: 0.7"),i0=1.09,approxLogs(i0)[0]!=="1 * log( 3 ) / 1"&&console.log("fail approxLogs: 1.09"),i0=1.09,approxAll(i0)[0]!=="1 * log( 3 ) / 1"&&console.log("fail approxAll: 1.09"),i0=1.098,approxAll(i0)[0]!=="1 * log( 3 ) / 1"&&console.log("fail approxAll: 1.098"),i0=1.1,approxAll(i0)[0]!=="1 * log( 3 ) / 1"&&console.log("fail approxAll: 1.1"),i0=1.11,approxAll(i0)[0]!=="1 * log( 3 ) / 1"&&console.log("fail approxAll: 1.11"),i0=Math.sqrt(3),approxAll(i0)[0]!=="1 * sqrt( 3 ) / 1"&&console.log("fail testApproxAll: Math.sqrt(3)"),i0=1,approxAll(i0)[0]!=="1"&&console.log("fail testApproxAll: 1.0000"),i0=3.141592,approxAll(i0)[0]!=="1 * (pi ^ 1 ) / 1 )"&&console.log("fail testApproxAll: 3.141592"),i0=31.41592,approxAll(i0)[0]!=="10 * (pi ^ 1 ) / 1 )"&&console.log("fail testApproxAll: 31.41592"),i0=314.1592,approxAll(i0)[0]!=="100 * (pi ^ 1 ) / 1 )"&&console.log("fail testApproxAll: 314.1592"),i0=3141592653589793e-8,approxAll(i0)[0]!=="10000000 * (pi ^ 1 ) / 1 )"&&console.log("fail testApproxAll: 31415926.53589793"),i0=Math.sqrt(2),approxTrigonometric(i0)[0]!=="2 * sin( 1/4 * pi )"&&console.log("fail approxTrigonometric: Math.sqrt(2)"),i0=Math.sqrt(3),approxTrigonometric(i0)[0]!=="2 * sin( 1/3 * pi )"&&console.log("fail approxTrigonometric: Math.sqrt(3)"),i0=(Math.sqrt(6)-Math.sqrt(2))/4,approxAll(i0)[0]!=="1 * sin( 1/12 * pi )"&&console.log("fail testApproxAll: (Math.sqrt(6) - Math.sqrt(2))/4"),i0=Math.sqrt(2-Math.sqrt(2))/2,approxAll(i0)[0]!=="1 * sin( 1/8 * pi )"&&console.log("fail testApproxAll: Math.sqrt(2 - Math.sqrt(2))/2"),i0=(Math.sqrt(6)+Math.sqrt(2))/4,approxAll(i0)[0]!=="1 * sin( 5/12 * pi )"&&console.log("fail testApproxAll: (Math.sqrt(6) + Math.sqrt(2))/4"),i0=Math.sqrt(2+Math.sqrt(3))/2,approxAll(i0)[0]!=="1 * sin( 5/12 * pi )"&&console.log("fail testApproxAll: Math.sqrt(2 + Math.sqrt(3))/2"),i0=(Math.sqrt(5)-1)/4,approxAll(i0)[0]!=="1 * sin( 1/10 * pi )"&&console.log("fail testApproxAll: (Math.sqrt(5) - 1)/4"),i0=Math.sqrt(10-2*Math.sqrt(5))/4,approxAll(i0)[0]!=="1 * sin( 1/5 * pi )"&&console.log("fail testApproxAll: Math.sqrt(10 - 2*Math.sqrt(5))/4"),i0=Math.sin(Math.PI/7),approxAll(i0)[0]!=="1 * sin( 1/7 * pi )"&&console.log("fail testApproxAll: Math.sin(Math.PI/7)"),i0=Math.sin(Math.PI/9),approxAll(i0)[0]!=="1 * sin( 1/9 * pi )"&&console.log("fail testApproxAll: Math.sin(Math.PI/9)"),i0=1836.15267,approxRationalsOfPowersOfPI(i0)[0]!=="6 * (pi ^ 5 ) / 1 )"&&console.log("fail approxRationalsOfPowersOfPI: 1836.15267"),r=g=1;g<=13;r=++g)for(u=f=1;f<=13;u=++f)console.log("approxTrigonometric testing: 1 * sin( "+r+"/"+u+" * pi )"),t=r/u,i0=Math.sin(Math.PI*t),k0=approxTrigonometric(i0),R0=k0[3]/k0[4],C0=k0[2]*Math.sin(Math.PI*R0),Math.abs(i0-C0)>1e-15&&console.log("fail approxTrigonometric: 1 * sin( "+r+"/"+u+" * pi ) . obtained: "+k0);for(r=Z=1;Z<=13;r=++Z)for(u=ac=1;ac<=13;u=++ac)r===5&&u===11||r===6&&u===11||(console.log("approxTrigonometric testing with 4 digits: 1 * sin( "+r+"/"+u+" * pi )"),t=r/u,dc=Math.sin(Math.PI*t),i0=dc.toFixed(4),k0=approxTrigonometric(i0),R0=k0[3]/k0[4],C0=k0[2]*Math.sin(Math.PI*R0),n=Math.abs(dc-C0),n>1e-14&&console.log("fail approxTrigonometric with 4 digits: 1 * sin( "+r+"/"+u+" * pi ) . obtained: "+k0+" error: "+n));return console.log("testApprox done")},$.approxRadicals=approxRadicals,$.approxRationalsOfLogs=approxRationalsOfLogs,$.approxAll=approxAll,$.testApprox=testApprox,Eval_arccos=function(){return push(cadr(p1)),Eval(),arccos()},arccos=function(){var n,t,r;if(r=0,n=0,save(),p1=pop(),car(p1)===symbol(COS)){push(cadr(p1)),restore();return}if(isdouble(p1)){t=0,n=Math.acos(p1.d),t&&stop("arccos function argument is not in the interval [-1,1]"),push_double(n),restore();return}if(isoneoversqrttwo(p1)||car(p1)===symbol(MULTIPLY)&&equalq(car(cdr(p1)),1,2)&&car(car(cdr(cdr(p1))))===symbol(POWER)&&equaln(car(cdr(car(cdr(cdr(p1))))),2)&&equalq(car(cdr(cdr(car(cdr(cdr(p1)))))),1,2)){evaluatingAsFloats?push_double(Math.PI/4):(push_rational(1,4),push_symbol(PI),multiply()),restore();return}if(isminusoneoversqrttwo(p1)||car(p1)===symbol(MULTIPLY)&&equalq(car(cdr(p1)),-1,2)&&car(car(cdr(cdr(p1))))===symbol(POWER)&&equaln(car(cdr(car(cdr(cdr(p1))))),2)&&equalq(car(cdr(cdr(car(cdr(cdr(p1)))))),1,2)){evaluatingAsFloats?push_double(Math.PI*3/4):(push_rational(3,4),push_symbol(PI),multiply()),restore();return}if(issqrtthreeovertwo(p1)){evaluatingAsFloats?push_double(Math.PI/6):(push_rational(1,6),push_symbol(PI),multiply()),restore();return}if(isminussqrtthreeovertwo(p1)){evaluatingAsFloats?push_double(5*Math.PI/6):(push_rational(5,6),push_symbol(PI),multiply()),restore();return}if(!isrational(p1)){push_symbol(ARCCOS),push(p1),list(2),restore();return}switch(push(p1),push_integer(2),multiply(),r=pop_integer(),r){case-2:evaluatingAsFloats?push_double(Math.PI):push_symbol(PI);break;case-1:evaluatingAsFloats?push_double(Math.PI*2/3):(push_rational(2,3),push_symbol(PI),multiply());break;case 0:evaluatingAsFloats?push_double(Math.PI/2):(push_rational(1,2),push_symbol(PI),multiply());break;case 1:evaluatingAsFloats?push_double(Math.PI/3):(push_rational(1,3),push_symbol(PI),multiply());break;case 2:evaluatingAsFloats?push_double(0):push(zero);break;default:push_symbol(ARCCOS),push(p1),list(2)}return restore()},Eval_arccosh=function(){return push(cadr(p1)),Eval(),arccosh()},arccosh=function(){var n;if(n=0,save(),p1=pop(),car(p1)===symbol(COSH)){push(cadr(p1)),restore();return}if(isdouble(p1)){n=p1.d,n<1&&stop("arccosh function argument is less than 1.0"),n=Math.log(n+Math.sqrt(n*n-1)),push_double(n),restore();return}if(isplusone(p1)){push(zero),restore();return}return push_symbol(ARCCOSH),push(p1),list(2),restore()},Eval_arcsin=function(){return push(cadr(p1)),Eval(),arcsin()},arcsin=function(){var n,t,r;if(r=0,n=0,save(),p1=pop(),car(p1)===symbol(SIN)){push(cadr(p1)),restore();return}if(isdouble(p1)){t=0,n=Math.asin(p1.d),t&&stop("arcsin function argument is not in the interval [-1,1]"),push_double(n),restore();return}if(isoneoversqrttwo(p1)||car(p1)===symbol(MULTIPLY)&&equalq(car(cdr(p1)),1,2)&&car(car(cdr(cdr(p1))))===symbol(POWER)&&equaln(car(cdr(car(cdr(cdr(p1))))),2)&&equalq(car(cdr(cdr(car(cdr(cdr(p1)))))),1,2)){push_rational(1,4),push_symbol(PI),multiply(),restore();return}if(isminusoneoversqrttwo(p1)||car(p1)===symbol(MULTIPLY)&&equalq(car(cdr(p1)),-1,2)&&car(car(cdr(cdr(p1))))===symbol(POWER)&&equaln(car(cdr(car(cdr(cdr(p1))))),2)&&equalq(car(cdr(cdr(car(cdr(cdr(p1)))))),1,2)){evaluatingAsFloats?push_double(-Math.PI/4):(push_rational(-1,4),push_symbol(PI),multiply()),restore();return}if(issqrtthreeovertwo(p1)){evaluatingAsFloats?push_double(Math.PI/3):(push_rational(1,3),push_symbol(PI),multiply()),restore();return}if(isminussqrtthreeovertwo(p1)){evaluatingAsFloats?push_double(-Math.PI/3):(push_rational(-1,3),push_symbol(PI),multiply()),restore();return}if(!isrational(p1)){push_symbol(ARCSIN),push(p1),list(2),restore();return}switch(push(p1),push_integer(2),multiply(),r=pop_integer(),r){case-2:evaluatingAsFloats?push_double(-Math.PI/2):(push_rational(-1,2),push_symbol(PI),multiply());break;case-1:evaluatingAsFloats?push_double(-Math.PI/6):(push_rational(-1,6),push_symbol(PI),multiply());break;case 0:evaluatingAsFloats?push_double(0):push(zero);break;case 1:evaluatingAsFloats?push_double(Math.PI/6):(push_rational(1,6),push_symbol(PI),multiply());break;case 2:evaluatingAsFloats?push_double(Math.PI/2):(push_rational(1,2),push_symbol(PI),multiply());break;default:push_symbol(ARCSIN),push(p1),list(2)}return restore()},Eval_arcsinh=function(){return push(cadr(p1)),Eval(),arcsinh()},arcsinh=function(){var n;if(n=0,save(),p1=pop(),car(p1)===symbol(SINH)){push(cadr(p1)),restore();return}if(isdouble(p1)){n=p1.d,n=Math.log(n+Math.sqrt(n*n+1)),push_double(n),restore();return}if(isZeroAtomOrTensor(p1)){push(zero),restore();return}return push_symbol(ARCSINH),push(p1),list(2),restore()},Eval_arctan=function(){return push(cadr(p1)),Eval(),arctan()},arctan=function(){var n,t;if(n=0,save(),p1=pop(),car(p1)===symbol(TAN)){push(cadr(p1)),restore();return}if(isdouble(p1)){t=0,n=Math.atan(p1.d),t&&stop("arctan function error"),push_double(n),restore();return}if(isZeroAtomOrTensor(p1)){push(zero),restore();return}if(isnegative(p1)){push(p1),negate(),arctan(),negate(),restore();return}if(Find(p1,symbol(SIN))&&Find(p1,symbol(COS))&&(push(p1),numerator(),p2=pop(),push(p1),denominator(),p3=pop(),car(p2)===symbol(SIN)&&car(p3)===symbol(COS)&&equal(cadr(p2),cadr(p3)))){push(cadr(p2)),restore();return}if(car(p1)===symbol(POWER)&&equaln(cadr(p1),3)&&equalq(caddr(p1),-1,2)||car(p1)===symbol(MULTIPLY)&&equalq(car(cdr(p1)),1,3)&&car(car(cdr(cdr(p1))))===symbol(POWER)&&equaln(car(cdr(car(cdr(cdr(p1))))),3)&&equalq(car(cdr(cdr(car(cdr(cdr(p1)))))),1,2)){push_rational(1,6),evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),multiply(),restore();return}if(equaln(p1,1)){push_rational(1,4),evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),multiply(),restore();return}if(car(p1)===symbol(POWER)&&equaln(cadr(p1),3)&&equalq(caddr(p1),1,2)){push_rational(1,3),evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),multiply(),restore();return}return push_symbol(ARCTAN),push(p1),list(2),restore()},Eval_arctanh=function(){return push(cadr(p1)),Eval(),arctanh()},arctanh=function(){var n;if(n=0,save(),p1=pop(),car(p1)===symbol(TANH)){push(cadr(p1)),restore();return}if(isdouble(p1)){n=p1.d,(n<-1||n>1)&&stop("arctanh function argument is not in the interval [-1,1]"),n=Math.log((1+n)/(1-n))/2,push_double(n),restore();return}if(isZeroAtomOrTensor(p1)){push(zero),restore();return}return push_symbol(ARCTANH),push(p1),list(2),restore()},DEBUG_ARG=!1,Eval_arg=function(){return push(cadr(p1)),Eval(),arg()},arg=function(){return save(),p1=pop(),push(p1),numerator(),yyarg(),push(p1),denominator(),yyarg(),subtract(),restore()},yyarg=function(){if(save(),p1=pop(),ispositivenumber(p1)||p1===symbol(PI))isdouble(p1)||evaluatingAsFloats?push_double(0):push_integer(0);else if(isnegativenumber(p1))isdouble(p1)||evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),negate();else if(issymbol(p1))push_symbol(ARG),push(p1),list(2);else if(car(p1)===symbol(POWER)&&equaln(cadr(p1),-1))evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),push(caddr(p1)),multiply();else if(car(p1)===symbol(POWER)&&cadr(p1)===symbol(E))push(caddr(p1)),imag();else if(car(p1)===symbol(POWER)&&isoneovertwo(caddr(p1))){if(DEBUG_ARG&&console.log("arg of a sqrt: "+p1),DEBUG_ARG)debugger;push(cadr(p1)),arg(),DEBUG_ARG&&console.log(" = 1/2 * "+stack[tos-1]),push(caddr(p1)),multiply()}else if(car(p1)===symbol(MULTIPLY))for(push_integer(0),p1=cdr(p1);iscons(p1);)push(car(p1)),arg(),add(),p1=cdr(p1);else car(p1)===symbol(ADD)?(push(p1),rect(),p1=pop(),push(p1),real(),p2=pop(),push(p1),imag(),p3=pop(),isZeroAtomOrTensor(p2)?(evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),isnegative(p3)&&negate()):(push(p3),push(p2),divide(),arctan(),isnegative(p2)&&(evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),isnegative(p3)?subtract():add()))):isZeroAtomOrTensor(get_binding(symbol(ASSUME_REAL_VARIABLES)))?(push_symbol(ARG),push(p1),list(2)):push_integer(0);return restore()},bake=function(){var n,t,r,a,s,l;if(n=0,t=0,r=0,a=0,s=0,l=0,expanding++,save(),p1=pop(),t=ispolyexpandedform(p1,symbol(SYMBOL_S)),r=ispolyexpandedform(p1,symbol(SYMBOL_T)),a=ispolyexpandedform(p1,symbol(SYMBOL_X)),s=ispolyexpandedform(p1,symbol(SYMBOL_Y)),l=ispolyexpandedform(p1,symbol(SYMBOL_Z)),t===1&&r===0&&a===0&&s===0&&l===0)p2=symbol(SYMBOL_S),bake_poly();else if(t===0&&r===1&&a===0&&s===0&&l===0)p2=symbol(SYMBOL_T),bake_poly();else if(t===0&&r===0&&a===1&&s===0&&l===0)p2=symbol(SYMBOL_X),bake_poly();else if(t===0&&r===0&&a===0&&s===1&&l===0)p2=symbol(SYMBOL_Y),bake_poly();else if(t===0&&r===0&&a===0&&s===0&&l===1)p2=symbol(SYMBOL_Z),bake_poly();else if(iscons(p1)&&car(p1)!==symbol(FOR)){for(n=tos,push(car(p1)),p1=cdr(p1);iscons(p1);)push(car(p1)),bake(),p1=cdr(p1);list(tos-n)}else push(p1);return restore(),expanding--},polyform=function(){var n;if(n=0,save(),p2=pop(),p1=pop(),ispolyexpandedform(p1,p2))bake_poly();else if(iscons(p1)){for(n=tos,push(car(p1)),p1=cdr(p1);iscons(p1);)push(car(p1)),push(p2),polyform(),p1=cdr(p1);list(tos-n)}else push(p1);return restore()},bake_poly=function(){var n,t,r,a,s,l;for(t=0,r=0,a=0,s=0,n=tos,a=coeff(p2,p1),t=tos,r=l=a-1;l>=0;r=l+=-1)p1=stack[n+r],bake_poly_term(r);return s=tos-t,s>1&&(list(s),push(symbol(ADD)),swap(),cons()),p1=pop(),moveTos(tos-a),push(p1)},bake_poly_term=function(n){var t,r;if(t=0,r=0,!isZeroAtomOrTensor(p1)){if(n===0){if(car(p1)===symbol(ADD))for(p1=cdr(p1);iscons(p1);)push(car(p1)),p1=cdr(p1);else push(p1);return}if(t=tos,car(p1)===symbol(MULTIPLY))for(p1=cdr(p1);iscons(p1);)push(car(p1)),p1=cdr(p1);else equaln(p1,1)||push(p1);if(n===1?push(p2):(push(symbol(POWER)),push(p2),push_integer(n),list(3)),r=tos-t,r>1)return list(r),push(symbol(MULTIPLY)),swap(),cons()}},Eval_besselj=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),besselj()},besselj=function(){return save(),yybesselj(),restore()},yybesselj=function(){var n,t;if(n=0,t=0,p2=pop(),p1=pop(),push(p2),t=pop_integer(),isdouble(p1)&&!isNaN(t)){n=jn(t,p1.d),push_double(n);return}if(isZeroAtomOrTensor(p1)&&isZeroAtomOrTensor(p2)){push_integer(1);return}if(isZeroAtomOrTensor(p1)&&!isNaN(t)){push_integer(0);return}if(p2.k===NUM&&MEQUAL(p2.q.b,2)){if(MEQUAL(p2.q.a,1)){evaluatingAsFloats?push_double(2/Math.PI):(push_integer(2),push_symbol(PI),divide()),push(p1),divide(),push_rational(1,2),power(),push(p1),sine(),multiply();return}if(MEQUAL(p2.q.a,-1)){evaluatingAsFloats?push_double(2/Math.PI):(push_integer(2),push_symbol(PI),divide()),push(p1),divide(),push_rational(1,2),power(),push(p1),cosine(),multiply();return}push_integer(MSIGN(p2.q.a)),p3=pop(),push_integer(2),push(p1),divide(),push(p2),push(p3),subtract(),multiply(),push(p1),push(p2),push(p3),subtract(),besselj(),multiply(),push(p1),push(p2),push_integer(2),push(p3),multiply(),subtract(),besselj(),subtract();return}if(isnegativeterm(p1)){push(p1),negate(),push(p2),power(),push(p1),push(p2),negate(),power(),multiply(),push_symbol(BESSELJ),push(p1),negate(),push(p2),list(3),multiply();return}if(isnegativeterm(p2)){push_integer(-1),push(p2),power(),push_symbol(BESSELJ),push(p1),push(p2),negate(),list(3),multiply();return}return push(symbol(BESSELJ)),push(p1),push(p2),list(3)},Eval_bessely=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),bessely()},bessely=function(){return save(),yybessely(),restore()},yybessely=function(){var n,t;if(n=0,t=0,p2=pop(),p1=pop(),push(p2),t=pop_integer(),isdouble(p1)&&!isNaN(t)){n=yn(t,p1.d),push_double(n);return}if(isnegativeterm(p2)){push_integer(-1),push(p2),power(),push_symbol(BESSELY),push(p1),push(p2),negate(),list(3),multiply();return}push_symbol(BESSELY),push(p1),push(p2),list(3)},mint=function(n){return bigInt(n)},isSmall=function(n){return n.geq(Number.MIN_SAFE_INTEGER)&&n.leq(Number.MAX_SAFE_INTEGER)},setSignTo=function(n,t){if(n.isPositive()){if(t<0)return n.multiply(bigInt(-1))}else if(t>0)return n.multiply(bigInt(-1));return n},makeSignSameAs=function(n,t){if(n.isPositive()){if(t.isNegative())return n.multiply(bigInt(-1))}else if(t.isPositive())return n.multiply(bigInt(-1));return n},makePositive=function(n){return n.isNegative()?n.multiply(bigInt(-1)):n},add_numbers=function(){var n,t,r;if(n=1,t=1,isrational(stack[tos-1])&&isrational(stack[tos-2])){qadd();return}return save(),p2=pop(),p1=pop(),isdouble(p1)?n=p1.d:n=convert_rational_to_double(p1),isdouble(p2)?t=p2.d:t=convert_rational_to_double(p2),r=n+t,push_double(r),restore()},multiply_numbers=function(){var n,t;if(n=0,t=0,isrational(stack[tos-1])&&isrational(stack[tos-2])){qmul();return}return save(),p2=pop(),p1=pop(),isdouble(p1)?n=p1.d:n=convert_rational_to_double(p1),isdouble(p2)?t=p2.d:t=convert_rational_to_double(p2),push_double(n*t),restore()},divide_numbers=function(){var n,t;if(n=0,t=0,isrational(stack[tos-1])&&isrational(stack[tos-2])){qdiv();return}return save(),p2=pop(),p1=pop(),isZeroAtomOrTensor(p2)&&stop("divide by zero"),isdouble(p1)?n=p1.d:n=convert_rational_to_double(p1),isdouble(p2)?t=p2.d:t=convert_rational_to_double(p2),push_double(n/t),restore()},invert_number=function(){var n,t;if(save(),p1=pop(),isZeroAtomOrTensor(p1)&&stop("divide by zero"),isdouble(p1)){push_double(1/p1.d),restore();return}return n=bigInt(p1.q.a),t=bigInt(p1.q.b),t=makeSignSameAs(t,n),n=setSignTo(n,1),p1=new U,p1.k=NUM,p1.q.a=t,p1.q.b=n,push(p1),restore()},compare_rationals=function(n,t){var r,a,s;return s=0,r=mmul(n.q.a,t.q.b),a=mmul(n.q.b,t.q.a),s=mcmp(r,a),s},compare_numbers=function(n,t){var r,a;return r=0,a=0,isrational(n)&&isrational(t)?compare_rationals(n,t):(isdouble(n)?r=n.d:r=convert_rational_to_double(n),isdouble(t)?a=t.d:a=convert_rational_to_double(t),r<a?-1:r>a?1:0)},negate_number=function(){if(save(),p1=pop(),isZeroAtomOrTensor(p1)){push(p1),restore();return}switch(p1.k){case NUM:p2=new U,p2.k=NUM,p2.q.a=bigInt(p1.q.a.multiply(bigInt.minusOne)),p2.q.b=bigInt(p1.q.b),push(p2);break;case DOUBLE:push_double(-p1.d);break;default:stop("bug caught in mp_negate_number")}return restore()},bignum_truncate=function(){var n;return save(),p1=pop(),n=mdiv(p1.q.a,p1.q.b),p1=new U,p1.k=NUM,p1.q.a=n,p1.q.b=bigInt(1),push(p1),restore()},mp_numerator=function(){if(save(),p1=pop(),p1.k!==NUM){push(one),restore();return}return p2=new U,p2.k=NUM,p2.q.a=bigInt(p1.q.a),p2.q.b=bigInt(1),push(p2),restore()},mp_denominator=function(){if(save(),p1=pop(),p1.k!==NUM){push(one),restore();return}return p2=new U,p2.k=NUM,p2.q.a=bigInt(p1.q.b),p2.q.b=bigInt(1),push(p2),restore()},bignum_power_number=function(n){var t,r,a;return save(),p1=pop(),t=mpow(p1.q.a,Math.abs(n)),r=mpow(p1.q.b,Math.abs(n)),n<0&&(a=t,t=r,r=a,t=makeSignSameAs(t,r),r=setSignTo(r,1)),p1=new U,p1.k=NUM,p1.q.a=t,p1.q.b=r,push(p1),restore()},convert_rational_to_double=function(n){var t,r;if(n.q==null)debugger;return t=n.q.a.divmod(n.q.b),r=t.quotient+t.remainder/n.q.b.toJSNumber(),r},new_integer=function(n){var t;return t=new U,t.k=NUM,t.q.a=bigInt(n),t.q.b=bigInt(1),t},push_integer=function(n){return DEBUG&&console.log("pushing integer "+n),push(new_integer(n))},push_double=function(n){return save(),p1=new U,p1.k=DOUBLE,p1.d=n,push(p1),restore()},push_rational=function(n,t){var r;return r=new U,r.k=NUM,r.q.a=bigInt(n),r.q.b=bigInt(t),push(r)},pop_integer=function(){var n;switch(n=NaN,save(),p1=pop(),p1.k){case NUM:isinteger(p1)&&isSmall(p1.q.a)&&(n=p1.q.a.toJSNumber());break;case DOUBLE:DEBUG&&console.log("popping integer but double is found"),Math.floor(p1.d)===p1.d&&(DEBUG&&console.log("...altough it's an integer"),n=p1.d)}return restore(),n},bignum_scan_integer=function(n){var t,r,a;return save(),r=0,a=n[r],(a==="+"||a==="-")&&r++,t=bigInt(n.substring(r)),p1=new U,p1.k=NUM,p1.q.a=t,p1.q.b=bigInt(1),push(p1),a==="-"&&negate(),restore()},bignum_scan_float=function(n){return push_double(parseFloat(n))},print_number=function(n,t){var r,a,s;switch(a="",s="",n.k){case NUM:r=n.q.a.toString(),t||r[0]==="-"&&(r=r.substring(1)),printMode===PRINTMODE_LATEX&&isfraction(n)&&(r="\\frac{"+r+"}{"),a+=r,isfraction(n)&&(printMode!==PRINTMODE_LATEX&&(a+="/"),s=n.q.b.toString(),printMode===PRINTMODE_LATEX&&(s+="}"),a+=s);break;case DOUBLE:r=doubleToReasonableString(n.d),t||r[0]==="-"&&(r=r.substring(1)),a+=r}return a},gcd_numbers=function(){return save(),p2=pop(),p1=pop(),p3=new U,p3.k=NUM,p3.q.a=mgcd(p1.q.a,p2.q.a),p3.q.b=mgcd(p1.q.b,p2.q.b),p3.q.a=setSignTo(p3.q.a,1),push(p3),restore()},pop_double=function(){var n;switch(n=0,save(),p1=pop(),p1.k){case NUM:n=convert_rational_to_double(p1);break;case DOUBLE:n=p1.d;break;default:n=0}return restore(),n},bignum_float=function(){var n;return n=0,n=convert_rational_to_double(pop()),push_double(n)},bignum_factorial=function(n){return save(),p1=new U,p1.k=NUM,p1.q.a=__factorial(n),p1.q.b=bigInt(1),push(p1),restore()},__factorial=function(n){var t,r,a,s,l,u;if(a=0,n===0||n===1)return t=bigInt(1),t;if(t=bigInt(2),r=bigInt(0),3<=n)for(a=s=3,l=n;3<=l?s<=l:s>=l;a=3<=l?++s:--s)r=bigInt(a),u=mmul(t,r),t=u;return t},Eval_binomial=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),binomial()},binomial=function(){return save(),ybinomial(),restore()},ybinomial=function(){if(p2=pop(),p1=pop(),BINOM_check_args()===0){push(zero);return}return push(p1),factorial(),push(p2),factorial(),divide(),push(p1),push(p2),subtract(),factorial(),divide()},BINOM_check_args=function(){return isNumericAtom(p1)&&lessp(p1,zero)||isNumericAtom(p2)&&lessp(p2,zero)||isNumericAtom(p1)&&isNumericAtom(p2)&&lessp(p1,p2)?0:1},Eval_ceiling=function(){return push(cadr(p1)),Eval(),ceiling()},ceiling=function(){return save(),yyceiling(),restore()},yyceiling=function(){var n;if(n=0,p1=pop(),!isNumericAtom(p1)){push_symbol(CEILING),push(p1),list(2);return}if(isdouble(p1)){n=Math.ceil(p1.d),push_double(n);return}if(isinteger(p1)){push(p1);return}return p3=new U,p3.k=NUM,p3.q.a=mdiv(p1.q.a,p1.q.b),p3.q.b=mint(1),push(p3),isnegativenumber(p1)?1:(push_integer(1),add())},Eval_choose=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),choose()},choose=function(){if(save(),p2=pop(),p1=pop(),choose_check_args()===0){push_integer(0),restore();return}return push(p1),factorial(),push(p2),factorial(),divide(),push(p1),push(p2),subtract(),factorial(),divide(),restore()},choose_check_args=function(){return isNumericAtom(p1)&&lessp(p1,zero)||isNumericAtom(p2)&&lessp(p2,zero)||isNumericAtom(p1)&&isNumericAtom(p2)&&lessp(p1,p2)?0:1},Eval_circexp=function(){return push(cadr(p1)),Eval(),circexp(),Eval()},circexp=function(){var n,t,r,a;if(t=0,n=0,save(),p1=pop(),car(p1)===symbol(COS)){push(cadr(p1)),expcos(),restore();return}if(car(p1)===symbol(SIN)){push(cadr(p1)),expsin(),restore();return}if(car(p1)===symbol(TAN)){p1=cadr(p1),push(imaginaryunit),push(p1),multiply(),exponential(),p2=pop(),push(imaginaryunit),push(p1),multiply(),negate(),exponential(),p3=pop(),push(p3),push(p2),subtract(),push(imaginaryunit),multiply(),push(p2),push(p3),add(),divide(),restore();return}if(car(p1)===symbol(COSH)){p1=cadr(p1),push(p1),exponential(),push(p1),negate(),exponential(),add(),push_rational(1,2),multiply(),restore();return}if(car(p1)===symbol(SINH)){p1=cadr(p1),push(p1),exponential(),push(p1),negate(),exponential(),subtract(),push_rational(1,2),multiply(),restore();return}if(car(p1)===symbol(TANH)){p1=cadr(p1),push(p1),push_integer(2),multiply(),exponential(),p1=pop(),push(p1),push_integer(1),subtract(),push(p1),push_integer(1),add(),divide(),restore();return}if(iscons(p1)){for(n=tos;iscons(p1);)push(car(p1)),circexp(),p1=cdr(p1);list(tos-n),restore();return}if(p1.k===TENSOR){for(push(p1),copy_tensor(),p1=pop(),t=r=0,a=p1.tensor.nelem;0<=a?r<a:r>a;t=0<=a?++r:--r)push(p1.tensor.elem[t]),circexp(),p1.tensor.elem[t]=pop();push(p1),restore();return}return push(p1),restore()},Eval_clearall=function(){return do_clearall(),push(symbol(NIL))},do_clearall=function(){return test_flag===0&&clear_term(),do_clearPatterns(),clear_symbols(),defn(),codeGen=!1},clearRenamedVariablesToAvoidBindingToExternalScope=function(){var n,t,r,a;for(a=[],n=t=0,r=symtab.length;0<=r?t<r:t>r;n=0<=r?++t:--t)symtab[n].printname.indexOf("AVOID_BINDING_TO_EXTERNAL_SCOPE_VALUE")!==-1?(symtab[n].k=SYM,symtab[n].printname="",binding[n]=symtab[n],a.push(isSymbolReclaimable[n]=!0)):a.push(void 0);return a},Eval_clear=function(){var n,t;for(p2=cdr(p1);iscons(p2);)t=car(p2),t.k!==SYM&&stop("symbol error"),n=symtab.indexOf(t),symtab[n].k=SYM,symtab[n].printname="",binding[n]=symtab[n],isSymbolReclaimable[n]=!0,p2=cdr(p2);return push(symbol(NIL))},DEBUG_CLOCKFORM=!1,Eval_clock=function(){return push(cadr(p1)),Eval(),clockform()},clockform=function(){return save(),p1=pop(),push(p1),abs(),DEBUG_CLOCKFORM&&console.log("clockform: abs of "+p1+" : "+stack[tos-1]),push_symbol(POWER),push_integer(-1),push(p1),arg(),DEBUG_CLOCKFORM&&console.log("clockform: arg of "+p1+" : "+stack[tos-1]),evaluatingAsFloats?push_double(Math.PI):push(symbol(PI)),divide(),DEBUG_CLOCKFORM&&console.log("clockform: divide : "+stack[tos-1]),list(3),DEBUG_CLOCKFORM&&console.log("clockform: power : "+stack[tos-1]),multiply(),DEBUG_CLOCKFORM&&console.log("clockform: multiply : "+stack[tos-1]),restore()},Eval_coeff=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),push(cadddr(p1)),Eval(),p3=pop(),p2=pop(),p1=pop(),p3===symbol(NIL)&&(p3=p2,p2=symbol(SYMBOL_X)),push(p1),push(p2),push(p3),power(),divide(),push(p2),filter()},coeff=function(n,t){var r,a,s,l;for(DEBUG&&console.log("coeff: "+n+" "+t),r=0;;){if(push(t),push(n),push(zero),subst(),Eval(),a=pop(),push(a),r++,push(t),push(a),subtract(),s=pop(),equal(s,zero))return DEBUG&&console.log("coeff: result: "+r),r;push(s),push(n),l=expanding,expanding=1,divide(),expanding=l,t=pop()}},Eval_cofactor=function(){var n,t,r;return n=0,t=0,r=0,push(cadr(p1)),Eval(),p2=pop(),istensor(p2)&&p2.tensor.ndim===2&&p2.tensor.dim[0]===p2.tensor.dim[1]||stop("cofactor: 1st arg: square matrix expected"),r=p2.tensor.dim[0],push(caddr(p1)),Eval(),n=pop_integer(),(n<1||n>r)&&stop("cofactor: 2nd arg: row index expected"),push(cadddr(p1)),Eval(),t=pop_integer(),(t<1||t>r)&&stop("cofactor: 3rd arg: column index expected"),cofactor(p2,r,n-1,t-1)},cofactor=function(n,t,r,a){var s,l,u,_,m,g;for(s=0,u=0,s=_=0,m=t;0<=m?_<m:_>m;s=0<=m?++_:--_)for(u=l=0,g=t;0<=g?l<g:l>g;u=0<=g?++l:--l)s!==r&&u!==a&&push(n.tensor.elem[t*s+u]);if(determinant(t-1),(r+a)%2)return negate()},Eval_condense=function(){return push(cadr(p1)),Eval(),Condense()},Condense=function(){var n;return n=expanding,expanding=0,save(),yycondense(),restore(),expanding=n},yycondense=function(){if(p1=pop(),car(p1)!==symbol(ADD)){push(p1);return}for(p3=cdr(p1),push(car(p3)),p3=cdr(p3);iscons(p3);)push(car(p3)),DEBUG&&console.log("calculating gcd between: "+stack[tos-1]+" and "+stack[tos-2]),gcd(),DEBUG&&console.log("partial gcd: "+stack[tos-1]),p3=cdr(p3);for(DEBUG&&console.log("condense: this is the gcd of all the terms: "+stack[tos-1]),inverse(),p2=pop(),push(zero),p3=cdr(p1);iscons(p3);)push(p2),push(car(p3)),multiply_noexpand(),add(),p3=cdr(p3);return yyexpand(),push(p2),divide()},Eval_conj=function(){return push(cadr(p1)),Eval(),p1=pop(),push(p1),Find(p1,imaginaryunit)?conjugate():(polar(),conjugate(),clockform())},conjugate=function(){return push(imaginaryunit),push(imaginaryunit),negate(),subst(),Eval()},consCount=0,cons=function(){var n;if(consCount++,DEBUG&&console.log("cons tos: "+tos+" # "+consCount),n=new U,n.k=CONS,n.cons.cdr=pop(),n===n.cons.cdr){debugger;console.log("something wrong p == its cdr")}return n.cons.car=pop(),push(n)},Eval_contract=function(){return push(cadr(p1)),Eval(),cddr(p1)===symbol(NIL)?(push_integer(1),push_integer(2)):(push(caddr(p1)),Eval(),push(cadddr(p1)),Eval()),contract()},contract=function(){return save(),yycontract(),restore()},yycontract=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc;if(s=0,l=0,_=0,g=0,f=0,w=0,Ce=0,$e=0,Ie=0,t=[],r=[],p3=pop(),p2=pop(),p1=pop(),!istensor(p1)){isZeroAtomOrTensor(p1)||stop("contract: tensor expected, 1st arg is not a tensor"),push(zero);return}for(push(p2),f=pop_integer(),push(p3),w=pop_integer(),$e=p1.tensor.ndim,(f<1||f>$e||w<1||w>$e||f===w||p1.tensor.dim[f-1]!==p1.tensor.dim[w-1])&&stop("contract: index out of range"),f--,w--,Ce=p1.tensor.dim[f],Ie=1,l=Dt=0,ec=$e;0<=ec?Dt<ec:Dt>ec;l=0<=ec?++Dt:--Dt)l!==f&&l!==w&&(Ie*=p1.tensor.dim[l]);for(p2=alloc_tensor(Ie),p2.tensor.ndim=$e-2,_=0,l=u=0,ys=$e;0<=ys?u<ys:u>ys;l=0<=ys?++u:--u)l!==f&&l!==w&&(p2.tensor.dim[_++]=p1.tensor.dim[l]);for(n=p1.tensor.elem,a=p2.tensor.elem,l=m=0,tc=$e;0<=tc?m<tc:m>tc;l=0<=tc?++m:--m)t[l]=0,r[l]=p1.tensor.dim[l];for(l=x=0,nc=Ie;0<=nc?x<nc:x>nc;l=0<=nc?++x:--x){for(push(zero),_=Z=0,ac=Ce;0<=ac?Z<ac:Z>ac;_=0<=ac?++Z:--Z){for(t[f]=_,t[w]=_,s=0,g=ne=0,sc=$e;0<=sc?ne<sc:ne>sc;g=0<=sc?++ne:--ne)s=s*r[g]+t[g];push(n[s]),add()}for(a[l]=pop(),_=Lr=cc=$e-1;cc<=0?Lr<=0:Lr>=0;_=cc<=0?++Lr:--Lr)if(!(_===f||_===w)){if(++t[_]<r[_])break;t[_]=0}}return push(Ie===1?a[0]:p2)},Eval_cos=function(){return push(cadr(p1)),Eval(),cosine()},cosine=function(){return save(),p1=pop(),car(p1)===symbol(ADD)?cosine_of_angle_sum():cosine_of_angle(),restore()},cosine_of_angle_sum=function(){for(p2=cdr(p1);iscons(p2);){if(p4=car(p2),isnpi(p4)){push(p1),push(p4),subtract(),p3=pop(),push(p3),cosine(),push(p4),cosine(),multiply(),push(p3),sine(),push(p4),sine(),multiply(),subtract();return}p2=cdr(p2)}return cosine_of_angle()},cosine_of_angle=function(){var n,t;if(car(p1)===symbol(ARCCOS)){push(cadr(p1));return}if(isdouble(p1)){n=Math.cos(p1.d),Math.abs(n)<1e-10&&(n=0),push_double(n);return}if(isnegative(p1)&&(push(p1),negate(),p1=pop()),car(p1)===symbol(ARCTAN)){push_integer(1),push(cadr(p1)),push_integer(2),power(),add(),push_rational(-1,2),power();return}if(push(p1),push_integer(180),multiply(),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),divide(),t=pop_integer(),t<0||isNaN(t)){push(symbol(COS)),push(p1),list(2);return}switch(t%360){case 90:case 270:return push_integer(0);case 60:case 300:return push_rational(1,2);case 120:case 240:return push_rational(-1,2);case 45:case 315:return push_rational(1,2),push_integer(2),push_rational(1,2),power(),multiply();case 135:case 225:return push_rational(-1,2),push_integer(2),push_rational(1,2),power(),multiply();case 30:case 330:return push_rational(1,2),push_integer(3),push_rational(1,2),power(),multiply();case 150:case 210:return push_rational(-1,2),push_integer(3),push_rational(1,2),power(),multiply();case 0:return push_integer(1);case 180:return push_integer(-1);default:return push(symbol(COS)),push(p1),list(2)}},Eval_cosh=function(){return push(cadr(p1)),Eval(),ycosh()},ycosh=function(){return save(),yycosh(),restore()},yycosh=function(){var n;if(n=0,p1=pop(),car(p1)===symbol(ARCCOSH)){push(cadr(p1));return}if(isdouble(p1)){n=Math.cosh(p1.d),Math.abs(n)<1e-10&&(n=0),push_double(n);return}if(isZeroAtomOrTensor(p1)){push(one);return}return push_symbol(COSH),push(p1),list(2)},Eval_decomp=function(){var n;return save(),console.log("Eval_decomp is being called!!!!!!!!!!!!!!!!!!!!"),n=tos,push(symbol(NIL)),push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),p1=pop(),p1===symbol(NIL)?guess():push(p1),decomp(!1),list(tos-n),restore()},pushTryNotToDuplicate=function(n){if(tos>0&&(DEBUG&&console.log("comparing "+n+" to: "+stack[tos-1]),equal(n,stack[tos-1]))){DEBUG&&console.log("skipping "+n+" because it's already on stack ");return}return push(n)},decomp=function(n){if(save(),p2=pop(),p1=pop(),DEBUG&&console.log("DECOMPOSING "+p1),n){if(!iscons(p1)){DEBUG&&console.log(" ground thing: "+p1),pushTryNotToDuplicate(p1),restore();return}}else if(Find(p1,p2)===0){DEBUG&&console.log(" entire expression is constant"),pushTryNotToDuplicate(p1),restore();return}if(isadd(p1)){decomp_sum(n),restore();return}if(ismultiply(p1)){decomp_product(n),restore();return}for(DEBUG&&console.log(" naive decomp"),p3=cdr(p1),DEBUG&&console.log("startig p3: "+p3);iscons(p3);)n&&push(car(p3)),DEBUG&&console.log("recursive decomposition"),push(car(p3)),DEBUG&&console.log("car(p3): "+car(p3)),push(p2),DEBUG&&console.log("p2: "+p2),decomp(n),p3=cdr(p3);return restore()},decomp_sum=function(n){var t;for(DEBUG&&console.log(" decomposing the sum "),t=0,p3=cdr(p1);iscons(p3);)(Find(car(p3),p2)||n)&&(push(car(p3)),push(p2),decomp(n)),p3=cdr(p3);for(t=tos,p3=cdr(p1);iscons(p3);)Find(car(p3),p2)===0&&pushTryNotToDuplicate(car(p3)),p3=cdr(p3);if(tos-t)return add_all(tos-t),p3=pop(),pushTryNotToDuplicate(p3),push(p3),negate()},decomp_product=function(n){var t;for(DEBUG&&console.log(" decomposing the product "),t=0,p3=cdr(p1);iscons(p3);)(Find(car(p3),p2)||n)&&(push(car(p3)),push(p2),decomp(n)),p3=cdr(p3);for(t=tos,p3=cdr(p1);iscons(p3);)Find(car(p3),p2)===0&&pushTryNotToDuplicate(car(p3)),p3=cdr(p3);if(tos-t)return multiply_all(tos-t)},define_user_function=function(){return p3=caadr(p1),p4=cdadr(p1),p5=caddr(p1),issymbol(p3)||stop("function name?"),car(p5)===symbol(EVAL)&&(push(cadr(p5)),Eval(),p5=pop()),push_symbol(FUNCTION),push(p5),push(p4),list(3),p5=pop(),set_binding(p3,p5),push_symbol(NIL)},Eval_function_reference=function(){return push(p1)},Eval_defint=function(){for(push(cadr(p1)),Eval(),p2=pop(),p1=cddr(p1);iscons(p1);)push(car(p1)),p1=cdr(p1),Eval(),p3=pop(),push(car(p1)),p1=cdr(p1),Eval(),p4=pop(),push(car(p1)),p1=cdr(p1),Eval(),p5=pop(),push(p2),push(p3),integral(),p2=pop(),push(p2),push(p3),push(p5),subst(),Eval(),push(p2),push(p3),push(p4),subst(),Eval(),subtract(),p2=pop();return push(p2)},Eval_degree=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),p1=pop(),p1===symbol(NIL)?guess():push(p1),degree()},degree=function(){return save(),p2=pop(),p1=pop(),p3=zero,yydegree(p1),push(p3),restore()},yydegree=function(n){var t;if(equal(n,p2)){if(isZeroAtomOrTensor(p3))return p3=one}else if(car(n)===symbol(POWER)){if(equal(cadr(n),p2)&&isNumericAtom(caddr(n))&&lessp(p3,caddr(n)))return p3=caddr(n)}else if(iscons(n)){for(n=cdr(n),t=[];iscons(n);)yydegree(car(n)),t.push(n=cdr(n));return t}},Eval_denominator=function(){return push(cadr(p1)),Eval(),denominator()},denominator=function(){var n,t;if(n=0,t=pop(),car(t)===symbol(ADD)&&(push(t),rationalize(),t=pop()),car(t)===symbol(MULTIPLY)&&!isplusone(car(cdr(t)))){for(n=tos,t=cdr(t);iscons(t);)push(car(t)),denominator(),t=cdr(t);return multiply_all(tos-n)}else return isrational(t)?(push(t),mp_denominator()):car(t)===symbol(POWER)&&isnegativeterm(caddr(t))?(push(t),reciprocate()):push(one)},Eval_derivative=function(){var n,t,r,a,s;for(p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),push(car(p1)),Eval(),p2=pop(),p2===symbol(NIL)?(guess(),push(symbol(NIL))):isNumericAtom(p2)?(guess(),push(p2)):(push(p2),p1=cdr(p1),push(car(p1)),Eval()),p5=pop(),p4=pop(),p3=pop();;){if(isNumericAtom(p5)?(push(p5),t=pop_integer(),isNaN(t)&&stop("nth derivative: check n")):t=1,push(p3),t>=0)for(r=0,a=t;0<=a?r<a:r>a;0<=a?++r:--r)push(p4),derivative();else for(t=-t,n=0,s=t;0<=s?n<s:n>s;0<=s?++n:--n)push(p4),integral();if(p3=pop(),p5===symbol(NIL))break;if(isNumericAtom(p5)){if(p1=cdr(p1),push(car(p1)),Eval(),p5=pop(),p5===symbol(NIL))break;isNumericAtom(p5)||(p4=p5,p1=cdr(p1),push(car(p1)),Eval(),p5=pop())}else p4=p5,p1=cdr(p1),push(car(p1)),Eval(),p5=pop()}return push(p3)},derivative=function(){return save(),p2=pop(),p1=pop(),isNumericAtom(p2)&&stop("undefined function"),istensor(p1)?istensor(p2)?d_tensor_tensor():d_tensor_scalar():istensor(p2)?d_scalar_tensor():d_scalar_scalar(),restore()},d_scalar_scalar=function(){return issymbol(p2)?d_scalar_scalar_1():(push(p1),push(p2),push(symbol(SECRETX)),subst(),push(symbol(SECRETX)),derivative(),push(symbol(SECRETX)),push(p2),subst())},d_scalar_scalar_1=function(){if(equal(p1,p2)){push(one);return}if(!iscons(p1)){push(zero);return}if(isadd(p1)){dsum();return}if(car(p1)===symbol(MULTIPLY)){dproduct();return}if(car(p1)===symbol(POWER)){dpower();return}if(car(p1)===symbol(DERIVATIVE)){dd();return}if(car(p1)===symbol(LOG)){dlog();return}if(car(p1)===symbol(SIN)){dsin();return}if(car(p1)===symbol(COS)){dcos();return}if(car(p1)===symbol(TAN)){dtan();return}if(car(p1)===symbol(ARCSIN)){darcsin();return}if(car(p1)===symbol(ARCCOS)){darccos();return}if(car(p1)===symbol(ARCTAN)){darctan();return}if(car(p1)===symbol(SINH)){dsinh();return}if(car(p1)===symbol(COSH)){dcosh();return}if(car(p1)===symbol(TANH)){dtanh();return}if(car(p1)===symbol(ARCSINH)){darcsinh();return}if(car(p1)===symbol(ARCCOSH)){darccosh();return}if(car(p1)===symbol(ARCTANH)){darctanh();return}if(car(p1)===symbol(ABS)){dabs();return}if(car(p1)===symbol(SGN)){dsgn();return}if(car(p1)===symbol(HERMITE)){dhermite();return}if(car(p1)===symbol(ERF)){derf();return}if(car(p1)===symbol(ERFC)){derfc();return}if(car(p1)===symbol(BESSELJ)){isZeroAtomOrTensor(caddr(p1))?dbesselj0():dbesseljn();return}if(car(p1)===symbol(BESSELY)){isZeroAtomOrTensor(caddr(p1))?dbessely0():dbesselyn();return}if(car(p1)===symbol(INTEGRAL)&&caddr(p1)===p2){derivative_of_integral();return}return dfunction()},dsum=function(){var n;for(n=tos,p1=cdr(p1);iscons(p1);)push(car(p1)),push(p2),derivative(),p1=cdr(p1);return add_all(tos-n)},dproduct=function(){var n,t,r,a,s,l,u;for(n=0,r=0,a=0,a=length(p1)-1,n=s=0,l=a;0<=l?s<l:s>l;n=0<=l?++s:--s){for(p3=cdr(p1),r=t=0,u=a;0<=u?t<u:t>u;r=0<=u?++t:--t)push(car(p3)),n===r&&(push(p2),derivative()),p3=cdr(p3);multiply_all(a)}return add_all(a)},dpower=function(){return push(caddr(p1)),push(cadr(p1)),divide(),push(cadr(p1)),push(p2),derivative(),multiply(),push(cadr(p1)),logarithm(),push(caddr(p1)),push(p2),derivative(),multiply(),add(),push(p1),multiply()},dlog=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),divide()},dd=function(){return push(cadr(p1)),push(p2),derivative(),p3=pop(),car(p3)===symbol(DERIVATIVE)?(push_symbol(DERIVATIVE),push_symbol(DERIVATIVE),push(cadr(p3)),lessp(caddr(p3),caddr(p1))?(push(caddr(p3)),list(3),push(caddr(p1))):(push(caddr(p1)),list(3),push(caddr(p3))),list(3)):(push(p3),push(caddr(p1)),derivative())},dfunction=function(){return p3=cdr(p1),p3===symbol(NIL)||Find(p3,p2)?(push_symbol(DERIVATIVE),push(p1),push(p2),list(3)):push(zero)},dsin=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),cosine(),multiply()},dcos=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),sine(),multiply(),negate()},dtan=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),cosine(),push_integer(-2),power(),multiply()},darcsin=function(){return push(cadr(p1)),push(p2),derivative(),push_integer(1),push(cadr(p1)),push_integer(2),power(),subtract(),push_rational(-1,2),power(),multiply()},darccos=function(){return push(cadr(p1)),push(p2),derivative(),push_integer(1),push(cadr(p1)),push_integer(2),power(),subtract(),push_rational(-1,2),power(),multiply(),negate()},darctan=function(){return push(cadr(p1)),push(p2),derivative(),push_integer(1),push(cadr(p1)),push_integer(2),power(),add(),inverse(),multiply(),simplify()},dsinh=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),ycosh(),multiply()},dcosh=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),ysinh(),multiply()},dtanh=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),ycosh(),push_integer(-2),power(),multiply()},darcsinh=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),push_integer(2),power(),push_integer(1),add(),push_rational(-1,2),power(),multiply()},darccosh=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),push_integer(2),power(),push_integer(-1),add(),push_rational(-1,2),power(),multiply()},darctanh=function(){return push(cadr(p1)),push(p2),derivative(),push_integer(1),push(cadr(p1)),push_integer(2),power(),subtract(),inverse(),multiply()},dabs=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),sgn(),multiply()},dsgn=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),dirac(),multiply(),push_integer(2),multiply()},dhermite=function(){return push(cadr(p1)),push(p2),derivative(),push_integer(2),push(caddr(p1)),multiply(),multiply(),push(cadr(p1)),push(caddr(p1)),push_integer(-1),add(),hermite(),multiply()},derf=function(){return push(cadr(p1)),push_integer(2),power(),push_integer(-1),multiply(),exponential(),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),push_rational(-1,2),power(),multiply(),push_integer(2),multiply(),push(cadr(p1)),push(p2),derivative(),multiply()},derfc=function(){return push(cadr(p1)),push_integer(2),power(),push_integer(-1),multiply(),exponential(),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),push_rational(-1,2),power(),multiply(),push_integer(-2),multiply(),push(cadr(p1)),push(p2),derivative(),multiply()},dbesselj0=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),push_integer(1),besselj(),multiply(),push_integer(-1),multiply()},dbesseljn=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),push(caddr(p1)),push_integer(-1),add(),besselj(),push(caddr(p1)),push_integer(-1),multiply(),push(cadr(p1)),divide(),push(cadr(p1)),push(caddr(p1)),besselj(),multiply(),add(),multiply()},dbessely0=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),push_integer(1),besselj(),multiply(),push_integer(-1),multiply()},dbesselyn=function(){return push(cadr(p1)),push(p2),derivative(),push(cadr(p1)),push(caddr(p1)),push_integer(-1),add(),bessely(),push(caddr(p1)),push_integer(-1),multiply(),push(cadr(p1)),divide(),push(cadr(p1)),push(caddr(p1)),bessely(),multiply(),add(),multiply()},derivative_of_integral=function(){return push(cadr(p1))},DET_check_arg=function(){return istensor(p1)?p1.tensor.ndim!==2||p1.tensor.dim[0]!==p1.tensor.dim[1]?0:1:0},det=function(){var n,t,r,a,s,l,u;if(t=0,a=0,save(),p1=pop(),DET_check_arg()===0){push_symbol(DET),push(p1),list(2),restore();return}for(a=p1.tensor.nelem,n=p1.tensor.elem,t=s=0,l=a;(0<=l?s<l:s>l)&&isNumericAtom(n[t]);t=0<=l?++s:--s);if(t===a)yydetg();else{for(t=r=0,u=p1.tensor.nelem;0<=u?r<u:r>u;t=0<=u?++r:--r)push(p1.tensor.elem[t]);determinant(p1.tensor.dim[0])}return restore()},determinant=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce;for(a=0,s=0,u=0,_=0,g=0,w=0,Z=0,Ce=0,t=[],a=tos-n*n,s=m=0,f=n;0<=f?m<f:m>f;s=0<=f?++m:--m)t[s]=s,t[s+n]=0,t[s+n+n]=1;for(Z=1,push(zero);;){for(push_integer(Z===1?1:-1),s=l=0,x=n;0<=x?l<x:l>x;s=0<=x?++l:--l)_=n*t[s]+s,push(stack[a+_]),multiply();for(add(),u=n-1,w=0,r=!1;;){if(g=t[n+u]+t[n+n+u],g<0){t[n+n+u]=-t[n+n+u],u--;continue}if(g===u+1){if(u===0){r=!0;break}w++,t[n+n+u]=-t[n+n+u],u--;continue}break}if(r)break;Ce=t[u-t[n+u]+w],t[u-t[n+u]+w]=t[u-g+w],t[u-g+w]=Ce,t[n+u]=g,Z=-Z}return stack[a]=stack[tos-1],moveTos(a+1)},yydetg=function(){var n,t,r,a;for(n=0,t=0,t=p1.tensor.dim[0],n=r=0,a=t*t;0<=a?r<a:r>a;n=0<=a?++r:--r)push(p1.tensor.elem[n]);return lu_decomp(t),moveTos(tos-t*t),push(p1)},M=function(n,t,r,a){return stack[n+t*r+a]},setM=function(n,t,r,a,s){return stack[n+t*r+a]=s},lu_decomp=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt;for(t=0,r=0,a=0,l=0,r=tos-n*n,p1=one,t=g=0,f=n-1;0<=f?g<f:g>f;t=0<=f?++g:--g){if(equal(M(r,n,t,t),zero)){for(a=s=x=t+1,w=n;(x<=w?s<w:s>w)&&equal(M(r,n,a,t),zero);a=x<=w?++s:--s);if(a===n){p1=zero;break}for(l=u=Z=t,Ce=n;Z<=Ce?u<Ce:u>Ce;l=Z<=Ce?++u:--u)p2=M(r,n,t,l),setM(r,n,t,l,M(r,n,a,l)),setM(r,n,a,l,p2);push(p1),negate(),p1=pop()}for(push(p1),push(M(r,n,t,t)),multiply(),p1=pop(),a=_=ne=t+1,$e=n;ne<=$e?_<$e:_>$e;a=ne<=$e?++_:--_)for(push(M(r,n,a,t)),push(M(r,n,t,t)),divide(),negate(),p2=pop(),setM(r,n,a,t,zero),l=m=Ie=t+1,Dt=n;Ie<=Dt?m<Dt:m>Dt;l=Ie<=Dt?++m:--m)push(M(r,n,t,l)),push(p2),multiply(),push(M(r,n,a,l)),add(),setM(r,n,a,l,pop())}return push(p1),push(M(r,n,n-1,n-1)),multiply(),p1=pop()},Eval_dirac=function(){return push(cadr(p1)),Eval(),dirac()},dirac=function(){return save(),ydirac(),restore()},ydirac=function(){if(p1=pop(),isdouble(p1))if(p1.d===0){push_integer(1);return}else{push_integer(0);return}if(isrational(p1))if(MZERO(mmul(p1.q.a,p1.q.b))){push_integer(1);return}else{push_integer(0);return}if(car(p1)===symbol(POWER)){push_symbol(DIRAC),push(cadr(p1)),list(2);return}if(isnegativeterm(p1)){push_symbol(DIRAC),push(p1),negate(),list(2);return}return(isnegativeterm(p1)||car(p1)===symbol(ADD)&&isnegativeterm(cadr(p1)))&&(push(p1),negate(),p1=pop()),push_symbol(DIRAC),push(p1),list(2)},divisors=function(){var n,t,r,a,s,l;for(t=0,n=0,r=0,save(),n=tos-1,divisors_onstack(),r=tos-n,l=stack.slice(n,n+r),l.sort(cmp_expr),stack=stack.slice(0,n).concat(l).concat(stack.slice(n+r)),p1=alloc_tensor(r),p1.tensor.ndim=1,p1.tensor.dim[0]=r,t=a=0,s=r;0<=s?a<s:a>s;t=0<=s?++a:--a)p1.tensor.elem[t]=stack[n+t];return moveTos(n),push(p1),restore()},divisors_onstack=function(){var n,t,r,a,s,l;if(n=0,t=0,r=0,a=0,save(),p1=pop(),n=tos,isNumericAtom(p1))push(p1),factor_small_number();else if(car(p1)===symbol(ADD))push(p1),__factor_add();else if(car(p1)===symbol(MULTIPLY))for(p1=cdr(p1),isNumericAtom(car(p1))&&(push(car(p1)),factor_small_number(),p1=cdr(p1));iscons(p1);)p2=car(p1),car(p2)===symbol(POWER)?(push(cadr(p2)),push(caddr(p2))):(push(p2),push(one)),p1=cdr(p1);else car(p1)===symbol(POWER)?(push(cadr(p1)),push(caddr(p1))):(push(p1),push(one));for(r=tos,push(one),gen(n,r),a=tos-r,t=s=0,l=a;0<=l?s<l:s>l;t=0<=l?++s:--s)stack[n+t]=stack[r+t];return moveTos(n+a),restore()},gen=function(n,t){var r,a,s,l;if(r=0,a=0,save(),p1=pop(),n===t){push(p1),restore();return}if(p2=stack[n+0],p3=stack[n+1],push(p3),r=pop_integer(),!isNaN(r))for(a=s=0,l=Math.abs(r);0<=l?s<=l:s>=l;a=0<=l?++s:--s)push(p1),push(p2),push_integer(sign(r)*a),power(),multiply(),gen(n+2,t);return restore()},__factor_add=function(){for(save(),p1=pop(),p3=cdr(p1),push(car(p3)),p3=cdr(p3);iscons(p3);)push(car(p3)),gcd(),p3=cdr(p3);if(p2=pop(),isplusone(p2)){push(p1),push(one),restore();return}if(isNumericAtom(p2))push(p2),factor_small_number();else if(car(p2)===symbol(MULTIPLY))for(p3=cdr(p2),isNumericAtom(car(p3))?(push(car(p3)),factor_small_number()):(push(car(p3)),push(one)),p3=cdr(p3);iscons(p3);)push(car(p3)),push(one),p3=cdr(p3);else push(p2),push(one);for(push(p2),inverse(),p2=pop(),push(zero),p3=cdr(p1);iscons(p3);)push(p2),push(car(p3)),multiply(),add(),p3=cdr(p3);return push(one),restore()},dpow=function(){var n,t,r,a,s,l;if(n=0,t=0,r=0,a=0,s=0,l=0,a=pop_double(),r=pop_double(),r===0&&a<0&&stop("divide by zero"),r>=0||a%1===0){s=Math.pow(r,a),push_double(s);return}return s=Math.pow(Math.abs(r),a),l=Math.PI*a,a%.5===0?(n=0,t=Math.sin(l)):(n=Math.cos(l),t=Math.sin(l)),push_double(n*s),push_double(t*s),push(imaginaryunit),multiply(),add()},EIG_N=0,EIG_yydd=[],EIG_yyqq=[],Eval_eigen=function(){return EIG_check_arg()===0&&stop("eigen: argument is not a square matrix"),eigen(EIGEN),p1=usr_symbol("D"),set_binding(p1,p2),p1=usr_symbol("Q"),set_binding(p1,p3),push(symbol(NIL))},Eval_eigenval=function(){if(EIG_check_arg()===0){push_symbol(EIGENVAL),push(p1),list(2);return}return eigen(EIGENVAL),push(p2)},Eval_eigenvec=function(){if(EIG_check_arg()===0){push_symbol(EIGENVEC),push(p1),list(2);return}return eigen(EIGENVEC),push(p3)},EIG_check_arg=function(){var n,t,r,a,s,l,u,_,m,g,f;if(n=0,r=0,push(cadr(p1)),Eval(),yyfloat(),Eval(),p1=pop(),!istensor(p1))return 0;for((p1.tensor.ndim!==2||p1.tensor.dim[0]!==p1.tensor.dim[1])&&stop("eigen: argument is not a square matrix"),EIG_N=p1.tensor.dim[0],n=l=0,u=EIG_N;0<=u?l<u:l>u;n=0<=u?++l:--l)for(r=t=0,_=EIG_N;0<=_?t<_:t>_;r=0<=_?++t:--t)isdouble(p1.tensor.elem[EIG_N*n+r])||stop("eigen: matrix is not numerical");for(n=a=0,m=EIG_N-1;0<=m?a<m:a>m;n=0<=m?++a:--a)for(r=s=g=n+1,f=EIG_N;g<=f?s<f:s>f;r=g<=f?++s:--s)Math.abs(p1.tensor.elem[EIG_N*n+r].d-p1.tensor.elem[EIG_N*r+n].d)>1e-10&&stop("eigen: matrix is not symmetrical");return 1},eigen=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac;for(t=0,a=0,t=m=0,w=EIG_N*EIG_N;0<=w?m<w:m>w;t=0<=w?++m:--m)EIG_yydd[t]=0;for(t=r=0,Z=EIG_N*EIG_N;0<=Z?r<Z:r>Z;t=0<=Z?++r:--r)EIG_yyqq[t]=0;for(t=s=0,ne=EIG_N;0<=ne?s<ne:s>ne;t=0<=ne?++s:--s)for(EIG_yydd[EIG_N*t+t]=p1.tensor.elem[EIG_N*t+t].d,a=l=$e=t+1,Ie=EIG_N;$e<=Ie?l<Ie:l>Ie;a=$e<=Ie?++l:--l)EIG_yydd[EIG_N*t+a]=p1.tensor.elem[EIG_N*t+a].d,EIG_yydd[EIG_N*a+t]=p1.tensor.elem[EIG_N*t+a].d;for(t=u=0,Dt=EIG_N;0<=Dt?u<Dt:u>Dt;t=0<=Dt?++u:--u)for(EIG_yyqq[EIG_N*t+t]=1,a=_=Lr=t+1,ec=EIG_N;Lr<=ec?_<ec:_>ec;a=Lr<=ec?++_:--_)EIG_yyqq[EIG_N*t+a]=0,EIG_yyqq[EIG_N*a+t]=0;for(t=g=0;g<100&&step()!==0;t=++g);if(t===100&&printstr(`
note: eigen did not converge
`),n===EIGEN||n===EIGENVAL)for(push(p1),copy_tensor(),p2=pop(),t=f=0,ys=EIG_N;0<=ys?f<ys:f>ys;t=0<=ys?++f:--f)for(a=x=0,tc=EIG_N;0<=tc?x<tc:x>tc;a=0<=tc?++x:--x)push_double(EIG_yydd[EIG_N*t+a]),p2.tensor.elem[EIG_N*t+a]=pop();if(n===EIGEN||n===EIGENVEC){for(push(p1),copy_tensor(),p3=pop(),nc=[],t=ac=0,Ce=EIG_N;0<=Ce?ac<Ce:ac>Ce;t=0<=Ce?++ac:--ac)nc.push(function(){var sc,cc,uc;for(cc=[],a=uc=0,sc=EIG_N;0<=sc?uc<sc:uc>sc;a=0<=sc?++uc:--uc)push_double(EIG_yyqq[EIG_N*t+a]),cc.push(p3.tensor.elem[EIG_N*t+a]=pop());return cc}());return nc}},step=function(){var n,t,r,a,s,l,u,_;for(t=0,a=0,n=0,t=s=0,l=EIG_N-1;0<=l?s<l:s>l;t=0<=l?++s:--s)for(a=r=u=t+1,_=EIG_N;u<=_?r<_:r>_;a=u<=_?++r:--r)EIG_yydd[EIG_N*t+a]!==0&&(step2(t,a),n++);return n},step2=function(n,t){var r,a,s,l,u,_,m,g,f,x,w,Z,Ce;for(u=0,Z=0,Ce=0,r=0,a=0,x=0,w=0,Ce=.5*(EIG_yydd[EIG_N*n+n]-EIG_yydd[EIG_N*t+t])/EIG_yydd[EIG_N*n+t],Z=1/(Math.abs(Ce)+Math.sqrt(Ce*Ce+1)),Ce<0&&(Z=-Z),r=1/Math.sqrt(Z*Z+1),x=Z*r,u=_=0,m=EIG_N;0<=m?_<m:_>m;u=0<=m?++_:--_)a=EIG_yydd[EIG_N*n+u],w=EIG_yydd[EIG_N*t+u],EIG_yydd[EIG_N*n+u]=r*a+x*w,EIG_yydd[EIG_N*t+u]=r*w-x*a;for(u=s=0,g=EIG_N;0<=g?s<g:s>g;u=0<=g?++s:--s)a=EIG_yydd[EIG_N*u+n],w=EIG_yydd[EIG_N*u+t],EIG_yydd[EIG_N*u+n]=r*a+x*w,EIG_yydd[EIG_N*u+t]=r*w-x*a;for(u=l=0,f=EIG_N;0<=f?l<f:l>f;u=0<=f?++l:--l)a=EIG_yyqq[EIG_N*n+u],w=EIG_yyqq[EIG_N*t+u],EIG_yyqq[EIG_N*n+u]=r*a+x*w,EIG_yyqq[EIG_N*t+u]=r*w-x*a;return EIG_yydd[EIG_N*n+t]=0,EIG_yydd[EIG_N*t+n]=0},Eval_erf=function(){return push(cadr(p1)),Eval(),yerf()},yerf=function(){return save(),yyerf(),restore()},yyerf=function(){var n;if(n=0,p1=pop(),isdouble(p1)){n=1-erfc(p1.d),push_double(n);return}if(isZeroAtomOrTensor(p1)){push(zero);return}if(isnegativeterm(p1)){push_symbol(ERF),push(p1),negate(),list(2),negate();return}push_symbol(ERF),push(p1),list(2)},Eval_erfc=function(){return push(cadr(p1)),Eval(),yerfc()},yerfc=function(){return save(),yyerfc(),restore()},yyerfc=function(){var n;if(n=0,p1=pop(),isdouble(p1)){n=erfc(p1.d),push_double(n);return}if(isZeroAtomOrTensor(p1)){push(one);return}push_symbol(ERFC),push(p1),list(2)},erfc=function(n){var t,r,a;return n===0?1:(r=0,a=0,t=0,a=Math.abs(n),r=1/(1+.5*a),t=r*Math.exp(-a*a-1.26551223+r*(1.00002368+r*(.37409196+r*(.09678418+r*(-.18628806+r*(.27886807+r*(-1.13520398+r*(1.48851587+r*(-.82215223+r*.17087277))))))))),n>=0?t:2-t)},Eval=function(){var n;if(check_esc_flag(),save(),p1=pop(),p1==null)debugger;switch(!evaluatingAsFloats&&isfloating(p1)&&(n=!0,evaluatingAsFloats++),p1.k){case CONS:Eval_cons();break;case NUM:evaluatingAsFloats?push_double(convert_rational_to_double(p1)):push(p1);break;case DOUBLE:case STR:push(p1);break;case TENSOR:Eval_tensor();break;case SYM:Eval_sym();break;default:stop("atom?")}return n&&evaluatingAsFloats--,restore()},Eval_sym=function(){var n,t,r,a,s,l;if(iskeyword(p1)){push(p1),push(symbol(LAST)),list(2),Eval();return}else if(p1===symbol(PI)&&evaluatingAsFloats){push_double(Math.PI);return}if(p2=get_binding(p1),DEBUG&&console.log("looked up: "+p1+" which contains: "+p2),push(p2),p1!==p2){if(a=chainOfUserSymbolsNotFunctionsBeingEvaluated.indexOf(p1),a!==-1){for(n="",t=r=s=a,l=chainOfUserSymbolsNotFunctionsBeingEvaluated.length;s<=l?r<l:r>l;t=s<=l?++r:--r)n+=chainOfUserSymbolsNotFunctionsBeingEvaluated[t].printname+" -> ";n+=p1.printname,stop("recursive evaluation of symbols: "+n);return}return chainOfUserSymbolsNotFunctionsBeingEvaluated.push(p1),Eval(),chainOfUserSymbolsNotFunctionsBeingEvaluated.pop()}},Eval_cons=function(){var n;if(n=car(p1),car(n)===symbol(EVAL)){Eval_user_function();return}switch(issymbol(n)||stop("cons?"),symnum(n)){case ABS:return Eval_abs();case ADD:return Eval_add();case ADJ:return Eval_adj();case AND:return Eval_and();case ARCCOS:return Eval_arccos();case ARCCOSH:return Eval_arccosh();case ARCSIN:return Eval_arcsin();case ARCSINH:return Eval_arcsinh();case ARCTAN:return Eval_arctan();case ARCTANH:return Eval_arctanh();case ARG:return Eval_arg();case ATOMIZE:return Eval_atomize();case BESSELJ:return Eval_besselj();case BESSELY:return Eval_bessely();case BINDING:return Eval_binding();case BINOMIAL:return Eval_binomial();case CEILING:return Eval_ceiling();case CHECK:return Eval_check();case CHOOSE:return Eval_choose();case CIRCEXP:return Eval_circexp();case CLEAR:return Eval_clear();case CLEARALL:return Eval_clearall();case CLEARPATTERNS:return Eval_clearpatterns();case CLOCK:return Eval_clock();case COEFF:return Eval_coeff();case COFACTOR:return Eval_cofactor();case CONDENSE:return Eval_condense();case CONJ:return Eval_conj();case CONTRACT:return Eval_contract();case COS:return Eval_cos();case COSH:return Eval_cosh();case DECOMP:return Eval_decomp();case DEGREE:return Eval_degree();case DEFINT:return Eval_defint();case DENOMINATOR:return Eval_denominator();case DERIVATIVE:return Eval_derivative();case DET:return Eval_det();case DIM:return Eval_dim();case DIRAC:return Eval_dirac();case DIVISORS:return Eval_divisors();case DO:return Eval_do();case DOT:return Eval_inner();case DRAW:return Eval_draw();case DSOLVE:return Eval_dsolve();case EIGEN:return Eval_eigen();case EIGENVAL:return Eval_eigenval();case EIGENVEC:return Eval_eigenvec();case ERF:return Eval_erf();case ERFC:return Eval_erfc();case EVAL:return Eval_Eval();case EXP:return Eval_exp();case EXPAND:return Eval_expand();case EXPCOS:return Eval_expcos();case EXPSIN:return Eval_expsin();case FACTOR:return Eval_factor();case FACTORIAL:return Eval_factorial();case FACTORPOLY:return Eval_factorpoly();case FILTER:return Eval_filter();case FLOATF:return Eval_float();case APPROXRATIO:return Eval_approxratio();case FLOOR:return Eval_floor();case FOR:return Eval_for();case FUNCTION:return Eval_function_reference();case GAMMA:return Eval_gamma();case GCD:return Eval_gcd();case HERMITE:return Eval_hermite();case HILBERT:return Eval_hilbert();case IMAG:return Eval_imag();case INDEX:return Eval_index();case INNER:return Eval_inner();case INTEGRAL:return Eval_integral();case INV:return Eval_inv();case INVG:return Eval_invg();case ISINTEGER:return Eval_isinteger();case ISPRIME:return Eval_isprime();case LAGUERRE:return Eval_laguerre();case LCM:return Eval_lcm();case LEADING:return Eval_leading();case LEGENDRE:return Eval_legendre();case LOG:return Eval_log();case LOOKUP:return Eval_lookup();case MOD:return Eval_mod();case MULTIPLY:return Eval_multiply();case NOT:return Eval_not();case NROOTS:return Eval_nroots();case NUMBER:return Eval_number();case NUMERATOR:return Eval_numerator();case OPERATOR:return Eval_operator();case OR:return Eval_or();case OUTER:return Eval_outer();case PATTERN:return Eval_pattern();case PATTERNSINFO:return Eval_patternsinfo();case POLAR:return Eval_polar();case POWER:return Eval_power();case PRIME:return Eval_prime();case PRINT:return Eval_print();case PRINT2DASCII:return Eval_print2dascii();case PRINTFULL:return Eval_printcomputer();case PRINTLATEX:return Eval_printlatex();case PRINTLIST:return Eval_printlist();case PRINTPLAIN:return Eval_printhuman();case PRODUCT:return Eval_product();case QUOTE:return Eval_quote();case QUOTIENT:return Eval_quotient();case RANK:return Eval_rank();case RATIONALIZE:return Eval_rationalize();case REAL:return Eval_real();case ROUND:return Eval_round();case YYRECT:return Eval_rect();case ROOTS:return Eval_roots();case SETQ:return Eval_setq();case SGN:return Eval_sgn();case SILENTPATTERN:return Eval_silentpattern();case SIMPLIFY:return Eval_simplify();case SIN:return Eval_sin();case SINH:return Eval_sinh();case SHAPE:return Eval_shape();case SQRT:return Eval_sqrt();case STOP:return Eval_stop();case SUBST:return Eval_subst();case SUM:return Eval_sum();case SYMBOLSINFO:return Eval_symbolsinfo();case TAN:return Eval_tan();case TANH:return Eval_tanh();case TAYLOR:return Eval_taylor();case TEST:return Eval_test();case TESTEQ:return Eval_testeq();case TESTGE:return Eval_testge();case TESTGT:return Eval_testgt();case TESTLE:return Eval_testle();case TESTLT:return Eval_testlt();case TRANSPOSE:return Eval_transpose();case UNIT:return Eval_unit();case ZERO:return Eval_zero();default:return Eval_user_function()}},Eval_binding=function(){return push(get_binding(cadr(p1)))},Eval_check=function(){var n;return n=isZeroLikeOrNonZeroLikeOrUndetermined(cadr(p1)),n==null?push(p1):push_integer(n)},Eval_det=function(){return push(cadr(p1)),Eval(),det()},Eval_dim=function(){var n;return push(cadr(p1)),Eval(),p2=pop(),iscons(cddr(p1))?(push(caddr(p1)),Eval(),n=pop_integer()):n=1,istensor(p2)?n<1||n>p2.tensor.ndim?push(p1):push_integer(p2.tensor.dim[n-1]):push_integer(1)},Eval_divisors=function(){return push(cadr(p1)),Eval(),divisors()},Eval_do=function(){var n;for(push(car(p1)),p1=cdr(p1),n=[];iscons(p1);)pop(),push(car(p1)),Eval(),n.push(p1=cdr(p1));return n},Eval_dsolve=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),push(cadddr(p1)),Eval(),dsolve()},Eval_Eval=function(){for(push(cadr(p1)),Eval(),p1=cddr(p1);iscons(p1);)push(car(p1)),Eval(),push(cadr(p1)),Eval(),subst(),p1=cddr(p1);return Eval()},Eval_exp=function(){return push(cadr(p1)),Eval(),exponential()},Eval_factorial=function(){return push(cadr(p1)),Eval(),factorial()},Eval_factorpoly=function(){var n;for(p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),push(car(p1)),Eval(),factorpoly(),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),factorpoly(),n.push(p1=cdr(p1));return n},Eval_hermite=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),hermite()},Eval_hilbert=function(){return push(cadr(p1)),Eval(),hilbert()},Eval_index=function(){var n,t,r;if(n=tos,t=p1,p1=cdr(p1),push(car(p1)),Eval(),r=stack[tos-1],isNumericAtom(r)&&stop("trying to access a scalar as a tensor"),!istensor(r)){moveTos(n),push(t);return}for(p1=cdr(p1);iscons(p1);){if(push(car(p1)),Eval(),!isintegerorintegerfloat(stack[tos-1])){moveTos(n),push(t);return}p1=cdr(p1)}return index_function(tos-n)},Eval_inv=function(){return push(cadr(p1)),Eval(),inv()},Eval_invg=function(){return push(cadr(p1)),Eval(),invg()},Eval_isinteger=function(){var n;if(push(cadr(p1)),Eval(),p1=pop(),isrational(p1)){isinteger(p1)?push(one):push(zero);return}if(isdouble(p1)){n=Math.floor(p1.d),n===p1.d?push(one):push(zero);return}return push_symbol(ISINTEGER),push(p1),list(2)},Eval_number=function(){return push(cadr(p1)),Eval(),p1=pop(),p1.k===NUM||p1.k===DOUBLE?push_integer(1):push_integer(0)},Eval_operator=function(){var n;for(n=tos,push_symbol(OPERATOR),p1=cdr(p1);iscons(p1);)push(car(p1)),Eval(),p1=cdr(p1);return list(tos-n)},Eval_quote=function(){return push(cadr(p1))},Eval_rank=function(){return push(cadr(p1)),Eval(),p1=pop(),istensor(p1)?push_integer(p1.tensor.ndim):push(zero)},Eval_setq=function(){if(caadr(p1)===symbol(INDEX)){setq_indexed();return}if(iscons(cadr(p1))){define_user_function();return}return issymbol(cadr(p1))||stop("symbol assignment: error in symbol"),push(caddr(p1)),Eval(),p2=pop(),set_binding(cadr(p1),p2),push(symbol(NIL))},setq_indexed=function(){var n;for(p4=cadadr(p1),issymbol(p4)||stop("indexed assignment: expected a symbol name"),n=tos,push(caddr(p1)),Eval(),p2=cdadr(p1);iscons(p2);)push(car(p2)),Eval(),p2=cdr(p2);return set_component(tos-n),p3=pop(),set_binding(p4,p3),push(symbol(NIL))},Eval_sqrt=function(){return push(cadr(p1)),Eval(),push_rational(1,2),power()},Eval_stop=function(){return stop("user stop")},Eval_subst=function(){return push(cadddr(p1)),Eval(),push(caddr(p1)),Eval(),push(cadr(p1)),Eval(),subst(),Eval()},Eval_unit=function(){var n,t,r,a;if(n=0,t=0,push(cadr(p1)),Eval(),t=pop_integer(),isNaN(t)){push(p1);return}if(t<1){push(p1);return}for(p1=alloc_tensor(t*t),p1.tensor.ndim=2,p1.tensor.dim[0]=t,p1.tensor.dim[1]=t,n=r=0,a=t;0<=a?r<a:r>a;n=0<=a?++r:--r)p1.tensor.elem[t*n+n]=one;return check_tensor_dimensions(p1),push(p1)},Eval_predicate=function(){return save(),p1=top(),car(p1)===symbol(SETQ)&&(pop(),push_symbol(TESTEQ),push(cadr(p1)),push(caddr(p1)),list(3)),Eval(),restore()},Eval_expand=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),p2=pop(),p2===symbol(NIL)?guess():push(p2),expand()},expand=function(){var n;if(save(),p9=pop(),p5=pop(),istensor(p5)){expand_tensor(),restore();return}if(car(p5)===symbol(ADD)){for(push_integer(0),p1=cdr(p5);iscons(p1);)push(car(p1)),push(p9),expand(),add(),p1=cdr(p1);restore();return}if(push(p5),numerator(),p3=pop(),push(p5),denominator(),p2=pop(),remove_negative_exponents(),push(p3),push(p2),push(p9),(isone(p3)||isone(p2))&&(!ispolyexpandedform(p2,p9)||isone(p2))){pop(),pop(),pop(),push(p5),restore();return}if(divpoly(),p7=pop(),push(p3),push(p2),push(p7),multiply(),subtract(),p3=pop(),isZeroAtomOrTensor(p3)){push(p7),restore();return}return push(p2),push(p9),factorpoly(),p2=pop(),expand_get_C(),expand_get_B(),expand_get_A(),istensor(p4)?(push(p4),n=expanding,expanding=1,inv(),expanding=n,push(p3),inner(),push(p2),inner()):(push(p3),push(p4),n=expanding,expanding=1,divide(),expanding=n,push(p2),multiply()),push(p7),add(),restore()},expand_tensor=function(){var n,t,r;for(n=0,push(p5),copy_tensor(),p5=pop(),n=t=0,r=p5.tensor.nelem;0<=r?t<r:t>r;n=0<=r?++t:--t)push(p5.tensor.elem[n]),push(p9),expand(),p5.tensor.elem[n]=pop();return push(p5)},remove_negative_exponents=function(){var n,t,r,a,s,l,u;for(n=0,t=0,r=0,a=0,s=0,n=tos,factors(p2),factors(p3),s=tos-n,r=0,t=l=0,u=s;0<=u?l<u:l>u;t=0<=u?++l:--l)p1=stack[n+t],car(p1)===symbol(POWER)&&cadr(p1)===p9&&(push(caddr(p1)),a=pop_integer(),!isNaN(a)&&a<r&&(r=a));if(moveTos(n),r!==0)return push(p2),push(p9),push_integer(-r),power(),multiply(),p2=pop(),push(p3),push(p9),push_integer(-r),power(),multiply(),p3=pop()},expand_get_C=function(){var n,t,r,a,s,l,u,_,m,g;if(t=0,r=0,s=0,l=0,t=tos,car(p2)===symbol(MULTIPLY))for(p1=cdr(p2);iscons(p1);)p5=car(p1),expand_get_CF(),p1=cdr(p1);else p5=p2,expand_get_CF();if(l=tos-t,l===1){p4=pop();return}for(p4=alloc_tensor(l*l),p4.tensor.ndim=2,p4.tensor.dim[0]=l,p4.tensor.dim[1]=l,n=t,r=u=0,m=l;0<=m?u<m:u>m;r=0<=m?++u:--u)for(s=a=0,g=l;0<=g?a<g:a>g;s=0<=g?++a:--a)push(stack[n+s]),push(p9),push_integer(r),power(),_=expanding,expanding=1,divide(),expanding=_,push(p9),filter(),p4.tensor.elem[l*r+s]=pop();return moveTos(tos-l)},expand_get_CF=function(){var n,t,r,a,s,l,u,_;if(n=0,t=0,r=0,a=0,!!Find(p5,p9)){for(l=expanding,expanding=1,trivial_divide(),expanding=l,car(p5)===symbol(POWER)?(push(caddr(p5)),a=pop_integer(),p6=cadr(p5)):(a=1,p6=p5),push(p6),push(p9),degree(),n=pop_integer(),_=[],t=s=0,u=a;0<=u?s<u:s>u;t=0<=u?++s:--s)_.push(function(){var m,g,f;for(f=[],r=m=0,g=n;0<=g?m<g:m>g;r=0<=g?++m:--m)push(p8),push(p6),push_integer(t),power(),l=expanding,expanding=1,multiply(),expanding=l,push(p9),push_integer(r),power(),l=expanding,expanding=1,multiply(),f.push(expanding=l);return f}());return _}},trivial_divide=function(){var n;if(n=0,car(p2)===symbol(MULTIPLY)){for(n=tos,p0=cdr(p2);iscons(p0);)equal(car(p0),p5)||(push(car(p0)),Eval()),p0=cdr(p0);multiply_all(tos-n)}else push_integer(1);return p8=pop()},expand_get_B=function(){var n,t,r,a,s;if(n=0,t=0,!!istensor(p4)){for(t=p4.tensor.dim[0],p8=alloc_tensor(t),p8.tensor.ndim=1,p8.tensor.dim[0]=t,n=r=0,s=t;0<=s?r<s:r>s;n=0<=s?++r:--r)push(p3),push(p9),push_integer(n),power(),a=expanding,expanding=1,divide(),expanding=a,push(p9),filter(),p8.tensor.elem[n]=pop();return p3=p8}},expand_get_A=function(){var n,t,r,a,s;if(n=0,t=0,r=0,!istensor(p4)){push(p2),reciprocate(),p2=pop();return}if(n=tos,car(p2)===symbol(MULTIPLY))for(p8=cdr(p2);iscons(p8);)p5=car(p8),expand_get_AF(),p8=cdr(p8);else p5=p2,expand_get_AF();for(r=tos-n,p8=alloc_tensor(r),p8.tensor.ndim=1,p8.tensor.dim[0]=r,t=a=0,s=r;0<=s?a<s:a>s;t=0<=s?++a:--a)p8.tensor.elem[t]=stack[n+t];return moveTos(n),p2=p8},expand_get_AF=function(){var n,t,r,a,s,l,u;if(n=0,t=0,r=0,a=1,!!Find(p5,p9)){for(car(p5)===symbol(POWER)&&(push(caddr(p5)),a=pop_integer(),p5=cadr(p5)),push(p5),push(p9),degree(),n=pop_integer(),u=[],t=s=l=a;l<=0?s<0:s>0;t=l<=0?++s:--s)u.push(function(){var _,m,g;for(g=[],r=_=0,m=n;0<=m?_<m:_>m;r=0<=m?++_:--_)push(p5),push_integer(t),power(),reciprocate(),push(p9),push_integer(r),power(),g.push(multiply());return g}());return u}},Eval_expcos=function(){return push(cadr(p1)),Eval(),expcos()},expcos=function(){return save(),p1=pop(),push(imaginaryunit),push(p1),multiply(),exponential(),push_rational(1,2),multiply(),push(imaginaryunit),negate(),push(p1),multiply(),exponential(),push_rational(1,2),multiply(),add(),restore()},Eval_expsin=function(){return push(cadr(p1)),Eval(),expsin()},expsin=function(){return save(),p1=pop(),push(imaginaryunit),push(p1),multiply(),exponential(),push(imaginaryunit),divide(),push_rational(1,2),multiply(),push(imaginaryunit),negate(),push(p1),multiply(),exponential(),push(imaginaryunit),divide(),push_rational(1,2),multiply(),subtract(),restore()},Eval_factor=function(){var n;for(push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),p2=pop(),p2===symbol(NIL)?guess():push(p2),factor(),p1=cdddr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),factor_again(),n.push(p1=cdr(p1));return n},factor_again=function(){var n,t;if(save(),p2=pop(),p1=pop(),n=tos,car(p1)===symbol(MULTIPLY))for(p1=cdr(p1);iscons(p1);)push(car(p1)),push(p2),factor_term(),p1=cdr(p1);else push(p1),push(p2),factor_term();return t=tos-n,t>1&&multiply_all_noexpand(t),restore()},factor_term=function(){if(save(),factorpoly(),p1=pop(),car(p1)===symbol(MULTIPLY))for(p1=cdr(p1);iscons(p1);)push(car(p1)),p1=cdr(p1);else push(p1);return restore()},factor=function(){return save(),p2=pop(),p1=pop(),isinteger(p1)?(push(p1),factor_number()):(push(p1),push(p2),factorpoly()),restore()},factor_small_number=function(){var n,t,r,a,s,l;for(r=0,save(),a=pop_integer(),isNaN(a)&&stop("number too big to factor"),a<0&&(a=-a),r=s=0,l=MAXPRIMETAB;(0<=l?s<l:s>l)&&(n=primetab[r],!(n>a/n));r=0<=l?++s:--s){for(t=0;a%n===0;)a/=n,t++;t&&(push_integer(n),push_integer(t))}return a>1&&(push_integer(a),push_integer(1)),restore()},factorial=function(){var n;if(n=0,save(),p1=pop(),push(p1),n=pop_integer(),n<0||isNaN(n)){push_symbol(FACTORIAL),push(p1),list(2),restore();return}return bignum_factorial(n),restore()},factorpoly=function(){var n,t;return DEBUG&&console.log("factorpoly: "+stack[tos-1].toString()+" "+stack[tos-2].toString()),save(),t=pop(),n=pop(),!Find(n,t)||!ispolyexpandedform(n,t)||!issymbol(t)?push(n):yyfactorpoly(t,n),restore()},yyfactorpoly=function(n,t){var r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc;for(DEBUG&&(m=n,uc=t,console.log("yyfactorpoly: "+m+" "+uc)),save(),x=tos,isfloating(t)&&stop("floating point numbers in polynomial"),Dt=tos,_=coeff(n,t)-1,DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" factpoly_expo before rationalize_coefficients: "+_),Ie=rationalize_coefficients(x),DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" factpoly_expo  after rationalize_coefficients: "+_),lc="real",sc=null;_>0;)if(DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" factpoly_expo inside while loop: "+_),isZeroAtomOrTensor(stack[Dt+0])?(DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" isZeroAtomOrTensor"),r=one,s=zero):lc==="real"?[f,r,s]=get_factor_from_real_root(n,_,Dt):lc==="complex"&&([g,r]=get_factor_from_complex_root(sc,_,Dt)),lc==="real")if(f===0){lc="complex";continue}else{for(push(r),push(n),multiply(),push(s),add(),a=pop(),DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+` success
FACTOR=`+a),push(Ie),push(a),multiply_noexpand(),Ie=pop(),yydivpoly(_,Dt,r,s);_&&isZeroAtomOrTensor(stack[Dt+_]);)_--;for(push(zero),w=$e=0,ys=_;0<=ys?$e<=ys:$e>=ys;w=0<=ys?++$e:--$e)push(stack[Dt+w]),push(n),push_integer(w),power(),multiply(),add();sc=pop()}else if(lc==="complex"){if(g===0)break;if(push(r),push(n),subtract(),push(r),conjugate(),push(n),subtract(),multiply(),cc=pop(),DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+` success
FACTOR=`+cc),push(Ie),ec=pop(),push(Ie),push(cc),multiply_noexpand(),Ie=pop(),sc==null){for(push(zero),w=Z=0,tc=_;0<=tc?Z<=tc:Z>=tc;w=0<=tc?++Z:--Z)push(stack[Dt+w]),push(n),push_integer(w),power(),multiply(),add();sc=pop()}if(u=sc,push(u),push(cc),push(n),divpoly(),sc=pop(),push(sc),push(cc),multiply(),l=pop(),!equal(l,u)){DEBUG&&console.log("we found a polynomial based on complex root and its conj but it doesn't divide the poly, quitting"),DEBUG&&console.log("so just returning previousFactorisation times dividend: "+ec+" * "+u),push(ec),push(u),Lr=expanding,expanding=0,yycondense(),expanding=Lr,multiply_noexpand(),Ie=pop(),stack[x]=Ie,moveTos(x+1),restore();return}for(w=Ce=0,nc=_;0<=nc?Ce<=nc:Ce>=nc;w=0<=nc?++Ce:--Ce)pop();coeff(n,sc),_-=2}for(DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" building the remaining unfactored part of the polynomial"),push(zero),w=ne=0,ac=_;0<=ac?ne<=ac:ne>=ac;w=0<=ac?++ne:--ne)push(stack[Dt+w]),push(n),push_integer(w),power(),multiply(),add();return t=pop(),DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" remaining unfactored part of the polynomial: "+t.toString()),push(t),Lr=expanding,expanding=0,yycondense(),expanding=Lr,t=pop(),DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" new poly with extracted common factor: "+t.toString()),_>0&&isnegativeterm(stack[Dt+_])&&(push(t),negate(),t=pop(),push(Ie),negate_noexpand(),Ie=pop()),push(Ie),push(t),multiply_noexpand(),Ie=pop(),DEBUG&&console.log("yyfactorpoly: "+m+" "+uc+" result: "+Ie),stack[x]=Ie,moveTos(x+1),restore()},rationalize_coefficients=function(n){var t,r,a,s,l,u,_,m,g;for(s=one,t=a=u=n,_=tos;u<=_?a<_:a>_;t=u<=_?++a:--a)push(stack[t]),denominator(),push(s),lcm(),s=pop();for(t=r=m=n,g=tos;m<=g?r<g:r>g;t=m<=g?++r:--r)push(s),push(stack[t]),multiply(),stack[t]=pop();return push(s),reciprocate(),l=pop(),DEBUG&&console.log("rationalize_coefficients result: "+l.toString()),l},get_factor_from_real_root=function(n,t,r){var a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc;if(DEBUG&&console.log("get_factor_from_real_root"),_=0,u=0,a=0,s=0,w=0,Z=0,DEBUG){for(push(zero),_=Ce=0,$e=t;0<=$e?Ce<=$e:Ce>=$e;_=0<=$e?++Ce:--Ce)push(stack[r+_]),push(n),push_integer(_),power(),multiply(),add();ne=pop(),console.log("POLY="+ne)}if(u=tos,s=tos,push(stack[r+t]),divisors_onstack(),Z=tos-s,a=tos,push(stack[r+0]),divisors_onstack(),w=tos-a,DEBUG){for(console.log("divisors of base term"),_=m=0,Ie=w;0<=Ie?m<Ie:m>Ie;_=0<=Ie?++m:--m)console.log(", "+stack[a+_]);for(console.log("divisors of leading term"),_=g=0,Dt=Z;0<=Dt?g<Dt:g>Dt;_=0<=Dt?++g:--g)console.log(", "+stack[s+_])}for(ys=f=0,Lr=Z;0<=Lr?f<Lr:f>Lr;ys=0<=Lr?++f:--f)for(tc=x=0,ec=w;0<=ec?x<ec:x>ec;tc=0<=ec?++x:--x){if(ac=stack[s+ys],nc=stack[a+tc],push(nc),push(ac),divide(),negate(),sc=pop(),l=Evalpoly(t,r,sc),DEBUG&&(console.log("try A="+ac),console.log(", B="+nc),console.log(", root "+n),console.log("=-B/A="+sc),console.log(", POLY("+sc),console.log(")="+l)),isZeroAtomOrTensor(l))return moveTos(u),DEBUG&&console.log("get_factor_from_real_root returning 1"),[1,ac,nc];if(push(nc),negate(),nc=pop(),push(sc),negate(),sc=pop(),l=Evalpoly(t,r,sc),DEBUG&&(console.log("try A="+ac),console.log(", B="+nc),console.log(", root "+n),console.log("=-B/A="+sc),console.log(", POLY("+sc),console.log(")="+l)),isZeroAtomOrTensor(l))return moveTos(u),DEBUG&&console.log("get_factor_from_real_root returning 1"),[1,ac,nc]}return moveTos(u),DEBUG&&console.log("get_factor_from_real_root returning"),[0,null,null]},get_factor_from_complex_root=function(n,t,r){var a,s,l,u,_,m,g;if(s=0,t<=2)return DEBUG&&console.log("no more factoring via complex roots to be found in polynomial of degree <= 2"),[0,null];if(DEBUG&&console.log("complex root finding for POLY="+n),s=tos,push_integer(-1),push_rational(2,3),power(),rect(),g=pop(),DEBUG&&console.log("complex root finding: trying with "+g),push(g),a=Evalpoly(t,r,g),DEBUG&&console.log("complex root finding result: "+a),isZeroAtomOrTensor(a))return moveTos(s),DEBUG&&console.log("get_factor_from_complex_root returning 1"),[1,g];if(push_integer(1),push_rational(2,3),power(),rect(),g=pop(),DEBUG&&console.log("complex root finding: trying with "+g),push(g),a=Evalpoly(t,r,g),DEBUG&&console.log("complex root finding result: "+a),isZeroAtomOrTensor(a))return moveTos(s),DEBUG&&console.log("get_factor_from_complex_root returning 1"),[1,g];for(_=u=-10;u<=10;_=++u)for(m=l=1;l<=5;m=++l)if(push_integer(_),push_integer(m),push(imaginaryunit),multiply(),add(),rect(),g=pop(),DEBUG&&console.log("complex root finding: trying simple complex combination "+g),push(g),a=Evalpoly(t,r,g),isZeroAtomOrTensor(a))return moveTos(s),DEBUG&&console.log("found complex root: "+a),[1,g];return moveTos(s),DEBUG&&console.log("get_factor_from_complex_root returning 0"),[0,null]},yydivpoly=function(n,t,r,a){var s,l,u,_;for(s=zero,l=u=_=n;_<=0?u<0:u>0;l=_<=0?++u:--u)push(stack[t+l]),stack[t+l]=s,push(r),divide(),s=pop(),push(stack[t+l-1]),push(s),push(a),multiply(),subtract(),stack[t+l-1]=pop();if(stack[t+0]=s,DEBUG)return console.log("yydivpoly Q: "+s.toString())},Evalpoly=function(n,t,r){var a,s,l;for(push(zero),a=s=l=n;l<=0?s<=0:s>=0;a=l<=0?++s:--s)push(r),multiply(),push(stack[t+a]),add();return pop()},factors=function(n){var t;if(t=tos,car(n)===symbol(ADD))for(n=cdr(n);iscons(n);)push_term_factors(car(n)),n=cdr(n);else push_term_factors(n);return tos-t},push_term_factors=function(n){var t;if(car(n)===symbol(MULTIPLY)){for(n=cdr(n),t=[];iscons(n);)push(car(n)),t.push(n=cdr(n));return t}else return push(n)},Eval_filter=function(){var n;for(p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),filter(),n.push(p1=cdr(p1));return n},filter=function(){return save(),p2=pop(),p1=pop(),filter_main(),restore()},filter_main=function(){return car(p1)===symbol(ADD)?filter_sum():istensor(p1)?filter_tensor():Find(p1,p2)?push_integer(0):push(p1)},filter_sum=function(){var n;for(push_integer(0),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),push(p2),filter(),add(),n.push(p1=cdr(p1));return n},filter_tensor=function(){var n,t,r,a,s,l;for(n=0,r=0,r=p1.tensor.nelem,p3=alloc_tensor(r),p3.tensor.ndim=p1.tensor.ndim,n=a=0,s=p1.tensor.ndim;0<=s?a<s:a>s;n=0<=s?++a:--a)p3.tensor.dim[n]=p1.tensor.dim[n];for(n=t=0,l=r;0<=l?t<l:t>l;n=0<=l?++t:--t)push(p1.tensor.elem[n]),push(p2),filter(),p3.tensor.elem[n]=pop();return push(p3)},Eval_float=function(){return evaluatingAsFloats++,push(cadr(p1)),Eval(),yyfloat(),Eval(),evaluatingAsFloats--},zzfloat=function(){return save(),evaluatingAsFloats++,Eval(),yyfloat(),Eval(),evaluatingAsFloats--,restore()},yyfloat=function(){var n,t,r,a;if(t=0,n=0,evaluatingAsFloats++,save(),p1=pop(),iscons(p1)){for(n=tos;iscons(p1);)push(car(p1)),yyfloat(),p1=cdr(p1);list(tos-n)}else if(p1.k===TENSOR){for(push(p1),copy_tensor(),p1=pop(),t=r=0,a=p1.tensor.nelem;0<=a?r<a:r>a;t=0<=a?++r:--r)push(p1.tensor.elem[t]),yyfloat(),p1.tensor.elem[t]=pop();push(p1)}else p1.k===NUM?(push(p1),bignum_float()):p1===symbol(PI)?push_double(Math.PI):p1===symbol(E)?push_double(Math.E):push(p1);return restore(),evaluatingAsFloats--},Eval_floor=function(){return push(cadr(p1)),Eval(),yfloor()},yfloor=function(){return save(),yyfloor(),restore()},yyfloor=function(){var n;if(n=0,p1=pop(),!isNumericAtom(p1)){push_symbol(FLOOR),push(p1),list(2);return}if(isdouble(p1)){n=Math.floor(p1.d),push_double(n);return}if(isinteger(p1)){push(p1);return}if(p3=new U,p3.k=NUM,p3.q.a=mdiv(p1.q.a,p1.q.b),p3.q.b=mint(1),push(p3),isnegativenumber(p1))return push_integer(-1),add()},Eval_for=function(){var n,t,r,a,s,l,u;if(n=0,t=0,r=0,a=caddr(p1),issymbol(a)||stop("for: 2nd arg should be the variable to loop over"),push(cadddr(p1)),Eval(),t=pop_integer(),isNaN(t)){push(p1);return}if(push(caddddr(p1)),Eval(),r=pop_integer(),isNaN(r)){push(p1);return}for(p4=get_binding(a),n=s=l=t,u=r;l<=u?s<=u:s>=u;n=l<=u?++s:--s)push_integer(n),p5=pop(),set_binding(a,p5),push(cadr(p1)),Eval(),pop();return set_binding(a,p4),push_symbol(NIL)},Eval_gamma=function(){return push(cadr(p1)),Eval(),gamma()},gamma=function(){return save(),gammaf(),restore()},gammaf=function(){if(p1=pop(),isrational(p1)&&MEQUAL(p1.q.a,1)&&MEQUAL(p1.q.b,2)){evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),push_rational(1,2),power();return}if(isrational(p1)&&MEQUAL(p1.q.a,3)&&MEQUAL(p1.q.b,2)){evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),push_rational(1,2),power(),push_rational(1,2),multiply();return}if(isnegativeterm(p1)){evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),push_integer(-1),multiply(),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),push(p1),multiply(),sine(),push(p1),multiply(),push(p1),negate(),gamma(),multiply(),divide();return}if(car(p1)===symbol(ADD)){gamma_of_sum();return}push_symbol(GAMMA),push(p1),list(2)},gamma_of_sum=function(){if(p3=cdr(p1),isrational(car(p3))&&MEQUAL(car(p3).q.a,1)&&MEQUAL(car(p3).q.b,1))return push(cadr(p3)),push(cadr(p3)),gamma(),multiply();if(isrational(car(p3))&&MEQUAL(car(p3).q.a,-1)&&MEQUAL(car(p3).q.b,1))return push(cadr(p3)),gamma(),push(cadr(p3)),push_integer(-1),add(),divide();push_symbol(GAMMA),push(p1),list(2)},Eval_gcd=function(){var n;for(p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),gcd(),n.push(p1=cdr(p1));return n},gcd=function(){var n;return n=expanding,save(),gcd_main(),restore(),expanding=n},gcd_main=function(){var n;if(expanding=1,p2=pop(),p1=pop(),DEBUG&&console.log("gcd_main: p1: "+p1+" p2: "+p2),equal(p1,p2)){push(p1);return}if(isrational(p1)&&isrational(p2)){push(p1),push(p2),gcd_numbers();return}if(n=areunivarpolysfactoredorexpandedform(p1,p2)){gcd_polys(n);return}if(car(p1)===symbol(ADD)&&car(p2)===symbol(ADD)){gcd_sum_sum();return}if(car(p1)===symbol(ADD)&&(gcd_sum(p1),p1=pop()),car(p2)===symbol(ADD)&&(gcd_sum(p2),p2=pop()),car(p1)===symbol(MULTIPLY)){gcd_sum_product();return}if(car(p2)===symbol(MULTIPLY)){gcd_product_sum();return}if(car(p1)===symbol(MULTIPLY)&&car(p2)===symbol(MULTIPLY)){gcd_product_product();return}return gcd_powers_with_same_base()},areunivarpolysfactoredorexpandedform=function(n,t){var r;return DEBUG&&console.log("areunivarpolysfactoredorexpandedform: p1: "+n+" p2: "+t),(r=isunivarpolyfactoredorexpandedform(n))&&isunivarpolyfactoredorexpandedform(t,r)?r:!1},gcd_polys=function(n){if(DEBUG&&console.log("gcd_polys: p1: "+p1+" polyVar: "+n),push(p1),push(n),factorpoly(),p1=pop(),push(p2),push(n),factorpoly(),p2=pop(),DEBUG&&console.log("GCD: factored polys:"),DEBUG&&console.log("  p1:"+p1.toString()),DEBUG&&console.log("  p2:"+p2.toString()),(car(p1)===symbol(MULTIPLY)||car(p2)===symbol(MULTIPLY))&&(car(p1)!==symbol(MULTIPLY)&&(push_symbol(MULTIPLY),push(p1),push(one),list(3),p1=pop()),car(p2)!==symbol(MULTIPLY)&&(push_symbol(MULTIPLY),push(p2),push(one),list(3),p2=pop())),car(p1)===symbol(MULTIPLY)&&car(p2)===symbol(MULTIPLY)){gcd_product_product();return}return gcd_powers_with_same_base(),!0},gcd_product_product=function(){var n;for(push(one),p3=cdr(p1),n=[];iscons(p3);){for(p4=cdr(p2);iscons(p4);)push(car(p3)),push(car(p4)),gcd(),multiply(),p4=cdr(p4);n.push(p3=cdr(p3))}return n},gcd_powers_with_same_base=function(){if(car(p1)===symbol(POWER)?(p3=caddr(p1),p1=cadr(p1)):p3=one,car(p2)===symbol(POWER)?(p4=caddr(p2),p2=cadr(p2)):p4=one,!equal(p1,p2)){push(one);return}if(isNumericAtom(p3)&&isNumericAtom(p4)){push(p1),lessp(p3,p4)?push(p3):push(p4),power();return}if(push(p3),push(p4),divide(),p5=pop(),isNumericAtom(p5)){push(p1),car(p3)===symbol(MULTIPLY)&&isNumericAtom(cadr(p3))?p5=cadr(p3):p5=one,car(p4)===symbol(MULTIPLY)&&isNumericAtom(cadr(p4))?p6=cadr(p4):p6=one,lessp(p5,p6)?push(p3):push(p4),power();return}if(push(p3),push(p4),subtract(),p5=pop(),!isNumericAtom(p5)){push(one);return}return push(p1),isnegativenumber(p5)?push(p3):push(p4),power()},gcd_sum_sum=function(){if(length(p1)!==length(p2)){push(one);return}for(p3=cdr(p1),push(car(p3)),p3=cdr(p3);iscons(p3);)push(car(p3)),gcd(),p3=cdr(p3);for(p3=pop(),p4=cdr(p2),push(car(p4)),p4=cdr(p4);iscons(p4);)push(car(p4)),gcd(),p4=cdr(p4);return p4=pop(),push(p1),push(p3),divide(),p5=pop(),push(p2),push(p4),divide(),p6=pop(),equal(p5,p6)?(push(p5),push(p3),push(p4),gcd(),multiply()):push(one)},gcd_sum=function(n){var t;for(n=cdr(n),push(car(n)),n=cdr(n),t=[];iscons(n);)push(car(n)),gcd(),t.push(n=cdr(n));return t},gcd_sum_product=function(){var n;for(push(one),p3=cdr(p1),n=[];iscons(p3);)push(car(p3)),push(p2),gcd(),multiply(),n.push(p3=cdr(p3));return n},gcd_product_sum=function(){var n;for(push(one),p4=cdr(p2),n=[];iscons(p4);)push(p1),push(car(p4)),gcd(),multiply(),n.push(p4=cdr(p4));return n},guess=function(){var n;return n=pop(),push(n),Find(n,symbol(SYMBOL_X))?push_symbol(SYMBOL_X):Find(n,symbol(SYMBOL_Y))?push_symbol(SYMBOL_Y):Find(n,symbol(SYMBOL_Z))?push_symbol(SYMBOL_Z):Find(n,symbol(SYMBOL_T))?push_symbol(SYMBOL_T):Find(n,symbol(SYMBOL_S))?push_symbol(SYMBOL_S):push_symbol(SYMBOL_X)},hermite=function(){return save(),yyhermite(),restore()},yyhermite=function(){var n;if(n=0,p2=pop(),p1=pop(),push(p2),n=pop_integer(),n<0||isNaN(n)){push_symbol(HERMITE),push(p1),push(p2),list(3);return}return issymbol(p1)?yyhermite2(n):(p3=p1,p1=symbol(SECRETX),yyhermite2(n),p1=p3,push(symbol(SECRETX)),push(p1),subst(),Eval())},yyhermite2=function(n){var t,r,a,s;for(t=0,push_integer(1),push_integer(0),p4=pop(),s=[],t=r=0,a=n;0<=a?r<a:r>a;t=0<=a?++r:--r)p5=p4,p4=pop(),push(p1),push(p4),multiply(),push_integer(t),push(p5),multiply(),subtract(),push_integer(2),s.push(multiply());return s},hilbert=function(){var n,t,r,a,s,l,u;if(n=0,r=0,a=0,save(),p2=pop(),push(p2),a=pop_integer(),a<2){push_symbol(HILBERT),push(p2),list(2),restore();return}for(push_zero_matrix(a,a),p1=pop(),n=s=0,l=a;0<=l?s<l:s>l;n=0<=l?++s:--s)for(r=t=0,u=a;0<=u?t<u:t>u;r=0<=u?++t:--t)push_integer(n+r+1),inverse(),p1.tensor.elem[n*a+r]=pop();return push(p1),restore()},DEBUG_IMAG=!1,Eval_imag=function(){return push(cadr(p1)),Eval(),imag()},imag=function(){return save(),rect(),p1=pop(),DEBUG_IMAG&&console.log("IMAGE of "+p1),push(p1),push(p1),conjugate(),DEBUG_IMAG&&console.log(" image: conjugate result: "+stack[tos-1]),subtract(),push_integer(2),divide(),DEBUG_IMAG&&console.log(" image: 1st divide result: "+stack[tos-1]),push(imaginaryunit),divide(),DEBUG_IMAG&&console.log(" image: 2nd divide result: "+stack[tos-1]),restore()},index_function=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec;for(t=0,s=0,u=0,m=0,g=0,ec=0,save(),Lr=tos-n,p1=stack[Lr],m=p1.tensor.ndim,u=n-1,u>m&&stop("too many indices for tensor"),s=0,t=f=0,x=u;0<=x?f<x:f>x;t=0<=x?++f:--f)push(stack[Lr+t+1]),ec=pop_integer(),(ec<1||ec>p1.tensor.dim[t])&&stop("index out of range"),s=s*p1.tensor.dim[t]+ec-1;if(m===u){moveTos(tos-n),push(p1.tensor.elem[s]),restore();return}for(t=r=w=u,Z=m;w<=Z?r<Z:r>Z;t=w<=Z?++r:--r)s=s*p1.tensor.dim[t]+0;for(g=1,t=a=Ce=u,ne=m;Ce<=ne?a<ne:a>ne;t=Ce<=ne?++a:--a)g*=p1.tensor.dim[t];for(p2=alloc_tensor(g),p2.tensor.ndim=m-u,t=l=$e=u,Ie=m;$e<=Ie?l<Ie:l>Ie;t=$e<=Ie?++l:--l)p2.tensor.dim[t-u]=p1.tensor.dim[t];for(t=_=0,Dt=g;0<=Dt?_<Dt:_>Dt;t=0<=Dt?++_:--_)p2.tensor.elem[t]=p1.tensor.elem[s+t];return check_tensor_dimensions(p1),check_tensor_dimensions(p2),moveTos(tos-n),push(p2),restore()},set_component=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr;for(t=0,s=0,u=0,g=0,Lr=0,save(),n<3&&stop("error in indexed assign"),Dt=tos-n,p2=stack[Dt],p1=stack[Dt+1],istensor(p1)||stop("error in indexed assign: assigning to something that is not a tensor"),g=p1.tensor.ndim,u=n-2,u>g&&stop("error in indexed assign"),s=0,t=f=0,x=u;0<=x?f<x:f>x;t=0<=x?++f:--f)push(stack[Dt+t+2]),Lr=pop_integer(),(Lr<1||Lr>p1.tensor.dim[t])&&stop(`error in indexed assign
`),s=s*p1.tensor.dim[t]+Lr-1;for(t=r=w=u,Z=g;w<=Z?r<Z:r>Z;t=w<=Z?++r:--r)s=s*p1.tensor.dim[t]+0;for(p3=alloc_tensor(p1.tensor.nelem),p3.tensor.ndim=p1.tensor.ndim,t=a=0,Ce=p1.tensor.ndim;0<=Ce?a<Ce:a>Ce;t=0<=Ce?++a:--a)p3.tensor.dim[t]=p1.tensor.dim[t];for(t=l=0,ne=p1.tensor.nelem;0<=ne?l<ne:l>ne;t=0<=ne?++l:--l)p3.tensor.elem[t]=p1.tensor.elem[t];if(check_tensor_dimensions(p1),check_tensor_dimensions(p3),p1=p3,g===u){istensor(p2)&&stop("error in indexed assign"),p1.tensor.elem[s]=p2,check_tensor_dimensions(p1),moveTos(tos-n),push(p1),restore();return}for(istensor(p2)||stop("error in indexed assign"),g-u!==p2.tensor.ndim&&stop("error in indexed assign"),t=_=0,$e=p2.tensor.ndim;0<=$e?_<$e:_>$e;t=0<=$e?++_:--_)p1.tensor.dim[u+t]!==p2.tensor.dim[t]&&stop("error in indexed assign");for(t=m=0,Ie=p2.tensor.nelem;0<=Ie?m<Ie:m>Ie;t=0<=Ie?++m:--m)p1.tensor.elem[s+t]=p2.tensor.elem[t];return check_tensor_dimensions(p1),check_tensor_dimensions(p2),moveTos(tos-n),push(p1),restore()},Eval_inner=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e;for($e=[],$e.push(car(cdr(p1))),Ce=car(cdr(cdr(p1))),Ce===symbol(NIL)&&stop("pattern needs at least a template and a transformed version"),l=cdr(cdr(p1));l!==symbol(NIL);)$e.push(car(l)),l=cdr(l);if($e.length>2){for(push_symbol(INNER),push($e[$e.length-2]),push($e[$e.length-1]),list(3),t=u=2,m=$e.length;2<=m?u<m:u>m;t=2<=m?++u:--u)push_symbol(INNER),swap(),push($e[$e.length-t-1]),swap(),list(3);p1=pop(),Eval_inner();return}for(_=[],get_innerprod_factors(p1,_),w=[],t=r=0,g=_.length;0<=g?r<g:r>g;t=0<=g?++r:--r)_[t]!==symbol(SYMBOL_IDENTITY_MATRIX)&&w.push(_[t]);if(_=w,w=[],_.length>1){for(ne=0,t=a=0,f=_.length;(0<=f?a<f:a>f)&&t+ne+1<=_.length-1;t=0<=f?++a:--a){isNumericAtomOrTensor(_[t+ne])||isNumericAtomOrTensor(_[t+ne+1])?w.push(_[t+ne]):(push(_[t+ne]),Eval(),inv(),push(_[t+ne+1]),Eval(),subtract(),n=pop(),isZeroAtomOrTensor(n)?ne+=1:w.push(_[t+ne]));if(t+ne===_.length-2&&w.push(_[_.length-1]),t+ne>=_.length-1)break}_=w}if(push(symbol(INNER)),_.length>0)for(t=s=0,x=_.length;0<=x?s<x:s>x;t=0<=x?++s:--s)push(_[t]);else{pop(),push(symbol(SYMBOL_IDENTITY_MATRIX));return}for(list(_.length+1),p1=pop(),p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),Z=[];iscons(p1);)push(car(p1)),Eval(),inner(),Z.push(p1=cdr(p1));return Z},inner=function(){var n,t,r,a;if(save(),p2=pop(),p1=pop(),isnegativeterm(p2)&&isnegativeterm(p1)&&(push(p2),negate(),p2=pop(),push(p1),negate(),p1=pop()),isinnerordot(p1)&&(n=car(cdr(p1)),t=car(cdr(cdr(p1))),r=p2,p1=n,push(t),push(r),inner(),p2=pop()),p1===symbol(SYMBOL_IDENTITY_MATRIX)){push(p2),restore();return}else if(p2===symbol(SYMBOL_IDENTITY_MATRIX)){push(p1),restore();return}if(istensor(p1)&&istensor(p2))inner_f();else{if(!(isNumericAtomOrTensor(p1)||isNumericAtomOrTensor(p2))&&(push(p1),push(p2),inv(),subtract(),a=pop(),isZeroAtomOrTensor(a))){push_symbol(SYMBOL_IDENTITY_MATRIX),restore();return}if(expanding&&isadd(p1)){for(p1=cdr(p1),push(zero);iscons(p1);)push(car(p1)),push(p2),inner(),add(),p1=cdr(p1);restore();return}if(expanding&&isadd(p2)){for(p2=cdr(p2),push(zero);iscons(p2);)push(p1),push(car(p2)),inner(),add(),p2=cdr(p2);restore();return}if(push(p1),push(p2),istensor(p1)&&isNumericAtom(p2))tensor_times_scalar();else if(isNumericAtom(p1)&&istensor(p2))scalar_times_tensor();else if(isNumericAtom(p1)||isNumericAtom(p2))multiply();else{pop(),pop(),push_symbol(INNER),push(p1),push(p2),list(3),restore();return}}return restore()},inner_f=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc;if(l=0,w=p1.tensor.dim[p1.tensor.ndim-1],w!==p2.tensor.dim[0]){debugger;stop("inner: tensor dimension check")}for(Ce=p1.tensor.ndim+p2.tensor.ndim-2,Ce>MAXDIM&&stop("inner: rank of result exceeds maximum"),n=p1.tensor.elem,r=p2.tensor.elem,t=1,l=ne=0,Ie=p1.tensor.ndim-1;0<=Ie?ne<Ie:ne>Ie;l=0<=Ie?++ne:--ne)t*=p1.tensor.dim[l];for(a=1,l=u=1,Dt=p2.tensor.ndim;1<=Dt?u<Dt:u>Dt;l=1<=Dt?++u:--u)a*=p2.tensor.dim[l];for(p3=alloc_tensor(t*a),s=p3.tensor.elem,l=m=0,Lr=t;0<=Lr?m<Lr:m>Lr;l=0<=Lr?++m:--m)for(_=f=0,ec=w;0<=ec?f<ec:f>ec;_=0<=ec?++f:--f)if(!isZeroAtomOrTensor(n[l*w+_]))for(g=x=0,ys=a;0<=ys?x<ys:x>ys;g=0<=ys?++x:--x)push(n[l*w+_]),push(r[_*a+g]),multiply(),push(s[l*a+g]),add(),s[l*a+g]=pop();if(Ce===0)return push(p3.tensor.elem[0]);for(p3.tensor.ndim=Ce,_=0,l=Z=0,tc=p1.tensor.ndim-1;0<=tc?Z<tc:Z>tc;l=0<=tc?++Z:--Z)p3.tensor.dim[l]=p1.tensor.dim[l];for(_=p1.tensor.ndim-1,l=$e=0,nc=p2.tensor.ndim-1;0<=nc?$e<nc:$e>nc;l=0<=nc?++$e:--$e)p3.tensor.dim[_+l]=p2.tensor.dim[l+1];return push(p3)},get_innerprod_factors=function(n,t){if(!iscons(n)){add_factor_to_accumulator(n,t);return}if(cdr(n)===symbol(NIL)){n=get_innerprod_factors(car(n),t);return}if(isinnerordot(n)){get_innerprod_factors(car(cdr(n)),t),get_innerprod_factors(cdr(cdr(n)),t);return}return add_factor_to_accumulator(n,t)},add_factor_to_accumulator=function(n,t){if(n!==symbol(NIL))return t.push(n)},itab=["f(a,a*x)","f(1/x,log(x))","f(x^a,x^(a+1)/(a+1))","f(x^(-2),-x^(-1))","f(x^(-1/2),2*x^(1/2))","f(x^(1/2),2/3*x^(3/2))","f(x,x^2/2)","f(x^2,x^3/3)","f(exp(a*x),1/a*exp(a*x))","f(exp(a*x+b),1/a*exp(a*x+b))","f(x*exp(a*x^2),exp(a*x^2)/(2*a))","f(x*exp(a*x^2+b),exp(a*x^2+b)/(2*a))","f(log(a*x),x*log(a*x)-x)","f(a^x,a^x/log(a),or(not(number(a)),a>0))","f(1/(a+x^2),1/sqrt(a)*arctan(x/sqrt(a)),or(not(number(a)),a>0))","f(1/(a-x^2),1/sqrt(a)*arctanh(x/sqrt(a)))","f(1/sqrt(a-x^2),arcsin(x/(sqrt(a))))","f(1/sqrt(a+x^2),log(x+sqrt(a+x^2)))","f(1/(a+b*x),1/b*log(a+b*x))","f(1/(a+b*x)^2,-1/(b*(a+b*x)))","f(1/(a+b*x)^3,-1/(2*b)*1/(a+b*x)^2)","f(x/(a+b*x),x/b-a*log(a+b*x)/b/b)","f(x/(a+b*x)^2,1/b^2*(log(a+b*x)+a/(a+b*x)))","f(x^2/(a+b*x),1/b^2*(1/2*(a+b*x)^2-2*a*(a+b*x)+a^2*log(a+b*x)))","f(x^2/(a+b*x)^2,1/b^3*(a+b*x-2*a*log(a+b*x)-a^2/(a+b*x)))","f(x^2/(a+b*x)^3,1/b^3*(log(a+b*x)+2*a/(a+b*x)-1/2*a^2/(a+b*x)^2))","f(1/x*1/(a+b*x),-1/a*log((a+b*x)/x))","f(1/x*1/(a+b*x)^2,1/a*1/(a+b*x)-1/a^2*log((a+b*x)/x))","f(1/x*1/(a+b*x)^3,1/a^3*(1/2*((2*a+b*x)/(a+b*x))^2+log(x/(a+b*x))))","f(1/x^2*1/(a+b*x),-1/(a*x)+b/a^2*log((a+b*x)/x))","f(1/x^3*1/(a+b*x),(2*b*x-a)/(2*a^2*x^2)+b^2/a^3*log(x/(a+b*x)))","f(1/x^2*1/(a+b*x)^2,-(a+2*b*x)/(a^2*x*(a+b*x))+2*b/a^3*log((a+b*x)/x))","f(1/(a+b*x^2),1/sqrt(a*b)*arctan(x*sqrt(a*b)/a),or(not(number(a*b)),a*b>0))","f(1/(a+b*x^2),1/(2*sqrt(-a*b))*log((a+x*sqrt(-a*b))/(a-x*sqrt(-a*b))),or(not(number(a*b)),a*b<0))","f(x/(a+b*x^2),1/2*1/b*log(a+b*x^2))","f(x^2/(a+b*x^2),x/b-a/b*integral(1/(a+b*x^2),x))","f(1/(a+b*x^2)^2,x/(2*a*(a+b*x^2))+1/2*1/a*integral(1/(a+b*x^2),x))","f(1/x*1/(a+b*x^2),1/2*1/a*log(x^2/(a+b*x^2)))","f(1/x^2*1/(a+b*x^2),-1/(a*x)-b/a*integral(1/(a+b*x^2),x))","f(1/(a+b*x^3),1/3*1/a*(a/b)^(1/3)*(1/2*log(((a/b)^(1/3)+x)^3/(a+b*x^3))+sqrt(3)*arctan((2*x-(a/b)^(1/3))*(a/b)^(-1/3)/sqrt(3))))","f(x^2/(a+b*x^3),1/3*1/b*log(a+b*x^3))","f(x/(a+b*x^4),1/2*sqrt(b/a)/b*arctan(x^2*sqrt(b/a)),or(not(number(a*b)),a*b>0))","f(x/(a+b*x^4),1/4*sqrt(-b/a)/b*log((x^2-sqrt(-a/b))/(x^2+sqrt(-a/b))),or(not(number(a*b)),a*b<0))","f(x^3/(a+b*x^4),1/4*1/b*log(a+b*x^4))","f(sqrt(a+b*x),2/3*1/b*sqrt((a+b*x)^3))","f(x*sqrt(a+b*x),-2*(2*a-3*b*x)*sqrt((a+b*x)^3)/15/b^2)","f(x^2*sqrt(a+b*x),2*(8*a^2-12*a*b*x+15*b^2*x^2)*sqrt((a+b*x)^3)/105/b^3)","f(sqrt(a+b*x)/x,2*sqrt(a+b*x)+a*integral(1/x*1/sqrt(a+b*x),x))","f(sqrt(a+b*x)/x^2,-sqrt(a+b*x)/x+b/2*integral(1/x*1/sqrt(a+b*x),x))","f(1/sqrt(a+b*x),2*sqrt(a+b*x)/b)","f(x/sqrt(a+b*x),-2/3*(2*a-b*x)*sqrt(a+b*x)/b^2)","f(x^2/sqrt(a+b*x),2/15*(8*a^2-4*a*b*x+3*b^2*x^2)*sqrt(a+b*x)/b^3)","f(1/x*1/sqrt(a+b*x),1/sqrt(a)*log((sqrt(a+b*x)-sqrt(a))/(sqrt(a+b*x)+sqrt(a))),or(not(number(a)),a>0))","f(1/x*1/sqrt(a+b*x),2/sqrt(-a)*arctan(sqrt(-(a+b*x)/a)),or(not(number(a)),a<0))","f(1/x^2*1/sqrt(a+b*x),-sqrt(a+b*x)/a/x-1/2*b/a*integral(1/x*1/sqrt(a+b*x),x))","f(sqrt(x^2+a),1/2*(x*sqrt(x^2+a)+a*log(x+sqrt(x^2+a))))","f(1/sqrt(x^2+a),log(x+sqrt(x^2+a)))","f(1/x*1/sqrt(x^2+a),arcsec(x/sqrt(-a))/sqrt(-a),or(not(number(a)),a<0))","f(1/x*1/sqrt(x^2+a),-1/sqrt(a)*log((sqrt(a)+sqrt(x^2+a))/x),or(not(number(a)),a>0))","f(sqrt(x^2+a)/x,sqrt(x^2+a)-sqrt(a)*log((sqrt(a)+sqrt(x^2+a))/x),or(not(number(a)),a>0))","f(sqrt(x^2+a)/x,sqrt(x^2+a)-sqrt(-a)*arcsec(x/sqrt(-a)),or(not(number(a)),a<0))","f(x/sqrt(x^2+a),sqrt(x^2+a))","f(x*sqrt(x^2+a),1/3*sqrt((x^2+a)^3))","f(sqrt(a+x^6+3*a^(1/3)*x^4+3*a^(2/3)*x^2),1/4*(x*sqrt((x^2+a^(1/3))^3)+3/2*a^(1/3)*x*sqrt(x^2+a^(1/3))+3/2*a^(2/3)*log(x+sqrt(x^2+a^(1/3)))))","f(sqrt(-a+x^6-3*a^(1/3)*x^4+3*a^(2/3)*x^2),1/4*(x*sqrt((x^2-a^(1/3))^3)-3/2*a^(1/3)*x*sqrt(x^2-a^(1/3))+3/2*a^(2/3)*log(x+sqrt(x^2-a^(1/3)))))","f(1/sqrt(a+x^6+3*a^(1/3)*x^4+3*a^(2/3)*x^2),x/a^(1/3)/sqrt(x^2+a^(1/3)))","f(x/sqrt(a+x^6+3*a^(1/3)*x^4+3*a^(2/3)*x^2),-1/sqrt(x^2+a^(1/3)))","f(x*sqrt(a+x^6+3*a^(1/3)*x^4+3*a^(2/3)*x^2),1/5*sqrt((x^2+a^(1/3))^5))","f(x^2*sqrt(x^2+a),1/4*x*sqrt((x^2+a)^3)-1/8*a*x*sqrt(x^2+a)-1/8*a^2*log(x+sqrt(x^2+a)))","f(x^3*sqrt(x^2+a),(1/5*x^2-2/15*a)*sqrt((x^2+a)^3),and(number(a),a>0))","f(x^3*sqrt(x^2+a),sqrt((x^2+a)^5)/5-a*sqrt((x^2+a)^3)/3,and(number(a),a<0))","f(x^2/sqrt(x^2+a),1/2*x*sqrt(x^2+a)-1/2*a*log(x+sqrt(x^2+a)))","f(x^3/sqrt(x^2+a),1/3*sqrt((x^2+a)^3)-a*sqrt(x^2+a))","f(1/x^2*1/sqrt(x^2+a),-sqrt(x^2+a)/a/x)","f(1/x^3*1/sqrt(x^2+a),-1/2*sqrt(x^2+a)/a/x^2+1/2*log((sqrt(a)+sqrt(x^2+a))/x)/a^(3/2),or(not(number(a)),a>0))","f(1/x^3*1/sqrt(x^2-a),1/2*sqrt(x^2-a)/a/x^2+1/2*1/(a^(3/2))*arcsec(x/(a^(1/2))),or(not(number(a)),a>0))","f(x^2*sqrt(a+x^6+3*a^(1/3)*x^4+3*a^(2/3)*x^2),1/6*x*sqrt((x^2+a^(1/3))^5)-1/24*a^(1/3)*x*sqrt((x^2+a^(1/3))^3)-1/16*a^(2/3)*x*sqrt(x^2+a^(1/3))-1/16*a*log(x+sqrt(x^2+a^(1/3))),or(not(number(a)),a>0))","f(x^2*sqrt(-a-3*a^(1/3)*x^4+3*a^(2/3)*x^2+x^6),1/6*x*sqrt((x^2-a^(1/3))^5)+1/24*a^(1/3)*x*sqrt((x^2-a^(1/3))^3)-1/16*a^(2/3)*x*sqrt(x^2-a^(1/3))+1/16*a*log(x+sqrt(x^2-a^(1/3))),or(not(number(a)),a>0))","f(x^3*sqrt(a+x^6+3*a^(1/3)*x^4+3*a^(2/3)*x^2),1/7*sqrt((x^2+a^(1/3))^7)-1/5*a^(1/3)*sqrt((x^2+a^(1/3))^5),or(not(number(a)),a>0))","f(x^3*sqrt(-a-3*a^(1/3)*x^4+3*a^(2/3)*x^2+x^6),1/7*sqrt((x^2-a^(1/3))^7)+1/5*a^(1/3)*sqrt((x^2-a^(1/3))^5),or(not(number(a)),a>0))","f(1/(x-a)/sqrt(x^2-a^2),-sqrt(x^2-a^2)/a/(x-a))","f(1/(x+a)/sqrt(x^2-a^2),sqrt(x^2-a^2)/a/(x+a))","f(sqrt(a-x^2),1/2*(x*sqrt(a-x^2)+a*arcsin(x/sqrt(abs(a)))))","f(1/x*1/sqrt(a-x^2),-1/sqrt(a)*log((sqrt(a)+sqrt(a-x^2))/x),or(not(number(a)),a>0))","f(sqrt(a-x^2)/x,sqrt(a-x^2)-sqrt(a)*log((sqrt(a)+sqrt(a-x^2))/x),or(not(number(a)),a>0))","f(x/sqrt(a-x^2),-sqrt(a-x^2))","f(x*sqrt(a-x^2),-1/3*sqrt((a-x^2)^3))","f(x^2*sqrt(a-x^2),-x/4*sqrt((a-x^2)^3)+1/8*a*(x*sqrt(a-x^2)+a*arcsin(x/sqrt(a))),or(not(number(a)),a>0))","f(x^3*sqrt(a-x^2),(-1/5*x^2-2/15*a)*sqrt((a-x^2)^3),or(not(number(a)),a>0))","f(x^2/sqrt(a-x^2),-x/2*sqrt(a-x^2)+a/2*arcsin(x/sqrt(a)),or(not(number(a)),a>0))","f(1/x^2*1/sqrt(a-x^2),-sqrt(a-x^2)/a/x,or(not(number(a)),a>0))","f(sqrt(a-x^2)/x^2,-sqrt(a-x^2)/x-arcsin(x/sqrt(a)),or(not(number(a)),a>0))","f(sqrt(a-x^2)/x^3,-1/2*sqrt(a-x^2)/x^2+1/2*log((sqrt(a)+sqrt(a-x^2))/x)/sqrt(a),or(not(number(a)),a>0))","f(sqrt(a-x^2)/x^4,-1/3*sqrt((a-x^2)^3)/a/x^3,or(not(number(a)),a>0))","f(sqrt(a*x^2+b),x*sqrt(a*x^2+b)/2+b*log(x*sqrt(a)+sqrt(a*x^2+b))/2/sqrt(a),and(number(a),a>0))","f(sqrt(a*x^2+b),x*sqrt(a*x^2+b)/2+b*arcsin(x*sqrt(-a/b))/2/sqrt(-a),and(number(a),a<0))","f(sin(a*x),-cos(a*x)/a)","f(cos(a*x),sin(a*x)/a)","f(tan(a*x),-log(cos(a*x))/a)","f(1/tan(a*x),log(sin(a*x))/a)","f(1/cos(a*x),log(tan(pi/4+a*x/2))/a)","f(1/sin(a*x),log(tan(a*x/2))/a)","f(sin(a*x)^2,x/2-sin(2*a*x)/(4*a))","f(sin(a*x)^3,-cos(a*x)*(sin(a*x)^2+2)/(3*a))","f(sin(a*x)^4,3/8*x-sin(2*a*x)/(4*a)+sin(4*a*x)/(32*a))","f(cos(a*x)^2,x/2+sin(2*a*x)/(4*a))","f(cos(a*x)^3,sin(a*x)*(cos(a*x)^2+2)/(3*a))","f(cos(a*x)^4,3/8*x+sin(2*a*x)/(4*a)+sin(4*a*x)/(32*a))","f(1/sin(a*x)^2,-1/(a*tan(a*x)))","f(1/cos(a*x)^2,tan(a*x)/a)","f(sin(a*x)*cos(a*x),sin(a*x)^2/(2*a))","f(sin(a*x)^2*cos(a*x)^2,-sin(4*a*x)/(32*a)+x/8)","f(sin(a*x)/cos(a*x)^2,1/(a*cos(a*x)))","f(sin(a*x)^2/cos(a*x),(log(tan(pi/4+a*x/2))-sin(a*x))/a)","f(cos(a*x)/sin(a*x)^2,-1/(a*sin(a*x)))","f(1/(sin(a*x)*cos(a*x)),log(tan(a*x))/a)","f(1/(sin(a*x)*cos(a*x)^2),(1/cos(a*x)+log(tan(a*x/2)))/a)","f(1/(sin(a*x)^2*cos(a*x)),(log(tan(pi/4+a*x/2))-1/sin(a*x))/a)","f(1/(sin(a*x)^2*cos(a*x)^2),-2/(a*tan(2*a*x)))","f(sin(a+b*x),-cos(a+b*x)/b)","f(cos(a+b*x),sin(a+b*x)/b)","f(1/(b+b*sin(a*x)),-tan(pi/4-a*x/2)/a/b)","f(1/(b-b*sin(a*x)),tan(pi/4+a*x/2)/a/b)","f(1/(b+b*cos(a*x)),tan(a*x/2)/a/b)","f(1/(b-b*cos(a*x)),-1/tan(a*x/2)/a/b)","f(1/(a+b*sin(x)),1/sqrt(b^2-a^2)*log((a*tan(x/2)+b-sqrt(b^2-a^2))/(a*tan(x/2)+b+sqrt(b^2-a^2))),b^2-a^2)","f(1/(a+b*cos(x)),1/sqrt(b^2-a^2)*log((sqrt(b^2-a^2)*tan(x/2)+a+b)/(sqrt(b^2-a^2)*tan(x/2)-a-b)),b^2-a^2)","f(x*sin(a*x),sin(a*x)/a^2-x*cos(a*x)/a)","f(x^2*sin(a*x),2*x*sin(a*x)/a^2-(a^2*x^2-2)*cos(a*x)/a^3)","f(x*cos(a*x),cos(a*x)/a^2+x*sin(a*x)/a)","f(x^2*cos(a*x),2*x*cos(a*x)/a^2+(a^2*x^2-2)*sin(a*x)/a^3)","f(arcsin(a*x),x*arcsin(a*x)+sqrt(1-a^2*x^2)/a)","f(arccos(a*x),x*arccos(a*x)-sqrt(1-a^2*x^2)/a)","f(arctan(a*x),x*arctan(a*x)-1/2*log(1+a^2*x^2)/a)","f(x*log(a*x),x^2*log(a*x)/2-x^2/4)","f(x^2*log(a*x),x^3*log(a*x)/3-1/9*x^3)","f(log(x)^2,x*log(x)^2-2*x*log(x)+2*x)","f(1/x*1/(a+log(x)),log(a+log(x)))","f(log(a*x+b),(a*x+b)*log(a*x+b)/a-x)","f(log(a*x+b)/x^2,a/b*log(x)-(a*x+b)*log(a*x+b)/b/x)","f(sinh(x),cosh(x))","f(cosh(x),sinh(x))","f(tanh(x),log(cosh(x)))","f(x*sinh(x),x*cosh(x)-sinh(x))","f(x*cosh(x),x*sinh(x)-cosh(x))","f(sinh(x)^2,sinh(2*x)/4-x/2)","f(tanh(x)^2,x-tanh(x))","f(cosh(x)^2,sinh(2*x)/4+x/2)","f(x^3*exp(a*x^2),exp(a*x^2)*(x^2/a-1/(a^2))/2)","f(x^3*exp(a*x^2+b),exp(a*x^2)*exp(b)*(x^2/a-1/(a^2))/2)","f(exp(a*x^2),-i*sqrt(pi)*erf(i*sqrt(a)*x)/sqrt(a)/2)","f(erf(a*x),x*erf(a*x)+exp(-a^2*x^2)/a/sqrt(pi))","f(x^2*(1-x^2)^(3/2),(x*sqrt(1-x^2)*(-8*x^4+14*x^2-3)+3*arcsin(x))/48)","f(x^2*(1-x^2)^(5/2),(x*sqrt(1-x^2)*(48*x^6-136*x^4+118*x^2-15)+15*arcsin(x))/384)","f(x^4*(1-x^2)^(3/2),(-x*sqrt(1-x^2)*(16*x^6-24*x^4+2*x^2+3)+3*arcsin(x))/128)","f(x*exp(a*x),exp(a*x)*(a*x-1)/(a^2))","f(x*exp(a*x+b),exp(a*x+b)*(a*x-1)/(a^2))","f(x^2*exp(a*x),exp(a*x)*(a^2*x^2-2*a*x+2)/(a^3))","f(x^2*exp(a*x+b),exp(a*x+b)*(a^2*x^2-2*a*x+2)/(a^3))","f(x^3*exp(a*x),exp(a*x)*x^3/a-3/a*integral(x^2*exp(a*x),x))","f(x^3*exp(a*x+b),exp(a*x+b)*x^3/a-3/a*integral(x^2*exp(a*x+b),x))",0],Eval_integral=function(){var n,t,r,a,s;for(t=0,p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),push(car(p1)),Eval(),p2=pop(),p2===symbol(NIL)?(guess(),push(symbol(NIL))):isNumericAtom(p2)?(guess(),push(p2)):(push(p2),p1=cdr(p1),push(car(p1)),Eval()),p5=pop(),p4=pop(),p3=pop();;){if(isNumericAtom(p5)?(push(p5),t=pop_integer(),isNaN(t)&&stop("nth integral: check n")):t=1,push(p3),t>=0)for(r=0,a=t;0<=a?r<a:r>a;0<=a?++r:--r)push(p4),integral();else for(t=-t,n=0,s=t;0<=s?n<s:n>s;0<=s?++n:--n)push(p4),derivative();if(p3=pop(),p5===symbol(NIL))break;if(isNumericAtom(p5)){if(p1=cdr(p1),push(car(p1)),Eval(),p5=pop(),p5===symbol(NIL))break;isNumericAtom(p5)||(p4=p5,p1=cdr(p1),push(car(p1)),Eval(),p5=pop())}else p4=p5,p1=cdr(p1),push(car(p1)),Eval(),p5=pop()}return push(p3)},integral=function(){return save(),p2=pop(),p1=pop(),car(p1)===symbol(ADD)?integral_of_sum():car(p1)===symbol(MULTIPLY)?integral_of_product():integral_of_form(),p1=pop(),Find(p1,symbol(INTEGRAL))&&stop("integral: sorry, could not find a solution"),push(p1),simplify(),Eval(),restore()},integral_of_sum=function(){var n;for(p1=cdr(p1),push(car(p1)),push(p2),integral(),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),push(p2),integral(),add(),n.push(p1=cdr(p1));return n},integral_of_product=function(){return push(p1),push(p2),partition(),p1=pop(),integral_of_form(),multiply()},integral_of_form=function(){var n,t;if(n=italu_hashcode(p1,p2).toFixed(6),t=hashed_itab[n],!t){push_symbol(INTEGRAL),push(p1),push(p2),list(3);return}return push(p1),push(p2),transform(t,!1),p3=pop(),p3===symbol(NIL)?(push_symbol(INTEGRAL),push(p1),push(p2),list(3)):push(p3)},hashcode_values={x:.95532,constexp:1.43762,constant:1.1441659362941434,constbase:1.2036412230421882,sin:1.7330548251830322,arcsin:1.6483368529465805,cos:1.0586721236863401,arccos:1.8405225918106694,tan:1.1224943776292506,arctan:1.1297397925394963,sinh:1.8176164926060079,cosh:1.9404934661708022,tanh:1.6421307715103122,log:1.477443701354924,erf:1.0825269225702916},italu_hashcode=function(n,t){var r;if(issymbol(n))return equal(n,t)?hashcode_values.x:hashcode_values.constant;if(iscons(n))switch(symnum(car(n))){case ADD:return hash_addition(cdr(n),t);case MULTIPLY:return hash_multiplication(cdr(n),t);case POWER:return hash_power(cadr(n),caddr(n),t);case EXP:return hash_power(symbol(E),cadr(n),t);case SQRT:return push_double(.5),r=pop(),hash_power(cadr(n),r,t);default:return hash_function(n,t)}return hashcode_values.constant},hash_function=function(n,t){var r,a,s;if(!Find(cadr(n),t))return hashcode_values.constant;if(s=car(n),r=italu_hashcode(cadr(n),t),a=hashcode_values[s.printname],!a)throw new Error("Unsupported function "+s.printname);return Math.pow(a,r)},hash_addition=function(n,t){var r,a,s,l,u;for(u={};iscons(n);)s=car(n),n=cdr(n),l=0,Find(s,t)?l=italu_hashcode(s,t):l=hashcode_values.constant,u[l.toFixed(6)]=!0;a=0;for(r in u)hasProp.call(u,r)&&(u[r],a=a+parseFloat(r,10));return a},hash_multiplication=function(n,t){var r,a;for(r=1;iscons(n);)a=car(n),n=cdr(n),Find(a,t)&&(r=r*italu_hashcode(a,t));return r},hash_power=function(n,t,r){var a,s;if(a=hashcode_values.constant,s=hashcode_values.constexp,Find(n,r)&&(a=italu_hashcode(n,r)),Find(t,r))s=italu_hashcode(t,r);else{if(a===hashcode_values.constant)return hashcode_values.constant;isminusone(t)?s=-1:isoneovertwo(t)?s=.5:isminusoneovertwo(t)?s=-.5:equalq(t,2,1)?s=2:equalq(t,-2,1)&&(s=-2)}return Math.pow(a,s)},make_hashed_itab=function(){var n,t,r,a,s,l,u,_;for(u={},s=0,a=itab.length;s<a&&(l=itab[s],!!l);s++)scan_meta(l),n=pop(),_=cadr(n),t=italu_hashcode(_,symbol(METAX)),r=t.toFixed(6),u[r]||(u[r]=[]),u[r].push(l);return console.log("hashed_itab = 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n,t,r,a,s,l,u,_,m,g,f,x;for(n=0,t=0,a=0,u=0,u=p1.tensor.dim[0],n=tos,t=_=0,m=u;0<=m?_<m:_>m;t=0<=m?++_:--_)for(a=r=0,g=u;0<=g?r<g:r>g;a=0<=g?++r:--r)push(t===a?one:zero);for(t=s=0,f=u*u;0<=f?s<f:s>f;t=0<=f?++s:--s)push(p1.tensor.elem[t]);for(INV_decomp(u),p1=alloc_tensor(u*u),p1.tensor.ndim=2,p1.tensor.dim[0]=u,p1.tensor.dim[1]=u,t=l=0,x=u*u;0<=x?l<x:l>x;t=0<=x?++l:--l)p1.tensor.elem[t]=stack[n+t];return moveTos(tos-2*u*u),push(p1)},INV_decomp=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne;for(t=0,r=0,a=0,l=0,ne=0,t=tos-n*n,ne=t-n*n,Ce=[],r=m=0,g=n;0<=g?m<g:m>g;r=0<=g?++m:--m){if(equal(stack[t+n*r+r],zero)){for(a=s=f=r+1,x=n;(f<=x?s<x:s>x)&&equal(stack[t+n*a+r],zero);a=f<=x?++s:--s);for(a===n&&stop("inverse of singular 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t,r,a;if(n.k!==TENSOR)return 0;for(t=r=0,a=n.tensor.nelem;0<=a?r<a:r>a;t=0<=a?++r:--r)if(!isZeroAtomOrTensor(n.tensor.elem[t]))return 0;return 1},isZeroAtomOrTensor=function(n){return isZeroAtom(n)||isZeroTensor(n)},isZeroLikeOrNonZeroLikeOrUndetermined=function(n){var t;if(push(n),Eval_predicate(),t=pop(),isZeroAtomOrTensor(t))return 0;if(isNumericAtomOrTensor(t))return 1;if(push(t),zzfloat(),t=pop(),isZeroAtomOrTensor(t))return 0;if(isNumericAtomOrTensor(t))return 1;if(Find(t,imaginaryunit)){if(push(t),absValFloat(),Eval_predicate(),t=pop(),isZeroAtomOrTensor(t))return 0;if(isNumericAtomOrTensor(t))return 1}return null},isnegativenumber=function(n){switch(n.k){case NUM:if(MSIGN(n.q.a)===-1)return 1;break;case DOUBLE:if(n.d<0)return 1}return 0},ispositivenumber=function(n){switch(n.k){case NUM:if(MSIGN(n.q.a)===1)return 1;break;case DOUBLE:if(n.d>0)return 1}return 0},isplustwo=function(n){switch(n.k){case NUM:if(MEQUAL(n.q.a,2)&&MEQUAL(n.q.b,1))return 1;break;case 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"+t),t==null&&(push(n),guess(),t=pop(),pop()),ispolyfactoredorexpandedform(n,t)&&Find(n,symbol(SYMBOL_X))+Find(n,symbol(SYMBOL_Y))+Find(n,symbol(SYMBOL_Z))===1?t:0},ispolyfactoredorexpandedform=function(n,t){return ispolyfactoredorexpandedform_factor(n,t)},ispolyfactoredorexpandedform_factor=function(n,t){if(car(n)===symbol(MULTIPLY)){for(n=cdr(n);iscons(n);){if(DEBUG&&console.log("ispolyfactoredorexpandedform_factor testing "+car(n)),!ispolyfactoredorexpandedform_power(car(n),t))return DEBUG&&console.log("... tested negative:"+car(n)),0;n=cdr(n)}return 1}else return ispolyfactoredorexpandedform_power(n,t)},ispolyfactoredorexpandedform_power=function(n,t){return car(n)===symbol(POWER)?(DEBUG&&console.log("ispolyfactoredorexpandedform_power (isposint(caddr(p)) "+(isposint(caddr(n)),DEBUG?console.log("ispolyfactoredorexpandedform_power ispolyexpandedform_expr(cadr(p), x)) "+ispolyexpandedform_expr(cadr(n),t)):void 0)),isposint(caddr(n))&&ispolyexpandedform_expr(cadr(n),t)):(DEBUG&&console.log("ispolyfactoredorexpandedform_power not a power, testing if this is exp form: "+n),ispolyexpandedform_expr(n,t))},ispolyexpandedform=function(n,t){return Find(n,t)?ispolyexpandedform_expr(n,t):0},ispolyexpandedform_expr=function(n,t){if(car(n)===symbol(ADD)){for(n=cdr(n);iscons(n);){if(!ispolyexpandedform_term(car(n),t))return 0;n=cdr(n)}return 1}else return ispolyexpandedform_term(n,t)},ispolyexpandedform_term=function(n,t){if(car(n)===symbol(MULTIPLY)){for(n=cdr(n);iscons(n);){if(!ispolyexpandedform_factor(car(n),t))return 0;n=cdr(n)}return 1}else return ispolyexpandedform_factor(n,t)},ispolyexpandedform_factor=function(n,t){return equal(n,t)?1:car(n)===symbol(POWER)&&equal(cadr(n),t)?isposint(caddr(n))?1:0:Find(n,t)?0:1},isnegativeterm=function(n){return isnegativenumber(n)||car(n)===symbol(MULTIPLY)&&isnegativenumber(cadr(n))?1:0},hasNegativeRationalExponent=function(n){return car(n)===symbol(POWER)&&isrational(car(cdr(cdr(n))))&&isnegativenumber(car(cdr(n)))?(DEBUG_IS&&console.log("hasNegativeRationalExponent: "+n.toString()+" has imaginary component"),1):(DEBUG_IS&&console.log("hasNegativeRationalExponent: "+n.toString()+" has NO imaginary component"),0)},isimaginarynumberdouble=function(n){return car(n)===symbol(MULTIPLY)&&length(n)===3&&isdouble(cadr(n))&&hasNegativeRationalExponent(caddr(n))||equal(n,imaginaryunit)?1:0},isimaginarynumber=function(n){return car(n)===symbol(MULTIPLY)&&length(n)===3&&isNumericAtom(cadr(n))&&equal(caddr(n),imaginaryunit)||equal(n,imaginaryunit)||hasNegativeRationalExponent(caddr(n))?(DEBUG_IS&&console.log("isimaginarynumber: "+n.toString()+" is imaginary number"),1):(DEBUG_IS&&console.log("isimaginarynumber: "+n.toString()+" isn't an imaginary number"),0)},iscomplexnumberdouble=function(n){return car(n)===symbol(ADD)&&length(n)===3&&isdouble(cadr(n))&&isimaginarynumberdouble(caddr(n))||isimaginarynumberdouble(n)?1:0},iscomplexnumber=function(n){if(DEBUG_IS)debugger;return car(n)===symbol(ADD)&&length(n)===3&&isNumericAtom(cadr(n))&&isimaginarynumber(caddr(n))||isimaginarynumber(n)?(DEBUG&&console.log("iscomplexnumber: "+n.toString()+" is imaginary number"),1):(DEBUG&&console.log("iscomplexnumber: "+n.toString()+" is imaginary number"),0)},iseveninteger=function(n){return isinteger(n)&&n.q.a.isEven()?1:0},isnegative=function(n){return car(n)===symbol(ADD)&&isnegativeterm(cadr(n))||isnegativeterm(n)?1:0},issymbolic=function(n){if(issymbol(n))return 1;for(;iscons(n);){if(issymbolic(car(n)))return 1;n=cdr(n)}return 0},isintegerfactor=function(n){return isinteger(n)||car(n)===symbol(POWER)&&isinteger(cadr(n))&&isinteger(caddr(n))},isNumberOneOverSomething=function(n){return isfraction(n)&&MEQUAL(n.q.a.abs(),1)},isoneover=function(n){return car(n)===symbol(POWER)&&isminusone(caddr(n))},isfraction=function(n){return n.k===NUM&&!MEQUAL(n.q.b,1)},equaln=function(n,t){switch(n.k){case NUM:return MEQUAL(n.q.a,t)&&MEQUAL(n.q.b,1);case DOUBLE:return n.d===t;default:return!1}},equalq=function(n,t,r){switch(n.k){case NUM:return MEQUAL(n.q.a,t)&&MEQUAL(n.q.b,r);case DOUBLE:return n.d===t/r;default:return!1}},isoneovertwo=function(n){return equalq(n,1,2)},isminusoneovertwo=function(n){return equalq(n,-1,2)},isoneoversqrttwo=function(n){return car(n)===symbol(POWER)&&equaln(cadr(n),2)&&equalq(caddr(n),-1,2)},isminusoneoversqrttwo=function(n){return car(n)===symbol(MULTIPLY)&&equaln(cadr(n),-1)&&isoneoversqrttwo(caddr(n))&&length(n)===3},issqrtthreeovertwo=function(n){return car(n)===symbol(MULTIPLY)&&isoneovertwo(cadr(n))&&issqrtthree(caddr(n))&&length(n)===3},isminussqrtthreeovertwo=function(n){return car(n)===symbol(MULTIPLY)&&isminusoneovertwo(cadr(n))&&issqrtthree(caddr(n))&&length(n)===3},issqrtthree=function(n){return car(n)===symbol(POWER)&&equaln(cadr(n),3)&&isoneovertwo(caddr(n))},isfloating=function(n){if(n.k===DOUBLE||n===symbol(FLOATF))return 1;for(;iscons(n);){if(isfloating(car(n)))return 1;n=cdr(n)}return 0},isimaginaryunit=function(n){return equal(n,imaginaryunit)?1:0},isquarterturn=function(n){var t,r;if(r=0,t=0,car(n)!==symbol(MULTIPLY))return 0;if(equal(cadr(n),imaginaryunit))return caddr(n)!==symbol(PI)||length(n)!==3?0:2;if(!isNumericAtom(cadr(n))||!equal(caddr(n),imaginaryunit)||cadddr(n)!==symbol(PI)||length(n)!==4||(push(cadr(n)),push_integer(2),multiply(),r=pop_integer(),isNaN(r)))return 0;switch(r<1&&(t=1,r=-r),r%4){case 0:r=1;break;case 1:t?r=4:r=3;break;case 2:r=2;break;case 3:t?r=3:r=4}return r},isnpi=function(n){var t;return t=0,n===symbol(PI)?2:!(car(n)===symbol(MULTIPLY)&&isNumericAtom(cadr(n))&&caddr(n)===symbol(PI)&&length(n)===3)||(push(cadr(n)),push_integer(2),multiply(),t=pop_integer(),isNaN(t))?0:(t<0?t=4- -t%4:t=1+(t-1)%4,t)},$.isZeroAtomOrTensor=isZeroAtomOrTensor,$.isnegativenumber=isnegativenumber,$.isplusone=isplusone,$.isminusone=isminusone,$.isinteger=isinteger,$.isnonnegativeinteger=isnonnegativeinteger,$.isposint=isposint,$.isnegativeterm=isnegativeterm,$.isimaginarynumber=isimaginarynumber,$.iscomplexnumber=iscomplexnumber,$.iseveninteger=iseveninteger,$.isnegative=isnegative,$.issymbolic=issymbolic,$.isintegerfactor=isintegerfactor,$.isoneover=isoneover,$.isfraction=isfraction,$.isoneoversqrttwo=isoneoversqrttwo,$.isminusoneoversqrttwo=isminusoneoversqrttwo,$.isfloating=isfloating,$.isimaginaryunit=isimaginaryunit,$.isquarterturn=isquarterturn,$.isnpi=isnpi,Eval_isprime=function(){return push(cadr(p1)),Eval(),p1=pop(),isnonnegativeinteger(p1)&&mprime(p1.q.a)?push_integer(1):push_integer(0)},Eval_laguerre=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),push(cadddr(p1)),Eval(),p2=pop(),p2===symbol(NIL)?push_integer(0):push(p2),laguerre()},laguerre=function(){var n;if(n=0,save(),p3=pop(),p2=pop(),p1=pop(),push(p2),n=pop_integer(),n<0||isNaN(n)){push_symbol(LAGUERRE),push(p1),push(p2),push(p3),list(4),restore();return}return issymbol(p1)?laguerre2(n):(p4=p1,p1=symbol(SECRETX),laguerre2(n),p1=p4,push(symbol(SECRETX)),push(p1),subst(),Eval()),restore()},laguerre2=function(n){var t,r,a,s;for(t=0,push_integer(1),push_integer(0),p6=pop(),s=[],t=r=0,a=n;0<=a?r<a:r>a;t=0<=a?++r:--r)p5=p6,p6=pop(),push_integer(2*t+1),push(p1),subtract(),push(p3),add(),push(p6),multiply(),push_integer(t),push(p3),add(),push(p5),multiply(),subtract(),push_integer(t+1),s.push(divide());return s},Eval_lcm=function(){var n;for(p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),lcm(),n.push(p1=cdr(p1));return n},lcm=function(){var n;return n=expanding,save(),yylcm(),restore(),expanding=n},yylcm=function(){return expanding=1,p2=pop(),p1=pop(),push(p1),push(p2),gcd(),push(p1),divide(),push(p2),divide(),inverse()},Eval_leading=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),p1=pop(),p1===symbol(NIL)?guess():push(p1),leading()},leading=function(){return save(),p2=pop(),p1=pop(),push(p1),push(p2),degree(),p3=pop(),push(p1),push(p2),push(p3),power(),divide(),push(p2),filter(),restore()},Eval_legendre=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),push(cadddr(p1)),Eval(),p2=pop(),p2===symbol(NIL)?push_integer(0):push(p2),legendre()},legendre=function(){return save(),__legendre(),restore()},__legendre=function(){var n,t;if(n=0,t=0,p3=pop(),p2=pop(),p1=pop(),push(p2),t=pop_integer(),push(p3),n=pop_integer(),t<0||isNaN(t)||n<0||isNaN(n)){push_symbol(LEGENDRE),push(p1),push(p2),push(p3),list(4);return}return issymbol(p1)?__legendre2(t,n):(p4=p1,p1=symbol(SECRETX),__legendre2(t,n),p1=p4,push(symbol(SECRETX)),push(p1),subst(),Eval()),__legendre3(n)},__legendre2=function(n,t){var r,a,s,l,u,_;for(r=0,push_integer(1),push_integer(0),p6=pop(),r=s=0,l=n;0<=l?s<l:s>l;r=0<=l?++s:--s)p5=p6,p6=pop(),push_integer(2*r+1),push(p1),multiply(),push(p6),multiply(),push_integer(r),push(p5),multiply(),subtract(),push_integer(r+1),divide();for(_=[],r=a=0,u=t;0<=u?a<u:a>u;r=0<=u?++a:--a)push(p1),_.push(derivative());return _},__legendre3=function(n){if(n!==0&&(car(p1)===symbol(COS)?(push(cadr(p1)),sine(),square()):car(p1)===symbol(SIN)?(push(cadr(p1)),cosine(),square()):(push_integer(1),push(p1),square(),subtract()),push_integer(n),push_rational(1,2),multiply(),power(),multiply(),n%2))return negate()},list=function(n){var t,r,a;for(push(symbol(NIL)),a=[],t=0,r=n;0<=r?t<r:t>r;0<=r?++t:--t)a.push(cons());return a},Eval_log=function(){return push(cadr(p1)),Eval(),logarithm()},logarithm=function(){return save(),yylog(),restore()},yylog=function(){var n;if(n=0,p1=pop(),p1===symbol(E)){push_integer(1);return}if(equaln(p1,1)){push_integer(0);return}if(isnegativenumber(p1)){push(p1),negate(),logarithm(),push(imaginaryunit),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),multiply(),add();return}if(isdouble(p1)){n=Math.log(p1.d),push_double(n);return}if(isfraction(p1)){push(p1),numerator(),logarithm(),push(p1),denominator(),logarithm(),subtract();return}if(car(p1)===symbol(POWER)){push(caddr(p1)),push(cadr(p1)),logarithm(),multiply();return}if(car(p1)===symbol(MULTIPLY)){for(push_integer(0),p1=cdr(p1);iscons(p1);)push(car(p1)),logarithm(),add(),p1=cdr(p1);return}return push_symbol(LOG),push(p1),list(2)},Eval_lookup=function(){return p1=cadr(p1),!iscons(p1)&&cadr(p1).k===SYM&&(p1=get_binding(p1)),push(p1)},madd=function(n,t){return n.add(t)},msub=function(n,t){return n.subtract(t)},mgcd=function(n,t){return bigInt.gcd(n,t)},new_string=function(n){var t;return t=new U,t.k=STR,t.str=n,t},push_zero_matrix=function(n,t){return push(alloc_tensor(n*t)),stack[tos-1].tensor.ndim=2,stack[tos-1].tensor.dim[0]=n,stack[tos-1].tensor.dim[1]=t},equal=function(n,t){return cmp_expr(n,t)===0?1:0},lessp=function(n,t){return cmp_expr(n,t)<0?1:0},sign=function(n){return n<0?-1:n>0?1:0},cmp_expr=function(n,t){var r;if(r=0,n===t)return 0;if(n===symbol(NIL))return-1;if(t===symbol(NIL))return 1;if(isNumericAtom(n)&&isNumericAtom(t))return sign(compare_numbers(n,t));if(isNumericAtom(n))return-1;if(isNumericAtom(t))return 1;if(isstr(n)&&isstr(t))return sign(strcmp(n.str,t.str));if(isstr(n))return-1;if(isstr(t))return 1;if(issymbol(n)&&issymbol(t))return sign(strcmp(get_printname(n),get_printname(t)));if(issymbol(n))return-1;if(issymbol(t))return 1;if(istensor(n)&&istensor(t))return compare_tensors(n,t);if(istensor(n))return-1;if(istensor(t))return 1;for(;iscons(n)&&iscons(t);){if(r=cmp_expr(car(n),car(t)),r!==0)return r;n=cdr(n),t=cdr(t)}return iscons(t)?-1:iscons(n)?1:0},length=function(n){var t;for(t=0;iscons(n);)n=cdr(n),t++;return t},yyexpand=function(){var n;return n=expanding,expanding=1,Eval(),expanding=n},exponential=function(){return push_symbol(E),swap(),power()},square=function(){return push_integer(2),power()},sort_stack=function(n){var t,r;return t=tos-n,r=stack.slice(t,t+n),r.sort(cmp_expr),stack=stack.slice(0,t).concat(r).concat(stack.slice(t+n))},$.equal=equal,$.length=length,mmul=function(n,t){return n.multiply(t)},mdiv=function(n,t){return n.divide(t)},mmod=function(n,t){return n.mod(t)},mdivrem=function(n,t){var r;return r=n.divmod(t),[r.quotient,r.remainder]},Eval_mod=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),mod()},mod=function(){var n;if(n=0,save(),p2=pop(),p1=pop(),isZeroAtomOrTensor(p2)&&stop("mod function: divide by zero"),!isNumericAtom(p1)||!isNumericAtom(p2)){push_symbol(MOD),push(p1),push(p2),list(3),restore();return}return isdouble(p1)&&(push(p1),n=pop_integer(),isNaN(n)&&stop("mod function: cannot convert float value to integer"),push_integer(n),p1=pop()),isdouble(p2)&&(push(p2),n=pop_integer(),isNaN(n)&&stop("mod function: cannot convert float value to integer"),push_integer(n),p2=pop()),(!isinteger(p1)||!isinteger(p2))&&stop("mod function: integer arguments expected"),p3=new U,p3.k=NUM,p3.q.a=mmod(p1.q.a,p2.q.a),p3.q.b=mint(1),push(p3),restore()},mpow=function(n,t){return n.pow(t)},mprime=function(n){return n.isProbablePrime()},mroot=function(n,t){var r,a,s,l,u,_,m;for(n=n.abs(),r=0,a=0,s=0,t===0&&stop("root index is zero"),s=0;n.shiftRight(s)>0;)s++;if(s===0)return mint(0);for(s=Math.floor((s-1)/t),a=Math.floor(s/32+1),_=bigInt(a),r=l=0,u=a;0<=u?l<u:l>u;r=0<=u?++l:--l)_=_.and(bigInt(1).shiftLeft(r).not());for(;s>=0;){switch(_=_.or(bigInt(1).shiftLeft(s)),m=mpow(_,t),mcmp(m,n)){case 0:return _;case 1:_=_.and(bigInt(1).shiftLeft(s).not())}s--}return 0},DEBUG_MULTIPLY=!1,Eval_multiply=function(){var n;for(push(cadr(p1)),Eval(),p1=cddr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),multiply(),n.push(p1=cdr(p1));return n},multiply=function(){return esc_flag&&stop("escape key stop"),isNumericAtom(stack[tos-2])&&isNumericAtom(stack[tos-1])?multiply_numbers():(save(),yymultiply(),restore())},yymultiply=function(){var n,t,r,a,s,l;if(n=0,t=0,r=0,p2=pop(),p1=pop(),n=tos,isZeroAtom(p1)||isZeroAtom(p2)){evaluatingAsFloats?push_double(0):push(zero);return}if(expanding&&isadd(p1)){for(p1=cdr(p1),evaluatingAsFloats?push_double(0):push(zero);iscons(p1);)push(car(p1)),push(p2),multiply(),add(),p1=cdr(p1);return}if(expanding&&isadd(p2)){for(p2=cdr(p2),evaluatingAsFloats?push_double(0):push(zero);iscons(p2);)push(p1),push(car(p2)),multiply(),add(),p2=cdr(p2);return}if(!istensor(p1)&&istensor(p2)){push(p1),push(p2),scalar_times_tensor();return}if(istensor(p1)&&!istensor(p2)){push(p1),push(p2),tensor_times_scalar();return}for(car(p1)===symbol(MULTIPLY)?p1=cdr(p1):(push(p1),list(1),p1=pop()),car(p2)===symbol(MULTIPLY)?p2=cdr(p2):(push(p2),list(1),p2=pop()),isNumericAtom(car(p1))&&isNumericAtom(car(p2))?(push(car(p1)),push(car(p2)),multiply_numbers(),p1=cdr(p1),p2=cdr(p2)):isNumericAtom(car(p1))?(push(car(p1)),p1=cdr(p1)):isNumericAtom(car(p2))?(push(car(p2)),p2=cdr(p2)):evaluatingAsFloats?push_double(1):push(one),parse_p1(),parse_p2();iscons(p1)&&iscons(p2);){if(caar(p1)===symbol(OPERATOR)&&caar(p2)===symbol(OPERATOR)){push_symbol(OPERATOR),push(cdar(p1)),push(cdar(p2)),append(),cons(),p1=cdr(p1),p2=cdr(p2),parse_p1(),parse_p2();continue}switch(cmp_expr(p3,p4)){case-1:push(car(p1)),p1=cdr(p1),parse_p1();break;case 1:push(car(p2)),p2=cdr(p2),parse_p2();break;case 0:combine_factors(n),p1=cdr(p1),p2=cdr(p2),parse_p1(),parse_p2();break;default:stop("internal error 2")}}for(;iscons(p1);)push(car(p1)),p1=cdr(p1);for(;iscons(p2);)push(car(p2)),p2=cdr(p2);if(__normalize_radical_factors(n),expanding){for(t=a=s=n,l=tos;s<=l?a<l:a>l;t=s<=l?++a:--a)if(isadd(stack[t])){multiply_all(tos-n);return}}if(r=tos-n,r!==1){if(isrational(stack[n])&&equaln(stack[n],1)){r===2?(p7=pop(),pop(),push(p7)):(stack[n]=symbol(MULTIPLY),list(r));return}return list(r),p7=pop(),push_symbol(MULTIPLY),push(p7),cons()}},parse_p1=function(){if(p3=car(p1),p5=evaluatingAsFloats?one_as_double:one,car(p3)===symbol(POWER))return p5=caddr(p3),p3=cadr(p3)},parse_p2=function(){if(p4=car(p2),p6=evaluatingAsFloats?one_as_double:one,car(p4)===symbol(POWER))return p6=caddr(p4),p4=cadr(p4)},combine_factors=function(n){return push(p4),push(p5),push(p6),add(),power(),p7=pop(),isNumericAtom(p7)?(push(stack[n]),push(p7),multiply_numbers(),stack[n]=pop()):car(p7)===symbol(MULTIPLY)&&isNumericAtom(cadr(p7))&&cdddr(p7)===symbol(NIL)?(push(stack[n]),push(cadr(p7)),multiply_numbers(),stack[n]=pop(),push(caddr(p7))):push(p7)},multiply_noexpand=function(){var n;return n=expanding,expanding=0,multiply(),expanding=n},multiply_all=function(n){var t,r,a,s;if(r=0,n!==1){if(n===0){push(evaluatingAsFloats?one_as_double:one);return}for(t=tos-n,push(stack[t]),r=a=1,s=n;1<=s?a<s:a>s;r=1<=s?++a:--a)push(stack[t+r]),multiply();return stack[t]=pop(),moveTos(t+1)}},multiply_all_noexpand=function(n){var t;return t=expanding,expanding=0,multiply_all(n),expanding=t},divide=function(){return isNumericAtom(stack[tos-2])&&isNumericAtom(stack[tos-1])?divide_numbers():(inverse(),multiply())},inverse=function(){return isNumericAtom(stack[tos-1])?invert_number():(push_integer(-1),power())},reciprocate=function(){return inverse()},negate=function(){return isNumericAtom(stack[tos-1])?negate_number():(evaluatingAsFloats?push_double(-1):push_integer(-1),multiply())},negate_noexpand=function(){var n;return n=expanding,expanding=0,negate(),expanding=n},__normalize_radical_factors=function(n){var t,r,a,s,l,u,_,m,g,f;if(t=0,!(isplusone(stack[n])||isminusone(stack[n])||isdouble(stack[n]))){for(t=s=l=n+1,u=tos;(l<=u?s<u:s>u)&&!__is_radical_number(stack[t]);t=l<=u?++s:--s);if(t!==tos){for(save(),push(stack[n]),mp_numerator(),DEBUG_MULTIPLY&&console.log("__normalize_radical_factors numerator: "+stack[tos-1]),p1=pop(),t=r=_=n+1,m=tos;(_<=m?r<m:r>m)&&!(isplusone(p1)||isminusone(p1));t=_<=m?++r:--r)__is_radical_number(stack[t])&&(p3=cadr(stack[t]),p4=caddr(stack[t]),isnegativenumber(p4)&&(push(p1),push(p3),divide(),p5=pop(),isinteger(p5)&&(p1=p5,push_symbol(POWER),push(p3),push(evaluatingAsFloats?one_as_double:one),push(p4),add(),list(3),stack[t]=pop())));for(push(stack[n]),mp_denominator(),DEBUG_MULTIPLY&&console.log("__normalize_radical_factors denominator: "+stack[tos-1]),p2=pop(),t=a=g=n+1,f=tos;(g<=f?a<f:a>f)&&!isplusone(p2);t=g<=f?++a:--a)if(__is_radical_number(stack[t])&&(p3=cadr(stack[t]),p4=caddr(stack[t]),!isnegativenumber(p4)&&(push(p2),push(p3),divide(),p5=pop(),!!isinteger(p5)))){if(DEBUG_MULTIPLY&&console.log("__new radical p5: "+p5.toString()),DEBUG_MULTIPLY&&console.log("__new radical top stack: "+stack[tos-1]),p2=p5,push_symbol(POWER),push(p3),push(p4),DEBUG_MULTIPLY&&console.log("__new radical p3: "+p3.toString()),DEBUG_MULTIPLY&&console.log("__new radical p4: "+p4.toString()),push(one),subtract(),dontCreateNewRadicalsInDenominatorWhenEvalingMultiplication&&isinteger(p3)&&!isinteger(stack[tos-1])&&isnegativenumber(stack[tos-1])){pop(),pop(),pop(),push(p1),push(p3),divide(),p1=pop();break}DEBUG_MULTIPLY&&console.log("__new radical exponent: "+stack[tos-1]),list(3),stack[t]=pop()}return push(p1),push(p2),divide(),stack[n]=pop(),restore()}}},__is_radical_number=function(n){return car(n)===symbol(POWER)&&isNumericAtom(cadr(n))&&isfraction(caddr(n))&&!isminusone(cadr(n))},NROOTS_YMAX=101,NROOTS_DELTA=1e-6,NROOTS_EPSILON=1e-9,NROOTS_ABS=function(n){return Math.sqrt(n.r*n.r+n.i*n.i)},NROOTS_RANDOM=function(){return 4*Math.random()-2},numericRootOfPolynomial=(function(){class n{}return n.prototype.r=0,n.prototype.i=0,n}).call(this),nroots_a=new numericRootOfPolynomial,nroots_b=new numericRootOfPolynomial,nroots_x=new numericRootOfPolynomial,nroots_y=new numericRootOfPolynomial,nroots_fa=new numericRootOfPolynomial,nroots_fb=new numericRootOfPolynomial,nroots_dx=new numericRootOfPolynomial,nroots_df=new numericRootOfPolynomial,nroots_c=[],initNRoots=o=0,ref=NROOTS_YMAX;0<=ref?o<ref:o>ref;initNRoots=0<=ref?++o:--o)nroots_c[initNRoots]=new numericRootOfPolynomial;for(Eval_nroots=function(){var n,t,r,a,s,l,u,_,m;for(n=0,t=0,s=0,u=0,push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),p2=pop(),p2===symbol(NIL)?guess():push(p2),p2=pop(),p1=pop(),ispolyexpandedform(p1,p2)||stop("nroots: polynomial?"),n=tos,u=coeff(p2,p1),u>NROOTS_YMAX&&stop("nroots: degree?"),t=r=0,_=u;0<=_?r<_:r>_;t=0<=_?++r:--r)push(stack[n+t]),real(),yyfloat(),Eval(),p1=pop(),push(stack[n+t]),imag(),yyfloat(),Eval(),p2=pop(),(!isdouble(p1)||!isdouble(p2))&&stop("nroots: coefficients?"),nroots_c[t].r=p1.d,nroots_c[t].i=p2.d;for(moveTos(n),monic(u),s=a=u;a>1;s=a+=-1)findroot(s),Math.abs(nroots_a.r)<NROOTS_DELTA&&(nroots_a.r=0),Math.abs(nroots_a.i)<NROOTS_DELTA&&(nroots_a.i=0),push_double(nroots_a.r),push_double(nroots_a.i),push(imaginaryunit),multiply(),add(),NROOTS_divpoly(s);if(u=tos-n,u>1){for(sort_stack(u),p1=alloc_tensor(u),p1.tensor.ndim=1,p1.tensor.dim[0]=u,t=l=0,m=u;0<=m?l<m:l>m;t=0<=m?++l:--l)p1.tensor.elem[t]=stack[n+t];return moveTos(n),push(p1)}},monic=function(n){var t,r,a,s;for(r=0,s=0,nroots_y.r=nroots_c[n-1].r,nroots_y.i=nroots_c[n-1].i,s=nroots_y.r*nroots_y.r+nroots_y.i*nroots_y.i,r=t=0,a=n-1;0<=a?t<a:t>a;r=0<=a?++t:--t)nroots_c[r].r=(nroots_c[r].r*nroots_y.r+nroots_c[r].i*nroots_y.i)/s,nroots_c[r].i=(nroots_c[r].i*nroots_y.r-nroots_c[r].r*nroots_y.i)/s;return nroots_c[n-1].r=1,nroots_c[n-1].i=0},findroot=function(n){var t,r,a,s;if(s=0,NROOTS_ABS(nroots_c[0])<NROOTS_DELTA){nroots_a.r=0,nroots_a.i=0;return}for(t=0;t<100;++t)for(nroots_a.r=NROOTS_RANDOM(),nroots_a.i=NROOTS_RANDOM(),compute_fa(n),nroots_b.r=nroots_a.r,nroots_b.i=nroots_a.i,nroots_fb.r=nroots_fa.r,nroots_fb.i=nroots_fa.i,nroots_a.r=NROOTS_RANDOM(),nroots_a.i=NROOTS_RANDOM(),r=0;r<1e3;++r){if(compute_fa(n),a=NROOTS_ABS(nroots_fa),DEBUG&&console.log("nrabs: "+a),a<NROOTS_EPSILON)return;if(NROOTS_ABS(nroots_fa)<NROOTS_ABS(nroots_fb)&&(nroots_x.r=nroots_a.r,nroots_x.i=nroots_a.i,nroots_a.r=nroots_b.r,nroots_a.i=nroots_b.i,nroots_b.r=nroots_x.r,nroots_b.i=nroots_x.i,nroots_x.r=nroots_fa.r,nroots_x.i=nroots_fa.i,nroots_fa.r=nroots_fb.r,nroots_fa.i=nroots_fb.i,nroots_fb.r=nroots_x.r,nroots_fb.i=nroots_x.i),nroots_dx.r=nroots_b.r-nroots_a.r,nroots_dx.i=nroots_b.i-nroots_a.i,nroots_df.r=nroots_fb.r-nroots_fa.r,nroots_df.i=nroots_fb.i-nroots_fa.i,s=nroots_df.r*nroots_df.r+nroots_df.i*nroots_df.i,s===0)break;nroots_y.r=(nroots_dx.r*nroots_df.r+nroots_dx.i*nroots_df.i)/s,nroots_y.i=(nroots_dx.i*nroots_df.r-nroots_dx.r*nroots_df.i)/s,nroots_a.r=nroots_b.r-(nroots_y.r*nroots_fb.r-nroots_y.i*nroots_fb.i),nroots_a.i=nroots_b.i-(nroots_y.r*nroots_fb.i+nroots_y.i*nroots_fb.r)}return stop("nroots: convergence error")},compute_fa=function(n){var t,r,a,s,l;for(r=0,l=0,nroots_x.r=nroots_a.r,nroots_x.i=nroots_a.i,nroots_fa.r=nroots_c[0].r+nroots_c[1].r*nroots_x.r-nroots_c[1].i*nroots_x.i,nroots_fa.i=nroots_c[0].i+nroots_c[1].r*nroots_x.i+nroots_c[1].i*nroots_x.r,s=[],r=t=2,a=n;2<=a?t<a:t>a;r=2<=a?++t:--t)l=nroots_a.r*nroots_x.r-nroots_a.i*nroots_x.i,nroots_x.i=nroots_a.r*nroots_x.i+nroots_a.i*nroots_x.r,nroots_x.r=l,nroots_fa.r+=nroots_c[r].r*nroots_x.r-nroots_c[r].i*nroots_x.i,s.push(nroots_fa.i+=nroots_c[r].r*nroots_x.i+nroots_c[r].i*nroots_x.r);return s},NROOTS_divpoly=function(n){var t,r,a,s,l,u;for(a=0,a=t=s=n-1;s<=0?t<0:t>0;a=s<=0?++t:--t)nroots_c[a-1].r+=nroots_c[a].r*nroots_a.r-nroots_c[a].i*nroots_a.i,nroots_c[a-1].i+=nroots_c[a].i*nroots_a.r+nroots_c[a].r*nroots_a.i;for(NROOTS_ABS(nroots_c[0])>NROOTS_DELTA&&stop("nroots: residual error"),u=[],a=r=0,l=n-1;0<=l?r<l:r>l;a=0<=l?++r:--r)nroots_c[a].r=nroots_c[a+1].r,u.push(nroots_c[a].i=nroots_c[a+1].i);return u},Eval_numerator=function(){return push(cadr(p1)),Eval(),numerator()},numerator=function(){var n,t;if(n=0,t=pop(),car(t)===symbol(ADD)&&(push(t),rationalize(),t=pop()),car(t)===symbol(MULTIPLY)&&!isplusone(car(cdr(t)))){for(n=tos,t=cdr(t);iscons(t);)push(car(t)),numerator(),t=cdr(t);return multiply_all(tos-n)}else return isrational(t)?(push(t),mp_numerator()):car(t)===symbol(POWER)&&isnegativeterm(caddr(t))?push(one):push(t)},Eval_outer=function(){var n;for(p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),n=[];iscons(p1);)push(car(p1)),Eval(),outer(),n.push(p1=cdr(p1));return n},outer=function(){return save(),p2=pop(),p1=pop(),istensor(p1)&&istensor(p2)?yyouter():(push(p1),push(p2),istensor(p1)?tensor_times_scalar():istensor(p2)?scalar_times_tensor():multiply()),restore()},yyouter=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w;for(n=0,r=0,s=0,_=0,m=0,_=p1.tensor.ndim+p2.tensor.ndim,_>MAXDIM&&stop("outer: rank of result exceeds maximum"),m=p1.tensor.nelem*p2.tensor.nelem,p3=alloc_tensor(m),p3.tensor.ndim=_,n=t=0,g=p1.tensor.ndim;0<=g?t<g:t>g;n=0<=g?++t:--t)p3.tensor.dim[n]=p1.tensor.dim[n];for(r=n,n=a=0,f=p2.tensor.ndim;0<=f?a<f:a>f;n=0<=f?++a:--a)p3.tensor.dim[r+n]=p2.tensor.dim[n];for(s=0,n=l=0,x=p1.tensor.nelem;0<=x?l<x:l>x;n=0<=x?++l:--l)for(r=u=0,w=p2.tensor.nelem;0<=w?u<w:u>w;r=0<=w?++u:--u)push(p1.tensor.elem[n]),push(p2.tensor.elem[r]),multiply(),p3.tensor.elem[s++]=pop();return push(p3)},partition=function(){for(save(),p2=pop(),p1=pop(),push_integer(1),p3=pop(),p4=p3,p1=cdr(p1);iscons(p1);)Find(car(p1),p2)?(push(p4),push(car(p1)),multiply(),p4=pop()):(push(p3),push(car(p1)),multiply(),p3=pop()),p1=cdr(p1);return push(p3),push(p4),restore()},Eval_silentpattern=function(){return Eval_pattern(),pop(),push_symbol(NIL)},Eval_pattern=function(){var n,t,r,a,s;return iscons(cdr(p1))||stop("pattern needs at least a template and a transformed version"),n=car(cdr(p1)),r=car(cdr(cdr(p1))),r===symbol(NIL)&&stop("pattern needs at least a template and a transformed version"),iscons(cdr(cdr(p1)))?s=car(cdr(cdr(cdr(p1)))):s=symbol(NIL),equal(n,r)&&stop("recursive pattern"),a="template: "+print_list(n),a+=" tests: "+print_list(s),DEBUG&&console.log("pattern stringkey: "+a),t=userSimplificationsInStringForm.indexOf(a),t===-1?(userSimplificationsInStringForm.push(a),userSimplificationsInListForm.push(cdr(p1))):(DEBUG&&console.log("pattern already exists, replacing. "+cdr(p1)),userSimplificationsInStringForm[t]=a,userSimplificationsInListForm[t]=cdr(p1)),push_symbol(PATTERN),push(cdr(p1)),list(2)},do_clearPatterns=function(){return userSimplificationsInListForm=[],userSimplificationsInStringForm=[]},Eval_clearpatterns=function(){return do_clearPatterns(),push_symbol(NIL)},Eval_patternsinfo=function(){var n;return n=patternsinfo(),n!==""?push(new_string(n)):push_symbol(NIL)},patternsinfo=function(){var n,t,r;for(r="",n=0,t=userSimplificationsInListForm.length;n<t;n++)userSimplificationsInListForm[n],r+=userSimplificationsInListForm+`
`;return r},Eval_polar=function(){return push(cadr(p1)),Eval(),polar()},polar=function(){return evaluatingPolar++,save(),p1=pop(),push(p1),abs(),push(imaginaryunit),push(p1),arg(),multiply(),exponential(),multiply(),evaluatingPolar--,restore()},n_factor_number=0,factor_number=function(){var n;if(n=0,save(),p1=pop(),equaln(p1,0)||equaln(p1,1)||equaln(p1,-1)){push(p1),restore();return}return n_factor_number=p1.q.a,n=tos,factor_a(),tos-n>1&&(list(tos-n),push_symbol(MULTIPLY),swap(),cons()),restore()},factor_a=function(){var n,t;for(t=0,n_factor_number.isNegative()&&(n_factor_number=setSignTo(n_factor_number,1),push_integer(-1)),t=n=0;n<1e4;t=++n)if(try_kth_prime(t),n_factor_number.compare(1)===0)return;return factor_b()},try_kth_prime=function(n){var t,r,a,s;for(t=0,r=mint(primetab[n]),t=0;;){if(n_factor_number.compare(1)===0){t&&push_factor(r,t);return}if([a,s]=mdivrem(n_factor_number,r),s.isZero())t++,n_factor_number=a;else break}if(t&&push_factor(r,t),mcmp(a,r)===-1)return push_factor(n_factor_number,1),n_factor_number=mint(1)},factor_b=function(){var n,t,r,a,s,l,u;for(r=0,a=0,n=mint(1),l=mint(5),u=mint(2),r=1,a=1;;){if(mprime(n_factor_number))return push_factor(n_factor_number,1),0;for(;;){if(esc_flag&&stop("esc"),s=msub(u,l),s=setSignTo(s,1),t=mgcd(s,n_factor_number),MEQUAL(t,1)){--r===0&&(u=l,a*=2,r=a),s=mmul(l,l),l=madd(s,n),s=mmod(l,n_factor_number),l=s;continue}if(push_factor(t,1),mcmp(t,n_factor_number)===0)return-1;s=mdiv(n_factor_number,t),n_factor_number=s,s=mmod(l,n_factor_number),l=s,s=mmod(u,n_factor_number),u=s;break}}},push_factor=function(n,t){if(p1=new U,p1.k=NUM,p1.q.a=n,p1.q.b=mint(1),push(p1),t>1)return push_symbol(POWER),swap(),p1=new U,p1.k=NUM,p1.q.a=mint(t),p1.q.b=mint(1),push(p1),list(3)},DEBUG_POWER=!1,Eval_power=function(){if(DEBUG_POWER)debugger;return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),power()},power=function(){return save(),yypower(),restore()},yypower=function(){var n,t,r,a,s,l,u;if(DEBUG_POWER)debugger;if(u=0,p2=pop(),p1=pop(),a=p2,r=p1,DEBUG_POWER&&console.log("POWER: "+p1+" ^ "+p2),equal(p1,one)||isZeroAtomOrTensor(p2)){evaluatingAsFloats?push_double(1):push(one),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(equal(p2,one)){push(p1),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isminusone(p1)&&isminusone(p2)){evaluatingAsFloats?push_double(1):push(one),negate(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isminusone(p1)&&isoneovertwo(p2)){push(imaginaryunit),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isminusone(p1)&&isminusoneovertwo(p2)){push(imaginaryunit),negate(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isminusone(p1)&&!isdouble(p1)&&isrational(p2)&&!isinteger(p2)&&ispositivenumber(p2)&&!evaluatingAsFloats){DEBUG_POWER&&console.log("   power: -1 ^ rational"),DEBUG_POWER&&console.log(" trick: p2.q.a , p2.q.b "+p2.q.a+" , "+p2.q.b),p2.q.a<p2.q.b?(push_symbol(POWER),push(p1),push(p2),list(3)):(push_symbol(MULTIPLY),push(p1),push_symbol(POWER),push(p1),push_rational(p2.q.a.mod(p2.q.b),p2.q.b),list(3),list(3),DEBUG_POWER&&console.log(" trick applied : "+stack[tos-1])),rect(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isrational(p1)&&isrational(p2)){DEBUG_POWER&&console.log("   power: isrational(p1) && isrational(p2)"),push(p1),push(p2),qpow(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isNumericAtom(p1)&&isNumericAtom(p2)){DEBUG_POWER&&console.log("   power: both base and exponent are either rational or double "),DEBUG_POWER&&console.log("POWER - isNumericAtom(p1) && isNumericAtom(p2)"),push(p1),push(p2),dpow(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(istensor(p1)){DEBUG_POWER&&console.log("   power: istensor(p1) "),power_tensor(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(car(p1)===symbol(ABS)&&iseveninteger(p2)&&!isZeroAtomOrTensor(get_binding(symbol(ASSUME_REAL_VARIABLES)))){DEBUG_POWER&&console.log("   power: even power of absolute of real value "),push(cadr(p1)),push(p2),power(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(p1===symbol(E)&&car(p2)===symbol(LOG)){push(cadr(p2)),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(p1===symbol(E)&&isdouble(p2)){DEBUG_POWER&&console.log("   power: p1 == symbol(E) && isdouble(p2) "),push_double(Math.exp(p2.d)),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(p1===symbol(E)&&Find(p2,imaginaryunit)!==0&&Find(p2,symbol(PI))!==0&&!evaluatingPolar&&(push_symbol(POWER),push(p1),push(p2),list(3),DEBUG_POWER&&console.log("   power: turning complex exponential to rect: "+stack[tos-1]),rect(),t=pop(),Find(t,symbol(PI))===0)){DEBUG_POWER&&console.log("   power: turned complex exponential to rect: "+t),push(t);return}if(car(p1)===symbol(MULTIPLY)&&isinteger(p2)){for(DEBUG_POWER&&console.log("   power: (a * b) ^ c  ->  (a ^ c) * (b ^ c) "),p1=cdr(p1),push(car(p1)),push(p2),power(),p1=cdr(p1);iscons(p1);)push(car(p1)),push(p2),power(),multiply(),p1=cdr(p1);DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(l=!1,isNumericAtom(cadr(p1))&&(l=sign(compare_numbers(cadr(p1),zero))),car(p1)===symbol(POWER)&&(isinteger(p2)||l)){push(cadr(p1)),push(caddr(p1)),push(p2),multiply(),power(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(n=!1,iseveninteger(caddr(p1))&&(push(caddr(p1)),push(p2),multiply(),s=pop(),isone(s)&&(n=!0)),car(p1)===symbol(POWER)&&n){DEBUG_POWER&&console.log("   power: car(p1) == symbol(POWER) && b_isEven_and_c_isItsInverse "),push(cadr(p1)),abs(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(expanding&&isadd(p1)&&isNumericAtom(p2)&&(push(p2),u=pop_integer(),u>1&&!isNaN(u))){DEBUG_POWER&&console.log("   power: expanding && isadd(p1) && isNumericAtom(p2) "),power_sum(u),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(trigmode===1&&car(p1)===symbol(SIN)&&iseveninteger(p2)){DEBUG_POWER&&console.log("   power: trigmode == 1 && car(p1) == symbol(SIN) && iseveninteger(p2) "),push_integer(1),push(cadr(p1)),cosine(),push_integer(2),power(),subtract(),push(p2),push_rational(1,2),multiply(),power(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(trigmode===2&&car(p1)===symbol(COS)&&iseveninteger(p2)){DEBUG_POWER&&console.log("   power: trigmode == 2 && car(p1) == symbol(COS) && iseveninteger(p2) "),push_integer(1),push(cadr(p1)),sine(),push_integer(2),power(),subtract(),push(p2),push_rational(1,2),multiply(),power(),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(iscomplexnumber(p1)){if(DEBUG_POWER&&console.log(" power - handling the case (a + ib) ^ n"),isinteger(p2)){push(p1),conjugate(),p3=pop(),push(p3),push(p3),push(p1),multiply(),divide(),isone(p2)||(push(p2),negate(),power()),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}if(isNumericAtom(p2)){push(p1),abs(),push(p2),power(),push_integer(-1),push(p1),arg(),push(p2),multiply(),evaluatingAsFloats||iscomplexnumberdouble(p1)&&isdouble(p2)?push_double(Math.PI):push(symbol(PI)),divide(),power(),multiply(),avoidCalculatingPowersIntoArctans&&Find(stack[tos-1],symbol(ARCTAN))&&(pop(),push_symbol(POWER),push(p1),push(p2),list(3)),DEBUG_POWER&&console.log("   power of "+r+" ^ "+a+": "+stack[tos-1]);return}}if(simplify_polar()){DEBUG_POWER&&console.log("   power: using simplify_polar");return}if(DEBUG_POWER&&console.log("   power: nothing can be done "),push_symbol(POWER),push(p1),push(p2),list(3),DEBUG_POWER)return console.log("   power of "+r+" ^ "+a+": "+stack[tos-1])},power_sum=function(n){var t,r,a,s,l,u,_,m,g,f;for(t=[],r=0,s=0,u=0,u=length(p1)-1,push_frame(u*(n+1)),p1=cdr(p1),r=a=0,m=u;0<=m?a<m:a>m;r=0<=m?++a:--a){for(s=l=0,g=n;0<=g?l<=g:l>=g;s=0<=g?++l:--l)push(car(p1)),push_integer(s),power(),stack[frame+r*(n+1)+s]=pop();p1=cdr(p1)}for(push_integer(n),factorial(),p1=pop(),r=_=0,f=u;0<=f?_<f:_>f;r=0<=f?++_:--_)t[r]=0;return push(zero),multinomial_sum(u,n,t,0,n),pop_frame(u*(n+1))},multinomial_sum=function(n,t,r,a,s){var l,u,_,m,g,f,x;if(u=0,a<n-1){for(u=l=0,g=s;0<=g?l<=g:l>=g;u=0<=g?++l:--l)r[a]=u,multinomial_sum(n,t,r,a+1,s-u);return}for(r[a]=s,push(p1),u=_=0,f=n;0<=f?_<f:_>f;u=0<=f?++_:--_)push_integer(r[u]),factorial(),divide();for(u=m=0,x=n;0<=x?m<x:m>x;u=0<=x?++m:--m)push(stack[frame+u*(t+1)+r[u]]),multiply();return add()},simplify_polar=function(){var n;switch(n=0,n=isquarterturn(p2),n){case 0:break;case 1:return push_integer(1),1;case 2:return push_integer(-1),1;case 3:return push(imaginaryunit),1;case 4:return push(imaginaryunit),negate(),1}if(car(p2)===symbol(ADD)){for(p3=cdr(p2);iscons(p3)&&(n=isquarterturn(car(p3)),!n);)p3=cdr(p3);switch(n){case 0:return 0;case 1:push_integer(1);break;case 2:push_integer(-1);break;case 3:push(imaginaryunit);break;case 4:push(imaginaryunit),negate()}return push(p2),push(car(p3)),subtract(),exponential(),multiply(),1}return 0},Eval_prime=function(){return push(cadr(p1)),Eval(),prime()},prime=function(){var n;return n=0,n=pop_integer(),(n<1||n>MAXPRIMETAB)&&stop("prime: Argument out of range."),n=primetab[n-1],push_integer(n)},power_str="^",codeGen=!1,Eval_print=function(){return stringsEmittedByUserPrintouts+=_print(cdr(p1),printMode),push(symbol(NIL))},Eval_print2dascii=function(){return stringsEmittedByUserPrintouts+=_print(cdr(p1),PRINTMODE_2DASCII),push(symbol(NIL))},Eval_printcomputer=function(){return stringsEmittedByUserPrintouts+=_print(cdr(p1),PRINTMODE_COMPUTER),push(symbol(NIL))},Eval_printlatex=function(){return stringsEmittedByUserPrintouts+=_print(cdr(p1),PRINTMODE_LATEX),push(symbol(NIL))},Eval_printhuman=function(){var n;return n=test_flag,test_flag=0,stringsEmittedByUserPrintouts+=_print(cdr(p1),PRINTMODE_HUMAN),test_flag=n,push(symbol(NIL))},Eval_printlist=function(){var n;return n=_print(cdr(p1),PRINTMODE_LIST),stringsEmittedByUserPrintouts+=n,push(symbol(NIL))},_print=function(n,t){var r,a;for(r="";iscons(n);)push(car(n)),Eval(),p2=pop(),a=printMode,t===PRINTMODE_COMPUTER?(printMode=PRINTMODE_COMPUTER,r=printline(p2),rememberPrint(r,LAST_FULL_PRINT)):t===PRINTMODE_HUMAN?(printMode=PRINTMODE_HUMAN,r=printline(p2),rememberPrint(r,LAST_PLAIN_PRINT)):t===PRINTMODE_2DASCII?(printMode=PRINTMODE_2DASCII,r=print2dascii(p2),rememberPrint(r,LAST_2DASCII_PRINT)):t===PRINTMODE_LATEX?(printMode=PRINTMODE_LATEX,r=printline(p2),rememberPrint(r,LAST_LATEX_PRINT)):t===PRINTMODE_LIST&&(printMode=PRINTMODE_LIST,r=print_list(p2),rememberPrint(r,LAST_LIST_PRINT)),printMode=a,n=cdr(n);return DEBUG&&console.log("emttedString from display: "+stringsEmittedByUserPrintouts),r},rememberPrint=function(n,t){var r;return scan('"'+n+'"'),r=pop(),set_binding(symbol(t),r)},print_str=function(n){return DEBUG&&console.log("emttedString from print_str: "+stringsEmittedByUserPrintouts),n},print_char=function(n){return n},collectLatexStringFromReturnValue=function(n){var t,r,a;return t=printMode,printMode=PRINTMODE_LATEX,r=codeGen,codeGen=!1,a=print_expr(n),a=a.replace(/_/g,"\\_"),printMode=t,codeGen=r,DEBUG&&console.log("emttedString from collectLatexStringFromReturnValue: "+stringsEmittedByUserPrintouts),a},printline=function(n){var t;return t="",t+=print_expr(n),t},print_base_of_denom=function(n){var t;return t="",isfraction(n)||car(n)===symbol(ADD)||car(n)===symbol(MULTIPLY)||car(n)===symbol(POWER)||lessp(n,zero)?(t+=print_char("("),t+=print_expr(n),t+=print_char(")")):t+=print_expr(n),t},print_expo_of_denom=function(n){var t;return t="",isfraction(n)||car(n)===symbol(ADD)||car(n)===symbol(MULTIPLY)||car(n)===symbol(POWER)?(t+=print_char("("),t+=print_expr(n),t+=print_char(")")):t+=print_expr(n),t},print_denom=function(n,t){var r;return r="",save(),p1=cadr(n),p2=caddr(n),isminusone(p2)?(r+=print_base_of_denom(p1),restore(),r):(t===1&&(r+=print_char("(")),push(p2),negate(),p2=pop(),r+=print_power(p1,p2),t===1&&(r+=print_char(")")),restore(),r)},print_a_over_b=function(n){var t,r,a;for(t="",flag=0,a=0,r=0,save(),a=0,r=0,p1=cdr(n),p2=car(p1),isrational(p2)?(push(p2),mp_numerator(),absval(),p3=pop(),push(p2),mp_denominator(),p4=pop(),isplusone(p3)||a++,isplusone(p4)||r++,p1=cdr(p1)):(p3=one,p4=one);iscons(p1);)p2=car(p1),is_denominator(p2)?r++:a++,p1=cdr(p1);if(printMode===PRINTMODE_LATEX&&(t+=print_str("\\frac{")),a===0)t+=print_char("1");else for(flag=0,p1=cdr(n),isrational(car(p1))&&(p1=cdr(p1)),isplusone(p3)||(t+=print_factor(p3),flag=1);iscons(p1);)p2=car(p1),is_denominator(p2)||(flag&&(t+=print_multiply_sign()),t+=print_factor(p2),flag=1),p1=cdr(p1);for(printMode===PRINTMODE_LATEX?t+=print_str("}{"):printMode===PRINTMODE_HUMAN&&!test_flag?t+=print_str(" / "):t+=print_str("/"),r>1&&printMode!==PRINTMODE_LATEX&&(t+=print_char("(")),flag=0,p1=cdr(n),isrational(car(p1))&&(p1=cdr(p1)),isplusone(p4)||(t+=print_factor(p4),flag=1);iscons(p1);)p2=car(p1),is_denominator(p2)&&(flag&&(t+=print_multiply_sign()),t+=print_denom(p2,r),flag=1),p1=cdr(p1);return r>1&&printMode!==PRINTMODE_LATEX&&(t+=print_char(")")),printMode===PRINTMODE_LATEX&&(t+=print_str("}")),restore(),t},print_expr=function(n){var t;if(t="",isadd(n))for(n=cdr(n),sign_of_term(car(n))==="-"&&(t+=print_str("-")),t+=print_term(car(n)),n=cdr(n);iscons(n);)sign_of_term(car(n))==="+"?printMode===PRINTMODE_HUMAN&&!test_flag?t+=print_str(" + "):t+=print_str("+"):printMode===PRINTMODE_HUMAN&&!test_flag?t+=print_str(" - "):t+=print_str("-"),t+=print_term(car(n)),n=cdr(n);else sign_of_term(n)==="-"&&(t+=print_str("-")),t+=print_term(n);return t},sign_of_term=function(n){var t;return t="",car(n)===symbol(MULTIPLY)&&isNumericAtom(cadr(n))&&lessp(cadr(n),zero)||isNumericAtom(n)&&lessp(n,zero)?t+="-":t+="+",t},print_term=function(n){var t,r,a,s,l;if(t="",car(n)===symbol(MULTIPLY)&&any_denominators(n))return t+=print_a_over_b(n),t;if(car(n)===symbol(MULTIPLY)){for(n=cdr(n),isminusone(car(n))&&(n=cdr(n)),l=!1,isNumericAtom(car(n))&&(l=!0),a=!1,printMode===PRINTMODE_LATEX&&iscons(cdr(n))&&isNumberOneOverSomething(car(n))&&(a=!0,r=car(n).q.b.toString()),a?(s=t,t=""):t+=print_factor(car(n)),n=cdr(n);iscons(n);)printMode===PRINTMODE_LATEX&&l&&caar(n)===symbol(POWER)&&isNumericAtom(car(cdr(car(n))))&&(isfraction(car(cdr(cdr(car(n)))))||(t+=" \\cdot ")),t+=print_multiply_sign(),t+=print_factor(car(n),!1,!0),l=!1,isNumericAtom(car(n))&&(l=!0),n=cdr(n);a&&(t=s+"\\frac{"+t+"}{"+r+"}")}else t+=print_factor(n);return t},print_subexpr=function(n){var t;return t="",t+=print_char("("),t+=print_expr(n),t+=print_char(")"),t},print_factorial_function=function(n){var t;return t="",n=cadr(n),isfraction(n)||car(n)===symbol(ADD)||car(n)===symbol(MULTIPLY)||car(n)===symbol(POWER)||car(n)===symbol(FACTORIAL)?t+=print_subexpr(n):t+=print_expr(n),t+=print_char("!"),t},print_ABS_latex=function(n){var t;return t="",t+=print_str("\\left |"),t+=print_expr(cadr(n)),t+=print_str(" \\right |"),t},print_BINOMIAL_latex=function(n){var t;return t="",t+=print_str("\\binom{"),t+=print_expr(cadr(n)),t+=print_str("}{"),t+=print_expr(caddr(n)),t+=print_str("} "),t},print_DOT_latex=function(n){var t;return t="",t+=print_expr(cadr(n)),t+=print_str(" \\cdot "),t+=print_expr(caddr(n)),t},print_DOT_codegen=function(n){var t;return t="dot(",t+=print_expr(cadr(n)),t+=", ",t+=print_expr(caddr(n)),t+=")",t},print_SIN_codegen=function(n){var t;return t="Math.sin(",t+=print_expr(cadr(n)),t+=")",t},print_COS_codegen=function(n){var t;return t="Math.cos(",t+=print_expr(cadr(n)),t+=")",t},print_TAN_codegen=function(n){var t;return t="Math.tan(",t+=print_expr(cadr(n)),t+=")",t},print_ARCSIN_codegen=function(n){var t;return t="Math.asin(",t+=print_expr(cadr(n)),t+=")",t},print_ARCCOS_codegen=function(n){var t;return t="Math.acos(",t+=print_expr(cadr(n)),t+=")",t},print_ARCTAN_codegen=function(n){var t;return t="Math.atan(",t+=print_expr(cadr(n)),t+=")",t},print_SQRT_latex=function(n){var t;return t="",t+=print_str("\\sqrt{"),t+=print_expr(cadr(n)),t+=print_str("} "),t},print_TRANSPOSE_latex=function(n){var t;return t="",t+=print_str("{"),iscons(cadr(n))&&(t+=print_str("(")),t+=print_expr(cadr(n)),iscons(cadr(n))&&(t+=print_str(")")),t+=print_str("}"),t+=print_str("^T"),t},print_TRANSPOSE_codegen=function(n){var t;return t="",t+=print_str("transpose("),t+=print_expr(cadr(n)),t+=print_str(")"),t},print_UNIT_codegen=function(n){var t;return t="",t+=print_str("identity("),t+=print_expr(cadr(n)),t+=print_str(")"),t},print_INV_latex=function(n){var t;return t="",t+=print_str("{"),iscons(cadr(n))&&(t+=print_str("(")),t+=print_expr(cadr(n)),iscons(cadr(n))&&(t+=print_str(")")),t+=print_str("}"),t+=print_str("^{-1}"),t},print_INV_codegen=function(n){var t;return t="",t+=print_str("inv("),t+=print_expr(cadr(n)),t+=print_str(")"),t},print_DEFINT_latex=function(n){var t,r,a,s,l,u,_,m,g;for(t="",r=car(cdr(n)),n=cdr(n),u=n,l=0;iscons(cdr(cdr(n)));)l++,m=cdr(cdr(n)),t+=print_str("\\int^{"),t+=print_expr(car(cdr(m))),t+=print_str("}_{"),t+=print_expr(car(m)),t+=print_str("} \\! "),n=cdr(m);for(t+=print_expr(r),t+=print_str(" \\,"),n=u,a=s=1,_=l;1<=_?s<=_:s>=_;a=1<=_?++s:--s)g=cdr(n),t+=print_str(" \\mathrm{d} "),t+=print_expr(car(g)),a<l&&(t+=print_str(" \\, ")),n=cdr(cdr(g));return t},print_tensor=function(n){var t;return t="",t+=print_tensor_inner(n,0,0)[1],t},print_tensor_inner=function(n,t,r){var a,s,l,u,_,m,g;if(a="",a+=print_str("["),t<n.tensor.ndim-1)for(s=l=0,_=n.tensor.dim[t];0<=_?l<_:l>_;s=0<=_?++l:--l)[r,g]=print_tensor_inner(n,t+1,r),a+=g,s!==n.tensor.dim[t]-1&&(a+=print_str(","));else for(s=u=0,m=n.tensor.dim[t];0<=m?u<m:u>m;s=0<=m?++u:--u)a+=print_expr(n.tensor.elem[r]),s!==n.tensor.dim[t]-1&&(a+=print_str(",")),r++;return a+=print_str("]"),[r,a]},print_tensor_latex=function(n){var t;return t="",n.tensor.ndim<=2&&(t+=print_tensor_inner_latex(!0,n,0,0)[1]),t},print_tensor_inner_latex=function(n,t,r,a){var s,l,u,_,m,g,f;if(s="",n&&(s+="\\begin{bmatrix} "),r<t.tensor.ndim-1)for(l=u=0,m=t.tensor.dim[r];0<=m?u<m:u>m;l=0<=m?++u:--u)[a,f]=print_tensor_inner_latex(0,t,r+1,a),s+=f,l!==t.tensor.dim[r]-1&&(s+=print_str(" \\\\ "));else for(l=_=0,g=t.tensor.dim[r];0<=g?_<g:_>g;l=0<=g?++_:--_)s+=print_expr(t.tensor.elem[a]),l!==t.tensor.dim[r]-1&&(s+=print_str(" & ")),a++;return n&&(s+=" \\end{bmatrix}"),[a,s]},print_SUM_latex=function(n){var t;return t="\\sum_{",t+=print_expr(caddr(n)),t+="=",t+=print_expr(cadddr(n)),t+="}^{",t+=print_expr(caddddr(n)),t+="}{",t+=print_expr(cadr(n)),t+="}",t},print_SUM_codegen=function(n){var t,r,a,s,l;return r=cadr(n),l=caddr(n),a=cadddr(n),s=caddddr(n),t="(function(){ var "+l+";  var holderSum = 0;  var lowerlimit = "+print_expr(a)+";  var upperlimit = "+print_expr(s)+";  for ("+l+" = lowerlimit; "+l+" < upperlimit; "+l+"++) {    holderSum += "+print_expr(r)+"; }  return holderSum;})()",t},print_TEST_latex=function(n){var t;for(t="\\left\\{ \\begin{array}{ll}",n=cdr(n);iscons(n);){if(cdr(n)===symbol(NIL)){t+="{",t+=print_expr(car(n)),t+="} & otherwise ",t+=" \\\\\\\\";break}t+="{",t+=print_expr(cadr(n)),t+="} & if & ",t+=print_expr(car(n)),t+=" \\\\\\\\",n=cddr(n)}return t=t.substring(0,t.length-4),t+="\\end{array} \\right."},print_TEST_codegen=function(n){var t,r;for(t="(function(){",n=cdr(n),r=0;iscons(n);){if(cdr(n)===symbol(NIL)){t+="else {",t+="return ("+print_expr(car(n))+");",t+="}";break}r&&(t+=" else "),t+="if ("+print_expr(car(n))+"){",t+="return ("+print_expr(cadr(n))+");",t+="}",r++,n=cddr(n)}return t+="})()",t},print_TESTLT_latex=function(n){var t;return t="{",t+=print_expr(cadr(n)),t+="}",t+=" < ",t+="{",t+=print_expr(caddr(n)),t+="}"},print_TESTLE_latex=function(n){var t;return t="{",t+=print_expr(cadr(n)),t+="}",t+=" \\leq ",t+="{",t+=print_expr(caddr(n)),t+="}"},print_TESTGT_latex=function(n){var t;return t="{",t+=print_expr(cadr(n)),t+="}",t+=" > ",t+="{",t+=print_expr(caddr(n)),t+="}"},print_TESTGE_latex=function(n){var t;return t="{",t+=print_expr(cadr(n)),t+="}",t+=" \\geq ",t+="{",t+=print_expr(caddr(n)),t+="}"},print_TESTEQ_latex=function(n){var t;return t="{",t+=print_expr(cadr(n)),t+="}",t+=" = ",t+="{",t+=print_expr(caddr(n)),t+="}"},print_FOR_codegen=function(n){var t,r,a,s,l;return r=cadr(n),l=caddr(n),a=cadddr(n),s=caddddr(n),t="(function(){ var "+l+";  var lowerlimit = "+print_expr(a)+";  var upperlimit = "+print_expr(s)+";  for ("+l+" = lowerlimit; "+l+" < upperlimit; "+l+"++) {    "+print_expr(r)+" } })()",t},print_DO_codegen=function(n){var t;for(t="",n=cdr(n);iscons(n);)t+=print_expr(car(n)),n=cdr(n);return t},print_SETQ_codegen=function(n){var t;return t="",t+=print_expr(cadr(n)),t+=" = ",t+=print_expr(caddr(n)),t+="; ",t},print_PRODUCT_latex=function(n){var t;return t="\\prod_{",t+=print_expr(caddr(n)),t+="=",t+=print_expr(cadddr(n)),t+="}^{",t+=print_expr(caddddr(n)),t+="}{",t+=print_expr(cadr(n)),t+="}",t},print_PRODUCT_codegen=function(n){var t,r,a,s,l;return r=cadr(n),l=caddr(n),a=cadddr(n),s=caddddr(n),t="(function(){ var "+l+";  var holderProduct = 1;  var lowerlimit = "+print_expr(a)+";  var upperlimit = "+print_expr(s)+";  for ("+l+" = lowerlimit; "+l+" < upperlimit; "+l+"++) {    holderProduct *= "+print_expr(r)+"; }  return holderProduct;})()",t},print_power=function(n,t){var r,a,s,l;if(r="",DEBUG&&console.log("power base: "+n+"  exponent: "+t),isoneovertwo(t))if(equaln(n,2)){if(codeGen)return r+=print_str("Math.SQRT2"),r}else{if(printMode===PRINTMODE_LATEX)return r+=print_str("\\sqrt{"),r+=print_expr(n),r+=print_str("}"),r;if(codeGen)return r+=print_str("Math.sqrt("),r+=print_expr(n),r+=print_str(")"),r}if(equaln(get_binding(symbol(PRINT_LEAVE_E_ALONE)),1)&&n===symbol(E))return codeGen?(r+=print_str("Math.exp("),r+=print_expo_of_denom(t),r+=print_str(")"),r):(printMode===PRINTMODE_LATEX?(r+=print_str("e^{"),r+=print_expr(t),r+=print_str("}")):(r+=print_str("exp("),r+=print_expr(t),r+=print_str(")")),r);if(codeGen)return r+=print_str("Math.pow("),r+=print_base_of_denom(n),r+=print_str(", "),r+=print_expo_of_denom(t),r+=print_str(")"),r;if(equaln(get_binding(symbol(PRINT_LEAVE_X_ALONE)),0)||n.printname!=="x"){if(n!==symbol(E)){if(isminusone(t))return printMode===PRINTMODE_LATEX?r+=print_str("\\frac{1}{"):printMode===PRINTMODE_HUMAN&&!test_flag?r+=print_str("1 / "):r+=print_str("1/"),iscons(n)&&printMode!==PRINTMODE_LATEX?(r+=print_str("("),r+=print_expr(n),r+=print_str(")")):r+=print_expr(n),printMode===PRINTMODE_LATEX&&(r+=print_str("}")),r;if(isnegativeterm(t))return printMode===PRINTMODE_LATEX?r+=print_str("\\frac{1}{"):printMode===PRINTMODE_HUMAN&&!test_flag?r+=print_str("1 / "):r+=print_str("1/"),push(t),push_integer(-1),multiply(),s=pop(),iscons(n)&&printMode!==PRINTMODE_LATEX?(r+=print_str("("),r+=print_power(n,s),r+=print_str(")")):r+=print_power(n,s),printMode===PRINTMODE_LATEX&&(r+=print_str("}")),r}if(isfraction(t)&&printMode===PRINTMODE_LATEX)return r+=print_str("\\sqrt"),push(t),denominator(),a=pop(),isplustwo(a)||(r+=print_str("["),r+=print_expr(a),r+=print_str("]")),r+=print_str("{"),push(t),numerator(),l=pop(),t=l,r+=print_power(n,t),r+=print_str("}"),r}return printMode===PRINTMODE_LATEX&&isplusone(t)?r+=print_expr(n):(isadd(n)||isnegativenumber(n)?(r+=print_str("("),r+=print_expr(n),r+=print_str(")")):car(n)===symbol(MULTIPLY)||car(n)===symbol(POWER)?(printMode!==PRINTMODE_LATEX&&(r+=print_str("(")),r+=print_factor(n,!0),printMode!==PRINTMODE_LATEX&&(r+=print_str(")"))):isNumericAtom(n)&&(lessp(n,zero)||isfraction(n))?(r+=print_str("("),r+=print_factor(n),r+=print_str(")")):r+=print_factor(n),printMode===PRINTMODE_HUMAN&&!test_flag?r+=print_str(power_str):r+=print_str("^"),printMode===PRINTMODE_LATEX?print_expr(t).length>1?(r+=print_str("{"),r+=print_expr(t),r+=print_str("}")):r+=print_expr(t):iscons(t)||isfraction(t)||isNumericAtom(t)&&lessp(t,zero)?(r+=print_str("("),r+=print_expr(t),r+=print_str(")")):r+=print_factor(t)),r},print_index_function=function(n){var t;if(t="",n=cdr(n),caar(n)===symbol(ADD)||caar(n)===symbol(MULTIPLY)||caar(n)===symbol(POWER)||caar(n)===symbol(FACTORIAL)?t+=print_subexpr(car(n)):t+=print_expr(car(n)),t+=print_str("["),n=cdr(n),iscons(n))for(t+=print_expr(car(n)),n=cdr(n);iscons(n);)t+=print_str(","),t+=print_expr(car(n)),n=cdr(n);return t+=print_str("]"),t},print_factor=function(n,t,r){var a,s,l,u,_,m;if(a="",isNumericAtom(n))return r&&lessp(n,zero)&&(a+="("),a+=print_number(n,r),r&&lessp(n,zero)&&(a+=")"),a;if(isstr(n))return a+=print_str('"'),a+=print_str(n.str),a+=print_str('"'),a;if(istensor(n))return printMode===PRINTMODE_LATEX?a+=print_tensor_latex(n):a+=print_tensor(n),a;if(car(n)===symbol(MULTIPLY))return t||(sign_of_term(n)==="-"||printMode!==PRINTMODE_LATEX)&&(printMode===PRINTMODE_LATEX?a+=print_str(" \\left ("):a+=print_str("(")),a+=print_expr(n),t||(sign_of_term(n)==="-"||printMode!==PRINTMODE_LATEX)&&(printMode===PRINTMODE_LATEX?a+=print_str(" \\right ) "):a+=print_str(")")),a;if(isadd(n))return t||(a+=print_str("(")),a+=print_expr(n),t||(a+=print_str(")")),a;if(car(n)===symbol(POWER))return s=cadr(n),l=caddr(n),a+=print_power(s,l),a;if(car(n)===symbol(FUNCTION))return u=cadr(n),codeGen||(_=caddr(n),a+=print_str("function "),DEBUG&&console.log("emittedString from print_factor "+stringsEmittedByUserPrintouts),m=print_list(_),a+=m,a+=print_str(" -> ")),a+=print_expr(u),a;if(car(n)===symbol(PATTERN))return a+=print_expr(caadr(n)),printMode===PRINTMODE_LATEX?a+=print_str(" \\rightarrow "):printMode===PRINTMODE_HUMAN&&!test_flag?a+=print_str(" -> "):a+=print_str("->"),a+=print_expr(car(cdr(cadr(n)))),a;if(car(n)===symbol(INDEX)&&issymbol(cadr(n)))return a+=print_index_function(n),a;if(car(n)===symbol(FACTORIAL))return a+=print_factorial_function(n),a;if(car(n)===symbol(ABS)&&printMode===PRINTMODE_LATEX)return a+=print_ABS_latex(n),a;if(car(n)===symbol(SQRT)&&printMode===PRINTMODE_LATEX)return a+=print_SQRT_latex(n),a;if(car(n)===symbol(TRANSPOSE)){if(printMode===PRINTMODE_LATEX)return a+=print_TRANSPOSE_latex(n),a;if(codeGen)return a+=print_TRANSPOSE_codegen(n),a}else if(car(n)===symbol(UNIT)){if(codeGen)return a+=print_UNIT_codegen(n),a}else if(car(n)===symbol(INV)){if(printMode===PRINTMODE_LATEX)return a+=print_INV_latex(n),a;if(codeGen)return a+=print_INV_codegen(n),a}else{if(car(n)===symbol(BINOMIAL)&&printMode===PRINTMODE_LATEX)return a+=print_BINOMIAL_latex(n),a;if(car(n)===symbol(DEFINT)&&printMode===PRINTMODE_LATEX)return a+=print_DEFINT_latex(n),a;if(isinnerordot(n)){if(printMode===PRINTMODE_LATEX)return a+=print_DOT_latex(n),a;if(codeGen)return a+=print_DOT_codegen(n),a}else if(car(n)===symbol(SIN)){if(codeGen)return a+=print_SIN_codegen(n),a}else if(car(n)===symbol(COS)){if(codeGen)return a+=print_COS_codegen(n),a}else if(car(n)===symbol(TAN)){if(codeGen)return a+=print_TAN_codegen(n),a}else if(car(n)===symbol(ARCSIN)){if(codeGen)return a+=print_ARCSIN_codegen(n),a}else if(car(n)===symbol(ARCCOS)){if(codeGen)return a+=print_ARCCOS_codegen(n),a}else if(car(n)===symbol(ARCTAN)){if(codeGen)return a+=print_ARCTAN_codegen(n),a}else if(car(n)===symbol(SUM)){if(printMode===PRINTMODE_LATEX)return a+=print_SUM_latex(n),a;if(codeGen)return a+=print_SUM_codegen(n),a}else if(car(n)===symbol(PRODUCT)){if(printMode===PRINTMODE_LATEX)return a+=print_PRODUCT_latex(n),a;if(codeGen)return a+=print_PRODUCT_codegen(n),a}else if(car(n)===symbol(FOR)){if(codeGen)return a+=print_FOR_codegen(n),a}else if(car(n)===symbol(DO)){if(codeGen)return a+=print_DO_codegen(n),a}else if(car(n)===symbol(TEST)){if(codeGen)return a+=print_TEST_codegen(n),a;if(printMode===PRINTMODE_LATEX)return a+=print_TEST_latex(n),a}else if(car(n)===symbol(TESTLT)){if(codeGen)return a+="(("+print_expr(cadr(n))+") < ("+print_expr(caddr(n))+"))",a;if(printMode===PRINTMODE_LATEX)return a+=print_TESTLT_latex(n),a}else if(car(n)===symbol(TESTLE)){if(codeGen)return a+="(("+print_expr(cadr(n))+") <= ("+print_expr(caddr(n))+"))",a;if(printMode===PRINTMODE_LATEX)return a+=print_TESTLE_latex(n),a}else if(car(n)===symbol(TESTGT)){if(codeGen)return a+="(("+print_expr(cadr(n))+") > ("+print_expr(caddr(n))+"))",a;if(printMode===PRINTMODE_LATEX)return a+=print_TESTGT_latex(n),a}else if(car(n)===symbol(TESTGE)){if(codeGen)return a+="(("+print_expr(cadr(n))+") >= ("+print_expr(caddr(n))+"))",a;if(printMode===PRINTMODE_LATEX)return a+=print_TESTGE_latex(n),a}else if(car(n)===symbol(TESTEQ)){if(codeGen)return a+="(("+print_expr(cadr(n))+") === ("+print_expr(caddr(n))+"))",a;if(printMode===PRINTMODE_LATEX)return a+=print_TESTEQ_latex(n),a}else if(car(n)===symbol(FLOOR)){if(codeGen)return a+="Math.floor("+print_expr(cadr(n))+")",a;if(printMode===PRINTMODE_LATEX)return a+=" \\lfloor {"+print_expr(cadr(n))+"} \\rfloor ",a}else if(car(n)===symbol(CEILING)){if(codeGen)return a+="Math.ceiling("+print_expr(cadr(n))+")",a;if(printMode===PRINTMODE_LATEX)return a+=" \\lceil {"+print_expr(cadr(n))+"} \\rceil ",a}else if(car(n)===symbol(ROUND)){if(codeGen)return a+="Math.round("+print_expr(cadr(n))+")",a}else if(car(n)===symbol(SETQ))return codeGen?(a+=print_SETQ_codegen(n),a):(a+=print_expr(cadr(n)),a+=print_str("="),a+=print_expr(caddr(n)),a)}if(iscons(n)){if(a+=print_factor(car(n)),n=cdr(n),t||(a+=print_str("(")),iscons(n))for(a+=print_expr(car(n)),n=cdr(n);iscons(n);)a+=print_str(","),a+=print_expr(car(n)),n=cdr(n);return t||(a+=print_str(")")),a}return n===symbol(DERIVATIVE)?a+=print_char("d"):n===symbol(E)?codeGen?a+=print_str("Math.E"):a+=print_str("e"):n===symbol(PI)?printMode===PRINTMODE_LATEX?a+=print_str("\\pi"):a+=print_str("pi"):a+=print_str(get_printname(n)),a},print_list=function(n){var t;switch(t="",n.k){case CONS:if(t+="(",t+=print_list(car(n)),n===cdr(n)&&n!==symbol(NIL)){console.log("oh no recursive!");debugger}for(n=cdr(n);iscons(n);)if(t+=" ",t+=print_list(car(n)),n=cdr(n),n===cdr(n)&&n!==symbol(NIL)){console.log("oh no recursive!");debugger}n!==symbol(NIL)&&(t+=" . ",t+=print_list(n)),t+=")";break;case STR:t+=n.str;break;case NUM:case DOUBLE:t+=print_number(n,!0);break;case SYM:t+=get_printname(n);break;default:t+="<tensor>"}return t},print_multiply_sign=function(){var n;if(n="",printMode===PRINTMODE_LATEX)if(printMode===PRINTMODE_HUMAN&&!test_flag)n+=print_str(" ");else return n;return printMode===PRINTMODE_HUMAN&&!test_flag&&!codeGen?n+=print_str(" "):n+=print_str("*"),n},is_denominator=function(n){return car(n)===symbol(POWER)&&cadr(n)!==symbol(E)&&isnegativeterm(caddr(n))?1:0},any_denominators=function(n){var t;for(n=cdr(n);iscons(n);){if(t=car(n),is_denominator(t))return 1;n=cdr(n)}return 0},YMAX=1e4,glyph=(function(){class n{}return n.prototype.c=0,n.prototype.x=0,n.prototype.y=0,n}).call(this),chartab=[],charTabIndex=i1=0,ref1=YMAX;0<=ref1?i1<ref1:i1>ref1;charTabIndex=0<=ref1?++i1:--i1)chartab[charTabIndex]=new glyph;for(yindex=0,level=0,emit_x=0,expr_level=0,printchar_nowrap=function(n){var t;return t="",t+=n,t},printchar=function(n){return printchar_nowrap(n)},print2dascii=function(n){var t,r,a,s;if(r=0,a=0,s=0,save(),yindex=0,level=0,emit_x=0,emit_top_expr(n),[r,a,s]=get_size(0,yindex),a>100){printline(n),restore();return}return t=print_glyphs(),restore(),t},emit_top_expr=function(n){if(car(n)===symbol(SETQ)){emit_expr(cadr(n)),__emit_str(" = "),emit_expr(caddr(n));return}return istensor(n)?emit_tensor(n):emit_expr(n)},will_be_displayed_as_fraction=function(n){if(level>0)return 0;if(isfraction(n))return 1;if(car(n)!==symbol(MULTIPLY))return 0;if(isfraction(cadr(n)))return 1;for(;iscons(n);){if(isdenominator(car(n)))return 1;n=cdr(n)}return 0},emit_expr=function(n){if(expr_level++,car(n)===symbol(ADD))for(n=cdr(n),__is_negative(car(n))&&(__emit_char("-"),will_be_displayed_as_fraction(car(n))&&__emit_char(" ")),emit_term(car(n)),n=cdr(n);iscons(n);)__is_negative(car(n))?(__emit_char(" "),__emit_char("-"),__emit_char(" ")):(__emit_char(" "),__emit_char("+"),__emit_char(" ")),emit_term(car(n)),n=cdr(n);else __is_negative(n)&&(__emit_char("-"),will_be_displayed_as_fraction(n)&&__emit_char(" ")),emit_term(n);return expr_level--},emit_unsigned_expr=function(n){var t;if(car(n)===symbol(ADD)){for(n=cdr(n),emit_term(car(n)),n=cdr(n),t=[];iscons(n);)__is_negative(car(n))?(__emit_char(" "),__emit_char("-"),__emit_char(" ")):(__emit_char(" "),__emit_char("+"),__emit_char(" ")),emit_term(car(n)),t.push(n=cdr(n));return t}else return emit_term(n)},__is_negative=function(n){return isnegativenumber(n)||car(n)===symbol(MULTIPLY)&&isnegativenumber(cadr(n))?1:0},emit_term=function(n){var t;return car(n)===symbol(MULTIPLY)?(t=count_denominators(n),t&&level===0?emit_fraction(n,t):emit_multiply(n,t)):emit_factor(n)},isdenominator=function(n){return car(n)===symbol(POWER)&&cadr(n)!==symbol(E)&&__is_negative(caddr(n))?1:0},count_denominators=function(n){var t,r;for(t=0,n=cdr(n);iscons(n);)r=car(n),isdenominator(r)&&t++,n=cdr(n);return t},emit_multiply=function(n,t){var r;if(t===0){for(n=cdr(n),(isplusone(car(n))||isminusone(car(n)))&&(n=cdr(n)),emit_factor(car(n)),n=cdr(n),r=[];iscons(n);)__emit_char(" "),emit_factor(car(n)),r.push(n=cdr(n));return r}else return emit_numerators(n),__emit_char("/"),t>1||isfraction(cadr(n))?(__emit_char("("),emit_denominators(n),__emit_char(")")):emit_denominators(n)},emit_fraction=function(n,t){var r,a,s,l,u;for(r=0,a=0,s=0,l=0,u=0,save(),p3=one,p4=one,isrational(cadr(n))&&(push(cadr(n)),mp_numerator(),absval(),p3=pop(),push(cadr(n)),mp_denominator(),p4=pop()),isdouble(cadr(n))&&(push(cadr(n)),absval(),p3=pop()),isplusone(p3)?l=0:l=1,p1=cdr(n),isNumericAtom(car(p1))&&(p1=cdr(p1));iscons(p1);)p2=car(p1),isdenominator(p2)||l++,p1=cdr(p1);for(u=emit_x,a=yindex,r=0,isplusone(p3)||(emit_number(p3,0),r++),p1=cdr(n),isNumericAtom(car(p1))&&(p1=cdr(p1));iscons(p1);)p2=car(p1),isdenominator(p2)||(r>0&&__emit_char(" "),l===1?emit_expr(p2):emit_factor(p2),r++),p1=cdr(p1);for(r===0&&__emit_char("1"),s=yindex,r=0,isplusone(p4)||(emit_number(p4,0),r++,t++),p1=cdr(n),isrational(car(p1))&&(p1=cdr(p1));iscons(p1);)p2=car(p1),isdenominator(p2)&&(r>0&&__emit_char(" "),emit_denominator(p2,t),r++),p1=cdr(p1);return fixup_fraction(u,a,s),restore()},emit_numerators=function(n){var t;for(save(),t=0,p1=one,n=cdr(n),isrational(car(n))?(push(car(n)),mp_numerator(),absval(),p1=pop(),n=cdr(n)):isdouble(car(n))&&(push(car(n)),absval(),p1=pop(),n=cdr(n)),t=0,isplusone(p1)||(emit_number(p1,0),t++);iscons(n);)isdenominator(car(n))||(t>0&&__emit_char(" "),emit_factor(car(n)),t++),n=cdr(n);return t===0&&__emit_char("1"),restore()},emit_denominators=function(n){var t;for(save(),t=0,n=cdr(n),isfraction(car(n))&&(push(car(n)),mp_denominator(),p1=pop(),emit_number(p1,0),t++,n=cdr(n));iscons(n);)isdenominator(car(n))&&(t>0&&__emit_char(" "),emit_denominator(car(n),0),t++),n=cdr(n);return restore()},emit_factor=function(n){if(istensor(n)){emit_flat_tensor(n);return}if(isdouble(n)){emit_number(n,0);return}if(car(n)===symbol(ADD)||car(n)===symbol(MULTIPLY)){emit_subexpr(n);return}if(car(n)===symbol(POWER)){emit_power(n);return}if(iscons(n)){emit_function(n);return}if(isNumericAtom(n)){level===0?emit_numerical_fraction(n):emit_number(n,0);return}if(issymbol(n)){emit_symbol(n);return}isstr(n)&&emit_string(n)},emit_numerical_fraction=function(n){var t,r,a;if(t=0,r=0,a=0,save(),push(n),mp_numerator(),absval(),p3=pop(),push(n),mp_denominator(),p4=pop(),isplusone(p4)){emit_number(p3,0),restore();return}return a=emit_x,t=yindex,emit_number(p3,0),r=yindex,emit_number(p4,0),fixup_fraction(a,t,r),restore()},isfactor=function(n){return iscons(n)&&car(n)!==symbol(ADD)&&car(n)!==symbol(MULTIPLY)&&car(n)!==symbol(POWER)||issymbol(n)?1:isfraction(n)||isnegativenumber(n)?0:isNumericAtom(n)?1:0},emit_power=function(n){var t,r,a;if(t=0,r=0,a=0,cadr(n)===symbol(E)){__emit_str("exp("),emit_expr(caddr(n)),__emit_char(")");return}if(level>0){isminusone(caddr(n))?(__emit_char("1"),__emit_char("/"),isfactor(cadr(n))?emit_factor(cadr(n)):emit_subexpr(cadr(n))):(isfactor(cadr(n))?emit_factor(cadr(n)):emit_subexpr(cadr(n)),__emit_char("^"),isfactor(caddr(n))?emit_factor(caddr(n)):emit_subexpr(caddr(n)));return}if(__is_negative(caddr(n))){a=emit_x,t=yindex,__emit_char("1"),r=yindex,emit_denominator(n,1),fixup_fraction(a,t,r);return}return t=yindex,isfactor(cadr(n))?emit_factor(cadr(n)):emit_subexpr(cadr(n)),r=yindex,level++,emit_expr(caddr(n)),level--,fixup_power(t,r)},emit_denominator=function(n,t){var r,a;if(r=0,a=0,isminusone(caddr(n))){t===1?emit_expr(cadr(n)):emit_factor(cadr(n));return}return r=yindex,isfactor(cadr(n))?emit_factor(cadr(n)):emit_subexpr(cadr(n)),a=yindex,level++,emit_unsigned_expr(caddr(n)),level--,fixup_power(r,a)},emit_function=function(n){if(car(n)===symbol(INDEX)&&issymbol(cadr(n))){emit_index_function(n);return}if(car(n)===symbol(FACTORIAL)){emit_factorial_function(n);return}if(car(n)===symbol(DERIVATIVE)?__emit_char("d"):emit_symbol(car(n)),__emit_char("("),n=cdr(n),iscons(n))for(emit_expr(car(n)),n=cdr(n);iscons(n);)__emit_char(","),emit_expr(car(n)),n=cdr(n);return __emit_char(")")},emit_index_function=function(n){if(n=cdr(n),caar(n)===symbol(ADD)||caar(n)===symbol(MULTIPLY)||caar(n)===symbol(POWER)||caar(n)===symbol(FACTORIAL)?emit_subexpr(car(n)):emit_expr(car(n)),__emit_char("["),n=cdr(n),iscons(n))for(emit_expr(car(n)),n=cdr(n);iscons(n);)__emit_char(","),emit_expr(car(n)),n=cdr(n);return __emit_char("]")},emit_factorial_function=function(n){return n=cadr(n),isfraction(n)||car(n)===symbol(ADD)||car(n)===symbol(MULTIPLY)||car(n)===symbol(POWER)||car(n)===symbol(FACTORIAL)?emit_subexpr(n):emit_expr(n),__emit_char("!")},emit_subexpr=function(n){return __emit_char("("),emit_expr(n),__emit_char(")")},emit_symbol=function(n){var t,r,a,s,l;if(t=0,n===symbol(E)){__emit_str("exp(1)");return}for(a=get_printname(n),l=[],t=r=0,s=a.length;0<=s?r<s:r>s;t=0<=s?++r:--r)l.push(__emit_char(a[t]));return l},emit_string=function(n){var t,r,a,s;for(t=0,a=n.str,__emit_char('"'),t=r=0,s=a.length;0<=s?r<s:r>s;t=0<=s?++r:--r)__emit_char(a[t]);return __emit_char('"')},fixup_fraction=function(n,t,r){var a,s,l,u,_,m,g,f,x,w,Z,Ce,ne;for(a=0,s=0,f=0,Z=0,l=0,x=0,Ce=0,u=0,w=0,ne=0,[l,x,Ce]=get_size(t,r),[u,w,ne]=get_size(r,yindex),w>x?a=(w-x)/2:a=0,a++,Z=Ce+l-1,s=-Z-1,move(t,r,a,s),w>x?a=-x:a=-x+(x-w)/2,a++,s=-ne+1,move(r,yindex,a,s),w>x?f=w:f=x,f+=2,emit_x=n,g=[],_=0,m=f;0<=m?_<m:_>m;0<=m?++_:--_)g.push(__emit_char("-"));return g},fixup_power=function(n,t){var r,a,s,l,u,_,m;return r=0,a=0,l=0,_=0,s=0,u=0,m=0,[a,l,_]=get_size(n,t),[s,u,m]=get_size(t,yindex),r=-m-s+1,r+=_-1,move(t,yindex,0,r)},move=function(n,t,r,a){var s,l,u,_,m;for(s=0,m=[],s=l=u=n,_=t;u<=_?l<_:l>_;s=u<=_?++l:--l)chartab[s].x+=r,m.push(chartab[s].y+=a);return m},get_size=function(n,t){var r,a,s,l,u,_,m,g,f,x,w;for(a=0,_=chartab[n].x,l=chartab[n].x,m=chartab[n].y,u=chartab[n].y,a=s=g=n+1,f=t;g<=f?s<f:s>f;a=g<=f?++s:--s)chartab[a].x<_&&(_=chartab[a].x),chartab[a].x>l&&(l=chartab[a].x),chartab[a].y<m&&(m=chartab[a].y),chartab[a].y>u&&(u=chartab[a].y);return r=u-m+1,x=l-_+1,w=m,[r,x,w]},__emit_char=function(n){if(yindex!==YMAX){if(chartab[yindex]==null)debugger;return chartab[yindex].c=n,chartab[yindex].x=emit_x,chartab[yindex].y=0,yindex++,emit_x++}},__emit_str=function(n){var t,r,a,s;for(t=0,s=[],t=r=0,a=n.length;0<=a?r<a:r>a;t=0<=a?++r:--r)s.push(__emit_char(n[t]));return s},emit_number=function(n,t){var r,a,s,l,u,_,m,g,f,x;switch(x="",r=0,n.k){case NUM:for(x=n.q.a.toString(),x[0]==="-"&&t===0&&(x=x.substring(1)),r=a=0,u=x.length;0<=u?a<u:a>u;r=0<=u?++a:--a)__emit_char(x[r]);if(x=n.q.b.toString(),x==="1")break;for(__emit_char("/"),g=[],r=s=0,_=x.length;0<=_?s<_:s>_;r=0<=_?++s:--s)g.push(__emit_char(x[r]));return g;case DOUBLE:for(x=doubleToReasonableString(n.d),x[0]==="-"&&t===0&&(x=x.substring(1)),f=[],r=l=0,m=x.length;0<=m?l<m:l>m;r=0<=m?++l:--l)f.push(__emit_char(x[r]));return f}},cmpGlyphs=function(n,t){return n.y<t.y?-1:n.y>t.y?1:n.x<t.x?-1:n.x>t.x?1:0},print_glyphs=function(){var n,t,r,a,s,l,u;for(t=0,n="",s=chartab.slice(0,yindex),s.sort(cmpGlyphs),chartab=[].concat(s).concat(chartab.slice(yindex)),l=0,u=chartab[0].y,t=r=0,a=yindex;0<=a?r<a:r>a;t=0<=a?++r:--r){for(;chartab[t].y>u;)n+=printchar(`
`),l=0,u++;for(;chartab[t].x>l;)n+=printchar_nowrap(" "),l++;n+=printchar_nowrap(chartab[t].c),l++}return n},N=100,oneElement=(function(){class n{}return n.prototype.x=0,n.prototype.y=0,n.prototype.h=0,n.prototype.w=0,n.prototype.index=0,n.prototype.count=0,n}).call(this),elem=[],elelmIndex=j1=0;j1<1e4;elelmIndex=++j1)elem[elelmIndex]=new oneElement;SPACE_BETWEEN_COLUMNS=3,SPACE_BETWEEN_ROWS=1,emit_tensor=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc;if(_=0,f=0,Z=0,w=0,ys=0,tc=0,u=0,ec=0,r=0,a=0,s=0,l=0,Lr=0,t=0,n.tensor.ndim>2){emit_flat_tensor(n);return}if(Z=n.tensor.dim[0],n.tensor.ndim===2?w=n.tensor.dim[1]:w=1,f=Z*w,f>N){emit_flat_tensor(n);return}for(ys=emit_x,_=m=0,ne=f;0<=ne?m<ne:m>ne;_=0<=ne?++m:--m)elem[_].index=yindex,elem[_].x=emit_x,emit_expr(n.tensor.elem[_]),elem[_].count=yindex-elem[_].index,[elem[_].h,elem[_].w,elem[_].y]=get_size(elem[_].index,yindex);for(s=0,l=0,_=g=0,$e=f;0<=$e?g<$e:g>$e;_=0<=$e?++g:--g)elem[_].h>s&&(s=elem[_].h),elem[_].w>l&&(l=elem[_].w);for(u=Z*s+(Z-1)*SPACE_BETWEEN_ROWS,ec=w*l+(w-1)*SPACE_BETWEEN_COLUMNS,tc=-(u/2),Lr=x=0,Ie=Z;0<=Ie?x<Ie:x>Ie;Lr=0<=Ie?++x:--x)for(t=Ce=0,Dt=w;0<=Dt?Ce<Dt:Ce>Dt;t=0<=Dt?++Ce:--Ce)_=Lr*w+t,r=ys-elem[_].x,a=tc-elem[_].y,move(elem[_].index,elem[_].index+elem[_].count,r,a),r=0,t>0&&(r=t*(l+SPACE_BETWEEN_COLUMNS)),a=0,Lr>0&&(a=Lr*(s+SPACE_BETWEEN_ROWS)),r+=(l-elem[_].w)/2,a+=(s-elem[_].h)/2,move(elem[_].index,elem[_].index+elem[_].count,r,a);return emit_x=ys+ec},emit_flat_tensor=function(n){return emit_tensor_inner(n,0,0)},emit_tensor_inner=function(n,t,r){var a,s,l;for(a=0,__emit_char("("),a=s=0,l=n.tensor.dim[t];0<=l?s<l:s>l;a=0<=l?++s:--s)t+1===n.tensor.ndim?(emit_expr(n.tensor.elem[r]),r=r+1):r=emit_tensor_inner(n,t+1,r),a+1<n.tensor.dim[t]&&__emit_char(",");return __emit_char(")"),r},Eval_product=function(){var n,t,r,a,s,l,u,_,m;if(t=0,a=0,s=0,n=cadr(p1),r=caddr(p1),issymbol(r)||stop("sum: 2nd arg?"),push(cadddr(p1)),Eval(),a=pop_integer(),isNaN(a)){push(p1);return}if(push(caddddr(p1)),Eval(),s=pop_integer(),isNaN(s)){push(p1);return}for(u=get_binding(r),push_integer(1),t=l=_=a,m=s;_<=m?l<=m:l>=m;t=_<=m?++l:--l)push_integer(t),p5=pop(),set_binding(r,p5),push(n),Eval(),DEBUG&&(console.log("product - factor 1: "+stack[tos-1].toString()),console.log("product - factor 2: "+stack[tos-2].toString())),multiply(),DEBUG&&console.log("product - result: "+stack[tos-1].toString());return set_binding(r,u)},qadd=function(){var n,t,r,a,s,l,u,_;if(l=pop(),s=pop(),t=mmul(s.q.a,l.q.b),r=mmul(s.q.b,l.q.a),u=madd(t,r),MZERO(u)){push(zero);return}return a=mmul(s.q.b,l.q.b),n=mgcd(u,a),n=makeSignSameAs(n,a),_=new U,_.k=NUM,_.q.a=mdiv(u,n),_.q.b=mdiv(a,n),push(_)},qdiv=function(){var n,t,r;if(save(),p2=pop(),p1=pop(),MZERO(p2.q.a)&&stop("divide by zero"),MZERO(p1.q.a)){push(zero),restore();return}return n=mmul(p1.q.a,p2.q.b),t=mmul(p1.q.b,p2.q.a),r=mgcd(n,t),r=makeSignSameAs(r,t),p1=new U,p1.k=NUM,p1.q.a=mdiv(n,r),p1.q.b=mdiv(t,r),push(p1),restore()},qmul=function(){var n,t,r;if(save(),p2=pop(),p1=pop(),MZERO(p1.q.a)||MZERO(p2.q.a)){push(zero),restore();return}return n=mmul(p1.q.a,p2.q.a),t=mmul(p1.q.b,p2.q.b),r=mgcd(n,t),r=makeSignSameAs(r,t),p1=new U,p1.k=NUM,p1.q.a=mdiv(n,r),p1.q.b=mdiv(t,r),push(p1),restore()},qpow=function(){return save(),qpowf(),restore()},qpowf=function(){var n,t,r,a,s,l;if(r=0,p2=pop(),p1=pop(),isplusone(p1)||isZeroAtomOrTensor(p2)){push_integer(1);return}if(isminusone(p1)&&isoneovertwo(p2)){push(imaginaryunit);return}if(isZeroAtomOrTensor(p1)){isnegativenumber(p2)&&stop("divide by zero"),push(zero);return}if(isplusone(p2)){push(p1);return}if(isinteger(p2)){if(push(p2),r=pop_integer(),isNaN(r)){push_symbol(POWER),push(p1),push(p2),list(3);return}s=mpow(p1.q.a,Math.abs(r)),l=mpow(p1.q.b,Math.abs(r)),r<0&&(a=s,s=l,l=a,s=makeSignSameAs(s,l),l=makePositive(l)),p3=new U,p3.k=NUM,p3.q.a=s,p3.q.b=l,push(p3);return}if(isminusone(p1)){push(p2),normalize_angle();return}if(isnegativenumber(p1)){push(p1),negate(),push(p2),qpow(),push_integer(-1),push(p2),qpow(),multiply();return}if(!isinteger(p1)){push(p1),mp_numerator(),push(p2),qpow(),push(p1),mp_denominator(),push(p2),negate(),qpow(),multiply();return}if(is_small_integer(p1)){push(p1),push(p2),quickfactor();return}if(!isSmall(p2.q.a)||!isSmall(p2.q.b)){push_symbol(POWER),push(p1),push(p2),list(3);return}if(n=p2.q.a,t=p2.q.b,s=mroot(p1.q.a,t),s===0){push_symbol(POWER),push(p1),push(p2),list(3);return}return l=mpow(s,n),p3=new U,p3.k=NUM,p2.q.a.isNegative()?(p3.q.a=bigInt(1),p3.q.b=l):(p3.q.a=l,p3.q.b=bigInt(1)),push(p3)},normalize_angle=function(){if(save(),p1=pop(),isinteger(p1)){p1.q.a.isOdd()?push_integer(-1):push_integer(1),restore();return}return push(p1),bignum_truncate(),p2=pop(),isnegativenumber(p1)&&(push(p2),push_integer(-1),add(),p2=pop()),push(p1),push(p2),subtract(),p3=pop(),push_symbol(POWER),push_integer(-1),push(p3),list(3),p2.q.a.isOdd()&&negate(),restore()},is_small_integer=function(n){return isSmall(n.q.a)},quickfactor=function(){var n,t,r,a,s,l;for(t=0,save(),p2=pop(),p1=pop(),n=tos,push(p1),factor_small_number(),a=tos-n,l=n,t=r=0,s=a;r<s;t=r+=2)push(stack[l+t]),push(stack[l+t+1]),push(p2),multiply(),quickpower();return multiply_all(tos-n-a),p1=pop(),moveTos(n),push(p1),restore()},quickpower=function(){var n;if(n=0,save(),p2=pop(),p1=pop(),push(p2),bignum_truncate(),p3=pop(),push(p2),push(p3),subtract(),p4=pop(),isZeroAtomOrTensor(p4)||(push_symbol(POWER),push(p1),push(p4),list(3)),push(p3),n=pop_integer(),isNaN(n)){push_symbol(POWER),push(p1),push(p3),list(3),restore();return}if(n===0){restore();return}return push(p1),bignum_power_number(n),restore()},Eval_quotient=function(){return push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),push(cadddr(p1)),Eval(),p1=pop(),p1===symbol(NIL)&&(p1=symbol(SYMBOL_X)),push(p1),divpoly()},divpoly=function(){var n,t,r,a,s,l,u,_,m;for(r=0,a=0,l=0,u=0,m=0,save(),p3=pop(),p2=pop(),p1=pop(),r=tos,n=tos,l=coeff(p3,p1)-1,t=tos,u=coeff(p3,p2)-1,m=l-u,push_integer(0),p5=pop();m>=0;){for(push(stack[n+l]),push(stack[t+u]),divide(),p4=pop(),a=s=0,_=u;0<=_?s<=_:s>=_;a=0<=_?++s:--s)push(stack[n+m+a]),push(stack[t+a]),push(p4),multiply(),subtract(),stack[n+m+a]=pop();push(p5),push(p4),push(p3),push_integer(m),power(),multiply(),add(),p5=pop(),l--,m--}return moveTos(r),push(p5),restore()},DEBUG_RATIONALIZE=!1,Eval_rationalize=function(){return push(cadr(p1)),Eval(),rationalize()},rationalize=function(){var n;return n=expanding,yyrationalize(),expanding=n},yyrationalize=function(){var n,t,r;if(r=pop(),istensor(r)){__rationalize_tensor(r);return}if(expanding=0,car(r)!==symbol(ADD)){push(r);return}for(DEBUG_RATIONALIZE&&console.log("rationalize: this is the input expr: "+r),push(one),multiply_denominators(r),n=pop(),DEBUG_RATIONALIZE&&console.log("rationalize: this is the new denominator: "+n),push(zero),t=cdr(r);iscons(t);)DEBUG_RATIONALIZE&&console.log("term: "+car(t)),push(n),push(car(t)),multiply(),add(),t=cdr(t);if(DEBUG_RATIONALIZE&&console.log("rationalize: original terms times new denominator: "+stack[tos-1]),Condense(),DEBUG_RATIONALIZE&&console.log("rationalize: after factoring: "+stack[tos-1]),push(n),divide(),DEBUG_RATIONALIZE)return console.log("rationalize: after dividing by new denom. (and we're done): "+stack[tos-1])},multiply_denominators=function(n){var t;if(car(n)===symbol(ADD)){for(n=cdr(n),t=[];iscons(n);)multiply_denominators_term(car(n)),t.push(n=cdr(n));return t}else return multiply_denominators_term(n)},multiply_denominators_term=function(n){var t;if(car(n)===symbol(MULTIPLY)){for(n=cdr(n),t=[];iscons(n);)multiply_denominators_factor(car(n)),t.push(n=cdr(n));return t}else return multiply_denominators_factor(n)},multiply_denominators_factor=function(n){if(car(n)===symbol(POWER)){if(push(n),n=caddr(n),isnegativenumber(n)){inverse(),__lcm();return}if(car(n)===symbol(MULTIPLY)&&isnegativenumber(cadr(n))){inverse(),__lcm();return}return pop()}},__rationalize_tensor=function(n){var t,r,a,s;if(t=0,push(n),Eval(),n=pop(),!istensor(n)){push(n);return}for(a=n.tensor.nelem,t=r=0,s=a;0<=s?r<s:r>s;t=0<=s?++r:--r)push(n.tensor.elem[t]),rationalize(),n.tensor.elem[t]=pop();return check_tensor_dimensions(n),push(n)},__lcm=function(){return save(),p1=pop(),p2=pop(),push(p1),push(p2),multiply(),push(p1),push(p2),gcd(),divide(),restore()},Eval_real=function(){return push(cadr(p1)),Eval(),real()},real=function(){return save(),rect(),p1=pop(),push(p1),push(p1),conjugate(),add(),push_integer(2),divide(),restore()},DEBUG_RECT=!1,Eval_rect=function(){return push(cadr(p1)),Eval(),rect()},rect=function(){var n;if(save(),p1=pop(),n=p1,DEBUG_RECT&&console.log("RECT of "+n),DEBUG_RECT&&console.log("any clock forms in : "+n+" ? "+findPossibleClockForm(n)),issymbol(p1))DEBUG_RECT&&console.log(" rect: simple symbol: "+n),isZeroAtomOrTensor(get_binding(symbol(ASSUME_REAL_VARIABLES)))?(push_symbol(YYRECT),push(p1),list(2)):push(p1);else if(!isZeroAtomOrTensor(get_binding(symbol(ASSUME_REAL_VARIABLES)))&&!findPossibleExponentialForm(p1)&&!findPossibleClockForm(p1)&&!(Find(p1,symbol(SIN))&&Find(p1,symbol(COS))&&Find(p1,imaginaryunit)))DEBUG_RECT&&console.log(" rect: simple symbol: "+n),push(p1);else if(car(p1)===symbol(MULTIPLY)&&isimaginaryunit(cadr(p1))&&!isZeroAtomOrTensor(get_binding(symbol(ASSUME_REAL_VARIABLES))))push(p1);else if(car(p1)===symbol(ADD))for(DEBUG_RECT&&console.log(" rect - "+n+" is a sum "),push_integer(0),p1=cdr(p1);iscons(p1);)push(car(p1)),rect(),add(),p1=cdr(p1);else DEBUG_RECT&&console.log(" rect - "+n+" is NOT a sum "),push(p1),abs(),DEBUG_RECT&&console.log(" rect - "+n+" abs: "+stack[tos-1].toString()),push(p1),arg(),DEBUG_RECT&&console.log(" rect - "+n+" arg of "+p1+" : "+stack[tos-1].toString()),p1=pop(),push(p1),cosine(),DEBUG_RECT&&console.log(" rect - "+n+" cosine: "+stack[tos-1].toString()),push(imaginaryunit),push(p1),sine(),DEBUG_RECT&&console.log(" rect - "+n+" sine: "+stack[tos-1].toString()),multiply(),DEBUG_RECT&&console.log(" rect - "+n+" i * sine: "+stack[tos-1].toString()),add(),DEBUG_RECT&&console.log(" rect - "+n+" cos + i * sine: "+stack[tos-1].toString()),multiply();if(restore(),DEBUG_RECT)return console.log("rect of "+n+" : "+stack[tos-1])},Eval_roots=function(){return p2=cadr(p1),car(p2)===symbol(SETQ)||car(p2)===symbol(TESTEQ)?(push(cadr(p2)),Eval(),push(caddr(p2)),Eval(),subtract()):(push(p2),Eval(),p2=pop(),car(p2)===symbol(SETQ)||car(p2)===symbol(TESTEQ)?(push(cadr(p2)),Eval(),push(caddr(p2)),Eval(),subtract()):push(p2)),push(caddr(p1)),Eval(),p2=pop(),p2===symbol(NIL)?guess():push(p2),p2=pop(),p1=pop(),ispolyexpandedform(p1,p2)||stop("roots: 1st argument is not a polynomial in the variable "+p2),push(p1),push(p2),roots()},hasImaginaryCoeff=function(n){var t,r,a;for(r=!1,t=a=n;a>0;t=a+=-1)if(iscomplexnumber(stack[tos-t])){r=!0;break}return r},isSimpleRoot=function(n){var t,r,a;if(n>2){for(r=!0,isZeroAtomOrTensor(stack[tos-n])&&(r=!1),t=a=n-1;a>1;t=a+=-1)if(!isZeroAtomOrTensor(stack[tos-t])){r=!1;break}}else r=!1;return r},normalisedCoeff=function(n,t){var r,a,s,l,u,_,m,g;for(s=coeff(n,t),r=stack[tos-1],_=[],a=l=1,m=s;1<=m?l<=m:l>=m;a=1<=m?++l:--l)_.push(pop());for(a=u=g=s-1;g<=0?u<=0:u>=0;a=g<=0?++u:--u)push(_[a]),push(r),divide();return s},roots=function(){var n,t,r,a,s,l,u,_;if(n=0,t=0,u=0,DEBUG&&console.log("roots: "+stack[tos-1].toString()+" "+stack[tos-2].toString()),save(),recursionLevelNestedRadicalsRemoval>1){pop(),pop(),push(symbol(NIL)),restore();return}if(n=tos-2,DEBUG&&console.log("roots checking if "+stack[tos-1].toString()+" is a case of simple roots"),p2=pop(),p1=pop(),push(p1),push(p2),r=normalisedCoeff(p2,p1),isSimpleRoot(r)?(DEBUG&&console.log("yes, "+stack[tos-1].toString()+" is a case of simple roots"),s=stack[tos-r],l=stack[tos-1],moveTos(tos-r),pop(),pop(),getSimpleRoots(r,l,s)):(moveTos(tos-r),roots2()),u=tos-n,u===0&&stop("roots: the polynomial is not factorable, try nroots"),u===1){restore();return}for(sort_stack(u),p1=alloc_tensor(u),p1.tensor.ndim=1,p1.tensor.dim[0]=u,t=a=0,_=u;0<=_?a<_:a>_;t=0<=_?++a:--a)p1.tensor.elem[t]=stack[n+t];return moveTos(n),push(p1),restore(),!1},getSimpleRoots=function(n,t,r){var a,s,l,u,_,m,g;if(DEBUG&&console.log("getSimpleRoots"),save(),n=n-1,push(r),push_rational(1,n),power(),push(t),push_rational(1,n),power(),divide(),s=pop(),n%2===0)for(g=l=1,_=n;l<=_;g=l+=2)push(s),push_integer(-1),push_rational(g,n),power(),multiply(),a=pop(),push(a),push(a),negate();else for(g=u=1,m=n;1<=m?u<=m:u>=m;g=1<=m?++u:--u)push(s),push_integer(-1),push_rational(g,n),power(),multiply(),g%2===0&&negate();return restore()},roots2=function(){var n;if(save(),DEBUG&&console.log("roots2: "+stack[tos-1].toString()+" "+stack[tos-2].toString()),p2=pop(),p1=pop(),push(p1),push(p2),n=normalisedCoeff(p2,p1),hasImaginaryCoeff(n)?(moveTos(tos-n),pop(),pop()):(moveTos(tos-n),factorpoly(),p1=pop()),car(p1)===symbol(MULTIPLY))for(p1=cdr(p1);iscons(p1);)push(car(p1)),push(p2),roots3(),p1=cdr(p1);else push(p1),push(p2),roots3();return restore()},roots3=function(){var n;return save(),p2=pop(),p1=pop(),car(p1)===symbol(POWER)&&ispolyexpandedform(cadr(p1),p2)&&isposint(caddr(p1))?(n=normalisedCoeff(p2,cadr(p1)),mini_solve(n)):ispolyexpandedform(p1,p2)&&(n=normalisedCoeff(p2,p1),mini_solve(n)),restore()},mini_solve=function(n){var t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0,h0,_0,c0,f0,q0,D0,$0,k0,R0,C0,I0,Y0,K0,W0,r0,b0,A0,v0,i0,S0,E0,L0,O0,P0,w0,U0,o0,x0,T0,z0,Z0,Q0;if(save(),n===2){p3=pop(),p4=pop(),push(p4),push(p3),divide(),negate(),restore();return}if(n===3){p3=pop(),p4=pop(),p5=pop(),push(p4),push_integer(2),power(),push_integer(4),push(p3),multiply(),push(p5),multiply(),subtract(),push_rational(1,2),power(),p6=pop(),push(p6),push(p4),subtract(),push(p3),push_integer(2),multiply(),divide(),push(p6),push(p4),add(),negate(),push(p3),divide(),push_rational(1,2),multiply(),restore();return}if(n===4||n===5){if(p3=pop(),p4=pop(),p5=pop(),p6=pop(),push(p5),push(p5),multiply(),lc=pop(),push(lc),push(p5),multiply(),e0=pop(),push(p4),push(p4),multiply(),ac=pop(),push(ac),push(p4),multiply(),cc=pop(),push(cc),push(p6),multiply(),uc=pop(),push(uc),push_integer(-4),multiply(),_0=pop(),push(cc),push_integer(2),multiply(),s=pop(),push(p3),push(p3),multiply(),Ie=pop(),push(Ie),push(p3),multiply(),ec=pop(),push_integer(3),push(p3),multiply(),l=pop(),push(Ie),push(p6),multiply(),Dt=pop(),push(Dt),push(p6),multiply(),Lr=pop(),push(Dt),push_integer(27),multiply(),a=pop(),push(Lr),push_integer(-27),multiply(),t0=pop(),push(l),push_integer(2),multiply(),pop(),push(p3),push(p5),multiply(),nc=pop(),push(nc),push(p4),multiply(),ys=pop(),push(ys),push(p6),multiply(),tc=pop(),push(nc),push_integer(3),multiply(),_=pop(),push_integer(-4),push(p3),push(e0),multiply(),multiply(),h0=pop(),push(ys),push_integer(9),multiply(),negate(),c0=pop(),push(tc),push_integer(18),multiply(),r=pop(),push(ac),push(_),subtract(),Z=pop(),push(ac),push(lc),multiply(),sc=pop(),push(p4),negate(),push(l),divide(),f0=pop(),n===4){if(DEBUG&&console.log(">>>>>>>>>>>>>>>> actually using cubic formula <<<<<<<<<<<<<<< "),DEBUG&&console.log("cubic: D0: "+Z.toString()),push(Z),push_integer(3),power(),push_integer(4),multiply(),m=pop(),push(Z),simplify(),absValFloat(),Ce=pop(),DEBUG&&console.log("cubic: D0 as float: "+Ce.toString()),push(r),push(_0),push(sc),push(h0),push(t0),add(),add(),add(),add(),simplify(),absValFloat(),kc=pop(),DEBUG&&console.log("cubic: DETERMINANT: "+kc.toString()),push(s),push(c0),push(a),add(),add(),ne=pop(),DEBUG&&console.log("cubic: D1: "+ne.toString()),push(ne),push_integer(2),power(),push(m),subtract(),push_rational(1,2),power(),simplify(),$e=pop(),isZeroAtomOrTensor(kc))if(isZeroAtomOrTensor(Ce)){DEBUG&&console.log(" cubic: DETERMINANT IS ZERO and delta0 is zero"),push(f0),restore();return}else{DEBUG&&console.log(" cubic: DETERMINANT IS ZERO and delta0 is not zero"),push(p3),push(p6),push_integer(9),multiply(),multiply(),push(p4),push(p5),multiply(),subtract(),push(Z),push_integer(2),multiply(),divide(),z0=pop(),push(z0),push(z0),push(ys),push_integer(4),multiply(),push(p3),push(p3),push(p6),push_integer(9),multiply(),multiply(),multiply(),negate(),push(cc),negate(),add(),add(),push(p3),push(Z),multiply(),divide(),restore();return}for(t=!1,b0=!1;!t;)push($e),b0&&negate(),push(ne),add(),push_rational(1,2),multiply(),push_rational(1,3),power(),simplify(),f=pop(),DEBUG&&console.log("cubic: C: "+f.toString()),push(f),simplify(),absValFloat(),w=pop(),DEBUG&&console.log("cubic: C as absval and float: "+w.toString()),isZeroAtomOrTensor(w)?(DEBUG&&console.log(" cubic: C IS ZERO flipping the sign"),b0=!0):t=!0;push(f),push(l),multiply(),u=pop(),push(u),push_integer(2),multiply(),g=pop(),push(imaginaryunit),push_integer(3),push_rational(1,2),power(),multiply(),A0=pop(),push_integer(1),push(A0),add(),w0=pop(),push_integer(1),push(A0),subtract(),P0=pop(),push(f),push(l),divide(),x=pop(),push(f0),push(x),negate(),push(Z),push(u),divide(),negate(),add(),add(),simplify(),push(f0),push(x),push(w0),multiply(),push_integer(2),divide(),push(P0),push(Z),multiply(),push(g),divide(),add(),add(),simplify(),push(f0),push(x),push(P0),multiply(),push_integer(2),divide(),push(w0),push(Z),multiply(),push(g),divide(),add(),add(),simplify(),restore();return}if(n===5){if(DEBUG&&console.log(">>>>>>>>>>>>>>>> actually using quartic formula <<<<<<<<<<<<<<< "),p7=pop(),isZeroAtomOrTensor(p4)&&isZeroAtomOrTensor(p6)&&!isZeroAtomOrTensor(p5)&&!isZeroAtomOrTensor(p7)){for(DEBUG&&console.log("biquadratic case"),push(p3),push(symbol(SECRETX)),push_integer(2),power(),multiply(),push(p5),push(symbol(SECRETX)),multiply(),push(p7),add(),add(),push(symbol(SECRETX)),roots(),C0=pop(),U0=C0.tensor.elem,v0=0,i0=U0.length;v0<i0;v0++)r0=U0[v0],push(r0),push_rational(1,2),power(),simplify(),push(r0),push_rational(1,2),power(),negate(),simplify();restore();return}if(push(p6),push(p6),multiply(),dc=pop(),push(p7),push(p7),multiply(),Jc=pop(),push(Jc),push(p7),multiply(),n0=pop(),push_integer(256),push(ec),push(n0),multiply(),multiply(),push_integer(-192),push(Dt),push(Jc),push(p4),multiply(),multiply(),multiply(),push_integer(-128),push(Ie),push(lc),push(Jc),multiply(),multiply(),multiply(),push_integer(144),push(Lr),push(p5),push(p7),multiply(),multiply(),multiply(),push(t0),push(dc),multiply(),push_integer(144),push(ys),push(p4),push(Jc),multiply(),multiply(),multiply(),push_integer(-6),push(p3),push(ac),push(dc),push(p7),multiply(),multiply(),multiply(),multiply(),push_integer(-80),push(tc),push(p5),push(p7),multiply(),multiply(),multiply(),push_integer(18),push(tc),push(dc),multiply(),multiply(),push_integer(16),push(nc),push(e0),push(p7),multiply(),multiply(),multiply(),push_integer(-4),push(nc),push(lc),push(dc),multiply(),multiply(),multiply(),push_integer(-27),push(cc),push(p4),push(Jc),multiply(),multiply(),multiply(),push_integer(18),push(uc),push(p5),push(p7),multiply(),multiply(),multiply(),push(_0),push(dc),multiply(),push_integer(-4),push(sc),push(p5),push(p7),multiply(),multiply(),multiply(),push(sc),push(dc),multiply(),add(),add(),add(),add(),add(),add(),add(),add(),add(),add(),add(),add(),add(),add(),add(),kc=pop(),DEBUG&&console.log("R_determinant: "+kc.toString()),push(lc),push_integer(-3),push(p4),push(p6),multiply(),multiply(),push_integer(12),push(p3),push(p7),multiply(),multiply(),add(),add(),Z=pop(),DEBUG&&console.log("R_DELTA0: "+Z.toString()),push_integer(2),push(e0),multiply(),push_integer(-9),push(p4),push(p5),push(p6),multiply(),multiply(),multiply(),push_integer(27),push(ac),push(p7),multiply(),multiply(),push_integer(27),push(p3),push(dc),multiply(),multiply(),push_integer(-72),push(nc),push(p7),multiply(),multiply(),add(),add(),add(),add(),ne=pop(),DEBUG&&console.log("R_DELTA1: "+ne.toString()),push_integer(8),push(nc),multiply(),push_integer(-3),push(ac),multiply(),add(),push_integer(8),push(Ie),multiply(),divide(),q0=pop(),DEBUG&&console.log("p: "+q0.toString()),push(cc),push_integer(-4),push(ys),multiply(),push_integer(8),push(Dt),multiply(),add(),add(),push_integer(8),push(ec),multiply(),divide(),D0=pop(),DEBUG&&console.log("q: "+D0.toString()),DEBUG&&console.log("tos 1 "+tos),isZeroAtomOrTensor(p4)){for(q0=p5,D0=p6,$0=p7,push_rational(5,2),push(q0),multiply(),I0=pop(),push_integer(2),push(q0),push_integer(2),power(),multiply(),push($0),subtract(),Y0=pop(),push(q0),push_integer(3),power(),push_integer(2),divide(),push_rational(-1,2),push(q0),push($0),multiply(),multiply(),push_rational(-1,8),push(D0),push_integer(2),power(),multiply(),add(),add(),K0=pop(),push(symbol(SECRETX)),push_integer(3),power(),push(I0),push(symbol(SECRETX)),push_integer(2),power(),multiply(),push(Y0),push(symbol(SECRETX)),multiply(),push(K0),add(),add(),add(),DEBUG&&console.log("resolventCubic: "+stack[tos-1].toString()),push(symbol(SECRETX)),roots(),T0=pop(),DEBUG&&console.log("resolventCubicSolutions: "+T0),d0=null,x0=T0.tensor.elem,O0=0,E0=x0.length;O0<E0;O0++)if(r0=x0[O0],DEBUG&&console.log("examining solution: "+r0),push(r0),push_integer(2),multiply(),push(q0),add(),absValFloat(),Q0=pop(),DEBUG&&console.log("abs value is: "+r0),!isZeroAtomOrTensor(Q0)){d0=r0;break}DEBUG&&console.log("chosen solution: "+d0),push(d0),push_integer(2),multiply(),push(q0),add(),push_rational(1,2),power(),simplify(),Z0=pop(),push(D0),push_integer(2),multiply(),push(Z0),divide(),simplify(),R0=pop(),push(q0),push_integer(3),multiply(),push(d0),push_integer(2),multiply(),add(),k0=pop(),push(Z0),push(k0),push(R0),add(),negate(),push_rational(1,2),power(),simplify(),add(),push_integer(2),divide(),push(Z0),push(k0),push(R0),add(),negate(),push_rational(1,2),power(),simplify(),subtract(),push_integer(2),divide(),push(Z0),negate(),push(k0),push(R0),subtract(),negate(),push_rational(1,2),power(),simplify(),add(),push_integer(2),divide(),push(Z0),negate(),push(k0),push(R0),subtract(),negate(),push_rational(1,2),power(),simplify(),subtract(),push_integer(2),divide(),restore();return}else{for(DEBUG&&console.log("tos 2 "+tos),push_integer(8),push(p5),push(p3),multiply(),multiply(),push_integer(-3),push(p4),push_integer(2),power(),multiply(),add(),push_integer(8),push(p3),push_integer(2),power(),multiply(),divide(),q0=pop(),DEBUG&&console.log("p for depressed quartic: "+q0.toString()),push(p4),push_integer(3),power(),push_integer(-4),push(p3),push(p4),push(p5),multiply(),multiply(),multiply(),push_integer(8),push(p6),push(p3),push_integer(2),power(),multiply(),multiply(),add(),add(),push_integer(8),push(p3),push_integer(3),power(),multiply(),divide(),D0=pop(),DEBUG&&console.log("q for depressed quartic: "+D0.toString()),push(p4),push_integer(4),power(),push_integer(-3),multiply(),push_integer(256),push(ec),push(p7),multiply(),multiply(),push_integer(-64),push(Dt),push(p4),multiply(),multiply(),push_integer(16),push(ac),push(p3),push(p5),multiply(),multiply(),multiply(),add(),add(),add(),push_integer(256),push(p3),push_integer(4),power(),multiply(),divide(),$0=pop(),DEBUG&&console.log("r for depressed quartic: "+$0.toString()),DEBUG&&console.log("tos 4 "+tos),push(symbol(SECRETX)),push_integer(4),power(),DEBUG&&console.log("4 * x^4: "+stack[tos-1].toString()),push(q0),push(symbol(SECRETX)),push_integer(2),power(),multiply(),DEBUG&&console.log("R_p * x^2: "+stack[tos-1].toString()),push(D0),push(symbol(SECRETX)),multiply(),DEBUG&&console.log("R_q * x: "+stack[tos-1].toString()),push($0),DEBUG&&console.log("R_r: "+stack[tos-1].toString()),add(),add(),add(),simplify(),DEBUG&&console.log("solving depressed quartic: "+stack[tos-1].toString()),push(symbol(SECRETX)),roots(),W0=pop(),DEBUG&&console.log("depressedSolutions: "+W0),o0=W0.tensor.elem,L0=0,S0=o0.length;L0<S0;L0++)r0=o0[L0],push(r0),push(p4),push_integer(4),push(p3),multiply(),divide(),subtract(),simplify(),DEBUG&&console.log("solution from depressed: "+stack[tos-1].toString());restore();return}}}return moveTos(tos-n),restore()},Eval_round=function(){return push(cadr(p1)),Eval(),yround()},yround=function(){return save(),yyround(),restore()},yyround=function(){var n;if(n=0,p1=pop(),!isNumericAtom(p1)){push_symbol(ROUND),push(p1),list(2);return}if(isdouble(p1)){n=Math.round(p1.d),push_double(n);return}if(isinteger(p1)){push(p1);return}return push(p1),yyfloat(),p1=pop(),push_integer(Math.round(p1.d))},T_INTEGER=1001,T_DOUBLE=1002,T_SYMBOL=1003,T_FUNCTION=1004,T_NEWLINE=1006,T_STRING=1007,T_GTEQ=1008,T_LTEQ=1009,T_EQ=1010,T_NEQ=1011,T_QUOTASSIGN=1012,token="",newline_flag=0,meta_mode=0,input_str=0,scan_str=0,token_str=0,token_buf=0,lastFoundSymbol=null,symbolsRightOfAssignment=null,symbolsLeftOfAssignment=null,isSymbolLeftOfAssignment=null,scanningParameters=null,functionInvokationsScanningStack=null,skipRootVariableToBeSolved=!1,assignmentFound=null,scanned="",scan=function(n){return DEBUG&&console.log("#### scanning "+n),lastFoundSymbol=null,symbolsRightOfAssignment=[],symbolsLeftOfAssignment=[],isSymbolLeftOfAssignment=!0,scanningParameters=[],functionInvokationsScanningStack=[""],assignmentFound=!1,scanned=n,meta_mode=0,expanding++,input_str=0,scan_str=0,get_next_token(),token===""?(push(symbol(NIL)),expanding--,0):(scan_stmt(),expanding--,assignmentFound||(symbolsInExpressionsWithoutAssignments=symbolsInExpressionsWithoutAssignments.concat(symbolsLeftOfAssignment)),token_str-input_str)},scan_meta=function(n){return scanned=n,meta_mode=1,expanding++,input_str=0,scan_str=0,get_next_token(),token===""?(push(symbol(NIL)),expanding--,0):(scan_stmt(),expanding--,token_str-input_str)},scan_stmt=function(){var n,t,r,a,s,l,u,_,m;if(scan_relation(),n=!1,token===T_QUOTASSIGN&&(n=!0),(token===T_QUOTASSIGN||token==="=")&&(m=lastFoundSymbol,DEBUG&&console.log("assignment!"),assignmentFound=!0,isSymbolLeftOfAssignment=!1,get_next_token(),push_symbol(SETQ),swap(),n&&push_symbol(QUOTE),scan_relation(),n&&list(2),list(3),isSymbolLeftOfAssignment=!0,codeGen)){if(a=symbolsRightOfAssignment.indexOf(m),a!==-1&&(symbolsRightOfAssignment.splice(a,1),symbolsHavingReassignments.push(m)),DEBUG)for(console.log("locally, "+m+" depends on: "),s=0,l=symbolsRightOfAssignment.length;s<l;s++)r=symbolsRightOfAssignment[s],console.log("  "+r);for(symbolsDependencies[m]==null&&(symbolsDependencies[m]=[]),t=symbolsDependencies[m],_=0,u=symbolsRightOfAssignment.length;_<u;_++)r=symbolsRightOfAssignment[_],t.indexOf(r)===-1&&t.push(r);return symbolsRightOfAssignment=[]}},scan_relation=function(){switch(scan_expression(),token){case T_EQ:return push_symbol(TESTEQ),swap(),get_next_token(),scan_expression(),list(3);case T_NEQ:return push_symbol(NOT),swap(),push_symbol(TESTEQ),swap(),get_next_token(),scan_expression(),list(3),list(2);case T_LTEQ:return push_symbol(TESTLE),swap(),get_next_token(),scan_expression(),list(3);case T_GTEQ:return push_symbol(TESTGE),swap(),get_next_token(),scan_expression(),list(3);case"<":return push_symbol(TESTLT),swap(),get_next_token(),scan_expression(),list(3);case">":return push_symbol(TESTGT),swap(),get_next_token(),scan_expression(),list(3)}},scan_expression=function(){var n;switch(n=tos,token){case"+":get_next_token(),scan_term();break;case"-":get_next_token(),scan_term(),negate();break;default:scan_term()}for(;newline_flag===0&&(token==="+"||token==="-");)token==="+"?(get_next_token(),scan_term()):(get_next_token(),scan_term(),negate());if(tos-n>1)return list(tos-n),push_symbol(ADD),swap(),cons()},is_factor=function(){if((typeof token.charCodeAt=="function"?token.charCodeAt(0):void 0)===dotprod_unicode)return 1;switch(token){case"*":case"/":return 1;case"(":case T_SYMBOL:case T_FUNCTION:case T_INTEGER:case T_DOUBLE:case T_STRING:return newline_flag?(scan_str=token_str,0):1}return 0},simplify_1_in_products=function(n,t){if(n>t&&isrational(stack[n-1])&&equaln(stack[n-1],1))return pop()},multiply_consecutive_constants=function(n,t){if(n>t+1&&isNumericAtom(stack[n-2])&&isNumericAtom(stack[n-1]))return multiply()},scan_term=function(){var n;for(n=tos,scan_factor(),parse_time_simplifications&&simplify_1_in_products(tos,n);is_factor();)token==="*"?(get_next_token(),scan_factor()):token==="/"?(simplify_1_in_products(tos,n),get_next_token(),scan_factor(),inverse()):(typeof token.charCodeAt=="function"?token.charCodeAt(0):void 0)===dotprod_unicode?(get_next_token(),push_symbol(INNER),swap(),scan_factor(),list(3)):scan_factor(),parse_time_simplifications&&(multiply_consecutive_constants(tos,n),simplify_1_in_products(tos,n));if(n===tos)return push_integer(1);if(tos-n>1)return list(tos-n),push_symbol(MULTIPLY),swap(),cons()},scan_power=function(){if(token==="^")return get_next_token(),push_symbol(POWER),swap(),scan_factor(),list(3)},scan_index=function(n){for(get_next_token(),push_symbol(INDEX),swap(),scan_expression();token===",";)get_next_token(),scan_expression();return token!=="]"&&scan_error("] expected"),get_next_token(),list(tos-n)},scan_factor=function(){var n,t;for(t=tos,n=!1,token==="("?scan_subexpr():token===T_SYMBOL?scan_symbol():token===T_FUNCTION?scan_function_call_with_function_name():token==="["?scan_tensor():token===T_INTEGER?(n=!0,bignum_scan_integer(token_buf),get_next_token()):token===T_DOUBLE?(n=!0,bignum_scan_float(token_buf),get_next_token()):token===T_STRING?scan_string():scan_error("syntax error");token==="["||token==="("&&newline_flag===0&&!n;)token==="["?scan_index(t):token==="("&&scan_function_call_without_function_name();for(;token==="!";)get_next_token(),push_symbol(FACTORIAL),swap(),list(2);for(;(typeof token.charCodeAt=="function"?token.charCodeAt(0):void 0)===transpose_unicode;)get_next_token(),push_symbol(TRANSPOSE),swap(),list(2);return scan_power()},addSymbolRightOfAssignment=function(n){var t,r,a,s;if(predefinedSymbolsInGlobalScope_doNotTrackInDependencies.indexOf(n)===-1&&symbolsRightOfAssignment.indexOf(n)===-1&&symbolsRightOfAssignment.indexOf("'"+n)===-1&&!skipRootVariableToBeSolved){for(DEBUG&&console.log("... adding symbol: "+n+" to the set of the symbols right of assignment"),a="",t=r=1,s=functionInvokationsScanningStack.length;1<=s?r<s:r>s;t=1<=s?++r:--r)functionInvokationsScanningStack[t]!==""&&(a+=functionInvokationsScanningStack[t]+"_"+t+"_");return n=a+n,symbolsRightOfAssignment.push(n)}},addSymbolLeftOfAssignment=function(n){var t,r,a,s;if(predefinedSymbolsInGlobalScope_doNotTrackInDependencies.indexOf(n)===-1&&symbolsLeftOfAssignment.indexOf(n)===-1&&symbolsLeftOfAssignment.indexOf("'"+n)===-1&&!skipRootVariableToBeSolved){for(DEBUG&&console.log("... adding symbol: "+n+" to the set of the symbols left of assignment"),a="",t=r=1,s=functionInvokationsScanningStack.length;1<=s?r<s:r>s;t=1<=s?++r:--r)functionInvokationsScanningStack[t]!==""&&(a+=functionInvokationsScanningStack[t]+"_"+t+"_");return n=a+n,symbolsLeftOfAssignment.push(n)}},scan_symbol=function(){if(token!==T_SYMBOL&&scan_error("symbol expected"),meta_mode&&token_buf.length===1)switch(token_buf[0]){case"a":push(symbol(METAA));break;case"b":push(symbol(METAB));break;case"x":push(symbol(METAX));break;default:push(usr_symbol(token_buf))}else push(usr_symbol(token_buf));return scanningParameters.length===0?(DEBUG&&console.log("out of scanning parameters, processing "+token_buf),lastFoundSymbol=token_buf,isSymbolLeftOfAssignment&&addSymbolLeftOfAssignment(token_buf)):(DEBUG&&console.log("still scanning parameters, skipping "+token_buf),isSymbolLeftOfAssignment&&addSymbolRightOfAssignment("'"+token_buf)),DEBUG&&console.log("found symbol: "+token_buf+" left of assignment: "+isSymbolLeftOfAssignment),isSymbolLeftOfAssignment||addSymbolRightOfAssignment(token_buf),get_next_token()},scan_string=function(){return push(new_string(token_buf)),get_next_token()},scan_function_call_with_function_name=function(){var n,t,r,a,s,l;if(DEBUG&&console.log("-- scan_function_call_with_function_name start"),a=1,s=new U,s=usr_symbol(token_buf),push(s),n=token_buf,(n==="roots"||n==="defint"||n==="sum"||n==="product"||n==="for")&&functionInvokationsScanningStack.push(token_buf),lastFoundSymbol=token_buf,isSymbolLeftOfAssignment||addSymbolRightOfAssignment(token_buf),get_next_token(),get_next_token(),scanningParameters.push(!0),token!==")"){for(scan_stmt(),a++;token===",";)get_next_token(),a===2&&functionInvokationsScanningStack[functionInvokationsScanningStack.length-1].indexOf("roots")!==-1&&(symbolsRightOfAssignment=symbolsRightOfAssignment.filter(function(u){return!new RegExp("roots_"+(functionInvokationsScanningStack.length-1)+"_"+token_buf).test(u)}),skipRootVariableToBeSolved=!0),a===2&&functionInvokationsScanningStack[functionInvokationsScanningStack.length-1].indexOf("sum")!==-1&&(symbolsRightOfAssignment=symbolsRightOfAssignment.filter(function(u){return!new RegExp("sum_"+(functionInvokationsScanningStack.length-1)+"_"+token_buf).test(u)}),skipRootVariableToBeSolved=!0),a===2&&functionInvokationsScanningStack[functionInvokationsScanningStack.length-1].indexOf("product")!==-1&&(symbolsRightOfAssignment=symbolsRightOfAssignment.filter(function(u){return!new RegExp("product_"+(functionInvokationsScanningStack.length-1)+"_"+token_buf).test(u)}),skipRootVariableToBeSolved=!0),a===2&&functionInvokationsScanningStack[functionInvokationsScanningStack.length-1].indexOf("for")!==-1&&(symbolsRightOfAssignment=symbolsRightOfAssignment.filter(function(u){return!new RegExp("for_"+(functionInvokationsScanningStack.length-1)+"_"+token_buf).test(u)}),skipRootVariableToBeSolved=!0),functionInvokationsScanningStack[functionInvokationsScanningStack.length-1].indexOf("defint")!==-1&&(a===2||a>2&&(a-2)%3===0)&&(symbolsRightOfAssignment=symbolsRightOfAssignment.filter(function(u){return!new RegExp("defint_"+(functionInvokationsScanningStack.length-1)+"_"+token_buf).test(u)}),skipRootVariableToBeSolved=!0),scan_stmt(),skipRootVariableToBeSolved=!1,a++;a===2&&functionInvokationsScanningStack[functionInvokationsScanningStack.length-1].indexOf("roots")!==-1&&(symbolsRightOfAssignment=symbolsRightOfAssignment.filter(function(u){return!new RegExp("roots_"+(functionInvokationsScanningStack.length-1)+"_x").test(u)}))}for(scanningParameters.pop(),t=r=0,l=symbolsRightOfAssignment.length;0<=l?r<=l:r>=l;t=0<=l?++r:--r)symbolsRightOfAssignment[t]!=null&&(n==="roots"&&(symbolsRightOfAssignment[t]=symbolsRightOfAssignment[t].replace(new RegExp("roots_"+(functionInvokationsScanningStack.length-1)+"_"),"")),n==="defint"&&(symbolsRightOfAssignment[t]=symbolsRightOfAssignment[t].replace(new RegExp("defint_"+(functionInvokationsScanningStack.length-1)+"_"),"")),n==="sum"&&(symbolsRightOfAssignment[t]=symbolsRightOfAssignment[t].replace(new RegExp("sum_"+(functionInvokationsScanningStack.length-1)+"_"),"")),n==="product"&&(symbolsRightOfAssignment[t]=symbolsRightOfAssignment[t].replace(new RegExp("product_"+(functionInvokationsScanningStack.length-1)+"_"),"")),n==="for"&&(symbolsRightOfAssignment[t]=symbolsRightOfAssignment[t].replace(new RegExp("for_"+(functionInvokationsScanningStack.length-1)+"_"),"")));if(token!==")"&&scan_error(") expected"),get_next_token(),list(a),(n==="roots"||n==="defint"||n==="sum"||n==="product"||n==="for")&&functionInvokationsScanningStack.pop(),n===symbol(PATTERN).printname&&(patternHasBeenFound=!0),DEBUG)return console.log("-- scan_function_call_with_function_name end")},scan_function_call_without_function_name=function(){var n;if(DEBUG&&console.log("-- scan_function_call_without_function_name start"),push_symbol(EVAL),swap(),list(2),n=1,get_next_token(),scanningParameters.push(!0),token!==")")for(scan_stmt(),n++;token===",";)get_next_token(),scan_stmt(),n++;if(scanningParameters.pop(),token!==")"&&scan_error(") expected"),get_next_token(),list(n),DEBUG)return console.log("-- scan_function_call_without_function_name end: "+stack[tos-1])},scan_subexpr=function(){return token!=="("&&scan_error("( expected"),get_next_token(),scan_stmt(),token!==")"&&scan_error(") expected"),get_next_token()},scan_tensor=function(){var n;for(n=0,token!=="["&&scan_error("[ expected"),get_next_token(),scan_stmt(),n=1;token===",";)get_next_token(),scan_stmt(),n++;return build_tensor(n),token!=="]"&&scan_error("] expected"),get_next_token()},scan_error=function(n){for(errorMessage="";input_str!==scan_str&&!((scanned[input_str]===`
`||scanned[input_str]==="\r")&&input_str+1===scan_str);)errorMessage+=scanned[input_str++];for(errorMessage+=" ? ";scanned[input_str]&&scanned[input_str]!==`
`&&scanned[input_str]!=="\r";)errorMessage+=scanned[input_str++];return errorMessage+=`
`,stop(n)},build_tensor=function(n){var t,r,a;for(t=0,save(),p2=alloc_tensor(n),p2.tensor.ndim=1,p2.tensor.dim[0]=n,t=r=0,a=n;0<=a?r<a:r>a;t=0<=a?++r:--r)p2.tensor.elem[t]=stack[tos-n+t];return check_tensor_dimensions(p2),moveTos(tos-n),push(p2),restore()},get_next_token=function(){for(newline_flag=0;get_token(),token===T_NEWLINE;)newline_flag=1;if(DEBUG)return console.log("get_next_token token: "+token)},get_token=function(){for(;isspace(scanned[scan_str]);){if(scanned[scan_str]===`
`||scanned[scan_str]==="\r"){token=T_NEWLINE,scan_str++;return}scan_str++}if(token_str=scan_str,scan_str===scanned.length){token="";return}if(isdigit(scanned[scan_str])||scanned[scan_str]==="."){for(;isdigit(scanned[scan_str]);)scan_str++;if(scanned[scan_str]==="."){for(scan_str++;isdigit(scanned[scan_str]);)scan_str++;if(scanned[scan_str]==="e"&&(scanned[scan_str+1]==="+"||scanned[scan_str+1]==="-"||isdigit(scanned[scan_str+1])))for(scan_str+=2;isdigit(scanned[scan_str]);)scan_str++;token=T_DOUBLE}else token=T_INTEGER;update_token_buf(token_str,scan_str);return}if(isalpha(scanned[scan_str])){for(;isalnumorunderscore(scanned[scan_str]);)scan_str++;scanned[scan_str]==="("?token=T_FUNCTION:token=T_SYMBOL,update_token_buf(token_str,scan_str);return}if(scanned[scan_str]==='"'){for(scan_str++;scanned[scan_str]!=='"';)scan_str===scanned.length-1&&(scan_str++,scan_error("runaway string"),scan_str--),scan_str++;scan_str++,token=T_STRING,update_token_buf(token_str+1,scan_str-1);return}if(scanned[scan_str]==="#"||scanned[scan_str]==="-"&&scanned[scan_str+1]==="-"){for(;scanned[scan_str]&&scanned[scan_str]!==`
`&&scanned[scan_str]!=="\r";)scan_str++;scanned[scan_str]&&scan_str++,token=T_NEWLINE;return}if(scanned[scan_str]===":"&&scanned[scan_str+1]==="="){scan_str+=2,token=T_QUOTASSIGN;return}if(scanned[scan_str]==="="&&scanned[scan_str+1]==="="){scan_str+=2,token=T_EQ;return}if(scanned[scan_str]==="!"&&scanned[scan_str+1]==="="){scan_str+=2,token=T_NEQ;return}if(scanned[scan_str]==="<"&&scanned[scan_str+1]==="="){scan_str+=2,token=T_LTEQ;return}if(scanned[scan_str]===">"&&scanned[scan_str+1]==="="){scan_str+=2,token=T_GTEQ;return}return token=scanned[scan_str++]},update_token_buf=function(n,t){return token_buf=scanned.substring(n,t)},$.scan=scan,Eval_sgn=function(){return push(cadr(p1)),Eval(),sgn()},sgn=function(){return save(),yysgn(),restore()},yysgn=function(){if(p1=pop(),isdouble(p1))if(p1.d>0){push_integer(1);return}else if(p1.d===0){push_integer(1);return}else{push_integer(-1);return}if(isrational(p1))if(MSIGN(mmul(p1.q.a,p1.q.b))===-1){push_integer(-1);return}else if(MZERO(mmul(p1.q.a,p1.q.b))){push_integer(0);return}else{push_integer(1);return}if(iscomplexnumber(p1)){push_integer(-1),push(p1),absval(),power(),push(p1),multiply();return}if(isnegativeterm(p1)){push_symbol(SGN),push(p1),negate(),list(2),push_integer(-1),multiply();return}return push_symbol(SGN),push(p1),list(2)},Eval_shape=function(){return push(cadr(p1)),Eval(),shape()},shape=function(){var n,t,r,a,s,l,u,_;for(r=0,l=0,n=[],t=[],r=a=0,u=MAXDIM;0<=u?a<u:a>u;r=0<=u?++a:--a)n[r]=0,t[r]=0;if(save(),p1=pop(),!istensor(p1)){isZeroAtomOrTensor(p1)||stop("transpose: tensor expected, 1st arg is not a tensor"),push(zero),restore();return}for(l=p1.tensor.ndim,p2=alloc_tensor(l),p2.tensor.ndim=1,p2.tensor.dim[0]=l,r=s=0,_=l;0<=_?s<_:s>_;r=0<=_?++s:--s)push_integer(p1.tensor.dim[r]),p2.tensor.elem[r]=pop();return push(p2),restore()},simfac=function(){var n;if(n=0,save(),p1=pop(),car(p1)===symbol(ADD)){for(n=tos,p1=cdr(p1);p1!==symbol(NIL);)push(car(p1)),simfac_term(),p1=cdr(p1);add_all(tos-n)}else push(p1),simfac_term();return restore()},simfac_term=function(){var n;if(n=0,save(),p1=pop(),car(p1)!==symbol(MULTIPLY)){push(p1),restore();return}for(n=tos,p1=cdr(p1);p1!==symbol(NIL);)push(car(p1)),p1=cdr(p1);for(;yysimfac(n););return multiply_all_noexpand(tos-n),restore()},yysimfac=function(n){var t,r,a,s,l,u,_,m;for(t=0,r=0,t=a=l=n,u=tos;l<=u?a<u:a>u;t=l<=u?++a:--a)for(p1=stack[t],r=s=_=n,m=tos;_<=m?s<m:s>m;r=_<=m?++s:--s)if(t!==r){if(p2=stack[r],car(p1)===symbol(FACTORIAL)&&car(p2)===symbol(POWER)&&isminusone(caddr(p2))&&equal(cadr(p1),cadr(p2)))return push(cadr(p1)),push(one),subtract(),factorial(),stack[t]=pop(),stack[r]=one,1;if(car(p2)===symbol(POWER)&&isminusone(caddr(p2))&&caadr(p2)===symbol(FACTORIAL)&&equal(p1,cadadr(p2)))return push(p1),push_integer(-1),add(),factorial(),reciprocate(),stack[t]=pop(),stack[r]=one,1;if(car(p2)===symbol(FACTORIAL)&&(push(p1),push(cadr(p2)),subtract(),p3=pop(),isplusone(p3)))return push(p1),factorial(),stack[t]=pop(),stack[r]=one,1;if(car(p1)===symbol(POWER)&&isminusone(caddr(p1))&&car(p2)===symbol(POWER)&&isminusone(caddr(p2))&&caadr(p2)===symbol(FACTORIAL)&&(push(cadr(p1)),push(cadr(cadr(p2))),subtract(),p3=pop(),isplusone(p3)))return push(cadr(p1)),factorial(),reciprocate(),stack[t]=pop(),stack[r]=one,1;if(car(p1)===symbol(FACTORIAL)&&car(p2)===symbol(POWER)&&isminusone(caddr(p2))&&caadr(p2)===symbol(FACTORIAL)){if(push(cadr(p1)),push(cadr(cadr(p2))),subtract(),p3=pop(),isplusone(p3))return stack[t]=cadr(p1),stack[r]=one,1;if(isminusone(p3))return push(cadr(cadr(p2))),reciprocate(),stack[t]=pop(),stack[r]=one,1;if(equaln(p3,2))return stack[t]=cadr(p1),push(cadr(p1)),push_integer(-1),add(),stack[r]=pop(),1;if(equaln(p3,-2))return push(cadr(cadr(p2))),reciprocate(),stack[t]=pop(),push(cadr(cadr(p2))),push_integer(-1),add(),reciprocate(),stack[r]=pop(),1}}return 0},DEBUG_SIMPLIFY=!1,Eval_simplify=function(){return push(cadr(p1)),runUserDefinedSimplifications(),Eval(),simplify()},runUserDefinedSimplifications=function(){var n,t,r,a,s,l,u,_,m,g;if(userSimplificationsInListForm.length!==0&&!Find(cadr(p1),symbol(INTEGRAL))){for(m=expanding,expanding=!1,DEBUG_SIMPLIFY&&console.log("runUserDefinedSimplifications passed: "+stack[tos-1].toString()),Eval(),DEBUG_SIMPLIFY&&console.log("runUserDefinedSimplifications after eval no expanding: "+stack[tos-1].toString()),expanding=m,p1=stack[tos-1],DEBUG_SIMPLIFY&&console.log("patterns to be checked: "),a=0,s=userSimplificationsInListForm.length;a<s;a++)r=userSimplificationsInListForm[a],DEBUG_SIMPLIFY&&console.log("..."+r);for(n=!0,_=0;n&&_<MAX_CONSECUTIVE_APPLICATIONS_OF_ALL_RULES;)for(n=!1,_++,u=0,l=userSimplificationsInListForm.length;u<l;u++){for(r=userSimplificationsInListForm[u],g=!0,t=0;g&&t<MAX_CONSECUTIVE_APPLICATIONS_OF_SINGLE_RULE;)t++,DEBUG_SIMPLIFY&&console.log("simplify - tos: "+tos+" checking pattern: "+r+" on: "+p1),push_symbol(NIL),g=transform(r,!0),g&&(n=!0),p1=stack[tos-1],DEBUG_SIMPLIFY&&console.log("p1 at this stage of simplification: "+p1);t===MAX_CONSECUTIVE_APPLICATIONS_OF_SINGLE_RULE&&stop("maximum application of single transformation rule exceeded: "+r)}if(_===MAX_CONSECUTIVE_APPLICATIONS_OF_ALL_RULES&&stop("maximum application of all transformation rules exceeded "),DEBUG_SIMPLIFY&&console.log("METAX = "+get_binding(symbol(METAX))),DEBUG_SIMPLIFY&&console.log("METAA = "+get_binding(symbol(METAA))),DEBUG_SIMPLIFY)return console.log("METAB = "+get_binding(symbol(METAB)))}},simplifyForCodeGeneration=function(){return save(),runUserDefinedSimplifications(),codeGen=!0,simplify_main(),codeGen=!1,restore()},simplify=function(){return save(),simplify_main(),restore()},simplify_main=function(){var args,fbody;if(p1=pop(),codeGen&&car(p1)===symbol(FUNCTION)&&(fbody=cadr(p1),push(fbody),eval(),simplify(),p3=pop(),args=caddr(p1),push_symbol(FUNCTION),push(p3),push(args),list(3),p1=pop()),istensor(p1)){simplify_tensor();return}if(Find(p1,symbol(FACTORIAL))&&(push(p1),simfac(),p2=pop(),push(p1),rationalize(),simfac(),p3=pop(),count(p2)<count(p3)?p1=p2:p1=p3),f10(),DEBUG_SIMPLIFY&&console.log("f10: "+p1.toString()),f1(),DEBUG_SIMPLIFY&&console.log("f1: "+p1.toString()),f2(),DEBUG_SIMPLIFY&&console.log("f2: "+p1.toString()),f3(),DEBUG_SIMPLIFY&&console.log("f3: "+p1.toString()),f4(),DEBUG_SIMPLIFY&&console.log("f4: "+p1.toString()),f5(),DEBUG_SIMPLIFY&&console.log("f5: "+p1.toString()),f9(),DEBUG_SIMPLIFY&&console.log("f9: "+p1.toString()),simplify_polarRect(),do_simplify_nested_radicals&&simplify_nested_radicals()){DEBUG_SIMPLIFY&&console.log("de-nesting successful into: "+p1.toString()),push(p1),simplify();return}return simplify_rectToClock(),simplify_rational_expressions(),push(p1)},simplify_tensor=function(){var n,t,r,a,s;for(n=0,p2=alloc_tensor(p1.tensor.nelem),p2.tensor.ndim=p1.tensor.ndim,n=t=0,a=p1.tensor.ndim;0<=a?t<a:t>a;n=0<=a?++t:--t)p2.tensor.dim[n]=p1.tensor.dim[n];for(n=r=0,s=p1.tensor.nelem;0<=s?r<s:r>s;n=0<=s?++r:--r)push(p1.tensor.elem[n]),simplify(),p2.tensor.elem[n]=pop();return check_tensor_dimensions(p2),isZeroAtomOrTensor(p2)&&(p2=zero),push(p2)},f1=function(){if(car(p1)===symbol(ADD)&&(push(p1),rationalize(),p2=pop(),count(p2)<count(p1)))return p1=p2},f2=function(){if(car(p1)===symbol(ADD)&&(push(p1),Condense(),p2=pop(),count(p2)<=count(p1)))return p1=p2},f3=function(){if(push(p1),rationalize(),negate(),rationalize(),negate(),rationalize(),p2=pop(),count(p2)<count(p1))return p1=p2},f10=function(){var n,t,r,a;if(r=car(p1),cdr(p1),(r===symbol(MULTIPLY)||isinnerordot(p1))&&car(car(cdr(p1)))===symbol(TRANSPOSE)&&car(car(cdr(cdr(p1))))===symbol(TRANSPOSE)&&(DEBUG_SIMPLIFY&&console.log("maybe collecting a transpose "+p1),n=cadr(car(cdr(p1))),t=cadr(car(cdr(cdr(p1)))),r===symbol(MULTIPLY)?(push(n),push(t),multiply()):isinnerordot(p1)&&(push(t),push(n),inner()),push_integer(1),push_integer(2),a=expanding,expanding=!1,transpose(),expanding=a,p2=pop(),count(p2)<count(p1)&&(p1=p2),DEBUG_SIMPLIFY))return console.log("collecting a transpose "+p2)},f4=function(){if(!isZeroAtomOrTensor(p1)&&(push(p1),rationalize(),inverse(),rationalize(),inverse(),rationalize(),p2=pop(),count(p2)<count(p1)))return p1=p2},simplify_trig=function(){return save(),p1=pop(),f5(),push(p1),restore()},f5=function(){if(!(Find(p1,symbol(SIN))===0&&Find(p1,symbol(COS))===0)&&(p2=p1,trigmode=1,push(p2),Eval(),p3=pop(),trigmode=2,push(p2),Eval(),p4=pop(),trigmode=0,(count(p4)<count(p3)||nterms(p4)<nterms(p3))&&(p3=p4),count(p3)<count(p1)||nterms(p3)<nterms(p1)))return p1=p3},f9=function(){var n,t;if(car(p1)===symbol(ADD)){for(push_integer(0),p2=cdr(p1);iscons(p2);)push(car(p2)),simplify(),add(),n=p1,t=p2,p1=pop(),simplify_rational_expressions(),push(p1),p1=n,p2=t,p2=cdr(p2);if(p2=pop(),count(p2)<count(p1))return p1=p2}},simplify_rational_expressions=function(){var n,t,r,a;if(push(p1),denominator(),n=pop(),!isone(n)&&(push(p1),numerator(),t=pop(),!isone(t)&&(r=areunivarpolysfactoredorexpandedform(t,n))&&(push(t),push(n),gcd(),push(r),factor(),a=pop(),!isone(a)&&(push(t),push(r),factor(),push(a),inverse(),multiply_noexpand(),simplify(),stack[tos-1].toString(),push(n),push(r),factor(),push(a),inverse(),multiply_noexpand(),simplify(),stack[tos-1].toString(),divide(),Condense(),stack[tos-1].toString(),p2=pop(),count(p2)<count(p1)))))return p1=p2},simplify_rectToClock=function(){if(!(Find(p1,symbol(SIN))===0&&Find(p1,symbol(COS))===0)&&(push(p1),Eval(),clockform(),p2=pop(),DEBUG_SIMPLIFY&&console.log("before simplification clockform: "+p1+" after: "+p2),count(p2)<count(p1)))return p1=p2},simplify_polarRect=function(){if(push(p1),polarRectAMinusOneBase(),Eval(),p2=pop(),count(p2)<count(p1))return p1=p2},polarRectAMinusOneBase=function(){var n;if(save(),p1=pop(),isimaginaryunit(p1)){push(p1),restore();return}if(equal(car(p1),symbol(POWER))&&isminusone(cadr(p1)))push(one),negate(),push(caddr(p1)),polarRectAMinusOneBase(),power(),polar(),rect();else if(iscons(p1)){for(n=tos;iscons(p1);)push(car(p1)),polarRectAMinusOneBase(),p1=cdr(p1);list(tos-n)}else push(p1);restore()},nterms=function(n){return car(n)!==symbol(ADD)?1:length(n)-1},simplify_nested_radicals=function(){var n,t,r,a;return recursionLevelNestedRadicalsRemoval>0?(DEBUG_SIMPLIFY&&console.log("denesting bailing out because of too much recursion"),!1):(push(p1),a=take_care_of_nested_radicals(),r=stack[tos-1],n=expanding,expanding=0,yycondense(),expanding=n,t=pop(),countOccurrencesOfSymbol(symbol(POWER),r)<countOccurrencesOfSymbol(symbol(POWER),t)?push(r):push(t),p1=pop(),a)},take_care_of_nested_radicals=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0,h0,_0,c0;if(recursionLevelNestedRadicalsRemoval>0)return DEBUG_SIMPLIFY&&console.log("denesting bailing out because of too much recursion"),!1;if(save(),p1=pop(),equal(car(p1),symbol(POWER)))if(l=cadr(p1),x=caddr(p1),!isminusone(x)&&equal(car(l),symbol(ADD))&&isfraction(x)&&(equalq(x,1,3)||equalq(x,1,2))){for(w=cadr(l),push(w),take_care_of_nested_radicals(),pop(),t0=caddr(l),push(t0),take_care_of_nested_radicals(),pop(),cc=0,g=l;cdr(g)!==symbol(NIL);)cc++,g=cdr(g);if(cc>2)return push(p1),restore(),!1;if(m=null,_=[],_0=[],car(t0)===symbol(MULTIPLY)){if(h0=cdr(t0),iscons(h0))for(;iscons(h0);)Jc=car(h0),car(Jc)===symbol(POWER)?(ne=cadr(Jc),$e=caddr(Jc),equalq($e,1,2)&&(m==null?(m=$e,_.push(ne)):equal($e,m)&&_.push(ne))):_0.push(Jc),h0=cdr(h0)}else car(t0)===symbol(POWER)&&(ne=cadr(t0),$e=caddr(t0),m==null&&equalq($e,1,2)&&(m=$e,_.push(ne)));if(_.length===0)return push(p1),restore(),!1;for(n=w,push_integer(1),Ie=0,Dt=_.length;Ie<Dt;Ie++)Ce=_[Ie],push(Ce),multiply();for(r=pop(),push_integer(1),ac=0,Lr=_0.length;ac<Lr;ac++)Ce=_0[ac],push(Ce),multiply();if(t=pop(),equalq(x,1,3)){if(push(n),negate(),push(r),multiply(),push(t),divide(),u=pop(),push(u),real(),yyfloat(),Math.abs(pop().d)>Math.pow(2,32))return push(p1),restore(),!1;if(push(u),push_integer(3),push(r),multiply(),u=pop(),push(u),real(),yyfloat(),Math.abs(pop().d)>Math.pow(2,32))return pop(),push(p1),restore(),!1;if(push(u),push(symbol(SECRETX)),multiply(),push_integer(-3),push(n),multiply(),push(t),divide(),u=pop(),push(u),real(),yyfloat(),Math.abs(pop().d)>Math.pow(2,32))return pop(),pop(),push(p1),restore(),!1;push(u),push(symbol(SECRETX)),push_integer(2),power(),multiply(),push_integer(1),push(symbol(SECRETX)),push_integer(3),power(),multiply(),add(),add(),add()}else if(equalq(x,1,2)){if(push(r),u=pop(),push(u),real(),yyfloat(),Math.abs(pop().d)>Math.pow(2,32))return push(p1),restore(),!1;if(push(u),push_integer(-2),push(n),multiply(),push(t),divide(),u=pop(),push(u),real(),yyfloat(),Math.abs(pop().d)>Math.pow(2,32))return pop(),push(p1),restore(),!1;push(u),push(symbol(SECRETX)),multiply(),push_integer(1),push(symbol(SECRETX)),push_integer(2),power(),multiply(),add(),add()}if(push(symbol(SECRETX)),recursionLevelNestedRadicalsRemoval++,roots(),recursionLevelNestedRadicalsRemoval--,equal(stack[tos-1],symbol(NIL)))return DEBUG_SIMPLIFY&&console.log("roots bailed out because of too much recursion"),pop(),push(p1),restore(),!1;for(kc=[],d0=stack[tos-1].tensor.elem,sc=0,ec=d0.length;sc<ec;sc++)f=d0[sc],Find(f,symbol(POWER))||kc.push(f);if(pop(),kc.length===0)return push(p1),restore(),!1;for(dc=[],n0=[],uc=0,ys=kc.length;uc<ys;uc++)Ce=kc[uc],push(Ce),real(),yyfloat(),dc.push(Ce),n0.push(pop().d);return c0=n0.indexOf(Math.max.apply(Math,n0)),a=dc[c0],equalq(x,1,3)?(push(n),push(a),push_integer(3),power(),push_integer(3),push(r),multiply(),push(a),multiply(),add(),divide(),push_rational(1,3),power()):equalq(x,1,2)&&(push(n),push(a),push_integer(2),power(),push(r),add(),divide(),push_rational(1,2),power()),nc=pop(),nc==null?(push(p1),restore(),!1):(push(nc),push(a),multiply(),equalq(x,1,3)?(tc=pop(),push(nc),push(r),push_rational(1,2),power(),multiply(),push(tc),add(),simplify()):equalq(x,1,2)&&(tc=pop(),push(nc),push(r),push_rational(1,2),power(),multiply(),push(tc),add(),simplify(),lc=pop(),push(lc),real(),yyfloat(),e0=pop(),isnegativenumber(e0)?(push(nc),negate(),nc=pop(),push(tc),negate(),tc=pop(),push(nc),push(r),push_rational(1,2),power(),multiply(),push(tc),add(),simplify()):push(lc)),p1=pop(),push(p1),restore(),!0)}else return push(p1),restore(),!1;else if(iscons(p1)){for(Z=tos,s=!1;iscons(p1);)push(car(p1)),s=s||take_care_of_nested_radicals(),p1=cdr(p1);return list(tos-Z),restore(),s}else return push(p1),restore(),!1},Eval_sin=function(){return push(cadr(p1)),Eval(),sine()},sine=function(){return save(),p1=pop(),car(p1)===symbol(ADD)?sine_of_angle_sum():sine_of_angle(),restore()},sine_of_angle_sum=function(){for(p2=cdr(p1);iscons(p2);){if(p4=car(p2),isnpi(p4)){push(p1),push(p4),subtract(),p3=pop(),push(p3),sine(),push(p4),cosine(),multiply(),push(p3),cosine(),push(p4),sine(),multiply(),add();return}p2=cdr(p2)}return sine_of_angle()},sine_of_angle=function(){var n,t;if(car(p1)===symbol(ARCSIN)){push(cadr(p1));return}if(isdouble(p1)){n=Math.sin(p1.d),Math.abs(n)<1e-10&&(n=0),push_double(n);return}if(isnegative(p1)){push(p1),negate(),sine(),negate();return}if(car(p1)===symbol(ARCTAN)){push(cadr(p1)),push_integer(1),push(cadr(p1)),push_integer(2),power(),add(),push_rational(-1,2),power(),multiply();return}if(push(p1),push_integer(180),multiply(),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),divide(),t=pop_integer(),t<0||isNaN(t)){push(symbol(SIN)),push(p1),list(2);return}switch(t%360){case 0:case 180:return push_integer(0);case 30:case 150:return push_rational(1,2);case 210:case 330:return push_rational(-1,2);case 45:case 135:return push_rational(1,2),push_integer(2),push_rational(1,2),power(),multiply();case 225:case 315:return push_rational(-1,2),push_integer(2),push_rational(1,2),power(),multiply();case 60:case 120:return push_rational(1,2),push_integer(3),push_rational(1,2),power(),multiply();case 240:case 300:return push_rational(-1,2),push_integer(3),push_rational(1,2),power(),multiply();case 90:return push_integer(1);case 270:return push_integer(-1);default:return push(symbol(SIN)),push(p1),list(2)}},Eval_sinh=function(){return push(cadr(p1)),Eval(),ysinh()},ysinh=function(){return save(),yysinh(),restore()},yysinh=function(){var n;if(n=0,p1=pop(),car(p1)===symbol(ARCSINH)){push(cadr(p1));return}if(isdouble(p1)){n=Math.sinh(p1.d),Math.abs(n)<1e-10&&(n=0),push_double(n);return}if(isZeroAtomOrTensor(p1)){push(zero);return}return push_symbol(SINH),push(p1),list(2)},subst=function(){var n,t,r,a,s,l,u,_,m;if(save(),s=pop(),u=pop(),u===symbol(NIL)||s===symbol(NIL)){restore();return}if(n=pop(),istensor(n)){for(l=alloc_tensor(n.tensor.nelem),l.tensor.ndim=n.tensor.ndim,t=r=0,_=n.tensor.ndim;0<=_?r<_:r>_;t=0<=_?++r:--r)l.tensor.dim[t]=n.tensor.dim[t];for(t=a=0,m=n.tensor.nelem;0<=m?a<m:a>m;t=0<=m?++a:--a)push(n.tensor.elem[t]),push(u),push(s),subst(),l.tensor.elem[t]=pop(),check_tensor_dimensions(l);push(l)}else equal(n,u)?push(s):iscons(n)?(push(car(n)),push(u),push(s),subst(),push(cdr(n)),push(u),push(s),subst(),cons()):push(n);return restore()},Eval_sum=function(){var n,t,r,a,s,l,u,_;if(t=0,a=0,s=0,n=cadr(p1),r=caddr(p1),issymbol(r)||stop("sum: 2nd arg?"),push(cadddr(p1)),Eval(),a=pop_integer(),isNaN(a)){push(p1);return}if(push(caddddr(p1)),Eval(),s=pop_integer(),isNaN(s)){push(p1);return}for(p4=get_binding(r),push_integer(0),t=l=u=a,_=s;u<=_?l<=_:l>=_;t=u<=_?++l:--l)push_integer(t),p5=pop(),set_binding(r,p5),push(n),Eval(),add();return set_binding(r,p4)},Eval_tan=function(){return push(cadr(p1)),Eval(),tangent()},tangent=function(){return save(),yytangent(),restore()},yytangent=function(){var n,t;if(t=0,n=0,p1=pop(),car(p1)===symbol(ARCTAN)){push(cadr(p1));return}if(isdouble(p1)){n=Math.tan(p1.d),Math.abs(n)<1e-10&&(n=0),push_double(n);return}if(isnegative(p1)){push(p1),negate(),tangent(),negate();return}if(push(p1),push_integer(180),multiply(),evaluatingAsFloats?push_double(Math.PI):push_symbol(PI),divide(),t=pop_integer(),t<0||isNaN(t)){push(symbol(TAN)),push(p1),list(2);return}switch(t%360){case 0:case 180:return push_integer(0);case 30:case 210:return push_rational(1,3),push_integer(3),push_rational(1,2),power(),multiply();case 150:case 330:return push_rational(-1,3),push_integer(3),push_rational(1,2),power(),multiply();case 45:case 225:return push_integer(1);case 135:case 315:return push_integer(-1);case 60:case 240:return push_integer(3),push_rational(1,2),power();case 120:case 300:return push_integer(3),push_rational(1,2),power(),negate();default:return push(symbol(TAN)),push(p1),list(2)}},Eval_tanh=function(){var n;if(n=0,push(cadr(p1)),Eval(),p1=pop(),car(p1)===symbol(ARCTANH)){push(cadr(p1));return}if(isdouble(p1)){n=Math.tanh(p1.d),Math.abs(n)<1e-10&&(n=0),push_double(n);return}if(isZeroAtomOrTensor(p1)){push(zero);return}return push_symbol(TANH),push(p1),list(2)},Eval_taylor=function(){return p1=cdr(p1),push(car(p1)),Eval(),p1=cdr(p1),push(car(p1)),Eval(),p2=pop(),p2===symbol(NIL)?guess():push(p2),p1=cdr(p1),push(car(p1)),Eval(),p2=pop(),p2===symbol(NIL)?push_integer(24):push(p2),p1=cdr(p1),push(car(p1)),Eval(),p2=pop(),p2===symbol(NIL)?push_integer(0):push(p2),taylor()},taylor=function(){var n,t,r,a;if(n=0,t=0,save(),p4=pop(),p3=pop(),p2=pop(),p1=pop(),push(p3),t=pop_integer(),isNaN(t)){push_symbol(TAYLOR),push(p1),push(p2),push(p3),push(p4),list(5),restore();return}for(push(p1),push(p2),push(p4),subst(),Eval(),push_integer(1),p5=pop(),n=r=1,a=t;(1<=a?r<=a:r>=a)&&(push(p1),push(p2),derivative(),p1=pop(),!isZeroAtomOrTensor(p1));n=1<=a?++r:--r)push(p5),push(p2),push(p4),subtract(),multiply(),p5=pop(),push(p1),push(p2),push(p4),subst(),Eval(),push(p5),multiply(),push_integer(n),factorial(),divide(),add();return restore()},Eval_tensor=function(){var n,t,r,a,s,l,u,_,m;for(r=0,l=0,u=0,check_tensor_dimensions(p1),u=p1.tensor.nelem,l=p1.tensor.ndim,p2=alloc_tensor(u),p2.tensor.ndim=l,r=a=0,_=l;0<=_?a<_:a>_;r=0<=_?++a:--a)p2.tensor.dim[r]=p1.tensor.dim[r];for(n=p1.tensor.elem,t=p2.tensor.elem,check_tensor_dimensions(p2),r=s=0,m=u;0<=m?s<m:s>m;r=0<=m?++s:--s)push(n[r]),Eval(),t[r]=pop();return check_tensor_dimensions(p1),check_tensor_dimensions(p2),push(p2),promote_tensor()},tensor_plus_tensor=function(){var n,t,r,a,s,l,u,_,m,g,f,x;if(a=0,_=0,m=0,save(),p2=pop(),p1=pop(),_=p1.tensor.ndim,_!==p2.tensor.ndim){push(symbol(NIL)),restore();return}for(a=s=0,g=_;0<=g?s<g:s>g;a=0<=g?++s:--s)if(p1.tensor.dim[a]!==p2.tensor.dim[a]){push(symbol(NIL)),restore();return}for(m=p1.tensor.nelem,p3=alloc_tensor(m),p3.tensor.ndim=_,a=l=0,f=_;0<=f?l<f:l>f;a=0<=f?++l:--l)p3.tensor.dim[a]=p1.tensor.dim[a];for(n=p1.tensor.elem,t=p2.tensor.elem,r=p3.tensor.elem,a=u=0,x=m;0<=x?u<x:u>x;a=0<=x?++u:--u)push(n[a]),push(t[a]),add(),r[a]=pop();return push(p3),restore()},tensor_times_scalar=function(){var n,t,r,a,s,l,u,_,m;for(r=0,l=0,u=0,save(),p2=pop(),p1=pop(),l=p1.tensor.ndim,u=p1.tensor.nelem,p3=alloc_tensor(u),p3.tensor.ndim=l,r=a=0,_=l;0<=_?a<_:a>_;r=0<=_?++a:--a)p3.tensor.dim[r]=p1.tensor.dim[r];for(n=p1.tensor.elem,t=p3.tensor.elem,r=s=0,m=u;0<=m?s<m:s>m;r=0<=m?++s:--s)push(n[r]),push(p2),multiply(),t[r]=pop();return push(p3),restore()},scalar_times_tensor=function(){var n,t,r,a,s,l,u,_,m;for(r=0,l=0,u=0,save(),p2=pop(),p1=pop(),l=p2.tensor.ndim,u=p2.tensor.nelem,p3=alloc_tensor(u),p3.tensor.ndim=l,r=a=0,_=l;0<=_?a<_:a>_;r=0<=_?++a:--a)p3.tensor.dim[r]=p2.tensor.dim[r];for(n=p2.tensor.elem,t=p3.tensor.elem,r=s=0,m=u;0<=m?s<m:s>m;r=0<=m?++s:--s)push(p1),push(n[r]),multiply(),t[r]=pop();return push(p3),restore()},check_tensor_dimensions=function(n){if(n.tensor.nelem!==n.tensor.elem.length){console.log("something wrong in tensor dimensions");debugger}},d_tensor_tensor=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w;if(a=0,s=0,m=0,g=0,m=p1.tensor.ndim,g=p1.tensor.nelem,m+1>=MAXDIM){push_symbol(DERIVATIVE),push(p1),push(p2),list(3);return}for(p3=alloc_tensor(g*p2.tensor.nelem),p3.tensor.ndim=m+1,a=l=0,f=m;0<=f?l<f:l>f;a=0<=f?++l:--l)p3.tensor.dim[a]=p1.tensor.dim[a];for(p3.tensor.dim[m]=p2.tensor.dim[0],n=p1.tensor.elem,t=p2.tensor.elem,r=p3.tensor.elem,a=u=0,x=g;0<=x?u<x:u>x;a=0<=x?++u:--u)for(s=_=0,w=p2.tensor.nelem;0<=w?_<w:_>w;s=0<=w?++_:--_)push(n[a]),push(t[s]),derivative(),r[a*p2.tensor.nelem+s]=pop();return push(p3)},d_scalar_tensor=function(){var n,t,r,a,s;for(p3=alloc_tensor(p2.tensor.nelem),p3.tensor.ndim=1,p3.tensor.dim[0]=p2.tensor.dim[0],n=p2.tensor.elem,t=p3.tensor.elem,r=a=0,s=p2.tensor.nelem;0<=s?a<s:a>s;r=0<=s?++a:--a)push(p1),push(n[r]),derivative(),t[r]=pop();return push(p3)},d_tensor_scalar=function(){var n,t,r,a,s,l,u;for(r=0,p3=alloc_tensor(p1.tensor.nelem),p3.tensor.ndim=p1.tensor.ndim,r=a=0,l=p1.tensor.ndim;0<=l?a<l:a>l;r=0<=l?++a:--a)p3.tensor.dim[r]=p1.tensor.dim[r];for(n=p1.tensor.elem,t=p3.tensor.elem,r=s=0,u=p1.tensor.nelem;0<=u?s<u:s>u;r=0<=u?++s:--s)push(n[r]),push(p2),derivative(),t[r]=pop();return push(p3)},compare_tensors=function(n,t){var r,a,s,l,u;if(r=0,n.tensor.ndim<t.tensor.ndim)return-1;if(n.tensor.ndim>t.tensor.ndim)return 1;for(r=a=0,l=n.tensor.ndim;0<=l?a<l:a>l;r=0<=l?++a:--a){if(n.tensor.dim[r]<t.tensor.dim[r])return-1;if(n.tensor.dim[r]>t.tensor.dim[r])return 1}for(r=s=0,u=n.tensor.nelem;0<=u?s<u:s>u;r=0<=u?++s:--s)if(!equal(n.tensor.elem[r],t.tensor.elem[r]))return lessp(n.tensor.elem[r],t.tensor.elem[r])?-1:1;return 0},power_tensor=function(){var n,t,r,a,s,l,u,_;if(n=0,t=0,s=0,t=p1.tensor.ndim-1,p1.tensor.dim[0]!==p1.tensor.dim[t]){push_symbol(POWER),push(p1),push(p2),list(3);return}if(push(p2),s=pop_integer(),isNaN(s)){push_symbol(POWER),push(p1),push(p2),list(3);return}if(s===0){for(p1.tensor.ndim!==2&&stop("power(tensor,0) with tensor rank not equal to 2"),s=p1.tensor.dim[0],p1=alloc_tensor(s*s),p1.tensor.ndim=2,p1.tensor.dim[0]=s,p1.tensor.dim[1]=s,n=r=0,l=s;0<=l?r<l:r>l;n=0<=l?++r:--r)p1.tensor.elem[s*n+n]=one;check_tensor_dimensions(p1),push(p1);return}for(s<0&&(s=-s,push(p1),inv(),p1=pop()),push(p1),_=[],n=a=1,u=s;(1<=u?a<u:a>u)&&(push(p1),inner(),!isZeroAtomOrTensor(stack[tos-1]));n=1<=u?++a:--a)_.push(void 0);return _},copy_tensor=function(){var n,t,r,a,s;for(n=0,save(),p1=pop(),p2=alloc_tensor(p1.tensor.nelem),p2.tensor.ndim=p1.tensor.ndim,n=t=0,a=p1.tensor.ndim;0<=a?t<a:t>a;n=0<=a?++t:--t)p2.tensor.dim[n]=p1.tensor.dim[n];for(n=r=0,s=p1.tensor.nelem;0<=s?r<s:r>s;n=0<=s?++r:--r)p2.tensor.elem[n]=p1.tensor.elem[n];return check_tensor_dimensions(p1),check_tensor_dimensions(p2),push(p2),restore()},promote_tensor=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce;if(n=0,t=0,r=0,_=0,u=0,save(),p1=pop(),!istensor(p1)){push(p1),restore();return}for(p2=p1.tensor.elem[0],n=a=1,f=p1.tensor.nelem;1<=f?a<f:a>f;n=1<=f?++a:--a)compatible(p2,p1.tensor.elem[n])||stop("Cannot promote tensor due to inconsistent tensor components.");if(!istensor(p2)){push(p1),restore();return}for(u=p1.tensor.ndim+p2.tensor.ndim,u>MAXDIM&&stop("tensor rank > "+MAXDIM),_=p1.tensor.nelem*p2.tensor.nelem,p3=alloc_tensor(_),p3.tensor.ndim=u,n=s=0,x=p1.tensor.ndim;0<=x?s<x:s>x;n=0<=x?++s:--s)p3.tensor.dim[n]=p1.tensor.dim[n];for(t=l=0,w=p2.tensor.ndim;0<=w?l<w:l>w;t=0<=w?++l:--l)p3.tensor.dim[n+t]=p2.tensor.dim[t];for(r=0,n=m=0,Z=p1.tensor.nelem;0<=Z?m<Z:m>Z;n=0<=Z?++m:--m)for(p2=p1.tensor.elem[n],t=g=0,Ce=p2.tensor.nelem;0<=Ce?g<Ce:g>Ce;t=0<=Ce?++g:--g)p3.tensor.elem[r++]=p2.tensor.elem[t];return check_tensor_dimensions(p2),check_tensor_dimensions(p3),push(p3),restore()},compatible=function(n,t){var r,a,s;if(!istensor(n)&&!istensor(t))return 1;if(!istensor(n)||!istensor(t)||n.tensor.ndim!==t.tensor.ndim)return 0;for(r=a=0,s=n.tensor.ndim;0<=s?a<s:a>s;r=0<=s?++a:--a)if(n.tensor.dim[r]!==t.tensor.dim[r])return 0;return 1},Eval_test=function(){var n,t;for(t=p1,p1=cdr(p1);iscons(p1);){if(cdr(p1)===symbol(NIL)){push(car(p1)),Eval();return}if(n=isZeroLikeOrNonZeroLikeOrUndetermined(car(p1)),n==null){push(t);return}else if(n){push(cadr(p1)),Eval();return}else p1=cddr(p1)}return push_integer(0)},Eval_testeq=function(){var n,t,r;if(t=p1,push(cadr(p1)),Eval(),push(caddr(p1)),Eval(),subtract(),r=pop(),n=isZeroLikeOrNonZeroLikeOrUndetermined(r),n){push_integer(0);return}else if(n!=null&&!n){push_integer(1);return}if(push(cadr(p1)),Eval(),simplify(),push(caddr(p1)),Eval(),simplify(),subtract(),r=pop(),n=isZeroLikeOrNonZeroLikeOrUndetermined(r),n){push_integer(0);return}else if(n!=null&&!n){push_integer(1);return}return push(t)},Eval_testge=function(){var n,t;if(t=p1,n=cmp_args(),n==null){push(t);return}return n>=0?push_integer(1):push_integer(0)},Eval_testgt=function(){var n,t;if(t=p1,n=cmp_args(),n==null){push(t);return}return n>0?push_integer(1):push_integer(0)},Eval_testle=function(){var n,t;if(t=p1,n=cmp_args(),n==null){push(t);return}return n<=0?push_integer(1):push_integer(0)},Eval_testlt=function(){var n,t;if(t=p1,n=cmp_args(),n==null){push(t);return}return n<0?push_integer(1):push_integer(0)},Eval_not=function(){var n,t;return t=p1,n=isZeroLikeOrNonZeroLikeOrUndetermined(cadr(p1)),n==null?push(t):push_integer(n?0:1)},Eval_and=function(){var n,t,r,a;for(a=p1,n=cdr(a),r=!1;iscons(n);)if(t=isZeroLikeOrNonZeroLikeOrUndetermined(car(n)),t==null)r=!0,n=cdr(n);else if(t)n=cdr(n);else if(!t){push_integer(0);return}return r?push(a):push_integer(1)},Eval_or=function(){var n,t,r,a;for(a=p1,t=cdr(a),r=!1;iscons(t);)if(n=isZeroLikeOrNonZeroLikeOrUndetermined(car(t)),n==null)r=!0,t=cdr(t);else if(n){push_integer(1);return}else n||(t=cdr(t));return r?push(a):push_integer(0)},cmp_args=function(){var n;if(n=0,push(cadr(p1)),Eval(),simplify(),push(caddr(p1)),Eval(),simplify(),subtract(),p1=pop(),p1.k!==NUM&&p1.k!==DOUBLE&&(push(p1),yyfloat(),Eval(),p1=pop()),isZeroAtomOrTensor(p1))return 0;switch(p1.k){case NUM:MSIGN(p1.q.a)===-1?n=-1:n=1;break;case DOUBLE:p1.d<0?n=-1:n=1;break;default:n=null}return n},transform=function(n,t){var r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt;if($e=0,save(),p1=null,p4=pop(),p3=pop(),DEBUG&&console.log("         !!!!!!!!!   transform on: "+p3),saveMetaBindings(),set_binding(symbol(METAX),p4),$e=tos,push_integer(1),push(p3),push(p4),polyform(),push(p4),r=tos-2,decomp(t),f=tos-r,DEBUG)for(console.log("  "+f+" decomposed elements ====== "),s=l=0,x=f;0<=x?l<x:l>x;s=0<=x?++l:--l)console.log("  decomposition element "+s+": "+stack[tos-1-s]);if(Ie=!1,t){if(!isNumericAtom(p3))if(ne=n,DEBUG&&console.log("applying transform: "+ne),DEBUG&&console.log("scanning table entry "+ne),push(ne),push(symbol(SYMBOL_A_UNDERSCORE)),push(symbol(METAA)),subst(),push(symbol(SYMBOL_B_UNDERSCORE)),push(symbol(METAB)),subst(),push(symbol(SYMBOL_X_UNDERSCORE)),push(symbol(METAX)),subst(),p1=pop(),p5=car(p1),DEBUG&&console.log("template expression: "+p5),p6=cadr(p1),p7=cddr(p1),f_equals_a($e,t))Ie=!0;else{for(DEBUG&&console.log("p3 at this point: "+p3),Dt=[],DEBUG&&console.log("car(p3): "+car(p3)),w=p3,iscons(w)&&(Dt.push(car(p3)),w=cdr(p3));iscons(w);)Z=car(w),w=cdr(w),DEBUG&&console.log("tos before recursive transform: "+tos),push(Z),push_symbol(NIL),DEBUG&&console.log("testing: "+Z),DEBUG&&console.log("about to try to simplify other term: "+Z),Ce=transform(n,t),Ie=Ie||Ce,Dt.push(pop()),DEBUG&&console.log("tried to simplify other term: "+Z+" ...successful?: "+Ce+" ...transformed: "+Dt[Dt.length-1]);if(Dt.length!==0){for(m=0,u=Dt.length;m<u;m++)s=Dt[m],push(s);list(Dt.length),p6=pop()}}}else for(g=0,_=n.length;g<_;g++){if(a=n[g],DEBUG&&(console.log("scanning table entry "+a),(a+"").indexOf("f(sqrt(a+b*x),2/3*1/b*sqrt((a+b*x)^3))")!==-1))debugger;if(a&&(scan_meta(a),p1=pop(),p5=cadr(p1),p6=caddr(p1),p7=cdddr(p1),f_equals_a($e,t))){Ie=!0;break}}return moveTos($e),Ie?(push(p6),Eval(),p1=pop(),Ie=!0):t?p1=p3:p1=symbol(NIL),restoreMetaBindings(),push(p1),restore(),Ie},saveMetaBindings=function(){return push(get_binding(symbol(METAA))),push(get_binding(symbol(METAB))),push(get_binding(symbol(METAX)))},restoreMetaBindings=function(){return set_binding(symbol(METAX),pop()),set_binding(symbol(METAB),pop()),set_binding(symbol(METAA),pop())},f_equals_a=function(n,t){var r,a,s,l,u,_,m,g,f;for(r=0,a=0,r=s=_=n,m=tos;_<=m?s<m:s>m;r=_<=m?++s:--s)for(set_binding(symbol(METAA),stack[r]),DEBUG&&console.log("  binding METAA to "+get_binding(symbol(METAA))),a=l=g=n,f=tos;g<=f?l<f:l>f;a=g<=f?++l:--l){for(set_binding(symbol(METAB),stack[a]),DEBUG&&console.log("  binding METAB to "+get_binding(symbol(METAB))),p1=p7;iscons(p1)&&(push(car(p1)),Eval(),p2=pop(),!isZeroAtomOrTensor(p2));)p1=cdr(p1);if(!iscons(p1)&&(push(p3),DEBUG&&console.log("about to evaluate template expression: "+p5+" binding METAA to "+get_binding(symbol(METAA))+" and binding METAB to "+get_binding(symbol(METAB))+" and binding METAX to "+get_binding(symbol(METAX))),push(p5),t&&(u=expanding,expanding=!1),Eval(),t&&(expanding=u),DEBUG&&console.log("  comparing "+stack[tos-1]+" to: "+stack[tos-2]),subtract(),p1=pop(),isZeroAtomOrTensor(p1)))return DEBUG&&(console.log("binding METAA to "+get_binding(symbol(METAA))),console.log("binding METAB to "+get_binding(symbol(METAB))),console.log("binding METAX to "+get_binding(symbol(METAX))),console.log("comparing "+p3+" to: "+p5)),1}return 0},Eval_transpose=function(){return push(cadr(p1)),Eval(),cddr(p1)===symbol(NIL)?(push_integer(1),push_integer(2)):(push(caddr(p1)),Eval(),push(cadddr(p1)),Eval()),transpose()},transpose=function(){var n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc,e0;for(u=0,g=0,f=0,x=0,Z=0,$e=0,Ie=0,e0=0,r=[],a=[],u=w=0,ys=MAXDIM;0<=ys?w<ys:w>ys;u=0<=ys?++w:--w)r[u]=0,a[u]=0;if(save(),p3=pop(),p2=pop(),p1=pop(),isNumericAtom(p1)){push(p1),restore();return}if((isplusone(p2)&&isplustwo(p3)||isplusone(p3)&&isplustwo(p2))&&isidentitymatrix(p1)){push(p1),restore();return}if(istranspose(p1)&&(_=car(cdr(cdr(p1))),m=car(cdr(cdr(cdr(p1)))),equal(_,p3)&&equal(m,p2)||equal(m,p3)&&equal(_,p2)||equal(_,symbol(NIL))&&equal(m,symbol(NIL))&&(isplusone(p3)&&isplustwo(p2)||isplusone(p2)&&isplustwo(p3)))){push(car(cdr(p1))),restore();return}if(expanding&&isadd(p1)){for(p1=cdr(p1),push(zero);iscons(p1);)push(car(p1)),push(p2),push(p3),transpose(),add(),p1=cdr(p1);restore();return}if(expanding&&ismultiply(p1)){for(p1=cdr(p1),push(one);iscons(p1);)push(car(p1)),push(p2),push(p3),transpose(),multiply(),p1=cdr(p1);restore();return}if(expanding&&isinnerordot(p1)){for(p1=cdr(p1),t=[];iscons(p1);)t.push([car(p1),p2,p3]),p1=cdr(p1);for(l=Ce=tc=t.length-1;tc<=0?Ce<=0:Ce>=0;l=tc<=0?++Ce:--Ce)push(t[l][0]),push(t[l][1]),push(t[l][2]),transpose(),l!==t.length-1&&inner();restore();return}if(!istensor(p1)){if(!isZeroAtomOrTensor(p1)){push_symbol(TRANSPOSE),push(p1),(!isplusone(p2)||!isplustwo(p3))&&(!isplusone(p3)||!isplustwo(p2))?(push(p2),push(p3),list(4)):list(2),restore();return}push(zero),restore();return}if($e=p1.tensor.ndim,Ie=p1.tensor.nelem,$e===1){push(p1),restore();return}for(push(p2),x=pop_integer(),push(p3),Z=pop_integer(),(x<1||x>$e||Z<1||Z>$e)&&stop("transpose: index out of range"),x--,Z--,p2=alloc_tensor(Ie),p2.tensor.ndim=$e,u=ne=0,nc=$e;0<=nc?ne<nc:ne>nc;u=0<=nc?++ne:--ne)p2.tensor.dim[u]=p1.tensor.dim[u];for(p2.tensor.dim[x]=p1.tensor.dim[Z],p2.tensor.dim[Z]=p1.tensor.dim[x],n=p1.tensor.elem,s=p2.tensor.elem,u=Dt=0,ac=$e;0<=ac?Dt<ac:Dt>ac;u=0<=ac?++Dt:--Dt)r[u]=0,a[u]=p1.tensor.dim[u];for(u=Lr=0,sc=Ie;0<=sc?Lr<sc:Lr>sc;u=0<=sc?++Lr:--Lr){for(e0=r[x],r[x]=r[Z],r[Z]=e0,e0=a[x],a[x]=a[Z],a[Z]=e0,f=0,g=ec=0,cc=$e;0<=cc?ec<cc:ec>cc;g=0<=cc?++ec:--ec)f=f*a[g]+r[g];for(e0=r[x],r[x]=r[Z],r[Z]=e0,e0=a[x],a[x]=a[Z],a[Z]=e0,s[f]=n[u],g=lc=uc=$e-1;(uc<=0?lc<=0:lc>=0)&&!(++r[g]<a[g]);g=uc<=0?++lc:--lc)r[g]=0}return push(p2),restore()},Eval_user_function=function(){var n,t;if(DEBUG&&console.log("Eval_user_function evaluating: "+car(p1)),car(p1)===symbol(SYMBOL_D)&&get_binding(symbol(SYMBOL_D))===symbol(SYMBOL_D)){Eval_derivative();return}if(push(car(p1)),Eval(),n=pop(),isNumericAtom(n)?stop("expected function invocation, found multiplication instead. Use '*' symbol explicitly for multiplication."):istensor(n)?stop("expected function invocation, found tensor product instead. Use 'dot/inner' explicitly."):isstr(n)&&stop("expected function, found string instead."),p3=car(cdr(n)),p4=car(cdr(cdr(n))),p5=cdr(p1),car(n)!==symbol(FUNCTION)||n===car(p1)){for(t=tos,push(n),p1=p5;iscons(p1);)push(car(p1)),Eval(),p1=cdr(p1);list(tos-t);return}for(p1=p4,p2=p5,t=tos;iscons(p1)&&iscons(p2);)push(car(p1)),push(car(p2)),p1=cdr(p1),p2=cdr(p2);return list(tos-t),p6=pop(),push(p3),iscons(p6)&&(push(p6),rewrite_args()),Eval()},rewrite_args=function(){var n,t;if(t=0,save(),p2=pop(),p1=pop(),istensor(p1))return t=rewrite_args_tensor(),restore(),t;if(iscons(p1)){for(n=tos,car(p1)===car(p2)?(push_symbol(EVAL),push(car(cdr(p2))),list(2)):push(car(p1)),p1=cdr(p1);iscons(p1);)push(car(p1)),push(p2),t+=rewrite_args(),p1=cdr(p1);return list(tos-n),restore(),t}if(!issymbol(p1))return push(p1),restore(),0;for(p3=p2;iscons(p3);){if(p1===car(p3))return push(cadr(p3)),restore(),1;p3=cddr(p3)}return p3=get_binding(p1),push(p3),p1!==p3&&(push(p2),t=rewrite_args(),t===0&&(pop(),push(p1))),restore(),t},rewrite_args_tensor=function(){var n,t,r,a;for(r=0,n=0,push(p1),copy_tensor(),p1=pop(),n=t=0,a=p1.tensor.nelem;0<=a?t<a:t>a;n=0<=a?++t:--t)push(p1.tensor.elem[n]),push(p2),r+=rewrite_args(),p1.tensor.elem[n]=pop();return check_tensor_dimensions(p1),push(p1),r},Eval_zero=function(){var n,t,r,a,s,l,u,_;for(n=0,t=[],a=0,l=0,n=r=0,u=MAXDIM;0<=u?r<u:r>u;n=0<=u?++r:--r)t[n]=0;for(a=1,l=0,p2=cdr(p1);iscons(p2);){if(push(car(p2)),Eval(),n=pop_integer(),n<1||isNaN(n)){push(zero);return}a*=n,t[l++]=n,p2=cdr(p2)}if(l===0){push(zero);return}for(p1=alloc_tensor(a),p1.tensor.ndim=l,n=s=0,_=l;0<=_?s<_:s>_;n=0<=_?++s:--s)p1.tensor.dim[n]=t[n];return push(p1)},allocatedId=0,alloc_tensor=function(n){var t,r,a,s;for(t=0,a=new U,a.k=TENSOR,a.tensor=new tensor,a.tensor.nelem=n,t=r=0,s=n;0<=s?r<s:r>s;t=0<=s?++r:--r)a.tensor.elem[t]=zero;return a.tensor.allocatedId=allocatedId,allocatedId++,check_tensor_dimensions(a),a},Find=function(n,t){var r,a,s;if(r=0,equal(n,t))return 1;if(istensor(n)){for(r=a=0,s=n.tensor.nelem;0<=s?a<s:a>s;r=0<=s?++a:--a)if(Find(n.tensor.elem[r],t))return 1;return 0}for(;iscons(n);){if(Find(car(n),t))return 1;n=cdr(n)}return 0},findPossibleClockForm=function(n){var t,r,a;if(t=0,isimaginaryunit(n))return 0;if(car(n)===symbol(POWER)&&!isinteger(caddr(p1))&&Find(cadr(n),imaginaryunit)||car(n)===symbol(POWER)&&equaln(cadr(n),-1)&&!isinteger(caddr(p1)))return 1;if(istensor(n)){for(t=r=0,a=n.tensor.nelem;0<=a?r<a:r>a;t=0<=a?++r:--r)if(findPossibleClockForm(n.tensor.elem[t]))return 1;return 0}for(;iscons(n);){if(findPossibleClockForm(car(n)))return 1;n=cdr(n)}return 0},findPossibleExponentialForm=function(n){var t,r,a;if(t=0,car(n)===symbol(POWER)&&cadr(n)===symbol(E))return 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defn()}},defn_str=['version="'+version+'"',"e=exp(1)","i=sqrt(-1)","autoexpand=1","assumeRealVariables=1","trange=[-pi,pi]","xrange=[-10,10]","yrange=[-10,10]","last=0","trace=0","forceFixedPrintout=1","maxFixedPrintoutDigits=6","printLeaveEAlone=1","printLeaveXAlone=0","cross(u,v)=[u[2]*v[3]-u[3]*v[2],u[3]*v[1]-u[1]*v[3],u[1]*v[2]-u[2]*v[1]]","curl(v)=[d(v[3],y)-d(v[2],z),d(v[1],z)-d(v[3],x),d(v[2],x)-d(v[1],y)]","div(v)=d(v[1],x)+d(v[2],y)+d(v[3],z)","ln(x)=log(x)"],defn=function(){var n,t,r,a,s;for(p0=symbol(NIL),p1=symbol(NIL),p2=symbol(NIL),p3=symbol(NIL),p4=symbol(NIL),p5=symbol(NIL),p6=symbol(NIL),p7=symbol(NIL),p8=symbol(NIL),p9=symbol(NIL),std_symbol("abs",ABS),std_symbol("add",ADD),std_symbol("adj",ADJ),std_symbol("and",AND),std_symbol("approxratio",APPROXRATIO),std_symbol("arccos",ARCCOS),std_symbol("arccosh",ARCCOSH),std_symbol("arcsin",ARCSIN),std_symbol("arcsinh",ARCSINH),std_symbol("arctan",ARCTAN),std_symbol("arctanh",ARCTANH),std_symbol("arg",ARG),std_symbol("atomize",ATOMIZE),std_symbol("besselj",BESSELJ),std_symbol("bessely",BESSELY),std_symbol("binding",BINDING),std_symbol("binomial",BINOMIAL),std_symbol("ceiling",CEILING),std_symbol("check",CHECK),std_symbol("choose",CHOOSE),std_symbol("circexp",CIRCEXP),std_symbol("clear",CLEAR),std_symbol("clearall",CLEARALL),std_symbol("clearpatterns",CLEARPATTERNS),std_symbol("clock",CLOCK),std_symbol("coeff",COEFF),std_symbol("cofactor",COFACTOR),std_symbol("condense",CONDENSE),std_symbol("conj",CONJ),std_symbol("contract",CONTRACT),std_symbol("cos",COS),std_symbol("cosh",COSH),std_symbol("decomp",DECOMP),std_symbol("defint",DEFINT),std_symbol("deg",DEGREE),std_symbol("denominator",DENOMINATOR),std_symbol("det",DET),std_symbol("derivative",DERIVATIVE),std_symbol("dim",DIM),std_symbol("dirac",DIRAC),std_symbol("divisors",DIVISORS),std_symbol("do",DO),std_symbol("dot",DOT),std_symbol("draw",DRAW),std_symbol("dsolve",DSOLVE),std_symbol("erf",ERF),std_symbol("erfc",ERFC),std_symbol("eigen",EIGEN),std_symbol("eigenval",EIGENVAL),std_symbol("eigenvec",EIGENVEC),std_symbol("eval",EVAL),std_symbol("exp",EXP),std_symbol("expand",EXPAND),std_symbol("expcos",EXPCOS),std_symbol("expsin",EXPSIN),std_symbol("factor",FACTOR),std_symbol("factorial",FACTORIAL),std_symbol("factorpoly",FACTORPOLY),std_symbol("filter",FILTER),std_symbol("float",FLOATF),std_symbol("floor",FLOOR),std_symbol("for",FOR),std_symbol("function",FUNCTION),std_symbol("Gamma",GAMMA),std_symbol("gcd",GCD),std_symbol("hermite",HERMITE),std_symbol("hilbert",HILBERT),std_symbol("imag",IMAG),std_symbol("component",INDEX),std_symbol("inner",INNER),std_symbol("integral",INTEGRAL),std_symbol("inv",INV),std_symbol("invg",INVG),std_symbol("isinteger",ISINTEGER),std_symbol("isprime",ISPRIME),std_symbol("laguerre",LAGUERRE),std_symbol("lcm",LCM),std_symbol("leading",LEADING),std_symbol("legendre",LEGENDRE),std_symbol("log",LOG),std_symbol("lookup",LOOKUP),std_symbol("mod",MOD),std_symbol("multiply",MULTIPLY),std_symbol("not",NOT),std_symbol("nroots",NROOTS),std_symbol("number",NUMBER),std_symbol("numerator",NUMERATOR),std_symbol("operator",OPERATOR),std_symbol("or",OR),std_symbol("outer",OUTER),std_symbol("pattern",PATTERN),std_symbol("patternsinfo",PATTERNSINFO),std_symbol("polar",POLAR),std_symbol("power",POWER),std_symbol("prime",PRIME),std_symbol("print",PRINT),std_symbol("print2dascii",PRINT2DASCII),std_symbol("printcomputer",PRINTFULL),std_symbol("printlatex",PRINTLATEX),std_symbol("printlist",PRINTLIST),std_symbol("printhuman",PRINTPLAIN),std_symbol("printLeaveEAlone",PRINT_LEAVE_E_ALONE),std_symbol("printLeaveXAlone",PRINT_LEAVE_X_ALONE),std_symbol("product",PRODUCT),std_symbol("quote",QUOTE),std_symbol("quotient",QUOTIENT),std_symbol("rank",RANK),std_symbol("rationalize",RATIONALIZE),std_symbol("real",REAL),std_symbol("rect",YYRECT),std_symbol("roots",ROOTS),std_symbol("round",ROUND),std_symbol("equals",SETQ),std_symbol("sgn",SGN),std_symbol("silentpattern",SILENTPATTERN),std_symbol("simplify",SIMPLIFY),std_symbol("sin",SIN),std_symbol("sinh",SINH),std_symbol("shape",SHAPE),std_symbol("sqrt",SQRT),std_symbol("stop",STOP),std_symbol("subst",SUBST),std_symbol("sum",SUM),std_symbol("symbolsinfo",SYMBOLSINFO),std_symbol("tan",TAN),std_symbol("tanh",TANH),std_symbol("taylor",TAYLOR),std_symbol("test",TEST),std_symbol("testeq",TESTEQ),std_symbol("testge",TESTGE),std_symbol("testgt",TESTGT),std_symbol("testle",TESTLE),std_symbol("testlt",TESTLT),std_symbol("transpose",TRANSPOSE),std_symbol("unit",UNIT),std_symbol("zero",ZERO),std_symbol("nil",NIL),std_symbol("autoexpand",AUTOEXPAND),std_symbol("bake",BAKE),std_symbol("assumeRealVariables",ASSUME_REAL_VARIABLES),std_symbol("last",LAST),std_symbol("lastprint",LAST_PRINT),std_symbol("last2dasciiprint",LAST_2DASCII_PRINT),std_symbol("lastfullprint",LAST_FULL_PRINT),std_symbol("lastlatexprint",LAST_LATEX_PRINT),std_symbol("lastlistprint",LAST_LIST_PRINT),std_symbol("lastplainprint",LAST_PLAIN_PRINT),std_symbol("trace",TRACE),std_symbol("forceFixedPrintout",FORCE_FIXED_PRINTOUT),std_symbol("maxFixedPrintoutDigits",MAX_FIXED_PRINTOUT_DIGITS),std_symbol("~",YYE),std_symbol("$DRAWX",DRAWX),std_symbol("$METAA",METAA),std_symbol("$METAB",METAB),std_symbol("$METAX",METAX),std_symbol("$SECRETX",SECRETX),std_symbol("version",VERSION),std_symbol("pi",PI),std_symbol("a",SYMBOL_A),std_symbol("b",SYMBOL_B),std_symbol("c",SYMBOL_C),std_symbol("d",SYMBOL_D),std_symbol("i",SYMBOL_I),std_symbol("j",SYMBOL_J),std_symbol("n",SYMBOL_N),std_symbol("r",SYMBOL_R),std_symbol("s",SYMBOL_S),std_symbol("t",SYMBOL_T),std_symbol("x",SYMBOL_X),std_symbol("y",SYMBOL_Y),std_symbol("z",SYMBOL_Z),std_symbol("I",SYMBOL_IDENTITY_MATRIX),std_symbol("a_",SYMBOL_A_UNDERSCORE),std_symbol("b_",SYMBOL_B_UNDERSCORE),std_symbol("x_",SYMBOL_X_UNDERSCORE),std_symbol("$C1",C1),std_symbol("$C2",C2),std_symbol("$C3",C3),std_symbol("$C4",C4),std_symbol("$C5",C5),std_symbol("$C6",C6),defineSomeHandyConstants(),a=codeGen,codeGen=!1,t=r=0,s=defn_str.length;0<=s?r<s:r>s;t=0<=s?++r:--r)n=defn_str[t],scan(n),DEBUG&&(console.log("... 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Math.log(n+1)},cbrt$2=Math.cbrt||function n(t){if(t===0)return t;var r=t<0,a;return r&&(t=-t),isFinite(t)?(a=Math.exp(Math.log(t)/3),a=(t/(a*a)+2*a)/3):a=t,r?-a:a},expm1$1=Math.expm1||function n(t){return t>=2e-4||t<=-2e-4?Math.exp(t)-1:t+t*t/2+t*t*t/6};function formatNumberToBase(n,t,r){var a={2:"0b",8:"0o",16:"0x"},s=a[t],l="";if(r){if(r<1)throw new Error("size must be in greater than 0");if(!isInteger$1(r))throw new Error("size must be an integer");if(n>2**(r-1)-1||n<-(2**(r-1)))throw new Error("Value must be in range [-2^".concat(r-1,", 2^").concat(r-1,"-1]"));if(!isInteger$1(n))throw new Error("Value must be an integer");n<0&&(n=n+2**r),l="i".concat(r)}var u="";return n<0&&(n=-n,u="-"),"".concat(u).concat(s).concat(n.toString(t)).concat(l)}function format$4(n,t){if(typeof t=="function")return t(n);if(n===1/0)return"Infinity";if(n===-1/0)return"-Infinity";if(isNaN(n))return"NaN";var r="auto",a,s;if(t&&(t.notation&&(r=t.notation),isNumber(t)?a=t:isNumber(t.precision)&&(a=t.precision),t.wordSize&&(s=t.wordSize,typeof s!="number")))throw new Error('Option "wordSize" must be a number');switch(r){case"fixed":return toFixed$1(n,a);case"exponential":return toExponential$1(n,a);case"engineering":return toEngineering$1(n,a);case"bin":return formatNumberToBase(n,2,s);case"oct":return formatNumberToBase(n,8,s);case"hex":return formatNumberToBase(n,16,s);case"auto":return toPrecision(n,a,t&&t).replace(/((\.\d*?)(0+))($|e)/,function(){var l=arguments[2],u=arguments[4];return l!=="."?l+u:u});default:throw new Error('Unknown notation "'+r+'". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.')}}function splitNumber(n){var t=String(n).toLowerCase().match(/^(-?)(\d+\.?\d*)(e([+-]?\d+))?$/);if(!t)throw new SyntaxError("Invalid number "+n);var r=t[1],a=t[2],s=parseFloat(t[4]||"0"),l=a.indexOf(".");s+=l!==-1?l-1:a.length-1;var u=a.replace(".","").replace(/^0*/,function(_){return s-=_.length,""}).replace(/0*$/,"").split("").map(function(_){return parseInt(_)});return u.length===0&&(u.push(0),s++),{sign:r,coefficients:u,exponent:s}}function toEngineering$1(n,t){if(isNaN(n)||!isFinite(n))return String(n);var r=splitNumber(n),a=roundDigits(r,t),s=a.exponent,l=a.coefficients,u=s%3===0?s:s<0?s-3-s%3:s-s%3;if(isNumber(t))for(;t>l.length||s-u+1>l.length;)l.push(0);else for(var _=Math.abs(s-u)-(l.length-1),m=0;m<_;m++)l.push(0);for(var g=Math.abs(s-u),f=1;g>0;)f++,g--;var x=l.slice(f).join(""),w=isNumber(t)&&x.length||x.match(/[1-9]/)?"."+x:"",Z=l.slice(0,f).join("")+w+"e"+(s>=0?"+":"")+u.toString();return a.sign+Z}function toFixed$1(n,t){if(isNaN(n)||!isFinite(n))return String(n);var r=splitNumber(n),a=typeof t=="number"?roundDigits(r,r.exponent+1+t):r,s=a.coefficients,l=a.exponent+1,u=l+(t||0);return s.length<u&&(s=s.concat(zeros$1(u-s.length))),l<0&&(s=zeros$1(-l+1).concat(s),l=1),l<s.length&&s.splice(l,0,l===0?"0.":"."),a.sign+s.join("")}function toExponential$1(n,t){if(isNaN(n)||!isFinite(n))return String(n);var r=splitNumber(n),a=t?roundDigits(r,t):r,s=a.coefficients,l=a.exponent;s.length<t&&(s=s.concat(zeros$1(t-s.length)));var u=s.shift();return a.sign+u+(s.length>0?"."+s.join(""):"")+"e"+(l>=0?"+":"")+l}function toPrecision(n,t,r){if(isNaN(n)||!isFinite(n))return String(n);var a=r&&r.lowerExp!==void 0?r.lowerExp:-3,s=r&&r.upperExp!==void 0?r.upperExp:5,l=splitNumber(n),u=t?roundDigits(l,t):l;if(u.exponent<a||u.exponent>=s)return toExponential$1(n,t);var _=u.coefficients,m=u.exponent;_.length<t&&(_=_.concat(zeros$1(t-_.length))),_=_.concat(zeros$1(m-_.length+1+(_.length<t?t-_.length:0))),_=zeros$1(-m).concat(_);var g=m>0?m:0;return g<_.length-1&&_.splice(g+1,0,"."),u.sign+_.join("")}function roundDigits(n,t){for(var r={sign:n.sign,coefficients:n.coefficients,exponent:n.exponent},a=r.coefficients;t<=0;)a.unshift(0),r.exponent++,t++;if(a.length>t){var s=a.splice(t,a.length-t);if(s[0]>=5){var l=t-1;for(a[l]++;a[l]===10;)a.pop(),l===0&&(a.unshift(0),r.exponent++,l++),l--,a[l]++}}return r}function zeros$1(n){for(var t=[],r=0;r<n;r++)t.push(0);return t}function digits(n){return n.toExponential().replace(/e.*$/,"").replace(/^0\.?0*|\./,"").length}var DBL_EPSILON=Number.EPSILON||2220446049250313e-31;function nearlyEqual$1(n,t,r){if(r==null)return n===t;if(n===t)return!0;if(isNaN(n)||isNaN(t))return!1;if(isFinite(n)&&isFinite(t)){var a=Math.abs(n-t);return a<=DBL_EPSILON?!0:a<=Math.max(Math.abs(n),Math.abs(t))*r}return!1}var acosh$2=Math.acosh||function(n){return Math.log(Math.sqrt(n*n-1)+n)},asinh$2=Math.asinh||function(n){return Math.log(Math.sqrt(n*n+1)+n)},atanh$2=Math.atanh||function(n){return Math.log((1+n)/(1-n))/2},cosh$2=Math.cosh||function(n){return(Math.exp(n)+Math.exp(-n))/2},sinh$2=Math.sinh||function(n){return(Math.exp(n)-Math.exp(-n))/2},tanh$2=Math.tanh||function(n){var t=Math.exp(2*n);return(t-1)/(t+1)};function copysign(n,t){var r=n>0?!0:n<0?!1:1/n===1/0,a=t>0?!0:t<0?!1:1/t===1/0;return r^a?-n:n}function formatBigNumberToBase(n,t,r){var a=n.constructor,s=new a(2),l="";if(r){if(r<1)throw new Error("size must be in greater than 0");if(!isInteger$1(r))throw new Error("size must be an integer");if(n.greaterThan(s.pow(r-1).sub(1))||n.lessThan(s.pow(r-1).mul(-1)))throw new Error("Value must be in range [-2^".concat(r-1,", 2^").concat(r-1,"-1]"));if(!n.isInteger())throw new Error("Value must be an integer");n.lessThan(0)&&(n=n.add(s.pow(r))),l="i".concat(r)}switch(t){case 2:return"".concat(n.toBinary()).concat(l);case 8:return"".concat(n.toOctal()).concat(l);case 16:return"".concat(n.toHexadecimal()).concat(l);default:throw new Error("Base ".concat(t," not supported "))}}function format$3(n,t){if(typeof t=="function")return t(n);if(!n.isFinite())return n.isNaN()?"NaN":n.gt(0)?"Infinity":"-Infinity";var r="auto",a,s;if(t!==void 0&&(t.notation&&(r=t.notation),typeof t=="number"?a=t:t.precision!==void 0&&(a=t.precision),t.wordSize&&(s=t.wordSize,typeof s!="number")))throw new Error('Option "wordSize" must be a number');switch(r){case"fixed":return toFixed(n,a);case"exponential":return toExponential(n,a);case"engineering":return toEngineering(n,a);case"bin":return formatBigNumberToBase(n,2,s);case"oct":return formatBigNumberToBase(n,8,s);case"hex":return formatBigNumberToBase(n,16,s);case"auto":{var l=t&&t.lowerExp!==void 0?t.lowerExp:-3,u=t&&t.upperExp!==void 0?t.upperExp:5;if(n.isZero())return"0";var _,m=n.toSignificantDigits(a),g=m.e;return g>=l&&g<u?_=m.toFixed():_=toExponential(n,a),_.replace(/((\.\d*?)(0+))($|e)/,function(){var f=arguments[2],x=arguments[4];return f!=="."?f+x:x})}default:throw new Error('Unknown notation "'+r+'". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.')}}function toEngineering(n,t){var r=n.e,a=r%3===0?r:r<0?r-3-r%3:r-r%3,s=n.mul(Math.pow(10,-a)),l=s.toPrecision(t);if(l.indexOf("e")!==-1){var u=n.constructor;l=new u(l).toFixed()}return l+"e"+(r>=0?"+":"")+a.toString()}function toExponential(n,t){return t!==void 0?n.toExponential(t-1):n.toExponential()}function toFixed(n,t){return n.toFixed(t)}function endsWith(n,t){var r=n.length-t.length,a=n.length;return n.substring(r,a)===t}function format$2(n,t){var r=_format(n,t);return t&&typeof t=="object"&&"truncate"in t&&r.length>t.truncate?r.substring(0,t.truncate-3)+"...":r}function _format(n,t){if(typeof n=="number")return format$4(n,t);if(isBigNumber(n))return format$3(n,t);if(looksLikeFraction(n))return!t||t.fraction!=="decimal"?n.s*n.n+"/"+n.d:n.toString();if(Array.isArray(n))return formatArray(n,t);if(isString$1(n))return stringify$1(n);if(typeof n=="function")return n.syntax?String(n.syntax):"function";if(n&&typeof n=="object"){if(typeof n.format=="function")return n.format(t);if(n&&n.toString(t)!=={}.toString())return n.toString(t);var r=Object.keys(n).map(a=>stringify$1(a)+": "+format$2(n[a],t));return"{"+r.join(", ")+"}"}return String(n)}function stringify$1(n){for(var t=String(n),r="",a=0;a<t.length;){var s=t.charAt(a);r+=s in controlCharacters?controlCharacters[s]:s,a++}return'"'+r+'"'}var controlCharacters={'"':'\\"',"\\":"\\\\","\b":"\\b","\f":"\\f","\n":"\\n","\r":"\\r","	":"\\t"};function escape$1(n){var t=String(n);return t=t.replace(/&/g,"&amp;").replace(/"/g,"&quot;").replace(/'/g,"&#39;").replace(/</g,"&lt;").replace(/>/g,"&gt;"),t}function formatArray(n,t){if(Array.isArray(n)){for(var r="[",a=n.length,s=0;s<a;s++)s!==0&&(r+=", "),r+=formatArray(n[s],t);return r+="]",r}else return format$2(n,t)}function looksLikeFraction(n){return n&&typeof n=="object"&&typeof n.s=="number"&&typeof n.n=="number"&&typeof n.d=="number"||!1}function compareText$1(n,t){if(!isString$1(n))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+typeOf$1(n)+", index: 0)");if(!isString$1(t))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+typeOf$1(t)+", index: 1)");return n===t?0:n>t?1:-1}function DimensionError(n,t,r){if(!(this instanceof DimensionError))throw new SyntaxError("Constructor must be called with the new operator");this.actual=n,this.expected=t,this.relation=r,this.message="Dimension mismatch ("+(Array.isArray(n)?"["+n.join(", ")+"]":n)+" "+(this.relation||"!=")+" "+(Array.isArray(t)?"["+t.join(", ")+"]":t)+")",this.stack=new Error().stack}DimensionError.prototype=new RangeError;DimensionError.prototype.constructor=RangeError;DimensionError.prototype.name="DimensionError";DimensionError.prototype.isDimensionError=!0;function IndexError(n,t,r){if(!(this instanceof IndexError))throw new SyntaxError("Constructor must be called with the new operator");this.index=n,arguments.length<3?(this.min=0,this.max=t):(this.min=t,this.max=r),this.min!==void 0&&this.index<this.min?this.message="Index out of range ("+this.index+" < "+this.min+")":this.max!==void 0&&this.index>=this.max?this.message="Index out of range ("+this.index+" > "+(this.max-1)+")":this.message="Index out of range ("+this.index+")",this.stack=new Error().stack}IndexError.prototype=new RangeError;IndexError.prototype.constructor=RangeError;IndexError.prototype.name="IndexError";IndexError.prototype.isIndexError=!0;function arraySize(n){for(var t=[];Array.isArray(n);)t.push(n.length),n=n[0];return t}function _validate(n,t,r){var a,s=n.length;if(s!==t[r])throw new DimensionError(s,t[r]);if(r<t.length-1){var l=r+1;for(a=0;a<s;a++){var u=n[a];if(!Array.isArray(u))throw new DimensionError(t.length-1,t.length,"<");_validate(n[a],t,l)}}else for(a=0;a<s;a++)if(Array.isArray(n[a]))throw new DimensionError(t.length+1,t.length,">")}function validate(n,t){var r=t.length===0;if(r){if(Array.isArray(n))throw new DimensionError(n.length,0)}else _validate(n,t,0)}function validateIndexSourceSize(n,t){var r=n.isMatrix?n._size:arraySize(n),a=t._sourceSize;a.forEach((s,l)=>{if(s!==null&&s!==r[l])throw new DimensionError(s,r[l])})}function validateIndex(n,t){if(n!==void 0){if(!isNumber(n)||!isInteger$1(n))throw new TypeError("Index must be an integer (value: "+n+")");if(n<0||typeof t=="number"&&n>=t)throw new IndexError(n,t)}}function isEmptyIndex(n){for(var t=0;t<n._dimensions.length;++t){var r=n._dimensions[t];if(r._data&&isArray$1(r._data)){if(r._size[0]===0)return!0}else if(r.isRange){if(r.start===r.end)return!0}else if(isString$1(r)&&r.length===0)return!0}return!1}function resize$1(n,t,r){if(!Array.isArray(t))throw new TypeError("Array expected");if(t.length===0)throw new Error("Resizing to scalar is not supported");t.forEach(function(s){if(!isNumber(s)||!isInteger$1(s)||s<0)throw new TypeError("Invalid size, must contain positive integers (size: "+format$2(t)+")")}),(isNumber(n)||isBigNumber(n))&&(n=[n]);var a=r!==void 0?r:0;return _resize(n,t,0,a),n}function _resize(n,t,r,a){var s,l,u=n.length,_=t[r],m=Math.min(u,_);if(n.length=_,r<t.length-1){var g=r+1;for(s=0;s<m;s++)l=n[s],Array.isArray(l)||(l=[l],n[s]=l),_resize(l,t,g,a);for(s=m;s<_;s++)l=[],n[s]=l,_resize(l,t,g,a)}else{for(s=0;s<m;s++)for(;Array.isArray(n[s]);)n[s]=n[s][0];for(s=m;s<_;s++)n[s]=a}}function reshape$1(n,t){var r=flatten$1(n),a=r.length;if(!Array.isArray(n)||!Array.isArray(t))throw new TypeError("Array expected");if(t.length===0)throw new DimensionError(0,a,"!=");t=processSizesWildcard(t,a);var s=product$1(t);if(a!==s)throw new DimensionError(s,a,"!=");try{return _reshape(r,t)}catch(l){throw l instanceof DimensionError?new DimensionError(s,a,"!="):l}}function processSizesWildcard(n,t){var r=product$1(n),a=n.slice(),s=-1,l=n.indexOf(s),u=n.indexOf(s,l+1)>=0;if(u)throw new Error("More than one wildcard in sizes");var _=l>=0,m=t%r===0;if(_)if(m)a[l]=-t/r;else throw new Error("Could not replace wildcard, since "+t+" is no multiple of "+-r);return a}function product$1(n){return n.reduce((t,r)=>t*r,1)}function _reshape(n,t){for(var r=n,a,s=t.length-1;s>0;s--){var l=t[s];a=[];for(var u=r.length/l,_=0;_<u;_++)a.push(r.slice(_*l,(_+1)*l));r=a}return r}function squeeze$1(n,t){for(var r=t||arraySize(n);Array.isArray(n)&&n.length===1;)n=n[0],r.shift();for(var a=r.length;r[a-1]===1;)a--;return a<r.length&&(n=_squeeze(n,a,0),r.length=a),n}function _squeeze(n,t,r){var a,s;if(r<t){var l=r+1;for(a=0,s=n.length;a<s;a++)n[a]=_squeeze(n[a],t,l)}else for(;Array.isArray(n);)n=n[0];return n}function unsqueeze(n,t,r,a){var s=a||arraySize(n);if(r)for(var l=0;l<r;l++)n=[n],s.unshift(1);for(n=_unsqueeze(n,t,0);s.length<t;)s.push(1);return n}function _unsqueeze(n,t,r){var a,s;if(Array.isArray(n)){var l=r+1;for(a=0,s=n.length;a<s;a++)n[a]=_unsqueeze(n[a],t,l)}else for(var u=r;u<t;u++)n=[n];return n}function flatten$1(n){if(!Array.isArray(n))return n;var t=[];return n.forEach(function r(a){Array.isArray(a)?a.forEach(r):t.push(a)}),t}function map$1(n,t){return Array.prototype.map.call(n,t)}function forEach$1(n,t){Array.prototype.forEach.call(n,t)}function filter$1(n,t){if(arraySize(n).length!==1)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(n,t)}function filterRegExp(n,t){if(arraySize(n).length!==1)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(n,r=>t.test(r))}function join(n,t){return Array.prototype.join.call(n,t)}function identify(n){if(!Array.isArray(n))throw new TypeError("Array input expected");if(n.length===0)return n;var t=[],r=0;t[0]={value:n[0],identifier:0};for(var a=1;a<n.length;a++)n[a]===n[a-1]?r++:r=0,t.push({value:n[a],identifier:r});return t}function generalize(n){if(!Array.isArray(n))throw new TypeError("Array input expected");if(n.length===0)return n;for(var t=[],r=0;r<n.length;r++)t.push(n[r].value);return t}function getArrayDataType(n,t){for(var r,a=0,s=0;s<n.length;s++){var l=n[s],u=Array.isArray(l);if(s===0&&u&&(a=l.length),u&&l.length!==a)return;var _=u?getArrayDataType(l,t):t(l);if(r===void 0)r=_;else if(r!==_)return"mixed"}return r}function contains$1(n,t){return n.indexOf(t)!==-1}function concatRecursive(n,t,r,a){if(a<r){if(n.length!==t.length)throw new DimensionError(n.length,t.length);for(var s=[],l=0;l<n.length;l++)s[l]=concatRecursive(n[l],t[l],r,a+1);return s}else return n.concat(t)}function concat$1(){var n=Array.prototype.slice.call(arguments,0,-1),t=Array.prototype.slice.call(arguments,-1);if(n.length===1)return n[0];if(n.length>1)return n.slice(1).reduce(function(r,a){return concatRecursive(r,a,t,0)},n[0]);throw new Error("Wrong number of arguments in function concat")}function broadcastSizes(){for(var n=arguments.length,t=new Array(n),r=0;r<n;r++)t[r]=arguments[r];for(var a=t.map(w=>w.length),s=Math.max(...a),l=new Array(s).fill(null),u=0;u<t.length;u++)for(var _=t[u],m=a[u],g=0;g<m;g++){var f=s-m+g;_[g]>l[f]&&(l[f]=_[g])}for(var x=0;x<t.length;x++)checkBroadcastingRules(t[x],l);return l}function checkBroadcastingRules(n,t){for(var r=t.length,a=n.length,s=0;s<a;s++){var l=r-a+s;if(n[s]<t[l]&&n[s]>1||n[s]>t[l])throw new Error("shape missmatch: missmatch is found in arg with shape (".concat(n,") not possible to broadcast dimension ").concat(a," with size ").concat(n[s]," to size ").concat(t[l]))}}function broadcastTo(n,t){var r=arraySize(n);if(deepStrictEqual(r,t))return n;checkBroadcastingRules(r,t);var a=broadcastSizes(r,t),s=a.length,l=[...Array(s-r.length).fill(1),...r],u=clone$3(n);r.length<s&&(u=reshape$1(u,l),r=arraySize(u));for(var _=0;_<s;_++)r[_]<a[_]&&(u=stretch(u,a[_],_),r=arraySize(u));return u}function stretch(n,t,r){return concat$1(...Array(t).fill(n),r)}function clone$3(n){return _extends$2([],n)}function factory(n,t,r,a){function s(l){var u=pickShallow(l,t.map(stripOptionalNotation));return assertDependencies(n,t,l),r(u)}return s.isFactory=!0,s.fn=n,s.dependencies=t.slice().sort(),a&&(s.meta=a),s}function isFactory(n){return typeof n=="function"&&typeof n.fn=="string"&&Array.isArray(n.dependencies)}function assertDependencies(n,t,r){var a=t.filter(l=>!isOptionalDependency(l)).every(l=>r[l]!==void 0);if(!a){var s=t.filter(l=>r[l]===void 0);throw new Error('Cannot create function "'.concat(n,'", ')+"some dependencies are missing: ".concat(s.map(l=>'"'.concat(l,'"')).join(", "),"."))}}function isOptionalDependency(n){return n&&n[0]==="?"}function stripOptionalNotation(n){return n&&n[0]==="?"?n.slice(1):n}function getSafeProperty(n,t){if(isPlainObject(n)&&isSafeProperty(n,t))return n[t];throw typeof n[t]=="function"&&isSafeMethod(n,t)?new Error('Cannot access method "'+t+'" as a property'):new Error('No access to property "'+t+'"')}function setSafeProperty(n,t,r){if(isPlainObject(n)&&isSafeProperty(n,t))return n[t]=r,r;throw new Error('No access to property "'+t+'"')}function hasSafeProperty(n,t){return t in n}function isSafeProperty(n,t){return!n||typeof n!="object"?!1:hasOwnProperty(safeNativeProperties,t)?!0:!(t in Object.prototype||t in Function.prototype)}function getSafeMethod(n,t){if(!isSafeMethod(n,t))throw new Error('No access to method "'+t+'"');return n[t]}function isSafeMethod(n,t){return n==null||typeof n[t]!="function"||hasOwnProperty(n,t)&&Object.getPrototypeOf&&t in Object.getPrototypeOf(n)?!1:hasOwnProperty(safeNativeMethods,t)?!0:!(t in Object.prototype||t in Function.prototype)}function isPlainObject(n){return typeof n=="object"&&n&&n.constructor===Object}var safeNativeProperties={length:!0,name:!0},safeNativeMethods={toString:!0,valueOf:!0,toLocaleString:!0};class ObjectWrappingMap{constructor(t){this.wrappedObject=t}keys(){return Object.keys(this.wrappedObject)}get(t){return getSafeProperty(this.wrappedObject,t)}set(t,r){return setSafeProperty(this.wrappedObject,t,r),this}has(t){return hasSafeProperty(this.wrappedObject,t)}}function createEmptyMap(){return new Map}function createMap$1(n){if(!n)return createEmptyMap();if(isMap(n))return n;if(isObject$1(n))return new ObjectWrappingMap(n);throw new Error("createMap can create maps from objects or Maps")}function toObject(n){if(n instanceof ObjectWrappingMap)return n.wrappedObject;var t={};for(var r of n.keys()){var a=n.get(r);setSafeProperty(t,r,a)}return t}function isMap(n){return n?n instanceof Map||n instanceof ObjectWrappingMap||typeof n.set=="function"&&typeof n.get=="function"&&typeof n.keys=="function"&&typeof n.has=="function":!1}function assign(n){for(var t=arguments.length,r=new Array(t>1?t-1:0),a=1;a<t;a++)r[a-1]=arguments[a];for(var s of r)if(s){if(isMap(s))for(var l of s.keys())n.set(l,s.get(l));else if(isObject$1(s))for(var u of Object.keys(s))n.set(u,s[u])}return n}var _createTyped2=function n(){return _createTyped2=typedFunction.create,typedFunction},dependencies$4U=["?BigNumber","?Complex","?DenseMatrix","?Fraction"],createTyped=factory("typed",dependencies$4U,function n(t){var{BigNumber:r,Complex:a,DenseMatrix:s,Fraction:l}=t,u=_createTyped2();return 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new TypeError("Cannot implicitly convert a number with >15 significant digits to BigNumber (value: "+m+"). 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To call it ")+"elementwise on a matrix 'M', try 'map(M, ".concat(_,")'."));throw x.data=f.data,x}throw f},u.onMismatch=(_,m,g)=>{var f=u.createError(_,m,g);if(["wrongType","mismatch"].includes(f.data.category)&&m.length===1&&isCollection(m[0])&&g.some(w=>!w.params.includes(","))){var x=new TypeError("Function '".concat(_,"' doesn't apply to matrices. To call it ")+"elementwise on a matrix 'M', try 'map(M, ".concat(_,")'."));throw x.data=f.data,x}throw f},u});function throwNoBignumber(n){throw new Error("Cannot convert value ".concat(n," into a BigNumber: no class 'BigNumber' provided"))}function throwNoComplex(n){throw new Error("Cannot convert value ".concat(n," into a Complex number: no class 'Complex' provided"))}function throwNoMatrix(){throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided")}function throwNoFraction(n){throw new Error("Cannot convert value ".concat(n," into a Fraction, no class 'Fraction' provided."))}var name$4V="ResultSet",dependencies$4T=[],createResultSet=factory(name$4V,dependencies$4T,()=>{function n(t){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");this.entries=t||[]}return n.prototype.type="ResultSet",n.prototype.isResultSet=!0,n.prototype.valueOf=function(){return this.entries},n.prototype.toString=function(){return"["+this.entries.join(", ")+"]"},n.prototype.toJSON=function(){return{mathjs:"ResultSet",entries:this.entries}},n.fromJSON=function(t){return new n(t.entries)},n},{isClass:!0});/*!
 *  decimal.js v10.4.3
 *  An arbitrary-precision Decimal type for JavaScript.
 *  https://github.com/MikeMcl/decimal.js
 *  Copyright (c) 2022 Michael Mclaughlin <M8ch88l@gmail.com>
 *  MIT Licence
 */var EXP_LIMIT=9e15,MAX_DIGITS=1e9,NUMERALS="0123456789abcdef",LN10$1="2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058",PI="3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789",DEFAULTS={precision:20,rounding:4,modulo:1,toExpNeg:-7,toExpPos:21,minE:-EXP_LIMIT,maxE:EXP_LIMIT,crypto:!1},inexact,quadrant,external=!0,decimalError="[DecimalError] 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n.d[0]?(external=!1,r=divide$1(r,n,0,t,1).times(n),external=!0,finalise(r)):(n.s=r.s,r=n),r};P$2.toNumber=function(){return+this};P$2.toOctal=function(n,t){return toStringBinary(this,8,n,t)};P$2.toPower=P$2.pow=function(n){var t,r,a,s,l,u,_=this,m=_.constructor,g=+(n=new m(n));if(!_.d||!n.d||!_.d[0]||!n.d[0])return new m(mathpow(+_,g));if(_=new m(_),_.eq(1))return _;if(a=m.precision,l=m.rounding,n.eq(1))return finalise(_,a,l);if(t=mathfloor(n.e/LOG_BASE),t>=n.d.length-1&&(r=g<0?-g:g)<=MAX_SAFE_INTEGER)return s=intPow(m,_,r,a),n.s<0?new m(1).div(s):finalise(s,a,l);if(u=_.s,u<0){if(t<n.d.length-1)return new m(NaN);if(n.d[t]&1||(u=1),_.e==0&&_.d[0]==1&&_.d.length==1)return _.s=u,_}return r=mathpow(+_,g),t=r==0||!isFinite(r)?mathfloor(g*(Math.log("0."+digitsToString(_.d))/Math.LN10+_.e+1)):new m(r+"").e,t>m.maxE+1||t<m.minE-1?new m(t>0?u/0:0):(external=!1,m.rounding=_.s=1,r=Math.min(12,(t+"").length),s=naturalExponential(n.times(naturalLogarithm(_,a+r)),a),s.d&&(s=finalise(s,a+5,1),checkRoundingDigits(s.d,a,l)&&(t=a+10,s=finalise(naturalExponential(n.times(naturalLogarithm(_,t+r)),t),t+5,1),+digitsToString(s.d).slice(a+1,a+15)+1==1e14&&(s=finalise(s,a+1,0)))),s.s=u,external=!0,m.rounding=l,finalise(s,a,l))};P$2.toPrecision=function(n,t){var r,a=this,s=a.constructor;return n===void 0?r=finiteToString(a,a.e<=s.toExpNeg||a.e>=s.toExpPos):(checkInt32(n,1,MAX_DIGITS),t===void 0?t=s.rounding:checkInt32(t,0,8),a=finalise(new s(a),n,t),r=finiteToString(a,n<=a.e||a.e<=s.toExpNeg,n)),a.isNeg()&&!a.isZero()?"-"+r:r};P$2.toSignificantDigits=P$2.toSD=function(n,t){var r=this,a=r.constructor;return n===void 0?(n=a.precision,t=a.rounding):(checkInt32(n,1,MAX_DIGITS),t===void 0?t=a.rounding:checkInt32(t,0,8)),finalise(new a(r),n,t)};P$2.toString=function(){var 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s,l,u,_;for(l=n[0];l>=10;l/=10)--t;return--t<0?(t+=LOG_BASE,s=0):(s=Math.ceil((t+1)/LOG_BASE),t%=LOG_BASE),l=mathpow(10,LOG_BASE-t),_=n[s]%l|0,a==null?t<3?(t==0?_=_/100|0:t==1&&(_=_/10|0),u=r<4&&_==99999||r>3&&_==49999||_==5e4||_==0):u=(r<4&&_+1==l||r>3&&_+1==l/2)&&(n[s+1]/l/100|0)==mathpow(10,t-2)-1||(_==l/2||_==0)&&(n[s+1]/l/100|0)==0:t<4?(t==0?_=_/1e3|0:t==1?_=_/100|0:t==2&&(_=_/10|0),u=(a||r<4)&&_==9999||!a&&r>3&&_==4999):u=((a||r<4)&&_+1==l||!a&&r>3&&_+1==l/2)&&(n[s+1]/l/1e3|0)==mathpow(10,t-3)-1,u}function convertBase(n,t,r){for(var a,s=[0],l,u=0,_=n.length;u<_;){for(l=s.length;l--;)s[l]*=t;for(s[0]+=NUMERALS.indexOf(n.charAt(u++)),a=0;a<s.length;a++)s[a]>r-1&&(s[a+1]===void 0&&(s[a+1]=0),s[a+1]+=s[a]/r|0,s[a]%=r)}return s.reverse()}function cosine(n,t){var r,a,s;if(t.isZero())return t;a=t.d.length,a<32?(r=Math.ceil(a/3),s=(1/tinyPow(4,r)).toString()):(r=16,s="2.3283064365386962890625e-10"),n.precision+=r,t=taylorSeries(n,1,t.times(s),new n(1));for(var l=r;l--;){var 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0}Dt[0]||Dt.shift()}if(Z==1)Ie.e=f,inexact=Ce;else{for(x=1,w=Dt[0];w>=10;w/=10)x++;Ie.e=x+f*Z-1,finalise(Ie,_?l+Ie.e+1:l,u,Ce)}return Ie}}();function finalise(n,t,r,a){var s,l,u,_,m,g,f,x,w,Z=n.constructor;e:if(t!=null){if(x=n.d,!x)return n;for(s=1,_=x[0];_>=10;_/=10)s++;if(l=t-s,l<0)l+=LOG_BASE,u=t,f=x[w=0],m=f/mathpow(10,s-u-1)%10|0;else if(w=Math.ceil((l+1)/LOG_BASE),_=x.length,w>=_)if(a){for(;_++<=w;)x.push(0);f=m=0,s=1,l%=LOG_BASE,u=l-LOG_BASE+1}else break e;else{for(f=_=x[w],s=1;_>=10;_/=10)s++;l%=LOG_BASE,u=l-LOG_BASE+s,m=u<0?0:f/mathpow(10,s-u-1)%10|0}if(a=a||t<0||x[w+1]!==void 0||(u<0?f:f%mathpow(10,s-u-1)),g=r<4?(m||a)&&(r==0||r==(n.s<0?3:2)):m>5||m==5&&(r==4||a||r==6&&(l>0?u>0?f/mathpow(10,s-u):0:x[w-1])%10&1||r==(n.s<0?8:7)),t<1||!x[0])return x.length=0,g?(t-=n.e+1,x[0]=mathpow(10,(LOG_BASE-t%LOG_BASE)%LOG_BASE),n.e=-t||0):x[0]=n.e=0,n;if(l==0?(x.length=w,_=1,w--):(x.length=w+1,_=mathpow(10,LOG_BASE-l),x[w]=u>0?(f/mathpow(10,s-u)%mathpow(10,u)|0)*_:0),g)for(;;)if(w==0){for(l=1,u=x[0];u>=10;u/=10)l++;for(u=x[0]+=_,_=1;u>=10;u/=10)_++;l!=_&&(n.e++,x[0]==BASE&&(x[0]=1));break}else{if(x[w]+=_,x[w]!=BASE)break;x[w--]=0,_=1}for(l=x.length;x[--l]===0;)x.pop()}return external&&(n.e>Z.maxE?(n.d=null,n.e=NaN):n.e<Z.minE&&(n.e=0,n.d=[0])),n}function finiteToString(n,t,r){if(!n.isFinite())return nonFiniteToString(n);var a,s=n.e,l=digitsToString(n.d),u=l.length;return t?(r&&(a=r-u)>0?l=l.charAt(0)+"."+l.slice(1)+getZeroString(a):u>1&&(l=l.charAt(0)+"."+l.slice(1)),l=l+(n.e<0?"e":"e+")+n.e):s<0?(l="0."+getZeroString(-s-1)+l,r&&(a=r-u)>0&&(l+=getZeroString(a))):s>=u?(l+=getZeroString(s+1-u),r&&(a=r-s-1)>0&&(l=l+"."+getZeroString(a))):((a=s+1)<u&&(l=l.slice(0,a)+"."+l.slice(a)),r&&(a=r-u)>0&&(s+1===u&&(l+="."),l+=getZeroString(a))),l}function getBase10Exponent(n,t){var r=n[0];for(t*=LOG_BASE;r>=10;r/=10)t++;return t}function getLn10(n,t,r){if(t>LN10_PRECISION)throw external=!0,r&&(n.precision=r),Error(precisionLimitExceeded);return finalise(new n(LN10$1),t,1,!0)}function getPi(n,t,r){if(t>PI_PRECISION)throw Error(precisionLimitExceeded);return finalise(new n(PI),t,r,!0)}function getPrecision(n){var t=n.length-1,r=t*LOG_BASE+1;if(t=n[t],t){for(;t%10==0;t/=10)r--;for(t=n[0];t>=10;t/=10)r++}return r}function getZeroString(n){for(var t="";n--;)t+="0";return t}function intPow(n,t,r,a){var s,l=new n(1),u=Math.ceil(a/LOG_BASE+4);for(external=!1;;){if(r%2&&(l=l.times(t),truncate(l.d,u)&&(s=!0)),r=mathfloor(r/2),r===0){r=l.d.length-1,s&&l.d[r]===0&&++l.d[r];break}t=t.times(t),truncate(t.d,u)}return external=!0,l}function isOdd(n){return n.d[n.d.length-1]&1}function maxOrMin(n,t,r){for(var a,s=new n(t[0]),l=0;++l<t.length;)if(a=new n(t[l]),a.s)s[r](a)&&(s=a);else{s=a;break}return s}function naturalExponential(n,t){var r,a,s,l,u,_,m,g=0,f=0,x=0,w=n.constructor,Z=w.rounding,Ce=w.precision;if(!n.d||!n.d[0]||n.e>17)return new w(n.d?n.d[0]?n.s<0?0:1/0:1:n.s?n.s<0?0:n:NaN);for(t==null?(external=!1,m=Ce):m=t,_=new w(.03125);n.e>-2;)n=n.times(_),x+=5;for(a=Math.log(mathpow(2,x))/Math.LN10*2+5|0,m+=a,r=l=u=new w(1),w.precision=m;;){if(l=finalise(l.times(n),m,1),r=r.times(++f),_=u.plus(divide$1(l,r,m,1)),digitsToString(_.d).slice(0,m)===digitsToString(u.d).slice(0,m)){for(s=x;s--;)u=finalise(u.times(u),m,1);if(t==null)if(g<3&&checkRoundingDigits(u.d,m-a,Z,g))w.precision=m+=10,r=l=_=new w(1),f=0,g++;else return finalise(u,w.precision=Ce,Z,external=!0);else return w.precision=Ce,u}u=_}}function naturalLogarithm(n,t){var r,a,s,l,u,_,m,g,f,x,w,Z=1,Ce=10,ne=n,$e=ne.d,Ie=ne.constructor,Dt=Ie.rounding,Lr=Ie.precision;if(ne.s<0||!$e||!$e[0]||!ne.e&&$e[0]==1&&$e.length==1)return new Ie($e&&!$e[0]?-1/0:ne.s!=1?NaN:$e?0:ne);if(t==null?(external=!1,f=Lr):f=t,Ie.precision=f+=Ce,r=digitsToString($e),a=r.charAt(0),Math.abs(l=ne.e)<15e14){for(;a<7&&a!=1||a==1&&r.charAt(1)>3;)ne=ne.times(n),r=digitsToString(ne.d),a=r.charAt(0),Z++;l=ne.e,a>1?(ne=new Ie("0."+r),l++):ne=new Ie(a+"."+r.slice(1))}else return g=getLn10(Ie,f+2,Lr).times(l+""),ne=naturalLogarithm(new Ie(a+"."+r.slice(1)),f-Ce).plus(g),Ie.precision=Lr,t==null?finalise(ne,Lr,Dt,external=!0):ne;for(x=ne,m=u=ne=divide$1(ne.minus(1),ne.plus(1),f,1),w=finalise(ne.times(ne),f,1),s=3;;){if(u=finalise(u.times(w),f,1),g=m.plus(divide$1(u,new Ie(s),f,1)),digitsToString(g.d).slice(0,f)===digitsToString(m.d).slice(0,f))if(m=m.times(2),l!==0&&(m=m.plus(getLn10(Ie,f+2,Lr).times(l+""))),m=divide$1(m,new Ie(Z),f,1),t==null)if(checkRoundingDigits(m.d,f-Ce,Dt,_))Ie.precision=f+=Ce,g=u=ne=divide$1(x.minus(1),x.plus(1),f,1),w=finalise(ne.times(ne),f,1),s=_=1;else return finalise(m,Ie.precision=Lr,Dt,external=!0);else return Ie.precision=Lr,m;m=g,s+=2}}function nonFiniteToString(n){return String(n.s*n.s/0)}function parseDecimal(n,t){var r,a,s;for((r=t.indexOf("."))>-1&&(t=t.replace(".","")),(a=t.search(/e/i))>0?(r<0&&(r=a),r+=+t.slice(a+1),t=t.substring(0,a)):r<0&&(r=t.length),a=0;t.charCodeAt(a)===48;a++);for(s=t.length;t.charCodeAt(s-1)===48;--s);if(t=t.slice(a,s),t){if(s-=a,n.e=r=r-a-1,n.d=[],a=(r+1)%LOG_BASE,r<0&&(a+=LOG_BASE),a<s){for(a&&n.d.push(+t.slice(0,a)),s-=LOG_BASE;a<s;)n.d.push(+t.slice(a,a+=LOG_BASE));t=t.slice(a),a=LOG_BASE-t.length}else a-=s;for(;a--;)t+="0";n.d.push(+t),external&&(n.e>n.constructor.maxE?(n.d=null,n.e=NaN):n.e<n.constructor.minE&&(n.e=0,n.d=[0]))}else n.e=0,n.d=[0];return n}function parseOther(n,t){var r,a,s,l,u,_,m,g,f;if(t.indexOf("_")>-1){if(t=t.replace(/(\d)_(?=\d)/g,"$1"),isDecimal.test(t))return parseDecimal(n,t)}else if(t==="Infinity"||t==="NaN")return+t||(n.s=NaN),n.e=NaN,n.d=null,n;if(isHex.test(t))r=16,t=t.toLowerCase();else if(isBinary.test(t))r=2;else if(isOctal.test(t))r=8;else throw Error(invalidArgument+t);for(l=t.search(/p/i),l>0?(m=+t.slice(l+1),t=t.substring(2,l)):t=t.slice(2),l=t.indexOf("."),u=l>=0,a=n.constructor,u&&(t=t.replace(".",""),_=t.length,l=_-l,s=intPow(a,new a(r),l,l*2)),g=convertBase(t,r,BASE),f=g.length-1,l=f;g[l]===0;--l)g.pop();return l<0?new a(n.s*0):(n.e=getBase10Exponent(g,f),n.d=g,external=!1,u&&(n=divide$1(n,s,_*4)),m&&(n=n.times(Math.abs(m)<54?mathpow(2,m):Decimal.pow(2,m))),external=!0,n)}function sine(n,t){var r,a=t.d.length;if(a<3)return t.isZero()?t:taylorSeries(n,2,t,t);r=1.4*Math.sqrt(a),r=r>16?16:r|0,t=t.times(1/tinyPow(5,r)),t=taylorSeries(n,2,t,t);for(var s,l=new n(5),u=new n(16),_=new n(20);r--;)s=t.times(t),t=t.times(l.plus(s.times(u.times(s).minus(_))));return t}function taylorSeries(n,t,r,a,s){var l,u,_,m,g=n.precision,f=Math.ceil(g/LOG_BASE);for(external=!1,m=r.times(r),_=new n(a);;){if(u=divide$1(_.times(m),new n(t++*t++),g,1),_=s?a.plus(u):a.minus(u),a=divide$1(u.times(m),new n(t++*t++),g,1),u=_.plus(a),u.d[f]!==void 0){for(l=f;u.d[l]===_.d[l]&&l--;);if(l==-1)break}l=_,_=a,a=u,u=l}return external=!0,u.d.length=f+1,u}function tinyPow(n,t){for(var r=n;--t;)r*=n;return r}function toLessThanHalfPi(n,t){var r,a=t.s<0,s=getPi(n,n.precision,1),l=s.times(.5);if(t=t.abs(),t.lte(l))return quadrant=a?4:1,t;if(r=t.divToInt(s),r.isZero())quadrant=a?3:2;else{if(t=t.minus(r.times(s)),t.lte(l))return quadrant=isOdd(r)?a?2:3:a?4:1,t;quadrant=isOdd(r)?a?1:4:a?3:2}return t.minus(s).abs()}function toStringBinary(n,t,r,a){var s,l,u,_,m,g,f,x,w,Z=n.constructor,Ce=r!==void 0;if(Ce?(checkInt32(r,1,MAX_DIGITS),a===void 0?a=Z.rounding:checkInt32(a,0,8)):(r=Z.precision,a=Z.rounding),!n.isFinite())f=nonFiniteToString(n);else{for(f=finiteToString(n),u=f.indexOf("."),Ce?(s=2,t==16?r=r*4-3:t==8&&(r=r*3-2)):s=t,u>=0&&(f=f.replace(".",""),w=new Z(1),w.e=f.length-u,w.d=convertBase(finiteToString(w),10,s),w.e=w.d.length),x=convertBase(f,10,s),l=m=x.length;x[--m]==0;)x.pop();if(!x[0])f=Ce?"0p+0":"0";else{if(u<0?l--:(n=new Z(n),n.d=x,n.e=l,n=divide$1(n,w,r,a,0,s),x=n.d,l=n.e,g=inexact),u=x[r],_=s/2,g=g||x[r+1]!==void 0,g=a<4?(u!==void 0||g)&&(a===0||a===(n.s<0?3:2)):u>_||u===_&&(a===4||g||a===6&&x[r-1]&1||a===(n.s<0?8:7)),x.length=r,g)for(;++x[--r]>s-1;)x[r]=0,r||(++l,x.unshift(1));for(m=x.length;!x[m-1];--m);for(u=0,f="";u<m;u++)f+=NUMERALS.charAt(x[u]);if(Ce){if(m>1)if(t==16||t==8){for(u=t==16?4:3,--m;m%u;m++)f+="0";for(x=convertBase(f,s,t),m=x.length;!x[m-1];--m);for(u=1,f="1.";u<m;u++)f+=NUMERALS.charAt(x[u])}else 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mul(n,t){return new this(n).mul(t)}function pow$1(n,t){return new this(n).pow(t)}function random$1(n){var t,r,a,s,l=0,u=new this(1),_=[];if(n===void 0?n=this.precision:checkInt32(n,1,MAX_DIGITS),a=Math.ceil(n/LOG_BASE),this.crypto)if(crypto.getRandomValues)for(t=crypto.getRandomValues(new Uint32Array(a));l<a;)s=t[l],s>=429e7?t[l]=crypto.getRandomValues(new Uint32Array(1))[0]:_[l++]=s%1e7;else if(crypto.randomBytes){for(t=crypto.randomBytes(a*=4);l<a;)s=t[l]+(t[l+1]<<8)+(t[l+2]<<16)+((t[l+3]&127)<<24),s>=214e7?crypto.randomBytes(4).copy(t,l):(_.push(s%1e7),l+=4);l=a/4}else throw Error(cryptoUnavailable);else for(;l<a;)_[l++]=Math.random()*1e7|0;for(a=_[--l],n%=LOG_BASE,a&&n&&(s=mathpow(10,LOG_BASE-n),_[l]=(a/s|0)*s);_[l]===0;l--)_.pop();if(l<0)r=0,_=[0];else{for(r=-1;_[0]===0;r-=LOG_BASE)_.shift();for(a=1,s=_[0];s>=10;s/=10)a++;a<LOG_BASE&&(r-=LOG_BASE-a)}return u.e=r,u.d=_,u}function round$1(n){return finalise(n=new this(n),n.e+1,this.rounding)}function sign$2(n){return n=new this(n),n.d?n.d[0]?n.s:0*n.s:n.s||NaN}function sin$1(n){return new this(n).sin()}function sinh$1(n){return new this(n).sinh()}function sqrt$1(n){return new this(n).sqrt()}function sub$1(n,t){return new this(n).sub(t)}function sum$1(){var n=0,t=arguments,r=new this(t[n]);for(external=!1;r.s&&++n<t.length;)r=r.plus(t[n]);return external=!0,finalise(r,this.precision,this.rounding)}function tan$1(n){return new this(n).tan()}function tanh$1(n){return new this(n).tanh()}function trunc(n){return finalise(n=new this(n),n.e+1,1)}P$2[Symbol.for("nodejs.util.inspect.custom")]=P$2.toString;P$2[Symbol.toStringTag]="Decimal";var Decimal=P$2.constructor=clone$2(DEFAULTS);LN10$1=new Decimal(LN10$1);PI=new Decimal(PI);var name$4U="BigNumber",dependencies$4S=["?on","config"],createBigNumberClass=factory(name$4U,dependencies$4S,n=>{var{on:t,config:r}=n,a=Decimal.clone({precision:r.precision,modulo:Decimal.EUCLID});return a.prototype=Object.create(a.prototype),a.prototype.type="BigNumber",a.prototype.isBigNumber=!0,a.prototype.toJSON=function(){return{mathjs:"BigNumber",value:this.toString()}},a.fromJSON=function(s){return new a(s.value)},t&&t("config",function(s,l){s.precision!==l.precision&&a.config({precision:s.precision})}),a},{isClass:!0}),complex$1={exports:{}};/**
 * @license Complex.js v2.1.1 12/05/2020
 *
 * Copyright (c) 2020, Robert Eisele (robert@xarg.org)
 * Dual licensed under the MIT or GPL Version 2 licenses.
 **/(function(n,t){(function(r){var a=Math.cosh||function(x){return Math.abs(x)<1e-9?1-x:(Math.exp(x)+Math.exp(-x))*.5},s=Math.sinh||function(x){return Math.abs(x)<1e-9?x:(Math.exp(x)-Math.exp(-x))*.5},l=function(x){var w=Math.PI/4;if(-w>x||x>w)return Math.cos(x)-1;var Z=x*x;return Z*(Z*(Z*(Z*(Z*(Z*(Z*(Z/20922789888e3-1/87178291200)+1/479001600)-1/3628800)+1/40320)-1/720)+1/24)-1/2)},u=function(x,w){var Z=Math.abs(x),Ce=Math.abs(w);return Z<3e3&&Ce<3e3?Math.sqrt(Z*Z+Ce*Ce):(Z<Ce?(Z=Ce,Ce=x/w):Ce=w/x,Z*Math.sqrt(1+Ce*Ce))},_=function(){throw SyntaxError("Invalid Param")};function m(x,w){var Z=Math.abs(x),Ce=Math.abs(w);return x===0?Math.log(Ce):w===0?Math.log(Z):Z<3e3&&Ce<3e3?Math.log(x*x+w*w)*.5:(x=x/2,w=w/2,.5*Math.log(x*x+w*w)+Math.LN2)}var g=function(x,w){var Z={re:0,im:0};if(x==null)Z.re=Z.im=0;else if(w!==void 0)Z.re=x,Z.im=w;else switch(typeof x){case"object":if("im"in x&&"re"in x)Z.re=x.re,Z.im=x.im;else if("abs"in x&&"arg"in x){if(!Number.isFinite(x.abs)&&Number.isFinite(x.arg))return f.INFINITY;Z.re=x.abs*Math.cos(x.arg),Z.im=x.abs*Math.sin(x.arg)}else if("r"in x&&"phi"in x){if(!Number.isFinite(x.r)&&Number.isFinite(x.phi))return f.INFINITY;Z.re=x.r*Math.cos(x.phi),Z.im=x.r*Math.sin(x.phi)}else x.length===2?(Z.re=x[0],Z.im=x[1]):_();break;case"string":Z.im=Z.re=0;var Ce=x.match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g),ne=1,$e=0;Ce===null&&_();for(var Ie=0;Ie<Ce.length;Ie++){var Dt=Ce[Ie];Dt===" "||Dt==="	"||Dt===`
`||(Dt==="+"?ne++:Dt==="-"?$e++:Dt==="i"||Dt==="I"?(ne+$e===0&&_(),Ce[Ie+1]!==" "&&!isNaN(Ce[Ie+1])?(Z.im+=parseFloat(($e%2?"-":"")+Ce[Ie+1]),Ie++):Z.im+=parseFloat(($e%2?"-":"")+"1"),ne=$e=0):((ne+$e===0||isNaN(Dt))&&_(),Ce[Ie+1]==="i"||Ce[Ie+1]==="I"?(Z.im+=parseFloat(($e%2?"-":"")+Dt),Ie++):Z.re+=parseFloat(($e%2?"-":"")+Dt),ne=$e=0))}ne+$e>0&&_();break;case"number":Z.im=0,Z.re=x;break;default:_()}return isNaN(Z.re)||isNaN(Z.im),Z};function f(x,w){if(!(this instanceof f))return new f(x,w);var Z=g(x,w);this.re=Z.re,this.im=Z.im}f.prototype={re:0,im:0,sign:function(){var x=this.abs();return new f(this.re/x,this.im/x)},add:function(x,w){var Z=new f(x,w);return this.isInfinite()&&Z.isInfinite()?f.NAN:this.isInfinite()||Z.isInfinite()?f.INFINITY:new f(this.re+Z.re,this.im+Z.im)},sub:function(x,w){var Z=new f(x,w);return this.isInfinite()&&Z.isInfinite()?f.NAN:this.isInfinite()||Z.isInfinite()?f.INFINITY:new f(this.re-Z.re,this.im-Z.im)},mul:function(x,w){var Z=new f(x,w);return this.isInfinite()&&Z.isZero()||this.isZero()&&Z.isInfinite()?f.NAN:this.isInfinite()||Z.isInfinite()?f.INFINITY:Z.im===0&&this.im===0?new f(this.re*Z.re,0):new f(this.re*Z.re-this.im*Z.im,this.re*Z.im+this.im*Z.re)},div:function(x,w){var Z=new f(x,w);if(this.isZero()&&Z.isZero()||this.isInfinite()&&Z.isInfinite())return f.NAN;if(this.isInfinite()||Z.isZero())return f.INFINITY;if(this.isZero()||Z.isInfinite())return f.ZERO;x=this.re,w=this.im;var Ce=Z.re,ne=Z.im,$e,Ie;return ne===0?new f(x/Ce,w/Ce):Math.abs(Ce)<Math.abs(ne)?(Ie=Ce/ne,$e=Ce*Ie+ne,new f((x*Ie+w)/$e,(w*Ie-x)/$e)):(Ie=ne/Ce,$e=ne*Ie+Ce,new f((x+w*Ie)/$e,(w-x*Ie)/$e))},pow:function(x,w){var Z=new f(x,w);if(x=this.re,w=this.im,Z.isZero())return f.ONE;if(Z.im===0){if(w===0&&x>0)return new f(Math.pow(x,Z.re),0);if(x===0)switch((Z.re%4+4)%4){case 0:return new f(Math.pow(w,Z.re),0);case 1:return new f(0,Math.pow(w,Z.re));case 2:return new f(-Math.pow(w,Z.re),0);case 3:return new f(0,-Math.pow(w,Z.re))}}if(x===0&&w===0&&Z.re>0&&Z.im>=0)return f.ZERO;var Ce=Math.atan2(w,x),ne=m(x,w);return x=Math.exp(Z.re*ne-Z.im*Ce),w=Z.im*ne+Z.re*Ce,new f(x*Math.cos(w),x*Math.sin(w))},sqrt:function(){var x=this.re,w=this.im,Z=this.abs(),Ce,ne;if(x>=0){if(w===0)return new f(Math.sqrt(x),0);Ce=.5*Math.sqrt(2*(Z+x))}else Ce=Math.abs(w)/Math.sqrt(2*(Z-x));return x<=0?ne=.5*Math.sqrt(2*(Z-x)):ne=Math.abs(w)/Math.sqrt(2*(Z+x)),new f(Ce,w<0?-ne:ne)},exp:function(){var x=Math.exp(this.re);return this.im,new f(x*Math.cos(this.im),x*Math.sin(this.im))},expm1:function(){var x=this.re,w=this.im;return new f(Math.expm1(x)*Math.cos(w)+l(w),Math.exp(x)*Math.sin(w))},log:function(){var x=this.re,w=this.im;return new f(m(x,w),Math.atan2(w,x))},abs:function(){return u(this.re,this.im)},arg:function(){return Math.atan2(this.im,this.re)},sin:function(){var x=this.re,w=this.im;return new f(Math.sin(x)*a(w),Math.cos(x)*s(w))},cos:function(){var x=this.re,w=this.im;return new f(Math.cos(x)*a(w),-Math.sin(x)*s(w))},tan:function(){var x=2*this.re,w=2*this.im,Z=Math.cos(x)+a(w);return new f(Math.sin(x)/Z,s(w)/Z)},cot:function(){var x=2*this.re,w=2*this.im,Z=Math.cos(x)-a(w);return new f(-Math.sin(x)/Z,s(w)/Z)},sec:function(){var x=this.re,w=this.im,Z=.5*a(2*w)+.5*Math.cos(2*x);return new f(Math.cos(x)*a(w)/Z,Math.sin(x)*s(w)/Z)},csc:function(){var x=this.re,w=this.im,Z=.5*a(2*w)-.5*Math.cos(2*x);return new f(Math.sin(x)*a(w)/Z,-Math.cos(x)*s(w)/Z)},asin:function(){var x=this.re,w=this.im,Z=new f(w*w-x*x+1,-2*x*w).sqrt(),Ce=new f(Z.re-w,Z.im+x).log();return new f(Ce.im,-Ce.re)},acos:function(){var x=this.re,w=this.im,Z=new f(w*w-x*x+1,-2*x*w).sqrt(),Ce=new f(Z.re-w,Z.im+x).log();return new f(Math.PI/2-Ce.im,Ce.re)},atan:function(){var x=this.re,w=this.im;if(x===0){if(w===1)return new f(0,1/0);if(w===-1)return new f(0,-1/0)}var Z=x*x+(1-w)*(1-w),Ce=new f((1-w*w-x*x)/Z,-2*x/Z).log();return new f(-.5*Ce.im,.5*Ce.re)},acot:function(){var x=this.re,w=this.im;if(w===0)return new f(Math.atan2(1,x),0);var Z=x*x+w*w;return Z!==0?new f(x/Z,-w/Z).atan():new f(x!==0?x/0:0,w!==0?-w/0:0).atan()},asec:function(){var x=this.re,w=this.im;if(x===0&&w===0)return new f(0,1/0);var Z=x*x+w*w;return Z!==0?new f(x/Z,-w/Z).acos():new f(x!==0?x/0:0,w!==0?-w/0:0).acos()},acsc:function(){var x=this.re,w=this.im;if(x===0&&w===0)return new f(Math.PI/2,1/0);var Z=x*x+w*w;return Z!==0?new f(x/Z,-w/Z).asin():new f(x!==0?x/0:0,w!==0?-w/0:0).asin()},sinh:function(){var x=this.re,w=this.im;return new f(s(x)*Math.cos(w),a(x)*Math.sin(w))},cosh:function(){var x=this.re,w=this.im;return new f(a(x)*Math.cos(w),s(x)*Math.sin(w))},tanh:function(){var x=2*this.re,w=2*this.im,Z=a(x)+Math.cos(w);return new f(s(x)/Z,Math.sin(w)/Z)},coth:function(){var x=2*this.re,w=2*this.im,Z=a(x)-Math.cos(w);return new f(s(x)/Z,-Math.sin(w)/Z)},csch:function(){var x=this.re,w=this.im,Z=Math.cos(2*w)-a(2*x);return new f(-2*s(x)*Math.cos(w)/Z,2*a(x)*Math.sin(w)/Z)},sech:function(){var x=this.re,w=this.im,Z=Math.cos(2*w)+a(2*x);return new f(2*a(x)*Math.cos(w)/Z,-2*s(x)*Math.sin(w)/Z)},asinh:function(){var x=this.im;this.im=-this.re,this.re=x;var w=this.asin();return this.re=-this.im,this.im=x,x=w.re,w.re=-w.im,w.im=x,w},acosh:function(){var x=this.acos();if(x.im<=0){var w=x.re;x.re=-x.im,x.im=w}else{var w=x.im;x.im=-x.re,x.re=w}return x},atanh:function(){var x=this.re,w=this.im,Z=x>1&&w===0,Ce=1-x,ne=1+x,$e=Ce*Ce+w*w,Ie=$e!==0?new f((ne*Ce-w*w)/$e,(w*Ce+ne*w)/$e):new f(x!==-1?x/0:0,w!==0?w/0:0),Dt=Ie.re;return Ie.re=m(Ie.re,Ie.im)/2,Ie.im=Math.atan2(Ie.im,Dt)/2,Z&&(Ie.im=-Ie.im),Ie},acoth:function(){var x=this.re,w=this.im;if(x===0&&w===0)return new f(0,Math.PI/2);var Z=x*x+w*w;return Z!==0?new f(x/Z,-w/Z).atanh():new f(x!==0?x/0:0,w!==0?-w/0:0).atanh()},acsch:function(){var x=this.re,w=this.im;if(w===0)return new f(x!==0?Math.log(x+Math.sqrt(x*x+1)):1/0,0);var Z=x*x+w*w;return Z!==0?new f(x/Z,-w/Z).asinh():new f(x!==0?x/0:0,w!==0?-w/0:0).asinh()},asech:function(){var x=this.re,w=this.im;if(this.isZero())return f.INFINITY;var Z=x*x+w*w;return Z!==0?new f(x/Z,-w/Z).acosh():new f(x!==0?x/0:0,w!==0?-w/0:0).acosh()},inverse:function(){if(this.isZero())return f.INFINITY;if(this.isInfinite())return f.ZERO;var x=this.re,w=this.im,Z=x*x+w*w;return new f(x/Z,-w/Z)},conjugate:function(){return new f(this.re,-this.im)},neg:function(){return new f(-this.re,-this.im)},ceil:function(x){return x=Math.pow(10,x||0),new f(Math.ceil(this.re*x)/x,Math.ceil(this.im*x)/x)},floor:function(x){return x=Math.pow(10,x||0),new f(Math.floor(this.re*x)/x,Math.floor(this.im*x)/x)},round:function(x){return x=Math.pow(10,x||0),new f(Math.round(this.re*x)/x,Math.round(this.im*x)/x)},equals:function(x,w){var Z=new f(x,w);return Math.abs(Z.re-this.re)<=f.EPSILON&&Math.abs(Z.im-this.im)<=f.EPSILON},clone:function(){return new f(this.re,this.im)},toString:function(){var x=this.re,w=this.im,Z="";return this.isNaN()?"NaN":this.isInfinite()?"Infinity":(Math.abs(x)<f.EPSILON&&(x=0),Math.abs(w)<f.EPSILON&&(w=0),w===0?Z+x:(x!==0?(Z+=x,Z+=" ",w<0?(w=-w,Z+="-"):Z+="+",Z+=" "):w<0&&(w=-w,Z+="-"),w!==1&&(Z+=w),Z+"i"))},toVector:function(){return[this.re,this.im]},valueOf:function(){return this.im===0?this.re:null},isNaN:function(){return isNaN(this.re)||isNaN(this.im)},isZero:function(){return this.im===0&&this.re===0},isFinite:function(){return isFinite(this.re)&&isFinite(this.im)},isInfinite:function(){return!(this.isNaN()||this.isFinite())}},f.ZERO=new f(0,0),f.ONE=new f(1,0),f.I=new f(0,1),f.PI=new f(Math.PI,0),f.E=new f(Math.E,0),f.INFINITY=new f(1/0,1/0),f.NAN=new f(NaN,NaN),f.EPSILON=1e-15,Object.defineProperty(f,"__esModule",{value:!0}),f.default=f,f.Complex=f,n.exports=f})()})(complex$1);var complexExports=complex$1.exports;const Complex$1=getDefaultExportFromCjs(complexExports);var name$4T="Complex",dependencies$4R=[],createComplexClass=factory(name$4T,dependencies$4R,()=>(Object.defineProperty(Complex$1,"name",{value:"Complex"}),Complex$1.prototype.constructor=Complex$1,Complex$1.prototype.type="Complex",Complex$1.prototype.isComplex=!0,Complex$1.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},Complex$1.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},Complex$1.prototype.format=function(n){var t="",r=this.im,a=this.re,s=format$4(this.re,n),l=format$4(this.im,n),u=isNumber(n)?n:n?n.precision:null;if(u!==null){var _=Math.pow(10,-u);Math.abs(a/r)<_&&(a=0),Math.abs(r/a)<_&&(r=0)}return r===0?t=s:a===0?r===1?t="i":r===-1?t="-i":t=l+"i":r<0?r===-1?t=s+" - i":t=s+" - "+l.substring(1)+"i":r===1?t=s+" + i":t=s+" + "+l+"i",t},Complex$1.fromPolar=function(n){switch(arguments.length){case 1:{var t=arguments[0];if(typeof t=="object")return Complex$1(t);throw new TypeError("Input has to be an object with r and phi keys.")}case 2:{var r=arguments[0],a=arguments[1];if(isNumber(r)){if(isUnit(a)&&a.hasBase("ANGLE")&&(a=a.toNumber("rad")),isNumber(a))return new Complex$1({r,phi:a});throw new TypeError("Phi is not a number nor an angle unit.")}else throw new TypeError("Radius r is not a number.")}default:throw new SyntaxError("Wrong number of arguments in function fromPolar")}},Complex$1.prototype.valueOf=Complex$1.prototype.toString,Complex$1.fromJSON=function(n){return new Complex$1(n)},Complex$1.compare=function(n,t){return n.re>t.re?1:n.re<t.re?-1:n.im>t.im?1:n.im<t.im?-1:0},Complex$1),{isClass:!0}),fraction$2={exports:{}};/**
 * @license Fraction.js v4.3.0 20/08/2023
 * https://www.xarg.org/2014/03/rational-numbers-in-javascript/
 *
 * Copyright (c) 2023, Robert Eisele (robert@raw.org)
 * Dual licensed under the MIT or GPL Version 2 licenses.
 **/(function(n,t){(function(r){var a=2e3,s={s:1,n:0,d:1};function l(Ie,Dt){if(isNaN(Ie=parseInt(Ie,10)))throw ne();return Ie*Dt}function u(Ie,Dt){if(Dt===0)throw Ce();var Lr=Object.create(Z.prototype);Lr.s=Ie<0?-1:1,Ie=Ie<0?-Ie:Ie;var ec=w(Ie,Dt);return Lr.n=Ie/ec,Lr.d=Dt/ec,Lr}function _(Ie){for(var Dt={},Lr=Ie,ec=2,ys=4;ys<=Lr;){for(;Lr%ec===0;)Lr/=ec,Dt[ec]=(Dt[ec]||0)+1;ys+=1+2*ec++}return Lr!==Ie?Lr>1&&(Dt[Lr]=(Dt[Lr]||0)+1):Dt[Ie]=(Dt[Ie]||0)+1,Dt}var m=function(Ie,Dt){var Lr=0,ec=1,ys=1,tc=0,nc=0,ac=0,sc=1,cc=1,uc=0,lc=1,e0=1,dc=1,kc=1e7,Jc;if(Ie!=null)if(Dt!==void 0){if(Lr=Ie,ec=Dt,ys=Lr*ec,Lr%1!==0||ec%1!==0)throw $e()}else switch(typeof Ie){case"object":{if("d"in Ie&&"n"in Ie)Lr=Ie.n,ec=Ie.d,"s"in Ie&&(Lr*=Ie.s);else if(0 in Ie)Lr=Ie[0],1 in Ie&&(ec=Ie[1]);else throw ne();ys=Lr*ec;break}case"number":{if(Ie<0&&(ys=Ie,Ie=-Ie),Ie%1===0)Lr=Ie;else if(Ie>0){for(Ie>=1&&(cc=Math.pow(10,Math.floor(1+Math.log(Ie)/Math.LN10)),Ie/=cc);lc<=kc&&dc<=kc;)if(Jc=(uc+e0)/(lc+dc),Ie===Jc){lc+dc<=kc?(Lr=uc+e0,ec=lc+dc):dc>lc?(Lr=e0,ec=dc):(Lr=uc,ec=lc);break}else Ie>Jc?(uc+=e0,lc+=dc):(e0+=uc,dc+=lc),lc>kc?(Lr=e0,ec=dc):(Lr=uc,ec=lc);Lr*=cc}else(isNaN(Ie)||isNaN(Dt))&&(ec=Lr=NaN);break}case"string":{if(lc=Ie.match(/\d+|./g),lc===null)throw ne();if(lc[uc]==="-"?(ys=-1,uc++):lc[uc]==="+"&&uc++,lc.length===uc+1?nc=l(lc[uc++],ys):lc[uc+1]==="."||lc[uc]==="."?(lc[uc]!=="."&&(tc=l(lc[uc++],ys)),uc++,(uc+1===lc.length||lc[uc+1]==="("&&lc[uc+3]===")"||lc[uc+1]==="'"&&lc[uc+3]==="'")&&(nc=l(lc[uc],ys),sc=Math.pow(10,lc[uc].length),uc++),(lc[uc]==="("&&lc[uc+2]===")"||lc[uc]==="'"&&lc[uc+2]==="'")&&(ac=l(lc[uc+1],ys),cc=Math.pow(10,lc[uc+1].length)-1,uc+=3)):lc[uc+1]==="/"||lc[uc+1]===":"?(nc=l(lc[uc],ys),sc=l(lc[uc+2],1),uc+=3):lc[uc+3]==="/"&&lc[uc+1]===" 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integer")};Z.prototype={s:1,n:0,d:1,abs:function(){return u(this.n,this.d)},neg:function(){return u(-this.s*this.n,this.d)},add:function(Ie,Dt){return m(Ie,Dt),u(this.s*this.n*s.d+s.s*this.d*s.n,this.d*s.d)},sub:function(Ie,Dt){return m(Ie,Dt),u(this.s*this.n*s.d-s.s*this.d*s.n,this.d*s.d)},mul:function(Ie,Dt){return m(Ie,Dt),u(this.s*s.s*this.n*s.n,this.d*s.d)},div:function(Ie,Dt){return m(Ie,Dt),u(this.s*s.s*this.n*s.d,this.d*s.n)},clone:function(){return u(this.s*this.n,this.d)},mod:function(Ie,Dt){if(isNaN(this.n)||isNaN(this.d))return new Z(NaN);if(Ie===void 0)return u(this.s*this.n%this.d,1);if(m(Ie,Dt),s.n===0&&this.d===0)throw Ce();return u(this.s*(s.d*this.n)%(s.n*this.d),s.d*this.d)},gcd:function(Ie,Dt){return m(Ie,Dt),u(w(s.n,this.n)*w(s.d,this.d),s.d*this.d)},lcm:function(Ie,Dt){return m(Ie,Dt),s.n===0&&this.n===0?u(0,1):u(s.n*this.n,w(s.n,this.n)*w(s.d,this.d))},ceil:function(Ie){return Ie=Math.pow(10,Ie||0),isNaN(this.n)||isNaN(this.d)?new Z(NaN):u(Math.ceil(Ie*this.s*this.n/this.d),Ie)},floor:function(Ie){return Ie=Math.pow(10,Ie||0),isNaN(this.n)||isNaN(this.d)?new Z(NaN):u(Math.floor(Ie*this.s*this.n/this.d),Ie)},round:function(Ie){return Ie=Math.pow(10,Ie||0),isNaN(this.n)||isNaN(this.d)?new Z(NaN):u(Math.round(Ie*this.s*this.n/this.d),Ie)},inverse:function(){return u(this.s*this.d,this.n)},pow:function(Ie,Dt){if(m(Ie,Dt),s.d===1)return s.s<0?u(Math.pow(this.s*this.d,s.n),Math.pow(this.n,s.n)):u(Math.pow(this.s*this.n,s.n),Math.pow(this.d,s.n));if(this.s<0)return null;var Lr=_(this.n),ec=_(this.d),ys=1,tc=1;for(var nc in Lr)if(nc!=="1"){if(nc==="0"){ys=0;break}if(Lr[nc]*=s.n,Lr[nc]%s.d===0)Lr[nc]/=s.d;else return null;ys*=Math.pow(nc,Lr[nc])}for(var nc in ec)if(nc!=="1"){if(ec[nc]*=s.n,ec[nc]%s.d===0)ec[nc]/=s.d;else return null;tc*=Math.pow(nc,ec[nc])}return s.s<0?u(tc,ys):u(ys,tc)},equals:function(Ie,Dt){return m(Ie,Dt),this.s*this.n*s.d===s.s*s.n*this.d},compare:function(Ie,Dt){m(Ie,Dt);var Lr=this.s*this.n*s.d-s.s*s.n*this.d;return(0<Lr)-(Lr<0)},simplify:function(Ie){if(isNaN(this.n)||isNaN(this.d))return this;Ie=Ie||.001;for(var Dt=this.abs(),Lr=Dt.toContinued(),ec=1;ec<Lr.length;ec++){for(var ys=u(Lr[ec-1],1),tc=ec-2;tc>=0;tc--)ys=ys.inverse().add(Lr[tc]);if(Math.abs(ys.sub(Dt).valueOf())<Ie)return ys.mul(this.s)}return this},divisible:function(Ie,Dt){return m(Ie,Dt),!(!(s.n*this.d)||this.n*s.d%(s.n*this.d))},valueOf:function(){return this.s*this.n/this.d},toFraction:function(Ie){var Dt,Lr="",ec=this.n,ys=this.d;return this.s<0&&(Lr+="-"),ys===1?Lr+=ec:(Ie&&(Dt=Math.floor(ec/ys))>0&&(Lr+=Dt,Lr+=" ",ec%=ys),Lr+=ec,Lr+="/",Lr+=ys),Lr},toLatex:function(Ie){var Dt,Lr="",ec=this.n,ys=this.d;return this.s<0&&(Lr+="-"),ys===1?Lr+=ec:(Ie&&(Dt=Math.floor(ec/ys))>0&&(Lr+=Dt,ec%=ys),Lr+="\\frac{",Lr+=ec,Lr+="}{",Lr+=ys,Lr+="}"),Lr},toContinued:function(){var Ie,Dt=this.n,Lr=this.d,ec=[];if(isNaN(Dt)||isNaN(Lr))return ec;do ec.push(Math.floor(Dt/Lr)),Ie=Dt%Lr,Dt=Lr,Lr=Ie;while(Dt!==1);return ec},toString:function(Ie){var Dt=this.n,Lr=this.d;if(isNaN(Dt)||isNaN(Lr))return"NaN";Ie=Ie||15;var ec=f(Dt,Lr),ys=x(Dt,Lr,ec),tc=this.s<0?"-":"";if(tc+=Dt/Lr|0,Dt%=Lr,Dt*=10,Dt&&(tc+="."),ec){for(var nc=ys;nc--;)tc+=Dt/Lr|0,Dt%=Lr,Dt*=10;tc+="(";for(var nc=ec;nc--;)tc+=Dt/Lr|0,Dt%=Lr,Dt*=10;tc+=")"}else for(var nc=Ie;Dt&&nc--;)tc+=Dt/Lr|0,Dt%=Lr,Dt*=10;return tc}},Object.defineProperty(Z,"__esModule",{value:!0}),Z.default=Z,Z.Fraction=Z,n.exports=Z})()})(fraction$2);var fractionExports=fraction$2.exports;const Fraction$1=getDefaultExportFromCjs(fractionExports);var name$4S="Fraction",dependencies$4Q=[],createFractionClass=factory(name$4S,dependencies$4Q,()=>(Object.defineProperty(Fraction$1,"name",{value:"Fraction"}),Fraction$1.prototype.constructor=Fraction$1,Fraction$1.prototype.type="Fraction",Fraction$1.prototype.isFraction=!0,Fraction$1.prototype.toJSON=function(){return{mathjs:"Fraction",n:this.s*this.n,d:this.d}},Fraction$1.fromJSON=function(n){return new Fraction$1(n)},Fraction$1),{isClass:!0}),name$4R="Range",dependencies$4P=[],createRangeClass=factory(name$4R,dependencies$4P,()=>{function n(t,r,a){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");var s=t!=null,l=r!=null,u=a!=null;if(s){if(isBigNumber(t))t=t.toNumber();else if(typeof t!="number")throw new TypeError("Parameter start must be a number")}if(l){if(isBigNumber(r))r=r.toNumber();else if(typeof r!="number")throw new TypeError("Parameter end must be a number")}if(u){if(isBigNumber(a))a=a.toNumber();else if(typeof a!="number")throw new TypeError("Parameter step must be a number")}this.start=s?parseFloat(t):0,this.end=l?parseFloat(r):0,this.step=u?parseFloat(a):1}return n.prototype.type="Range",n.prototype.isRange=!0,n.parse=function(t){if(typeof t!="string")return null;var r=t.split(":"),a=r.map(function(l){return parseFloat(l)}),s=a.some(function(l){return isNaN(l)});if(s)return null;switch(a.length){case 2:return new n(a[0],a[1]);case 3:return new n(a[0],a[2],a[1]);default:return null}},n.prototype.clone=function(){return new n(this.start,this.end,this.step)},n.prototype.size=function(){var t=0,r=this.start,a=this.step,s=this.end,l=s-r;return sign$3(a)===sign$3(l)?t=Math.ceil(l/a):l===0&&(t=0),isNaN(t)&&(t=0),[t]},n.prototype.min=function(){var t=this.size()[0];if(t>0)return this.step>0?this.start:this.start+(t-1)*this.step},n.prototype.max=function(){var t=this.size()[0];if(t>0)return this.step>0?this.start+(t-1)*this.step:this.start},n.prototype.forEach=function(t){var r=this.start,a=this.step,s=this.end,l=0;if(a>0)for(;r<s;)t(r,[l],this),r+=a,l++;else if(a<0)for(;r>s;)t(r,[l],this),r+=a,l++},n.prototype.map=function(t){var r=[];return this.forEach(function(a,s,l){r[s[0]]=t(a,s,l)}),r},n.prototype.toArray=function(){var t=[];return this.forEach(function(r,a){t[a[0]]=r}),t},n.prototype.valueOf=function(){return this.toArray()},n.prototype.format=function(t){var r=format$4(this.start,t);return this.step!==1&&(r+=":"+format$4(this.step,t)),r+=":"+format$4(this.end,t),r},n.prototype.toString=function(){return this.format()},n.prototype.toJSON=function(){return{mathjs:"Range",start:this.start,end:this.end,step:this.step}},n.fromJSON=function(t){return new n(t.start,t.end,t.step)},n},{isClass:!0}),name$4Q="Matrix",dependencies$4O=[],createMatrixClass=factory(name$4Q,dependencies$4O,()=>{function n(){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator")}return n.prototype.type="Matrix",n.prototype.isMatrix=!0,n.prototype.storage=function(){throw new Error("Cannot invoke storage on a Matrix interface")},n.prototype.datatype=function(){throw new Error("Cannot invoke datatype on a Matrix interface")},n.prototype.create=function(t,r){throw new Error("Cannot invoke create on a Matrix interface")},n.prototype.subset=function(t,r,a){throw new Error("Cannot invoke subset on a Matrix interface")},n.prototype.get=function(t){throw new Error("Cannot invoke get on a Matrix interface")},n.prototype.set=function(t,r,a){throw new Error("Cannot invoke set on a Matrix interface")},n.prototype.resize=function(t,r){throw new Error("Cannot invoke resize on a Matrix interface")},n.prototype.reshape=function(t,r){throw new Error("Cannot invoke reshape on a Matrix interface")},n.prototype.clone=function(){throw new Error("Cannot invoke clone on a Matrix interface")},n.prototype.size=function(){throw new Error("Cannot invoke size on a Matrix interface")},n.prototype.map=function(t,r){throw new Error("Cannot invoke map on a Matrix interface")},n.prototype.forEach=function(t){throw new Error("Cannot invoke forEach on a Matrix interface")},n.prototype[Symbol.iterator]=function(){throw new Error("Cannot iterate a Matrix interface")},n.prototype.toArray=function(){throw new Error("Cannot invoke toArray on a Matrix interface")},n.prototype.valueOf=function(){throw new Error("Cannot invoke valueOf on a Matrix interface")},n.prototype.format=function(t){throw new Error("Cannot invoke format on a Matrix interface")},n.prototype.toString=function(){throw new Error("Cannot invoke toString on a Matrix interface")},n},{isClass:!0});function lruQueue(n){var t=0,r=1,a=Object.create(null),s=Object.create(null),l=0,u=function(m){var g=s[m];if(g&&(delete a[g],delete s[m],--t,r===g)){if(!t){l=0,r=1;return}for(;!Object.prototype.hasOwnProperty.call(a,++r););}};return n=Math.abs(n),{hit:function(m){var g=s[m],f=++l;if(a[f]=m,s[m]=f,!g)return++t,t<=n?void 0:(m=a[r],u(m),m);if(delete a[g],r===g)for(;!Object.prototype.hasOwnProperty.call(a,++r););},delete:u,clear:function(){t=l=0,r=1,a=Object.create(null),s=Object.create(null)}}}function memoize(n){var{hasher:t,limit:r}=arguments.length>1&&arguments[1]!==void 0?arguments[1]:{};return r=r??Number.POSITIVE_INFINITY,t=t??JSON.stringify,function a(){typeof a.cache!="object"&&(a.cache={values:new Map,lru:lruQueue(r||Number.POSITIVE_INFINITY)});for(var s=[],l=0;l<arguments.length;l++)s[l]=arguments[l];var u=t(s);if(a.cache.values.has(u))return a.cache.lru.hit(u),a.cache.values.get(u);var _=n.apply(n,s);return a.cache.values.set(u,_),a.cache.values.delete(a.cache.lru.hit(u)),_}}function maxArgumentCount(n){return Object.keys(n.signatures||{}).reduce(function(t,r){var a=(r.match(/,/g)||[]).length+1;return Math.max(t,a)},-1)}var name$4P="DenseMatrix",dependencies$4N=["Matrix"],createDenseMatrixClass=factory(name$4P,dependencies$4N,n=>{var{Matrix:t}=n;function r(f,x){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(x&&!isString$1(x))throw new Error("Invalid datatype: "+x);if(isMatrix(f))f.type==="DenseMatrix"?(this._data=clone$4(f._data),this._size=clone$4(f._size),this._datatype=x||f._datatype):(this._data=f.toArray(),this._size=f.size(),this._datatype=x||f._datatype);else if(f&&isArray$1(f.data)&&isArray$1(f.size))this._data=f.data,this._size=f.size,validate(this._data,this._size),this._datatype=x||f.datatype;else if(isArray$1(f))this._data=g(f),this._size=arraySize(this._data),validate(this._data,this._size),this._datatype=x;else{if(f)throw new TypeError("Unsupported type of data ("+typeOf$1(f)+")");this._data=[],this._size=[0],this._datatype=x}}r.prototype=new t,r.prototype.createDenseMatrix=function(f,x){return new r(f,x)},Object.defineProperty(r,"name",{value:"DenseMatrix"}),r.prototype.constructor=r,r.prototype.type="DenseMatrix",r.prototype.isDenseMatrix=!0,r.prototype.getDataType=function(){return getArrayDataType(this._data,typeOf$1)},r.prototype.storage=function(){return"dense"},r.prototype.datatype=function(){return this._datatype},r.prototype.create=function(f,x){return new r(f,x)},r.prototype.subset=function(f,x,w){switch(arguments.length){case 1:return a(this,f);case 2:case 3:return l(this,f,x,w);default:throw new SyntaxError("Wrong number of arguments")}},r.prototype.get=function(f){if(!isArray$1(f))throw new TypeError("Array expected");if(f.length!==this._size.length)throw new DimensionError(f.length,this._size.length);for(var x=0;x<f.length;x++)validateIndex(f[x],this._size[x]);for(var w=this._data,Z=0,Ce=f.length;Z<Ce;Z++){var ne=f[Z];validateIndex(ne,w.length),w=w[ne]}return w},r.prototype.set=function(f,x,w){if(!isArray$1(f))throw new TypeError("Array expected");if(f.length<this._size.length)throw new DimensionError(f.length,this._size.length,"<");var Z,Ce,ne,$e=f.map(function(Dt){return Dt+1});m(this,$e,w);var Ie=this._data;for(Z=0,Ce=f.length-1;Z<Ce;Z++)ne=f[Z],validateIndex(ne,Ie.length),Ie=Ie[ne];return ne=f[f.length-1],validateIndex(ne,Ie.length),Ie[ne]=x,this};function a(f,x){if(!isIndex(x))throw new TypeError("Invalid index");var w=x.isScalar();if(w)return f.get(x.min());var Z=x.size();if(Z.length!==f._size.length)throw new DimensionError(Z.length,f._size.length);for(var Ce=x.min(),ne=x.max(),$e=0,Ie=f._size.length;$e<Ie;$e++)validateIndex(Ce[$e],f._size[$e]),validateIndex(ne[$e],f._size[$e]);return new r(s(f._data,x,Z.length,0),f._datatype)}function s(f,x,w,Z){var Ce=Z===w-1,ne=x.dimension(Z);return Ce?ne.map(function($e){return validateIndex($e,f.length),f[$e]}).valueOf():ne.map(function($e){validateIndex($e,f.length);var Ie=f[$e];return s(Ie,x,w,Z+1)}).valueOf()}function l(f,x,w,Z){if(!x||x.isIndex!==!0)throw new 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$e(Lr,Dt.concat(ec))}):w===1?f(Ie):w===2?f(Ie,Dt):f(Ie,Dt,x)},Ce=Z(this._data,[]),ne=this._datatype!==void 0?getArrayDataType(Ce,typeOf$1):void 0;return new r(Ce,ne)},r.prototype.forEach=function(f){var x=this,w=function Z(Ce,ne){isArray$1(Ce)?Ce.forEach(function($e,Ie){Z($e,ne.concat(Ie))}):f(Ce,ne,x)};w(this._data,[])},r.prototype[Symbol.iterator]=function*(){var f=function*x(w,Z){if(isArray$1(w))for(var Ce=0;Ce<w.length;Ce++)yield*x(w[Ce],Z.concat(Ce));else yield{value:w,index:Z}};yield*f(this._data,[])},r.prototype.rows=function(){var f=[],x=this.size();if(x.length!==2)throw new TypeError("Rows can only be returned for a 2D matrix.");var w=this._data;for(var Z of w)f.push(new r([Z],this._datatype));return f},r.prototype.columns=function(){var f=this,x=[],w=this.size();if(w.length!==2)throw new TypeError("Rows can only be returned for a 2D matrix.");for(var Z=this._data,Ce=function(Ie){var Dt=Z.map(Lr=>[Lr[Ie]]);x.push(new r(Dt,f._datatype))},ne=0;ne<w[1];ne++)Ce(ne);return x},r.prototype.toArray=function(){return clone$4(this._data)},r.prototype.valueOf=function(){return this._data},r.prototype.format=function(f){return format$2(this._data,f)},r.prototype.toString=function(){return format$2(this._data)},r.prototype.toJSON=function(){return{mathjs:"DenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},r.prototype.diagonal=function(f){if(f){if(isBigNumber(f)&&(f=f.toNumber()),!isNumber(f)||!isInteger$1(f))throw new TypeError("The parameter k must be an integer number")}else f=0;for(var x=f>0?f:0,w=f<0?-f:0,Z=this._size[0],Ce=this._size[1],ne=Math.min(Z-w,Ce-x),$e=[],Ie=0;Ie<ne;Ie++)$e[Ie]=this._data[Ie+w][Ie+x];return new r({data:$e,size:[ne],datatype:this._datatype})},r.diagonal=function(f,x,w,Z){if(!isArray$1(f))throw new TypeError("Array expected, size parameter");if(f.length!==2)throw new Error("Only two dimensions matrix are 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Math.sqrt(2*Math.PI/n)*Math.pow(n/Math.E,n)*(1+1/(12*n)+1/(288*r)-139/(51840*a)-571/(2488320*s)+163879/(209018880*l)+5246819/(75246796800*l*n))}--n,t=gammaP[0];for(var u=1;u<gammaP.length;++u)t+=gammaP[u]/(n+u);var _=n+gammaG+.5;return Math.sqrt(2*Math.PI)*Math.pow(_,n+.5)*Math.exp(-_)*t}gammaNumber.signature="number";var gammaG=4.7421875,gammaP=[.9999999999999971,57.15623566586292,-59.59796035547549,14.136097974741746,-.4919138160976202,3399464998481189e-20,4652362892704858e-20,-9837447530487956e-20,.0001580887032249125,-.00021026444172410488,.00021743961811521265,-.0001643181065367639,8441822398385275e-20,-26190838401581408e-21,36899182659531625e-22],lnSqrt2PI=.9189385332046728,lgammaG=5,lgammaN=7,lgammaSeries=[1.000000000190015,76.18009172947146,-86.50532032941678,24.01409824083091,-1.231739572450155,.001208650973866179,-5395239384953e-18];function lgammaNumber(n){if(n<0)return NaN;if(n===0)return 1/0;if(!isFinite(n))return n;if(n<.5)return 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if(ne&&isArray$1(ne.index)&&isArray$1(ne.ptr)&&isArray$1(ne.size))this._values=ne.values,this._index=ne.index,this._ptr=ne.ptr,this._size=ne.size,this._datatype=$e||ne.datatype;else if(isArray$1(ne))u(this,ne,$e);else{if(ne)throw new TypeError("Unsupported type of data ("+typeOf$1(ne)+")");this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=$e}}function l(ne,$e,Ie){$e.type==="SparseMatrix"?(ne._values=$e._values?clone$4($e._values):void 0,ne._index=clone$4($e._index),ne._ptr=clone$4($e._ptr),ne._size=clone$4($e._size),ne._datatype=Ie||$e._datatype):u(ne,$e.valueOf(),Ie||$e._datatype)}function u(ne,$e,Ie){ne._values=[],ne._index=[],ne._ptr=[],ne._datatype=Ie;var Dt=$e.length,Lr=0,ec=r,ys=0;if(isString$1(Ie)&&(ec=t.find(r,[Ie,Ie])||r,ys=t.convert(0,Ie)),Dt>0){var tc=0;do{ne._ptr.push(ne._index.length);for(var nc=0;nc<Dt;nc++){var ac=$e[nc];if(isArray$1(ac)){if(tc===0&&Lr<ac.length&&(Lr=ac.length),tc<ac.length){var sc=ac[tc];ec(sc,ys)||(ne._values.push(sc),ne._index.push(nc))}}else tc===0&&Lr<1&&(Lr=1),ec(ac,ys)||(ne._values.push(ac),ne._index.push(nc))}tc++}while(tc<Lr)}ne._ptr.push(ne._index.length),ne._size=[Dt,Lr]}s.prototype=new a,s.prototype.createSparseMatrix=function(ne,$e){return new s(ne,$e)},Object.defineProperty(s,"name",{value:"SparseMatrix"}),s.prototype.constructor=s,s.prototype.type="SparseMatrix",s.prototype.isSparseMatrix=!0,s.prototype.getDataType=function(){return getArrayDataType(this._values,typeOf$1)},s.prototype.storage=function(){return"sparse"},s.prototype.datatype=function(){return this._datatype},s.prototype.create=function(ne,$e){return new s(ne,$e)},s.prototype.density=function(){var ne=this._size[0],$e=this._size[1];return ne!==0&&$e!==0?this._index.length/(ne*$e):0},s.prototype.subset=function(ne,$e,Ie){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return _(this,ne);case 2:case 3:return m(this,ne,$e,Ie);default:throw new SyntaxError("Wrong number of arguments")}};function _(ne,$e){if(!isIndex($e))throw new TypeError("Invalid index");var Ie=$e.isScalar();if(Ie)return ne.get($e.min());var Dt=$e.size();if(Dt.length!==ne._size.length)throw new DimensionError(Dt.length,ne._size.length);var Lr,ec,ys,tc,nc=$e.min(),ac=$e.max();for(Lr=0,ec=ne._size.length;Lr<ec;Lr++)validateIndex(nc[Lr],ne._size[Lr]),validateIndex(ac[Lr],ne._size[Lr]);var sc=ne._values,cc=ne._index,uc=ne._ptr,lc=$e.dimension(0),e0=$e.dimension(1),dc=[],kc=[];lc.forEach(function(t0,h0){kc[t0]=h0[0],dc[t0]=!0});var Jc=sc?[]:void 0,n0=[],d0=[];return e0.forEach(function(t0){for(d0.push(n0.length),ys=uc[t0],tc=uc[t0+1];ys<tc;ys++)Lr=cc[ys],dc[Lr]===!0&&(n0.push(kc[Lr]),Jc&&Jc.push(sc[ys]))}),d0.push(n0.length),new s({values:Jc,index:n0,ptr:d0,size:Dt,datatype:ne._datatype})}function m(ne,$e,Ie,Dt){if(!$e||$e.isIndex!==!0)throw new TypeError("Invalid index");var Lr=$e.size(),ec=$e.isScalar(),ys;if(isMatrix(Ie)?(ys=Ie.size(),Ie=Ie.toArray()):ys=arraySize(Ie),ec){if(ys.length!==0)throw new TypeError("Scalar expected");ne.set($e.min(),Ie,Dt)}else{if(Lr.length!==1&&Lr.length!==2)throw new DimensionError(Lr.length,ne._size.length,"<");if(ys.length<Lr.length){for(var tc=0,nc=0;Lr[tc]===1&&ys[tc]===1;)tc++;for(;Lr[tc]===1;)nc++,tc++;Ie=unsqueeze(Ie,Lr.length,nc,ys)}if(!deepStrictEqual(Lr,ys))throw new DimensionError(Lr,ys,">");if(Lr.length===1){var ac=$e.dimension(0);ac.forEach(function(uc,lc){validateIndex(uc),ne.set([uc,0],Ie[lc[0]],Dt)})}else{var sc=$e.dimension(0),cc=$e.dimension(1);sc.forEach(function(uc,lc){validateIndex(uc),cc.forEach(function(e0,dc){validateIndex(e0),ne.set([uc,e0],Ie[lc[0]][dc[0]],Dt)})})}}return ne}s.prototype.get=function(ne){if(!isArray$1(ne))throw new TypeError("Array expected");if(ne.length!==this._size.length)throw new DimensionError(ne.length,this._size.length);if(!this._values)throw new Error("Cannot invoke get on a Pattern only matrix");var $e=ne[0],Ie=ne[1];validateIndex($e,this._size[0]),validateIndex(Ie,this._size[1]);var Dt=g($e,this._ptr[Ie],this._ptr[Ie+1],this._index);return Dt<this._ptr[Ie+1]&&this._index[Dt]===$e?this._values[Dt]:0},s.prototype.set=function(ne,$e,Ie){if(!isArray$1(ne))throw new TypeError("Array expected");if(ne.length!==this._size.length)throw new DimensionError(ne.length,this._size.length);if(!this._values)throw new Error("Cannot invoke set on a Pattern only matrix");var Dt=ne[0],Lr=ne[1],ec=this._size[0],ys=this._size[1],tc=r,nc=0;isString$1(this._datatype)&&(tc=t.find(r,[this._datatype,this._datatype])||r,nc=t.convert(0,this._datatype)),(Dt>ec-1||Lr>ys-1)&&(w(this,Math.max(Dt+1,ec),Math.max(Lr+1,ys),Ie),ec=this._size[0],ys=this._size[1]),validateIndex(Dt,ec),validateIndex(Lr,ys);var ac=g(Dt,this._ptr[Lr],this._ptr[Lr+1],this._index);return ac<this._ptr[Lr+1]&&this._index[ac]===Dt?tc($e,nc)?f(ac,Lr,this._values,this._index,this._ptr):this._values[ac]=$e:tc($e,nc)||x(ac,Dt,Lr,$e,this._values,this._index,this._ptr),this};function g(ne,$e,Ie,Dt){if(Ie-$e===0)return Ie;for(var Lr=$e;Lr<Ie;Lr++)if(Dt[Lr]===ne)return Lr;return $e}function f(ne,$e,Ie,Dt,Lr){Ie.splice(ne,1),Dt.splice(ne,1);for(var ec=$e+1;ec<Lr.length;ec++)Lr[ec]--}function x(ne,$e,Ie,Dt,Lr,ec,ys){Lr.splice(ne,0,Dt),ec.splice(ne,0,$e);for(var tc=Ie+1;tc<ys.length;tc++)ys[tc]++}s.prototype.resize=function(ne,$e,Ie){if(!isCollection(ne))throw new TypeError("Array or Matrix expected");var Dt=ne.valueOf().map(ec=>Array.isArray(ec)&&ec.length===1?ec[0]:ec);if(Dt.length!==2)throw new Error("Only two dimensions matrix are supported");Dt.forEach(function(ec){if(!isNumber(ec)||!isInteger$1(ec)||ec<0)throw new TypeError("Invalid size, must contain positive integers (size: "+format$2(Dt)+")")});var Lr=Ie?this.clone():this;return w(Lr,Dt[0],Dt[1],$e)};function w(ne,$e,Ie,Dt){var Lr=Dt||0,ec=r,ys=0;isString$1(ne._datatype)&&(ec=t.find(r,[ne._datatype,ne._datatype])||r,ys=t.convert(0,ne._datatype),Lr=t.convert(Lr,ne._datatype));var tc=!ec(Lr,ys),nc=ne._size[0],ac=ne._size[1],sc,cc,uc;if(Ie>ac){for(cc=ac;cc<Ie;cc++)if(ne._ptr[cc]=ne._values.length,tc)for(sc=0;sc<nc;sc++)ne._values.push(Lr),ne._index.push(sc);ne._ptr[Ie]=ne._values.length}else Ie<ac&&(ne._ptr.splice(Ie+1,ac-Ie),ne._values.splice(ne._ptr[Ie],ne._values.length),ne._index.splice(ne._ptr[Ie],ne._index.length));if(ac=Ie,$e>nc){if(tc){var lc=0;for(cc=0;cc<ac;cc++){ne._ptr[cc]=ne._ptr[cc]+lc,uc=ne._ptr[cc+1]+lc;var e0=0;for(sc=nc;sc<$e;sc++,e0++)ne._values.splice(uc+e0,0,Lr),ne._index.splice(uc+e0,0,sc),lc++}ne._ptr[ac]=ne._values.length}}else if($e<nc){var dc=0;for(cc=0;cc<ac;cc++){ne._ptr[cc]=ne._ptr[cc]-dc;var kc=ne._ptr[cc],Jc=ne._ptr[cc+1]-dc;for(uc=kc;uc<Jc;uc++)sc=ne._index[uc],sc>$e-1&&(ne._values.splice(uc,1),ne._index.splice(uc,1),dc++)}ne._ptr[cc]=ne._values.length}return ne._size[0]=$e,ne._size[1]=Ie,ne}s.prototype.reshape=function(ne,$e){if(!isArray$1(ne))throw new TypeError("Array expected");if(ne.length!==2)throw new Error("Sparse matrices can only be reshaped in two dimensions");ne.forEach(function(t0){if(!isNumber(t0)||!isInteger$1(t0)||t0<=-2||t0===0)throw new TypeError("Invalid size, must contain positive integers or -1 (size: "+format$2(ne)+")")});var Ie=this._size[0]*this._size[1];ne=processSizesWildcard(ne,Ie);var Dt=ne[0]*ne[1];if(Ie!==Dt)throw new Error("Reshaping sparse matrix will result in the wrong number of elements");var Lr=$e?this.clone():this;if(this._size[0]===ne[0]&&this._size[1]===ne[1])return Lr;for(var ec=[],ys=0;ys<Lr._ptr.length;ys++)for(var tc=0;tc<Lr._ptr[ys+1]-Lr._ptr[ys];tc++)ec.push(ys);for(var nc=Lr._values.slice(),ac=Lr._index.slice(),sc=0;sc<Lr._index.length;sc++){var cc=ac[sc],uc=ec[sc],lc=cc*Lr._size[1]+uc;ec[sc]=lc%ne[1],ac[sc]=Math.floor(lc/ne[1])}Lr._values.length=0,Lr._index.length=0,Lr._ptr.length=ne[1]+1,Lr._size=ne.slice();for(var e0=0;e0<Lr._ptr.length;e0++)Lr._ptr[e0]=0;for(var dc=0;dc<nc.length;dc++){var kc=ac[dc],Jc=ec[dc],n0=nc[dc],d0=g(kc,Lr._ptr[Jc],Lr._ptr[Jc+1],Lr._index);x(d0,kc,Jc,n0,Lr._values,Lr._index,Lr._ptr)}return Lr},s.prototype.clone=function(){var ne=new s({values:this._values?clone$4(this._values):void 0,index:clone$4(this._index),ptr:clone$4(this._ptr),size:clone$4(this._size),datatype:this._datatype});return ne},s.prototype.size=function(){return this._size.slice(0)},s.prototype.map=function(ne,$e){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var Ie=this,Dt=this._size[0],Lr=this._size[1],ec=maxArgumentCount(ne),ys=function(nc,ac,sc){return ec===1?ne(nc):ec===2?ne(nc,[ac,sc]):ne(nc,[ac,sc],Ie)};return Z(this,0,Dt-1,0,Lr-1,ys,$e)};function Z(ne,$e,Ie,Dt,Lr,ec,ys){var tc=[],nc=[],ac=[],sc=r,cc=0;isString$1(ne._datatype)&&(sc=t.find(r,[ne._datatype,ne._datatype])||r,cc=t.convert(0,ne._datatype));for(var uc=function(f0,q0,D0){f0=ec(f0,q0,D0),sc(f0,cc)||(tc.push(f0),nc.push(q0))},lc=Dt;lc<=Lr;lc++){ac.push(tc.length);var e0=ne._ptr[lc],dc=ne._ptr[lc+1];if(ys)for(var kc=e0;kc<dc;kc++){var Jc=ne._index[kc];Jc>=$e&&Jc<=Ie&&uc(ne._values[kc],Jc-$e,lc-Dt)}else{for(var n0={},d0=e0;d0<dc;d0++){var t0=ne._index[d0];n0[t0]=ne._values[d0]}for(var h0=$e;h0<=Ie;h0++){var _0=h0 in n0?n0[h0]:0;uc(_0,h0-$e,lc-Dt)}}}return ac.push(tc.length),new s({values:tc,index:nc,ptr:ac,size:[Ie-$e+1,Lr-Dt+1]})}s.prototype.forEach=function(ne,$e){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var Ie=this,Dt=this._size[0],Lr=this._size[1],ec=0;ec<Lr;ec++){var ys=this._ptr[ec],tc=this._ptr[ec+1];if($e)for(var nc=ys;nc<tc;nc++){var ac=this._index[nc];ne(this._values[nc],[ac,ec],Ie)}else{for(var sc={},cc=ys;cc<tc;cc++){var uc=this._index[cc];sc[uc]=this._values[cc]}for(var lc=0;lc<Dt;lc++){var e0=lc in sc?sc[lc]:0;ne(e0,[lc,ec],Ie)}}}},s.prototype[Symbol.iterator]=function*(){if(!this._values)throw new Error("Cannot iterate a Pattern only matrix");for(var ne=this._size[1],$e=0;$e<ne;$e++)for(var Ie=this._ptr[$e],Dt=this._ptr[$e+1],Lr=Ie;Lr<Dt;Lr++){var ec=this._index[Lr];yield{value:this._values[Lr],index:[ec,$e]}}},s.prototype.toArray=function(){return Ce(this._values,this._index,this._ptr,this._size,!0)},s.prototype.valueOf=function(){return Ce(this._values,this._index,this._ptr,this._size,!1)};function Ce(ne,$e,Ie,Dt,Lr){var ec=Dt[0],ys=Dt[1],tc=[],nc,ac;for(nc=0;nc<ec;nc++)for(tc[nc]=[],ac=0;ac<ys;ac++)tc[nc][ac]=0;for(ac=0;ac<ys;ac++)for(var sc=Ie[ac],cc=Ie[ac+1],uc=sc;uc<cc;uc++)nc=$e[uc],tc[nc][ac]=ne?Lr?clone$4(ne[uc]):ne[uc]:1;return tc}return s.prototype.format=function(ne){for(var $e=this._size[0],Ie=this._size[1],Dt=this.density(),Lr="Sparse Matrix ["+format$2($e,ne)+" x "+format$2(Ie,ne)+"] density: "+format$2(Dt,ne)+`
`,ec=0;ec<Ie;ec++)for(var ys=this._ptr[ec],tc=this._ptr[ec+1],nc=ys;nc<tc;nc++){var ac=this._index[nc];Lr+=`
    (`+format$2(ac,ne)+", "+format$2(ec,ne)+") ==> "+(this._values?format$2(this._values[nc],ne):"X")}return Lr},s.prototype.toString=function(){return format$2(this.toArray())},s.prototype.toJSON=function(){return{mathjs:"SparseMatrix",values:this._values,index:this._index,ptr:this._ptr,size:this._size,datatype:this._datatype}},s.prototype.diagonal=function(ne){if(ne){if(isBigNumber(ne)&&(ne=ne.toNumber()),!isNumber(ne)||!isInteger$1(ne))throw new TypeError("The parameter k must be an integer number")}else ne=0;var $e=ne>0?ne:0,Ie=ne<0?-ne:0,Dt=this._size[0],Lr=this._size[1],ec=Math.min(Dt-Ie,Lr-$e),ys=[],tc=[],nc=[];nc[0]=0;for(var ac=$e;ac<Lr&&ys.length<ec;ac++)for(var sc=this._ptr[ac],cc=this._ptr[ac+1],uc=sc;uc<cc;uc++){var lc=this._index[uc];if(lc===ac-$e+Ie){ys.push(this._values[uc]),tc[ys.length-1]=lc-Ie;break}}return nc.push(ys.length),new s({values:ys,index:tc,ptr:nc,size:[ec,1]})},s.fromJSON=function(ne){return new s(ne)},s.diagonal=function(ne,$e,Ie,Dt,Lr){if(!isArray$1(ne))throw new TypeError("Array expected, size parameter");if(ne.length!==2)throw new Error("Only two dimensions matrix are supported");if(ne=ne.map(function(t0){if(isBigNumber(t0)&&(t0=t0.toNumber()),!isNumber(t0)||!isInteger$1(t0)||t0<1)throw new Error("Size values must be positive integers");return t0}),Ie){if(isBigNumber(Ie)&&(Ie=Ie.toNumber()),!isNumber(Ie)||!isInteger$1(Ie))throw new TypeError("The parameter k must be an integer number")}else Ie=0;var ec=r,ys=0;isString$1(Lr)&&(ec=t.find(r,[Lr,Lr])||r,ys=t.convert(0,Lr));var tc=Ie>0?Ie:0,nc=Ie<0?-Ie:0,ac=ne[0],sc=ne[1],cc=Math.min(ac-nc,sc-tc),uc;if(isArray$1($e)){if($e.length!==cc)throw new Error("Invalid value array length");uc=function(h0){return $e[h0]}}else if(isMatrix($e)){var lc=$e.size();if(lc.length!==1||lc[0]!==cc)throw new Error("Invalid matrix length");uc=function(h0){return $e.get([h0])}}else uc=function(){return $e};for(var e0=[],dc=[],kc=[],Jc=0;Jc<sc;Jc++){kc.push(e0.length);var n0=Jc-tc;if(n0>=0&&n0<cc){var d0=uc(n0);ec(d0,ys)||(dc.push(n0+nc),e0.push(d0))}}return kc.push(e0.length),new s({values:e0,index:dc,ptr:kc,size:[ac,sc]})},s.prototype.swapRows=function(ne,$e){if(!isNumber(ne)||!isInteger$1(ne)||!isNumber($e)||!isInteger$1($e))throw new Error("Row index must be positive integers");if(this._size.length!==2)throw new Error("Only two dimensional matrix is supported");return validateIndex(ne,this._size[0]),validateIndex($e,this._size[0]),s._swapRows(ne,$e,this._size[1],this._values,this._index,this._ptr),this},s._forEachRow=function(ne,$e,Ie,Dt,Lr){for(var ec=Dt[ne],ys=Dt[ne+1],tc=ec;tc<ys;tc++)Lr(Ie[tc],$e[tc])},s._swapRows=function(ne,$e,Ie,Dt,Lr,ec){for(var ys=0;ys<Ie;ys++){var tc=ec[ys],nc=ec[ys+1],ac=g(ne,tc,nc,Lr),sc=g($e,tc,nc,Lr);if(ac<nc&&sc<nc&&Lr[ac]===ne&&Lr[sc]===$e){if(Dt){var cc=Dt[ac];Dt[ac]=Dt[sc],Dt[sc]=cc}continue}if(ac<nc&&Lr[ac]===ne&&(sc>=nc||Lr[sc]!==$e)){var uc=Dt?Dt[ac]:void 0;Lr.splice(sc,0,$e),Dt&&Dt.splice(sc,0,uc),Lr.splice(sc<=ac?ac+1:ac,1),Dt&&Dt.splice(sc<=ac?ac+1:ac,1);continue}if(sc<nc&&Lr[sc]===$e&&(ac>=nc||Lr[ac]!==ne)){var lc=Dt?Dt[sc]:void 0;Lr.splice(ac,0,ne),Dt&&Dt.splice(ac,0,lc),Lr.splice(ac<=sc?sc+1:sc,1),Dt&&Dt.splice(ac<=sc?sc+1:sc,1)}}},s},{isClass:!0}),name$4D="number",dependencies$4B=["typed"];function getNonDecimalNumberParts(n){var t=n.match(/(0[box])([0-9a-fA-F]*)\.([0-9a-fA-F]*)/);if(t){var r={"0b":2,"0o":8,"0x":16}[t[1]],a=t[2],s=t[3];return{input:n,radix:r,integerPart:a,fractionalPart:s}}else return null}function makeNumberFromNonDecimalParts(n){for(var t=parseInt(n.integerPart,n.radix),r=0,a=0;a<n.fractionalPart.length;a++){var s=parseInt(n.fractionalPart[a],n.radix);r+=s/Math.pow(n.radix,a+1)}var l=t+r;if(isNaN(l))throw new SyntaxError('String "'+n.input+'" is not a valid number');return l}var createNumber=factory(name$4D,dependencies$4B,n=>{var{typed:t}=n,r=t("number",{"":function(){return 0},number:function(s){return s},string:function(s){if(s==="NaN")return NaN;var l=getNonDecimalNumberParts(s);if(l)return makeNumberFromNonDecimalParts(l);var u=0,_=s.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/);_&&(u=Number(_[2]),s=_[1]);var m=Number(s);if(isNaN(m))throw new SyntaxError('String "'+s+'" is not a valid number');if(_){if(m>2**u-1)throw new SyntaxError('String "'.concat(s,'" is out of range'));m>=2**(u-1)&&(m=m-2**u)}return m},BigNumber:function(s){return s.toNumber()},Fraction:function(s){return s.valueOf()},Unit:t.referToSelf(a=>s=>{var l=s.clone();return l.value=a(s.value),l}),null:function(s){return 0},"Unit, string | Unit":function(s,l){return s.toNumber(l)},"Array | Matrix":t.referToSelf(a=>s=>deepMap(s,a))});return r.fromJSON=function(a){return parseFloat(a.value)},r}),name$4C="string",dependencies$4A=["typed"],createString=factory(name$4C,dependencies$4A,n=>{var{typed:t}=n;return t(name$4C,{"":function(){return""},number:format$4,null:function(a){return"null"},boolean:function(a){return a+""},string:function(a){return a},"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r)),any:function(a){return String(a)}})}),name$4B="boolean",dependencies$4z=["typed"],createBoolean=factory(name$4B,dependencies$4z,n=>{var{typed:t}=n;return t(name$4B,{"":function(){return!1},boolean:function(a){return a},number:function(a){return!!a},null:function(a){return!1},BigNumber:function(a){return!a.isZero()},string:function(a){var s=a.toLowerCase();if(s==="true")return!0;if(s==="false")return!1;var l=Number(a);if(a!==""&&!isNaN(l))return!!l;throw new Error('Cannot convert "'+a+'" to a boolean')},"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$4A="bignumber",dependencies$4y=["typed","BigNumber"],createBignumber=factory(name$4A,dependencies$4y,n=>{var{typed:t,BigNumber:r}=n;return t("bignumber",{"":function(){return new r(0)},number:function(s){return new r(s+"")},string:function(s){var l=s.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/);if(l){var u=l[2],_=r(l[1]),m=new r(2).pow(Number(u));if(_.gt(m.sub(1)))throw new SyntaxError('String "'.concat(s,'" is out of range'));var g=new r(2).pow(Number(u)-1);return _.gte(g)?_.sub(m):_}return new r(s)},BigNumber:function(s){return s},Unit:t.referToSelf(a=>s=>{var l=s.clone();return l.value=a(s.value),l}),Fraction:function(s){return new r(s.n).div(s.d).times(s.s)},null:function(s){return new r(0)},"Array | Matrix":t.referToSelf(a=>s=>deepMap(s,a))})}),name$4z="complex",dependencies$4x=["typed","Complex"],createComplex=factory(name$4z,dependencies$4x,n=>{var{typed:t,Complex:r}=n;return t("complex",{"":function(){return r.ZERO},number:function(s){return new r(s,0)},"number, number":function(s,l){return new r(s,l)},"BigNumber, BigNumber":function(s,l){return new r(s.toNumber(),l.toNumber())},Fraction:function(s){return new r(s.valueOf(),0)},Complex:function(s){return s.clone()},string:function(s){return r(s)},null:function(s){return r(0)},Object:function(s){if("re"in s&&"im"in s)return new r(s.re,s.im);if("r"in s&&"phi"in s||"abs"in s&&"arg"in s)return new r(s);throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)")},"Array | Matrix":t.referToSelf(a=>s=>deepMap(s,a))})}),name$4y="fraction",dependencies$4w=["typed","Fraction"],createFraction=factory(name$4y,dependencies$4w,n=>{var{typed:t,Fraction:r}=n;return t("fraction",{number:function(s){if(!isFinite(s)||isNaN(s))throw new Error(s+" cannot be represented as a fraction");return new r(s)},string:function(s){return new r(s)},"number, number":function(s,l){return new r(s,l)},null:function(s){return new r(0)},BigNumber:function(s){return new r(s.toString())},Fraction:function(s){return s},Unit:t.referToSelf(a=>s=>{var l=s.clone();return l.value=a(s.value),l}),Object:function(s){return new r(s)},"Array | Matrix":t.referToSelf(a=>s=>deepMap(s,a))})}),name$4x="matrix",dependencies$4v=["typed","Matrix","DenseMatrix","SparseMatrix"],createMatrix=factory(name$4x,dependencies$4v,n=>{var{typed:t,Matrix:r,DenseMatrix:a,SparseMatrix:s}=n;return t(name$4x,{"":function(){return l([])},string:function(_){return l([],_)},"string, string":function(_,m){return l([],_,m)},Array:function(_){return l(_)},Matrix:function(_){return l(_,_.storage())},"Array | Matrix, string":l,"Array | Matrix, string, string":l});function l(u,_,m){if(_==="dense"||_==="default"||_===void 0)return new a(u,m);if(_==="sparse")return new s(u,m);throw new TypeError("Unknown matrix type "+JSON.stringify(_)+".")}}),name$4w="matrixFromFunction",dependencies$4u=["typed","matrix","isZero"],createMatrixFromFunction=factory(name$4w,dependencies$4u,n=>{var{typed:t,matrix:r,isZero:a}=n;return t(name$4w,{"Array | Matrix, function, string, string":function(u,_,m,g){return s(u,_,m,g)},"Array | Matrix, function, string":function(u,_,m){return s(u,_,m)},"Matrix, function":function(u,_){return s(u,_,"dense")},"Array, function":function(u,_){return s(u,_,"dense").toArray()},"Array | Matrix, string, function":function(u,_,m){return s(u,m,_)},"Array | Matrix, string, string, function":function(u,_,m,g){return s(u,g,_,m)}});function s(l,u,_,m){var g;return m!==void 0?g=r(_,m):g=r(_),g.resize(l),g.forEach(function(f,x){var w=u(x);a(w)||g.set(x,w)}),g}}),name$4v="matrixFromRows",dependencies$4t=["typed","matrix","flatten","size"],createMatrixFromRows=factory(name$4v,dependencies$4t,n=>{var{typed:t,matrix:r,flatten:a,size:s}=n;return t(name$4v,{"...Array":function(m){return l(m)},"...Matrix":function(m){return r(l(m.map(g=>g.toArray())))}});function l(_){if(_.length===0)throw new TypeError("At least one row is needed to construct a matrix.");var m=u(_[0]),g=[];for(var f of _){var x=u(f);if(x!==m)throw new TypeError("The vectors had different length: "+(m|0)+" ≠ "+(x|0));g.push(a(f))}return g}function u(_){var m=s(_);if(m.length===1)return m[0];if(m.length===2){if(m[0]===1)return m[1];if(m[1]===1)return m[0];throw new TypeError("At least one of the arguments is not a vector.")}else throw new TypeError("Only one- or two-dimensional vectors are supported.")}}),name$4u="matrixFromColumns",dependencies$4s=["typed","matrix","flatten","size"],createMatrixFromColumns=factory(name$4u,dependencies$4s,n=>{var{typed:t,matrix:r,flatten:a,size:s}=n;return t(name$4u,{"...Array":function(m){return l(m)},"...Matrix":function(m){return r(l(m.map(g=>g.toArray())))}});function l(_){if(_.length===0)throw new TypeError("At least one column is needed to construct a matrix.");for(var m=u(_[0]),g=[],f=0;f<m;f++)g[f]=[];for(var x of _){var w=u(x);if(w!==m)throw new TypeError("The vectors had different length: "+(m|0)+" ≠ "+(w|0));for(var Z=a(x),Ce=0;Ce<m;Ce++)g[Ce].push(Z[Ce])}return g}function u(_){var m=s(_);if(m.length===1)return m[0];if(m.length===2){if(m[0]===1)return m[1];if(m[1]===1)return m[0];throw new TypeError("At least one of the arguments is not a vector.")}else throw new TypeError("Only one- or two-dimensional vectors are supported.")}}),name$4t="splitUnit",dependencies$4r=["typed"],createSplitUnit=factory(name$4t,dependencies$4r,n=>{var{typed:t}=n;return t(name$4t,{"Unit, Array":function(a,s){return a.splitUnit(s)}})}),name$4s="unaryMinus",dependencies$4q=["typed"],createUnaryMinus=factory(name$4s,dependencies$4q,n=>{var{typed:t}=n;return t(name$4s,{number:unaryMinusNumber,"Complex | BigNumber | Fraction":r=>r.neg(),Unit:t.referToSelf(r=>a=>{var s=a.clone();return s.value=t.find(r,s.valueType())(a.value),s}),"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$4r="unaryPlus",dependencies$4p=["typed","config","BigNumber"],createUnaryPlus=factory(name$4r,dependencies$4p,n=>{var{typed:t,config:r,BigNumber:a}=n;return t(name$4r,{number:unaryPlusNumber,Complex:function(l){return l},BigNumber:function(l){return l},Fraction:function(l){return l},Unit:function(l){return l.clone()},"Array | Matrix":t.referToSelf(s=>l=>deepMap(l,s)),"boolean | string":function(l){return r.number==="BigNumber"?new a(+l):+l}})}),name$4q="abs",dependencies$4o=["typed"],createAbs=factory(name$4q,dependencies$4o,n=>{var{typed:t}=n;return t(name$4q,{number:absNumber,"Complex | BigNumber | Fraction | Unit":r=>r.abs(),"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$4p="apply",dependencies$4n=["typed","isInteger"],createApply=factory(name$4p,dependencies$4n,n=>{var{typed:t,isInteger:r}=n;return t(name$4p,{"Array | Matrix, number | BigNumber, function":function(s,l,u){if(!r(l))throw new TypeError("Integer number expected for dimension");var _=Array.isArray(s)?arraySize(s):s.size();if(l<0||l>=_.length)throw new IndexError(l,_.length);return isMatrix(s)?s.create(_apply(s.valueOf(),l,u)):_apply(s,l,u)}})});function _apply(n,t,r){var a,s,l;if(t<=0)if(Array.isArray(n[0])){for(l=_switch(n),s=[],a=0;a<l.length;a++)s[a]=_apply(l[a],t-1,r);return s}else return r(n);else{for(s=[],a=0;a<n.length;a++)s[a]=_apply(n[a],t-1,r);return s}}function _switch(n){var t=n.length,r=n[0].length,a,s,l=[];for(s=0;s<r;s++){var u=[];for(a=0;a<t;a++)u.push(n[a][s]);l.push(u)}return l}var name$4o="addScalar",dependencies$4m=["typed"],createAddScalar=factory(name$4o,dependencies$4m,n=>{var{typed:t}=n;return t(name$4o,{"number, number":addNumber,"Complex, Complex":function(a,s){return a.add(s)},"BigNumber, BigNumber":function(a,s){return a.plus(s)},"Fraction, Fraction":function(a,s){return a.add(s)},"Unit, Unit":t.referToSelf(r=>(a,s)=>{if(a.value===null||a.value===void 0)throw new Error("Parameter x contains a unit with undefined value");if(s.value===null||s.value===void 0)throw new Error("Parameter y contains a unit with undefined value");if(!a.equalBase(s))throw new Error("Units do not match");var l=a.clone();return l.value=t.find(r,[l.valueType(),s.valueType()])(l.value,s.value),l.fixPrefix=!1,l})})}),name$4n="subtractScalar",dependencies$4l=["typed"],createSubtractScalar=factory(name$4n,dependencies$4l,n=>{var{typed:t}=n;return t(name$4n,{"number, number":subtractNumber,"Complex, Complex":function(a,s){return a.sub(s)},"BigNumber, BigNumber":function(a,s){return a.minus(s)},"Fraction, Fraction":function(a,s){return a.sub(s)},"Unit, Unit":t.referToSelf(r=>(a,s)=>{if(a.value===null||a.value===void 0)throw new Error("Parameter x contains a unit with undefined value");if(s.value===null||s.value===void 0)throw new Error("Parameter y contains a unit with undefined value");if(!a.equalBase(s))throw new Error("Units do not match");var l=a.clone();return l.value=t.find(r,[l.valueType(),s.valueType()])(l.value,s.value),l.fixPrefix=!1,l})})}),name$4m="cbrt",dependencies$4k=["config","typed","isNegative","unaryMinus","matrix","Complex","BigNumber","Fraction"],createCbrt=factory(name$4m,dependencies$4k,n=>{var{config:t,typed:r,isNegative:a,unaryMinus:s,matrix:l,Complex:u,BigNumber:_,Fraction:m}=n;return r(name$4m,{number:cbrtNumber,Complex:g,"Complex, boolean":g,BigNumber:function(w){return w.cbrt()},Unit:f});function g(x,w){var Z=x.arg()/3,Ce=x.abs(),ne=new u(cbrtNumber(Ce),0).mul(new u(0,Z).exp());if(w){var $e=[ne,new u(cbrtNumber(Ce),0).mul(new u(0,Z+Math.PI*2/3).exp()),new u(cbrtNumber(Ce),0).mul(new u(0,Z-Math.PI*2/3).exp())];return t.matrix==="Array"?$e:l($e)}else return ne}function f(x){if(x.value&&isComplex(x.value)){var w=x.clone();return w.value=1,w=w.pow(1/3),w.value=g(x.value),w}else{var Z=a(x.value);Z&&(x.value=s(x.value));var Ce;isBigNumber(x.value)?Ce=new _(1).div(3):isFraction(x.value)?Ce=new m(1,3):Ce=1/3;var ne=x.pow(Ce);return Z&&(ne.value=s(ne.value)),ne}}}),name$4l="matAlgo11xS0s",dependencies$4j=["typed","equalScalar"],createMatAlgo11xS0s=factory(name$4l,dependencies$4j,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u,_){var m=s._values,g=s._index,f=s._ptr,x=s._size,w=s._datatype;if(!m)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var Z=x[0],Ce=x[1],ne,$e=r,Ie=0,Dt=u;typeof w=="string"&&(ne=w,$e=t.find(r,[ne,ne]),Ie=t.convert(0,ne),l=t.convert(l,ne),Dt=t.find(u,[ne,ne]));for(var Lr=[],ec=[],ys=[],tc=0;tc<Ce;tc++){ys[tc]=ec.length;for(var nc=f[tc],ac=f[tc+1],sc=nc;sc<ac;sc++){var cc=g[sc],uc=_?Dt(l,m[sc]):Dt(m[sc],l);$e(uc,Ie)||(ec.push(cc),Lr.push(uc))}}return ys[Ce]=ec.length,s.createSparseMatrix({values:Lr,index:ec,ptr:ys,size:[Z,Ce],datatype:ne})}}),name$4k="matAlgo12xSfs",dependencies$4i=["typed","DenseMatrix"],createMatAlgo12xSfs=factory(name$4k,dependencies$4i,n=>{var{typed:t,DenseMatrix:r}=n;return function(s,l,u,_){var m=s._values,g=s._index,f=s._ptr,x=s._size,w=s._datatype;if(!m)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var Z=x[0],Ce=x[1],ne,$e=u;typeof w=="string"&&(ne=w,l=t.convert(l,ne),$e=t.find(u,[ne,ne]));for(var Ie=[],Dt=[],Lr=[],ec=0;ec<Ce;ec++){for(var ys=ec+1,tc=f[ec],nc=f[ec+1],ac=tc;ac<nc;ac++){var sc=g[ac];Dt[sc]=m[ac],Lr[sc]=ys}for(var cc=0;cc<Z;cc++)ec===0&&(Ie[cc]=[]),Lr[cc]===ys?Ie[cc][ec]=_?$e(l,Dt[cc]):$e(Dt[cc],l):Ie[cc][ec]=_?$e(l,0):$e(0,l)}return new r({data:Ie,size:[Z,Ce],datatype:ne})}}),name$4j="matAlgo14xDs",dependencies$4h=["typed"],createMatAlgo14xDs=factory(name$4j,dependencies$4h,n=>{var{typed:t}=n;return function(s,l,u,_){var m=s._data,g=s._size,f=s._datatype,x,w=u;typeof f=="string"&&(x=f,l=t.convert(l,x),w=t.find(u,[x,x]));var Z=g.length>0?r(w,0,g,g[0],m,l,_):[];return s.createDenseMatrix({data:Z,size:clone$4(g),datatype:x})};function r(a,s,l,u,_,m,g){var f=[];if(s===l.length-1)for(var x=0;x<u;x++)f[x]=g?a(m,_[x]):a(_[x],m);else for(var w=0;w<u;w++)f[w]=r(a,s+1,l,l[s+1],_[w],m,g);return f}}),name$4i="ceil",dependencies$4g=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix"],createCeilNumber=factory(name$4i,["typed","config","round"],n=>{var{typed:t,config:r,round:a}=n;return t(name$4i,{number:function(l){return nearlyEqual$1(l,a(l),r.epsilon)?a(l):Math.ceil(l)},"number, number":function(l,u){if(nearlyEqual$1(l,a(l,u),r.epsilon))return a(l,u);var[_,m]="".concat(l,"e").split("e"),g=Math.ceil(Number("".concat(_,"e").concat(Number(m)+u)));return[_,m]="".concat(g,"e").split("e"),Number("".concat(_,"e").concat(Number(m)-u))}})}),createCeil=factory(name$4i,dependencies$4g,n=>{var{typed:t,config:r,round:a,matrix:s,equalScalar:l,zeros:u,DenseMatrix:_}=n,m=createMatAlgo11xS0s({typed:t,equalScalar:l}),g=createMatAlgo12xSfs({typed:t,DenseMatrix:_}),f=createMatAlgo14xDs({typed:t}),x=createCeilNumber({typed:t,config:r,round:a});return t("ceil",{number:x.signatures.number,"number,number":x.signatures["number,number"],Complex:function(Z){return Z.ceil()},"Complex, number":function(Z,Ce){return Z.ceil(Ce)},"Complex, BigNumber":function(Z,Ce){return Z.ceil(Ce.toNumber())},BigNumber:function(Z){return nearlyEqual(Z,a(Z),r.epsilon)?a(Z):Z.ceil()},"BigNumber, BigNumber":function(Z,Ce){return nearlyEqual(Z,a(Z,Ce),r.epsilon)?a(Z,Ce):Z.toDecimalPlaces(Ce.toNumber(),Decimal.ROUND_CEIL)},Fraction:function(Z){return Z.ceil()},"Fraction, number":function(Z,Ce){return Z.ceil(Ce)},"Fraction, BigNumber":function(Z,Ce){return Z.ceil(Ce.toNumber())},"Array | Matrix":t.referToSelf(w=>Z=>deepMap(Z,w)),"Array, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>deepMap(Z,ne=>w(ne,Ce))),"SparseMatrix, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>m(Z,Ce,w,!1)),"DenseMatrix, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>f(Z,Ce,w,!1)),"number | Complex | Fraction | BigNumber, Array":t.referToSelf(w=>(Z,Ce)=>f(s(Ce),Z,w,!0).valueOf()),"number | Complex | Fraction | BigNumber, Matrix":t.referToSelf(w=>(Z,Ce)=>l(Z,0)?u(Ce.size(),Ce.storage()):Ce.storage()==="dense"?f(Ce,Z,w,!0):g(Ce,Z,w,!0))})}),name$4h="cube",dependencies$4f=["typed"],createCube=factory(name$4h,dependencies$4f,n=>{var{typed:t}=n;return t(name$4h,{number:cubeNumber,Complex:function(a){return a.mul(a).mul(a)},BigNumber:function(a){return a.times(a).times(a)},Fraction:function(a){return a.pow(3)},Unit:function(a){return a.pow(3)}})}),name$4g="exp",dependencies$4e=["typed"],createExp=factory(name$4g,dependencies$4e,n=>{var{typed:t}=n;return t(name$4g,{number:expNumber,Complex:function(a){return a.exp()},BigNumber:function(a){return a.exp()}})}),name$4f="expm1",dependencies$4d=["typed","Complex"],createExpm1=factory(name$4f,dependencies$4d,n=>{var{typed:t,Complex:r}=n;return t(name$4f,{number:expm1Number,Complex:function(s){var l=Math.exp(s.re);return new r(l*Math.cos(s.im)-1,l*Math.sin(s.im))},BigNumber:function(s){return s.exp().minus(1)}})}),name$4e="fix",dependencies$4c=["typed","Complex","matrix","ceil","floor","equalScalar","zeros","DenseMatrix"],createFixNumber=factory(name$4e,["typed","ceil","floor"],n=>{var{typed:t,ceil:r,floor:a}=n;return t(name$4e,{number:function(l){return l>0?a(l):r(l)},"number, number":function(l,u){return l>0?a(l,u):r(l,u)}})}),createFix=factory(name$4e,dependencies$4c,n=>{var{typed:t,Complex:r,matrix:a,ceil:s,floor:l,equalScalar:u,zeros:_,DenseMatrix:m}=n,g=createMatAlgo12xSfs({typed:t,DenseMatrix:m}),f=createMatAlgo14xDs({typed:t}),x=createFixNumber({typed:t,ceil:s,floor:l});return t("fix",{number:x.signatures.number,"number, number | BigNumber":x.signatures["number,number"],Complex:function(Z){return new r(Z.re>0?Math.floor(Z.re):Math.ceil(Z.re),Z.im>0?Math.floor(Z.im):Math.ceil(Z.im))},"Complex, number":function(Z,Ce){return new r(Z.re>0?l(Z.re,Ce):s(Z.re,Ce),Z.im>0?l(Z.im,Ce):s(Z.im,Ce))},"Complex, BigNumber":function(Z,Ce){var ne=Ce.toNumber();return new r(Z.re>0?l(Z.re,ne):s(Z.re,ne),Z.im>0?l(Z.im,ne):s(Z.im,ne))},BigNumber:function(Z){return Z.isNegative()?s(Z):l(Z)},"BigNumber, number | BigNumber":function(Z,Ce){return Z.isNegative()?s(Z,Ce):l(Z,Ce)},Fraction:function(Z){return Z.s<0?Z.ceil():Z.floor()},"Fraction, number | BigNumber":function(Z,Ce){return Z.s<0?s(Z,Ce):l(Z,Ce)},"Array | Matrix":t.referToSelf(w=>Z=>deepMap(Z,w)),"Array | Matrix, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>deepMap(Z,ne=>w(ne,Ce))),"number | Complex | Fraction | BigNumber, Array":t.referToSelf(w=>(Z,Ce)=>f(a(Ce),Z,w,!0).valueOf()),"number | Complex | Fraction | BigNumber, Matrix":t.referToSelf(w=>(Z,Ce)=>u(Z,0)?_(Ce.size(),Ce.storage()):Ce.storage()==="dense"?f(Ce,Z,w,!0):g(Ce,Z,w,!0))})}),name$4d="floor",dependencies$4b=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix"],createFloorNumber=factory(name$4d,["typed","config","round"],n=>{var{typed:t,config:r,round:a}=n;return t(name$4d,{number:function(l){return nearlyEqual$1(l,a(l),r.epsilon)?a(l):Math.floor(l)},"number, number":function(l,u){if(nearlyEqual$1(l,a(l,u),r.epsilon))return a(l,u);var[_,m]="".concat(l,"e").split("e"),g=Math.floor(Number("".concat(_,"e").concat(Number(m)+u)));return[_,m]="".concat(g,"e").split("e"),Number("".concat(_,"e").concat(Number(m)-u))}})}),createFloor=factory(name$4d,dependencies$4b,n=>{var{typed:t,config:r,round:a,matrix:s,equalScalar:l,zeros:u,DenseMatrix:_}=n,m=createMatAlgo11xS0s({typed:t,equalScalar:l}),g=createMatAlgo12xSfs({typed:t,DenseMatrix:_}),f=createMatAlgo14xDs({typed:t}),x=createFloorNumber({typed:t,config:r,round:a});return t("floor",{number:x.signatures.number,"number,number":x.signatures["number,number"],Complex:function(Z){return Z.floor()},"Complex, number":function(Z,Ce){return Z.floor(Ce)},"Complex, BigNumber":function(Z,Ce){return Z.floor(Ce.toNumber())},BigNumber:function(Z){return nearlyEqual(Z,a(Z),r.epsilon)?a(Z):Z.floor()},"BigNumber, BigNumber":function(Z,Ce){return nearlyEqual(Z,a(Z,Ce),r.epsilon)?a(Z,Ce):Z.toDecimalPlaces(Ce.toNumber(),Decimal.ROUND_FLOOR)},Fraction:function(Z){return Z.floor()},"Fraction, number":function(Z,Ce){return Z.floor(Ce)},"Fraction, BigNumber":function(Z,Ce){return Z.floor(Ce.toNumber())},"Array | Matrix":t.referToSelf(w=>Z=>deepMap(Z,w)),"Array, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>deepMap(Z,ne=>w(ne,Ce))),"SparseMatrix, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>m(Z,Ce,w,!1)),"DenseMatrix, number | BigNumber":t.referToSelf(w=>(Z,Ce)=>f(Z,Ce,w,!1)),"number | Complex | Fraction | BigNumber, Array":t.referToSelf(w=>(Z,Ce)=>f(s(Ce),Z,w,!0).valueOf()),"number | Complex | Fraction | BigNumber, Matrix":t.referToSelf(w=>(Z,Ce)=>l(Z,0)?u(Ce.size(),Ce.storage()):Ce.storage()==="dense"?f(Ce,Z,w,!0):g(Ce,Z,w,!0))})}),name$4c="matAlgo02xDS0",dependencies$4a=["typed","equalScalar"],createMatAlgo02xDS0=factory(name$4c,dependencies$4a,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u,_){var m=s._data,g=s._size,f=s._datatype,x=l._values,w=l._index,Z=l._ptr,Ce=l._size,ne=l._datatype;if(g.length!==Ce.length)throw new DimensionError(g.length,Ce.length);if(g[0]!==Ce[0]||g[1]!==Ce[1])throw new RangeError("Dimension mismatch. Matrix A ("+g+") must match Matrix B ("+Ce+")");if(!x)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var $e=g[0],Ie=g[1],Dt,Lr=r,ec=0,ys=u;typeof f=="string"&&f===ne&&(Dt=f,Lr=t.find(r,[Dt,Dt]),ec=t.convert(0,Dt),ys=t.find(u,[Dt,Dt]));for(var tc=[],nc=[],ac=[],sc=0;sc<Ie;sc++){ac[sc]=nc.length;for(var cc=Z[sc],uc=Z[sc+1],lc=cc;lc<uc;lc++){var e0=w[lc],dc=_?ys(x[lc],m[e0][sc]):ys(m[e0][sc],x[lc]);Lr(dc,ec)||(nc.push(e0),tc.push(dc))}}return ac[Ie]=nc.length,l.createSparseMatrix({values:tc,index:nc,ptr:ac,size:[$e,Ie],datatype:Dt})}}),name$4b="matAlgo03xDSf",dependencies$49=["typed"],createMatAlgo03xDSf=factory(name$4b,dependencies$49,n=>{var{typed:t}=n;return function(a,s,l,u){var _=a._data,m=a._size,g=a._datatype,f=s._values,x=s._index,w=s._ptr,Z=s._size,Ce=s._datatype;if(m.length!==Z.length)throw new DimensionError(m.length,Z.length);if(m[0]!==Z[0]||m[1]!==Z[1])throw new RangeError("Dimension mismatch. Matrix A ("+m+") must match Matrix B ("+Z+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var ne=m[0],$e=m[1],Ie,Dt=0,Lr=l;typeof g=="string"&&g===Ce&&(Ie=g,Dt=t.convert(0,Ie),Lr=t.find(l,[Ie,Ie]));for(var ec=[],ys=0;ys<ne;ys++)ec[ys]=[];for(var tc=[],nc=[],ac=0;ac<$e;ac++){for(var sc=ac+1,cc=w[ac],uc=w[ac+1],lc=cc;lc<uc;lc++){var e0=x[lc];tc[e0]=u?Lr(f[lc],_[e0][ac]):Lr(_[e0][ac],f[lc]),nc[e0]=sc}for(var dc=0;dc<ne;dc++)nc[dc]===sc?ec[dc][ac]=tc[dc]:ec[dc][ac]=u?Lr(Dt,_[dc][ac]):Lr(_[dc][ac],Dt)}return a.createDenseMatrix({data:ec,size:[ne,$e],datatype:Ie})}}),name$4a="matAlgo05xSfSf",dependencies$48=["typed","equalScalar"],createMatAlgo05xSfSf=factory(name$4a,dependencies$48,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u){var _=s._values,m=s._index,g=s._ptr,f=s._size,x=s._datatype,w=l._values,Z=l._index,Ce=l._ptr,ne=l._size,$e=l._datatype;if(f.length!==ne.length)throw new DimensionError(f.length,ne.length);if(f[0]!==ne[0]||f[1]!==ne[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+ne+")");var Ie=f[0],Dt=f[1],Lr,ec=r,ys=0,tc=u;typeof x=="string"&&x===$e&&(Lr=x,ec=t.find(r,[Lr,Lr]),ys=t.convert(0,Lr),tc=t.find(u,[Lr,Lr]));var nc=_&&w?[]:void 0,ac=[],sc=[],cc=nc?[]:void 0,uc=nc?[]:void 0,lc=[],e0=[],dc,kc,Jc,n0;for(kc=0;kc<Dt;kc++){sc[kc]=ac.length;var d0=kc+1;for(Jc=g[kc],n0=g[kc+1];Jc<n0;Jc++)dc=m[Jc],ac.push(dc),lc[dc]=d0,cc&&(cc[dc]=_[Jc]);for(Jc=Ce[kc],n0=Ce[kc+1];Jc<n0;Jc++)dc=Z[Jc],lc[dc]!==d0&&ac.push(dc),e0[dc]=d0,uc&&(uc[dc]=w[Jc]);if(nc)for(Jc=sc[kc];Jc<ac.length;){dc=ac[Jc];var t0=lc[dc],h0=e0[dc];if(t0===d0||h0===d0){var _0=t0===d0?cc[dc]:ys,c0=h0===d0?uc[dc]:ys,f0=tc(_0,c0);ec(f0,ys)?ac.splice(Jc,1):(nc.push(f0),Jc++)}}}return sc[Dt]=ac.length,s.createSparseMatrix({values:nc,index:ac,ptr:sc,size:[Ie,Dt],datatype:Lr})}}),name$49="matAlgo13xDD",dependencies$47=["typed"],createMatAlgo13xDD=factory(name$49,dependencies$47,n=>{var{typed:t}=n;return function(s,l,u){var _=s._data,m=s._size,g=s._datatype,f=l._data,x=l._size,w=l._datatype,Z=[];if(m.length!==x.length)throw new DimensionError(m.length,x.length);for(var Ce=0;Ce<m.length;Ce++){if(m[Ce]!==x[Ce])throw new RangeError("Dimension mismatch. Matrix A ("+m+") must match Matrix B ("+x+")");Z[Ce]=m[Ce]}var ne,$e=u;typeof g=="string"&&g===w&&(ne=g,$e=t.find(u,[ne,ne]));var Ie=Z.length>0?r($e,0,Z,Z[0],_,f):[];return s.createDenseMatrix({data:Ie,size:Z,datatype:ne})};function r(a,s,l,u,_,m){var g=[];if(s===l.length-1)for(var f=0;f<u;f++)g[f]=a(_[f],m[f]);else for(var x=0;x<u;x++)g[x]=r(a,s+1,l,l[s+1],_[x],m[x]);return g}}),name$48="broadcast",dependancies=["concat"],createBroadcast=factory(name$48,dependancies,n=>{var{concat:t}=n;return function(s,l){var u=Math.max(s._size.length,l._size.length);if(s._size.length===l._size.length&&s._size.every((Ce,ne)=>Ce===l._size[ne]))return[s,l];for(var _=r(s._size,u,0),m=r(l._size,u,0),g=[],f=0;f<u;f++)g[f]=Math.max(_[f],m[f]);checkBroadcastingRules(_,g),checkBroadcastingRules(m,g);var x=s.clone(),w=l.clone();x._size.length<u?x.reshape(r(x._size,u,1)):w._size.length<u&&w.reshape(r(w._size,u,1));for(var Z=0;Z<u;Z++)x._size[Z]<g[Z]&&(x=a(x,g[Z],Z)),w._size[Z]<g[Z]&&(w=a(w,g[Z],Z));return[x,w]};function r(s,l,u){return[...Array(l-s.length).fill(u),...s]}function a(s,l,u){return t(...Array(l).fill(s),u)}}),name$47="matrixAlgorithmSuite",dependencies$46=["typed","matrix","concat"],createMatrixAlgorithmSuite=factory(name$47,dependencies$46,n=>{var{typed:t,matrix:r,concat:a}=n,s=createMatAlgo13xDD({typed:t}),l=createMatAlgo14xDs({typed:t}),u=createBroadcast({concat:a});return function(m){var g=m.elop,f=m.SD||m.DS,x;g?(x={"DenseMatrix, DenseMatrix":(ne,$e)=>s(...u(ne,$e),g),"Array, Array":(ne,$e)=>s(...u(r(ne),r($e)),g).valueOf(),"Array, DenseMatrix":(ne,$e)=>s(...u(r(ne),$e),g),"DenseMatrix, Array":(ne,$e)=>s(...u(ne,r($e)),g)},m.SS&&(x["SparseMatrix, SparseMatrix"]=(ne,$e)=>m.SS(...u(ne,$e),g,!1)),m.DS&&(x["DenseMatrix, SparseMatrix"]=(ne,$e)=>m.DS(...u(ne,$e),g,!1),x["Array, SparseMatrix"]=(ne,$e)=>m.DS(...u(r(ne),$e),g,!1)),f&&(x["SparseMatrix, DenseMatrix"]=(ne,$e)=>f(...u($e,ne),g,!0),x["SparseMatrix, Array"]=(ne,$e)=>f(...u(r($e),ne),g,!0))):(x={"DenseMatrix, DenseMatrix":t.referToSelf(ne=>($e,Ie)=>s(...u($e,Ie),ne)),"Array, Array":t.referToSelf(ne=>($e,Ie)=>s(...u(r($e),r(Ie)),ne).valueOf()),"Array, DenseMatrix":t.referToSelf(ne=>($e,Ie)=>s(...u(r($e),Ie),ne)),"DenseMatrix, Array":t.referToSelf(ne=>($e,Ie)=>s(...u($e,r(Ie)),ne))},m.SS&&(x["SparseMatrix, SparseMatrix"]=t.referToSelf(ne=>($e,Ie)=>m.SS(...u($e,Ie),ne,!1))),m.DS&&(x["DenseMatrix, SparseMatrix"]=t.referToSelf(ne=>($e,Ie)=>m.DS(...u($e,Ie),ne,!1)),x["Array, SparseMatrix"]=t.referToSelf(ne=>($e,Ie)=>m.DS(...u(r($e),Ie),ne,!1))),f&&(x["SparseMatrix, DenseMatrix"]=t.referToSelf(ne=>($e,Ie)=>f(...u(Ie,$e),ne,!0)),x["SparseMatrix, Array"]=t.referToSelf(ne=>($e,Ie)=>f(...u(r(Ie),$e),ne,!0))));var w=m.scalar||"any",Z=m.Ds||m.Ss;Z&&(g?(x["DenseMatrix,"+w]=(ne,$e)=>l(ne,$e,g,!1),x[w+", DenseMatrix"]=(ne,$e)=>l($e,ne,g,!0),x["Array,"+w]=(ne,$e)=>l(r(ne),$e,g,!1).valueOf(),x[w+", Array"]=(ne,$e)=>l(r($e),ne,g,!0).valueOf()):(x["DenseMatrix,"+w]=t.referToSelf(ne=>($e,Ie)=>l($e,Ie,ne,!1)),x[w+", DenseMatrix"]=t.referToSelf(ne=>($e,Ie)=>l(Ie,$e,ne,!0)),x["Array,"+w]=t.referToSelf(ne=>($e,Ie)=>l(r($e),Ie,ne,!1).valueOf()),x[w+", Array"]=t.referToSelf(ne=>($e,Ie)=>l(r(Ie),$e,ne,!0).valueOf())));var Ce=m.sS!==void 0?m.sS:m.Ss;return g?(m.Ss&&(x["SparseMatrix,"+w]=(ne,$e)=>m.Ss(ne,$e,g,!1)),Ce&&(x[w+", SparseMatrix"]=(ne,$e)=>Ce($e,ne,g,!0))):(m.Ss&&(x["SparseMatrix,"+w]=t.referToSelf(ne=>($e,Ie)=>m.Ss($e,Ie,ne,!1))),Ce&&(x[w+", SparseMatrix"]=t.referToSelf(ne=>($e,Ie)=>Ce(Ie,$e,ne,!0)))),g&&g.signatures&&extend$1(x,g.signatures),x}}),name$46="mod",dependencies$45=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix","concat"],createMod=factory(name$46,dependencies$45,n=>{var{typed:t,config:r,round:a,matrix:s,equalScalar:l,zeros:u,DenseMatrix:_,concat:m}=n,g=createFloor({typed:t,config:r,round:a,matrix:s,equalScalar:l,zeros:u,DenseMatrix:_}),f=createMatAlgo02xDS0({typed:t,equalScalar:l}),x=createMatAlgo03xDSf({typed:t}),w=createMatAlgo05xSfSf({typed:t,equalScalar:l}),Z=createMatAlgo11xS0s({typed:t,equalScalar:l}),Ce=createMatAlgo12xSfs({typed:t,DenseMatrix:_}),ne=createMatrixAlgorithmSuite({typed:t,matrix:s,concat:m});return t(name$46,{"number, number":$e,"BigNumber, BigNumber":function(Dt,Lr){return Lr.isZero()?Dt:Dt.sub(Lr.mul(g(Dt.div(Lr))))},"Fraction, Fraction":function(Dt,Lr){return Lr.equals(0)?Dt:Dt.sub(Lr.mul(g(Dt.div(Lr))))}},ne({SS:w,DS:x,SD:f,Ss:Z,sS:Ce}));function $e(Ie,Dt){return Dt===0?Ie:Ie-Dt*g(Ie/Dt)}}),name$45="matAlgo01xDSid",dependencies$44=["typed"],createMatAlgo01xDSid=factory(name$45,dependencies$44,n=>{var{typed:t}=n;return function(a,s,l,u){var _=a._data,m=a._size,g=a._datatype,f=s._values,x=s._index,w=s._ptr,Z=s._size,Ce=s._datatype;if(m.length!==Z.length)throw new DimensionError(m.length,Z.length);if(m[0]!==Z[0]||m[1]!==Z[1])throw new RangeError("Dimension mismatch. Matrix A ("+m+") must match Matrix B ("+Z+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var ne=m[0],$e=m[1],Ie=typeof g=="string"&&g===Ce?g:void 0,Dt=Ie?t.find(l,[Ie,Ie]):l,Lr,ec,ys=[];for(Lr=0;Lr<ne;Lr++)ys[Lr]=[];var tc=[],nc=[];for(ec=0;ec<$e;ec++){for(var ac=ec+1,sc=w[ec],cc=w[ec+1],uc=sc;uc<cc;uc++)Lr=x[uc],tc[Lr]=u?Dt(f[uc],_[Lr][ec]):Dt(_[Lr][ec],f[uc]),nc[Lr]=ac;for(Lr=0;Lr<ne;Lr++)nc[Lr]===ac?ys[Lr][ec]=tc[Lr]:ys[Lr][ec]=_[Lr][ec]}return a.createDenseMatrix({data:ys,size:[ne,$e],datatype:Ie})}}),name$44="matAlgo04xSidSid",dependencies$43=["typed","equalScalar"],createMatAlgo04xSidSid=factory(name$44,dependencies$43,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u){var _=s._values,m=s._index,g=s._ptr,f=s._size,x=s._datatype,w=l._values,Z=l._index,Ce=l._ptr,ne=l._size,$e=l._datatype;if(f.length!==ne.length)throw new DimensionError(f.length,ne.length);if(f[0]!==ne[0]||f[1]!==ne[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+ne+")");var Ie=f[0],Dt=f[1],Lr,ec=r,ys=0,tc=u;typeof x=="string"&&x===$e&&(Lr=x,ec=t.find(r,[Lr,Lr]),ys=t.convert(0,Lr),tc=t.find(u,[Lr,Lr]));var nc=_&&w?[]:void 0,ac=[],sc=[],cc=_&&w?[]:void 0,uc=_&&w?[]:void 0,lc=[],e0=[],dc,kc,Jc,n0,d0;for(kc=0;kc<Dt;kc++){sc[kc]=ac.length;var t0=kc+1;for(n0=g[kc],d0=g[kc+1],Jc=n0;Jc<d0;Jc++)dc=m[Jc],ac.push(dc),lc[dc]=t0,cc&&(cc[dc]=_[Jc]);for(n0=Ce[kc],d0=Ce[kc+1],Jc=n0;Jc<d0;Jc++)if(dc=Z[Jc],lc[dc]===t0){if(cc){var h0=tc(cc[dc],w[Jc]);ec(h0,ys)?lc[dc]=null:cc[dc]=h0}}else ac.push(dc),e0[dc]=t0,uc&&(uc[dc]=w[Jc]);if(cc&&uc)for(Jc=sc[kc];Jc<ac.length;)dc=ac[Jc],lc[dc]===t0?(nc[Jc]=cc[dc],Jc++):e0[dc]===t0?(nc[Jc]=uc[dc],Jc++):ac.splice(Jc,1)}return sc[Dt]=ac.length,s.createSparseMatrix({values:nc,index:ac,ptr:sc,size:[Ie,Dt],datatype:Lr})}}),name$43="matAlgo10xSids",dependencies$42=["typed","DenseMatrix"],createMatAlgo10xSids=factory(name$43,dependencies$42,n=>{var{typed:t,DenseMatrix:r}=n;return function(s,l,u,_){var m=s._values,g=s._index,f=s._ptr,x=s._size,w=s._datatype;if(!m)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var Z=x[0],Ce=x[1],ne,$e=u;typeof w=="string"&&(ne=w,l=t.convert(l,ne),$e=t.find(u,[ne,ne]));for(var Ie=[],Dt=[],Lr=[],ec=0;ec<Ce;ec++){for(var ys=ec+1,tc=f[ec],nc=f[ec+1],ac=tc;ac<nc;ac++){var sc=g[ac];Dt[sc]=m[ac],Lr[sc]=ys}for(var cc=0;cc<Z;cc++)ec===0&&(Ie[cc]=[]),Lr[cc]===ys?Ie[cc][ec]=_?$e(l,Dt[cc]):$e(Dt[cc],l):Ie[cc][ec]=l}return new r({data:Ie,size:[Z,Ce],datatype:ne})}});function ArgumentsError(n,t,r,a){if(!(this instanceof ArgumentsError))throw new SyntaxError("Constructor must be called with the new operator");this.fn=n,this.count=t,this.min=r,this.max=a,this.message="Wrong number of arguments in function "+n+" ("+t+" provided, "+r+(a!=null?"-"+a:"")+" expected)",this.stack=new Error().stack}ArgumentsError.prototype=new Error;ArgumentsError.prototype.constructor=Error;ArgumentsError.prototype.name="ArgumentsError";ArgumentsError.prototype.isArgumentsError=!0;var name$42="gcd",dependencies$41=["typed","config","round","matrix","equalScalar","zeros","BigNumber","DenseMatrix","concat"],gcdTypes="number | BigNumber | Fraction | Matrix | Array",gcdManyTypesSignature="".concat(gcdTypes,", ").concat(gcdTypes,", ...").concat(gcdTypes);function is1d(n){return!n.some(t=>Array.isArray(t))}var createGcd=factory(name$42,dependencies$41,n=>{var{typed:t,matrix:r,config:a,round:s,equalScalar:l,zeros:u,BigNumber:_,DenseMatrix:m,concat:g}=n,f=createMod({typed:t,config:a,round:s,matrix:r,equalScalar:l,zeros:u,DenseMatrix:m,concat:g}),x=createMatAlgo01xDSid({typed:t}),w=createMatAlgo04xSidSid({typed:t,equalScalar:l}),Z=createMatAlgo10xSids({typed:t,DenseMatrix:m}),Ce=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:g});return t(name$42,{"number, number":ne,"BigNumber, BigNumber":$e,"Fraction, Fraction":(Ie,Dt)=>Ie.gcd(Dt)},Ce({SS:w,DS:x,Ss:Z}),{[gcdManyTypesSignature]:t.referToSelf(Ie=>(Dt,Lr,ec)=>{for(var ys=Ie(Dt,Lr),tc=0;tc<ec.length;tc++)ys=Ie(ys,ec[tc]);return ys}),Array:t.referToSelf(Ie=>Dt=>{if(Dt.length===1&&Array.isArray(Dt[0])&&is1d(Dt[0]))return Ie(...Dt[0]);if(is1d(Dt))return Ie(...Dt);throw new ArgumentsError("gcd() supports only 1d matrices!")}),Matrix:t.referToSelf(Ie=>Dt=>Ie(Dt.toArray()))});function ne(Ie,Dt){if(!isInteger$1(Ie)||!isInteger$1(Dt))throw new Error("Parameters in function gcd must be integer numbers");for(var Lr;Dt!==0;)Lr=f(Ie,Dt),Ie=Dt,Dt=Lr;return Ie<0?-Ie:Ie}function $e(Ie,Dt){if(!Ie.isInt()||!Dt.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var Lr=new _(0);!Dt.isZero();){var ec=f(Ie,Dt);Ie=Dt,Dt=ec}return Ie.lt(Lr)?Ie.neg():Ie}}),name$41="matAlgo06xS0S0",dependencies$40=["typed","equalScalar"],createMatAlgo06xS0S0=factory(name$41,dependencies$40,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u){var _=s._values,m=s._size,g=s._datatype,f=l._values,x=l._size,w=l._datatype;if(m.length!==x.length)throw new DimensionError(m.length,x.length);if(m[0]!==x[0]||m[1]!==x[1])throw new RangeError("Dimension mismatch. Matrix A ("+m+") must match Matrix B ("+x+")");var Z=m[0],Ce=m[1],ne,$e=r,Ie=0,Dt=u;typeof g=="string"&&g===w&&(ne=g,$e=t.find(r,[ne,ne]),Ie=t.convert(0,ne),Dt=t.find(u,[ne,ne]));for(var Lr=_&&f?[]:void 0,ec=[],ys=[],tc=Lr?[]:void 0,nc=[],ac=[],sc=0;sc<Ce;sc++){ys[sc]=ec.length;var cc=sc+1;if(scatter(s,sc,nc,tc,ac,cc,ec,Dt),scatter(l,sc,nc,tc,ac,cc,ec,Dt),tc)for(var uc=ys[sc];uc<ec.length;){var lc=ec[uc];if(ac[lc]===cc){var e0=tc[lc];$e(e0,Ie)?ec.splice(uc,1):(Lr.push(e0),uc++)}else ec.splice(uc,1)}else for(var dc=ys[sc];dc<ec.length;){var kc=ec[dc];ac[kc]!==cc?ec.splice(dc,1):dc++}}return ys[Ce]=ec.length,s.createSparseMatrix({values:Lr,index:ec,ptr:ys,size:[Z,Ce],datatype:ne})}}),name$40="lcm",dependencies$3$=["typed","matrix","equalScalar","concat"],createLcm=factory(name$40,dependencies$3$,n=>{var{typed:t,matrix:r,equalScalar:a,concat:s}=n,l=createMatAlgo02xDS0({typed:t,equalScalar:a}),u=createMatAlgo06xS0S0({typed:t,equalScalar:a}),_=createMatAlgo11xS0s({typed:t,equalScalar:a}),m=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:s}),g="number | BigNumber | Fraction | Matrix | Array",f={};return f["".concat(g,", ").concat(g,", ...").concat(g)]=t.referToSelf(w=>(Z,Ce,ne)=>{for(var $e=w(Z,Ce),Ie=0;Ie<ne.length;Ie++)$e=w($e,ne[Ie]);return $e}),t(name$40,{"number, number":lcmNumber,"BigNumber, BigNumber":x,"Fraction, Fraction":(w,Z)=>w.lcm(Z)},m({SS:u,DS:l,Ss:_}),f);function x(w,Z){if(!w.isInt()||!Z.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(w.isZero())return w;if(Z.isZero())return Z;for(var Ce=w.times(Z);!Z.isZero();){var ne=Z;Z=w.mod(ne),w=ne}return Ce.div(w).abs()}}),name$3$="log10",dependencies$3_=["typed","config","Complex"],createLog10=factory(name$3$,dependencies$3_,n=>{var{typed:t,config:r,Complex:a}=n;return t(name$3$,{number:function(l){return l>=0||r.predictable?log10Number(l):new a(l,0).log().div(Math.LN10)},Complex:function(l){return new a(l).log().div(Math.LN10)},BigNumber:function(l){return!l.isNegative()||r.predictable?l.log():new a(l.toNumber(),0).log().div(Math.LN10)},"Array | Matrix":t.referToSelf(s=>l=>deepMap(l,s))})}),name$3_="log2",dependencies$3Z=["typed","config","Complex"],createLog2=factory(name$3_,dependencies$3Z,n=>{var{typed:t,config:r,Complex:a}=n;return t(name$3_,{number:function(u){return u>=0||r.predictable?log2Number(u):s(new a(u,0))},Complex:s,BigNumber:function(u){return!u.isNegative()||r.predictable?u.log(2):s(new a(u.toNumber(),0))},"Array | Matrix":t.referToSelf(l=>u=>deepMap(u,l))});function s(l){var u=Math.sqrt(l.re*l.re+l.im*l.im);return new a(Math.log2?Math.log2(u):Math.log(u)/Math.LN2,Math.atan2(l.im,l.re)/Math.LN2)}}),name$3Z="multiplyScalar",dependencies$3Y=["typed"],createMultiplyScalar=factory(name$3Z,dependencies$3Y,n=>{var{typed:t}=n;return t("multiplyScalar",{"number, number":multiplyNumber,"Complex, Complex":function(a,s){return a.mul(s)},"BigNumber, BigNumber":function(a,s){return a.times(s)},"Fraction, Fraction":function(a,s){return a.mul(s)},"number | Fraction | BigNumber | Complex, Unit":(r,a)=>a.multiply(r),"Unit, number | Fraction | BigNumber | Complex | Unit":(r,a)=>r.multiply(a)})}),name$3Y="multiply",dependencies$3X=["typed","matrix","addScalar","multiplyScalar","equalScalar","dot"],createMultiply=factory(name$3Y,dependencies$3X,n=>{var{typed:t,matrix:r,addScalar:a,multiplyScalar:s,equalScalar:l,dot:u}=n,_=createMatAlgo11xS0s({typed:t,equalScalar:l}),m=createMatAlgo14xDs({typed:t});function g(ys,tc){switch(ys.length){case 1:switch(tc.length){case 1:if(ys[0]!==tc[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(ys[0]!==tc[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+ys[0]+") must match Matrix rows ("+tc[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+tc.length+" dimensions)")}break;case 2:switch(tc.length){case 1:if(ys[1]!==tc[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+ys[1]+") must match Vector length ("+tc[0]+")");break;case 2:if(ys[1]!==tc[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+ys[1]+") must match Matrix B rows ("+tc[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+tc.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+ys.length+" dimensions)")}}function f(ys,tc,nc){if(nc===0)throw new Error("Cannot multiply two empty vectors");return u(ys,tc)}function x(ys,tc){if(tc.storage()!=="dense")throw new Error("Support for SparseMatrix not implemented");return w(ys,tc)}function w(ys,tc){var nc=ys._data,ac=ys._size,sc=ys._datatype,cc=tc._data,uc=tc._size,lc=tc._datatype,e0=ac[0],dc=uc[1],kc,Jc=a,n0=s;sc&&lc&&sc===lc&&typeof sc=="string"&&(kc=sc,Jc=t.find(a,[kc,kc]),n0=t.find(s,[kc,kc]));for(var d0=[],t0=0;t0<dc;t0++){for(var h0=n0(nc[0],cc[0][t0]),_0=1;_0<e0;_0++)h0=Jc(h0,n0(nc[_0],cc[_0][t0]));d0[t0]=h0}return ys.createDenseMatrix({data:d0,size:[dc],datatype:kc})}var Z=t("_multiplyMatrixVector",{"DenseMatrix, any":ne,"SparseMatrix, any":Dt}),Ce=t("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":$e,"DenseMatrix, SparseMatrix":Ie,"SparseMatrix, DenseMatrix":Lr,"SparseMatrix, SparseMatrix":ec});function ne(ys,tc){var nc=ys._data,ac=ys._size,sc=ys._datatype,cc=tc._data,uc=tc._datatype,lc=ac[0],e0=ac[1],dc,kc=a,Jc=s;sc&&uc&&sc===uc&&typeof sc=="string"&&(dc=sc,kc=t.find(a,[dc,dc]),Jc=t.find(s,[dc,dc]));for(var n0=[],d0=0;d0<lc;d0++){for(var t0=nc[d0],h0=Jc(t0[0],cc[0]),_0=1;_0<e0;_0++)h0=kc(h0,Jc(t0[_0],cc[_0]));n0[d0]=h0}return ys.createDenseMatrix({data:n0,size:[lc],datatype:dc})}function $e(ys,tc){var nc=ys._data,ac=ys._size,sc=ys._datatype,cc=tc._data,uc=tc._size,lc=tc._datatype,e0=ac[0],dc=ac[1],kc=uc[1],Jc,n0=a,d0=s;sc&&lc&&sc===lc&&typeof sc=="string"&&(Jc=sc,n0=t.find(a,[Jc,Jc]),d0=t.find(s,[Jc,Jc]));for(var t0=[],h0=0;h0<e0;h0++){var _0=nc[h0];t0[h0]=[];for(var c0=0;c0<kc;c0++){for(var f0=d0(_0[0],cc[0][c0]),q0=1;q0<dc;q0++)f0=n0(f0,d0(_0[q0],cc[q0][c0]));t0[h0][c0]=f0}}return ys.createDenseMatrix({data:t0,size:[e0,kc],datatype:Jc})}function Ie(ys,tc){var nc=ys._data,ac=ys._size,sc=ys._datatype,cc=tc._values,uc=tc._index,lc=tc._ptr,e0=tc._size,dc=tc._datatype;if(!cc)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var kc=ac[0],Jc=e0[1],n0,d0=a,t0=s,h0=l,_0=0;sc&&dc&&sc===dc&&typeof sc=="string"&&(n0=sc,d0=t.find(a,[n0,n0]),t0=t.find(s,[n0,n0]),h0=t.find(l,[n0,n0]),_0=t.convert(0,n0));for(var c0=[],f0=[],q0=[],D0=tc.createSparseMatrix({values:c0,index:f0,ptr:q0,size:[kc,Jc],datatype:n0}),$0=0;$0<Jc;$0++){q0[$0]=f0.length;var k0=lc[$0],R0=lc[$0+1];if(R0>k0)for(var C0=0,I0=0;I0<kc;I0++){for(var Y0=I0+1,K0=void 0,W0=k0;W0<R0;W0++){var r0=uc[W0];C0!==Y0?(K0=t0(nc[I0][r0],cc[W0]),C0=Y0):K0=d0(K0,t0(nc[I0][r0],cc[W0]))}C0===Y0&&!h0(K0,_0)&&(f0.push(I0),c0.push(K0))}}return q0[Jc]=f0.length,D0}function Dt(ys,tc){var nc=ys._values,ac=ys._index,sc=ys._ptr,cc=ys._datatype;if(!nc)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var uc=tc._data,lc=tc._datatype,e0=ys._size[0],dc=tc._size[0],kc=[],Jc=[],n0=[],d0,t0=a,h0=s,_0=l,c0=0;cc&&lc&&cc===lc&&typeof cc=="string"&&(d0=cc,t0=t.find(a,[d0,d0]),h0=t.find(s,[d0,d0]),_0=t.find(l,[d0,d0]),c0=t.convert(0,d0));var f0=[],q0=[];n0[0]=0;for(var D0=0;D0<dc;D0++){var $0=uc[D0];if(!_0($0,c0))for(var k0=sc[D0],R0=sc[D0+1],C0=k0;C0<R0;C0++){var I0=ac[C0];q0[I0]?f0[I0]=t0(f0[I0],h0($0,nc[C0])):(q0[I0]=!0,Jc.push(I0),f0[I0]=h0($0,nc[C0]))}}for(var Y0=Jc.length,K0=0;K0<Y0;K0++){var W0=Jc[K0];kc[K0]=f0[W0]}return n0[1]=Jc.length,ys.createSparseMatrix({values:kc,index:Jc,ptr:n0,size:[e0,1],datatype:d0})}function Lr(ys,tc){var nc=ys._values,ac=ys._index,sc=ys._ptr,cc=ys._datatype;if(!nc)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var uc=tc._data,lc=tc._datatype,e0=ys._size[0],dc=tc._size[0],kc=tc._size[1],Jc,n0=a,d0=s,t0=l,h0=0;cc&&lc&&cc===lc&&typeof cc=="string"&&(Jc=cc,n0=t.find(a,[Jc,Jc]),d0=t.find(s,[Jc,Jc]),t0=t.find(l,[Jc,Jc]),h0=t.convert(0,Jc));for(var _0=[],c0=[],f0=[],q0=ys.createSparseMatrix({values:_0,index:c0,ptr:f0,size:[e0,kc],datatype:Jc}),D0=[],$0=[],k0=0;k0<kc;k0++){f0[k0]=c0.length;for(var R0=k0+1,C0=0;C0<dc;C0++){var I0=uc[C0][k0];if(!t0(I0,h0))for(var Y0=sc[C0],K0=sc[C0+1],W0=Y0;W0<K0;W0++){var r0=ac[W0];$0[r0]!==R0?($0[r0]=R0,c0.push(r0),D0[r0]=d0(I0,nc[W0])):D0[r0]=n0(D0[r0],d0(I0,nc[W0]))}}for(var b0=f0[k0],A0=c0.length,v0=b0;v0<A0;v0++){var i0=c0[v0];_0[v0]=D0[i0]}}return f0[kc]=c0.length,q0}function ec(ys,tc){var nc=ys._values,ac=ys._index,sc=ys._ptr,cc=ys._datatype,uc=tc._values,lc=tc._index,e0=tc._ptr,dc=tc._datatype,kc=ys._size[0],Jc=tc._size[1],n0=nc&&uc,d0,t0=a,h0=s;cc&&dc&&cc===dc&&typeof cc=="string"&&(d0=cc,t0=t.find(a,[d0,d0]),h0=t.find(s,[d0,d0]));for(var _0=n0?[]:void 0,c0=[],f0=[],q0=ys.createSparseMatrix({values:_0,index:c0,ptr:f0,size:[kc,Jc],datatype:d0}),D0=n0?[]:void 0,$0=[],k0,R0,C0,I0,Y0,K0,W0,r0,b0=0;b0<Jc;b0++){f0[b0]=c0.length;var A0=b0+1;for(Y0=e0[b0],K0=e0[b0+1],I0=Y0;I0<K0;I0++)if(r0=lc[I0],n0)for(R0=sc[r0],C0=sc[r0+1],k0=R0;k0<C0;k0++)W0=ac[k0],$0[W0]!==A0?($0[W0]=A0,c0.push(W0),D0[W0]=h0(uc[I0],nc[k0])):D0[W0]=t0(D0[W0],h0(uc[I0],nc[k0]));else for(R0=sc[r0],C0=sc[r0+1],k0=R0;k0<C0;k0++)W0=ac[k0],$0[W0]!==A0&&($0[W0]=A0,c0.push(W0));if(n0)for(var v0=f0[b0],i0=c0.length,S0=v0;S0<i0;S0++){var E0=c0[S0];_0[S0]=D0[E0]}}return f0[Jc]=c0.length,q0}return t(name$3Y,s,{"Array, Array":t.referTo("Matrix, Matrix",ys=>(tc,nc)=>{g(arraySize(tc),arraySize(nc));var ac=ys(r(tc),r(nc));return isMatrix(ac)?ac.valueOf():ac}),"Matrix, Matrix":function(tc,nc){var ac=tc.size(),sc=nc.size();return g(ac,sc),ac.length===1?sc.length===1?f(tc,nc,ac[0]):x(tc,nc):sc.length===1?Z(tc,nc):Ce(tc,nc)},"Matrix, Array":t.referTo("Matrix,Matrix",ys=>(tc,nc)=>ys(tc,r(nc))),"Array, Matrix":t.referToSelf(ys=>(tc,nc)=>ys(r(tc,nc.storage()),nc)),"SparseMatrix, any":function(tc,nc){return _(tc,nc,s,!1)},"DenseMatrix, any":function(tc,nc){return m(tc,nc,s,!1)},"any, SparseMatrix":function(tc,nc){return _(nc,tc,s,!0)},"any, DenseMatrix":function(tc,nc){return m(nc,tc,s,!0)},"Array, any":function(tc,nc){return m(r(tc),nc,s,!1).valueOf()},"any, Array":function(tc,nc){return m(r(nc),tc,s,!0).valueOf()},"any, any":s,"any, any, ...any":t.referToSelf(ys=>(tc,nc,ac)=>{for(var sc=ys(tc,nc),cc=0;cc<ac.length;cc++)sc=ys(sc,ac[cc]);return sc})})}),name$3X="nthRoot",dependencies$3W=["typed","matrix","equalScalar","BigNumber","concat"],createNthRoot=factory(name$3X,dependencies$3W,n=>{var{typed:t,matrix:r,equalScalar:a,BigNumber:s,concat:l}=n,u=createMatAlgo01xDSid({typed:t}),_=createMatAlgo02xDS0({typed:t,equalScalar:a}),m=createMatAlgo06xS0S0({typed:t,equalScalar:a}),g=createMatAlgo11xS0s({typed:t,equalScalar:a}),f=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:l});function x(){throw new Error("Complex number not supported in function nthRoot. Use nthRoots instead.")}return t(name$3X,{number:nthRootNumber,"number, number":nthRootNumber,BigNumber:Z=>w(Z,new s(2)),"BigNumber, BigNumber":w,Complex:x,"Complex, number":x,Array:t.referTo("DenseMatrix,number",Z=>Ce=>Z(r(Ce),2).valueOf()),DenseMatrix:t.referTo("DenseMatrix,number",Z=>Ce=>Z(Ce,2)),SparseMatrix:t.referTo("SparseMatrix,number",Z=>Ce=>Z(Ce,2)),"SparseMatrix, SparseMatrix":t.referToSelf(Z=>(Ce,ne)=>{if(ne.density()===1)return m(Ce,ne,Z);throw new Error("Root must be non-zero")}),"DenseMatrix, SparseMatrix":t.referToSelf(Z=>(Ce,ne)=>{if(ne.density()===1)return u(Ce,ne,Z,!1);throw new Error("Root must be non-zero")}),"Array, SparseMatrix":t.referTo("DenseMatrix,SparseMatrix",Z=>(Ce,ne)=>Z(r(Ce),ne)),"number | BigNumber, SparseMatrix":t.referToSelf(Z=>(Ce,ne)=>{if(ne.density()===1)return g(ne,Ce,Z,!0);throw new Error("Root must be non-zero")})},f({scalar:"number | BigNumber",SD:_,Ss:g,sS:!1}));function w(Z,Ce){var ne=s.precision,$e=s.clone({precision:ne+2}),Ie=new s(0),Dt=new $e(1),Lr=Ce.isNegative();if(Lr&&(Ce=Ce.neg()),Ce.isZero())throw new Error("Root must be non-zero");if(Z.isNegative()&&!Ce.abs().mod(2).equals(1))throw new Error("Root must be odd when a is negative.");if(Z.isZero())return Lr?new $e(1/0):0;if(!Z.isFinite())return Lr?Ie:Z;var ec=Z.abs().pow(Dt.div(Ce));return ec=Z.isNeg()?ec.neg():ec,new s((Lr?Dt.div(ec):ec).toPrecision(ne))}}),name$3W="sign",dependencies$3V=["typed","BigNumber","Fraction","complex"],createSign=factory(name$3W,dependencies$3V,n=>{var{typed:t,BigNumber:r,complex:a,Fraction:s}=n;return t(name$3W,{number:signNumber,Complex:function(u){return u.im===0?a(signNumber(u.re)):u.sign()},BigNumber:function(u){return new r(u.cmp(0))},Fraction:function(u){return new s(u.s,1)},"Array | Matrix":t.referToSelf(l=>u=>deepMap(u,l)),Unit:t.referToSelf(l=>u=>{if(!u._isDerived()&&u.units[0].unit.offset!==0)throw new TypeError("sign is ambiguous for units with offset");return t.find(l,u.valueType())(u.value)})})}),name$3V="sqrt",dependencies$3U=["config","typed","Complex"],createSqrt=factory(name$3V,dependencies$3U,n=>{var{config:t,typed:r,Complex:a}=n;return r("sqrt",{number:s,Complex:function(u){return u.sqrt()},BigNumber:function(u){return!u.isNegative()||t.predictable?u.sqrt():s(u.toNumber())},Unit:function(u){return u.pow(.5)}});function s(l){return isNaN(l)?NaN:l>=0||t.predictable?Math.sqrt(l):new a(l,0).sqrt()}}),name$3U="square",dependencies$3T=["typed"],createSquare=factory(name$3U,dependencies$3T,n=>{var{typed:t}=n;return t(name$3U,{number:squareNumber,Complex:function(a){return a.mul(a)},BigNumber:function(a){return a.times(a)},Fraction:function(a){return a.mul(a)},Unit:function(a){return a.pow(2)}})}),name$3T="subtract",dependencies$3S=["typed","matrix","equalScalar","subtractScalar","unaryMinus","DenseMatrix","concat"],createSubtract=factory(name$3T,dependencies$3S,n=>{var{typed:t,matrix:r,equalScalar:a,subtractScalar:s,unaryMinus:l,DenseMatrix:u,concat:_}=n,m=createMatAlgo01xDSid({typed:t}),g=createMatAlgo03xDSf({typed:t}),f=createMatAlgo05xSfSf({typed:t,equalScalar:a}),x=createMatAlgo10xSids({typed:t,DenseMatrix:u}),w=createMatAlgo12xSfs({typed:t,DenseMatrix:u}),Z=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:_});return t(name$3T,{"any, any":s},Z({elop:s,SS:f,DS:m,SD:g,Ss:w,sS:x}))}),name$3S="xgcd",dependencies$3R=["typed","config","matrix","BigNumber"],createXgcd=factory(name$3S,dependencies$3R,n=>{var{typed:t,config:r,matrix:a,BigNumber:s}=n;return t(name$3S,{"number, number":function(_,m){var g=xgcdNumber(_,m);return r.matrix==="Array"?g:a(g)},"BigNumber, BigNumber":l});function l(u,_){var m,g,f,x=new s(0),w=new s(1),Z=x,Ce=w,ne=w,$e=x;if(!u.isInt()||!_.isInt())throw new Error("Parameters in function xgcd must be integer numbers");for(;!_.isZero();)g=u.div(_).floor(),f=u.mod(_),m=Z,Z=Ce.minus(g.times(Z)),Ce=m,m=ne,ne=$e.minus(g.times(ne)),$e=m,u=_,_=f;var Ie;return u.lt(x)?Ie=[u.neg(),Ce.neg(),$e.neg()]:Ie=[u,u.isZero()?0:Ce,$e],r.matrix==="Array"?Ie:a(Ie)}}),name$3R="invmod",dependencies$3Q=["typed","config","BigNumber","xgcd","equal","smaller","mod","add","isInteger"],createInvmod=factory(name$3R,dependencies$3Q,n=>{var{typed:t,config:r,BigNumber:a,xgcd:s,equal:l,smaller:u,mod:_,add:m,isInteger:g}=n;return t(name$3R,{"number, number":f,"BigNumber, BigNumber":f});function f(x,w){if(!g(x)||!g(w))throw new Error("Parameters in function invmod must be integer numbers");if(x=_(x,w),l(w,0))throw new Error("Divisor must be non zero");var Z=s(x,w);Z=Z.valueOf();var[Ce,ne]=Z;return l(Ce,a(1))?(ne=_(ne,w),u(ne,a(0))&&(ne=m(ne,w)),ne):NaN}}),name$3Q="matAlgo09xS0Sf",dependencies$3P=["typed","equalScalar"],createMatAlgo09xS0Sf=factory(name$3Q,dependencies$3P,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u){var _=s._values,m=s._index,g=s._ptr,f=s._size,x=s._datatype,w=l._values,Z=l._index,Ce=l._ptr,ne=l._size,$e=l._datatype;if(f.length!==ne.length)throw new DimensionError(f.length,ne.length);if(f[0]!==ne[0]||f[1]!==ne[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+ne+")");var Ie=f[0],Dt=f[1],Lr,ec=r,ys=0,tc=u;typeof x=="string"&&x===$e&&(Lr=x,ec=t.find(r,[Lr,Lr]),ys=t.convert(0,Lr),tc=t.find(u,[Lr,Lr]));var nc=_&&w?[]:void 0,ac=[],sc=[],cc=nc?[]:void 0,uc=[],lc,e0,dc,kc,Jc;for(e0=0;e0<Dt;e0++){sc[e0]=ac.length;var n0=e0+1;if(cc)for(kc=Ce[e0],Jc=Ce[e0+1],dc=kc;dc<Jc;dc++)lc=Z[dc],uc[lc]=n0,cc[lc]=w[dc];for(kc=g[e0],Jc=g[e0+1],dc=kc;dc<Jc;dc++)if(lc=m[dc],cc){var d0=uc[lc]===n0?cc[lc]:ys,t0=tc(_[dc],d0);ec(t0,ys)||(ac.push(lc),nc.push(t0))}else ac.push(lc)}return sc[Dt]=ac.length,s.createSparseMatrix({values:nc,index:ac,ptr:sc,size:[Ie,Dt],datatype:Lr})}}),name$3P="dotMultiply",dependencies$3O=["typed","matrix","equalScalar","multiplyScalar","concat"],createDotMultiply=factory(name$3P,dependencies$3O,n=>{var{typed:t,matrix:r,equalScalar:a,multiplyScalar:s,concat:l}=n,u=createMatAlgo02xDS0({typed:t,equalScalar:a}),_=createMatAlgo09xS0Sf({typed:t,equalScalar:a}),m=createMatAlgo11xS0s({typed:t,equalScalar:a}),g=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:l});return t(name$3P,g({elop:s,SS:_,DS:u,Ss:m}))});function bitAndBigNumber(n,t){if(n.isFinite()&&!n.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitAnd");var r=n.constructor;if(n.isNaN()||t.isNaN())return new r(NaN);if(n.isZero()||t.eq(-1)||n.eq(t))return n;if(t.isZero()||n.eq(-1))return t;if(!n.isFinite()||!t.isFinite()){if(!n.isFinite()&&!t.isFinite())return n.isNegative()===t.isNegative()?n:new r(0);if(!n.isFinite())return t.isNegative()?n:n.isNegative()?new r(0):t;if(!t.isFinite())return n.isNegative()?t:t.isNegative()?new r(0):n}return bitwise(n,t,function(a,s){return a&s})}function bitNotBigNumber(n){if(n.isFinite()&&!n.isInteger())throw new Error("Integer expected in function bitNot");var t=n.constructor,r=t.precision;t.config({precision:1e9});var a=n.plus(new t(1));return a.s=-a.s||null,t.config({precision:r}),a}function bitOrBigNumber(n,t){if(n.isFinite()&&!n.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitOr");var r=n.constructor;if(n.isNaN()||t.isNaN())return new r(NaN);var a=new r(-1);return n.isZero()||t.eq(a)||n.eq(t)?t:t.isZero()||n.eq(a)?n:!n.isFinite()||!t.isFinite()?!n.isFinite()&&!n.isNegative()&&t.isNegative()||n.isNegative()&&!t.isNegative()&&!t.isFinite()?a:n.isNegative()&&t.isNegative()?n.isFinite()?n:t:n.isFinite()?t:n:bitwise(n,t,function(s,l){return s|l})}function bitwise(n,t,r){var a=n.constructor,s,l,u=+(n.s<0),_=+(t.s<0);if(u){s=decCoefficientToBinaryString(bitNotBigNumber(n));for(var m=0;m<s.length;++m)s[m]^=1}else s=decCoefficientToBinaryString(n);if(_){l=decCoefficientToBinaryString(bitNotBigNumber(t));for(var g=0;g<l.length;++g)l[g]^=1}else l=decCoefficientToBinaryString(t);var f,x,w;s.length<=l.length?(f=s,x=l,w=u):(f=l,x=s,w=_);var Z=f.length,Ce=x.length,ne=r(u,_)^1,$e=new a(ne^1),Ie=new a(1),Dt=new a(2),Lr=a.precision;for(a.config({precision:1e9});Z>0;)r(f[--Z],x[--Ce])===ne&&($e=$e.plus(Ie)),Ie=Ie.times(Dt);for(;Ce>0;)r(w,x[--Ce])===ne&&($e=$e.plus(Ie)),Ie=Ie.times(Dt);return a.config({precision:Lr}),ne===0&&($e.s=-$e.s),$e}function decCoefficientToBinaryString(n){for(var t=n.d,r=t[0]+"",a=1;a<t.length;++a){for(var s=t[a]+"",l=7-s.length;l--;)s="0"+s;r+=s}for(var u=r.length;r.charAt(u)==="0";)u--;var _=n.e,m=r.slice(0,u+1||1),g=m.length;if(_>0)if(++_>g)for(_-=g;_--;)m+="0";else _<g&&(m=m.slice(0,_)+"."+m.slice(_));for(var f=[0],x=0;x<m.length;){for(var w=f.length;w--;)f[w]*=10;f[0]+=parseInt(m.charAt(x++));for(var Z=0;Z<f.length;++Z)f[Z]>1&&((f[Z+1]===null||f[Z+1]===void 0)&&(f[Z+1]=0),f[Z+1]+=f[Z]>>1,f[Z]&=1)}return f.reverse()}function bitXor$1(n,t){if(n.isFinite()&&!n.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitXor");var r=n.constructor;if(n.isNaN()||t.isNaN())return new r(NaN);if(n.isZero())return t;if(t.isZero())return n;if(n.eq(t))return new r(0);var a=new r(-1);return n.eq(a)?bitNotBigNumber(t):t.eq(a)?bitNotBigNumber(n):!n.isFinite()||!t.isFinite()?!n.isFinite()&&!t.isFinite()?a:new r(n.isNegative()===t.isNegative()?1/0:-1/0):bitwise(n,t,function(s,l){return s^l})}function leftShiftBigNumber(n,t){if(n.isFinite()&&!n.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function leftShift");var r=n.constructor;return n.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):n.isZero()||t.isZero()?n:!n.isFinite()&&!t.isFinite()?new r(NaN):t.lt(55)?n.times(Math.pow(2,t.toNumber())+""):n.times(new r(2).pow(t))}function rightArithShiftBigNumber(n,t){if(n.isFinite()&&!n.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function rightArithShift");var r=n.constructor;return n.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):n.isZero()||t.isZero()?n:t.isFinite()?t.lt(55)?n.div(Math.pow(2,t.toNumber())+"").floor():n.div(new r(2).pow(t)).floor():n.isNegative()?new r(-1):n.isFinite()?new r(0):new r(NaN)}var name$3O="bitAnd",dependencies$3N=["typed","matrix","equalScalar","concat"],createBitAnd=factory(name$3O,dependencies$3N,n=>{var{typed:t,matrix:r,equalScalar:a,concat:s}=n,l=createMatAlgo02xDS0({typed:t,equalScalar:a}),u=createMatAlgo06xS0S0({typed:t,equalScalar:a}),_=createMatAlgo11xS0s({typed:t,equalScalar:a}),m=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:s});return t(name$3O,{"number, number":bitAndNumber,"BigNumber, BigNumber":bitAndBigNumber},m({SS:u,DS:l,Ss:_}))}),name$3N="bitNot",dependencies$3M=["typed"],createBitNot=factory(name$3N,dependencies$3M,n=>{var{typed:t}=n;return t(name$3N,{number:bitNotNumber,BigNumber:bitNotBigNumber,"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$3M="bitOr",dependencies$3L=["typed","matrix","equalScalar","DenseMatrix","concat"],createBitOr=factory(name$3M,dependencies$3L,n=>{var{typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo01xDSid({typed:t}),_=createMatAlgo04xSidSid({typed:t,equalScalar:a}),m=createMatAlgo10xSids({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:l});return t(name$3M,{"number, number":bitOrNumber,"BigNumber, BigNumber":bitOrBigNumber},g({SS:_,DS:u,Ss:m}))}),name$3L="matAlgo07xSSf",dependencies$3K=["typed","DenseMatrix"],createMatAlgo07xSSf=factory(name$3L,dependencies$3K,n=>{var{typed:t,DenseMatrix:r}=n;return function(l,u,_){var m=l._size,g=l._datatype,f=u._size,x=u._datatype;if(m.length!==f.length)throw new DimensionError(m.length,f.length);if(m[0]!==f[0]||m[1]!==f[1])throw new RangeError("Dimension mismatch. Matrix A ("+m+") must match Matrix B ("+f+")");var w=m[0],Z=m[1],Ce,ne=0,$e=_;typeof g=="string"&&g===x&&(Ce=g,ne=t.convert(0,Ce),$e=t.find(_,[Ce,Ce]));var Ie,Dt,Lr=[];for(Ie=0;Ie<w;Ie++)Lr[Ie]=[];var ec=[],ys=[],tc=[],nc=[];for(Dt=0;Dt<Z;Dt++){var ac=Dt+1;for(a(l,Dt,tc,ec,ac),a(u,Dt,nc,ys,ac),Ie=0;Ie<w;Ie++){var sc=tc[Ie]===ac?ec[Ie]:ne,cc=nc[Ie]===ac?ys[Ie]:ne;Lr[Ie][Dt]=$e(sc,cc)}}return new r({data:Lr,size:[w,Z],datatype:Ce})};function a(s,l,u,_,m){for(var g=s._values,f=s._index,x=s._ptr,w=x[l],Z=x[l+1];w<Z;w++){var Ce=f[w];u[Ce]=m,_[Ce]=g[w]}}}),name$3K="bitXor",dependencies$3J=["typed","matrix","DenseMatrix","concat"],createBitXor=factory(name$3K,dependencies$3J,n=>{var{typed:t,matrix:r,DenseMatrix:a,concat:s}=n,l=createMatAlgo03xDSf({typed:t}),u=createMatAlgo07xSSf({typed:t,DenseMatrix:a}),_=createMatAlgo12xSfs({typed:t,DenseMatrix:a}),m=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:s});return t(name$3K,{"number, number":bitXorNumber,"BigNumber, BigNumber":bitXor$1},m({SS:u,DS:l,Ss:_}))}),name$3J="arg",dependencies$3I=["typed"],createArg=factory(name$3J,dependencies$3I,n=>{var{typed:t}=n;return t(name$3J,{number:function(a){return Math.atan2(0,a)},BigNumber:function(a){return a.constructor.atan2(0,a)},Complex:function(a){return a.arg()},"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$3I="conj",dependencies$3H=["typed"],createConj=factory(name$3I,dependencies$3H,n=>{var{typed:t}=n;return t(name$3I,{"number | BigNumber | Fraction":r=>r,Complex:r=>r.conjugate(),"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$3H="im",dependencies$3G=["typed"],createIm=factory(name$3H,dependencies$3G,n=>{var{typed:t}=n;return t(name$3H,{number:()=>0,"BigNumber | Fraction":r=>r.mul(0),Complex:r=>r.im,"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$3G="re",dependencies$3F=["typed"],createRe=factory(name$3G,dependencies$3F,n=>{var{typed:t}=n;return t(name$3G,{"number | BigNumber | Fraction":r=>r,Complex:r=>r.re,"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$3F="not",dependencies$3E=["typed"],createNot=factory(name$3F,dependencies$3E,n=>{var{typed:t}=n;return t(name$3F,{"null | undefined":()=>!0,number:notNumber,Complex:function(a){return a.re===0&&a.im===0},BigNumber:function(a){return a.isZero()||a.isNaN()},Unit:t.referToSelf(r=>a=>t.find(r,a.valueType())(a.value)),"Array | Matrix":t.referToSelf(r=>a=>deepMap(a,r))})}),name$3E="or",dependencies$3D=["typed","matrix","equalScalar","DenseMatrix","concat"],createOr=factory(name$3E,dependencies$3D,n=>{var{typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo03xDSf({typed:t}),_=createMatAlgo05xSfSf({typed:t,equalScalar:a}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:l});return t(name$3E,{"number, number":orNumber,"Complex, Complex":function(x,w){return x.re!==0||x.im!==0||w.re!==0||w.im!==0},"BigNumber, BigNumber":function(x,w){return!x.isZero()&&!x.isNaN()||!w.isZero()&&!w.isNaN()},"Unit, Unit":t.referToSelf(f=>(x,w)=>f(x.value||0,w.value||0))},g({SS:_,DS:u,Ss:m}))}),name$3D="xor",dependencies$3C=["typed","matrix","DenseMatrix","concat"],createXor=factory(name$3D,dependencies$3C,n=>{var{typed:t,matrix:r,DenseMatrix:a,concat:s}=n,l=createMatAlgo03xDSf({typed:t}),u=createMatAlgo07xSSf({typed:t,DenseMatrix:a}),_=createMatAlgo12xSfs({typed:t,DenseMatrix:a}),m=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:s});return t(name$3D,{"number, number":xorNumber,"Complex, Complex":function(f,x){return(f.re!==0||f.im!==0)!=(x.re!==0||x.im!==0)},"BigNumber, BigNumber":function(f,x){return(!f.isZero()&&!f.isNaN())!=(!x.isZero()&&!x.isNaN())},"Unit, Unit":t.referToSelf(g=>(f,x)=>g(f.value||0,x.value||0))},m({SS:u,DS:l,Ss:_}))}),name$3C="concat",dependencies$3B=["typed","matrix","isInteger"],createConcat=factory(name$3C,dependencies$3B,n=>{var{typed:t,matrix:r,isInteger:a}=n;return t(name$3C,{"...Array | Matrix | number | BigNumber":function(l){var u,_=l.length,m=-1,g,f=!1,x=[];for(u=0;u<_;u++){var w=l[u];if(isMatrix(w)&&(f=!0),isNumber(w)||isBigNumber(w)){if(u!==_-1)throw new Error("Dimension must be specified as last argument");if(g=m,m=w.valueOf(),!a(m))throw new TypeError("Integer number expected for dimension");if(m<0||u>0&&m>g)throw new IndexError(m,g+1)}else{var Z=clone$4(w).valueOf(),Ce=arraySize(Z);if(x[u]=Z,g=m,m=Ce.length-1,u>0&&m!==g)throw new DimensionError(g+1,m+1)}}if(x.length===0)throw new SyntaxError("At least one matrix expected");for(var ne=x.shift();x.length;)ne=concat$1(ne,x.shift(),m);return f?r(ne):ne},"...string":function(l){return l.join("")}})}),name$3B="column",dependencies$3A=["typed","Index","matrix","range"],createColumn=factory(name$3B,dependencies$3A,n=>{var{typed:t,Index:r,matrix:a,range:s}=n;return t(name$3B,{"Matrix, number":l,"Array, number":function(_,m){return l(a(clone$4(_)),m).valueOf()}});function l(u,_){if(u.size().length!==2)throw new Error("Only two dimensional matrix is supported");validateIndex(_,u.size()[1]);var m=s(0,u.size()[0]),g=new r(m,_),f=u.subset(g);return isMatrix(f)?f:a([[f]])}}),name$3A="count",dependencies$3z=["typed","size","prod"],createCount=factory(name$3A,dependencies$3z,n=>{var{typed:t,size:r,prod:a}=n;return t(name$3A,{string:function(l){return l.length},"Matrix | Array":function(l){return a(r(l))}})}),name$3z="cross",dependencies$3y=["typed","matrix","subtract","multiply"],createCross=factory(name$3z,dependencies$3y,n=>{var{typed:t,matrix:r,subtract:a,multiply:s}=n;return t(name$3z,{"Matrix, Matrix":function(_,m){return r(l(_.toArray(),m.toArray()))},"Matrix, Array":function(_,m){return r(l(_.toArray(),m))},"Array, Matrix":function(_,m){return r(l(_,m.toArray()))},"Array, Array":l});function l(u,_){var m=Math.max(arraySize(u).length,arraySize(_).length);u=squeeze$1(u),_=squeeze$1(_);var g=arraySize(u),f=arraySize(_);if(g.length!==1||f.length!==1||g[0]!==3||f[0]!==3)throw new RangeError("Vectors with length 3 expected (Size A = ["+g.join(", ")+"], B = ["+f.join(", ")+"])");var x=[a(s(u[1],_[2]),s(u[2],_[1])),a(s(u[2],_[0]),s(u[0],_[2])),a(s(u[0],_[1]),s(u[1],_[0]))];return m>1?[x]:x}}),name$3y="diag",dependencies$3x=["typed","matrix","DenseMatrix","SparseMatrix"],createDiag=factory(name$3y,dependencies$3x,n=>{var{typed:t,matrix:r,DenseMatrix:a,SparseMatrix:s}=n;return t(name$3y,{Array:function(g){return l(g,0,arraySize(g),null)},"Array, number":function(g,f){return l(g,f,arraySize(g),null)},"Array, BigNumber":function(g,f){return l(g,f.toNumber(),arraySize(g),null)},"Array, string":function(g,f){return l(g,0,arraySize(g),f)},"Array, number, string":function(g,f,x){return l(g,f,arraySize(g),x)},"Array, BigNumber, string":function(g,f,x){return l(g,f.toNumber(),arraySize(g),x)},Matrix:function(g){return l(g,0,g.size(),g.storage())},"Matrix, number":function(g,f){return l(g,f,g.size(),g.storage())},"Matrix, BigNumber":function(g,f){return l(g,f.toNumber(),g.size(),g.storage())},"Matrix, string":function(g,f){return l(g,0,g.size(),f)},"Matrix, number, string":function(g,f,x){return l(g,f,g.size(),x)},"Matrix, BigNumber, string":function(g,f,x){return l(g,f.toNumber(),g.size(),x)}});function l(m,g,f,x){if(!isInteger$1(g))throw new TypeError("Second parameter in function diag must be an integer");var w=g>0?g:0,Z=g<0?-g:0;switch(f.length){case 1:return u(m,g,x,f[0],Z,w);case 2:return _(m,g,x,f,Z,w)}throw new RangeError("Matrix for function diag must be 2 dimensional")}function u(m,g,f,x,w,Z){var Ce=[x+w,x+Z];if(f&&f!=="sparse"&&f!=="dense")throw new TypeError("Unknown matrix type ".concat(f,'"'));var ne=f==="sparse"?s.diagonal(Ce,m,g):a.diagonal(Ce,m,g);return f!==null?ne:ne.valueOf()}function _(m,g,f,x,w,Z){if(isMatrix(m)){var Ce=m.diagonal(g);return f!==null?f!==Ce.storage()?r(Ce,f):Ce:Ce.valueOf()}for(var ne=Math.min(x[0]-w,x[1]-Z),$e=[],Ie=0;Ie<ne;Ie++)$e[Ie]=m[Ie+w][Ie+Z];return f!==null?r($e):$e}});function applyCallback(n,t,r,a,s){if(typedFunction.isTypedFunction(n)){var l=[t,r,a],u=typedFunction.resolve(n,l);if(u)return x(u.implementation,l);var _=[t,r],m=typedFunction.resolve(n,_);if(m)return x(m.implementation,_);var g=[t],f=typedFunction.resolve(n,g);return f?x(f.implementation,g):x(n,l)}else return n(t,r,a);function x(w,Z){try{return w.apply(w,Z)}catch($e){var Ce;if($e instanceof TypeError&&((Ce=$e.data)===null||Ce===void 0?void 0:Ce.category)==="wrongType"){var ne=[];throw ne.push("value: ".concat(typeOf$1(t))),Z.length>=2&&ne.push("index: ".concat(typeOf$1(r))),Z.length>=3&&ne.push("array: ".concat(typeOf$1(a))),new TypeError("Function ".concat(s," cannot apply callback arguments ")+"".concat(n.name,"(").concat(ne.join(", "),") at index ").concat(JSON.stringify(r)))}else throw new TypeError("Function ".concat(s," cannot apply callback arguments ")+"to function ".concat(n.name,": ").concat($e.message))}}}var name$3x="filter",dependencies$3w=["typed"],createFilter=factory(name$3x,dependencies$3w,n=>{var{typed:t}=n;return t("filter",{"Array, function":_filterCallback,"Matrix, function":function(a,s){return a.create(_filterCallback(a.toArray(),s))},"Array, RegExp":filterRegExp,"Matrix, RegExp":function(a,s){return a.create(filterRegExp(a.toArray(),s))}})});function _filterCallback(n,t){return filter$1(n,function(r,a,s){return applyCallback(t,r,[a],s,"filter")})}var name$3w="flatten",dependencies$3v=["typed","matrix"],createFlatten=factory(name$3w,dependencies$3v,n=>{var{typed:t,matrix:r}=n;return t(name$3w,{Array:function(s){return flatten$1(s)},Matrix:function(s){var l=flatten$1(s.toArray());return r(l)}})}),name$3v="forEach",dependencies$3u=["typed"],createForEach=factory(name$3v,dependencies$3u,n=>{var{typed:t}=n;return t(name$3v,{"Array, function":_forEach,"Matrix, function":function(a,s){a.forEach(s)}})});function _forEach(n,t){var r=function a(s,l){if(Array.isArray(s))forEach$1(s,function(u,_){a(u,l.concat(_))});else return applyCallback(t,s,l,n,"forEach")};r(n,[])}var name$3u="getMatrixDataType",dependencies$3t=["typed"],createGetMatrixDataType=factory(name$3u,dependencies$3t,n=>{var{typed:t}=n;return t(name$3u,{Array:function(a){return getArrayDataType(a,typeOf$1)},Matrix:function(a){return a.getDataType()}})}),name$3t="identity",dependencies$3s=["typed","config","matrix","BigNumber","DenseMatrix","SparseMatrix"],createIdentity=factory(name$3t,dependencies$3s,n=>{var{typed:t,config:r,matrix:a,BigNumber:s,DenseMatrix:l,SparseMatrix:u}=n;return t(name$3t,{"":function(){return r.matrix==="Matrix"?a([]):[]},string:function(f){return a(f)},"number | BigNumber":function(f){return m(f,f,r.matrix==="Matrix"?"dense":void 0)},"number | BigNumber, string":function(f,x){return m(f,f,x)},"number | BigNumber, number | BigNumber":function(f,x){return m(f,x,r.matrix==="Matrix"?"dense":void 0)},"number | BigNumber, number | BigNumber, string":function(f,x,w){return m(f,x,w)},Array:function(f){return _(f)},"Array, string":function(f,x){return _(f,x)},Matrix:function(f){return _(f.valueOf(),f.storage())},"Matrix, string":function(f,x){return _(f.valueOf(),x)}});function _(g,f){switch(g.length){case 0:return f?a(f):[];case 1:return m(g[0],g[0],f);case 2:return m(g[0],g[1],f);default:throw new Error("Vector containing two values expected")}}function m(g,f,x){var w=isBigNumber(g)||isBigNumber(f)?s:null;if(isBigNumber(g)&&(g=g.toNumber()),isBigNumber(f)&&(f=f.toNumber()),!isInteger$1(g)||g<1)throw new Error("Parameters in function identity must be positive integers");if(!isInteger$1(f)||f<1)throw new Error("Parameters in function identity must be positive integers");var Z=w?new s(1):1,Ce=w?new w(0):0,ne=[g,f];if(x){if(x==="sparse")return u.diagonal(ne,Z,0,Ce);if(x==="dense")return l.diagonal(ne,Z,0,Ce);throw new TypeError('Unknown matrix type "'.concat(x,'"'))}for(var $e=resize$1([],ne,Ce),Ie=g<f?g:f,Dt=0;Dt<Ie;Dt++)$e[Dt][Dt]=Z;return $e}}),name$3s="kron",dependencies$3r=["typed","matrix","multiplyScalar"],createKron=factory(name$3s,dependencies$3r,n=>{var{typed:t,matrix:r,multiplyScalar:a}=n;return t(name$3s,{"Matrix, Matrix":function(u,_){return r(s(u.toArray(),_.toArray()))},"Matrix, Array":function(u,_){return r(s(u.toArray(),_))},"Array, Matrix":function(u,_){return r(s(u,_.toArray()))},"Array, Array":s});function s(l,u){if(arraySize(l).length===1&&(l=[l]),arraySize(u).length===1&&(u=[u]),arraySize(l).length>2||arraySize(u).length>2)throw new RangeError("Vectors with dimensions greater then 2 are not supported expected (Size x = "+JSON.stringify(l.length)+", y = "+JSON.stringify(u.length)+")");var _=[],m=[];return l.map(function(g){return u.map(function(f){return m=[],_.push(m),g.map(function(x){return f.map(function(w){return 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Error("For A^b, A must be 2 dimensional (A has "+ne.length+" dimensions)");if(ne[0]!==ne[1])throw new Error("For A^b, A must be square (size is "+ne[0]+"x"+ne[1]+")");if(Ce<0)try{return x(u(Z),-Ce)}catch(Dt){throw Dt.message==="Cannot calculate inverse, determinant is zero"?new TypeError("For A^b, when A is not invertible, b must be a positive integer (value is "+Ce+")"):Dt}for(var $e=a(ne[0]).valueOf(),Ie=Z;Ce>=1;)(Ce&1)===1&&($e=s(Ie,$e)),Ce>>=1,Ie=s(Ie,Ie);return $e}function w(Z,Ce){return l(x(Z.valueOf(),Ce))}}),NO_INT="Number of decimals in function round must be an integer",name$2X="round",dependencies$2W=["typed","matrix","equalScalar","zeros","BigNumber","DenseMatrix"],createRound=factory(name$2X,dependencies$2W,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,BigNumber:l,DenseMatrix:u}=n,_=createMatAlgo11xS0s({typed:t,equalScalar:a}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:u}),g=createMatAlgo14xDs({typed:t});return t(name$2X,{number:roundNumber,"number, 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Unit":t.referToSelf(f=>(x,w)=>f(x,0,w)),"Array | Matrix, number, Unit":t.referToSelf(f=>(x,w,Z)=>deepMap(x,Ce=>f(Ce,w,Z))),"Array | Matrix, BigNumber, Unit":t.referToSelf(f=>(x,w,Z)=>f(x,w.toNumber(),Z)),"Array | Matrix, Unit":t.referToSelf(f=>(x,w)=>f(x,0,w)),"Array | Matrix":t.referToSelf(f=>x=>deepMap(x,f)),"SparseMatrix, number | BigNumber":t.referToSelf(f=>(x,w)=>_(x,w,f,!1)),"DenseMatrix, number | BigNumber":t.referToSelf(f=>(x,w)=>g(x,w,f,!1)),"Array, number | BigNumber":t.referToSelf(f=>(x,w)=>g(r(x),w,f,!1).valueOf()),"number | Complex | BigNumber | Fraction, SparseMatrix":t.referToSelf(f=>(x,w)=>a(x,0)?s(w.size(),w.storage()):m(w,x,f,!0)),"number | Complex | BigNumber | Fraction, DenseMatrix":t.referToSelf(f=>(x,w)=>a(x,0)?s(w.size(),w.storage()):g(w,x,f,!0)),"number | Complex | BigNumber | Fraction, Array":t.referToSelf(f=>(x,w)=>g(r(w),x,f,!0).valueOf())})}),name$2W="log",dependencies$2V=["config","typed","divideScalar","Complex"],createLog=factory(name$2W,dependencies$2V,n=>{var{typed:t,config:r,divideScalar:a,Complex:s}=n;return t(name$2W,{number:function(u){return u>=0||r.predictable?logNumber(u):new s(u,0).log()},Complex:function(u){return u.log()},BigNumber:function(u){return!u.isNegative()||r.predictable?u.ln():new s(u.toNumber(),0).log()},"any, any":t.referToSelf(l=>(u,_)=>a(l(u),l(_)))})}),name$2V="log1p",dependencies$2U=["typed","config","divideScalar","log","Complex"],createLog1p=factory(name$2V,dependencies$2U,n=>{var{typed:t,config:r,divideScalar:a,log:s,Complex:l}=n;return t(name$2V,{number:function(m){return m>=-1||r.predictable?log1p$1(m):u(new l(m,0))},Complex:u,BigNumber:function(m){var g=m.plus(1);return!g.isNegative()||r.predictable?g.ln():u(new l(m.toNumber(),0))},"Array | Matrix":t.referToSelf(_=>m=>deepMap(m,_)),"any, any":t.referToSelf(_=>(m,g)=>a(_(m),s(g)))});function u(_){var m=_.re+1;return new l(Math.log(Math.sqrt(m*m+_.im*_.im)),Math.atan2(_.im,m))}}),name$2U="nthRoots",dependencies$2T=["config","typed","divideScalar","Complex"],createNthRoots=factory(name$2U,dependencies$2T,n=>{var{typed:t,config:r,divideScalar:a,Complex:s}=n,l=[function(m){return new s(m,0)},function(m){return new s(0,m)},function(m){return new s(-m,0)},function(m){return new s(0,-m)}];function u(_,m){if(m<0)throw new Error("Root must be greater than zero");if(m===0)throw new Error("Root must be non-zero");if(m%1!==0)throw new Error("Root must be an integer");if(_===0||_.abs()===0)return[new s(0,0)];var g=typeof _=="number",f;(g||_.re===0||_.im===0)&&(g?f=2*+(_<0):_.im===0?f=2*+(_.re<0):f=2*+(_.im<0)+1);for(var x=_.arg(),w=_.abs(),Z=[],Ce=Math.pow(w,1/m),ne=0;ne<m;ne++){var $e=(f+4*ne)/m;if($e===Math.round($e)){Z.push(l[$e%4](Ce));continue}Z.push(new s({r:Ce,phi:(x+2*Math.PI*ne)/m}))}return Z}return t(name$2U,{Complex:function(m){return u(m,2)},"Complex, number":u})}),name$2T="dotPow",dependencies$2S=["typed","equalScalar","matrix","pow","DenseMatrix","concat"],createDotPow=factory(name$2T,dependencies$2S,n=>{var{typed:t,equalScalar:r,matrix:a,pow:s,DenseMatrix:l,concat:u}=n,_=createMatAlgo03xDSf({typed:t}),m=createMatAlgo07xSSf({typed:t,DenseMatrix:l}),g=createMatAlgo11xS0s({typed:t,equalScalar:r}),f=createMatAlgo12xSfs({typed:t,DenseMatrix:l}),x=createMatrixAlgorithmSuite({typed:t,matrix:a,concat:u}),w={};for(var Z in s.signatures)Object.prototype.hasOwnProperty.call(s.signatures,Z)&&!Z.includes("Matrix")&&!Z.includes("Array")&&(w[Z]=s.signatures[Z]);var Ce=t(w);return t(name$2T,x({elop:Ce,SS:m,DS:_,Ss:g,sS:f}))}),name$2S="dotDivide",dependencies$2R=["typed","matrix","equalScalar","divideScalar","DenseMatrix","concat"],createDotDivide=factory(name$2S,dependencies$2R,n=>{var{typed:t,matrix:r,equalScalar:a,divideScalar:s,DenseMatrix:l,concat:u}=n,_=createMatAlgo02xDS0({typed:t,equalScalar:a}),m=createMatAlgo03xDSf({typed:t}),g=createMatAlgo07xSSf({typed:t,DenseMatrix:l}),f=createMatAlgo11xS0s({typed:t,equalScalar:a}),x=createMatAlgo12xSfs({typed:t,DenseMatrix:l}),w=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:u});return t(name$2S,w({elop:s,SS:g,DS:m,SD:_,Ss:f,sS:x}))});function createSolveValidation(n){var{DenseMatrix:t}=n;return function(a,s,l){var u=a.size();if(u.length!==2)throw new RangeError("Matrix must be two dimensional (size: "+format$2(u)+")");var _=u[0],m=u[1];if(_!==m)throw new RangeError("Matrix must be square (size: "+format$2(u)+")");var g=[];if(isMatrix(s)){var f=s.size(),x=s._data;if(f.length===1){if(f[0]!==_)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var w=0;w<_;w++)g[w]=[x[w]];return new t({data:g,size:[_,1],datatype:s._datatype})}if(f.length===2){if(f[0]!==_||f[1]!==1)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(isDenseMatrix(s)){if(l){g=[];for(var Z=0;Z<_;Z++)g[Z]=[x[Z][0]];return new t({data:g,size:[_,1],datatype:s._datatype})}return s}if(isSparseMatrix(s)){for(var Ce=0;Ce<_;Ce++)g[Ce]=[0];for(var ne=s._values,$e=s._index,Ie=s._ptr,Dt=Ie[1],Lr=Ie[0];Lr<Dt;Lr++){var ec=$e[Lr];g[ec][0]=ne[Lr]}return new t({data:g,size:[_,1],datatype:s._datatype})}}throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.")}if(isArray$1(s)){var ys=arraySize(s);if(ys.length===1){if(ys[0]!==_)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var tc=0;tc<_;tc++)g[tc]=[s[tc]];return new t({data:g,size:[_,1]})}if(ys.length===2){if(ys[0]!==_||ys[1]!==1)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var nc=0;nc<_;nc++)g[nc]=[s[nc][0]];return new t({data:g,size:[_,1]})}throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.")}}}var name$2R="lsolve",dependencies$2Q=["typed","matrix","divideScalar","multiplyScalar","subtractScalar","equalScalar","DenseMatrix"],createLsolve=factory(name$2R,dependencies$2Q,n=>{var{typed:t,matrix:r,divideScalar:a,multiplyScalar:s,subtractScalar:l,equalScalar:u,DenseMatrix:_}=n,m=createSolveValidation({DenseMatrix:_});return t(name$2R,{"SparseMatrix, Array | Matrix":function(w,Z){return f(w,Z)},"DenseMatrix, Array | Matrix":function(w,Z){return g(w,Z)},"Array, Array | Matrix":function(w,Z){var Ce=r(w),ne=g(Ce,Z);return ne.valueOf()}});function g(x,w){w=m(x,w,!0);for(var Z=w._data,Ce=x._size[0],ne=x._size[1],$e=[],Ie=x._data,Dt=0;Dt<ne;Dt++){var Lr=Z[Dt][0]||0,ec=void 0;if(u(Lr,0))ec=0;else{var ys=Ie[Dt][Dt];if(u(ys,0))throw new Error("Linear system cannot be solved since matrix is singular");ec=a(Lr,ys);for(var tc=Dt+1;tc<Ce;tc++)Z[tc]=[l(Z[tc][0]||0,s(ec,Ie[tc][Dt]))]}$e[Dt]=[ec]}return new _({data:$e,size:[Ce,1]})}function f(x,w){w=m(x,w,!0);for(var Z=w._data,Ce=x._size[0],ne=x._size[1],$e=x._values,Ie=x._index,Dt=x._ptr,Lr=[],ec=0;ec<ne;ec++){var ys=Z[ec][0]||0;if(u(ys,0))Lr[ec]=[0];else{for(var tc=0,nc=[],ac=[],sc=Dt[ec],cc=Dt[ec+1],uc=sc;uc<cc;uc++){var lc=Ie[uc];lc===ec?tc=$e[uc]:lc>ec&&(nc.push($e[uc]),ac.push(lc))}if(u(tc,0))throw new Error("Linear system cannot be solved since matrix is singular");for(var e0=a(ys,tc),dc=0,kc=ac.length;dc<kc;dc++){var Jc=ac[dc];Z[Jc]=[l(Z[Jc][0]||0,s(e0,nc[dc]))]}Lr[ec]=[e0]}}return new _({data:Lr,size:[Ce,1]})}}),name$2Q="usolve",dependencies$2P=["typed","matrix","divideScalar","multiplyScalar","subtractScalar","equalScalar","DenseMatrix"],createUsolve=factory(name$2Q,dependencies$2P,n=>{var{typed:t,matrix:r,divideScalar:a,multiplyScalar:s,subtractScalar:l,equalScalar:u,DenseMatrix:_}=n,m=createSolveValidation({DenseMatrix:_});return t(name$2Q,{"SparseMatrix, Array | Matrix":function(w,Z){return f(w,Z)},"DenseMatrix, Array | Matrix":function(w,Z){return g(w,Z)},"Array, Array | Matrix":function(w,Z){var Ce=r(w),ne=g(Ce,Z);return ne.valueOf()}});function g(x,w){w=m(x,w,!0);for(var Z=w._data,Ce=x._size[0],ne=x._size[1],$e=[],Ie=x._data,Dt=ne-1;Dt>=0;Dt--){var Lr=Z[Dt][0]||0,ec=void 0;if(u(Lr,0))ec=0;else{var ys=Ie[Dt][Dt];if(u(ys,0))throw new Error("Linear system cannot be solved since matrix is singular");ec=a(Lr,ys);for(var tc=Dt-1;tc>=0;tc--)Z[tc]=[l(Z[tc][0]||0,s(ec,Ie[tc][Dt]))]}$e[Dt]=[ec]}return new _({data:$e,size:[Ce,1]})}function f(x,w){w=m(x,w,!0);for(var Z=w._data,Ce=x._size[0],ne=x._size[1],$e=x._values,Ie=x._index,Dt=x._ptr,Lr=[],ec=ne-1;ec>=0;ec--){var ys=Z[ec][0]||0;if(u(ys,0))Lr[ec]=[0];else{for(var tc=0,nc=[],ac=[],sc=Dt[ec],cc=Dt[ec+1],uc=cc-1;uc>=sc;uc--){var lc=Ie[uc];lc===ec?tc=$e[uc]:lc<ec&&(nc.push($e[uc]),ac.push(lc))}if(u(tc,0))throw new Error("Linear system cannot be solved since matrix is singular");for(var e0=a(ys,tc),dc=0,kc=ac.length;dc<kc;dc++){var Jc=ac[dc];Z[Jc]=[l(Z[Jc][0],s(e0,nc[dc]))]}Lr[ec]=[e0]}}return new _({data:Lr,size:[Ce,1]})}}),name$2P="lsolveAll",dependencies$2O=["typed","matrix","divideScalar","multiplyScalar","subtractScalar","equalScalar","DenseMatrix"],createLsolveAll=factory(name$2P,dependencies$2O,n=>{var{typed:t,matrix:r,divideScalar:a,multiplyScalar:s,subtractScalar:l,equalScalar:u,DenseMatrix:_}=n,m=createSolveValidation({DenseMatrix:_});return t(name$2P,{"SparseMatrix, Array | Matrix":function(w,Z){return f(w,Z)},"DenseMatrix, Array | Matrix":function(w,Z){return g(w,Z)},"Array, Array | Matrix":function(w,Z){var Ce=r(w),ne=g(Ce,Z);return ne.map($e=>$e.valueOf())}});function g(x,w){for(var Z=[m(x,w,!0)._data.map(ac=>ac[0])],Ce=x._data,ne=x._size[0],$e=x._size[1],Ie=0;Ie<$e;Ie++)for(var Dt=Z.length,Lr=0;Lr<Dt;Lr++){var ec=Z[Lr];if(u(Ce[Ie][Ie],0))if(u(ec[Ie],0)){if(Lr===0){var tc=[...ec];tc[Ie]=1;for(var nc=Ie+1;nc<$e;nc++)tc[nc]=l(tc[nc],Ce[nc][Ie]);Z.push(tc)}}else{if(Lr===0)return[];Z.splice(Lr,1),Lr-=1,Dt-=1}else{ec[Ie]=a(ec[Ie],Ce[Ie][Ie]);for(var ys=Ie+1;ys<$e;ys++)ec[ys]=l(ec[ys],s(ec[Ie],Ce[ys][Ie]))}}return Z.map(ac=>new _({data:ac.map(sc=>[sc]),size:[ne,1]}))}function f(x,w){for(var Z=[m(x,w,!0)._data.map(_0=>_0[0])],Ce=x._size[0],ne=x._size[1],$e=x._values,Ie=x._index,Dt=x._ptr,Lr=0;Lr<ne;Lr++)for(var ec=Z.length,ys=0;ys<ec;ys++){for(var tc=Z[ys],nc=[],ac=[],sc=Dt[Lr],cc=Dt[Lr+1],uc=0,lc=sc;lc<cc;lc++){var e0=Ie[lc];e0===Lr?uc=$e[lc]:e0>Lr&&(nc.push($e[lc]),ac.push(e0))}if(u(uc,0))if(u(tc[Lr],0)){if(ys===0){var n0=[...tc];n0[Lr]=1;for(var d0=0,t0=ac.length;d0<t0;d0++){var h0=ac[d0];n0[h0]=l(n0[h0],nc[d0])}Z.push(n0)}}else{if(ys===0)return[];Z.splice(ys,1),ys-=1,ec-=1}else{tc[Lr]=a(tc[Lr],uc);for(var dc=0,kc=ac.length;dc<kc;dc++){var Jc=ac[dc];tc[Jc]=l(tc[Jc],s(tc[Lr],nc[dc]))}}}return Z.map(_0=>new _({data:_0.map(c0=>[c0]),size:[Ce,1]}))}}),name$2O="usolveAll",dependencies$2N=["typed","matrix","divideScalar","multiplyScalar","subtractScalar","equalScalar","DenseMatrix"],createUsolveAll=factory(name$2O,dependencies$2N,n=>{var{typed:t,matrix:r,divideScalar:a,multiplyScalar:s,subtractScalar:l,equalScalar:u,DenseMatrix:_}=n,m=createSolveValidation({DenseMatrix:_});return t(name$2O,{"SparseMatrix, Array | Matrix":function(w,Z){return f(w,Z)},"DenseMatrix, Array | Matrix":function(w,Z){return g(w,Z)},"Array, Array | Matrix":function(w,Z){var Ce=r(w),ne=g(Ce,Z);return ne.map($e=>$e.valueOf())}});function g(x,w){for(var Z=[m(x,w,!0)._data.map(ac=>ac[0])],Ce=x._data,ne=x._size[0],$e=x._size[1],Ie=$e-1;Ie>=0;Ie--)for(var Dt=Z.length,Lr=0;Lr<Dt;Lr++){var ec=Z[Lr];if(u(Ce[Ie][Ie],0))if(u(ec[Ie],0)){if(Lr===0){var tc=[...ec];tc[Ie]=1;for(var nc=Ie-1;nc>=0;nc--)tc[nc]=l(tc[nc],Ce[nc][Ie]);Z.push(tc)}}else{if(Lr===0)return[];Z.splice(Lr,1),Lr-=1,Dt-=1}else{ec[Ie]=a(ec[Ie],Ce[Ie][Ie]);for(var ys=Ie-1;ys>=0;ys--)ec[ys]=l(ec[ys],s(ec[Ie],Ce[ys][Ie]))}}return Z.map(ac=>new _({data:ac.map(sc=>[sc]),size:[ne,1]}))}function f(x,w){for(var Z=[m(x,w,!0)._data.map(_0=>_0[0])],Ce=x._size[0],ne=x._size[1],$e=x._values,Ie=x._index,Dt=x._ptr,Lr=ne-1;Lr>=0;Lr--)for(var ec=Z.length,ys=0;ys<ec;ys++){for(var tc=Z[ys],nc=[],ac=[],sc=Dt[Lr],cc=Dt[Lr+1],uc=0,lc=cc-1;lc>=sc;lc--){var e0=Ie[lc];e0===Lr?uc=$e[lc]:e0<Lr&&(nc.push($e[lc]),ac.push(e0))}if(u(uc,0))if(u(tc[Lr],0)){if(ys===0){var n0=[...tc];n0[Lr]=1;for(var d0=0,t0=ac.length;d0<t0;d0++){var h0=ac[d0];n0[h0]=l(n0[h0],nc[d0])}Z.push(n0)}}else{if(ys===0)return[];Z.splice(ys,1),ys-=1,ec-=1}else{tc[Lr]=a(tc[Lr],uc);for(var dc=0,kc=ac.length;dc<kc;dc++){var Jc=ac[dc];tc[Jc]=l(tc[Jc],s(tc[Lr],nc[dc]))}}}return Z.map(_0=>new _({data:_0.map(c0=>[c0]),size:[Ce,1]}))}}),name$2N="matAlgo08xS0Sid",dependencies$2M=["typed","equalScalar"],createMatAlgo08xS0Sid=factory(name$2N,dependencies$2M,n=>{var{typed:t,equalScalar:r}=n;return function(s,l,u){var _=s._values,m=s._index,g=s._ptr,f=s._size,x=s._datatype,w=l._values,Z=l._index,Ce=l._ptr,ne=l._size,$e=l._datatype;if(f.length!==ne.length)throw new DimensionError(f.length,ne.length);if(f[0]!==ne[0]||f[1]!==ne[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+ne+")");if(!_||!w)throw new Error("Cannot perform operation on Pattern Sparse Matrices");var Ie=f[0],Dt=f[1],Lr,ec=r,ys=0,tc=u;typeof x=="string"&&x===$e&&(Lr=x,ec=t.find(r,[Lr,Lr]),ys=t.convert(0,Lr),tc=t.find(u,[Lr,Lr]));for(var nc=[],ac=[],sc=[],cc=[],uc=[],lc,e0,dc,kc,Jc=0;Jc<Dt;Jc++){sc[Jc]=ac.length;var n0=Jc+1;for(e0=g[Jc],dc=g[Jc+1],lc=e0;lc<dc;lc++)kc=m[lc],uc[kc]=n0,cc[kc]=_[lc],ac.push(kc);for(e0=Ce[Jc],dc=Ce[Jc+1],lc=e0;lc<dc;lc++)kc=Z[lc],uc[kc]===n0&&(cc[kc]=tc(cc[kc],w[lc]));for(lc=sc[Jc];lc<ac.length;){kc=ac[lc];var d0=cc[kc];ec(d0,ys)?ac.splice(lc,1):(nc.push(d0),lc++)}}return sc[Dt]=ac.length,s.createSparseMatrix({values:nc,index:ac,ptr:sc,size:[Ie,Dt],datatype:Lr})}}),createUseMatrixForArrayScalar=factory("useMatrixForArrayScalar",["typed","matrix"],n=>{var{typed:t,matrix:r}=n;return{"Array, number":t.referTo("DenseMatrix, number",a=>(s,l)=>a(r(s),l).valueOf()),"Array, BigNumber":t.referTo("DenseMatrix, BigNumber",a=>(s,l)=>a(r(s),l).valueOf()),"number, Array":t.referTo("number, DenseMatrix",a=>(s,l)=>a(s,r(l)).valueOf()),"BigNumber, Array":t.referTo("BigNumber, DenseMatrix",a=>(s,l)=>a(s,r(l)).valueOf())}}),name$2M="leftShift",dependencies$2L=["typed","matrix","equalScalar","zeros","DenseMatrix","concat"],createLeftShift=factory(name$2M,dependencies$2L,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,DenseMatrix:l,concat:u}=n,_=createMatAlgo01xDSid({typed:t}),m=createMatAlgo02xDS0({typed:t,equalScalar:a}),g=createMatAlgo08xS0Sid({typed:t,equalScalar:a}),f=createMatAlgo10xSids({typed:t,DenseMatrix:l}),x=createMatAlgo11xS0s({typed:t,equalScalar:a}),w=createMatAlgo14xDs({typed:t}),Z=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:u}),Ce=createUseMatrixForArrayScalar({typed:t,matrix:r});return t(name$2M,{"number, number":leftShiftNumber,"BigNumber, BigNumber":leftShiftBigNumber,"SparseMatrix, number | BigNumber":t.referToSelf(ne=>($e,Ie)=>a(Ie,0)?$e.clone():x($e,Ie,ne,!1)),"DenseMatrix, number | BigNumber":t.referToSelf(ne=>($e,Ie)=>a(Ie,0)?$e.clone():w($e,Ie,ne,!1)),"number | BigNumber, SparseMatrix":t.referToSelf(ne=>($e,Ie)=>a($e,0)?s(Ie.size(),Ie.storage()):f(Ie,$e,ne,!0)),"number | BigNumber, DenseMatrix":t.referToSelf(ne=>($e,Ie)=>a($e,0)?s(Ie.size(),Ie.storage()):w(Ie,$e,ne,!0))},Ce,Z({SS:g,DS:_,SD:m}))}),name$2L="rightArithShift",dependencies$2K=["typed","matrix","equalScalar","zeros","DenseMatrix","concat"],createRightArithShift=factory(name$2L,dependencies$2K,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,DenseMatrix:l,concat:u}=n,_=createMatAlgo01xDSid({typed:t}),m=createMatAlgo02xDS0({typed:t,equalScalar:a}),g=createMatAlgo08xS0Sid({typed:t,equalScalar:a}),f=createMatAlgo10xSids({typed:t,DenseMatrix:l}),x=createMatAlgo11xS0s({typed:t,equalScalar:a}),w=createMatAlgo14xDs({typed:t}),Z=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:u}),Ce=createUseMatrixForArrayScalar({typed:t,matrix:r});return t(name$2L,{"number, number":rightArithShiftNumber,"BigNumber, BigNumber":rightArithShiftBigNumber,"SparseMatrix, number | BigNumber":t.referToSelf(ne=>($e,Ie)=>a(Ie,0)?$e.clone():x($e,Ie,ne,!1)),"DenseMatrix, number | BigNumber":t.referToSelf(ne=>($e,Ie)=>a(Ie,0)?$e.clone():w($e,Ie,ne,!1)),"number | BigNumber, SparseMatrix":t.referToSelf(ne=>($e,Ie)=>a($e,0)?s(Ie.size(),Ie.storage()):f(Ie,$e,ne,!0)),"number | BigNumber, DenseMatrix":t.referToSelf(ne=>($e,Ie)=>a($e,0)?s(Ie.size(),Ie.storage()):w(Ie,$e,ne,!0))},Ce,Z({SS:g,DS:_,SD:m}))}),name$2K="rightLogShift",dependencies$2J=["typed","matrix","equalScalar","zeros","DenseMatrix","concat"],createRightLogShift=factory(name$2K,dependencies$2J,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,DenseMatrix:l,concat:u}=n,_=createMatAlgo01xDSid({typed:t}),m=createMatAlgo02xDS0({typed:t,equalScalar:a}),g=createMatAlgo08xS0Sid({typed:t,equalScalar:a}),f=createMatAlgo10xSids({typed:t,DenseMatrix:l}),x=createMatAlgo11xS0s({typed:t,equalScalar:a}),w=createMatAlgo14xDs({typed:t}),Z=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:u}),Ce=createUseMatrixForArrayScalar({typed:t,matrix:r});return t(name$2K,{"number, number":rightLogShiftNumber,"SparseMatrix, number | BigNumber":t.referToSelf(ne=>($e,Ie)=>a(Ie,0)?$e.clone():x($e,Ie,ne,!1)),"DenseMatrix, number | BigNumber":t.referToSelf(ne=>($e,Ie)=>a(Ie,0)?$e.clone():w($e,Ie,ne,!1)),"number | BigNumber, SparseMatrix":t.referToSelf(ne=>($e,Ie)=>a($e,0)?s(Ie.size(),Ie.storage()):f(Ie,$e,ne,!0)),"number | BigNumber, DenseMatrix":t.referToSelf(ne=>($e,Ie)=>a($e,0)?s(Ie.size(),Ie.storage()):w(Ie,$e,ne,!0))},Ce,Z({SS:g,DS:_,SD:m}))}),name$2J="and",dependencies$2I=["typed","matrix","equalScalar","zeros","not","concat"],createAnd=factory(name$2J,dependencies$2I,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,not:l,concat:u}=n,_=createMatAlgo02xDS0({typed:t,equalScalar:a}),m=createMatAlgo06xS0S0({typed:t,equalScalar:a}),g=createMatAlgo11xS0s({typed:t,equalScalar:a}),f=createMatAlgo14xDs({typed:t}),x=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:u});return t(name$2J,{"number, number":andNumber,"Complex, Complex":function(Z,Ce){return(Z.re!==0||Z.im!==0)&&(Ce.re!==0||Ce.im!==0)},"BigNumber, BigNumber":function(Z,Ce){return!Z.isZero()&&!Ce.isZero()&&!Z.isNaN()&&!Ce.isNaN()},"Unit, Unit":t.referToSelf(w=>(Z,Ce)=>w(Z.value||0,Ce.value||0)),"SparseMatrix, any":t.referToSelf(w=>(Z,Ce)=>l(Ce)?s(Z.size(),Z.storage()):g(Z,Ce,w,!1)),"DenseMatrix, any":t.referToSelf(w=>(Z,Ce)=>l(Ce)?s(Z.size(),Z.storage()):f(Z,Ce,w,!1)),"any, SparseMatrix":t.referToSelf(w=>(Z,Ce)=>l(Z)?s(Z.size(),Z.storage()):g(Ce,Z,w,!0)),"any, DenseMatrix":t.referToSelf(w=>(Z,Ce)=>l(Z)?s(Z.size(),Z.storage()):f(Ce,Z,w,!0)),"Array, any":t.referToSelf(w=>(Z,Ce)=>w(r(Z),Ce).valueOf()),"any, Array":t.referToSelf(w=>(Z,Ce)=>w(Z,r(Ce)).valueOf())},x({SS:m,DS:_}))}),name$2I="compare",dependencies$2H=["typed","config","matrix","equalScalar","BigNumber","Fraction","DenseMatrix","concat"],createCompare=factory(name$2I,dependencies$2H,n=>{var{typed:t,config:r,equalScalar:a,matrix:s,BigNumber:l,Fraction:u,DenseMatrix:_,concat:m}=n,g=createMatAlgo03xDSf({typed:t}),f=createMatAlgo05xSfSf({typed:t,equalScalar:a}),x=createMatAlgo12xSfs({typed:t,DenseMatrix:_}),w=createMatrixAlgorithmSuite({typed:t,matrix:s,concat:m}),Z=createCompareUnits({typed:t});return t(name$2I,createCompareNumber({typed:t,config:r}),{"boolean, boolean":function(ne,$e){return ne===$e?0:ne>$e?1:-1},"BigNumber, BigNumber":function(ne,$e){return nearlyEqual(ne,$e,r.epsilon)?new l(0):new l(ne.cmp($e))},"Fraction, Fraction":function(ne,$e){return new u(ne.compare($e))},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")}},Z,w({SS:f,DS:g,Ss:x}))}),createCompareNumber=factory(name$2I,["typed","config"],n=>{var{typed:t,config:r}=n;return t(name$2I,{"number, number":function(s,l){return nearlyEqual$1(s,l,r.epsilon)?0:s>l?1:-1}})}),naturalSort=function n(t,r){var a=/(^([+\-]?(?:0|[1-9]\d*)(?:\.\d*)?(?:[eE][+\-]?\d+)?)?$|^0x[0-9a-f]+$|\d+)/gi,s=/(^[ ]*|[ ]*$)/g,l=/(^([\w ]+,?[\w ]+)?[\w ]+,?[\w ]+\d+:\d+(:\d+)?[\w ]?|^\d{1,4}[\/\-]\d{1,4}[\/\-]\d{1,4}|^\w+, \w+ \d+, \d{4})/,u=/^0x[0-9a-f]+$/i,_=/^0/,m=function(Lr){return n.insensitive&&(""+Lr).toLowerCase()||""+Lr},g=m(t).replace(s,"")||"",f=m(r).replace(s,"")||"",x=g.replace(a,"\0$1\0").replace(/\0$/,"").replace(/^\0/,"").split("\0"),w=f.replace(a,"\0$1\0").replace(/\0$/,"").replace(/^\0/,"").split("\0"),Z=parseInt(g.match(u),16)||x.length!==1&&g.match(l)&&Date.parse(g),Ce=parseInt(f.match(u),16)||Z&&f.match(l)&&Date.parse(f)||null,ne,$e;if(Ce){if(Z<Ce)return-1;if(Z>Ce)return 1}for(var Ie=0,Dt=Math.max(x.length,w.length);Ie<Dt;Ie++){if(ne=!(x[Ie]||"").match(_)&&parseFloat(x[Ie])||x[Ie]||0,$e=!(w[Ie]||"").match(_)&&parseFloat(w[Ie])||w[Ie]||0,isNaN(ne)!==isNaN($e))return isNaN(ne)?1:-1;if(typeof ne!=typeof $e&&(ne+="",$e+=""),ne<$e)return-1;if(ne>$e)return 1}return 0};const naturalSort$1=getDefaultExportFromCjs(naturalSort);var name$2H="compareNatural",dependencies$2G=["typed","compare"],createCompareNatural=factory(name$2H,dependencies$2G,n=>{var{typed:t,compare:r}=n,a=r.signatures["boolean,boolean"];return t(name$2H,{"any, any":s});function s(m,g){var f=typeOf$1(m),x=typeOf$1(g),w;if((f==="number"||f==="BigNumber"||f==="Fraction")&&(x==="number"||x==="BigNumber"||x==="Fraction"))return w=r(m,g),w.toString()!=="0"?w>0?1:-1:naturalSort$1(f,x);var Z=["Array","DenseMatrix","SparseMatrix"];if(Z.includes(f)||Z.includes(x))return w=l(s,m,g),w!==0?w:naturalSort$1(f,x);if(f!==x)return naturalSort$1(f,x);if(f==="Complex")return compareComplexNumbers(m,g);if(f==="Unit")return m.equalBase(g)?s(m.value,g.value):u(s,m.formatUnits(),g.formatUnits());if(f==="boolean")return a(m,g);if(f==="string")return naturalSort$1(m,g);if(f==="Object")return _(s,m,g);if(f==="null"||f==="undefined")return 0;throw new TypeError('Unsupported type of value "'+f+'"')}function l(m,g,f){return isSparseMatrix(g)&&isSparseMatrix(f)?u(m,g.toJSON().values,f.toJSON().values):isSparseMatrix(g)?l(m,g.toArray(),f):isSparseMatrix(f)?l(m,g,f.toArray()):isDenseMatrix(g)?l(m,g.toJSON().data,f):isDenseMatrix(f)?l(m,g,f.toJSON().data):Array.isArray(g)?Array.isArray(f)?u(m,g,f):l(m,g,[f]):l(m,[g],f)}function u(m,g,f){for(var x=0,w=Math.min(g.length,f.length);x<w;x++){var Z=m(g[x],f[x]);if(Z!==0)return Z}return g.length>f.length?1:g.length<f.length?-1:0}function _(m,g,f){var x=Object.keys(g),w=Object.keys(f);x.sort(naturalSort$1),w.sort(naturalSort$1);var Z=u(m,x,w);if(Z!==0)return Z;for(var Ce=0;Ce<x.length;Ce++){var ne=m(g[x[Ce]],f[w[Ce]]);if(ne!==0)return ne}return 0}});function compareComplexNumbers(n,t){return n.re>t.re?1:n.re<t.re?-1:n.im>t.im?1:n.im<t.im?-1:0}var name$2G="compareText",dependencies$2F=["typed","matrix","concat"];compareText$1.signature="any, any";var createCompareText=factory(name$2G,dependencies$2F,n=>{var{typed:t,matrix:r,concat:a}=n,s=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:a});return t(name$2G,compareText$1,s({elop:compareText$1,Ds:!0}))}),name$2F="equal",dependencies$2E=["typed","matrix","equalScalar","DenseMatrix","concat"],createEqual=factory(name$2F,dependencies$2E,n=>{var{typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo03xDSf({typed:t}),_=createMatAlgo07xSSf({typed:t,DenseMatrix:s}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:r,concat:l});return t(name$2F,createEqualNumber({typed:t,equalScalar:a}),g({elop:a,SS:_,DS:u,Ss:m}))}),createEqualNumber=factory(name$2F,["typed","equalScalar"],n=>{var{typed:t,equalScalar:r}=n;return t(name$2F,{"any, any":function(s,l){return s===null?l===null:l===null?s===null:s===void 0?l===void 0:l===void 0?s===void 0:r(s,l)}})}),name$2E="equalText",dependencies$2D=["typed","compareText","isZero"],createEqualText=factory(name$2E,dependencies$2D,n=>{var{typed:t,compareText:r,isZero:a}=n;return t(name$2E,{"any, any":function(l,u){return a(r(l,u))}})}),name$2D="smaller",dependencies$2C=["typed","config","matrix","DenseMatrix","concat"],createSmaller=factory(name$2D,dependencies$2C,n=>{var{typed:t,config:r,matrix:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo03xDSf({typed:t}),_=createMatAlgo07xSSf({typed:t,DenseMatrix:s}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:a,concat:l}),f=createCompareUnits({typed:t});return t(name$2D,createSmallerNumber({typed:t,config:r}),{"boolean, boolean":(x,w)=>x<w,"BigNumber, BigNumber":function(w,Z){return w.lt(Z)&&!nearlyEqual(w,Z,r.epsilon)},"Fraction, Fraction":(x,w)=>x.compare(w)===-1,"Complex, Complex":function(w,Z){throw new TypeError("No ordering relation is defined for complex numbers")}},f,g({SS:_,DS:u,Ss:m}))}),createSmallerNumber=factory(name$2D,["typed","config"],n=>{var{typed:t,config:r}=n;return t(name$2D,{"number, number":function(s,l){return s<l&&!nearlyEqual$1(s,l,r.epsilon)}})}),name$2C="smallerEq",dependencies$2B=["typed","config","matrix","DenseMatrix","concat"],createSmallerEq=factory(name$2C,dependencies$2B,n=>{var{typed:t,config:r,matrix:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo03xDSf({typed:t}),_=createMatAlgo07xSSf({typed:t,DenseMatrix:s}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:a,concat:l}),f=createCompareUnits({typed:t});return t(name$2C,createSmallerEqNumber({typed:t,config:r}),{"boolean, boolean":(x,w)=>x<=w,"BigNumber, BigNumber":function(w,Z){return w.lte(Z)||nearlyEqual(w,Z,r.epsilon)},"Fraction, Fraction":(x,w)=>x.compare(w)!==1,"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")}},f,g({SS:_,DS:u,Ss:m}))}),createSmallerEqNumber=factory(name$2C,["typed","config"],n=>{var{typed:t,config:r}=n;return t(name$2C,{"number, number":function(s,l){return s<=l||nearlyEqual$1(s,l,r.epsilon)}})}),name$2B="larger",dependencies$2A=["typed","config","matrix","DenseMatrix","concat"],createLarger=factory(name$2B,dependencies$2A,n=>{var{typed:t,config:r,matrix:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo03xDSf({typed:t}),_=createMatAlgo07xSSf({typed:t,DenseMatrix:s}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:a,concat:l}),f=createCompareUnits({typed:t});return t(name$2B,createLargerNumber({typed:t,config:r}),{"boolean, boolean":(x,w)=>x>w,"BigNumber, BigNumber":function(w,Z){return w.gt(Z)&&!nearlyEqual(w,Z,r.epsilon)},"Fraction, Fraction":(x,w)=>x.compare(w)===1,"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")}},f,g({SS:_,DS:u,Ss:m}))}),createLargerNumber=factory(name$2B,["typed","config"],n=>{var{typed:t,config:r}=n;return t(name$2B,{"number, number":function(s,l){return s>l&&!nearlyEqual$1(s,l,r.epsilon)}})}),name$2A="largerEq",dependencies$2z=["typed","config","matrix","DenseMatrix","concat"],createLargerEq=factory(name$2A,dependencies$2z,n=>{var{typed:t,config:r,matrix:a,DenseMatrix:s,concat:l}=n,u=createMatAlgo03xDSf({typed:t}),_=createMatAlgo07xSSf({typed:t,DenseMatrix:s}),m=createMatAlgo12xSfs({typed:t,DenseMatrix:s}),g=createMatrixAlgorithmSuite({typed:t,matrix:a,concat:l}),f=createCompareUnits({typed:t});return t(name$2A,createLargerEqNumber({typed:t,config:r}),{"boolean, boolean":(x,w)=>x>=w,"BigNumber, BigNumber":function(w,Z){return w.gte(Z)||nearlyEqual(w,Z,r.epsilon)},"Fraction, Fraction":(x,w)=>x.compare(w)!==-1,"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")}},f,g({SS:_,DS:u,Ss:m}))}),createLargerEqNumber=factory(name$2A,["typed","config"],n=>{var{typed:t,config:r}=n;return t(name$2A,{"number, number":function(s,l){return s>=l||nearlyEqual$1(s,l,r.epsilon)}})}),name$2z="deepEqual",dependencies$2y=["typed","equal"],createDeepEqual=factory(name$2z,dependencies$2y,n=>{var{typed:t,equal:r}=n;return t(name$2z,{"any, any":function(l,u){return a(l.valueOf(),u.valueOf())}});function a(s,l){if(Array.isArray(s))if(Array.isArray(l)){var u=s.length;if(u!==l.length)return!1;for(var _=0;_<u;_++)if(!a(s[_],l[_]))return!1;return!0}else return!1;else return Array.isArray(l)?!1:r(s,l)}}),name$2y="unequal",dependencies$2x=["typed","config","equalScalar","matrix","DenseMatrix","concat"],createUnequal=factory(name$2y,dependencies$2x,n=>{var{typed:t,config:r,equalScalar:a,matrix:s,DenseMatrix:l,concat:u}=n,_=createMatAlgo03xDSf({typed:t}),m=createMatAlgo07xSSf({typed:t,DenseMatrix:l}),g=createMatAlgo12xSfs({typed:t,DenseMatrix:l}),f=createMatrixAlgorithmSuite({typed:t,matrix:s,concat:u});return t(name$2y,createUnequalNumber({typed:t,equalScalar:a}),f({elop:x,SS:m,DS:_,Ss:g}));function x(w,Z){return!a(w,Z)}}),createUnequalNumber=factory(name$2y,["typed","equalScalar"],n=>{var{typed:t,equalScalar:r}=n;return t(name$2y,{"any, any":function(s,l){return s===null?l!==null:l===null?s!==null:s===void 0?l!==void 0:l===void 0?s!==void 0:!r(s,l)}})}),name$2x="partitionSelect",dependencies$2w=["typed","isNumeric","isNaN","compare"],createPartitionSelect=factory(name$2x,dependencies$2w,n=>{var{typed:t,isNumeric:r,isNaN:a,compare:s}=n,l=s,u=(g,f)=>-s(g,f);return t(name$2x,{"Array | Matrix, number":function(f,x){return _(f,x,l)},"Array | Matrix, number, string":function(f,x,w){if(w==="asc")return _(f,x,l);if(w==="desc")return _(f,x,u);throw new Error('Compare string must be "asc" or "desc"')},"Array | Matrix, number, function":_});function _(g,f,x){if(!isInteger$1(f)||f<0)throw new Error("k must be a non-negative integer");if(isMatrix(g)){var w=g.size();if(w.length>1)throw new Error("Only one dimensional matrices supported");return m(g.valueOf(),f,x)}if(Array.isArray(g))return m(g,f,x)}function m(g,f,x){if(f>=g.length)throw new Error("k out of bounds");for(var w=0;w<g.length;w++)if(r(g[w])&&a(g[w]))return g[w];for(var Z=0,Ce=g.length-1;Z<Ce;){for(var ne=Z,$e=Ce,Ie=g[Math.floor(Math.random()*(Ce-Z+1))+Z];ne<$e;)if(x(g[ne],Ie)>=0){var Dt=g[$e];g[$e]=g[ne],g[ne]=Dt,--$e}else++ne;x(g[ne],Ie)>0&&--ne,f<=ne?Ce=ne:Z=ne+1}return g[f]}}),name$2w="sort",dependencies$2v=["typed","matrix","compare","compareNatural"],createSort=factory(name$2w,dependencies$2v,n=>{var{typed:t,matrix:r,compare:a,compareNatural:s}=n,l=a,u=(f,x)=>-a(f,x);return t(name$2w,{Array:function(x){return m(x),x.sort(l)},Matrix:function(x){return g(x),r(x.toArray().sort(l),x.storage())},"Array, function":function(x,w){return m(x),x.sort(w)},"Matrix, function":function(x,w){return g(x),r(x.toArray().sort(w),x.storage())},"Array, string":function(x,w){return m(x),x.sort(_(w))},"Matrix, string":function(x,w){return g(x),r(x.toArray().sort(_(w)),x.storage())}});function _(f){if(f==="asc")return l;if(f==="desc")return u;if(f==="natural")return s;throw new Error('String "asc", "desc", or "natural" expected')}function m(f){if(arraySize(f).length!==1)throw new Error("One dimensional array expected")}function g(f){if(f.size().length!==1)throw new Error("One dimensional matrix expected")}}),name$2v="max",dependencies$2u=["typed","config","numeric","larger"],createMax=factory(name$2v,dependencies$2u,n=>{var{typed:t,config:r,numeric:a,larger:s}=n;return t(name$2v,{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(m,g){return reduce(m,g.valueOf(),l)},"...":function(m){if(containsCollections(m))throw new TypeError("Scalar values expected in function max");return u(m)}});function l(_,m){try{return s(_,m)?_:m}catch(g){throw improveErrorMessage(g,"max",m)}}function u(_){var m;if(deepForEach(_,function(g){try{isNaN(g)&&typeof g=="number"?m=NaN:(m===void 0||s(g,m))&&(m=g)}catch(f){throw improveErrorMessage(f,"max",g)}}),m===void 0)throw new Error("Cannot calculate max of an empty array");return typeof m=="string"&&(m=a(m,r.number)),m}}),name$2u="min",dependencies$2t=["typed","config","numeric","smaller"],createMin=factory(name$2u,dependencies$2t,n=>{var{typed:t,config:r,numeric:a,smaller:s}=n;return t(name$2u,{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(m,g){return reduce(m,g.valueOf(),l)},"...":function(m){if(containsCollections(m))throw new TypeError("Scalar values expected in function min");return u(m)}});function l(_,m){try{return s(_,m)?_:m}catch(g){throw improveErrorMessage(g,"min",m)}}function u(_){var m;if(deepForEach(_,function(g){try{isNaN(g)&&typeof g=="number"?m=NaN:(m===void 0||s(g,m))&&(m=g)}catch(f){throw improveErrorMessage(f,"min",g)}}),m===void 0)throw new Error("Cannot calculate min of an empty array");return typeof m=="string"&&(m=a(m,r.number)),m}}),name$2t="ImmutableDenseMatrix",dependencies$2s=["smaller","DenseMatrix"],createImmutableDenseMatrixClass=factory(name$2t,dependencies$2s,n=>{var{smaller:t,DenseMatrix:r}=n;function a(s,l){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(l&&!isString$1(l))throw new Error("Invalid datatype: "+l);if(isMatrix(s)||isArray$1(s)){var u=new r(s,l);this._data=u._data,this._size=u._size,this._datatype=u._datatype,this._min=null,this._max=null}else if(s&&isArray$1(s.data)&&isArray$1(s.size))this._data=s.data,this._size=s.size,this._datatype=s.datatype,this._min=typeof s.min<"u"?s.min:null,this._max=typeof s.max<"u"?s.max:null;else{if(s)throw new TypeError("Unsupported type of data ("+typeOf$1(s)+")");this._data=[],this._size=[0],this._datatype=l,this._min=null,this._max=null}}return a.prototype=new r,a.prototype.type="ImmutableDenseMatrix",a.prototype.isImmutableDenseMatrix=!0,a.prototype.subset=function(s){switch(arguments.length){case 1:{var l=r.prototype.subset.call(this,s);return isMatrix(l)?new a({data:l._data,size:l._size,datatype:l._datatype}):l}case 2:case 3:throw new Error("Cannot invoke set subset on an Immutable 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m=="string")this._dimensions.push(m);else throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");this._sourceSize.push(x)}}a.prototype.type="Index",a.prototype.isIndex=!0;function s(l){for(var u=0,_=l.length;u<_;u++)if(typeof l[u]!="number"||!isInteger$1(l[u]))throw new TypeError("Index parameters must be positive integer numbers");return new t(l)}return a.prototype.clone=function(){var l=new a;return l._dimensions=clone$4(this._dimensions),l._isScalar=this._isScalar,l._sourceSize=this._sourceSize,l},a.create=function(l){var u=new a;return a.apply(u,l),u},a.prototype.size=function(){for(var l=[],u=0,_=this._dimensions.length;u<_;u++){var m=this._dimensions[u];l[u]=typeof m=="string"?1:m.size()[0]}return l},a.prototype.max=function(){for(var l=[],u=0,_=this._dimensions.length;u<_;u++){var m=this._dimensions[u];l[u]=typeof m=="string"?m:m.max()}return l},a.prototype.min=function(){for(var l=[],u=0,_=this._dimensions.length;u<_;u++){var m=this._dimensions[u];l[u]=typeof m=="string"?m:m.min()}return l},a.prototype.forEach=function(l){for(var u=0,_=this._dimensions.length;u<_;u++)l(this._dimensions[u],u,this)},a.prototype.dimension=function(l){return this._dimensions[l]||null},a.prototype.isObjectProperty=function(){return this._dimensions.length===1&&typeof this._dimensions[0]=="string"},a.prototype.getObjectProperty=function(){return this.isObjectProperty()?this._dimensions[0]:null},a.prototype.isScalar=function(){return this._isScalar},a.prototype.toArray=function(){for(var l=[],u=0,_=this._dimensions.length;u<_;u++){var m=this._dimensions[u];l.push(typeof m=="string"?m:m.toArray())}return l},a.prototype.valueOf=a.prototype.toArray,a.prototype.toString=function(){for(var l=[],u=0,_=this._dimensions.length;u<_;u++){var m=this._dimensions[u];typeof m=="string"?l.push(JSON.stringify(m)):l.push(m.toString())}return"["+l.join(", 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this._size},s.prototype.clear=function(){this._minimum=null,this._size=0},s.prototype.isEmpty=function(){return this._size===0},s.prototype.extractMinimum=function(){var f=this._minimum;if(f===null)return f;for(var x=this._minimum,w=f.degree,Z=f.child;w>0;){var Ce=Z.right;Z.left.right=Z.right,Z.right.left=Z.left,Z.left=x,Z.right=x.right,x.right=Z,Z.right.left=Z,Z.parent=null,Z=Ce,w--}return f.left.right=f.right,f.right.left=f.left,f===f.right?x=null:(x=f.right,x=g(x,this._size)),this._size--,this._minimum=x,f},s.prototype.remove=function(f){this._minimum=l(this._minimum,f,-1),this.extractMinimum()};function l(f,x,w){x.key=w;var Z=x.parent;return Z&&t(x.key,Z.key)&&(u(f,x,Z),_(f,Z)),t(x.key,f.key)&&(f=x),f}function u(f,x,w){x.left.right=x.right,x.right.left=x.left,w.degree--,w.child===x&&(w.child=x.right),w.degree===0&&(w.child=null),x.left=f,x.right=f.right,f.right=x,x.right.left=x,x.parent=null,x.mark=!1}function _(f,x){var w=x.parent;w&&(x.mark?(u(f,x,w),_(w)):x.mark=!0)}var m=function(x,w){x.left.right=x.right,x.right.left=x.left,x.parent=w,w.child?(x.left=w.child,x.right=w.child.right,w.child.right=x,x.right.left=x):(w.child=x,x.right=x,x.left=x),w.degree++,x.mark=!1};function g(f,x){var w=Math.floor(Math.log(x)*a)+1,Z=new Array(w),Ce=0,ne=f;if(ne)for(Ce++,ne=ne.right;ne!==f;)Ce++,ne=ne.right;for(var $e;Ce>0;){for(var Ie=ne.degree,Dt=ne.right;$e=Z[Ie],!!$e;){if(r(ne.key,$e.key)){var Lr=$e;$e=ne,ne=Lr}m($e,ne),Z[Ie]=null,Ie++}Z[Ie]=ne,ne=Dt,Ce--}f=null;for(var ec=0;ec<w;ec++)$e=Z[ec],$e&&(f?($e.left.right=$e.right,$e.right.left=$e.left,$e.left=f,$e.right=f.right,f.right=$e,$e.right.left=$e,t($e.key,f.key)&&(f=$e)):f=$e);return f}return s},{isClass:!0}),name$2q="Spa",dependencies$2p=["addScalar","equalScalar","FibonacciHeap"],createSpaClass=factory(name$2q,dependencies$2p,n=>{var{addScalar:t,equalScalar:r,FibonacciHeap:a}=n;function s(){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new 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if(_&&m){var g=_.value;_.value=m.value,m.value=g}},s},{isClass:!0}),createBigNumberE=memoize(function(n){return new n(1).exp()},{hasher}),createBigNumberPhi=memoize(function(n){return new n(1).plus(new n(5).sqrt()).div(2)},{hasher}),createBigNumberPi=memoize(function(n){return n.acos(-1)},{hasher}),createBigNumberTau=memoize(function(n){return createBigNumberPi(n).times(2)},{hasher});function hasher(n){return n[0].precision}function ownKeys$2(n,t){var r=Object.keys(n);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(n);t&&(a=a.filter(function(s){return Object.getOwnPropertyDescriptor(n,s).enumerable})),r.push.apply(r,a)}return r}function _objectSpread$1(n){for(var t=1;t<arguments.length;t++){var r=arguments[t]!=null?arguments[t]:{};t%2?ownKeys$2(Object(r),!0).forEach(function(a){_defineProperty$1(n,a,r[a])}):Object.getOwnPropertyDescriptors?Object.defineProperties(n,Object.getOwnPropertyDescriptors(r)):ownKeys$2(Object(r)).forEach(function(a){Object.defineProperty(n,a,Object.getOwnPropertyDescriptor(r,a))})}return n}var name$2p="Unit",dependencies$2o=["?on","config","addScalar","subtractScalar","multiplyScalar","divideScalar","pow","abs","fix","round","equal","isNumeric","format","number","Complex","BigNumber","Fraction"],createUnitClass=factory(name$2p,dependencies$2o,n=>{var{on:t,config:r,addScalar:a,subtractScalar:s,multiplyScalar:l,divideScalar:u,pow:_,abs:m,fix:g,round:f,equal:x,isNumeric:w,format:Z,number:Ce,Complex:ne,BigNumber:$e,Fraction:Ie}=n,Dt=Ce;function Lr(b0,A0){if(!(this instanceof Lr))throw new Error("Constructor must be called with the new operator");if(!(b0==null||w(b0)||isComplex(b0)))throw new TypeError("First parameter in Unit constructor must be number, 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b0="",A0=ys;if(tc==="+"?cc():tc==="-"&&(b0+=tc,cc()),!ac(tc))return uc(A0),null;if(tc==="."){if(b0+=tc,cc(),!sc(tc))return uc(A0),null}else{for(;sc(tc);)b0+=tc,cc();tc==="."&&(b0+=tc,cc())}for(;sc(tc);)b0+=tc,cc();if(tc==="E"||tc==="e"){var v0="",i0=ys;if(v0+=tc,cc(),(tc==="+"||tc==="-")&&(v0+=tc,cc()),!sc(tc))return uc(i0),b0;for(b0=b0+v0;sc(tc);)b0+=tc,cc()}return b0}function e0(){for(var b0="";sc(tc)||Lr.isValidAlpha(tc);)b0+=tc,cc();var A0=b0.charAt(0);return Lr.isValidAlpha(A0)?b0:null}function dc(b0){return tc===b0?(cc(),b0):null}Lr.parse=function(b0,A0){if(A0=A0||{},ec=b0,ys=-1,tc="",typeof ec!="string")throw new TypeError("Invalid argument in Unit.parse, string expected");var v0=new Lr;v0.units=[];var i0=1,S0=!1;cc(),nc();var E0=lc(),L0=null;if(E0){if(r.number==="BigNumber")L0=new $e(E0);else if(r.number==="Fraction")try{L0=new Ie(E0)}catch{L0=parseFloat(E0)}else L0=parseFloat(E0);nc(),dc("*")?(i0=1,S0=!0):dc("/")&&(i0=-1,S0=!0)}for(var O0=[],P0=1;;){for(nc();tc==="(";)O0.push(i0),P0*=i0,i0=1,cc(),nc();var w0=void 0;if(tc){var U0=tc;if(w0=e0(),w0===null)throw new SyntaxError('Unexpected "'+U0+'" in "'+ec+'" at index '+ys.toString())}else break;var o0=kc(w0);if(o0===null)throw new SyntaxError('Unit "'+w0+'" not found.');var x0=i0*P0;if(nc(),dc("^")){nc();var T0=lc();if(T0===null)throw new SyntaxError('In "'+b0+'", "^" must be followed by a floating-point number');x0*=T0}v0.units.push({unit:o0.unit,prefix:o0.prefix,power:x0});for(var z0=0;z0<d0.length;z0++)v0.dimensions[z0]+=(o0.unit.dimensions[z0]||0)*x0;for(nc();tc===")";){if(O0.length===0)throw new SyntaxError('Unmatched ")" in "'+ec+'" at index '+ys.toString());P0/=O0.pop(),cc(),nc()}if(S0=!1,dc("*")?(i0=1,S0=!0):dc("/")?(i0=-1,S0=!0):i0=1,o0.unit.base){var Z0=o0.unit.base.key;$0.auto[Z0]={unit:o0.unit,prefix:o0.prefix}}}if(nc(),tc)throw new SyntaxError('Could not parse: "'+b0+'"');if(S0)throw new SyntaxError('Trailing characters: "'+b0+'"');if(O0.length!==0)throw new SyntaxError('Unmatched "(" in "'+ec+'"');if(v0.units.length===0&&!A0.allowNoUnits)throw new SyntaxError('"'+b0+'" contains no units');return v0.value=L0!==void 0?v0._normalize(L0):null,v0},Lr.prototype.clone=function(){var b0=new Lr;b0.fixPrefix=this.fixPrefix,b0.skipAutomaticSimplification=this.skipAutomaticSimplification,b0.value=clone$4(this.value),b0.dimensions=this.dimensions.slice(0),b0.units=[];for(var A0=0;A0<this.units.length;A0++){b0.units[A0]={};for(var v0 in this.units[A0])hasOwnProperty(this.units[A0],v0)&&(b0.units[A0][v0]=this.units[A0][v0])}return b0},Lr.prototype.valueType=function(){return typeOf$1(this.value)},Lr.prototype._isDerived=function(){return this.units.length===0?!1:this.units.length>1||Math.abs(this.units[0].power-1)>1e-15},Lr.prototype._normalize=function(b0){if(b0==null||this.units.length===0)return b0;for(var A0=b0,v0=Lr._getNumberConverter(typeOf$1(b0)),i0=0;i0<this.units.length;i0++){var S0=v0(this.units[i0].unit.value),E0=v0(this.units[i0].prefix.value),L0=v0(this.units[i0].power);A0=l(A0,_(l(S0,E0),L0))}return A0},Lr.prototype._denormalize=function(b0,A0){if(b0==null||this.units.length===0)return b0;for(var v0=b0,i0=Lr._getNumberConverter(typeOf$1(b0)),S0=0;S0<this.units.length;S0++){var E0=i0(this.units[S0].unit.value),L0=i0(this.units[S0].prefix.value),O0=i0(this.units[S0].power);v0=u(v0,_(l(E0,L0),O0))}return v0};var kc=memoize(b0=>{if(hasOwnProperty(f0,b0)){var A0=f0[b0],v0=A0.prefixes[""];return{unit:A0,prefix:v0}}for(var i0 in f0)if(hasOwnProperty(f0,i0)&&endsWith(b0,i0)){var S0=f0[i0],E0=b0.length-i0.length,L0=b0.substring(0,E0),O0=hasOwnProperty(S0.prefixes,L0)?S0.prefixes[L0]:void 0;if(O0!==void 0)return{unit:S0,prefix:O0}}return null},{hasher:b0=>b0[0],limit:100});Lr.isValuelessUnit=function(b0){return kc(b0)!==null},Lr.prototype.hasBase=function(b0){if(typeof b0=="string"&&(b0=t0[b0]),!b0)return!1;for(var A0=0;A0<d0.length;A0++)if(Math.abs((this.dimensions[A0]||0)-(b0.dimensions[A0]||0))>1e-12)return!1;return!0},Lr.prototype.equalBase=function(b0){for(var A0=0;A0<d0.length;A0++)if(Math.abs((this.dimensions[A0]||0)-(b0.dimensions[A0]||0))>1e-12)return!1;return!0},Lr.prototype.equals=function(b0){return this.equalBase(b0)&&x(this.value,b0.value)},Lr.prototype.multiply=function(b0){for(var A0=this.clone(),v0=isUnit(b0)?b0:new Lr(b0),i0=0;i0<d0.length;i0++)A0.dimensions[i0]=(this.dimensions[i0]||0)+(v0.dimensions[i0]||0);for(var S0=0;S0<v0.units.length;S0++){var E0=_objectSpread$1({},v0.units[S0]);A0.units.push(E0)}if(this.value!==null||v0.value!==null){var L0=this.value===null?this._normalize(1):this.value,O0=v0.value===null?v0._normalize(1):v0.value;A0.value=l(L0,O0)}else A0.value=null;return isUnit(b0)&&(A0.skipAutomaticSimplification=!1),Jc(A0)},Lr.prototype.divideInto=function(b0){return new Lr(b0).divide(this)},Lr.prototype.divide=function(b0){for(var A0=this.clone(),v0=isUnit(b0)?b0:new Lr(b0),i0=0;i0<d0.length;i0++)A0.dimensions[i0]=(this.dimensions[i0]||0)-(v0.dimensions[i0]||0);for(var S0=0;S0<v0.units.length;S0++){var E0=_objectSpread$1(_objectSpread$1({},v0.units[S0]),{},{power:-v0.units[S0].power});A0.units.push(E0)}if(this.value!==null||v0.value!==null){var L0=this.value===null?this._normalize(1):this.value,O0=v0.value===null?v0._normalize(1):v0.value;A0.value=u(L0,O0)}else A0.value=null;return isUnit(b0)&&(A0.skipAutomaticSimplification=!1),Jc(A0)},Lr.prototype.pow=function(b0){for(var A0=this.clone(),v0=0;v0<d0.length;v0++)A0.dimensions[v0]=(this.dimensions[v0]||0)*b0;for(var i0=0;i0<A0.units.length;i0++)A0.units[i0].power*=b0;return A0.value!==null?A0.value=_(A0.value,b0):A0.value=null,A0.skipAutomaticSimplification=!1,Jc(A0)};function Jc(b0){return b0.equalBase(t0.NONE)&&b0.value!==null&&!r.predictable?b0.value:b0}Lr.prototype.abs=function(){var b0=this.clone();if(b0.value!==null)if(b0._isDerived()||b0.units.length===0||b0.units[0].unit.offset===0)b0.value=m(b0.value);else{var A0=b0._numberConverter(),v0=A0(b0.units[0].unit.value),i0=A0(b0.units[0].unit.offset),S0=l(v0,i0);b0.value=s(m(a(b0.value,S0)),S0)}for(var E0 in b0.units)(b0.units[E0].unit.name==="VA"||b0.units[E0].unit.name==="VAR")&&(b0.units[E0].unit=f0.W);return b0},Lr.prototype.to=function(b0){var A0=this.value===null?this._normalize(1):this.value,v0;if(typeof b0=="string")v0=Lr.parse(b0);else if(isUnit(b0))v0=b0.clone();else throw new Error("String or Unit expected as parameter");if(!this.equalBase(v0))throw new Error("Units do not match ('".concat(v0.toString(),"' != '").concat(this.toString(),"')"));if(v0.value!==null)throw new Error("Cannot convert to a unit with a value");if(this.value===null||this._isDerived()||this.units.length===0||v0.units.length===0||this.units[0].unit.offset===v0.units[0].unit.offset)v0.value=clone$4(A0);else{var 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t.addConversion({from:"string",to:"Node",convert:Lr}),Lr}),name$1r="compile",dependencies$1q=["typed","parse"],createCompile=factory(name$1r,dependencies$1q,n=>{var{typed:t,parse:r}=n;return t(name$1r,{string:function(s){return r(s).compile()},"Array | Matrix":function(s){return deepMap(s,function(l){return r(l).compile()})}})}),name$1q="evaluate",dependencies$1p=["typed","parse"],createEvaluate=factory(name$1q,dependencies$1p,n=>{var{typed:t,parse:r}=n;return t(name$1q,{string:function(s){var l=createEmptyMap();return r(s).compile().evaluate(l)},"string, Map | Object":function(s,l){return r(s).compile().evaluate(l)},"Array | Matrix":function(s){var l=createEmptyMap();return deepMap(s,function(u){return r(u).compile().evaluate(l)})},"Array | Matrix, Map | Object":function(s,l){return deepMap(s,function(u){return r(u).compile().evaluate(l)})}})}),name$1p="Parser",dependencies$1o=["evaluate"],createParserClass=factory(name$1p,dependencies$1o,n=>{var{evaluate:t}=n;function r(){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");Object.defineProperty(this,"scope",{value:createEmptyMap(),writable:!1})}return r.prototype.type="Parser",r.prototype.isParser=!0,r.prototype.evaluate=function(a){return t(a,this.scope)},r.prototype.get=function(a){if(this.scope.has(a))return this.scope.get(a)},r.prototype.getAll=function(){return toObject(this.scope)},r.prototype.getAllAsMap=function(){return this.scope},r.prototype.set=function(a,s){return this.scope.set(a,s),s},r.prototype.remove=function(a){this.scope.delete(a)},r.prototype.clear=function(){this.scope.clear()},r},{isClass:!0}),name$1o="parser",dependencies$1n=["typed","Parser"],createParser=factory(name$1o,dependencies$1n,n=>{var{typed:t,Parser:r}=n;return t(name$1o,{"":function(){return new r}})}),name$1n="lup",dependencies$1m=["typed","matrix","abs","addScalar","divideScalar","multiplyScalar","subtractScalar","larger","equalScalar","unaryMinus","DenseMatrix","SparseMatrix","Spa"],createLup=factory(name$1n,dependencies$1m,n=>{var{typed:t,matrix:r,abs:a,addScalar:s,divideScalar:l,multiplyScalar:u,subtractScalar:_,larger:m,equalScalar:g,unaryMinus:f,DenseMatrix:x,SparseMatrix:w,Spa:Z}=n;return t(name$1n,{DenseMatrix:function(Ie){return Ce(Ie)},SparseMatrix:function(Ie){return ne(Ie)},Array:function(Ie){var Dt=r(Ie),Lr=Ce(Dt);return{L:Lr.L.valueOf(),U:Lr.U.valueOf(),p:Lr.p}}});function Ce($e){var Ie=$e._size[0],Dt=$e._size[1],Lr=Math.min(Ie,Dt),ec=clone$4($e._data),ys=[],tc=[Ie,Lr],nc=[],ac=[Lr,Dt],sc,cc,uc,lc=[];for(sc=0;sc<Ie;sc++)lc[sc]=sc;for(cc=0;cc<Dt;cc++){if(cc>0)for(sc=0;sc<Ie;sc++){var e0=Math.min(sc,cc),dc=0;for(uc=0;uc<e0;uc++)dc=s(dc,u(ec[sc][uc],ec[uc][cc]));ec[sc][cc]=_(ec[sc][cc],dc)}var kc=cc,Jc=0,n0=0;for(sc=cc;sc<Ie;sc++){var d0=ec[sc][cc],t0=a(d0);m(t0,Jc)&&(kc=sc,Jc=t0,n0=d0)}if(cc!==kc&&(lc[cc]=[lc[kc],lc[kc]=lc[cc]][0],x._swapRows(cc,kc,ec)),cc<Ie)for(sc=cc+1;sc<Ie;sc++){var h0=ec[sc][cc];g(h0,0)||(ec[sc][cc]=l(ec[sc][cc],n0))}}for(cc=0;cc<Dt;cc++)for(sc=0;sc<Ie;sc++){if(cc===0&&(sc<Dt&&(nc[sc]=[]),ys[sc]=[]),sc<cc){sc<Dt&&(nc[sc][cc]=ec[sc][cc]),cc<Ie&&(ys[sc][cc]=0);continue}if(sc===cc){sc<Dt&&(nc[sc][cc]=ec[sc][cc]),cc<Ie&&(ys[sc][cc]=1);continue}sc<Dt&&(nc[sc][cc]=0),cc<Ie&&(ys[sc][cc]=ec[sc][cc])}var _0=new x({data:ys,size:tc}),c0=new x({data:nc,size:ac}),f0=[];for(sc=0,Lr=lc.length;sc<Lr;sc++)f0[lc[sc]]=sc;return{L:_0,U:c0,p:f0,toString:function(){return"L: "+this.L.toString()+`
U: `+this.U.toString()+`
P: `+this.p}}}function ne($e){var Ie=$e._size[0],Dt=$e._size[1],Lr=Math.min(Ie,Dt),ec=$e._values,ys=$e._index,tc=$e._ptr,nc=[],ac=[],sc=[],cc=[Ie,Lr],uc=[],lc=[],e0=[],dc=[Lr,Dt],kc,Jc,n0,d0=[],t0=[];for(kc=0;kc<Ie;kc++)d0[kc]=kc,t0[kc]=kc;var h0=function(f0,q0){var D0=t0[f0],$0=t0[q0];d0[D0]=q0,d0[$0]=f0,t0[f0]=$0,t0[q0]=D0},_0=function(){var f0=new Z;Jc<Ie&&(sc.push(nc.length),nc.push(1),ac.push(Jc)),e0.push(uc.length);var q0=tc[Jc],D0=tc[Jc+1];for(n0=q0;n0<D0;n0++)kc=ys[n0],f0.set(d0[kc],ec[n0]);Jc>0&&f0.forEach(0,Jc-1,function(C0,I0){w._forEachRow(C0,nc,ac,sc,function(Y0,K0){Y0>C0&&f0.accumulate(Y0,f(u(K0,I0)))})});var $0=Jc,k0=f0.get(Jc),R0=a(k0);f0.forEach(Jc+1,Ie-1,function(C0,I0){var Y0=a(I0);m(Y0,R0)&&($0=C0,R0=Y0,k0=I0)}),Jc!==$0&&(w._swapRows(Jc,$0,cc[1],nc,ac,sc),w._swapRows(Jc,$0,dc[1],uc,lc,e0),f0.swap(Jc,$0),h0(Jc,$0)),f0.forEach(0,Ie-1,function(C0,I0){C0<=Jc?(uc.push(I0),lc.push(C0)):(I0=l(I0,k0),g(I0,0)||(nc.push(I0),ac.push(C0)))})};for(Jc=0;Jc<Dt;Jc++)_0();return e0.push(uc.length),sc.push(nc.length),{L:new w({values:nc,index:ac,ptr:sc,size:cc}),U:new w({values:uc,index:lc,ptr:e0,size:dc}),p:d0,toString:function(){return"L: "+this.L.toString()+`
U: `+this.U.toString()+`
P: `+this.p}}}}),name$1m="qr",dependencies$1l=["typed","matrix","zeros","identity","isZero","equal","sign","sqrt","conj","unaryMinus","addScalar","divideScalar","multiplyScalar","subtractScalar","complex"],createQr=factory(name$1m,dependencies$1l,n=>{var{typed:t,matrix:r,zeros:a,identity:s,isZero:l,equal:u,sign:_,sqrt:m,conj:g,unaryMinus:f,addScalar:x,divideScalar:w,multiplyScalar:Z,subtractScalar:Ce,complex:ne}=n;return _extends$2(t(name$1m,{DenseMatrix:function(ec){return Ie(ec)},SparseMatrix:function(ec){return Dt()},Array:function(ec){var ys=r(ec),tc=Ie(ys);return{Q:tc.Q.valueOf(),R:tc.R.valueOf()}}}),{_denseQRimpl:$e});function $e(Lr){var ec=Lr._size[0],ys=Lr._size[1],tc=s([ec],"dense"),nc=tc._data,ac=Lr.clone(),sc=ac._data,cc,uc,lc,e0=a([ec],"");for(lc=0;lc<Math.min(ys,ec);++lc){var dc=sc[lc][lc],kc=f(u(dc,0)?1:_(dc)),Jc=g(kc),n0=0;for(cc=lc;cc<ec;cc++)n0=x(n0,Z(sc[cc][lc],g(sc[cc][lc])));var d0=Z(kc,m(n0));if(!l(d0)){var t0=Ce(dc,d0);for(e0[lc]=1,cc=lc+1;cc<ec;cc++)e0[cc]=w(sc[cc][lc],t0);var h0=f(g(w(t0,d0))),_0=void 0;for(uc=lc;uc<ys;uc++){for(_0=0,cc=lc;cc<ec;cc++)_0=x(_0,Z(g(e0[cc]),sc[cc][uc]));for(_0=Z(_0,h0),cc=lc;cc<ec;cc++)sc[cc][uc]=Z(Ce(sc[cc][uc],Z(e0[cc],_0)),Jc)}for(cc=0;cc<ec;cc++){for(_0=0,uc=lc;uc<ec;uc++)_0=x(_0,Z(nc[cc][uc],e0[uc]));for(_0=Z(_0,h0),uc=lc;uc<ec;++uc)nc[cc][uc]=w(Ce(nc[cc][uc],Z(_0,g(e0[uc]))),Jc)}}}return{Q:tc,R:ac,toString:function(){return"Q: "+this.Q.toString()+`
R: `+this.R.toString()}}}function Ie(Lr){var ec=$e(Lr),ys=ec.R._data;if(Lr._data.length>0)for(var tc=ys[0][0].type==="Complex"?ne(0):0,nc=0;nc<ys.length;++nc)for(var ac=0;ac<nc&&ac<(ys[0]||[]).length;++ac)ys[nc][ac]=tc;return ec}function Dt(Lr){throw new Error("qr not implemented for sparse matrices yet")}});function csPermute(n,t,r,a){for(var s=n._values,l=n._index,u=n._ptr,_=n._size,m=n._datatype,g=_[0],f=_[1],x=a&&n._values?[]:null,w=[],Z=[],Ce=0,ne=0;ne<f;ne++){Z[ne]=Ce;for(var $e=r?r[ne]:ne,Ie=u[$e],Dt=u[$e+1],Lr=Ie;Lr<Dt;Lr++){var ec=t?t[l[Lr]]:l[Lr];w[Ce]=ec,x&&(x[Ce]=s[Lr]),Ce++}}return Z[f]=Ce,n.createSparseMatrix({values:x,index:w,ptr:Z,size:[g,f],datatype:m})}function csTdfs(n,t,r,a,s,l,u){var _=0;for(r[u]=n;_>=0;){var m=r[u+_],g=r[a+m];g===-1?(_--,l[t++]=m):(r[a+m]=r[s+g],++_,r[u+_]=g)}return t}function csPost(n,t){if(!n)return null;var r=0,a,s=[],l=[],u=0,_=t,m=2*t;for(a=0;a<t;a++)l[u+a]=-1;for(a=t-1;a>=0;a--)n[a]!==-1&&(l[_+a]=l[u+n[a]],l[u+n[a]]=a);for(a=0;a<t;a++)n[a]===-1&&(r=csTdfs(a,r,l,u,_,s,m));return s}function csEtree(n,t){if(!n)return null;var r=n._index,a=n._ptr,s=n._size,l=s[0],u=s[1],_=[],m=[],g=0,f=u,x,w;if(t)for(x=0;x<l;x++)m[f+x]=-1;for(var Z=0;Z<u;Z++){_[Z]=-1,m[g+Z]=-1;for(var Ce=a[Z],ne=a[Z+1],$e=Ce;$e<ne;$e++){var Ie=r[$e];for(x=t?m[f+Ie]:Ie;x!==-1&&x<Z;x=w)w=m[g+x],m[g+x]=Z,w===-1&&(_[x]=Z);t&&(m[f+Ie]=Z)}}return _}function csFkeep(n,t,r){for(var a=n._values,s=n._index,l=n._ptr,u=n._size,_=u[1],m=0,g=0;g<_;g++){var f=l[g];for(l[g]=m;f<l[g+1];f++)t(s[f],g,a?a[f]:1,r)&&(s[m]=s[f],a&&(a[m]=a[f]),m++)}return l[_]=m,s.splice(m,s.length-m),a&&a.splice(m,a.length-m),m}function csFlip(n){return-n-2}var name$1l="csAmd",dependencies$1k=["add","multiply","transpose"],createCsAmd=factory(name$1l,dependencies$1k,n=>{var{add:t,multiply:r,transpose:a}=n;return function(f,x){if(!x||f<=0||f>3)return null;var w=x._size,Z=w[0],Ce=w[1],ne=0,$e=Math.max(16,10*Math.sqrt(Ce));$e=Math.min(Ce-2,$e);var Ie=s(f,x,Z,Ce,$e);csFkeep(Ie,m,null);for(var Dt=Ie._index,Lr=Ie._ptr,ec=Lr[Ce],ys=[],tc=[],nc=0,ac=Ce+1,sc=2*(Ce+1),cc=3*(Ce+1),uc=4*(Ce+1),lc=5*(Ce+1),e0=6*(Ce+1),dc=7*(Ce+1),kc=ys,Jc=l(Ce,Lr,tc,nc,cc,kc,sc,dc,ac,e0,uc,lc),n0=u(Ce,Lr,tc,lc,uc,e0,$e,ac,cc,kc,sc),d0=0,t0,h0,_0,c0,f0,q0,D0,$0,k0,R0,C0,I0,Y0,K0,W0,r0;n0<Ce;){for(_0=-1;d0<Ce&&(_0=tc[cc+d0])===-1;d0++);tc[sc+_0]!==-1&&(kc[tc[sc+_0]]=-1),tc[cc+d0]=tc[sc+_0];var b0=tc[uc+_0],A0=tc[ac+_0];n0+=A0;var v0=0;tc[ac+_0]=-A0;var i0=Lr[_0],S0=b0===0?i0:ec,E0=S0;for(c0=1;c0<=b0+1;c0++){for(c0>b0?(q0=_0,D0=i0,$0=tc[nc+_0]-b0):(q0=Dt[i0++],D0=Lr[q0],$0=tc[nc+q0]),f0=1;f0<=$0;f0++)t0=Dt[D0++],!((k0=tc[ac+t0])<=0)&&(v0+=k0,tc[ac+t0]=-k0,Dt[E0++]=t0,tc[sc+t0]!==-1&&(kc[tc[sc+t0]]=kc[t0]),kc[t0]!==-1?tc[sc+kc[t0]]=tc[sc+t0]:tc[cc+tc[lc+t0]]=tc[sc+t0]);q0!==_0&&(Lr[q0]=csFlip(_0),tc[e0+q0]=0)}for(b0!==0&&(ec=E0),tc[lc+_0]=v0,Lr[_0]=S0,tc[nc+_0]=E0-S0,tc[uc+_0]=-2,Jc=_(Jc,ne,tc,e0,Ce),R0=S0;R0<E0;R0++)if(t0=Dt[R0],!((C0=tc[uc+t0])<=0)){k0=-tc[ac+t0];var L0=Jc-k0;for(i0=Lr[t0],I0=Lr[t0]+C0-1;i0<=I0;i0++)q0=Dt[i0],tc[e0+q0]>=Jc?tc[e0+q0]-=k0:tc[e0+q0]!==0&&(tc[e0+q0]=tc[lc+q0]+L0)}for(R0=S0;R0<E0;R0++){for(t0=Dt[R0],I0=Lr[t0],Y0=I0+tc[uc+t0]-1,K0=I0,W0=0,r0=0,i0=I0;i0<=Y0;i0++)if(q0=Dt[i0],tc[e0+q0]!==0){var O0=tc[e0+q0]-Jc;O0>0?(r0+=O0,Dt[K0++]=q0,W0+=q0):(Lr[q0]=csFlip(_0),tc[e0+q0]=0)}tc[uc+t0]=K0-I0+1;var P0=K0,w0=I0+tc[nc+t0];for(i0=Y0+1;i0<w0;i0++){h0=Dt[i0];var U0=tc[ac+h0];U0<=0||(r0+=U0,Dt[K0++]=h0,W0+=h0)}r0===0?(Lr[t0]=csFlip(_0),k0=-tc[ac+t0],v0-=k0,A0+=k0,n0+=k0,tc[ac+t0]=0,tc[uc+t0]=-1):(tc[lc+t0]=Math.min(tc[lc+t0],r0),Dt[K0]=Dt[P0],Dt[P0]=Dt[I0],Dt[I0]=_0,tc[nc+t0]=K0-I0+1,W0=(W0<0?-W0:W0)%Ce,tc[sc+t0]=tc[dc+W0],tc[dc+W0]=t0,kc[t0]=W0)}for(tc[lc+_0]=v0,ne=Math.max(ne,v0),Jc=_(Jc+ne,ne,tc,e0,Ce),R0=S0;R0<E0;R0++)if(t0=Dt[R0],!(tc[ac+t0]>=0))for(W0=kc[t0],t0=tc[dc+W0],tc[dc+W0]=-1;t0!==-1&&tc[sc+t0]!==-1;t0=tc[sc+t0],Jc++){for($0=tc[nc+t0],C0=tc[uc+t0],i0=Lr[t0]+1;i0<=Lr[t0]+$0-1;i0++)tc[e0+Dt[i0]]=Jc;var o0=t0;for(h0=tc[sc+t0];h0!==-1;){var x0=tc[nc+h0]===$0&&tc[uc+h0]===C0;for(i0=Lr[h0]+1;x0&&i0<=Lr[h0]+$0-1;i0++)tc[e0+Dt[i0]]!==Jc&&(x0=0);x0?(Lr[h0]=csFlip(t0),tc[ac+t0]+=tc[ac+h0],tc[ac+h0]=0,tc[uc+h0]=-1,h0=tc[sc+h0],tc[sc+o0]=h0):(o0=h0,h0=tc[sc+h0])}}for(i0=S0,R0=S0;R0<E0;R0++)t0=Dt[R0],!((k0=-tc[ac+t0])<=0)&&(tc[ac+t0]=k0,r0=tc[lc+t0]+v0-k0,r0=Math.min(r0,Ce-n0-k0),tc[cc+r0]!==-1&&(kc[tc[cc+r0]]=t0),tc[sc+t0]=tc[cc+r0],kc[t0]=-1,tc[cc+r0]=t0,d0=Math.min(d0,r0),tc[lc+t0]=r0,Dt[i0++]=t0);tc[ac+_0]=A0,(tc[nc+_0]=i0-S0)===0&&(Lr[_0]=-1,tc[e0+_0]=0),b0!==0&&(ec=i0)}for(t0=0;t0<Ce;t0++)Lr[t0]=csFlip(Lr[t0]);for(h0=0;h0<=Ce;h0++)tc[cc+h0]=-1;for(h0=Ce;h0>=0;h0--)tc[ac+h0]>0||(tc[sc+h0]=tc[cc+Lr[h0]],tc[cc+Lr[h0]]=h0);for(q0=Ce;q0>=0;q0--)tc[ac+q0]<=0||Lr[q0]!==-1&&(tc[sc+q0]=tc[cc+Lr[q0]],tc[cc+Lr[q0]]=q0);for(_0=0,t0=0;t0<=Ce;t0++)Lr[t0]===-1&&(_0=csTdfs(t0,_0,tc,cc,sc,ys,e0));return ys.splice(ys.length-1,1),ys};function s(g,f,x,w,Z){var Ce=a(f);if(g===1&&w===x)return t(f,Ce);if(g===2){for(var ne=Ce._index,$e=Ce._ptr,Ie=0,Dt=0;Dt<x;Dt++){var Lr=$e[Dt];if($e[Dt]=Ie,!($e[Dt+1]-Lr>Z))for(var ec=$e[Dt+1];Lr<ec;Lr++)ne[Ie++]=ne[Lr]}return $e[x]=Ie,f=a(Ce),r(Ce,f)}return r(Ce,f)}function l(g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec){for(var ys=0;ys<g;ys++)x[w+ys]=f[ys+1]-f[ys];x[w+g]=0;for(var tc=0;tc<=g;tc++)x[Z+tc]=-1,Ce[tc]=-1,x[ne+tc]=-1,x[$e+tc]=-1,x[Ie+tc]=1,x[Dt+tc]=1,x[Lr+tc]=0,x[ec+tc]=x[w+tc];var nc=_(0,0,x,Dt,g);return x[Lr+g]=-2,f[g]=-1,x[Dt+g]=0,nc}function u(g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr){for(var ec=0,ys=0;ys<g;ys++){var tc=x[w+ys];if(tc===0)x[Z+ys]=-2,ec++,f[ys]=-1,x[Ce+ys]=0;else if(tc>ne)x[$e+ys]=0,x[Z+ys]=-1,ec++,f[ys]=csFlip(g),x[$e+g]++;else{var nc=x[Ie+tc];nc!==-1&&(Dt[nc]=ys),x[Lr+ys]=x[Ie+tc],x[Ie+tc]=ys}}return ec}function _(g,f,x,w,Z){if(g<2||g+f<0){for(var Ce=0;Ce<Z;Ce++)x[w+Ce]!==0&&(x[w+Ce]=1);g=2}return g}function m(g,f){return g!==f}});function csLeaf(n,t,r,a,s,l,u){var _,m,g=0,f;if(n<=t||r[a+t]<=r[s+n])return-1;r[s+n]=r[a+t];var x=r[l+n];if(r[l+n]=t,x===-1)g=1,f=n;else{for(g=2,f=x;f!==r[u+f];f=r[u+f]);for(_=x;_!==f;_=m)m=r[u+_],r[u+_]=f}return{jleaf:g,q:f}}var name$1k="csCounts",dependencies$1j=["transpose"],createCsCounts=factory(name$1k,dependencies$1j,n=>{var{transpose:t}=n;return function(r,a,s,l){if(!r||!a||!s)return null;var u=r._size,_=u[0],m=u[1],g,f,x,w,Z,Ce,ne,$e=4*m+(l?m+_+1:0),Ie=[],Dt=0,Lr=m,ec=2*m,ys=3*m,tc=4*m,nc=5*m+1;for(x=0;x<$e;x++)Ie[x]=-1;var ac=[],sc=t(r),cc=sc._index,uc=sc._ptr;for(x=0;x<m;x++)for(f=s[x],ac[f]=Ie[ys+f]===-1?1:0;f!==-1&&Ie[ys+f]===-1;f=a[f])Ie[ys+f]=x;if(l){for(x=0;x<m;x++)Ie[s[x]]=x;for(g=0;g<_;g++){for(x=m,Ce=uc[g],ne=uc[g+1],Z=Ce;Z<ne;Z++)x=Math.min(x,Ie[cc[Z]]);Ie[nc+g]=Ie[tc+x],Ie[tc+x]=g}}for(g=0;g<m;g++)Ie[Dt+g]=g;for(x=0;x<m;x++){for(f=s[x],a[f]!==-1&&ac[a[f]]--,w=l?Ie[tc+x]:f;w!==-1;w=l?Ie[nc+w]:-1)for(Z=uc[w];Z<uc[w+1];Z++){g=cc[Z];var lc=csLeaf(g,f,Ie,ys,Lr,ec,Dt);lc.jleaf>=1&&ac[f]++,lc.jleaf===2&&ac[lc.q]--}a[f]!==-1&&(Ie[Dt+f]=a[f])}for(f=0;f<m;f++)a[f]!==-1&&(ac[a[f]]+=ac[f]);return ac}}),name$1j="csSqr",dependencies$1i=["add","multiply","transpose"],createCsSqr=factory(name$1j,dependencies$1i,n=>{var{add:t,multiply:r,transpose:a}=n,s=createCsAmd({add:t,multiply:r,transpose:a}),l=createCsCounts({transpose:a});return function(m,g,f){var x=g._ptr,w=g._size,Z=w[1],Ce,ne={};if(ne.q=s(m,g),m&&!ne.q)return null;if(f){var $e=m?csPermute(g,null,ne.q,0):g;ne.parent=csEtree($e,1);var Ie=csPost(ne.parent,Z);if(ne.cp=l($e,ne.parent,Ie,1),$e&&ne.parent&&ne.cp&&u($e,ne))for(ne.unz=0,Ce=0;Ce<Z;Ce++)ne.unz+=ne.cp[Ce]}else ne.unz=4*x[Z]+Z,ne.lnz=ne.unz;return ne};function u(_,m){var g=_._ptr,f=_._index,x=_._size,w=x[0],Z=x[1];m.pinv=[],m.leftmost=[];var Ce=m.parent,ne=m.pinv,$e=m.leftmost,Ie=[],Dt=0,Lr=w,ec=w+Z,ys=w+2*Z,tc,nc,ac,sc,cc;for(nc=0;nc<Z;nc++)Ie[Lr+nc]=-1,Ie[ec+nc]=-1,Ie[ys+nc]=0;for(tc=0;tc<w;tc++)$e[tc]=-1;for(nc=Z-1;nc>=0;nc--)for(sc=g[nc],cc=g[nc+1],ac=sc;ac<cc;ac++)$e[f[ac]]=nc;for(tc=w-1;tc>=0;tc--)ne[tc]=-1,nc=$e[tc],nc!==-1&&(Ie[ys+nc]++===0&&(Ie[ec+nc]=tc),Ie[Dt+tc]=Ie[Lr+nc],Ie[Lr+nc]=tc);for(m.lnz=0,m.m2=w,nc=0;nc<Z;nc++)if(tc=Ie[Lr+nc],m.lnz++,tc<0&&(tc=m.m2++),ne[tc]=nc,!(--ys[nc]<=0)){m.lnz+=Ie[ys+nc];var uc=Ce[nc];uc!==-1&&(Ie[ys+uc]===0&&(Ie[ec+uc]=Ie[ec+nc]),Ie[Dt+Ie[ec+nc]]=Ie[Lr+uc],Ie[Lr+uc]=Ie[Dt+tc],Ie[ys+uc]+=Ie[ys+nc])}for(tc=0;tc<w;tc++)ne[tc]<0&&(ne[tc]=nc++);return!0}});function csMarked(n,t){return n[t]<0}function csMark(n,t){n[t]=csFlip(n[t])}function csUnflip(n){return n<0?csFlip(n):n}function csDfs(n,t,r,a,s){var l=t._index,u=t._ptr,_=t._size,m=_[1],g,f,x,w=0;for(a[0]=n;w>=0;){n=a[w];var Z=s?s[n]:n;csMarked(u,n)||(csMark(u,n),a[m+w]=Z<0?0:csUnflip(u[Z]));var Ce=1;for(f=a[m+w],x=Z<0?0:csUnflip(u[Z+1]);f<x;f++)if(g=l[f],!csMarked(u,g)){a[m+w]=f,a[++w]=g,Ce=0;break}Ce&&(w--,a[--r]=n)}return r}function csReach(n,t,r,a,s){var l=n._ptr,u=n._size,_=t._index,m=t._ptr,g=u[1],f,x,w,Z=g;for(x=m[r],w=m[r+1],f=x;f<w;f++){var Ce=_[f];csMarked(l,Ce)||(Z=csDfs(Ce,n,Z,a,s))}for(f=Z;f<g;f++)csMark(l,a[f]);return Z}var name$1i="csSpsolve",dependencies$1h=["divideScalar","multiply","subtract"],createCsSpsolve=factory(name$1i,dependencies$1h,n=>{var{divideScalar:t,multiply:r,subtract:a}=n;return function(l,u,_,m,g,f,x){var w=l._values,Z=l._index,Ce=l._ptr,ne=l._size,$e=ne[1],Ie=u._values,Dt=u._index,Lr=u._ptr,ec,ys,tc,nc,ac=csReach(l,u,_,m,f);for(ec=ac;ec<$e;ec++)g[m[ec]]=0;for(ys=Lr[_],tc=Lr[_+1],ec=ys;ec<tc;ec++)g[Dt[ec]]=Ie[ec];for(var sc=ac;sc<$e;sc++){var cc=m[sc],uc=f?f[cc]:cc;if(!(uc<0))for(ys=Ce[uc],tc=Ce[uc+1],g[cc]=t(g[cc],w[x?ys:tc-1]),ec=x?ys+1:ys,nc=x?tc:tc-1;ec<nc;ec++){var lc=Z[ec];g[lc]=a(g[lc],r(w[ec],g[cc]))}}return 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_0=e0[d0];for(nc[Ie]=kc,tc[Ie++]=_0,cc[d0]=kc,Lr[$e]=d0,Dt[$e++]=1,lc=n0;lc<Ce;lc++)uc=dc[lc],cc[uc]<0&&(Lr[$e]=uc,Dt[$e++]=r(e0[uc],_0)),e0[uc]=0}for(ec[Ce]=$e,ac[Ce]=Ie,lc=0;lc<$e;lc++)Lr[lc]=cc[Lr[lc]];return Dt.splice($e,Dt.length-$e),Lr.splice($e,Lr.length-$e),tc.splice(Ie,tc.length-Ie),nc.splice(Ie,nc.length-Ie),{L:ys,U:sc,pinv:cc}}}),name$1g="slu",dependencies$1f=["typed","abs","add","multiply","transpose","divideScalar","subtract","larger","largerEq","SparseMatrix"],createSlu=factory(name$1g,dependencies$1f,n=>{var{typed:t,abs:r,add:a,multiply:s,transpose:l,divideScalar:u,subtract:_,larger:m,largerEq:g,SparseMatrix:f}=n,x=createCsSqr({add:a,multiply:s,transpose:l}),w=createCsLu({abs:r,divideScalar:u,multiply:s,subtract:_,larger:m,largerEq:g,SparseMatrix:f});return t(name$1g,{"SparseMatrix, number, number":function(Ce,ne,$e){if(!isInteger$1(ne)||ne<0||ne>3)throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]");if($e<0||$e>1)throw new Error("Partial pivoting threshold must be a number from 0 to 1");var Ie=x(ne,Ce,!1),Dt=w(Ce,Ie,$e);return{L:Dt.L,U:Dt.U,p:Dt.pinv,q:Ie.q,toString:function(){return"L: "+this.L.toString()+`
U: `+this.U.toString()+`
p: `+this.p.toString()+(this.q?`
q: `+this.q.toString():"")+`
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A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]},InfinityDocs={name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]},LN10Docs={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]},LN2Docs={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]},LOG10EDocs={name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]},LOG2EDocs={name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]},NaNDocs={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]},nullDocs={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]},phiDocs={name:"phi",category:"Constants",syntax:["phi"],description:"Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...",examples:["phi"],seealso:[]},piDocs={name:"pi",category:"Constants",syntax:["pi"],description:"The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159",examples:["pi","sin(pi/2)"],seealso:["tau"]},SQRT12Docs={name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]},SQRT2Docs={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]},tauDocs={name:"tau",category:"Constants",syntax:["tau"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]},trueDocs={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]},versionDocs={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]},bignumberDocs={name:"bignumber",category:"Construction",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]},booleanDocs={name:"boolean",category:"Construction",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]},complexDocs={name:"complex",category:"Construction",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]},createUnitDocs={name:"createUnit",category:"Construction",syntax:["createUnit(definitions)","createUnit(name, definition)"],description:"Create a user-defined unit and register it with the Unit type.",examples:['createUnit("foo")','createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})','createUnit("mph", "1 mile/hour")'],seealso:["unit","splitUnit"]},fractionDocs={name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(matrix)","fraction(num,den)","fraction({n: num, d: den})"],description:"Create a fraction from a number or from integer numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)","fraction({n: 333, d: 53})","fraction([sqrt(9), sqrt(10), sqrt(11)])"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]},indexDocs={name:"index",category:"Construction",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[1:2, 1:2] = 1","B = [1, 2, 3]","B[B>1 and B<3]"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]},matrixDocs={name:"matrix",category:"Construction",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]},numberDocs={name:"number",category:"Construction",syntax:["x","number(x)","number(unit, valuelessUnit)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number(unit("52cm"), "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]},sparseDocs={name:"sparse",category:"Construction",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]},splitUnitDocs={name:"splitUnit",category:"Construction",syntax:["splitUnit(unit: Unit, parts: Unit[])"],description:"Split a unit in an array of units whose sum is equal to the original unit.",examples:['splitUnit(1 m, ["feet", "inch"])'],seealso:["unit","createUnit"]},stringDocs={name:"string",category:"Construction",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]},unitDocs={name:"unit",category:"Construction",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]},configDocs={name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]},importDocs={name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]},typedDocs={name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number": f(x)=x+x, "string": f(x)=concat(x,x) })',"double(2)",'double("hello")'],seealso:[]},derivativeDocs={name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]},leafCountDocs={name:"leafCount",category:"Algebra",syntax:["leafCount(expr)"],description:"Computes the number of leaves in the parse tree of the given expression",examples:['leafCount("e^(i*pi)-1")','leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'],seealso:["simplify"]},lsolveDocs={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolveAll","lup","lusolve","usolve","matrix","sparse"]},lsolveAllDocs={name:"lsolveAll",category:"Algebra",syntax:["x=lsolveAll(L, b)"],description:"Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolve","lup","lusolve","usolve","matrix","sparse"]},lupDocs={name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]},lusolveDocs={name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]},polynomialRootDocs={name:"polynomialRoot",category:"Algebra",syntax:["x=polynomialRoot(-6, 3)","x=polynomialRoot(4, -4, 1)","x=polynomialRoot(-8, 12, -6, 1)"],description:"Finds the roots of a univariate polynomial given by its coefficients starting from constant, linear, and so on, increasing in degree.",examples:["a = polynomialRoot(-6, 11, -6, 1)"],seealso:["cbrt","sqrt"]},qrDocs={name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])"],seealso:["lup","slu","matrix"]},rationalizeDocs={name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]},resolveDocs={name:"resolve",category:"Algebra",syntax:["resolve(node, scope)"],description:"Recursively substitute variables in an expression tree.",examples:['resolve(parse("1 + x"), { x: 7 })','resolve(parse("size(text)"), { text: "Hello World" })','resolve(parse("x + y"), { x: parse("3z") })','resolve(parse("3x"), { x: parse("y+z"), z: parse("w^y") })'],seealso:["simplify","evaluate"],mayThrow:["ReferenceError"]},simplifyDocs={name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.evaluate({x: 2})"],seealso:["simplifyCore","derivative","evaluate","parse","rationalize","resolve"]},simplifyConstantDocs={name:"simplifyConstant",category:"Algebra",syntax:["simplifyConstant(expr)","simplifyConstant(expr, options)"],description:"Replace constant subexpressions of node with their values.",examples:['simplifyConstant("(3-3)*x")','simplifyConstant(parse("z-cos(tau/8)"))'],seealso:["simplify","simplifyCore","evaluate"]},simplifyCoreDocs={name:"simplifyCore",category:"Algebra",syntax:["simplifyCore(node)"],description:"Perform simple one-pass simplifications on an expression tree.",examples:['simplifyCore(parse("0*x"))','simplifyCore(parse("(x+0)*2"))'],seealso:["simplify","simplifyConstant","evaluate"]},sluDocs={name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]},symbolicEqualDocs={name:"symbolicEqual",category:"Algebra",syntax:["symbolicEqual(expr1, expr2)","symbolicEqual(expr1, expr2, options)"],description:"Returns true if the difference of the expressions simplifies to 0",examples:['symbolicEqual("x*y","y*x")','symbolicEqual("abs(x^2)", "x^2")','symbolicEqual("abs(x)", "x", {context: {abs: {trivial: true}}})'],seealso:["simplify","evaluate"]},usolveDocs={name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolveAll","lup","lusolve","lsolve","matrix","sparse"]},usolveAllDocs={name:"usolveAll",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolve","lup","lusolve","lsolve","matrix","sparse"]},absDocs={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]},addDocs={name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]},cbrtDocs={name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]},ceilDocs={name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]},cubeDocs={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]},divideDocs={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]},dotDivideDocs={name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]},dotMultiplyDocs={name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]},dotPowDocs={name:"dotPow",category:"Operators",syntax:["x .^ y","dotPow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]},expDocs={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["expm","expm1","pow","log"]},expmDocs={name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]},expm1Docs={name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]},fixDocs={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]},floorDocs={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]},gcdDocs={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]},hypotDocs={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]},invmodDocs={name:"invmod",category:"Arithmetic",syntax:["invmod(a, b)"],description:"Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation ax ≣ 1 (mod b)",examples:["invmod(8, 12)","invmod(7, 13)","invmod(15151, 15122)"],seealso:["gcd","xgcd"]},lcmDocs={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]},logDocs={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]},log10Docs={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]},log1pDocs={name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]},log2Docs={name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]},modDocs={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]},multiplyDocs={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]},normDocs={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']},nthRootDocs={name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]},nthRootsDocs={name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]},powDocs={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)","pow([[1, 2], [4, 3]], 2)","pow([[1, 2], [4, 3]], -1)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]},roundDocs={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)","round(unit, valuelessUnit)","round(unit, n, valuelessUnit)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)","round(3.241cm, 2, cm)","round([3.2, 3.8, -4.7])"],seealso:["ceil","floor","fix"]},signDocs={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]},sqrtDocs={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]},sqrtmDocs={name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[33, 24], [48, 57]])"],seealso:["sqrt","abs","square","multiply"]},sylvesterDocs={name:"sylvester",category:"Algebra",syntax:["sylvester(A,B,C)"],description:"Solves the real-valued Sylvester equation AX+XB=C for X",examples:["sylvester([[-1, -2], [1, 1]], [[-2, 1], [-1, 2]], [[-3, 2], [3, 0]])","A = [[-1, -2], [1, 1]]; B = [[2, -1], [1, -2]]; C = [[-3, 2], [3, 0]]","sylvester(A, B, C)"],seealso:["schur","lyap"]},schurDocs={name:"schur",category:"Algebra",syntax:["schur(A)"],description:"Performs a real Schur decomposition of the real matrix A = UTU'",examples:["schur([[1, 0], [-4, 3]])","A = [[1, 0], [-4, 3]]","schur(A)"],seealso:["lyap","sylvester"]},lyapDocs={name:"lyap",category:"Algebra",syntax:["lyap(A,Q)"],description:"Solves the Continuous-time Lyapunov equation AP+PA'+Q=0 for P",examples:["lyap([[-2, 0], [1, -4]], [[3, 1], [1, 3]])","A = [[-2, 0], [1, -4]]","Q = [[3, 1], [1, 3]]","lyap(A,Q)"],seealso:["schur","sylvester"]},squareDocs={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]},subtractDocs={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]},unaryMinusDocs={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]},unaryPlusDocs={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]},xgcdDocs={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]},bitAndDocs={name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitNotDocs={name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitOrDocs={name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]},bitXorDocs={name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]},leftShiftDocs={name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]},rightArithShiftDocs={name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]},rightLogShiftDocs={name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]},bellNumbersDocs={name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]},catalanDocs={name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]},compositionDocs={name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]},stirlingS2Docs={name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]},argDocs={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]},conjDocs={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]},imDocs={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]},reDocs={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]},evaluateDocs={name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate(expression, scope)","evaluate([expr1, expr2, expr3, ...])","evaluate([expr1, expr2, expr3, ...], scope)"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(16)")','evaluate("2 inch to cm")','evaluate("sin(x * pi)", { "x": 1/2 })','evaluate(["width=2", "height=4","width*height"])'],seealso:[]},helpDocs={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]},distanceDocs={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2]])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]},intersectDocs={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]},andDocs={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]},notDocs={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]},orDocs={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]},xorDocs={name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]},columnDocs={name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row","matrixFromColumns"]},concatDocs={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},countDocs={name:"count",category:"Matrix",syntax:["count(x)"],description:"Count the number of elements of a matrix, array or string.",examples:["a = [1, 2; 3, 4; 5, 6]","count(a)","size(a)",'count("hello world")'],seealso:["size"]},crossDocs={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]},ctransposeDocs={name:"ctranspose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},detDocs={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},diagDocs={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},diffDocs={name:"diff",category:"Matrix",syntax:["diff(arr)","diff(arr, dim)"],description:["Create a new matrix or array with the difference of the passed matrix or array.","Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference","If no dimension parameter is passed it is assumed as dimension 0","Dimension is zero-based in javascript and one-based in the parser","Arrays must be 'rectangular' meaning arrays like [1, 2]","If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"],examples:["A = [1, 2, 4, 7, 0]","diff(A)","diff(A, 1)","B = [[1, 2], [3, 4]]","diff(B)","diff(B, 1)","diff(B, 2)","diff(B, bignumber(2))","diff([[1, 2], matrix([3, 4])], 2)"],seealso:["subtract","partitionSelect"]},dotDocs={name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]},eigsDocs={name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and optionally eigenvectors of a square matrix",examples:["eigs([[5, 2.3], [2.3, 1]])","eigs([[1, 2, 3], [4, 5, 6], [7, 8, 9]], { precision: 1e-6, eigenvectors: false })"],seealso:["inv"]},filterDocs={name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]},flattenDocs={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]},forEachDocs={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["numberOfPets = {}","addPet(n) = numberOfPets[n] = (numberOfPets[n] ? numberOfPets[n]:0 ) + 1;",'forEach(["Dog","Cat","Cat"], addPet)',"numberOfPets"],seealso:["map","sort","filter"]},getMatrixDataTypeDocs={name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeOf"]},identityDocs={name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},invDocs={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]},pinvDocs={name:"pinv",category:"Matrix",syntax:["pinv(x)"],description:"Calculate the Moore–Penrose inverse of a matrix",examples:["pinv([1, 2; 3, 4])","pinv([[1, 0], [0, 1], [0, 1]])","pinv(4)"],seealso:["inv"]},kronDocs={name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]},mapDocs={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]},matrixFromColumnsDocs={name:"matrixFromColumns",category:"Matrix",syntax:["matrixFromColumns(...arr)","matrixFromColumns(row1, row2)","matrixFromColumns(row1, row2, row3)"],description:"Create a dense matrix from vectors as individual columns.",examples:["matrixFromColumns([1, 2, 3], [[4],[5],[6]])"],seealso:["matrix","matrixFromRows","matrixFromFunction","zeros"]},matrixFromFunctionDocs={name:"matrixFromFunction",category:"Matrix",syntax:["matrixFromFunction(size, fn)","matrixFromFunction(size, fn, format)","matrixFromFunction(size, fn, format, datatype)","matrixFromFunction(size, format, fn)","matrixFromFunction(size, format, datatype, fn)"],description:"Create a matrix by evaluating a generating function at each index.",examples:["f(I) = I[1] - I[2]","matrixFromFunction([3,3], f)","g(I) = I[1] - I[2] == 1 ? 4 : 0",'matrixFromFunction([100, 100], "sparse", g)',"matrixFromFunction([5], random)"],seealso:["matrix","matrixFromRows","matrixFromColumns","zeros"]},matrixFromRowsDocs={name:"matrixFromRows",category:"Matrix",syntax:["matrixFromRows(...arr)","matrixFromRows(row1, row2)","matrixFromRows(row1, row2, row3)"],description:"Create a dense matrix from vectors as individual rows.",examples:["matrixFromRows([1, 2, 3], [[4],[5],[6]])"],seealso:["matrix","matrixFromColumns","matrixFromFunction","zeros"]},onesDocs={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]},partitionSelectDocs={name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1, compareText)',"arr = [5, 2, 1]","partitionSelect(arr, 0) # returns 1, arr is now: [1, 2, 5]","arr","partitionSelect(arr, 1, 'desc') # returns 2, arr is now: [5, 2, 1]","arr"],seealso:["sort"]},rangeDocs={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"range(1m, 1m, 3m)","a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]},reshapeDocs={name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])","reshape([1, 2, 3, 4], [-1, 2])"],seealso:["size","squeeze","resize"]},resizeDocs={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]},rotateDocs={name:"rotate",category:"Matrix",syntax:["rotate(w, theta)","rotate(w, theta, v)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotate([1, 0], pi / 2)",'rotate(matrix([1, 0]), unit("35deg"))','rotate([1, 0, 0], unit("90deg"), [0, 0, 1])','rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'],seealso:["matrix","rotationMatrix"]},rotationMatrixDocs={name:"rotationMatrix",category:"Matrix",syntax:["rotationMatrix(theta)","rotationMatrix(theta, v)","rotationMatrix(theta, v, format)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotationMatrix(pi / 2)",'rotationMatrix(unit("45deg"), [0, 0, 1])','rotationMatrix(1, matrix([0, 0, 1]), "sparse")'],seealso:["cos","sin"]},rowDocs={name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column","matrixFromRows"]},sizeDocs={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","count","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]},sortDocs={name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"], "natural")',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]},squeezeDocs={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]},subsetDocs={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of the entries of a matrix or characters of a string. Indexes are one-based. There should be one index specification for each dimension of the target. Each specification can be a single index, a list of indices, or a range in colon notation `l:u`. In a range, both the lower bound l and upper bound u are included; and if a bound is omitted it defaults to the most extreme valid value. The cartesian product of the indices specified in each dimension determines the target of the operation.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]","f[[1,2], [1,3]] = [9, 10; 11, 12]","f"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]},traceDocs={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]},transposeDocs={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},zerosDocs={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]},fftDocs={name:"fft",category:"Matrix",syntax:["fft(x)"],description:"Calculate N-dimensional fourier transform",examples:["fft([[1, 0], [1, 0]])"],seealso:["ifft"]},ifftDocs={name:"ifft",category:"Matrix",syntax:["ifft(x)"],description:"Calculate N-dimensional inverse fourier transform",examples:["ifft([[2, 2], [0, 0]])"],seealso:["fft"]},combinationsDocs={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["combinationsWithRep","permutations","factorial"]},combinationsWithRepDocs={name:"combinationsWithRep",category:"Probability",syntax:["combinationsWithRep(n, k)"],description:"Compute the number of combinations of n items taken k at a time with replacements.",examples:["combinationsWithRep(7, 5)"],seealso:["combinations","permutations","factorial"]},factorialDocs={name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","combinationsWithRep","permutations","gamma"]},gammaDocs={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]},lgammaDocs={name:"lgamma",category:"Probability",syntax:["lgamma(n)"],description:"Logarithm of the gamma function for real, positive numbers and complex numbers, using Lanczos approximation for numbers and Stirling series for complex numbers.",examples:["lgamma(4)","lgamma(1/2)","lgamma(i)","lgamma(complex(1.1, 2))"],seealso:["gamma"]},kldivergenceDocs={name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]},multinomialDocs={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]},permutationsDocs={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","combinationsWithRep","factorial"]},pickRandomDocs={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]},randomDocs={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]},randomIntDocs={name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]},compareDocs={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]},compareNaturalDocs={name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]},compareTextDocs={name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]},deepEqualDocs={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]},equalDocs={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]},equalTextDocs={name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]},largerDocs={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]},largerEqDocs={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]},smallerDocs={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]},smallerEqDocs={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]},unequalDocs={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]},setCartesianDocs={name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays and the values will be sorted in ascending order before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]},setDifferenceDocs={name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]},setDistinctDocs={name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]},setIntersectDocs={name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]},setIsSubsetDocs={name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]},setMultiplicityDocs={name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]},setPowersetDocs={name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]},setSizeDocs={name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]},setSymDifferenceDocs={name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]},setUnionDocs={name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]},zpk2tfDocs={name:"zpk2tf",category:"Signal",syntax:["zpk2tf(z, p, k)"],description:"Compute the transfer function of a zero-pole-gain model.",examples:["zpk2tf([1, 2], [-1, -2], 1)","zpk2tf([1, 2], [-1, -2])","zpk2tf([1 - 3i, 2 + 2i], [-1, -2])"],seealso:[]},freqzDocs={name:"freqz",category:"Signal",syntax:["freqz(b, a)","freqz(b, a, w)"],description:"Calculates the frequency response of a filter given its numerator and denominator coefficients.",examples:["freqz([1, 2], [1, 2, 3])","freqz([1, 2], [1, 2, 3], [0, 1])","freqz([1, 2], [1, 2, 3], 512)"],seealso:[]},erfDocs={name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]},zetaDocs={name:"zeta",category:"Special",syntax:["zeta(s)"],description:"Compute the Riemann Zeta Function using an infinite series and Riemanns Functional Equation for the entire complex plane",examples:["zeta(0.2)","zeta(-0.5)","zeta(4)"],seealso:[]},madDocs={name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]},maxDocs={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dimension)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","variance"]},meanDocs={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dimension)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","variance"]},medianDocs={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","variance","quantileSeq"]},minDocs={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dimension)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","variance"]},modeDocs={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","variance"]},prodDocs={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","variance"]},quantileSeqDocs={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:`Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. 

In case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.`,examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]},stdDocs={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, dimension)","std(A, normalization)","std(A, dimension, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","prod","sum","variance"]},cumSumDocs={name:"cumsum",category:"Statistics",syntax:["cumsum(a, b, c, ...)","cumsum(A)"],description:"Compute the cumulative sum of all values.",examples:["cumsum(2, 3, 4, 1)","cumsum([2, 3, 4, 1])","cumsum([1, 2; 3, 4])","cumsum([1, 2; 3, 4], 1)","cumsum([1, 2; 3, 4], 2)"],seealso:["max","mean","median","min","prod","std","sum","variance"]},sumDocs={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)","sum(A, dimension)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","variance"]},varianceDocs={name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, dimension)","variance(A, normalization)","variance(A, dimension, normalization)"],description:'Compute the variance of all values. 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I0=ne(c0,R0);if(ec(h0(t0(R0,[I0])),D0))break;if(++C0>=10)return null;R0=_0(I0)}return R0}function d0(c0,f0,q0){var D0=q0==="BigNumber",$0=q0==="Complex",k0=Array(c0).fill(0).map(R0=>2*Math.random()-1);return D0&&(k0=k0.map(R0=>g(R0))),$0&&(k0=k0.map(R0=>Dt(R0))),k0=t0(k0,f0),_0(k0,q0)}function t0(c0,f0){var q0=x(c0);for(var D0 of f0)D0=w(D0,q0),c0=r(c0,s(u(tc(D0,c0),tc(D0,D0)),D0));return c0}function h0(c0){return m(_(tc(c0,c0)))}function _0(c0,f0){var q0=f0==="BigNumber",D0=f0==="Complex",$0=q0?g(1):D0?Dt(1):1;return s(u($0,h0(c0)),c0)}return nc}function createRealSymmetric(n){var{config:t,addScalar:r,subtract:a,abs:s,atan:l,cos:u,sin:_,multiplyScalar:m,inv:g,bignumber:f,multiply:x,add:w}=n;function Z(sc,cc){var uc=arguments.length>2&&arguments[2]!==void 0?arguments[2]:t.epsilon,lc=arguments.length>3?arguments[3]:void 0,e0=arguments.length>4?arguments[4]:void 0;if(lc==="number")return Ce(sc,uc,e0);if(lc==="BigNumber")return ne(sc,uc,e0);throw TypeError("Unsupported data type: "+lc)}function Ce(sc,cc,uc){var lc=sc.length,e0=Math.abs(cc/lc),dc,kc;if(uc){kc=new Array(lc);for(var Jc=0;Jc<lc;Jc++)kc[Jc]=Array(lc).fill(0),kc[Jc][Jc]=1}for(var n0=tc(sc);Math.abs(n0[1])>=Math.abs(e0);){var d0=n0[0][0],t0=n0[0][1];dc=$e(sc[d0][d0],sc[t0][t0],sc[d0][t0]),sc=ys(sc,dc,d0,t0),uc&&(kc=Dt(kc,dc,d0,t0)),n0=tc(sc)}for(var h0=Array(lc).fill(0),_0=0;_0<lc;_0++)h0[_0]=sc[_0][_0];return ac(clone$4(h0),kc,uc)}function ne(sc,cc,uc){var lc=sc.length,e0=s(cc/lc),dc,kc;if(uc){kc=new Array(lc);for(var Jc=0;Jc<lc;Jc++)kc[Jc]=Array(lc).fill(0),kc[Jc][Jc]=1}for(var n0=nc(sc);s(n0[1])>=s(e0);){var d0=n0[0][0],t0=n0[0][1];dc=Ie(sc[d0][d0],sc[t0][t0],sc[d0][t0]),sc=ec(sc,dc,d0,t0),uc&&(kc=Lr(kc,dc,d0,t0)),n0=nc(sc)}for(var h0=Array(lc).fill(0),_0=0;_0<lc;_0++)h0[_0]=sc[_0][_0];return ac(clone$4(h0),kc,uc)}function $e(sc,cc,uc){var lc=cc-sc;return Math.abs(lc)<=t.epsilon?Math.PI/4:.5*Math.atan(2*uc/(cc-sc))}function Ie(sc,cc,uc){var lc=a(cc,sc);return s(lc)<=t.epsilon?f(-1).acos().div(4):m(.5,l(x(2,uc,g(lc))))}function Dt(sc,cc,uc,lc){for(var e0=sc.length,dc=Math.cos(cc),kc=Math.sin(cc),Jc=Array(e0).fill(0),n0=Array(e0).fill(0),d0=0;d0<e0;d0++)Jc[d0]=dc*sc[d0][uc]-kc*sc[d0][lc],n0[d0]=kc*sc[d0][uc]+dc*sc[d0][lc];for(var t0=0;t0<e0;t0++)sc[t0][uc]=Jc[t0],sc[t0][lc]=n0[t0];return sc}function Lr(sc,cc,uc,lc){for(var e0=sc.length,dc=u(cc),kc=_(cc),Jc=Array(e0).fill(f(0)),n0=Array(e0).fill(f(0)),d0=0;d0<e0;d0++)Jc[d0]=a(m(dc,sc[d0][uc]),m(kc,sc[d0][lc])),n0[d0]=r(m(kc,sc[d0][uc]),m(dc,sc[d0][lc]));for(var t0=0;t0<e0;t0++)sc[t0][uc]=Jc[t0],sc[t0][lc]=n0[t0];return sc}function ec(sc,cc,uc,lc){for(var e0=sc.length,dc=f(u(cc)),kc=f(_(cc)),Jc=m(dc,dc),n0=m(kc,kc),d0=Array(e0).fill(f(0)),t0=Array(e0).fill(f(0)),h0=x(f(2),dc,kc,sc[uc][lc]),_0=r(a(m(Jc,sc[uc][uc]),h0),m(n0,sc[lc][lc])),c0=w(m(n0,sc[uc][uc]),h0,m(Jc,sc[lc][lc])),f0=0;f0<e0;f0++)d0[f0]=a(m(dc,sc[uc][f0]),m(kc,sc[lc][f0])),t0[f0]=r(m(kc,sc[uc][f0]),m(dc,sc[lc][f0]));sc[uc][uc]=_0,sc[lc][lc]=c0,sc[uc][lc]=f(0),sc[lc][uc]=f(0);for(var q0=0;q0<e0;q0++)q0!==uc&&q0!==lc&&(sc[uc][q0]=d0[q0],sc[q0][uc]=d0[q0],sc[lc][q0]=t0[q0],sc[q0][lc]=t0[q0]);return sc}function ys(sc,cc,uc,lc){for(var e0=sc.length,dc=Math.cos(cc),kc=Math.sin(cc),Jc=dc*dc,n0=kc*kc,d0=Array(e0).fill(0),t0=Array(e0).fill(0),h0=Jc*sc[uc][uc]-2*dc*kc*sc[uc][lc]+n0*sc[lc][lc],_0=n0*sc[uc][uc]+2*dc*kc*sc[uc][lc]+Jc*sc[lc][lc],c0=0;c0<e0;c0++)d0[c0]=dc*sc[uc][c0]-kc*sc[lc][c0],t0[c0]=kc*sc[uc][c0]+dc*sc[lc][c0];sc[uc][uc]=h0,sc[lc][lc]=_0,sc[uc][lc]=0,sc[lc][uc]=0;for(var f0=0;f0<e0;f0++)f0!==uc&&f0!==lc&&(sc[uc][f0]=d0[f0],sc[f0][uc]=d0[f0],sc[lc][f0]=t0[f0],sc[f0][lc]=t0[f0]);return sc}function tc(sc){for(var cc=sc.length,uc=0,lc=[0,1],e0=0;e0<cc;e0++)for(var dc=e0+1;dc<cc;dc++)Math.abs(uc)<Math.abs(sc[e0][dc])&&(uc=Math.abs(sc[e0][dc]),lc=[e0,dc]);return[lc,uc]}function nc(sc){for(var cc=sc.length,uc=0,lc=[0,1],e0=0;e0<cc;e0++)for(var dc=e0+1;dc<cc;dc++)s(uc)<s(sc[e0][dc])&&(uc=s(sc[e0][dc]),lc=[e0,dc]);return[lc,uc]}function ac(sc,cc,uc){var lc=sc.length,e0=Array(lc),dc;if(uc){dc=Array(lc);for(var kc=0;kc<lc;kc++)dc[kc]=Array(lc)}for(var Jc=0;Jc<lc;Jc++){for(var n0=0,d0=sc[0],t0=0;t0<sc.length;t0++)s(sc[t0])<s(d0)&&(n0=t0,d0=sc[n0]);if(e0[Jc]=sc.splice(n0,1)[0],uc)for(var h0=0;h0<lc;h0++)dc[Jc][h0]=cc[h0][n0],cc[h0].splice(n0,1)}if(!uc)return{values:e0};var _0=dc.map((c0,f0)=>({value:e0[f0],vector:c0}));return{values:e0,eigenvectors:_0}}return Z}var name$16="eigs",dependencies$15=["config","typed","matrix","addScalar","equal","subtract","abs","atan","cos","sin","multiplyScalar","divideScalar","inv","bignumber","multiply","add","larger","column","flatten","number","complex","sqrt","diag","size","reshape","qr","usolve","usolveAll","im","re","smaller","matrixFromColumns","dot"],createEigs=factory(name$16,dependencies$15,n=>{var{config:t,typed:r,matrix:a,addScalar:s,subtract:l,equal:u,abs:_,atan:m,cos:g,sin:f,multiplyScalar:x,divideScalar:w,inv:Z,bignumber:Ce,multiply:ne,add:$e,larger:Ie,column:Dt,flatten:Lr,number:ec,complex:ys,sqrt:tc,diag:nc,size:ac,reshape:sc,qr:cc,usolve:uc,usolveAll:lc,im:e0,re:dc,smaller:kc,matrixFromColumns:Jc,dot:n0}=n,d0=createRealSymmetric({config:t,addScalar:s,subtract:l,column:Dt,flatten:Lr,equal:u,abs:_,atan:m,cos:g,sin:f,multiplyScalar:x,inv:Z,bignumber:Ce,complex:ys,multiply:ne,add:$e}),t0=createComplexEigs({config:t,addScalar:s,subtract:l,multiply:ne,multiplyScalar:x,flatten:Lr,divideScalar:w,sqrt:tc,abs:_,bignumber:Ce,diag:nc,size:ac,reshape:sc,qr:cc,inv:Z,usolve:uc,usolveAll:lc,equal:u,complex:ys,larger:Ie,smaller:kc,matrixFromColumns:Jc,dot:n0});return r("eigs",{Array:function(k0){return h0(a(k0))},"Array, number|BigNumber":function(k0,R0){return h0(a(k0),{precision:R0})},"Array, Object"($0,k0){return h0(a($0),k0)},Matrix:function(k0){return h0(k0,{matricize:!0})},"Matrix, number|BigNumber":function(k0,R0){return h0(k0,{precision:R0,matricize:!0})},"Matrix, Object":function(k0,R0){var C0={matricize:!0};return _extends$2(C0,R0),h0(k0,C0)}});function h0($0){var k0,R0=arguments.length>1&&arguments[1]!==void 0?arguments[1]:{},C0="eigenvectors"in R0?R0.eigenvectors:!0,I0=(k0=R0.precision)!==null&&k0!==void 0?k0:t.epsilon,Y0=_0($0,I0,C0);return R0.matricize&&(Y0.values=a(Y0.values),C0&&(Y0.eigenvectors=Y0.eigenvectors.map(K0=>{var{value:W0,vector:r0}=K0;return{value:W0,vector:a(r0)}}))),C0&&Object.defineProperty(Y0,"vectors",{enumerable:!1,get:()=>{throw new Error("eigs(M).vectors replaced with eigs(M).eigenvectors")}}),Y0}function _0($0,k0,R0){var C0=$0.toArray(),I0=$0.size();if(I0.length!==2||I0[0]!==I0[1])throw new RangeError("Matrix must be square (size: ".concat(format$2(I0),")"));var Y0=I0[0];if(f0(C0,Y0,k0)&&(q0(C0,Y0),c0(C0,Y0,k0))){var K0=D0($0,C0,Y0);return d0(C0,Y0,k0,K0,R0)}var W0=D0($0,C0,Y0);return t0(C0,Y0,k0,W0,R0)}function c0($0,k0,R0){for(var C0=0;C0<k0;C0++)for(var I0=C0;I0<k0;I0++)if(Ie(Ce(_(l($0[C0][I0],$0[I0][C0]))),R0))return!1;return!0}function f0($0,k0,R0){for(var C0=0;C0<k0;C0++)for(var I0=0;I0<k0;I0++)if(Ie(Ce(_(e0($0[C0][I0]))),R0))return!1;return!0}function q0($0,k0){for(var R0=0;R0<k0;R0++)for(var C0=0;C0<k0;C0++)$0[R0][C0]=dc($0[R0][C0])}function D0($0,k0,R0){var C0=$0.datatype();if(C0==="number"||C0==="BigNumber"||C0==="Complex")return C0;for(var I0=!1,Y0=!1,K0=!1,W0=0;W0<R0;W0++)for(var r0=0;r0<R0;r0++){var b0=k0[W0][r0];if(isNumber(b0)||isFraction(b0))I0=!0;else if(isBigNumber(b0))Y0=!0;else if(isComplex(b0))K0=!0;else throw TypeError("Unsupported type in Matrix: "+typeOf$1(b0))}if(Y0&&K0&&console.warn("Complex BigNumbers not supported, this operation will lose precission."),K0){for(var A0=0;A0<R0;A0++)for(var v0=0;v0<R0;v0++)k0[A0][v0]=ys(k0[A0][v0]);return"Complex"}if(Y0){for(var i0=0;i0<R0;i0++)for(var S0=0;S0<R0;S0++)k0[i0][S0]=Ce(k0[i0][S0]);return"BigNumber"}if(I0){for(var E0=0;E0<R0;E0++)for(var L0=0;L0<R0;L0++)k0[E0][L0]=ec(k0[E0][L0]);return"number"}else throw TypeError("Matrix contains unsupported types only.")}}),name$15="expm",dependencies$14=["typed","abs","add","identity","inv","multiply"],createExpm=factory(name$15,dependencies$14,n=>{var{typed:t,abs:r,add:a,identity:s,inv:l,multiply:u}=n;return t(name$15,{Matrix:function(x){var w=x.size();if(w.length!==2||w[0]!==w[1])throw new RangeError("Matrix must be square (size: "+format$2(w)+")");for(var Z=w[0],Ce=1e-15,ne=_(x),$e=m(ne,Ce),Ie=$e.q,Dt=$e.j,Lr=u(x,Math.pow(2,-Dt)),ec=s(Z),ys=s(Z),tc=1,nc=Lr,ac=-1,sc=1;sc<=Ie;sc++)sc>1&&(nc=u(nc,Lr),ac=-ac),tc=tc*(Ie-sc+1)/((2*Ie-sc+1)*sc),ec=a(ec,u(tc,nc)),ys=a(ys,u(tc*ac,nc));for(var cc=u(l(ys),ec),uc=0;uc<Dt;uc++)cc=u(cc,cc);return isSparseMatrix(x)?x.createSparseMatrix(cc):cc}});function _(f){for(var x=f.size()[0],w=0,Z=0;Z<x;Z++){for(var Ce=0,ne=0;ne<x;ne++)Ce+=r(f.get([Z,ne]));w=Math.max(Ce,w)}return w}function m(f,x){for(var w=30,Z=0;Z<w;Z++)for(var Ce=0;Ce<=Z;Ce++){var ne=Z-Ce;if(g(f,Ce,ne)<x)return{q:Ce,j:ne}}throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)")}function g(f,x,w){for(var Z=1,Ce=2;Ce<=x;Ce++)Z*=Ce;for(var ne=Z,$e=x+1;$e<=2*x;$e++)ne*=$e;var Ie=ne*(2*x+1);return 8*Math.pow(f/Math.pow(2,w),2*x)*Z*Z/(ne*Ie)}}),name$14="sqrtm",dependencies$13=["typed","abs","add","multiply","map","sqrt","subtract","inv","size","max","identity"],createSqrtm=factory(name$14,dependencies$13,n=>{var{typed:t,abs:r,add:a,multiply:s,map:l,sqrt:u,subtract:_,inv:m,size:g,max:f,identity:x}=n,w=1e3,Z=1e-6;function Ce(ne){var $e,Ie=0,Dt=ne,Lr=x(g(ne));do{var ec=Dt;if(Dt=s(.5,a(ec,m(Lr))),Lr=s(.5,a(Lr,m(ec))),$e=f(r(_(Dt,ec))),$e>Z&&++Ie>w)throw new Error("computing square root of matrix: iterative method could not converge")}while($e>Z);return Dt}return t(name$14,{"Array | Matrix":function($e){var Ie=isMatrix($e)?$e.size():arraySize($e);switch(Ie.length){case 1:if(Ie[0]===1)return l($e,u);throw new RangeError("Matrix must be square (size: "+format$2(Ie)+")");case 2:{var Dt=Ie[0],Lr=Ie[1];if(Dt===Lr)return Ce($e);throw new RangeError("Matrix must be square (size: "+format$2(Ie)+")")}default:throw new RangeError("Matrix must be at most two dimensional (size: "+format$2(Ie)+")")}}})}),name$13="sylvester",dependencies$12=["typed","schur","matrixFromColumns","matrix","multiply","range","concat","transpose","index","subset","add","subtract","identity","lusolve","abs"],createSylvester=factory(name$13,dependencies$12,n=>{var{typed:t,schur:r,matrixFromColumns:a,matrix:s,multiply:l,range:u,concat:_,transpose:m,index:g,subset:f,add:x,subtract:w,identity:Z,lusolve:Ce,abs:ne}=n;return t(name$13,{"Matrix, Matrix, Matrix":$e,"Array, Matrix, Matrix":function(Dt,Lr,ec){return $e(s(Dt),Lr,ec)},"Array, Array, Matrix":function(Dt,Lr,ec){return $e(s(Dt),s(Lr),ec)},"Array, Matrix, Array":function(Dt,Lr,ec){return $e(s(Dt),Lr,s(ec))},"Matrix, Array, Matrix":function(Dt,Lr,ec){return $e(Dt,s(Lr),ec)},"Matrix, Array, Array":function(Dt,Lr,ec){return $e(Dt,s(Lr),s(ec))},"Matrix, Matrix, Array":function(Dt,Lr,ec){return $e(Dt,Lr,s(ec))},"Array, Array, Array":function(Dt,Lr,ec){return $e(s(Dt),s(Lr),s(ec)).toArray()}});function $e(Ie,Dt,Lr){for(var ec=Dt.size()[0],ys=Ie.size()[0],tc=r(Ie),nc=tc.T,ac=tc.U,sc=r(l(-1,Dt)),cc=sc.T,uc=sc.U,lc=l(l(m(ac),Lr),uc),e0=u(0,ys),dc=[],kc=(K0,W0)=>_(K0,W0,1),Jc=(K0,W0)=>_(K0,W0,0),n0=0;n0<ec;n0++)if(n0<ec-1&&ne(f(cc,g(n0+1,n0)))>1e-5){for(var d0=Jc(f(lc,g(e0,n0)),f(lc,g(e0,n0+1))),t0=0;t0<n0;t0++)d0=x(d0,Jc(l(dc[t0],f(cc,g(t0,n0))),l(dc[t0],f(cc,g(t0,n0+1)))));var h0=l(Z(ys),l(-1,f(cc,g(n0,n0)))),_0=l(Z(ys),l(-1,f(cc,g(n0+1,n0)))),c0=l(Z(ys),l(-1,f(cc,g(n0,n0+1)))),f0=l(Z(ys),l(-1,f(cc,g(n0+1,n0+1)))),q0=Jc(kc(x(nc,h0),_0),kc(c0,x(nc,f0))),D0=Ce(q0,d0);dc[n0]=D0.subset(g(u(0,ys),0)),dc[n0+1]=D0.subset(g(u(ys,2*ys),0)),n0++}else{for(var $0=f(lc,g(e0,n0)),k0=0;k0<n0;k0++)$0=x($0,l(dc[k0],f(cc,g(k0,n0))));var R0=f(cc,g(n0,n0)),C0=w(nc,l(R0,Z(ys)));dc[n0]=Ce(C0,$0)}var I0=s(a(...dc)),Y0=l(ac,l(I0,m(uc)));return Y0}}),name$12="schur",dependencies$11=["typed","matrix","identity","multiply","qr","norm","subtract"],createSchur=factory(name$12,dependencies$11,n=>{var{typed:t,matrix:r,identity:a,multiply:s,qr:l,norm:u,subtract:_}=n;return t(name$12,{Array:function(f){var x=m(r(f));return{U:x.U.valueOf(),T:x.T.valueOf()}},Matrix:function(f){return m(f)}});function m(g){var f=g.size()[0],x=g,w=a(f),Z=0,Ce;do{Ce=x;var ne=l(x),$e=ne.Q,Ie=ne.R;if(x=s(Ie,$e),w=s(w,$e),Z++>100)break}while(u(_(x,Ce))>1e-4);return{U:w,T:x}}}),name$11="lyap",dependencies$10=["typed","matrix","sylvester","multiply","transpose"],createLyap=factory(name$11,dependencies$10,n=>{var{typed:t,matrix:r,sylvester:a,multiply:s,transpose:l}=n;return t(name$11,{"Matrix, Matrix":function(_,m){return a(_,l(_),s(-1,m))},"Array, Matrix":function(_,m){return a(r(_),l(r(_)),s(-1,m))},"Matrix, Array":function(_,m){return a(_,l(r(_)),r(s(-1,m)))},"Array, Array":function(_,m){return a(r(_),l(r(_)),r(s(-1,m))).toArray()}})}),name$10="divide",dependencies$$=["typed","matrix","multiply","equalScalar","divideScalar","inv"],createDivide=factory(name$10,dependencies$$,n=>{var{typed:t,matrix:r,multiply:a,equalScalar:s,divideScalar:l,inv:u}=n,_=createMatAlgo11xS0s({typed:t,equalScalar:s}),m=createMatAlgo14xDs({typed:t});return t("divide",extend$1({"Array | Matrix, Array | Matrix":function(f,x){return a(f,u(x))},"DenseMatrix, any":function(f,x){return m(f,x,l,!1)},"SparseMatrix, any":function(f,x){return _(f,x,l,!1)},"Array, any":function(f,x){return m(r(f),x,l,!1).valueOf()},"any, Array | Matrix":function(f,x){return a(f,u(x))}},l.signatures))}),name$$="distance",dependencies$_=["typed","addScalar","subtractScalar","divideScalar","multiplyScalar","deepEqual","sqrt","abs"],createDistance=factory(name$$,dependencies$_,n=>{var{typed:t,addScalar:r,subtractScalar:a,multiplyScalar:s,divideScalar:l,deepEqual:u,sqrt:_,abs:m}=n;return t(name$$,{"Array, Array, Array":function(ys,tc,nc){if(ys.length===2&&tc.length===2&&nc.length===2){if(!f(ys))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!f(tc))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!f(nc))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");if(u(tc,nc))throw new TypeError("LinePoint1 should not be same with LinePoint2");var 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if(Object.keys(ys).length===2&&Object.keys(tc).length===2){if(!f(ys))throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers");if(!f(tc))throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers");if("pointOneX"in ys&&"pointOneY"in ys&&"pointTwoX"in tc&&"pointTwoY"in tc)return Dt([ys.pointOneX,ys.pointOneY],[tc.pointTwoX,tc.pointTwoY]);throw new TypeError("Key names do not match")}else if(Object.keys(ys).length===3&&Object.keys(tc).length===3){if(!x(ys))throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers");if(!x(tc))throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers");if("pointOneX"in ys&&"pointOneY"in ys&&"pointOneZ"in ys&&"pointTwoX"in tc&&"pointTwoY"in tc&&"pointTwoZ"in tc)return Dt([ys.pointOneX,ys.pointOneY,ys.pointOneZ],[tc.pointTwoX,tc.pointTwoY,tc.pointTwoZ]);throw new TypeError("Key names do not match")}else throw new 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sc=m(r(r(s(tc,ec),s(nc,ys)),ac)),cc=_(r(s(tc,tc),s(nc,nc)));return l(sc,cc)}function Ie(ec,ys,tc,nc,ac,sc,cc,uc,lc){var e0=[a(s(a(ac,ys),lc),s(a(sc,tc),uc)),a(s(a(sc,tc),cc),s(a(nc,ec),lc)),a(s(a(nc,ec),uc),s(a(ac,ys),cc))];e0=_(r(r(s(e0[0],e0[0]),s(e0[1],e0[1])),s(e0[2],e0[2])));var dc=_(r(r(s(cc,cc),s(uc,uc)),s(lc,lc)));return l(e0,dc)}function Dt(ec,ys){for(var tc=ec.length,nc=0,ac=0,sc=0;sc<tc;sc++)ac=a(ec[sc],ys[sc]),nc=r(s(ac,ac),nc);return _(nc)}function Lr(ec){for(var ys=[],tc=[],nc=[],ac=0;ac<ec.length-1;ac++)for(var sc=ac+1;sc<ec.length;sc++)ec[0].length===2?(tc=[ec[ac][0],ec[ac][1]],nc=[ec[sc][0],ec[sc][1]]):ec[0].length===3&&(tc=[ec[ac][0],ec[ac][1],ec[ac][2]],nc=[ec[sc][0],ec[sc][1],ec[sc][2]]),ys.push(Dt(tc,nc));return 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new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument");return ac(cc[0],cc[1],cc[2],uc[0],uc[1],uc[2],lc[0],lc[1],lc[2],e0[0],e0[1],e0[2])}else throw new TypeError("Arrays with two or thee dimensional points expected")}function Dt(cc){return cc.length===1?cc[0]:cc.length>1&&Array.isArray(cc[0])&&cc.every(uc=>Array.isArray(uc)&&uc.length===1)?Z(cc):cc}function Lr(cc){return cc.length===2&&ne(cc[0])&&ne(cc[1])}function ec(cc){return cc.length===3&&ne(cc[0])&&ne(cc[1])&&ne(cc[2])}function ys(cc){return cc.length===4&&ne(cc[0])&&ne(cc[1])&&ne(cc[2])&&ne(cc[3])}function tc(cc,uc,lc,e0){var dc=cc,kc=lc,Jc=f(dc,uc),n0=f(kc,e0),d0=f(m(Jc[0],n0[1]),m(n0[0],Jc[1]));if(Ce(d0)||x(a(d0),r.epsilon))return null;var t0=m(n0[0],dc[1]),h0=m(n0[1],dc[0]),_0=m(n0[0],kc[1]),c0=m(n0[1],kc[0]),f0=g(l(f(f(t0,h0),_0),c0),d0);return s(_(Jc,f0),dc)}function nc(cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0,h0,_0){var c0=m(f(cc,uc),f(lc,e0)),f0=m(f(dc,kc),f(Jc,n0)),q0=m(f(d0,t0),f(h0,_0));return l(l(c0,f0),q0)}function ac(cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0,h0,_0){var c0=nc(cc,Jc,t0,Jc,uc,n0,h0,n0,lc,d0,_0,d0),f0=nc(t0,Jc,e0,cc,h0,n0,dc,uc,_0,d0,kc,lc),q0=nc(cc,Jc,e0,cc,uc,n0,dc,uc,lc,d0,kc,lc),D0=nc(t0,Jc,t0,Jc,h0,n0,h0,n0,_0,d0,_0,d0),$0=nc(e0,cc,e0,cc,dc,uc,dc,uc,kc,lc,kc,lc),k0=f(m(c0,f0),m(q0,D0)),R0=f(m($0,D0),m(f0,f0));if(Ce(R0))return null;var C0=g(k0,R0),I0=g(l(c0,m(C0,f0)),D0),Y0=l(cc,m(C0,f(e0,cc))),K0=l(uc,m(C0,f(dc,uc))),W0=l(lc,m(C0,f(kc,lc))),r0=l(Jc,m(I0,f(t0,Jc))),b0=l(n0,m(I0,f(h0,n0))),A0=l(d0,m(I0,f(_0,d0)));return w(Y0,r0)&&w(K0,b0)&&w(W0,A0)?[Y0,K0,W0]:null}function sc(cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0){var h0=m(cc,Jc),_0=m(e0,Jc),c0=m(uc,n0),f0=m(dc,n0),q0=m(lc,d0),D0=m(kc,d0),$0=f(f(f(t0,h0),c0),q0),k0=f(f(f(l(l(_0,f0),D0),h0),c0),q0),R0=g($0,k0),C0=l(cc,m(R0,f(e0,cc))),I0=l(uc,m(R0,f(dc,uc))),Y0=l(lc,m(R0,f(kc,lc)));return[C0,I0,Y0]}}),name$Z="sum",dependencies$Y=["typed","config","add","numeric"],createSum=factory(name$Z,dependencies$Y,n=>{var{typed:t,config:r,add:a,numeric:s}=n;return t(name$Z,{"Array | Matrix":l,"Array | Matrix, number | BigNumber":u,"...":function(m){if(containsCollections(m))throw new TypeError("Scalar values expected in function sum");return l(m)}});function l(_){var m;return deepForEach(_,function(g){try{m=m===void 0?g:a(m,g)}catch(f){throw improveErrorMessage(f,"sum",g)}}),m===void 0&&(m=s(0,r.number)),typeof m=="string"&&(m=s(m,r.number)),m}function u(_,m){try{var g=reduce(_,m,a);return g}catch(f){throw 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l(m)}else{for(x=[],f=0;f<m.length;f++)x[f]=_(m[f],g-1);return x}}}),name$X="mean",dependencies$W=["typed","add","divide"],createMean=factory(name$X,dependencies$W,n=>{var{typed:t,add:r,divide:a}=n;return t(name$X,{"Array | Matrix":l,"Array | Matrix, number | BigNumber":s,"...":function(_){if(containsCollections(_))throw new TypeError("Scalar values expected in function mean");return l(_)}});function s(u,_){try{var m=reduce(u,_,r),g=Array.isArray(u)?arraySize(u):u.size();return a(m,g[_])}catch(f){throw improveErrorMessage(f,"mean")}}function l(u){var _,m=0;if(deepForEach(u,function(g){try{_=_===void 0?g:r(_,g),m++}catch(f){throw improveErrorMessage(f,"mean",g)}}),m===0)throw new Error("Cannot calculate the mean of an empty array");return a(_,m)}}),name$W="median",dependencies$V=["typed","add","divide","compare","partitionSelect"],createMedian=factory(name$W,dependencies$V,n=>{var{typed:t,add:r,divide:a,compare:s,partitionSelect:l}=n;function u(g){try{g=flatten$1(g.valueOf());var f=g.length;if(f===0)throw new Error("Cannot calculate median of an empty array");if(f%2===0){for(var x=f/2-1,w=l(g,x+1),Z=g[x],Ce=0;Ce<x;++Ce)s(g[Ce],Z)>0&&(Z=g[Ce]);return m(Z,w)}else{var ne=l(g,(f-1)/2);return _(ne)}}catch($e){throw improveErrorMessage($e,"median")}}var _=t({"number | BigNumber | Complex | Unit":function(f){return f}}),m=t({"number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit":function(f,x){return a(r(f,x),2)}});return t(name$W,{"Array | Matrix":u,"Array | Matrix, number | BigNumber":function(f,x){throw new Error("median(A, dim) is not yet supported")},"...":function(f){if(containsCollections(f))throw new TypeError("Scalar values expected in function median");return u(f)}})}),name$V="mad",dependencies$U=["typed","abs","map","median","subtract"],createMad=factory(name$V,dependencies$U,n=>{var{typed:t,abs:r,map:a,median:s,subtract:l}=n;return t(name$V,{"Array | Matrix":u,"...":function(m){return u(m)}});function u(_){if(_=flatten$1(_.valueOf()),_.length===0)throw new Error("Cannot calculate median absolute deviation (mad) of an empty array");try{var m=s(_);return s(a(_,function(g){return r(l(g,m))}))}catch(g){throw g instanceof TypeError&&g.message.indexOf("median")!==-1?new TypeError(g.message.replace("median","mad")):improveErrorMessage(g,"mad")}}}),DEFAULT_NORMALIZATION="unbiased",name$U="variance",dependencies$T=["typed","add","subtract","multiply","divide","apply","isNaN"],createVariance=factory(name$U,dependencies$T,n=>{var{typed:t,add:r,subtract:a,multiply:s,divide:l,apply:u,isNaN:_}=n;return t(name$U,{"Array | Matrix":function(x){return m(x,DEFAULT_NORMALIZATION)},"Array | Matrix, string":m,"Array | Matrix, number | BigNumber":function(x,w){return g(x,w,DEFAULT_NORMALIZATION)},"Array | Matrix, number | BigNumber, string":g,"...":function(x){return m(x,DEFAULT_NORMALIZATION)}});function m(f,x){var w,Z=0;if(f.length===0)throw new SyntaxError("Function variance requires one or more 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Array A and B must have the same length.");for(var ne=0;ne<w.length;ne++){if(w[ne].length!==Z[ne].length)throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");Ce.push(x(w[ne],Z[ne]))}return Ce}else{if(w.length!==Z.length)throw new SyntaxError("Dimension mismatch. 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name$P="combinationsWithRep",dependencies$O=["typed"],createCombinationsWithRep=factory(name$P,dependencies$O,n=>{var{typed:t}=n;return t(name$P,{"number, number":function(a,s){if(!isInteger$1(a)||a<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(!isInteger$1(s)||s<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(a<1)throw new TypeError("k must be less than or equal to n + k - 1");if(s<a-1){var l=product(a,a+s-1);return l/product(1,s)}var u=product(s+1,a+s-1);return u/product(1,a-1)},"BigNumber, BigNumber":function(a,s){var l=a.constructor,u,_,m=new l(1),g=a.minus(m);if(!isPositiveInteger$1(a)||!isPositiveInteger$1(s))throw new TypeError("Positive integer value expected in function combinationsWithRep");if(a.lt(m))throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep");if(u=m,s.lt(g))for(_=m;_.lte(g);_=_.plus(m))u=u.times(s.plus(_)).dividedBy(_);else 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Error("Integer BigNumber expected")}});function m(g){if(g<8)return new l([1,1,2,6,24,120,720,5040][g]);var f=r.precision+(Math.log(g.toNumber())|0),x=l.clone({precision:f});if(g%2===1)return g.times(m(new l(g-1)));for(var w=g,Z=new x(g),Ce=g.toNumber();w>2;)w-=2,Ce+=w,Z=Z.times(Ce);return new l(Z.toPrecision(l.precision))}}),name$N="lgamma",dependencies$M=["Complex","typed"],createLgamma=factory(name$N,dependencies$M,n=>{var{Complex:t,typed:r}=n,a=7,s=7,l=[-.029550653594771242,.00641025641025641,-.0019175269175269176,.0008417508417508417,-.0005952380952380953,.0007936507936507937,-.002777777777777778,.08333333333333333];return r(name$N,{number:lgammaNumber,Complex:u,BigNumber:function(){throw new Error("mathjs doesn't yet provide an implementation of the algorithm lgamma for BigNumber")}});function u(g){var f=6.283185307179586,x=1.1447298858494002,w=.1;if(g.isNaN())return new t(NaN,NaN);if(g.im===0)return new t(lgammaNumber(g.re),0);if(g.re>=a||Math.abs(g.im)>=s)return _(g);if(g.re<=w){var Z=copysign(f,g.im)*Math.floor(.5*g.re+.25),Ce=g.mul(Math.PI).sin().log(),ne=u(new t(1-g.re,-g.im));return new t(x,Z).sub(Ce).sub(ne)}else return g.im>=0?m(g):m(g.conjugate()).conjugate()}function _(g){for(var f=g.sub(.5).mul(g.log()).sub(g).add(lnSqrt2PI),x=new t(1,0).div(g),w=x.div(g),Z=l[0],Ce=l[1],ne=2*w.re,$e=w.re*w.re+w.im*w.im,Ie=2;Ie<8;Ie++){var Dt=Ce;Ce=-$e*Z+l[Ie],Z=ne*Z+Dt}var Lr=x.mul(w.mul(Z).add(Ce));return f.add(Lr)}function m(g){var f=0,x=0,w=g;for(g=g.add(1);g.re<=a;){w=w.mul(g);var Z=w.im<0?1:0;Z!==0&&x===0&&f++,x=Z,g=g.add(1)}return _(g).sub(w.log()).sub(new t(0,f*2*Math.PI*1))}}),name$M="factorial",dependencies$L=["typed","gamma"],createFactorial=factory(name$M,dependencies$L,n=>{var{typed:t,gamma:r}=n;return t(name$M,{number:function(s){if(s<0)throw new Error("Value must be non-negative");return r(s+1)},BigNumber:function(s){if(s.isNegative())throw new Error("Value must be non-negative");return r(s.plus(1))},"Array | Matrix":t.referToSelf(a=>s=>deepMap(s,a))})}),name$L="kldivergence",dependencies$K=["typed","matrix","divide","sum","multiply","map","dotDivide","log","isNumeric"],createKldivergence=factory(name$L,dependencies$K,n=>{var{typed:t,matrix:r,divide:a,sum:s,multiply:l,map:u,dotDivide:_,log:m,isNumeric:g}=n;return t(name$L,{"Array, Array":function(w,Z){return f(r(w),r(Z))},"Matrix, Array":function(w,Z){return f(w,r(Z))},"Array, Matrix":function(w,Z){return f(r(w),Z)},"Matrix, Matrix":function(w,Z){return f(w,Z)}});function f(x,w){var Z=w.size().length,Ce=x.size().length;if(Z>1)throw new Error("first object must be one dimensional");if(Ce>1)throw new Error("second object must be one dimensional");if(Z!==Ce)throw new Error("Length of two vectors must be equal");var ne=s(x);if(ne===0)throw new Error("Sum of elements in first object must be non zero");var $e=s(w);if($e===0)throw new Error("Sum of elements in second object must be non zero");var Ie=a(x,s(x)),Dt=a(w,s(w)),Lr=s(l(Ie,u(_(Ie,Dt),ec=>m(ec))));return g(Lr)?Lr:Number.NaN}}),name$K="multinomial",dependencies$J=["typed","add","divide","multiply","factorial","isInteger","isPositive"],createMultinomial=factory(name$K,dependencies$J,n=>{var{typed:t,add:r,divide:a,multiply:s,factorial:l,isInteger:u,isPositive:_}=n;return t(name$K,{"Array | Matrix":function(g){var f=0,x=1;return deepForEach(g,function(w){if(!u(w)||!_(w))throw new TypeError("Positive integer value expected in function multinomial");f=r(f,w),x=s(x,l(w))}),a(l(f),x)}})}),name$J="permutations",dependencies$I=["typed","factorial"],createPermutations=factory(name$J,dependencies$I,n=>{var{typed:t,factorial:r}=n;return t(name$J,{"number | BigNumber":r,"number, number":function(s,l){if(!isInteger$1(s)||s<0)throw new TypeError("Positive integer value expected in function permutations");if(!isInteger$1(l)||l<0)throw new TypeError("Positive integer value expected in function permutations");if(l>s)throw new TypeError("second argument k must be less than or equal to first argument n");return product(s-l+1,s)},"BigNumber, BigNumber":function(s,l){var u,_;if(!isPositiveInteger(s)||!isPositiveInteger(l))throw new TypeError("Positive integer value expected in function permutations");if(l.gt(s))throw new TypeError("second argument k must be less than or equal to first argument n");var m=s.mul(0).add(1);for(u=m,_=s.minus(l).plus(1);_.lte(s);_=_.plus(1))u=u.times(_);return u}})});function isPositiveInteger(n){return n.isInteger()&&n.gte(0)}var singletonRandom=seedrandom$1(Date.now());function createRng(n){var t;function r(s){t=s===null?singletonRandom:seedrandom$1(String(s))}r(n);function a(){return t()}return a}var name$I="pickRandom",dependencies$H=["typed","config","?on"],createPickRandom=factory(name$I,dependencies$H,n=>{var{typed:t,config:r,on:a}=n,s=createRng(r.randomSeed);return a&&a("config",function(u,_){u.randomSeed!==_.randomSeed&&(s=createRng(u.randomSeed))}),t(name$I,{"Array | 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sc=ec[ac],cc=ec[ac-1],uc=sc.length;uc<=ac&&uc<=nc;++uc)uc===ac?sc[uc]=1:sc[uc]=r(s(ys(uc),cc[uc]),cc[uc-1]);return ec[tc][nc]}})}),name$E="bellNumbers",dependencies$D=["typed","addScalar","isNegative","isInteger","stirlingS2"],createBellNumbers=factory(name$E,dependencies$D,n=>{var{typed:t,addScalar:r,isNegative:a,isInteger:s,stirlingS2:l}=n;return t(name$E,{"number | BigNumber":function(_){if(!s(_)||a(_))throw new TypeError("Non-negative integer value expected in function bellNumbers");for(var m=0,g=0;g<=_;g++)m=r(m,l(_,g));return m}})}),name$D="catalan",dependencies$C=["typed","addScalar","divideScalar","multiplyScalar","combinations","isNegative","isInteger"],createCatalan=factory(name$D,dependencies$C,n=>{var{typed:t,addScalar:r,divideScalar:a,multiplyScalar:s,combinations:l,isNegative:u,isInteger:_}=n;return t(name$D,{"number | BigNumber":function(g){if(!_(g)||u(g))throw new TypeError("Non-negative integer value expected in function catalan");return a(l(s(g,2),g),r(g,1))}})}),name$C="composition",dependencies$B=["typed","addScalar","combinations","isNegative","isPositive","isInteger","larger"],createComposition=factory(name$C,dependencies$B,n=>{var{typed:t,addScalar:r,combinations:a,isPositive:s,isNegative:l,isInteger:u,larger:_}=n;return t(name$C,{"number | BigNumber, number | BigNumber":function(g,f){if(!u(g)||!s(g)||!u(f)||!s(f))throw new TypeError("Positive integer value expected in function composition");if(_(f,g))throw new TypeError("k must be less than or equal to n in function composition");return a(r(g,-1),r(f,-1))}})}),name$B="leafCount",dependencies$A=["parse","typed"],createLeafCount=factory(name$B,dependencies$A,n=>{var{parse:t,typed:r}=n;function a(s){var l=0;return s.forEach(u=>{l+=a(u)}),l||1}return r(name$B,{Node:function(l){return a(l)}})});function isNumericNode(n){return isConstantNode(n)||isOperatorNode(n)&&n.isUnary()&&isConstantNode(n.args[0])}function isConstantExpression(n){return!!(isConstantNode(n)||(isFunctionNode(n)||isOperatorNode(n))&&n.args.every(isConstantExpression)||isParenthesisNode(n)&&isConstantExpression(n.content))}function ownKeys$1(n,t){var r=Object.keys(n);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(n);t&&(a=a.filter(function(s){return Object.getOwnPropertyDescriptor(n,s).enumerable})),r.push.apply(r,a)}return r}function _objectSpread(n){for(var t=1;t<arguments.length;t++){var r=arguments[t]!=null?arguments[t]:{};t%2?ownKeys$1(Object(r),!0).forEach(function(a){_defineProperty$1(n,a,r[a])}):Object.getOwnPropertyDescriptors?Object.defineProperties(n,Object.getOwnPropertyDescriptors(r)):ownKeys$1(Object(r)).forEach(function(a){Object.defineProperty(n,a,Object.getOwnPropertyDescriptor(r,a))})}return n}var name$A="simplifyUtil",dependencies$z=["FunctionNode","OperatorNode","SymbolNode"],createUtil=factory(name$A,dependencies$z,n=>{var{FunctionNode:t,OperatorNode:r,SymbolNode:a}=n,s=!0,l=!1,u="defaultF",_={add:{trivial:s,total:s,commutative:s,associative:s},unaryPlus:{trivial:s,total:s,commutative:s,associative:s},subtract:{trivial:l,total:s,commutative:l,associative:l},multiply:{trivial:s,total:s,commutative:s,associative:s},divide:{trivial:l,total:s,commutative:l,associative:l},paren:{trivial:s,total:s,commutative:s,associative:l},defaultF:{trivial:l,total:s,commutative:l,associative:l}},m={divide:{total:l},log:{total:l}},g={subtract:{total:l},abs:{trivial:s},log:{total:s}};function f(Lr,ec){var ys=arguments.length>2&&arguments[2]!==void 0?arguments[2]:_,tc=u;if(typeof Lr=="string"?tc=Lr:isOperatorNode(Lr)?tc=Lr.fn.toString():isFunctionNode(Lr)?tc=Lr.name:isParenthesisNode(Lr)&&(tc="paren"),hasOwnProperty(ys,tc)){var nc=ys[tc];if(hasOwnProperty(nc,ec))return nc[ec];if(hasOwnProperty(_,tc))return _[tc][ec]}if(hasOwnProperty(ys,u)){var ac=ys[u];return hasOwnProperty(ac,ec)?ac[ec]:_[u][ec]}if(hasOwnProperty(_,tc)){var sc=_[tc];if(hasOwnProperty(sc,ec))return sc[ec]}return _[u][ec]}function x(Lr){var ec=arguments.length>1&&arguments[1]!==void 0?arguments[1]:_;return f(Lr,"commutative",ec)}function w(Lr){var ec=arguments.length>1&&arguments[1]!==void 0?arguments[1]:_;return f(Lr,"associative",ec)}function Z(Lr,ec){var ys=_objectSpread({},Lr);for(var tc in ec)hasOwnProperty(Lr,tc)?ys[tc]=_objectSpread(_objectSpread({},ec[tc]),Lr[tc]):ys[tc]=ec[tc];return ys}function Ce(Lr,ec){if(!Lr.args||Lr.args.length===0)return Lr;Lr.args=ne(Lr,ec);for(var ys=0;ys<Lr.args.length;ys++)Ce(Lr.args[ys],ec)}function ne(Lr,ec){var ys,tc=[],nc=function ac(sc){for(var cc=0;cc<sc.args.length;cc++){var uc=sc.args[cc];isOperatorNode(uc)&&ys===uc.op?ac(uc):tc.push(uc)}};return w(Lr,ec)?(ys=Lr.op,nc(Lr),tc):Lr.args}function 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a(Lr.name),ec)}}return{createMakeNodeFunction:Dt,hasProperty:f,isCommutative:x,isAssociative:w,mergeContext:Z,flatten:Ce,allChildren:ne,unflattenr:$e,unflattenl:Ie,defaultContext:_,realContext:m,positiveContext:g}}),name$z="simplify",dependencies$y=["config","typed","parse","add","subtract","multiply","divide","pow","isZero","equal","resolve","simplifyConstant","simplifyCore","?fraction","?bignumber","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","SymbolNode"],createSimplify=factory(name$z,dependencies$y,n=>{var{config:t,typed:r,parse:a,add:s,subtract:l,multiply:u,divide:_,pow:m,isZero:g,equal:f,resolve:x,simplifyConstant:w,simplifyCore:Z,fraction:Ce,bignumber:ne,mathWithTransform:$e,matrix:Ie,AccessorNode:Dt,ArrayNode:Lr,ConstantNode:ec,FunctionNode:ys,IndexNode:tc,ObjectNode:nc,OperatorNode:ac,ParenthesisNode:sc,SymbolNode:cc}=n,{hasProperty:uc,isCommutative:lc,isAssociative:e0,mergeContext:dc,flatten:kc,unflattenr:Jc,unflattenl:n0,createMakeNodeFunction:d0,defaultContext:t0,realContext:h0,positiveContext:_0}=createUtil({FunctionNode:ys,OperatorNode:ac,SymbolNode:cc});r.addConversion({from:"Object",to:"Map",convert:createMap$1});var 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c0}),name$y="simplifyConstant",dependencies$x=["typed","config","mathWithTransform","matrix","?fraction","?bignumber","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode"],createSimplifyConstant=factory(name$y,dependencies$x,n=>{var{typed:t,config:r,mathWithTransform:a,matrix:s,fraction:l,bignumber:u,AccessorNode:_,ArrayNode:m,ConstantNode:g,FunctionNode:f,IndexNode:x,ObjectNode:w,OperatorNode:Z,SymbolNode:Ce}=n,{isCommutative:ne,isAssociative:$e,allChildren:Ie,createMakeNodeFunction:Dt}=createUtil({FunctionNode:f,OperatorNode:Z,SymbolNode:Ce}),Lr=t("simplifyConstant",{Node:kc=>nc(dc(kc,{})),"Node, Object":function(Jc,n0){return nc(dc(Jc,n0))}});function ec(kc){return isFraction(kc)?kc.valueOf():kc instanceof Array?kc.map(ec):isMatrix(kc)?s(ec(kc.valueOf())):kc}function ys(kc,Jc,n0){try{return a[kc].apply(null,Jc)}catch{return Jc=Jc.map(ec),sc(a[kc].apply(null,Jc),n0)}}var tc=t({Fraction:uc,number:function(Jc){return Jc<0?cc(new g(-Jc)):new g(Jc)},BigNumber:function(Jc){return Jc<0?cc(new g(-Jc)):new g(Jc)},Complex:function(Jc){throw new Error("Cannot convert Complex number to Node")},string:function(Jc){return new g(Jc)},Matrix:function(Jc){return new m(Jc.valueOf().map(n0=>tc(n0)))}});function nc(kc){return isNode$1(kc)?kc:tc(kc)}function ac(kc,Jc){var n0=Jc&&Jc.exactFractions!==!1;if(n0&&isFinite(kc)&&l){var d0=l(kc),t0=Jc&&typeof Jc.fractionsLimit=="number"?Jc.fractionsLimit:1/0;if(d0.valueOf()===kc&&d0.n<t0&&d0.d<t0)return d0}return kc}var sc=t({"string, Object":function(Jc,n0){if(r.number==="BigNumber")return u===void 0&&noBignumber(),u(Jc);if(r.number==="Fraction")return l===void 0&&noFraction(),l(Jc);var d0=parseFloat(Jc);return ac(d0,n0)},"Fraction, Object":function(Jc,n0){return Jc},"BigNumber, Object":function(Jc,n0){return Jc},"number, Object":function(Jc,n0){return ac(Jc,n0)},"Complex, Object":function(Jc,n0){return Jc.im!==0?Jc:ac(Jc.re,n0)},"Matrix, Object":function(Jc,n0){return s(ac(Jc.valueOf()))},"Array, Object":function(Jc,n0){return Jc.map(ac)}});function cc(kc){return new Z("-","unaryMinus",[kc])}function uc(kc){var Jc,n0=kc.s*kc.n;return n0<0?Jc=new Z("-","unaryMinus",[new g(-n0)]):Jc=new g(n0),kc.d===1?Jc:new Z("/","divide",[Jc,new g(kc.d)])}function lc(kc,Jc,n0){if(!isIndexNode(Jc))return new _(nc(kc),nc(Jc));if(isArrayNode(kc)||isMatrix(kc)){for(var d0=Array.from(Jc.dimensions);d0.length>0;)if(isConstantNode(d0[0])&&typeof d0[0].value!="string"){var t0=sc(d0.shift().value,n0);isArrayNode(kc)?kc=kc.items[t0-1]:(kc=kc.valueOf()[t0-1],kc instanceof Array&&(kc=s(kc)))}else if(d0.length>1&&isConstantNode(d0[1])&&typeof d0[1].value!="string"){var h0=sc(d0[1].value,n0),_0=[],c0=isArrayNode(kc)?kc.items:kc.valueOf();for(var f0 of c0)if(isArrayNode(f0))_0.push(f0.items[h0-1]);else if(isMatrix(kc))_0.push(f0[h0-1]);else break;if(_0.length===c0.length)isArrayNode(kc)?kc=new m(_0):kc=s(_0),d0.splice(1,1);else break}else break;return d0.length===Jc.dimensions.length?new _(nc(kc),Jc):d0.length>0?(Jc=new x(d0),new _(nc(kc),Jc)):kc}if(isObjectNode(kc)&&Jc.dimensions.length===1&&isConstantNode(Jc.dimensions[0])){var q0=Jc.dimensions[0].value;return q0 in kc.properties?kc.properties[q0]:new g}return new _(nc(kc),Jc)}function e0(kc,Jc,n0,d0){var t0=Jc.shift(),h0=Jc.reduce((_0,c0)=>{if(!isNode$1(c0)){var f0=_0.pop();if(isNode$1(f0))return[f0,c0];try{return _0.push(ys(kc,[f0,c0],d0)),_0}catch{_0.push(f0)}}_0.push(nc(_0.pop()));var q0=_0.length===1?_0[0]:n0(_0);return[n0([q0,nc(c0)])]},[t0]);return h0.length===1?h0[0]:n0([h0[0],tc(h0[1])])}function dc(kc,Jc){switch(kc.type){case"SymbolNode":return kc;case"ConstantNode":switch(typeof kc.value){case"number":return sc(kc.value,Jc);case"string":return kc.value;default:if(!isNaN(kc.value))return sc(kc.value,Jc)}return kc;case"FunctionNode":if(a[kc.name]&&a[kc.name].rawArgs)return kc;{var n0=["add","multiply"];if(n0.indexOf(kc.name)===-1){var d0=kc.args.map(Y0=>dc(Y0,Jc));if(!d0.some(isNode$1))try{return ys(kc.name,d0,Jc)}catch{}if(kc.name==="size"&&d0.length===1&&isArrayNode(d0[0])){for(var t0=[],h0=d0[0];isArrayNode(h0);)t0.push(h0.items.length),h0=h0.items[0];return s(t0)}return new f(kc.name,d0.map(nc))}}case"OperatorNode":{var _0=kc.fn.toString(),c0,f0,q0=Dt(kc);if(isOperatorNode(kc)&&kc.isUnary())c0=[dc(kc.args[0],Jc)],isNode$1(c0[0])?f0=q0(c0):f0=ys(_0,c0,Jc);else if($e(kc,Jc.context))if(c0=Ie(kc,Jc.context),c0=c0.map(Y0=>dc(Y0,Jc)),ne(_0,Jc.context)){for(var D0=[],$0=[],k0=0;k0<c0.length;k0++)isNode$1(c0[k0])?$0.push(c0[k0]):D0.push(c0[k0]);D0.length>1?(f0=e0(_0,D0,q0,Jc),$0.unshift(f0),f0=e0(_0,$0,q0,Jc)):f0=e0(_0,c0,q0,Jc)}else f0=e0(_0,c0,q0,Jc);else c0=kc.args.map(Y0=>dc(Y0,Jc)),f0=e0(_0,c0,q0,Jc);return f0}case"ParenthesisNode":return dc(kc.content,Jc);case"AccessorNode":return lc(dc(kc.object,Jc),dc(kc.index,Jc),Jc);case"ArrayNode":{var R0=kc.items.map(Y0=>dc(Y0,Jc));return R0.some(isNode$1)?new m(R0.map(nc)):s(R0)}case"IndexNode":return new x(kc.dimensions.map(Y0=>Lr(Y0,Jc)));case"ObjectNode":{var C0={};for(var I0 in kc.properties)C0[I0]=Lr(kc.properties[I0],Jc);return new w(C0)}case"AssignmentNode":case"BlockNode":case"FunctionAssignmentNode":case"RangeNode":case"ConditionalNode":default:throw new Error("Unimplemented node type in simplifyConstant: ".concat(kc.type))}}return Lr}),name$x="simplifyCore",dependencies$w=["typed","parse","equal","isZero","add","subtract","multiply","divide","pow","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","SymbolNode"],createSimplifyCore=factory(name$x,dependencies$w,n=>{var{typed:t,parse:r,equal:a,isZero:s,add:l,subtract:u,multiply:_,divide:m,pow:g,AccessorNode:f,ArrayNode:x,ConstantNode:w,FunctionNode:Z,IndexNode:Ce,ObjectNode:ne,OperatorNode:$e,ParenthesisNode:Ie,SymbolNode:Dt}=n,Lr=new w(0),ec=new w(1),ys=new w(!0),tc=new w(!1);function nc(uc){return isOperatorNode(uc)&&["and","not","or"].includes(uc.op)}var{hasProperty:ac,isCommutative:sc}=createUtil({FunctionNode:Z,OperatorNode:$e,SymbolNode:Dt});function cc(uc){var lc=arguments.length>1&&arguments[1]!==void 0?arguments[1]:{},e0=lc?lc.context:void 0;if(ac(uc,"trivial",e0)){if(isFunctionNode(uc)&&uc.args.length===1)return cc(uc.args[0],lc);var dc=!1,kc=0;if(uc.forEach($0=>{++kc,kc===1&&(dc=cc($0,lc))}),kc===1)return dc}var Jc=uc;if(isFunctionNode(Jc)){var n0=getOperator(Jc.name);if(n0){if(Jc.args.length>2&&ac(Jc,"associative",e0))for(;Jc.args.length>2;){var d0=Jc.args.pop(),t0=Jc.args.pop();Jc.args.push(new $e(n0,Jc.name,[d0,t0]))}Jc=new $e(n0,Jc.name,Jc.args)}else return new Z(cc(Jc.fn),Jc.args.map($0=>cc($0,lc)))}if(isOperatorNode(Jc)&&Jc.isUnary()){var h0=cc(Jc.args[0],lc);if(Jc.op==="~"&&isOperatorNode(h0)&&h0.isUnary()&&h0.op==="~"||Jc.op==="not"&&isOperatorNode(h0)&&h0.isUnary()&&h0.op==="not"&&nc(h0.args[0]))return h0.args[0];var _0=!0;if(Jc.op==="-"&&isOperatorNode(h0)&&(h0.isBinary()&&h0.fn==="subtract"&&(Jc=new $e("-","subtract",[h0.args[1],h0.args[0]]),_0=!1),h0.isUnary()&&h0.op==="-"))return h0.args[0];if(_0)return new $e(Jc.op,Jc.fn,[h0])}if(isOperatorNode(Jc)&&Jc.isBinary()){var c0=cc(Jc.args[0],lc),f0=cc(Jc.args[1],lc);if(Jc.op==="+"){if(isConstantNode(c0)&&s(c0.value))return f0;if(isConstantNode(f0)&&s(f0.value))return c0;isOperatorNode(f0)&&f0.isUnary()&&f0.op==="-"&&(f0=f0.args[0],Jc=new $e("-","subtract",[c0,f0]))}if(Jc.op==="-")return isOperatorNode(f0)&&f0.isUnary()&&f0.op==="-"?cc(new $e("+","add",[c0,f0.args[0]]),lc):isConstantNode(c0)&&s(c0.value)?cc(new $e("-","unaryMinus",[f0])):isConstantNode(f0)&&s(f0.value)?c0:new $e(Jc.op,Jc.fn,[c0,f0]);if(Jc.op==="*"){if(isConstantNode(c0)){if(s(c0.value))return Lr;if(a(c0.value,1))return f0}if(isConstantNode(f0)){if(s(f0.value))return Lr;if(a(f0.value,1))return c0;if(sc(Jc,e0))return new $e(Jc.op,Jc.fn,[f0,c0],Jc.implicit)}return new $e(Jc.op,Jc.fn,[c0,f0],Jc.implicit)}if(Jc.op==="/")return isConstantNode(c0)&&s(c0.value)?Lr:isConstantNode(f0)&&a(f0.value,1)?c0:new $e(Jc.op,Jc.fn,[c0,f0]);if(Jc.op==="^"&&isConstantNode(f0)){if(s(f0.value))return ec;if(a(f0.value,1))return c0}if(Jc.op==="and"){if(isConstantNode(c0))if(c0.value){if(nc(f0))return f0}else return tc;if(isConstantNode(f0))if(f0.value){if(nc(c0))return c0}else return tc}if(Jc.op==="or"){if(isConstantNode(c0)){if(c0.value)return ys;if(nc(f0))return f0}if(isConstantNode(f0)){if(f0.value)return ys;if(nc(c0))return c0}}return new $e(Jc.op,Jc.fn,[c0,f0])}if(isOperatorNode(Jc))return new $e(Jc.op,Jc.fn,Jc.args.map($0=>cc($0,lc)));if(isArrayNode(Jc))return new x(Jc.items.map($0=>cc($0,lc)));if(isAccessorNode(Jc))return new f(cc(Jc.object,lc),cc(Jc.index,lc));if(isIndexNode(Jc))return new Ce(Jc.dimensions.map($0=>cc($0,lc)));if(isObjectNode(Jc)){var q0={};for(var D0 in Jc.properties)q0[D0]=cc(Jc.properties[D0],lc);return new ne(q0)}return Jc}return t(name$x,{Node:cc,"Node,Object":cc})}),name$w="resolve",dependencies$v=["typed","parse","ConstantNode","FunctionNode","OperatorNode","ParenthesisNode"],createResolve=factory(name$w,dependencies$v,n=>{var{typed:t,parse:r,ConstantNode:a,FunctionNode:s,OperatorNode:l,ParenthesisNode:u}=n;function _(m,g){var f=arguments.length>2&&arguments[2]!==void 0?arguments[2]:new Set;if(!g)return m;if(isSymbolNode(m)){if(f.has(m.name)){var x=Array.from(f).join(", ");throw new ReferenceError("recursive loop of variable definitions among {".concat(x,"}"))}var w=g.get(m.name);if(isNode$1(w)){var Z=new Set(f);return Z.add(m.name),_(w,g,Z)}else return typeof w=="number"?r(String(w)):w!==void 0?new a(w):m}else if(isOperatorNode(m)){var Ce=m.args.map(function($e){return _($e,g,f)});return new l(m.op,m.fn,Ce,m.implicit)}else{if(isParenthesisNode(m))return new u(_(m.content,g,f));if(isFunctionNode(m)){var ne=m.args.map(function($e){return _($e,g,f)});return new s(m.name,ne)}}return m.map($e=>_($e,g,f))}return t("resolve",{Node:_,"Node, Map | null | undefined":_,"Node, Object":(m,g)=>_(m,createMap$1(g)),"Array | Matrix":t.referToSelf(m=>g=>g.map(f=>m(f))),"Array | Matrix, null | undefined":t.referToSelf(m=>g=>g.map(f=>m(f))),"Array, Object":t.referTo("Array,Map",m=>(g,f)=>m(g,createMap$1(f))),"Matrix, Object":t.referTo("Matrix,Map",m=>(g,f)=>m(g,createMap$1(f))),"Array | Matrix, Map":t.referToSelf(m=>(g,f)=>g.map(x=>m(x,f)))})}),name$v="symbolicEqual",dependencies$u=["parse","simplify","typed","OperatorNode"],createSymbolicEqual=factory(name$v,dependencies$u,n=>{var{parse:t,simplify:r,typed:a,OperatorNode:s}=n;function l(u,_){var m=arguments.length>2&&arguments[2]!==void 0?arguments[2]:{},g=new s("-","subtract",[u,_]),f=r(g,{},m);return isConstantNode(f)&&!f.value}return a(name$v,{"Node, Node":l,"Node, Node, Object":l})}),name$u="derivative",dependencies$t=["typed","config","parse","simplify","equal","isZero","numeric","ConstantNode","FunctionNode","OperatorNode","ParenthesisNode","SymbolNode"],createDerivative=factory(name$u,dependencies$t,n=>{var{typed:t,config:r,parse:a,simplify:s,equal:l,isZero:u,numeric:_,ConstantNode:m,FunctionNode:g,OperatorNode:f,ParenthesisNode:x,SymbolNode:w}=n;function Z(Lr,ec){var ys=arguments.length>2&&arguments[2]!==void 0?arguments[2]:{simplify:!0},tc={};$e(tc,Lr,ec.name);var nc=Ie(Lr,tc);return ys.simplify?s(nc):nc}t.addConversion({from:"identifier",to:"SymbolNode",convert:a});var Ce=t(name$u,{"Node, SymbolNode":Z,"Node, SymbolNode, Object":Z});t.removeConversion({from:"identifier",to:"SymbolNode",convert:a}),Ce._simplify=!0,Ce.toTex=function(Lr){return ne.apply(null,Lr.args)};var ne=t("_derivTex",{"Node, SymbolNode":function(ec,ys){return isConstantNode(ec)&&typeOf$1(ec.value)==="string"?ne(a(ec.value).toString(),ys.toString(),1):ne(ec.toTex(),ys.toString(),1)},"Node, ConstantNode":function(ec,ys){if(typeOf$1(ys.value)==="string")return ne(ec,a(ys.value));throw new Error("The second parameter to 'derivative' is a non-string constant")},"Node, SymbolNode, ConstantNode":function(ec,ys,tc){return ne(ec.toString(),ys.name,tc.value)},"string, string, number":function(ec,ys,tc){var nc;return tc===1?nc="{d\\over d"+ys+"}":nc="{d^{"+tc+"}\\over d"+ys+"^{"+tc+"}}",nc+"\\left[".concat(ec,"\\right]")}}),$e=t("constTag",{"Object, ConstantNode, string":function(ec,ys){return ec[ys]=!0,!0},"Object, SymbolNode, string":function(ec,ys,tc){return ys.name!==tc?(ec[ys]=!0,!0):!1},"Object, ParenthesisNode, string":function(ec,ys,tc){return $e(ec,ys.content,tc)},"Object, FunctionAssignmentNode, string":function(ec,ys,tc){return ys.params.indexOf(tc)===-1?(ec[ys]=!0,!0):$e(ec,ys.expr,tc)},"Object, FunctionNode | OperatorNode, string":function(ec,ys,tc){if(ys.args.length>0){for(var nc=$e(ec,ys.args[0],tc),ac=1;ac<ys.args.length;++ac)nc=$e(ec,ys.args[ac],tc)&&nc;if(nc)return ec[ys]=!0,!0}return!1}}),Ie=t("_derivative",{"ConstantNode, Object":function(ec){return Dt(0)},"SymbolNode, Object":function(ec,ys){return ys[ec]!==void 0?Dt(0):Dt(1)},"ParenthesisNode, Object":function(ec,ys){return new x(Ie(ec.content,ys))},"FunctionAssignmentNode, Object":function(ec,ys){return ys[ec]!==void 0?Dt(0):Ie(ec.expr,ys)},"FunctionNode, Object":function(ec,ys){if(ys[ec]!==void 0)return Dt(0);var tc=ec.args[0],nc,ac=!1,sc=!1,cc;switch(ec.name){case"cbrt":ac=!0,cc=new f("*","multiply",[Dt(3),new f("^","pow",[tc,new f("/","divide",[Dt(2),Dt(3)])])]);break;case"sqrt":case"nthRoot":if(ec.args.length===1)ac=!0,cc=new f("*","multiply",[Dt(2),new g("sqrt",[tc])]);else if(ec.args.length===2)return nc=new f("/","divide",[Dt(1),ec.args[1]]),ys[nc]=ys[ec.args[1]],Ie(new f("^","pow",[tc,nc]),ys);break;case"log10":nc=Dt(10);case"log":if(!nc&&ec.args.length===1)cc=tc.clone(),ac=!0;else if(ec.args.length===1&&nc||ec.args.length===2&&ys[ec.args[1]]!==void 0)cc=new f("*","multiply",[tc.clone(),new g("log",[nc||ec.args[1]])]),ac=!0;else if(ec.args.length===2)return Ie(new f("/","divide",[new g("log",[tc]),new g("log",[ec.args[1]])]),ys);break;case"pow":if(ec.args.length===2)return ys[nc]=ys[ec.args[1]],Ie(new f("^","pow",[tc,ec.args[1]]),ys);break;case"exp":cc=new g("exp",[tc.clone()]);break;case"sin":cc=new g("cos",[tc.clone()]);break;case"cos":cc=new f("-","unaryMinus",[new g("sin",[tc.clone()])]);break;case"tan":cc=new f("^","pow",[new g("sec",[tc.clone()]),Dt(2)]);break;case"sec":cc=new f("*","multiply",[ec,new g("tan",[tc.clone()])]);break;case"csc":sc=!0,cc=new f("*","multiply",[ec,new g("cot",[tc.clone()])]);break;case"cot":sc=!0,cc=new f("^","pow",[new g("csc",[tc.clone()]),Dt(2)]);break;case"asin":ac=!0,cc=new g("sqrt",[new f("-","subtract",[Dt(1),new f("^","pow",[tc.clone(),Dt(2)])])]);break;case"acos":ac=!0,sc=!0,cc=new g("sqrt",[new f("-","subtract",[Dt(1),new f("^","pow",[tc.clone(),Dt(2)])])]);break;case"atan":ac=!0,cc=new f("+","add",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)]);break;case"asec":ac=!0,cc=new f("*","multiply",[new g("abs",[tc.clone()]),new g("sqrt",[new f("-","subtract",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)])])]);break;case"acsc":ac=!0,sc=!0,cc=new f("*","multiply",[new g("abs",[tc.clone()]),new g("sqrt",[new f("-","subtract",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)])])]);break;case"acot":ac=!0,sc=!0,cc=new f("+","add",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)]);break;case"sinh":cc=new g("cosh",[tc.clone()]);break;case"cosh":cc=new g("sinh",[tc.clone()]);break;case"tanh":cc=new f("^","pow",[new g("sech",[tc.clone()]),Dt(2)]);break;case"sech":sc=!0,cc=new f("*","multiply",[ec,new g("tanh",[tc.clone()])]);break;case"csch":sc=!0,cc=new f("*","multiply",[ec,new g("coth",[tc.clone()])]);break;case"coth":sc=!0,cc=new f("^","pow",[new g("csch",[tc.clone()]),Dt(2)]);break;case"asinh":ac=!0,cc=new g("sqrt",[new f("+","add",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)])]);break;case"acosh":ac=!0,cc=new g("sqrt",[new f("-","subtract",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)])]);break;case"atanh":ac=!0,cc=new f("-","subtract",[Dt(1),new f("^","pow",[tc.clone(),Dt(2)])]);break;case"asech":ac=!0,sc=!0,cc=new f("*","multiply",[tc.clone(),new g("sqrt",[new f("-","subtract",[Dt(1),new f("^","pow",[tc.clone(),Dt(2)])])])]);break;case"acsch":ac=!0,sc=!0,cc=new f("*","multiply",[new g("abs",[tc.clone()]),new g("sqrt",[new f("+","add",[new f("^","pow",[tc.clone(),Dt(2)]),Dt(1)])])]);break;case"acoth":ac=!0,sc=!0,cc=new f("-","subtract",[Dt(1),new f("^","pow",[tc.clone(),Dt(2)])]);break;case"abs":cc=new f("/","divide",[new g(new w("abs"),[tc.clone()]),tc.clone()]);break;case"gamma":default:throw new Error('Cannot process function "'+ec.name+'" in derivative: the function is not supported, undefined, or the number of arguments passed to it are not supported')}var uc,lc;ac?(uc="/",lc="divide"):(uc="*",lc="multiply");var e0=Ie(tc,ys);return sc&&(e0=new f("-","unaryMinus",[e0])),new f(uc,lc,[e0,cc])},"OperatorNode, Object":function(ec,ys){if(ys[ec]!==void 0)return Dt(0);if(ec.op==="+")return new f(ec.op,ec.fn,ec.args.map(function(kc){return Ie(kc,ys)}));if(ec.op==="-"){if(ec.isUnary())return new f(ec.op,ec.fn,[Ie(ec.args[0],ys)]);if(ec.isBinary())return new f(ec.op,ec.fn,[Ie(ec.args[0],ys),Ie(ec.args[1],ys)])}if(ec.op==="*"){var tc=ec.args.filter(function(kc){return ys[kc]!==void 0});if(tc.length>0){var nc=ec.args.filter(function(kc){return ys[kc]===void 0}),ac=nc.length===1?nc[0]:new f("*","multiply",nc),sc=tc.concat(Ie(ac,ys));return new f("*","multiply",sc)}return new f("+","add",ec.args.map(function(kc){return new f("*","multiply",ec.args.map(function(Jc){return Jc===kc?Ie(Jc,ys):Jc.clone()}))}))}if(ec.op==="/"&&ec.isBinary()){var cc=ec.args[0],uc=ec.args[1];return ys[uc]!==void 0?new f("/","divide",[Ie(cc,ys),uc]):ys[cc]!==void 0?new f("*","multiply",[new f("-","unaryMinus",[cc]),new f("/","divide",[Ie(uc,ys),new f("^","pow",[uc.clone(),Dt(2)])])]):new f("/","divide",[new f("-","subtract",[new f("*","multiply",[Ie(cc,ys),uc.clone()]),new f("*","multiply",[cc.clone(),Ie(uc,ys)])]),new f("^","pow",[uc.clone(),Dt(2)])])}if(ec.op==="^"&&ec.isBinary()){var lc=ec.args[0],e0=ec.args[1];if(ys[lc]!==void 0)return isConstantNode(lc)&&(u(lc.value)||l(lc.value,1))?Dt(0):new f("*","multiply",[ec,new f("*","multiply",[new g("log",[lc.clone()]),Ie(e0.clone(),ys)])]);if(ys[e0]!==void 0){if(isConstantNode(e0)){if(u(e0.value))return Dt(0);if(l(e0.value,1))return Ie(lc,ys)}var dc=new f("^","pow",[lc.clone(),new f("-","subtract",[e0,Dt(1)])]);return new f("*","multiply",[e0.clone(),new f("*","multiply",[Ie(lc,ys),dc])])}return new f("*","multiply",[new f("^","pow",[lc.clone(),e0.clone()]),new f("+","add",[new f("*","multiply",[Ie(lc,ys),new f("/","divide",[e0.clone(),lc.clone()])]),new f("*","multiply",[Ie(e0,ys),new g("log",[lc.clone()])])])])}throw new Error('Cannot process operator "'+ec.op+'" in derivative: the operator is not supported, undefined, or the number of arguments passed to it are not supported')}});function Dt(Lr,ec){return new m(_(Lr,ec||r.number))}return Ce}),name$t="rationalize",dependencies$s=["config","typed","equal","isZero","add","subtract","multiply","divide","pow","parse","simplifyConstant","simplifyCore","simplify","?bignumber","?fraction","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode","ParenthesisNode"],createRationalize=factory(name$t,dependencies$s,n=>{var{config:t,typed:r,equal:a,isZero:s,add:l,subtract:u,multiply:_,divide:m,pow:g,parse:f,simplifyConstant:x,simplifyCore:w,simplify:Z,fraction:Ce,bignumber:ne,mathWithTransform:$e,matrix:Ie,AccessorNode:Dt,ArrayNode:Lr,ConstantNode:ec,FunctionNode:ys,IndexNode:tc,ObjectNode:nc,OperatorNode:ac,SymbolNode:sc,ParenthesisNode:cc}=n;function uc(Jc){var n0=arguments.length>1&&arguments[1]!==void 0?arguments[1]:{},d0=arguments.length>2&&arguments[2]!==void 0?arguments[2]:!1,t0=e0(),h0=lc(Jc,n0,!0,t0.firstRules),_0=h0.variables.length,c0={exactFractions:!1},f0={exactFractions:!0};if(Jc=h0.expression,_0>=1){Jc=dc(Jc);var q0,D0,$0=!0,k0=!1;Jc=Z(Jc,t0.firstRules,{},c0);for(var R0;D0=$0?t0.distrDivRules:t0.sucDivRules,Jc=Z(Jc,D0,{},f0),$0=!$0,R0=Jc.toString(),R0!==q0;)k0=!0,q0=R0;k0&&(Jc=Z(Jc,t0.firstRulesAgain,{},c0)),Jc=Z(Jc,t0.finalRules,{},c0)}var C0=[],I0={};return Jc.type==="OperatorNode"&&Jc.isBinary()&&Jc.op==="/"?(_0===1&&(Jc.args[0]=kc(Jc.args[0],C0),Jc.args[1]=kc(Jc.args[1])),d0&&(I0.numerator=Jc.args[0],I0.denominator=Jc.args[1])):(_0===1&&(Jc=kc(Jc,C0)),d0&&(I0.numerator=Jc,I0.denominator=null)),d0?(I0.coefficients=C0,I0.variables=h0.variables,I0.expression=Jc,I0):Jc}return r(name$t,{Node:uc,"Node, boolean":(Jc,n0)=>uc(Jc,{},n0),"Node, Object":uc,"Node, Object, boolean":uc});function lc(Jc,n0,d0,t0){var h0=[],_0=Z(Jc,t0,n0,{exactFractions:!1});d0=!!d0;var c0="+-*"+(d0?"/":"");q0(_0);var f0={};return f0.expression=_0,f0.variables=h0,f0;function q0(D0){var $0=D0.type;if($0==="FunctionNode")throw new Error("There is an unsolved function call");if($0==="OperatorNode")if(D0.op==="^"){if(D0.args[1].type!=="ConstantNode"||!isInteger$1(parseFloat(D0.args[1].value)))throw new Error("There is a non-integer exponent");q0(D0.args[0])}else{if(c0.indexOf(D0.op)===-1)throw new Error("Operator "+D0.op+" invalid in polynomial expression");for(var k0=0;k0<D0.args.length;k0++)q0(D0.args[k0])}else if($0==="SymbolNode"){var R0=D0.name,C0=h0.indexOf(R0);C0===-1&&h0.push(R0)}else if($0==="ParenthesisNode")q0(D0.content);else if($0!=="ConstantNode")throw new Error("type "+$0+" is not allowed in polynomial expression")}}function e0(){var Jc=[w,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},x,{l:"n*(n1^-1)",r:"n/n1"},{l:"n*n1^-n2",r:"n/n1^n2"},{l:"n1^-1",r:"1/n1"},{l:"n*(n1/n2)",r:"(n*n1)/n2"},{l:"1*n",r:"n"}],n0=[{l:"(-n1)/(-n2)",r:"n1/n2"},{l:"(-n1)*(-n2)",r:"n1*n2"},{l:"n1--n2",r:"n1+n2"},{l:"n1-n2",r:"n1+(-n2)"},{l:"(n1+n2)*n3",r:"(n1*n3 + n2*n3)"},{l:"n1*(n2+n3)",r:"(n1*n2+n1*n3)"},{l:"c1*n + c2*n",r:"(c1+c2)*n"},{l:"c1*n + n",r:"(c1+1)*n"},{l:"c1*n - c2*n",r:"(c1-c2)*n"},{l:"c1*n - n",r:"(c1-1)*n"},{l:"v/c",r:"(1/c)*v"},{l:"v/-c",r:"-(1/c)*v"},{l:"-v*-c",r:"c*v"},{l:"-v*c",r:"-c*v"},{l:"v*-c",r:"-c*v"},{l:"v*c",r:"c*v"},{l:"-(-n1*n2)",r:"(n1*n2)"},{l:"-(n1*n2)",r:"(-n1*n2)"},{l:"-(-n1+n2)",r:"(n1-n2)"},{l:"-(n1+n2)",r:"(-n1-n2)"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"},{l:"-(-n1/n2)",r:"(n1/n2)"},{l:"-(n1/n2)",r:"(-n1/n2)"}],d0=[{l:"(n1/n2 + n3/n4)",r:"((n1*n4 + n3*n2)/(n2*n4))"},{l:"(n1/n2 + n3)",r:"((n1 + n3*n2)/n2)"},{l:"(n1 + n2/n3)",r:"((n1*n3 + n2)/n3)"}],t0=[{l:"(n1/(n2/n3))",r:"((n1*n3)/n2)"},{l:"(n1/n2/n3)",r:"(n1/(n2*n3))"}],h0={};return h0.firstRules=Jc.concat(n0,t0),h0.distrDivRules=d0,h0.sucDivRules=t0,h0.firstRulesAgain=Jc.concat(n0),h0.finalRules=[w,{l:"n*-n",r:"-n^2"},{l:"n*n",r:"n^2"},x,{l:"n*-n^n1",r:"-n^(n1+1)"},{l:"n*n^n1",r:"n^(n1+1)"},{l:"n^n1*-n^n2",r:"-n^(n1+n2)"},{l:"n^n1*n^n2",r:"n^(n1+n2)"},{l:"n^n1*-n",r:"-n^(n1+1)"},{l:"n^n1*n",r:"n^(n1+1)"},{l:"n^n1/-n",r:"-n^(n1-1)"},{l:"n^n1/n",r:"n^(n1-1)"},{l:"n/-n^n1",r:"-n^(1-n1)"},{l:"n/n^n1",r:"n^(1-n1)"},{l:"n^n1/-n^n2",r:"n^(n1-n2)"},{l:"n^n1/n^n2",r:"n^(n1-n2)"},{l:"n1+(-n2*n3)",r:"n1-n2*n3"},{l:"v*(-c)",r:"-c*v"},{l:"n1+-n2",r:"n1-n2"},{l:"v*c",r:"c*v"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"}],h0}function dc(Jc,n0,d0){var t0=Jc.type,h0=arguments.length>1;if(t0==="OperatorNode"&&Jc.isBinary()){var _0=!1,c0;if(Jc.op==="^"&&(Jc.args[0].type==="ParenthesisNode"||Jc.args[0].type==="OperatorNode")&&Jc.args[1].type==="ConstantNode"&&(c0=parseFloat(Jc.args[1].value),_0=c0>=2&&isInteger$1(c0)),_0){if(c0>2){var f0=Jc.args[0],q0=new ac("^","pow",[Jc.args[0].cloneDeep(),new ec(c0-1)]);Jc=new ac("*","multiply",[f0,q0])}else Jc=new ac("*","multiply",[Jc.args[0],Jc.args[0].cloneDeep()]);h0&&(d0==="content"?n0.content=Jc:n0.args[d0]=Jc)}}if(t0==="ParenthesisNode")dc(Jc.content,Jc,"content");else if(t0!=="ConstantNode"&&t0!=="SymbolNode")for(var D0=0;D0<Jc.args.length;D0++)dc(Jc.args[D0],Jc,D0);if(!h0)return Jc}function kc(Jc,n0){n0===void 0&&(n0=[]),n0[0]=0;var d0={};d0.cte=1,d0.oper="+",d0.fire="";var t0=0,h0="";R0(Jc,null,d0),t0=n0.length-1;for(var _0=!0,c0,f0=t0;f0>=0;f0--)if(n0[f0]!==0){var q0=new ec(_0?n0[f0]:Math.abs(n0[f0])),D0=n0[f0]<0?"-":"+";if(f0>0){var $0=new sc(h0);if(f0>1){var k0=new ec(f0);$0=new ac("^","pow",[$0,k0])}n0[f0]===-1&&_0?q0=new ac("-","unaryMinus",[$0]):Math.abs(n0[f0])===1?q0=$0:q0=new ac("*","multiply",[q0,$0])}_0?c0=q0:D0==="+"?c0=new ac("+","add",[c0,q0]):c0=new ac("-","subtract",[c0,q0]),_0=!1}if(_0)return new ec(0);return c0;function R0(C0,I0,Y0){var K0=C0.type;if(K0==="FunctionNode")throw new Error("There is an unsolved function call");if(K0==="OperatorNode"){if("+-*^".indexOf(C0.op)===-1)throw new Error("Operator "+C0.op+" invalid");if(I0!==null){if((C0.fn==="unaryMinus"||C0.fn==="pow")&&I0.fn!=="add"&&I0.fn!=="subtract"&&I0.fn!=="multiply")throw new Error("Invalid "+C0.op+" placing");if((C0.fn==="subtract"||C0.fn==="add"||C0.fn==="multiply")&&I0.fn!=="add"&&I0.fn!=="subtract")throw new Error("Invalid "+C0.op+" placing");if((C0.fn==="subtract"||C0.fn==="add"||C0.fn==="unaryMinus")&&Y0.noFil!==0)throw new Error("Invalid "+C0.op+" placing")}(C0.op==="^"||C0.op==="*")&&(Y0.fire=C0.op);for(var W0=0;W0<C0.args.length;W0++)C0.fn==="unaryMinus"&&(Y0.oper="-"),(C0.op==="+"||C0.fn==="subtract")&&(Y0.fire="",Y0.cte=1,Y0.oper=W0===0?"+":C0.op),Y0.noFil=W0,R0(C0.args[W0],C0,Y0)}else if(K0==="SymbolNode"){if(C0.name!==h0&&h0!=="")throw new Error("There is more than one variable");if(h0=C0.name,I0===null){n0[1]=1;return}if(I0.op==="^"&&Y0.noFil!==0)throw new Error("In power the variable should be the first parameter");if(I0.op==="*"&&Y0.noFil!==1)throw new Error("In multiply the variable should be the second parameter");(Y0.fire===""||Y0.fire==="*")&&(t0<1&&(n0[1]=0),n0[1]+=Y0.cte*(Y0.oper==="+"?1:-1),t0=Math.max(1,t0))}else if(K0==="ConstantNode"){var r0=parseFloat(C0.value);if(I0===null){n0[0]=r0;return}if(I0.op==="^"){if(Y0.noFil!==1)throw new Error("Constant cannot be powered");if(!isInteger$1(r0)||r0<=0)throw new Error("Non-integer exponent is not allowed");for(var b0=t0+1;b0<r0;b0++)n0[b0]=0;r0>t0&&(n0[r0]=0),n0[r0]+=Y0.cte*(Y0.oper==="+"?1:-1),t0=Math.max(r0,t0);return}Y0.cte=r0,Y0.fire===""&&(n0[0]+=Y0.cte*(Y0.oper==="+"?1:-1))}else throw new Error("Type "+K0+" is not allowed")}}}),name$s="zpk2tf",dependencies$r=["typed","add","multiply","Complex","number"],createZpk2tf=factory(name$s,dependencies$r,n=>{var{typed:t,add:r,multiply:a,Complex:s,number:l}=n;return t(name$s,{"Array,Array,number":function(g,f,x){return u(g,f,x)},"Array,Array":function(g,f){return u(g,f,1)},"Matrix,Matrix,number":function(g,f,x){return u(g.valueOf(),f.valueOf(),x)},"Matrix,Matrix":function(g,f){return u(g.valueOf(),f.valueOf(),1)}});function u(m,g,f){m.some(Dt=>Dt.type==="BigNumber")&&(m=m.map(Dt=>l(Dt))),g.some(Dt=>Dt.type==="BigNumber")&&(g=g.map(Dt=>l(Dt)));for(var x=[s(1,0)],w=[s(1,0)],Z=0;Z<m.length;Z++){var Ce=m[Z];typeof Ce=="number"&&(Ce=s(Ce,0)),x=_(x,[s(1,0),s(-Ce.re,-Ce.im)])}for(var ne=0;ne<g.length;ne++){var $e=g[ne];typeof $e=="number"&&($e=s($e,0)),w=_(w,[s(1,0),s(-$e.re,-$e.im)])}for(var Ie=0;Ie<x.length;Ie++)x[Ie]=a(x[Ie],f);return[x,w]}function _(m,g){for(var f=[],x=0;x<m.length+g.length-1;x++){f[x]=s(0,0);for(var w=0;w<m.length;w++)x-w>=0&&x-w<g.length&&(f[x]=r(f[x],a(m[w],g[x-w])))}return f}}),name$r="freqz",dependencies$q=["typed","add","multiply","Complex","divide","matrix"],createFreqz=factory(name$r,dependencies$q,n=>{var{typed:t,add:r,multiply:a,Complex:s,divide:l,matrix:u}=n;return t(name$r,{"Array, Array":function(f,x){var w=m(512);return _(f,x,w)},"Array, Array, Array":function(f,x,w){return _(f,x,w)},"Array, Array, number":function(f,x,w){if(w<0)throw new Error("w must be a positive number");var Z=m(w);return _(f,x,Z)},"Matrix, Matrix":function(f,x){var w=m(512),{w:Z,h:Ce}=_(f.valueOf(),x.valueOf(),w);return{w:u(Z),h:u(Ce)}},"Matrix, Matrix, Matrix":function(f,x,w){var{h:Z}=_(f.valueOf(),x.valueOf(),w.valueOf());return{h:u(Z),w:u(w)}},"Matrix, Matrix, number":function(f,x,w){if(w<0)throw new Error("w must be a positive number");var Z=m(w),{h:Ce}=_(f.valueOf(),x.valueOf(),Z);return{h:u(Ce),w:u(Z)}}});function _(g,f,x){for(var w=[],Z=[],Ce=0;Ce<x.length;Ce++){for(var ne=s(0,0),$e=s(0,0),Ie=0;Ie<g.length;Ie++)ne=r(ne,a(g[Ie],s(Math.cos(-Ie*x[Ce]),Math.sin(-Ie*x[Ce]))));for(var Dt=0;Dt<f.length;Dt++)$e=r($e,a(f[Dt],s(Math.cos(-Dt*x[Ce]),Math.sin(-Dt*x[Ce]))));w.push(ne),Z.push($e)}for(var Lr=[],ec=0;ec<w.length;ec++)Lr.push(l(w[ec],Z[ec]));return{h:Lr,w:x}}function m(g){for(var f=[],x=0;x<g;x++)f.push(x/g*Math.PI);return f}}),name$q="reviver",dependencies$p=["classes"],createReviver=factory(name$q,dependencies$p,n=>{var{classes:t}=n;return function(a,s){var l=t[s&&s.mathjs];return l&&typeof l.fromJSON=="function"?l.fromJSON(s):s}}),name$p="replacer",dependencies$o=[],createReplacer=factory(name$p,dependencies$o,()=>function(t,r){return typeof r=="number"&&(!isFinite(r)||isNaN(r))?{mathjs:"number",value:String(r)}:r}),version$3="12.3.0",createTrue=factory("true",[],()=>!0),createFalse=factory("false",[],()=>!1),createNull=factory("null",[],()=>null),createInfinity=recreateFactory("Infinity",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(1/0):1/0}),createNaN=recreateFactory("NaN",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(NaN):NaN}),createPi=recreateFactory("pi",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?createBigNumberPi(r):pi$2}),createTau=recreateFactory("tau",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?createBigNumberTau(r):tau$1}),createE=recreateFactory("e",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?createBigNumberE(r):e$1}),createPhi=recreateFactory("phi",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?createBigNumberPhi(r):phi$1}),createLN2=recreateFactory("LN2",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(2).ln():Math.LN2}),createLN10=recreateFactory("LN10",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(10).ln():Math.LN10}),createLOG2E=recreateFactory("LOG2E",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(1).div(new r(2).ln()):Math.LOG2E}),createLOG10E=recreateFactory("LOG10E",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(1).div(new r(10).ln()):Math.LOG10E}),createSQRT1_2=recreateFactory("SQRT1_2",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r("0.5").sqrt():Math.SQRT1_2}),createSQRT2=recreateFactory("SQRT2",["config","?BigNumber"],n=>{var{config:t,BigNumber:r}=n;return t.number==="BigNumber"?new r(2).sqrt():Math.SQRT2}),createI=recreateFactory("i",["Complex"],n=>{var{Complex:t}=n;return t.I}),createUppercasePi=factory("PI",["pi"],n=>{var{pi:t}=n;return t}),createUppercaseE=factory("E",["e"],n=>{var{e:t}=n;return t}),createVersion=factory("version",[],()=>version$3);function recreateFactory(n,t,r){return factory(n,t,r,{recreateOnConfigChange:!0})}var createSpeedOfLight=unitFactory("speedOfLight","299792458","m s^-1"),createGravitationConstant=unitFactory("gravitationConstant","6.67430e-11","m^3 kg^-1 s^-2"),createPlanckConstant=unitFactory("planckConstant","6.62607015e-34","J s"),createReducedPlanckConstant=unitFactory("reducedPlanckConstant","1.0545718176461565e-34","J s"),createMagneticConstant=unitFactory("magneticConstant","1.25663706212e-6","N A^-2"),createElectricConstant=unitFactory("electricConstant","8.8541878128e-12","F m^-1"),createVacuumImpedance=unitFactory("vacuumImpedance","376.730313667","ohm"),createCoulomb=unitFactory("coulomb","8.987551792261171e9","N m^2 C^-2"),createElementaryCharge=unitFactory("elementaryCharge","1.602176634e-19","C"),createBohrMagneton=unitFactory("bohrMagneton","9.2740100783e-24","J T^-1"),createConductanceQuantum=unitFactory("conductanceQuantum","7.748091729863649e-5","S"),createInverseConductanceQuantum=unitFactory("inverseConductanceQuantum","12906.403729652257","ohm"),createMagneticFluxQuantum=unitFactory("magneticFluxQuantum","2.0678338484619295e-15","Wb"),createNuclearMagneton=unitFactory("nuclearMagneton","5.0507837461e-27","J T^-1"),createKlitzing=unitFactory("klitzing","25812.807459304513","ohm"),createBohrRadius=unitFactory("bohrRadius","5.29177210903e-11","m"),createClassicalElectronRadius=unitFactory("classicalElectronRadius","2.8179403262e-15","m"),createElectronMass=unitFactory("electronMass","9.1093837015e-31","kg"),createFermiCoupling=unitFactory("fermiCoupling","1.1663787e-5","GeV^-2"),createFineStructure=numberFactory("fineStructure",.0072973525693),createHartreeEnergy=unitFactory("hartreeEnergy","4.3597447222071e-18","J"),createProtonMass=unitFactory("protonMass","1.67262192369e-27","kg"),createDeuteronMass=unitFactory("deuteronMass","3.3435830926e-27","kg"),createNeutronMass=unitFactory("neutronMass","1.6749271613e-27","kg"),createQuantumOfCirculation=unitFactory("quantumOfCirculation","3.6369475516e-4","m^2 s^-1"),createRydberg=unitFactory("rydberg","10973731.568160","m^-1"),createThomsonCrossSection=unitFactory("thomsonCrossSection","6.6524587321e-29","m^2"),createWeakMixingAngle=numberFactory("weakMixingAngle",.2229),createEfimovFactor=numberFactory("efimovFactor",22.7),createAtomicMass=unitFactory("atomicMass","1.66053906660e-27","kg"),createAvogadro=unitFactory("avogadro","6.02214076e23","mol^-1"),createBoltzmann=unitFactory("boltzmann","1.380649e-23","J K^-1"),createFaraday=unitFactory("faraday","96485.33212331001","C mol^-1"),createFirstRadiation=unitFactory("firstRadiation","3.7417718521927573e-16","W m^2"),createLoschmidt=unitFactory("loschmidt","2.686780111798444e25","m^-3"),createGasConstant=unitFactory("gasConstant","8.31446261815324","J K^-1 mol^-1"),createMolarPlanckConstant=unitFactory("molarPlanckConstant","3.990312712893431e-10","J s mol^-1"),createMolarVolume=unitFactory("molarVolume","0.022413969545014137","m^3 mol^-1"),createSackurTetrode=numberFactory("sackurTetrode",-1.16487052358),createSecondRadiation=unitFactory("secondRadiation","0.014387768775039337","m K"),createStefanBoltzmann=unitFactory("stefanBoltzmann","5.67037441918443e-8","W m^-2 K^-4"),createWienDisplacement=unitFactory("wienDisplacement","2.897771955e-3","m K"),createMolarMass=unitFactory("molarMass","0.99999999965e-3","kg mol^-1"),createMolarMassC12=unitFactory("molarMassC12","11.9999999958e-3","kg mol^-1"),createGravity=unitFactory("gravity","9.80665","m s^-2"),createPlanckLength=unitFactory("planckLength","1.616255e-35","m"),createPlanckMass=unitFactory("planckMass","2.176435e-8","kg"),createPlanckTime=unitFactory("planckTime","5.391245e-44","s"),createPlanckCharge=unitFactory("planckCharge","1.87554603778e-18","C"),createPlanckTemperature=unitFactory("planckTemperature","1.416785e+32","K");function unitFactory(n,t,r){var a=["config","Unit","BigNumber"];return factory(n,a,s=>{var{config:l,Unit:u,BigNumber:_}=s,m=l.number==="BigNumber"?new _(t):parseFloat(t),g=new u(m,r);return g.fixPrefix=!0,g})}function numberFactory(n,t){var r=["config","BigNumber"];return factory(n,r,a=>{var{config:s,BigNumber:l}=a;return s.number==="BigNumber"?new l(t):t})}var name$o="apply",dependencies$n=["typed","isInteger"],createApplyTransform=factory(name$o,dependencies$n,n=>{var{typed:t,isInteger:r}=n,a=createApply({typed:t,isInteger:r});return t("apply",{"...any":function(l){var u=l[1];isNumber(u)?l[1]=u-1:isBigNumber(u)&&(l[1]=u.minus(1));try{return a.apply(null,l)}catch(_){throw errorTransform(_)}}})},{isTransformFunction:!0}),name$n="column",dependencies$m=["typed","Index","matrix","range"],createColumnTransform=factory(name$n,dependencies$m,n=>{var{typed:t,Index:r,matrix:a,range:s}=n,l=createColumn({typed:t,Index:r,matrix:a,range:s});return t("column",{"...any":function(_){var m=_.length-1,g=_[m];isNumber(g)&&(_[m]=g-1);try{return l.apply(null,_)}catch(f){throw errorTransform(f)}}})},{isTransformFunction:!0});function compileInlineExpression(n,t,r){var a=n.filter(function(_){return isSymbolNode(_)&&!(_.name in t)&&!r.has(_.name)})[0];if(!a)throw new Error('No undefined variable found in inline expression "'+n+'"');var s=a.name,l=createSubScope(r),u=n.compile();return function(m){return l.set(s,m),u.evaluate(l)}}var name$m="filter",dependencies$l=["typed"],createFilterTransform=factory(name$m,dependencies$l,n=>{var{typed:t}=n;function r(s,l,u){var _,m;return s[0]&&(_=s[0].compile().evaluate(u)),s[1]&&(isSymbolNode(s[1])||isFunctionAssignmentNode(s[1])?m=s[1].compile().evaluate(u):m=compileInlineExpression(s[1],l,u)),a(_,m)}r.rawArgs=!0;var a=t("filter",{"Array, function":_filter,"Matrix, function":function(l,u){return l.create(_filter(l.toArray(),u))},"Array, RegExp":filterRegExp,"Matrix, RegExp":function(l,u){return l.create(filterRegExp(l.toArray(),u))}});return r},{isTransformFunction:!0});function _filter(n,t){return filter$1(n,function(r,a,s){return applyCallback(t,r,[a+1],s,"filter")})}var name$l="forEach",dependencies$k=["typed"],createForEachTransform=factory(name$l,dependencies$k,n=>{var{typed:t}=n;function r(s,l,u){var _,m;return s[0]&&(_=s[0].compile().evaluate(u)),s[1]&&(isSymbolNode(s[1])||isFunctionAssignmentNode(s[1])?m=s[1].compile().evaluate(u):m=compileInlineExpression(s[1],l,u)),a(_,m)}r.rawArgs=!0;var a=t("forEach",{"Array | Matrix, function":function(l,u){var _=function m(g,f){if(Array.isArray(g))forEach$1(g,function(x,w){m(x,f.concat(w+1))});else return applyCallback(u,g,f,l,"forEach")};_(l.valueOf(),[])}});return r},{isTransformFunction:!0}),name$k="index",dependencies$j=["Index","getMatrixDataType"],createIndexTransform=factory(name$k,dependencies$j,n=>{var{Index:t,getMatrixDataType:r}=n;return function(){for(var s=[],l=0,u=arguments.length;l<u;l++){var _=arguments[l];if(isRange(_))_.start--,_.end-=_.step>0?0:2;else if(_&&_.isSet===!0)_=_.map(function(g){return g-1});else if(isArray$1(_)||isMatrix(_))r(_)!=="boolean"&&(_=_.map(function(g){return g-1}));else if(isNumber(_))_--;else if(isBigNumber(_))_=_.toNumber()-1;else if(typeof _!="string")throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");s[l]=_}var m=new t;return t.apply(m,s),m}},{isTransformFunction:!0}),name$j="map",dependencies$i=["typed"],createMapTransform=factory(name$j,dependencies$i,n=>{var{typed:t}=n;function r(s,l,u){var _,m;return s[0]&&(_=s[0].compile().evaluate(u)),s[1]&&(isSymbolNode(s[1])||isFunctionAssignmentNode(s[1])?m=s[1].compile().evaluate(u):m=compileInlineExpression(s[1],l,u)),a(_,m)}r.rawArgs=!0;var a=t("map",{"Array, function":function(l,u){return _map(l,u,l)},"Matrix, function":function(l,u){return l.create(_map(l.valueOf(),u,l))}});return r},{isTransformFunction:!0});function _map(n,t,r){function a(s,l){return Array.isArray(s)?map$1(s,function(u,_){return a(u,l.concat(_+1))}):applyCallback(t,s,l,r,"map")}return a(n,[])}function lastDimToZeroBase(n){if(n.length===2&&isCollection(n[0])){n=n.slice();var t=n[1];isNumber(t)?n[1]=t-1:isBigNumber(t)&&(n[1]=t.minus(1))}return n}var name$i="max",dependencies$h=["typed","config","numeric","larger"],createMaxTransform=factory(name$i,dependencies$h,n=>{var{typed:t,config:r,numeric:a,larger:s}=n,l=createMax({typed:t,config:r,numeric:a,larger:s});return t("max",{"...any":function(_){_=lastDimToZeroBase(_);try{return l.apply(null,_)}catch(m){throw errorTransform(m)}}})},{isTransformFunction:!0}),name$h="mean",dependencies$g=["typed","add","divide"],createMeanTransform=factory(name$h,dependencies$g,n=>{var{typed:t,add:r,divide:a}=n,s=createMean({typed:t,add:r,divide:a});return t("mean",{"...any":function(u){u=lastDimToZeroBase(u);try{return s.apply(null,u)}catch(_){throw errorTransform(_)}}})},{isTransformFunction:!0}),name$g="min",dependencies$f=["typed","config","numeric","smaller"],createMinTransform=factory(name$g,dependencies$f,n=>{var{typed:t,config:r,numeric:a,smaller:s}=n,l=createMin({typed:t,config:r,numeric:a,smaller:s});return t("min",{"...any":function(_){_=lastDimToZeroBase(_);try{return l.apply(null,_)}catch(m){throw errorTransform(m)}}})},{isTransformFunction:!0}),name$f="range",dependencies$e=["typed","config","?matrix","?bignumber","smaller","smallerEq","larger","largerEq","add","isPositive"],createRangeTransform=factory(name$f,dependencies$e,n=>{var{typed:t,config:r,matrix:a,bignumber:s,smaller:l,smallerEq:u,larger:_,largerEq:m,add:g,isPositive:f}=n,x=createRange({typed:t,config:r,matrix:a,bignumber:s,smaller:l,smallerEq:u,larger:_,largerEq:m,add:g,isPositive:f});return t("range",{"...any":function(Z){var Ce=Z.length-1,ne=Z[Ce];return typeof ne!="boolean"&&Z.push(!0),x.apply(null,Z)}})},{isTransformFunction:!0}),name$e="row",dependencies$d=["typed","Index","matrix","range"],createRowTransform=factory(name$e,dependencies$d,n=>{var{typed:t,Index:r,matrix:a,range:s}=n,l=createRow({typed:t,Index:r,matrix:a,range:s});return t("row",{"...any":function(_){var m=_.length-1,g=_[m];isNumber(g)&&(_[m]=g-1);try{return l.apply(null,_)}catch(f){throw errorTransform(f)}}})},{isTransformFunction:!0}),name$d="subset",dependencies$c=["typed","matrix","zeros","add"],createSubsetTransform=factory(name$d,dependencies$c,n=>{var{typed:t,matrix:r,zeros:a,add:s}=n,l=createSubset({typed:t,matrix:r,zeros:a,add:s});return t("subset",{"...any":function(_){try{return l.apply(null,_)}catch(m){throw errorTransform(m)}}})},{isTransformFunction:!0}),name$c="concat",dependencies$b=["typed","matrix","isInteger"],createConcatTransform=factory(name$c,dependencies$b,n=>{var{typed:t,matrix:r,isInteger:a}=n,s=createConcat({typed:t,matrix:r,isInteger:a});return t("concat",{"...any":function(u){var _=u.length-1,m=u[_];isNumber(m)?u[_]=m-1:isBigNumber(m)&&(u[_]=m.minus(1));try{return s.apply(null,u)}catch(g){throw errorTransform(g)}}})},{isTransformFunction:!0}),name$b="diff",dependencies$a=["typed","matrix","subtract","number","bignumber"],createDiffTransform=factory(name$b,dependencies$a,n=>{var{typed:t,matrix:r,subtract:a,number:s,bignumber:l}=n,u=createDiff({typed:t,matrix:r,subtract:a,number:s,bignumber:l});return t(name$b,{"...any":function(m){m=lastDimToZeroBase(m);try{return u.apply(null,m)}catch(g){throw errorTransform(g)}}})},{isTransformFunction:!0}),name$a="std",dependencies$9=["typed","map","sqrt","variance"],createStdTransform=factory(name$a,dependencies$9,n=>{var{typed:t,map:r,sqrt:a,variance:s}=n,l=createStd({typed:t,map:r,sqrt:a,variance:s});return t("std",{"...any":function(_){_=lastDimToZeroBase(_);try{return l.apply(null,_)}catch(m){throw errorTransform(m)}}})},{isTransformFunction:!0}),name$9="sum",dependencies$8=["typed","config","add","numeric"],createSumTransform=factory(name$9,dependencies$8,n=>{var{typed:t,config:r,add:a,numeric:s}=n,l=createSum({typed:t,config:r,add:a,numeric:s});return t(name$9,{"...any":function(_){_=lastDimToZeroBase(_);try{return l.apply(null,_)}catch(m){throw errorTransform(m)}}})},{isTransformFunction:!0}),name$8="quantileSeq",dependencies$7=["typed","bignumber","add","subtract","divide","multiply","partitionSelect","compare","isInteger","smaller","smallerEq","larger"],createQuantileSeqTransform=factory(name$8,dependencies$7,n=>{var{typed:t,bignumber:r,add:a,subtract:s,divide:l,multiply:u,partitionSelect:_,compare:m,isInteger:g,smaller:f,smallerEq:x,larger:w}=n,Z=createQuantileSeq({typed:t,bignumber:r,add:a,subtract:s,divide:l,multiply:u,partitionSelect:_,compare:m,isInteger:g,smaller:f,smallerEq:x,larger:w});return t("quantileSeq",{"Array | Matrix, number | BigNumber":Z,"Array | Matrix, number | BigNumber, number":(ne,$e,Ie)=>Z(ne,$e,Ce(Ie)),"Array | Matrix, number | BigNumber, boolean":Z,"Array | Matrix, number | BigNumber, boolean, number":(ne,$e,Ie,Dt)=>Z(ne,$e,Ie,Ce(Dt)),"Array | Matrix, Array | Matrix":Z,"Array | Matrix, Array | Matrix, number":(ne,$e,Ie)=>Z(ne,$e,Ce(Ie)),"Array | Matrix, Array | Matrix, boolean":Z,"Array | Matrix, Array | Matrix, boolean, number":(ne,$e,Ie,Dt)=>Z(ne,$e,Ie,Ce(Dt))});function Ce(ne){return lastDimToZeroBase([[],ne])[1]}},{isTransformFunction:!0}),name$7="cumsum",dependencies$6=["typed","add","unaryPlus"],createCumSumTransform=factory(name$7,dependencies$6,n=>{var{typed:t,add:r,unaryPlus:a}=n,s=createCumSum({typed:t,add:r,unaryPlus:a});return t(name$7,{"...any":function(u){if(u.length===2&&isCollection(u[0])){var _=u[1];isNumber(_)?u[1]=_-1:isBigNumber(_)&&(u[1]=_.minus(1))}try{return s.apply(null,u)}catch(m){throw errorTransform(m)}}})},{isTransformFunction:!0}),name$6="variance",dependencies$5=["typed","add","subtract","multiply","divide","apply","isNaN"],createVarianceTransform=factory(name$6,dependencies$5,n=>{var{typed:t,add:r,subtract:a,multiply:s,divide:l,apply:u,isNaN:_}=n,m=createVariance({typed:t,add:r,subtract:a,multiply:s,divide:l,apply:u,isNaN:_});return t(name$6,{"...any":function(f){f=lastDimToZeroBase(f);try{return m.apply(null,f)}catch(x){throw errorTransform(x)}}})},{isTransformFunction:!0}),name$5="print",dependencies$4=["typed","matrix","zeros","add"],createPrintTransform=factory(name$5,dependencies$4,n=>{var{typed:t,matrix:r,zeros:a,add:s}=n,l=createPrint({typed:t,matrix:r,zeros:a,add:s});return t(name$5,{"string, Object | Array":function(m,g){return l(u(m),g)},"string, Object | Array, number | Object":function(m,g,f){return l(u(m),g,f)}});function u(_){return _.replace(printTemplate,m=>{var g=m.slice(1).split("."),f=g.map(function(x){return!isNaN(x)&&x.length>0?parseInt(x)-1:x});return"$"+f.join(".")})}},{isTransformFunction:!0}),name$4="and",dependencies$3=["typed","matrix","zeros","add","equalScalar","not","concat"],createAndTransform=factory(name$4,dependencies$3,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,not:l,concat:u}=n,_=createAnd({typed:t,matrix:r,equalScalar:a,zeros:s,not:l,concat:u});function m(g,f,x){var w=g[0].compile().evaluate(x);if(!isCollection(w)&&!_(w,!0))return!1;var Z=g[1].compile().evaluate(x);return _(w,Z)}return m.rawArgs=!0,m},{isTransformFunction:!0}),name$3="or",dependencies$2=["typed","matrix","equalScalar","DenseMatrix","concat"],createOrTransform=factory(name$3,dependencies$2,n=>{var{typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l}=n,u=createOr({typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l});function _(m,g,f){var x=m[0].compile().evaluate(f);if(!isCollection(x)&&u(x,!1))return!0;var w=m[1].compile().evaluate(f);return u(x,w)}return _.rawArgs=!0,_},{isTransformFunction:!0}),name$2="bitAnd",dependencies$1=["typed","matrix","zeros","add","equalScalar","not","concat"],createBitAndTransform=factory(name$2,dependencies$1,n=>{var{typed:t,matrix:r,equalScalar:a,zeros:s,not:l,concat:u}=n,_=createBitAnd({typed:t,matrix:r,equalScalar:a,zeros:s,not:l,concat:u});function m(g,f,x){var w=g[0].compile().evaluate(x);if(!isCollection(w)){if(isNaN(w))return NaN;if(w===0||w===!1)return 0}var Z=g[1].compile().evaluate(x);return _(w,Z)}return m.rawArgs=!0,m},{isTransformFunction:!0}),name$1="bitOr",dependencies=["typed","matrix","equalScalar","DenseMatrix","concat"],createBitOrTransform=factory(name$1,dependencies,n=>{var{typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l}=n,u=createBitOr({typed:t,matrix:r,equalScalar:a,DenseMatrix:s,concat:l});function _(m,g,f){var x=m[0].compile().evaluate(f);if(!isCollection(x)){if(isNaN(x))return NaN;if(x===-1)return-1;if(x===!0)return 1}var w=m[1].compile().evaluate(f);return u(x,w)}return _.rawArgs=!0,_},{isTransformFunction:!0}),BigNumber=createBigNumberClass({config:config$1}),Complex=createComplexClass({}),e=createE({BigNumber,config:config$1}),_false=createFalse({}),fineStructure=createFineStructure({BigNumber,config:config$1}),Fraction=createFractionClass({}),i$1=createI({Complex}),_Infinity=createInfinity({BigNumber,config:config$1}),LN10=createLN10({BigNumber,config:config$1}),LOG10E=createLOG10E({BigNumber,config:config$1}),Matrix=createMatrixClass({}),_NaN=createNaN({BigNumber,config:config$1}),_null=createNull({}),phi=createPhi({BigNumber,config:config$1}),Range=createRangeClass({}),ResultSet=createResultSet({}),SQRT1_2=createSQRT1_2({BigNumber,config:config$1}),sackurTetrode=createSackurTetrode({BigNumber,config:config$1}),tau=createTau({BigNumber,config:config$1}),_true=createTrue({}),version$2=createVersion({}),DenseMatrix=createDenseMatrixClass({Matrix}),efimovFactor=createEfimovFactor({BigNumber,config:config$1}),LN2=createLN2({BigNumber,config:config$1}),pi$1=createPi({BigNumber,config:config$1}),replacer=createReplacer({}),SQRT2=createSQRT2({BigNumber,config:config$1}),typed=createTyped({BigNumber,Complex,DenseMatrix,Fraction}),unaryPlus=createUnaryPlus({BigNumber,config:config$1,typed}),weakMixingAngle=createWeakMixingAngle({BigNumber,config:config$1}),abs$1=createAbs({typed}),acos=createAcos({Complex,config:config$1,typed}),acot=createAcot({BigNumber,typed}),acsc=createAcsc({BigNumber,Complex,config:config$1,typed}),addScalar=createAddScalar({typed}),arg=createArg({typed}),asech=createAsech({BigNumber,Complex,config:config$1,typed}),asinh=createAsinh({typed}),atan=createAtan({typed}),atanh=createAtanh({Complex,config:config$1,typed}),bignumber=createBignumber({BigNumber,typed}),bitNot=createBitNot({typed}),boolean=createBoolean({typed}),clone$1=createClone({typed}),combinations=createCombinations({typed}),complex=createComplex({Complex,typed}),conj=createConj({typed}),cos=createCos({typed}),cot=createCot({BigNumber,typed}),csc=createCsc({BigNumber,typed}),cube=createCube({typed}),equalScalar=createEqualScalar({config:config$1,typed}),erf=createErf({typed}),exp=createExp({typed}),expm1=createExpm1({Complex,typed}),filter=createFilter({typed}),forEach=createForEach({typed}),format$1=createFormat({typed}),getMatrixDataType=createGetMatrixDataType({typed}),hex=createHex({format:format$1,typed}),im=createIm({typed}),isInteger=createIsInteger({typed}),isNegative=createIsNegative({typed}),isPositive=createIsPositive({typed}),isZero=createIsZero({typed}),LOG2E=createLOG2E({BigNumber,config:config$1}),lgamma=createLgamma({Complex,typed}),log10=createLog10({Complex,config:config$1,typed}),log2=createLog2({Complex,config:config$1,typed}),map=createMap({typed}),multiplyScalar=createMultiplyScalar({typed}),not=createNot({typed}),number=createNumber({typed}),oct=createOct({format:format$1,typed}),pickRandom=createPickRandom({config:config$1,typed}),print=createPrint({typed}),random=createRandom({config:config$1,typed}),re$1=createRe({typed}),sec=createSec({BigNumber,typed}),sign$1=createSign({BigNumber,Fraction,complex,typed}),sin=createSin({typed}),SparseMatrix=createSparseMatrixClass({Matrix,equalScalar,typed}),splitUnit=createSplitUnit({typed}),square=createSquare({typed}),string=createString({typed}),subtractScalar=createSubtractScalar({typed}),tan=createTan({typed}),typeOf=createTypeOf({typed}),acosh=createAcosh({Complex,config:config$1,typed}),acsch=createAcsch({BigNumber,typed}),apply=createApply({isInteger,typed}),asec=createAsec({BigNumber,Complex,config:config$1,typed}),bin$1=createBin({format:format$1,typed}),combinationsWithRep=createCombinationsWithRep({typed}),cosh=createCosh({typed}),csch=createCsch({BigNumber,typed}),isNaN$1=createIsNaN({typed}),isPrime=createIsPrime({typed}),randomInt=createRandomInt({config:config$1,typed}),sech=createSech({BigNumber,typed}),sinh=createSinh({typed}),sparse=createSparse({SparseMatrix,typed}),sqrt=createSqrt({Complex,config:config$1,typed}),tanh=createTanh({typed}),unaryMinus=createUnaryMinus({typed}),acoth=createAcoth({BigNumber,Complex,config:config$1,typed}),coth=createCoth({BigNumber,typed}),fraction$1=createFraction({Fraction,typed}),isNumeric=createIsNumeric({typed}),matrix$1=createMatrix({DenseMatrix,Matrix,SparseMatrix,typed}),matrixFromFunction=createMatrixFromFunction({isZero,matrix:matrix$1,typed}),mode$1=createMode({isNaN:isNaN$1,isNumeric,typed}),numeric$1=createNumeric({bignumber,fraction:fraction$1,number}),prod=createProd({config:config$1,multiplyScalar,numeric:numeric$1,typed}),reshape=createReshape({isInteger,matrix:matrix$1,typed}),size=createSize({matrix:matrix$1,config:config$1,typed}),squeeze=createSqueeze({matrix:matrix$1,typed}),transpose=createTranspose({matrix:matrix$1,typed}),xgcd=createXgcd({BigNumber,config:config$1,matrix:matrix$1,typed}),zeros=createZeros({BigNumber,config:config$1,matrix:matrix$1,typed}),asin=createAsin({Complex,config:config$1,typed}),cbrt=createCbrt({BigNumber,Complex,Fraction,config:config$1,isNegative,matrix:matrix$1,typed,unaryMinus}),concat=createConcat({isInteger,matrix:matrix$1,typed}),count=createCount({prod,size,typed}),ctranspose=createCtranspose({conj,transpose,typed}),diag=createDiag({DenseMatrix,SparseMatrix,matrix:matrix$1,typed}),divideScalar=createDivideScalar({numeric:numeric$1,typed}),dotDivide=createDotDivide({DenseMatrix,concat,divideScalar,equalScalar,matrix:matrix$1,typed}),equal=createEqual({DenseMatrix,concat,equalScalar,matrix:matrix$1,typed}),flatten=createFlatten({matrix:matrix$1,typed}),hasNumericValue=createHasNumericValue({isNumeric,typed}),identity=createIdentity({BigNumber,DenseMatrix,SparseMatrix,config:config$1,matrix:matrix$1,typed}),kron=createKron({matrix:matrix$1,multiplyScalar,typed}),largerEq=createLargerEq({DenseMatrix,concat,config:config$1,matrix:matrix$1,typed}),leftShift=createLeftShift({DenseMatrix,concat,equalScalar,matrix:matrix$1,typed,zeros}),lsolve=createLsolve({DenseMatrix,divideScalar,equalScalar,matrix:matrix$1,multiplyScalar,subtractScalar,typed}),matrixFromColumns=createMatrixFromColumns({flatten,matrix:matrix$1,size,typed}),nthRoot=createNthRoot({BigNumber,concat,equalScalar,matrix:matrix$1,typed}),ones=createOnes({BigNumber,config:config$1,matrix:matrix$1,typed}),qr$1=createQr({addScalar,complex,conj,divideScalar,equal,identity,isZero,matrix:matrix$1,multiplyScalar,sign:sign$1,sqrt,subtractScalar,typed,unaryMinus,zeros}),resize=createResize({config:config$1,matrix:matrix$1}),rightArithShift=createRightArithShift({DenseMatrix,concat,equalScalar,matrix:matrix$1,typed,zeros}),round=createRound({BigNumber,DenseMatrix,equalScalar,matrix:matrix$1,typed,zeros}),smaller=createSmaller({DenseMatrix,concat,config:config$1,matrix:matrix$1,typed}),subtract=createSubtract({DenseMatrix,concat,equalScalar,matrix:matrix$1,subtractScalar,typed,unaryMinus}),to$1=createTo({concat,matrix:matrix$1,typed}),unequal=createUnequal({DenseMatrix,concat,config:config$1,equalScalar,matrix:matrix$1,typed}),usolve=createUsolve({DenseMatrix,divideScalar,equalScalar,matrix:matrix$1,multiplyScalar,subtractScalar,typed}),xor=createXor({DenseMatrix,concat,matrix:matrix$1,typed}),add=createAdd({DenseMatrix,SparseMatrix,addScalar,concat,equalScalar,matrix:matrix$1,typed}),atan2=createAtan2({BigNumber,DenseMatrix,concat,equalScalar,matrix:matrix$1,typed}),bitAnd=createBitAnd({concat,equalScalar,matrix:matrix$1,typed}),bitOr=createBitOr({DenseMatrix,concat,equalScalar,matrix:matrix$1,typed}),bitXor=createBitXor({DenseMatrix,concat,matrix:matrix$1,typed}),catalan=createCatalan({addScalar,combinations,divideScalar,isInteger,isNegative,multiplyScalar,typed}),compare=createCompare({BigNumber,DenseMatrix,Fraction,concat,config:config$1,equalScalar,matrix:matrix$1,typed}),compareText=createCompareText({concat,matrix:matrix$1,typed}),cumsum=createCumSum({add,typed,unaryPlus}),deepEqual=createDeepEqual({equal,typed}),diff=createDiff({matrix:matrix$1,number,subtract,typed}),distance=createDistance({abs:abs$1,addScalar,deepEqual,divideScalar,multiplyScalar,sqrt,subtractScalar,typed}),dot=createDot({addScalar,conj,multiplyScalar,size,typed}),equalText=createEqualText({compareText,isZero,typed}),floor=createFloor({DenseMatrix,config:config$1,equalScalar,matrix:matrix$1,round,typed,zeros}),gcd=createGcd({BigNumber,DenseMatrix,concat,config:config$1,equalScalar,matrix:matrix$1,round,typed,zeros}),hypot=createHypot({abs:abs$1,addScalar,divideScalar,isPositive,multiplyScalar,smaller,sqrt,typed}),ImmutableDenseMatrix=createImmutableDenseMatrixClass({DenseMatrix,smaller}),Index=createIndexClass({ImmutableDenseMatrix,getMatrixDataType}),larger=createLarger({DenseMatrix,concat,config:config$1,matrix:matrix$1,typed}),log$2=createLog({Complex,config:config$1,divideScalar,typed}),lsolveAll=createLsolveAll({DenseMatrix,divideScalar,equalScalar,matrix:matrix$1,multiplyScalar,subtractScalar,typed}),matrixFromRows=createMatrixFromRows({flatten,matrix:matrix$1,size,typed}),min=createMin({config:config$1,numeric:numeric$1,smaller,typed}),mod=createMod({DenseMatrix,concat,config:config$1,equalScalar,matrix:matrix$1,round,typed,zeros}),multiply=createMultiply({addScalar,dot,equalScalar,matrix:matrix$1,multiplyScalar,typed}),nthRoots=createNthRoots({Complex,config:config$1,divideScalar,typed}),or$1=createOr({DenseMatrix,concat,equalScalar,matrix:matrix$1,typed}),partitionSelect=createPartitionSelect({compare,isNaN:isNaN$1,isNumeric,typed}),rightLogShift=createRightLogShift({DenseMatrix,concat,equalScalar,matrix:matrix$1,typed,zeros}),slu=createSlu({SparseMatrix,abs:abs$1,add,divideScalar,larger,largerEq,multiply,subtract,transpose,typed}),subset=createSubset({add,matrix:matrix$1,typed,zeros}),sum=createSum({add,config:config$1,numeric:numeric$1,typed}),trace=createTrace({add,matrix:matrix$1,typed}),usolveAll=createUsolveAll({DenseMatrix,divideScalar,equalScalar,matrix:matrix$1,multiplyScalar,subtractScalar,typed}),zpk2tf=createZpk2tf({Complex,add,multiply,number,typed}),ceil=createCeil({DenseMatrix,config:config$1,equalScalar,matrix:matrix$1,round,typed,zeros}),compareNatural=createCompareNatural({compare,typed}),composition=createComposition({addScalar,combinations,isInteger,isNegative,isPositive,larger,typed}),cross=createCross({matrix:matrix$1,multiply,subtract,typed}),det=createDet({divideScalar,isZero,matrix:matrix$1,multiply,subtractScalar,typed,unaryMinus}),dotMultiply=createDotMultiply({concat,equalScalar,matrix:matrix$1,multiplyScalar,typed}),FibonacciHeap=createFibonacciHeapClass({larger,smaller}),fix=createFix({Complex,DenseMatrix,ceil,equalScalar,floor,matrix:matrix$1,typed,zeros}),index$1=createIndex({Index,typed}),intersect=createIntersect({abs:abs$1,add,addScalar,config:config$1,divideScalar,equalScalar,flatten,isNumeric,isZero,matrix:matrix$1,multiply,multiplyScalar,smaller,subtract,typed}),invmod=createInvmod({BigNumber,add,config:config$1,equal,isInteger,mod,smaller,typed,xgcd}),lcm=createLcm({concat,equalScalar,matrix:matrix$1,typed}),log1p=createLog1p({Complex,config:config$1,divideScalar,log:log$2,typed}),max=createMax({config:config$1,larger,numeric:numeric$1,typed}),setCartesian=createSetCartesian({DenseMatrix,Index,compareNatural,size,subset,typed}),setDistinct=createSetDistinct({DenseMatrix,Index,compareNatural,size,subset,typed}),setIsSubset=createSetIsSubset({Index,compareNatural,size,subset,typed}),setPowerset=createSetPowerset({Index,compareNatural,size,subset,typed}),smallerEq=createSmallerEq({DenseMatrix,concat,config:config$1,matrix:matrix$1,typed}),sort=createSort({compare,compareNatural,matrix:matrix$1,typed}),and=createAnd({concat,equalScalar,matrix:matrix$1,not,typed,zeros}),range$1=createRange({bignumber,matrix:matrix$1,add,config:config$1,isPositive,larger,largerEq,smaller,smallerEq,typed}),row=createRow({Index,matrix:matrix$1,range:range$1,typed}),setDifference=createSetDifference({DenseMatrix,Index,compareNatural,size,subset,typed}),setMultiplicity=createSetMultiplicity({Index,compareNatural,size,subset,typed}),setSymDifference=createSetSymDifference({Index,concat,setDifference,size,subset,typed}),Spa=createSpaClass({FibonacciHeap,addScalar,equalScalar}),column=createColumn({Index,matrix:matrix$1,range:range$1,typed}),inv=createInv({abs:abs$1,addScalar,det,divideScalar,identity,matrix:matrix$1,multiply,typed,unaryMinus}),lup=createLup({DenseMatrix,Spa,SparseMatrix,abs:abs$1,addScalar,divideScalar,equalScalar,larger,matrix:matrix$1,multiplyScalar,subtractScalar,typed,unaryMinus}),pinv=createPinv({Complex,add,ctranspose,deepEqual,divideScalar,dot,dotDivide,equal,inv,matrix:matrix$1,multiply,typed}),pow=createPow({Complex,config:config$1,fraction:fraction$1,identity,inv,matrix:matrix$1,multiply,number,typed}),setIntersect=createSetIntersect({DenseMatrix,Index,compareNatural,size,subset,typed}),setUnion=createSetUnion({Index,concat,setIntersect,setSymDifference,size,subset,typed}),sqrtm=createSqrtm({abs:abs$1,add,identity,inv,map,max,multiply,size,sqrt,subtract,typed}),Unit=createUnitClass({BigNumber,Complex,Fraction,abs:abs$1,addScalar,config:config$1,divideScalar,equal,fix,format:format$1,isNumeric,multiplyScalar,number,pow,round,subtractScalar}),vacuumImpedance=createVacuumImpedance({BigNumber,Unit,config:config$1}),wienDisplacement=createWienDisplacement({BigNumber,Unit,config:config$1}),atomicMass=createAtomicMass({BigNumber,Unit,config:config$1}),bohrMagneton=createBohrMagneton({BigNumber,Unit,config:config$1}),boltzmann=createBoltzmann({BigNumber,Unit,config:config$1}),conductanceQuantum=createConductanceQuantum({BigNumber,Unit,config:config$1}),coulomb=createCoulomb({BigNumber,Unit,config:config$1}),deuteronMass=createDeuteronMass({BigNumber,Unit,config:config$1}),dotPow=createDotPow({DenseMatrix,concat,equalScalar,matrix:matrix$1,pow,typed}),electricConstant=createElectricConstant({BigNumber,Unit,config:config$1}),elementaryCharge=createElementaryCharge({BigNumber,Unit,config:config$1}),expm=createExpm({abs:abs$1,add,identity,inv,multiply,typed}),faraday=createFaraday({BigNumber,Unit,config:config$1}),fft=createFft({addScalar,ceil,conj,divideScalar,dotDivide,exp,i:i$1,log2,matrix:matrix$1,multiplyScalar,pow,tau,typed}),gamma=createGamma({BigNumber,Complex,config:config$1,multiplyScalar,pow,typed}),gravitationConstant=createGravitationConstant({BigNumber,Unit,config:config$1}),hartreeEnergy=createHartreeEnergy({BigNumber,Unit,config:config$1}),ifft=createIfft({conj,dotDivide,fft,typed}),klitzing=createKlitzing({BigNumber,Unit,config:config$1}),loschmidt=createLoschmidt({BigNumber,Unit,config:config$1}),magneticConstant=createMagneticConstant({BigNumber,Unit,config:config$1}),molarMass=createMolarMass({BigNumber,Unit,config:config$1}),molarPlanckConstant=createMolarPlanckConstant({BigNumber,Unit,config:config$1}),neutronMass=createNeutronMass({BigNumber,Unit,config:config$1}),nuclearMagneton=createNuclearMagneton({BigNumber,Unit,config:config$1}),planckCharge=createPlanckCharge({BigNumber,Unit,config:config$1}),planckLength=createPlanckLength({BigNumber,Unit,config:config$1}),planckTemperature=createPlanckTemperature({BigNumber,Unit,config:config$1}),protonMass=createProtonMass({BigNumber,Unit,config:config$1}),quantumOfCirculation=createQuantumOfCirculation({BigNumber,Unit,config:config$1}),reducedPlanckConstant=createReducedPlanckConstant({BigNumber,Unit,config:config$1}),rydberg=createRydberg({BigNumber,Unit,config:config$1}),secondRadiation=createSecondRadiation({BigNumber,Unit,config:config$1}),speedOfLight=createSpeedOfLight({BigNumber,Unit,config:config$1}),stefanBoltzmann=createStefanBoltzmann({BigNumber,Unit,config:config$1}),thomsonCrossSection=createThomsonCrossSection({BigNumber,Unit,config:config$1}),avogadro=createAvogadro({BigNumber,Unit,config:config$1}),bohrRadius=createBohrRadius({BigNumber,Unit,config:config$1}),createUnit=createCreateUnit({Unit,typed}),divide=createDivide({divideScalar,equalScalar,inv,matrix:matrix$1,multiply,typed}),electronMass=createElectronMass({BigNumber,Unit,config:config$1}),factorial=createFactorial({gamma,typed}),firstRadiation=createFirstRadiation({BigNumber,Unit,config:config$1}),gravity=createGravity({BigNumber,Unit,config:config$1}),inverseConductanceQuantum=createInverseConductanceQuantum({BigNumber,Unit,config:config$1}),lusolve=createLusolve({DenseMatrix,lsolve,lup,matrix:matrix$1,slu,typed,usolve}),magneticFluxQuantum=createMagneticFluxQuantum({BigNumber,Unit,config:config$1}),molarMassC12=createMolarMassC12({BigNumber,Unit,config:config$1}),multinomial=createMultinomial({add,divide,factorial,isInteger,isPositive,multiply,typed}),permutations=createPermutations({factorial,typed}),planckMass=createPlanckMass({BigNumber,Unit,config:config$1}),polynomialRoot=createPolynomialRoot({add,cbrt,divide,equalScalar,im,isZero,multiply,re:re$1,sqrt,subtract,typeOf,typed,unaryMinus}),setSize=createSetSize({compareNatural,typed}),solveODE=createSolveODE({abs:abs$1,add,bignumber,divide,isNegative,isPositive,larger,map,matrix:matrix$1,max,multiply,smaller,subtract,typed,unaryMinus}),stirlingS2=createStirlingS2({bignumber,addScalar,combinations,divideScalar,factorial,isInteger,isNegative,larger,multiplyScalar,number,pow,subtractScalar,typed}),unit=createUnitFunction({Unit,typed}),bellNumbers=createBellNumbers({addScalar,isInteger,isNegative,stirlingS2,typed}),eigs=createEigs({abs:abs$1,add,addScalar,atan,bignumber,column,complex,config:config$1,cos,diag,divideScalar,dot,equal,flatten,im,inv,larger,matrix:matrix$1,matrixFromColumns,multiply,multiplyScalar,number,qr:qr$1,re:re$1,reshape,sin,size,smaller,sqrt,subtract,typed,usolve,usolveAll}),fermiCoupling=createFermiCoupling({BigNumber,Unit,config:config$1}),gasConstant=createGasConstant({BigNumber,Unit,config:config$1}),mean=createMean({add,divide,typed}),molarVolume=createMolarVolume({BigNumber,Unit,config:config$1}),planckConstant=createPlanckConstant({BigNumber,Unit,config:config$1}),quantileSeq=createQuantileSeq({bignumber,add,compare,divide,isInteger,larger,multiply,partitionSelect,smaller,smallerEq,subtract,typed}),variance=createVariance({add,apply,divide,isNaN:isNaN$1,multiply,subtract,typed}),classicalElectronRadius=createClassicalElectronRadius({BigNumber,Unit,config:config$1}),median=createMedian({add,compare,divide,partitionSelect,typed}),corr=createCorr({add,divide,matrix:matrix$1,mean,multiply,pow,sqrt,subtract,sum,typed}),freqz=createFreqz({Complex,add,divide,matrix:matrix$1,multiply,typed}),mad=createMad({abs:abs$1,map,median,subtract,typed}),std=createStd({map,sqrt,typed,variance}),zeta=createZeta({BigNumber,Complex,add,config:config$1,divide,equal,factorial,gamma,isNegative,multiply,pi:pi$1,pow,sin,smallerEq,subtract,typed}),norm=createNorm({abs:abs$1,add,conj,ctranspose,eigs,equalScalar,larger,matrix:matrix$1,multiply,pow,smaller,sqrt,typed}),rotationMatrix=createRotationMatrix({BigNumber,DenseMatrix,SparseMatrix,addScalar,config:config$1,cos,matrix:matrix$1,multiplyScalar,norm,sin,typed,unaryMinus}),kldivergence=createKldivergence({divide,dotDivide,isNumeric,log:log$2,map,matrix:matrix$1,multiply,sum,typed}),planckTime=createPlanckTime({BigNumber,Unit,config:config$1}),schur=createSchur({identity,matrix:matrix$1,multiply,norm,qr:qr$1,subtract,typed}),rotate=createRotate({multiply,rotationMatrix,typed}),sylvester=createSylvester({abs:abs$1,add,concat,identity,index:index$1,lusolve,matrix:matrix$1,matrixFromColumns,multiply,range:range$1,schur,subset,subtract,transpose,typed}),lyap=createLyap({matrix:matrix$1,multiply,sylvester,transpose,typed}),math$3={},mathWithTransform={},classes={},Node$2=createNode({mathWithTransform}),ObjectNode=createObjectNode({Node:Node$2}),OperatorNode=createOperatorNode({Node:Node$2}),ParenthesisNode=createParenthesisNode({Node:Node$2}),RelationalNode=createRelationalNode({Node:Node$2}),ArrayNode=createArrayNode({Node:Node$2}),BlockNode=createBlockNode({Node:Node$2,ResultSet}),ConditionalNode=createConditionalNode({Node:Node$2}),ConstantNode=createConstantNode({Node:Node$2}),RangeNode=createRangeNode({Node:Node$2}),reviver=createReviver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 * scratchblocks v3.6.3
 * https://scratchblocks.github.io/
 * Render scratchblocks code to SVG images.
 *
 * Copyright 2013–2023, Tim Radvan
 * @license MIT
 */const movedExtensions={pen:"pen",video:"sensing",music:"sound"},extensions={...movedExtensions,tts:"tts",translate:"translate",microbit:"microbit",wedo:"wedo",makeymakey:"makeymakey",ev3:"ev3",boost:"boost",gdxfor:"gdxfor"},aliasExtensions={wedo2:"wedo",text2speech:"tts"};var scratchCommands=[{id:"MOTION_MOVESTEPS",selector:"forward:",spec:"move %1 steps",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_TURNRIGHT",selector:"turnRight:",spec:"turn @turnRight %1 degrees",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_TURNLEFT",selector:"turnLeft:",spec:"turn @turnLeft %1 degrees",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_POINTINDIRECTION",selector:"heading:",spec:"point in direction %1",inputs:["%d.direction"],shape:"stack",category:"motion"},{id:"MOTION_POINTTOWARDS",selector:"pointTowards:",spec:"point towards %1",inputs:["%m.spriteOrMouse"],shape:"stack",category:"motion"},{id:"MOTION_GOTOXY",selector:"gotoX:y:",spec:"go to x:%1 y:%2",inputs:["%n","%n"],shape:"stack",category:"motion"},{id:"MOTION_GOTO",selector:"gotoSpriteOrMouse:",spec:"go to %1",inputs:["%m.location"],shape:"stack",category:"motion"},{id:"MOTION_GLIDESECSTOXY",selector:"glideSecs:toX:y:elapsed:from:",spec:"glide %1 secs to x:%2 y:%3",inputs:["%n","%n","%n"],shape:"stack",category:"motion"},{id:"MOTION_GLIDETO",spec:"glide %1 secs to %2",inputs:["%n","%m.location"],shape:"stack",category:"motion"},{id:"MOTION_CHANGEXBY",selector:"changeXposBy:",spec:"change x by %1",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_SETX",selector:"xpos:",spec:"set x to %1",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_CHANGEYBY",selector:"changeYposBy:",spec:"change y by %1",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_SETY",selector:"ypos:",spec:"set y to %1",inputs:["%n"],shape:"stack",category:"motion"},{id:"MOTION_SETROTATIONSTYLE",selector:"setRotationStyle",spec:"set rotation style %1",inputs:["%m.rotationStyle"],shape:"stack",category:"motion"},{id:"LOOKS_SAYFORSECS",selector:"say:duration:elapsed:from:",spec:"say %1 for %2 seconds",inputs:["%s","%n"],shape:"stack",category:"looks"},{id:"LOOKS_SAY",selector:"say:",spec:"say %1",inputs:["%s"],shape:"stack",category:"looks"},{id:"LOOKS_THINKFORSECS",selector:"think:duration:elapsed:from:",spec:"think %1 for %2 seconds",inputs:["%s","%n"],shape:"stack",category:"looks"},{id:"LOOKS_THINK",selector:"think:",spec:"think %1",inputs:["%s"],shape:"stack",category:"looks"},{id:"LOOKS_SHOW",selector:"show",spec:"show",inputs:[],shape:"stack",category:"looks"},{id:"LOOKS_HIDE",selector:"hide",spec:"hide",inputs:[],shape:"stack",category:"looks"},{id:"LOOKS_SWITCHCOSTUMETO",selector:"lookLike:",spec:"switch costume to %1",inputs:["%m.costume"],shape:"stack",category:"looks"},{id:"LOOKS_NEXTCOSTUME",selector:"nextCostume",spec:"next costume",inputs:[],shape:"stack",category:"looks"},{id:"LOOKS_NEXTBACKDROP_BLOCK",selector:"nextScene",spec:"next backdrop",inputs:[],shape:"stack",category:"looks"},{id:"LOOKS_SWITCHBACKDROPTO",selector:"startScene",spec:"switch backdrop to %1",inputs:["%m.backdrop"],shape:"stack",category:"looks"},{id:"LOOKS_SWITCHBACKDROPTOANDWAIT",selector:"startSceneAndWait",spec:"switch backdrop to %1 and wait",inputs:["%m.backdrop"],shape:"stack",category:"looks"},{id:"LOOKS_CHANGEEFFECTBY",selector:"changeGraphicEffect:by:",spec:"change %1 effect by %2",inputs:["%m.effect","%n"],shape:"stack",category:"looks"},{id:"LOOKS_SETEFFECTTO",selector:"setGraphicEffect:to:",spec:"set %1 effect to %2",inputs:["%m.effect","%n"],shape:"stack",category:"looks"},{id:"LOOKS_CLEARGRAPHICEFFECTS",selector:"filterReset",spec:"clear graphic effects",inputs:[],shape:"stack",category:"looks"},{id:"LOOKS_CHANGESIZEBY",selector:"changeSizeBy:",spec:"change size by %1",inputs:["%n"],shape:"stack",category:"looks"},{id:"LOOKS_SETSIZETO",selector:"setSizeTo:",spec:"set size to %1%",inputs:["%n"],shape:"stack",category:"looks"},{selector:"comeToFront",spec:"go to front",inputs:[],shape:"stack",category:"looks"},{id:"LOOKS_GOTOFRONTBACK",spec:"go to %1 layer",inputs:["%m"],shape:"stack",category:"looks"},{selector:"goBackByLayers:",spec:"go back %1 layers",inputs:["%n"],shape:"stack",category:"looks"},{id:"LOOKS_GOFORWARDBACKWARDLAYERS",spec:"go %1 %2 layers",inputs:["%m","%n"],shape:"stack",category:"looks"},{id:"SOUND_PLAY",selector:"playSound:",spec:"start sound %1",inputs:["%m.sound"],shape:"stack",category:"sound"},{id:"SOUND_CHANGEEFFECTBY",spec:"change %1 effect by %2",inputs:["%m","%n"],shape:"stack",category:"sound"},{id:"SOUND_SETEFFECTO",spec:"set %1 effect to %2",inputs:["%m","%n"],shape:"stack",category:"sound"},{id:"SOUND_CLEAREFFECTS",spec:"clear sound effects",inputs:[],shape:"stack",category:"sound"},{id:"SOUND_PLAYUNTILDONE",selector:"doPlaySoundAndWait",spec:"play sound %1 until done",inputs:["%m.sound"],shape:"stack",category:"sound"},{id:"SOUND_STOPALLSOUNDS",selector:"stopAllSounds",spec:"stop all sounds",inputs:[],shape:"stack",category:"sound"},{id:"music.playDrumForBeats",selector:"playDrum",spec:"play drum %1 for %2 beats",inputs:["%d.drum","%n"],shape:"stack",category:"music"},{id:"music.restForBeats",selector:"rest:elapsed:from:",spec:"rest for %1 beats",inputs:["%n"],shape:"stack",category:"music"},{id:"music.playNoteForBeats",selector:"noteOn:duration:elapsed:from:",spec:"play note %1 for %2 beats",inputs:["%d.note","%n"],shape:"stack",category:"music"},{id:"music.setInstrument",selector:"instrument:",spec:"set instrument to %1",inputs:["%d.instrument"],shape:"stack",category:"music"},{id:"SOUND_CHANGEVOLUMEBY",selector:"changeVolumeBy:",spec:"change volume by %1",inputs:["%n"],shape:"stack",category:"sound"},{id:"SOUND_SETVOLUMETO",selector:"setVolumeTo:",spec:"set volume to %1%",inputs:["%n"],shape:"stack",category:"sound"},{id:"music.changeTempo",selector:"changeTempoBy:",spec:"change tempo by %1",inputs:["%n"],shape:"stack",category:"music"},{selector:"setTempoTo:",spec:"set tempo to %1 bpm",inputs:["%n"],shape:"stack",category:"sound"},{id:"music.setTempo",selector:"setTempoTo:",spec:"set tempo to %1",inputs:["%n"],shape:"stack",category:"music"},{id:"pen.clear",selector:"clearPenTrails",spec:"erase all",inputs:[],shape:"stack",category:"pen"},{id:"pen.stamp",selector:"stampCostume",spec:"stamp",inputs:[],shape:"stack",category:"pen"},{id:"pen.penDown",selector:"putPenDown",spec:"pen down",inputs:[],shape:"stack",category:"pen"},{id:"pen.penUp",selector:"putPenUp",spec:"pen up",inputs:[],shape:"stack",category:"pen"},{id:"pen.setColor",selector:"penColor:",spec:"set pen color to %1",inputs:["%c"],shape:"stack",category:"pen"},{id:"pen.changeHue",selector:"changePenHueBy:",spec:"change pen color by %1",inputs:["%n"],shape:"stack",category:"pen"},{id:"pen.setColorParam",spec:"set pen %1 to %2",inputs:["%m.color","%c"],shape:"stack",category:"pen"},{id:"pen.changeColorParam",spec:"change pen %1 by %2",inputs:["%m.color","%n"],shape:"stack",category:"pen"},{id:"pen.setHue",selector:"setPenHueTo:",spec:"set pen color to %1",inputs:["%n"],shape:"stack",category:"pen"},{id:"pen.changeShade",selector:"changePenShadeBy:",spec:"change pen shade by %1",inputs:["%n"],shape:"stack",category:"pen"},{id:"pen.setShade",selector:"setPenShadeTo:",spec:"set pen shade to %1",inputs:["%n"],shape:"stack",category:"pen"},{id:"pen.changeSize",selector:"changePenSizeBy:",spec:"change pen size by %1",inputs:["%n"],shape:"stack",category:"pen"},{id:"pen.setSize",selector:"penSize:",spec:"set pen size to %1",inputs:["%n"],shape:"stack",category:"pen"},{id:"EVENT_WHENFLAGCLICKED",selector:"whenGreenFlag",spec:"when @greenFlag clicked",inputs:[],shape:"hat",category:"events"},{id:"EVENT_WHENKEYPRESSED",selector:"whenKeyPressed",spec:"when %1 key pressed",inputs:["%m.key"],shape:"hat",category:"events"},{id:"EVENT_WHENTHISSPRITECLICKED",selector:"whenClicked",spec:"when this sprite clicked",inputs:[],shape:"hat",category:"events"},{id:"EVENT_WHENSTAGECLICKED",spec:"when stage clicked",inputs:[],shape:"hat",category:"events"},{id:"EVENT_WHENBACKDROPSWITCHESTO",selector:"whenSceneStarts",spec:"when backdrop switches to %1",inputs:["%m.backdrop"],shape:"hat",category:"events"},{id:"EVENT_WHENGREATERTHAN",selector:"whenSensorGreaterThan",spec:"when %1 > %2",inputs:["%m.triggerSensor","%n"],shape:"hat",category:"events"},{id:"EVENT_WHENBROADCASTRECEIVED",selector:"whenIReceive",spec:"when I receive %1",inputs:["%m.broadcast"],shape:"hat",category:"events"},{id:"EVENT_BROADCAST",selector:"broadcast:",spec:"broadcast %1",inputs:["%m.broadcast"],shape:"stack",category:"events"},{id:"EVENT_BROADCASTANDWAIT",selector:"doBroadcastAndWait",spec:"broadcast %1 and wait",inputs:["%m.broadcast"],shape:"stack",category:"events"},{id:"CONTROL_WAIT",selector:"wait:elapsed:from:",spec:"wait %1 seconds",inputs:["%n"],shape:"stack",category:"control"},{id:"CONTROL_REPEAT",selector:"doRepeat",spec:"repeat %1",inputs:["%n"],shape:"c-block",category:"control",hasLoopArrow:!0},{id:"CONTROL_FOREVER",selector:"doForever",spec:"forever",inputs:[],shape:"c-block cap",category:"control",hasLoopArrow:!0},{id:"CONTROL_IF",selector:"doIf",spec:"if %1 then",inputs:["%b"],shape:"c-block",category:"control"},{id:"CONTROL_WAITUNTIL",selector:"doWaitUntil",spec:"wait until %1",inputs:["%b"],shape:"stack",category:"control"},{id:"CONTROL_REPEATUNTIL",selector:"doUntil",spec:"repeat until %1",inputs:["%b"],shape:"c-block",category:"control",hasLoopArrow:!0},{id:"CONTROL_STOP",selector:"stopScripts",spec:"stop %1",inputs:["%m.stop"],shape:"cap",category:"control"},{id:"CONTROL_STARTASCLONE",selector:"whenCloned",spec:"when I start as a clone",inputs:[],shape:"hat",category:"control"},{id:"CONTROL_CREATECLONEOF",selector:"createCloneOf",spec:"create clone of %1",inputs:["%m.spriteOnly"],shape:"stack",category:"control"},{id:"CONTROL_DELETETHISCLONE",selector:"deleteClone",spec:"delete this clone",inputs:[],shape:"cap",category:"control"},{id:"SENSING_ASKANDWAIT",selector:"doAsk",spec:"ask %1 and wait",inputs:["%s"],shape:"stack",category:"sensing"},{id:"videoSensing.videoToggle",selector:"setVideoState",spec:"turn video %1",inputs:["%m.videoState"],shape:"stack",category:"video"},{id:"videoSensing.setVideoTransparency",selector:"setVideoTransparency",spec:"set video transparency to %1%",inputs:["%n"],shape:"stack",category:"video"},{id:"videoSensing.whenMotionGreaterThan",spec:"when video motion > %1",inputs:["%n"],shape:"hat",category:"video"},{id:"SENSING_RESETTIMER",selector:"timerReset",spec:"reset timer",inputs:[],shape:"stack",category:"sensing"},{id:"DATA_SETVARIABLETO",selector:"setVar:to:",spec:"set %1 to %2",inputs:["%m.var","%s"],shape:"stack",category:"variables"},{id:"DATA_CHANGEVARIABLEBY",selector:"changeVar:by:",spec:"change %1 by %2",inputs:["%m.var","%n"],shape:"stack",category:"variables"},{id:"DATA_SHOWVARIABLE",selector:"showVariable:",spec:"show variable %1",inputs:["%m.var"],shape:"stack",category:"variables"},{id:"DATA_HIDEVARIABLE",selector:"hideVariable:",spec:"hide variable %1",inputs:["%m.var"],shape:"stack",category:"variables"},{id:"DATA_ADDTOLIST",selector:"append:toList:",spec:"add %1 to %2",inputs:["%s","%m.list"],shape:"stack",category:"list"},{id:"DATA_DELETEOFLIST",selector:"deleteLine:ofList:",spec:"delete %1 of %2",inputs:["%d.listDeleteItem","%m.list"],shape:"stack",category:"list"},{id:"DATA_DELETEALLOFLIST",spec:"delete all of %1",inputs:["%m.list"],shape:"stack",category:"list"},{id:"MOTION_IFONEDGEBOUNCE",selector:"bounceOffEdge",spec:"if on edge, bounce",inputs:[],shape:"stack",category:"motion"},{id:"DATA_INSERTATLIST",selector:"insert:at:ofList:",spec:"insert %1 at %2 of %3",inputs:["%s","%d.listItem","%m.list"],shape:"stack",category:"list"},{id:"DATA_REPLACEITEMOFLIST",selector:"setLine:ofList:to:",spec:"replace item %1 of %2 with %3",inputs:["%d.listItem","%m.list","%s"],shape:"stack",category:"list"},{id:"DATA_SHOWLIST",selector:"showList:",spec:"show list %1",inputs:["%m.list"],shape:"stack",category:"list"},{id:"DATA_HIDELIST",selector:"hideList:",spec:"hide list %1",inputs:["%m.list"],shape:"stack",category:"list"},{id:"SENSING_OF_XPOSITION",selector:"xpos",spec:"x position",inputs:[],shape:"reporter",category:"motion"},{id:"SENSING_OF_YPOSITION",selector:"ypos",spec:"y position",inputs:[],shape:"reporter",category:"motion"},{id:"SENSING_OF_DIRECTION",selector:"heading",spec:"direction",inputs:[],shape:"reporter",category:"motion"},{id:"SENSING_OF_COSTUMENUMBER",selector:"costumeIndex",spec:"costume #",inputs:[],shape:"reporter",category:"looks"},{id:"LOOKS_COSTUMENUMBERNAME",selector:"LOOKS_COSTUMENUMBERNAME",spec:"costume %1",inputs:["%m"],shape:"reporter",category:"looks"},{id:"SENSING_OF_SIZE",selector:"scale",spec:"size",inputs:[],shape:"reporter",category:"looks"},{id:"SENSING_OF_BACKDROPNAME",selector:"sceneName",spec:"backdrop name",inputs:[],shape:"reporter",category:"looks"},{id:"LOOKS_BACKDROPNUMBERNAME",spec:"backdrop %1",inputs:["%m"],shape:"reporter",category:"looks"},{id:"SENSING_OF_BACKDROPNUMBER",selector:"backgroundIndex",spec:"backdrop #",inputs:[],shape:"reporter",category:"looks"},{id:"SOUND_VOLUME",selector:"volume",spec:"volume",inputs:[],shape:"reporter",category:"sound"},{id:"music.getTempo",selector:"tempo",spec:"tempo",inputs:[],shape:"reporter",category:"music"},{id:"SENSING_TOUCHINGOBJECT",selector:"touching:",spec:"touching %1?",inputs:["%m.touching"],shape:"boolean",category:"sensing"},{id:"SENSING_TOUCHINGCOLOR",selector:"touchingColor:",spec:"touching color %1?",inputs:["%c"],shape:"boolean",category:"sensing"},{id:"SENSING_COLORISTOUCHINGCOLOR",selector:"color:sees:",spec:"color %1 is touching %2?",inputs:["%c","%c"],shape:"boolean",category:"sensing"},{id:"SENSING_DISTANCETO",selector:"distanceTo:",spec:"distance to %1",inputs:["%m.spriteOrMouse"],shape:"reporter",category:"sensing"},{id:"SENSING_ANSWER",selector:"answer",spec:"answer",inputs:[],shape:"reporter",category:"sensing"},{id:"SENSING_KEYPRESSED",selector:"keyPressed:",spec:"key %1 pressed?",inputs:["%m.key"],shape:"boolean",category:"sensing"},{id:"SENSING_MOUSEDOWN",selector:"mousePressed",spec:"mouse down?",inputs:[],shape:"boolean",category:"sensing"},{id:"SENSING_MOUSEX",selector:"mouseX",spec:"mouse x",inputs:[],shape:"reporter",category:"sensing"},{id:"SENSING_MOUSEY",selector:"mouseY",spec:"mouse y",inputs:[],shape:"reporter",category:"sensing"},{id:"SENSING_SETDRAGMODE",spec:"set drag mode %1",inputs:["%m"],shape:"stack",category:"sensing"},{id:"SENSING_LOUDNESS",selector:"soundLevel",spec:"loudness",inputs:[],shape:"reporter",category:"sensing"},{id:"videoSensing.videoOn",selector:"senseVideoMotion",spec:"video %1 on %2",inputs:["%m.videoMotionType","%m.stageOrThis"],shape:"reporter",category:"video"},{id:"SENSING_TIMER",selector:"timer",spec:"timer",inputs:[],shape:"reporter",category:"sensing"},{id:"SENSING_OF",selector:"getAttribute:of:",spec:"%1 of %2",inputs:["%m.attribute","%m.spriteOrStage"],shape:"reporter",category:"sensing"},{id:"SENSING_CURRENT",selector:"timeAndDate",spec:"current %1",inputs:["%m.timeAndDate"],shape:"reporter",category:"sensing"},{id:"SENSING_DAYSSINCE2000",selector:"timestamp",spec:"days since 2000",inputs:[],shape:"reporter",category:"sensing"},{id:"SENSING_USERNAME",selector:"getUserName",spec:"username",inputs:[],shape:"reporter",category:"sensing"},{id:"OPERATORS_ADD",selector:"+",spec:"%1 + %2",inputs:["%n","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_SUBTRACT",selector:"-",spec:"%1 - %2",inputs:["%n","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_MULTIPLY",selector:"*",spec:"%1 * %2",inputs:["%n","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_DIVIDE",selector:"/",spec:"%1 / %2",inputs:["%n","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_RANDOM",selector:"randomFrom:to:",spec:"pick random %1 to %2",inputs:["%n","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_LT",selector:"<",spec:"%1 < %2",inputs:["%s","%s"],shape:"boolean",category:"operators"},{id:"OPERATORS_EQUALS",selector:"=",spec:"%1 = %2",inputs:["%s","%s"],shape:"boolean",category:"operators"},{id:"OPERATORS_GT",selector:">",spec:"%1 > %2",inputs:["%s","%s"],shape:"boolean",category:"operators"},{id:"OPERATORS_AND",selector:"&",spec:"%1 and %2",inputs:["%b","%b"],shape:"boolean",category:"operators"},{id:"OPERATORS_OR",selector:"|",spec:"%1 or %2",inputs:["%b","%b"],shape:"boolean",category:"operators"},{id:"OPERATORS_NOT",selector:"not",spec:"not %1",inputs:["%b"],shape:"boolean",category:"operators"},{id:"OPERATORS_JOIN",selector:"concatenate:with:",spec:"join %1 %2",inputs:["%s","%s"],shape:"reporter",category:"operators"},{id:"OPERATORS_LETTEROF",selector:"letter:of:",spec:"letter %1 of %2",inputs:["%n","%s"],shape:"reporter",category:"operators"},{id:"OPERATORS_LENGTH",selector:"stringLength:",spec:"length of %1",inputs:["%s"],shape:"reporter",category:"operators"},{id:"OPERATORS_MOD",selector:"%",spec:"%1 mod %2",inputs:["%n","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_ROUND",selector:"rounded",spec:"round %1",inputs:["%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_MATHOP",selector:"computeFunction:of:",spec:"%1 of %2",inputs:["%m.mathOp","%n"],shape:"reporter",category:"operators"},{id:"OPERATORS_CONTAINS",spec:"%1 contains %2?",inputs:["%s","%s"],shape:"boolean",category:"operators"},{id:"DATA_ITEMOFLIST",selector:"getLine:ofList:",spec:"item %1 of %2",inputs:["%d.listItem","%m.list"],shape:"reporter",category:"list"},{id:"DATA_ITEMNUMOFLIST",spec:"item # of %1 in %2",inputs:["%s","%m.list"],shape:"reporter",category:"list"},{id:"DATA_LENGTHOFLIST",selector:"lineCountOfList:",spec:"length of %1",inputs:["%m.list"],shape:"reporter",category:"list"},{id:"DATA_LISTCONTAINSITEM",selector:"list:contains:",spec:"%1 contains %2?",inputs:["%m.list","%s"],shape:"boolean",category:"list"},{id:"CONTROL_ELSE",spec:"else",inputs:[],shape:"celse",category:"control"},{id:"scratchblocks:end",spec:"end",inputs:[],shape:"cend",category:"control"},{id:"scratchblocks:ellipsis",spec:". . .",inputs:[],shape:"stack",category:"grey"},{id:"scratchblocks:addInput",spec:"%1 @addInput",inputs:["%n"],shape:"ring",category:"grey"},{id:"SENSING_USERID",spec:"user id",inputs:[],shape:"reporter",category:"obsolete"},{selector:"doIf",spec:"if %1",inputs:["%b"],shape:"c-block",category:"obsolete"},{selector:"doForeverIf",spec:"forever if %1",inputs:["%b"],shape:"c-block cap",category:"obsolete"},{selector:"doReturn",spec:"stop script",inputs:[],shape:"cap",category:"obsolete"},{selector:"stopAll",spec:"stop all",inputs:[],shape:"cap",category:"obsolete"},{selector:"lookLike:",spec:"switch to costume %1",inputs:["%m.costume"],shape:"stack",category:"obsolete"},{selector:"nextScene",spec:"next background",inputs:[],shape:"stack",category:"obsolete"},{selector:"startScene",spec:"switch to background %1",inputs:["%m.backdrop"],shape:"stack",category:"obsolete"},{selector:"backgroundIndex",spec:"background #",inputs:[],shape:"reporter",category:"obsolete"},{id:"SENSING_LOUD",selector:"isLoud",spec:"loud?",inputs:[],shape:"boolean",category:"obsolete"},{id:"text2speech.speakAndWaitBlock",spec:"speak %1",inputs:["%s"],shape:"stack",category:"tts"},{id:"text2speech.setVoiceBlock",spec:"set voice to %1",inputs:["%m"],shape:"stack",category:"tts"},{id:"text2speech.setLanguageBlock",spec:"set language to %1",inputs:["%m"],shape:"stack",category:"tts"},{id:"translate.translateBlock",spec:"translate %1 to %2",inputs:["%s","%m"],shape:"reporter",category:"translate"},{id:"translate.viewerLanguage",spec:"language",shape:"reporter",category:"translate"},{id:"makeymakey.whenKeyPressed",spec:"when %1 key pressed",inputs:["%m"],shape:"hat",category:"makeymakey"},{id:"makeymakey.whenKeysPressedInOrder",spec:"when %1 pressed in order",inputs:["%m"],shape:"hat",category:"makeymakey"},{id:"microbit.whenButtonPressed",spec:"when %1 button pressed",inputs:["%m"],shape:"hat",category:"microbit"},{id:"microbit.isButtonPressed",spec:"%1 button pressed?",inputs:["%m"],shape:"boolean",category:"microbit"},{id:"microbit.whenGesture",spec:"when %1",inputs:["%m"],shape:"hat",category:"microbit"},{id:"microbit.displaySymbol",spec:"display %1",inputs:["%m"],shape:"stack",category:"microbit"},{id:"microbit.displayText",spec:"display text %1",inputs:["%s"],shape:"stack",category:"microbit"},{id:"microbit.clearDisplay",spec:"clear display",shape:"stack",category:"microbit"},{id:"microbit.whenTilted",spec:"when tilted %1",inputs:["%m"],shape:"hat",category:"microbit"},{id:"microbit.isTilted",spec:"tilted %1?",inputs:["%m"],shape:"boolean",category:"microbit"},{id:"microbit.tiltAngle",spec:"tilt angle %1",inputs:["%m"],shape:"reporter",category:"microbit"},{id:"microbit.whenPinConnected",spec:"when pin %1 connected",inputs:["%m"],shape:"hat",category:"microbit"},{id:"ev3.motorTurnClockwise",spec:"motor %1 turn this way for %2 seconds",inputs:["%m","%n"],shape:"stack",category:"ev3"},{id:"ev3.motorTurnCounterClockwise",spec:"motor %1 turn that way for %2 seconds",inputs:["%m","%n"],shape:"stack",category:"ev3"},{id:"ev3.motorSetPower",spec:"motor %1 set power %2%",inputs:["%m","%n"],shape:"stack",category:"ev3"},{id:"ev3.getMotorPosition",spec:"motor %1 position",inputs:["%m"],shape:"reporter",category:"ev3"},{id:"ev3.whenButtonPressed",spec:"when button %1 pressed",inputs:["%m"],shape:"hat",category:"ev3"},{id:"ev3.whenDistanceLessThan",spec:"when distance < %1",inputs:["%n"],shape:"hat",category:"ev3"},{id:"ev3.whenBrightnessLessThan",spec:"when brightness < %1",inputs:["%n"],shape:"hat",category:"ev3"},{id:"ev3.buttonPressed",spec:"button %1 pressed?",inputs:["%m"],shape:"boolean",category:"ev3"},{id:"ev3.getDistance",spec:"distance",shape:"reporter",category:"ev3"},{id:"ev3.getBrightness",spec:"brightness",shape:"reporter",category:"ev3"},{id:"ev3.beepNote",spec:"beep note %1 for %2 secs",inputs:["%d.note","%n"],shape:"stack",category:"ev3"},{id:"wedo2.motorOn",spec:"turn %1 on",inputs:["%m.motor"],shape:"stack",category:"wedo"},{id:"wedo2.motorOff",spec:"turn %1 off",inputs:["%m.motor"],shape:"stack",category:"wedo"},{id:"wedo2.startMotorPower",spec:"set %1 power to %2",inputs:["%m.motor","%n"],shape:"stack",category:"wedo"},{id:"wedo2.setMotorDirection",spec:"set %1 direction to %2",inputs:["%m.motor2","%m.motorDirection"],shape:"stack",category:"wedo"},{id:"wedo2.whenDistance",spec:"when distance %1 %2",inputs:["%m.lessMore","%n"],shape:"hat",category:"wedo"},{id:"wedo2.getDistance",spec:"distance",inputs:[],shape:"reporter",category:"wedo"},{id:"wedo2.motorOnFor",spec:"turn %1 on for %2 seconds",inputs:["%m.motor","%n"],shape:"stack",category:"wedo"},{id:"wedo2.setLightHue",spec:"set light color to %1",inputs:["%n"],shape:"stack",category:"wedo"},{id:"wedo2.playNoteFor",spec:"play note %1 for %2 seconds",inputs:["%n","%n"],shape:"stack",category:"wedo"},{id:"wedo2.whenTilted",spec:"when tilted %1",inputs:["%m.xxx"],shape:"hat",category:"wedo"},{id:"wedo2.isTilted",spec:"tilted %1?",inputs:["%m"],shape:"boolean",category:"wedo"},{id:"wedo2.getTiltAngle",spec:"tilt angle %1",inputs:["%m.xxx"],shape:"reporter",category:"wedo"},{id:"gdxfor.whenGesture",spec:"when %1",inputs:["%m"],shape:"hat",category:"gdxfor"},{id:"gdxfor.whenForcePushedOrPulled",spec:"when force sensor %1",inputs:["%m"],shape:"hat",category:"gdxfor"},{id:"gdxfor.getForce",spec:"force",shape:"reporter",category:"gdxfor"},{id:"gdxfor.whenTilted",spec:"when tilted %1",inputs:["%m"],shape:"hat",category:"gdxfor"},{id:"gdxfor.isTilted",spec:"tilted %1?",inputs:["%m"],shape:"boolean",category:"gdxfor"},{id:"gdxfor.getTilt",spec:"tilt angle %1",inputs:["%m"],shape:"reporter",category:"gdxfor"},{id:"gdxfor.isFreeFalling",spec:"falling?",shape:"boolean",category:"gdxfor"},{id:"gdxfor.getSpin",spec:"spin speed %1",inputs:["%m"],shape:"reporter",category:"gdxfor"},{id:"gdxfor.getAcceleration",spec:"acceleration %1",inputs:["%m"],shape:"reporter",category:"gdxfor"},{id:"boost.motorOnFor",spec:"turn motor %1 for %2 seconds",inputs:["%m","%n"],shape:"stack",category:"boost"},{id:"boost.motorOnForRotation",spec:"turn motor %1 for %2 rotations",inputs:["%m","%n"],shape:"stack",category:"boost"},{id:"boost.motorOn",spec:"turn motor %1 on",inputs:["%m"],shape:"stack",category:"boost"},{id:"boost.motorOff",spec:"turn motor %1 off",inputs:["%m"],shape:"stack",category:"boost"},{id:"boost.setMotorPower",spec:"set motor %1 speed to %2%",inputs:["%m","%n"],shape:"stack",category:"boost"},{id:"boost.setMotorDirection",spec:"set motor %1 direction %2",inputs:["%m","%m"],shape:"stack",category:"boost"},{id:"boost.getMotorPosition",spec:"motor %1 position",inputs:["%m"],shape:"reporter",category:"boost"},{id:"boost.whenColor",spec:"when %1 brick seen",inputs:["%m"],shape:"hat",category:"boost"},{id:"boost.seeingColor",spec:"seeing %1 brick?",inputs:["%m"],shape:"boolean",category:"boost"},{id:"boost.whenTilted",spec:"when tilted %1",inputs:["%m"],shape:"hat",category:"boost"},{id:"boost.getTiltAngle",spec:"tilt angle %1",inputs:["%m"],shape:"reporter",category:"boost"},{id:"boost.setLightHue",spec:"set light color to %1",inputs:["%n"],shape:"stack",category:"boost"}];const overrideCategories=["motion","looks","sound","variables","list","events","control","sensing","operators","custom","custom-arg","extension","grey","obsolete",...Object.keys(extensions),...Object.keys(aliasExtensions)],overrideShapes=["hat","cap","stack","boolean","reporter","ring","cat"],rtlLanguages=["ar","ckb","fa","he"],inputNumberPat=/%([0-9]+)/,inputPat=/(%[a-zA-Z0-9](?:\.[a-zA-Z0-9]+)?)/,inputPatGlobal=new RegExp(inputPat.source,"g"),iconPat=/(@[a-zA-Z]+)/,splitPat=new RegExp(`${inputPat.source}|${iconPat.source}| +`,"g"),hexColorPat=/^#(?:[0-9a-fA-F]{3}){1,2}?$/;function parseInputNumber(n){const t=inputNumberPat.exec(n);return t?+t[1]:0}function parseSpec(n){const t=n.split(splitPat).filter(a=>a),r=t.filter(a=>inputPat.test(a));return{spec:n,parts:t,inputs:r,hash:hashSpec(n)}}function hashSpec(n){return minifyHash(n.replace(inputPatGlobal," _ "))}function minifyHash(n){return n.replace(/_/g," _ ").replace(/ +/g," ").replace(/[,%?:]/g,"").replace(/ß/g,"ss").replace(/ä/g,"a").replace(/ö/g,"o").replace(/ü/g,"u").replace(". . .","...").replace(/^…$/,"...").trim().toLowerCase()}const blocksById={},allBlocks$1=scratchCommands.map(n=>{if(!n.id){if(!n.selector)throw new Error(`Missing ID: ${n.spec}`);n.id=`sb2:${n.selector}`}if(!n.spec)throw new Error(`Missing spec: ${n.id}`);const t={id:n.id,spec:n.spec,parts:n.spec.split(splitPat).filter(r=>r),selector:n.selector||`sb3:${n.id}`,inputs:n.inputs==null?[]:n.inputs,shape:n.shape,category:n.category,hasLoopArrow:!!n.hasLoopArrow};if(blocksById[t.id])throw new Error(`Duplicate ID: ${t.id}`);return blocksById[t.id]=t,t}),unicodeIcons={"@greenFlag":"⚑","@turnRight":"↻","@turnLeft":"↺","@addInput":"▸","@delInput":"◂"},allLanguages={};function loadLanguage(n,t){const r=t.blocksByHash={};Object.keys(t.commands).forEach(a=>{const s=t.commands[a],l=blocksById[a],u=hashSpec(s);r[u]||(r[u]=[]),r[u].push(l);const _=iconPat.exec(l.spec);if(_){const m=_[0],g=u.replace(hashSpec(m),unicodeIcons[m]);r[g]||(r[g]=[]),r[g].push(l)}}),t.nativeAliases={},Object.keys(t.aliases).forEach(a=>{const s=t.aliases[a],l=blocksById[s];if(l===void 0)throw new Error(`Invalid alias '${s}'`);const u=hashSpec(a);r[u]||(r[u]=[]),r[u].push(l),t.nativeAliases[s]||(t.nativeAliases[s]=[]),t.nativeAliases[s].push(a)}),Object.keys(t.renamedBlocks||{}).forEach(a=>{const s=t.renamedBlocks[a];if(!blocksById[s])throw new Error(`Unknown ID: ${s}`);const l=blocksById[s],u=hashSpec(a);english.blocksByHash[u]||(english.blocksByHash[u]=[]),english.blocksByHash[u].push(l)}),t.nativeDropdowns={},Object.keys(t.dropdowns).forEach(a=>{const s=t.dropdowns[a];t.nativeDropdowns[s]=a}),t.code=n,allLanguages[n]=t}function loadLanguages(n){Object.keys(n).forEach(t=>loadLanguage(t,n[t]))}const english={aliases:{"turn ccw %1 degrees":"MOTION_TURNLEFT","turn left %1 degrees":"MOTION_TURNLEFT","turn cw %1 degrees":"MOTION_TURNRIGHT","turn right %1 degrees":"MOTION_TURNRIGHT","when flag clicked":"EVENT_WHENFLAGCLICKED","when gf clicked":"EVENT_WHENFLAGCLICKED","when green flag clicked":"EVENT_WHENFLAGCLICKED"},renamedBlocks:{"say %1 for %2 secs":"LOOKS_SAYFORSECS","think %1 for %2 secs":"LOOKS_THINKFORSECS","play sound %1":"SOUND_PLAY","wait %1 secs":"CONTROL_WAIT",clear:"pen.clear"},definePrefix:["define"],defineSuffix:[],ignorelt:["when distance"],math:["abs","floor","ceiling","sqrt","sin","cos","tan","asin","acos","atan","ln","log","e ^","10 ^"],soundEffects:["pitch","pan left/right"],microbitWhen:["moved","shaken","jumped"],osis:["other scripts in sprite","other scripts in stage"],dropdowns:{},commands:{}};allBlocks$1.forEach(n=>{english.commands[n.id]=n.spec});loadLanguages({en:english});function registerCheck(n,t){if(!blocksById[n])throw new Error(`Unknown ID: ${n}`);blocksById[n].accepts=t}function specialCase(n,t){if(!blocksById[n])throw new Error(`Unknown ID: ${n}`);blocksById[n].specialCase=t}function disambig(n,t,r){registerCheck(n,(a,s,l)=>r(s,l)),registerCheck(t,(a,s,l)=>!r(s,l))}disambig("OPERATORS_MATHOP","SENSING_OF",(n,t)=>{const r=n[0];if(!r.isInput)return;const a=r.value;return t.math.includes(a)});disambig("SOUND_CHANGEEFFECTBY","LOOKS_CHANGEEFFECTBY",(n,t)=>{for(const r of n)if(r.shape==="dropdown"){const a=r.value;for(const s of t.soundEffects)if(minifyHash(s)===minifyHash(a))return!0}return!1});disambig("SOUND_SETEFFECTO","LOOKS_SETEFFECTTO",(n,t)=>{for(const r of n)if(r.shape==="dropdown"){const a=r.value;for(const s of t.soundEffects)if(minifyHash(s)===minifyHash(a))return!0}return!1});disambig("DATA_LENGTHOFLIST","OPERATORS_LENGTH",(n,t)=>{const r=n[n.length-1];if(r.isInput)return r.shape==="dropdown"});disambig("DATA_LISTCONTAINSITEM","OPERATORS_CONTAINS",(n,t)=>{const r=n[0];if(r.isInput)return r.shape==="dropdown"});disambig("pen.setColor","pen.setHue",(n,t)=>{const r=n[n.length-1];return r.isInput&&r.isColor||r.isBlock});disambig("microbit.whenGesture","gdxfor.whenGesture",(n,t)=>{for(const r of n)if(r.shape==="dropdown"){const a=r.value;for(const s of t.microbitWhen)if(minifyHash(s)===minifyHash(a))return!0}return!1});disambig("ev3.buttonPressed","microbit.isButtonPressed",(n,t)=>{for(const r of n)if(r.shape==="dropdown")switch(minifyHash(r.value)){case"1":case"2":case"3":case"4":return!0}return!1});specialCase("CONTROL_STOP",(n,t,r)=>{const a=t[t.length-1];if(!a.isInput)return;const s=a.value;if(r.osis.includes(s))return{...blocksById.CONTROL_STOP,shape:"stack"}});function lookupHash(n,t,r,a){for(const s of a)if(Object.prototype.hasOwnProperty.call(s.blocksByHash,n)){const l=s.blocksByHash[n];for(let u of l)if(!(t.shape==="reporter"&&u.shape!=="reporter"&&u.shape!=="ring")&&!(t.shape==="boolean"&&u.shape!=="boolean")&&!(l.length>1&&u.accepts&&!u.accepts(t,r,s)))return u.specialCase&&(u=u.specialCase(t,r,s)||u),{type:u,lang:s}}}function lookupDropdown(n,t){for(const r of t)if(Object.prototype.hasOwnProperty.call(r.nativeDropdowns,n))return r.nativeDropdowns[n]}function applyOverrides(n,t){for(const r of t)hexColorPat.test(r)?(n.color=r,n.category="",n.categoryIsDefault=!1):overrideCategories.includes(r)?(n.category=r,n.categoryIsDefault=!1):overrideShapes.includes(r)?n.shape=r:r==="loop"?n.hasLoopArrow=!0:(r==="+"||r==="-")&&(n.diff=r)}function blockName(n){const t=[];for(const r of n.children){if(!r.isLabel)return;t.push(r.value)}return t.join(" ")}function assert$2(n,t){if(!n)throw new Error(`Assertion failed! ${t||""}`)}function indent(n){return n.split(`
`).map(t=>`  ${t}`).join(`
`)}class Label{constructor(t,r){this.value=t,this.cls=r||"",this.el=null,this.height=12,this.metrics=null,this.x=0}get isLabel(){return!0}stringify(){return this.value==="<"||this.value===">"?this.value:this.value.replace(/([<>[\](){}])/g,"\\$1")}}class Icon{constructor(t){this.name=t,this.isArrow=t==="loopArrow",assert$2(Icon.icons[t],`no info for icon ${t}`)}get isIcon(){return!0}static get icons(){return{greenFlag:!0,stopSign:!0,turnLeft:!0,turnRight:!0,loopArrow:!0,addInput:!0,delInput:!0,list:!0}}stringify(){return unicodeIcons[`@${this.name}`]||""}}class Input{constructor(t,r,a){this.shape=t,this.value=r,this.menu=a||null,this.isRound=t==="number"||t==="number-dropdown",this.isBoolean=t==="boolean",this.isStack=t==="stack",this.isInset=t==="boolean"||t==="stack"||t==="reporter",this.isColor=t==="color",this.hasArrow=t==="dropdown"||t==="number-dropdown",this.isDarker=t==="boolean"||t==="stack"||t==="dropdown",this.isSquare=t==="string"||t==="color"||t==="dropdown",this.hasLabel=!(this.isColor||this.isInset),this.label=this.hasLabel?new Label(r,`literal-${this.shape}`):null,this.x=0}get isInput(){return!0}stringify(){if(this.isColor)return assert$2(this.value[0]==="#"),`[${this.value}]`;let t=(this.value?String(this.value):"").replace(/([\]\\])/g,"\\$1").replace(/ v$/," \\v");return this.hasArrow&&(t+=" v"),this.isRound?`(${t})`:this.isSquare?`[${t}]`:this.isBoolean?"<>":this.isStack?"{}":t}translate(t){if(this.hasArrow){const r=this.menu||this.value;this.value=r,this.label=new Label(this.value,`literal-${this.shape}`)}}}class Block{constructor(t,r,a){assert$2(t),this.info={...t},this.children=r,this.comment=a||null,this.diff=null;const s=this.info.shape;this.isHat=s==="hat"||s==="cat"||s==="define-hat",this.hasPuzzle=s==="stack"||s==="hat"||s==="cat"||s==="c-block",this.isFinal=/cap/.test(s),this.isCommand=s==="stack"||s==="cap"||/block/.test(s),this.isOutline=s==="outline",this.isReporter=s==="reporter",this.isBoolean=s==="boolean",this.isRing=s==="ring",this.hasScript=/block/.test(s),this.isElse=s==="celse",this.isEnd=s==="cend"}get isBlock(){return!0}stringify(t){let r=null,a=!1,s=this.children.map(_=>(_.isIcon&&(a=!0),!r&&!(_.isLabel||_.isIcon)&&(r=_),_.isScript?`
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`:_.stringify().trim()+" ")).join("").trim();const l=this.info.language;if(a&&l&&this.info.selector){const _=l.nativeAliases[this.info.id];if(_&&_.length){let m=_[0];return inputPat.test(m)&&r&&(m=m.replace(inputPat,r.stringify())),m}}let u=t||"";return(this.info.categoryIsDefault===!1||this.info.category==="custom-arg"&&(this.isReporter||this.isBoolean)||this.info.category==="custom"&&this.info.shape==="stack")&&(u&&(u+=" "),u+=this.info.category),u&&(s+=` :: ${u}`),this.hasScript?s+`
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`).map(r=>`+ ${r}`).join(`
`)}translate(t){this.child.translate(t)}}class Script{constructor(t){this.blocks=t,this.isEmpty=!t.length,this.isFinal=!this.isEmpty&&t[t.length-1].isFinal}get isScript(){return!0}stringify(){return this.blocks.map(t=>{let r=t.stringify();return t.comment&&(r+=` ${t.comment.stringify()}`),r}).join(`
`)}translate(t){this.blocks.forEach(r=>r.translate(t))}}class Document{constructor(t){this.scripts=t}stringify(){return this.scripts.map(t=>t.stringify()).join(`

`)}translate(t){this.scripts.forEach(r=>r.translate(t))}}function assert$1(n,t){if(!n)throw new Error(`Assertion failed! ${t||""}`)}function paintBlock(n,t,r){let a=[];Array.isArray(t[t.length-1])&&(a=t.pop());const s=[];for(const x of t)x.isLabel?s.push(x.value):x.isIcon?s.push(`@${x.name}`):s.push("_");const l=s.join(" "),u=n.hash=minifyHash(l),_=lookupHash(u,n,t,r);let m,g;if(_)m=_.lang,g=_.type,n.language=m,n.isRTL=rtlLanguages.includes(m.code),(g.shape==="ring"?n.shape==="reporter":n.shape==="stack")&&(n.shape=g.shape),n.category=g.category,n.categoryIsDefault=!0,g.selector&&(n.selector=g.selector),g.id&&(n.id=g.id),n.hasLoopArrow=g.hasLoopArrow,g.spec===". . ."&&(t=[new Label(". . .")]);else for(const x of r){if(!isDefineBlock(t,x))continue;n.shape="define-hat",n.category="custom";const w=t.splice(x.definePrefix.length,t.length-x.defineSuffix.length).map(ne=>{if(ne.isInput&&ne.isBoolean)ne=paintBlock({shape:"boolean",argument:"boolean",category:"custom-arg"},[new Label("")],r);else if(ne.isInput&&(ne.shape==="string"||ne.shape==="number")){const $e=ne.value.split(/ +/g).map(Ie=>new Label(Ie));ne=paintBlock({shape:"reporter",argument:ne.shape==="string"?"string":"number",category:"custom-arg"},$e,r)}else(ne.isReporter||ne.isBoolean)&&ne.info.categoryIsDefault&&(ne.info.category="custom-arg",ne.info.argument=ne.isBoolean?"boolean":"number");return ne}),Z={shape:"outline",category:"custom",categoryIsDefault:!0,hasLoopArrow:!1},Ce=new Block(Z,w);t.splice(x.definePrefix.length,0,Ce);break}applyOverrides(n,a),n.hasLoopArrow&&t.push(new Icon("loopArrow"));const f=new Block(n,t);return g&&iconPat.test(g.spec)&&f.translate(m,!0),n.diff==="+"?new Glow(f):(f.diff=n.diff,f)}function isDefineBlock(n,t){if(n.length<t.definePrefix.length||n.length<t.defineSuffix.length)return!1;for(let r=0;r<t.definePrefix.length;r++){const a=t.definePrefix[r],s=n[r];if(!s.isLabel||minifyHash(s.value)!==minifyHash(a))return!1}for(let r=1;r<=t.defineSuffix.length;r++){const a=t.defineSuffix[t.defineSuffix.length-r],s=n[n.length-r];if(!s.isLabel||minifyHash(s.value)!==minifyHash(a))return!1}return!0}function parseLines(n,t){let r=n[0],a=0;function s(){r=n[++a]}function l(){return n[a+1]}function u(){for(let ys=a+1;ys<n.length;ys++)if(n[ys]!==" ")return n[ys]}let _,m=[];t.map(ys=>{m=m.concat(ys.define)});function g(ys,tc){const nc=tc.filter(sc=>!sc.isLabel).length;return paintBlock({shape:ys,category:ys==="reporter"&&!nc?"variables":"obsolete",categoryIsDefault:!0,hasLoopArrow:!1},tc,t)}function f(ys,tc){const nc=lookupDropdown(tc,t)||tc;return new Input(ys,tc,nc)}function x(ys){const tc=[];let nc;for(;r&&r!==`
`;){if((r==="<"||r===">")&&ys===">"&&tc.length===1&&!tc[tc.length-1].isLabel){const ac=u();if(ac==="["||ac==="("||ac==="<"||ac==="{"){nc=null,tc.push(new Label(r)),s();continue}}if(r===ys||r==="/"&&l()==="/"&&!ys)break;switch(r){case"[":nc=null,tc.push(w());break;case"(":nc=null,tc.push(Ce());break;case"<":nc=null,tc.push(ne());break;case"{":nc=null,tc.push($e());break;case" ":case"	":s(),nc=null;break;case"◂":case"▸":tc.push(Ie()),nc=null;break;case"@":{s();let ac="";for(;r&&/[a-zA-Z]/.test(r);)ac+=r,s();ac==="cloud"?tc.push(new Label("☁")):tc.push(Object.prototype.hasOwnProperty.call(Icon.icons,ac)?new Icon(ac):new Label(`@${ac}`)),nc=null;break}case"\\":s();case":":if(r===":"&&l()===":")return tc.push(Dt(ys)),tc;default:nc||tc.push(nc=new Label("")),nc.value+=r,s()}}return tc}function w(){s();let ys="",tc=!1;for(;r&&r!=="]"&&r!==`
`;){if(r==="\\"){if(s(),r==="v"&&(tc=!0),!r)break}else tc=!1;ys+=r,s()}return r==="]"&&s(),hexColorPat.test(ys)?new Input("color",ys):!tc&&/ v$/.test(ys)?f("dropdown",ys.slice(0,ys.length-2)):new Input("string",ys)}function Z(ys){const tc=x(ys);if(r&&r===`
`&&(_=!0,s()),tc.length!==0){if(tc.length===1){const nc=tc[0];if(nc.isBlock&&(nc.isReporter||nc.isBoolean||nc.isRing))return nc}return g("stack",tc)}}function Ce(){if(s(),r===" "&&(s(),r==="v"&&l()===")"))return s(),s(),new Input("number-dropdown","");const ys=x(")");if(r&&r===")"&&s(),ys.length===0)return new Input("number","");if(ys.length===1&&ys[0].isLabel){const nc=ys[0].value;if(/^[0-9e.-]*$/.test(nc))return new Input("number",nc);if(hexColorPat.test(nc))return new Input("color",nc)}if(ys.length>1&&ys.every(nc=>nc.isLabel)&&ys[ys.length-1].value==="v"){ys.pop();const ac=ys.map(sc=>sc.value).join(" ");return f("number-dropdown",ac)}const tc=g("reporter",ys);if(tc.info&&tc.info.shape==="ring"){const nc=tc.children[0];nc&&nc.isInput&&nc.shape==="number"&&nc.value===""?tc.children[0]=new Input("reporter"):(nc&&nc.isScript&&nc.isEmpty||nc&&nc.isBlock&&!nc.children.length)&&(tc.children[0]=new Input("stack"))}return tc}function ne(){s();const ys=x(">");return r&&r===">"&&s(),ys.length===0?new Input("boolean"):g("boolean",ys)}function $e(){s(),_=!1;const tc=parseScripts(function(){for(;r&&r!=="}";){const ac=Z("}");if(ac)return ac}});let nc=[];return tc.forEach(ac=>{nc=nc.concat(ac.blocks)}),r==="}"&&s(),_?new Script(nc):(assert$1(nc.length<=1),nc.length?nc[0]:g("stack",[]))}function Ie(){const ys=r;switch(s(),ys){case"▸":return new Icon("addInput");case"◂":return new Icon("delInput");default:return}}function Dt(ys){s(),s();const tc=[];let nc="";for(;r&&r!==`
`&&r!==ys;){if(r===" ")nc&&(tc.push(nc),nc="");else{if(r==="/"&&l()==="/")break;nc+=r}s()}return nc&&tc.push(nc),tc}function Lr(ys){s(),s();let tc="";for(;r&&r!==`
`&&r!==ys;)tc+=r,s();return r&&r===`
`&&s(),new Comment(tc,!0)}function ec(){let ys;(r==="+"||r==="-")&&(ys=r,s());const tc=Z();if(r==="/"&&l()==="/"){const nc=Lr();if(nc.hasBlock=tc&&tc.children.length,!nc.hasBlock)return nc;tc.comment=nc}return tc&&(tc.diff=ys),tc}return()=>r?ec()||"NL":void 0}function parseScripts(n){let t=n();function r(){t=n()}function a(){for(;t==="NL";)r();const u=[];for(;t;){let _=[];for(;t&&t!=="NL";){let m=s();const g=m.diff==="+";if(g&&(m.diff=null),(m.isElse||m.isEnd)&&(m=new Block({...m.info,shape:"stack"},m.children)),g){const f=_[_.length-1];let x=[];f&&f.isGlow&&(_.pop(),x=f.child.isScript?f.child.blocks:[f.child]),x.push(m),_.push(new Glow(new Script(x)))}else if(m.isHat)_.length&&u.push(new Script(_)),_=[m];else if(m.isFinal){_.push(m);break}else if(m.isCommand)_.push(m);else{_.length&&u.push(new Script(_)),u.push(new Script([m])),_=[];break}}for(_.length&&u.push(new Script(_));t==="NL";)r()}return u}function s(){const u=t;if(r(),u.hasScript)for(;;){const _=l();if(u.children.push(new Script(_)),t&&t.isElse){for(const m of t.children)u.children.push(m);r();continue}t&&t.isEnd&&r();break}return u}function l(){const u=[];for(;t;){if(t==="NL"){r();continue}if(!t.isCommand)return u;const _=s(),m=_.diff==="+";if(m&&(_.diff=null),m){const g=u[u.length-1];let f=[];g&&g.isGlow&&(u.pop(),f=g.child.isScript?g.child.blocks:[g.child]),f.push(_),u.push(new Glow(new Script(f)))}else u.push(_)}return u}return a()}function eachBlock(n,t){n.isScript?n.blocks=n.blocks.map(r=>(eachBlock(r,t),t(r)||r)):n.isBlock?n.children=n.children.map(r=>(eachBlock(r,t),t(r)||r)):n.isGlow&&eachBlock(n.child,t)}const listBlocks={"append:toList:":1,"deleteLine:ofList:":1,"insert:at:ofList:":2,"setLine:ofList:to:":1,"showList:":0,"hideList:":0};function recogniseStuff(n){const t=Object.create(null),r=new Set;n.forEach(a=>{const s=new Set;eachBlock(a,l=>{if(l.isBlock){if(l.info.shape==="define-hat"){const u=l.children.find(w=>w.isOutline);if(!u)return;const _=[],m=[];for(const w of u.children)if(w.isLabel)m.push(w.value);else if(w.isBlock){if(!w.info.argument)return;m.push({number:"%n",string:"%s",boolean:"%b"}[w.info.argument]);const Z=blockName(w);_.push(Z),s.add(Z)}const g=m.join(" "),f=hashSpec(g),x={spec:g,names:_};t[f]||(t[f]=x),l.info.id="PROCEDURES_DEFINITION",l.info.selector="procDef",l.info.call=x.spec,l.info.names=x.names,l.info.category="custom"}else if(l.info.categoryIsDefault&&(l.isReporter||l.isBoolean)){const u=blockName(l);s.has(u)&&(l.info.category="custom-arg",l.info.categoryIsDefault=!1,l.info.selector="getParam")}else if(Object.prototype.hasOwnProperty.call(listBlocks,l.info.selector)){const u=listBlocks[l.info.selector],m=l.children.filter(g=>!g.isLabel)[u];m&&m.isInput&&r.add(m.value)}}})}),n.forEach(a=>{eachBlock(a,s=>{if(s.info&&s.info.categoryIsDefault&&s.info.category==="obsolete"){const _=t[s.info.hash];_&&(s.info.selector="call",s.info.call=_.spec,s.info.names=_.names,s.info.category="custom");return}let l,u;s.isReporter&&s.info.category==="variables"&&s.info.categoryIsDefault&&(s.info.selector="readVariable",l=blockName(s),u=s.info),l&&r.has(l)&&(u.category="list",u.categoryIsDefault=!1,u.selector="contentsOfList:")})})}function parse$1(n,t){if(t={inline:!1,languages:["en"],...t},t.dialect)throw new Error("Option 'dialect' no longer supported");n=n.replace(/&lt;/g,"<"),n=n.replace(/&gt;/g,">"),t.inline&&(n=n.replace(/\n/g," "));const r=t.languages.map(l=>{const u=allLanguages[l];if(!u)throw new Error(`Unknown language: '${l}'`);return u}),a=parseLines(n,r),s=parseScripts(a);return recogniseStuff(s),new Document(s)}function assert$3(n,t){if(!n)throw new Error(`Assertion failed! ${t||""}`)}let document$1,xml$1;const directProps$1={textContent:!0};let SVG$1=class O_{static init(t){document$1=t.document;const r=t.DOMParser;xml$1=new r().parseFromString("<xml></xml>","application/xml"),O_.XMLSerializer=t.XMLSerializer}static makeCanvas(){return document$1.createElement("canvas")}static cdata(t){return xml$1.createCDATASection(t)}static el(t,r){const a=document$1.createElementNS("http://www.w3.org/2000/svg",t);return O_.setProps(a,r)}static setProps(t,r){for(const a in r){const s=String(r[a]);directProps$1[a]?t[a]=s:r[a]!=null&&Object.prototype.hasOwnProperty.call(r,a)&&t.setAttributeNS(null,a,s)}return t}static withChildren(t,r){for(const a of r)t.appendChild(a);return t}static group(t){return O_.withChildren(O_.el("g"),t)}static newSVG(t,r,a){return O_.el("svg",{version:"1.1",width:t*a,height:r*a,viewBox:`0 0 ${t} ${r}`})}static polygon(t){return O_.el("polygon",{...t,points:t.points.join(" ")})}static path(t){return O_.el("path",{...t,path:null,d:t.path.join(" ")})}static text(t,r,a,s){return O_.el("text",{...s,x:t,y:r,textContent:a})}static symbol(t){return O_.el("use",{href:t})}static move(t,r,a){return O_.setProps(a,{transform:`translate(${t} ${r})`}),a}static translatePath(t,r,a){let s=!0;const l=a.split(/\s+/),u=[];for(let _=0;_<l.length;_++){let m=l[_];if(m==="A"){const g=_+5;for(u.push("A");_<g;)u.push(l[++_]);continue}else/[A-Za-z]/.test(m)?assert$3(s,"translatePath: invalid argument"):(m=+m,m+=s?t:r,s=!s);u.push(m)}return u.join(" ")}static rect(t,r,a){return O_.el("rect",{...a,x:0,y:0,width:t,height:r})}static ellipse(t,r,a){return O_.el("ellipse",{...a,cx:t/2,cy:r/2,rx:t/2,ry:r/2})}static arc(t,r,a,s,l,u){return`L ${t} ${r} A ${l} ${u} 0 0 1 ${a} ${s}`}static arcw(t,r,a,s,l,u){return`L ${t} ${r} A ${l} ${u} 0 0 0 ${a} ${s}`}static roundedPath(t,r){const a=r/2;return["M",a,0,O_.arc(t-a,0,t-a,r,a,a),O_.arc(a,r,a,0,a,a),"Z"]}static roundedRect(t,r,a){return O_.path({...a,path:O_.roundedPath(t,r)})}static pointedPath(t,r){const a=r/2;return["M",a,0,"L",t-a,0,t,a,"L",t,a,t-a,r,"L",a,r,0,a,"L",0,a,a,0,"Z"]}static pointedRect(t,r,a){return O_.path({...a,path:O_.pointedPath(t,r)})}static getTop(t){return`M 0 3
      L 3 0
      L 13 0
      L 16 3
      L 24 3
      L 27 0
      L ${t-3} 0
      L ${t} 3`}static getRingTop(t){return`M 0 3
      L 3 0
      L 7 0
      L 10 3
      L 16 3
      L 19 0
      L ${t-3} 0
      L ${t} 3`}static getRightAndBottom(t,r,a,s){typeof s>"u"&&(s=0);let l=["L",t,r-3,"L",t-3,r];return a&&(l=l.concat(["L",s+27,r,"L",s+24,r+3,"L",s+16,r+3,"L",s+13,r])),s>0?l=l.concat(["L",s+2,r,"L",s,r+2]):l=l.concat(["L",s+3,r,"L",0,r-3]),l.join(" ")}static getArm(t,r){return`L 15 ${r-2}
      L 17 ${r}
      L ${t-3} ${r}
      L ${t} ${r+3}`}static stackRect(t,r,a){return O_.path({...a,path:[O_.getTop(t),O_.getRightAndBottom(t,r,!0,0),"Z"]})}static capPath(t,r){return[O_.getTop(t),O_.getRightAndBottom(t,r,!1,0),"Z"]}static capRect(t,r,a){return O_.path({...a,path:O_.capPath(t,r)})}static hatRect(t,r,a){return O_.path({...a,path:["M",0,12,O_.arc(0,12,80,10,80,80),"L",t-3,10,"L",t,13,O_.getRightAndBottom(t,r,!0),"Z"]})}static curve(t,r,a,s,l){l=l||.42;const u=(t+a)/2,_=(r+s)/2,m=Math.round(u+l*(s-r)),g=Math.round(_-l*(a-t));return`${m} ${g} ${a} ${s}`}static procHatBase(t,r,a,s){return a=Math.min(.2,35/t),O_.path({...s,path:["M",0,15,"Q",O_.curve(0,15,t,15,a),O_.getRightAndBottom(t,r,!0),"M",-1,13,"Q",O_.curve(-1,13,t+1,13,a),"Q",O_.curve(t+1,13,t,16,.6),"Q",O_.curve(t,16,0,16,-a),"Q",O_.curve(0,16,-1,13,.6),"Z"]})}static procHatCap(t,r,a){return O_.path({path:["M",-1,13,"Q",O_.curve(-1,13,t+1,13,a),"Q",O_.curve(t+1,13,t,16,.6),"Q",O_.curve(t,16,0,16,-a),"Q",O_.curve(0,16,-1,13,.6),"Z"],class:"sb-define-hat-cap"})}static procHatRect(t,r,a){const l=r-52,u=Math.min(.2,35/t);return O_.move(0,l,O_.group([O_.procHatBase(t,52,u,a),O_.procHatCap(t,52,u)]))}static mouthRect(t,r,a,s,l){let u=s[0].height;const _=[O_.getTop(t),O_.getRightAndBottom(t,u,!0,15)];for(let m=1;m<s.length;m+=2){const g=m+2===s.length;u+=s[m].height-3,_.push(O_.getArm(t,u));const f=!(g&&a),x=g?0:15;u+=s[m+1].height+3,_.push(O_.getRightAndBottom(t,u,f,x))}return O_.path({...l,path:_})}static ringRect(t,r,a,s,l,u,_){const g=u==="reporter"?O_.roundedPath:u==="boolean"?O_.pointedPath:O_.capPath;return O_.path({..._,path:["M",8,0,O_.arcw(8,0,0,8,8,8),O_.arcw(0,r-8,8,r,8,8),O_.arcw(t-8,r,t,r-8,8,8),O_.arcw(t,8,t-8,0,8,8),"Z",O_.translatePath(4,a||4,g(s,l).join(" "))],"fill-rule":"even-odd"})}static commentRect(t,r,a){return O_.path({...a,class:"sb-comment",path:["M",6,0,O_.arc(t-6,0,t,6,6,6),O_.arc(t,r-6,t-6,r,6,6),O_.arc(6,r,0,r-6,6,6),O_.arc(0,6,6,0,6,6),"Z"]})}static commentLine(t,r){return O_.move(-t,9,O_.rect(t,2,{...r,class:"sb-comment-line"}))}static strikethroughLine(t,r){return O_.path({...r,path:["M",0,0,"L",t,0],class:"sb-diff sb-diff-del"})}};class Filter{constructor(t,r){this.el=SVG$1.el("filter",{...r,id:t,x0:"-50%",y0:"-50%",width:"200%",height:"200%"}),this.highestId=0}fe(t,r,a){const l=`${t.toLowerCase().replace(/gaussian|osite/,"")}-${++this.highestId}`;return this.el.appendChild(SVG$1.withChildren(SVG$1.el(`fe${t}`,{...r,result:l}),a||[])),l}comp(t,r,a,s){return this.fe("Composite",{...s,operator:t,in:r,in2:a})}subtract(t,r){return this.comp("arithmetic",t,r,{k2:1,k3:-1})}offset(t,r,a){return this.fe("Offset",{in:a,dx:t,dy:r})}flood(t,r,a){return this.fe("Flood",{in:a,"flood-color":t,"flood-opacity":r})}blur(t,r){return this.fe("GaussianBlur",{in:r,stdDeviation:`${t} ${t}`})}colorMatrix(t,r){return this.fe("ColorMatrix",{in:t,type:"matrix",values:r.join(" ")})}merge(t){this.fe("Merge",{},t.map(r=>SVG$1.el("feMergeNode",{in:r})))}}var cssContent$1=`
.sb-label {
  font-family: Lucida Grande, Verdana, Arial, DejaVu Sans, sans-serif;
  font-weight: bold;
  fill: #fff;
  font-size: 10px;
  word-spacing: +1px;
}

.sb-obsolete {
  fill: #d42828;
}
.sb-motion {
  fill: #4a6cd4;
}
.sb-looks {
  fill: #8a55d7;
}
.sb-sound {
  fill: #bb42c3;
}
.sb-pen {
  fill: #0e9a6c;
}
.sb-events {
  fill: #c88330;
}
.sb-control {
  fill: #e1a91a;
}
.sb-sensing {
  fill: #2ca5e2;
}
.sb-operators {
  fill: #5cb712;
}
.sb-variables {
  fill: #ee7d16;
}
.sb-list {
  fill: #cc5b22;
}
.sb-custom {
  fill: #632d99;
}
.sb-custom-arg {
  fill: #5947b1;
}
.sb-extension {
  fill: #4b4a60;
}
.sb-grey {
  fill: #969696;
}

.sb-bevel {
  filter: url(#bevelFilter);
}

.sb-input {
  filter: url(#inputBevelFilter);
}
.sb-input-number,
.sb-input-string,
.sb-input-number-dropdown {
  fill: #fff;
}
.sb-literal-number,
.sb-literal-string,
.sb-literal-number-dropdown,
.sb-literal-dropdown {
  font-weight: normal;
  font-size: 9px;
  word-spacing: 0;
}
.sb-literal-number,
.sb-literal-string,
.sb-literal-number-dropdown {
  fill: #000;
}

.sb-darker {
  filter: url(#inputDarkFilter);
}

.sb-outline {
  stroke: #fff;
  stroke-opacity: 0.2;
  stroke-width: 2;
  fill: none;
}

.sb-define-hat-cap {
  stroke: #632d99;
  stroke-width: 1;
  fill: #8e2ec2;
}

.sb-comment {
  fill: #ffffa5;
  stroke: #d0d1d2;
  stroke-width: 1;
}
.sb-comment-line {
  fill: #ffff80;
}
.sb-comment-label {
  font-family: Helvetica, Arial, DejaVu Sans, sans-serif;
  font-weight: bold;
  fill: #5c5d5f;
  word-spacing: 0;
  font-size: 12px;
}

.sb-diff {
  fill: none;
  stroke: #000;
}
.sb-diff-ins {
  stroke-width: 2px;
}
.sb-diff-del {
  stroke-width: 3px;
}
`;let Style$1$1=class Eb{static get cssContent(){return cssContent$1}static makeIcons(){return[SVG$1.el("path",{d:"M1.504 21L0 19.493 4.567 0h1.948l-.5 2.418s1.002-.502 3.006 0c2.006.503 3.008 2.01 6.517 2.01 3.508 0 4.463-.545 4.463-.545l-.823 9.892s-2.137 1.005-5.144.696c-3.007-.307-3.007-2.007-6.014-2.51-3.008-.502-4.512.503-4.512.503L1.504 21z",fill:"#3f8d15",id:"greenFlag"}),SVG$1.el("polygon",{points:"6.3,0.4725 12.516,0.4725 18.585,6.3 18.585,12.495 12.495,18.585 6.3,18.585 0.483,12.495 0.483,6.3  ",fill:"#bb0010",id:"stopSign"}),SVG$1.el("path",{d:"M6.724 0C3.01 0 0 2.91 0 6.5c0 2.316 1.253 4.35 3.14 5.5H5.17v-1.256C3.364 10.126 2.07 8.46 2.07 6.5 2.07 4.015 4.152 2 6.723 2c1.14 0 2.184.396 2.993 1.053L8.31 4.13c-.45.344-.398.826.11 1.08L15 8.5 13.858.992c-.083-.547-.514-.714-.963-.37l-1.532 1.172A6.825 6.825 0 0 0 6.723 0z",fill:"#fff",id:"turnRight"}),SVG$1.el("path",{d:"M3.637 1.794A6.825 6.825 0 0 1 8.277 0C11.99 0 15 2.91 15 6.5c0 2.316-1.253 4.35-3.14 5.5H9.83v-1.256c1.808-.618 3.103-2.285 3.103-4.244 0-2.485-2.083-4.5-4.654-4.5-1.14 0-2.184.396-2.993 1.053L6.69 4.13c.45.344.398.826-.11 1.08L0 8.5 1.142.992c.083-.547.514-.714.963-.37l1.532 1.172z",fill:"#fff",id:"turnLeft"}),SVG$1.el("path",{d:"M0 0L4 4L0 8Z",fill:"#111",id:"addInput"}),SVG$1.el("path",{d:"M4 0L4 8L0 4Z",fill:"#111",id:"delInput"}),SVG$1.setProps(SVG$1.group([SVG$1.el("path",{d:"M8 0l2 -2l0 -3l3 0l-4 -5l-4 5l3 0l0 3l-8 0l0 2",fill:"#000",opacity:"0.3"}),SVG$1.move(-1,-1,SVG$1.el("path",{d:"M8 0l2 -2l0 -3l3 0l-4 -5l-4 5l3 0l0 3l-8 0l0 2",fill:"#fff",opacity:"0.9"}))]),{id:"loopArrow"}),SVG$1.setProps(SVG$1.group([SVG$1.el("rect",{x:"0",y:"0",width:"12",height:"14",fill:"#000",opacity:"0.25"}),SVG$1.el("rect",{x:"1",y:"1",width:"1",height:"13",fill:"#fff"}),SVG$1.el("rect",{x:"11",y:"1",width:"1",height:"13",fill:"#fff"}),SVG$1.el("rect",{x:"2",y:"1",width:"9",height:"1",fill:"#fff"}),SVG$1.el("rect",{x:"2",y:"5",width:"9",height:"1",fill:"#fff"}),SVG$1.el("rect",{x:"2",y:"9",width:"9",height:"1",fill:"#fff"}),SVG$1.el("rect",{x:"2",y:"13",width:"9",height:"1",fill:"#fff"}),SVG$1.el("rect",{x:"2",y:"2",width:"9",height:"2",fill:"#ea8d1c"}),SVG$1.el("rect",{x:"2",y:"6",width:"9",height:"2",fill:"#ea8d1c"}),SVG$1.el("rect",{x:"2",y:"10",width:"9",height:"2",fill:"#ea8d1c"}),SVG$1.el("rect",{x:"11",y:"0",width:"1",height:"1",fill:"#ea8d1c"}),SVG$1.el("rect",{x:"0",y:"13",width:"1",height:"1",fill:"#ea8d1c"})]),{id:"list"})]}static makeStyle(){const t=SVG$1.el("style");return t.appendChild(SVG$1.cdata(Eb.cssContent)),t}static bevelFilter(t,r){const a=new Filter(t),s="SourceAlpha",l=r?-1:1,u=a.blur(1,s);return a.merge(["SourceGraphic",a.comp("in",a.flood("#fff",.15),a.subtract(s,a.offset(+l,+l,u))),a.comp("in",a.flood("#000",.7),a.subtract(s,a.offset(-l,-l,u)))]),a.el}static darkFilter(t){const r=new Filter(t);return r.merge(["SourceGraphic",r.comp("in",r.flood("#000",.2),"SourceAlpha")]),r.el}static darkRect(t,r,a,s){return SVG$1.setProps(SVG$1.group([SVG$1.setProps(s,{class:`sb-${a} sb-darker`})]),{width:t,height:r})}static get defaultFontFamily(){return"Lucida Grande, Verdana, Arial, DejaVu Sans, sans-serif"}};const{defaultFontFamily,makeStyle:makeStyle$3,makeIcons,darkRect,bevelFilter,darkFilter}=Style$1$1;let LabelView$1=class sm{constructor(t){Object.assign(this,t),this.el=null,this.height=12,this.metrics=null,this.x=0}get isLabel(){return!0}draw(){return this.el}get width(){return this.metrics.width}measure(){const t=this.value,r=`sb-${this.cls}`;this.el=SVG$1.text(0,10,t,{class:`sb-label ${r}`});let a=sm.metricsCache[r];if(a||(a=sm.metricsCache[r]=Object.create(null)),Object.hasOwnProperty.call(a,t))this.metrics=a[t];else{const s=/comment-label/.test(this.cls)?"bold 12px Helvetica, Arial, DejaVu Sans, sans-serif":/literal/.test(this.cls)?`normal 9px ${defaultFontFamily}`:`bold 10px ${defaultFontFamily}`;this.metrics=a[t]=sm.measure(t,s)}}static measure(t,r){const a=sm.measuring;return a.font=r,{width:a.measureText(t).width+.5|0}}};LabelView$1.metricsCache={};LabelView$1.toMeasure=[];let IconView$1=class Cb{constructor(t){Object.assign(this,t);const r=Cb.icons[this.name];if(!r)throw new Error(`no info for icon: ${this.name}`);Object.assign(this,r)}get isIcon(){return!0}draw(){return SVG$1.symbol(`#${this.name}`,{width:this.width,height:this.height})}static get icons(){return{greenFlag:{width:20,height:21,dy:-2},stopSign:{width:20,height:20},turnLeft:{width:15,height:12,dy:1},turnRight:{width:15,height:12,dy:1},loopArrow:{width:14,height:11},addInput:{width:4,height:8},delInput:{width:4,height:8},list:{width:12,height:14}}}},InputView$1=class Ab{constructor(t){Object.assign(this,t),t.label&&(this.label=newView$1(t.label)),this.x=0}measure(){this.hasLabel&&this.label.measure()}static get shapes(){return{string:SVG$1.rect,number:SVG$1.roundedRect,"number-dropdown":SVG$1.roundedRect,color:SVG$1.rect,dropdown:SVG$1.rect,boolean:SVG$1.pointedRect,stack:SVG$1.stackRect,reporter:SVG$1.roundedRect}}draw(t){let r,a;this.hasLabel?(a=this.label.draw(),r=Math.max(14,this.label.width+(this.shape==="string"||this.shape==="number-dropdown"?6:9))):r=this.isInset?30:this.isColor?13:null,this.hasArrow&&(r+=10),this.width=r;const s=this.height=this.isRound||this.isColor?13:14;let l=Ab.shapes[this.shape](r,s);this.isColor?SVG$1.setProps(l,{fill:this.value}):this.isDarker&&(l=darkRect(r,s,t.info.category,l),t.info.color&&SVG$1.setProps(l,{fill:t.info.color}));const u=SVG$1.group([SVG$1.setProps(l,{class:`sb-input sb-input-${this.shape}`})]);if(this.hasLabel){const _=this.isRound?5:4;u.appendChild(SVG$1.move(_,0,a))}if(this.hasArrow){const _=this.shape==="dropdown"?5:4;u.appendChild(SVG$1.move(r-10,_,SVG$1.polygon({points:[7,0,3.5,4,0,0],fill:"#000",opacity:"0.6"})))}return u}},BlockView$1=class hm{constructor(t){Object.assign(this,t),this.children=t.children.map(newView$1),this.comment=this.comment?newView$1(this.comment):null,Object.prototype.hasOwnProperty.call(aliasExtensions,this.info.category)&&(this.info.category=aliasExtensions[this.info.category]),Object.prototype.hasOwnProperty.call(movedExtensions,this.info.category)?this.info.category=movedExtensions[this.info.category]:Object.prototype.hasOwnProperty.call(extensions,this.info.category)&&(this.info.category="extension"),this.x=0,this.width=null,this.height=null,this.firstLine=null,this.innerWidth=null}get isBlock(){return!0}measure(){for(const t of this.children)t.measure&&t.measure();this.comment&&this.comment.measure()}static get shapes(){return{stack:SVG$1.stackRect,"c-block":SVG$1.stackRect,"if-block":SVG$1.stackRect,celse:SVG$1.stackRect,cend:SVG$1.stackRect,cap:SVG$1.capRect,reporter:SVG$1.roundedRect,boolean:SVG$1.pointedRect,hat:SVG$1.hatRect,cat:SVG$1.hatRect,"define-hat":SVG$1.procHatRect,ring:SVG$1.roundedRect}}drawSelf(t,r,a){if(a.length>1)return SVG$1.mouthRect(t,r,this.isFinal,a,{class:`sb-${this.info.category} sb-bevel`});if(this.info.shape==="outline")return SVG$1.setProps(SVG$1.stackRect(t,r),{class:"sb-outline"});if(this.isRing){const l=this.children[0];if(l&&(l.isStack||l.isBlock||l.isScript)){const u=l.isScript?"stack":l.isStack?l.shape:l.info.shape;return SVG$1.ringRect(t,r,l.y,l.width,l.height,u,{class:`sb-${this.info.category} sb-bevel`})}}const s=hm.shapes[this.info.shape];if(!s)throw new Error(`no shape func: ${this.info.shape}`);return s(t,r,{class:`sb-${this.info.category} sb-bevel`})}minDistance(t){return this.isBoolean?t.isReporter?4+t.height/4|0:t.isLabel?5+t.height/2|0:t.isBoolean||t.shape==="boolean"?5:2+t.height/2|0:this.isReporter?t.isInput&&t.isRound||(t.isReporter||t.isBoolean)&&!t.hasScript?0:t.isLabel?2+t.height/2|0:-2+t.height/2|0:0}static get padding(){return{hat:[15,6,2],cat:[15,6,2],"define-hat":[21,8,9],reporter:[3,4,1],boolean:[3,4,2],cap:[6,6,2],"c-block":[3,6,2],"if-block":[3,6,2],ring:[4,4,2],null:[4,6,2]}}draw(){const t=this.info.shape==="define-hat";let r=this.children;const a=hm.padding[this.info.shape]||hm.padding.null;let s=a[0];const l=a[1],u=a[2];let _=0;const m=function($e){this.y=$e,this.width=0,this.height=$e?13:16,this.children=[]};let g=0,f=0,x=new m(_);const w=$e=>{Z.length===0?x.height+=s+u:(x.height+=$e?0:2,x.y-=1),_+=x.height,Z.push(x)};if(this.info.isRTL){let $e=0;const Ie=()=>{r=r.slice(0,$e).concat(r.slice($e,Dt).reverse()).concat(r.slice(Dt))};let Dt;for(Dt=0;Dt<r.length;Dt++)r[Dt].isScript&&(Ie(),$e=Dt+1);$e<Dt&&Ie()}const Z=[];for(let $e=0;$e<r.length;$e++){const Ie=r[$e];if(Ie.el=Ie.draw(this),Ie.isScript&&this.isCommand)this.hasScript=!0,w(),Ie.y=_,Z.push(Ie),f=Math.max(f,Math.max(1,Ie.width)),Ie.height=Math.max(12,Ie.height)+3,_+=Ie.height,x=new m(_);else if(Ie.isArrow)x.children.push(Ie);else{const Dt=$e>0?30:0,Lr=this.isCommand?0:this.minDistance(Ie),ec=this.isCommand?Ie.isBlock||Ie.isInput?Dt:0:Lr;ec&&!Z.length&&x.width<ec-l&&(x.width=ec-l),Ie.x=x.width,x.width+=Ie.width,g=Math.max(g,x.width+Math.max(0,Lr-l)),x.width+=4,Ie.isLabel||(x.height=Math.max(x.height,Ie.height)),x.children.push(Ie)}}if(w(!0),g=Math.max(g+l*2,this.isHat||this.hasScript?83:this.isCommand||this.isOutline||this.isRing?39:20),this.height=_,this.width=f?Math.max(g,15+f):g,t){const $e=Math.min(26,3.5+.13*g|0)-18;this.height+=$e,s+=2*$e}this.firstLine=Z[0],this.innerWidth=g;const Ce=[];for(const $e of Z){if($e.isScript){Ce.push(SVG$1.move(15,$e.y,$e.el));continue}const Ie=$e.height;for(const Dt of $e.children){if(Dt.isArrow){Ce.push(SVG$1.move(g-15,this.height-3,Dt.el));continue}let Lr=s+(Ie-Dt.height-s-u)/2-1;if(t&&Dt.isLabel?Lr+=3:Dt.isIcon&&(Lr+=Dt.dy|0),!(this.isRing&&(Dt.y=$e.y+Lr|0,Dt.isInset))&&(Ce.push(SVG$1.move(l+Dt.x,$e.y+Lr|0,Dt.el)),Dt.diff==="+")){const ec=SVG$1.insEllipse(Dt.width,Dt.height);Ce.push(SVG$1.move(l+Dt.x,$e.y+Lr|0,ec))}}}const ne=this.drawSelf(g,this.height,Z);return Ce.splice(0,0,ne),this.info.color&&SVG$1.setProps(ne,{fill:this.info.color}),SVG$1.group(Ce)}},CommentView$1=class Sb{constructor(t){Object.assign(this,t),this.label=newView$1(t.label),this.width=null}get isComment(){return!0}static get lineLength(){return 12}get height(){return 20}measure(){this.label.measure()}draw(){const t=this.label.draw();return this.width=this.label.width+16,SVG$1.group([SVG$1.commentLine(this.hasBlock?Sb.lineLength:0,6),SVG$1.commentRect(this.width,this.height,{class:"sb-comment"}),SVG$1.move(8,4,t)])}},GlowView$1=class{constructor(t){Object.assign(this,t),this.child=newView$1(t.child),this.width=null,this.height=null,this.y=0}get isGlow(){return!0}measure(){this.child.measure()}drawSelf(){const t=this.child;let r;const a=this.width,s=this.height-1;return t.isScript?!t.isEmpty&&t.blocks[0].isHat?r=SVG$1.hatRect(a,s):t.isFinal?r=SVG$1.capRect(a,s):r=SVG$1.stackRect(a,s):r=t.drawSelf(a,s,[]),SVG$1.setProps(r,{class:"sb-diff sb-diff-ins"})}draw(){const t=this.child,r=t.isScript?t.draw(!0):t.draw();return this.width=t.width,this.height=t.isBlock&&t.firstLine.height||t.height,SVG$1.group([r,this.drawSelf()])}},ScriptView$1=class{constructor(t){Object.assign(this,t),this.blocks=t.blocks.map(newView$1),this.y=0}get isScript(){return!0}measure(){for(const t of this.blocks)t.measure()}draw(t){const r=[];let a=0;this.width=0;for(const l of this.blocks){const u=t?0:2,_=l.draw();if(r.push(SVG$1.move(u,a,_)),this.width=Math.max(this.width,l.width),l.diff==="-"){const f=l.width,x=l.firstLine.height||l.height;r.push(SVG$1.move(u,a+x/2+1,SVG$1.strikethroughLine(f))),this.width=Math.max(this.width,l.width)}a+=l.height;const g=l.comment;if(g){const f=l.firstLine,x=l.innerWidth+2+CommentView$1.lineLength,w=a-l.height+f.height/2,Z=g.draw();r.push(SVG$1.move(x,w-g.height/2,Z)),this.width=Math.max(this.width,x+g.width)}}this.height=a,!t&&!this.isFinal&&(this.height+=3);const s=this.blocks[this.blocks.length-1];return!t&&s.isGlow&&(this.height+=2),SVG$1.group(r)}},DocumentView$1=class{constructor(t,r){Object.assign(this,t),this.scripts=t.scripts.map(newView$1),this.width=null,this.height=null,this.el=null,this.defs=null,this.scale=r.scale}measure(){this.scripts.forEach(t=>t.measure())}render(t){if(typeof t=="function")throw new Error("render() no longer takes a callback");this.measure();let r=0,a=0;const s=[];for(const u of this.scripts)a&&(a+=10),u.y=a,s.push(SVG$1.move(0,a,u.draw())),a+=u.height,r=Math.max(r,u.width+4);this.width=r,this.height=a;const l=SVG$1.newSVG(r,a,this.scale);return l.appendChild(this.defs=SVG$1.withChildren(SVG$1.el("defs"),[bevelFilter("bevelFilter",!1),bevelFilter("inputBevelFilter",!0),darkFilter("inputDarkFilter"),...makeIcons()])),l.appendChild(SVG$1.group(s)),this.el=l,l}exportSVGString(){if(this.el==null)throw new Error("call draw() first");const t=makeStyle$3();this.defs.appendChild(t);const r=new SVG$1.XMLSerializer().serializeToString(this.el);return this.defs.removeChild(t),r}exportSVG(){return`data:image/svg+xml;utf8,${this.exportSVGString().replace(/[#]/g,encodeURIComponent)}`}toCanvas(t,r){r=r||1;const a=SVG$1.makeCanvas();a.width=Math.max(1,this.width*r*this.scale),a.height=Math.max(1,this.height*r*this.scale);const s=a.getContext("2d"),l=new Image;l.src=this.exportSVG(),l.onload=()=>{s.save(),s.scale(r,r),s.drawImage(l,0,0),s.restore(),t(a)}}exportPNG(t,r){this.toCanvas(a=>{URL&&URL.createObjectURL&&Blob&&a.toBlob?a.toBlob(s=>{t(URL.createObjectURL(s))},"image/png"):t(a.toDataURL("image/png"))},r)}};const viewFor$1=n=>{switch(n.constructor){case Label:return LabelView$1;case Icon:return IconView$1;case Input:return InputView$1;case Block:return BlockView$1;case Comment:return CommentView$1;case Glow:return GlowView$1;case Script:return ScriptView$1;case Document:return DocumentView$1;default:throw new Error(`no view for ${n.constructor.name}`)}},newView$1=(n,t)=>new(viewFor$1(n))(n,t);function init$2(n){SVG$1.init(n),LabelView$1.measuring=SVG$1.makeCanvas().getContext("2d")}const makeStyle$2=Style$1$1.makeStyle;let document$2,xml;const directProps={textContent:!0};class SVG{static init(t){document$2=t.document;const r=t.DOMParser;xml=new r().parseFromString("<xml></xml>","application/xml"),SVG.XMLSerializer=t.XMLSerializer}static makeCanvas(){return document$2.createElement("canvas")}static cdata(t){return xml.createCDATASection(t)}static el(t,r){const a=document$2.createElementNS("http://www.w3.org/2000/svg",t);return SVG.setProps(a,r)}static setProps(t,r){for(const a in r){const s=String(r[a]);directProps[a]?t[a]=s:r[a]!=null&&Object.prototype.hasOwnProperty.call(r,a)&&t.setAttributeNS(null,a,s)}return t}static withChildren(t,r){for(const a of r)t.appendChild(a);return t}static group(t){return SVG.withChildren(SVG.el("g"),t)}static newSVG(t,r,a){return SVG.el("svg",{version:"1.1",width:t*a,height:r*a,viewBox:`0 0 ${t*a} ${r*a}`})}static polygon(t){return SVG.el("polygon",{...t,points:t.points.join(" ")})}static path(t){return SVG.el("path",{...t,path:null,d:t.path.join(" ")})}static text(t,r,a,s){return SVG.el("text",{...s,x:t,y:r,textContent:a})}static symbol(t){return SVG.el("use",{href:t})}static move(t,r,a){return SVG.setProps(a,{transform:`translate(${t} ${r})`}),a}static rect(t,r,a){return SVG.el("rect",{...a,x:0,y:0,width:t,height:r})}static roundRect(t,r,a){return SVG.rect(t,r,{...a,rx:4,ry:4})}static pillRect(t,r,a){const s=r/2;return SVG.rect(t,r,{...a,rx:s,ry:s})}static pointedPath(t,r){const a=r/2;return[`M ${a} 0`,`L ${t-a} 0 ${t} ${a}`,`L ${t} ${a} ${t-a} ${r}`,`L ${a} ${r} 0 ${a}`,`L 0 ${a} ${a} 0`,"Z"]}static pointedRect(t,r,a){return SVG.path({...a,path:SVG.pointedPath(t,r)})}static topNotch(t,r){return`c 2 0 3 1 4 2
      l 4 4
      c 1 1 2 2 4 2
      h 12
      c 2 0 3 -1 4 -2
      l 4 -4
      c 1 -1 2 -2 4 -2
      L ${t-4} ${r}
      a 4 4 0 0 1 4 4`}static getTop(t){return`M 0 4
      A 4 4 0 0 1 4 0
      H 12 ${SVG.topNotch(t,0)}`}static getRingTop(t){return`M 0 3
      L 3 0
      L 7 0
      L 10 3
      L 16 3
      L 19 0
      L ${t-3} 0
      L ${t} 3`}static getRightAndBottom(t,r,a,s){typeof s>"u"&&(s=0);let l=[`L ${t} ${r-4}`,"a 4 4 0 0 1 -4 4"];return a&&(l=l.concat([`L ${s+48} ${r}`,"c -2 0 -3 1 -4 2","l -4 4","c -1 1 -2 2 -4 2","h -12","c -2 0 -3 -1 -4 -2","l -4 -4","c -1 -1 -2 -2 -4 -2"])),s===0?(l.push("L",s+4,r),l.push("a 4 4 0 0 1 -4 -4")):(l.push("L",s+4,r),l.push("a 4 4 0 0 0 -4 4")),l.join(" ")}static getArm(t,r){return`L 16 ${r-4}
      a 4 4 0 0 0 4 4
      L 28 ${r} ${SVG.topNotch(t,r)}`}static getArmNoNotch(t,r){return`L 16 ${r-4}
      a 4 4 0 0 0 4 4
      L 28 ${r} L ${t-4} ${r}
      a 4 4 0 0 1 4 4`}static stackRect(t,r,a){return SVG.path({...a,path:[SVG.getTop(t),SVG.getRightAndBottom(t,r,!0,0),"Z"]})}static capPath(t,r){return[SVG.getTop(t),SVG.getRightAndBottom(t,r,!1,0),"Z"]}static capRect(t,r,a){return SVG.path({...a,path:SVG.capPath(t,r)})}static getHatTop(t){return`M 0 16 c 25,-22 71,-22 96,0 L ${t-4} 16 a 4 4 0 0 1 4 4`}static getCatTop(t){return`M 0 32
      c2.6,-2.3 5.5,-4.3 8.5,-6.2c-1,-12.5 5.3,-23.3 8.4,-24.8c3.7,-1.8 16.5,13.1 18.4,15.4c8.4,-1.3 17,-1.3 25.4,0c1.9,-2.3 14.7,-17.2 18.4,-15.4c3.1,1.5 9.4,12.3 8.4,24.8c3,1.8 5.9,3.9 8.5,6.1
      L ${t-4} 32
      a 4 4 0 0 1 4 4`}static hatRect(t,r,a){return SVG.path({...a,path:[SVG.getHatTop(t),SVG.getRightAndBottom(t,r,!0,0),"Z"]})}static catHat(t,r,a){return SVG.group([SVG.path({...a,path:[SVG.getCatTop(t),SVG.getRightAndBottom(t,r,!0,0),"Z"]}),SVG.move(0,32,SVG.setProps(SVG.group([SVG.el("circle",{cx:29.1,cy:-3.3,r:3.4}),SVG.el("circle",{cx:59.2,cy:-3.3,r:3.4}),SVG.el("path",{d:"M45.6,0.1c-0.9,0-1.7-0.3-2.3-0.9c-0.6,0.6-1.3,0.9-2.2,0.9c-0.9,0-1.8-0.3-2.3-0.9c-1-1.1-1.1-2.6-1.1-2.8c0-0.5,0.5-1,1-1l0,0c0.6,0,1,0.5,1,1c0,0.4,0.1,1.7,1.4,1.7c0.5,0,0.7-0.2,0.8-0.3c0.3-0.3,0.4-1,0.4-1.3c0-0.1,0-0.1,0-0.2c0-0.5,0.5-1,1-1l0,0c0.5,0,1,0.4,1,1c0,0,0,0.1,0,0.2c0,0.3,0.1,0.9,0.4,1.2C44.8-2.2,45-2,45.5-2s0.7-0.2,0.8-0.3c0.3-0.4,0.4-1.1,0.3-1.3c0-0.5,0.4-1,0.9-1.1c0.5,0,1,0.4,1.1,0.9c0,0.2,0.1,1.8-0.8,2.8C47.5-0.4,46.8,0.1,45.6,0.1z"})]),{fill:"#000","fill-opacity":.6})),SVG.move(0,32,SVG.el("path",{d:"M73.1-15.6c1.7-4.2,4.5-9.1,5.8-8.5c1.6,0.8,5.4,7.9,5,15.4c0,0.6-0.7,0.7-1.1,0.5c-3-1.6-6.4-2.8-8.6-3.6C72.8-12.3,72.4-13.7,73.1-15.6z",fill:"#FFD5E6",transform:"translate(0, 32)"})),SVG.move(0,32,SVG.el("path",{d:"M22.4-15.6c-1.7-4.2-4.5-9.1-5.8-8.5c-1.6,0.8-5.4,7.9-5,15.4c0,0.6,0.7,0.7,1.1,0.5c3-1.6,6.4-2.8,8.6-3.6C22.8-12.3,23.2-13.7,22.4-15.6z",fill:"#FFD5E6",transform:"translate(0, 32)"}))])}static getProcHatTop(t){return`M 0 20 a 20 20 0 0 1 20 -20 L ${t-20} 0 a 20,20 0 0,1 20,20`}static procHatRect(t,r,a){return SVG.path({...a,path:[SVG.getProcHatTop(t),SVG.getRightAndBottom(t,r,!0,0),"Z"]})}static mouthRect(t,r,a,s,l){let u=s[0].height;const _=[SVG.getTop(t),SVG.getRightAndBottom(t,u,!0,16)];for(let m=1;m<s.length;m+=2){const g=m+2===s.length,f=s[m];u+=f.height-3,f.isFinal?_.push(SVG.getArmNoNotch(t,u)):_.push(SVG.getArm(t,u));const x=!(g&&a),w=g?0:16;u+=s[m+1].height+3,_.push(SVG.getRightAndBottom(t,u,x,w))}return _.push("Z"),SVG.path({...l,path:_})}static commentRect(t,r,a){return SVG.roundRect(t,r,{...a,class:"sb3-comment"})}static commentLine(t,r){return SVG.move(-t,9,SVG.rect(t,2,{...r,class:"sb3-comment-line"}))}static strikethroughLine(t,r){return SVG.path({...r,path:["M",0,0,"L",t,0],class:"sb3-diff sb3-diff-del"})}}var cssContent=`
.sb3-label {
  font: 500 12pt Helvetica Neue, Helvetica, sans-serif;
  word-spacing: +1pt;
}

.sb3-literal-number,
.sb3-literal-string,
.sb3-literal-number-dropdown,
.sb3-literal-dropdown {
  word-spacing: 0;
}

/* Note: comment colors are different from Scratch. */

.sb3-comment {
  fill: #ffffa5;
  stroke: #d0d1d2;
  stroke-width: 1;
}
.sb3-comment-line {
  fill: #ffff80;
}
.sb3-comment-label {
  font: 400 12pt Helvetica Neue, Helvetica, sans-serif;
  fill: #000;
  word-spacing: 0;
}

.sb3-diff {
  fill: none;
  stroke: #000;
}
.sb3-diff-ins {
  stroke-width: 2px;
}
.sb3-diff-del {
  stroke-width: 3px;
}


svg .sb3-motion {
  fill: #4c97ff;
  stroke: #3373cc;
}
svg .sb3-motion-alt {
  fill: #4280d7;
}
svg .sb3-motion-dark {
  fill: #3373cc;
}


svg .sb3-looks {
  fill: #9966ff;
  stroke: #774dcb;
}
svg .sb3-looks-alt {
  fill: #855cd6;
}
svg .sb3-looks-dark {
  fill: #774dcb;
}


svg .sb3-sound {
  fill: #cf63cf;
  stroke: #bd42bd;
}
svg .sb3-sound-alt {
  fill: #c94fc9;
}
svg .sb3-sound-dark {
  fill: #bd42bd;
}


svg .sb3-control {
  fill: #ffab19;
  stroke: #cf8b17;
}
svg .sb3-control-alt {
  fill: #ec9c13;
}
svg .sb3-control-dark {
  fill: #cf8b17;
}


svg .sb3-events {
  fill: #ffbf00;
  stroke: #cc9900;
}
svg .sb3-events-alt {
  fill: #e6ac00;
}
svg .sb3-events-dark {
  fill: #cc9900;
}


svg .sb3-sensing {
  fill: #5cb1d6;
  stroke: #2e8eb8;
}
svg .sb3-sensing-alt {
  fill: #47a8d1;
}
svg .sb3-sensing-dark {
  fill: #2e8eb8;
}


svg .sb3-operators {
  fill: #59c059;
  stroke: #389438;
}
svg .sb3-operators-alt {
  fill: #46b946;
}
svg .sb3-operators-dark {
  fill: #389438;
}


svg .sb3-variables {
  fill: #ff8c1a;
  stroke: #db6e00;
}
svg .sb3-variables-alt {
  fill: #ff8000;
}
svg .sb3-variables-dark {
  fill: #db6e00;
}


svg .sb3-list {
  fill: #ff661a;
  stroke: #e64d00;
}
svg .sb3-list-alt {
  fill: #ff5500;
}
svg .sb3-list-dark {
  fill: #e64d00;
}


svg .sb3-custom {
  fill: #ff6680;
  stroke: #ff3355;
}
svg .sb3-custom-alt {
  fill: #ff4d6a;
}
svg .sb3-custom-dark {
  fill: #ff3355;
}


svg .sb3-extension {
  fill: #0fbd8c;
  stroke: #0b8e69;
}
svg .sb3-extension-alt {
  fill: #0da57a;
}
svg .sb3-extension-dark {
  fill: #0b8e69;
}


svg .sb3-obsolete {
  fill: #ed4242;
  stroke: #ca2b2b;
}
svg .sb3-obsolete-alt {
  fill: #db3333;
}
svg .sb3-obsolete-dark {
  fill: #ca2b2b;
}


svg .sb3-grey {
  fill: #bfbfbf;
  stroke: #909090;
}
svg .sb3-grey-alt {
  fill: #b2b2b2;
}
svg .sb3-grey-dark {
  fill: #909090;
}


svg .sb3-label {
  fill: #fff;
}

svg .sb3-input-color {
  stroke: #fff;
}

svg .sb3-input-number,
svg .sb3-input-string {
  fill: #fff;
}
svg .sb3-literal-number,
svg .sb3-literal-string {
  fill: #575e75;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-motion {
  fill: #80b5ff;
  stroke: #3373cc;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-motion-alt {
  fill: #b3d2ff;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-motion-dark {
  fill: #3373cc;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-looks {
  fill: #ccb3ff;
  stroke: #774dcb;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-looks-alt {
  fill: #ddccff;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-looks-dark {
  fill: #774dcb;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-sound {
  fill: #e19de1;
  stroke: #bd42bd;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-sound-alt {
  fill: #ffb3ff;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-sound-dark {
  fill: #bd42bd;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-control {
  fill: #ffbe4c;
  stroke: #cf8b17;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-control-alt {
  fill: #ffda99;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-control-dark {
  fill: #cf8b17;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-events {
  fill: #ffd966;
  stroke: #cc9900;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-events-alt {
  fill: #ffecb3;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-events-dark {
  fill: #cc9900;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-sensing {
  fill: #85c4e0;
  stroke: #2e8eb8;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-sensing-alt {
  fill: #aed8ea;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-sensing-dark {
  fill: #2e8eb8;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-operators {
  fill: #7ece7e;
  stroke: #389438;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-operators-alt {
  fill: #b5e3b5;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-operators-dark {
  fill: #389438;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-variables {
  fill: #ffa54c;
  stroke: #db6e00;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-variables-alt {
  fill: #ffcc99;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-variables-dark {
  fill: #db6e00;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-list {
  fill: #ff9966;
  stroke: #e64d00;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-list-alt {
  fill: #ffcab0;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-list-dark {
  fill: #e64d00;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-custom {
  fill: #ff99aa;
  stroke: #e64d00;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-custom-alt {
  fill: #ffccd5;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-custom-dark {
  fill: #e64d00;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-extension {
  fill: #13ecaf;
  stroke: #0b8e69;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-extension-alt {
  fill: #75f0cd;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-extension-dark {
  fill: #0b8e69;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-obsolete {
  fill: #fc6666;
  stroke: #d32121;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-obsolete-alt {
  fill: #fcb0b0;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-obsolete-dark {
  fill: #d32121;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-grey {
  fill: #bfbfbf;
  stroke: #959595;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-grey-alt {
  fill: #b2b2b2;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-grey-dark {
  fill: #959595;
}


svg.scratchblocks-style-scratch3-high-contrast .sb3-label {
  fill: #000;
}

svg.scratchblocks-style-scratch3-high-contrast .sb3-input-color {
  stroke: #fff;
}

svg.scratchblocks-style-scratch3-high-contrast .sb3-input-number,
svg.scratchblocks-style-scratch3-high-contrast .sb3-input-string {
  fill: #fff;
}
svg.scratchblocks-style-scratch3-high-contrast .sb3-literal-number,
svg.scratchblocks-style-scratch3-high-contrast .sb3-literal-string {
  fill: #000;
}
`;const highContrastIcons=new Set(["dropdownArrow","turnRight","turnLeft","loopArrow","musicBlock","penBlock","videoBlock","ttsBlock","translationBlock"]);let Style$2=class xm{static get cssContent(){return cssContent}static makeCommonIcons(){return[SVG.setProps(SVG.group([SVG.el("path",{d:"M20.8 3.7c-.4-.2-.9-.1-1.2.2-2 1.6-4.8 1.6-6.8 0-2.3-1.9-5.6-2.3-8.3-1v-.4c0-.6-.5-1-1-1s-1 .4-1 1v18.8c0 .5.5 1 1 1h.1c.5 0 1-.5 1-1v-6.4c1-.7 2.1-1.2 3.4-1.3 1.2 0 2.4.4 3.4 1.2 2.9 2.3 7 2.3 9.8 0 .3-.2.4-.5.4-.9V4.7c0-.5-.3-.9-.8-1zm-.3 10.2C18 16 14.4 16 11.9 14c-1.1-.9-2.5-1.4-4-1.4-1.2.1-2.3.5-3.4 1.1V4c2.5-1.4 5.5-1.1 7.7.6 2.4 1.9 5.7 1.9 8.1 0h.2l.1.1-.1 9.2z",fill:"#45993d"}),SVG.el("path",{d:"M20.6 4.8l-.1 9.1v.1c-2.5 2-6.1 2-8.6 0-1.1-.9-2.5-1.4-4-1.4-1.2.1-2.3.5-3.4 1.1V4c2.5-1.4 5.5-1.1 7.7.6 2.4 1.9 5.7 1.9 8.1 0h.2c0 .1.1.1.1.2z",fill:"#4cbf56"})]),{id:"sb3-greenFlag"}),SVG.setProps(SVG.el("polygon",{points:"6.6,0.5 13.12,0.5 19.5,6.6 19.5,13.12 13.12,19.5 6.6,19.5 0.5,13.12 0.5,6.6 ",fill:"#ec5959",stroke:"#b84848","stroke-linejoin":"round","stroke-linecap":"round"}),{id:"sb3-stopSign"}),SVG.el("path",{d:"M0 0L4 4L0 8Z",fill:"#111",id:"sb3-addInput"}),SVG.el("path",{d:"M4 0L4 8L0 4Z",fill:"#111",id:"sb3-delInput"}),SVG.setProps(SVG.group([SVG.el("rect",{x:"0",y:"0",width:"15",height:"18",fill:"#fff"}),SVG.el("rect",{x:"1",y:"1",width:"13",height:"4",fill:"#ff920f"}),SVG.el("rect",{x:"1",y:"7",width:"13",height:"4",fill:"#ff920f"}),SVG.el("rect",{x:"1",y:"13",width:"13",height:"4",fill:"#ff920f"})]),{id:"sb3-list"}),SVG.el("image",{id:"sb3-microbitBlock",width:"40px",height:"40px",href:"data:image/png;base64,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"}),SVG.setProps(SVG.group([SVG.el("path",{d:"M23.513 11.17h-.73c-.319 0-.576.213-.576.478v1.08h1.882v-1.08c0-.265-.258-.479-.576-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M24.91 11.17h-.73c-.319 0-.576.213-.576.478v1.08h1.882v-1.08c0-.265-.258-.479-.576-.479z"}),SVG.el("path",{d:"M9.54 11.17h-.728c-.32 0-.576.213-.576.478v1.08h1.882v-1.08c0-.265-.257-.479-.577-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M10.938 11.17h-.729c-.32 0-.576.213-.576.478v1.08h1.882v-1.08c0-.265-.257-.479-.577-.479z"}),SVG.el("path",{d:"M26.305 11.17h-.73c-.318 0-.574.213-.574.478v1.08h1.882v-1.08c0-.265-.26-.479-.578-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M27.702 11.17h-.73c-.318 0-.574.213-.574.478v1.08h1.882v-1.08c0-.265-.26-.479-.578-.479z"}),SVG.el("path",{d:"M29.101 11.17h-.73c-.318 0-.576.213-.576.478v1.08h1.882v-1.08c0-.265-.258-.479-.576-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M30.498 11.17h-.73c-.318 0-.576.213-.576.478v1.08h1.882v-1.08c0-.265-.258-.479-.576-.479z"}),SVG.el("path",{d:"M17.925 11.17h-.73c-.319 0-.577.213-.577.478v1.08h1.883v-1.08c0-.265-.258-.479-.576-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M19.322 11.17h-.73c-.319 0-.577.213-.577.478v1.08h1.883v-1.08c0-.265-.258-.479-.576-.479z"}),SVG.el("path",{d:"M20.717 11.17h-.73c-.319 0-.575.213-.575.478v1.08h1.883v-1.08c0-.265-.26-.479-.578-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M22.114 11.17h-.73c-.319 0-.575.213-.575.478v1.08h1.883v-1.08c0-.265-.26-.479-.578-.479z"}),SVG.el("path",{d:"M15.129 11.17H14.4c-.32 0-.576.213-.576.478v1.08h1.883v-1.08c0-.265-.258-.479-.578-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M16.526 11.17h-.729c-.32 0-.576.213-.576.478v1.08h1.883v-1.08c0-.265-.258-.479-.578-.479z"}),SVG.el("path",{d:"M12.335 11.17h-.73c-.319 0-.575.213-.575.478v1.08h1.882v-1.08c0-.265-.26-.479-.577-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M13.732 11.17h-.73c-.319 0-.575.213-.575.478v1.08h1.883v-1.08c0-.265-.26-.479-.578-.479z"}),SVG.el("path",{d:"M31.893 11.17h-.73c-.318 0-.574.213-.574.478v1.08h1.882v-1.08c0-.265-.26-.479-.578-.479",fill:"#7C87A5"}),SVG.el("path",{d:"M33.29 11.17h-.73c-.318 0-.574.213-.574.478v1.08h1.882v-1.08c0-.265-.26-.479-.578-.479z"}),SVG.el("path",{d:"M33.647 28.407H15.765V12.533h17.882c.52 0 .941.445.941.992v13.89c0 .547-.421.992-.94.992",fill:"#FFF"}),SVG.el("path",{d:"M33.647 28.407H15.765V12.533h17.882c.52 0 .941.445.941.992v13.89c0 .547-.421.992-.94.992z",stroke:"#7C87A5","stroke-width":".893"}),SVG.el("path",{d:"M15.765 28.407H5.412c-.52 0-.941-.445-.941-.993V16.502c0-2.19 1.686-3.969 3.764-3.969h15.06-3.766c-2.078 0-3.764 1.778-3.764 3.969v11.905z",fill:"#FFF"}),SVG.el("path",{d:"M15.765 28.407H5.412c-.52 0-.941-.445-.941-.993V16.502c0-2.19 1.686-3.969 3.764-3.969h15.06-3.766c-2.078 0-3.764 1.778-3.764 3.969v11.905z",stroke:"#7C87A5","stroke-width":".893"}),SVG.el("path",{d:"M12.941 12.533H11.06c-1.559 0-2.824 1.334-2.824 2.977v1.986c0 .547.422.992.941.992H12c.52 0 .941-.445.941-.992V15.51c0-1.643 1.265-2.977 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2.382-.876V21.67z",fill:"#000"})]),{id:"sb3-ttsBlock-high-contrast","stroke-opacity":.15}),SVG.el("image",{id:"sb3-translateBlock-high-contrast",width:"40px",height:"40px",href:"data:image/png;base64,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"})]}static iconName(t,r){return r==="high-contrast"&&highContrastIcons.has(t)?`${t}-high-contrast`:t}static makeStyle(){const t=SVG.el("style");return t.appendChild(SVG.cdata(xm.cssContent)),t}static get defaultFont(){return"500 12pt Helvetica Neue, Helvetica, sans-serif"}static get commentFont(){return"400 12pt Helvetica Neue, Helvetica, sans-serif"}};const{defaultFont,commentFont,makeStyle:makeStyle$1,makeOriginalIcons,makeHighContrastIcons,iconName}=Style$2;class LabelView{constructor(t){Object.assign(this,t),this.el=null,this.height=12,this.metrics=null,this.x=0}get isLabel(){return!0}draw(t){return this.el}get width(){return this.metrics.width}measure(){const t=this.value,r=`sb3-${this.cls}`;this.el=SVG.text(0,13,t,{class:`sb3-label ${r}`});let a=LabelView.metricsCache[r];if(a||(a=LabelView.metricsCache[r]=Object.create(null)),Object.hasOwnProperty.call(a,t))this.metrics=a[t];else{const s=/comment-label/.test(this.cls)?commentFont:defaultFont;this.metrics=a[t]=LabelView.measure(t,s)}}static measure(t,r){const a=LabelView.measuring;return a.font=r,{width:a.measureText(t).width+.5|0}}}LabelView.metricsCache={};LabelView.toMeasure=[];class IconView{constructor(t){Object.assign(this,t);const r=IconView.icons[this.name];if(!r)throw new Error(`no info for icon: ${this.name}`);Object.assign(this,r)}get isIcon(){return!0}draw(t){return SVG.symbol(`#sb3-${iconName(this.name,t)}`,{width:this.width,height:this.height})}static get icons(){return{greenFlag:{width:20,height:21,dy:-2},stopSign:{width:20,height:20},turnLeft:{width:24,height:24},turnRight:{width:24,height:24},loopArrow:{width:24,height:24},addInput:{width:4,height:8},delInput:{width:4,height:8},list:{width:15,height:18},musicBlock:{width:40,height:40},penBlock:{width:40,height:40},videoBlock:{width:40,height:40,dy:10},ttsBlock:{width:40,height:40},translateBlock:{width:40,height:40},wedoBlock:{width:40,height:40},ev3Block:{width:40,height:40},microbitBlock:{width:40,height:40},makeymakeyBlock:{width:40,height:40},gdxforBlock:{width:40,height:40},boostBlock:{width:40,height:40}}}}class LineView{constructor(){this.width=1,this.height=40,this.x=0}get isLine(){return!0}measure(){}draw(t,r){const a=r.info.category;return SVG.el("line",{class:`sb3-${a}-line`,"stroke-linecap":"round",x1:0,y1:0,x2:0,y2:40})}}class InputView{constructor(t){Object.assign(this,t),t.label&&(this.label=newView(t.label)),this.isBoolean=this.shape==="boolean",this.isDropdown=this.shape==="dropdown",this.isRound=!(this.isBoolean||this.isDropdown),this.x=0}get isInput(){return!0}measure(){this.hasLabel&&this.label.measure()}static get shapes(){return{string:SVG.pillRect,number:SVG.pillRect,"number-dropdown":SVG.pillRect,color:SVG.pillRect,dropdown:SVG.roundRect,boolean:SVG.pointedRect,stack:SVG.stackRect,reporter:SVG.pillRect}}draw(t,r){let a,s;if(this.isBoolean)a=48;else if(this.isColor)a=40;else if(this.hasLabel){s=this.label.draw(t);const m=this.label.width>=18?11:(40-this.label.width)/2;a=this.label.width+2*m,s=SVG.move(m,9,s)}else a=this.isInset?30:null;this.hasArrow&&(a+=20),this.width=a;const l=this.height=32,u=InputView.shapes[this.shape](a,l);SVG.setProps(u,{class:`${this.isColor?"":`sb3-${r.info.category}`} sb3-input sb3-input-${this.shape}`}),this.isColor?SVG.setProps(u,{fill:this.value}):this.shape==="dropdown"?r.info.color&&SVG.setProps(u,{fill:r.info.color,stroke:"rgba(0, 0, 0, 0.2)"}):this.shape==="number-dropdown"?(u.classList.add(`sb3-${r.info.category}-alt`),r.info.color&&SVG.setProps(u,{fill:"rgba(0, 0, 0, 0.1)",stroke:"rgba(0, 0, 0, 0.15)"})):this.shape==="boolean"&&(u.classList.remove(`sb3-${r.info.category}`),u.classList.add(`sb3-${r.info.category}-dark`),r.info.color&&SVG.setProps(u,{fill:"rgba(0, 0, 0, 0.15)"}));const _=SVG.group([u]);return this.hasLabel&&_.appendChild(s),this.hasArrow&&_.appendChild(SVG.move(a-24,13,SVG.symbol(t==="high-contrast"?"#sb3-dropdownArrow-high-contrast":"#sb3-dropdownArrow",{}))),_}}class BlockView{constructor(t){Object.assign(this,t),this.children=t.children.map(newView),this.comment=this.comment?newView(this.comment):null,this.isRound=this.isReporter,this.info={...t.info},Object.prototype.hasOwnProperty.call(aliasExtensions,this.info.category)&&(this.info.category=aliasExtensions[this.info.category]),Object.prototype.hasOwnProperty.call(extensions,this.info.category)&&(this.children.unshift(new LineView),this.children.unshift(new IconView({name:this.info.category+"Block"})),this.info.category="extension"),this.x=0,this.width=null,this.height=null,this.firstLine=null,this.innerWidth=null}get isBlock(){return!0}measure(){for(const t of this.children)t.measure&&t.measure();this.comment&&this.comment.measure()}static get shapes(){return{stack:SVG.stackRect,"c-block":SVG.stackRect,"if-block":SVG.stackRect,celse:SVG.stackRect,cend:SVG.stackRect,cap:SVG.capRect,reporter:SVG.pillRect,boolean:SVG.pointedRect,hat:SVG.hatRect,cat:SVG.catHat,"define-hat":SVG.procHatRect,ring:SVG.pillRect}}drawSelf(t,r,a,s){if(s.length>1)return SVG.mouthRect(r,a,this.isFinal,s,{class:`sb3-${this.info.category}`});if(this.info.shape==="outline")return SVG.setProps(SVG.stackRect(r,a),{class:`sb3-${this.info.category} sb3-${this.info.category}-alt`});if(this.isRing){const u=this.children[0];if(u&&(u.isInput||u.isBlock||u.isScript))return SVG.roundRect(r,a,{class:`sb3-${this.info.category}`})}const l=BlockView.shapes[this.info.shape];if(!l)throw new Error(`no shape func: ${this.info.shape}`);return l(r,a,{class:`sb3-${this.info.category}`})}static get padding(){return{hat:[24,8],cat:[24,8],"define-hat":[20,16],null:[4,4]}}horizontalPadding(t){if(this.isRound){if(t.isIcon)return 16;if(t.isLabel)return 12;if(t.isDropdown)return 12;if(t.isBoolean)return 12;if(t.isRound)return 4}else if(this.isBoolean){if(t.isIcon)return 24;if(t.isLabel)return 20;if(t.isDropdown)return 20;if(t.isRound&&t.isBlock)return 24;if(t.isRound)return 20;if(t.isBoolean)return 8}return 8}marginBetween(t,r){return t.isLabel&&r.isLabel?5:8}draw(t){const r=this.info.shape==="define-hat";let a=this.children;const s=this.isCommand,l=BlockView.padding[this.info.shape]||BlockView.padding.null,u=l[0],_=l[1];let m=this.info.shape==="cat"?16:0;const g=function(tc){this.y=tc,this.width=0,this.height=s?40:32,this.children=[]};let f=0,x=0,w=new g(m);const Z=()=>{Ce.length===0?w.height+=u+_:(w.height-=11,w.y-=2),m+=w.height,Ce.push(w)};if(this.info.isRTL){let tc=0;const nc=()=>{a=a.slice(0,tc).concat(a.slice(tc,ac).reverse()).concat(a.slice(ac))};let ac;for(ac=0;ac<a.length;ac++)a[ac].isScript&&(nc(),tc=ac+1);tc<ac&&nc()}const Ce=[];let ne,$e;for(let tc=0;tc<a.length;tc++){const nc=a[tc];if(nc.el=nc.draw(t,this),nc.isScript&&this.isCommand)this.hasScript=!0,Z(),nc.y=m-1,Ce.push(nc),x=Math.max(x,Math.max(1,nc.width)),nc.height=Math.max(29,nc.height+3)-2,m+=nc.height,w=new g(m),ne=null;else if(nc.isArrow)w.children.push(nc),ne=nc;else{if(Ce.length||($e=nc),ne&&(w.width+=this.marginBetween(ne,nc)),a[0]!=null){const ac=48-this.horizontalPadding(a[0]);(this.isCommand||this.isOutline)&&!nc.isLabel&&!nc.isIcon&&w.width<ac&&(w.width=ac)}nc.isIcon&&tc===0&&this.isCommand&&(w.height=Math.max(w.height,nc.height+8)),nc.x=w.width,w.width+=nc.width,f=Math.max(f,w.width),nc.isLabel||(w.height=Math.max(w.height,nc.height)),w.children.push(nc),ne=nc}}Z();let Ie=a.length?this.horizontalPadding(a[0]):0;const Dt=a.length?this.horizontalPadding($e):0;f+=Ie+Dt;const Lr=f;f=Math.max(this.hasScript?160:this.isHat?108:this.isCommand||this.isOutline?64:this.isReporter?48:0,f),this.isReporter&&(Ie+=(f-Lr)/2),this.height=m,this.width=x?Math.max(f,15+x):f,this.firstLine=Ce[0],this.innerWidth=f;const ec=[];for(let tc=0;tc<Ce.length;tc++){const nc=Ce[tc];if(nc.isScript){ec.push(SVG.move(16,nc.y,nc.el));continue}const ac=nc.height;for(let sc=0;sc<nc.children.length;sc++){const cc=nc.children[sc];if(cc.isArrow){ec.push(SVG.move(f-32,this.height-28,cc.el));continue}let uc=u+(ac-cc.height-u-_)/2;cc.isLabel&&tc===0?uc-=1:r&&cc.isLabel?uc+=3:cc.isIcon&&(uc+=cc.dy|0,this.isCommand&&tc===0&&sc===0&&(uc+=4));let lc=Ie+cc.x;cc.dx&&(lc+=cc.dx),ec.push(SVG.move(lc,nc.y+uc|0,cc.el))}}const ys=this.drawSelf(t,f,this.height,Ce);return ec.splice(0,0,ys),this.info.color&&SVG.setProps(ys,{fill:this.info.color,stroke:"rgba(0, 0, 0, 0.2)"}),SVG.group(ec)}}class CommentView{constructor(t){Object.assign(this,t),this.label=newView(t.label),this.width=null}get isComment(){return!0}static get lineLength(){return 12}get height(){return 20}measure(){this.label.measure()}draw(t){const r=this.label.draw(t);return this.width=this.label.width+16,SVG.group([SVG.commentLine(this.hasBlock?CommentView.lineLength:0,6),SVG.commentRect(this.width,this.height,{class:"sb3-comment"}),SVG.move(8,4,r)])}}class GlowView{constructor(t){Object.assign(this,t),this.child=newView(t.child),this.width=null,this.height=null,this.y=0}get isGlow(){return!0}measure(){this.child.measure()}drawSelf(){const t=this.child;let r;const a=this.width,s=this.height-1;return t.isScript?!t.isEmpty&&t.blocks[0].isHat?r=SVG.hatRect(a,s):t.isFinal?r=SVG.capRect(a,s):r=SVG.stackRect(a,s):r=t.drawSelf(a,s,[]),SVG.setProps(r,{class:"sb3-diff sb3-diff-ins"})}draw(t){const r=this.child,a=r.isScript?r.draw(t,!0):r.draw(t);return this.width=r.width,this.height=r.isBlock&&r.firstLine.height||r.height,SVG.group([a,this.drawSelf()])}}class ScriptView{constructor(t){Object.assign(this,t),this.blocks=t.blocks.map(newView),this.y=0}get isScript(){return!0}measure(){for(const t of this.blocks)t.measure()}draw(t,r){const a=[];let s=1;this.width=0;for(const u of this.blocks){const _=r?0:2,m=u.draw(t);if(a.push(SVG.move(_,s,m)),this.width=Math.max(this.width,u.width),u.diff==="-"){const x=u.width,w=u.firstLine.height||u.height;a.push(SVG.move(_,s+w/2+1,SVG.strikethroughLine(x))),this.width=Math.max(this.width,u.width)}s+=u.height;const f=u.comment;if(f){const x=u.firstLine,w=u.innerWidth+2+CommentView.lineLength,Z=s-u.height+x.height/2,Ce=f.draw(t);a.push(SVG.move(w,Z-f.height/2,Ce)),this.width=Math.max(this.width,w+f.width)}}const l=this.blocks[this.blocks.length-1];return this.height=s+1,!r&&!this.isFinal&&(this.height+=l.hasPuzzle?8:0),!r&&l.isGlow&&(this.height+=7),SVG.group(a)}}class DocumentView{constructor(t,r){Object.assign(this,t),this.scripts=t.scripts.map(newView),this.width=null,this.height=null,this.el=null,this.defs=null,this.scale=r.scale,this.iconStyle=r.style.replace("scratch3-","")}measure(){this.scripts.forEach(t=>{t.measure()})}render(t){if(typeof t=="function")throw new Error("render() no longer takes a callback");this.measure();let r=0,a=0;const s=[];for(let _=0;_<this.scripts.length;_++){const m=this.scripts[_];a&&(a+=10),m.y=a,s.push(SVG.move(0,a,m.draw(this.iconStyle))),a+=m.height,_!==this.scripts.length-1&&(a+=36),r=Math.max(r,m.width+4)}this.width=r,this.height=a;const l=SVG.newSVG(r,a,this.scale),u=this.iconStyle==="high-contrast"?makeHighContrastIcons():makeOriginalIcons();return l.appendChild(this.defs=SVG.withChildren(SVG.el("defs"),u)),l.appendChild(SVG.setProps(SVG.group(s),{style:`transform: scale(${this.scale})`})),this.el=l,l}exportSVGString(){if(this.el==null)throw new Error("call draw() first");const t=makeStyle$1();this.defs.appendChild(t);const r=new SVG.XMLSerializer().serializeToString(this.el);return this.defs.removeChild(t),r}exportSVG(){return`data:image/svg+xml;utf8,${this.exportSVGString().replace(/[#]/g,encodeURIComponent)}`}toCanvas(t,r){r=r||1;const a=SVG.makeCanvas();a.width=Math.max(1,this.width*r*this.scale),a.height=Math.max(1,this.height*r*this.scale);const s=a.getContext("2d"),l=new Image;l.src=this.exportSVG(),l.onload=()=>{s.save(),s.scale(r,r),s.drawImage(l,0,0),s.restore(),t(a)}}exportPNG(t,r){this.toCanvas(a=>{URL&&URL.createObjectURL&&Blob&&a.toBlob?a.toBlob(s=>{t(URL.createObjectURL(s))},"image/png"):t(a.toDataURL("image/png"))},r)}}const viewFor=n=>{switch(n.constructor){case Label:return LabelView;case Icon:return IconView;case Input:return InputView;case Block:return BlockView;case Comment:return CommentView;case Glow:return GlowView;case Script:return ScriptView;case Document:return DocumentView;default:throw new Error(`no view for ${n.constructor.name}`)}},newView=(n,t)=>new(viewFor(n))(n,t);function init$1(n){SVG.init(n),LabelView.measuring=SVG.makeCanvas().getContext("2d")}const makeStyle=Style$2.makeStyle;/*
 * scratchblocks
 * http://scratchblocks.github.io/
 *
 * Copyright 2013-2016, Tim Radvan
 * @license MIT
 * http://opensource.org/licenses/MIT
 */function init(n){const t=n.document;init$2(n),init$1(n);function r(){t.head.appendChild(makeStyle$2()),t.head.appendChild(makeStyle())}function a(m,g){if(g={style:"scratch2",...g},g.scale=g.scale||1,g.style==="scratch2")return newView$1(m,g);if(/^scratch3($|-)/.test(g.style))return newView(m,g);throw new Error(`Unknown style: ${g.style}`)}function s(m,g){if(typeof g=="function")throw new Error("render() no longer takes a callback");const x=a(m,g).render();return x.classList.add(`scratchblocks-style-${g.style}`),x}function l(m,g){g={inline:!1,...g};const f=m.innerHTML.replace(/<br>\s?|\n|\r\n|\r/gi,`
`),x=t.createElement("pre");x.innerHTML=f;let w=x.textContent;return g.inline&&(w=w.replace(`
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r of this._ops)t=t<<1^r.hash|0;return typeof this._head=="string"?t=t^xe(this._head)|0:t=t^this._head.hash|0,this._hash=t,t}infer(t){let r=this._def;return!r||!r.signature.inferredSignature?!1:(typeof r.signature.result!="function"&&(r.signature.result=dt$1(r.signature.result,t)),!0)}bind(){this._def=void 0,this._scope=this.engine.context;let t=this._head;if(typeof t!="string"){t.bind();return}this._def=this.engine.lookupFunction(t);for(let r of this._ops)r.bind()}reset(){}get isExact(){return Fi(this)&&this.op1.isExact}get isCanonical(){return this._canonical===this}set isCanonical(t){this._canonical=t?this:void 0}get isPure(){var r;if(this._isPure!==void 0)return this._isPure;if(!this.isCanonical)return this._isPure=!1,!1;let t=((r=this.functionDefinition)==null?void 0:r.pure)??!1;return t&&(t=this._ops.every(a=>a.isPure)),this._isPure=t,t}get json(){return this.isValid&&this._canonical===this?hu$1(this.engine,this._head,this._ops,{latex:this._latex,wikidata:this.wikidata}):O(this.engine,this._head,this._ops,{latex:this._latex,wikidata:this.wikidata})}get rawJson(){return[typeof this._head=="string"?this._head:this._head.rawJson,...this.ops.map(t=>t.rawJson)]}get scope(){return this._scope}get head(){return this._head}get ops(){return this._ops}get nops(){return this._ops.length}get op1(){return this._ops[0]??this.engine.Nothing}get op2(){return this._ops[1]??this.engine.Nothing}get op3(){return this._ops[2]??this.engine.Nothing}get isValid(){return this._head==="Error"||typeof this._head!="string"&&!this._head.isValid?!1:this._ops.every(t=>t==null?void 0:t.isValid)}get canonical(){return this._canonical??(this._canonical=this.isValid?yr(this.engine,this._head,this._ops):this),this._canonical}*map(t){let r=0;for(;r<this._ops.length;)yield t(this._ops[r++])}subs(t,r){r=r?{...r}:{},"canonical"in r||(r.canonical=!0);let a=this._ops.map(s=>s.subs(t,r));return r.canonical&&a.every(s=>s.isValid)?yr(this.engine,this._head,a):new ym(this.engine,this._head,a,{canonical:!1})}replace(t,r){return er(this,t,r)}has(t){if(typeof this._head=="string"){if(typeof t=="string"){if(this._head===t)return!0}else if(t.includes(this._head))return!0}for(let r of this._ops)if(r.has(t))return!0;return!1}isSame(t){if(this===t)return!0;if(!(t instanceof ym)||this.nops!==t.nops)return!1;if(typeof this.head=="string"){if(this.head!==t.head)return!1}else if(typeof t.head=="string"||!t.head||!this.engine.box(this.head).isSame(this.engine.box(t.head)))return!1;let r=this._ops,a=t._ops;for(let s=0;s<r.length;s++)if(!r[s].isSame(a[s]))return!1;return!0}match(t,r){if(!(t instanceof ym))return null;let a={};if(typeof this.head=="string"){if(this.head!==t.head)return null}else{if(typeof t.head=="string")return null;{if(!t.head)return null;let u=this.head.match(t.head,r);if(u===null)return null;a={...a,...u}}}let s=this._ops,l=t._ops;for(let u=0;u<s.length;u++){let _=s[u].match(l[u],r);if(_===null)return null;a={...a,..._}}return a}get complexity(){var t;if(this.isCanonical)return((t=this.functionDefinition)==null?void 0:t.complexity)??cn$1}get baseDefinition(){return this.functionDefinition}get functionDefinition(){return this._def}isEqual(t){if(this===t)return!0;let r=ni$1(this,t);return r===0?!0:r!==void 0?!1:this.engine.add(this,this.engine.neg(t)).simplify().isZero?!0:this.isSame(t)}get isNumber(){var t;return(t=this.domain)==null?void 0:t.isCompatible("Numbers")}get isInteger(){var t;return(t=this.domain)==null?void 0:t.isCompatible("Integers")}get isRational(){var t;return(t=this.domain)==null?void 0:t.isCompatible("RationalNumbers")}get isAlgebraic(){var t;return(t=this.domain)==null?void 0:t.isCompatible("AlgebraicNumbers")}get isReal(){var t;return(t=this.domain)==null?void 0:t.isCompatible("RealNumbers")}get isExtendedReal(){var t;return(t=this.domain)==null?void 0:t.isCompatible("ExtendedRealNumbers")}get isComplex(){var t;return(t=this.domain)==null?void 0:t.isCompatible("ComplexNumbers")}get isImaginary(){var t;return(t=this.domain)==null?void 0:t.isCompatible("ImaginaryNumbers")}get domain(){if(this._result!==void 0)return this._result;if(!this.canonical)return;let t=this.engine,r;if(typeof this._head!="string")r=this._head.domain;else if(this._def){let a=this._def.signature;typeof a.result=="function"?r=a.result(t,this._ops):r=a.result}return r??(r=void 0),this._result=r,r}simplify(t){var g;if(!this.isValid)return this;if(!this.isCanonical){let f=this.canonical;return!f.isCanonical||!f.isValid?this:f.simplify(t)}let r=(t==null?void 0:t.recursive)??!0,a;if(r&&(a=rn(this),a!==null))return a=a.simplify({...t,recursive:!1}),Et$1(this,a);let s=this.functionDefinition,l=r?Eu(this._ops,(s==null?void 0:s.hold)??"none",s!=null&&s.associative?s.name:"",f=>f.simplify(t)):this._ops;if(typeof this._head!="string"){let f=ui(this._head,l);return typeof f.head!="string"?f:f.simplify(t)}if(s)if(s.inert)a=((g=l[0])==null?void 0:g.canonical)??this;else{let f=s.signature;f!=null&&f.simplify&&(a=f.simplify(this.engine,l))}a?a=Et$1(this.engine.box([this._head,...l]),a):a=this.engine.box([this._head,...l]),a=Et$1(this,a);let u=(t==null?void 0:t.rules)??this.engine.cache("standard-simplification-rules",()=>ti(this.engine,xu),f=>{for(let[x,w,Z,Ce]of f)x.reset(),w.reset();return f}),_=0,m=!1;do{let f=a.replace(u);f!==null?(a=Et$1(a,f),a===f&&(m=!0)):m=!0,_+=1}while(!m&&_<this.engine.iterationLimit);return Et$1(this,a)}evaluate(t){if(!this.isValid)return this;if(t!=null&&t.numericMode){let u=this.head;if(u==="Integrate"||u==="Limit")return this.engine.box(["N",this],{canonical:!0}).evaluate(t)}if(!this.isCanonical){this.engine.pushScope();let u=this.canonical;return this.engine.popScope(),!u.isCanonical||!u.isValid?this:u.evaluate(t)}let r=this.functionDefinition;if(r!=null&&r.threadable&&this.ops.some(u=>ue(u))){let u=Math.max(...this._ops.map(m=>{var g,f;return((f=(g=m.functionDefinition)==null?void 0:g.size)==null?void 0:f.call(g,m))??0})),_=[];for(let m=0;m<=u-1;m++){let g=this._ops.map(f=>ue(f)?Ua(f,m%u+1)??this.engine.Nothing:f);_.push(this.engine._fn(this.head,g).evaluate(t))}return _.length===0?this.engine.box(["Sequence"]):_.length===1?_[0]:this.engine._fn("List",_)}let a=Eu(this._ops,(r==null?void 0:r.hold)??"none",r!=null&&r.associative?r.name:"",u=>u.evaluate(t));if(r!=null&&r.inert)return a[0]??this;let s;typeof this._head!="string"&&(s=ui(this._head,a));let l=r==null?void 0:r.signature;if(!s&&l){let u=(t==null?void 0:t.numericMode)??!1,_=this.engine.swapScope(this.scope);u&&l.N&&(s=l.N(this.engine,a)),!s&&l.evaluate&&(s=l.evaluate(this.engine,a)),this.engine.swapScope(_)}if(s){let u=s.numericValue;u!==null&&(!ae(this.engine)&&u instanceof vu.Complex?s=this.engine.NaN:!F$1(this.engine)&&u instanceof v&&(s=this.engine.number(u.toNumber())))}return s??this.engine.box([this._head,...a])}N(t){return this.evaluate({...t,numericMode:!0})}solve(t){return t.length!==1?null:mr$1(this.simplify(),t[0])}};function cd(n,t,r,a){let s=[];if(t==="Add"||t==="Multiply")s=Pe(n,n.canonical(r),{flatten:t});else if(t==="Negate"||t==="Square"||t==="Sqrt"||t==="Exp"||t==="Ln")s=Pe(n,n.canonical(r),1);else if(t==="Divide"||t==="Power")s=Pe(n,n.canonical(r),2);else return null;if(!s.every(l=>l.isValid))return n._fn(t,s,a);if(t==="Add")return In$1(n,te$1(oe(s),"Add"));if(t==="Negate")return ge$1(s[0]);if(t==="Multiply")return bt(n,te$1(oe(s),"Multiply"));if(t==="Divide")return on$1(n,s[0].canonical,s[1].canonical);if(t==="Exp")return kn(n,n.E,s[0].canonical);if(t==="Power")return kn(n,s[0].canonical,s[1].canonical);if(t==="Square")return kn(n,s[0].canonical,n.number(2));if(t==="Sqrt"){let l=s[0].canonical;return U(l.numericValue)?n._fn("Sqrt",[l],a):kn(n,l,n.Half)}return t==="Ln"?n._fn("Ln",s,a):null}function yr(n,t,r,a){if(typeof t!="string"&&(n.pushScope(),t=t.evaluate().symbol??t,n.popScope()),typeof t=="string"){let m=cd(n,t,r,a);if(m)return m}else if(!t.isValid)return new be$1(n,t,r.map(m=>n.box(m,{canonical:!1})),{metadata:a,canonical:!1});let s=n.lookupFunction(t);if(!s)return new be$1(n,t,oe(r.map(m=>n.box(m))),{metadata:a,canonical:!0});let l=[];for(let m=0;m<r.length;m++)if(!Bn$1(s.hold,r.length-1,m))l.push(n.box(r[m]));else{let g=n.box(r[m],{canonical:!1});g.head==="ReleaseHold"?l.push(g.op1.canonical):l.push(g)}let u=s.signature;if(u.canonical){try{let m=u.canonical(n,l);if(m)return m}catch(m){console.error(m)}return new be$1(n,t,l,{metadata:a,canonical:!1})}l=oe(l),s.associative&&(l=te$1(l,t));let _=ja(n,l,s.hold,s.threadable,u.params,u.optParams,u.restParam);if(_)return n._fn(t,_,a);if(l.length===1&&l[0].head===t){if(s.involution)return l[0].op1;s.idempotent&&(l=l[0].ops)}return l.length>1&&s.commutative===!0&&(l=l.sort(tn)),n._fn(t,l,a)}function Eu(n,t,r,a){if(n.length===0)return[];if(n=te$1(n,r),t==="all")return n;if(t==="none"){let l=[];for(let u of n){let _=u.head;if(_==="Hold")l.push(u);else{let m=_==="ReleaseHold"?u.op1:u;if(m){let g=a(m);g!==null&&l.push(g)}}}return te$1(l,r)}let s=[];for(let l=0;l<n.length;l++)if(n[l].head==="Hold")s.push(n[l]);else{let u;if(n[l].head==="ReleaseHold"?u=n[l].op1:Bn$1(t,n.length-1,l)?s.push(n[l]):u=n[l],u){let _=a(u);_!==null&&s.push(_)}}return te$1(s,r)}function Et$1(n,t){if(t==null||n===t)return n;let r=n.engine,a=r.box(t);return r.costFunction(a)<=1.2*r.costFunction(n)?a:n}var Re=pe(ce$1(),1),md$1=0x3ffffffffffe5;function jn$1(n){if(!Number.isInteger(n)||!Number.isFinite(n)||Number.isNaN(n)||n<=1)return!1;if(n<=Ia)return bo.has(n);for(let t of bo)if(n%t===0)return!1;return n>=md$1?hd$1(n,30)?void 0:!1:n===pd$1(n)}function pd$1(n){if(n===1)return 1;if(n%2===0)return 2;if(n%3===0)return 3;if(n%5===0)return 5;let t=Math.floor(Math.sqrt(n)),r=7;for(;r<=t;){if(n%r===0)return r;if(n%(r+4)===0)return r+4;if(n%(r+6)===0)return r+6;if(n%(r+10)===0)return r+10;if(n%(r+12)===0)return r+12;if(n%(r+16)===0)return r+16;if(n%(r+22)===0)return r+22;if(n%(r+24)===0)return r+24;r+=30}return n}function hd$1(n,t){let r=0,a=n-1;for(;a%2===0;)a/=2,++r;e:do{let s=Math.pow(2+Math.floor(Math.random()*(n-3)),a)%n;if(!(s===1||s===n-1)){for(let l=r-1;l--;){if(s=s*s%n,s===1)return!1;if(s===n-1)continue e}return!1}}while(--t);return!0}var le$1=class Zm extends L{constructor(t,r,a){if(super(t,a==null?void 0:a.metadata),typeof r=="number"){this._value=r,this._isCanonical=!0;return}if(U(r)){let[s,l]=r;!(typeof s=="bigint"&&typeof l=="bigint")||l!==s&&BigInt(1),(a==null?void 0:a.canonical)??!0?(this._value=jo(t,r),this._isCanonical=!0):(this._value=r,this._isCanonical=!1)}else!(r instanceof Re.Complex)||!Number.isNaN(r.re)&&!Number.isNaN(r.im)&&t.chop(r.im),this._value=jo(t,r),this._isCanonical=!0}get hash(){if(this._hash!==void 0)return this._hash;let t=0;return typeof this._value=="number"?t=xe(this._value.toString()):this._value instanceof Re.Complex?t=xe(this._value.re.toString()+" +i "+this._value.im.toString()):this._value instanceof v?t=xe(this._value.toString()):t=xe(this._value[0].toString()+" / "+this._value[1].toString()),this._hash=t,t}get head(){return"Number"}get isPure(){return!0}get isExact(){let t=this._value;return typeof t=="number"?Number.isInteger(t):t instanceof v?t.isInteger():t instanceof Re.Complex?Number.isInteger(t.re)&&Number.isInteger(t.im):U(t)}get isCanonical(){return this._isCanonical}set isCanonical(t){this._isCanonical=t}get complexity(){return 1}get numericValue(){return this._value}get domain(){return this._domain??(this._domain=this.engine.domain(Va(this._value))),this._domain}get json(){return ai(this.engine,this._value,{latex:this._latex})}get sgn(){if(this._value===0)return 0;if(typeof this._value=="number")return this._value<0?-1:this._value>0?1:null;if(this._value instanceof v)return this._value.isZero()?0:this._value.isNegative()?-1:this._value.isPositive()?1:null;if(Array.isArray(this._value)){let[t,r]=this._value;return t===0&&r!==0?0:t<0?-1:t>0?1:null}return null}isSame(t){if(this===t)return!0;if(!(t instanceof Zm))return!1;if(typeof this._value=="number")return typeof t._value!="number"?!1:this._value===t._value;if(this._value instanceof v)return t._value instanceof v?this._value.eq(t._value):!1;if(Array.isArray(this._value)){if(!Array.isArray(t._value))return!1;let[r,a]=t._value;return this._value[0]===r&&this._value[1]===a}return this._value instanceof Re.Complex&&t._value instanceof Re.Complex?this._value.equals(t._value):!1}isEqual(t){return this===t||ni$1(this,t)===0}match(t,r){return this.isEqualWithTolerance(t,(r==null?void 0:r.numericTolerance)??0)?{}:null}isEqualWithTolerance(t,r){return t instanceof Zm&&ni$1(this,t,r)===0}isLess(t){let r=ni$1(this,t);if(r!==void 0)return r<0}isLessEqual(t){let r=ni$1(this,t);if(r!==void 0)return r<=0}isGreater(t){return t.isLessEqual(this)}isGreaterEqual(t){return t.isLess(this)}get isPositive(){if(typeof this._value=="number")return this._value>0;let t=this.sgn;if(t!=null)return t>0}get isNonNegative(){if(typeof this._value=="number")return this._value>=0;let t=this.sgn;if(t!=null)return t>=0}get isNegative(){if(typeof this._value=="number")return this._value<0;let t=this.sgn;if(t!=null)return t<0}get isNonPositive(){if(typeof this._value=="number")return this._value<=0;let t=this.sgn;if(t!=null)return t<=0}get isZero(){return this._value===0?!0:this._value instanceof v?this._value.isZero():this._value instanceof Re.Complex?this._value.isZero():!1}get isNotZero(){return this._value===0?!1:this._value instanceof v?!this._value.isZero():this._value instanceof Re.Complex?!this._value.isZero():!0}get isOne(){return this._value===1?!0:typeof this._value=="number"?!1:this._value instanceof v?this._value.equals(this.engine._BIGNUM_ONE):this._value instanceof Re.Complex?this._value.im===0&&this._value.re===1:ie$1(this._value)}get isNegativeOne(){return this._value===-1?!0:typeof this._value=="number"?!1:this._value instanceof v?this._value.equals(this.engine._BIGNUM_NEGATIVE_ONE):this._value instanceof Re.Complex?this._value.im===0&&this._value.re===-1:Si(this._value)}get isOdd(){if(this.isOne||this.isNegativeOne)return!0;if(this.isZero||!this.isInteger)return!1;if(typeof this._value=="number")return this._value%2!==0;if(this._value instanceof v)return!this._value.mod(2).isZero()}get isEven(){if(this.isOne||this.isNegativeOne)return!1;if(this.isZero)return!0;if(!this.isInteger)return!1;if(typeof this._value=="number")return this._value%2===0;if(this._value instanceof v)return this._value.mod(2).isZero()}get isPrime(){if(!this.isInteger||!this.isFinite||this.isNonPositive||this.isOne||this.isZero)return!1;if(typeof this._value=="number")return jn$1(this._value);if(this._value instanceof v)return jn$1(this._value.toNumber())}get isComposite(){if(!this.isInteger||!this.isFinite||this.isNonPositive||this.isOne||this.isZero)return!1;if(typeof this._value=="number")return!jn$1(this._value);if(this._value instanceof v)return!jn$1(this._value.toNumber())}get isInfinity(){return typeof this._value=="number"?!Number.isFinite(this._value)&&!Number.isNaN(this._value):this._value instanceof v?!this._value.isFinite()&&!this._value.isNaN():this._value instanceof Re.Complex?!this._value.isFinite()&&!this._value.isNaN():!1}get isNaN(){return typeof this._value=="number"?Number.isNaN(this._value):this._value instanceof v?this._value.isNaN():this._value instanceof Re.Complex?this._value.isNaN():!1}get isFinite(){return!this.isInfinity&&!this.isNaN}get isNumber(){return!0}get isInteger(){return typeof this._value=="number"?Number.isInteger(this._value):this._value instanceof v?this._value.isInteger():!1}get isRational(){return Array.isArray(this._value)?!0:this.isInteger}get isAlgebraic(){if(this.isRational)return!0}get isReal(){return this.isFinite?this._value instanceof Re.Complex?this.engine.chop(this._value.im)===0:!0:!1}get isExtendedReal(){return this.isInfinity||this.isReal}get isComplex(){return!this.isNaN}get isImaginary(){return this._value instanceof Re.Complex?(this._value.im,!0):!1}get isExtendedComplex(){return this.isInfinity||!this.isNaN}get canonical(){return this._isCanonical?this:this.engine.number(jo(this.engine,this._value))}simplify(t){return this.canonical}evaluate(t){return t!=null&&t.numericMode?this.N(t):this}N(t){if(!Array.isArray(this._value))return this;let r=this.engine,[a,s]=this._value;return typeof a=="number"&&typeof s=="number"&&!F$1(r)?r.number(a/s):r.number(r.bignum(a).div(r.bignum(s)))}};function jo(n,t){if(t instanceof v&&pr$1(t))return t.toNumber();if(!U(t))return t;if(t=Ge$1(t),K(t)){let[s,l]=t;if(s>Number.MIN_SAFE_INTEGER&&s<Number.MAX_SAFE_INTEGER&&l>Number.MIN_SAFE_INTEGER&&l<Number.MAX_SAFE_INTEGER)t=[Number(s),Number(l)];else return l<0&&([s,l]=[-s,-l]),l===BigInt(1)?n.bignum(s):l===BigInt(0)?s===l?NaN:s<0?-1/0:1/0:[s,l]}let[r,a]=t;return Number.isNaN(r)||Number.isNaN(a)?NaN:(a<0&&([r,a]=[-r,-a]),a===1?r:a===0?r===0||!Number.isFinite(r)?NaN:r<0?-1/0:1/0:r===0?r:[r,a])}var pn$1=class wb extends L{constructor(t,r,a){super(t,a),this._string=r.normalize(),t._register(this)}get hash(){return xe("String"+this._string)}get json(){return gu$1(this.engine,this._string)}get head(){return"String"}get isPure(){return!0}get isCanonical(){return!0}set isCanonical(t){}get domain(){return this.engine.Strings}get complexity(){return 19}get string(){return this._string}isEqual(t){return t.string===this._string}isSame(t){return t.string===this._string}match(t,r){return t instanceof wb&&this._string===t._string?{}:null}},Wo$1=pe(ce$1(),1);function Er(n,t){switch(t){case"float64":case"float32":case"int32":case"uint8":return new Zo(n);case"complex128":case"complex64":return new Jo(n);case"bool":case"string":case"expression":return new Ho$1(n)}throw new Error(`Unknown dtype ${t}`)}var Zo=class{constructor(n){this.ce=n,this.one=1,this.zero=0,this.nan=NaN}cast(n,t){let r=this.ce;switch(t){case"float64":case"float32":case"int32":case"uint8":return n;case"complex128":case"complex64":return Array.isArray(n)?n.map(a=>r.complex(a)):this.ce.complex(n);case"bool":return Array.isArray(n)?n.map(a=>a!==0):n!==0;case"string":return Array.isArray(n)?n.map(a=>Number(a).toString()):Number(n).toString();case"expression":return Array.isArray(n)?n.map(a=>r.number(a)):r.number(n)}throw new Error(`Cannot cast ${n} to ${t}`)}expression(n){return this.ce.number(n)}isZero(n){return n===0}isOne(n){return n===1}equals(n,t){return n===t}add(n,t){return n+t}addn(...n){return n.reduce((t,r)=>t+r,0)}neg(n){return-n}sub(n,t){return n-t}mul(n,t){return n*t}muln(...n){return n.reduce((t,r)=>t*r,1)}div(n,t){return n/t}pow(n,t){return n**t}conjugate(n){return n}},Ho$1=class{constructor(t){this.one=t.One,this.zero=t.Zero,this.nan=t.NaN,this.ce=t}cast(t,r){if(Array.isArray(t))return t.map(s=>this.cast(s,r));let a=t.value;switch(r){case"float64":case"float32":return typeof a=="number"?a:void 0;case"int32":return typeof a=="number"?Math.round(a):void 0;case"uint8":if(typeof a!="number")return;let s=Math.round(a);return s>=0&&s<=255?s:void 0;case"complex128":case"complex64":if(typeof a=="number")return this.ce.complex(a);let l=t.numericValue;return l instanceof Wo$1.default?l:void 0;case"bool":return typeof a=="boolean"?a:void 0;case"string":return typeof a=="string"?a:void 0;case"expression":return t}throw new Error(`Cannot cast ${t} to ${r}`)}expression(t){return t}isZero(t){return t.isZero??!1}isOne(t){return t.isOne??!1}equals(t,r){return t.isEqual(r)}add(t,r){return this.ce.add(t,r)}addn(...t){return this.ce.add(...t)}neg(t){return this.ce.neg(t)}sub(t,r){return this.ce.add(t,this.ce.neg(r))}mul(t,r){return this.ce.mul(t,r)}muln(...t){return this.ce.mul(...t)}div(t,r){return this.ce.div(t,r)}pow(t,r){return this.ce.pow(t,r)}conjugate(t){return this.ce.box(["Conjugate",t])}},Jo=class{constructor(n){this.ce=n,this.one=n.complex(1),this.zero=n.complex(0),this.nan=n.complex(NaN)}cast(n,t){if(Array.isArray(n))return n.map(r=>this.cast(r,t));switch(t){case"float64":return n.im===0?n.re:void 0;case"float32":return n.im===0?n.re:void 0;case"int32":return n.im===0?Math.round(n.re):void 0;case"uint8":if(n.im!==0)return;let r=Math.round(n.re);return r>=0&&r<=255?r:void 0;case"complex128":return n;case"complex64":return n;case"bool":return!(n.im===0&&n.re===0);case"string":return n.toString();case"expression":return this.ce.number(n)}throw new Error(`Cannot cast ${n} to ${t}`)}expression(n){return this.ce.number(n)}isZero(n){return n.isZero()}isOne(n){return n.re===1&&n.im===0}equals(n,t){return n.equals(t)}add(n,t){return n.add(t)}addn(...n){return n.reduce((t,r)=>t.add(r),this.zero)}neg(n){return n.neg()}sub(n,t){return n.sub(t)}mul(n,t){return n.mul(t)}muln(...n){return n.reduce((t,r)=>t.mul(r),this.one)}div(n,t){return n.div(t)}pow(n,t){return n.pow(t)}conjugate(n){return n.conjugate()}};function vr$1(n,t){return n===t?n:n==="string"||t==="string"||n==="expression"||t==="expression"?"expression":n==="complex128"||t==="complex128"?"complex128":n==="complex64"||t==="complex64"?"complex64":n==="float64"||t==="float64"?"float64":n==="float32"||t==="float32"?"float32":n==="int32"||t==="int32"?"int32":n==="uint8"||t==="uint8"?"uint8":n==="bool"||t==="bool"?"bool":"expression"}function Yo$1(n){let t=n.value;if(typeof t=="number")return Number.isInteger(t)?t>=0&&t<=255?"uint8":"int32":"float64";let r=n.numericValue;return r!==null&&r instanceof Wo$1.default?"complex128":n.string?"string":"expression"}var Zn=class V1{constructor(t,r){this.ce=t,this.shape=r.shape,this.rank=this.shape.length,this._strides=gd$1(this.shape),this.field=Er(t,r.dtype)}static align(t,r){if(t.dtype===r.dtype)return[t,r];let a=vr$1(t.dtype,r.dtype);return t.dtype===a?[t,r.upcast(a)]:[t.upcast(a),r]}static broadcast(t,r,a){if(!(a instanceof V1))return r.map1(t,a);let[s,l]=V1.align(r,a),u=s.data.map((_,m)=>t(_,l.data[m]));return hn$1(s.ce,{dtype:s.dtype,shape:s.shape,data:u})}get expression(){let t=this.shape,r=this.rank,a=this.data,s=this._index.bind(this),l=this.field.expression.bind(this.field),u=_=>{if(_.length===r-1){let m=s(_),g=this.ce._fn("List",a.slice(m,m+t[r-1]).map(f=>l(f)));return g.isCanonical=g.ops.every(f=>f.isCanonical),g}else{let m=[];for(let f=0;f<=t[_.length]-1;f++)m.push(u([..._,f+1]));let g=this.ce._fn("List",m);return g.isCanonical=g.ops.every(f=>f.isCanonical),g}};return u([])}get array(){let t=this.shape,r=this.rank,a=this.data;if(r===1)return a;if(r===2){let[u,_]=t,m=new Array(u);for(let g=0;g<u;g++)m[g]=a.slice(g*_,(g+1)*_);return m}let s=this._index.bind(this),l=u=>{if(u.length===r-1){let _=s(u);return a.slice(_,_+t[r-1])}else{let _=[];for(let m=0;m<t[u.length];m++)_.push(l([...u,m+1]));return _}};return l([])}_index(t){let r=this._strides;return t.reduce((a,s,l)=>a+(s-1)*r[l],0)}get isSquare(){let t=this.shape;return t.length===2&&t[0]===t[1]}get isSymmetric(){if(!this.isSquare)return!1;let t=this.shape[0],r=this.data,a=this.field.equals.bind(this.field);for(let s=0;s<t;s++)for(let l=s+1;l<t;l++)if(!a(r[s*t+l],r[l*t+s]))return!1;return!0}get isSkewSymmetric(){if(!this.isSquare)return!1;let t=this.shape[0],r=this.data,a=this.field.equals.bind(this.field),s=this.field.neg.bind(this.field);for(let l=0;l<t;l++)for(let u=l+1;u<t;u++)if(!a(r[l*t+u],s(r[u*t+l])))return!1;return!0}get isUpperTriangular(){if(!this.isSquare)return!1;let t=this.shape[0],r=this.data,a=this.field.isZero.bind(this.field);for(let s=1;s<t;s++)for(let l=0;l<s;l++)if(a(r[s*t+l]))return!1;return!0}get isLowerTriangular(){if(!this.isSquare)return!1;let t=this.shape[0],r=this.data,a=this.field.isZero.bind(this.field);for(let s=0;s<t-1;s++)for(let l=s+1;l<t;l++)if(!a(r[s*t+l]))return!1;return!0}get isTriangular(){if(!this.isSquare)return!1;let t=this.shape[0],r=this.data,a=this.field.isZero.bind(this.field);for(let s=0;s<t;s++)for(let l=0;l<t;l++)if(s<l&&!a(r[s*t+l])||s>l&&!a(r[s*t+l]))return!1;return!0}get isDiagonal(){if(!this.isSquare)return!1;let t=this.shape[0],r=this.data,a=this.field.isZero.bind(this.field);for(let s=0;s<t;s++)for(let l=0;l<t;l++)if(s===l&&!a(r[s*t+l])||s!==l&&!a(r[s*t+l]))return!1;return!0}get isIdentity(){if(!this.isSquare)return!1;let[t,r]=this.shape,a=this.data,s=this.field.isOne.bind(this.field),l=this.field.isZero.bind(this.field);for(let u=0;u<r;u++)for(let _=0;_<r;_++)if(u===_&&!s(a[u*r+_])||u!==_&&!l(a[u*r+_]))return!1;return!0}get isZero(){let t=this.field.isZero.bind(this.field);return this.data.every(r=>t(r))}at(...t){let r=this.data.length;return this.data[this._index(t)%r]}diagonal(t,r){if(t??(t=1),r??(r=2),t===r||t<=0||t>this.shape.length||this.shape[t-1]!==this.shape[r-1])return;let a=new Array(this.shape[t-1]),s=this.data,l=this.shape[t-1];for(let u=0;u<l;u++)a[u]=s[u*l+u];return a}trace(t,r){if(this.rank!==2)return;let[a,s]=this.shape;if(a!==s)return;let l=this.data,u=new Array(a);for(let _=0;_<a;_++)u[_]=l[_*a+_];return this.field.addn(...u)}reshape(...t){return hn$1(this.ce,{dtype:this.dtype,shape:t,data:this.data})}flatten(){return this.data}upcast(t){let r=this.field.cast(this.data,t);if(r===void 0)throw Error(`Cannot cast tensor to ${t}`);return hn$1(this.ce,{dtype:t,shape:this.shape,data:r})}transpose(t,r,a){if(this.rank!==2)return;if(t??(t=1),r??(r=2),t===r)return this;if(t<=0||t>2||r<=0||r>2)return;let[s,l]=this.shape,u=this.data;a&&(u=u.map(f=>a(f)));let _=0,m=new Array(s*l),g=l;for(let f=0;f<l;f++)for(let x=0;x<s;x++)m[_++]=u[x*g+f];return hn$1(this.ce,{dtype:this.dtype,shape:[l,s],data:m})}conjugateTranspose(t,r){let a=this.field.conjugate.bind(this.field);return this.transpose(t,r,a)}determinant(){if(this.rank!==2)return;let[t,r]=this.shape;if(t!==r)return;if(t===1)return this.data[0];let a=this.field.add.bind(this.field),s=this.field.mul.bind(this.field),l=this.field.neg.bind(this.field);if(t===2){let[ne,$e,Ie,Dt]=this.data;return a(s(ne,Dt),l(s($e,Ie)))}let u=this.field.addn.bind(this.field),_=this.field.muln.bind(this.field);if(t===3){let[ne,$e,Ie,Dt,Lr,ec,ys,tc,nc]=this.data;return u([_(ne,Lr,nc),_($e,ec,ys),_(Ie,Dt,tc),l(_(Ie,Lr,ys)),l(_($e,Dt,nc)),l(_(ne,ec,tc))])}let m=this.shape[0],g=!1,f=this.field.div.bind(this.field),x=this.field.sub.bind(this.field),w=new Array(m).fill(0).map((ne,$e)=>$e),Z=[...this.data];for(let ne=0;ne<m;ne++){let $e=w[ne-1];if(this.at($e,ne)===0){let Lr;for(Lr=ne+1;Lr<m;Lr++)if(this.at(w[Lr],ne)!==0){$e=w[Lr],w[Lr-1]=w[ne-1],w[ne-1]=$e,g=!g;break}if(Lr===m)return this.at($e,ne)}let Ie=this.at($e,ne),Dt=ne===0?1:this.at(w[ne-2],ne-2);for(let Lr=ne+1;Lr<m;Lr++){let ec=w[Lr-1];for(let ys=ne+1;ys<m;ys++)Z[ec][ys]=f(x(s(Z[ec][ys],Ie),s(Z[ec][ne],Z[$e][ys])),Dt)}}let Ce=Z[w[m-1]][m-1];return g?this.field.neg(Ce):Ce}inverse(){if(this.rank!==2)return;let[t,r]=this.shape;if(t!==r)return;if(t===2){let[w,Z,Ce,ne]=this.data,$e=this.determinant();if($e===void 0||this.field.isZero($e))return;let Ie=this.field.div.bind(this.field),Dt=this.field.neg.bind(this.field),Lr=[Ie(ne,$e),Dt(Ie(Z,$e)),Dt(Ie(Ce,$e)),Ie(w,$e)];return hn$1(this.ce,{dtype:this.dtype,shape:[r,r],data:Lr})}let a=this.shape[0],s=this.field.div.bind(this.field),l=this.field.sub.bind(this.field),u=this.field.mul.bind(this.field),_=this.array,m=new Array(a).fill(0).map((w,Z)=>{let Ce=new Array(a).fill(0);return Ce[Z]=1,Ce}),g=_.map((w,Z)=>[...w,...m[Z]]),f=new Array(a).fill(0).map((w,Z)=>Z);for(let w=0;w<a;w++){let Z=f[w-1];if(this.at(Z,w)===0){let $e;for($e=w+1;$e<a;$e++)if(this.at(f[$e],w)!==0){Z=f[$e],f[$e-1]=f[w-1],f[w-1]=Z;break}if($e===a)return}let Ce=this.at(Z,w),ne=w===0?1:this.at(f[w-2],w-2);for(let $e=w+1;$e<a;$e++){let Ie=f[$e-1];for(let Dt=w+1;Dt<a*2;Dt++)g[Ie][Dt]=l(g[Ie][Dt],u(s(u(g[Ie][w],g[Z][Dt]),Ce),ne))}}for(let w=a-1;w>=0;w--){let Z=g[f[w],w];for(let Ce=0;Ce<w;Ce++){let ne=f[Ce];for(let $e=a;$e<a*2;$e++)g[ne][$e]=l(g[ne][$e],u(s(u(g[ne][w],g[w][$e]),Z),Z))}for(let Ce=a;Ce<a*2;Ce++)g[w][Ce]=s(g[w][Ce],Z)}let x=g.map(w=>w.slice(a));return hn$1(this.ce,{dtype:this.dtype,shape:[r,r],data:x})}pseudoInverse(){}adjugateMatrix(){}minor(t,r){}map1(t,r){return hn$1(this.ce,{dtype:this.dtype,shape:this.shape,data:this.data.map(a=>t(a,r))})}map2(t,r){let a=r.data;return hn$1(this.ce,{dtype:this.dtype,shape:this.shape,data:this.data.map((s,l)=>t(s,a[l]))})}add(t){return V1.broadcast(this.field.add.bind(this.field),this,t)}subtract(t){return V1.broadcast(this.field.sub.bind(this.field),this,t)}multiply(t){return V1.broadcast(this.field.mul.bind(this.field),this,t)}divide(t){return V1.broadcast(this.field.div.bind(this.field),this,t)}power(t){return V1.broadcast(this.field.pow.bind(this.field),this,t)}equals(t){if(this.rank!==t.rank||!this.shape.every((l,u)=>l===t.shape[u]))return!1;let r=this.field.equals.bind(this.field),a=this.field.cast.bind(this.field),s=this.dtype;return this.dtype!==t.dtype?!!this.data.every((l,u)=>r(l,a(t.data[u],s))):this.data.every((l,u)=>r(l,t.data[u]))}};function gd$1(n){let t=new Array(n.length);for(let r=n.length-1,a=1;r>=0;r--)t[r]=a,a*=n[r];return t}var Qo=class extends Zn{constructor(n,t){super(n,t),this.dtype="float64",this.data=t.data}get isZero(){return this.data.every(n=>n===0)}},Xo=class extends Zn{constructor(n,t){super(n,t),this.dtype="complex128",this.data=t.data}},Ko=class extends Zn{constructor(n,t){super(n,t),this.dtype="bool",this.data=t.data}},es=class extends Zn{constructor(n,t){super(n,t),this.dtype="expression",this.data=t.data}};function hn$1(n,t){let r=t.dtype;return r==="float64"||r==="float32"||r==="uint8"||r==="int32"?new Qo(n,t):r==="bool"?new Ko(n,t):r==="complex64"||r==="complex128"?new Xo(n,t):new es(n,t)}var vt=class Em extends L{constructor(t,r,a){a??(a={}),a.canonical??(a.canonical=!0),super(t,a.metadata),r instanceof Zn?this._tensor=r:(this._head=r.head??"List",this._ops=a.canonical?t.canonical(r.ops):r.ops,this._expression=new be$1(t,this._head,this._ops,{canonical:a.canonical})),t._register(this)}get expression(){return this._expression??(this._expression=this._tensor.expression),this._expression}get tensor(){if(this._tensor===void 0){this._head,this._ops;let t=xd$1(this._head,this._ops);if(t===void 0)throw new Error("Invalid tensor");this._tensor=hn$1(this.engine,t)}return this._tensor}get baseDefinition(){return this.expression.baseDefinition}get functionDefinition(){return this.expression.functionDefinition}bind(){this.expression.bind()}reset(){}get hash(){return xe("BoxedTensor")}get canonical(){return this.isCanonical?this:new Em(this.engine,{head:this._head,ops:this._ops},{canonical:!0})}get isCanonical(){return this._tensor?!0:this._expression.isCanonical}set isCanonical(t){this._tensor||(this.expression.isCanonical=t)}get isPure(){return this._tensor?!0:this.expression.isPure}get isValid(){return this._tensor?!0:this.expression.isValid}get complexity(){return 97}get head(){return this._tensor?"List":this._head}get nops(){return this._tensor?this._tensor.shape[0]:this.expression.nops}get ops(){return this.expression.ops}get op1(){if(this._tensor){let t=this._tensor.data;return t.length===0?this.engine.Nothing:this.engine.box(t[0])}return this.expression.op1}get op2(){if(this._tensor){let t=this._tensor.data;return t.length<2?this.engine.Nothing:this.engine.box(t[1])}return this.expression.op2}get op3(){if(this._tensor){let t=this._tensor.data;return t.length<3?this.engine.Nothing:this.engine.box(t[2])}return this.expression.op3}get shape(){return this.tensor.shape}get rank(){return this.tensor.rank}get domain(){return this._tensor?this.engine.domain("Lists"):this.expression.domain}get json(){return this.expression.json}get rawJson(){return this.expression.rawJson}isSame(t){return this===t?!0:t instanceof Em?this.tensor.equals(t.tensor):this.expression.isSame(t)}isEqual(t){return this===t?!0:t instanceof Em?this.tensor.equals(t.tensor):this.expression.isEqual(t)}match(t,r){return this.expression.match(t,r)}evaluate(t){return this._tensor?this:this.expression.evaluate(t)}simplify(t){return this._tensor?this:this.expression.simplify(t)}N(t){return this._tensor?this:this.expression.N(t)}};function Le$1(n){return n instanceof vt}function ns$1(n,t){let r,a=[],s=!0,l=(u,_=0)=>{if(u.length!==0){u.length>1&&a[_]!==void 0?s=s&&a[_]===u.length:a[_]=Math.max(a[_]??0,u.length);for(let m of u)if(m.head===n?l(m.ops,_+1):r===void 0?r=Yo$1(m):r=vr$1(r,Yo$1(m)),!s)return}};if(l(t),!!s)return{shape:a,dtype:r}}function xd$1(n,t){let{shape:r,dtype:a}=ns$1(n,t)??{shape:[],dtype:void 0};if(a===void 0)return;let s=!0,l=[],u=Er(t[0].engine,"expression"),_=u.cast.bind(u),m=g=>{for(let f of g)if(f.head===n)m(f.ops);else{let x=_(f,a);if(x===void 0){s=!1;return}l.push(x)}};if(m(t),!!s)return{shape:r,data:l,dtype:a}}function Nt$1(n){return n[Math.floor(Math.random()*n.length)]}function Nu(n,t){if(n==="Add"||n==="Multiply"){let r=[],a=1+Math.floor(Math.random()*12);for(;a>0;)r.push(gn$1(t+1)),a-=1;return[n,...r]}return n==="Divide"||n==="Power"?[n,gn$1(t+1),gn$1(t+1)]:n==="Root"?[n,gn$1(t+1),gn$1(10)]:n==="trig"?bd$1():[n,gn$1(t+1)]}function bd$1(){return[Nt$1(["Cos","Sin","Tan","Sinh","Arccos","Arsinh"]),Nt$1(["Pi","-1","0","1",["Divide","Pi",-5],["Multiply",-2,["Divide","Pi",11]],["Multiply","Half","Pi"],["Multiply",5,"Pi"],["Multiply",12,"Pi"],["Divide","Pi",5],["Divide","Pi",9],["Multiply",5,["Divide","Pi",9]],["Multiply",2,["Divide","Pi",11]],["Multiply",2,["Divide","Pi",3]]])]}function gn$1(n){if(n??(n=1),n===1){let t=Nt$1([["Sqrt",["Multiply",6,["Sum",["Divide",1,["Power","n",2]],["Triple",["Hold","n"],1,{num:"+Infinity"}]]]],"Add","Add","Add","Add","Add","Multiply","Multiply","Multiply","Multiply","Divide","Divide","Divide","Root","Sqrt","Subtract","Negate","trig"]);return typeof t=="string"?Nu(t,1):t}if(n===2){let t=Math.random();if(t>.75)return gn$1(1);if(t>.5)return gn$1(3);let r=Nt$1(["Multiply","Multiply","Add","Power","trig","Ln","Exp"]);return Nu(r,2)}return 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a=t[0].head==="Vector"?t[0].canonical.ops[0]:t[0].canonical,s=(u=t[1])==null?void 0:u.canonical,l=(_=t[2])==null?void 0:_.canonical;return t.length>3?n._fn(r,Se$1(n,t,3)):l?n._fn(r,[a,s,l]):s?n._fn(r,[a,s]):n._fn(r,[a])}var Zu$1={True:{wikidata:"Q16751793",domain:"Booleans",constant:!0},False:{wikidata:"Q5432619",domain:"Booleans",constant:!0},And:{wikidata:"Q191081",threadable:!0,associative:!0,commutative:!0,idempotent:!0,complexity:1e4,signature:{domain:"LogicOperators",simplify:$u,evaluate:$u}},Or:{wikidata:"Q1651704",threadable:!0,associative:!0,commutative:!0,idempotent:!0,complexity:1e4,signature:{domain:"LogicOperators",simplify:zu$1,evaluate:zu$1}},Not:{wikidata:"Q190558",threadable:!0,involution:!0,complexity:10100,signature:{domain:"LogicOperators",simplify:Uu$1,evaluate:Uu$1}},Equivalent:{wikidata:"Q220433",threadable:!0,complexity:10200,signature:{domain:"LogicOperators",canonical:(n,t)=>{let r=t[0].symbol,a=t[1].symbol;return 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r.length===0?n.True:r.length===1?r[0]:n._fn("Or",r)}function Uu$1(n,t){var a;let r=(a=t[0])==null?void 0:a.symbol;if(r==="True")return n.False;if(r==="False")return n.True}function Gu$1(n,t){let r=t[0].symbol,a=t[1].symbol;if(r==="True"&&a==="True"||r==="False"&&a==="False")return n.True;if(r==="True"&&a==="False"||r==="False"&&a==="True")return n.False}function ju$1(n,t){let r=t[0].symbol,a=t[1].symbol;if(r==="True"&&a==="True"||r==="False"&&a==="False"||r==="False"&&a==="True")return n.True;if(r==="True"&&a==="False")return n.False}var Hu=[{Expand:{description:"Expand out products and positive integer powers",signature:{domain:["FunctionOf","Values","Values"],evaluate:(n,t)=>rn(t[0])??t[0]}},ExpandAll:{description:"Recursively expand out products and positive integer powers",signature:{domain:["FunctionOf","Values","Values"],evaluate:(n,t)=>Co(t[0])??t[0]}},Factor:{description:"Factors an algebraic expression into a product of irreducible 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R(a,u=>Math.log((1+Math.sqrt(1-u*u))/u),u=>n._BIGNUM_ONE.sub(u.mul(u).add(n._BIGNUM_ONE).div(u)).log(),u=>n.complex(1).sub(u.mul(u)).add(1).div(u).log());case"Arsinh":return R(a,Math.asinh,u=>u.asinh(),u=>u.asinh());case"Arctan":return R(a,Math.atan,u=>u.atan(),u=>u.atan());case"Artanh":return R(a,Math.atanh,u=>u.atanh(),u=>u.atanh());case"Cos":return R(a,Math.cos,u=>u.toSignificantDigits(n.precision+4).cos().toSignificantDigits(n.precision),u=>u.cos());case"Cosh":return R(a,Math.cosh,u=>u.cosh(),u=>u.cosh());case"Cot":return R(a,u=>1/Math.tan(u),u=>n._BIGNUM_ONE.div(u.tan()),u=>u.tan().inverse());case"Coth":return R(a,u=>1/Math.tanh(u),u=>n._BIGNUM_ONE.div(u.tanh()),u=>u.tanh().inverse());case"Csc":return R(a,u=>1/Math.sin(u),u=>n._BIGNUM_ONE.div(u.sin()),u=>u.sin().inverse());case"Csch":return R(a,u=>1/Math.sinh(u),u=>n._BIGNUM_ONE.div(u.sinh()),u=>u.sinh().inverse());case"Sec":return R(a,u=>1/Math.cos(u),u=>n._BIGNUM_ONE.div(u.cos()),u=>u.cos().inverse());case"Sech":return R(a,u=>1/Math.cosh(u),u=>n._BIGNUM_ONE.div(u.cosh()),u=>u.cosh().inverse());case"Sin":return R(a,Math.sin,u=>u.toSignificantDigits(n.precision+4).sin().toSignificantDigits(n.precision),u=>u.sin());case"Sinh":return R(a,Math.sinh,u=>u.sinh(),u=>u.sinh());case"Tan":return R(a,Math.tan,u=>u.toSignificantDigits(n.precision+4).tan().toSignificantDigits(n.precision),u=>u.tan());case"Tanh":return R(a,Math.tanh,u=>u.tanh(),u=>u.tanh())}}var Xu$1=pe(ce$1(),1),de$1=class{constructor(t,r,a){if(!t.context)throw Error("No context available");this.name=r,this.wikidata=a.wikidata,this.description=a.description,this.url=a.url,this._engine=t,this.scope=t.context,this.name=r,this._flags=a.flags?St$1(a.flags):void 0,this._domain=a.domain?t.domain(a.domain):void 0,this.inferredDomain=a.inferred??!1,this.constant=a.constant??!1,this.holdUntil=a.holdUntil??"evaluate",this.constant?(this._defValue=a.value,this._value=null):(a.value!==void 0?Ti(a.value)?this._value=t.parse(a.value)??t.symbol("Undefined"):typeof a.value=="function"?this._value=t.box(a.value(t)??"Undefined"):a.value instanceof L?this._value=a.value:this._value=t.box(a.value):this._value=void 0,!this._value&&this._domain&&!a.flags&&(this._flags=Mr(this._domain))),this._value&&!this._domain&&(this._domain=this._value.domain,this.inferredDomain=!0)}update(t){t.wikidata&&(this.wikidata=t.wikidata),t.description&&(this.description=t.description),t.url&&(this.url=t.url);let r=t==null?void 0:t.flags,a=t!=null&&t.domain?this._engine.domain(t.domain):void 0;a&&(r={...Mr(a),...r??{}}),r&&(this._flags=St$1(r)),a&&(this._domain=a,this.inferredDomain=!1),t.holdUntil&&(this.holdUntil=t.holdUntil),t.constant?(this.constant=t.constant,this._defValue=t.value,this._value=null):t.value&&(Ti(t.value)?this._value=this._engine.parse(t.value)??this._engine.symbol("Undefined"):typeof t.value=="function"?this._value=this._engine.box(t.value(this._engine)??"Undefined"):t.value instanceof L?this._value=t.value:this._value=this._engine.box(t.value)),this._value&&!this._domain&&(this._domain=this._value.domain,this.inferredDomain=!0)}reset(){this.constant&&(this._value=null)}get value(){var t;if(this._value===null){let r=this._engine;if(Ti(this._defValue)?this._value=r.parse(this._defValue)??r.symbol("Undefined"):typeof this._defValue=="function"?this._value=r.box(this._defValue(r)??"Undefined"):this._defValue?this._value=r.box(this._defValue):this._value=void 0,(t=this._value)==null?void 0:t.numericValue){let a=this._value.numericValue;!F$1(r)&&a instanceof v?this._value=r.number(a.toNumber()):!ae(r)&&a instanceof Xu$1.Complex&&(this._value=r.NaN)}}return this._value??void 0}set value(t){var r;if(this.constant)throw new Error(`The value of the constant "${this.name}" cannot be changed`);if(this._defValue,typeof t=="number")this._value=this._engine.number(t);else if(t){let a=this._engine.box(t);this.inferredDomain?(this._value=a,this._domain=Un$1(this._domain,a.domain)):!this._domain||!a.domain||(r=a.domain)!=null&&r.isCompatible(this._domain)?this._value=a:this._value=void 0}else this._value=void 0;this._value!==void 0?this._flags=void 0:this._flags=Mr(this._domain)}get domain(){return this._domain??void 0}set domain(t){var r;if(this.constant)throw new Error(`The domain of the constant "${this.name}" cannot be changed`);if(!this.inferredDomain)throw Error(`The domain of "${this.name}" cannot be changed because it has already been declared`);if(!t){this._defValue=void 0,this._value=void 0,this._flags=void 0,this._domain=void 0;return}if(t=this._engine.domain(t),this._domain&&!t.isCompatible(this._domain))throw Error(`The domain of "${this.name}" cannot be widened from "${this._domain.base}" to "${t.base}"`);if((r=this._value)!=null&&r.domain&&!this._value.domain.isCompatible(t))throw Error(`The domain of "${this.name}" cannot be changed to "${t.base}" because its value has a domain of "${this._value.domain.base}"`);this._domain=t,this._flags=void 0,this._value===void 0&&t.isNumeric&&(this._flags=Mr(t))}get number(){var t,r;return((t=this.value)==null?void 0:t.isNumber)??((r=this._flags)==null?void 0:r.number)}set number(t){this.updateFlags({number:t})}get integer(){var t,r;return((t=this.value)==null?void 0:t.isInteger)??((r=this._flags)==null?void 0:r.integer)}set integer(t){this.updateFlags({integer:t})}get rational(){var t,r;return((t=this.value)==null?void 0:t.isRational)??((r=this._flags)==null?void 0:r.rational)}set rational(t){this.updateFlags({rational:t})}get algebraic(){var t,r;return((t=this.value)==null?void 0:t.isAlgebraic)??((r=this._flags)==null?void 0:r.algebraic)}set algebraic(t){this.updateFlags({algebraic:t})}get real(){var t,r;return((t=this.value)==null?void 0:t.isReal)??((r=this._flags)==null?void 0:r.real)}set real(t){this.updateFlags({real:t})}get extendedReal(){var t,r;return((t=this.value)==null?void 0:t.isExtendedReal)??((r=this._flags)==null?void 0:r.extendedReal)}set extendedReal(t){this.updateFlags({extendedReal:t})}get complex(){var t,r;return((t=this.value)==null?void 0:t.isComplex)??((r=this._flags)==null?void 0:r.complex)}set complex(t){this.updateFlags({complex:t})}get extendedComplex(){var t,r;return((t=this.value)==null?void 0:t.isExtendedComplex)??((r=this._flags)==null?void 0:r.extendedComplex)}set extendedComplex(t){this.updateFlags({extendedComplex:t})}get imaginary(){var t,r;return((t=this.value)==null?void 0:t.isImaginary)??((r=this._flags)==null?void 0:r.imaginary)}set imaginary(t){this.updateFlags({imaginary:t})}get positive(){var t,r;return((t=this.value)==null?void 0:t.isPositive)??((r=this._flags)==null?void 0:r.positive)}set positive(t){this.updateFlags({positive:t})}get nonPositive(){var t,r;return((t=this.value)==null?void 0:t.isNonPositive)??((r=this._flags)==null?void 0:r.nonPositive)}set nonPositive(t){this.updateFlags({nonPositive:t})}get negative(){var t,r;return((t=this.value)==null?void 0:t.isNegative)??((r=this._flags)==null?void 0:r.negative)}set negative(t){this.updateFlags({negative:t})}get nonNegative(){var t,r;return((t=this.value)==null?void 0:t.isNonNegative)??((r=this._flags)==null?void 0:r.nonNegative)}set nonNegative(t){this.updateFlags({nonNegative:t})}get zero(){var t,r;return((t=this.value)==null?void 0:t.isZero)??((r=this._flags)==null?void 0:r.zero)}set zero(t){this.updateFlags({zero:t})}get notZero(){var t,r;return((t=this.value)==null?void 0:t.isNotZero)??((r=this._flags)==null?void 0:r.notZero)}set notZero(t){this.updateFlags({notZero:t})}get one(){var t,r;return((t=this.value)==null?void 0:t.isOne)??((r=this._flags)==null?void 0:r.one)}set one(t){this.updateFlags({one:t})}get negativeOne(){var t,r;return((t=this.value)==null?void 0:t.isNegativeOne)??((r=this._flags)==null?void 0:r.negativeOne)}set negativeOne(t){this.updateFlags({negativeOne:t})}get infinity(){var t,r;return((t=this.value)==null?void 0:t.isInfinity)??((r=this._flags)==null?void 0:r.infinity)}set infinity(t){this.updateFlags({infinity:t})}get finite(){var t,r;return((t=this.value)==null?void 0:t.isFinite)??((r=this._flags)==null?void 0:r.finite)}set finite(t){this.updateFlags({finite:t})}get NaN(){var t,r;return((t=this.value)==null?void 0:t.isNaN)??((r=this._flags)==null?void 0:r.NaN)}set NaN(t){this.updateFlags({NaN:t})}get even(){var t,r;return((t=this.value)==null?void 0:t.isEven)??((r=this._flags)==null?void 0:r.even)}set even(t){this.updateFlags({even:t})}get odd(){var t,r;return((t=this.value)==null?void 0:t.isOdd)??((r=this._flags)==null?void 0:r.odd)}set odd(t){this.updateFlags({odd:t})}get prime(){var r;let t=this._value;return t?!t.isInteger||t.isNonPositive?!1:jn$1(E(t)??NaN):(r=this._flags)==null?void 0:r.prime}set prime(t){this.updateFlags({prime:t})}get composite(){var r;let t=this._value;return t?!t.isInteger||t.isNonPositive?!1:!jn$1(E(t)??NaN):(r=this._flags)==null?void 0:r.composite}set composite(t){this.updateFlags({composite:t})}updateFlags(t){var s;if(this.constant)throw Error("The flags of constant cannot be changed");if(((s=this.domain)==null?void 0:s.isNumeric)===!1)throw Error("Flags only apply to numeric domains");let r=0,a=!0;for(let l in Object.keys(t))if(r+=1,this._value&&t[l]!==void 0)switch(l){case"number":a=this._value.isNumber===t.number;break;case"integer":a=this._value.isInteger===t.integer;break;case"rational":a=this._value.isRational===t.rational;break;case"algebraic":a=this._value.isAlgebraic===t.algebraic;break;case"real":a=this._value.isReal===t.real;break;case"extendedReal":a=this._value.isExtendedReal===t.extendedReal;break;case"complex":a=this._value.isComplex===t.complex;break;case"extendedComplex":a=this._value.isExtendedComplex===t.extendedComplex;break;case"imaginary":a=this._value.isImaginary===t.imaginary;break;case"positive":a=this._value.isPositive===t.positive;break;case"nonPositive":a=this._value.isNonPositive===t.nonPositive;break;case"negative":a=this._value.isNegative===t.negative;break;case"nonNegative":a=this._value.isNonNegative===t.nonNegative;break;case"zero":a=this._value.isZero===t.zero;break;case"notZero":a=this._value.isNotZero===t.notZero;break;case"one":a=this._value.isOne===t.one;break;case"negativeOne":a=this._value.isNegativeOne===t.negativeOne;break;case"infinity":a=this._value.isInfinity===t.infinity;break;case"NaN":a=this._value.isNaN===t.NaN;break;case"finite":a=this._value.isFinite===t.finite;break;case"even":a=this._value.isEven===t.even;break;case"odd":a=this._value.isOdd===t.odd;break;case"prime":a=this._value.isPrime===t.prime;break;case"composite":a=this._value.isComposite===t.composite;break}r>0&&(a||(this._defValue=void 0,this._value=void 0),this._domain=this._engine.Numbers,this._flags?this._flags={...this._flags,...St$1(t)}:this._flags=St$1(t))}};function Od$1(n){return Object.fromEntries(Object.entries(n).filter(([t,r])=>r!==void 0))}function St$1(n){let t={...n};return(n.zero||n.one||n.negativeOne)&&(t.zero=n.zero&&!n.one&&!n.negativeOne,t.notZero=!n.zero||n.one||n.negativeOne,t.one=n.one&&!n.zero&&!n.negativeOne,t.negativeOne=n.negativeOne&&!n.zero&&!n.one,t.infinity=!1,t.NaN=!1,t.finite=!0,t.integer=!0,t.finite=!0,t.infinity=!1,t.NaN=!1,t.even=n.one,t.odd=!n.one,t.prime=!1,t.composite=!1),t.zero&&(t.positive=!1,t.negative=!1,t.nonPositive=!0,t.nonNegative=!0),t.notZero===!0&&(t.imaginary||(t.real=!0),t.zero=!1),t.one&&(t.positive=!0),t.negativeOne&&(t.nonPositive=!0),(t.positive||t.nonNegative)&&(t.negativeOne=!1),t.positive?(t.nonPositive=!1,t.negative=!1,t.nonNegative=!0):t.nonPositive?(t.positive=!1,t.negative=t.notZero,t.nonNegative=!t.zero):t.negative?(t.positive=!1,t.nonPositive=t.notZero,t.nonNegative=!1):t.nonNegative&&(t.positive=t.notZero,t.nonPositive=!t.zero,t.negative=!1),(t.positive||t.negative||t.nonPositive||t.nonNegative)&&(t.number=!0,t.finite?t.real=!0:t.finite||(t.complex=!0),t.imaginary=!1),t.finite&&(t.number=!0,t.complex=!0,t.infinity=!1,t.NaN=!1),t.infinity&&(t.finite=!1,t.NaN=!1),t.infinity===!1&&(t.extendedComplex=!1,t.extendedReal=!1),n.even&&(t.odd=!1),n.odd&&(t.even=!1),t.integer&&(t.rational=!0),t.rational&&(t.algebraic=!0),t.algebraic&&(t.real=!0),t.real&&(t.complex=!0),t.imaginary&&(t.complex=!0),t.complex&&(t.number=!0),t.real&&t.infinity!==!1&&(t.extendedReal=!0),t.complex&&t.infinity!==!1&&(t.extendedComplex=!0),(t.even||t.infinity||t.NaN||t.negative||t.imaginary||t.integer===!1)&&(t.prime=!1),t.number&&t.prime&&(t.composite=!1),t}function Mr(n){if(!n)return{};let t={};if(!n.isNumeric)return t.number=!1,t.integer=!1,t.rational=!1,t.algebraic=!1,t.real=!1,t.extendedReal=!1,t.complex=!1,t.extendedComplex=!1,t.imaginary=!1,t.positive=!1,t.nonPositive=!1,t.negative=!1,t.nonNegative=!1,t.zero=!1,t.notZero=!1,t.one=!1,t.negativeOne=!1,t.infinity=!1,t.NaN=!1,t.odd=!1,t.even=!1,t.prime=!1,t.composite=!1,t;let r=n.base;return t.number=!0,r==="Integers"&&(t.integer=!0),r==="RationalNumbers"&&(t.rational=!0),r==="AlgebraicNumbers"&&(t.algebraic=!0),r==="TranscendentalNumbers"&&(t.algebraic=!1,t.real=!0),r==="ExtendedRealNumbers"&&(t.extendedReal=!0),r==="RealNumbers"&&(t.real=!0),r==="ImaginaryNumbers"&&(t.imaginary=!0),r==="ExtendedComplexNumbers"&&(t.extendedComplex=!0),r==="ComplexNumbers"&&(t.complex=!0),r==="PositiveNumbers"&&(t.notZero=!0,t.real=!0,t.positive=!0),r==="NegativeNumbers"&&(t.notZero=!0,t.real=!0,t.negative=!0),r==="NonNegativeNumbers"&&(t.real=!0,t.positive=!0),r==="NonPositiveNumbers"&&(t.real=!0,t.negative=!0),r==="PositiveIntegers"&&(t.notZero=!0,t.integer=!0,t.positive=!0),r==="NegativeNumbers"&&(t.notZero=!0,t.integer=!0,t.negative=!0),r==="NonNegativeNumbers"&&(t.integer=!0,t.positive=!0),r==="NonPositiveNumbers"&&(t.integer=!0,t.negative=!0),Od$1(St$1(t))}var Je$1=class{constructor(t,r,a){var u,_;if(!t.context)throw Error("No context 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t;return(t=this.symbolDefinition)==null?void 0:t.notZero}get isOne(){var t;return(t=this.symbolDefinition)==null?void 0:t.one}get isNegativeOne(){var t;return(t=this.symbolDefinition)==null?void 0:t.negativeOne}get isOdd(){var t;return(t=this.symbolDefinition)==null?void 0:t.odd}get isEven(){var t;return(t=this.symbolDefinition)==null?void 0:t.even}get isPrime(){var t;return(t=this.symbolDefinition)==null?void 0:t.prime}get isComposite(){var t;return(t=this.symbolDefinition)==null?void 0:t.composite}get isInfinity(){var t;return(t=this.symbolDefinition)==null?void 0:t.infinity}get isNaN(){var t;return(t=this.symbolDefinition)==null?void 0:t.NaN}get isPositive(){var t;return(t=this.symbolDefinition)==null?void 0:t.positive}get isNonPositive(){var t;return(t=this.symbolDefinition)==null?void 0:t.nonPositive}get isNegative(){var t;return(t=this.symbolDefinition)==null?void 0:t.negative}get isNonNegative(){var t;return(t=this.symbolDefinition)==null?void 0:t.nonNegative}get isNumber(){var t;return(t=this.symbolDefinition)==null?void 0:t.number}get isInteger(){var t;return(t=this.symbolDefinition)==null?void 0:t.integer}get isRational(){var t;return(t=this.symbolDefinition)==null?void 0:t.rational}get isAlgebraic(){var t;return(t=this.symbolDefinition)==null?void 0:t.rational}get isReal(){var t;return(t=this.symbolDefinition)==null?void 0:t.real}get isExtendedReal(){var t;return(t=this.symbolDefinition)==null?void 0:t.extendedReal}get isComplex(){var t;return(t=this.symbolDefinition)==null?void 0:t.complex}get isImaginary(){var t;return(t=this.symbolDefinition)==null?void 0:t.imaginary}simplify(t){let r=this.symbolDefinition;return(r==null?void 0:r.holdUntil)==="simplify"&&r.value?r.value.simplify(t):t!=null&&t.rules?this.replace(t.rules)??this:this}evaluate(t){var a,s;let r=this.symbolDefinition;if(r){if(t!=null&&t.numericMode)return r.holdUntil==="never"?this:((a=r.value)==null?void 0:a.N(t))??this;if(r.holdUntil==="simplify"||r.holdUntil==="evaluate")return((s=r.value)==null?void 0:s.evaluate(t))??this}return this}N(t){var a;let r=this.symbolDefinition;return r&&r.holdUntil==="never"?this:((a=r==null?void 0:r.value)==null?void 0:a.N(t))??this}replace(t,r){return er(this,t,r)}subs(t,r){return t[this._id]===void 0?r!=null&&r.canonical?this.canonical:this:this.engine.box(t[this._id],r)}};function cs(n,t){let r=n.lookupSymbol(t);return(r==null?void 0:r.holdUntil)==="never"&&r.value?r.value:new Wn$1(n,t,{canonical:!0,def:r})}var Tt="\x1B[0m",tl="\x1B[33m",rl="\x1B[36;1m",ms="\x1B[101;97m",Bt=class tg{constructor(t){if(this._cache={},this._commonSymbols={True:null,False:null,All:null,Nothing:null,None:null,Undefined:null,Pi:null,ImaginaryUnit:null,ExponentialE:null},this._commonNumbers={"-5":null,"-4":null,"-3":null,"-2":null,2:null,3:null,4:null,5:null,6:null,7:null,8:null,9:null,10:null,11:null,12:null,36:null},this._commonDomains={Anything:null,Void:null,NothingDomain:null,Booleans:null,Strings:null,Domains:null,Symbols:null,Integers:null,RationalNumbers:null,AlgebraicNumbers:null,RealNumbers:null,ExtendedRealNumbers:null,ImaginaryNumbers:null,ComplexNumbers:null,ExtendedComplexNumbers:null,Numbers:null,PositiveIntegers:null,TranscendentalNumbers:null,PositiveNumbers:null,Functions:null,NumericFunctions:null,RealFunctions:null,LogicOperators:null,Predicates:null},t!==void 0&&typeof t!="object")throw Error("Unexpected argument");this.strict=!0,this._jsonSerializationOptions={exclude:[],shorthands:["function","symbol","string","dictionary","number"],metadata:[],precision:"max",repeatingDecimals:!0},this._useRawJsonSerializationOptions=!1,this._rawJsonSerializationOptions={exclude:[],shorthands:["function","symbol","string","dictionary","number"],metadata:[],precision:"max",repeatingDecimals:!1},this._stats={highwaterMark:0,symbols:new Set,expressions:new Set},this._numericMode=(t==null?void 0:t.numericMode)??"auto",this._precision=Math.max((t==null?void 0:t.numericPrecision)??100,Math.floor(ei$1)),this._bignum=v.clone({precision:this._precision}),this.tolerance=(t==null?void 0:t.tolerance)??nt$1,this.Zero=new le$1(this,0),this.One=new le$1(this,1),this.Half=new le$1(this,[1,2]),this.NegativeOne=new le$1(this,-1),this.NaN=new le$1(this,Number.NaN),this.PositiveInfinity=new le$1(this,Number.POSITIVE_INFINITY),this.NegativeInfinity=new le$1(this,Number.NEGATIVE_INFINITY),this.I=new le$1(this,zi$1.Complex.I),this.ComplexInfinity=new le$1(this,zi$1.Complex.INFINITY),this.reset(),this.context={assumptions:new $i,timeLimit:2,memoryLimit:1,recursionLimit:1024,iterationLimit:Number.POSITIVE_INFINITY};for(let a of tg.getStandardLibrary("domains"))us$1(this,a);for(let a of Object.keys(this._commonDomains))this._commonDomains[a]&&!this._commonDomains[a].symbolDefinition?this._commonDomains[a].bind():this._commonDomains[a]=new Dn$1(this,nr[a]??a);this.Anything=this._commonDomains.Anything,this.Void=this._commonDomains.Void,this.Strings=this._commonDomains.Strings,this.Booleans=this._commonDomains.Booleans,this.Numbers=this._commonDomains.Numbers;let r=(t==null?void 0:t.ids)??tg.getStandardLibrary();for(let a of r)us$1(this,a);for(let a of Object.keys(this._commonSymbols)){let s=new Wn$1(this,a,{canonical:!0});s.bind(),this._commonSymbols[a]=s}this.True=this._commonSymbols.True,this.False=this._commonSymbols.False,this.Pi=this._commonSymbols.Pi,this.E=this._commonSymbols.ExponentialE,this.Nothing=this._commonSymbols.Nothing,this.pushScope()}static getStandardLibrary(t="all"){return as(t)}get latexDictionary(){return this.latexSyntax.dictionary}set latexDictionary(t){this.latexSyntax.dictionary=t}reset(){this._bignum,this._BIGNUM_NEGATIVE_ONE=this.bignum(-1),this._BIGNUM_NAN=this.bignum(NaN),this._BIGNUM_ZERO=this.bignum(0),this._BIGNUM_ONE=this.bignum(1),this._BIGNUM_TWO=this.bignum(2),this._BIGNUM_HALF=this._BIGNUM_ONE.div(this._BIGNUM_TWO),this._BIGNUM_PI=this._BIGNUM_NEGATIVE_ONE.acos();let t=this._stats.symbols.values(),r=this._stats.expressions.values();this._stats.symbols=new Set,this._stats.expressions=new Set;for(let s of t)s.reset();for(let s of r)s.reset();for(let s of Object.values(this._commonDomains))s==null||s.reset();for(let s of Object.values(this._commonSymbols))s==null||s.reset();let a=this.context;for(;a;){if(a.ids)for(let[s,l]of a.ids)l.reset();a=a.parentScope??null}for(let s of Object.keys(this._cache))this._cache[s].value&&(this._cache[s].purge?this._cache[s].value=this._cache[s].purge(this._cache[s].value):delete this._cache[s])}_register(t){this._stats.highwaterMark+=1}_unregister(t){}get stats(){let t=this._stats.expressions;return this._stats.expressions=null,this._stats.expressions=t,{...this._stats}}get precision(){return this._numericMode==="machine"||this._numericMode==="complex"?Math.floor(ei$1):this._precision}set precision(t){var a;t==="machine"&&(t=Math.floor(ei$1));let r=this._precision;if(t!==r){if(typeof t!="number"||t<=0)throw Error('Expected "machine" or a positive number');(a=this._latexSyntax)==null||a.updateOptions({precision:t,avoidExponentsInRange:[-6,t]}),this._precision=Math.max(t,Math.floor(ei$1)),this.jsonSerializationOptions.precision>this._precision&&(this.jsonSerializationOptions={precision:this._precision}),this._numericMode!=="auto"&&this._numericMode!=="bignum"&&this._precision>Math.floor(ei$1)&&(this._numericMode="auto"),this._bignum=this._bignum.config({precision:this._precision}),this.reset()}}get numericMode(){return this._numericMode}set numericMode(t){if(t!==this._numericMode){if(typeof t!="string")throw Error("Expected a string");this._numericMode=t,(t==="complex"||t==="machine")&&(this._precision=Math.floor(ei$1)),this._latexSyntax&&this.latexSyntax.options.precision>this._precision&&this.latexSyntax.updateOptions({precision:this._precision}),this.jsonSerializationOptions.precision>this._precision&&(this.jsonSerializationOptions={precision:this._precision}),this.reset()}}get timeLimit(){let t=this.context;for(;t;){if(t.timeLimit!==void 0)return t.timeLimit;t=t.parentScope??null}return 2}get iterationLimit(){let t=this.context;for(;t;){if(t.iterationLimit!==void 0)return t.iterationLimit;t=t.parentScope??null}return 1024}get recursionLimit(){let t=this.context;for(;t;){if(t.recursionLimit!==void 0)return t.recursionLimit;t=t.parentScope??null}return 1024}get tolerance(){return this._tolerance}set tolerance(t){typeof t=="number"&&Number.isFinite(t)?this._tolerance=Math.max(t,0):this._tolerance=nt$1,this._bignumTolerance=this.bignum(this._tolerance)}chop(t){return typeof t=="number"&&Math.abs(t)<=this._tolerance||t instanceof v&&t.abs().lte(this._bignumTolerance)||t instanceof zi$1.Complex&&Math.abs(t.re)<=this._tolerance&&Math.abs(t.im)<=this._tolerance?0:t}bignum(t){if(typeof t=="bigint")return new this._bignum(t.toString());try{return new this._bignum(t)}catch(r){console.error(r)}return this._BIGNUM_NAN}complex(t,r){return t instanceof v&&(t=t.toNumber()),r instanceof v&&(r=r.toNumber()),new zi$1.Complex(t,r)}isBignum(t){return t instanceof v}isComplex(t){return t instanceof zi$1.Complex}get latexSyntax(){if(!this._latexSyntax){let t=this.precision;this._latexSyntax=new et$1({computeEngine:this,precision:t,avoidExponentsInRange:[-6,t],onError:r=>{throw new Error(JSON.stringify(r[0].message))}})}return this._latexSyntax}static getLatexDictionary(t="all"){return et$1.getDictionary(t)}set costFunction(t){typeof t!="function"&&(this._cost=ds$1),this._cost=t}get costFunction(){return this._cost??ds$1}lookupSymbol(t,r,a){var l,u;if(!this.strict){for(a??(a=this.context??void 0);a;){let _=(l=a.ids)==null?void 0:l.get(t);if(_&&_ instanceof de$1)return _;a=a.parentScope}return}if(typeof t!="string")throw Error("Expected a string");if(t.length===0||!this.context)return;let s=a??this.context;if(r)for(a=s;a;){if(a.ids){for(let[_,m]of a.ids)if(m instanceof de$1&&m.wikidata===r)return m}a=a.parentScope}for(a=s;a;){let _=(u=a.ids)==null?void 0:u.get(t);if(_ instanceof de$1)return _;a=a.parentScope}}lookupFunction(t,r){var a;if(typeof t=="string"&&this.context)for(r??(r=this.context);r;){let s=(a=r.ids)==null?void 0:a.get(t);if(s instanceof Je$1)return s;r=r.parentScope}}defineSymbol(t,r){if(!this.context)throw Error("Symbol cannot be defined: no scope available");if(t.length===0||!Ee(t))throw Error(`Invalid identifier "${t}": ${en(t)}}`);return this._defineSymbol(t,r)}_defineSymbol(t,r){var a;(a=this.context).ids??(a.ids=new Map);let s=new de$1(this,t,r);return s.name&&this.context.ids.set(s.name,s),s}defineFunction(t,r){if(!this.context)throw Error("Function cannot be defined: no scope available");if(t.length===0||!Ee(t))throw Error(`Invalid identifier "${t}": ${en(t)}}`);return this._defineFunction(t,r)}_defineFunction(t,r){var a;(a=this.context).ids??(a.ids=new Map);let s=Ar$1(this,t,r);return s.name&&this.context.ids.set(s.name,s),s}pushScope(t){if(this.context===null)throw Error("No parent scope available");return this.context={timeLimit:this.context.timeLimit,memoryLimit:this.context.memoryLimit,recursionLimit:this.context.recursionLimit,iterationLimit:this.context.iterationLimit,...t??{},parentScope:this.context,assumptions:new $i(this.context.assumptions)},this}popScope(){if(!this.context)throw Error("No scope available");return this.context=this.context.parentScope??null,this.context,this}swapScope(t){let r=this.context;return this.context=t,this.context,r}resetContext(){if(this.context){for(let[t,r]of this.context.ids??[])if(r instanceof de$1)r.constant||(r.value=void 0);else if(r instanceof Je$1){let a=r.signature;r.signature={...a,evaluate:void 0,N:void 0,simplify:void 0,canonical:void 0}}}}_printScope(t,r,a=0){var l,u;if(t??(t={details:!1,maxDepth:1}),r??(r=this.context),!r||t.maxDepth&&a>t.maxDepth)return null;let s=`${tl}[undefined]${Tt}`;if(a===0?console.group("current scope - level 0"):console.groupCollapsed(r.parentScope?`scope - level ${a}`:`root scope - level ${a}`),r.ids){let _=0;for(let[m,g]of r.ids){let f=`${rl}${m}${Tt}`;try{if(g instanceof de$1){let x=(l=g.value)!=null&&l.isValid?g.value.toString():g.value?`${ms}${g.value.toString()}${Tt}`:s;console.info(`${f}: ${((u=g.domain)==null?void 0:u.toString())??s} = ${x}`)}else g instanceof Je$1&&(typeof g.signature.evaluate=="function"?console.info(`${f}(): ${t.details?g.signature.evaluate.toString():"[native-code]"}`):g.signature.evaluate===void 0?console.info(`${f}(): ${s}`):console.info(`${f}(): ${g.toString()}`));_===11&&console.groupCollapsed(`... and ${r.ids.size-_} more`),_+=1}catch(x){console.info(`${f}: ${ms}${x.message}${Tt}`)}}_>=11&&console.groupEnd()}if(r.assumptions){let _=[...r.assumptions.entries()].map(([m,g])=>`${m}: ${g}`);if(_.length>0){console.groupCollapsed(`${_.length} assumptions)`);for(let m of _)console.info(m);console.groupEnd()}}return r.parentScope&&this._printScope(t,r.parentScope,a+1),console.groupEnd(),this.context}declare(t,r){var u,_;if(typeof t!="string"||r===void 0){for(let[m,g]of Object.entries(t))this.declare(m,g);return this}let[a,s]=Go(t);if(s!==void 0)throw Error(`Unexpected arguments with ${t}. Use 'ce.assign()' instead to assign a value, or a use a function definition with 'ce.declare()'.`);if(a==="Nothing")return this;if((_=(u=this.context)==null?void 0:u.ids)!=null&&_.get(a)){let m=this.context.ids.get(a);if(m instanceof de$1&&m.inferredDomain)return Or(r)?m.update(r):(m.domain=this.domain(r),m.inferredDomain=!1),this;throw Error(`Symbol "${a}" has already been declared in the current scope`)}let l=r;if(!l)throw Error(`Expected a definition for ${a}`);if(Or(l))return this.defineSymbol(a,l),this;if(ls(l))return this.defineFunction(a,l),this;{let m=this.domain(l);if(m.isValid)if(m.isFunction)this.defineFunction(a,{signature:st$1(m)});else{if(s)throw Error(`Unexpected arguments with domain for "${a}"`);this.defineSymbol(a,{domain:m})}else throw Error(`Invalid argument for "${a}": use a domain, a FunctionDefinition or a SymbolDefinition`)}return this}assign(t,r){var m,g,f,x;if(typeof t=="object"){for(let[w,Z]of Object.entries(t))this.assign(w,Z);return this}let[a,s]=Go(t);if(a==="Nothing")return this;let l=r;if(typeof l=="boolean"&&(l=l?this.True:this.False),typeof l=="string"){let w=l.trim();w.startsWith("$")&&w.endsWith("$")?l=this.parse(w.slice(1,-1),{canonical:!1}):w.startsWith("$$")&&w.endsWith("$$")?l=this.parse(w.slice(2,-2),{canonical:!1}):l=this.string(l)}let u=this.lookupSymbol(a);if(u){if(u.constant)throw Error(`Cannot assign a value to the constant "${a}"`);if(!u.inferredDomain&&ps(l))throw Error(`Cannot assign a function to symbol "${a}"`);let w=u.scope;if((m=w==null?void 0:w.ids)==null||m.delete(u.name),!s&&!ps(l))return l==null?u.value=void 0:u.value=this.box(l),(g=w==null?void 0:w.ids)==null||g.set(u.name,u),this}let _=this.lookupFunction(a);if(_){let w=_.scope;if((f=w==null?void 0:w.ids)==null||f.delete(_.name),l==null)return this;if(typeof l=="function"){let ne=this.swapScope(w);return this.defineFunction(a,{signature:{evaluate:l}}),this.swapScope(ne),this}if(s&&ps(l))throw Error(`Unexpected arguments for "${a}"`);let Z=s?this.box(["Function",l,...s]):this.box(l),Ce=this.swapScope(w);return this.defineFunction(a,{signature:{evaluate:Z}}),this.swapScope(Ce),this}if(l==null)return this.declare(a,{inferred:!0,domain:this.Anything}),this;if(typeof l=="function")return this.defineFunction(a,{signature:{evaluate:l}}),this;if(l instanceof L&&((x=l.domain)==null?void 0:x.base)==="Functions")return this.defineFunction(a,{signature:{evaluate:l}}),this;if(Array.isArray(l)||l instanceof L||s){let w=this.box(l,{canonical:!1});if(w.head==="Function")return w=this.box(["Function",...w.ops,...(s??[]).map(Ce=>this.symbol(Ce))]),this.defineFunction(a,{signature:{evaluate:w}}),this;let Z=[...w.unknowns].sort();if(Z.length===0){let Ce=w.evaluate();return this.defineSymbol(a,{value:Ce}),this}if(Z.some(Ce=>/\_[\d]+/.test(Ce)))return w=this.box(["Function",w]),this.defineFunction(a,{signature:{evaluate:w}}),this;if(s&&s.length>0)return this.pushScope(),w=this.box(["Function",w,...s]),this.popScope(),this.defineFunction(a,{signature:{evaluate:w}}),this;this.pushScope(),l=w.evaluate(),this.popScope()}return this.defineSymbol(a,{value:l}),this}_assign(t,r){let a=this.lookupSymbol(t);if(a)return a.value=this.box(r).evaluate(),this;let s=this.lookupFunction(t);if(s){let l=s.signature;return s.signature={...l,N:void 0,simplify:void 0,canonical:void 0,evaluate:r},this}return this}get assumptions(){if(!this.context)throw Error("No scope available");return this.context.assumptions?this.context.assumptions:(this.context.assumptions=new $i,this.context.assumptions)}shouldContinueExecution(){return this.deadline===void 0||this.deadline>=Date.now()}checkContinueExecution(){if(!this.shouldContinueExecution())throw new Error("timeout")}cache(t,r,a){var s;if(this._cache[t]===void 0)try{this._cache[t]={build:r,purge:a,value:r()}}catch(l){console.error(`Fatal error building cache "${t}":
	 ${l.toString()}`)}return(s=this._cache[t])==null?void 0:s.value}canonical(t){if(!t.every(a=>a instanceof L))return t.map(a=>this.box(a));let r=t;return r.every(a=>a.isCanonical)?r:r.map(a=>a.canonical)}box(t,r){return we$1(this,t,r)}function(t,r,a){return a??(a={}),"canonical"in a||(a.canonical=!0),_t$1(this,t,r,a)}error(t,r){r instanceof L?r=this.rawJson(r):r&&Array.isArray(r)&&r[0]==="LatexString"&&((r[1]===void 0||!r[1])&&(r=""),typeof r[1]=="object"&&"str"in r[1]&&!r[1].str&&(r=""));let a;return typeof t=="string"&&(a=this.string(t)),!a&&typeof t!="string"&&(a=new be$1(this,"ErrorCode",[this.string(t[0]),...t.slice(1).map(s=>this.box(s,{canonical:!1}))])),r?new be$1(this,"Error",[a,this.box(r,{canonical:!1})],{canonical:!1}):new be$1(this,"Error",[a],{canonical:!1})}domainError(t,r,a){let s=dn$1(t)?this.domain(t):this.symbol(t),l=r||this.symbol("Undefined");return this.error(["incompatible-domain",s,l],a)}hold(t){return this._fn("Hold",[this.box(t,{canonical:!1})])}add(...t){return ht(this,te$1(oe(t),"Add"))}neg(t){return gt(t.canonical)}mul(...t){let r=te$1(oe(t),"Multiply");return yt(this,r)}div(t,r){return xr$1(this,t.canonical,r.canonical)}sqrt(t){return Pi(this,t,"evaluate")??this._fn("Power",[t,this.Half])}pow(t,r){return(typeof r=="number"||U(r))&&(r=this.number(r)),kn(this,t,r)}inv(t){if(t.isOne)return this.One;if(t.isNegativeOne)return this.NegativeOne;if(t.isInfinity)return this.Zero;let r=t.numericValue;if(r!==null)return U(r)?this.number(Tn(r)):typeof r=="number"&&Number.isInteger(r)?this.number([1,r]):r instanceof v&&r.isInteger()?this.number([BigInt(1),P(r)]):this._fn("Divide",[this.One,t]);if(t.head==="Sqrt")return this._fn("Sqrt",[this.inv(t.op1)]);if(t.head==="Divide")return this._fn("Divide",[t.op1,t.op2]);let a=this.NegativeOne;if(t.head==="Power"){if(t.op2.isNegativeOne)return t.op1;a=ge$1(t.op2),t=t.op1}return a.isNegativeOne?this._fn("Divide",[this.One,t]):this._fn("Power",[t,a])}pair(t,r,a){return new be$1(this,"Tuple",[t.canonical,r.canonical],{metadata:a,canonical:!0})}tuple(t,r){return new be$1(this,"Tuple",me(t.map(a=>typeof a=="number"?this.number(a):a.canonical)),{metadata:r,canonical:!0})}array(t,r){return this.Nothing}string(t,r){return new pn$1(this,t,r)}symbol(t,r){var s,l,u;if(r=r?{...r}:{},"canonical"in r||(r.canonical=!0),t=t.normalize(),t==="NaN")return this.NaN;if(t==="Infinity")return this.PositiveInfinity;if(t==="+Infinity")return this.PositiveInfinity;if(t==="-Infinity")return this.NegativeInfinity;if(t==="Half")return this.Half;if(this.strict&&!Ee(t)){let _=(s=r==null?void 0:r.metadata)==null?void 0:s.latex,m=`'${t}'`;return this.error(["invalid-identifier",{str:en(t)}],_?["LatexString",`'${_}'`]:m)}if(((l=r==null?void 0:r.metadata)==null?void 0:l.latex)!==void 0&&!r.canonical)return new Wn$1(this,t,r);let a=this._commonSymbols[t];return a?!((u=r==null?void 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Bundled license information:

complex.js/complex.js:
  (**
   * @license Complex.js v2.1.1 12/05/2020
   *
   * Copyright (c) 2020, Robert Eisele (robert@xarg.org)
   * Dual licensed under the MIT or GPL Version 2 licenses.
   **)

decimal.js/decimal.mjs:
  (*!
   *  decimal.js v10.4.3
   *  An arbitrary-precision Decimal type for JavaScript.
   *  https://github.com/MikeMcl/decimal.js
   *  Copyright (c) 2022 Michael Mclaughlin <M8ch88l@gmail.com>
   *  MIT Licence
   *)
*/const pkg=Object.freeze(Object.defineProperty({__proto__:null,ADDITION_PRECEDENCE:se$1,ARROW_PRECEDENCE:bn$1,ASSIGNMENT_PRECEDENCE:Ui,COMPARISON_PRECEDENCE:A$1,ComputeEngine:Bt,DIVISION_PRECEDENCE:yn$1,EXPONENTIATION_PRECEDENCE:qd$1,MULTIPLICATION_PRECEDENCE:Ye$1,POSTFIX_PRECEDENCE:Vr$1,isEnvironmentEntry:bs,isExpressionEntry:gs,isFunctionEntry:Vd$1,isInfixEntry:$r,isMatchfixEntry:Gi,isPostfixEntry:zr$1,isPrefixEntry:kt$1,isSymbolEntry:xs,version:uy},Symbol.toStringTag,{value:"Module"}));function miseEnEvidence(n,t="#f15929"){return isArray$1(t)&&(t=t[0]),context.isHtml?`{\\color{${t}}\\boldsymbol{${n}}}`:t[0]==="#"?`{\\color[HTML]{${t.replace("#","")}}\\boldsymbol{${n}}}`:`{\\color{${t.replace("#","")}}\\boldsymbol{${n}}}`}function miseEnCouleur(n,t="#f15929"){return isArray$1(t)&&(t=t[0]),context.isHtml?`{\\color{${t}} ${n}}`:t[0]==="#"?`{\\color[HTML]{${t.replace("#","")}} ${n}}`:`{\\color{${t.replace("#","")}} ${n}}`}function texteEnCouleur(n,t="#f15929"){return isArray$1(t)&&(t=t[0]),context.isHtml?`<span style="color:${t};">${n}</span>`:t[0]==="#"?`{\\color[HTML]{${t.replace("#","")}}${n}}`:`{\\color{${t.replace("#","")}}${n}}`}function texteEnCouleurEtGras(n,t="#f15929"){return isArray$1(t)&&(t=t[0]),context.isHtml?`<span style="color:${t};font-weight: bold;">${n}</span>`:t[0]==="#"?`{\\bfseries \\color[HTML]{${t.replace("#","")}}${n}}`:`{\\bfseries \\color{${t.replace("#","")}}${n}}`}function texteGras(n){return context.isHtml?`<b>${n}</b>`:`\\textbf{${n}}`}function blocCode(n){return context.isHtml?`<pre style="background-color: #f0f0f0; border: 1px solid #ccc; border-radius: 4px; padding: 10px; font-family: Courier New, monospace; white-space: pre-wrap;">
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  MathALEA2D
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Angle$1({degres:"-"+n.degres,cos:n.cos,sin:n.sin==="0"?n.sin:opposeStringArray(n.sin),tan:n.tan==="0"?n.tan:"-"+n.tan,radians:"-"+n.radians})}function complementaireRad(n){switch(n){case"\\dfrac{\\pi}{4}":return n;case"\\dfrac{\\pi}{6}":return"\\dfrac{\\pi}{3}";case"\\dfrac{\\pi}{3}":return"\\dfrac{\\pi}{6}";case"\\dfrac{\\pi}{2}":return"0";case"0":return"\\dfrac{\\pi}{2}"}}function supplementaireRad(n){switch(n){case"\\dfrac{\\pi}{4}":return"\\dfrac{3\\pi}{4}";case"\\dfrac{\\pi}{6}":return"\\dfrac{5\\pi}{6}";case"\\dfrac{\\pi}{3}":return"\\dfrac{2\\pi}{3}";case"\\dfrac{\\pi}{2}":return"\\dfrac{\\pi}{2}";case"0":return"\\pi"}}function inverseTan(n){switch(n.tan){case"\\infin":case"-\\infin":return"0";case"1":return"1";case"\\sqrt{3}":return"\\dfrac{\\sqrt{3}}{3}";case"\\dfrac{\\sqrt{3}}{3}":return"\\sqrt{3}"}}function angleComplementaire(n){return new Angle$1({degres:(90-parseInt(n.degres)).toString(),cos:n.sin,sin:n.cos,tan:inverseTan(n),radians:complementaireRad(n.radians)})}function angleSupplementaire(n){return new Angle$1({degres:(180-parseInt(n.degres)).toString(),cos:n.cos==="0"?"0":opposeStringArray(n.cos),sin:n.sin,tan:n.tan==="\\infin"?"\\infin":"-"+n.tan,radians:supplementaireRad(n.radians)})}function opposeStringArray(n){if(Array.isArray(n)){const t=[];for(const r of n)t.push("-"+r);return t}else return"-"+n}let Angle$1=class{constructor({degres:t,cos:r,sin:a,tan:s,radians:l}){this.degres=t;const _=[{degres:"90",cos:"0",sin:"1",tan:"\\infin",radians:"\\dfrac{\\pi}{2}"},{degres:"45",cos:"\\dfrac{\\sqrt{2}}{2}",sin:"\\dfrac{\\sqrt{2}}{2}",tan:"1",radians:"\\dfrac{\\pi}{4}"},{degres:"60",cos:["\\dfrac{1}{2}","0.5"],sin:"\\dfrac{\\sqrt{3}}{2}",tan:"\\sqrt{3}",radians:"\\dfrac{\\pi}{3}"},{degres:"30",sin:["\\dfrac{1}{2}","0.5"],cos:"\\dfrac{\\sqrt{3}}{2}",tan:"\\dfrac{\\sqrt{3}}{3}",radians:"\\dfrac{\\pi}{6}"},{degres:"0",cos:"1",sin:"0",tan:"0",radians:"0"}].find(m=>m.degres===(parseInt(t)%360).toString());_===void 0?(this.cos=r,this.sin=a,this.tan=s,this.radians=l):(this.cos=r||_.cos,this.sin=a||_.sin,this.tan=s||_.tan,this.radians=l||_.radians)}};const anglesDeBase=[new Angle$1({degres:"90",cos:"0",sin:"1",tan:"\\infin",radians:"\\dfrac{\\pi}{2}"}),new Angle$1({degres:"45",cos:"\\dfrac{\\sqrt{2}}{2}",sin:"\\dfrac{\\sqrt{2}}{2}",tan:"1",radians:"\\dfrac{\\pi}{4}"}),new Angle$1({degres:"60",cos:["\\dfrac{1}{2}","0.5"],sin:"\\dfrac{\\sqrt{3}}{2}",tan:"\\sqrt{3}",radians:"\\dfrac{\\pi}{3}"}),new Angle$1({degres:"30",sin:["\\dfrac{1}{2}","0.5"],cos:"\\dfrac{\\sqrt{3}}{2}",tan:"\\dfrac{\\sqrt{3}}{3}",radians:"\\dfrac{\\pi}{6}"}),new Angle$1({degres:"0",cos:"1",sin:"0",tan:"0",radians:"0"})];function moduloDeg(n,t){const r=360/parseInt(n);return n==="0"?(2*t*180).toString():((r*t+1)*parseInt(n)).toString()}function moduloRad(n,t){const r=360/parseInt(n);return n==="0"?`${2*t}\\pi`:`\\dfrac{${r*t+1}\\pi}{${r/2}}`}function angleModulo$1(n,t){return new Angle$1({degres:moduloDeg(n.degres,t),cos:n.cos,sin:n.sin,tan:n.tan,radians:moduloRad(n.degres,t)})}function valeursTrigo({modulos:n=[-1,1]}){let t=anglesDeBase.slice();const r=t.slice(),a=t.length;for(let u=0;u<a;u++)t.push(angleOppose(t[u]),angleComplementaire(t[u]),angleSupplementaire(t[u]));t=[...new Map(t.map(u=>[u.degres,u])).values()];const s=t.slice();for(let u=0;u<a;u++)for(const _ of n)_!==0&&t.push(angleModulo$1(t[u%a],_));const l=t.slice();return{liste1:r,liste2:s,liste3:l}}var earcut$2={exports:{}};earcut$2.exports=earcut;earcut$2.exports.default=earcut;function earcut(n,t,r){r=r||2;var a=t&&t.length,s=a?t[0]*r:n.length,l=linkedList(n,0,s,r,!0),u=[];if(!l||l.next===l.prev)return u;var _,m,g,f,x,w,Z;if(a&&(l=eliminateHoles(n,t,l,r)),n.length>80*r){_=g=n[0],m=f=n[1];for(var Ce=r;Ce<s;Ce+=r)x=n[Ce],w=n[Ce+1],x<_&&(_=x),w<m&&(m=w),x>g&&(g=x),w>f&&(f=w);Z=Math.max(g-_,f-m),Z=Z!==0?32767/Z:0}return earcutLinked(l,u,r,_,m,Z,0),u}function linkedList(n,t,r,a,s){var l,u;if(s===signedArea(n,t,r,a)>0)for(l=t;l<r;l+=a)u=insertNode(l,n[l],n[l+1],u);else for(l=r-a;l>=t;l-=a)u=insertNode(l,n[l],n[l+1],u);return u&&equals(u,u.next)&&(removeNode(u),u=u.next),u}function filterPoints(n,t){if(!n)return n;t||(t=n);var r=n,a;do if(a=!1,!r.steiner&&(equals(r,r.next)||area(r.prev,r,r.next)===0)){if(removeNode(r),r=t=r.prev,r===r.next)break;a=!0}else r=r.next;while(a||r!==t);return t}function earcutLinked(n,t,r,a,s,l,u){if(n){!u&&l&&indexCurve(n,a,s,l);for(var _=n,m,g;n.prev!==n.next;){if(m=n.prev,g=n.next,l?isEarHashed(n,a,s,l):isEar(n)){t.push(m.i/r|0),t.push(n.i/r|0),t.push(g.i/r|0),removeNode(n),n=g.next,_=g.next;continue}if(n=g,n===_){u?u===1?(n=cureLocalIntersections(filterPoints(n),t,r),earcutLinked(n,t,r,a,s,l,2)):u===2&&splitEarcut(n,t,r,a,s,l):earcutLinked(filterPoints(n),t,r,a,s,l,1);break}}}}function isEar(n){var t=n.prev,r=n,a=n.next;if(area(t,r,a)>=0)return!1;for(var s=t.x,l=r.x,u=a.x,_=t.y,m=r.y,g=a.y,f=s<l?s<u?s:u:l<u?l:u,x=_<m?_<g?_:g:m<g?m:g,w=s>l?s>u?s:u:l>u?l:u,Z=_>m?_>g?_:g:m>g?m:g,Ce=a.next;Ce!==t;){if(Ce.x>=f&&Ce.x<=w&&Ce.y>=x&&Ce.y<=Z&&pointInTriangle(s,_,l,m,u,g,Ce.x,Ce.y)&&area(Ce.prev,Ce,Ce.next)>=0)return!1;Ce=Ce.next}return!0}function isEarHashed(n,t,r,a){var s=n.prev,l=n,u=n.next;if(area(s,l,u)>=0)return!1;for(var _=s.x,m=l.x,g=u.x,f=s.y,x=l.y,w=u.y,Z=_<m?_<g?_:g:m<g?m:g,Ce=f<x?f<w?f:w:x<w?x:w,ne=_>m?_>g?_:g:m>g?m:g,$e=f>x?f>w?f:w:x>w?x:w,Ie=zOrder(Z,Ce,t,r,a),Dt=zOrder(ne,$e,t,r,a),Lr=n.prevZ,ec=n.nextZ;Lr&&Lr.z>=Ie&&ec&&ec.z<=Dt;){if(Lr.x>=Z&&Lr.x<=ne&&Lr.y>=Ce&&Lr.y<=$e&&Lr!==s&&Lr!==u&&pointInTriangle(_,f,m,x,g,w,Lr.x,Lr.y)&&area(Lr.prev,Lr,Lr.next)>=0||(Lr=Lr.prevZ,ec.x>=Z&&ec.x<=ne&&ec.y>=Ce&&ec.y<=$e&&ec!==s&&ec!==u&&pointInTriangle(_,f,m,x,g,w,ec.x,ec.y)&&area(ec.prev,ec,ec.next)>=0))return!1;ec=ec.nextZ}for(;Lr&&Lr.z>=Ie;){if(Lr.x>=Z&&Lr.x<=ne&&Lr.y>=Ce&&Lr.y<=$e&&Lr!==s&&Lr!==u&&pointInTriangle(_,f,m,x,g,w,Lr.x,Lr.y)&&area(Lr.prev,Lr,Lr.next)>=0)return!1;Lr=Lr.prevZ}for(;ec&&ec.z<=Dt;){if(ec.x>=Z&&ec.x<=ne&&ec.y>=Ce&&ec.y<=$e&&ec!==s&&ec!==u&&pointInTriangle(_,f,m,x,g,w,ec.x,ec.y)&&area(ec.prev,ec,ec.next)>=0)return!1;ec=ec.nextZ}return!0}function cureLocalIntersections(n,t,r){var a=n;do{var s=a.prev,l=a.next.next;!equals(s,l)&&intersects(s,a,a.next,l)&&locallyInside(s,l)&&locallyInside(l,s)&&(t.push(s.i/r|0),t.push(a.i/r|0),t.push(l.i/r|0),removeNode(a),removeNode(a.next),a=n=l),a=a.next}while(a!==n);return filterPoints(a)}function splitEarcut(n,t,r,a,s,l){var u=n;do{for(var _=u.next.next;_!==u.prev;){if(u.i!==_.i&&isValidDiagonal(u,_)){var m=splitPolygon(u,_);u=filterPoints(u,u.next),m=filterPoints(m,m.next),earcutLinked(u,t,r,a,s,l,0),earcutLinked(m,t,r,a,s,l,0);return}_=_.next}u=u.next}while(u!==n)}function eliminateHoles(n,t,r,a){var s=[],l,u,_,m,g;for(l=0,u=t.length;l<u;l++)_=t[l]*a,m=l<u-1?t[l+1]*a:n.length,g=linkedList(n,_,m,a,!1),g===g.next&&(g.steiner=!0),s.push(getLeftmost(g));for(s.sort(compareX),l=0;l<s.length;l++)r=eliminateHole(s[l],r);return r}function compareX(n,t){return n.x-t.x}function eliminateHole(n,t){var r=findHoleBridge(n,t);if(!r)return t;var a=splitPolygon(r,n);return filterPoints(a,a.next),filterPoints(r,r.next)}function findHoleBridge(n,t){var r=t,a=n.x,s=n.y,l=-1/0,u;do{if(s<=r.y&&s>=r.next.y&&r.next.y!==r.y){var _=r.x+(s-r.y)*(r.next.x-r.x)/(r.next.y-r.y);if(_<=a&&_>l&&(l=_,u=r.x<r.next.x?r:r.next,_===a))return u}r=r.next}while(r!==t);if(!u)return null;var m=u,g=u.x,f=u.y,x=1/0,w;r=u;do a>=r.x&&r.x>=g&&a!==r.x&&pointInTriangle(s<f?a:l,s,g,f,s<f?l:a,s,r.x,r.y)&&(w=Math.abs(s-r.y)/(a-r.x),locallyInside(r,n)&&(w<x||w===x&&(r.x>u.x||r.x===u.x&&sectorContainsSector(u,r)))&&(u=r,x=w)),r=r.next;while(r!==m);return u}function sectorContainsSector(n,t){return area(n.prev,n,t.prev)<0&&area(t.next,n,n.next)<0}function indexCurve(n,t,r,a){var s=n;do s.z===0&&(s.z=zOrder(s.x,s.y,t,r,a)),s.prevZ=s.prev,s.nextZ=s.next,s=s.next;while(s!==n);s.prevZ.nextZ=null,s.prevZ=null,sortLinked(s)}function sortLinked(n){var t,r,a,s,l,u,_,m,g=1;do{for(r=n,n=null,l=null,u=0;r;){for(u++,a=r,_=0,t=0;t<g&&(_++,a=a.nextZ,!!a);t++);for(m=g;_>0||m>0&&a;)_!==0&&(m===0||!a||r.z<=a.z)?(s=r,r=r.nextZ,_--):(s=a,a=a.nextZ,m--),l?l.nextZ=s:n=s,s.prevZ=l,l=s;r=a}l.nextZ=null,g*=2}while(u>1);return n}function zOrder(n,t,r,a,s){return n=(n-r)*s|0,t=(t-a)*s|0,n=(n|n<<8)&16711935,n=(n|n<<4)&252645135,n=(n|n<<2)&858993459,n=(n|n<<1)&1431655765,t=(t|t<<8)&16711935,t=(t|t<<4)&252645135,t=(t|t<<2)&858993459,t=(t|t<<1)&1431655765,n|t<<1}function getLeftmost(n){var t=n,r=n;do(t.x<r.x||t.x===r.x&&t.y<r.y)&&(r=t),t=t.next;while(t!==n);return r}function pointInTriangle(n,t,r,a,s,l,u,_){return(s-u)*(t-_)>=(n-u)*(l-_)&&(n-u)*(a-_)>=(r-u)*(t-_)&&(r-u)*(l-_)>=(s-u)*(a-_)}function isValidDiagonal(n,t){return n.next.i!==t.i&&n.prev.i!==t.i&&!intersectsPolygon(n,t)&&(locallyInside(n,t)&&locallyInside(t,n)&&middleInside(n,t)&&(area(n.prev,n,t.prev)||area(n,t.prev,t))||equals(n,t)&&area(n.prev,n,n.next)>0&&area(t.prev,t,t.next)>0)}function area(n,t,r){return(t.y-n.y)*(r.x-t.x)-(t.x-n.x)*(r.y-t.y)}function equals(n,t){return n.x===t.x&&n.y===t.y}function intersects(n,t,r,a){var s=sign(area(n,t,r)),l=sign(area(n,t,a)),u=sign(area(r,a,n)),_=sign(area(r,a,t));return!!(s!==l&&u!==_||s===0&&onSegment(n,r,t)||l===0&&onSegment(n,a,t)||u===0&&onSegment(r,n,a)||_===0&&onSegment(r,t,a))}function onSegment(n,t,r){return t.x<=Math.max(n.x,r.x)&&t.x>=Math.min(n.x,r.x)&&t.y<=Math.max(n.y,r.y)&&t.y>=Math.min(n.y,r.y)}function sign(n){return n>0?1:n<0?-1:0}function intersectsPolygon(n,t){var r=n;do{if(r.i!==n.i&&r.next.i!==n.i&&r.i!==t.i&&r.next.i!==t.i&&intersects(r,r.next,n,t))return!0;r=r.next}while(r!==n);return!1}function locallyInside(n,t){return area(n.prev,n,n.next)<0?area(n,t,n.next)>=0&&area(n,n.prev,t)>=0:area(n,t,n.prev)<0||area(n,n.next,t)<0}function middleInside(n,t){var r=n,a=!1,s=(n.x+t.x)/2,l=(n.y+t.y)/2;do r.y>l!=r.next.y>l&&r.next.y!==r.y&&s<(r.next.x-r.x)*(l-r.y)/(r.next.y-r.y)+r.x&&(a=!a),r=r.next;while(r!==n);return a}function splitPolygon(n,t){var r=new Node$1(n.i,n.x,n.y),a=new Node$1(t.i,t.x,t.y),s=n.next,l=t.prev;return n.next=t,t.prev=n,r.next=s,s.prev=r,a.next=r,r.prev=a,l.next=a,a.prev=l,a}function insertNode(n,t,r,a){var s=new Node$1(n,t,r);return a?(s.next=a.next,s.prev=a,a.next.prev=s,a.next=s):(s.prev=s,s.next=s),s}function removeNode(n){n.next.prev=n.prev,n.prev.next=n.next,n.prevZ&&(n.prevZ.nextZ=n.nextZ),n.nextZ&&(n.nextZ.prevZ=n.prevZ)}function Node$1(n,t,r){this.i=n,this.x=t,this.y=r,this.prev=null,this.next=null,this.z=0,this.prevZ=null,this.nextZ=null,this.steiner=!1}earcut.deviation=function(n,t,r,a){var s=t&&t.length,l=s?t[0]*r:n.length,u=Math.abs(signedArea(n,0,l,r));if(s)for(var _=0,m=t.length;_<m;_++){var g=t[_]*r,f=_<m-1?t[_+1]*r:n.length;u-=Math.abs(signedArea(n,g,f,r))}var x=0;for(_=0;_<a.length;_+=3){var w=a[_]*r,Z=a[_+1]*r,Ce=a[_+2]*r;x+=Math.abs((n[w]-n[Ce])*(n[Z+1]-n[w+1])-(n[w]-n[Z])*(n[Ce+1]-n[w+1]))}return u===0&&x===0?0:Math.abs((x-u)/u)};function signedArea(n,t,r,a){for(var s=0,l=t,u=r-a;l<r;l+=a)s+=(n[u]-n[l])*(n[l+1]+n[u+1]),u=l;return s}earcut.flatten=function(n){for(var t=n[0][0].length,r={vertices:[],holes:[],dimensions:t},a=0,s=0;s<n.length;s++){for(var l=0;l<n[s].length;l++)for(var u=0;u<t;u++)r.vertices.push(n[s][l][u]);s>0&&(a+=n[s-1].length,r.holes.push(a))}return r};var earcutExports=earcut$2.exports;const earcut$1=getDefaultExportFromCjs(earcutExports);class SourceLocation{constructor(t,r,a){this.lexer=void 0,this.start=void 0,this.end=void 0,this.lexer=t,this.start=r,this.end=a}static range(t,r){return r?!t||!t.loc||!r.loc||t.loc.lexer!==r.loc.lexer?null:new SourceLocation(t.loc.lexer,t.loc.start,r.loc.end):t&&t.loc}}class Token{constructor(t,r){this.text=void 0,this.loc=void 0,this.noexpand=void 0,this.treatAsRelax=void 0,this.text=t,this.loc=r}range(t,r){return new Token(r,SourceLocation.range(this,t))}}class ParseError{constructor(t,r){this.name=void 0,this.position=void 0,this.length=void 0,this.rawMessage=void 0;var a="KaTeX parse error: "+t,s,l,u=r&&r.loc;if(u&&u.start<=u.end){var _=u.lexer.input;s=u.start,l=u.end,s===_.length?a+=" at end of input: ":a+=" at position "+(s+1)+": ";var m=_.slice(s,l).replace(/[^]/g,"$&̲"),g;s>15?g="…"+_.slice(s-15,s):g=_.slice(0,s);var f;l+15<_.length?f=_.slice(l,l+15)+"…":f=_.slice(l),a+=g+m+f}var x=new Error(a);return x.name="ParseError",x.__proto__=ParseError.prototype,x.position=s,s!=null&&l!=null&&(x.length=l-s),x.rawMessage=t,x}}ParseError.prototype.__proto__=Error.prototype;var contains=function n(t,r){return t.indexOf(r)!==-1},deflt=function n(t,r){return t===void 0?r:t},uppercase=/([A-Z])/g,hyphenate=function n(t){return t.replace(uppercase,"-$1").toLowerCase()},ESCAPE_LOOKUP={"&":"&amp;",">":"&gt;","<":"&lt;",'"':"&quot;","'":"&#x27;"},ESCAPE_REGEX=/[&><"']/g;function escape(n){return String(n).replace(ESCAPE_REGEX,t=>ESCAPE_LOOKUP[t])}var getBaseElem=function n(t){return t.type==="ordgroup"||t.type==="color"?t.body.length===1?n(t.body[0]):t:t.type==="font"?n(t.body):t},isCharacterBox=function n(t){var r=getBaseElem(t);return r.type==="mathord"||r.type==="textord"||r.type==="atom"},assert=function n(t){if(!t)throw new Error("Expected non-null, but got "+String(t));return t},protocolFromUrl=function n(t){var r=/^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(t);return r!=null?r[1]:"_relative"},utils$2={contains,deflt,escape,hyphenate,getBaseElem,isCharacterBox,protocolFromUrl},SETTINGS_SCHEMA={displayMode:{type:"boolean",description:"Render math in display mode, which puts the math in display style (so \\int and \\sum are large, for example), and centers the math on the page on its own line.",cli:"-d, --display-mode"},output:{type:{enum:["htmlAndMathml","html","mathml"]},description:"Determines the markup language of the output.",cli:"-F, --format <type>"},leqno:{type:"boolean",description:"Render display math in leqno style (left-justified tags)."},fleqn:{type:"boolean",description:"Render display math flush left."},throwOnError:{type:"boolean",default:!0,cli:"-t, --no-throw-on-error",cliDescription:"Render errors (in the color given by --error-color) instead of throwing a ParseError exception when encountering an error."},errorColor:{type:"string",default:"#cc0000",cli:"-c, --error-color <color>",cliDescription:"A color string given in the format 'rgb' or 'rrggbb' (no #). 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0,Dt);Lr.style.top=makeEm(-l-Z-$e.depth),ne.marginLeft&&(Lr.style.marginLeft=ne.marginLeft),ne.marginRight&&(Lr.style.marginRight=ne.marginRight),f.push(Lr),Z+=$e.height+$e.depth}x=Math.min(x,Z),w=Math.max(w,Z)}var ec=makeSpan$2(["vlist"],f);ec.style.height=makeEm(w);var ys;if(x<0){var tc=makeSpan$2([],[]),nc=makeSpan$2(["vlist"],[tc]);nc.style.height=makeEm(-x);var ac=makeSpan$2(["vlist-s"],[new SymbolNode("​")]);ys=[makeSpan$2(["vlist-r"],[ec,ac]),makeSpan$2(["vlist-r"],[nc])]}else ys=[makeSpan$2(["vlist-r"],[ec])];var sc=makeSpan$2(["vlist-t"],ys);return ys.length===2&&sc.classes.push("vlist-t2"),sc.height=w,sc.depth=-x,sc},makeGlue=(n,t)=>{var r=makeSpan$2(["mspace"],[],t),a=calculateSize(n,t);return r.style.marginRight=makeEm(a),r},retrieveTextFontName=function n(t,r,a){var s="";switch(t){case"amsrm":s="AMS";break;case"textrm":s="Main";break;case"textsf":s="SansSerif";break;case"texttt":s="Typewriter";break;default:s=t}var l;return r==="textbf"&&a==="textit"?l="BoldItalic":r==="textbf"?l="Bold":r==="textit"?l="Italic":l="Regular",s+"-"+l},fontMap={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathit:{variant:"italic",fontName:"Main-Italic"},mathnormal:{variant:"italic",fontName:"Math-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}},svgData={vec:["vec",.471,.714],oiintSize1:["oiintSize1",.957,.499],oiintSize2:["oiintSize2",1.472,.659],oiiintSize1:["oiiintSize1",1.304,.499],oiiintSize2:["oiiintSize2",1.98,.659]},staticSvg=function n(t,r){var[a,s,l]=svgData[t],u=new PathNode(a),_=new SvgNode([u],{width:makeEm(s),height:makeEm(l),style:"width:"+makeEm(s),viewBox:"0 0 "+1e3*s+" "+1e3*l,preserveAspectRatio:"xMinYMin"}),m=makeSvgSpan(["overlay"],[_],r);return m.height=l,m.style.height=makeEm(l),m.style.width=makeEm(s),m},buildCommon={fontMap,makeSymbol,mathsym,makeSpan:makeSpan$2,makeSvgSpan,makeLineSpan,makeAnchor,makeFragment,wrapFragment,makeVList,makeOrd,makeGlue,staticSvg,svgData,tryCombineChars},thinspace={number:3,unit:"mu"},mediumspace={number:4,unit:"mu"},thickspace={number:5,unit:"mu"},spacings={mord:{mop:thinspace,mbin:mediumspace,mrel:thickspace,minner:thinspace},mop:{mord:thinspace,mop:thinspace,mrel:thickspace,minner:thinspace},mbin:{mord:mediumspace,mop:mediumspace,mopen:mediumspace,minner:mediumspace},mrel:{mord:thickspace,mop:thickspace,mopen:thickspace,minner:thickspace},mopen:{},mclose:{mop:thinspace,mbin:mediumspace,mrel:thickspace,minner:thinspace},mpunct:{mord:thinspace,mop:thinspace,mrel:thickspace,mopen:thinspace,mclose:thinspace,mpunct:thinspace,minner:thinspace},minner:{mord:thinspace,mop:thinspace,mbin:mediumspace,mrel:thickspace,mopen:thinspace,mpunct:thinspace,minner:thinspace}},tightSpacings={mord:{mop:thinspace},mop:{mord:thinspace,mop:thinspace},mbin:{},mrel:{},mopen:{},mclose:{mop:thinspace},mpunct:{},minner:{mop:thinspace}},_functions={},_htmlGroupBuilders={},_mathmlGroupBuilders={};function defineFunction(n){for(var{type:t,names:r,props:a,handler:s,htmlBuilder:l,mathmlBuilder:u}=n,_={type:t,numArgs:a.numArgs,argTypes:a.argTypes,allowedInArgument:!!a.allowedInArgument,allowedInText:!!a.allowedInText,allowedInMath:a.allowedInMath===void 0?!0:a.allowedInMath,numOptionalArgs:a.numOptionalArgs||0,infix:!!a.infix,primitive:!!a.primitive,handler:s},m=0;m<r.length;++m)_functions[r[m]]=_;t&&(l&&(_htmlGroupBuilders[t]=l),u&&(_mathmlGroupBuilders[t]=u))}function defineFunctionBuilders(n){var{type:t,htmlBuilder:r,mathmlBuilder:a}=n;defineFunction({type:t,names:[],props:{numArgs:0},handler(){throw new Error("Should never be called.")},htmlBuilder:r,mathmlBuilder:a})}var normalizeArgument=function n(t){return t.type==="ordgroup"&&t.body.length===1?t.body[0]:t},ordargument=function n(t){return t.type==="ordgroup"?t.body:[t]},makeSpan$1=buildCommon.makeSpan,binLeftCanceller=["leftmost","mbin","mopen","mrel","mop","mpunct"],binRightCanceller=["rightmost","mrel","mclose","mpunct"],styleMap$1={display:Style$1.DISPLAY,text:Style$1.TEXT,script:Style$1.SCRIPT,scriptscript:Style$1.SCRIPTSCRIPT},DomEnum={mord:"mord",mop:"mop",mbin:"mbin",mrel:"mrel",mopen:"mopen",mclose:"mclose",mpunct:"mpunct",minner:"minner"},buildExpression$1=function n(t,r,a,s){s===void 0&&(s=[null,null]);for(var l=[],u=0;u<t.length;u++){var _=buildGroup$1(t[u],r);if(_ instanceof DocumentFragment){var m=_.children;l.push(...m)}else l.push(_)}if(buildCommon.tryCombineChars(l),!a)return l;var g=r;if(t.length===1){var f=t[0];f.type==="sizing"?g=r.havingSize(f.size):f.type==="styling"&&(g=r.havingStyle(styleMap$1[f.style]))}var x=makeSpan$1([s[0]||"leftmost"],[],r),w=makeSpan$1([s[1]||"rightmost"],[],r),Z=a==="root";return traverseNonSpaceNodes(l,(Ce,ne)=>{var $e=ne.classes[0],Ie=Ce.classes[0];$e==="mbin"&&utils$2.contains(binRightCanceller,Ie)?ne.classes[0]="mord":Ie==="mbin"&&utils$2.contains(binLeftCanceller,$e)&&(Ce.classes[0]="mord")},{node:x},w,Z),traverseNonSpaceNodes(l,(Ce,ne)=>{var $e=getTypeOfDomTree(ne),Ie=getTypeOfDomTree(Ce),Dt=$e&&Ie?Ce.hasClass("mtight")?tightSpacings[$e][Ie]:spacings[$e][Ie]:null;if(Dt)return buildCommon.makeGlue(Dt,g)},{node:x},w,Z),l},traverseNonSpaceNodes=function n(t,r,a,s,l){s&&t.push(s);for(var u=0;u<t.length;u++){var _=t[u],m=checkPartialGroup(_);if(m){n(m.children,r,a,null,l);continue}var g=!_.hasClass("mspace");if(g){var f=r(_,a.node);f&&(a.insertAfter?a.insertAfter(f):(t.unshift(f),u++))}g?a.node=_:l&&_.hasClass("newline")&&(a.node=makeSpan$1(["leftmost"])),a.insertAfter=(x=>w=>{t.splice(x+1,0,w),u++})(u)}s&&t.pop()},checkPartialGroup=function n(t){return t instanceof DocumentFragment||t instanceof Anchor||t instanceof Span&&t.hasClass("enclosing")?t:null},getOutermostNode=function n(t,r){var a=checkPartialGroup(t);if(a){var s=a.children;if(s.length){if(r==="right")return n(s[s.length-1],"right");if(r==="left")return n(s[0],"left")}}return t},getTypeOfDomTree=function n(t,r){return t?(r&&(t=getOutermostNode(t,r)),DomEnum[t.classes[0]]||null):null},makeNullDelimiter=function n(t,r){var a=["nulldelimiter"].concat(t.baseSizingClasses());return makeSpan$1(r.concat(a))},buildGroup$1=function n(t,r,a){if(!t)return makeSpan$1();if(_htmlGroupBuilders[t.type]){var s=_htmlGroupBuilders[t.type](t,r);if(a&&r.size!==a.size){s=makeSpan$1(r.sizingClasses(a),[s],r);var l=r.sizeMultiplier/a.sizeMultiplier;s.height*=l,s.depth*=l}return s}else throw new ParseError("Got group of unknown type: '"+t.type+"'")};function buildHTMLUnbreakable(n,t){var r=makeSpan$1(["base"],n,t),a=makeSpan$1(["strut"]);return a.style.height=makeEm(r.height+r.depth),r.depth&&(a.style.verticalAlign=makeEm(-r.depth)),r.children.unshift(a),r}function buildHTML(n,t){var r=null;n.length===1&&n[0].type==="tag"&&(r=n[0].tag,n=n[0].body);var a=buildExpression$1(n,t,"root"),s;a.length===2&&a[1].hasClass("tag")&&(s=a.pop());for(var l=[],u=[],_=0;_<a.length;_++)if(u.push(a[_]),a[_].hasClass("mbin")||a[_].hasClass("mrel")||a[_].hasClass("allowbreak")){for(var m=!1;_<a.length-1&&a[_+1].hasClass("mspace")&&!a[_+1].hasClass("newline");)_++,u.push(a[_]),a[_].hasClass("nobreak")&&(m=!0);m||(l.push(buildHTMLUnbreakable(u,t)),u=[])}else a[_].hasClass("newline")&&(u.pop(),u.length>0&&(l.push(buildHTMLUnbreakable(u,t)),u=[]),l.push(a[_]));u.length>0&&l.push(buildHTMLUnbreakable(u,t));var g;r?(g=buildHTMLUnbreakable(buildExpression$1(r,t,!0)),g.classes=["tag"],l.push(g)):s&&l.push(s);var f=makeSpan$1(["katex-html"],l);if(f.setAttribute("aria-hidden","true"),g){var x=g.children[0];x.style.height=makeEm(f.height+f.depth),f.depth&&(x.style.verticalAlign=makeEm(-f.depth))}return f}function newDocumentFragment(n){return new DocumentFragment(n)}class MathNode{constructor(t,r,a){this.type=void 0,this.attributes=void 0,this.children=void 0,this.classes=void 0,this.type=t,this.attributes={},this.children=r||[],this.classes=a||[]}setAttribute(t,r){this.attributes[t]=r}getAttribute(t){return this.attributes[t]}toNode(){var t=document.createElementNS("http://www.w3.org/1998/Math/MathML",this.type);for(var r in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,r)&&t.setAttribute(r,this.attributes[r]);this.classes.length>0&&(t.className=createClass(this.classes));for(var a=0;a<this.children.length;a++)t.appendChild(this.children[a].toNode());return t}toMarkup(){var t="<"+this.type;for(var r in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,r)&&(t+=" "+r+'="',t+=utils$2.escape(this.attributes[r]),t+='"');this.classes.length>0&&(t+=' class ="'+utils$2.escape(createClass(this.classes))+'"'),t+=">";for(var a=0;a<this.children.length;a++)t+=this.children[a].toMarkup();return t+="</"+this.type+">",t}toText(){return this.children.map(t=>t.toText()).join("")}}class TextNode{constructor(t){this.text=void 0,this.text=t}toNode(){return document.createTextNode(this.text)}toMarkup(){return utils$2.escape(this.toText())}toText(){return this.text}}class SpaceNode{constructor(t){this.width=void 0,this.character=void 0,this.width=t,t>=.05555&&t<=.05556?this.character=" ":t>=.1666&&t<=.1667?this.character=" ":t>=.2222&&t<=.2223?this.character=" ":t>=.2777&&t<=.2778?this.character="  ":t>=-.05556&&t<=-.05555?this.character=" ⁣":t>=-.1667&&t<=-.1666?this.character=" ⁣":t>=-.2223&&t<=-.2222?this.character=" ⁣":t>=-.2778&&t<=-.2777?this.character=" ⁣":this.character=null}toNode(){if(this.character)return document.createTextNode(this.character);var t=document.createElementNS("http://www.w3.org/1998/Math/MathML","mspace");return t.setAttribute("width",makeEm(this.width)),t}toMarkup(){return this.character?"<mtext>"+this.character+"</mtext>":'<mspace width="'+makeEm(this.width)+'"/>'}toText(){return this.character?this.character:" "}}var mathMLTree={MathNode,TextNode,SpaceNode,newDocumentFragment},makeText=function n(t,r,a){return symbols[r][t]&&symbols[r][t].replace&&t.charCodeAt(0)!==55349&&!(ligatures.hasOwnProperty(t)&&a&&(a.fontFamily&&a.fontFamily.slice(4,6)==="tt"||a.font&&a.font.slice(4,6)==="tt"))&&(t=symbols[r][t].replace),new mathMLTree.TextNode(t)},makeRow=function n(t){return t.length===1?t[0]:new mathMLTree.MathNode("mrow",t)},getVariant=function n(t,r){if(r.fontFamily==="texttt")return"monospace";if(r.fontFamily==="textsf")return r.fontShape==="textit"&&r.fontWeight==="textbf"?"sans-serif-bold-italic":r.fontShape==="textit"?"sans-serif-italic":r.fontWeight==="textbf"?"bold-sans-serif":"sans-serif";if(r.fontShape==="textit"&&r.fontWeight==="textbf")return"bold-italic";if(r.fontShape==="textit")return"italic";if(r.fontWeight==="textbf")return"bold";var a=r.font;if(!a||a==="mathnormal")return null;var s=t.mode;if(a==="mathit")return"italic";if(a==="boldsymbol")return t.type==="textord"?"bold":"bold-italic";if(a==="mathbf")return"bold";if(a==="mathbb")return"double-struck";if(a==="mathfrak")return"fraktur";if(a==="mathscr"||a==="mathcal")return"script";if(a==="mathsf")return"sans-serif";if(a==="mathtt")return"monospace";var l=t.text;if(utils$2.contains(["\\imath","\\jmath"],l))return null;symbols[s][l]&&symbols[s][l].replace&&(l=symbols[s][l].replace);var u=buildCommon.fontMap[a].fontName;return getCharacterMetrics(l,u,s)?buildCommon.fontMap[a].variant:null},buildExpression=function n(t,r,a){if(t.length===1){var s=buildGroup(t[0],r);return a&&s instanceof MathNode&&s.type==="mo"&&(s.setAttribute("lspace","0em"),s.setAttribute("rspace","0em")),[s]}for(var l=[],u,_=0;_<t.length;_++){var m=buildGroup(t[_],r);if(m instanceof MathNode&&u instanceof MathNode){if(m.type==="mtext"&&u.type==="mtext"&&m.getAttribute("mathvariant")===u.getAttribute("mathvariant")){u.children.push(...m.children);continue}else if(m.type==="mn"&&u.type==="mn"){u.children.push(...m.children);continue}else if(m.type==="mi"&&m.children.length===1&&u.type==="mn"){var g=m.children[0];if(g instanceof TextNode&&g.text==="."){u.children.push(...m.children);continue}}else if(u.type==="mi"&&u.children.length===1){var f=u.children[0];if(f instanceof TextNode&&f.text==="̸"&&(m.type==="mo"||m.type==="mi"||m.type==="mn")){var x=m.children[0];x instanceof TextNode&&x.text.length>0&&(x.text=x.text.slice(0,1)+"̸"+x.text.slice(1),l.pop())}}}l.push(m),u=m}return l},buildExpressionRow=function n(t,r,a){return makeRow(buildExpression(t,r,a))},buildGroup=function n(t,r){if(!t)return new mathMLTree.MathNode("mrow");if(_mathmlGroupBuilders[t.type]){var a=_mathmlGroupBuilders[t.type](t,r);return a}else throw new ParseError("Got group of unknown type: '"+t.type+"'")};function buildMathML(n,t,r,a,s){var l=buildExpression(n,r),u;l.length===1&&l[0]instanceof MathNode&&utils$2.contains(["mrow","mtable"],l[0].type)?u=l[0]:u=new mathMLTree.MathNode("mrow",l);var _=new mathMLTree.MathNode("annotation",[new mathMLTree.TextNode(t)]);_.setAttribute("encoding","application/x-tex");var m=new mathMLTree.MathNode("semantics",[u,_]),g=new mathMLTree.MathNode("math",[m]);g.setAttribute("xmlns","http://www.w3.org/1998/Math/MathML"),a&&g.setAttribute("display","block");var f=s?"katex":"katex-mathml";return buildCommon.makeSpan([f],[g])}var optionsFromSettings=function n(t){return new Options({style:t.displayMode?Style$1.DISPLAY:Style$1.TEXT,maxSize:t.maxSize,minRuleThickness:t.minRuleThickness})},displayWrap=function n(t,r){if(r.displayMode){var a=["katex-display"];r.leqno&&a.push("leqno"),r.fleqn&&a.push("fleqn"),t=buildCommon.makeSpan(a,[t])}return t},buildTree=function n(t,r,a){var s=optionsFromSettings(a),l;if(a.output==="mathml")return buildMathML(t,r,s,a.displayMode,!0);if(a.output==="html"){var u=buildHTML(t,s);l=buildCommon.makeSpan(["katex"],[u])}else{var _=buildMathML(t,r,s,a.displayMode,!1),m=buildHTML(t,s);l=buildCommon.makeSpan(["katex"],[_,m])}return displayWrap(l,a)},buildHTMLTree=function n(t,r,a){var s=optionsFromSettings(a),l=buildHTML(t,s),u=buildCommon.makeSpan(["katex"],[l]);return displayWrap(u,a)},stretchyCodePoint={widehat:"^",widecheck:"ˇ",widetilde:"~",utilde:"~",overleftarrow:"←",underleftarrow:"←",xleftarrow:"←",overrightarrow:"→",underrightarrow:"→",xrightarrow:"→",underbrace:"⏟",overbrace:"⏞",overgroup:"⏠",undergroup:"⏡",overleftrightarrow:"↔",underleftrightarrow:"↔",xleftrightarrow:"↔",Overrightarrow:"⇒",xRightarrow:"⇒",overleftharpoon:"↼",xleftharpoonup:"↼",overrightharpoon:"⇀",xrightharpoonup:"⇀",xLeftarrow:"⇐",xLeftrightarrow:"⇔",xhookleftarrow:"↩",xhookrightarrow:"↪",xmapsto:"↦",xrightharpoondown:"⇁",xleftharpoondown:"↽",xrightleftharpoons:"⇌",xleftrightharpoons:"⇋",xtwoheadleftarrow:"↞",xtwoheadrightarrow:"↠",xlongequal:"=",xtofrom:"⇄",xrightleftarrows:"⇄",xrightequilibrium:"⇌",xleftequilibrium:"⇋","\\cdrightarrow":"→","\\cdleftarrow":"←","\\cdlongequal":"="},mathMLnode=function n(t){var r=new mathMLTree.MathNode("mo",[new mathMLTree.TextNode(stretchyCodePoint[t.replace(/^\\/,"")])]);return r.setAttribute("stretchy","true"),r},katexImagesData={overrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],overleftarrow:[["leftarrow"],.888,522,"xMinYMin"],underrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],underleftarrow:[["leftarrow"],.888,522,"xMinYMin"],xrightarrow:[["rightarrow"],1.469,522,"xMaxYMin"],"\\cdrightarrow":[["rightarrow"],3,522,"xMaxYMin"],xleftarrow:[["leftarrow"],1.469,522,"xMinYMin"],"\\cdleftarrow":[["leftarrow"],3,522,"xMinYMin"],Overrightarrow:[["doublerightarrow"],.888,560,"xMaxYMin"],xRightarrow:[["doublerightarrow"],1.526,560,"xMaxYMin"],xLeftarrow:[["doubleleftarrow"],1.526,560,"xMinYMin"],overleftharpoon:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoonup:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoondown:[["leftharpoondown"],.888,522,"xMinYMin"],overrightharpoon:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoonup:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoondown:[["rightharpoondown"],.888,522,"xMaxYMin"],xlongequal:[["longequal"],.888,334,"xMinYMin"],"\\cdlongequal":[["longequal"],3,334,"xMinYMin"],xtwoheadleftarrow:[["twoheadleftarrow"],.888,334,"xMinYMin"],xtwoheadrightarrow:[["twoheadrightarrow"],.888,334,"xMaxYMin"],overleftrightarrow:[["leftarrow","rightarrow"],.888,522],overbrace:[["leftbrace","midbrace","rightbrace"],1.6,548],underbrace:[["leftbraceunder","midbraceunder","rightbraceunder"],1.6,548],underleftrightarrow:[["leftarrow","rightarrow"],.888,522],xleftrightarrow:[["leftarrow","rightarrow"],1.75,522],xLeftrightarrow:[["doubleleftarrow","doublerightarrow"],1.75,560],xrightleftharpoons:[["leftharpoondownplus","rightharpoonplus"],1.75,716],xleftrightharpoons:[["leftharpoonplus","rightharpoondownplus"],1.75,716],xhookleftarrow:[["leftarrow","righthook"],1.08,522],xhookrightarrow:[["lefthook","rightarrow"],1.08,522],overlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],underlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],overgroup:[["leftgroup","rightgroup"],.888,342],undergroup:[["leftgroupunder","rightgroupunder"],.888,342],xmapsto:[["leftmapsto","rightarrow"],1.5,522],xtofrom:[["leftToFrom","rightToFrom"],1.75,528],xrightleftarrows:[["baraboveleftarrow","rightarrowabovebar"],1.75,901],xrightequilibrium:[["baraboveshortleftharpoon","rightharpoonaboveshortbar"],1.75,716],xleftequilibrium:[["shortbaraboveleftharpoon","shortrightharpoonabovebar"],1.75,716]},groupLength=function n(t){return t.type==="ordgroup"?t.body.length:1},svgSpan=function n(t,r){function a(){var _=4e5,m=t.label.slice(1);if(utils$2.contains(["widehat","widecheck","widetilde","utilde"],m)){var g=t,f=groupLength(g.base),x,w,Z;if(f>5)m==="widehat"||m==="widecheck"?(x=420,_=2364,Z=.42,w=m+"4"):(x=312,_=2340,Z=.34,w="tilde4");else{var Ce=[1,1,2,2,3,3][f];m==="widehat"||m==="widecheck"?(_=[0,1062,2364,2364,2364][Ce],x=[0,239,300,360,420][Ce],Z=[0,.24,.3,.3,.36,.42][Ce],w=m+Ce):(_=[0,600,1033,2339,2340][Ce],x=[0,260,286,306,312][Ce],Z=[0,.26,.286,.3,.306,.34][Ce],w="tilde"+Ce)}var ne=new PathNode(w),$e=new SvgNode([ne],{width:"100%",height:makeEm(Z),viewBox:"0 0 "+_+" "+x,preserveAspectRatio:"none"});return{span:buildCommon.makeSvgSpan([],[$e],r),minWidth:0,height:Z}}else{var Ie=[],Dt=katexImagesData[m],[Lr,ec,ys]=Dt,tc=ys/1e3,nc=Lr.length,ac,sc;if(nc===1){var cc=Dt[3];ac=["hide-tail"],sc=[cc]}else if(nc===2)ac=["halfarrow-left","halfarrow-right"],sc=["xMinYMin","xMaxYMin"];else if(nc===3)ac=["brace-left","brace-center","brace-right"],sc=["xMinYMin","xMidYMin","xMaxYMin"];else throw new Error(`Correct katexImagesData or update code here to support
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SvgNode(g,{width:"100%",height:makeEm(_)});u=buildCommon.makeSvgSpan([],[f],l)}return u.height=_,u.style.height=makeEm(_),u},stretchy={encloseSpan,mathMLnode,svgSpan};function assertNodeType(n,t){if(!n||n.type!==t)throw new Error("Expected node of type "+t+", but got "+(n?"node of type "+n.type:String(n)));return n}function assertSymbolNodeType(n){var t=checkSymbolNodeType(n);if(!t)throw new Error("Expected node of symbol group type, but got "+(n?"node of type "+n.type:String(n)));return t}function checkSymbolNodeType(n){return n&&(n.type==="atom"||NON_ATOMS.hasOwnProperty(n.type))?n:null}var htmlBuilder$a=(n,t)=>{var r,a,s;n&&n.type==="supsub"?(a=assertNodeType(n.base,"accent"),r=a.base,n.base=r,s=assertSpan(buildGroup$1(n,t)),n.base=a):(a=assertNodeType(n,"accent"),r=a.base);var l=buildGroup$1(r,t.havingCrampedStyle()),u=a.isShifty&&utils$2.isCharacterBox(r),_=0;if(u){var m=utils$2.getBaseElem(r),g=buildGroup$1(m,t.havingCrampedStyle());_=assertSymbolDomNode(g).skew}var f=a.label==="\\c",x=f?l.height+l.depth:Math.min(l.height,t.fontMetrics().xHeight),w;if(a.isStretchy)w=stretchy.svgSpan(a,t),w=buildCommon.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:l},{type:"elem",elem:w,wrapperClasses:["svg-align"],wrapperStyle:_>0?{width:"calc(100% - "+makeEm(2*_)+")",marginLeft:makeEm(2*_)}:void 0}]},t);else{var Z,Ce;a.label==="\\vec"?(Z=buildCommon.staticSvg("vec",t),Ce=buildCommon.svgData.vec[1]):(Z=buildCommon.makeOrd({mode:a.mode,text:a.label},t,"textord"),Z=assertSymbolDomNode(Z),Z.italic=0,Ce=Z.width,f&&(x+=Z.depth)),w=buildCommon.makeSpan(["accent-body"],[Z]);var ne=a.label==="\\textcircled";ne&&(w.classes.push("accent-full"),x=l.height);var $e=_;ne||($e-=Ce/2),w.style.left=makeEm($e),a.label==="\\textcircled"&&(w.style.top=".2em"),w=buildCommon.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:l},{type:"kern",size:-x},{type:"elem",elem:w}]},t)}var Ie=buildCommon.makeSpan(["mord","accent"],[w],t);return s?(s.children[0]=Ie,s.height=Math.max(Ie.height,s.height),s.classes[0]="mord",s):Ie},mathmlBuilder$9=(n,t)=>{var r=n.isStretchy?stretchy.mathMLnode(n.label):new mathMLTree.MathNode("mo",[makeText(n.label,n.mode)]),a=new mathMLTree.MathNode("mover",[buildGroup(n.base,t),r]);return a.setAttribute("accent","true"),a},NON_STRETCHY_ACCENT_REGEX=new RegExp(["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring"].map(n=>"\\"+n).join("|"));defineFunction({type:"accent",names:["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring","\\widecheck","\\widehat","\\widetilde","\\overrightarrow","\\overleftarrow","\\Overrightarrow","\\overleftrightarrow","\\overgroup","\\overlinesegment","\\overleftharpoon","\\overrightharpoon"],props:{numArgs:1},handler:(n,t)=>{var r=normalizeArgument(t[0]),a=!NON_STRETCHY_ACCENT_REGEX.test(n.funcName),s=!a||n.funcName==="\\widehat"||n.funcName==="\\widetilde"||n.funcName==="\\widecheck";return{type:"accent",mode:n.parser.mode,label:n.funcName,isStretchy:a,isShifty:s,base:r}},htmlBuilder:htmlBuilder$a,mathmlBuilder:mathmlBuilder$9});defineFunction({type:"accent",names:["\\'","\\`","\\^","\\~","\\=","\\u","\\.",'\\"',"\\c","\\r","\\H","\\v","\\textcircled"],props:{numArgs:1,allowedInText:!0,allowedInMath:!0,argTypes:["primitive"]},handler:(n,t)=>{var r=t[0],a=n.parser.mode;return a==="math"&&(n.parser.settings.reportNonstrict("mathVsTextAccents","LaTeX's accent "+n.funcName+" works only in text mode"),a="text"),{type:"accent",mode:a,label:n.funcName,isStretchy:!1,isShifty:!0,base:r}},htmlBuilder:htmlBuilder$a,mathmlBuilder:mathmlBuilder$9});defineFunction({type:"accentUnder",names:["\\underleftarrow","\\underrightarrow","\\underleftrightarrow","\\undergroup","\\underlinesegment","\\utilde"],props:{numArgs:1},handler:(n,t)=>{var{parser:r,funcName:a}=n,s=t[0];return{type:"accentUnder",mode:r.mode,label:a,base:s}},htmlBuilder:(n,t)=>{var r=buildGroup$1(n.base,t),a=stretchy.svgSpan(n,t),s=n.label==="\\utilde"?.12:0,l=buildCommon.makeVList({positionType:"top",positionData:r.height,children:[{type:"elem",elem:a,wrapperClasses:["svg-align"]},{type:"kern",size:s},{type:"elem",elem:r}]},t);return buildCommon.makeSpan(["mord","accentunder"],[l],t)},mathmlBuilder:(n,t)=>{var r=stretchy.mathMLnode(n.label),a=new mathMLTree.MathNode("munder",[buildGroup(n.base,t),r]);return a.setAttribute("accentunder","true"),a}});var paddedNode=n=>{var t=new mathMLTree.MathNode("mpadded",n?[n]:[]);return t.setAttribute("width","+0.6em"),t.setAttribute("lspace","0.3em"),t};defineFunction({type:"xArrow",names:["\\xleftarrow","\\xrightarrow","\\xLeftarrow","\\xRightarrow","\\xleftrightarrow","\\xLeftrightarrow","\\xhookleftarrow","\\xhookrightarrow","\\xmapsto","\\xrightharpoondown","\\xrightharpoonup","\\xleftharpoondown","\\xleftharpoonup","\\xrightleftharpoons","\\xleftrightharpoons","\\xlongequal","\\xtwoheadrightarrow","\\xtwoheadleftarrow","\\xtofrom","\\xrightleftarrows","\\xrightequilibrium","\\xleftequilibrium","\\\\cdrightarrow","\\\\cdleftarrow","\\\\cdlongequal"],props:{numArgs:1,numOptionalArgs:1},handler(n,t,r){var{parser:a,funcName:s}=n;return{type:"xArrow",mode:a.mode,label:s,body:t[0],below:r[0]}},htmlBuilder(n,t){var r=t.style,a=t.havingStyle(r.sup()),s=buildCommon.wrapFragment(buildGroup$1(n.body,a,t),t),l=n.label.slice(0,2)==="\\x"?"x":"cd";s.classes.push(l+"-arrow-pad");var u;n.below&&(a=t.havingStyle(r.sub()),u=buildCommon.wrapFragment(buildGroup$1(n.below,a,t),t),u.classes.push(l+"-arrow-pad"));var _=stretchy.svgSpan(n,t),m=-t.fontMetrics().axisHeight+.5*_.height,g=-t.fontMetrics().axisHeight-.5*_.height-.111;(s.depth>.25||n.label==="\\xleftequilibrium")&&(g-=s.depth);var f;if(u){var x=-t.fontMetrics().axisHeight+u.height+.5*_.height+.111;f=buildCommon.makeVList({positionType:"individualShift",children:[{type:"elem",elem:s,shift:g},{type:"elem",elem:_,shift:m},{type:"elem",elem:u,shift:x}]},t)}else f=buildCommon.makeVList({positionType:"individualShift",children:[{type:"elem",elem:s,shift:g},{type:"elem",elem:_,shift:m}]},t);return f.children[0].children[0].children[1].classes.push("svg-align"),buildCommon.makeSpan(["mrel","x-arrow"],[f],t)},mathmlBuilder(n,t){var r=stretchy.mathMLnode(n.label);r.setAttribute("minsize",n.label.charAt(0)==="x"?"1.75em":"3.0em");var a;if(n.body){var s=paddedNode(buildGroup(n.body,t));if(n.below){var l=paddedNode(buildGroup(n.below,t));a=new mathMLTree.MathNode("munderover",[r,l,s])}else a=new mathMLTree.MathNode("mover",[r,s])}else if(n.below){var u=paddedNode(buildGroup(n.below,t));a=new mathMLTree.MathNode("munder",[r,u])}else a=paddedNode(),a=new mathMLTree.MathNode("mover",[r,a]);return a}});var makeSpan=buildCommon.makeSpan;function htmlBuilder$9(n,t){var r=buildExpression$1(n.body,t,!0);return makeSpan([n.mclass],r,t)}function mathmlBuilder$8(n,t){var r,a=buildExpression(n.body,t);return n.mclass==="minner"?r=new mathMLTree.MathNode("mpadded",a):n.mclass==="mord"?n.isCharacterBox?(r=a[0],r.type="mi"):r=new mathMLTree.MathNode("mi",a):(n.isCharacterBox?(r=a[0],r.type="mo"):r=new mathMLTree.MathNode("mo",a),n.mclass==="mbin"?(r.attributes.lspace="0.22em",r.attributes.rspace="0.22em"):n.mclass==="mpunct"?(r.attributes.lspace="0em",r.attributes.rspace="0.17em"):n.mclass==="mopen"||n.mclass==="mclose"?(r.attributes.lspace="0em",r.attributes.rspace="0em"):n.mclass==="minner"&&(r.attributes.lspace="0.0556em",r.attributes.width="+0.1111em")),r}defineFunction({type:"mclass",names:["\\mathord","\\mathbin","\\mathrel","\\mathopen","\\mathclose","\\mathpunct","\\mathinner"],props:{numArgs:1,primitive:!0},handler(n,t){var{parser:r,funcName:a}=n,s=t[0];return{type:"mclass",mode:r.mode,mclass:"m"+a.slice(5),body:ordargument(s),isCharacterBox:utils$2.isCharacterBox(s)}},htmlBuilder:htmlBuilder$9,mathmlBuilder:mathmlBuilder$8});var binrelClass=n=>{var t=n.type==="ordgroup"&&n.body.length?n.body[0]:n;return t.type==="atom"&&(t.family==="bin"||t.family==="rel")?"m"+t.family:"mord"};defineFunction({type:"mclass",names:["\\@binrel"],props:{numArgs:2},handler(n,t){var{parser:r}=n;return{type:"mclass",mode:r.mode,mclass:binrelClass(t[0]),body:ordargument(t[1]),isCharacterBox:utils$2.isCharacterBox(t[1])}}});defineFunction({type:"mclass",names:["\\stackrel","\\overset","\\underset"],props:{numArgs:2},handler(n,t){var{parser:r,funcName:a}=n,s=t[1],l=t[0],u;a!=="\\stackrel"?u=binrelClass(s):u="mrel";var _={type:"op",mode:s.mode,limits:!0,alwaysHandleSupSub:!0,parentIsSupSub:!1,symbol:!1,suppressBaseShift:a!=="\\stackrel",body:ordargument(s)},m={type:"supsub",mode:l.mode,base:_,sup:a==="\\underset"?null:l,sub:a==="\\underset"?l:null};return{type:"mclass",mode:r.mode,mclass:u,body:[m],isCharacterBox:utils$2.isCharacterBox(m)}},htmlBuilder:htmlBuilder$9,mathmlBuilder:mathmlBuilder$8});defineFunction({type:"pmb",names:["\\pmb"],props:{numArgs:1,allowedInText:!0},handler(n,t){var{parser:r}=n;return{type:"pmb",mode:r.mode,mclass:binrelClass(t[0]),body:ordargument(t[0])}},htmlBuilder(n,t){var r=buildExpression$1(n.body,t,!0),a=buildCommon.makeSpan([n.mclass],r,t);return a.style.textShadow="0.02em 0.01em 0.04px",a},mathmlBuilder(n,t){var r=buildExpression(n.body,t),a=new mathMLTree.MathNode("mstyle",r);return a.setAttribute("style","text-shadow: 0.02em 0.01em 0.04px"),a}});var cdArrowFunctionName={">":"\\\\cdrightarrow","<":"\\\\cdleftarrow","=":"\\\\cdlongequal",A:"\\uparrow",V:"\\downarrow","|":"\\Vert",".":"no arrow"},newCell=()=>({type:"styling",body:[],mode:"math",style:"display"}),isStartOfArrow=n=>n.type==="textord"&&n.text==="@",isLabelEnd=(n,t)=>(n.type==="mathord"||n.type==="atom")&&n.text===t;function cdArrow(n,t,r){var a=cdArrowFunctionName[n];switch(a){case"\\\\cdrightarrow":case"\\\\cdleftarrow":return r.callFunction(a,[t[0]],[t[1]]);case"\\uparrow":case"\\downarrow":{var s=r.callFunction("\\\\cdleft",[t[0]],[]),l={type:"atom",text:a,mode:"math",family:"rel"},u=r.callFunction("\\Big",[l],[]),_=r.callFunction("\\\\cdright",[t[1]],[]),m={type:"ordgroup",mode:"math",body:[s,u,_]};return r.callFunction("\\\\cdparent",[m],[])}case"\\\\cdlongequal":return r.callFunction("\\\\cdlongequal",[],[]);case"\\Vert":{var g={type:"textord",text:"\\Vert",mode:"math"};return r.callFunction("\\Big",[g],[])}default:return{type:"textord",text:" ",mode:"math"}}}function parseCD(n){var t=[];for(n.gullet.beginGroup(),n.gullet.macros.set("\\cr","\\\\\\relax"),n.gullet.beginGroup();;){t.push(n.parseExpression(!1,"\\\\")),n.gullet.endGroup(),n.gullet.beginGroup();var r=n.fetch().text;if(r==="&"||r==="\\\\")n.consume();else if(r==="\\end"){t[t.length-1].length===0&&t.pop();break}else throw new ParseError("Expected \\\\ or \\cr or \\end",n.nextToken)}for(var a=[],s=[a],l=0;l<t.length;l++){for(var u=t[l],_=newCell(),m=0;m<u.length;m++)if(!isStartOfArrow(u[m]))_.body.push(u[m]);else{a.push(_),m+=1;var g=assertSymbolNodeType(u[m]).text,f=new Array(2);if(f[0]={type:"ordgroup",mode:"math",body:[]},f[1]={type:"ordgroup",mode:"math",body:[]},!("=|.".indexOf(g)>-1))if("<>AV".indexOf(g)>-1)for(var x=0;x<2;x++){for(var w=!0,Z=m+1;Z<u.length;Z++){if(isLabelEnd(u[Z],g)){w=!1,m=Z;break}if(isStartOfArrow(u[Z]))throw new ParseError("Missing a "+g+" character to complete a CD arrow.",u[Z]);f[x].body.push(u[Z])}if(w)throw new ParseError("Missing a "+g+" character to complete a CD arrow.",u[m])}else throw new ParseError('Expected one of "<>AV=|." after @',u[m]);var Ce=cdArrow(g,f,n),ne={type:"styling",body:[Ce],mode:"math",style:"display"};a.push(ne),_=newCell()}l%2===0?a.push(_):a.shift(),a=[],s.push(a)}n.gullet.endGroup(),n.gullet.endGroup();var $e=new Array(s[0].length).fill({type:"align",align:"c",pregap:.25,postgap:.25});return{type:"array",mode:"math",body:s,arraystretch:1,addJot:!0,rowGaps:[null],cols:$e,colSeparationType:"CD",hLinesBeforeRow:new Array(s.length+1).fill([])}}defineFunction({type:"cdlabel",names:["\\\\cdleft","\\\\cdright"],props:{numArgs:1},handler(n,t){var{parser:r,funcName:a}=n;return{type:"cdlabel",mode:r.mode,side:a.slice(4),label:t[0]}},htmlBuilder(n,t){var r=t.havingStyle(t.style.sup()),a=buildCommon.wrapFragment(buildGroup$1(n.label,r,t),t);return a.classes.push("cd-label-"+n.side),a.style.bottom=makeEm(.8-a.depth),a.height=0,a.depth=0,a},mathmlBuilder(n,t){var r=new mathMLTree.MathNode("mrow",[buildGroup(n.label,t)]);return r=new mathMLTree.MathNode("mpadded",[r]),r.setAttribute("width","0"),n.side==="left"&&r.setAttribute("lspace","-1width"),r.setAttribute("voffset","0.7em"),r=new mathMLTree.MathNode("mstyle",[r]),r.setAttribute("displaystyle","false"),r.setAttribute("scriptlevel","1"),r}});defineFunction({type:"cdlabelparent",names:["\\\\cdparent"],props:{numArgs:1},handler(n,t){var{parser:r}=n;return{type:"cdlabelparent",mode:r.mode,fragment:t[0]}},htmlBuilder(n,t){var r=buildCommon.wrapFragment(buildGroup$1(n.fragment,t),t);return r.classes.push("cd-vert-arrow"),r},mathmlBuilder(n,t){return new mathMLTree.MathNode("mrow",[buildGroup(n.fragment,t)])}});defineFunction({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler(n,t){for(var{parser:r}=n,a=assertNodeType(t[0],"ordgroup"),s=a.body,l="",u=0;u<s.length;u++){var _=assertNodeType(s[u],"textord");l+=_.text}var m=parseInt(l),g;if(isNaN(m))throw new ParseError("\\@char has non-numeric argument "+l);if(m<0||m>=1114111)throw new ParseError("\\@char with invalid code point "+l);return m<=65535?g=String.fromCharCode(m):(m-=65536,g=String.fromCharCode((m>>10)+55296,(m&1023)+56320)),{type:"textord",mode:r.mode,text:g}}});var htmlBuilder$8=(n,t)=>{var r=buildExpression$1(n.body,t.withColor(n.color),!1);return buildCommon.makeFragment(r)},mathmlBuilder$7=(n,t)=>{var r=buildExpression(n.body,t.withColor(n.color)),a=new mathMLTree.MathNode("mstyle",r);return a.setAttribute("mathcolor",n.color),a};defineFunction({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:!0,argTypes:["color","original"]},handler(n,t){var{parser:r}=n,a=assertNodeType(t[0],"color-token").color,s=t[1];return{type:"color",mode:r.mode,color:a,body:ordargument(s)}},htmlBuilder:htmlBuilder$8,mathmlBuilder:mathmlBuilder$7});defineFunction({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:!0,argTypes:["color"]},handler(n,t){var{parser:r,breakOnTokenText:a}=n,s=assertNodeType(t[0],"color-token").color;r.gullet.macros.set("\\current@color",s);var l=r.parseExpression(!0,a);return{type:"color",mode:r.mode,color:s,body:l}},htmlBuilder:htmlBuilder$8,mathmlBuilder:mathmlBuilder$7});defineFunction({type:"cr",names:["\\\\"],props:{numArgs:0,numOptionalArgs:0,allowedInText:!0},handler(n,t,r){var{parser:a}=n,s=a.gullet.future().text==="["?a.parseSizeGroup(!0):null,l=!a.settings.displayMode||!a.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline does nothing in display mode");return{type:"cr",mode:a.mode,newLine:l,size:s&&assertNodeType(s,"size").value}},htmlBuilder(n,t){var r=buildCommon.makeSpan(["mspace"],[],t);return n.newLine&&(r.classes.push("newline"),n.size&&(r.style.marginTop=makeEm(calculateSize(n.size,t)))),r},mathmlBuilder(n,t){var r=new mathMLTree.MathNode("mspace");return n.newLine&&(r.setAttribute("linebreak","newline"),n.size&&r.setAttribute("height",makeEm(calculateSize(n.size,t)))),r}});var globalMap={"\\global":"\\global","\\long":"\\\\globallong","\\\\globallong":"\\\\globallong","\\def":"\\gdef","\\gdef":"\\gdef","\\edef":"\\xdef","\\xdef":"\\xdef","\\let":"\\\\globallet","\\futurelet":"\\\\globalfuture"},checkControlSequence=n=>{var t=n.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(t))throw new ParseError("Expected a control sequence",n);return t},getRHS=n=>{var t=n.gullet.popToken();return t.text==="="&&(t=n.gullet.popToken(),t.text===" "&&(t=n.gullet.popToken())),t},letCommand=(n,t,r,a)=>{var s=n.gullet.macros.get(r.text);s==null&&(r.noexpand=!0,s={tokens:[r],numArgs:0,unexpandable:!n.gullet.isExpandable(r.text)}),n.gullet.macros.set(t,s,a)};defineFunction({type:"internal",names:["\\global","\\long","\\\\globallong"],props:{numArgs:0,allowedInText:!0},handler(n){var{parser:t,funcName:r}=n;t.consumeSpaces();var a=t.fetch();if(globalMap[a.text])return(r==="\\global"||r==="\\\\globallong")&&(a.text=globalMap[a.text]),assertNodeType(t.parseFunction(),"internal");throw new ParseError("Invalid token after macro prefix",a)}});defineFunction({type:"internal",names:["\\def","\\gdef","\\edef","\\xdef"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler(n){var{parser:t,funcName:r}=n,a=t.gullet.popToken(),s=a.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(s))throw new ParseError("Expected a control sequence",a);for(var l=0,u,_=[[]];t.gullet.future().text!=="{";)if(a=t.gullet.popToken(),a.text==="#"){if(t.gullet.future().text==="{"){u=t.gullet.future(),_[l].push("{");break}if(a=t.gullet.popToken(),!/^[1-9]$/.test(a.text))throw new ParseError('Invalid argument number "'+a.text+'"');if(parseInt(a.text)!==l+1)throw new ParseError('Argument number "'+a.text+'" out of order');l++,_.push([])}else{if(a.text==="EOF")throw new ParseError("Expected a macro definition");_[l].push(a.text)}var{tokens:m}=t.gullet.consumeArg();return u&&m.unshift(u),(r==="\\edef"||r==="\\xdef")&&(m=t.gullet.expandTokens(m),m.reverse()),t.gullet.macros.set(s,{tokens:m,numArgs:l,delimiters:_},r===globalMap[r]),{type:"internal",mode:t.mode}}});defineFunction({type:"internal",names:["\\let","\\\\globallet"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler(n){var{parser:t,funcName:r}=n,a=checkControlSequence(t.gullet.popToken());t.gullet.consumeSpaces();var s=getRHS(t);return letCommand(t,a,s,r==="\\\\globallet"),{type:"internal",mode:t.mode}}});defineFunction({type:"internal",names:["\\futurelet","\\\\globalfuture"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler(n){var{parser:t,funcName:r}=n,a=checkControlSequence(t.gullet.popToken()),s=t.gullet.popToken(),l=t.gullet.popToken();return letCommand(t,a,l,r==="\\\\globalfuture"),t.gullet.pushToken(l),t.gullet.pushToken(s),{type:"internal",mode:t.mode}}});var getMetrics=function n(t,r,a){var s=symbols.math[t]&&symbols.math[t].replace,l=getCharacterMetrics(s||t,r,a);if(!l)throw new Error("Unsupported symbol "+t+" and font size "+r+".");return l},styleWrap=function n(t,r,a,s){var l=a.havingBaseStyle(r),u=buildCommon.makeSpan(s.concat(l.sizingClasses(a)),[t],a),_=l.sizeMultiplier/a.sizeMultiplier;return u.height*=_,u.depth*=_,u.maxFontSize=l.sizeMultiplier,u},centerSpan=function n(t,r,a){var s=r.havingBaseStyle(a),l=(1-r.sizeMultiplier/s.sizeMultiplier)*r.fontMetrics().axisHeight;t.classes.push("delimcenter"),t.style.top=makeEm(l),t.height-=l,t.depth+=l},makeSmallDelim=function n(t,r,a,s,l,u){var _=buildCommon.makeSymbol(t,"Main-Regular",l,s),m=styleWrap(_,r,s,u);return a&&centerSpan(m,s,r),m},mathrmSize=function n(t,r,a,s){return buildCommon.makeSymbol(t,"Size"+r+"-Regular",a,s)},makeLargeDelim=function n(t,r,a,s,l,u){var _=mathrmSize(t,r,l,s),m=styleWrap(buildCommon.makeSpan(["delimsizing","size"+r],[_],s),Style$1.TEXT,s,u);return a&&centerSpan(m,s,Style$1.TEXT),m},makeGlyphSpan=function n(t,r,a){var s;r==="Size1-Regular"?s="delim-size1":s="delim-size4";var l=buildCommon.makeSpan(["delimsizinginner",s],[buildCommon.makeSpan([],[buildCommon.makeSymbol(t,r,a)])]);return{type:"elem",elem:l}},makeInner=function n(t,r,a){var s=fontMetricsData["Size4-Regular"][t.charCodeAt(0)]?fontMetricsData["Size4-Regular"][t.charCodeAt(0)][4]:fontMetricsData["Size1-Regular"][t.charCodeAt(0)][4],l=new PathNode("inner",innerPath(t,Math.round(1e3*r))),u=new SvgNode([l],{width:makeEm(s),height:makeEm(r),style:"width:"+makeEm(s),viewBox:"0 0 "+1e3*s+" "+Math.round(1e3*r),preserveAspectRatio:"xMinYMin"}),_=buildCommon.makeSvgSpan([],[u],a);return _.height=r,_.style.height=makeEm(r),_.style.width=makeEm(s),{type:"elem",elem:_}},lapInEms=.008,lap={type:"kern",size:-1*lapInEms},verts=["|","\\lvert","\\rvert","\\vert"],doubleVerts=["\\|","\\lVert","\\rVert","\\Vert"],makeStackedDelim=function n(t,r,a,s,l,u){var _,m,g,f,x="",w=0;_=g=f=t,m=null;var Z="Size1-Regular";t==="\\uparrow"?g=f="⏐":t==="\\Uparrow"?g=f="‖":t==="\\downarrow"?_=g="⏐":t==="\\Downarrow"?_=g="‖":t==="\\updownarrow"?(_="\\uparrow",g="⏐",f="\\downarrow"):t==="\\Updownarrow"?(_="\\Uparrow",g="‖",f="\\Downarrow"):utils$2.contains(verts,t)?(g="∣",x="vert",w=333):utils$2.contains(doubleVerts,t)?(g="∥",x="doublevert",w=556):t==="["||t==="\\lbrack"?(_="⎡",g="⎢",f="⎣",Z="Size4-Regular",x="lbrack",w=667):t==="]"||t==="\\rbrack"?(_="⎤",g="⎥",f="⎦",Z="Size4-Regular",x="rbrack",w=667):t==="\\lfloor"||t==="⌊"?(g=_="⎢",f="⎣",Z="Size4-Regular",x="lfloor",w=667):t==="\\lceil"||t==="⌈"?(_="⎡",g=f="⎢",Z="Size4-Regular",x="lceil",w=667):t==="\\rfloor"||t==="⌋"?(g=_="⎥",f="⎦",Z="Size4-Regular",x="rfloor",w=667):t==="\\rceil"||t==="⌉"?(_="⎤",g=f="⎥",Z="Size4-Regular",x="rceil",w=667):t==="("||t==="\\lparen"?(_="⎛",g="⎜",f="⎝",Z="Size4-Regular",x="lparen",w=875):t===")"||t==="\\rparen"?(_="⎞",g="⎟",f="⎠",Z="Size4-Regular",x="rparen",w=875):t==="\\{"||t==="\\lbrace"?(_="⎧",m="⎨",f="⎩",g="⎪",Z="Size4-Regular"):t==="\\}"||t==="\\rbrace"?(_="⎫",m="⎬",f="⎭",g="⎪",Z="Size4-Regular"):t==="\\lgroup"||t==="⟮"?(_="⎧",f="⎩",g="⎪",Z="Size4-Regular"):t==="\\rgroup"||t==="⟯"?(_="⎫",f="⎭",g="⎪",Z="Size4-Regular"):t==="\\lmoustache"||t==="⎰"?(_="⎧",f="⎭",g="⎪",Z="Size4-Regular"):(t==="\\rmoustache"||t==="⎱")&&(_="⎫",f="⎩",g="⎪",Z="Size4-Regular");var Ce=getMetrics(_,Z,l),ne=Ce.height+Ce.depth,$e=getMetrics(g,Z,l),Ie=$e.height+$e.depth,Dt=getMetrics(f,Z,l),Lr=Dt.height+Dt.depth,ec=0,ys=1;if(m!==null){var tc=getMetrics(m,Z,l);ec=tc.height+tc.depth,ys=2}var nc=ne+Lr+ec,ac=Math.max(0,Math.ceil((r-nc)/(ys*Ie))),sc=nc+ac*ys*Ie,cc=s.fontMetrics().axisHeight;a&&(cc*=s.sizeMultiplier);var uc=sc/2-cc,lc=[];if(x.length>0){var e0=sc-ne-Lr,dc=Math.round(sc*1e3),kc=tallDelim(x,Math.round(e0*1e3)),Jc=new PathNode(x,kc),n0=(w/1e3).toFixed(3)+"em",d0=(dc/1e3).toFixed(3)+"em",t0=new SvgNode([Jc],{width:n0,height:d0,viewBox:"0 0 "+w+" "+dc}),h0=buildCommon.makeSvgSpan([],[t0],s);h0.height=dc/1e3,h0.style.width=n0,h0.style.height=d0,lc.push({type:"elem",elem:h0})}else{if(lc.push(makeGlyphSpan(f,Z,l)),lc.push(lap),m===null){var _0=sc-ne-Lr+2*lapInEms;lc.push(makeInner(g,_0,s))}else{var c0=(sc-ne-Lr-ec)/2+2*lapInEms;lc.push(makeInner(g,c0,s)),lc.push(lap),lc.push(makeGlyphSpan(m,Z,l)),lc.push(lap),lc.push(makeInner(g,c0,s))}lc.push(lap),lc.push(makeGlyphSpan(_,Z,l))}var f0=s.havingBaseStyle(Style$1.TEXT),q0=buildCommon.makeVList({positionType:"bottom",positionData:uc,children:lc},f0);return styleWrap(buildCommon.makeSpan(["delimsizing","mult"],[q0],f0),Style$1.TEXT,s,u)},vbPad=80,emPad=.08,sqrtSvg=function n(t,r,a,s,l){var u=sqrtPath(t,s,a),_=new PathNode(t,u),m=new SvgNode([_],{width:"400em",height:makeEm(r),viewBox:"0 0 400000 "+a,preserveAspectRatio:"xMinYMin slice"});return buildCommon.makeSvgSpan(["hide-tail"],[m],l)},makeSqrtImage=function n(t,r){var a=r.havingBaseSizing(),s=traverseSequence("\\surd",t*a.sizeMultiplier,stackLargeDelimiterSequence,a),l=a.sizeMultiplier,u=Math.max(0,r.minRuleThickness-r.fontMetrics().sqrtRuleThickness),_,m=0,g=0,f=0,x;return s.type==="small"?(f=1e3+1e3*u+vbPad,t<1?l=1:t<1.4&&(l=.7),m=(1+u+emPad)/l,g=(1+u)/l,_=sqrtSvg("sqrtMain",m,f,u,r),_.style.minWidth="0.853em",x=.833/l):s.type==="large"?(f=(1e3+vbPad)*sizeToMaxHeight[s.size],g=(sizeToMaxHeight[s.size]+u)/l,m=(sizeToMaxHeight[s.size]+u+emPad)/l,_=sqrtSvg("sqrtSize"+s.size,m,f,u,r),_.style.minWidth="1.02em",x=1/l):(m=t+u+emPad,g=t+u,f=Math.floor(1e3*t+u)+vbPad,_=sqrtSvg("sqrtTall",m,f,u,r),_.style.minWidth="0.742em",x=1.056),_.height=g,_.style.height=makeEm(m),{span:_,advanceWidth:x,ruleWidth:(r.fontMetrics().sqrtRuleThickness+u)*l}},stackLargeDelimiters=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","\\surd"],stackAlwaysDelimiters=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱"],stackNeverDelimiters=["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"],sizeToMaxHeight=[0,1.2,1.8,2.4,3],makeSizedDelim=function n(t,r,a,s,l){if(t==="<"||t==="\\lt"||t==="⟨"?t="\\langle":(t===">"||t==="\\gt"||t==="⟩")&&(t="\\rangle"),utils$2.contains(stackLargeDelimiters,t)||utils$2.contains(stackNeverDelimiters,t))return makeLargeDelim(t,r,!1,a,s,l);if(utils$2.contains(stackAlwaysDelimiters,t))return makeStackedDelim(t,sizeToMaxHeight[r],!1,a,s,l);throw new ParseError("Illegal delimiter: '"+t+"'")},stackNeverDelimiterSequence=[{type:"small",style:Style$1.SCRIPTSCRIPT},{type:"small",style:Style$1.SCRIPT},{type:"small",style:Style$1.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],stackAlwaysDelimiterSequence=[{type:"small",style:Style$1.SCRIPTSCRIPT},{type:"small",style:Style$1.SCRIPT},{type:"small",style:Style$1.TEXT},{type:"stack"}],stackLargeDelimiterSequence=[{type:"small",style:Style$1.SCRIPTSCRIPT},{type:"small",style:Style$1.SCRIPT},{type:"small",style:Style$1.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}],delimTypeToFont=function n(t){if(t.type==="small")return"Main-Regular";if(t.type==="large")return"Size"+t.size+"-Regular";if(t.type==="stack")return"Size4-Regular";throw new Error("Add support for delim type '"+t.type+"' here.")},traverseSequence=function n(t,r,a,s){for(var l=Math.min(2,3-s.style.size),u=l;u<a.length&&a[u].type!=="stack";u++){var _=getMetrics(t,delimTypeToFont(a[u]),"math"),m=_.height+_.depth;if(a[u].type==="small"){var g=s.havingBaseStyle(a[u].style);m*=g.sizeMultiplier}if(m>r)return a[u]}return a[a.length-1]},makeCustomSizedDelim=function n(t,r,a,s,l,u){t==="<"||t==="\\lt"||t==="⟨"?t="\\langle":(t===">"||t==="\\gt"||t==="⟩")&&(t="\\rangle");var _;utils$2.contains(stackNeverDelimiters,t)?_=stackNeverDelimiterSequence:utils$2.contains(stackLargeDelimiters,t)?_=stackLargeDelimiterSequence:_=stackAlwaysDelimiterSequence;var m=traverseSequence(t,r,_,s);return m.type==="small"?makeSmallDelim(t,m.style,a,s,l,u):m.type==="large"?makeLargeDelim(t,m.size,a,s,l,u):makeStackedDelim(t,r,a,s,l,u)},makeLeftRightDelim=function n(t,r,a,s,l,u){var _=s.fontMetrics().axisHeight*s.sizeMultiplier,m=901,g=5/s.fontMetrics().ptPerEm,f=Math.max(r-_,a+_),x=Math.max(f/500*m,2*f-g);return makeCustomSizedDelim(t,x,!0,s,l,u)},delimiter={sqrtImage:makeSqrtImage,sizedDelim:makeSizedDelim,sizeToMaxHeight,customSizedDelim:makeCustomSizedDelim,leftRightDelim:makeLeftRightDelim},delimiterSizes={"\\bigl":{mclass:"mopen",size:1},"\\Bigl":{mclass:"mopen",size:2},"\\biggl":{mclass:"mopen",size:3},"\\Biggl":{mclass:"mopen",size:4},"\\bigr":{mclass:"mclose",size:1},"\\Bigr":{mclass:"mclose",size:2},"\\biggr":{mclass:"mclose",size:3},"\\Biggr":{mclass:"mclose",size:4},"\\bigm":{mclass:"mrel",size:1},"\\Bigm":{mclass:"mrel",size:2},"\\biggm":{mclass:"mrel",size:3},"\\Biggm":{mclass:"mrel",size:4},"\\big":{mclass:"mord",size:1},"\\Big":{mclass:"mord",size:2},"\\bigg":{mclass:"mord",size:3},"\\Bigg":{mclass:"mord",size:4}},delimiters=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","<",">","\\langle","⟨","\\rangle","⟩","\\lt","\\gt","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱","/","\\backslash","|","\\vert","\\|","\\Vert","\\uparrow","\\Uparrow","\\downarrow","\\Downarrow","\\updownarrow","\\Updownarrow","."];function checkDelimiter(n,t){var r=checkSymbolNodeType(n);if(r&&utils$2.contains(delimiters,r.text))return r;throw r?new ParseError("Invalid delimiter '"+r.text+"' after '"+t.funcName+"'",n):new ParseError("Invalid delimiter type '"+n.type+"'",n)}defineFunction({type:"delimsizing",names:["\\bigl","\\Bigl","\\biggl","\\Biggl","\\bigr","\\Bigr","\\biggr","\\Biggr","\\bigm","\\Bigm","\\biggm","\\Biggm","\\big","\\Big","\\bigg","\\Bigg"],props:{numArgs:1,argTypes:["primitive"]},handler:(n,t)=>{var r=checkDelimiter(t[0],n);return{type:"delimsizing",mode:n.parser.mode,size:delimiterSizes[n.funcName].size,mclass:delimiterSizes[n.funcName].mclass,delim:r.text}},htmlBuilder:(n,t)=>n.delim==="."?buildCommon.makeSpan([n.mclass]):delimiter.sizedDelim(n.delim,n.size,t,n.mode,[n.mclass]),mathmlBuilder:n=>{var t=[];n.delim!=="."&&t.push(makeText(n.delim,n.mode));var r=new mathMLTree.MathNode("mo",t);n.mclass==="mopen"||n.mclass==="mclose"?r.setAttribute("fence","true"):r.setAttribute("fence","false"),r.setAttribute("stretchy","true");var a=makeEm(delimiter.sizeToMaxHeight[n.size]);return r.setAttribute("minsize",a),r.setAttribute("maxsize",a),r}});function assertParsed(n){if(!n.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}defineFunction({type:"leftright-right",names:["\\right"],props:{numArgs:1,primitive:!0},handler:(n,t)=>{var r=n.parser.gullet.macros.get("\\current@color");if(r&&typeof r!="string")throw new ParseError("\\current@color set to non-string in \\right");return{type:"leftright-right",mode:n.parser.mode,delim:checkDelimiter(t[0],n).text,color:r}}});defineFunction({type:"leftright",names:["\\left"],props:{numArgs:1,primitive:!0},handler:(n,t)=>{var r=checkDelimiter(t[0],n),a=n.parser;++a.leftrightDepth;var s=a.parseExpression(!1);--a.leftrightDepth,a.expect("\\right",!1);var l=assertNodeType(a.parseFunction(),"leftright-right");return{type:"leftright",mode:a.mode,body:s,left:r.text,right:l.delim,rightColor:l.color}},htmlBuilder:(n,t)=>{assertParsed(n);for(var r=buildExpression$1(n.body,t,!0,["mopen","mclose"]),a=0,s=0,l=!1,u=0;u<r.length;u++)r[u].isMiddle?l=!0:(a=Math.max(r[u].height,a),s=Math.max(r[u].depth,s));a*=t.sizeMultiplier,s*=t.sizeMultiplier;var _;if(n.left==="."?_=makeNullDelimiter(t,["mopen"]):_=delimiter.leftRightDelim(n.left,a,s,t,n.mode,["mopen"]),r.unshift(_),l)for(var m=1;m<r.length;m++){var g=r[m],f=g.isMiddle;f&&(r[m]=delimiter.leftRightDelim(f.delim,a,s,f.options,n.mode,[]))}var x;if(n.right===".")x=makeNullDelimiter(t,["mclose"]);else{var w=n.rightColor?t.withColor(n.rightColor):t;x=delimiter.leftRightDelim(n.right,a,s,w,n.mode,["mclose"])}return r.push(x),buildCommon.makeSpan(["minner"],r,t)},mathmlBuilder:(n,t)=>{assertParsed(n);var r=buildExpression(n.body,t);if(n.left!=="."){var a=new mathMLTree.MathNode("mo",[makeText(n.left,n.mode)]);a.setAttribute("fence","true"),r.unshift(a)}if(n.right!=="."){var s=new mathMLTree.MathNode("mo",[makeText(n.right,n.mode)]);s.setAttribute("fence","true"),n.rightColor&&s.setAttribute("mathcolor",n.rightColor),r.push(s)}return makeRow(r)}});defineFunction({type:"middle",names:["\\middle"],props:{numArgs:1,primitive:!0},handler:(n,t)=>{var r=checkDelimiter(t[0],n);if(!n.parser.leftrightDepth)throw new ParseError("\\middle without preceding \\left",r);return{type:"middle",mode:n.parser.mode,delim:r.text}},htmlBuilder:(n,t)=>{var r;if(n.delim===".")r=makeNullDelimiter(t,[]);else{r=delimiter.sizedDelim(n.delim,1,t,n.mode,[]);var a={delim:n.delim,options:t};r.isMiddle=a}return r},mathmlBuilder:(n,t)=>{var r=n.delim==="\\vert"||n.delim==="|"?makeText("|","text"):makeText(n.delim,n.mode),a=new mathMLTree.MathNode("mo",[r]);return a.setAttribute("fence","true"),a.setAttribute("lspace","0.05em"),a.setAttribute("rspace","0.05em"),a}});var htmlBuilder$7=(n,t)=>{var r=buildCommon.wrapFragment(buildGroup$1(n.body,t),t),a=n.label.slice(1),s=t.sizeMultiplier,l,u=0,_=utils$2.isCharacterBox(n.body);if(a==="sout")l=buildCommon.makeSpan(["stretchy","sout"]),l.height=t.fontMetrics().defaultRuleThickness/s,u=-.5*t.fontMetrics().xHeight;else if(a==="phase"){var m=calculateSize({number:.6,unit:"pt"},t),g=calculateSize({number:.35,unit:"ex"},t),f=t.havingBaseSizing();s=s/f.sizeMultiplier;var x=r.height+r.depth+m+g;r.style.paddingLeft=makeEm(x/2+m);var w=Math.floor(1e3*x*s),Z=phasePath(w),Ce=new SvgNode([new PathNode("phase",Z)],{width:"400em",height:makeEm(w/1e3),viewBox:"0 0 400000 "+w,preserveAspectRatio:"xMinYMin slice"});l=buildCommon.makeSvgSpan(["hide-tail"],[Ce],t),l.style.height=makeEm(x),u=r.depth+m+g}else{/cancel/.test(a)?_||r.classes.push("cancel-pad"):a==="angl"?r.classes.push("anglpad"):r.classes.push("boxpad");var ne=0,$e=0,Ie=0;/box/.test(a)?(Ie=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness),ne=t.fontMetrics().fboxsep+(a==="colorbox"?0:Ie),$e=ne):a==="angl"?(Ie=Math.max(t.fontMetrics().defaultRuleThickness,t.minRuleThickness),ne=4*Ie,$e=Math.max(0,.25-r.depth)):(ne=_?.2:0,$e=ne),l=stretchy.encloseSpan(r,a,ne,$e,t),/fbox|boxed|fcolorbox/.test(a)?(l.style.borderStyle="solid",l.style.borderWidth=makeEm(Ie)):a==="angl"&&Ie!==.049&&(l.style.borderTopWidth=makeEm(Ie),l.style.borderRightWidth=makeEm(Ie)),u=r.depth+$e,n.backgroundColor&&(l.style.backgroundColor=n.backgroundColor,n.borderColor&&(l.style.borderColor=n.borderColor))}var Dt;if(n.backgroundColor)Dt=buildCommon.makeVList({positionType:"individualShift",children:[{type:"elem",elem:l,shift:u},{type:"elem",elem:r,shift:0}]},t);else{var Lr=/cancel|phase/.test(a)?["svg-align"]:[];Dt=buildCommon.makeVList({positionType:"individualShift",children:[{type:"elem",elem:r,shift:0},{type:"elem",elem:l,shift:u,wrapperClasses:Lr}]},t)}return/cancel/.test(a)&&(Dt.height=r.height,Dt.depth=r.depth),/cancel/.test(a)&&!_?buildCommon.makeSpan(["mord","cancel-lap"],[Dt],t):buildCommon.makeSpan(["mord"],[Dt],t)},mathmlBuilder$6=(n,t)=>{var r=0,a=new mathMLTree.MathNode(n.label.indexOf("colorbox")>-1?"mpadded":"menclose",[buildGroup(n.body,t)]);switch(n.label){case"\\cancel":a.setAttribute("notation","updiagonalstrike");break;case"\\bcancel":a.setAttribute("notation","downdiagonalstrike");break;case"\\phase":a.setAttribute("notation","phasorangle");break;case"\\sout":a.setAttribute("notation","horizontalstrike");break;case"\\fbox":a.setAttribute("notation","box");break;case"\\angl":a.setAttribute("notation","actuarial");break;case"\\fcolorbox":case"\\colorbox":if(r=t.fontMetrics().fboxsep*t.fontMetrics().ptPerEm,a.setAttribute("width","+"+2*r+"pt"),a.setAttribute("height","+"+2*r+"pt"),a.setAttribute("lspace",r+"pt"),a.setAttribute("voffset",r+"pt"),n.label==="\\fcolorbox"){var s=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness);a.setAttribute("style","border: "+s+"em solid "+String(n.borderColor))}break;case"\\xcancel":a.setAttribute("notation","updiagonalstrike downdiagonalstrike");break}return 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Z=buildExpression$1(l.body,t,!0);Z.length===1&&Z[0]instanceof SymbolNode?(m=Z[0],m.classes[0]="mop"):m=buildCommon.makeSpan(["mop"],Z,t)}else{for(var Ce=[],ne=1;ne<l.name.length;ne++)Ce.push(buildCommon.mathsym(l.name[ne],l.mode,t));m=buildCommon.makeSpan(["mop"],Ce,t)}var $e=0,Ie=0;return(m instanceof SymbolNode||l.name==="\\oiint"||l.name==="\\oiiint")&&!l.suppressBaseShift&&($e=(m.height-m.depth)/2-t.fontMetrics().axisHeight,Ie=m.italic),s?assembleSupSub(m,r,a,t,u,Ie,$e):($e&&(m.style.position="relative",m.style.top=makeEm($e)),m)},mathmlBuilder$1=(n,t)=>{var r;if(n.symbol)r=new MathNode("mo",[makeText(n.name,n.mode)]),utils$2.contains(noSuccessor,n.name)&&r.setAttribute("largeop","false");else if(n.body)r=new MathNode("mo",buildExpression(n.body,t));else{r=new MathNode("mi",[new TextNode(n.name.slice(1))]);var a=new MathNode("mo",[makeText("⁡","text")]);n.parentIsSupSub?r=new MathNode("mrow",[r,a]):r=newDocumentFragment([r,a])}return r},singleCharBigOps={"∏":"\\prod","∐":"\\coprod","∑":"\\sum","⋀":"\\bigwedge","⋁":"\\bigvee","⋂":"\\bigcap","⋃":"\\bigcup","⨀":"\\bigodot","⨁":"\\bigoplus","⨂":"\\bigotimes","⨄":"\\biguplus","⨆":"\\bigsqcup"};defineFunction({type:"op",names:["\\coprod","\\bigvee","\\bigwedge","\\biguplus","\\bigcap","\\bigcup","\\intop","\\prod","\\sum","\\bigotimes","\\bigoplus","\\bigodot","\\bigsqcup","\\smallint","∏","∐","∑","⋀","⋁","⋂","⋃","⨀","⨁","⨂","⨄","⨆"],props:{numArgs:0},handler:(n,t)=>{var{parser:r,funcName:a}=n,s=a;return s.length===1&&(s=singleCharBigOps[s]),{type:"op",mode:r.mode,limits:!0,parentIsSupSub:!1,symbol:!0,name:s}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});defineFunction({type:"op",names:["\\mathop"],props:{numArgs:1,primitive:!0},handler:(n,t)=>{var{parser:r}=n,a=t[0];return{type:"op",mode:r.mode,limits:!1,parentIsSupSub:!1,symbol:!1,body:ordargument(a)}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});var singleCharIntegrals={"∫":"\\int","∬":"\\iint","∭":"\\iiint","∮":"\\oint","∯":"\\oiint","∰":"\\oiiint"};defineFunction({type:"op",names:["\\arcsin","\\arccos","\\arctan","\\arctg","\\arcctg","\\arg","\\ch","\\cos","\\cosec","\\cosh","\\cot","\\cotg","\\coth","\\csc","\\ctg","\\cth","\\deg","\\dim","\\exp","\\hom","\\ker","\\lg","\\ln","\\log","\\sec","\\sin","\\sinh","\\sh","\\tan","\\tanh","\\tg","\\th"],props:{numArgs:0},handler(n){var{parser:t,funcName:r}=n;return{type:"op",mode:t.mode,limits:!1,parentIsSupSub:!1,symbol:!1,name:r}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});defineFunction({type:"op",names:["\\det","\\gcd","\\inf","\\lim","\\max","\\min","\\Pr","\\sup"],props:{numArgs:0},handler(n){var{parser:t,funcName:r}=n;return{type:"op",mode:t.mode,limits:!0,parentIsSupSub:!1,symbol:!1,name:r}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});defineFunction({type:"op",names:["\\int","\\iint","\\iiint","\\oint","\\oiint","\\oiiint","∫","∬","∭","∮","∯","∰"],props:{numArgs:0},handler(n){var{parser:t,funcName:r}=n,a=r;return a.length===1&&(a=singleCharIntegrals[a]),{type:"op",mode:t.mode,limits:!1,parentIsSupSub:!1,symbol:!0,name:a}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});var htmlBuilder$1=(n,t)=>{var r,a,s=!1,l;n.type==="supsub"?(r=n.sup,a=n.sub,l=assertNodeType(n.base,"operatorname"),s=!0):l=assertNodeType(n,"operatorname");var u;if(l.body.length>0){for(var _=l.body.map(x=>{var w=x.text;return typeof w=="string"?{type:"textord",mode:x.mode,text:w}:x}),m=buildExpression$1(_,t.withFont("mathrm"),!0),g=0;g<m.length;g++){var f=m[g];f instanceof SymbolNode&&(f.text=f.text.replace(/\u2212/,"-").replace(/\u2217/,"*"))}u=buildCommon.makeSpan(["mop"],m,t)}else u=buildCommon.makeSpan(["mop"],[],t);return s?assembleSupSub(u,r,a,t,t.style,0,0):u},mathmlBuilder=(n,t)=>{for(var r=buildExpression(n.body,t.withFont("mathrm")),a=!0,s=0;s<r.length;s++){var l=r[s];if(!(l instanceof mathMLTree.SpaceNode))if(l instanceof mathMLTree.MathNode)switch(l.type){case"mi":case"mn":case"ms":case"mspace":case"mtext":break;case"mo":{var u=l.children[0];l.children.length===1&&u instanceof mathMLTree.TextNode?u.text=u.text.replace(/\u2212/,"-").replace(/\u2217/,"*"):a=!1;break}default:a=!1}else a=!1}if(a){var _=r.map(f=>f.toText()).join("");r=[new mathMLTree.TextNode(_)]}var m=new mathMLTree.MathNode("mi",r);m.setAttribute("mathvariant","normal");var g=new mathMLTree.MathNode("mo",[makeText("⁡","text")]);return n.parentIsSupSub?new mathMLTree.MathNode("mrow",[m,g]):mathMLTree.newDocumentFragment([m,g])};defineFunction({type:"operatorname",names:["\\operatorname@","\\operatornamewithlimits"],props:{numArgs:1},handler:(n,t)=>{var{parser:r,funcName:a}=n,s=t[0];return{type:"operatorname",mode:r.mode,body:ordargument(s),alwaysHandleSupSub:a==="\\operatornamewithlimits",limits:!1,parentIsSupSub:!1}},htmlBuilder:htmlBuilder$1,mathmlBuilder});defineMacro("\\operatorname","\\@ifstar\\operatornamewithlimits\\operatorname@");defineFunctionBuilders({type:"ordgroup",htmlBuilder(n,t){return n.semisimple?buildCommon.makeFragment(buildExpression$1(n.body,t,!1)):buildCommon.makeSpan(["mord"],buildExpression$1(n.body,t,!0),t)},mathmlBuilder(n,t){return buildExpressionRow(n.body,t,!0)}});defineFunction({type:"overline",names:["\\overline"],props:{numArgs:1},handler(n,t){var{parser:r}=n,a=t[0];return{type:"overline",mode:r.mode,body:a}},htmlBuilder(n,t){var r=buildGroup$1(n.body,t.havingCrampedStyle()),a=buildCommon.makeLineSpan("overline-line",t),s=t.fontMetrics().defaultRuleThickness,l=buildCommon.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r},{type:"kern",size:3*s},{type:"elem",elem:a},{type:"kern",size:s}]},t);return buildCommon.makeSpan(["mord","overline"],[l],t)},mathmlBuilder(n,t){var r=new mathMLTree.MathNode("mo",[new mathMLTree.TextNode("‾")]);r.setAttribute("stretchy","true");var a=new mathMLTree.MathNode("mover",[buildGroup(n.body,t),r]);return a.setAttribute("accent","true"),a}});defineFunction({type:"phantom",names:["\\phantom"],props:{numArgs:1,allowedInText:!0},handler:(n,t)=>{var{parser:r}=n,a=t[0];return{type:"phantom",mode:r.mode,body:ordargument(a)}},htmlBuilder:(n,t)=>{var r=buildExpression$1(n.body,t.withPhantom(),!1);return buildCommon.makeFragment(r)},mathmlBuilder:(n,t)=>{var r=buildExpression(n.body,t);return new mathMLTree.MathNode("mphantom",r)}});defineFunction({type:"hphantom",names:["\\hphantom"],props:{numArgs:1,allowedInText:!0},handler:(n,t)=>{var{parser:r}=n,a=t[0];return{type:"hphantom",mode:r.mode,body:a}},htmlBuilder:(n,t)=>{var r=buildCommon.makeSpan([],[buildGroup$1(n.body,t.withPhantom())]);if(r.height=0,r.depth=0,r.children)for(var a=0;a<r.children.length;a++)r.children[a].height=0,r.children[a].depth=0;return r=buildCommon.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},t),buildCommon.makeSpan(["mord"],[r],t)},mathmlBuilder:(n,t)=>{var r=buildExpression(ordargument(n.body),t),a=new mathMLTree.MathNode("mphantom",r),s=new mathMLTree.MathNode("mpadded",[a]);return s.setAttribute("height","0px"),s.setAttribute("depth","0px"),s}});defineFunction({type:"vphantom",names:["\\vphantom"],props:{numArgs:1,allowedInText:!0},handler:(n,t)=>{var{parser:r}=n,a=t[0];return{type:"vphantom",mode:r.mode,body:a}},htmlBuilder:(n,t)=>{var r=buildCommon.makeSpan(["inner"],[buildGroup$1(n.body,t.withPhantom())]),a=buildCommon.makeSpan(["fix"],[]);return buildCommon.makeSpan(["mord","rlap"],[r,a],t)},mathmlBuilder:(n,t)=>{var r=buildExpression(ordargument(n.body),t),a=new mathMLTree.MathNode("mphantom",r),s=new mathMLTree.MathNode("mpadded",[a]);return s.setAttribute("width","0px"),s}});defineFunction({type:"raisebox",names:["\\raisebox"],props:{numArgs:2,argTypes:["size","hbox"],allowedInText:!0},handler(n,t){var{parser:r}=n,a=assertNodeType(t[0],"size").value,s=t[1];return{type:"raisebox",mode:r.mode,dy:a,body:s}},htmlBuilder(n,t){var r=buildGroup$1(n.body,t),a=calculateSize(n.dy,t);return buildCommon.makeVList({positionType:"shift",positionData:-a,children:[{type:"elem",elem:r}]},t)},mathmlBuilder(n,t){var r=new mathMLTree.MathNode("mpadded",[buildGroup(n.body,t)]),a=n.dy.number+n.dy.unit;return r.setAttribute("voffset",a),r}});defineFunction({type:"internal",names:["\\relax"],props:{numArgs:0,allowedInText:!0},handler(n){var{parser:t}=n;return{type:"internal",mode:t.mode}}});defineFunction({type:"rule",names:["\\rule"],props:{numArgs:2,numOptionalArgs:1,argTypes:["size","size","size"]},handler(n,t,r){var{parser:a}=n,s=r[0],l=assertNodeType(t[0],"size"),u=assertNodeType(t[1],"size");return{type:"rule",mode:a.mode,shift:s&&assertNodeType(s,"size").value,width:l.value,height:u.value}},htmlBuilder(n,t){var r=buildCommon.makeSpan(["mord","rule"],[],t),a=calculateSize(n.width,t),s=calculateSize(n.height,t),l=n.shift?calculateSize(n.shift,t):0;return r.style.borderRightWidth=makeEm(a),r.style.borderTopWidth=makeEm(s),r.style.bottom=makeEm(l),r.width=a,r.height=s+l,r.depth=-l,r.maxFontSize=s*1.125*t.sizeMultiplier,r},mathmlBuilder(n,t){var r=calculateSize(n.width,t),a=calculateSize(n.height,t),s=n.shift?calculateSize(n.shift,t):0,l=t.color&&t.getColor()||"black",u=new mathMLTree.MathNode("mspace");u.setAttribute("mathbackground",l),u.setAttribute("width",makeEm(r)),u.setAttribute("height",makeEm(a));var _=new mathMLTree.MathNode("mpadded",[u]);return s>=0?_.setAttribute("height",makeEm(s)):(_.setAttribute("height",makeEm(s)),_.setAttribute("depth",makeEm(-s))),_.setAttribute("voffset",makeEm(s)),_}});function sizingGroup(n,t,r){for(var a=buildExpression$1(n,t,!1),s=t.sizeMultiplier/r.sizeMultiplier,l=0;l<a.length;l++){var u=a[l].classes.indexOf("sizing");u<0?Array.prototype.push.apply(a[l].classes,t.sizingClasses(r)):a[l].classes[u+1]==="reset-size"+t.size&&(a[l].classes[u+1]="reset-size"+r.size),a[l].height*=s,a[l].depth*=s}return buildCommon.makeFragment(a)}var sizeFuncs=["\\tiny","\\sixptsize","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"],htmlBuilder=(n,t)=>{var r=t.havingSize(n.size);return 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r;if(n.smashHeight&&(r.height=0,r.children))for(var a=0;a<r.children.length;a++)r.children[a].height=0;if(n.smashDepth&&(r.depth=0,r.children))for(var s=0;s<r.children.length;s++)r.children[s].depth=0;var l=buildCommon.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},t);return buildCommon.makeSpan(["mord"],[l],t)},mathmlBuilder:(n,t)=>{var r=new mathMLTree.MathNode("mpadded",[buildGroup(n.body,t)]);return n.smashHeight&&r.setAttribute("height","0px"),n.smashDepth&&r.setAttribute("depth","0px"),r}});defineFunction({type:"sqrt",names:["\\sqrt"],props:{numArgs:1,numOptionalArgs:1},handler(n,t,r){var{parser:a}=n,s=r[0],l=t[0];return{type:"sqrt",mode:a.mode,body:l,index:s}},htmlBuilder(n,t){var r=buildGroup$1(n.body,t.havingCrampedStyle());r.height===0&&(r.height=t.fontMetrics().xHeight),r=buildCommon.wrapFragment(r,t);var a=t.fontMetrics(),s=a.defaultRuleThickness,l=s;t.style.id<Style$1.TEXT.id&&(l=t.fontMetrics().xHeight);var u=s+l/4,_=r.height+r.depth+u+s,{span:m,ruleWidth:g,advanceWidth:f}=delimiter.sqrtImage(_,t),x=m.height-g;x>r.height+r.depth+u&&(u=(u+x-r.height-r.depth)/2);var w=m.height-r.height-u-g;r.style.paddingLeft=makeEm(f);var Z=buildCommon.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r,wrapperClasses:["svg-align"]},{type:"kern",size:-(r.height+w)},{type:"elem",elem:m},{type:"kern",size:g}]},t);if(n.index){var Ce=t.havingStyle(Style$1.SCRIPTSCRIPT),ne=buildGroup$1(n.index,Ce,t),$e=.6*(Z.height-Z.depth),Ie=buildCommon.makeVList({positionType:"shift",positionData:-$e,children:[{type:"elem",elem:ne}]},t),Dt=buildCommon.makeSpan(["root"],[Ie]);return buildCommon.makeSpan(["mord","sqrt"],[Dt,Z],t)}else return buildCommon.makeSpan(["mord","sqrt"],[Z],t)},mathmlBuilder(n,t){var{body:r,index:a}=n;return a?new mathMLTree.MathNode("mroot",[buildGroup(r,t),buildGroup(a,t)]):new mathMLTree.MathNode("msqrt",[buildGroup(r,t)])}});var styleMap={display:Style$1.DISPLAY,text:Style$1.TEXT,script:Style$1.SCRIPT,scriptscript:Style$1.SCRIPTSCRIPT};defineFunction({type:"styling",names:["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler(n,t){var{breakOnTokenText:r,funcName:a,parser:s}=n,l=s.parseExpression(!0,r),u=a.slice(1,a.length-5);return{type:"styling",mode:s.mode,style:u,body:l}},htmlBuilder(n,t){var r=styleMap[n.style],a=t.havingStyle(r).withFont("");return sizingGroup(n.body,a,t)},mathmlBuilder(n,t){var r=styleMap[n.style],a=t.havingStyle(r),s=buildExpression(n.body,a),l=new mathMLTree.MathNode("mstyle",s),u={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]},_=u[n.style];return l.setAttribute("scriptlevel",_[0]),l.setAttribute("displaystyle",_[1]),l}});var htmlBuilderDelegate=function n(t,r){var a=t.base;if(a)if(a.type==="op"){var s=a.limits&&(r.style.size===Style$1.DISPLAY.size||a.alwaysHandleSupSub);return s?htmlBuilder$2:null}else if(a.type==="operatorname"){var l=a.alwaysHandleSupSub&&(r.style.size===Style$1.DISPLAY.size||a.limits);return l?htmlBuilder$1:null}else{if(a.type==="accent")return utils$2.isCharacterBox(a.base)?htmlBuilder$a:null;if(a.type==="horizBrace"){var u=!t.sub;return u===a.isOver?htmlBuilder$3:null}else return null}else return null};defineFunctionBuilders({type:"supsub",htmlBuilder(n,t){var r=htmlBuilderDelegate(n,t);if(r)return r(n,t);var{base:a,sup:s,sub:l}=n,u=buildGroup$1(a,t),_,m,g=t.fontMetrics(),f=0,x=0,w=a&&utils$2.isCharacterBox(a);if(s){var Z=t.havingStyle(t.style.sup());_=buildGroup$1(s,Z,t),w||(f=u.height-Z.fontMetrics().supDrop*Z.sizeMultiplier/t.sizeMultiplier)}if(l){var Ce=t.havingStyle(t.style.sub());m=buildGroup$1(l,Ce,t),w||(x=u.depth+Ce.fontMetrics().subDrop*Ce.sizeMultiplier/t.sizeMultiplier)}var ne;t.style===Style$1.DISPLAY?ne=g.sup1:t.style.cramped?ne=g.sup3:ne=g.sup2;var $e=t.sizeMultiplier,Ie=makeEm(.5/g.ptPerEm/$e),Dt=null;if(m){var Lr=n.base&&n.base.type==="op"&&n.base.name&&(n.base.name==="\\oiint"||n.base.name==="\\oiiint");(u instanceof SymbolNode||Lr)&&(Dt=makeEm(-u.italic))}var ec;if(_&&m){f=Math.max(f,ne,_.depth+.25*g.xHeight),x=Math.max(x,g.sub2);var ys=g.defaultRuleThickness,tc=4*ys;if(f-_.depth-(m.height-x)<tc){x=tc-(f-_.depth)+m.height;var nc=.8*g.xHeight-(f-_.depth);nc>0&&(f+=nc,x-=nc)}var ac=[{type:"elem",elem:m,shift:x,marginRight:Ie,marginLeft:Dt},{type:"elem",elem:_,shift:-f,marginRight:Ie}];ec=buildCommon.makeVList({positionType:"individualShift",children:ac},t)}else if(m){x=Math.max(x,g.sub1,m.height-.8*g.xHeight);var sc=[{type:"elem",elem:m,marginLeft:Dt,marginRight:Ie}];ec=buildCommon.makeVList({positionType:"shift",positionData:x,children:sc},t)}else if(_)f=Math.max(f,ne,_.depth+.25*g.xHeight),ec=buildCommon.makeVList({positionType:"shift",positionData:-f,children:[{type:"elem",elem:_,marginRight:Ie}]},t);else throw new Error("supsub must have either sup or sub.");var cc=getTypeOfDomTree(u,"right")||"mord";return buildCommon.makeSpan([cc],[u,buildCommon.makeSpan(["msupsub"],[ec])],t)},mathmlBuilder(n,t){var r=!1,a,s;n.base&&n.base.type==="horizBrace"&&(s=!!n.sup,s===n.base.isOver&&(r=!0,a=n.base.isOver)),n.base&&(n.base.type==="op"||n.base.type==="operatorname")&&(n.base.parentIsSupSub=!0);var l=[buildGroup(n.base,t)];n.sub&&l.push(buildGroup(n.sub,t)),n.sup&&l.push(buildGroup(n.sup,t));var u;if(r)u=a?"mover":"munder";else if(n.sub)if(n.sup){var g=n.base;g&&g.type==="op"&&g.limits&&t.style===Style$1.DISPLAY||g&&g.type==="operatorname"&&g.alwaysHandleSupSub&&(t.style===Style$1.DISPLAY||g.limits)?u="munderover":u="msubsup"}else{var m=n.base;m&&m.type==="op"&&m.limits&&(t.style===Style$1.DISPLAY||m.alwaysHandleSupSub)||m&&m.type==="operatorname"&&m.alwaysHandleSupSub&&(m.limits||t.style===Style$1.DISPLAY)?u="munder":u="msub"}else{var _=n.base;_&&_.type==="op"&&_.limits&&(t.style===Style$1.DISPLAY||_.alwaysHandleSupSub)||_&&_.type==="operatorname"&&_.alwaysHandleSupSub&&(_.limits||t.style===Style$1.DISPLAY)?u="mover":u="msup"}return new mathMLTree.MathNode(u,l)}});defineFunctionBuilders({type:"atom",htmlBuilder(n,t){return buildCommon.mathsym(n.text,n.mode,t,["m"+n.family])},mathmlBuilder(n,t){var r=new mathMLTree.MathNode("mo",[makeText(n.text,n.mode)]);if(n.family==="bin"){var a=getVariant(n,t);a==="bold-italic"&&r.setAttribute("mathvariant",a)}else n.family==="punct"?r.setAttribute("separator","true"):(n.family==="open"||n.family==="close")&&r.setAttribute("stretchy","false");return r}});var defaultVariant={mi:"italic",mn:"normal",mtext:"normal"};defineFunctionBuilders({type:"mathord",htmlBuilder(n,t){return buildCommon.makeOrd(n,t,"mathord")},mathmlBuilder(n,t){var r=new mathMLTree.MathNode("mi",[makeText(n.text,n.mode,t)]),a=getVariant(n,t)||"italic";return a!==defaultVariant[r.type]&&r.setAttribute("mathvariant",a),r}});defineFunctionBuilders({type:"textord",htmlBuilder(n,t){return buildCommon.makeOrd(n,t,"textord")},mathmlBuilder(n,t){var r=makeText(n.text,n.mode,t),a=getVariant(n,t)||"normal",s;return n.mode==="text"?s=new mathMLTree.MathNode("mtext",[r]):/[0-9]/.test(n.text)?s=new mathMLTree.MathNode("mn",[r]):n.text==="\\prime"?s=new mathMLTree.MathNode("mo",[r]):s=new mathMLTree.MathNode("mi",[r]),a!==defaultVariant[s.type]&&s.setAttribute("mathvariant",a),s}});var cssSpace={"\\nobreak":"nobreak","\\allowbreak":"allowbreak"},regularSpace={" ":{},"\\ ":{},"~":{className:"nobreak"},"\\space":{},"\\nobreakspace":{className:"nobreak"}};defineFunctionBuilders({type:"spacing",htmlBuilder(n,t){if(regularSpace.hasOwnProperty(n.text)){var 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a.setAttribute("accentunder","true"),a}});defineFunction({type:"vcenter",names:["\\vcenter"],props:{numArgs:1,argTypes:["original"],allowedInText:!1},handler(n,t){var{parser:r}=n;return{type:"vcenter",mode:r.mode,body:t[0]}},htmlBuilder(n,t){var r=buildGroup$1(n.body,t),a=t.fontMetrics().axisHeight,s=.5*(r.height-a-(r.depth+a));return buildCommon.makeVList({positionType:"shift",positionData:s,children:[{type:"elem",elem:r}]},t)},mathmlBuilder(n,t){return new mathMLTree.MathNode("mpadded",[buildGroup(n.body,t)],["vcenter"])}});defineFunction({type:"verb",names:["\\verb"],props:{numArgs:0,allowedInText:!0},handler(n,t,r){throw new ParseError("\\verb ended by end of line instead of matching delimiter")},htmlBuilder(n,t){for(var r=makeVerb(n),a=[],s=t.havingStyle(t.style.text()),l=0;l<r.length;l++){var u=r[l];u==="~"&&(u="\\textasciitilde"),a.push(buildCommon.makeSymbol(u,"Typewriter-Regular",n.mode,s,["mord","texttt"]))}return buildCommon.makeSpan(["mord","text"].concat(s.sizingClasses(t)),buildCommon.tryCombineChars(a),s)},mathmlBuilder(n,t){var r=new mathMLTree.TextNode(makeVerb(n)),a=new mathMLTree.MathNode("mtext",[r]);return a.setAttribute("mathvariant","monospace"),a}});var makeVerb=n=>n.body.replace(/ /g,n.star?"␣":" "),functions=_functions,spaceRegexString=`[ \r
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|[ \r	]+
?)[ \r	]*`,combiningDiacriticalMarkString="[̀-ͯ]",combiningDiacriticalMarksEndRegex=new RegExp(combiningDiacriticalMarkString+"+$"),tokenRegexString="("+spaceRegexString+"+)|"+(controlSpaceRegexString+"|")+"([!-\\[\\]-‧‪-퟿豈-￿]"+(combiningDiacriticalMarkString+"*")+"|[\uD800-\uDBFF][\uDC00-\uDFFF]"+(combiningDiacriticalMarkString+"*")+"|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5"+("|"+controlWordWhitespaceRegexString)+("|"+controlSymbolRegexString+")");class Lexer{constructor(t,r){this.input=void 0,this.settings=void 0,this.tokenRegex=void 0,this.catcodes=void 0,this.input=t,this.settings=r,this.tokenRegex=new RegExp(tokenRegexString,"g"),this.catcodes={"%":14,"~":13}}setCatcode(t,r){this.catcodes[t]=r}lex(){var t=this.input,r=this.tokenRegex.lastIndex;if(r===t.length)return new Token("EOF",new SourceLocation(this,r,r));var a=this.tokenRegex.exec(t);if(a===null||a.index!==r)throw new ParseError("Unexpected character: '"+t[r]+"'",new Token(t[r],new SourceLocation(this,r,r+1)));var s=a[6]||a[3]||(a[2]?"\\ ":" ");if(this.catcodes[s]===14){var l=t.indexOf(`
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this.current.hasOwnProperty(t)||this.builtins.hasOwnProperty(t)}get(t){return this.current.hasOwnProperty(t)?this.current[t]:this.builtins[t]}set(t,r,a){if(a===void 0&&(a=!1),a){for(var s=0;s<this.undefStack.length;s++)delete this.undefStack[s][t];this.undefStack.length>0&&(this.undefStack[this.undefStack.length-1][t]=r)}else{var l=this.undefStack[this.undefStack.length-1];l&&!l.hasOwnProperty(t)&&(l[t]=this.current[t])}r==null?delete this.current[t]:this.current[t]=r}}var macros=_macros;defineMacro("\\noexpand",function(n){var t=n.popToken();return n.isExpandable(t.text)&&(t.noexpand=!0,t.treatAsRelax=!0),{tokens:[t],numArgs:0}});defineMacro("\\expandafter",function(n){var t=n.popToken();return n.expandOnce(!0),{tokens:[t],numArgs:0}});defineMacro("\\@firstoftwo",function(n){var t=n.consumeArgs(2);return{tokens:t[0],numArgs:0}});defineMacro("\\@secondoftwo",function(n){var t=n.consumeArgs(2);return{tokens:t[1],numArgs:0}});defineMacro("\\@ifnextchar",function(n){var t=n.consumeArgs(3);n.consumeSpaces();var r=n.future();return t[0].length===1&&t[0][0].text===r.text?{tokens:t[1],numArgs:0}:{tokens:t[2],numArgs:0}});defineMacro("\\@ifstar","\\@ifnextchar *{\\@firstoftwo{#1}}");defineMacro("\\TextOrMath",function(n){var t=n.consumeArgs(2);return n.mode==="text"?{tokens:t[0],numArgs:0}:{tokens:t[1],numArgs:0}});var digitToNumber={0:0,1:1,2:2,3:3,4:4,5:5,6:6,7:7,8:8,9:9,a:10,A:10,b:11,B:11,c:12,C:12,d:13,D:13,e:14,E:14,f:15,F:15};defineMacro("\\char",function(n){var t=n.popToken(),r,a="";if(t.text==="'")r=8,t=n.popToken();else if(t.text==='"')r=16,t=n.popToken();else if(t.text==="`")if(t=n.popToken(),t.text[0]==="\\")a=t.text.charCodeAt(1);else{if(t.text==="EOF")throw new ParseError("\\char` missing argument");a=t.text.charCodeAt(0)}else r=10;if(r){if(a=digitToNumber[t.text],a==null||a>=r)throw new ParseError("Invalid base-"+r+" digit "+t.text);for(var s;(s=digitToNumber[n.future().text])!=null&&s<r;)a*=r,a+=s,n.popToken()}return"\\@char{"+a+"}"});var newcommand=(n,t,r)=>{var a=n.consumeArg().tokens;if(a.length!==1)throw new ParseError("\\newcommand's first argument must be a macro name");var s=a[0].text,l=n.isDefined(s);if(l&&!t)throw new ParseError("\\newcommand{"+s+"} attempting to redefine "+(s+"; use \\renewcommand"));if(!l&&!r)throw new ParseError("\\renewcommand{"+s+"} when command "+s+" does not yet exist; use \\newcommand");var u=0;if(a=n.consumeArg().tokens,a.length===1&&a[0].text==="["){for(var _="",m=n.expandNextToken();m.text!=="]"&&m.text!=="EOF";)_+=m.text,m=n.expandNextToken();if(!_.match(/^\s*[0-9]+\s*$/))throw new ParseError("Invalid number of arguments: "+_);u=parseInt(_),a=n.consumeArg().tokens}return n.macros.set(s,{tokens:a,numArgs:u}),""};defineMacro("\\newcommand",n=>newcommand(n,!1,!0));defineMacro("\\renewcommand",n=>newcommand(n,!0,!1));defineMacro("\\providecommand",n=>newcommand(n,!0,!0));defineMacro("\\message",n=>{var t=n.consumeArgs(1)[0];return console.log(t.reverse().map(r=>r.text).join("")),""});defineMacro("\\errmessage",n=>{var t=n.consumeArgs(1)[0];return console.error(t.reverse().map(r=>r.text).join("")),""});defineMacro("\\show",n=>{var t=n.popToken(),r=t.text;return console.log(t,n.macros.get(r),functions[r],symbols.math[r],symbols.text[r]),""});defineMacro("\\bgroup","{");defineMacro("\\egroup","}");defineMacro("~","\\nobreakspace");defineMacro("\\lq","`");defineMacro("\\rq","'");defineMacro("\\aa","\\r a");defineMacro("\\AA","\\r A");defineMacro("\\textcopyright","\\html@mathml{\\textcircled{c}}{\\char`©}");defineMacro("\\copyright","\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}");defineMacro("\\textregistered","\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}");defineMacro("ℬ","\\mathscr{B}");defineMacro("ℰ","\\mathscr{E}");defineMacro("ℱ","\\mathscr{F}");defineMacro("ℋ","\\mathscr{H}");defineMacro("ℐ","\\mathscr{I}");defineMacro("ℒ","\\mathscr{L}");defineMacro("ℳ","\\mathscr{M}");defineMacro("ℛ","\\mathscr{R}");defineMacro("ℭ","\\mathfrak{C}");defineMacro("ℌ","\\mathfrak{H}");defineMacro("ℨ","\\mathfrak{Z}");defineMacro("\\Bbbk","\\Bbb{k}");defineMacro("·","\\cdotp");defineMacro("\\llap","\\mathllap{\\textrm{#1}}");defineMacro("\\rlap","\\mathrlap{\\textrm{#1}}");defineMacro("\\clap","\\mathclap{\\textrm{#1}}");defineMacro("\\mathstrut","\\vphantom{(}");defineMacro("\\underbar","\\underline{\\text{#1}}");defineMacro("\\not",'\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}');defineMacro("\\neq","\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}");defineMacro("\\ne","\\neq");defineMacro("≠","\\neq");defineMacro("\\notin","\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}{\\mathrel{\\char`∉}}");defineMacro("∉","\\notin");defineMacro("≘","\\html@mathml{\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}}{\\mathrel{\\char`≘}}");defineMacro("≙","\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`≘}}");defineMacro("≚","\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`≚}}");defineMacro("≛","\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}{\\mathrel{\\char`≛}}");defineMacro("≝","\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}{\\mathrel{\\char`≝}}");defineMacro("≞","\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}{\\mathrel{\\char`≞}}");defineMacro("≟","\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`≟}}");defineMacro("⟂","\\perp");defineMacro("‼","\\mathclose{!\\mkern-0.8mu!}");defineMacro("∌","\\notni");defineMacro("⌜","\\ulcorner");defineMacro("⌝","\\urcorner");defineMacro("⌞","\\llcorner");defineMacro("⌟","\\lrcorner");defineMacro("©","\\copyright");defineMacro("®","\\textregistered");defineMacro("️","\\textregistered");defineMacro("\\ulcorner",'\\html@mathml{\\@ulcorner}{\\mathop{\\char"231c}}');defineMacro("\\urcorner",'\\html@mathml{\\@urcorner}{\\mathop{\\char"231d}}');defineMacro("\\llcorner",'\\html@mathml{\\@llcorner}{\\mathop{\\char"231e}}');defineMacro("\\lrcorner",'\\html@mathml{\\@lrcorner}{\\mathop{\\char"231f}}');defineMacro("\\vdots","\\mathord{\\varvdots\\rule{0pt}{15pt}}");defineMacro("⋮","\\vdots");defineMacro("\\varGamma","\\mathit{\\Gamma}");defineMacro("\\varDelta","\\mathit{\\Delta}");defineMacro("\\varTheta","\\mathit{\\Theta}");defineMacro("\\varLambda","\\mathit{\\Lambda}");defineMacro("\\varXi","\\mathit{\\Xi}");defineMacro("\\varPi","\\mathit{\\Pi}");defineMacro("\\varSigma","\\mathit{\\Sigma}");defineMacro("\\varUpsilon","\\mathit{\\Upsilon}");defineMacro("\\varPhi","\\mathit{\\Phi}");defineMacro("\\varPsi","\\mathit{\\Psi}");defineMacro("\\varOmega","\\mathit{\\Omega}");defineMacro("\\substack","\\begin{subarray}{c}#1\\end{subarray}");defineMacro("\\colon","\\nobreak\\mskip2mu\\mathpunct{}\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu\\relax");defineMacro("\\boxed","\\fbox{$\\displaystyle{#1}$}");defineMacro("\\iff","\\DOTSB\\;\\Longleftrightarrow\\;");defineMacro("\\implies","\\DOTSB\\;\\Longrightarrow\\;");defineMacro("\\impliedby","\\DOTSB\\;\\Longleftarrow\\;");var 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t="\\dotso",r=n.expandAfterFuture().text;return r in dotsByToken?t=dotsByToken[r]:(r.slice(0,4)==="\\not"||r in symbols.math&&utils$2.contains(["bin","rel"],symbols.math[r].group))&&(t="\\dotsb"),t});var spaceAfterDots={")":!0,"]":!0,"\\rbrack":!0,"\\}":!0,"\\rbrace":!0,"\\rangle":!0,"\\rceil":!0,"\\rfloor":!0,"\\rgroup":!0,"\\rmoustache":!0,"\\right":!0,"\\bigr":!0,"\\biggr":!0,"\\Bigr":!0,"\\Biggr":!0,$:!0,";":!0,".":!0,",":!0};defineMacro("\\dotso",function(n){var t=n.future().text;return t in spaceAfterDots?"\\ldots\\,":"\\ldots"});defineMacro("\\dotsc",function(n){var t=n.future().text;return t in spaceAfterDots&&t!==","?"\\ldots\\,":"\\ldots"});defineMacro("\\cdots",function(n){var t=n.future().text;return t in spaceAfterDots?"\\@cdots\\,":"\\@cdots"});defineMacro("\\dotsb","\\cdots");defineMacro("\\dotsm","\\cdots");defineMacro("\\dotsi","\\!\\cdots");defineMacro("\\dotsx","\\ldots\\,");defineMacro("\\DOTSI","\\relax");defineMacro("\\DOTSB","\\relax");defineMacro("\\DOTSX","\\relax");defineMacro("\\tmspace","\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax");defineMacro("\\,","\\tmspace+{3mu}{.1667em}");defineMacro("\\thinspace","\\,");defineMacro("\\>","\\mskip{4mu}");defineMacro("\\:","\\tmspace+{4mu}{.2222em}");defineMacro("\\medspace","\\:");defineMacro("\\;","\\tmspace+{5mu}{.2777em}");defineMacro("\\thickspace","\\;");defineMacro("\\!","\\tmspace-{3mu}{.1667em}");defineMacro("\\negthinspace","\\!");defineMacro("\\negmedspace","\\tmspace-{4mu}{.2222em}");defineMacro("\\negthickspace","\\tmspace-{5mu}{.277em}");defineMacro("\\enspace","\\kern.5em ");defineMacro("\\enskip","\\hskip.5em\\relax");defineMacro("\\quad","\\hskip1em\\relax");defineMacro("\\qquad","\\hskip2em\\relax");defineMacro("\\tag","\\@ifstar\\tag@literal\\tag@paren");defineMacro("\\tag@paren","\\tag@literal{({#1})}");defineMacro("\\tag@literal",n=>{if(n.macros.get("\\df@tag"))throw new ParseError("Multiple \\tag");return"\\gdef\\df@tag{\\text{#1}}"});defineMacro("\\bmod","\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}");defineMacro("\\pod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)");defineMacro("\\pmod","\\pod{{\\rm mod}\\mkern6mu#1}");defineMacro("\\mod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1");defineMacro("\\newline","\\\\\\relax");defineMacro("\\TeX","\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}");var latexRaiseA=makeEm(fontMetricsData["Main-Regular"][84][1]-.7*fontMetricsData["Main-Regular"][65][1]);defineMacro("\\LaTeX","\\textrm{\\html@mathml{"+("L\\kern-.36em\\raisebox{"+latexRaiseA+"}{\\scriptstyle A}")+"\\kern-.15em\\TeX}{LaTeX}}");defineMacro("\\KaTeX","\\textrm{\\html@mathml{"+("K\\kern-.17em\\raisebox{"+latexRaiseA+"}{\\scriptstyle A}")+"\\kern-.15em\\TeX}{KaTeX}}");defineMacro("\\hspace","\\@ifstar\\@hspacer\\@hspace");defineMacro("\\@hspace","\\hskip #1\\relax");defineMacro("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax");defineMacro("\\ordinarycolon",":");defineMacro("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}");defineMacro("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}');defineMacro("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}');defineMacro("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}');defineMacro("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}');defineMacro("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}');defineMacro("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}');defineMacro("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}');defineMacro("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}');defineMacro("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}');defineMacro("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}');defineMacro("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}');defineMacro("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}');defineMacro("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}');defineMacro("∷","\\dblcolon");defineMacro("∹","\\eqcolon");defineMacro("≔","\\coloneqq");defineMacro("≕","\\eqqcolon");defineMacro("⩴","\\Coloneqq");defineMacro("\\ratio","\\vcentcolon");defineMacro("\\coloncolon","\\dblcolon");defineMacro("\\colonequals","\\coloneqq");defineMacro("\\coloncolonequals","\\Coloneqq");defineMacro("\\equalscolon","\\eqqcolon");defineMacro("\\equalscoloncolon","\\Eqqcolon");defineMacro("\\colonminus","\\coloneq");defineMacro("\\coloncolonminus","\\Coloneq");defineMacro("\\minuscolon","\\eqcolon");defineMacro("\\minuscoloncolon","\\Eqcolon");defineMacro("\\coloncolonapprox","\\Colonapprox");defineMacro("\\coloncolonsim","\\Colonsim");defineMacro("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");defineMacro("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");defineMacro("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");defineMacro("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}");defineMacro("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`∌}}");defineMacro("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}");defineMacro("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}");defineMacro("\\injlim","\\DOTSB\\operatorname*{inj\\,lim}");defineMacro("\\projlim","\\DOTSB\\operatorname*{proj\\,lim}");defineMacro("\\varlimsup","\\DOTSB\\operatorname*{\\overline{lim}}");defineMacro("\\varliminf","\\DOTSB\\operatorname*{\\underline{lim}}");defineMacro("\\varinjlim","\\DOTSB\\operatorname*{\\underrightarrow{lim}}");defineMacro("\\varprojlim","\\DOTSB\\operatorname*{\\underleftarrow{lim}}");defineMacro("\\gvertneqq","\\html@mathml{\\@gvertneqq}{≩}");defineMacro("\\lvertneqq","\\html@mathml{\\@lvertneqq}{≨}");defineMacro("\\ngeqq","\\html@mathml{\\@ngeqq}{≱}");defineMacro("\\ngeqslant","\\html@mathml{\\@ngeqslant}{≱}");defineMacro("\\nleqq","\\html@mathml{\\@nleqq}{≰}");defineMacro("\\nleqslant","\\html@mathml{\\@nleqslant}{≰}");defineMacro("\\nshortmid","\\html@mathml{\\@nshortmid}{∤}");defineMacro("\\nshortparallel","\\html@mathml{\\@nshortparallel}{∦}");defineMacro("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{⊈}");defineMacro("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{⊉}");defineMacro("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{⊊}");defineMacro("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{⫋}");defineMacro("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{⊋}");defineMacro("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{⫌}");defineMacro("\\imath","\\html@mathml{\\@imath}{ı}");defineMacro("\\jmath","\\html@mathml{\\@jmath}{ȷ}");defineMacro("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`⟦}}");defineMacro("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`⟧}}");defineMacro("⟦","\\llbracket");defineMacro("⟧","\\rrbracket");defineMacro("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`⦃}}");defineMacro("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`⦄}}");defineMacro("⦃","\\lBrace");defineMacro("⦄","\\rBrace");defineMacro("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`⦵}}");defineMacro("⦵","\\minuso");defineMacro("\\darr","\\downarrow");defineMacro("\\dArr","\\Downarrow");defineMacro("\\Darr","\\Downarrow");defineMacro("\\lang","\\langle");defineMacro("\\rang","\\rangle");defineMacro("\\uarr","\\uparrow");defineMacro("\\uArr","\\Uparrow");defineMacro("\\Uarr","\\Uparrow");defineMacro("\\N","\\mathbb{N}");defineMacro("\\R","\\mathbb{R}");defineMacro("\\Z","\\mathbb{Z}");defineMacro("\\alef","\\aleph");defineMacro("\\alefsym","\\aleph");defineMacro("\\Alpha","\\mathrm{A}");defineMacro("\\Beta","\\mathrm{B}");defineMacro("\\bull","\\bullet");defineMacro("\\Chi","\\mathrm{X}");defineMacro("\\clubs","\\clubsuit");defineMacro("\\cnums","\\mathbb{C}");defineMacro("\\Complex","\\mathbb{C}");defineMacro("\\Dagger","\\ddagger");defineMacro("\\diamonds","\\diamondsuit");defineMacro("\\empty","\\emptyset");defineMacro("\\Epsilon","\\mathrm{E}");defineMacro("\\Eta","\\mathrm{H}");defineMacro("\\exist","\\exists");defineMacro("\\harr","\\leftrightarrow");defineMacro("\\hArr","\\Leftrightarrow");defineMacro("\\Harr","\\Leftrightarrow");defineMacro("\\hearts","\\heartsuit");defineMacro("\\image","\\Im");defineMacro("\\infin","\\infty");defineMacro("\\Iota","\\mathrm{I}");defineMacro("\\isin","\\in");defineMacro("\\Kappa","\\mathrm{K}");defineMacro("\\larr","\\leftarrow");defineMacro("\\lArr","\\Leftarrow");defineMacro("\\Larr","\\Leftarrow");defineMacro("\\lrarr","\\leftrightarrow");defineMacro("\\lrArr","\\Leftrightarrow");defineMacro("\\Lrarr","\\Leftrightarrow");defineMacro("\\Mu","\\mathrm{M}");defineMacro("\\natnums","\\mathbb{N}");defineMacro("\\Nu","\\mathrm{N}");defineMacro("\\Omicron","\\mathrm{O}");defineMacro("\\plusmn","\\pm");defineMacro("\\rarr","\\rightarrow");defineMacro("\\rArr","\\Rightarrow");defineMacro("\\Rarr","\\Rightarrow");defineMacro("\\real","\\Re");defineMacro("\\reals","\\mathbb{R}");defineMacro("\\Reals","\\mathbb{R}");defineMacro("\\Rho","\\mathrm{P}");defineMacro("\\sdot","\\cdot");defineMacro("\\sect","\\S");defineMacro("\\spades","\\spadesuit");defineMacro("\\sub","\\subset");defineMacro("\\sube","\\subseteq");defineMacro("\\supe","\\supseteq");defineMacro("\\Tau","\\mathrm{T}");defineMacro("\\thetasym","\\vartheta");defineMacro("\\weierp","\\wp");defineMacro("\\Zeta","\\mathrm{Z}");defineMacro("\\argmin","\\DOTSB\\operatorname*{arg\\,min}");defineMacro("\\argmax","\\DOTSB\\operatorname*{arg\\,max}");defineMacro("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits");defineMacro("\\bra","\\mathinner{\\langle{#1}|}");defineMacro("\\ket","\\mathinner{|{#1}\\rangle}");defineMacro("\\braket","\\mathinner{\\langle{#1}\\rangle}");defineMacro("\\Bra","\\left\\langle#1\\right|");defineMacro("\\Ket","\\left|#1\\right\\rangle");var braketHelper=n=>t=>{var r=t.consumeArg().tokens,a=t.consumeArg().tokens,s=t.consumeArg().tokens,l=t.consumeArg().tokens,u=t.macros.get("|"),_=t.macros.get("\\|");t.macros.beginGroup();var m=x=>w=>{n&&(w.macros.set("|",u),s.length&&w.macros.set("\\|",_));var Z=x;if(!x&&s.length){var Ce=w.future();Ce.text==="|"&&(w.popToken(),Z=!0)}return{tokens:Z?s:a,numArgs:0}};t.macros.set("|",m(!1)),s.length&&t.macros.set("\\|",m(!0));var g=t.consumeArg().tokens,f=t.expandTokens([...l,...g,...r]);return t.macros.endGroup(),{tokens:f.reverse(),numArgs:0}};defineMacro("\\bra@ket",braketHelper(!1));defineMacro("\\bra@set",braketHelper(!0));defineMacro("\\Braket","\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}");defineMacro("\\Set","\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}");defineMacro("\\set","\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}");defineMacro("\\angln","{\\angl n}");defineMacro("\\blue","\\textcolor{##6495ed}{#1}");defineMacro("\\orange","\\textcolor{##ffa500}{#1}");defineMacro("\\pink","\\textcolor{##ff00af}{#1}");defineMacro("\\red","\\textcolor{##df0030}{#1}");defineMacro("\\green","\\textcolor{##28ae7b}{#1}");defineMacro("\\gray","\\textcolor{gray}{#1}");defineMacro("\\purple","\\textcolor{##9d38bd}{#1}");defineMacro("\\blueA","\\textcolor{##ccfaff}{#1}");defineMacro("\\blueB","\\textcolor{##80f6ff}{#1}");defineMacro("\\blueC","\\textcolor{##63d9ea}{#1}");defineMacro("\\blueD","\\textcolor{##11accd}{#1}");defineMacro("\\blueE","\\textcolor{##0c7f99}{#1}");defineMacro("\\tealA","\\textcolor{##94fff5}{#1}");defineMacro("\\tealB","\\textcolor{##26edd5}{#1}");defineMacro("\\tealC","\\textcolor{##01d1c1}{#1}");defineMacro("\\tealD","\\textcolor{##01a995}{#1}");defineMacro("\\tealE","\\textcolor{##208170}{#1}");defineMacro("\\greenA","\\textcolor{##b6ffb0}{#1}");defineMacro("\\greenB","\\textcolor{##8af281}{#1}");defineMacro("\\greenC","\\textcolor{##74cf70}{#1}");defineMacro("\\greenD","\\textcolor{##1fab54}{#1}");defineMacro("\\greenE","\\textcolor{##0d923f}{#1}");defineMacro("\\goldA","\\textcolor{##ffd0a9}{#1}");defineMacro("\\goldB","\\textcolor{##ffbb71}{#1}");defineMacro("\\goldC","\\textcolor{##ff9c39}{#1}");defineMacro("\\goldD","\\textcolor{##e07d10}{#1}");defineMacro("\\goldE","\\textcolor{##a75a05}{#1}");defineMacro("\\redA","\\textcolor{##fca9a9}{#1}");defineMacro("\\redB","\\textcolor{##ff8482}{#1}");defineMacro("\\redC","\\textcolor{##f9685d}{#1}");defineMacro("\\redD","\\textcolor{##e84d39}{#1}");defineMacro("\\redE","\\textcolor{##bc2612}{#1}");defineMacro("\\maroonA","\\textcolor{##ffbde0}{#1}");defineMacro("\\maroonB","\\textcolor{##ff92c6}{#1}");defineMacro("\\maroonC","\\textcolor{##ed5fa6}{#1}");defineMacro("\\maroonD","\\textcolor{##ca337c}{#1}");defineMacro("\\maroonE","\\textcolor{##9e034e}{#1}");defineMacro("\\purpleA","\\textcolor{##ddd7ff}{#1}");defineMacro("\\purpleB","\\textcolor{##c6b9fc}{#1}");defineMacro("\\purpleC","\\textcolor{##aa87ff}{#1}");defineMacro("\\purpleD","\\textcolor{##7854ab}{#1}");defineMacro("\\purpleE","\\textcolor{##543b78}{#1}");defineMacro("\\mintA","\\textcolor{##f5f9e8}{#1}");defineMacro("\\mintB","\\textcolor{##edf2df}{#1}");defineMacro("\\mintC","\\textcolor{##e0e5cc}{#1}");defineMacro("\\grayA","\\textcolor{##f6f7f7}{#1}");defineMacro("\\grayB","\\textcolor{##f0f1f2}{#1}");defineMacro("\\grayC","\\textcolor{##e3e5e6}{#1}");defineMacro("\\grayD","\\textcolor{##d6d8da}{#1}");defineMacro("\\grayE","\\textcolor{##babec2}{#1}");defineMacro("\\grayF","\\textcolor{##888d93}{#1}");defineMacro("\\grayG","\\textcolor{##626569}{#1}");defineMacro("\\grayH","\\textcolor{##3b3e40}{#1}");defineMacro("\\grayI","\\textcolor{##21242c}{#1}");defineMacro("\\kaBlue","\\textcolor{##314453}{#1}");defineMacro("\\kaGreen","\\textcolor{##71B307}{#1}");var implicitCommands={"^":!0,_:!0,"\\limits":!0,"\\nolimits":!0};class MacroExpander{constructor(t,r,a){this.settings=void 0,this.expansionCount=void 0,this.lexer=void 0,this.macros=void 0,this.stack=void 0,this.mode=void 0,this.settings=r,this.expansionCount=0,this.feed(t),this.macros=new Namespace(macros,r.macros),this.mode=a,this.stack=[]}feed(t){this.lexer=new Lexer(t,this.settings)}switchMode(t){this.mode=t}beginGroup(){this.macros.beginGroup()}endGroup(){this.macros.endGroup()}endGroups(){this.macros.endGroups()}future(){return this.stack.length===0&&this.pushToken(this.lexer.lex()),this.stack[this.stack.length-1]}popToken(){return this.future(),this.stack.pop()}pushToken(t){this.stack.push(t)}pushTokens(t){this.stack.push(...t)}scanArgument(t){var r,a,s;if(t){if(this.consumeSpaces(),this.future().text!=="[")return null;r=this.popToken(),{tokens:s,end:a}=this.consumeArg(["]"])}else({tokens:s,start:r,end:a}=this.consumeArg());return this.pushToken(new Token("EOF",a.loc)),this.pushTokens(s),r.range(a,"")}consumeSpaces(){for(;;){var t=this.future();if(t.text===" ")this.stack.pop();else break}}consumeArg(t){var r=[],a=t&&t.length>0;a||this.consumeSpaces();var s=this.future(),l,u=0,_=0;do{if(l=this.popToken(),r.push(l),l.text==="{")++u;else if(l.text==="}"){if(--u,u===-1)throw new ParseError("Extra }",l)}else if(l.text==="EOF")throw new ParseError("Unexpected end of input in a macro argument, expected '"+(t&&a?t[_]:"}")+"'",l);if(t&&a)if((u===0||u===1&&t[_]==="{")&&l.text===t[_]){if(++_,_===t.length){r.splice(-_,_);break}}else _=0}while(u!==0||a);return s.text==="{"&&r[r.length-1].text==="}"&&(r.pop(),r.shift()),r.reverse(),{tokens:r,start:s,end:l}}consumeArgs(t,r){if(r){if(r.length!==t+1)throw new ParseError("The length of delimiters doesn't match the number of args!");for(var a=r[0],s=0;s<a.length;s++){var l=this.popToken();if(a[s]!==l.text)throw new ParseError("Use of the macro doesn't match its definition",l)}}for(var u=[],_=0;_<t;_++)u.push(this.consumeArg(r&&r[_+1]).tokens);return u}expandOnce(t){var r=this.popToken(),a=r.text,s=r.noexpand?null:this._getExpansion(a);if(s==null||t&&s.unexpandable){if(t&&s==null&&a[0]==="\\"&&!this.isDefined(a))throw new ParseError("Undefined control sequence: "+a);return this.pushToken(r),!1}if(this.expansionCount++,this.expansionCount>this.settings.maxExpand)throw new ParseError("Too many expansions: infinite loop or need to increase maxExpand setting");var l=s.tokens,u=this.consumeArgs(s.numArgs,s.delimiters);if(s.numArgs){l=l.slice();for(var _=l.length-1;_>=0;--_){var m=l[_];if(m.text==="#"){if(_===0)throw new ParseError("Incomplete placeholder at end of macro body",m);if(m=l[--_],m.text==="#")l.splice(_+1,1);else if(/^[1-9]$/.test(m.text))l.splice(_,2,...u[+m.text-1]);else throw new ParseError("Not a valid argument number",m)}}}return this.pushTokens(l),l.length}expandAfterFuture(){return this.expandOnce(),this.future()}expandNextToken(){for(;;)if(this.expandOnce()===!1){var t=this.stack.pop();return t.treatAsRelax&&(t.text="\\relax"),t}throw new Error}expandMacro(t){return this.macros.has(t)?this.expandTokens([new Token(t)]):void 0}expandTokens(t){var r=[],a=this.stack.length;for(this.pushTokens(t);this.stack.length>a;)if(this.expandOnce(!0)===!1){var s=this.stack.pop();s.treatAsRelax&&(s.noexpand=!1,s.treatAsRelax=!1),r.push(s)}return r}expandMacroAsText(t){var r=this.expandMacro(t);return r&&r.map(a=>a.text).join("")}_getExpansion(t){var r=this.macros.get(t);if(r==null)return r;if(t.length===1){var a=this.lexer.catcodes[t];if(a!=null&&a!==13)return}var s=typeof r=="function"?r(this):r;if(typeof s=="string"){var l=0;if(s.indexOf("#")!==-1)for(var u=s.replace(/##/g,"");u.indexOf("#"+(l+1))!==-1;)++l;for(var _=new Lexer(s,this.settings),m=[],g=_.lex();g.text!=="EOF";)m.push(g),g=_.lex();m.reverse();var f={tokens:m,numArgs:l};return f}return s}isDefined(t){return this.macros.has(t)||functions.hasOwnProperty(t)||symbols.math.hasOwnProperty(t)||symbols.text.hasOwnProperty(t)||implicitCommands.hasOwnProperty(t)}isExpandable(t){var r=this.macros.get(t);return r!=null?typeof r=="string"||typeof r=="function"||!r.unexpandable:functions.hasOwnProperty(t)&&!functions[t].primitive}}var unicodeSubRegEx=/^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/,uSubsAndSups=Object.freeze({"₊":"+","₋":"-","₌":"=","₍":"(","₎":")","₀":"0","₁":"1","₂":"2","₃":"3","₄":"4","₅":"5","₆":"6","₇":"7","₈":"8","₉":"9","ₐ":"a","ₑ":"e","ₕ":"h","ᵢ":"i","ⱼ":"j","ₖ":"k","ₗ":"l","ₘ":"m","ₙ":"n","ₒ":"o","ₚ":"p","ᵣ":"r","ₛ":"s","ₜ":"t","ᵤ":"u","ᵥ":"v","ₓ":"x","ᵦ":"β","ᵧ":"γ","ᵨ":"ρ","ᵩ":"ϕ","ᵪ":"χ","⁺":"+","⁻":"-","⁼":"=","⁽":"(","⁾":")","⁰":"0","¹":"1","²":"2","³":"3","⁴":"4","⁵":"5","⁶":"6","⁷":"7","⁸":"8","⁹":"9","ᴬ":"A","ᴮ":"B","ᴰ":"D","ᴱ":"E","ᴳ":"G","ᴴ":"H","ᴵ":"I","ᴶ":"J","ᴷ":"K","ᴸ":"L","ᴹ":"M","ᴺ":"N","ᴼ":"O","ᴾ":"P","ᴿ":"R","ᵀ":"T","ᵁ":"U","ⱽ":"V","ᵂ":"W","ᵃ":"a","ᵇ":"b","ᶜ":"c","ᵈ":"d","ᵉ":"e","ᶠ":"f","ᵍ":"g",ʰ:"h","ⁱ":"i",ʲ:"j","ᵏ":"k",ˡ:"l","ᵐ":"m",ⁿ:"n","ᵒ":"o","ᵖ":"p",ʳ:"r",ˢ:"s","ᵗ":"t","ᵘ":"u","ᵛ":"v",ʷ:"w",ˣ:"x",ʸ:"y","ᶻ":"z","ᵝ":"β","ᵞ":"γ","ᵟ":"δ","ᵠ":"ϕ","ᵡ":"χ","ᶿ":"θ"}),unicodeAccents={"́":{text:"\\'",math:"\\acute"},"̀":{text:"\\`",math:"\\grave"},"̈":{text:'\\"',math:"\\ddot"},"̃":{text:"\\~",math:"\\tilde"},"̄":{text:"\\=",math:"\\bar"},"̆":{text:"\\u",math:"\\breve"},"̌":{text:"\\v",math:"\\check"},"̂":{text:"\\^",math:"\\hat"},"̇":{text:"\\.",math:"\\dot"},"̊":{text:"\\r",math:"\\mathring"},"̋":{text:"\\H"},"̧":{text:"\\c"}},unicodeSymbols={á:"á",à:"à",ä:"ä",ǟ:"ǟ",ã:"ã",ā:"ā",ă:"ă",ắ:"ắ",ằ:"ằ",ẵ:"ẵ",ǎ:"ǎ",â:"â",ấ:"ấ",ầ:"ầ",ẫ:"ẫ",ȧ:"ȧ",ǡ:"ǡ",å:"å",ǻ:"ǻ",ḃ:"ḃ",ć:"ć",ḉ:"ḉ",č:"č",ĉ:"ĉ",ċ:"ċ",ç:"ç",ď:"ď",ḋ:"ḋ",ḑ:"ḑ",é:"é",è:"è",ë:"ë",ẽ:"ẽ",ē:"ē",ḗ:"ḗ",ḕ:"ḕ",ĕ:"ĕ",ḝ:"ḝ",ě:"ě",ê:"ê",ế:"ế",ề:"ề",ễ:"ễ",ė:"ė",ȩ:"ȩ",ḟ:"ḟ",ǵ:"ǵ",ḡ:"ḡ",ğ:"ğ",ǧ:"ǧ",ĝ:"ĝ",ġ:"ġ",ģ:"ģ",ḧ:"ḧ",ȟ:"ȟ",ĥ:"ĥ",ḣ:"ḣ",ḩ:"ḩ",í:"í",ì:"ì",ï:"ï",ḯ:"ḯ",ĩ:"ĩ",ī:"ī",ĭ:"ĭ",ǐ:"ǐ",î:"î",ǰ:"ǰ",ĵ:"ĵ",ḱ:"ḱ",ǩ:"ǩ",ķ:"ķ",ĺ:"ĺ",ľ:"ľ",ļ:"ļ",ḿ:"ḿ",ṁ:"ṁ",ń:"ń",ǹ:"ǹ",ñ:"ñ",ň:"ň",ṅ:"ṅ",ņ:"ņ",ó:"ó",ò:"ò",ö:"ö",ȫ:"ȫ",õ:"õ",ṍ:"ṍ",ṏ:"ṏ",ȭ:"ȭ",ō:"ō",ṓ:"ṓ",ṑ:"ṑ",ŏ:"ŏ",ǒ:"ǒ",ô:"ô",ố:"ố",ồ:"ồ",ỗ:"ỗ",ȯ:"ȯ",ȱ:"ȱ",ő:"ő",ṕ:"ṕ",ṗ:"ṗ",ŕ:"ŕ",ř:"ř",ṙ:"ṙ",ŗ:"ŗ",ś:"ś",ṥ:"ṥ",š:"š",ṧ:"ṧ",ŝ:"ŝ",ṡ:"ṡ",ş:"ş",ẗ:"ẗ",ť:"ť",ṫ:"ṫ",ţ:"ţ",ú:"ú",ù:"ù",ü:"ü",ǘ:"ǘ",ǜ:"ǜ",ǖ:"ǖ",ǚ:"ǚ",ũ:"ũ",ṹ:"ṹ",ū:"ū",ṻ:"ṻ",ŭ:"ŭ",ǔ:"ǔ",û:"û",ů:"ů",ű:"ű",ṽ:"ṽ",ẃ:"ẃ",ẁ:"ẁ",ẅ:"ẅ",ŵ:"ŵ",ẇ:"ẇ",ẘ:"ẘ",ẍ:"ẍ",ẋ:"ẋ",ý:"ý",ỳ:"ỳ",ÿ:"ÿ",ỹ:"ỹ",ȳ:"ȳ",ŷ:"ŷ",ẏ:"ẏ",ẙ:"ẙ",ź:"ź",ž:"ž",ẑ:"ẑ",ż:"ż",Á:"Á",À:"À",Ä:"Ä",Ǟ:"Ǟ",Ã:"Ã",Ā:"Ā",Ă:"Ă",Ắ:"Ắ",Ằ:"Ằ",Ẵ:"Ẵ",Ǎ:"Ǎ",Â:"Â",Ấ:"Ấ",Ầ:"Ầ",Ẫ:"Ẫ",Ȧ:"Ȧ",Ǡ:"Ǡ",Å:"Å",Ǻ:"Ǻ",Ḃ:"Ḃ",Ć:"Ć",Ḉ:"Ḉ",Č:"Č",Ĉ:"Ĉ",Ċ:"Ċ",Ç:"Ç",Ď:"Ď",Ḋ:"Ḋ",Ḑ:"Ḑ",É:"É",È:"È",Ë:"Ë",Ẽ:"Ẽ",Ē:"Ē",Ḗ:"Ḗ",Ḕ:"Ḕ",Ĕ:"Ĕ",Ḝ:"Ḝ",Ě:"Ě",Ê:"Ê",Ế:"Ế",Ề:"Ề",Ễ:"Ễ",Ė:"Ė",Ȩ:"Ȩ",Ḟ:"Ḟ",Ǵ:"Ǵ",Ḡ:"Ḡ",Ğ:"Ğ",Ǧ:"Ǧ",Ĝ:"Ĝ",Ġ:"Ġ",Ģ:"Ģ",Ḧ:"Ḧ",Ȟ:"Ȟ",Ĥ:"Ĥ",Ḣ:"Ḣ",Ḩ:"Ḩ",Í:"Í",Ì:"Ì",Ï:"Ï",Ḯ:"Ḯ",Ĩ:"Ĩ",Ī:"Ī",Ĭ:"Ĭ",Ǐ:"Ǐ",Î:"Î",İ:"İ",Ĵ:"Ĵ",Ḱ:"Ḱ",Ǩ:"Ǩ",Ķ:"Ķ",Ĺ:"Ĺ",Ľ:"Ľ",Ļ:"Ļ",Ḿ:"Ḿ",Ṁ:"Ṁ",Ń:"Ń",Ǹ:"Ǹ",Ñ:"Ñ",Ň:"Ň",Ṅ:"Ṅ",Ņ:"Ņ",Ó:"Ó",Ò:"Ò",Ö:"Ö",Ȫ:"Ȫ",Õ:"Õ",Ṍ:"Ṍ",Ṏ:"Ṏ",Ȭ:"Ȭ",Ō:"Ō",Ṓ:"Ṓ",Ṑ:"Ṑ",Ŏ:"Ŏ",Ǒ:"Ǒ",Ô:"Ô",Ố:"Ố",Ồ:"Ồ",Ỗ:"Ỗ",Ȯ:"Ȯ",Ȱ:"Ȱ",Ő:"Ő",Ṕ:"Ṕ",Ṗ:"Ṗ",Ŕ:"Ŕ",Ř:"Ř",Ṙ:"Ṙ",Ŗ:"Ŗ",Ś:"Ś",Ṥ:"Ṥ",Š:"Š",Ṧ:"Ṧ",Ŝ:"Ŝ",Ṡ:"Ṡ",Ş:"Ş",Ť:"Ť",Ṫ:"Ṫ",Ţ:"Ţ",Ú:"Ú",Ù:"Ù",Ü:"Ü",Ǘ:"Ǘ",Ǜ:"Ǜ",Ǖ:"Ǖ",Ǚ:"Ǚ",Ũ:"Ũ",Ṹ:"Ṹ",Ū:"Ū",Ṻ:"Ṻ",Ŭ:"Ŭ",Ǔ:"Ǔ",Û:"Û",Ů:"Ů",Ű:"Ű",Ṽ:"Ṽ",Ẃ:"Ẃ",Ẁ:"Ẁ",Ẅ:"Ẅ",Ŵ:"Ŵ",Ẇ:"Ẇ",Ẍ:"Ẍ",Ẋ:"Ẋ",Ý:"Ý",Ỳ:"Ỳ",Ÿ:"Ÿ",Ỹ:"Ỹ",Ȳ:"Ȳ",Ŷ:"Ŷ",Ẏ:"Ẏ",Ź:"Ź",Ž:"Ž",Ẑ:"Ẑ",Ż:"Ż",ά:"ά",ὰ:"ὰ",ᾱ:"ᾱ",ᾰ:"ᾰ",έ:"έ",ὲ:"ὲ",ή:"ή",ὴ:"ὴ",ί:"ί",ὶ:"ὶ",ϊ:"ϊ",ΐ:"ΐ",ῒ:"ῒ",ῑ:"ῑ",ῐ:"ῐ",ό:"ό",ὸ:"ὸ",ύ:"ύ",ὺ:"ὺ",ϋ:"ϋ",ΰ:"ΰ",ῢ:"ῢ",ῡ:"ῡ",ῠ:"ῠ",ώ:"ώ",ὼ:"ὼ",Ύ:"Ύ",Ὺ:"Ὺ",Ϋ:"Ϋ",Ῡ:"Ῡ",Ῠ:"Ῠ",Ώ:"Ώ",Ὼ:"Ὼ"};class Parser{constructor(t,r){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new MacroExpander(t,r,this.mode),this.settings=r,this.leftrightDepth=0}expect(t,r){if(r===void 0&&(r=!0),this.fetch().text!==t)throw new ParseError("Expected '"+t+"', got '"+this.fetch().text+"'",this.fetch());r&&this.consume()}consume(){this.nextToken=null}fetch(){return this.nextToken==null&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken}switchMode(t){this.mode=t,this.gullet.switchMode(t)}parse(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var t=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),t}finally{this.gullet.endGroups()}}subparse(t){var r=this.nextToken;this.consume(),this.gullet.pushToken(new Token("}")),this.gullet.pushTokens(t);var a=this.parseExpression(!1);return this.expect("}"),this.nextToken=r,a}parseExpression(t,r){for(var a=[];;){this.mode==="math"&&this.consumeSpaces();var s=this.fetch();if(Parser.endOfExpression.indexOf(s.text)!==-1||r&&s.text===r||t&&functions[s.text]&&functions[s.text].infix)break;var l=this.parseAtom(r);if(l){if(l.type==="internal")continue}else break;a.push(l)}return this.mode==="text"&&this.formLigatures(a),this.handleInfixNodes(a)}handleInfixNodes(t){for(var r=-1,a,s=0;s<t.length;s++)if(t[s].type==="infix"){if(r!==-1)throw new ParseError("only one infix operator per group",t[s].token);r=s,a=t[s].replaceWith}if(r!==-1&&a){var l,u,_=t.slice(0,r),m=t.slice(r+1);_.length===1&&_[0].type==="ordgroup"?l=_[0]:l={type:"ordgroup",mode:this.mode,body:_},m.length===1&&m[0].type==="ordgroup"?u=m[0]:u={type:"ordgroup",mode:this.mode,body:m};var g;return a==="\\\\abovefrac"?g=this.callFunction(a,[l,t[r],u],[]):g=this.callFunction(a,[l,u],[]),[g]}else return t}handleSupSubscript(t){var r=this.fetch(),a=r.text;this.consume(),this.consumeSpaces();var s=this.parseGroup(t);if(!s)throw new ParseError("Expected group after '"+a+"'",r);return s}formatUnsupportedCmd(t){for(var r=[],a=0;a<t.length;a++)r.push({type:"textord",mode:"text",text:t[a]});var s={type:"text",mode:this.mode,body:r},l={type:"color",mode:this.mode,color:this.settings.errorColor,body:[s]};return l}parseAtom(t){var r=this.parseGroup("atom",t);if(this.mode==="text")return r;for(var a,s;;){this.consumeSpaces();var l=this.fetch();if(l.text==="\\limits"||l.text==="\\nolimits"){if(r&&r.type==="op"){var u=l.text==="\\limits";r.limits=u,r.alwaysHandleSupSub=!0}else if(r&&r.type==="operatorname")r.alwaysHandleSupSub&&(r.limits=l.text==="\\limits");else throw new ParseError("Limit controls must follow a math operator",l);this.consume()}else if(l.text==="^"){if(a)throw new ParseError("Double superscript",l);a=this.handleSupSubscript("superscript")}else if(l.text==="_"){if(s)throw new ParseError("Double subscript",l);s=this.handleSupSubscript("subscript")}else if(l.text==="'"){if(a)throw new ParseError("Double superscript",l);var _={type:"textord",mode:this.mode,text:"\\prime"},m=[_];for(this.consume();this.fetch().text==="'";)m.push(_),this.consume();this.fetch().text==="^"&&m.push(this.handleSupSubscript("superscript")),a={type:"ordgroup",mode:this.mode,body:m}}else if(uSubsAndSups[l.text]){var g=uSubsAndSups[l.text],f=unicodeSubRegEx.test(l.text);for(this.consume();;){var x=this.fetch().text;if(!uSubsAndSups[x]||unicodeSubRegEx.test(x)!==f)break;this.consume(),g+=uSubsAndSups[x]}var w=new Parser(g,this.settings).parse();f?s={type:"ordgroup",mode:"math",body:w}:a={type:"ordgroup",mode:"math",body:w}}else break}return a||s?{type:"supsub",mode:this.mode,base:r,sup:a,sub:s}:r}parseFunction(t,r){var a=this.fetch(),s=a.text,l=functions[s];if(!l)return null;if(this.consume(),r&&r!=="atom"&&!l.allowedInArgument)throw new ParseError("Got function '"+s+"' with no arguments"+(r?" as "+r:""),a);if(this.mode==="text"&&!l.allowedInText)throw new ParseError("Can't use function '"+s+"' in text mode",a);if(this.mode==="math"&&l.allowedInMath===!1)throw new ParseError("Can't use function '"+s+"' in math mode",a);var{args:u,optArgs:_}=this.parseArguments(s,l);return this.callFunction(s,u,_,a,t)}callFunction(t,r,a,s,l){var u={funcName:t,parser:this,token:s,breakOnTokenText:l},_=functions[t];if(_&&_.handler)return _.handler(u,r,a);throw new ParseError("No function handler for "+t)}parseArguments(t,r){var a=r.numArgs+r.numOptionalArgs;if(a===0)return{args:[],optArgs:[]};for(var s=[],l=[],u=0;u<a;u++){var _=r.argTypes&&r.argTypes[u],m=u<r.numOptionalArgs;(r.primitive&&_==null||r.type==="sqrt"&&u===1&&l[0]==null)&&(_="primitive");var g=this.parseGroupOfType("argument to '"+t+"'",_,m);if(m)l.push(g);else if(g!=null)s.push(g);else throw new ParseError("Null argument, please report this as a bug")}return{args:s,optArgs:l}}parseGroupOfType(t,r,a){switch(r){case"color":return this.parseColorGroup(a);case"size":return this.parseSizeGroup(a);case"url":return this.parseUrlGroup(a);case"math":case"text":return this.parseArgumentGroup(a,r);case"hbox":{var s=this.parseArgumentGroup(a,"text");return s!=null?{type:"styling",mode:s.mode,body:[s],style:"text"}:null}case"raw":{var l=this.parseStringGroup("raw",a);return l!=null?{type:"raw",mode:"text",string:l.text}:null}case"primitive":{if(a)throw new ParseError("A primitive argument cannot be optional");var u=this.parseGroup(t);if(u==null)throw new ParseError("Expected group as "+t,this.fetch());return u}case"original":case null:case void 0:return this.parseArgumentGroup(a);default:throw new ParseError("Unknown group type as "+t,this.fetch())}}consumeSpaces(){for(;this.fetch().text===" ";)this.consume()}parseStringGroup(t,r){var a=this.gullet.scanArgument(r);if(a==null)return null;for(var s="",l;(l=this.fetch()).text!=="EOF";)s+=l.text,this.consume();return this.consume(),a.text=s,a}parseRegexGroup(t,r){for(var a=this.fetch(),s=a,l="",u;(u=this.fetch()).text!=="EOF"&&t.test(l+u.text);)s=u,l+=s.text,this.consume();if(l==="")throw new ParseError("Invalid "+r+": '"+a.text+"'",a);return a.range(s,l)}parseColorGroup(t){var r=this.parseStringGroup("color",t);if(r==null)return null;var a=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(r.text);if(!a)throw new ParseError("Invalid color: '"+r.text+"'",r);var s=a[0];return/^[0-9a-f]{6}$/i.test(s)&&(s="#"+s),{type:"color-token",mode:this.mode,color:s}}parseSizeGroup(t){var r,a=!1;if(this.gullet.consumeSpaces(),!t&&this.gullet.future().text!=="{"?r=this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size"):r=this.parseStringGroup("size",t),!r)return null;!t&&r.text.length===0&&(r.text="0pt",a=!0);var s=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(r.text);if(!s)throw new ParseError("Invalid size: '"+r.text+"'",r);var l={number:+(s[1]+s[2]),unit:s[3]};if(!validUnit(l))throw new ParseError("Invalid unit: '"+l.unit+"'",r);return{type:"size",mode:this.mode,value:l,isBlank:a}}parseUrlGroup(t){this.gullet.lexer.setCatcode("%",13),this.gullet.lexer.setCatcode("~",12);var r=this.parseStringGroup("url",t);if(this.gullet.lexer.setCatcode("%",14),this.gullet.lexer.setCatcode("~",13),r==null)return null;var a=r.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:a}}parseArgumentGroup(t,r){var a=this.gullet.scanArgument(t);if(a==null)return null;var s=this.mode;r&&this.switchMode(r),this.gullet.beginGroup();var l=this.parseExpression(!1,"EOF");this.expect("EOF"),this.gullet.endGroup();var u={type:"ordgroup",mode:this.mode,loc:a.loc,body:l};return r&&this.switchMode(s),u}parseGroup(t,r){var a=this.fetch(),s=a.text,l;if(s==="{"||s==="\\begingroup"){this.consume();var u=s==="{"?"}":"\\endgroup";this.gullet.beginGroup();var _=this.parseExpression(!1,u),m=this.fetch();this.expect(u),this.gullet.endGroup(),l={type:"ordgroup",mode:this.mode,loc:SourceLocation.range(a,m),body:_,semisimple:s==="\\begingroup"||void 0}}else if(l=this.parseFunction(r,t)||this.parseSymbol(),l==null&&s[0]==="\\"&&!implicitCommands.hasOwnProperty(s)){if(this.settings.throwOnError)throw new ParseError("Undefined control sequence: "+s,a);l=this.formatUnsupportedCmd(s),this.consume()}return l}formLigatures(t){for(var r=t.length-1,a=0;a<r;++a){var s=t[a],l=s.text;l==="-"&&t[a+1].text==="-"&&(a+1<r&&t[a+2].text==="-"?(t.splice(a,3,{type:"textord",mode:"text",loc:SourceLocation.range(s,t[a+2]),text:"---"}),r-=2):(t.splice(a,2,{type:"textord",mode:"text",loc:SourceLocation.range(s,t[a+1]),text:"--"}),r-=1)),(l==="'"||l==="`")&&t[a+1].text===l&&(t.splice(a,2,{type:"textord",mode:"text",loc:SourceLocation.range(s,t[a+1]),text:l+l}),r-=1)}}parseSymbol(){var t=this.fetch(),r=t.text;if(/^\\verb[^a-zA-Z]/.test(r)){this.consume();var a=r.slice(5),s=a.charAt(0)==="*";if(s&&(a=a.slice(1)),a.length<2||a.charAt(0)!==a.slice(-1))throw new ParseError(`\\verb assertion failed --
                    please report what input caused this bug`);return a=a.slice(1,-1),{type:"verb",mode:"text",body:a,star:s}}unicodeSymbols.hasOwnProperty(r[0])&&!symbols[this.mode][r[0]]&&(this.settings.strict&&this.mode==="math"&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+r[0]+'" used in math mode',t),r=unicodeSymbols[r[0]]+r.slice(1));var l=combiningDiacriticalMarksEndRegex.exec(r);l&&(r=r.substring(0,l.index),r==="i"?r="ı":r==="j"&&(r="ȷ"));var u;if(symbols[this.mode][r]){this.settings.strict&&this.mode==="math"&&extraLatin.indexOf(r)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+r[0]+'" used in math mode',t);var _=symbols[this.mode][r].group,m=SourceLocation.range(t),g;if(ATOMS.hasOwnProperty(_)){var f=_;g={type:"atom",mode:this.mode,family:f,loc:m,text:r}}else g={type:_,mode:this.mode,loc:m,text:r};u=g}else if(r.charCodeAt(0)>=128)this.settings.strict&&(supportedCodepoint(r.charCodeAt(0))?this.mode==="math"&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+r[0]+'" used in math mode',t):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+r[0]+'"'+(" ("+r.charCodeAt(0)+")"),t)),u={type:"textord",mode:"text",loc:SourceLocation.range(t),text:r};else return null;if(this.consume(),l)for(var x=0;x<l[0].length;x++){var w=l[0][x];if(!unicodeAccents[w])throw new ParseError("Unknown accent ' "+w+"'",t);var Z=unicodeAccents[w][this.mode]||unicodeAccents[w].text;if(!Z)throw new ParseError("Accent "+w+" unsupported in "+this.mode+" mode",t);u={type:"accent",mode:this.mode,loc:SourceLocation.range(t),label:Z,isStretchy:!1,isShifty:!0,base:u}}return u}}Parser.endOfExpression=["}","\\endgroup","\\end","\\right","&"];var parseTree=function n(t,r){if(!(typeof t=="string"||t instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var a=new Parser(t,r);delete a.gullet.macros.current["\\df@tag"];var s=a.parse();if(delete a.gullet.macros.current["\\current@color"],delete a.gullet.macros.current["\\color"],a.gullet.macros.get("\\df@tag")){if(!r.displayMode)throw new ParseError("\\tag works only in display equations");s=[{type:"tag",mode:"text",body:s,tag:a.subparse([new Token("\\df@tag")])}]}return s},render=function n(t,r,a){r.textContent="";var s=renderToDomTree(t,a).toNode();r.appendChild(s)};typeof document<"u"&&document.compatMode!=="CSS1Compat"&&(typeof console<"u"&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."),render=function(){throw new ParseError("KaTeX doesn't work in quirks mode.")});var renderToString=function n(t,r){var a=renderToDomTree(t,r).toMarkup();return a},generateParseTree=function n(t,r){var a=new Settings$1(r);return parseTree(t,a)},renderError=function n(t,r,a){if(a.throwOnError||!(t instanceof ParseError))throw t;var s=buildCommon.makeSpan(["katex-error"],[new SymbolNode(r)]);return s.setAttribute("title",t.toString()),s.setAttribute("style","color:"+a.errorColor),s},renderToDomTree=function n(t,r){var a=new Settings$1(r);try{var s=parseTree(t,a);return buildTree(s,t,a)}catch(l){return renderError(l,t,a)}},renderToHTMLTree=function n(t,r){var a=new Settings$1(r);try{var s=parseTree(t,a);return buildHTMLTree(s,t,a)}catch(l){return renderError(l,t,a)}},katex={version:"0.16.9",render,renderToString,ParseError,SETTINGS_SCHEMA,__parse:generateParseTree,__renderToDomTree:renderToDomTree,__renderToHTMLTree:renderToHTMLTree,__setFontMetrics:setFontMetrics,__defineSymbol:defineSymbol,__defineFunction:defineFunction,__defineMacro:defineMacro,__domTree:{Span,Anchor,SymbolNode,SvgNode,PathNode,LineNode}};function LabelLatexPoint({points:n=[],color:t="black",taille:r=8,largeur:a=10,hauteur:s=10,couleurDeRemplissage:l=""}={}){this.taille=r,this.largeur=a,this.hauteur=s,this.couleurDeRemplissage=l,this.color=t;const u=.25*Math.log10(this.taille);let _,m,g;const f=[];Array.isArray(n[0])?this.listePoints=n[0]:this.listePoints=n;for(const x of this.listePoints)switch(x.typeObjet==="point3d"?g=x.c2d:g=x,_=arrondi(g.x),m=arrondi(g.y),g.positionLabel){case"left":f.push(latexParCoordonnees(g.nom,_-u,m,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;case"right":f.push(latexParCoordonnees(g.nom,_+u,m,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;case"below":f.push(latexParCoordonnees(g.nom,_,m-u,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;case"above":f.push(latexParCoordonnees(g.nom,_,m+u,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;case"above right":f.push(latexParCoordonnees(g.nom,_+u,m+u,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;case"below left":f.push(latexParCoordonnees(g.nom,_-u,m-u,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;case"below right":f.push(latexParCoordonnees(g.nom,_+u,m-u,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break;default:f.push(latexParCoordonnees(g.nom,_-u,m+u,this.color,this.largeur,this.hauteur,this.couleurDeRemplissage,this.taille));break}return f}function labelLatexPoint({points:n,color:t="black",taille:r=8,largeur:a=10,hauteur:s=10,background:l=""}={}){return new LabelLatexPoint({points:n,color:t,taille:r,largeur:a,hauteur:s,background:l})}function labelPoint(...n){let r;typeof n[n.length-1]=="string"?(r=colorToLatexOrHTML(n[n.length-1]),n.length--):r=colorToLatexOrHTML("black");const a=[];for(const s of n){let l;s.typeObjet==="point3d"?l=s.c2d:l=s;let u,_;if(l.nom!==void 0)switch(u=l.x,_=l.y,l.positionLabel){case"left":a.push(texteParPosition(l.nom,u-10/context.pixelsParCm,_,"milieu",r[0],1,"middle",!0));break;case"right":a.push(texteParPosition(l.nom,u+10/context.pixelsParCm,_,"milieu",r[0],1,"middle",!0));break;case"below":a.push(texteParPosition(l.nom,u,_-10/context.pixelsParCm,"milieu",r[0],1,"middle",!0));break;case"above":a.push(texteParPosition(l.nom,u,_+10/context.pixelsParCm,"milieu",r[0],1,"middle",!0));break;case"above left":a.push(texteParPosition(l.nom,u-10/context.pixelsParCm,_+10/context.pixelsParCm,"milieu",r[0],1,"middle",!0));break;case"above right":a.push(texteParPosition(l.nom,u+10/context.pixelsParCm,_+10/context.pixelsParCm,"milieu",r[0],1,"middle",!0));break;case"below left":a.push(texteParPosition(l.nom,u-10/context.pixelsParCm,_-10/context.pixelsParCm,"milieu",r[0],1,"middle",!0));break;case"below right":a.push(texteParPosition(l.nom,u+10/context.pixelsParCm,_-10/context.pixelsParCm,"milieu",r[0],1,"middle",!0));break;default:a.push(texteParPosition(l.nom,u,_,"milieu",r[0],1,"middle",!0));break}}return a}function TexteParPoint(n,t,r="milieu",a="black",s=1,l="middle",u=!1,_=1){ObjetMathalea2D.call(this,{}),this.color=colorToLatexOrHTML(a),this.contour=!1,this.taille=14*s,this.opacite=_,this.couleurDeRemplissage=this.color,this.opaciteDeRemplissage=this.opacite,(typeof n=="number"||n instanceof Decimal)&&(n=stringNombre(n)),this.bordures=[t.x-n.length*.2,t.y-.4,t.x+n.length*.2,t.y+.4],typeof n!="string"&&(n=String(n)),n=n.replaceAll("$$","$"),n.charAt(0)==="$"?(t.positionLabel||(t.positionLabel="above"),this.svg=function(m){return latexParPoint(n.substring(1,n.length-1),t,this.color,n.length*8,12,"",8).svg(m)},this.tikz=function(){let m="";if(typeof r=="number"){let g="center";l==="gauche"&&(g="west"),l==="droite"&&(g="east"),m=`\\draw [color=${this.color[1]}] (${arrondi(t.x)},${arrondi(t.y)}) node[anchor = ${g}, rotate = ${-r}] {${n}};`}else{let g="";r==="gauche"&&(g=`node[anchor = east,scale=${s}]`),r==="droite"&&(g=`node[anchor = west,scale=${s}]`),r==="milieu"&&(g=`node[anchor = center,scale=${s}]`),m=`\\draw [color=${this.color[1]}] (${t.x},${t.y}) ${g} {${n}};`}return m}):(this.svg=function(m){let g="",f="";if(u&&(f=' font-family= "Book Antiqua"; font-style= "italic" '),this.contour?f+=` style="font-size: ${this.taille}px;fill: ${this.couleurDeRemplissage[0]};fill-opacity: ${this.opaciteDeRemplissage};stroke: ${this.color[0]};stroke-width: 0.5px;stroke-linecap: butt;stroke-linejoin:miter;stroke-opacity: ${this.opacite}" `:f+=` style="font-size:${this.taille}px;fill:${this.color[0]};fill-opacity:${this.opacite};${this.gras?"font-weight:bolder":""}" `,typeof r=="number")g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor = "${l}" dominant-baseline = "central" fill="${this.couleurDeRemplissage[0]}" transform="rotate(${r} ${t.xSVG(m)} ${t.ySVG(m)})" id="${this.id}" >${n}</text>
 `;else switch(r){case"gauche":g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor="end" dominant-baseline="central" fill="${this.couleurDeRemplissage[0]}" id="${this.id}" >${n}</text>
 `;break;case"droite":g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor="start" dominant-baseline="central" fill="${this.couleurDeRemplissage[0]}" id="${this.id}" >${n}</text>
 `;break;default:g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor="middle" dominant-baseline="central" fill="${this.couleurDeRemplissage[0]}" id="${this.id}" >${n}</text>
 `;break}return g},this.tikz=function(){let m="";if(typeof r=="number"){let g="center";l==="gauche"&&(g="west"),l==="droite"&&(g="east"),m=`\\draw [color=${this.color[1]}] (${arrondi(t.x)},${arrondi(t.y)}) node[anchor = ${g}, rotate = ${-r}] {${n}};`}else{let g="";r==="gauche"?g=`node[anchor = east,scale=${s}]`:r==="droite"?g=`node[anchor = west,scale=${s}]`:g=`node[anchor = center,scale=${s}]`,u?m=`\\draw [color=${this.color[1]},fill opacity = ${this.opacite}] (${arrondi(t.x)},${arrondi(t.y)}) ${g} {$${n}$};`:m=`\\draw [color=${this.color[1]},fill opacity = ${this.opacite}] (${arrondi(t.x)},${arrondi(t.y)}) ${g} {${n}};`}return m})}function texteParPoint(n,t,r="milieu",a="black",s=1,l="middle",u=!1,_=1){return new TexteParPoint(n,t,r,a,s,l,u,_)}function TexteParPointEchelle(n,t,r="milieu",a="black",s=1,l="middle",u=!1,_){ObjetMathalea2D.call(this,{}),this.color=colorToLatexOrHTML(a),this.contour=!1,this.taille=10*s,this.opacite=1,this.couleurDeRemplissage=colorToLatexOrHTML(a),this.opaciteDeRemplissage=this.opacite,this.bordures=[t.x-n.length*.2,t.y-.4,t.x+n.length*.2,t.y+.4],n.charAt(0)==="$"?(this.svg=function(m){return latexParPoint(n.substr(1,n.length-2),t,this.color,n.length*8,10,"",this.taille*.8).svg(m)},this.tikz=function(){let m="";if(typeof r=="number"){let g="center";l==="gauche"&&(g="west"),l==="droite"&&(g="east"),m=`\\draw [color=${this.color[1]}] (${arrondi(t.x)},${arrondi(t.y)}) node[anchor = ${g}, rotate = ${-r}] {${n}};`}else{let g="";r==="gauche"&&(g=`node[anchor = east,scale=${(s*_*1.25).toFixed(2)}]`),r==="droite"&&(g=`node[anchor = west,scale=${(s*_*1.25).toFixed(2)}]`),r==="milieu"&&(g=`node[anchor = center,scale=${s*_*1.25}]`),m=`\\draw [color=${this.color[1]}] (${arrondi(t.x)},${arrondi(t.y)}) ${g} {${n}};`}return m}):(this.svg=function(m){let g="",f="";if(u&&(f=' font-family= "Book Antiqua"; font-style= "italic" '),this.contour?f+=` style="font-size: ${this.taille}px;fill: ${this.couleurDeRemplissage[0]};fill-opacity: ${this.opaciteDeRemplissage};stroke: ${this.color[0]};stroke-width: 0.5px;stroke-linecap: butt;stroke-linejoin:miter;stroke-opacity: ${this.opacite}" `:f+=` style="font-size:${this.taille}px;fill:${this.color[0]};fill-opacity:${this.opacite};${this.gras?"font-weight:bolder":""}" `,typeof r=="number")g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor = "${l}" dominant-baseline = "central" fill="${this.color[0]}" transform="rotate(${r} ${t.xSVG(m)} ${t.ySVG(m)})" id="${this.id}" >${n}</text>
 `;else switch(r){case"milieu":g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor="middle" dominant-baseline="central" fill="${this.color[0]}" id="${this.id}" >${n}</text>
 `;break;case"gauche":g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor="end" dominant-baseline="central" fill="${this.color[0]}" id="${this.id}" >${n}</text>
 `;break;case"droite":g=`<text ${f} x="${t.xSVG(m)}" y="${t.ySVG(m)}" text-anchor="start" dominant-baseline="central" fill="${this.color[0]}" id="${this.id}" >${n}</text>
 `;break}return g},this.tikz=function(){let m="";if(u&&(n="$"+n+"$"),typeof r=="number"){let g="center";l==="gauche"&&(g="west"),l==="droite"&&(g="east"),m=`\\draw [color=${this.color[1]},fill opacity = ${this.opacite}] (${arrondi(t.x)},${arrondi(t.y)}) node[anchor = ${g},scale=${s*_*1.25}, rotate = ${-r}] {${n}};`}else{let g="";r==="gauche"&&(g=`node[anchor = east,scale=${s*_*1.25}]`),r==="droite"&&(g=`node[anchor = west,scale=${s*_*1.25}]`),r==="milieu"&&(g=`node[anchor = center,scale=${s*_*1.25}]`),m=`\\draw [color=${this.color[1]},fill opacity = ${this.opacite}] (${t.x},${t.y}) ${g} {${n}};`}return m})}function texteParPointEchelle(n,t,r="milieu",a="black",s=1,l="middle",u=!1,_=1){return new TexteParPointEchelle(n,t,r,a,s,l,u,_)}function texteParPositionEchelle(n,t,r,a="milieu",s="black",l=1,u="middle",_=!1,m=1){return texteParPointEchelle(n,point(arrondi(t),arrondi(r),"","center"),a,s,l,u,_,m)}function texteParPosition(n,t,r,a="milieu",s="black",l=1,u="middle",_=!1,m){return n[0]==="$"?latexParCoordonnees(n.substring(1,n.length-1),t,r,s,50,20,"white",8*l):new TexteParPoint(n,point(t,r),a,s,l,u,_,m)}function latexParPoint(n,t,r="black",a=20,s=12,l="white",u=8){let _,m;const g=context.pixelsParCm,f=10*Math.log10(u);switch(t.positionLabel){case"above":_=t.x,m=t.y+f/g;break;case"below":_=t.x,m=t.y-f/g;break;case"left":_=t.x-f/g,m=t.y;break;case"right":_=t.x+f/g,m=t.y;break;case"above right":_=t.x+f/g,m=t.y+f/g;break;case"above left":_=t.x-f/g,m=t.y+f/g;break;case"below right":_=t.x+f/g,m=t.y-f/g;break;case"below left":_=t.x-f/g,m=t.y-f/g;break;case"center":_=t.x,m=t.y;break;default:_=t.x,m=t.y;break}return latexParCoordonnees(n,_,m,r,a,s,l,u)}function LatexParCoordonnees(n,t,r,a,s,l,u="",_){if(ObjetMathalea2D.call(this,{}),typeof n!="string")throw Error(`Vous n'avez pas passer un string à latexParCoordonnees() : ${n}`);if(n==="")return vide2d(t,r);n[0]==="$"&&n[n.length-1]==="$"&&(n=n.substring(1,n.length-2)),this.x=t,this.y=r,this.largeur=s*Math.log10(2*_),this.hauteur=l*Math.log10(_),this.colorBackground=u,this.color=colorToLatexOrHTML(a),this.texte=n,this.tailleCaracteres=_,this.bordures=[this.x-(this.texte.length??0)*.2,this.y-.02*this.hauteur,this.x+(this.texte.length??0)*.2,this.y+.02*this.hauteur];let m;this.tailleCaracteres>19?m="\\huge":this.tailleCaracteres>16?m="\\LARGE":this.tailleCaracteres>13?m="\\Large":this.tailleCaracteres>11?m="\\large":this.tailleCaracteres<6?m="\\tiny":this.tailleCaracteres<8?m="\\scriptsize":this.tailleCaracteres<9?m="\\footnotesize":this.tailleCaracteres<10?m="\\small":m="\\normalsize",this.svg=function(){let g;return this.colorBackground!==""?g=`<div class="divLatex" style="position: absolute; transform: translate(-50%,-50%); ">${katex.renderToString("\\colorbox{"+colorToLatexOrHTML(this.colorBackground)[0]+"}{ "+m+" {\\color{"+this.color[0]+"}$"+this.texte+"$}}")}</div>`:g=`<div class="divLatex" style="position: absolute; transform: translate(-50%,-50%); ">${katex.renderToString("\\color{"+this.color[0]+"}"+m+" "+this.texte)}</div>`,{divLatex:g,x:t,y:r}},this.tikz=function(){let g;return this.colorBackground!==""?g=`\\draw (${t},${r}) node[anchor = center] {\\colorbox ${colorToLatexOrHTML(this.colorBackground)[1]}{${m}  \\color${this.color[1]}{$${this.texte}$}}};`:g=`\\draw (${t},${r}) node[anchor = center] {${m} \\color${this.color[1]}{$${this.texte}$}};`,g}}function latexParCoordonnees(n,t,r,a="black",s=50,l=20,u="white",_=8){return n===""?vide2d():new LatexParCoordonnees(n,t,r,a,s,l,u,_)}function LatexParCoordonneesBox(n,t,r,a,s,l,u,_=8,m){ObjetMathalea2D.call(this,{}),this.x=t,this.y=r,this.largeur=s,this.hauteur=l,this.colorBackground=colorToLatexOrHTML(u),this.color=colorToLatexOrHTML(a),this.texte=n,this.tailleCaracteres=_,this.bordures=[t-this.texte.length*.2,r-.02*this.hauteur,t+this.texte.length*.2,r+.02*this.hauteur];let g;this.tailleCaracteres>19?g="\\huge":this.tailleCaracteres>16?g="\\LARGE":this.tailleCaracteres>13?g="\\Large":this.tailleCaracteres>11?g="\\large":this.tailleCaracteres<6?g="\\tiny":this.tailleCaracteres<8?g="\\scriptsize":this.tailleCaracteres<9?g="\\footnotesize":this.tailleCaracteres<10?g="\\small":g="\\normalsize",this.taille=g;let f="";if(m.anchor!==void 0&&m.anchor!=="")switch(m.anchor){case"center":{let x=0;m.dy===void 0||m.dy===""||m.dy.indexOf("%")<0?x=0:x=parseInt(m.dy.substr(0,m.dy.indexOf("%")));let w=0;m.dx===void 0||m.dx===""||m.dx.indexOf("%")<0?w=0:w=parseInt(m.dx.substr(0,m.dx.indexOf("%"))),f=`position:fixed;top: 50%;left: 50%;transform: translate(${-50+w}%, ${-50+x}%);`;break}case"above":f="position:fixed;bottom:0;";break;case"left":f="position:fixed;right:0;";break;case"right":f="position:fixed;left:0;";break;case"below":f="position:fixed;top:0;";break}this.colorBackground!==""&&(f+=`background-color: ${this.colorBackground[0]};`),this.svg=function(x){const w=this.largeur/2;return`<foreignObject style=" overflow: visible; line-height: 0;" x="${this.x*x-w}" y="${-this.y*x-0-this.hauteur/2}"  width="${this.largeur}" height="${this.hauteur}" id="${this.id}" ><div style="width:${this.largeur}px;height:${this.hauteur}px;position:fixed!important; text-align:center">
      <div style='${f}'>
      $${this.taille} \\color{${this.color[0]}}{${this.texte}}$
      </div></div></foreignObject>`},this.tikz=function(){let x;return this.colorBackground!==""?x=`\\draw (${t},${r}) node[anchor = center] {\\colorbox ${this.colorBackground[1]}{${this.taille}  \\color${this.color[1]}{$${n}$}}};`:x=`\\draw (${t},${r}) node[anchor = center] {${this.taille} \\color${this.color[1]}{$${n}$}};`,x}}function latexParCoordonneesBox(n,t,r,a="black",s=50,l=20,u="white",_=8,m={}){return n===""?vide2d():new LatexParCoordonneesBox(n,t,r,a,s,l,u,_,m)}function translation(n,t,r="",a="above",s="black"){if(n.constructor===Point$1){const l=n.x+t.x,u=n.y+t.y;return point(l,u,r,a)}if(n.constructor===Polygone$1){const l=[];for(let u=0;u<n.listePoints.length;u++)l[u]=translation(n.listePoints[u],t),l[u].nom=n.listePoints[u].nom+"'";return polygone(l,s)}if(n.constructor===Droite$1){const l=translation(point(n.x1,n.y1),t),u=translation(point(n.x2,n.y2),t);return droite(l,u,s)}if(n.constructor===Segment$1){const l=translation(n.extremite1,t),u=translation(n.extremite2,t),_=segment(l,u,s);return _.styleExtremites=n.styleExtremites,_}if(n.constructor===Vecteur)return n}function translation2Points(n,t,r,a="",s="above",l="black"){if(n.constructor===Point$1){const u=n.x+r.x-t.x,_=n.y+r.y-t.y;return point(u,_,a,s)}if(n.constructor===Polygone$1){const u=[];for(let _=0;_<n.listePoints.length;_++)u[_]=translation2Points(n.listePoints[_],n,t,r),u[_].nom=t.listePoints[_].nom+"'";return polygone(u,l)}if(n.constructor===Droite$1){const u=translation2Points(point(n.x1,n.y1),t,r),_=translation2Points(point(n.x2,n.y2),t,r);return droite(u,_,l)}if(n.constructor===Segment$1){const u=translation2Points(n.extremite1,t,r),_=translation2Points(n.extremite2,t,r),m=segment(u,_,l);return m.styleExtremites=n.styleExtremites,m}if(t.constructor===Vecteur)return t}function rotation(n,t,r,a="",s="above",l="black"){if(n.constructor===Point$1){const u=t.x+(n.x-t.x)*Math.cos(r*Math.PI/180)-(n.y-t.y)*Math.sin(r*Math.PI/180),_=t.y+(n.x-t.x)*Math.sin(r*Math.PI/180)+(n.y-t.y)*Math.cos(r*Math.PI/180);return point(u,_,a,s)}if(n.constructor===Polygone$1){const u=[];for(let _=0;_<n.listePoints.length;_++)u[_]=rotation(n.listePoints[_],t,r),u[_].nom=n.listePoints[_].nom+"'";return polygone(u,l)}if(n.constructor===Droite$1){const u=rotation(point(n.x1,n.y1),t,r),_=rotation(point(n.x2,n.y2),t,r);return droite(u,_,"",l)}if(n.constructor===Segment$1){const u=rotation(n.extremite1,t,r),_=rotation(n.extremite2,t,r),m=segment(u,_,l);return m.styleExtremites=n.styleExtremites,m}if(n.constructor===Vecteur){const u=n.x*Math.cos(r*Math.PI/180)-n.y*Math.sin(r*Math.PI/180),_=n.x*Math.sin(r*Math.PI/180)+n.y*Math.cos(r*Math.PI/180);return vecteur(u,_)}}function SensDeRotation(n,t,r,a="black"){ObjetMathalea2D.call(this,{});const s=[],l=arc(n,t,20*r);l.color=colorToLatexOrHTML(a);const u=rotation(n,t,20*r),_=similitude(u,t,-5*r,.95),m=similitude(u,t,-5*r,1.05),g=segment(u,_,a),f=segment(u,m,a);s.push(l,g,f);const x=fixeBordures(s);this.bordures=[x.xmin,x.ymin,x.xmax,x.ymax],this.svg=function(w){let Z="";for(const Ce of s)Z+=`
	`+Ce.svg(w);return Z},this.tikz=function(){let w="";for(const Z of s)w+=`
	`+Z.tikz();return w}}function sensDeRotation(n,t,r,a="black"){return new SensDeRotation(n,t,r,a)}function homothetie(n,t,r,a="",s="above",l="black"){if(n.constructor===Point$1){const u=t.x+r*(n.x-t.x),_=t.y+r*(n.y-t.y);return new Point$1(u,_,a,s)}if(n.constructor===Polygone$1){const u=[];for(let _=0;_<n.listePoints.length;_++)u[_]=homothetie(n.listePoints[_],t,r),u[_].nom=n.listePoints[_].nom+"'";return polygone(u,l)}if(n.constructor===Droite$1){const u=homothetie(point(n.x1,n.y1),t,r),_=homothetie(point(n.x2,n.y2),t,r);return droite(u,_,"",l)}if(n.constructor===Segment$1){const u=homothetie(n.extremite1,t,r),_=homothetie(n.extremite2,t,r),m=segment(u,_,l);return m.styleExtremites=n.styleExtremites,m}if(n.constructor===Vecteur){const u=n.x,_=n.y;return vecteur(u*r,_*r)}}function symetrieAxiale(n,t,r="",a="above",s="black"){let l,u;const _=t.a,m=t.b,g=t.c,f=1/(_*_+m*m);if(n.constructor===Point$1)return _===0?(l=n.x,u=-(n.y+2*g/m)):m===0?(u=n.y,l=-(n.x+2*g/_)):(l=f*((m*m-_*_)*n.x-2*_*m*n.y-2*_*g),u=f*((_*_-m*m)*n.y-2*_*m*n.x+_*_*g/m-m*g)-g/m),point(l,u,r,a);if(n.constructor===Polygone$1){const x=[];for(let w=0;w<n.listePoints.length;w++)x[w]=symetrieAxiale(n.listePoints[w],t),x[w].nom=n.listePoints[w].nom+"'";return polygone(x,s)}if(n.constructor===Droite$1){const x=symetrieAxiale(point(n.x1,n.y1),t),w=symetrieAxiale(point(n.x2,n.y2),t);return droite(x,w,s)}if(n.constructor===Segment$1){const x=symetrieAxiale(n.extremite1,t),w=symetrieAxiale(n.extremite2,t),Z=segment(x,w,s);return Z.styleExtremites=n.styleExtremites,Z}if(n.constructor===Vecteur){let x;egal(m,0)?x=point(-g/_,0):x=point(0,-g/m);const w=translation(x,n),Z=symetrieAxiale(w,t);return vecteur(x,Z)}}function projectionOrtho(n,t,r="",a="above"){const s=t.a,l=t.b,u=t.c,_=1/(s*s+l*l);let m,g;if(n.constructor===Point$1)return s===0?(m=n.x,g=-u/l):l===0?(g=n.y,m=-u/s):(m=_*(l*l*n.x-s*l*n.y-s*u),g=_*(-s*l*n.x+s*s*n.y+s*s*u/l)-u/l),point(m,g,r,a);if(n.constructor===Vecteur){let f;egal(l,0)?f=point(-u/s,0):f=point(0,-u/l);const x=translation(f,n),w=projectionOrtho(x,t);return vecteur(f,w)}}function affiniteOrtho(n,t,r,a="",s="above",l="black"){const u=t.a,_=t.b,m=t.c,g=1/(u*u+_*_);let f,x;if(n.constructor===Point$1)return u===0?(f=n.x,x=r*n.y+m*(r-1)/_):_===0?(x=n.y,f=r*n.x+m*(r-1)/u):(f=g*(_*_*n.x-u*_*n.y-u*m)*(1-r)+r*n.x,x=g*(u*u*n.y-u*_*n.x+u*u*m/_)*(1-r)+r*m/_+r*n.y-m/_),new Point$1(f,x,a,s);if(n.constructor===Polygone$1){const w=[];for(let Z=0;Z<n.listePoints.length;Z++)w[Z]=affiniteOrtho(n.listePoints[Z],t,r),w[Z].nom=n.listePoints[Z].nom+"'";return new Polygone$1(w,l)}if(n.constructor===Droite$1){const w=affiniteOrtho(point(n.x1,n.y1),t,r),Z=affiniteOrtho(point(n.x2,n.y2),t,r);return new Droite$1(w,Z,l)}if(n.constructor===Segment$1){const w=affiniteOrtho(n.extremite1,t,r),Z=affiniteOrtho(n.extremite2,t,r);return new Segment$1(w,Z,l,n.styleExtremites)}if(n.constructor===Vecteur){let w;egal(_,0)?w=point(-m/u,0):w=point(0,-m/_);const Z=translation(w,n),Ce=affiniteOrtho(Z,t,r);return new Vecteur(w,Ce)}}function similitude(n,t,r,a,s="",l="above",u="black"){if(n.constructor===Point$1){const _=radians(r),m=t.x+a*(Math.cos(_)*(n.x-t.x)-Math.sin(_)*(n.y-t.y)),g=t.y+a*(Math.cos(_)*(n.y-t.y)+Math.sin(_)*(n.x-t.x));return point(m,g,s,l)}if(n.constructor===Polygone$1){const _=[];for(let m=0;m<n.listePoints.length;m++)_[m]=similitude(n.listePoints[m],t,r,a),_[m].nom=n.listePoints[m].nom+"'";return polygone(_,u)}if(n.constructor===Droite$1){const _=similitude(point(n.x1,n.y1),t,r,a),m=similitude(point(n.x2,n.y2),t,r,a);return droite(_,m,u)}if(n.constructor===Segment$1){const _=similitude(n.extremite1,t,r,a),m=similitude(n.extremite2,t,r,a),g=segment(_,m,u);return g.styleExtremites=n.styleExtremites,g}if(n.constructor===Vecteur){const _=rotation(n,t,r);return homothetie(_,t,a)}}function Vecteur(n,t,r=""){ObjetMathalea2D.call(this,{}),arguments.length===1?this.nom=n:(typeof n=="number"||n instanceof FractionEtendue?(this.x=n,this.y=t):(this.x=t.x-n.x,this.y=t.y-n.y),this.nom=r),this.norme=function(){return Math.sqrt(this.x**2+this.y**2)},this.oppose=function(){this.x=-this.x,this.y=-this.y},this.xSVG=function(a){return this.x*a},this.ySVG=function(a){return-this.y*a},this.representant=function(a,s="black"){const l=point(a.x+this.x,a.y+this.y);return segment(a,l,s,"|->")},this.representantNomme=function(a,s,l=1,u="black"){let _,m;const g=point(a.x+this.x,a.y+this.y),f=milieu(a,g);_=segment(a,g,u);const x=_.angleAvecHorizontale;m=similitude(this,a,90,.5/this.norme()),Math.abs(x)>90&&(_=segment(g,a,u),m=similitude(this,a,-90,.5/this.norme()));const w=translation(f,m);return nomVecteurParPosition(s,w.x,w.y,l,0,u)}}function vecteur(n,t,r=""){return new Vecteur(n,t,r)}function NomVecteurParPosition(n,t,r,a=1,s=0,l="black"){ObjetMathalea2D.call(this,{}),this.nom=n,this.x=t,this.y=r,this.color=l,this.angle=s,this.taille=a;const u=[],_=texteParPosition(this.nom,this.x,this.y,-this.angle,this.color,this.taille,"middle",!0),m=point(this.x,this.y),g=point(m.x+.25*this.nom.length,m.y),f=similitude(g,m,90+this.angle,2/this.nom.length),x=rotation(translation(f,vecteur(g,m)),f,this.angle),w=rotation(x,f,180),Z=segment(x,w,this.color);Z.styleExtremites="->",Z.tailleExtremites=2,u.push(_,Z),this.svg=function(Ce){let ne="";for(const $e of u)ne+=`
	`+$e.svg(Ce);return ne},this.tikz=function(){let Ce="";for(const ne of u)Ce+=`
	`+ne.tikz();return Ce}}function nomVecteurParPosition(n,t,r,a=1,s=0,l="black"){return new NomVecteurParPosition(n,t,r,a,s,l)}function Segment$1(n,t,r,a,s,l=""){ObjetMathalea2D.call(this,{}),this.estSecant=function(u){const _=droite(this.extremite1,this.extremite2);if(_.isVisible=!1,u instanceof Cercle){const g=pointIntersectionLC(_,u,"",1),f=pointIntersectionLC(_,u,"",2);return g instanceof Point$1&&g.estSur(this)||f instanceof Point$1&&f.estSur(this)}let m;if(u instanceof Droite$1)m=pointIntersectionDD(_,u);else{const g=droite(u.extremite1,u.extremite2);g.isVisible=!1,m=pointIntersectionDD(_,g),typeof m=="boolean"&&(m=u.extremite1.estSur(this)||u.extremite2.estSur(this)||this.extremite1.estSur(segment(u.extremite1,u.extremite2))||this.extremite2.estSur(segment(u.extremite1,u.extremite2)))}return typeof m=="boolean"?m:m.estSur(u)&&m.estSur(this)},this.typeObjet="segment",this.styleExtremites=l,this.tailleExtremites=4,arguments.length===2?((isNaN(n.x)||isNaN(n.y)||isNaN(t.x)||isNaN(t.y))&&window.notify("Segment : (attendus : A et B) les arguments de sont pas des points valides",{arg1:n,arg2:t}),this.x1=n.x,this.y1=n.y,this.x2=t.x,this.y2=t.y):arguments.length===3?((isNaN(n.x)||isNaN(n.y)||isNaN(t.x)||isNaN(t.y))&&window.notify('Segment : (attendus : A, B et "couleur") les arguments de sont pas des points valides',{arg1:n,arg2:t}),this.x1=n.x,this.y1=n.y,this.x2=t.x,this.y2=t.y,this.color=colorToLatexOrHTML(r)):arguments.length===4?isNaN(r)?(this.x1=n.x,this.y1=n.y,this.x2=t.x,this.y2=t.y,this.color=colorToLatexOrHTML(r),this.styleExtremites=a):((isNaN(n)||isNaN(t)||isNaN(r)||isNaN(a))&&window.notify("Segment : (attendus : x1, y1, x2 et y2) les arguments de sont pas des nombres valides",{arg1:n,arg2:t}),this.x1=n,this.y1=t,this.x2=r,this.y2=a):((isNaN(n)||isNaN(t)||isNaN(r)||isNaN(a))&&window.notify('Segment : (attendus : x1, y1, x2, y2 et "couleur") les arguments de sont pas des nombres valides',{arg1:n,arg2:t}),this.x1=n,this.y1=t,this.x2=r,this.y2=a,this.color=colorToLatexOrHTML(s),this.styleExtremites=l),this.bordures=[Math.min(this.x1,this.x2),Math.min(this.y1,this.y2),Math.max(this.x1,this.x2),Math.max(this.y1,this.y2)],this.extremite1=point(this.x1,this.y1),this.extremite2=point(this.x2,this.y2),this.longueur=Math.sqrt((this.x2-this.x1)**2+(this.y2-this.y1)**2),this.angleAvecHorizontale=angleOriente(point(this.x1+1,this.y1),this.extremite1,this.extremite2),this.codeExtremitesSVG=function(u){let _="";const m=point(this.x1,this.y1),g=point(this.x2,this.y2),f=this.tailleExtremites;if(this.styleExtremites.length>1){const x=this.styleExtremites.slice(-1);if(x==="|"){const Z=pointSurSegment(g,m,f/context.pixelsParCm),Ce=similitude(Z,g,90,.7),ne=similitude(Z,g,-90,.7);_+=`<line x1="${Ce.xSVG(u)}" y1="${Ce.ySVG(u)}" x2="${ne.xSVG(u)}" y2="${ne.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`}if(x===">"){const Z=pointSurSegment(g,m,f/context.pixelsParCm),Ce=similitude(g,Z,90,.7),ne=pointSurSegment(g,rotation(g,Z,90),-.5/context.pixelsParCm),$e=similitude(g,Z,-90,.7),Ie=pointSurSegment(g,rotation(g,Z,-90),.5/context.pixelsParCm);_+=`<line x1="${ne.xSVG(u)}" y1="${ne.ySVG(u)}" x2="${Ce.xSVG(u)}" y2="${Ce.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`,_+=`
	<line x1="${Ie.xSVG(u)}" y1="${Ie.ySVG(u)}" x2="${$e.xSVG(u)}" y2="${$e.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`}if(x==="<"){const Z=pointSurSegment(g,m,-f/context.pixelsParCm),Ce=similitude(g,Z,90,.7),ne=similitude(g,Z,-90,.7);_+=`<line x1="${g.xSVG(u)}" y1="${g.ySVG(u)}" x2="${Ce.xSVG(u)}" y2="${Ce.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`,_+=`
	<line x1="${g.xSVG(u)}" y1="${g.ySVG(u)}" x2="${ne.xSVG(u)}" y2="${ne.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`}if(x==="["){const Z=pointSurSegment(g,m,f/context.pixelsParCm),Ce=similitude(Z,g,90,1),ne=similitude(Z,g,-90,1),$e=similitude(g,Ce,-90,.3),Ie=similitude(g,ne,90,.3);_+=`<polyline points="${Ie.xSVG(u)},${Ie.ySVG(u)} ${ne.xSVG(u)},${ne.ySVG(u)} ${Ce.xSVG(u)},${Ce.ySVG(u)} ${$e.xSVG(u)},${$e.ySVG(u)}" fill="none" stroke="${this.color[0]}" ${this.style} id="${this.id}" stroke-width="${this.epaisseur}" />`}if(x==="]"){const Z=pointSurSegment(g,m,f/context.pixelsParCm),Ce=similitude(Z,g,90,1),ne=similitude(Z,g,-90,1),$e=similitude(g,Ce,90,.3),Ie=similitude(g,ne,-90,.3);_+=`<polyline points="${Ie.xSVG(u)},${Ie.ySVG(u)} ${ne.xSVG(u)},${ne.ySVG(u)} ${Ce.xSVG(u)},${Ce.ySVG(u)} ${$e.xSVG(u)},${$e.ySVG(u)}" fill="none" stroke="${this.color[0]}" ${this.style} id="${this.id}" stroke-width="${this.epaisseur}" />`}const w=this.styleExtremites[0];if(w==="["){const Z=pointSurSegment(m,g,f/context.pixelsParCm),Ce=similitude(Z,m,90,1),ne=similitude(Z,m,-90,1),$e=similitude(m,Ce,90,.3),Ie=similitude(m,ne,-90,.3);_+=`<polyline points="${Ie.xSVG(u)},${Ie.ySVG(u)} ${ne.xSVG(u)},${ne.ySVG(u)} ${Ce.xSVG(u)},${Ce.ySVG(u)} ${$e.xSVG(u)},${$e.ySVG(u)}" fill="none" stroke="${this.color[0]}" ${this.style} id="${this.id}" stroke-width="${this.epaisseur}" />`}if(w==="]"){const Z=pointSurSegment(m,g,f/context.pixelsParCm),Ce=similitude(Z,m,90,1),ne=similitude(Z,m,-90,1),$e=similitude(m,Ce,-90,.3),Ie=similitude(m,ne,90,.3);_+=`<polyline points="${Ie.xSVG(u)},${Ie.ySVG(u)} ${ne.xSVG(u)},${ne.ySVG(u)} ${Ce.xSVG(u)},${Ce.ySVG(u)} ${$e.xSVG(u)},${$e.ySVG(u)}" fill="none" stroke="${this.color[0]}" ${this.style} id="${this.id}" stroke-width="${this.epaisseur}" />`}if(w==="<"){const Z=pointSurSegment(m,g,f/context.pixelsParCm),Ce=rotation(m,Z,90),ne=pointSurSegment(m,rotation(m,Z,90),-.5/context.pixelsParCm),$e=rotation(m,Z,-90),Ie=pointSurSegment(m,rotation(m,Z,-90),.5/context.pixelsParCm);_+=`<line x1="${ne.xSVG(u)}" y1="${ne.ySVG(u)}" x2="${Ce.xSVG(u)}" y2="${Ce.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`,_+=`
	<line x1="${Ie.xSVG(u)}" y1="${Ie.ySVG(u)}" x2="${$e.xSVG(u)}" y2="${$e.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`}if(w===">"){const Z=pointSurSegment(m,g,-f/context.pixelsParCm),Ce=rotation(m,Z,90),ne=rotation(m,Z,-90);_+=`<line x1="${m.xSVG(u)}" y1="${m.ySVG(u)}" x2="${Ce.xSVG(u)}" y2="${Ce.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`,_+=`
	<line x1="${m.xSVG(u)}" y1="${m.ySVG(u)}" x2="${ne.xSVG(u)}" y2="${ne.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`}if(w==="|"){const Z=pointSurSegment(m,g,f/context.pixelsParCm),Ce=rotation(Z,m,90),ne=rotation(Z,m,-90);_+=`<line x1="${Ce.xSVG(u)}" y1="${Ce.ySVG(u)}" x2="${ne.xSVG(u)}" y2="${ne.ySVG(u)}" stroke="${this.color[0]}" stroke-width="${this.epaisseur}" />`}}return _},this.svg=function(u){switch(this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `);let _=this.codeExtremitesSVG(u);const m=point(this.x1,this.y1),g=point(this.x2,this.y2);return _+=`
	<line x1="${m.xSVG(u)}" y1="${m.ySVG(u)}" x2="${g.xSVG(u)}" y2="${g.ySVG(u)}" stroke="${this.color[0]}" ${this.style} />`,this.styleExtremites.length>0?_=`<g id="${this.id}">${_}</g>`:_=_.replace("/>",`id="${this.id}" />`),_},this.tikz=function(){let u=[];const _=[];switch(this.color[1].length>1&&this.color[1]!=="black"&&_.push(`color =${this.color[1]}`),this.epaisseur!==1&&_.push(`line width = ${this.epaisseur}`),this.opacite!==1&&_.push(`opacity = ${this.opacite}`),this.pointilles){case 1:_.push(" dash dot ");break;case 2:_.push(" densely dash dot dot ");break;case 3:_.push(" dash dot dot ");break;case 4:_.push(" dotted ");break;case 5:_.push(" dashed ");break}return this.styleExtremites.length>1&&(this.styleExtremites.includes("[")||this.styleExtremites.includes("]")?_.push("{"+this.styleExtremites+"}"):_.push(this.styleExtremites)),_.length>0&&(u="["+_.join(",")+"]"),`\\draw${u} (${this.x1},${this.y1})--(${this.x2},${this.y2});`},this.svgml=function(u,_){this.style='fill="none"',this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `);const m=point(this.x1,this.y1),g=point(this.x2,this.y2),f=longueur(m,g),x=(g.xSVG(u)-m.xSVG(u))/f/2,w=(g.ySVG(u)-m.ySVG(u))/f/2;let Z=`<path d="M ${m.xSVG(u)}, ${m.ySVG(u)} Q ${Math.round(m.xSVG(u),0)}, ${m.ySVG(u)} `,Ce=1;for(let ne=0;ne<2*f+.25;ne+=.5)Ce++,Z+=`${Math.round(m.xSVG(u)+ne*x+randint(-2,2,0)*_)}, ${Math.round(m.ySVG(u)+ne*w+randint(-2,2,0)*_)} `;return Ce%2===1?Z+=` ${Math.round(g.xSVG(u),0)}, ${g.ySVG(u)}" stroke="${this.color[0]}" ${this.style}/>`:Z+=` ${Math.round(g.xSVG(u),0)}, ${g.ySVG(u)} ${g.xSVG(u)}, ${g.ySVG(u)}" stroke="${this.color[0]}" ${this.style}/>`,Z+=this.codeExtremitesSVG(u),Z},this.tikzml=function(u){const _=point(this.x1,this.y1),m=point(this.x2,this.y2);let g=[];const f=[];return this.color[1].length>1&&this.color[1]!=="black"&&f.push(`color =${this.color[1]}`),this.epaisseur!==1&&f.push(`line width = ${this.epaisseur}`),this.opacite!==1&&f.push(`opacity = ${this.opacite}`),this.styleExtremites.length>1&&(this.styleExtremites.includes("[")||this.styleExtremites.includes("]")?f.push("{"+this.styleExtremites+"}"):f.push(this.styleExtremites)),f.push(`decorate,decoration={random steps , amplitude = ${u}pt}`),g="["+f.join(",")+"]",`\\draw${g} (${_.x},${_.y})--(${m.x},${m.y});`}}function segment(...n){return new Segment$1(...n)}function segmentAvecExtremites(...n){const t=segment(...n);return t.styleExtremites="|-|",t}function DemiDroite$1(n,t,r="black",a=!1){ObjetMathalea2D.call(this,{});const s=pointSurSegment(t,n,-10);return this.color=r,a?new Segment$1(n,s,this.color,"|-"):new Segment$1(n,s,this.color)}function demiDroite(n,t,r="black",a=!1){return new DemiDroite$1(n,t,r,a)}function longueur(n,t,r){return arrondi===void 0?Math.sqrt((t.x-n.x)**2+(t.y-n.y)**2):arrondi(Math.sqrt((t.x-n.x)**2+(t.y-n.y)**2),r)}function norme(n){return Math.sqrt(n.x**2+n.y**2)}function triangle2points1hauteur(n,t,r,a,s=1,l="black"){a===void 0&&(a=randint(0,floor(longueur(n,t))));const u=pointSurSegment(n,t,a),_=similitude(n,u,90*(3-s*2),r/longueur(n,u));return{triangle:polygone([n,t,_],l),pied:u}}function triangle2points2longueurs(n,t,r,a,s=1,l="black"){const u=cercle(n,r),_=cercle(t,a);let m;return s===1?m=pointIntersectionCC(u,_):m=pointIntersectionCC(u,_,"",2),u.isVisible=!1,_.isVisible=!1,polygone([n,t,m],l)}function triangle2points2angles(n,t,r,a,s=1,l="black"){s===1?a*=-1:r*=-1;const u=pointSurSegment(n,t,1),_=rotation(u,n,r),m=pointSurSegment(t,n,1),g=rotation(m,t,a),f=droite(n,_),x=droite(t,g);f.isVisible=!1,x.isVisible=!1;const w=pointIntersectionDD(f,x,"C");return polygone([n,t,w],l)}function triangle2points1angle1longueur(n,t,r,a,s=1,l="black"){s===1?r=Math.abs(r)%180:r=-(Math.abs(r)%180);const u=pointSurSegment(n,t,a),_=rotation(u,n,r);return polygone([n,t,_],l)}function aireTriangle(n){if(n.listePoints.length!==3)return!1;const t=n.listePoints[0],r=n.listePoints[1],a=n.listePoints[2];return 1/2*Math.abs((r.x-t.x)*(a.y-t.y)-(a.x-t.x)*(r.y-t.y))}function medianeTriangle(n,t,r,a="black"){const s=milieu(t,r);return droite(n,s,"",a)}function centreGraviteTriangle(n,t,r,a="",s="above"){const l=medianeTriangle(t,n,r),u=medianeTriangle(n,t,r);l.isVisible=!1,u.isVisible=!1;const _=pointIntersectionDD(l,u),m=_.x,g=_.y;return new Point$1(m,g,a,s)}function hauteurTriangle(n,t,r,a="black"){const s=droite(t,r);s.isVisible=!1;const l=projectionOrtho(n,s);return new Droite$1(l,n,"",a)}function CodageHauteurTriangle(n,t,r,a="black"){ObjetMathalea2D.call(this,{}),this.color=a;const s=droite(t,r),l=projectionOrtho(n,s),u=rotation(n,l,-90);t.x<r.x?l.x>r.x||l.x<t.x?(s.isVisible=!0,s.pointilles=5):s.isVisible=!1:r.x<t.x?l.x<r.x||l.x>t.x?(s.isVisible=!0,s.pointilles=5):s.isVisible=!1:t.y<r.y?l.y>r.y||l.y<t.y?(s.isVisible=!0,s.pointilles=5):s.isVisible=!1:r.y<t.y&&(l.y<r.y||l.y>t.y?(s.isVisible=!0,s.pointilles=5):s.isVisible=!1);const _=codageAngleDroit(n,l,u,this.color);this.svg=function(m){return s.isVisible?_.svg(m)+`
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invalide",{...n}),t=Math.min(t,l.x),r=Math.max(r,l.x),a=Math.min(a,l.y),s=Math.max(s,l.y);if(this.bordures=[t,a,r,s],this.nom="",this.listePoints.length<15)for(const l of n)this.nom+=l.nom;this.svg=function(l){switch(this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `);let u="";for(const _ of this.listePoints)u+=`${_.xSVG(l)},${_.ySVG(l)} `;return`<polyline points="${u}" fill="none" stroke="${this.color[0]}" ${this.style} id="${this.id}" />`},this.tikz=function(){const l=[];switch(this.color[1].length>1&&this.color[1]!=="black"&&l.push(`color=${this.color[1]}`),this.epaisseur!==1&&l.push(`line width = ${this.epaisseur}`),this.pointilles){case 1:l.push(" dash dot ");break;case 2:l.push(" densely dash dot dot ");break;case 3:l.push(" dash dot dot ");break;case 4:l.push(" dotted ");break;case 5:l.push(" dashed ");break}this.opacite!==1&&l.push(`opacity = ${this.opacite}`);let u=[];l.length>0&&(u="["+l.join(",")+"]");let _="";for(const m of this.listePoints)_+=`(${arrondi(m.x)},${arrondi(m.y)})--`;return _=_.substr(0,_.length-2),`\\draw${u} ${_};`},this.svgml=function(l,u){let _="",m;for(let g=1;g<this.listePoints.length;g++)m=segment(this.listePoints[g-1],this.listePoints[g],this.color),m.epaisseur=this.epaisseur,m.opacite=this.opacite,_+=m.svgml(l,u);return _},this.tikzml=function(l){const u=[];this.color[1].length>1&&this.color[1]!=="black"&&u.push(`color=${this.color[1]}`),this.epaisseur!==1&&u.push(`line width = ${this.epaisseur}`),this.opacite!==1&&u.push(`opacity = ${this.opacite}`),u.push(`decorate,decoration={random steps , segment length=3pt, amplitude = ${l}pt}`);let _=[];u.length>0&&(_="["+u.join(",")+"]");let m="";for(const g of this.listePoints)m+=`(${arrondi(g.x)},${arrondi(g.y)})--`;return m=m.substr(0,m.length-2),`\\draw${_} ${m};`}}function polyline(...n){return new Polyline(...n)}function Polygone$1(...n){ObjetMathalea2D.call(this,{}),this.opaciteDeRemplissage=1,this.epaisseurDesHachures=1,this.distanceDesHachures=10,Array.isArray(n[0])?(this.listePoints=n[0],n[1]&&(this.color=colorToLatexOrHTML(n[1])),n[2]?this.couleurDeRemplissage=colorToLatexOrHTML(n[2]):this.couleurDeRemplissage=colorToLatexOrHTML("none"),n[3]?(this.couleurDesHachures=colorToLatexOrHTML(n[3]),this.hachures=!0):(this.couleurDesHachures=colorToLatexOrHTML("black"),this.hachures=!1),this.nom=this.listePoints.join()):(typeof n[n.length-1]=="string"&&(this.color=n[n.length-1],n.splice(n.length-1,1)),this.listePoints=n,this.nom=this.listePoints.join(),this.couleurDeRemplissage=colorToLatexOrHTML("none"),this.hachures=!1);let t=1e3,r=-1e3,a=1e3,s=-1e3;for(const l of this.listePoints)l.typeObjet!=="point"&&window.notify("Polygone : argument invalide",{...n}),t=Math.min(t,l.x),r=Math.max(r,l.x),a=Math.min(a,l.y),s=Math.max(s,l.y);this.bordures=[t,a,r,s],this.binomesXY=function(l){let u="";for(const _ of this.listePoints)u+=`${_.xSVG(l)},${_.ySVG(l)} `;return u},this._triangulation=null,this._flat=null,Object.defineProperty(this,"flat",{get:()=>(this._flat===null&&(this._flat=polygoneToFlatArray(this)),this._flat)}),Object.defineProperty(this,"triangulation",{get:()=>{if(this._triangulation===null){const l=earcut$1(this.flat);this._triangulation=[];for(let u=0;u<l.length;u+=3)this._triangulation.push([point(this.flat[l[u]*2],this.flat[l[u]*2+1]),point(this.flat[l[u+1]*2],this.flat[l[u+1]*2+1]),point(this.flat[l[u+2]*2],this.flat[l[u+2]*2+1])])}return this._triangulation}}),this._aire=null,Object.defineProperty(this,"aire",{get:()=>{if(this._aire===null){const l=this.triangulation;this._aire=0;for(let u=0;u<l.length;u++)this._aire+=aireTriangle(l[u])}return this._aire}}),this.svg=function(l){switch(this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}return this.hachures?(this.couleurDeRemplissage.length<1&&(this.couleurDeRemplissage=colorToLatexOrHTML("none")),pattern({motif:this.hachures,id:this.id,distanceDesHachures:this.distanceDesHachures,epaisseurDesHachures:this.epaisseurDesHachures,couleurDesHachures:this.couleurDesHachures||"black",couleurDeRemplissage:this.couleurDeRemplissage[0],opaciteDeRemplissage:this.opaciteDeRemplissage})+`<polygon points="${this.binomesXY(l)}" stroke="${this.color[0]}" ${this.style} id="${this.id}" fill="url(#pattern${this.id})" />`):(this.couleurDeRemplissage[0]===""||this.couleurDeRemplissage[0]===void 0?this.style+=' fill="none" ':(this.style+=` fill="${this.couleurDeRemplissage[0]}" `,this.style+=` fill-opacity="${this.opaciteDeRemplissage}" `),this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `),`<polygon points="${this.binomesXY(l)}" stroke="${this.color[0]}" ${this.style} id="${this.id}" />`)},this.tikz=function(){var m;const l=[];switch(this.color[1].length>1&&this.color[1]!=="black"&&l.push(`color=${this.color[1]}`),this.epaisseur!==1&&l.push(`line width = ${this.epaisseur}`),this.pointilles){case 1:l.push(" dash dot ");break;case 2:l.push(" densely dash dot dot ");break;case 3:l.push(" dash dot dot ");break;case 4:l.push(" dotted ");break;case 5:l.push(" dashed ");break}this.opacite!==1&&l.push(`opacity=${this.opacite}`),this.couleurDeRemplissage[1]!==""&&this.couleurDeRemplissage[1]!=="none"&&l.push(`preaction={fill,color = ${this.couleurDeRemplissage[1]}${this.opaciteDeRemplissage!==1?", opacity = "+this.opaciteDeRemplissage:""}}`),this.hachures&&l.push(pattern({motif:this.hachures,id:this.id,distanceDesHachures:this.distanceDesHachures,couleurDesHachures:((m=this.couleurDesHachures)==null?void 0:m.get(1))||"black",couleurDeRemplissage:this.couleurDeRemplissage[1],opaciteDeRemplissage:this.opaciteDeRemplissage}));let u=[];l.length>0&&(u="["+l.join(",")+"]");let _="";for(const g of this.listePoints)_+=`(${arrondi(g.x)},${arrondi(g.y)})--`;return`\\draw${u} ${_}cycle;`},this.svgml=function(l,u){let _="",m,g,f;for(let x=1;x<=this.listePoints.length;x++)f=this.listePoints[x%this.listePoints.length],g=this.listePoints[x-1],m=segment(g,f,this.color),m.epaisseur=this.epaisseur,m.opacite=this.opacite,_+=m.svgml(l,u);return _},this.tikzml=function(l){let u="",_,m,g;for(let f=1;f<=this.listePoints.length;f++)g=this.listePoints[f%this.listePoints.length],m=this.listePoints[f-1],_=segment(m,g,this.color),_.isVisible=!0,_.epaisseur=this.epaisseur,_.opacite=this.opacite,u+="	"+_.tikzml(l)+`
`;return u}}function polygone(...n){return new Polygone$1(...n)}function polygoneAvecNom(...n){let t=.5;typeof n[n.length-1]=="number"&&(t=n[n.length-1],n.splice(n.length-1,1));const r=polygone(...n);let a="";return n.forEach(s=>{a+=s.nom+","}),a=a.substring(0,a.length-1),r.sommets=nommePolygone(r,a,t),r.sommets.bordures=[],r.sommets.bordures[0]=r.bordures[0]-1-t,r.sommets.bordures[1]=r.bordures[1]-1-t,r.sommets.bordures[2]=r.bordures[2]+1+t,r.sommets.bordures[3]=r.bordures[3]+1+t,[r,r.sommets]}function renommePolygone(n,t){t=typeof t=="string"&&t.includes(",")?t.split(","):t;for(let r=0;r<n.listePoints.length;r++)t[r]!==void 0&&(n.listePoints[r].nom=t[r])}function polygoneRegulier(n,t,r,a="black"){const s=[n,t];for(let l=1;l<r-1;l++)s[l+1]=rotation(s[l-1],s[l],-180+360/r);return new Polygone$1(s,a)}function carre$2(n,t,r="black"){return polygoneRegulier(n,t,4,r)}function polygoneRegulierParCentreEtRayon(n,t,r,a="black"){const s=[];s[0]=point(n.x+t,n.y);for(let l=1;l<r;l++)s[l]=rotation(s[l-1],n,-360/r);return polygone(s,a)}class BoiteBuilder{constructor({xMin:t,xMax:r,yMin:a,yMax:s}){this.xMin=t,this.xMax=r,this.yMin=a,this.yMax=s,this.forme=polygone([point(t,a),point(r,a),point(r,s),point(t,s)])}render(){return this.text?[this.forme,this.text]:this.forme}addColor({color:t,colorBackground:r,opacity:a,backgroudOpacity:s}){return this.forme.color=colorToLatexOrHTML(t??"black"),this.forme.opacite=a??1,this.forme.couleurDeRemplissage=colorToLatexOrHTML(r??"none"),this.forme.opaciteDeRemplissage=s??.7,this}addTextIn({textIn:t,color:r,opacity:a,size:s}){return typeof t!="string"&&window.notify("BoiteBuilder.addTextIn() requiert un texteIn de type string ",{textIn:t}),t.length>0&&(this.text=t.includes("\\")?latexParCoordonnees(t,(this.xMin+this.xMax)/2,(this.yMin+this.yMax)/2,r??"black",50,0,"",(s??1)*10):texteParPosition(t,(this.xMin+this.xMax)/2,(this.yMin+this.yMax)/2,"milieu",r??"black",s),this.text.opacite=a??1),this}}function polygoneToFlatArray(n){const t=[];for(let r=0;r<n.listePoints.length;r++)t.push(n.listePoints[r].x,n.listePoints[r].y);return t}function parallelogramme2points1hauteur(n,t,r,a){typeof r=="number"&&(r=pointAdistance(t,r,randint(-180,180))),t.nom=n[0],r.nom=n[1];let s=rotation(r,t,90);s=pointSurSegment(t,s,a);const l=translation(s,homothetie(vecteur(t,r),t,randint(-4,4,0)/10),n[3]),u=translation(l,vecteur(t,r),n[2]);return polygoneAvecNom(t,r,u,l)}function NommePolygone(n,t="",r=.5,a="black"){ObjetMathalea2D.call(this,{}),this.poly=n,this.dist=r;const s=t.includes(",")?t.split(","):t;for(let x=0;x<n.listePoints.length;x++)s.length>0&&(n.listePoints[x].nom=s[x]);const l=barycentre(n),u=[];let _=1e3,m=-1e3,g=1e3,f=-1e3;for(const x of n.listePoints){const w=pointSurSegment(l,x,longueur(l,x)+(context.isHtml?r*20/context.pixelsParCm:r/context.scale));w.positionLabel="center",u.push(texteParPoint(x.nom,w,"milieu",a,1,"middle",!0)),_=Math.min(_,w.x-.5),m=Math.max(m,w.x+.5),g=Math.min(g,w.y-.5),f=Math.max(f,w.y+.5)}this.bordures=[_,g,m,f],this.svg=function(x){let w="";for(const Z of u)w+=`
	`+Z.svg(x);return w},this.tikz=function(){let x="";for(const w of u)x+=`
	`+w.tikz();return x}}function nommePolygone(...n){return new NommePolygone(...n)}function motifs(n){switch(n){case 0:return"north east lines";case 1:return"horizontal lines";case 2:return"vertical lines";case 3:return"dots";case 4:return"crosshatch dots";case 5:return"fivepointed stars";case 6:return"sixpointed stars";case 7:return"bricks";case 8:return"checkerboard";case 9:return"grid";case 10:return"crosshatch";default:return"north east lines"}}function pattern({motif:n="north east lines",id:t,distanceDesHachures:r=10,epaisseurDesHachures:a=1,couleurDesHachures:s="black",couleurDeRemplissage:l="none",opaciteDeRemplissage:u=.5}){let _="";if(context.isHtml){switch(l.length<1&&(l="none"),n){case"north east lines":_+=`<pattern id="pattern${t}" width="${r}" height="${r}"  patternTransform="rotate(45 0 0)" patternUnits="userSpaceOnUse">
            <rect x="0" y="0" width="${r}" height="${r}" fill="${l}" fill-opacity="${u}"/>
            <line x1="0" y1="0" x2="0" y2="${r}" style="stroke:${s}; stroke-width:${a}" />
            </pattern>`;break;case"horizontal lines":_+=`<pattern id="pattern${t}" width="${r}" height="${r}"  patternUnits="userSpaceOnUse">
            <rect x="0" y="0" width="${r}" height="${r}" fill="${l}" fill-opacity="${u}"/>
            <line x1="0" y1="${r/2}" x2="${r}" y2="${r/2}" style="stroke:${s}; stroke-width:${a}" />
            </pattern>`;break;case"vertical lines":_+=`<pattern id="pattern${t}" width="${r}" height="${r}"  patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
            <rect x="0" y="0" width="${r}" height="${r}" fill="${l}" fill-opacity="${u}"/>
            <line x1="0" y1="0" x2="0" y2="${r}" style="stroke:${s}; stroke-width:${a}" />
            </pattern>`;break;case"dots":_+=`<pattern id="pattern${t}" width="${r}" height="${r}"  patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
            <circle cx="3" cy="3" r="1.5" fill="${s}" fill-opacity="${u}"/>
            <circle cx="8" cy="3" r="1.5" fill="${s}" fill-opacity="${u}"/>
            <circle cx="3" cy="8" r="1.5" fill="${s}" fill-opacity="${u}"/>
            <circle cx="8" cy="8" r="1.5" fill="${s}" fill-opacity="${u}"/>
            </pattern>`;break;case"crosshatch dots":_+=`<pattern id="pattern${t}" width="12" height="12" x="12" y="12" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
          <circle cx="2" cy="2" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="8" cy="2" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="5" cy="5" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="2" cy="8" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="8" cy="8" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="5" cy="11" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="11" cy="5" r="1.5" fill="${s}" fill-opacity="${u}"/>
          <circle cx="11" cy="11" r="1.5" fill="${s}" fill-opacity="${u}"/>
          </pattern>`;break;case"fivepointed stars":_+=`<pattern id="pattern${t}" width="12" height="12" x="10" y="10" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
          <polygon points="10,5 6.2,4.2 6.6,0.2 4.6,3.6 1,2 3.6,5 1,8 4.6,6.4 6.6,9.8 6.2,5.8 " stroke="${s}"  fill="${l}" fill-opacity="${u}" />
          </pattern>`;break;case"sixpointed stars":_+=`<pattern id="pattern${t}"  width="12" height="12" x="10" y="10" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
        <polygon points="10,5 7.6,3.4 7.6,0.6 5,2 2.6,0.6 2.4,3.4 0,5 2.4,6.4 2.6,9.4 5,8 7.6,9.4 7.6,6.4 " stroke="${s}" fill="${l}" fill-opacity="${u}" />
        </pattern>`;break;case"crosshatch":_+=`<pattern id="pattern${t}" width="12" height="12" x="10" y="10" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
          <polygon points="2,2 7.6,7.6 7,8.4 9.8,8.4 9.8,5.6 9,6.2 3.4,0.6 " stroke="${s}"  fill="${l}" fill-opacity="${u}" />
          </pattern>`;break;case"bricks":_+=`<pattern id="pattern${t}" width="18" height="16" x="18" y="16" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
          <line x1="4" y1="2" x2="4" y2="4" stroke="${s}" fill="${l}" fill-opacity="${u}"  />
          <line x1="0" y1="4" x2="16" y2="4" stroke="${s}" fill="${l}" fill-opacity="${u}"   />
          <line x1="14" y1="4" x2="14" y2="12" stroke="${s}" fill="${l}" fill-opacity="${u}"   />
          <line x1="16" y1="12" x2="0" y2="12" stroke="${s}" fill="${l}" fill-opacity="${u}"   />
          <line x1="4" y1="12" x2="4" y2="16" stroke="${s}" fill="${l}" fill-opacity="${u}"   />
          </pattern>`;break;case"grid":_+=`<pattern id="pattern${t}" width="10" height="10" x="10" y="10" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
          <polyline points="8,8 0,8 0,0 " fill="none" stroke="${s}" />
          </pattern>`;break;case"checkerboard":_+=`<pattern id="pattern${t}" width="8" height="8" x="8" y="8" patternTransform="rotate(0 0 0)" patternUnits="userSpaceOnUse">
          <polygon points="4,4 8,4 8,0 4,0 "  fill="${s}" fill-opacity="${u}" />
          <polygon points="0,4 4,4 4,8 0,8 "  fill="${s}" fill-opacity="${u}" />
        
          </pattern>`;break;default:_+=`<pattern id="pattern${t}" width="${r}" height="${r}"  patternTransform="rotate(45 0 0)" patternUnits="userSpaceOnUse">
        <rect x="0" y="0" width="${r}" height="${r}" fill="${l}" fill-opacity="${u}"/>
        <line x1="0" y1="0" x2="0" y2="${r}" style="stroke:${s}; stroke-width:${a}" />
        </pattern>`;break}return _}else{switch(n){case"north east lines":_=`pattern color = ${s} , pattern = ${n}`;break;case"horizontal lines":_=`pattern color = ${s} , pattern = ${n}`;break;case"vertical lines":_=`pattern color = ${s} , pattern = ${n}`;break;case"dots":_=`pattern color = ${s} , pattern = ${n}`;break;case"crosshatch dots":_=`pattern color = ${s} , pattern = ${n}`;break;case"fivepointed stars":_=`pattern color = ${s} , pattern = ${n}`;break;case"sixpointed stars":_=`pattern color = ${s} , pattern = ${n}`;break;case"crosshatch":_=`pattern color = ${s} , pattern = ${n}`;break;case"bricks":_=`pattern color = ${s} , pattern = ${n}`;break;case"grid":_=`pattern color = ${s} , pattern = ${n}`;break;case"checkerboard":_=`pattern color = ${s} , pattern = ${n}`;break;default:_=`pattern color = ${s} , pattern = north east lines`;break}return`${_}`}}function Point$1(n,t,r,a="above"){this.typeObjet="point",ObjetMathalea2D.call(this,{classe:!1}),this.nom=" ",arguments.length===1?this.nom=n:arguments.length===2?isNaN(n)||isNaN(t)?window.notify(`Point : les coordonnées ne sont pas valides ${n} ${t}`):(this.x=n,this.y=t):(isNaN(n)||isNaN(t)?window.notify(`Point : les coordonnées ne sont pas valides ${n} ${t}`):(this.x=n,this.y=t),this.nom=r),this.positionLabel=a,this.bordures=[this.x,this.y,this.x,this.y],this.xSVG=function(s){return arrondi(this.x*s,1)},this.ySVG=function(s){return arrondi(-this.y*s,1)},this.estDansPolygone=function(s){for(const l of s.triangulation)if(this.estDansTriangle(...l))return!0;return!1},this.estDansTriangle=function(s,l,u){const _=vecteur(this,s),m=vecteur(this,l),g=vecteur(this,u),f=m.x*g.y-m.y*g.x,x=g.x*_.y-g.y*_.x,w=_.x*m.y-_.y*m.x;return superieurouegal(f,0)&&superieurouegal(x,0)&&superieurouegal(w,0)||inferieurouegal(f,0)&&inferieurouegal(x,0)&&inferieurouegal(w,0)},this.estDansPolygoneConvexe=function(s){const l=s.listePoints.length;if(l===3)return this.estDansTriangle(...s.listePoints);{const u=s.listePoints[0],_=s.listePoints[1],m=s.listePoints[l-1],g=polygone(...s.listePoints.slice(1));return this.estDansTriangle(u,_,m)?!0:this.estDansPolygoneConvexe(g)}},this.estDansQuadrilatere=function(s,l,u,_){return this.estDansTriangle(s,l,u)||this.estDansTriangle(s,u,_)},this.estSur=function(s){if(s instanceof Droite$1)return egal(s.a*this.x+s.b*this.y+s.c,0,1e-6);if(s instanceof Segment$1){const l=(s.extremite2.x-s.extremite1.x)*(this.y-s.extremite1.y)-(this.x-s.extremite1.x)*(s.extremite2.y-s.extremite1.y),u=(this.x-s.extremite1.x)*(s.extremite2.x-s.extremite1.x)+(this.y-s.extremite1.y)*(s.extremite2.y-s.extremite1.y),_=(s.extremite2.x-s.extremite1.x)**2+(s.extremite2.y-s.extremite1.y)**2;return egal(l,0,1e-6)&&superieurouegal(u,0)&&inferieurouegal(u,_)}if(s instanceof DemiDroite$1){const l=vecteur(s.extremite1,this),u=vecteur(s.extremite1,s.extremite2),_=l.x*u.x+l.y*u.y,m=l.x*u.y-l.y*u.x;return egal(m,0,1e-6)&&superieurouegal(_,0,1e-6)}if(s instanceof Cercle)return egal(longueur(this,s.centre),s.rayon,1e-6)}}function point(n,t,r,a="above"){return new Point$1(n,t,r,a)}function Plot(n,t,{rayon:r=.05,couleur:a="black",couleurDeRemplissage:s="black",opacite:l=1,opaciteDeRemplissage:u=1}={}){ObjetMathalea2D.call(this,{}),(isNaN(n)||isNaN(t))&&window.notify("Plot : les coordonnées ne sont pas valides",{x:n,y:t}),this.color=colorToLatexOrHTML(a),this.couleurDeRemplissage=colorToLatexOrHTML(s),this.rayon=r,this.x=n,this.y=t,this.bordures=[n-r,t-r,n+r,t+r],this.opacite=l,this.opaciteDeRemplissage=u,this.svg=function(_){return this.couleurDeRemplissage[0]===""?`
	 <circle cx="${this.x*_}" cy="${-this.y*_}" r="${this.rayon*_}" stroke="${this.color[0]}" stroke-opacity="${this.opacite||1}"/>`:`
	 <circle cx="${this.x*_}" cy="${-this.y*_}" r="${this.rayon*_}" stroke="${this.color[0]}" fill="${this.couleurDeRemplissage[0]}" stroke-opacity="${this.opacite||1}" fill-opacity="${this.opaciteDeRemplissage||1}"/>`},this.tikz=function(){const _=[];this.color[1].length>1&&this.color[1]!=="black"&&_.push(`color=${this.color[1]}`),this.epaisseur!==1&&_.push(`line-width=${this.epaisseur}`),this.opacite!==1&&_.push(`opacity=${this.opacite}`),this.opaciteDeRemplissage!==1&&_.push(`fill opacity=${this.opaciteDeRemplissage}`),this.couleurDeRemplissage!==""&&_.push(`fill=${this.couleurDeRemplissage[1]}`);let m=[];return _.length>0&&(m="["+_.join(",")+"]"),`
	 \\filldraw${m} (${this.x},${this.y}) circle (${this.rayon});`}}function plot(n,t,{rayon:r=.05,couleur:a="black",couleurDeRemplissage:s="black",opacite:l=1,opaciteDeRemplissage:u=1}={}){return new Plot(arrondi(n),arrondi(t),{rayon:r,couleur:a,couleurDeRemplissage:s,opacite:l,opaciteDeRemplissage:u})}function TracePoint(...n){ObjetMathalea2D.call(this,{}),this.taille=3,this.tailleTikz=this.taille/30,this.epaisseur=1,this.opacite=.8,this.style="x";let t=1e3,r=-1e3,a=1e3,s=-1e3,l;typeof n[n.length-1]=="string"?(this.color=colorToLatexOrHTML(n[n.length-1]),n.length--):this.color=colorToLatexOrHTML("black");for(const u of n)u.typeObjet!=="point3d"&&u.typeObjet!=="point"&&window.notify("TracePoint : argument invalide",{...n}),l=u.typeObjet==="point"?u:u.c2d,t=Math.min(t,l.x-this.taille/context.pixelsParCm),r=Math.max(r,l.x+this.taille/context.pixelsParCm),a=Math.min(a,l.y-this.taille/context.pixelsParCm),s=Math.max(s,l.y+this.taille/context.pixelsParCm);this.bordures=[t,a,r,s],this.svg=function(u){const _=[];let m,g,f,x,w,Z;for(const ne of n)ne.typeObjet==="point3d"?Z=ne.c2d:Z=ne,Z.constructor===Point$1&&(this.style==="x"?(m=segment(point(Z.x-this.taille/u,Z.y+this.taille/u),point(Z.x+this.taille/u,Z.y-this.taille/u),this.color[0]),g=segment(point(Z.x-this.taille/u,Z.y-this.taille/u),point(Z.x+this.taille/u,Z.y+this.taille/u),this.color[0]),m.epaisseur=this.epaisseur,g.epaisseur=this.epaisseur,m.opacite=this.opacite,g.opacite=this.opacite,_.push(m,g),m.isVisible=!1,g.isVisible=!1):this.style==="o"?(f=point(Z.x,Z.y),w=cercle(f,this.taille/u,this.color[0]),w.isVisible=!1,w.epaisseur=this.epaisseur,w.opacite=this.opacite,w.couleurDeRemplissage=this.color[0],w.opaciteDeRemplissage=this.opacite/2,_.push(w)):this.style==="#"?(f=point(Z.x-this.taille/u,Z.y-this.taille/u),x=point(Z.x+this.taille/u,Z.y-this.taille/u),w=carre$2(f,x,this.color[0]),w.isVisible=!1,w.epaisseur=this.epaisseur,w.opacite=this.opacite,w.couleurDeRemplissage=this.color[0],w.opaciteDeRemplissage=this.opacite/2,_.push(w)):this.style==="+"?(m=segment(point(Z.x,Z.y+this.taille/u),point(Z.x,Z.y-this.taille/u),this.color[0]),g=segment(point(Z.x-this.taille/u,Z.y),point(Z.x+this.taille/u,Z.y),this.color[0]),m.epaisseur=this.epaisseur,g.epaisseur=this.epaisseur,m.opacite=this.opacite,g.opacite=this.opacite,_.push(m,g)):this.style==="|"?(m=segment(point(Z.x,Z.y+this.taille/u),point(Z.x,Z.y-this.taille/u),this.color[0]),m.epaisseur=this.epaisseur,m.opacite=this.opacite,_.push(m)):this.style==="."&&(m=plot(Z.x,Z.y,{couleur:this.color[0],rayon:this.epaisseur*.05,couleurDeRemplissage:this.color[0]}),_.push(m)));let Ce="";for(const ne of _)Ce+=`
	`+ne.svg(u);return Ce=`<g id="${this.id}">`+Ce+"</g>",Ce},this.tikz=function(){const u=[];let _,m,g,f,x,w;for(const Ce of n)Ce.typeObjet==="point3d"?w=Ce.c2d:w=Ce,w.constructor===Point$1&&(this.style==="x"?(this.tailleTikz=this.taille/16,_=segment(point(w.x-this.tailleTikz,w.y+this.tailleTikz),point(w.x+this.tailleTikz,w.y-this.tailleTikz),this.color[1]),m=segment(point(w.x-this.tailleTikz,w.y-this.tailleTikz),point(w.x+this.tailleTikz,w.y+this.tailleTikz),this.color[1]),_.epaisseur=this.epaisseur/1.6,m.epaisseur=this.epaisseur/1.6,_.opacite=this.opacite,m.opacite=this.opacite,u.push(_,m)):this.style==="o"?(g=point(w.x,w.y),x=cercle(g,this.tailleTikz,this.color[1]),x.epaisseur=this.epaisseur,x.opacite=this.opacite,x.couleurDeRemplissage=this.color,x.opaciteDeRemplissage=this.opacite/2,u.push(x)):this.style==="#"?(g=point(w.x-this.tailleTikz,w.y-this.tailleTikz),f=point(w.x+this.tailleTikz,w.y-this.tailleTikz),x=carre$2(f,g,this.color[1]),x.epaisseur=this.epaisseur,x.opacite=this.opacite,x.couleurDeRemplissage=this.color,x.opaciteDeRemplissage=this.opacite/2,u.push(x)):this.style==="+"?(_=segment(point(w.x,w.y+this.tailleTikz),point(w.x,w.y-this.tailleTikz),this.color[1]),m=segment(point(w.x-this.tailleTikz,w.y),point(w.x+this.tailleTikz,w.y),this.color[1]),_.epaisseur=this.epaisseur,m.epaisseur=this.epaisseur,_.opacite=this.opacite,m.opacite=this.opacite,u.push(_,m)):this.style==="|"?(_=segment(point(w.x,w.y+this.tailleTikz),point(w.x,w.y-this.tailleTikz),this.color[1]),_.epaisseur=this.epaisseur,_.opacite=this.opacite,u.push(_)):this.style==="."&&(_=plot(w.x,w.y,{couleur:this.color[0],rayon:this.epaisseur*.05,couleurDeRemplissage:this.color[1]}),u.push(_)));let Z="";for(const Ce of u)Z+=`
	`+Ce.tikz();return Z}}function tracePoint(...n){return new TracePoint(...n)}function TracePointSurDroite(n,t,r="black"){ObjetMathalea2D.call(this,{}),this.color=r,this.lieu=n,this.taille=.2,this.x=n.x,this.y=n.y;let a,s;this.bordures=[n.x-.2,n.y-.2,n.x+.2,n.x+.2],t.constructor===Point$1&&(longueur(this.lieu,t)<.001&&window.notify("TracePointSurDroite : points trop rapprochés pour définir une droite",{A:n,O:t}),a=pointSurSegment(this.lieu,t,1),this.direction=rotation(a,this.lieu,90)),t.constructor===Droite$1&&(s=droiteParPointEtPerpendiculaire(this.lieu,t),s.isVisible=!1,this.direction=pointSurSegment(point(s.x1,s.y1),point(s.x2,s.y2),1)),this.svg=function(l){const u=pointSurSegment(this.lieu,this.direction,this.taille*20/l),_=pointSurSegment(this.lieu,this.direction,-this.taille*20/l),m=segment(u,_,this.color);return this.id=m.id,m.svg(l)},this.tikz=function(){const l=pointSurSegment(this.lieu,this.direction,this.taille/context.scale),u=pointSurSegment(this.lieu,this.direction,-this.taille/context.scale);return segment(l,u,this.color).tikz()}}function tracePointSurDroite(n,t,r="black"){return new TracePointSurDroite(n,t,r)}function milieu(n,t,r,a="above"){isNaN(longueur(n,t))&&window.notify("milieu : Quelque chose ne va pas avec les points",{A:n,B:t});const s=(n.x+t.x)/2,l=(n.y+t.y)/2;return new Point$1(s,l,r,a)}function pointSurSegment(n,t,r,a="",s="above"){return isNaN(longueur(n,t))&&window.notify("pointSurSegment : Quelque chose ne va pas avec les points",{A:n,B:t}),longueur(n,t)===0?n:((r===void 0||typeof r=="string")&&(r=longueur(n,t)*randint(15,85)/100),homothetie(t,n,r/longueur(n,t),a,s))}function pointSurCercle(n,t,r,a="above"){typeof t!="number"&&(t=randint(-180,180));const s=n.centre.x+n.rayon*Math.cos(radians(t)),l=n.centre.y+n.rayon*Math.sin(radians(t));return point(s,l,r,a)}function pointSurDroite(n,t,r,a="above"){return n.b===0?point(-n.c/n.a,t,r,a):n.a===0?point(t,-n.c/n.b,r,a):point(t,(-n.c-n.a*t)/n.b,r,a)}function pointIntersectionDD(n,t,r="",a="above"){let s,l;return egal(t.a*n.b-t.b*n.a,0,1e-6)?!1:(l=(t.c*n.a-n.c*t.a)/(t.a*n.b-t.b*n.a),egal(n.a,0,.01)?s=(-t.c-t.b*l)/t.a:s=(-n.c-n.b*l)/n.a,point(s,l,r,a))}function pointAdistance(...n){const t=n.length,r=randint(1,360),a=n[0],s=point(a.x+1,a.y),l=n[1];return t<2?!1:t===2?similitude(s,a,r,l):t===3?typeof n[2]=="number"?similitude(s,a,n[2],l):similitude(s,a,r,l,n[2]):t===4?typeof n[2]=="number"?similitude(s,a,n[2],l,n[3]):similitude(s,a,r,l,n[2],n[3]):similitude(s,a,n[2],l,n[3],n[4])}function pointIntersectionLC(n,t,r="",a=1){const s=t.centre,l=t.rayon,u=n.a,_=n.b,m=n.c,g=s.x,f=s.y;let x,w,Z,Ce,ne,$e;if(egal(_,0,1e-6)){if(Z=-m/u,ne=Z,x=4*(-g*g-m*m/(u*u)-2*g*m/u+l*l),x<0)return!1;egal(x,0)?(Ce=f+Math.sqrt(x)/2,$e=Ce):(Ce=f-Math.sqrt(x)/2,$e=f+Math.sqrt(x)/2)}else if(egal(u,0,1e-7)){if(Ce=-m/_,$e=Ce,x=4*(-f*f-m*m/(_*_)-2*f*m/_+l*l),x<0)return!1;egal(x,0)?(Z=g+Math.sqrt(x)/2,ne=Z):(Z=g-Math.sqrt(x)/2,ne=g+Math.sqrt(x)/2)}else{if(x=(2*(u*m/(_*_)+f*u/_-g))**2-4*(1+(u/_)**2)*(g*g+f*f+(m/_)**2+2*f*m/_-l*l),x<0)return!1;egal(x,0)?(w=Math.sqrt(x),Z=(-2*(u*m/(_*_)+f*u/_-g)-w)/(2*(1+(u/_)**2)),ne=Z,Ce=(-u*Z-m)/_,$e=Ce):(w=Math.sqrt(x),Z=(-2*(u*m/(_*_)+f*u/_-g)-w)/(2*(1+(u/_)**2)),ne=(-2*(u*m/(_*_)+f*u/_-g)+w)/(2*(1+(u/_)**2)),Ce=(-u*Z-m)/_,$e=(-u*ne-m)/_)}return a===1?$e>Ce?point(ne,$e,r):point(Z,Ce,r):$e>Ce?point(Z,Ce,r):point(ne,$e,r)}function pointIntersectionCC(n,t,r="",a=1){const s=n.centre,l=t.centre,u=n.rayon,_=t.rayon,m=s.x,g=l.x,f=s.y,x=l.y,w=g-m,Z=x-f,Ce=Math.sqrt(Z*Z+w*w);if(Ce>u+_||Ce<Math.abs(u-_))return!1;const ne=(u*u-_*_+Ce*Ce)/(2*Ce),$e=m+w*ne/Ce,Ie=f+Z*ne/Ce,Dt=Math.sqrt(u*u-ne*ne),Lr=-Z*(Dt/Ce),ec=w*(Dt/Ce),ys=$e+Lr,tc=$e-Lr,nc=Ie+ec,ac=Ie-ec;return a===1?ac>nc?point(tc,ac,r):point(ys,nc,r):ac>nc?point(ys,nc,r):point(tc,ac,r)}function droiteAvecNomLatex(n,t){let r,a;if(egal(n.b,0,.05))r=-n.c/n.a+.8,a=context.fenetreMathalea2d[1]+1;else if(egal(n.a,0,.05))r=context.fenetreMathalea2d[0]+.8,a=-n.c/n.b+.8;else{const l=(-n.a*(context.fenetreMathalea2d[0]+1)-n.c)/n.b,u=(-n.a*(context.fenetreMathalea2d[2]-1)-n.c)/n.b,_=(-n.b*(context.fenetreMathalea2d[1]+1)-n.c)/n.a,m=(-n.b*(context.fenetreMathalea2d[3]-1)-n.c)/n.a;l>context.fenetreMathalea2d[1]&&l<context.fenetreMathalea2d[3]?(r=context.fenetreMathalea2d[0]+1,a=l+n.pente):u>context.fenetreMathalea2d[1]&&u<context.fenetreMathalea2d[3]?(r=context.fenetreMathalea2d[2]-1,a=u-n.pente):_>context.fenetreMathalea2d[0]&&_<context.fenetreMathalea2d[2]?(r=_,a=context.fenetreMathalea2d[1]+Math.abs(n.pente)):m>context.fenetreMathalea2d[0]&&m<context.fenetreMathalea2d[2]?(r=m,a=context.fenetreMathalea2d[3]+n.pente):(r=(context.fenetreMathalea2d[0]+context.fenetreMathalea2d[2])/2,a=pointSurDroite(n,r).y)}const s=latexParCoordonnees(t,r,a,n.color,0,0,"",8);return[n,s]}function Droite$1(n,t,r,a,s){let l,u,_;ObjetMathalea2D.call(this,{}),arguments.length===2?((isNaN(n.x)||isNaN(n.y)||isNaN(t.x)||isNaN(t.y))&&window.notify("Droite : (attendus : A et B) les arguments de sont pas des points valides",{arg1:n,arg2:t}),this.nom="",this.pointilles=0,this.opacite=1,this.epaisseur=1,this.x1=n.x,this.y1=n.y,this.x2=t.x,this.y2=t.y,this.a=this.y1-this.y2,this.b=this.x2-this.x1,this.c=(this.x1-this.x2)*this.y1+(this.y2-this.y1)*this.x1):arguments.length===3?typeof n=="number"?((isNaN(n)||isNaN(t)||isNaN(r))&&window.notify("Droite : (attendus : a, b et c) les arguments de sont pas des nombres valides",{arg1:n,arg2:t,arg3:r}),this.nom="",this.a=n,this.b=t,this.c=r,l=n,u=t,_=r,egal(l,0)?(this.x1=0,this.x2=1,this.y1=-_/u,this.y2=-_/u):egal(u,0)?(this.y1=0,this.y2=1,this.x1=-_/l,this.x2=-_/l):(this.x1=0,this.y1=-_/u,this.x2=1,this.y2=(-_-l)/u)):((isNaN(n.x)||isNaN(n.y)||isNaN(t.x)||isNaN(t.y))&&window.notify('Droite : (attendus : A, B et "nom") les arguments de sont pas des points valides',{arg1:n,arg2:t}),this.x1=n.x,this.y1=n.y,this.x2=t.x,this.y2=t.y,this.a=this.y1-this.y2,this.b=this.x2-this.x1,this.c=(this.x1-this.x2)*this.y1+(this.y2-this.y1)*this.x1,this.nom=r):arguments.length===4?typeof n=="number"?((isNaN(n)||isNaN(t)||isNaN(r))&&window.notify('Droite : (attendus : a, b, c et "nom") les arguments de sont pas des nombres valides',{arg1:n,arg2:t,arg3:r}),this.a=n,this.b=t,this.c=r,l=n,u=t,_=r,this.nom=a,egal(l,0)?(this.x1=0,this.x2=1,this.y1=-_/u,this.y2=-_/u):egal(u,0)?(this.y1=0,this.y2=1,this.x1=-_/l,this.x2=-_/l):(this.x1=0,this.y1=-_/u,this.x2=1,this.y2=(-_-l)/u)):((isNaN(n.x)||isNaN(n.y)||isNaN(t.x)||isNaN(t.y))&&window.notify('Droite : (attendus : A, B, "nom" et "couleur") les arguments de sont pas des points valides',{arg1:n,arg2:t}),this.x1=n.x,this.y1=n.y,this.x2=t.x,this.y2=t.y,this.a=this.y1-this.y2,this.b=this.x2-this.x1,this.c=(this.x1-this.x2)*this.y1+(this.y2-this.y1)*this.x1,this.nom=r,this.color=colorToLatexOrHTML(a)):((isNaN(n)||isNaN(t)||isNaN(r))&&window.notify('Droite : (attendus : a, b, c et "nom") les arguments de sont pas des nombres valides',{arg1:n,arg2:t,arg3:r}),this.a=n,this.b=t,this.c=r,l=n,u=t,_=r,this.nom=a,this.color=colorToLatexOrHTML(s),egal(l,0)?(this.x1=0,this.x2=1,this.y1=-_/u,this.y2=-_/u):egal(u,0)?(this.y1=0,this.y2=1,this.x1=-_/l,this.x2=-_/l):(this.x1=0,this.y1=-_/u,this.x2=1,this.y2=(-_-l)/u)),this.b!==0&&(this.pente=-this.a/this.b);let m,g;this.x1>this.x2&&(m=this.x1,g=this.y1,this.x1=this.x2+0,this.y1=this.y2+0,this.x2=m,this.y2=g),this.normal=vecteur(this.a,this.b),this.directeur=vecteur(this.b,-this.a),this.angleAvecHorizontale=angleOriente(point(1,0),point(0,0),point(this.directeur.x,this.directeur.y)),this.bordures=[Math.min(this.x1,this.x2),Math.min(this.y1,this.y2),Math.max(this.x1,this.x2),Math.max(this.y1,this.y2)];let f,x,w;if(this.nom!==""){if(egal(this.b,0,.05))f=-this.c/this.a+.8,x=context.fenetreMathalea2d[1]+1;else if(egal(this.a,0,.05))f=context.fenetreMathalea2d[0]+.8,x=-this.c/this.b+.8;else{const Z=(-this.a*(context.fenetreMathalea2d[0]+1)-this.c)/this.b,Ce=(-this.a*(context.fenetreMathalea2d[2]-1)-this.c)/this.b,ne=(-this.b*(context.fenetreMathalea2d[1]+1)-this.c)/this.a,$e=(-this.b*(context.fenetreMathalea2d[3]-1)-this.c)/this.a;Z>context.fenetreMathalea2d[1]&&Z<context.fenetreMathalea2d[3]?(f=context.fenetreMathalea2d[0]+1,x=Z+this.pente):Ce>context.fenetreMathalea2d[1]&&Ce<context.fenetreMathalea2d[3]?(f=context.fenetreMathalea2d[2]-1,x=Ce-this.pente):ne>context.fenetreMathalea2d[0]&&ne<context.fenetreMathalea2d[2]?(f=ne,x=context.fenetreMathalea2d[1]+Math.abs(this.pente)):$e>context.fenetreMathalea2d[0]&&$e<context.fenetreMathalea2d[2]?(f=$e,x=context.fenetreMathalea2d[3]+this.pente):(f=(context.fenetreMathalea2d[0]+context.fenetreMathalea2d[2])/2,x=pointSurDroite(this,f).y)}this.nom.includes("$")?w=latexParCoordonnees(this.nom,f,x,this.color,0,0,"",8):w=texteParPosition(this.nom,f,x,"milieu",this.color,1,"middle",!0)}if(this.nom.includes("$"))return window.notify(`Droite() appelé avec un nom contenant du Latex... utiliser droiteAvecNom() à la place !
On va retourner un array contenant la droite et un latexParCoordonnees dans un proche avenir !
Il faut donc adapter l'exo qui a provoqué ça.
 Pour l'instant on retourne une droite sans nom.`,{nom:this.nom}),new Droite$1(point(this.x1,this.y1),point(this.x2,this.y2));this.svg=function(Z){switch(this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `);const Ce=point(this.x1,this.y1),ne=point(this.x2,this.y2),$e=pointSurSegment(Ce,ne,-50),Ie=pointSurSegment(ne,Ce,-50);return this.nom===""?`<line x1="${$e.xSVG(Z)}" y1="${$e.ySVG(Z)}" x2="${Ie.xSVG(Z)}" y2="${Ie.ySVG(Z)}" stroke="${this.color[0]}" ${this.style} id ="${this.id}" />`:`<line x1="${$e.xSVG(Z)}" y1="${$e.ySVG(Z)}" x2="${Ie.xSVG(Z)}" y2="${Ie.ySVG(Z)}" stroke="${this.color[0]}" ${this.style} id ="${this.id}" />`+w.svg(Z)},this.tikz=function(){const Z=[];switch(this.color[1].length>1&&this.color[1]!=="black"&&Z.push(`color=${this.color[1]}`),this.epaisseur!==1&&Z.push(`line width = ${this.epaisseur}`),this.pointilles){case 1:Z.push(" dash dot ");break;case 2:Z.push(" densely dash dot dot ");break;case 3:Z.push(" dash dot dot ");break;case 4:Z.push(" dotted ");break;case 5:Z.push(" dashed ");break}this.opacite!==1&&Z.push(`opacity = ${this.opacite}`);let Ce=[];Z.length>0&&(Ce="["+Z.join(",")+"]");const ne=point(this.x1,this.y1),$e=point(this.x2,this.y2),Ie=pointSurSegment(ne,$e,-50),Dt=pointSurSegment($e,ne,-50);return this.nom!==""?`\\draw${Ce} (${Ie.x},${Ie.y})--(${Dt.x},${Dt.y});`+w.tikz():`\\draw${Ce} (${Ie.x},${Ie.y})--(${Dt.x},${Dt.y});`},this.svgml=function(Z,Ce){const ne=point(this.x1,this.y1),$e=point(this.x2,this.y2),Ie=pointSurSegment(ne,$e,-50),Dt=pointSurSegment($e,ne,-50),Lr=segment(Ie,Dt,this.color[0]);return Lr.isVisible=this.isVisible,Lr.svgml(Z,Ce)},this.tikzml=function(Z){const Ce=point(this.x1,this.y1),ne=point(this.x2,this.y2),$e=pointSurSegment(Ce,ne,-50),Ie=pointSurSegment(ne,Ce,-50),Dt=segment($e,Ie,this.color[1]);return Dt.isVisible=this.isVisible,Dt.tikzml(Z)}}function droite(...n){return new Droite$1(...n)}function dessousDessus(n,t,r=1e-4){return egal(n.a*t.x+n.b*t.y+n.c,0,r)?"sur":egal(n.b,0)?t.x<-n.c/n.a?"gauche":"droite":n.a*t.x+n.b*t.y+n.c<0?"dessous":"dessus"}function positionLabelDroite(n,{xmin:t=0,ymin:r=0,xmax:a=10,ymax:s=10}){let l,u,_,m,g,f;if(n.b===0)l=-n.b/n.c-.5,u=s-.5;else{const w=Z=>(-n.c-n.a*Z)/n.b;if(_=w(a),_<=s&&_>=r)l=a-.8,u=w(l);else if(g=w(t),g<=s&&g>=r)l=t+.8,u=w(l);else{const Z=Ce=>(-n.c-n.b*Ce)/n.a;if(m=Z(s),m<=a&&m>=t)u=s-.8,l=Z(u);else if(f=Z(r),f<=a&&f>=t)u=r+.8,l=Z(u);else return vide2d()}}return translation(point(l,u),homothetie(vecteur(n.a,n.b),point(0,0),.5/norme(vecteur(n.a,n.b))))}function droiteParPointEtVecteur(n,t,r="",a="black"){const s=point(n.x+t.x,n.y+t.y);return new Droite$1(n,s,r,a)}function droiteParPointEtParallele(n,t,r="",a="black"){return droiteParPointEtVecteur(n,t.directeur,r,a)}function droiteParPointEtPerpendiculaire(n,t,r="",a="black"){return droiteParPointEtVecteur(n,t.normal,r,a)}function droiteHorizontaleParPoint(n,t="",r="black"){return droiteParPointEtPente(n,0,t,r)}function droiteVerticaleParPoint(n,t="",r="black"){return droiteParPointEtVecteur(n,vecteur(0,1),t,r)}function droiteParPointEtPente(n,t,r="",a="black"){const s=point(n.x+1,n.y+t);return new Droite$1(n,s,r,a)}function Mediatrice(n,t,r="",a="red",s="blue",l="black",u=!1,_=!1,m="×",g="||",f=1,x=1,w=0){longueur(n,t)<.1&&window.notify("ConstructionMediatrice : Points trop rapprochés pour créer cet objet",{A:n,B:t}),ObjetMathalea2D.call(this,{}),this.color=s,this.couleurMediatrice=a,this.epaisseurMediatrice=f,this.opaciteMediatrice=x,this.pointillesMediatrice=w,this.couleurConstruction=l;const Z=milieu(n,t),Ce=rotation(n,Z,90),ne=rotation(n,Z,-90),$e=pointSurSegment(Z,Ce,longueur(n,t)*.785),Ie=pointSurSegment(Z,ne,longueur(n,t)*.785),Dt=droite($e,Ie,r,this.couleurMediatrice);if(arguments.length<5)return Dt;{Dt.isVisible=!1,Dt.epaisseur=this.epaisseurMediatrice,Dt.opacite=this.opaciteMediatrice,Dt.pointilles=this.pointillesMediatrice;const Lr=[Dt];if(u){const ec=traceCompas(n,$e,20,this.couleurConstruction),ys=traceCompas(t,$e,20,this.couleurConstruction),tc=traceCompas(n,Ie,20,this.couleurConstruction),nc=traceCompas(t,Ie,20,this.couleurConstruction);ec.isVisible=!1,ys.isVisible=!1,tc.isVisible=!1,nc.isVisible=!1;const ac=codageMediatrice(n,t,this.color,m);ac.isVisible=!1,Lr.push(ec,ys,tc,nc,Dt,ac)}if(_){const ec=segment(n,$e,this.couleurConstruction);ec.pointilles=5;const ys=segment(t,$e,this.couleurConstruction);ys.pointilles=5;const tc=segment(n,Ie,this.couleurConstruction);tc.pointilles=5;const nc=segment(t,Ie,this.couleurConstruction);nc.pointilles=5;const ac=codageSegments(g,this.color,n,$e,t,$e,n,Ie,t,Ie);Lr.push(ec,ys,tc,nc,ac)}this.svg=function(ec){let ys="";for(const tc of Lr)ys+=`
	`+tc.svg(ec);return ys=`<g id="${this.id}">${ys}</g>`,ys},this.tikz=function(){let ec="";for(const ys of Lr)ec+=`
	`+ys.tikz();return ec},this.svgml=function(ec,ys){let tc="";for(const nc of Lr)typeof nc.svgml>"u"?tc+=`
	`+nc.svg(ec):tc+=`
	`+nc.svgml(ec,ys);return tc},this.tikzml=function(ec){let ys="";for(const tc of Lr)typeof tc.tikzml>"u"?ys+=`
	`+tc.tikz():ys+=`
	`+tc.tikzml(ec);return ys}}}function mediatrice(n,t,r="",a="red",s="blue",l="black",u=!1,_=!1,m="×",g="||",f=1,x=1,w=0){return arguments.length<5?new Mediatrice(n,t,r,a):new Mediatrice(n,t,r,a,s,l,u,_,m,g,f,x,w)}function Bissectrice(n,t,r,a="red",s="blue",l="black",u=!1,_=!1,m="×",g=5,f=1,x=1,w=""){ObjetMathalea2D.call(this,{}),this.color=s,this.tailleLosange=g,this.mark=m,this.couleurBissectrice=a,this.epaisseurBissectrice=f,this.couleurConstruction=l,this.opaciteBissectrice=x,this.pointillesBissectrice=w,(longueur(n,t)<.001||longueur(t,r)<.001)&&window.notify("Bissectrice : points confondus",{A:n,O:t,B:r});const Z=angleOriente(n,t,r)/2,Ce=pointSurSegment(t,n,3),ne=rotation(Ce,t,Z),$e=demiDroite(t,ne,this.couleurBissectrice);if(arguments.length<5)return $e;{$e.epaisseur=this.epaisseurBissectrice,$e.opacite=this.opaciteBissectrice,$e.pointilles=this.pointillesBissectrice;const Ie=[$e],Dt=pointSurSegment(t,n,this.tailleLosange),Lr=pointSurSegment(t,r,this.tailleLosange),ec=droite(Dt,Lr);ec.isVisible=!1;const ys=symetrieAxiale(t,ec);if(u||_){if(!Dt.estSur(segment(t,n))){const tc=segment(t,Dt,this.couleurConstruction);Ie.push(tc)}if(!Lr.estSur(segment(t,r))){const tc=segment(t,Lr,this.couleurConstruction);Ie.push(tc)}if(u){const tc=codageBissectrice(n,t,r,this.color,m),nc=traceCompas(Lr,ys,20,this.couleurConstruction),ac=traceCompas(Dt,ys,20,this.couleurConstruction),sc=traceCompas(t,Dt,20,this.couleurConstruction),cc=traceCompas(t,Lr,20,this.couleurConstruction);Ie.push(tc,nc,ac,sc,cc)}if(_){const tc=segment(Dt,ys,this.couleurConstruction),nc=segment(Lr,ys,this.couleurConstruction);tc.pointilles=5,nc.pointilles=5;const ac=codageSegments(this.mark,this.color,t,Dt,Dt,ys,t,Lr,Lr,ys);Ie.push(tc,nc,ac)}}this.svg=function(tc){let nc="";for(const ac of Ie)nc+=`
	`+ac.svg(tc);return nc},this.tikz=function(){let tc="";for(const nc of Ie)tc+=`
	`+nc.tikz();return tc}}}function bissectrice(n,t,r,a="red",s="blue",l="black",u=!1,_=!1,m="×",g=5,f=1,x=1,w=""){return new Bissectrice(n,t,r,a,s,l,u,_,m,g,f,x,w)}function distancePointDroite(n,t){const r=projectionOrtho(n,t);return longueur(n,r,9)}function CodageMilieu(n,t,r="black",a="×",s=!0){longueur(n,t)<.1&&window.notify("CodageMilieu : Points trop rapprochés pour créer ce codage",{A:n,B:t}),ObjetMathalea2D.call(this,{}),this.color=r;const l=milieu(n,t),u=droite(n,t),_=tracePointSurDroite(l,u,this.color),m=codageSegments(a,this.color,n,l,l,t);let g="";this.svg=function(f){return s?g=_.svg(f)+`
`+m.svg(f):g=m.svg(f),g=`<g id="${this.id}">${g}</g>`,g},this.tikz=function(){return s?_.tikz()+`
`+m.tikz():m.tikz()}}function codageMilieu(n,t,r="black",a="×",s=!0){return new CodageMilieu(n,t,r,a,s)}function CodageMediatrice(n,t,r="black",a="×"){longueur(n,t)<.1&&window.notify("CodageMediatrice : Points trop rapprochés pour créer ce codage",{A:n,B:t}),ObjetMathalea2D.call(this,{}),this.color=r;const s=milieu(n,t),l=rotation(n,s,90),u=codageAngleDroit(l,s,t,this.color),_=codageSegments(a,this.color,n,s,s,t);u.isVisible=!1,_.isVisible=!1,this.svg=function(m){return`<g id="${this.id}">${u.svg(m)+`
`+_.svg(m)}</g>`},this.tikz=function(){return u.tikz()+`
`+_.tikz()},this.svgml=function(m,g){return u.svgml(m,g)+`
`+_.svg(m)},this.tikzml=function(m){return u.tikzml(m)+`
`+_.tikz()}}function codageMediatrice(n,t,r="black",a="×"){return new CodageMediatrice(n,t,r,a)}function CodageBissectrice(n,t,r,a="black",s="x"){ObjetMathalea2D.call(this,{}),this.color=a,this.mark=s,this.centre=t,this.depart=pointSurSegment(t,n,1.5);const l=angleOriente(n,t,r)/2,u=rotation(this.depart,t,l);this.svg=function(_){const m=codageAngle(pointSurSegment(this.centre,this.depart,30/_),t,l,30/_,this.mark,this.color,1,1),g=codageAngle(pointSurSegment(this.centre,u,30/_),t,l,30/_,this.mark,this.color,1,1);return m.svg(_)+`
`+g.svg(_)+`
`},this.tikz=function(){const _=codageAngle(pointSurSegment(this.centre,this.depart,1.5/context.scale),t,l,1.5/context.scale,this.mark,this.color,1,1),m=codageAngle(pointSurSegment(this.centre,u,1.5/context.scale),t,l,1.5/context.scale,this.mark,this.color,1,1);return _.tikz()+`
`+m.tikz()+`
`}}function codageBissectrice(n,t,r,a="black",s="x"){return new CodageBissectrice(n,t,r,a,s)}function CodageCarre(n,t="black",r="×"){const a=[];a.push(codageSegments(r,t,n.listePoints)),a.push(codageAngleDroit(n.listePoints[0],n.listePoints[1],n.listePoints[2],t)),a.push(codageAngleDroit(n.listePoints[1],n.listePoints[2],n.listePoints[3],t)),a.push(codageAngleDroit(n.listePoints[2],n.listePoints[3],n.listePoints[0],t)),a.push(codageAngleDroit(n.listePoints[3],n.listePoints[0],n.listePoints[1],t)),this.svg=function(s){let l="";for(const u of a)l+=`
	`+u.svg(s);return l},this.tikz=function(){let s="";for(const l of a)s+=`
	`+l.tikz();return s}}function codageCarre(n,t="black",r="×"){return new CodageCarre(n,t,r)}function AfficheLongueurSegment(n,t,r="black",a=.5,s="cm",l=!1,u=1){ObjetMathalea2D.call(this,{}),this.color=r;const _=milieu(n,t),m=rotation(n,_,-90),g=segment(n,t);let f;g.isVisible=!1;const w=`${stringNombre(g.longueur,u)}${s!==""?" "+s:""}`;this.distance=l?a-.1+w.length/10:a,l?f=0:t.x>n.x?f=-g.angleAvecHorizontale:f=180-g.angleAvecHorizontale,this.bordures=[_.x-.5,_.y-.5,_.x+.5,_.y+.5],this.svg=function(Z){const Ce=pointSurSegment(_,m,this.distance*20/Z);return texteParPoint(w,Ce,f,this.color,1,"middle",!1).svg(Z)},this.tikz=function(){const Z=pointSurSegment(_,m,this.distance/context.scale);return texteParPoint(w,Z,f,this.color,1,"middle",!1).tikz()}}function afficheLongueurSegment(n,t,r="black",a=.5,s="cm",l=!1,u=1){return new AfficheLongueurSegment(n,t,r,a,s,l,u)}function TexteSurSegment(n,t,r,a="black",s=.5,l=!1){ObjetMathalea2D.call(this,{}),longueur(t,r)<.1&&window.notify("TexteSurSegment : Points trop proches pour cette fonction",{A:t,B:r}),this.color=a,this.extremite1=t,this.extremite2=r,this.texte=String(n),this.scale=1,this.mathOn=!0,this.distance=l?s-.1+(isNumeric(this.texte)?nombreDeChiffresDe(this.texte):this.texte.length)/10:s;const u=milieu(this.extremite1,this.extremite2),_=rotation(this.extremite1,u,-90),m=segment(this.extremite1,this.extremite2);let g;const f=pointSurSegment(u,_,this.distance),x=.2*(this.texte.length??2);this.bordures=[f.x-x,f.y-x,f.x+x,f.y+x],l?g=0:this.extremite2.x>this.extremite1.x?(g=-m.angleAvecHorizontale,g=-m.angleAvecHorizontale):(g=180-m.angleAvecHorizontale,g=180-m.angleAvecHorizontale),this.svg=function(w){const Z=pointSurSegment(u,_,this.distance*20/w);return texteParPoint(this.texte,Z,g,this.color,this.scale,"middle",this.mathOn).svg(w)},this.tikz=function(){const w=pointSurSegment(u,_,this.distance/context.scale);return texteParPoint(this.texte,w,g,this.color,this.scale,"middle",this.mathOn).tikz()}}function texteSurSegment(n="",t,r,a="black",s,l){return new TexteSurSegment(n,t,r,a,s,l)}function TexteSurArc(n,t,r,a,s="black",l=.5,u=!1){ObjetMathalea2D.call(this,{}),this.color=s,this.extremite1=t,this.extremite2=r,this.distance=-l,this.texte=n;let _;a<0?_=(a+180)/2:_=(a-180)/2;const m=mediatrice(t,r);m.isVisible=!1;const g=droite(t,r);g.isVisible=!1;const f=rotation(g,r,_);f.isVisible=!1;const x=m.a*f.b-f.a*m.b,w=(m.b*f.c-f.b*m.c)/x,Z=(f.a*m.c-m.a*f.c)/x,Ce=point(w,Z),ne=segment(this.extremite1,this.extremite2);ne.isVisible=!1;const $e=rotation(t,Ce,a/2),Ie=pointSurSegment($e,Ce,this.distance),Dt=.2*n.length;this.bordures=[Ie.x-Dt,Ie.y-Dt,Ie.x+Dt,Ie.y+Dt],this.svg=function(Lr){const ec=pointSurSegment($e,Ce,this.distance*20/Lr);return this.extremite2.x>this.extremite1.x?a=-ne.angleAvecHorizontale:a=180-ne.angleAvecHorizontale,this.texte.charAt(0)==="$"?latexParPoint(this.texte.substr(1,this.texte.length-2),ec,this.color,this.texte*8,12,"").svg(Lr):texteParPoint(this.texte,ec,u?0:a,this.color).svg(Lr)},this.tikz=function(){const Lr=pointSurSegment($e,Ce,this.distance/context.scale);return this.extremite2.x>this.extremite1.x?a=-ne.angleAvecHorizontale:a=180-ne.angleAvecHorizontale,texteParPoint(this.texte,Lr,a,this.color).tikz()}}function texteSurArc(n,t,r,a,s="black",l=.5,u=!1){return new TexteSurArc(n,t,r,a,s,l,u)}function AfficheMesureAngle(n,t,r,a="black",s=1.5,l="",{ecart:u=.5,mesureEnGras:_=!1,saillant:m=!0,colorArc:g="black",rayon:f=!1,couleurDeRemplissage:x="none",opaciteDeRemplissage:w=.5,arcEpaisseur:Z=1}={}){ObjetMathalea2D.call(this,{}),this.depart=n,this.arrivee=r,this.sommet=t,this.distance=s;const Ce=m?angleOriente(this.depart,this.sommet,this.arrivee):angleOriente(this.depart,this.sommet,this.arrivee)>0?angleOriente(this.depart,this.sommet,this.arrivee)-360:360+angleOriente(this.depart,this.sommet,this.arrivee);this.ecart=u,this.saillant=m,this.epaisseur=Z;const ne=pointSurSegment(this.sommet,this.depart,this.distance),$e=rotation(pointSurSegment(this.sommet,ne,this.distance+this.ecart*20/context.pixelsParCm),this.sommet,Ce/2);this.bordures=[Math.min($e.x,ne.x)-.5,Math.min($e.y,ne.y)-.5,Math.max($e.x,ne.x)+.5,Math.max($e.y,ne.y)+.5],this.svg=function(Ie){const Dt=pointSurSegment(this.sommet,this.depart,this.distance),Lr=rotation(pointSurSegment(this.sommet,Dt,this.distance+this.ecart*20/Ie),this.sommet,Ce/2,"","center");let ec;l!==""?ec=l:ec=Math.round(Math.abs(Ce)).toString()+"°";const ys=texteParPoint(ec,Lr,"milieu",a,1,"middle",!0),tc=arc(Dt,t,Ce,f,x,g,w);return ys.contour=_,ys.couleurDeRemplissage=colorToLatexOrHTML(a),tc.epaisseur=this.epaisseur,`
`+ys.svg(Ie)+`
`+tc.svg(Ie)},this.tikz=function(){const Ie=pointSurSegment(this.sommet,this.depart,this.distance),Dt=rotation(pointSurSegment(this.sommet,Ie,this.distance+this.ecart),this.sommet,Ce/2,"","center");let Lr;l!==""?Lr=l:Lr=Math.round(Math.abs(Ce)).toString()+"\\degree";const ec=texteParPoint(Lr,Dt,"milieu",a,1,"middle",!0),ys=arc(Ie,t,Ce,f,x,g,w);return ec.contour=_,ec.couleurDeRemplissage=colorToLatexOrHTML(a),ys.epaisseur=this.epaisseur,`
`+ec.tikz()+`
`+ys.tikz()}}function afficheMesureAngle(n,t,r,a="black",s=1.5,l="",{ecart:u=.5,mesureEnGras:_=!1,saillant:m=!0,colorArc:g="black",rayon:f=!1,couleurDeRemplissage:x="none",opaciteDeRemplissage:w=.5,arcEpaisseur:Z=1}={}){return new AfficheMesureAngle(n,t,r,a,s,l,{ecart:u,mesureEnGras:_,saillant:m,colorArc:g,rayon:f,couleurDeRemplissage:x,opaciteDeRemplissage:w,arcEpaisseur:Z})}function AfficheCoteSegment(n,t="",r=.5,a="black",s=1,l=.5,u="black",_=!1){ObjetMathalea2D.call(this,{});const m=r*20/context.pixelsParCm,g=r/context.scale;this.svg=function(f){let x;const w=n.extremite1,Z=n.extremite2,Ce=similitude(vecteur(w,Z),w,90,m/n.longueur),ne=segment(translation(w,Ce),translation(Z,Ce),a);return longueur(w,Z)>1?ne.styleExtremites="<->":ne.styleExtremites=">-<",ne.epaisseur=s,t===""?x=afficheLongueurSegment(ne.extremite1,ne.extremite2,u,l,"cm",_):x=texteSurSegment(t,ne.extremite1,ne.extremite2,u,l,_),`
	`+ne.svg(f)+`
	`+x.svg(f)},this.tikz=function(){let f;const x=n.extremite1,w=n.extremite2,Z=similitude(vecteur(x,w),x,90,g/n.longueur),Ce=segment(translation(x,Z),translation(w,Z),a);return longueur(x,w)>1?Ce.styleExtremites="<->":Ce.styleExtremites=">-<",Ce.epaisseur=s,t===""?f=afficheLongueurSegment(Ce.extremite1,Ce.extremite2,u,l):f=texteSurSegment(t,Ce.extremite1,Ce.extremite2,u,l),`
	`+Ce.tikz()+`
	`+f.tikz()}}function afficheCoteSegment(n,t="",r=.5,a="black",s=1,l=.5,u="black",_=!1){return new AfficheCoteSegment(n,t,r,a,s,l,u,_)}function codageSegment(n,t,r="||",a="black",s=1){const l=milieu(n,t),u=segment(n,t);u.isVisible=!1;let _;return t.x>n.x?_=-parseInt(u.angleAvecHorizontale):_=-parseInt(u.angleAvecHorizontale)+180,new TexteParPoint(r,l,_,a,s)}function CodageSegments(n="||",t="black",...r){ObjetMathalea2D.call(this,{});const a=isNumber(r[r.length-1]),s=a?r[r.length-1]:1,l=function(u,_,m,g,...f){if(f.length===0)return[u,_,m,g];{const x=f.shift();return x.constructor===Segment$1?(u=Math.min(u,x.x1,x.x2),m=Math.max(m,x.x1,x.x2),_=Math.min(_,x.y1,x.y2),g=Math.max(g,x.y1,x.y2),l(u,_,m,g,...f)):x.constructor===Point$1?(u=Math.min(u,x.x),m=Math.max(m,x.x),_=Math.min(_,x.y),g=Math.max(g,x.y),l(u,_,m,g,...f)):l(u,_,m,g,...f)}};this.bordures=l(1e3,1e3,-1e3,-1e3,...r),this.svg=function(u){let _="";if(Array.isArray(r[0])){for(let g=0;g<r[0].length-1;g++){const f=codageSegment(r[0][g],r[0][g+1],n,t,s);f.isVisible=!1,_+=f.svg(u),_+=`
`}const m=codageSegment(r[0][r[0].length-1],r[0][0],n,t,s);m.isVisible=!1,_+=m.svg(u),_+=`
`}else if(r[0].constructor===Segment$1)for(let m=0;m<(a?r.length-1:r.length);m++){const g=codageSegment(r[m].extremite1,r[m].extremite2,n,t,s);g.isVisible=!1,_+=g.svg(u),_+=`
`}else for(let m=0;m<(a?r.length-1:r.length);m+=2){const g=codageSegment(r[m],r[m+1],n,t,s);g.isVisible=!1,_+=g.svg(u),_+=`
`}return _=`<g id="${this.id}">${_}</g>`,_},this.tikz=function(){let u="";if(Array.isArray(r[0])){for(let _=0;_<r[0].length-1;_++)u+=codageSegment(r[0][_],r[0][_+1],n,t,s).tikz(),u+=`
`;u+=codageSegment(r[0][r[0].length-1],r[0][0],n,t).tikz(),u+=`
`}else if(r[0].constructor===Segment$1){const _=a?r.length-1:r.length;for(let m=0;m<_;m++)u+=codageSegment(r[m].extremite1,r[m].extremite2,n,t).tikz(),u+=`
`}else{const _=a?r.length-1:r.length;for(let m=0;m<_;m+=2)u+=codageSegment(r[m],r[m+1],n,t,s).tikz(),u+=`
`}return u}}function codageSegments(n="||",t="black",...r){return new CodageSegments(n,t,...r)}function CodageAngle(n,t,r,a=.8,s="",l="black",u=1,_=1,m="none",g=.2,f=!1,x="",w=1,{echelleMark:Z=1,angleArrondi:Ce=0}={}){this.color=l,this.debut=n,this.centre=t,this.taille=a,this.mark=s,this.echelleMark=Z,this.epaisseur=u,this.opacite=_,this.couleurDeRemplissage=m,this.opaciteDeRemplissage=g,this.angle=r,this.tailleTexte=w,this.angleArrondi=Ce;const ne=[],$e=pointSurSegment(this.centre,this.debut,this.taille*20/context.pixelsParCm),Ie=rotation($e,this.centre,this.angle/2),Dt=pointSurSegment(this.centre,Ie,this.taille+.6*20/context.pixelsParCm),Lr=droite(this.centre,Ie);Lr.isVisible=!1;const ec=arrondi(Math.abs(r),this.angleArrondi)+"°",ys=arc($e,this.centre,this.angle,this.couleurDeRemplissage!=="none",this.couleurDeRemplissage,this.color);if(ys.isVisible=!0,ys.opacite=this.opacite,ys.epaisseur=this.epaisseur,ys.opaciteDeRemplissage=this.opaciteDeRemplissage,ne.push(ys),this.mark!==""){const tc=texteParPoint(s,Ie,90-Lr.angleAvecHorizontale,this.color,this.echelleMark);ne.push(tc)}if(f&&x===""){const tc=texteParPoint(ec,Dt,"milieu",this.color,this.tailleTexte);ne.push(tc)}else if(x!=="")if(x.includes("$")){Dt.positionLabel="center";const tc=latexParPoint(x.substring(1,x.length-1),Dt,this.color);tc.colorBackground=colorToLatexOrHTML("transparent"),ne.push(tc)}else ne.push(texteParPoint(x,Dt,"milieu",this.color,this.tailleTexte));return ne}function Rapporteur$1({x:n=0,y:t=0,taille:r=7,depart:a=0,semi:s=!1,avecNombre:l="deuxSens",precisionAuDegre:u=1,stepGraduation:_=10,rayonsVisibles:m=!0,color:g="gray"}){ObjetMathalea2D.call(this,{}),this.x=n,this.y=t,this.taille=r,this.opacite=.7,this.color=g;const f=[];let x,w,Z,Ce,ne;s?(ne=180,Ce=18):(ne=360,Ce=36);const $e=point(this.x,this.y);w=rotation(point(this.x+1,this.y),$e,a);let Ie=pointSurSegment($e,w,this.taille);const Dt=arc(w,$e,ne-.1,!1,"none",this.color),Lr=arc(Ie,$e,ne-.1,!1,"none",this.color);f.push(segment(Ie,rotation(Ie,$e,180),this.color)),Z=segment(w,Ie,this.color),m&&f.push(Dt),f.push(Lr);for(let ec=0;ec<Ce;ec++){l!==""&&(l==="deuxSens"&&(ec===0&&(x=texteParPoint(ne,rotation(homothetie(Ie,$e,.8),$e,2),-a,this.color),x.contour=!0,f.push(x)),ec===Ce-1?(x=texteParPoint(ne-(1+ec)*10,rotation(homothetie(Ie,$e,.8),$e,ne/Ce-2),-a,this.color),x.contour=!0,f.push(x)):(ne-(1+ec)*10)%_===0&&(x=texteParPoint(ne-(1+ec)*10,rotation(homothetie(Ie,$e,.8),$e,ne/Ce),90-(1+ec)*10-a,this.color),x.contour=!0,f.push(x))),ec===0&&(x=texteParPoint("0",rotation(homothetie(Ie,$e,.9),$e,2),-a,this.color),x.contour=!0,f.push(x)),ec===Ce-1?(x=texteParPoint((1+ec)*10,rotation(homothetie(Ie,$e,.9),$e,ne/Ce-2),-a,this.color),x.contour=!0,f.push(x)):(ec+1)*10%_===0&&(x=texteParPoint((1+ec)*10,rotation(homothetie(Ie,$e,.9),$e,ne/Ce),90-(1+ec)*10-a,this.color),x.contour=!0,f.push(x)));for(let ys=1,tc;ys<10;ys++)ys===5&&u<10?(tc=segment(homothetie(rotation(Ie,$e,ys),$e,.92),homothetie(rotation(Ie,$e,ys),$e,.99),this.color),tc.opacite=.6,f.push(tc)):u===1&&(tc=segment(homothetie(rotation(Ie,$e,ys),$e,.96),homothetie(rotation(Ie,$e,ys),$e,.99),this.color),tc.opacite=.6,f.push(tc));ec!==0&&ec!==36&&ec!==18&&f.push(Z),w=rotation(w,$e,ne/Ce),Ie=rotation(Ie,$e,ne/Ce),m?Z=segment(w,Ie,this.color):Z=segment(homothetie(Ie,$e,.9),Ie,this.color),Z.opacite=this.opacite}s?Z=segment($e,homothetie(rotation(w,$e,-90),$e,.2),this.color):(Z=segment(homothetie(rotation(w,$e,-90),$e,-.2),homothetie(rotation(w,$e,-90),$e,.2),this.color),f.push(Z),Z=segment(homothetie(w,$e,-.2),homothetie(w,$e,.2),this.color)),f.push(Z),this.bordures=[n-r-1,t-r-1,n+r+1,t+r+1],this.svg=function(ec){let ys="";for(const tc of f)ys+=`
	`+tc.svg(ec);return ys},this.tikz=function(){let ec="";for(const ys of f)ec+=`
	`+ys.tikz();return ec}}function rapporteur({x:n=0,y:t=0,taille:r=7,depart:a=0,semi:s=!1,avecNombre:l="deuxSens",precisionAuDegre:u=1,stepGraduation:_=10,rayonsVisibles:m=!0,color:g="gray"}){return new Rapporteur$1({x:n,y:t,taille:r,depart:a,semi:s,avecNombre:l,precisionAuDegre:u,stepGraduation:_,rayonsVisibles:m,color:g})}function angle(n,t,r,a=2){const s=longueur(t,n),l=longueur(t,r),u=longueur(n,r),_=vecteur(t,n),m=vecteur(t,r);return egal(_.x*m.y-_.y*m.x,0)?_.x*m.x>0?0:_.x*m.x<0?180:_.y*m.y>0?0:180:arrondi(Math.acos(arrondi((u**2-s**2-l**2)/(-2*s*l),12))*180/Math.PI,a)}function angleModulo(n){for(;n<=-180;)n=n+360;for(;n>180;)n=n-360;return n}function angleOriente(n,t,r,a=2){const s=rotation(n,t,90),l=vecteur(t,r),u=vecteur(t,s);return arrondi(unSiPositifMoinsUnSinon(arrondi(l.x*u.x+l.y*u.y,10))*angle(n,t,r),a)}function CodageAngleDroit(n,t,r,a="black",s=.4,l=.5,u=1,_="none",m=1){ObjetMathalea2D.call(this,{}),this.sommet=t,this.depart=n,this.arrivee=r,this.taille=s,this.color=a,this.couleurDeRemplissage=colorToLatexOrHTML(_),this.opaciteDeRemplissage=m;const g=pointSurSegment(this.sommet,this.depart,this.taille*20/context.pixelsParCm),f=pointSurSegment(this.sommet,this.arrivee,this.taille*20/context.pixelsParCm);angleOriente(this.depart,this.sommet,this.arrivee)>0?rotation(this.sommet,g,-90):rotation(this.sommet,g,90);const x=fixeBordures(g,f);this.bordures=[x.xmin,x.ymin,x.xmax,x.ymax],this.svg=function(w){const Z=pointSurSegment(this.sommet,this.depart,this.taille*20/w),Ce=pointSurSegment(this.sommet,this.arrivee,this.taille*20/w);let ne={},$e={};return angleOriente(this.depart,this.sommet,this.arrivee)>0?ne=rotation(this.sommet,Z,-90):ne=rotation(this.sommet,Z,90),this.couleurDeRemplissage==="none"?$e=polyline([Z,ne,Ce],this.color):($e=polygone([this.sommet,Z,ne,Ce],this.color),$e.couleurDeRemplissage=this.couleurDeRemplissage,$e.opaciteDeRemplissage=this.opaciteDeRemplissage),$e.isVisible=!1,$e.epaisseur=l,$e.opacite=u,this.id=$e.id,$e.svg(w)},this.tikz=function(){const w=pointSurSegment(this.sommet,this.depart,this.taille/context.scale),Z=pointSurSegment(this.sommet,this.arrivee,this.taille/context.scale);let Ce={},ne={};return angleOriente(this.depart,this.sommet,this.arrivee)>0?Ce=rotation(this.sommet,w,-90):Ce=rotation(this.sommet,w,90),this.couleurDeRemplissage==="none"?polyline([w,Ce,Z],this.color).tikz():(ne=polygone([this.sommet,w,Ce,Z],this.color),ne.couleurDeRemplissage=this.couleurDeRemplissage,ne.opaciteDeRemplissage=this.opaciteDeRemplissage,ne.isVisible=!1,ne.epaisseur=l,ne.opacite=u,ne.tikz())},this.svgml=function(w,Z){const Ce=pointSurSegment(this.sommet,this.depart,this.taille*20/w),ne=pointSurSegment(this.sommet,this.arrivee,this.taille*20/w);let $e={};return angleOriente(n,this.sommet,r)>0?$e=rotation(this.sommet,Ce,-90):$e=rotation(this.sommet,Ce,90),polyline([Ce,$e,ne],this.color).svgml(w,Z)},this.tikzml=function(w){const Z=pointSurSegment(this.sommet,this.depart,this.taille/context.scale),Ce=pointSurSegment(this.sommet,this.arrivee,this.taille/context.scale);let ne={};return angleOriente(n,this.sommet,r)>0?ne=rotation(this.sommet,Z,-90):ne=rotation(this.sommet,Z,90),polyline([Z,ne,Ce],this.color).tikzml(w)}}function codageAngleDroit(n,t,r,a="black",s=.4,l=.5,u=1,_="none",m=1){return new CodageAngleDroit(n,t,r,a,s,l,u,_,m)}function codageAngle(n,t,r,a=.8,s="",l="black",u=1,_=1,m="none",g=.2,f=!1,x=!1,w="",Z=1,{echelleMark:Ce=1,angleArrondi:ne=0}={}){return typeof r!="number"&&(r=angleOriente(n,t,r)),(r===90||r===-90)&&!x?new CodageAngleDroit(n,t,rotation(n,t,r),l,a,u,_,m,g):new CodageAngle(n,t,r,a,s,l,u,_,m,g,f,w,Z,{echelleMark:Ce,angleArrondi:ne})}function cercleTrigo(n,t="cos"){const r=parseInt(n.degres),a=5,s=n.radians,l=Array.isArray(n.cos)?n.cos[0]:n.cos,u=Array.isArray(n.sin)?n.sin[0]:n.sin,_=point(0,0),m=point(a,0),g=point(0,a),f=point(-a,0),x=point(0,-a),w=segment(m,f),Z=segment(g,x),Ce=cercleCentrePoint(_,m),ne=cercle(_,5.7);ne.isVisible=!1;const $e=pointSurCercle(Ce,r),Ie=pointSurCercle(ne,r),Dt=segment(_,$e,"blue"),Lr=segment(_,m,"blue");Dt.epaisseur=3,Lr.epaisseur=3;const ec=point($e.x,0),ys=point(0,$e.y),tc=segment($e,ec);tc.pointilles=5;const nc=segment($e,ys);nc.pointilles=5;const ac=latexParPoint(s,Ie),sc=point($e.x,$e.y<0?1.5:-1.5),cc=point($e.x<0?.75:-1.5,$e.y),uc=latexParPoint(l,sc),lc=latexParPoint(u,cc),e0=segment(_,point($e.x,0)),dc=segment(_,point(0,$e.y));e0.epaisseur=3,dc.epaisseur=3;const kc=codageAngle(m,_,$e);kc.color=colorToLatexOrHTML("blue"),kc.epaisseur=3;const Jc=[];return t==="cos"?Jc.push(uc,e0,tc):Jc.push(lc,dc,nc),mathalea2d({xmin:-a-3,xmax:a+3,ymin:-a-1.8,ymax:a+1.8,scale:.5},Ce,ac,kc,w,Z,...Jc,Dt,Lr)}function Cercle(n,t,r="black",a="none",s="none",l=1,u=0,_=1,m=1.1,g=1,f=10){ObjetMathalea2D.call(this,{}),this.color=colorToLatexOrHTML(r),this.centre=n,this.rayon=t,this.couleurDeRemplissage=colorToLatexOrHTML(a),this.opaciteDeRemplissage=m,this.hachures=s!=="none"&&s!=="",this.couleurDesHachures=colorToLatexOrHTML(s),this.epaisseurDesHachures=g,this.distanceDesHachures=f,this.bordures=[n.x-t,n.y-t,n.x+t,n.y+t],this.epaisseur=l,this.pointilles=u,this.opacite=_,this.svg=function(x){switch(this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}return this.hachures?(this.couleurDeRemplissage.length<1&&(this.couleurDeRemplissage=colorToLatexOrHTML("none")),pattern({motif:this.hachures,id:this.id,distanceDesHachures:this.distanceDesHachures,epaisseurDesHachures:this.epaisseurDesHachures,couleurDesHachures:this.couleurDesHachures[0],couleurDeRemplissage:this.couleurDeRemplissage[0],opaciteDeRemplissage:this.opaciteDeRemplissage})+`<circle cx="${n.xSVG(x)}" cy="${n.ySVG(x)}" r="${t*x}" stroke="${this.color[0]}" ${this.style} id="${this.id}" fill="url(#pattern${this.id})" />`):(this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `),this.couleurDeRemplissage===""?this.style+=' fill="none" ':(this.style+=` fill="${this.couleurDeRemplissage[0]}" `,this.style+=` fill-opacity="${this.opaciteDeRemplissage}" `),`<circle cx="${n.xSVG(x)}" cy="${n.ySVG(x)}" r="${t*x}" stroke="${this.color[0]}" ${this.style} id="${this.id}" />`)},this.tikz=function(){let x=[];const w=[];switch(this.color[1].length>1&&this.color[1]!=="black"&&w.push(`color=${this.color[1]}`),this.epaisseur!==1&&w.push(`line width = ${this.epaisseur}`),this.pointilles){case 1:w.push(" dash dot ");break;case 2:w.push(" densely dash dot dot ");break;case 3:w.push(" dash dot dot ");break;case 4:w.push(" dotted ");break;case 5:w.push(" dashed ");break}return this.opacite!==1&&w.push(`opacity = ${this.opacite}`),this.opaciteDeRemplissage!==1&&w.push(`fill opacity = ${this.opaciteDeRemplissage}`),this.couleurDeRemplissage!==""&&this.couleurDeRemplissage[1]!=="none"&&this.couleurDeRemplissage[1]!==""&&w.push(`preaction={fill,color = ${this.couleurDeRemplissage[1]}}`),this.hachures&&w.push(pattern({motif:this.hachures,id:this.id,distanceDesHachures:this.distanceDesHachures,epaisseurDesHachures:this.epaisseurDesHachures,couleurDesHachures:this.couleurDesHachures[1],couleurDeRemplissage:this.couleurDeRemplissage[1],opaciteDeRemplissage:this.opaciteDeRemplissage})),w.length>0&&(x="["+w.join(",")+"]"),`\\draw${x} (${n.x},${n.y}) circle (${t});`},this.svgml=function(x,w){this.style="",this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `),this.style+=' fill="none" ';let Z=`<path d="M ${n.xSVG(x)+t*x} ${n.ySVG(x)} S ${n.xSVG(x)+t*x} ${n.ySVG(x)}, `,Ce=1;for(let ne=1,$e;ne<181;ne++)$e=(random(0,2)-1)*w/10,Z+=`${n.xSVG(x)+round((t+$e)*Math.cos(2*ne*Math.PI/180)*x,2)} ${n.ySVG(x)+round((t+$e)*Math.sin(2*ne*Math.PI/180)*x,2)}, `,Ce++;return Ce%2===0&&(Z+=` ${n.xSVG(x)+t*x} ${n.ySVG(x)}, `),Z+=` ${n.xSVG(x)+t*x} ${n.ySVG(x)} Z" stroke="${this.color[0]}" ${this.style}"/>`,Z},this.tikzml=function(x){let w=[];const Z=[];return this.color[1].length>1&&this.color[1]!=="black"&&Z.push(`color=${this.color[1]}`),this.epaisseur!==1&&Z.push(`line width = ${this.epaisseur}`),this.opacite!==1&&Z.push(`opacity = ${this.opacite}`),Z.push(`decorate,decoration={random steps , amplitude = ${x}pt}`),w="["+Z.join(",")+"]",`\\draw${w} (${n.x},${n.y}) circle (${t});`}}function cercle(n,t,r="black",a="none",s="none",l=1,u=0,_=1,m=1.1,g=1,f=10){return new Cercle(n,t,r,a,s,l,u,_,m,g,f)}function cercleCentrePoint(n,t,r="black",a="none",s="none",l=1,u=0,_=1,m=1.1,g=1,f=10){return new Cercle(n,longueur(n,t),r,a,s,l,u,_,m,g,f)}function Arc$1(n,t,r,a=!1,s="none",l="black",u=.2,_="none"){ObjetMathalea2D.call(this,{}),this.color=colorToLatexOrHTML(l),this.couleurDeRemplissage=colorToLatexOrHTML(s),this.opaciteDeRemplissage=u,this.opacite=1,this.hachures=_!=="none"&&_!=="",this.couleurDesHachures=colorToLatexOrHTML(_),this.epaisseurDesHachures=1,this.distanceDesHachures=10,this.pointilles=0,typeof r!="number"&&(r=angleOriente(n,t,r));const m=[],g=[];for(let ec=1;ec<9;ec++)m.push(rotation(n,t,ec*r/10).x),g.push(rotation(n,t,ec*r/10).y);const f=longueur(t,n);let x=0,w=0;const Z=point(t.x+1,t.y),Ce=angleOriente(Z,t,n),ne=Ce+r,$e=angleModulo(r);r>180?(w=0,x=1):r<-180?(x=1,w=1):(x=0,w=1-(r>0));const Ie=rotation(n,t,$e);this.bordures=[Math.min(n.x,Ie.x,...m)-.1,Math.min(n.y,Ie.y,...g)-.1,Math.max(n.x,Ie.x,...m)+.1,Math.max(n.y,Ie.y,...g)+.1],a?this.svg=function(ec){switch(this.style="",this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}return this.hachures?(this.couleurDeRemplissage.length<1&&(this.couleurDeRemplissage=colorToLatexOrHTML("none")),pattern({motif:this.hachures,id:this.id,distanceDesHachures:this.distanceDesHachures,epaisseurDesHachures:this.epaisseurDesHachures,couleurDesHachures:this.couleurDesHachures[0],couleurDeRemplissage:this.couleurDeRemplissage[0],opaciteDeRemplissage:this.opaciteDeRemplissage})+`<path d="M${n.xSVG(ec)} ${n.ySVG(ec)} A ${f*ec} ${f*ec} 0 ${x} ${w} ${Ie.xSVG(ec)} ${Ie.ySVG(ec)} L ${t.xSVG(ec)} ${t.ySVG(ec)} Z" stroke="${this.color[0]}"  ${this.style} id="${this.id}" fill="url(#pattern${this.id})" />`):(this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `),this.couleurDeRemplissage===""||this.couleurDeRemplissage===void 0?this.style+=' fill="none" ':(this.style+=` fill="${this.couleurDeRemplissage[0]}" `,this.style+=` fill-opacity="${this.opaciteDeRemplissage}" `),`<path d="M${n.xSVG(ec)} ${n.ySVG(ec)} A ${f*ec} ${f*ec} 0 ${x} ${w} ${Ie.xSVG(ec)} ${Ie.ySVG(ec)} L ${t.xSVG(ec)} ${t.ySVG(ec)} Z" stroke="${this.color[0]}" ${this.style}/>`)}:this.svg=function(ec){switch(this.style="",this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.pointilles){case 1:this.style+=' stroke-dasharray="6 10" ';break;case 2:this.style+=' stroke-dasharray="6 3" ';break;case 3:this.style+=' stroke-dasharray="3 2 6 2 " ';break;case 4:this.style+=' stroke-dasharray="1 2" ';break;case 5:this.style+=' stroke-dasharray="5 5" ';break}return this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `),this.couleurDeRemplissage===""||this.couleurDeRemplissage===void 0?this.style+=' fill="none" ':(this.style+=` fill="${this.couleurDeRemplissage[0]}" `,this.style+=` fill-opacity="${this.opaciteDeRemplissage}" `),`<path d="M${n.xSVG(ec)} ${n.ySVG(ec)} A ${f*ec} ${f*ec} 0 ${x} ${w} ${Ie.xSVG(ec)} ${Ie.ySVG(ec)}" stroke="${this.color[0]}" ${this.style} id="${this.id}" />`},this.tikz=function(){let ec=[];const ys=[];switch(this.color[1].length>1&&this.color[1]!=="black"&&ys.push(`color=${this.color[1]}`),this.epaisseur!==1&&ys.push(`line width = ${this.epaisseur}`),this.pointilles){case 1:ys.push(" dash dot ");break;case 2:ys.push(" densely dash dot dot ");break;case 3:ys.push(" dash dot dot ");break;case 4:ys.push(" dotted ");break;case 5:ys.push(" dashed ");break}return this.opacite!==1&&ys.push(`opacity = ${this.opacite}`),a&&this.couleurDeRemplissage[1]!=="none"&&this.couleurDeRemplissage!==""&&ys.push(`preaction={fill,color = ${this.couleurDeRemplissage[1]},opacity = ${this.opaciteDeRemplissage}}`),this.hachures&&ys.push(pattern({motif:this.hachures,id:this.id,distanceDesHachures:this.distanceDesHachures,couleurDesHachures:this.couleurDesHachures[1],couleurDeRemplissage:this.couleurDeRemplissage[1],opaciteDeRemplissage:this.opaciteDeRemplissage})),ys.length>0&&(ec="["+ys.join(",")+"]"),a?`\\draw  ${ec} (${Ie.x},${Ie.y}) -- (${t.x},${t.y}) -- (${n.x},${n.y}) arc (${Ce}:${ne}:${longueur(t,n)}) ;`:`\\draw${ec} (${n.x},${n.y}) arc (${Ce}:${ne}:${longueur(t,n)}) ;`};let Dt,Lr;this.svgml=function(ec,ys){this.style="",this.epaisseur!==1&&(this.style+=` stroke-width="${this.epaisseur}" `),this.opacite!==1&&(this.style+=` stroke-opacity="${this.opacite}" `),this.style+=' fill="none" ',Dt=`<path d="M${n.xSVG(ec)} ${n.ySVG(ec)} S ${n.xSVG(ec)} ${n.ySVG(ec)}, `;let tc=1;const nc=longueur(t,n);for(let ac=0,sc;abs$1(ac)<=abs$1(r)-2;ac+=r<0?-2:2)sc=(random(0,2)-1)/nc*ys/10,Lr=rotation(homothetie(n,t,1+sc),t,ac),Dt+=`${round(Lr.xSVG(ec),2)} ${round(Lr.ySVG(ec),2)}, `,tc++;return Lr=rotation(n,t,r),tc%2===0&&(Dt+=`${Lr.xSVG(ec)} ${Lr.ySVG(ec)}, `),Dt+=`${Lr.xSVG(ec)} ${Lr.ySVG(ec)}`,Dt+=`" stroke="${l}" ${this.style}/>`,Dt},this.tikzml=function(ec){let ys=[];const tc=[],nc=point(t.x+1,t.y),ac=arrondi(angleOriente(nc,t,n),1),sc=arrondi(ac+r,1);return this.color[1].length>1&&this.color[1]!=="black"&&tc.push(`color=${this.color[1]}`),this.epaisseur!==1&&tc.push(`line width = ${this.epaisseur}`),this.opacite!==1&&tc.push(`opacity = ${this.opacite}`),tc.push(`decorate,decoration={random steps , amplitude = ${ec}pt}`),ys="["+tc.join(",")+"]",`\\draw${ys} (${n.x},${n.y}) arc (${ac}:${sc}:${arrondi(longueur(t,n),2)}) ;`}}function arc(n,t,r,a=!1,s="none",l="black",u=.2,_="none"){return new Arc$1(n,t,r,a,s,l,u,_)}function arcPointPointAngle(n,t,r,a=!1,s="none",l="black",u=.2,_="none"){let m;r<0?m=(r+180)/2:m=(r-180)/2;const g=mediatrice(n,t);g.isVisible=!1;const f=droite(t,n);f.isVisible=!1;const x=rotation(f,t,m);x.isVisible=!1;const w=g.a*x.b-x.a*g.b,Z=(g.b*x.c-x.b*g.c)/w,Ce=(x.a*g.c-g.a*x.c)/w,ne=point(Z,Ce);return new Arc$1(n,ne,r,a,s,l,u,_)}function traceCompas(n,t,r=20,a="gray",s=1.1,l=1,u=""){const _=rotation(t,n,-r/2),m=arc(_,n,r,!1);return m.epaisseur=l,m.opacite=s,m.color=colorToLatexOrHTML(a),m.pointilles=u,m}function ppcm([...n]){return parseInt(lcm(...n))}const sortFractions=n=>n.slice().sort((t,r)=>t.valeurDecimale-r.valeurDecimale);class ListeFraction{constructor(...t){this.liste=t,this.denominateurs_amis=[];let r=[];const a=[];this.liste.forEach(l=>{a.push(l.d),r=listeDesDiviseurs(l.d),r.splice(0,1),this.denominateurs_amis.push(r)});const s=ppcm(a);this.listeMemeDenominateur=[],this.liste.forEach(l=>{this.listeMemeDenominateur.push(l.reduire(Math.round(s/l.d)))}),this.listeRangee=sortFractions(this.liste),this.listeRangeeMemeDenominateur=sortFractions(this.listeMemeDenominateur),this.listeSimplifiee=this.liste.map(l=>l.simplifie()),this.listeRangeeSimplifiee=sortFractions(this.listeSimplifiee),this.texListe=this.liste.map(l=>l.texFraction).join(" ; ")}completeListe(...t){const r=[this.listeMemeDenominateur[0].d];for(let s=0;s<t.length;s++){this.liste.push(t[s]),r.push(t[s].d);const l=listeDesDiviseurs(t[s].d);l.splice(0,1),this.denominateurs_amis.push(l)}const a=ppcm(r);this.listeMemeDenominateur=[];for(let s=0;s<this.liste.length;s++)this.listeMemeDenominateur.push(this.liste[s].reduire(Math.round(a/this.liste[s].d)));this.listeSimplifiee=[];for(let s=0;s<this.liste.length;s++)this.listeSimplifiee.push(this.liste[s].simplifie());this.texListe="";for(let s=0;s<this.liste.length-1;s++)this.texListe+=this.liste[s].texFraction+" ; ";this.texListe+=this.liste[this.liste.length-1].texFraction,this.listeRangee=sortFractions(this.liste),this.listeRangeeMmeDenominateur=sortFractions(this.listeMemeDenominateur),this.listeRangeeSimplifiee=sortFractions(this.listeSimplifiee)}}function obtenirListeFractionsIrreductibles(){return[fraction(1,2),fraction(1,3),fraction(2,3),fraction(1,4),fraction(3,4),fraction(1,5),fraction(2,5),fraction(3,5),fraction(4,5),fraction(1,6),fraction(5,6),fraction(1,7),fraction(2,7),fraction(3,7),fraction(4,7),fraction(5,7),fraction(6,7),fraction(1,8),fraction(3,8),fraction(5,8),fraction(7,8),fraction(1,9),fraction(2,9),fraction(4,9),fraction(5,9),fraction(7,9),fraction(8,9),fraction(1,10),fraction(3,10),fraction(7,10),fraction(9,10)]}function obtenirListeFractionsIrreductiblesFaciles(){return[fraction(1,2),fraction(1,3),fraction(2,3),fraction(1,5),fraction(2,5),fraction(3,5),fraction(4,5),fraction(1,7),fraction(2,7),fraction(3,7),fraction(4,7),fraction(5,7),fraction(6,7)]}function listeFractions(...n){return new ListeFraction(...n)}function fraction(n,t){return t===void 0?n===void 0?(window.notify("fraction de fractions.js : aucun argument n'est défini ",{a:n,b:t}),NaN):typeof n=="number"?new FractionEtendue(n):isNaN(n)?(window.notify("fraction de fractions.js : l'argument est de type inconvenant ",{a:n}),NaN):new FractionEtendue(Number(n)):n===void 0?(window.notify("fraction de fractions.js : le premier argument n'est pas défini ",{a:n,b:t}),NaN):typeof n=="number"&&typeof t=="number"?new FractionEtendue(n,t):!isNaN(t)&&!isNaN(n)?new FractionEtendue(Number(n),Number(t)):(window.notify("fraction de fractions.js : les arguments sont de type inconvenant ",{a:n,b:t}),NaN)}class FractionEtendue extends Fraction{constructor(...t){super();let r,a;if(t.length>2||t.length<1)window.notify("FractionEtendue : nombre d'arguments incorrect",{args:t});else if(t.length===1?t[0]instanceof Decimal?[r,a]=t[0].toFraction().split(",").map(sc=>Number(sc)):(r=Number(t[0]),a=1):(r=Number(t[0]),a=Number(t[1])),!isNaN(r)&&!isNaN(a)){let sc=max(nombreDeChiffresDansLaPartieDecimale(r),nombreDeChiffresDansLaPartieDecimale(a));if(sc>9){const cc=arrondi(r/a,12);if(nombreDeChiffresDansLaPartieDecimale(cc)<9)r=cc,a=1,sc=max(nombreDeChiffresDansLaPartieDecimale(r),nombreDeChiffresDansLaPartieDecimale(a));else{const uc=arrondi(a/r,12);if(nombreDeChiffresDansLaPartieDecimale(uc)<9)a=uc,r=1,sc=max(nombreDeChiffresDansLaPartieDecimale(r),nombreDeChiffresDansLaPartieDecimale(a));else{const lc=arrondi(1/r,12),e0=arrondi(1/a,12);if(sc=max(nombreDeChiffresDansLaPartieDecimale(lc),nombreDeChiffresDansLaPartieDecimale(e0)),sc<13)a=lc,r=e0;else{let kc=1,Jc=a,n0=e0;for(;min(nombreDeChiffresDansLaPartieDecimale(Jc),nombreDeChiffresDansLaPartieDecimale(n0))>9&&kc<2e3;)kc+=kc%5===3?4:2,Jc=arrondi(a*kc,10),n0=arrondi(e0*kc,10);let d0=1,t0=r,h0=lc;for(;min(nombreDeChiffresDansLaPartieDecimale(t0),nombreDeChiffresDansLaPartieDecimale(h0))>9&&d0<2e3;)d0+=d0%5===3?4:2,t0=arrondi(r*d0,10),h0=arrondi(lc*d0,10);nombreDeChiffresDansLaPartieDecimale(t0)<10?nombreDeChiffresDansLaPartieDecimale(Jc)<10?(r=arrondi(t0*kc,10),a=arrondi(Jc*d0,10)):(r=arrondi(t0*n0,10),a=kc*d0):nombreDeChiffresDansLaPartieDecimale(Jc)<10?(a=arrondi(Jc*h0,10),r=kc*d0):(a=arrondi(h0*kc,10),r=arrondi(n0*d0,10)),sc=max(nombreDeChiffresDansLaPartieDecimale(r),nombreDeChiffresDansLaPartieDecimale(a))}}}}a=round(a*pow(10,sc)),r=round(r*pow(10,sc));try{this.num=r,this.den=a,this.signe=r*a<0?-1:r*a>0?1:0}catch{return window.notify(`transformation impossible en  FractionMathjs  par Math.Fraction() de num = ${r} et den = ${a} ! `,{num:r,den:a}),new FractionEtendue(0)}}else return NaN;this.type="FractionEtendue";let s;Object.defineProperty(this,"numIrred",{enumerable:!0,get:()=>(s||(s=this.simplifie().num),s),set:()=>{throw Error("'numIrred' est en lecture seule")}});let l;Object.defineProperty(this,"denIrred",{enumerable:!0,get:()=>(l||(l=this.simplifie().den),l),set:()=>{throw Error("'numIrred' est en lecture seule")}});let u;Object.defineProperty(this,"pourcentage",{enumerable:!0,get:()=>(u||(u=arrondi(this.num*100/this.den,2)),u),set:()=>{throw Error("'pourcentage' est en lecture seule")}});let _;Object.defineProperty(this,"sign",{enumerable:!0,get:()=>(_||(_=this.signe),_),set:()=>{throw Error("'sign' est en lecture seule")}});let m;Object.defineProperty(this,"signeString",{enumerable:!0,get:()=>(m||(m=this.signe===-1?"-":this.signe===1?"+":""),m),set:()=>{throw Error("'signeString' est en lecture seule")}}),this.texFraction=this.den===1?`${texNombre(this.num,0)}`:`\\dfrac{${texNombre(this.num,0)}}{${texNombre(this.den,0)}}`;let g;Object.defineProperty(this,"texFractionSR",{enumerable:!0,get:()=>(g||(g=`\\dfrac{${signeMoinsEnEvidence(this.num)}}{${signeMoinsEnEvidence(this.den)}}`),g),set:()=>{throw Error("'texFractionSR' est en lecture seule")}});let f;Object.defineProperty(this,"texFSD",{enumerable:!0,get:()=>(f||(f=this.signe===-1?Math.abs(this.den)===1?"-"+String(texNombre(Math.abs(this.num),0)):`-\\dfrac{${texNombre(Math.abs(this.num),0)}}{${texNombre(Math.abs(this.den),0)}}`:Math.abs(this.den)===1?String(texNombre(Math.abs(this.num),0)):`\\dfrac{${texNombre(Math.abs(this.num),0)}}{${texNombre(Math.abs(this.den),0)}}`),f),set:()=>{throw Error("'texFSD' est en lecture seule")}});let x;Object.defineProperty(this,"texFractionSignee",{enumerable:!0,get:()=>(x||(x=this.signe===-1?this.texFSD:"+"+this.texFSD),x),set:()=>{throw Error("'texFractionSignee' est en lecture seule")}});let w;Object.defineProperty(this,"texFractionSaufUn",{enumerable:!0,get:()=>(w||(w=this.valeurDecimale===-1?"-":this.valeurDecimale===1?"":this.texFSD),w),set:()=>{throw Error("'texFractionSaufUn' est en lecture seule")}});let Z;Object.defineProperty(this,"texFractionSaufUnSignee",{enumerable:!0,get:()=>(Z||(Z=this.valeurDecimale===-1?"-":this.valeurDecimale===1?"+":this.texFractionSignee),Z),set:()=>{throw Error("'texFractionSaufUnSignee' est en lecture seule")}});let Ce;Object.defineProperty(this,"texFSP",{enumerable:!0,get:()=>(Ce||(Ce=this.signe>0?this.texFSD:"\\left("+this.texFSD+"\\right)"),Ce),set:()=>{throw Error("'texFSP' est en lecture seule")}});let ne;Object.defineProperty(this,"texParentheses",{enumerable:!0,get:()=>(ne||(ne=this.den===1&&this.signe===1?this.texFSD:"\\left("+this.texFSD+"\\right)"),ne),set:()=>{throw Error("'texParentheses' est en lecture seule")}});let $e;Object.defineProperty(this,"texFractionSimplifiee",{enumerable:!0,get:()=>($e||($e=this.simplifie().texFSD),$e),set:()=>{throw Error("'texFractionSimplifiee' est en lecture seule")}});let Ie;Object.defineProperty(this,"ecritureAlgebrique",{enumerable:!0,get:()=>(Ie||(Ie=this.signe===1?"+"+this.texFSD:this.texFSD),Ie),set:()=>{throw Error("'ecritureAlgebrique' est en lecture seule")}});let Dt;Object.defineProperty(this,"ecritureParentheseSiNegatif",{enumerable:!0,get:()=>(Dt||(Dt=this.signe===1?this.texFSD:"\\left("+this.texFSD+"\\right)"),Dt),set:()=>{throw Error("'ecritureParentheseSiNegatif' est en lecture seule")}});let Lr;Object.defineProperty(this,"valeurDecimale",{enumerable:!0,get:()=>(Lr||(Lr=arrondi(this.num/this.den,6)),Lr),set:()=>{throw Error("'valeurDecimale' est en lecture seule")}});let ec;Object.defineProperty(this,"estEntiere",{enumerable:!0,get:()=>(ec||(ec=this.denIrred===1),ec),set:()=>{throw Error("'estEntiere' est en lecture seule")}});let ys;Object.defineProperty(this,"estParfaite",{enumerable:!0,get:()=>(ys||(ys=this.racineCarree()!==!1),ys),set:()=>{throw Error("'estParfaite' est en lecture seule")}});let tc;Object.defineProperty(this,"estIrreductible",{enumerable:!0,get:()=>(tc||(tc=gcd(this.num,this.den)===1&&this.den!==1),tc),set:()=>{throw Error("'estIrreductible' est en lecture seule")}});const nc=gcd(this.num,this.den);this.n=Math.abs(this.num/nc),this.d=Math.abs(this.den/nc);const ac=this.num*this.den;this.s=ac<0?-1:1}toLatex(){return super.toLatex().replace("\\frac","\\dfrac")}toNumber(){return this.num/this.den}toString(){return this.texFraction}valueOf(){return this.toNumber()}sommeFractions(t){let r=new FractionEtendue(this.num,this.den);for(const a of t)r=r.sommeFraction(a).simplifie();return r.simplifie()}simplifie(){return new FractionEtendue(abs$1(this.num)*this.signe/gcd(abs$1(this.num),abs$1(this.den)),abs$1(this.den)/gcd(abs$1(this.num),abs$1(this.den)))}valeurAbsolue(){return new FractionEtendue(abs$1(this.num),abs$1(this.den))}oppose(){return new FractionEtendue(-1*this.num,this.den)}reduire(t){const r=multiply(this.num,t),a=multiply(this.den,t);return new FractionEtendue(r,a)}isEqual(t){return t instanceof FractionEtendue?t.differenceFraction(this).simplifie().num===0:new FractionEtendue(t).differenceFraction(this).simplifie().num===0}differenceFraction(t){return t instanceof FractionEtendue||(t=new FractionEtendue(t)),new FractionEtendue(this.num*t.den-t.num*this.den,t.den*this.den).simplifie()}multiplieEntier(t){return new FractionEtendue(this.num*t,this.den)}entierDivise(t){return new FractionEtendue(this.num,t*this.den)}ajouteEntier(t){return new FractionEtendue(this.num+t*this.den,this.den)}entierMoinsFraction(t){return new FractionEtendue(t*this.den-this.num,this.den)}superieurLarge(t){return t instanceof FractionEtendue||(t=new FractionEtendue(t)),this.num*t.den>=t.num*this.den}superieurstrict(t){return t instanceof FractionEtendue||(t=new FractionEtendue(t)),this.num*t.den>t.num*this.den}inferieurstrict(t){return t instanceof FractionEtendue||(t=new FractionEtendue(t)),this.num*t.den<t.num*this.den}inferieurlarge(t){return t instanceof FractionEtendue||(t=new FractionEtendue(t)),this.num*t.den<=t.num*this.den}estUneSimplification(t){return this.isEqual(t)&&abs$1(this.num)<abs$1(t.num)}sommeFraction(t){if(t instanceof FractionEtendue)return this.den===t.den?new FractionEtendue(this.num+t.num,t.den):[this.den,t.den].indexOf(lcm(this.den,t.den))!==-1?this.den===lcm(this.den,t.den)?new FractionEtendue(this.num+t.num*round(this.den/t.den),this.den):new FractionEtendue(t.num+this.num*round(t.den/this.den),t.den):new FractionEtendue(this.num*round(lcm(this.den,t.den)/this.den)+t.num*round(lcm(this.den,t.den)/t.den),lcm(this.den,t.den));window.notify(`FractionEtendue.sommeFraction(fractionAAjouter) a été appelée avec autre chose qu'une  FractionMathjs  étendue, alors que c'est obligatoire !
Voilci l'argument passé : ${t}`,{argument:t})}texSommeFraction(t,r=!0){if(t instanceof FractionEtendue){const a=new FractionEtendue(t.num,t.den);a.den<0&&(a.den=-a.den,a.num=-a.num);const s=new FractionEtendue(this.num,this.den);this.den<0&&(s.den=-s.den,s.num=-s.num);let l=`${s.texFraction}+${a.texFraction}=`;const u=ppcm$1(s.den,a.den),_=u/s.den,m=u/a.den;if((_!==1||m!==1)&&(_!==1?(l+=`\\dfrac{${s.num}\\times ${_}}{${s.den}\\times ${_}}+`,l+=m===1?`${a.texFraction}=`:`\\dfrac{${String(a.num)}\\times ${String(m)}}{${String(a.den)}\\times ${String(m)}}=`):l+=`${s.texFraction}+\\dfrac{${String(a.num)}\\times ${String(m)}}{${String(a.den)}\\times ${String(m)}}=`,_!==1?(l+=`\\dfrac{${String(s.num*_)}}{${String(s.den*_)}}+`,l+=m===1?`${a.texFraction}=`:`\\dfrac{${String(a.num*m)}}{${String(a.den*m)}}=`):l+=`${s.texFraction}+\\dfrac{${String(a.num*m)}}{${String(a.den*m)}}=`),l+=`\\dfrac{${String(s.num*_)}${ecritureAlgebrique(a.num*m)}}{${String(u)}}=`,l+=`\\dfrac{${String(s.num*_+a.num*m)}}{${String(u)}}`,!r)return l;const g=new FractionEtendue(s.num*_+a.num*m,u);return g.estIrreductible||(l+=`=${g.texFractionSimplifiee}`),l}else return window.notify("texSommeFraction : pour l'instant on n'ajoute que une fractionEtendue et rien d'autre"),""}produitFraction(t){return t instanceof FractionEtendue||(t=new FractionEtendue(t)),this.signe*t.signe===1?new FractionEtendue(Math.abs(this.num*t.num),Math.abs(this.den*t.den)):new FractionEtendue(-Math.abs(this.num*t.num),Math.abs(this.den*t.den))}produitFractions(t){let r=new FractionEtendue(this.num,this.den);for(const a of t)r=r.produitFraction(a);return r.simplifie()}texProduitFraction(t,r="none"){return this.estEntiere?`${this.texFraction}\\times ${t.texFraction}=\\dfrac{${this.simplifie().num+"\\times"+ecritureParentheseSiNegatif(t.num)}}{${ecritureParentheseSiNegatif(t.den)}}
      ${r==="none"||this.produitFraction(t).estIrreductible?"=\\dfrac{"+this.num*t.num+"}{"+this.den*t.den+"}":this.produitFraction(t).texSimplificationAvecEtapes(r)}`:`${this.texFraction}\\times ${t.texFraction}=\\dfrac{${this.num+"\\times"+ecritureParentheseSiNegatif(t.num)}}{${this.den+"\\times"+ecritureParentheseSiNegatif(t.den)}}
    ${r==="none"||this.produitFraction(t).estIrreductible?"=\\dfrac{"+this.num*t.num+"}{"+this.den*t.den+"}":`${this.den!==t.num&&t.den!==this.num?"=\\dfrac{"+(decompositionFacteursPremiers(this.num)||"1")+"\\times "+(decompositionFacteursPremiers(t.num)||"1")+"}{"+(decompositionFacteursPremiers(this.den)||"1")+"\\times "+(decompositionFacteursPremiers(t.den)||"1")+"}"+this.produitFraction(t).texSimplificationAvecEtapes(r):`${this.den===t.num?"=\\dfrac{"+this.num+"}{"+t.den+"}"+new FractionEtendue(this.num,t.den).texSimplificationAvecEtapes(r):"=\\dfrac{"+t.num+"}{"+this.den+"}"+new FractionEtendue(t.num,this.den).texSimplificationAvecEtapes(r)}`}`}`}texDiviseFraction(t,r="none",a="/"){const s="\\phantom{\\dfrac{(_(^(}{(_(^(}}",l="\\phantom{(_(^(}";return this.estEntiere?t.inverse().estEntiere&&t.num===1?a==="/"?`\\dfrac{${l+this.texFraction+l}}{${(t.estEntiere?l:s)+t.texFraction+(t.estEntiere?l:s)}}=${this.simplifie().texFSD}\\times ${t.inverse().simplifie().texFSP}=${this.simplifie().num*t.inverse().simplifie().num}`:`${this.simplifie().texFraction}\\div${t.texFraction}=${this.simplifie().texFSD}\\times ${t.inverse().simplifie().texFSP}=${this.simplifie().num*t.inverse().simplifie().num}`:a==="/"?`\\dfrac{${l+this.texFraction+l}}{${(t.estEntiere?l:s)+t.texFraction+(t.estEntiere?l:s)}}=${this.texFractionSimplifiee}\\times ${t.inverse().texFraction}=\\dfrac{${this.texFractionSimplifiee+"\\times "+ecritureParentheseSiNegatif(t.den)}}{${ecritureParentheseSiNegatif(t.num)}}
      ${r==="none"||this.diviseFraction(t).estIrreductible?"=\\dfrac{"+this.simplifie().num*t.den+"}{"+t.num+"}":"=\\dfrac{"+decompositionFacteursPremiers(this.num)+"\\times "+decompositionFacteursPremiers(t.den)+"}{"+decompositionFacteursPremiers(this.den)+"\\times "+decompositionFacteursPremiers(t.num)+"}"+this.diviseFraction(t).texSimplificationAvecEtapes(r)}`:`${this.texFraction}\\div${t.texFraction}=${this.texFractionSimplifiee}\\times ${t.inverse().texFraction}=\\dfrac{${this.texFractionSimplifiee+"\\times "+ecritureParentheseSiNegatif(t.den)}}{${ecritureParentheseSiNegatif(t.num)}}
      ${r==="none"||this.diviseFraction(t).estIrreductible?"=\\dfrac{"+this.simplifie().num*t.den+"}{"+t.num+"}":"=\\dfrac{"+decompositionFacteursPremiers(this.num)+"\\times "+decompositionFacteursPremiers(t.den)+"}{"+decompositionFacteursPremiers(this.den)+"\\times "+decompositionFacteursPremiers(t.num)+"}"+this.diviseFraction(t).texSimplificationAvecEtapes(r)}`:t.inverse().estEntiere&&t.num===1?a==="/"?`\\dfrac{${s+this.texFraction+s}}{${(t.estEntiere?l:s)+t.texFraction+(t.estEntiere?l:s)}}=${this.texFraction}\\times ${t.inverse().simplifie().texFSP}=\\dfrac{${this.num+"\\times "+t.inverse().simplifie().texFSP}}{${this.den}}
      ${r==="none"||this.diviseFraction(t).estIrreductible?"=\\dfrac{"+this.num*t.den+"}{"+this.den*t.num+"}":"=\\dfrac{"+decompositionFacteursPremiers(this.num)+"\\times "+decompositionFacteursPremiers(t.den)+"}{"+decompositionFacteursPremiers(this.den)+"}"+this.diviseFraction(t).texSimplificationAvecEtapes(r)}`:`${this.texFraction}\\div${t.texFraction}=${this.texFraction}\\times ${t.inverse().texFractionSimplifiee}=\\dfrac{${this.num+"\\times "+t.inverse().texFractionSimplifiee}}{${this.den}}
      ${r==="none"||this.diviseFraction(t).estIrreductible?"=\\dfrac{"+this.num*t.den+"}{"+this.den*t.num+"}":"=\\dfrac{"+decompositionFacteursPremiers(this.num)+"\\times "+decompositionFacteursPremiers(t.den)+"}{"+decompositionFacteursPremiers(this.den)+"}"+this.diviseFraction(t).texSimplificationAvecEtapes(r)}`:a==="/"?`\\dfrac{${s+this.texFraction+s}}{${(t.estEntiere?l:s)+t.texFraction+(t.estEntiere?l:s)}}=${this.texFraction}\\times ${t.inverse().texFraction}=\\dfrac{${this.num+"\\times "+ecritureParentheseSiNegatif(t.den)}}{${this.den+"\\times "+ecritureParentheseSiNegatif(t.num)}}
      ${r==="none"||this.diviseFraction(t).estIrreductible?"=\\dfrac{"+this.num*t.den+"}{"+this.den*t.num+"}":"=\\dfrac{"+decompositionFacteursPremiers(this.num)+"\\times "+decompositionFacteursPremiers(t.den)+"}{"+decompositionFacteursPremiers(this.den)+"\\times "+decompositionFacteursPremiers(t.num)+"}"+this.diviseFraction(t).texSimplificationAvecEtapes(r)}`:`${this.texFraction}\\div${t.texFraction}=${this.texFraction}\\times ${t.inverse().texFraction}=\\dfrac{${this.num+"\\times "+t.den}}{${this.den+"\\times "+t.num}}
      ${r==="none"||this.diviseFraction(t).estIrreductible?"=\\dfrac{"+this.num*t.den+"}{"+this.den*t.num+"}":"=\\dfrac{"+decompositionFacteursPremiers(this.num)+"\\times "+decompositionFacteursPremiers(t.den)+"}{"+decompositionFacteursPremiers(this.den)+"\\times "+decompositionFacteursPremiers(t.num)+"}"+this.diviseFraction(t).texSimplificationAvecEtapes(r)}`}puissanceFraction(t){return new FractionEtendue(this.num**t,this.den**t)}inverse(){return this.num!==0?new FractionEtendue(this.den,this.num):(window.notify("FractionEtendue.inverse() : division par zéro",{fraction:this}),NaN)}diviseFraction(t){if(["Fraction","FractionEtendue"].indexOf(t.type)===-1)if(window.notify("FractionEtendue.diviseFraction() : l'argument n'est pas une fraction",{f2:t}),Number.isNaN(t))window.notify("FractionEtendue.diviseFraction() : l'argument n'est pas un nombre",{f2:t});else return this.multiplieEntier(1/t);else return this.produitFraction(t.inverse())}diviseEntier(t){return new FractionEtendue(t*this.den,this.num).simplifie()}texQuotientFraction(t){return`${this.texFraction}\\div ${t.texFraction}=${this.texFraction}\\times ${t.inverse().texFraction}=\\dfrac{${this.num+"\\times"+t.den}}{${this.den+"\\times"+t.num}}=\\dfrac{${this.num*t.den}}{${this.den*t.num}}`}texSimplificationAvecEtapes(t=!1,r=""){if(this.estIrreductible&&this.num>0&&this.den>0)return"";if(this.estIrreductible&&this.num*this.den<0)return`=${this.texFSD}`;if(t){const a=this.sign===-1?"-":"",s=Math.abs(this.num),l=Math.abs(this.den),u=obtenirListeFacteursPremiers(s),_=obtenirListeFacteursPremiers(l);let m="=";const g=[],f=[];u.forEach(function($e){g.push([$e,!0])}),_.forEach(function($e){f.push([$e,!0])});for(let ne=0;ne<_.length;){for(let $e=0;$e<=u.length;){if(_[ne]===u[$e]){f[ne]=[_[ne],!1],g[$e]=[u[$e],!1],u[$e]=1,_[ne]=1;break}$e++}ne++}let x=1,w=1;for(const ne of u)x=x*ne;for(const ne of _)w=w*ne;let Z="",Ce="";for(const ne in g)g[ne][1]===!0?Z+=g[ne][0]+"\\times":Z+="\\cancel{"+g[ne][0]+"}\\times";Z=Z.substring(0,Z.length-6);for(const ne in f)f[ne][1]===!0?Ce+=f[ne][0]+"\\times":Ce+="\\cancel{"+f[ne][0]+"}\\times";return Ce=Ce.substring(0,Ce.length-6),m+=`${a}\\dfrac{${Z}}{${Ce}}`,m+=r!==""?`=${miseEnEvidence(`${a}${new FractionEtendue(x,w).simplifie().texFraction}`,r)}`:`=${a}${new FractionEtendue(x,w).simplifie().texFraction}`,m}else{const a=this.sign===-1?"-":"",s=Math.abs(this.num),l=Math.abs(this.den),u=gcd(s,l);if(u!==1){const _=`=${a}\\dfrac{${s/u}${miseEnEvidence("\\times"+ecritureParentheseSiNegatif(u),"#2563a5")} }{${l/u}${miseEnEvidence("\\times"+ecritureParentheseSiNegatif(u),"#2563a5")}}=`;let m;return Math.abs(l/u)!==1?m=`${a}\\dfrac{${Math.abs(s/u)}}{${Math.abs(l/u)}}`:m=`${a}${Math.abs(s/u)}`,r!==""&&(m=miseEnEvidence(m,r)),_+m}else{let _;return egal(Math.abs(l/u),1)?_=`=${a}${Math.abs(s/u)}`:_=`=${a}\\dfrac{${Math.abs(s/u)}}{${Math.abs(l/u)}}`,r!==""&&(_=miseEnEvidence(_,r)),_}}}fractionDecimale(){const t=Math.abs(this.simplifie().den),r=Math.abs(this.simplifie().num),a=this.simplifie().signe,s=obtenirListeFacteursPremiers(t);let l=0,u=0;for(const _ of s)if(_===2)l++;else if(_===5)u++;else return window.notify("FractionEtendue.valeurDecimale :  FractionMathjs  non décimale",{fraction:this}),NaN;return u===l?new FractionEtendue(r*a,t):u>l?new FractionEtendue(a*r*2**(u-l),t*2**(u-l)):new FractionEtendue(a*r*5**(l-u),t*5**(l-u))}texRacineCarree(t=!1){if(this.estParfaite)return this.racineCarree().texFraction;if(this.signe===-1)return!1;let r=extraireRacineCarree(Math.abs(this.den)),a,s;this.estEntiere?(a=extraireRacineCarree(Math.abs(this.num)),a[0]!==1?s=t?`\\sqrt{${Math.abs(this.num)}}=`:"":s=""):s=t?`\\sqrt{\\dfrac{${this.num}}{${this.den}}}=`:"",r[1]!==1?(this.estEntiere||(s+=t?`\\sqrt{\\dfrac{${Math.abs(this.num)}\\times ${r[1]}}{${Math.abs(this.den)}\\times ${r[1]}}}=`:"",s+=t?`\\sqrt{\\dfrac{${Math.abs(this.num*r[1])}}{${Math.abs(this.den*r[1])}}}=`:""),a=extraireRacineCarree(Math.abs(this.num*r[1])),r=extraireRacineCarree(Math.abs(this.den*r[1]))):a=extraireRacineCarree(Math.abs(this.num));const l=fraction(a[0],r[0]).simplifie(),u=fraction(a[1],r[1]).simplifie();return t&&l.valeurDecimale!==1&&(l.denIrred===1?(s+=t?`\\sqrt{${a[0]}^2\\times${a[1]}}=`:"",s+=t?`${a[0]}${a[1]!==1?"\\sqrt{"+a[1]+"}":"}"}`:""):a[0]!==1?(s+=t?`\\sqrt{\\dfrac{${a[0]}^2${a[1]!==1?"\\times "+a[1]:""}}{${r[0]}^2${r[1]!==1?"\\times"+r[1]:""}}}=`:"",s+=t?`\\dfrac{${a[0]}${a[1]!==1?"\\times\\sqrt{"+a[1]+"}":""}}{${r[0]}${r[1]!==1?"\\times\\sqrt{"+r[1]+"}":""}}=`:""):r[1]!==1?s+=t?`\\sqrt{\\dfrac{${a[1]}}{${r[0]}^2\\times ${r[1]}}}=`:"":s+=t?`\\sqrt{\\dfrac{${a[1]}}{${r[0]}^2}}=`:""),arrondi(a[1]/r[1],6)===1?s+l.texFraction:l.numIrred===1&&l.denIrred!==1?u.denIrred===1?l.valeurDecimale===1?s:s+`\\dfrac{\\sqrt{${u.numIrred}}}{${l.denIrred}}`:(l.valeurDecimale===1?s:s+l.texFraction)+`\\sqrt{${u.toLatex()}}`:(l.valeurDecimale===1?s:s+l.texFraction)+`\\sqrt{${u.toLatex()}}`}racineCarree(){const t=extraireRacineCarree(Math.abs(this.num)),r=extraireRacineCarree(Math.abs(this.den)),a=fraction(t[0],r[0]).simplifie();return fraction(t[1],r[1]).simplifie().valeurDecimale!==1||this.signe===-1?!1:a}representationIrred(t,r,a,s=0,l="gateau",u="gray",_=0,m=1,g=1,f=""){let x,w,Z,Ce,ne,$e,Ie;const Dt=[],Lr=quotientier(this.numIrred,this.denIrred);x=this.numIrred;const ec=function(ys,tc,nc="black",ac=1){const sc=point(ys,tc+.2),cc=point(ys,tc-.2),uc=segment(sc,cc,nc);return uc.epaisseur=ac,uc};if(l==="gateau"){for(w=0;w<Lr;w++){$e=point(t+w*2*(a+.5),r),Ie=cercle($e,a),Dt.push(Ie);for(let ys=0;ys<this.denIrred;ys++)Ce=segment($e,rotation(point(t+a+w*2*(a+.5),r),$e,90-ys*360/this.denIrred)),Dt.push(Ce);Z=rotation(point(t+a+w*2*(a+.5),r),$e,90-s*360/this.denIrred);for(let ys=0;ys<Math.min(this.denIrred,x);ys++)ne=arc(Z,$e,-360/this.denIrred,!0,u),ne.opacite=.3,Z=rotation(Z,$e,-360/this.denIrred),Dt.push(ne);x-=this.denIrred}if(Math.abs(this.numIrred)%Math.abs(this.denIrred)!==0){$e=point(t+w*2*(a+.5),r),Ie=cercle($e,a),Dt.push(Ie);for(let ys=0;ys<this.denIrred;ys++)Ce=segment($e,rotation(point(t+a+w*2*(a+.5),r),$e,90-ys*360/this.denIrred)),Dt.push(Ce);Z=rotation(point(t+a+w*2*(a+.5),r),$e,90-s*360/this.denIrred);for(let ys=0;ys<Math.min(this.denIrred,x);ys++)ne=arc(Z,$e,-360/this.denIrred,!0,u),ne.opacite=.3,Z=rotation(Z,$e,-360/this.denIrred),Dt.push(ne)}}else if(l==="segment"){for(w=0;w<Lr;w++){$e=point(t+w*a,r),Ie=translation($e,vecteur(a,0)),Ce=segment($e,Ie),Ce.styleExtremites="-|",Dt.push(Ce);for(let ys=0;ys<this.denIrred;ys++)Ce=segment(translation($e,vecteur(ys*a/this.denIrred,0)),translation($e,vecteur((ys+1)*a/this.denIrred,0))),Ce.styleExtremites="|-",Dt.push(Ce);ne=segment($e,point($e.x+Math.min(x,this.denIrred)*a/this.denIrred,$e.y),u),ne.opacite=.4,ne.epaisseur=6,Dt.push(ne),x-=this.denIrred}$e=point(t+w*a,r),Ie=translation($e,vecteur(a,0)),Ce=segment($e,Ie),Ce.styleExtremites="-|",Dt.push(Ce);for(let ys=0;ys<this.denIrred;ys++)Ce=segment(translation($e,vecteur(ys*a/this.denIrred,0)),translation($e,vecteur((ys+1)*a/this.denIrred,0))),Ce.styleExtremites="|-",Dt.push(Ce);if(ne=segment($e,point($e.x+Math.min(this.numIrred,this.denIrred)*a/this.denIrred,$e.y),u),ne.opacite=.4,ne.epaisseur=6,Dt.push(ne),Dt.push(ec(t,r)),typeof _=="number"&&typeof m=="number")for(w=0;w<=Lr+1;w++)Dt.push(texteParPosition(stringNombre(_+w*(m-_),0),t+a*w,r-.6,"milieu","black",g));else _!=null&&Dt.push(texteParPosition(String(_),t,r-.6,"milieu","black",g)),m!=null&&Dt.push(texteParPosition(String(m),t+a,r-.6,"milieu","black",g)),f!=null&&Dt.push(texteParPosition(f,t+a*this.numIrred/this.denIrred,r-.6,"milieu","black",g))}else{let ys;this.denIrred%6===0?ys=6:this.denIrred%5===0?ys=5:this.denIrred%4===0?ys=4:this.denIrred%3===0?ys=3:this.denIrred%2===0?ys=2:ys=1;const tc=Math.max(a/ys,1);for(w=0;w<Lr;w++){for(let nc=0;nc<ys;nc++)for(let ac=0;ac<this.denIrred/ys;ac++)$e=point(t+w*(ys*tc+1)+nc*tc,r+ac*tc),Ie=translation($e,vecteur(tc,0)),Z=carre$2($e,Ie,"black"),Z.couleurDeRemplissage=colorToLatexOrHTML(u),Z.opaciteDeRemplissage=.4,Dt.push(Z);x-=this.denIrred}if(x>0){for(let nc=0;nc<ys;nc++)for(let ac=0;ac<this.denIrred/ys;ac++)$e=point(t+Lr*(ys*tc+1)+nc*tc,r+ac*tc),Ie=translation($e,vecteur(tc,0)),Z=carre$2($e,Ie,"black"),Dt.push(Z);for(let nc=0;nc<x;nc++)$e=point(t+Lr*(ys*tc+1)+nc%ys*tc,r+quotientier(nc,ys)*tc),Ie=translation($e,vecteur(tc,0)),Z=carre$2($e,Ie,"black"),Z.couleurDeRemplissage=colorToLatexOrHTML(u),Z.opaciteDeRemplissage=.4,Dt.push(Z)}}return Dt}representation(t,r,a,s=0,l="gateau",u="gray",_=0,m=1,g=1,f=""){const x=[];let w,Z,Ce,ne,$e,Ie,Dt;const Lr=quotientier(Math.abs(this.num),Math.abs(this.den));w=Math.abs(this.num);const ec=function(ys,tc,nc="black",ac=1){const sc=point(ys,tc+.2),cc=point(ys,tc-.2),uc=segment(sc,cc,nc);return uc.epaisseur=ac,uc};if(l==="gateau"){for(Z=0;Z<Lr;Z++){const ys=point(t+Z*2*(a+.5),r),tc=cercle(ys,a);x.push(tc);let nc,ac;for(let sc=0;sc<this.den;sc++)nc=segment(ys,rotation(point(t+a+Z*2*(a+.5),r),ys,90-sc*360/this.den)),x.push(nc);Ce=rotation(point(t+a+Z*2*(a+.5),r),ys,90-s*360/this.den);for(let sc=0;sc<Math.min(this.den,w);sc++)ac=arc(Ce,ys,-360/this.den,!0,u),ac.opacite=.3,Ce=rotation(Ce,ys,-360/this.den),x.push(ac);w-=this.den}if(this.num%this.den!==0){const ys=point(t+Z*2*(a+.5),r),tc=cercle(ys,a);x.push(tc);for(let nc=0;nc<this.den;nc++)ne=segment(ys,rotation(point(t+a+Z*2*(a+.5),r),ys,90-nc*360/this.den)),x.push(ne);if(Ce=rotation(point(t+a+Z*2*(a+.5),r),ys,90-s*360/this.den),this.num%this.den!==0)for(let nc=0;nc<Math.min(this.den,w);nc++)$e=arc(Ce,ys,-360/this.den,!0,u),$e.opacite=.3,Ce=rotation(Ce,ys,-360/this.den),x.push($e)}}else if(l==="segment"){for(Z=0;Z<Lr;Z++){Ie=point(t+Z*a,r),Dt=translation(Ie,vecteur(a,0)),ne=segment(Ie,Dt),ne.styleExtremites="-|",x.push(ne);for(let ys=0;ys<this.den;ys++)ne=segment(translation(Ie,vecteur(ys*a/this.den,0)),translation(Ie,vecteur((ys+1)*a/this.den,0))),ne.styleExtremites="|-",x.push(ne);$e=segment(Ie,point(Ie.x+Math.min(w,this.den)*a/this.den,Ie.y),u),$e.opacite=.4,$e.epaisseur=6,x.push($e),w-=this.den}Ie=point(t+Z*a,r),Dt=translation(Ie,vecteur(a,0)),ne=segment(Ie,Dt),ne.styleExtremites="-|",x.push(ne);for(let ys=0;ys<this.den;ys++)ne=segment(translation(Ie,vecteur(ys*a/this.den,0)),translation(Ie,vecteur((ys+1)*a/this.den,0))),ne.styleExtremites="|-",x.push(ne);if($e=segment(Ie,point(Ie.x+Math.min(w,this.den)*a/this.den,Ie.y),u),$e.opacite=.4,$e.epaisseur=6,x.push($e),x.push(ec(t,r)),typeof _=="number"&&typeof m=="number")for(Z=0;Z<=Lr+1;Z++)x.push(texteParPosition(String(_+Z*(m-_)),t+a*Z,r-.6,"milieu","black",g));else String(_)!==""&&x.push(texteParPosition(String(_),t,r-.6,"milieu","black",g)),String(m)!==""&&x.push(texteParPosition(String(m),t+a,r-.6,"milieu","black",g)),f!==""&&x.push(texteParPosition(f,t+a*this.num/this.den,r-.6,"milieu","black",g))}else{let ys;this.den%6===0?ys=6:this.den%5===0?ys=5:this.den%4===0?ys=4:this.den%3===0?ys=3:this.den%2===0?ys=2:ys=1;const tc=Math.max(a/ys,1);for(Z=0;Z<Lr;Z++){for(let nc=0;nc<ys;nc++)for(let ac=0;ac<this.den/ys;ac++)Ie=point(t+Z*(ys*tc+1)+nc*tc,r+ac*tc),Dt=translation(Ie,vecteur(tc,0)),Ce=carre$2(Ie,Dt,"black"),Ce.couleurDeRemplissage=colorToLatexOrHTML(u),Ce.opaciteDeRemplissage=.4,x.push(Ce);w-=this.den}if(w>0){for(let nc=0;nc<ys;nc++)for(let ac=0;ac<this.den/ys;ac++)Ie=point(t+Lr*(ys*tc+1)+nc*tc,r+ac*tc),Dt=translation(Ie,vecteur(tc,0)),Ce=carre$2(Ie,Dt,"black"),x.push(Ce);for(let nc=0;nc<w;nc++)Ie=point(t+Lr*(ys*tc+1)+nc%ys*tc,r+quotientier(nc,ys)*tc),Dt=translation(Ie,vecteur(tc,0)),Ce=carre$2(Ie,Dt,"black"),Ce.couleurDeRemplissage=colorToLatexOrHTML(u),Ce.opaciteDeRemplissage=.4,x.push(Ce)}}return x}static texArrayReponsesCoupleDeFractionsEgalesEtSimplifiees(t,r,a,s){return this.texArrayReponsesCoupleDeFractions(t,r,a,s,!0)}static texArrayReponsesFractionsEgalesEtSimplifiees(t,r){const a=this.listerFractionsSimplifiees(t,r),s=[];for(const l of a){const u=this.texArrayReponsesFraction(l[0],l[1]);for(const _ of u)s.push(_)}return s}static texArrayReponsesCoupleDeFractions(t,r,a,s,l=!1){let u,_;l?(u=this.texArrayReponsesFractionsEgalesEtSimplifiees(t,r),_=this.texArrayReponsesFractionsEgalesEtSimplifiees(a,s)):(u=this.texArrayReponsesFraction(t,r),_=this.texArrayReponsesFraction(a,s));const m=[];for(const g of u)for(const f of _)m.push(g+";"+f,f+";"+g);return m}static texArrayReponsesFraction(t,r){const a=Math.abs(t),s=Math.abs(r);return s===1?[(t*r).toString()]:t*r>0?[`\\frac{${a}}{${s}}`,`\\frac{${-a}}{${-s}}`,`-\\frac{${-a}}{${s}}`,`-\\frac{${a}}{${-s}}`]:t*r<0?[`-\\frac{${a}}{${s}}`,`-\\frac{${-a}}{${-s}}`,`\\frac{${-a}}{${s}}`,`\\frac{${a}}{${-s}}`]:["0"]}static listerFractionsSimplifiees(t,r){if(pgcd(t,r)===1)return[[t,r]];{const a=[];for(const s of listeDesDiviseurs(pgcd(t,r)))a.push([t/s,r/s]);return a}}}function rienSi1(n){if(n instanceof Fraction||n instanceof FractionEtendue)return n.toLatex().replace("dfrac","frac");if(typeof n=="string"&&(window.notify("rienSi1() n'accepte pas les string.",{argument:n}),n=Number(n)),equal(n,1))return"";if(equal(n,-1))return"-";if(Number(n)||n===0)return stringNombre(n);window.notify("rienSi1 : type de valeur non prise en compte : ",{a:n})}function texteExposant(n){return context.isHtml?`<sup>${n}</sup>`:`\\up{${n}}`}function ecritureNombreRelatif(n){return typeof n=="string"&&(window.notify("ecritureNombreRelatif() n'accepte pas les string.",{argument:n}),n=Number(n)),n>0?"(+"+n.toString()+")":n<0?"("+n.toString()+")":"0"}function ecritureNombreRelatifc(n){typeof n=="string"&&(window.notify("ecritureNombreRelatifc() n'accepte pas les string.",{argument:n}),n=Number(n));let t="";return n>0?t=miseEnEvidence("(+"+texNombre(n)+")","blue"):n<0?t=miseEnEvidence("("+texNombre(n)+")"):t=miseEnEvidence("0","black"),t}function ecritureAlgebrique(n){if(typeof n=="string"&&(window.notify("ecritureAlgebrique() n'accepte pas les string.",{argument:n}),n=Number(n)),n instanceof Fraction||n instanceof FractionEtendue)return fraction(n).ecritureAlgebrique;if(typeof n=="number")return n>=0?"+"+texNombre(n):texNombre(n);if(n instanceof Decimal)return n.isPos()?"+"+texNombre(n):texNombre(n);window.notify("ecritureAlgebrique : type de valeur non prise en compte")}function ecritureAlgebriqueSauf1(n){if(n instanceof Fraction||n instanceof FractionEtendue)return fraction(n).ecritureAlgebrique;if(typeof n=="string"&&(window.notify("ecritureAlgebriqueSauf1() n'accepte pas les string.",{argument:n}),n=Number(n)),equal(n,1))return"+";if(equal(n,-1))return"-";if(typeof n=="number")return ecritureAlgebrique(n);window.notify("ecritureAlgebriqueSauf1 : type de valeur non prise en compte")}function ecritureAlgebriquec(n){typeof n=="string"&&(window.notify("ecritureAlgebriquec() n'accepte pas les string.",{argument:n}),n=Number(n));let t="";return n>0?t=miseEnEvidence("+"+texNombre(n),"blue"):n<0?t=miseEnEvidence(texNombre(n)):t=miseEnEvidence(texNombre(n),"black"),t}function signeMoinsEnEvidence(n,t=0){if(typeof n!="number")window.notify("signeMoinsEnEvidence() appelé avec autre chose qu'un nombre.",{argument:n});else return n<0?miseEnEvidence("-")+texNombre(Math.abs(n),t):texNombre(Math.abs(n),t)}function ecritureParentheseSiNegatif(n){let t="";if(n instanceof Decimal)return n.gte(0)?texNombre(n,8):`(${texNombre(n,8)})`;if(typeof n=="number")return n>=0?t=texNombre(n,8):t=`(${texNombre(n,8)})`,t;if(n instanceof FractionEtendue)return n.ecritureParentheseSiNegatif;window.notify("ecritureParentheseSiNegatif() appelée avec autre chose qu'un nombre",{argument:n})}function ecritureParentheseSiMoins(n){return typeof n=="string"&&n[0]==="-"?`(${n})`:typeof n=="string"?n:typeof n=="number"&&n<0?`(${stringNombre(n,void 0)})`:typeof n=="number"?stringNombre(n,void 0):n instanceof FractionEtendue&&n.s===-1?`(${n.texFSD})`:(window.notify("ecritureParentheseSiMoins() n'accepte pas ce type d'argument.",{argument:n}),n)}function egalOuApprox(n,t){return typeof n=="object"&&["Fraction","FractionEtendue"].indexOf(n.type)!==-1?egal(n.n/n.d,arrondi(n.n/n.d,t))?"=":"\\approx":n instanceof Decimal?n.eq(n.toDP(t))?"=":"\\approx":!isNaN(n)&&!isNaN(t)?egal(n,round(n,t),10**(-t-2))?"=":"\\approx":(window.notify("egalOuApprox : l'argument n'est pas un nombre",{a:n,precision:t}),"Mauvais argument (nombres attendus).")}function reduireAxPlusB(n,t,r="x"){n instanceof Decimal||(n=new Decimal(n)),t instanceof Decimal||(t=new Decimal(t));let a="";return n.isZero()||(n.eq(1)?a=r:n.eq(-1)?a="-"+r:a=`${texNombre(n)}${r}`),t.isZero()?n.isZero()&&(a="0"):n.isZero()?a=texNombre(t):a+=`${ecritureAlgebrique(t)}`,a}function reduirePolynomeDegre3(n,t,r,a,s="x"){let l="";if(n!==0){switch(n){case 1:l+=`${s}^3`;break;case-1:l+=`-${s}^3`;break;default:l+=`${n}${s}^3`;break}if(t!==0)switch(t){case 1:l+=`+${s}^2`;break;case-1:l+=`-${s}^2`;break;default:l+=`${ecritureAlgebrique(t)}${s}^2`;break}if(r!==0)switch(r){case 1:l+=`+${s}`;break;case-1:l+=`-${s}`;break;default:l+=`${ecritureAlgebrique(r)}${s}`;break}a!==0&&(l+=`${ecritureAlgebrique(a)}`)}else if(t!==0){switch(t){case 1:l+=`${s}^2`;break;case-1:l+=`-${s}^2`;break;default:l+=`${t}${s}^2`;break}if(r!==0)switch(r){case 1:l+=`+${s}`;break;case-1:l+=`-${s}`;break;default:l+=`${ecritureAlgebrique(r)}${s}`;break}a!==0&&(l+=`${ecritureAlgebrique(a)}`)}else if(r!==0){switch(r){case 1:l+=`${s}`;break;case-1:l+=`-${s}`;break;default:l+=`${r}${s}`;break}a!==0&&(l+=`${ecritureAlgebrique(a)}`)}else l+=`${a}`;return l}function pgcd(...n){return gcd(...n)}function obtenirListeFacteursPremiers(n){if(n===1||n===0)return[];const t=[],r=n<0?-1:1;for(let a=2;a<=Math.abs(n);a++)for(;n%a===0;)t.push(a),n/=a;return t[0]=r*t[0],t}function factorisation(n){if(n===1)return[1];const t=obtenirListeFacteursPremiers(n),r=[];let a=0;for(let s=0;s<t.length;)if(t[s]===0)s++;else{r.push([t[s],1]),a++;for(let l=s+1;l<t.length;l++)t[l]===t[s]&&(r[a-1][1]++,t[l]=0);s++}return r}function texFactorisation(n,t=!0){let r="",a=[];if(t){a=factorisation(n);for(let s=0;s<a.length-1;s++)r+=`${a[s][0]}${a[s][1]>1?"^{"+a[s][1]+"}\\times ":"\\times "}`;r+=`${a[a.length-1][0]}${a[a.length-1][1]>1?"^{"+a[a.length-1][1]+"}":""}`}else{a=obtenirListeFacteursPremiers(n);for(let s=0;s<a.length-1;s++)r+=`${a[s][0]}\\times `;r+=`${a[a.length-1][0]}`}return r}function listeDesDiviseurs(n){let t=2;const r=[1];for(;t<=n;)n%t===0&&r.push(t),t++;return r}function premierMultipleSuperieur(n,t){let r=t,a;if(Number.isInteger(n)&&Number.isInteger(t)){for(;r%n!==0;)r+=1;return r}else return egal(Math.floor(t/n,t/n))?t:(a=t/n-Math.floor(t/n),t-a*n+n)}function premierMultipleInferieur(n,t){const r=premierMultipleSuperieur(n,t);return r!==t?r-n:t}function listeNombresPremiersStrictJusqua(n){const t=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293],r=[];let a=0;for(;t[a]<n;)r.push(t[a]),a++;return r}function cribleEratostheneN(n){const t=[],r=Math.sqrt(n+1),a=[];for(let s=0;s<n+1;s++)t.push(!0);for(let s=2;s<=r;s++)if(t[s])for(let l=s*s;l<n+1;l+=s)t[l]=!1;for(let s=2;s<n+1;s++)t[s]&&a.push(s);return a}function premiersEntreBornes(n,t){const r=cribleEratostheneN(n-1),a=cribleEratostheneN(t);return a.splice(0,r.length),a}function decompositionFacteursPremiersArray(n){const t=[],r=obtenirListeFacteursPremiers(n);for(const a in r)t.push(r[a]);return t}function decompositionFacteursPremiers(n){let t="";const r=obtenirListeFacteursPremiers(n);for(const a in r)t+=ecritureParentheseSiNegatif(r[a])+"\\times";return t=t.substr(0,t.length-6),t}function premierAvec(n,t=[]){if(n<2)throw Error(`Impossible de trouver un nombre premier avec ${n}`);let r=inferieur?2:n+1;do{if(pgcd(n,r)===1&&!t.includes(r))return r;r++}while(!0)}function produitsEnCroix([[n,t],[r,a]]){let s="";return s+=`$${n}\\times${a}=${t}\\times${r}$`,s}function quatriemeProportionnelle(n,t,r,a){let s="";if(typeof n=="number"&&typeof t=="number"&&typeof r=="number"){if(n===0)return s="=erreur : division par zéro",s;const l=new Decimal(t).mul(r).div(n);return s+=`\\dfrac{${texNombre(t)}\\times${texNombre(r)}}{${texNombre(n)}}`,l.eq(l.toDP(a))?s+="=":s+="\\approx",s+=`${texNombre(l,a)}`,s}else return`\\dfrac{${t} \\times${r}}{${n}}`}function extraireRacineCarree(n){if(n===1)return[[1],[1]];const t=factorisation(n);let r=1,a=1;for(let s=0;s<t.length;s++)t[s][1]%2===0?a*=t[s][0]**(t[s][1]>>1):(t[s][1]>1&&(a*=t[s][0]**(t[s][1]-1>>1)),r*=t[s][0]);return[a,r]}function sommeDesTermesParSigne(n){let t=0,r=0;for(let a=0;a<n.length;a++)n[a]>0?t+=n[a]:r+=n[a];return[t,r]}const math={format:format$1,evaluate};function texRacineCarree(n){const t=extraireRacineCarree(n);return t[1]===1?`${t[0]}`:t[0]===1?`\\sqrt{${t[1]}}`:`${t[0]}\\sqrt{${t[1]}}`}function texNombreCoul(n,t="green",r="red",a="black",s){return typeof n=="string"&&window.notify("texNombreCouleur appelé avec un string à la place d'un nombre",{nombre:n}),n>0?miseEnEvidence(texNombre(n,s),t):n<0?miseEnEvidence(texNombre(n,s),r):miseEnEvidence(texNombre(0,s),a)}function numberFormat(n){return Intl.NumberFormat("fr-FR",{maximumFractionDigits:20}).format(n).toString().replace(/\s+/g,"\\thickspace ")}function texNombre(n,t,r=!1,a=!1){return typeof n=="string"&&window.notify("texNombre appelé avec un string à la place d'un nombre",{nombre:n}),afficherNombre(n,t,"texNombre",r,a).replace(",","{.}").replace(/\s+/g,"{,}")}function texNombre2(n){typeof n=="string"&&window.notify("texNombre2 appelé avec un string à la place d'un nombre",{nombre:n});let t=math.format(n,{notation:"auto",lowerExp:-12,upperExp:12,precision:12}).replace(".",",");const r=t.indexOf(",");let a;r!==-1?a=t.substring(0,r):a=t;let s="";r!==-1&&(s=t.substring(r+1));for(let l=a.length-3;l>0;l-=3)a=a.substring(0,l)+"\\,"+a.substring(l);for(let l=3;l<s.length;l+=5)s=s.substring(0,l)+"\\,"+s.substring(l),l+=12;return s===""?t=a:t=a+"{,}"+s,t}function texNombre3(n){typeof n=="string"&&window.notify("texNombre3 appelé avec un string à la place d'un nombre",{nombre:n});let t=math.format(n,{notation:"auto",lowerExp:-12,upperExp:12,precision:12}).replace(".",",");const r=t.indexOf(",");let a;r!==-1?a=t.substring(0,r):a=t;let s="";r!==-1&&(s=t.substring(r+1));for(let l=a.length-3;l>0;l-=3)a=a.substring(0,l)+sp()+a.substring(l);for(let l=3;l<=s.length;l+=3)s=s.substring(0,l)+sp()+s.substring(l),l+=12;return s===""?t=a:t=a+","+s,t}function nombreAvecEspace(n){if(isNaN(n))return window.notify("nombreAvecEspace : argument NaN ou undefined",{nb:n}),"NaN";if(context.isHtml)return Intl.NumberFormat("fr-FR",{maximumFractionDigits:20}).format(n).toString().replace(/\s+/g," ");{let t;return n>999||nombreDeChiffresDansLaPartieDecimale(n)>3?t="\\numprint{"+n.toString().replace(".",",")+"}":t=Number(n).toString().replace(".","{,}"),t}}function scientifiqueToDecimal(n,t){return t<-6?Decimal.set({toExpNeg:t-1}):t>20&&Decimal.set({toExpPos:t+1}),texNombre(new Decimal(n).mul(Decimal.pow(10,t)),10)}function stringNombre(n,t,r=!1,a=!1){return typeof n=="string"&&window.notify("stringNombre appelé avec un string à la place d'un nombre",{nombre:n}),afficherNombre(n,t,"stringNombre",r,a)}function afficherNombre(n,t,r,a=!1,s){function l(g,f,x,w){let Z,Ce;const ne=f+x;g instanceof Decimal?(Decimal.set({toExpNeg:-x-1}),Z=g.isNeg(),g.abs().gte(1),a?Ce=g.toFixed(x).replace(".",","):Ce=g.toDP(x).toString().replace(".",",")):(Z=g<0,Math.abs(g)<1?a?Ce=Intl.NumberFormat("fr-FR",{maximumFractionDigits:x,minimumFractionDigits:x}).format(g):Ce=Intl.NumberFormat("fr-FR",{maximumFractionDigits:x}).format(g):a&&(s&&Number.isInteger(g)||!Number.isInteger(g))?Ce=Intl.NumberFormat("fr-FR",{maximumSignificantDigits:ne,minimumSignificantDigits:ne}).format(g):Ce=Intl.NumberFormat("fr-FR",{maximumSignificantDigits:ne}).format(g));const $e=Ce.indexOf(",");let Ie;$e!==-1?Ie=Ce.substring(0,$e):Ie=Ce;let Dt="";if($e!==-1&&(Dt=Ce.substring($e+1)),g instanceof Decimal){Z&&(Ie=Ie.substring(1));for(let Lr=Ie.length-3;Lr>0;Lr-=3)Ie=Ie.substring(0,Lr)+" "+Ie.substring(Lr);Z&&(Ie="-"+Ie)}for(let Lr=3;Lr<Dt.length;Lr+=w==="texNombre"?5:4)Dt=Dt.substring(0,Lr)+(w==="texNombre"?"\\,":" ")+Dt.substring(Lr);return Dt===""?Ce=Ie:Ce=Ie+","+Dt,Ce}const u=function(g){if(Math.abs(g)>1e-10&&Math.abs(g)<1e11){let f=g.toFixed(18);f.includes(".")&&(f=f.split(".")[1]);const x=+("."+f);let w=1;for(let Z=1;Z<f.length;Z++){const Ce=round(+("."+f.substring(0,Z+1)),Z);if(Math.abs(Ce-x)>1e-10)w++;else return w}return w}else return window.notify(`trouveLaPrecision de ${g} n'est pas possible : il ne peut pas être transformé en écriture décimale. Il faut adapter le code de l'exercice ou verifier que ce nombre n'est pas un bug`),10};if(!(n instanceof Decimal)&&typeof n!="number")if(n instanceof FractionEtendue)n=n.toNumber();else if(typeof n=="string"){const g=n.replaceAll(",",".")??"";n!==""?n=new Decimal(g):window.notify(`TrouveLaPrecision : problème avec ce nombre : ${n}`)}else typeof n!="number"&&(window.notify(`afficherNombre a reçu un argument de type inconnu come nombre : ${n}`,{nombreEntrant:n}),n=Number(n),isNaN(n)&&(window.notify("Et ce paramètre n'est pas convertible en nombre ! il faut donc vérifier l'exercice qui comporte un bug !"),n=0));if(t===void 0&&(n instanceof Decimal?t=n.e<0?n.precision()+-n.e:n.precision(!0):Number.isInteger(n)||Math.round(Math.log10(Number(n)))<-10?t=0:t=u(n)),isNaN(n)&&!(n instanceof Decimal))return window.notify("AfficherNombre : Le nombre n'en est pas un",{nb:n,precision:t,fonction:r}),"";if(n instanceof Decimal){if(n.isZero())return"0"}else if(Number(n)===0)return"0";let _;return n instanceof Decimal?(n.abs().lt(1)?_=0:_=n.abs().toFixed(0).length,n.isInteger()&&!s?t=0:typeof t!="number"?t=15-_:t<0&&(t=0)):(Math.abs(n)<1?_=0:_=Math.floor(Math.abs(n)).toFixed(0).length,Number.isInteger(n)&&!a?t=0:typeof t!="number"?t=15-_:t<0&&(t=0)),_+t>15&&!(n instanceof Decimal)&&window.notify(r+` : ${tropDeChiffres} le nombre passé à la fonction a trop de chiffres significatifs, soit c'est un bug à corriger, soit il faut utiliser un Decimal !`,{nb:n,precision:t}),l(n,_,t,r)}function texPrix(n){if(n instanceof Decimal)return n.isInteger()?texNombre(n,0):texNombre(n,2,!0);const t=Number(n);return t.toString()===t.toFixed(0)?texNombre(n,0):texNombre(n,2,!0)}function decimalToScientifique(n){let t=0,r=new Decimal(n);if(r.abs().gte(10)){for(;t<50&&r.abs().gt(10);)r=r.div(10),t++;return[r.toNumber(),t]}else if(r.abs().lt(1)){for(;t<50&&r.abs().lt(1);)r=r.mul(10),t++;return[r.toNumber(),-1*t]}else return[n,0]}class Grandeur{constructor(t,r){$2(this,"mesureDecimal");$2(this,"unite");$2(this,"puissanceUnite");$2(this,"uniteDeReference");$2(this,"prefixe");$2(this,"puissancePrefixe");this.mesureDecimal=t instanceof Decimal?t:new Decimal(t),this.unite=r;const a=parseUnite(r);this.puissanceUnite=a.puissanceUnite,this.uniteDeReference=a.uniteDeReference,this.prefixe=a.prefixe,this.puissancePrefixe=a.puissancePrefixe}get mesure(){return this.mesureDecimal.toNumber()}set mesure(t){this.mesureDecimal=new Decimal(t)}convertirEn(t){const r=parseUnite(t);if(r.puissanceUnite===this.puissanceUnite&&r.uniteDeReference===this.uniteDeReference)return new Grandeur(this.mesureDecimal.times(10**((this.puissancePrefixe-r.puissancePrefixe)*this.puissanceUnite)),t);if(r.uniteDeReference==="m^3"&&this.uniteDeReference==="L")return new Grandeur(this.mesureDecimal.times(10**(this.puissancePrefixe-r.puissancePrefixe-3)*this.puissanceUnite),"L");if(r.uniteDeReference==="L"&&this.uniteDeReference==="m^3")return new Grandeur(this.mesureDecimal.times(10**(this.puissancePrefixe*this.puissanceUnite+3)),"m^3");if(r.uniteDeReference==="m^2"&&this.uniteDeReference==="a")return new Grandeur(this.mesureDecimal.times(10**(this.puissancePrefixe+2)),"m^2");if(r.uniteDeReference==="a"&&this.uniteDeReference==="m^2")return new Grandeur(this.mesureDecimal.times(10**(this.puissancePrefixe*this.puissanceUnite-2)),"a");throw new Error(`Conversion impossible de ${this.unite} en ${t}`)}estEgal(t){try{const r=this.convertirEn(this.uniteDeReference),a=t.convertirEn(this.uniteDeReference);return r&&a?r.mesure===a.mesure:!1}catch(r){return console.error(r),!1}}estUneApproximation(t,r){try{const a=this.convertirEn(this.uniteDeReference),s=t.convertirEn(this.uniteDeReference);return a!==void 0&&s!==void 0?Math.abs(a.mesure-s.mesure)<=r:!1}catch(a){return console.error(a),!1}}toString(t=12){var a;const r=(a=String(this.mesure).split(".")[1])==null?void 0:a.length;return r<t&&(t=r),`${stringNombre(this.mesure,t).replace(".",",")} ${this.unite}`}toTex(t=12){return`${texNombre(this.mesure,t).replace(".",",")}~\\text{${this.unite}}`}static fromString(t){t=t.replace("\\,",""),t=t.replace("~",""),t=t.replace(",","."),t=t.replace(" ",""),t=t.replace(/\\text{([^}]+)}/g,"$1");const r=parseFloat(t),a=t.replace(String(r),"");return new Grandeur(r,a)}}function parseUnite(n){let t,r;n==="°"&&(t=1,r="°"),n.indexOf("^")>0?(t=Number(n.split("^")[1]),r=n.split("^")[0]):n.indexOf("ha")===0?(t=1,r="ha"):n.indexOf("a")===0?(t=1,r="a"):n.indexOf("ca")===0?(t=1,r="ca"):(t=1,r=n);const a=["t","q"].includes(n)?n:r.substring(0,r.length-1),s=prefixeToPuissance(a,n),l=["t","q"].includes(n)?"g":n.substring(a.length);return{prefixe:a,uniteDeReference:l,puissanceUnite:t,puissancePrefixe:s}}function prefixeToPuissance(n,t){let r;switch(n){case"m":r=-3;break;case"c":r=-2;break;case"d":r=-1;break;case"":r=0;break;case"da":r=1;break;case"h":r=2;break;case"k":r=3;break;case"q":r=t==="q"?5:NaN;break;case"t":r=t==="t"?6:NaN;break;case"M":r=6;break;case"G":r=9;break;case"T":r=12;break;case"\\mu{}":r=-6;break;case"n":r=-9;break;default:r=NaN}return r}class Hms{constructor({hour:t=0,minute:r=0,second:a=0,sign:s=""}={}){$2(this,"hour");$2(this,"minute");$2(this,"second");$2(this,"sign");this.hour=t,this.minute=r,this.second=a,this.sign=s}static fromString(t){const r=new Hms;if(t=t.replaceAll(" ",""),t=t.replaceAll("&nbsp;",""),t=t.replaceAll("{\\:\\text{h}\\:}","h"),t=t.replaceAll("{\\:\\text{min}\\:}","min"),t=t.replaceAll("{\\:\\text{s}\\:}","s"),t.includes("min")&&!t.includes("s")){const a=/(?:(?<sign>[+,-]))?(?:(?<hour>\d+)\s*h\s*)?(?:(?<minute>\d+)\s*min\s*)?(?:(?<second>\d+))?/gm;for(const s of t.matchAll(a))s.groups!==void 0&&Number.isInteger(parseInt(s.groups.hour))&&(r.hour=parseInt(s.groups.hour)),s.groups!==void 0&&Number.isInteger(parseInt(s.groups.minute))&&(r.minute=parseInt(s.groups.minute)),s.groups!==void 0&&Number.isInteger(parseInt(s.groups.second))&&(r.second=parseInt(s.groups.second)),s.groups!==void 0&&(s.groups.sign==="+"||s.groups.sign==="-")&&(r.sign=s.groups.sign)}else if(t.includes("h")&&!t.includes("min")&&!t.includes("s")){const a=/(?:(?<sign>[+,-]))?(?:(?<hour>\d+)\s*h\s*)?(?:(?<minute>\d+))?/gm;for(const s of t.matchAll(a))s.groups!==void 0&&Number.isInteger(parseInt(s.groups.hour))&&(r.hour=parseInt(s.groups.hour)),s.groups!==void 0&&Number.isInteger(parseInt(s.groups.minute))&&(r.minute=parseInt(s.groups.minute)),s.groups!==void 0&&Number.isInteger(parseInt(s.groups.second))&&(r.second=parseInt(s.groups.second)),s.groups!==void 0&&(s.groups.sign==="+"||s.groups.sign==="-")&&(r.sign=s.groups.sign)}else{const a=/(?:(?<sign>[+,-]))?(?:(?<hour>\d+)\s*h\s*)?(?:(?<minute>\d+)\s*min\s*)?(?:(?<second>\d+)\s*s)?/gm;for(const s of t.matchAll(a))s.groups!==void 0&&Number.isInteger(parseInt(s.groups.hour))&&(r.hour=parseInt(s.groups.hour)),s.groups!==void 0&&Number.isInteger(parseInt(s.groups.minute))&&(r.minute=parseInt(s.groups.minute)),s.groups!==void 0&&Number.isInteger(parseInt(s.groups.second))&&(r.second=parseInt(s.groups.second)),s.groups!==void 0&&(s.groups.sign==="+"||s.groups.sign==="-")&&(r.sign=s.groups.sign)}return r}toString(){let t="";return this.hour>0&&(this.hour%24===0?t+="0 h":t+=`${this.hour} h`,(this.minute>0||this.second>0)&&(t+=" ")),this.minute>0&&(t+=this.minute>9?`${this.minute} min`:`0${this.minute} min`,this.second>0&&(t+=" ")),this.second>0&&(t+=`${this.second} s`),t}toString2(){return this.hour>0&&this.second===0?this.toString().replace(" min",""):this.minute>0?this.toString().replace(" s",""):this.toString()}isGreaterThan(t){return 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Ce&&r(8,x=Ce.title)},[a,s,l,u,_,m,g,f,x,Z]}class ModalActionWithDialog extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$1d,create_fragment$1f,safe_not_equal,{message:0,messageError:1,dialogId:2,tooltipMessage:3,buttonSize:4,buttonIcon:5,buttonSecondIcon:6,classForButton:7,title:8})}}async function showDialogForLimitedTime(n,t){const r=document.getElementById(n);r&&(r.showModal(),await sleep(t),r.close())}const sleep=n=>new Promise(t=>setTimeout(t,n));function __awaiter(n,t,r,a){function s(l){return l instanceof r?l:new r(function(u){u(l)})}return new(r||(r=Promise))(function(l,u){function _(f){try{g(a.next(f))}catch(x){u(x)}}function m(f){try{g(a.throw(f))}catch(x){u(x)}}function g(f){f.done?l(f.value):s(f.value).then(_,m)}g((a=a.apply(n,t||[])).next())})}function getBlobFromImageElement(n){return __awaiter(this,void 0,void 0,function*(){return new Promise(function(t,r){const 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      frameborder="0" >
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CODEWORDS_COUNT=[0,26,44,70,100,134,172,196,242,292,346,404,466,532,581,655,733,815,901,991,1085,1156,1258,1364,1474,1588,1706,1828,1921,2051,2185,2323,2465,2611,2761,2876,3034,3196,3362,3532,3706];utils$1.getSymbolSize=function n(t){if(!t)throw new Error('"version" cannot be null or undefined');if(t<1||t>40)throw new Error('"version" should be in range from 1 to 40');return t*4+17};utils$1.getSymbolTotalCodewords=function n(t){return CODEWORDS_COUNT[t]};utils$1.getBCHDigit=function(n){let t=0;for(;n!==0;)t++,n>>>=1;return t};utils$1.setToSJISFunction=function n(t){if(typeof t!="function")throw new Error('"toSJISFunc" is not a valid function.');toSJISFunction=t};utils$1.isKanjiModeEnabled=function(){return typeof toSJISFunction<"u"};utils$1.toSJIS=function n(t){return toSJISFunction(t)};var errorCorrectionLevel={};(function(n){n.L={bit:1},n.M={bit:0},n.Q={bit:3},n.H={bit:2};function t(r){if(typeof r!="string")throw new Error("Param is not a string");switch(r.toLowerCase()){case"l":case"low":return n.L;case"m":case"medium":return n.M;case"q":case"quartile":return n.Q;case"h":case"high":return n.H;default:throw new Error("Unknown EC Level: "+r)}}n.isValid=function(a){return a&&typeof a.bit<"u"&&a.bit>=0&&a.bit<4},n.from=function(a,s){if(n.isValid(a))return a;try{return t(a)}catch{return s}}})(errorCorrectionLevel);function BitBuffer$1(){this.buffer=[],this.length=0}BitBuffer$1.prototype={get:function(n){const t=Math.floor(n/8);return(this.buffer[t]>>>7-n%8&1)===1},put:function(n,t){for(let r=0;r<t;r++)this.putBit((n>>>t-r-1&1)===1)},getLengthInBits:function(){return this.length},putBit:function(n){const t=Math.floor(this.length/8);this.buffer.length<=t&&this.buffer.push(0),n&&(this.buffer[t]|=128>>>this.length%8),this.length++}};var bitBuffer=BitBuffer$1;function BitMatrix$1(n){if(!n||n<1)throw new Error("BitMatrix size must be defined and greater than 0");this.size=n,this.data=new Uint8Array(n*n),this.reservedBit=new Uint8Array(n*n)}BitMatrix$1.prototype.set=function(n,t,r,a){const s=n*this.size+t;this.data[s]=r,a&&(this.reservedBit[s]=!0)};BitMatrix$1.prototype.get=function(n,t){return this.data[n*this.size+t]};BitMatrix$1.prototype.xor=function(n,t,r){this.data[n*this.size+t]^=r};BitMatrix$1.prototype.isReserved=function(n,t){return this.reservedBit[n*this.size+t]};var bitMatrix=BitMatrix$1,alignmentPattern={};(function(n){const t=utils$1.getSymbolSize;n.getRowColCoords=function(a){if(a===1)return[];const s=Math.floor(a/7)+2,l=t(a),u=l===145?26:Math.ceil((l-13)/(2*s-2))*2,_=[l-7];for(let m=1;m<s-1;m++)_[m]=_[m-1]-u;return _.push(6),_.reverse()},n.getPositions=function(a){const s=[],l=n.getRowColCoords(a),u=l.length;for(let _=0;_<u;_++)for(let m=0;m<u;m++)_===0&&m===0||_===0&&m===u-1||_===u-1&&m===0||s.push([l[_],l[m]]);return s}})(alignmentPattern);var finderPattern={};const getSymbolSize=utils$1.getSymbolSize,FINDER_PATTERN_SIZE=7;finderPattern.getPositions=function n(t){const r=getSymbolSize(t);return[[0,0],[r-FINDER_PATTERN_SIZE,0],[0,r-FINDER_PATTERN_SIZE]]};var maskPattern={};(function(n){n.Patterns={PATTERN000:0,PATTERN001:1,PATTERN010:2,PATTERN011:3,PATTERN100:4,PATTERN101:5,PATTERN110:6,PATTERN111:7};const t={N1:3,N2:3,N3:40,N4:10};n.isValid=function(s){return s!=null&&s!==""&&!isNaN(s)&&s>=0&&s<=7},n.from=function(s){return n.isValid(s)?parseInt(s,10):void 0},n.getPenaltyN1=function(s){const l=s.size;let u=0,_=0,m=0,g=null,f=null;for(let x=0;x<l;x++){_=m=0,g=f=null;for(let w=0;w<l;w++){let Z=s.get(x,w);Z===g?_++:(_>=5&&(u+=t.N1+(_-5)),g=Z,_=1),Z=s.get(w,x),Z===f?m++:(m>=5&&(u+=t.N1+(m-5)),f=Z,m=1)}_>=5&&(u+=t.N1+(_-5)),m>=5&&(u+=t.N1+(m-5))}return u},n.getPenaltyN2=function(s){const l=s.size;let u=0;for(let _=0;_<l-1;_++)for(let m=0;m<l-1;m++){const g=s.get(_,m)+s.get(_,m+1)+s.get(_+1,m)+s.get(_+1,m+1);(g===4||g===0)&&u++}return u*t.N2},n.getPenaltyN3=function(s){const l=s.size;let u=0,_=0,m=0;for(let g=0;g<l;g++){_=m=0;for(let f=0;f<l;f++)_=_<<1&2047|s.get(g,f),f>=10&&(_===1488||_===93)&&u++,m=m<<1&2047|s.get(f,g),f>=10&&(m===1488||m===93)&&u++}return u*t.N3},n.getPenaltyN4=function(s){let l=0;const u=s.data.length;for(let m=0;m<u;m++)l+=s.data[m];return Math.abs(Math.ceil(l*100/u/5)-10)*t.N4};function r(a,s,l){switch(a){case n.Patterns.PATTERN000:return(s+l)%2===0;case n.Patterns.PATTERN001:return s%2===0;case n.Patterns.PATTERN010:return l%3===0;case n.Patterns.PATTERN011:return(s+l)%3===0;case n.Patterns.PATTERN100:return(Math.floor(s/2)+Math.floor(l/3))%2===0;case n.Patterns.PATTERN101:return s*l%2+s*l%3===0;case n.Patterns.PATTERN110:return(s*l%2+s*l%3)%2===0;case n.Patterns.PATTERN111:return(s*l%3+(s+l)%2)%2===0;default:throw new Error("bad maskPattern:"+a)}}n.applyMask=function(s,l){const u=l.size;for(let _=0;_<u;_++)for(let m=0;m<u;m++)l.isReserved(m,_)||l.xor(m,_,r(s,m,_))},n.getBestMask=function(s,l){const u=Object.keys(n.Patterns).length;let _=0,m=1/0;for(let g=0;g<u;g++){l(g),n.applyMask(g,s);const f=n.getPenaltyN1(s)+n.getPenaltyN2(s)+n.getPenaltyN3(s)+n.getPenaltyN4(s);n.applyMask(g,s),f<m&&(m=f,_=g)}return _}})(maskPattern);var errorCorrectionCode={};const ECLevel$1=errorCorrectionLevel,EC_BLOCKS_TABLE=[1,1,1,1,1,1,1,1,1,1,2,2,1,2,2,4,1,2,4,4,2,4,4,4,2,4,6,5,2,4,6,6,2,5,8,8,4,5,8,8,4,5,8,11,4,8,10,11,4,9,12,16,4,9,16,16,6,10,12,18,6,10,17,16,6,11,16,19,6,13,18,21,7,14,21,25,8,16,20,25,8,17,23,25,9,17,23,34,9,18,25,30,10,20,27,32,12,21,29,35,12,23,34,37,12,25,34,40,13,26,35,42,14,28,38,45,15,29,40,48,16,31,43,51,17,33,45,54,18,35,48,57,19,37,51,60,19,38,53,63,20,40,56,66,21,43,59,70,22,45,62,74,24,47,65,77,25,49,68,81],EC_CODEWORDS_TABLE=[7,10,13,17,10,16,22,28,15,26,36,44,20,36,52,64,26,48,72,88,36,64,96,112,40,72,108,130,48,88,132,156,60,110,160,192,72,130,192,224,80,150,224,264,96,176,260,308,104,198,288,352,120,216,320,384,132,240,360,432,144,280,408,480,168,308,448,532,180,338,504,588,196,364,546,650,224,416,600,700,224,442,644,750,252,476,690,816,270,504,750,900,300,560,810,960,312,588,870,1050,336,644,952,1110,360,700,1020,1200,390,728,1050,1260,420,784,1140,1350,450,812,1200,1440,480,868,1290,1530,510,924,1350,1620,540,980,1440,1710,570,1036,1530,1800,570,1064,1590,1890,600,1120,1680,1980,630,1204,1770,2100,660,1260,1860,2220,720,1316,1950,2310,750,1372,2040,2430];errorCorrectionCode.getBlocksCount=function n(t,r){switch(r){case ECLevel$1.L:return EC_BLOCKS_TABLE[(t-1)*4+0];case ECLevel$1.M:return EC_BLOCKS_TABLE[(t-1)*4+1];case ECLevel$1.Q:return EC_BLOCKS_TABLE[(t-1)*4+2];case ECLevel$1.H:return EC_BLOCKS_TABLE[(t-1)*4+3];default:return}};errorCorrectionCode.getTotalCodewordsCount=function n(t,r){switch(r){case ECLevel$1.L:return EC_CODEWORDS_TABLE[(t-1)*4+0];case ECLevel$1.M:return EC_CODEWORDS_TABLE[(t-1)*4+1];case ECLevel$1.Q:return EC_CODEWORDS_TABLE[(t-1)*4+2];case ECLevel$1.H:return EC_CODEWORDS_TABLE[(t-1)*4+3];default:return}};var polynomial={},galoisField={};const EXP_TABLE=new Uint8Array(512),LOG_TABLE=new Uint8Array(256);(function n(){let t=1;for(let r=0;r<255;r++)EXP_TABLE[r]=t,LOG_TABLE[t]=r,t<<=1,t&256&&(t^=285);for(let r=255;r<512;r++)EXP_TABLE[r]=EXP_TABLE[r-255]})();galoisField.log=function n(t){if(t<1)throw new Error("log("+t+")");return LOG_TABLE[t]};galoisField.exp=function n(t){return EXP_TABLE[t]};galoisField.mul=function n(t,r){return t===0||r===0?0:EXP_TABLE[LOG_TABLE[t]+LOG_TABLE[r]]};(function(n){const t=galoisField;n.mul=function(a,s){const l=new Uint8Array(a.length+s.length-1);for(let u=0;u<a.length;u++)for(let _=0;_<s.length;_++)l[u+_]^=t.mul(a[u],s[_]);return l},n.mod=function(a,s){let l=new Uint8Array(a);for(;l.length-s.length>=0;){const u=l[0];for(let m=0;m<s.length;m++)l[m]^=t.mul(s[m],u);let _=0;for(;_<l.length&&l[_]===0;)_++;l=l.slice(_)}return l},n.generateECPolynomial=function(a){let s=new Uint8Array([1]);for(let l=0;l<a;l++)s=n.mul(s,new Uint8Array([1,t.exp(l)]));return s}})(polynomial);const Polynomial=polynomial;function ReedSolomonEncoder$1(n){this.genPoly=void 0,this.degree=n,this.degree&&this.initialize(this.degree)}ReedSolomonEncoder$1.prototype.initialize=function n(t){this.degree=t,this.genPoly=Polynomial.generateECPolynomial(this.degree)};ReedSolomonEncoder$1.prototype.encode=function n(t){if(!this.genPoly)throw new Error("Encoder not initialized");const r=new Uint8Array(t.length+this.degree);r.set(t);const a=Polynomial.mod(r,this.genPoly),s=this.degree-a.length;if(s>0){const l=new Uint8Array(this.degree);return l.set(a,s),l}return a};var reedSolomonEncoder=ReedSolomonEncoder$1,version$1={},mode={},versionCheck={};versionCheck.isValid=function n(t){return!isNaN(t)&&t>=1&&t<=40};var regex={};const numeric="[0-9]+",alphanumeric="[A-Z $%*+\\-./:]+";let kanji="(?:[u3000-u303F]|[u3040-u309F]|[u30A0-u30FF]|[uFF00-uFFEF]|[u4E00-u9FAF]|[u2605-u2606]|[u2190-u2195]|u203B|[u2010u2015u2018u2019u2025u2026u201Cu201Du2225u2260]|[u0391-u0451]|[u00A7u00A8u00B1u00B4u00D7u00F7])+";kanji=kanji.replace(/u/g,"\\u");const byte="(?:(?![A-Z0-9 $%*+\\-./:]|"+kanji+`)(?:.|[\r
]))+`;regex.KANJI=new RegExp(kanji,"g");regex.BYTE_KANJI=new RegExp("[^A-Z0-9 $%*+\\-./:]+","g");regex.BYTE=new RegExp(byte,"g");regex.NUMERIC=new RegExp(numeric,"g");regex.ALPHANUMERIC=new RegExp(alphanumeric,"g");const TEST_KANJI=new RegExp("^"+kanji+"$"),TEST_NUMERIC=new RegExp("^"+numeric+"$"),TEST_ALPHANUMERIC=new RegExp("^[A-Z0-9 $%*+\\-./:]+$");regex.testKanji=function n(t){return TEST_KANJI.test(t)};regex.testNumeric=function n(t){return TEST_NUMERIC.test(t)};regex.testAlphanumeric=function n(t){return TEST_ALPHANUMERIC.test(t)};(function(n){const t=versionCheck,r=regex;n.NUMERIC={id:"Numeric",bit:1,ccBits:[10,12,14]},n.ALPHANUMERIC={id:"Alphanumeric",bit:2,ccBits:[9,11,13]},n.BYTE={id:"Byte",bit:4,ccBits:[8,16,16]},n.KANJI={id:"Kanji",bit:8,ccBits:[8,10,12]},n.MIXED={bit:-1},n.getCharCountIndicator=function(l,u){if(!l.ccBits)throw new Error("Invalid mode: "+l);if(!t.isValid(u))throw new Error("Invalid version: "+u);return u>=1&&u<10?l.ccBits[0]:u<27?l.ccBits[1]:l.ccBits[2]},n.getBestModeForData=function(l){return r.testNumeric(l)?n.NUMERIC:r.testAlphanumeric(l)?n.ALPHANUMERIC:r.testKanji(l)?n.KANJI:n.BYTE},n.toString=function(l){if(l&&l.id)return l.id;throw new Error("Invalid mode")},n.isValid=function(l){return l&&l.bit&&l.ccBits};function a(s){if(typeof s!="string")throw new Error("Param is not a string");switch(s.toLowerCase()){case"numeric":return n.NUMERIC;case"alphanumeric":return n.ALPHANUMERIC;case"kanji":return n.KANJI;case"byte":return n.BYTE;default:throw new Error("Unknown mode: "+s)}}n.from=function(l,u){if(n.isValid(l))return l;try{return a(l)}catch{return u}}})(mode);(function(n){const t=utils$1,r=errorCorrectionCode,a=errorCorrectionLevel,s=mode,l=versionCheck,u=7973,_=t.getBCHDigit(u);function m(w,Z,Ce){for(let ne=1;ne<=40;ne++)if(Z<=n.getCapacity(ne,Ce,w))return ne}function g(w,Z){return s.getCharCountIndicator(w,Z)+4}function f(w,Z){let Ce=0;return w.forEach(function(ne){const $e=g(ne.mode,Z);Ce+=$e+ne.getBitsLength()}),Ce}function x(w,Z){for(let Ce=1;Ce<=40;Ce++)if(f(w,Ce)<=n.getCapacity(Ce,Z,s.MIXED))return Ce}n.from=function(Z,Ce){return l.isValid(Z)?parseInt(Z,10):Ce},n.getCapacity=function(Z,Ce,ne){if(!l.isValid(Z))throw new Error("Invalid QR Code version");typeof ne>"u"&&(ne=s.BYTE);const $e=t.getSymbolTotalCodewords(Z),Ie=r.getTotalCodewordsCount(Z,Ce),Dt=($e-Ie)*8;if(ne===s.MIXED)return Dt;const Lr=Dt-g(ne,Z);switch(ne){case s.NUMERIC:return Math.floor(Lr/10*3);case s.ALPHANUMERIC:return Math.floor(Lr/11*2);case s.KANJI:return Math.floor(Lr/13);case s.BYTE:default:return Math.floor(Lr/8)}},n.getBestVersionForData=function(Z,Ce){let ne;const $e=a.from(Ce,a.M);if(Array.isArray(Z)){if(Z.length>1)return x(Z,$e);if(Z.length===0)return 1;ne=Z[0]}else ne=Z;return m(ne.mode,ne.getLength(),$e)},n.getEncodedBits=function(Z){if(!l.isValid(Z)||Z<7)throw new Error("Invalid QR Code version");let Ce=Z<<12;for(;t.getBCHDigit(Ce)-_>=0;)Ce^=u<<t.getBCHDigit(Ce)-_;return Z<<12|Ce}})(version$1);var formatInfo={};const Utils$3=utils$1,G15=1335,G15_MASK=21522,G15_BCH=Utils$3.getBCHDigit(G15);formatInfo.getEncodedBits=function n(t,r){const a=t.bit<<3|r;let s=a<<10;for(;Utils$3.getBCHDigit(s)-G15_BCH>=0;)s^=G15<<Utils$3.getBCHDigit(s)-G15_BCH;return(a<<10|s)^G15_MASK};var segments={};const Mode$4=mode;function NumericData(n){this.mode=Mode$4.NUMERIC,this.data=n.toString()}NumericData.getBitsLength=function n(t){return 10*Math.floor(t/3)+(t%3?t%3*3+1:0)};NumericData.prototype.getLength=function n(){return this.data.length};NumericData.prototype.getBitsLength=function n(){return NumericData.getBitsLength(this.data.length)};NumericData.prototype.write=function n(t){let r,a,s;for(r=0;r+3<=this.data.length;r+=3)a=this.data.substr(r,3),s=parseInt(a,10),t.put(s,10);const l=this.data.length-r;l>0&&(a=this.data.substr(r),s=parseInt(a,10),t.put(s,l*3+1))};var numericData=NumericData;const Mode$3=mode,ALPHA_NUM_CHARS=["0","1","2","3","4","5","6","7","8","9","A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T","U","V","W","X","Y","Z"," ","$","%","*","+","-",".","/",":"];function AlphanumericData(n){this.mode=Mode$3.ALPHANUMERIC,this.data=n}AlphanumericData.getBitsLength=function n(t){return 11*Math.floor(t/2)+6*(t%2)};AlphanumericData.prototype.getLength=function n(){return this.data.length};AlphanumericData.prototype.getBitsLength=function n(){return AlphanumericData.getBitsLength(this.data.length)};AlphanumericData.prototype.write=function n(t){let r;for(r=0;r+2<=this.data.length;r+=2){let a=ALPHA_NUM_CHARS.indexOf(this.data[r])*45;a+=ALPHA_NUM_CHARS.indexOf(this.data[r+1]),t.put(a,11)}this.data.length%2&&t.put(ALPHA_NUM_CHARS.indexOf(this.data[r]),6)};var alphanumericData=AlphanumericData,encodeUtf8$1=function n(t){for(var r=[],a=t.length,s=0;s<a;s++){var l=t.charCodeAt(s);if(l>=55296&&l<=56319&&a>s+1){var u=t.charCodeAt(s+1);u>=56320&&u<=57343&&(l=(l-55296)*1024+u-56320+65536,s+=1)}if(l<128){r.push(l);continue}if(l<2048){r.push(l>>6|192),r.push(l&63|128);continue}if(l<55296||l>=57344&&l<65536){r.push(l>>12|224),r.push(l>>6&63|128),r.push(l&63|128);continue}if(l>=65536&&l<=1114111){r.push(l>>18|240),r.push(l>>12&63|128),r.push(l>>6&63|128),r.push(l&63|128);continue}r.push(239,191,189)}return new Uint8Array(r).buffer};const encodeUtf8=encodeUtf8$1,Mode$2=mode;function ByteData(n){this.mode=Mode$2.BYTE,typeof n=="string"&&(n=encodeUtf8(n)),this.data=new Uint8Array(n)}ByteData.getBitsLength=function n(t){return t*8};ByteData.prototype.getLength=function n(){return this.data.length};ByteData.prototype.getBitsLength=function n(){return ByteData.getBitsLength(this.data.length)};ByteData.prototype.write=function(n){for(let t=0,r=this.data.length;t<r;t++)n.put(this.data[t],8)};var byteData=ByteData;const Mode$1=mode,Utils$2=utils$1;function KanjiData(n){this.mode=Mode$1.KANJI,this.data=n}KanjiData.getBitsLength=function n(t){return t*13};KanjiData.prototype.getLength=function n(){return this.data.length};KanjiData.prototype.getBitsLength=function n(){return KanjiData.getBitsLength(this.data.length)};KanjiData.prototype.write=function(n){let t;for(t=0;t<this.data.length;t++){let r=Utils$2.toSJIS(this.data[t]);if(r>=33088&&r<=40956)r-=33088;else if(r>=57408&&r<=60351)r-=49472;else throw new Error("Invalid SJIS character: "+this.data[t]+`
Make sure your charset is UTF-8`);r=(r>>>8&255)*192+(r&255),n.put(r,13)}};var kanjiData=KanjiData,dijkstra={exports:{}};(function(n){var t={single_source_shortest_paths:function(r,a,s){var l={},u={};u[a]=0;var _=t.PriorityQueue.make();_.push(a,0);for(var m,g,f,x,w,Z,Ce,ne,$e;!_.empty();){m=_.pop(),g=m.value,x=m.cost,w=r[g]||{};for(f in w)w.hasOwnProperty(f)&&(Z=w[f],Ce=x+Z,ne=u[f],$e=typeof u[f]>"u",($e||ne>Ce)&&(u[f]=Ce,_.push(f,Ce),l[f]=g))}if(typeof s<"u"&&typeof u[s]>"u"){var Ie=["Could not find a path from ",a," to ",s,"."].join("");throw new Error(Ie)}return l},extract_shortest_path_from_predecessor_list:function(r,a){for(var s=[],l=a;l;)s.push(l),r[l],l=r[l];return s.reverse(),s},find_path:function(r,a,s){var l=t.single_source_shortest_paths(r,a,s);return t.extract_shortest_path_from_predecessor_list(l,s)},PriorityQueue:{make:function(r){var a=t.PriorityQueue,s={},l;r=r||{};for(l in a)a.hasOwnProperty(l)&&(s[l]=a[l]);return s.queue=[],s.sorter=r.sorter||a.default_sorter,s},default_sorter:function(r,a){return r.cost-a.cost},push:function(r,a){var s={value:r,cost:a};this.queue.push(s),this.queue.sort(this.sorter)},pop:function(){return this.queue.shift()},empty:function(){return this.queue.length===0}}};n.exports=t})(dijkstra);var dijkstraExports=dijkstra.exports;(function(n){const t=mode,r=numericData,a=alphanumericData,s=byteData,l=kanjiData,u=regex,_=utils$1,m=dijkstraExports;function g(Ie){return unescape(encodeURIComponent(Ie)).length}function f(Ie,Dt,Lr){const ec=[];let ys;for(;(ys=Ie.exec(Lr))!==null;)ec.push({data:ys[0],index:ys.index,mode:Dt,length:ys[0].length});return ec}function x(Ie){const Dt=f(u.NUMERIC,t.NUMERIC,Ie),Lr=f(u.ALPHANUMERIC,t.ALPHANUMERIC,Ie);let ec,ys;return _.isKanjiModeEnabled()?(ec=f(u.BYTE,t.BYTE,Ie),ys=f(u.KANJI,t.KANJI,Ie)):(ec=f(u.BYTE_KANJI,t.BYTE,Ie),ys=[]),Dt.concat(Lr,ec,ys).sort(function(nc,ac){return nc.index-ac.index}).map(function(nc){return{data:nc.data,mode:nc.mode,length:nc.length}})}function w(Ie,Dt){switch(Dt){case t.NUMERIC:return r.getBitsLength(Ie);case t.ALPHANUMERIC:return a.getBitsLength(Ie);case t.KANJI:return l.getBitsLength(Ie);case t.BYTE:return s.getBitsLength(Ie)}}function Z(Ie){return Ie.reduce(function(Dt,Lr){const ec=Dt.length-1>=0?Dt[Dt.length-1]:null;return ec&&ec.mode===Lr.mode?(Dt[Dt.length-1].data+=Lr.data,Dt):(Dt.push(Lr),Dt)},[])}function Ce(Ie){const Dt=[];for(let Lr=0;Lr<Ie.length;Lr++){const ec=Ie[Lr];switch(ec.mode){case t.NUMERIC:Dt.push([ec,{data:ec.data,mode:t.ALPHANUMERIC,length:ec.length},{data:ec.data,mode:t.BYTE,length:ec.length}]);break;case t.ALPHANUMERIC:Dt.push([ec,{data:ec.data,mode:t.BYTE,length:ec.length}]);break;case t.KANJI:Dt.push([ec,{data:ec.data,mode:t.BYTE,length:g(ec.data)}]);break;case t.BYTE:Dt.push([{data:ec.data,mode:t.BYTE,length:g(ec.data)}])}}return Dt}function ne(Ie,Dt){const Lr={},ec={start:{}};let ys=["start"];for(let tc=0;tc<Ie.length;tc++){const nc=Ie[tc],ac=[];for(let sc=0;sc<nc.length;sc++){const cc=nc[sc],uc=""+tc+sc;ac.push(uc),Lr[uc]={node:cc,lastCount:0},ec[uc]={};for(let lc=0;lc<ys.length;lc++){const e0=ys[lc];Lr[e0]&&Lr[e0].node.mode===cc.mode?(ec[e0][uc]=w(Lr[e0].lastCount+cc.length,cc.mode)-w(Lr[e0].lastCount,cc.mode),Lr[e0].lastCount+=cc.length):(Lr[e0]&&(Lr[e0].lastCount=cc.length),ec[e0][uc]=w(cc.length,cc.mode)+4+t.getCharCountIndicator(cc.mode,Dt))}}ys=ac}for(let tc=0;tc<ys.length;tc++)ec[ys[tc]].end=0;return{map:ec,table:Lr}}function $e(Ie,Dt){let Lr;const ec=t.getBestModeForData(Ie);if(Lr=t.from(Dt,ec),Lr!==t.BYTE&&Lr.bit<ec.bit)throw new Error('"'+Ie+'" cannot be encoded with mode '+t.toString(Lr)+`.
 Suggested mode is: `+t.toString(ec));switch(Lr===t.KANJI&&!_.isKanjiModeEnabled()&&(Lr=t.BYTE),Lr){case t.NUMERIC:return new r(Ie);case t.ALPHANUMERIC:return new a(Ie);case t.KANJI:return new l(Ie);case t.BYTE:return new s(Ie)}}n.fromArray=function(Dt){return Dt.reduce(function(Lr,ec){return typeof ec=="string"?Lr.push($e(ec,null)):ec.data&&Lr.push($e(ec.data,ec.mode)),Lr},[])},n.fromString=function(Dt,Lr){const ec=x(Dt,_.isKanjiModeEnabled()),ys=Ce(ec),tc=ne(ys,Lr),nc=m.find_path(tc.map,"start","end"),ac=[];for(let sc=1;sc<nc.length-1;sc++)ac.push(tc.table[nc[sc]].node);return n.fromArray(Z(ac))},n.rawSplit=function(Dt){return n.fromArray(x(Dt,_.isKanjiModeEnabled()))}})(segments);const Utils$1=utils$1,ECLevel=errorCorrectionLevel,BitBuffer=bitBuffer,BitMatrix=bitMatrix,AlignmentPattern=alignmentPattern,FinderPattern=finderPattern,MaskPattern=maskPattern,ECCode=errorCorrectionCode,ReedSolomonEncoder=reedSolomonEncoder,Version=version$1,FormatInfo=formatInfo,Mode=mode,Segments=segments;function setupFinderPattern(n,t){const r=n.size,a=FinderPattern.getPositions(t);for(let s=0;s<a.length;s++){const l=a[s][0],u=a[s][1];for(let _=-1;_<=7;_++)if(!(l+_<=-1||r<=l+_))for(let m=-1;m<=7;m++)u+m<=-1||r<=u+m||(_>=0&&_<=6&&(m===0||m===6)||m>=0&&m<=6&&(_===0||_===6)||_>=2&&_<=4&&m>=2&&m<=4?n.set(l+_,u+m,!0,!0):n.set(l+_,u+m,!1,!0))}}function setupTimingPattern(n){const t=n.size;for(let r=8;r<t-8;r++){const a=r%2===0;n.set(r,6,a,!0),n.set(6,r,a,!0)}}function setupAlignmentPattern(n,t){const r=AlignmentPattern.getPositions(t);for(let a=0;a<r.length;a++){const s=r[a][0],l=r[a][1];for(let u=-2;u<=2;u++)for(let _=-2;_<=2;_++)u===-2||u===2||_===-2||_===2||u===0&&_===0?n.set(s+u,l+_,!0,!0):n.set(s+u,l+_,!1,!0)}}function setupVersionInfo(n,t){const r=n.size,a=Version.getEncodedBits(t);let s,l,u;for(let _=0;_<18;_++)s=Math.floor(_/3),l=_%3+r-8-3,u=(a>>_&1)===1,n.set(s,l,u,!0),n.set(l,s,u,!0)}function setupFormatInfo(n,t,r){const a=n.size,s=FormatInfo.getEncodedBits(t,r);let l,u;for(l=0;l<15;l++)u=(s>>l&1)===1,l<6?n.set(l,8,u,!0):l<8?n.set(l+1,8,u,!0):n.set(a-15+l,8,u,!0),l<8?n.set(8,a-l-1,u,!0):l<9?n.set(8,15-l-1+1,u,!0):n.set(8,15-l-1,u,!0);n.set(a-8,8,1,!0)}function setupData(n,t){const r=n.size;let a=-1,s=r-1,l=7,u=0;for(let _=r-1;_>0;_-=2)for(_===6&&_--;;){for(let m=0;m<2;m++)if(!n.isReserved(s,_-m)){let g=!1;u<t.length&&(g=(t[u]>>>l&1)===1),n.set(s,_-m,g),l--,l===-1&&(u++,l=7)}if(s+=a,s<0||r<=s){s-=a,a=-a;break}}}function createData(n,t,r){const a=new BitBuffer;r.forEach(function(m){a.put(m.mode.bit,4),a.put(m.getLength(),Mode.getCharCountIndicator(m.mode,n)),m.write(a)});const s=Utils$1.getSymbolTotalCodewords(n),l=ECCode.getTotalCodewordsCount(n,t),u=(s-l)*8;for(a.getLengthInBits()+4<=u&&a.put(0,4);a.getLengthInBits()%8!==0;)a.putBit(0);const _=(u-a.getLengthInBits())/8;for(let m=0;m<_;m++)a.put(m%2?17:236,8);return createCodewords(a,n,t)}function createCodewords(n,t,r){const a=Utils$1.getSymbolTotalCodewords(t),s=ECCode.getTotalCodewordsCount(t,r),l=a-s,u=ECCode.getBlocksCount(t,r),_=a%u,m=u-_,g=Math.floor(a/u),f=Math.floor(l/u),x=f+1,w=g-f,Z=new ReedSolomonEncoder(w);let Ce=0;const ne=new Array(u),$e=new Array(u);let Ie=0;const Dt=new Uint8Array(n.buffer);for(let nc=0;nc<u;nc++){const ac=nc<m?f:x;ne[nc]=Dt.slice(Ce,Ce+ac),$e[nc]=Z.encode(ne[nc]),Ce+=ac,Ie=Math.max(Ie,ac)}const Lr=new Uint8Array(a);let ec=0,ys,tc;for(ys=0;ys<Ie;ys++)for(tc=0;tc<u;tc++)ys<ne[tc].length&&(Lr[ec++]=ne[tc][ys]);for(ys=0;ys<w;ys++)for(tc=0;tc<u;tc++)Lr[ec++]=$e[tc][ys];return Lr}function createSymbol(n,t,r,a){let s;if(Array.isArray(n))s=Segments.fromArray(n);else if(typeof n=="string"){let g=t;if(!g){const f=Segments.rawSplit(n);g=Version.getBestVersionForData(f,r)}s=Segments.fromString(n,g||40)}else throw new Error("Invalid data");const l=Version.getBestVersionForData(s,r);if(!l)throw new Error("The amount of data is too big to be stored in a QR Code");if(!t)t=l;else if(t<l)throw new Error(`
The chosen QR Code version cannot contain this amount of data.
Minimum version required to store current data is: `+l+`.
`);const u=createData(t,r,s),_=Utils$1.getSymbolSize(t),m=new BitMatrix(_);return setupFinderPattern(m,t),setupTimingPattern(m),setupAlignmentPattern(m,t),setupFormatInfo(m,r,0),t>=7&&setupVersionInfo(m,t),setupData(m,u),isNaN(a)&&(a=MaskPattern.getBestMask(m,setupFormatInfo.bind(null,m,r))),MaskPattern.applyMask(a,m),setupFormatInfo(m,r,a),{modules:m,version:t,errorCorrectionLevel:r,maskPattern:a,segments:s}}qrcode.create=function n(t,r){if(typeof t>"u"||t==="")throw new Error("No input text");let a=ECLevel.M,s,l;return typeof r<"u"&&(a=ECLevel.from(r.errorCorrectionLevel,ECLevel.M),s=Version.from(r.version),l=MaskPattern.from(r.maskPattern),r.toSJISFunc&&Utils$1.setToSJISFunction(r.toSJISFunc)),createSymbol(t,s,a,l)};var canvas={},utils={};(function(n){function t(r){if(typeof r=="number"&&(r=r.toString()),typeof r!="string")throw new Error("Color should be defined as hex string");let a=r.slice().replace("#","").split("");if(a.length<3||a.length===5||a.length>8)throw new Error("Invalid hex color: "+r);(a.length===3||a.length===4)&&(a=Array.prototype.concat.apply([],a.map(function(l){return[l,l]}))),a.length===6&&a.push("F","F");const s=parseInt(a.join(""),16);return{r:s>>24&255,g:s>>16&255,b:s>>8&255,a:s&255,hex:"#"+a.slice(0,6).join("")}}n.getOptions=function(a){a||(a={}),a.color||(a.color={});const s=typeof a.margin>"u"||a.margin===null||a.margin<0?4:a.margin,l=a.width&&a.width>=21?a.width:void 0,u=a.scale||4;return{width:l,scale:l?4:u,margin:s,color:{dark:t(a.color.dark||"#000000ff"),light:t(a.color.light||"#ffffffff")},type:a.type,rendererOpts:a.rendererOpts||{}}},n.getScale=function(a,s){return s.width&&s.width>=a+s.margin*2?s.width/(a+s.margin*2):s.scale},n.getImageWidth=function(a,s){const l=n.getScale(a,s);return Math.floor((a+s.margin*2)*l)},n.qrToImageData=function(a,s,l){const u=s.modules.size,_=s.modules.data,m=n.getScale(u,l),g=Math.floor((u+l.margin*2)*m),f=l.margin*m,x=[l.color.light,l.color.dark];for(let w=0;w<g;w++)for(let Z=0;Z<g;Z++){let Ce=(w*g+Z)*4,ne=l.color.light;if(w>=f&&Z>=f&&w<g-f&&Z<g-f){const $e=Math.floor((w-f)/m),Ie=Math.floor((Z-f)/m);ne=x[_[$e*u+Ie]?1:0]}a[Ce++]=ne.r,a[Ce++]=ne.g,a[Ce++]=ne.b,a[Ce]=ne.a}}})(utils);(function(n){const t=utils;function r(s,l,u){s.clearRect(0,0,l.width,l.height),l.style||(l.style={}),l.height=u,l.width=u,l.style.height=u+"px",l.style.width=u+"px"}function a(){try{return document.createElement("canvas")}catch{throw new Error("You need to specify a canvas element")}}n.render=function(l,u,_){let m=_,g=u;typeof m>"u"&&(!u||!u.getContext)&&(m=u,u=void 0),u||(g=a()),m=t.getOptions(m);const f=t.getImageWidth(l.modules.size,m),x=g.getContext("2d"),w=x.createImageData(f,f);return t.qrToImageData(w.data,l,m),r(x,g,f),x.putImageData(w,0,0),g},n.renderToDataURL=function(l,u,_){let m=_;typeof m>"u"&&(!u||!u.getContext)&&(m=u,u=void 0),m||(m={});const g=n.render(l,u,m),f=m.type||"image/png",x=m.rendererOpts||{};return g.toDataURL(f,x.quality)}})(canvas);var svgTag={};const Utils=utils;function getColorAttrib(n,t){const r=n.a/255,a=t+'="'+n.hex+'"';return r<1?a+" "+t+'-opacity="'+r.toFixed(2).slice(1)+'"':a}function svgCmd(n,t,r){let a=n+t;return typeof r<"u"&&(a+=" "+r),a}function qrToPath(n,t,r){let a="",s=0,l=!1,u=0;for(let _=0;_<n.length;_++){const m=Math.floor(_%t),g=Math.floor(_/t);!m&&!l&&(l=!0),n[_]?(u++,_>0&&m>0&&n[_-1]||(a+=l?svgCmd("M",m+r,.5+g+r):svgCmd("m",s,0),s=0,l=!1),m+1<t&&n[_+1]||(a+=svgCmd("h",u),u=0)):s++}return a}svgTag.render=function n(t,r,a){const s=Utils.getOptions(r),l=t.modules.size,u=t.modules.data,_=l+s.margin*2,m=s.color.light.a?"<path "+getColorAttrib(s.color.light,"fill")+' d="M0 0h'+_+"v"+_+'H0z"/>':"",g="<path "+getColorAttrib(s.color.dark,"stroke")+' d="'+qrToPath(u,l,s.margin)+'"/>',f='viewBox="0 0 '+_+" "+_+'"',w='<svg xmlns="http://www.w3.org/2000/svg" '+(s.width?'width="'+s.width+'" height="'+s.width+'" ':"")+f+' shape-rendering="crispEdges">'+m+g+`</svg>
`;return typeof a=="function"&&a(null,w),w};const canPromise=canPromise$1,QRCode=qrcode,CanvasRenderer=canvas,SvgRenderer=svgTag;function renderCanvas(n,t,r,a,s){const l=[].slice.call(arguments,1),u=l.length,_=typeof l[u-1]=="function";if(!_&&!canPromise())throw new Error("Callback required as last argument");if(_){if(u<2)throw new Error("Too few arguments provided");u===2?(s=r,r=t,t=a=void 0):u===3&&(t.getContext&&typeof s>"u"?(s=a,a=void 0):(s=a,a=r,r=t,t=void 0))}else{if(u<1)throw new Error("Too few arguments provided");return u===1?(r=t,t=a=void 0):u===2&&!t.getContext&&(a=r,r=t,t=void 0),new Promise(function(m,g){try{const f=QRCode.create(r,a);m(n(f,t,a))}catch(f){g(f)}})}try{const m=QRCode.create(r,a);s(null,n(m,t,a))}catch(m){s(m)}}browser.create=QRCode.create;browser.toCanvas=renderCanvas.bind(null,CanvasRenderer.render);browser.toDataURL=renderCanvas.bind(null,CanvasRenderer.renderToDataURL);browser.toString=renderCanvas.bind(null,function(n,t,r){return SvgRenderer.render(n,r)});const allowedImageFormats=[{name:"jpeg",format:"image/jpeg"},{name:"png",format:"image/png"},{name:"webp",format:"image/webp"}];async function urlToQRCodeOnWithinImgTag(n,t,r=0,a="",s=!1,l=!1){let u;if(s)try{u=await getShortenedCurrentUrl(a)}catch(m){throw console.log("Impossible de créer le QR-Code avec lien raccourci"),m}else u=l?encrypt(document.URL+a)+"":document.URL+a;const _={errorCorrectionLevel:"H",type:allowedImageFormats[r].format,quality:.9,margin:1,scale:2,width:t,color:{dark:"#000",light:"#fff"}};browser.toDataURL(u,_,(m,g)=>{if(m)throw m;const f=document.getElementById(n);if(f)f.setAttribute("src",g);else throw new Error(`Can't find image with this ID: ${n} in document...`)})}function downloadQRCodeImage(n,t=0){const r=new Date,a=r.getFullYear(),s=("0"+(r.getMonth()+1)).slice(-2),l=("0"+r.getDate()).slice(-2),u=`${a}${s}${l}`,_=document.getElementById(n);if(_){const m=_.getAttribute("src");if(m)fetch(m).then(g=>g.blob()).then(g=>{const f=window.URL.createObjectURL(g),x=document.createElement("a");x.style.display="none",x.href=f,x.download="qrcode_diapo_coopmaths_"+u+"."+allowedImageFormats[t].name,document.body.appendChild(x),x.click(),window.URL.revokeObjectURL(f)}).catch(()=>"Erreur avec le téléchargement de l'image du QR-Code");else throw new Error(`Image with ID: ${n} has no attribute "src"`)}else throw new Error(`Can't find image with this ID: ${n} in document...`)}function get_each_context$n(n,t,r){const a=n.slice();return a[11]=t[r],a[13]=r,a}function create_each_block$n(n){let t,r,a,s,l=!1,u,_,m,g=n[11].label+"",f,x,w,Z,Ce,ne;return Z=init_binding_group(n[9][0]),{c(){t=element("div"),r=element("input"),_=space(),m=element("label"),f=text$2(g),w=space(),attr(r,"class",a="form-check-input rounded-full h-4 w-4 border border-coopmaths-action "+n[4]+" dark:border-coopmathsdark-action dark:bg-coopmathsdark-canvas-dark text-coopmaths-action checked:bg-coopmaths-action checked:border-coopmaths-action active:border-coopmaths-action focus:border-coopmaths-action dark:text-coopmathsdark-action dark:checked:bg-coopmathsdark-action dark:checked:border-coopmathsdark-action dark:active:border-coopmathsdark-action dark:focus:border-coopmathsdark-action focus:outline-0 focus:ring-0 focus:border-1 transition duration-200 mt-1 mr-2 "+(n[2]||n[11].isDisabled?"border-opacity-10 dark:border-opacity-10":"cursor-pointer")),attr(r,"type","radio"),attr(r,"name",n[5]),attr(r,"id",n[5]+n[13].toString()),r.__value=s=n[11].value,set_input_value(r,r.__value),r.disabled=u=n[2]||n[11].isDisabled,attr(m,"class",x="form-check-label inline-block text-coopmaths-corpus dark:text-coopmathsdark-corpus text-sm "+(n[0]===n[11].value?"font-semibold":"font-light")+" "+(n[2]||n[11].isDisabled?"text-opacity-10 dark:text-opacity-10":"text-opacity-70 dark:text-opacity-70")),attr(m,"for",n[5]+n[13].toString()),attr(t,"class","form-check flex flex-row ml-4 items-center"),Z.p(r)},m($e,Ie){insert($e,t,Ie),append$1(t,r),r.checked=r.__value===n[0],append$1(t,_),append$1(t,m),append$1(m,f),append$1(t,w),Ce||(ne=[listen(r,"change",n[8]),listen(r,"change",n[6])],Ce=!0)},p($e,Ie){Ie&22&&a!==(a="form-check-input rounded-full h-4 w-4 border border-coopmaths-action "+$e[4]+" dark:border-coopmathsdark-action dark:bg-coopmathsdark-canvas-dark text-coopmaths-action checked:bg-coopmaths-action checked:border-coopmaths-action active:border-coopmaths-action focus:border-coopmaths-action dark:text-coopmathsdark-action dark:checked:bg-coopmathsdark-action dark:checked:border-coopmathsdark-action dark:active:border-coopmathsdark-action dark:focus:border-coopmathsdark-action focus:outline-0 focus:ring-0 focus:border-1 transition duration-200 mt-1 mr-2 "+($e[2]||$e[11].isDisabled?"border-opacity-10 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_=0;_<s.length;_+=1)s[_]&&s[_].m(t,null)},p(l,[u]){if(u&119){a=ensure_array_like(l[1]);let _;for(_=0;_<a.length;_+=1){const m=get_each_context$n(l,a,_);s[_]?s[_].p(m,u):(s[_]=create_each_block$n(m),s[_].c(),s[_].m(t,null))}for(;_<s.length;_+=1)s[_].d(1);s.length=a.length}u&8&&r!==(r="flex flex-"+l[3]+" justify-start items-start")&&attr(t,"class",r)},i:noop,o:noop,d(l){l&&detach(t),destroy_each(s,l)}}}function instance$1c(n,t,r){let{title:a}=t,{valueSelected:s}=t,{labelsValues:l=[]}=t,{isDisabled:u=!1}=t,{orientation:_="col"}=t,{bgColor:m="bg-coopmaths-canvas"}=t;const g=a!==void 0?a.replaceAll(" ","").normalize("NFD").replace(/[\u0300-\u036f]/g,""):Math.round(Math.random()*1e3).toString(),f=createEventDispatcher();function x(){f("newvalue")}const w=[[]];function Z(){s=this.__value,r(0,s)}return n.$$set=Ce=>{"title"in Ce&&r(7,a=Ce.title),"valueSelected"in Ce&&r(0,s=Ce.valueSelected),"labelsValues"in Ce&&r(1,l=Ce.labelsValues),"isDisabled"in Ce&&r(2,u=Ce.isDisabled),"orientation"in Ce&&r(3,_=Ce.orientation),"bgColor"in Ce&&r(4,m=Ce.bgColor)},[s,l,u,_,m,g,x,a,Z,w]}class FormRadio extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$1c,create_fragment$1e,safe_not_equal,{title:7,valueSelected:0,labelsValues:1,isDisabled:2,orientation:3,bgColor:4})}}function create_if_block$t(n){let t,r;return{c(){t=element("i"),attr(t,"class",r="absolute -bottom-1 bg-coopmaths-canvas dark:bg-coopmathsdark-canvas rounded-full bx "+n[7]+" text-sm -translate-x-3 text-coopmaths-warn dark:text-coopmathsdark-warn")},m(a,s){insert(a,t,s)},p(a,s){s&128&&r!==(r="absolute -bottom-1 bg-coopmaths-canvas dark:bg-coopmathsdark-canvas rounded-full bx "+a[7]+" text-sm -translate-x-3 text-coopmaths-warn dark:text-coopmathsdark-warn")&&attr(t,"class",r)},d(a){a&&detach(t)}}}function create_fragment$1d(n){let t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc,e0,dc,kc,Jc,n0,d0,t0,h0,_0,c0,f0,q0,D0,$0,k0,R0,C0,I0,Y0,K0,W0,r0,b0,A0,v0=n[7].length!==0&&create_if_block$t(n);function i0(E0){n[15](E0)}let S0={orientation:"row",title:"Format image",labelsValues:n[12]};return n[1]!==void 0&&(S0.valueSelected=n[1]),Jc=new FormRadio({props:S0}),binding_callbacks.push(()=>bind(Jc,"valueSelected",i0)),{c(){t=element("label"),r=element("div"),a=element("i"),l=space(),v0&&v0.c(),_=space(),m=element("input"),g=space(),f=element("div"),x=element("div"),w=element("dialog"),Z=text$2("Le QR-Code est copié dans le presse-papier !"),ne=space(),$e=element("dialog"),Ie=text$2("Impossible de copier le QR-Code dans ce navigateur !"),Dt=element("br"),Lr=text$2(" Vérifier les permissions."),ys=space(),tc=element("label"),nc=element("i"),ac=space(),sc=element("h3"),sc.textContent="QR-Code du Diaporama",cc=space(),uc=element("p"),uc.textContent="Choisissez de copier l'image ou de la 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bx "+E0[5]+" text-coopmaths-action hover:text-coopmaths-action-lightest dark:text-coopmathsdark-action dark:hover:text-coopmathsdark-action-lightest self-center "+E0[6]))&&attr(a,"class",s),E0[7].length!==0?v0?v0.p(E0,L0):(v0=create_if_block$t(E0),v0.c(),v0.m(r,null)):v0&&(v0.d(1),v0=null),(!r0||L0&16)&&attr(r,"data-tip",E0[4]),(!r0||L0&8)&&attr(t,"for",E0[3]),(!r0||L0&256&&u!==(u=E0[8]+" hover:cursor-pointer"))&&attr(t,"class",u),(!r0||L0&8)&&attr(m,"id",E0[3]),(!r0||L0&8&&Ce!==(Ce=E0[3]+"-1"))&&attr(w,"id",Ce),(!r0||L0&8&&ec!==(ec=E0[3]+"-2"))&&attr($e,"id",ec),(!r0||L0&8)&&attr(tc,"for",E0[3]);const O0={};!n0&&L0&2&&(n0=!0,O0.valueSelected=E0[1],add_flush_callback(()=>n0=!1)),Jc.$set(O0),L0&1&&to_number(c0.value)!==E0[0]&&set_input_value(c0,E0[0]),(!r0||L0&4)&&attr($0,"id",E0[2])},i(E0){r0||(transition_in(Jc.$$.fragment,E0),r0=!0)},o(E0){transition_out(Jc.$$.fragment,E0),r0=!1},d(E0){E0&&(detach(t),detach(_),detach(m),detach(g),detach(f)),v0&&v0.d(),destroy_component(Jc),b0=!1,run_all(A0)}}}function instance$1b(n,t,r){let{imageId:a="QRImage"}=t,{dialogId:s="dialogQR"}=t,{width:l=100}=t,{format:u}=t,{tooltipMessage:_="My tooltip"}=t,{buttonSize:m="text-2xl"}=t,{buttonIcon:g="bx-qr"}=t,{buttonSecondIcon:f=""}=t,{classForButton:x=""}=t,{urlAddendum:w=""}=t,{isShort:Z=!1}=t,{isEncrypted:Ce=!1}=t;const ne=[];allowedImageFormats.forEach((nc,ac)=>{ne.push({label:nc.name,value:ac})});const $e=()=>urlToQRCodeOnWithinImgTag(a,l,u,w,Z,Ce),Ie=()=>urlToQRCodeOnWithinImgTag(a,l,u,w,Z,Ce);function Dt(nc){u=nc,r(1,u)}function Lr(){l=to_number(this.value),r(0,l)}const ec=()=>urlToQRCodeOnWithinImgTag(a,l,u,w,Z,Ce),ys=()=>copyQRCodeImageToClipboard(a,s),tc=()=>downloadQRCodeImage(a,u);return n.$$set=nc=>{"imageId"in nc&&r(2,a=nc.imageId),"dialogId"in nc&&r(3,s=nc.dialogId),"width"in nc&&r(0,l=nc.width),"format"in nc&&r(1,u=nc.format),"tooltipMessage"in nc&&r(4,_=nc.tooltipMessage),"buttonSize"in nc&&r(5,m=nc.buttonSize),"buttonIcon"in nc&&r(6,g=nc.buttonIcon),"buttonSecondIcon"in nc&&r(7,f=nc.buttonSecondIcon),"classForButton"in nc&&r(8,x=nc.classForButton),"urlAddendum"in nc&&r(9,w=nc.urlAddendum),"isShort"in nc&&r(10,Z=nc.isShort),"isEncrypted"in nc&&r(11,Ce=nc.isEncrypted)},[l,u,a,s,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc]}class ModalForQRCode extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$1b,create_fragment$1d,safe_not_equal,{imageId:2,dialogId:3,width:0,format:1,tooltipMessage:4,buttonSize:5,buttonIcon:6,buttonSecondIcon:7,classForButton:8,urlAddendum:9,isShort:10,isEncrypted:11})}}function create_fragment$1c(n){let t,r,a,s,l,u,_,m=`${n[0]?n[1][0]:n[1][1]}`,g,f,x,w;return{c(){t=element("div"),r=element("button"),a=element("i"),u=space(),_=element("div"),attr(a,"class",s="text-coopmaths-action hover:text-coopmaths-action-lightest dark:text-coopmathsdark-action dark:hover:text-coopmathsdark-action-lightest bx bx-"+n[5]+" translate-y-[0.15rem] "+(n[0]?"bx-toggle-right":"bx-toggle-left")+" "+(n[2]?"text-opacity-10":"")),attr(a,"aria-describedby",l=n[0]?n[1][0]:n[1][1]),attr(r,"type","button"),attr(r,"id",n[6]),attr(r,"class","flex justify-center items-center"),r.disabled=n[2],attr(_,"class",g=(n[4]==="xs"?"pl-1":"pl-2")+" inline-block text-"+n[4]+" font-light text-coopmaths-corpus dark:text-coopmathsdark-corpus "+(n[2]?"text-opacity-10":"text-opacity-70")),attr(t,"class",f="flex flex-row justify-start items-center "+n[3])},m(Z,Ce){insert(Z,t,Ce),append$1(t,r),append$1(r,a),append$1(t,u),append$1(t,_),_.innerHTML=m,x||(w=listen(r,"click",n[7]),x=!0)},p(Z,[Ce]){Ce&37&&s!==(s="text-coopmaths-action 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x(){r(0,s=!s),f("toggle")}return n.$$set=w=>{"titles"in w&&r(1,a=w.titles),"value"in w&&r(0,s=w.value),"isDisabled"in w&&r(2,l=w.isDisabled),"classAddenda"in w&&r(3,u=w.classAddenda),"textSize"in w&&r(4,_=w.textSize),"buttonSize"in w&&r(5,m=w.buttonSize),"id"in w&&r(6,g=w.id)},[s,a,l,u,_,m,g,x]}class ButtonToggle extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$1a,create_fragment$1c,safe_not_equal,{titles:1,value:0,isDisabled:2,classAddenda:3,textSize:4,buttonSize:5,id:6})}}function create_else_block$c(n){let t,r,a,s,l,u,_=n[2]!==""&&create_if_block_1$j(n);return{c(){t=element("button"),_&&_.c(),r=space(),a=text$2(n[0]),attr(t,"type","button"),attr(t,"id",n[3]),attr(t,"class",s=`${n[5].class||""}
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ExerciceMathalea({props:{vue:"eleve",exercise:n[4],exerciseIndex:n[1],indiceLastExercice:n[2],isCorrectionVisible:n[3]}}),{c(){create_component(t.$$.fragment)},m(a,s){mount_component(t,a,s),r=!0},p(a,s){const l={};s&16&&(l.exercise=a[4]),s&2&&(l.exerciseIndex=a[1]),s&4&&(l.indiceLastExercice=a[2]),s&8&&(l.isCorrectionVisible=a[3]),t.$set(l)},i(a){r||(transition_in(t.$$.fragment,a),r=!0)},o(a){transition_out(t.$$.fragment,a),r=!1},d(a){destroy_component(t,a)}}}function create_if_block_2$8(n){let t,r,a;var s=n[6];function l(u,_){return{props:{indiceExercice:u[1],indiceLastExercice:u[2]}}}return s&&(t=construct_svelte_component(s,l(n))),{c(){t&&create_component(t.$$.fragment),r=empty$1()},m(u,_){t&&mount_component(t,u,_),insert(u,r,_),a=!0},p(u,_){if(_&64&&s!==(s=u[6])){if(t){group_outros();const 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e0,dc=ec==="y"?st:nt,kc=ec==="y"?ut:pt,Jc=ec==="y"?"height":"width",n0=tc[ec],d0=n0+$e[dc],t0=n0-$e[kc],h0=Z?-ac[Jc]/2:0,_0=Dt===Ae?nc[Jc]:ac[Jc],c0=Dt===Ae?-ac[Jc]:-nc[Jc],f0=t.elements.arrow,q0=Z&&f0?pr(f0):{width:0,height:0},D0=t.modifiersData["arrow#persistent"]?t.modifiersData["arrow#persistent"].padding:Vc(),$0=D0[dc],k0=D0[kc],R0=Mi(0,nc[Jc],q0[Jc]),C0=Lr?nc[Jc]/2-h0-R0-$0-cc.mainAxis:_0-R0-$0-cc.mainAxis,I0=Lr?-nc[Jc]/2+h0+R0+k0+cc.mainAxis:c0+R0+k0+cc.mainAxis,Y0=t.elements.arrow&&Ki(t.elements.arrow),K0=Y0?ec==="y"?Y0.clientTop||0:Y0.clientLeft||0:0,W0=(e0=uc==null?void 0:uc[ec])!=null?e0:0,r0=n0+C0-W0-K0,b0=n0+I0-W0,A0=Mi(Z?un(d0,r0):d0,n0,Z?ve(t0,b0):t0);tc[ec]=A0,lc[ec]=A0-n0}if(_){var v0,i0=ec==="x"?st:nt,S0=ec==="x"?ut:pt,E0=tc[ys],L0=ys==="y"?"height":"width",O0=E0+$e[i0],P0=E0-$e[S0],w0=[st,nt].indexOf(Ie)!==-1,U0=(v0=uc==null?void 0:uc[ys])!=null?v0:0,o0=w0?O0:E0-nc[L0]-ac[L0]-U0+cc.altAxis,x0=w0?E0+nc[L0]+ac[L0]-U0-cc.altAxis:P0,T0=Z&&w0?Dd(o0,E0,x0):Mi(Z?o0:O0,E0,Z?x0:P0);tc[ys]=T0,lc[ys]=T0-E0}t.modifiersData[a]=lc}}const Gc={name:"preventOverflow",enabled:!0,phase:"main",fn:tu,requiresIfExists:["offset"]};function eu(n){return{scrollLeft:n.scrollLeft,scrollTop:n.scrollTop}}function iu(n){return n===_t(n)||!dt(n)?gr(n):eu(n)}function su(n){var t=n.getBoundingClientRect(),r=qe(t.width)/n.offsetWidth||1,a=qe(t.height)/n.offsetHeight||1;return r!==1||a!==1}function nu(n,t,r){r===void 0&&(r=!1);var a=dt(t),s=dt(t)&&su(t),l=ie(t),u=Ze(n,s,r),_={scrollLeft:0,scrollTop:0},m={x:0,y:0};return(a||!a&&!r)&&((Rt(t)!=="body"||vr(l))&&(_=iu(t)),dt(t)?(m=Ze(t,!0),m.x+=t.clientLeft,m.y+=t.clientTop):l&&(m.x=br(l))),{x:u.left+_.scrollLeft-m.x,y:u.top+_.scrollTop-m.y,width:u.width,height:u.height}}function ou(n){var t=new Map,r=new Set,a=[];n.forEach(function(l){t.set(l.name,l)});function s(l){r.add(l.name);var u=[].concat(l.requires||[],l.requiresIfExists||[]);u.forEach(function(_){if(!r.has(_)){var m=t.get(_);m&&s(m)}}),a.push(l)}return n.forEach(function(l){r.has(l.name)||s(l)}),a}function ru(n){var t=ou(n);return dn.reduce(function(r,a){return r.concat(t.filter(function(s){return s.phase===a}))},[])}function au(n){var t;return function(){return t||(t=new Promise(function(r){Promise.resolve().then(function(){t=void 0,r(n())})})),t}}function Wt(n){for(var t=arguments.length,r=new Array(t>1?t-1:0),a=1;a<t;a++)r[a-1]=arguments[a];return[].concat(r).reduce(function(s,l){return s.replace(/%s/,l)},n)}var le='Popper: modifier "%s" provided an invalid %s property, expected %s but got %s',lu='Popper: modifier "%s" requires "%s", but "%s" modifier is not available',Ur=["name","enabled","phase","fn","effect","requires","options"];function cu(n){n.forEach(function(t){[].concat(Object.keys(t),Ur).filter(function(r,a,s){return s.indexOf(r)===a}).forEach(function(r){switch(r){case"name":typeof t.name!="string"&&console.error(Wt(le,String(t.name),'"name"','"string"','"'+String(t.name)+'"'));break;case"enabled":typeof t.enabled!="boolean"&&console.error(Wt(le,t.name,'"enabled"','"boolean"','"'+String(t.enabled)+'"'));break;case"phase":dn.indexOf(t.phase)<0&&console.error(Wt(le,t.name,'"phase"',"either "+dn.join(", "),'"'+String(t.phase)+'"'));break;case"fn":typeof t.fn!="function"&&console.error(Wt(le,t.name,'"fn"','"function"','"'+String(t.fn)+'"'));break;case"effect":t.effect!=null&&typeof t.effect!="function"&&console.error(Wt(le,t.name,'"effect"','"function"','"'+String(t.fn)+'"'));break;case"requires":t.requires!=null&&!Array.isArray(t.requires)&&console.error(Wt(le,t.name,'"requires"','"array"','"'+String(t.requires)+'"'));break;case"requiresIfExists":Array.isArray(t.requiresIfExists)||console.error(Wt(le,t.name,'"requiresIfExists"','"array"','"'+String(t.requiresIfExists)+'"'));break;case"options":case"data":break;default:console.error('PopperJS: an invalid property has 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They must be either a DOM element or virtual element.",uu="Popper: An infinite loop in the modifiers cycle has been detected! The cycle has been interrupted to prevent a browser crash.",Gr={placement:"bottom",modifiers:[],strategy:"absolute"};function qr(){for(var n=arguments.length,t=new Array(n),r=0;r<n;r++)t[r]=arguments[r];return!t.some(function(a){return!(a&&typeof a.getBoundingClientRect=="function")})}function gn(n){n===void 0&&(n={});var t=n,r=t.defaultModifiers,a=r===void 0?[]:r,s=t.defaultOptions,l=s===void 0?Gr:s;return function(u,_,m){m===void 0&&(m=l);var g={placement:"bottom",orderedModifiers:[],options:Object.assign({},Gr,l),modifiersData:{},elements:{reference:u,popper:_},attributes:{},styles:{}},f=[],x=!1,w={state:g,setOptions:function(ne){var $e=typeof ne=="function"?ne(g.options):ne;Ce(),g.options=Object.assign({},l,g.options,$e),g.scrollParents={reference:ye(u)?Ri(u):u.contextElement?Ri(u.contextElement):[],popper:Ri(_)};var Ie=ru(du([].concat(a,g.options.modifiers)));if(g.orderedModifiers=Ie.filter(function(sc){return sc.enabled}),{}.NODE_ENV!=="production"){var Dt=hu([].concat(Ie,g.options.modifiers),function(sc){var cc=sc.name;return cc});if(cu(Dt),Et(g.options.placement)===ji){var Lr=g.orderedModifiers.find(function(sc){var cc=sc.name;return cc==="flip"});Lr||console.error(['Popper: "auto" placements require the "flip" modifier be',"present and enabled to work."].join(" "))}var ec=At(_),ys=ec.marginTop,tc=ec.marginRight,nc=ec.marginBottom,ac=ec.marginLeft;[ys,tc,nc,ac].some(function(sc){return parseFloat(sc)})&&console.warn(['Popper: CSS "margin" styles cannot be used to apply padding',"between the popper and its reference element or boundary.","To replicate margin, use the `offset` modifier, as well as","the `padding` option in the `preventOverflow` and `flip`","modifiers."].join(" "))}return Z(),w.update()},forceUpdate:function(){if(!x){var ne=g.elements,$e=ne.reference,Ie=ne.popper;if(!qr($e,Ie)){({}).NODE_ENV!=="production"&&console.error(Xr);return}g.rects={reference:nu($e,Ki(Ie),g.options.strategy==="fixed"),popper:pr(Ie)},g.reset=!1,g.placement=g.options.placement,g.orderedModifiers.forEach(function(sc){return g.modifiersData[sc.name]=Object.assign({},sc.data)});for(var Dt=0,Lr=0;Lr<g.orderedModifiers.length;Lr++){if({}.NODE_ENV!=="production"&&(Dt+=1,Dt>100)){console.error(uu);break}if(g.reset===!0){g.reset=!1,Lr=-1;continue}var ec=g.orderedModifiers[Lr],ys=ec.fn,tc=ec.options,nc=tc===void 0?{}:tc,ac=ec.name;typeof ys=="function"&&(g=ys({state:g,options:nc,name:ac,instance:w})||g)}}},update:au(function(){return new Promise(function(ne){w.forceUpdate(),ne(g)})}),destroy:function(){Ce(),x=!0}};if(!qr(u,_))return{}.NODE_ENV!=="production"&&console.error(Xr),w;w.setOptions(m).then(function(ne){!x&&m.onFirstUpdate&&m.onFirstUpdate(ne)});function Z(){g.orderedModifiers.forEach(function(ne){var $e=ne.name,Ie=ne.options,Dt=Ie===void 0?{}:Ie,Lr=ne.effect;if(typeof Lr=="function"){var ec=Lr({state:g,name:$e,instance:w,options:Dt}),ys=function(){};f.push(ec||ys)}})}function Ce(){f.forEach(function(ne){return ne()}),f=[]}return w}}var pu=gn(),_u=[mr,Tr,fr,ur],fu=gn({defaultModifiers:_u}),mu=[mr,Tr,fr,ur,Xc,zc,Gc,Yc,Uc],se=gn({defaultModifiers:mu});const qc=Object.freeze(Object.defineProperty({__proto__:null,afterMain:Nc,afterRead:Dc,afterWrite:Pc,applyStyles:ur,arrow:Yc,auto:ji,basePlacements:ni,beforeMain:$c,beforeRead:Sc,beforeWrite:Mc,bottom:ut,clippingParents:xc,computeStyles:fr,createPopper:se,createPopperBase:pu,createPopperLite:fu,detectOverflow:Je,end:Ge,eventListeners:mr,flip:zc,hide:Uc,left:nt,main:Lc,modifierPhases:dn,offset:Xc,placements:hr,popper:Be,popperGenerator:gn,popperOffsets:Tr,preventOverflow:Gc,read:Ic,reference:Oc,right:pt,start:Ae,top:st,variationPlacements:Wo,viewport:cr,write:Rc},Symbol.toStringTag,{value:"Module"}));function Ln(n){return n==="true"?!0:n==="false"?!1:n===Number(n).toString()?Number(n):n===""||n==="null"?null:n}function Nn(n){return n.replace(/[A-Z]/g,t=>`-${t.toLowerCase()}`)}const h={setDataAttribute(n,t,r){n.setAttribute(`data-te-${Nn(t)}`,r)},removeDataAttribute(n,t){n.removeAttribute(`data-te-${Nn(t)}`)},getDataAttributes(n){if(!n)return{};const t={};return Object.keys(n.dataset).filter(r=>r.startsWith("te")).forEach(r=>{if(r.startsWith("teClass"))return;let a=r.replace(/^te/,"");a=a.charAt(0).toLowerCase()+a.slice(1,a.length),t[a]=Ln(n.dataset[r])}),t},getDataClassAttributes(n){if(!n)return{};const t={...n.dataset};return Object.keys(t).filter(r=>r.startsWith("teClass")).forEach(r=>{let a=r.replace(/^teClass/,"");a=a.charAt(0).toLowerCase()+a.slice(1,a.length),t[a]=Ln(t[r])}),t},getDataAttribute(n,t){return Ln(n.getAttribute(`data-te-${Nn(t)}`))},offset(n){const t=n.getBoundingClientRect();return{top:t.top+document.body.scrollTop,left:t.left+document.body.scrollLeft}},position(n){return{top:n.offsetTop,left:n.offsetLeft}},style(n,t){Object.assign(n.style,t)},toggleClass(n,t){n&&Mn(t).forEach(r=>{n.classList.contains(r)?n.classList.remove(r):n.classList.add(r)})},addClass(n,t){Mn(t).forEach(r=>!n.classList.contains(r)&&n.classList.add(r))},addStyle(n,t){Object.keys(t).forEach(r=>{n.style[r]=t[r]})},removeClass(n,t){Mn(t).forEach(r=>n.classList.contains(r)&&n.classList.remove(r))},hasClass(n,t){return n.classList.contains(t)},maxOffset(n){const t=n.getBoundingClientRect();return{top:t.top+Math.max(document.body.scrollTop,document.documentElement.scrollTop,window.scrollY),left:t.left+Math.max(document.body.scrollLeft,document.documentElement.scrollLeft,window.scrollX)}}};function Mn(n){return typeof n=="string"?n.split(" "):Array.isArray(n)?n:!1}const gu=3,d={closest(n,t){return n.closest(t)},matches(n,t){return n.matches(t)},find(n,t=document.documentElement){return[].concat(...Element.prototype.querySelectorAll.call(t,n))},findOne(n,t=document.documentElement){return Element.prototype.querySelector.call(t,n)},children(n,t){return[].concat(...n.children).filter(r=>r.matches(t))},parents(n,t){const r=[];let a=n.parentNode;for(;a&&a.nodeType===Node.ELEMENT_NODE&&a.nodeType!==gu;)this.matches(a,t)&&r.push(a),a=a.parentNode;return r},prev(n,t){let r=n.previousElementSibling;for(;r;){if(r.matches(t))return[r];r=r.previousElementSibling}return[]},next(n,t){let r=n.nextElementSibling;for(;r;){if(this.matches(r,t))return[r];r=r.nextElementSibling}return[]},focusableChildren(n){const t=["a","button","input","textarea","select","details","[tabindex]",'[contenteditable="true"]'].map(r=>`${r}:not([tabindex^="-"])`).join(", ");return this.find(t,n).filter(r=>!be(r)&&Mt(r))}};W();W();W();W();W();W();const Bn="collapse",Zc="te.collapse",bn=`.${Zc}`,ea={toggle:!0,parent:null},Yu={toggle:"boolean",parent:"(null|element)"},ju=`show${bn}`,Ku=`shown${bn}`,zu=`hide${bn}`,Uu=`hidden${bn}`,Hn="data-te-collapse-show",ia="data-te-collapse-collapsed",rs="data-te-collapse-collapsing",Xu="data-te-collapse-horizontal",We="data-te-collapse-item",sa=`:scope [${We}] [${We}]`,Gu="width",qu="height",Zu="[data-te-collapse-item][data-te-collapse-show], [data-te-collapse-item][data-te-collapse-collapsing]",na="[data-te-collapse-init]",Qu={visible:"!visible",hidden:"hidden",baseTransition:"overflow-hidden duration-[350ms] ease-[cubic-bezier(0.25,0.1,0.25,1.0)] motion-reduce:transition-none",collapsing:"h-0 transition-[height] overflow-hidden duration-[350ms] ease-[cubic-bezier(0.25,0.1,0.25,1.0)] motion-reduce:transition-none",collapsingHorizontal:"w-0 h-auto transition-[width] overflow-hidden duration-[350ms] ease-[cubic-bezier(0.25,0.1,0.25,1.0)] motion-reduce:transition-none"},Ju={visible:"string",hidden:"string",baseTransition:"string",collapsing:"string",collapsingHorizontal:"string"};class Qt extends ft{constructor(t,r,a){super(t),this._isTransitioning=!1,this._config=this._getConfig(r),this._classes=this._getClasses(a),this._triggerArray=[];const s=d.find(na);for(let l=0,u=s.length;l<u;l++){const _=s[l],m=lr(_),g=d.find(m).filter(f=>f===this._element);m!==null&&g.length&&(this._selector=m,this._triggerArray.push(_))}this._initializeChildren(),this._config.parent||this._addAriaAndCollapsedClass(this._triggerArray,this._isShown()),this._config.toggle&&this.toggle()}static get Default(){return ea}static get NAME(){return Bn}toggle(){this._isShown()?this.hide():this.show()}show(){if(this._isTransitioning||this._isShown())return;let t=[],r;if(this._config.parent){const m=d.find(sa,this._config.parent);t=d.find(Zu,this._config.parent).filter(g=>!m.includes(g))}const a=d.findOne(this._selector);if(t.length){const m=t.find(g=>a!==g);if(r=m?Qt.getInstance(m):null,r&&r._isTransitioning)return}if(c.trigger(this._element,ju).defaultPrevented)return;t.forEach(m=>{a!==m&&Qt.getOrCreateInstance(m,{toggle:!1}).hide(),r||A.setData(m,Zc,null)});const s=this._getDimension(),l=s==="height"?this._classes.collapsing:this._classes.collapsingHorizontal;h.removeClass(this._element,this._classes.visible),h.removeClass(this._element,this._classes.hidden),h.addClass(this._element,l),this._element.removeAttribute(We),this._element.setAttribute(rs,""),this._element.style[s]=0,this._addAriaAndCollapsedClass(this._triggerArray,!0),this._isTransitioning=!0;const u=()=>{this._isTransitioning=!1,h.removeClass(this._element,this._classes.hidden),h.removeClass(this._element,l),h.addClass(this._element,this._classes.visible),this._element.removeAttribute(rs),this._element.setAttribute(We,""),this._element.setAttribute(Hn,""),this._element.style[s]="",c.trigger(this._element,Ku)},_=`scroll${s[0].toUpperCase()+s.slice(1)}`;this._queueCallback(u,this._element,!0),this._element.style[s]=`${this._element[_]}px`}hide(){if(this._isTransitioning||!this._isShown()||c.trigger(this._element,zu).defaultPrevented)return;const t=this._getDimension(),r=t==="height"?this._classes.collapsing:this._classes.collapsingHorizontal;this._element.style[t]=`${this._element.getBoundingClientRect()[t]}px`,si(this._element),h.addClass(this._element,r),h.removeClass(this._element,this._classes.visible),h.removeClass(this._element,this._classes.hidden),this._element.setAttribute(rs,""),this._element.removeAttribute(We),this._element.removeAttribute(Hn);const a=this._triggerArray.length;for(let l=0;l<a;l++){const u=this._triggerArray[l],_=te(u);_&&!this._isShown(_)&&this._addAriaAndCollapsedClass([u],!1)}this._isTransitioning=!0;const s=()=>{this._isTransitioning=!1,h.removeClass(this._element,r),h.addClass(this._element,this._classes.visible),h.addClass(this._element,this._classes.hidden),this._element.removeAttribute(rs),this._element.setAttribute(We,""),c.trigger(this._element,Uu)};this._element.style[t]="",this._queueCallback(s,this._element,!0)}_isShown(t=this._element){return t.hasAttribute(Hn)}_getConfig(t){return t={...ea,...h.getDataAttributes(this._element),...t},t.toggle=!!t.toggle,t.parent=ee(t.parent),I(Bn,t,Yu),t}_getClasses(t){const r=h.getDataClassAttributes(this._element);return t={...Qu,...r,...t},I(Bn,t,Ju),t}_getDimension(){return this._element.hasAttribute(Xu)?Gu:qu}_initializeChildren(){if(!this._config.parent)return;const t=d.find(sa,this._config.parent);d.find(na,this._config.parent).filter(r=>!t.includes(r)).forEach(r=>{const a=te(r);a&&this._addAriaAndCollapsedClass([r],this._isShown(a))})}_addAriaAndCollapsedClass(t,r){t.length&&t.forEach(a=>{r?a.removeAttribute(ia):a.setAttribute(`${ia}`,""),a.setAttribute("aria-expanded",r)})}static jQueryInterface(t){return this.each(function(){const r={};typeof t=="string"&&/show|hide/.test(t)&&(r.toggle=!1);const a=Qt.getOrCreateInstance(this,r);if(typeof t=="string"){if(typeof a[t]>"u")throw new TypeError(`No method named "${t}"`);a[t]()}})}}const tp={isVisible:!0,isAnimated:!1,rootElement:"body",clickCallback:null,backdropClasses:null},ep={isVisible:"boolean",isAnimated:"boolean",rootElement:"(element|string)",clickCallback:"(function|null)",backdropClasses:"(array|string|null)"},Qc="backdrop",aa=`mousedown.te.${Qc}`;class Cr{constructor(t){this._config=this._getConfig(t),this._isAppended=!1,this._element=null}show(t){if(!this._config.isVisible){ge(t);return}this._append(),this._config.isAnimated&&si(this._getElement());const r=this._config.backdropClasses||["opacity-50","transition-all","duration-300","ease-in-out","fixed","top-0","left-0","z-[1040]","bg-black","w-screen","h-screen"];h.removeClass(this._getElement(),"opacity-0"),h.addClass(this._getElement(),r),this._element.setAttribute("data-te-backdrop-show",""),this._emulateAnimation(()=>{ge(t)})}hide(t){if(!this._config.isVisible){ge(t);return}this._element.removeAttribute("data-te-backdrop-show"),this._getElement().classList.add("opacity-0"),this._getElement().classList.remove("opacity-50"),this._emulateAnimation(()=>{this.dispose(),ge(t)})}_getElement(){if(!this._element){const t=document.createElement("div");t.className=this._config.className,this._config.isAnimated&&t.classList.add("opacity-50"),this._element=t}return this._element}_getConfig(t){return t={...tp,...typeof t=="object"?t:{}},t.rootElement=ee(t.rootElement),I(Qc,t,ep),t}_append(){this._isAppended||(this._config.rootElement.append(this._getElement()),c.on(this._getElement(),aa,()=>{ge(this._config.clickCallback)}),this._isAppended=!0)}dispose(){this._isAppended&&(c.off(this._element,aa),this._element.remove(),this._isAppended=!1)}_emulateAnimation(t){bc(t,this._getElement(),this._config.isAnimated)}}class zi{constructor(t,r={},a){this._element=t,this._toggler=a,this._event=r.event||"blur",this._condition=r.condition||(()=>!0),this._selector=r.selector||'button, a, input, select, textarea, [tabindex]:not([tabindex="-1"])',this._onlyVisible=r.onlyVisible||!1,this._focusableElements=[],this._firstElement=null,this._lastElement=null,this.handler=s=>{this._condition(s)&&!s.shiftKey&&s.target===this._lastElement?(s.preventDefault(),this._firstElement.focus()):this._condition(s)&&s.shiftKey&&s.target===this._firstElement&&(s.preventDefault(),this._lastElement.focus())}}trap(){this._setElements(),this._init(),this._setFocusTrap()}disable(){this._focusableElements.forEach(t=>{t.removeEventListener(this._event,this.handler)}),this._toggler&&this._toggler.focus()}update(){this._setElements(),this._setFocusTrap()}_init(){const t=r=>{!this._firstElement||r.key!=="Tab"||this._focusableElements.includes(r.target)||(r.preventDefault(),this._firstElement.focus(),window.removeEventListener("keydown",t))};window.addEventListener("keydown",t)}_filterVisible(t){return t.filter(r=>{if(!Mt(r))return!1;const a=d.parents(r,"*");for(let s=0;s<a.length;s++){const l=window.getComputedStyle(a[s]);if(l&&(l.display==="none"||l.visibility==="hidden"))return!1}return!0})}_setElements(){this._focusableElements=d.focusableChildren(this._element),this._onlyVisible&&(this._focusableElements=this._filterVisible(this._focusableElements)),this._firstElement=this._focusableElements[0],this._lastElement=this._focusableElements[this._focusableElements.length-1]}_setFocusTrap(){this._focusableElements.forEach((t,r)=>{r===this._focusableElements.length-1||r===0?t.addEventListener(this._event,this.handler):t.removeEventListener(this._event,this.handler)})}}const Wn="carousel",vp="te.carousel",mt=`.${vp}`,th=".data-api",Tp="ArrowLeft",Ep="ArrowRight",Cp=500,Ap=40,pa={interval:5e3,keyboard:!0,ride:!1,pause:"hover",wrap:!0,touch:!0},yp={interval:"(number|boolean)",keyboard:"boolean",ride:"(boolean|string)",pause:"(string|boolean)",wrap:"boolean",touch:"boolean"},wp={pointer:"touch-pan-y",block:"!block",visible:"data-[te-carousel-fade]:opacity-100 data-[te-carousel-fade]:z-[1]",invisible:"data-[te-carousel-fade]:z-0 data-[te-carousel-fade]:opacity-0 data-[te-carousel-fade]:duration-[600ms] data-[te-carousel-fade]:delay-600",slideRight:"translate-x-full",slideLeft:"-translate-x-full"},kp={pointer:"string",block:"string",visible:"string",invisible:"string",slideRight:"string",slideLeft:"string"},ce="next",he="prev",fe="left",Ei="right",xp={[Tp]:Ei,[Ep]:fe},Op=`slide${mt}`,Fn=`slid${mt}`,Sp=`keydown${mt}`,Ip=`mouseenter${mt}`,Dp=`mouseleave${mt}`,$p=`touchstart${mt}`,Lp=`touchmove${mt}`,Np=`touchend${mt}`,Mp=`pointerdown${mt}`,Rp=`pointerup${mt}`,Pp=`dragstart${mt}`,Bp=`load${mt}${th}`,Hp=`click${mt}${th}`,_a="data-te-carousel-init",de="data-te-carousel-active",Vp="data-te-carousel-item-end",Yn="data-te-carousel-item-start",Wp="data-te-carousel-item-next",Fp="data-te-carousel-item-prev",Yp="data-te-carousel-pointer-event",jp="[data-te-carousel-init]",eh="[data-te-carousel-active]",Ar="[data-te-carousel-item]",Se=`${eh}${Ar}`,Kp=`${Ar} img`,zp="[data-te-carousel-item-next], [data-te-carousel-item-prev]",Up="[data-te-carousel-indicators]",Xp="[data-te-target]",Gp="[data-te-slide], [data-te-slide-to]",qp="touch",Zp="pen";class Xt extends ft{constructor(t,r,a){super(t),this._items=null,this._interval=null,this._activeElement=null,this._isPaused=!1,this._isSliding=!1,this.touchTimeout=null,this.touchStartX=0,this.touchDeltaX=0,this._config=this._getConfig(r),this._classes=this._getClasses(a),this._indicatorsElement=d.findOne(Up,this._element),this._touchSupported="ontouchstart"in document.documentElement||navigator.maxTouchPoints>0,this._pointerEvent=!!window.PointerEvent,this._setActiveElementClass(),this._addEventListeners(),this._didInit=!1,this._init(),this._config.ride==="carousel"&&this.cycle()}static get Default(){return pa}static get NAME(){return Wn}next(){this._slide(ce)}nextWhenVisible(){!document.hidden&&Mt(this._element)&&this.next()}prev(){this._slide(he)}pause(t){t||(this._isPaused=!0),d.findOne(zp,this._element)&&(_c(this._element),this.cycle(!0)),clearInterval(this._interval),this._interval=null}cycle(t){t||(this._isPaused=!1),this._interval&&(clearInterval(this._interval),this._interval=null),this._config&&this._config.interval&&!this._isPaused&&(this._updateInterval(),this._interval=setInterval((document.visibilityState?this.nextWhenVisible:this.next).bind(this),this._config.interval))}to(t){this._activeElement=d.findOne(Se,this._element);const r=this._getItemIndex(this._activeElement);if(t>this._items.length-1||t<0)return;if(this._isSliding){c.one(this._element,Fn,()=>this.to(t));return}if(r===t){this.pause(),this.cycle();return}const a=t>r?ce:he;this._slide(a,this._items[t])}_init(){this._didInit||(c.on(document,Hp,Gp,Xt.dataApiClickHandler),c.on(window,Bp,()=>{const t=d.find(jp);for(let r=0,a=t.length;r<a;r++)Xt.carouselInterface(t[r],Xt.getInstance(t[r]))}),this._didInit=!0)}_getConfig(t){return t={...pa,...h.getDataAttributes(this._element),...typeof t=="object"?t:{}},I(Wn,t,yp),t}_getClasses(t){const r=h.getDataClassAttributes(this._element);return t={...wp,...r,...t},I(Wn,t,kp),t}_enableCycle(){if(this._config.ride){if(this._isSliding){c.one(this._element,Fn,()=>this.cycle());return}this.cycle()}}_applyInitialClasses(){const t=d.findOne(Se,this._element);t.classList.add(this._classes.block,...this._classes.visible.split(" ")),this._setActiveIndicatorElement(t)}_handleSwipe(){const t=Math.abs(this.touchDeltaX);if(t<=Ap)return;const r=t/this.touchDeltaX;this.touchDeltaX=0,r&&this._slide(r>0?Ei:fe)}_setActiveElementClass(){this._activeElement=d.findOne(Se,this._element),h.addClass(this._activeElement,"hidden")}_addEventListeners(){this._config.keyboard&&c.on(this._element,Sp,t=>this._keydown(t)),this._config.pause==="hover"&&(c.on(this._element,Ip,t=>this.pause(t)),c.on(this._element,Dp,t=>this._enableCycle(t))),this._config.touch&&this._touchSupported&&this._addTouchEventListeners(),this._applyInitialClasses()}_addTouchEventListeners(){const t=l=>this._pointerEvent&&(l.pointerType===Zp||l.pointerType===qp),r=l=>{t(l)?this.touchStartX=l.clientX:this._pointerEvent||(this.touchStartX=l.touches[0].clientX)},a=l=>{this.touchDeltaX=l.touches&&l.touches.length>1?0:l.touches[0].clientX-this.touchStartX},s=l=>{t(l)&&(this.touchDeltaX=l.clientX-this.touchStartX),this._handleSwipe(),this._config.pause==="hover"&&(this.pause(),this.touchTimeout&&clearTimeout(this.touchTimeout),this.touchTimeout=setTimeout(u=>this._enableCycle(u),Cp+this._config.interval))};d.find(Kp,this._element).forEach(l=>{c.on(l,Pp,u=>u.preventDefault())}),this._pointerEvent?(c.on(this._element,Mp,l=>r(l)),c.on(this._element,Rp,l=>s(l)),this._element.classList.add(this._classes.pointer),this._element.setAttribute(`${Yp}`,"")):(c.on(this._element,$p,l=>r(l)),c.on(this._element,Lp,l=>a(l)),c.on(this._element,Np,l=>s(l)))}_keydown(t){if(/input|textarea/i.test(t.target.tagName))return;const r=xp[t.key];r&&(t.preventDefault(),this._slide(r))}_getItemIndex(t){return this._items=t&&t.parentNode?d.find(Ar,t.parentNode):[],this._items.indexOf(t)}_getItemByOrder(t,r){const a=t===ce;return vc(this._items,r,a,this._config.wrap)}_triggerSlideEvent(t,r){const a=this._getItemIndex(t),s=this._getItemIndex(d.findOne(Se,this._element));return c.trigger(this._element,Op,{relatedTarget:t,direction:r,from:s,to:a})}_setActiveIndicatorElement(t){if(this._indicatorsElement){const r=d.findOne(eh,this._indicatorsElement);r.removeAttribute(de),r.removeAttribute("aria-current"),r.classList.remove("!opacity-100");const a=d.find(Xp,this._indicatorsElement);for(let s=0;s<a.length;s++)if(Number.parseInt(a[s].getAttribute("data-te-slide-to"),10)===this._getItemIndex(t)){a[s].setAttribute(`${de}`,""),a[s].setAttribute("aria-current","true"),a[s].classList.add("!opacity-100");break}}}_updateInterval(){const t=this._activeElement||d.findOne(Se,this._element);if(!t)return;const r=Number.parseInt(t.getAttribute("data-te-interval"),10);r?(this._config.defaultInterval=this._config.defaultInterval||this._config.interval,this._config.interval=r):this._config.interval=this._config.defaultInterval||this._config.interval}_slide(t,r){const a=this._directionToOrder(t),s=d.findOne(Se,this._element),l=this._getItemIndex(s),u=r||this._getItemByOrder(a,s),_=this._getItemIndex(u),m=!!this._interval,g=a===ce,f=g?Yn:Vp,x=g?Wp:Fp,w=this._orderToDirection(a),Z=f===Yn?this._classes.slideLeft:this._classes.slideRight,Ce=f!==Yn?this._classes.slideLeft:this._classes.slideRight;if(u&&u.hasAttribute(de)){this._isSliding=!1;return}if(this._isSliding||this._triggerSlideEvent(u,w).defaultPrevented||!s||!u)return;this._isSliding=!0,m&&this.pause(),this._setActiveIndicatorElement(u),this._activeElement=u;const ne=()=>{c.trigger(this._element,Fn,{relatedTarget:u,direction:w,from:l,to:_})};if(this._element.hasAttribute(_a)){u.setAttribute(`${x}`,""),u.classList.add(this._classes.block,Ce),si(u),s.setAttribute(`${f}`,""),s.classList.add(Z,...this._classes.invisible.split(" ")),s.classList.remove(...this._classes.visible.split(" ")),u.setAttribute(`${f}`,""),u.classList.add(...this._classes.visible.split(" ")),u.classList.remove(this._classes.slideRight,this._classes.slideLeft);const $e=()=>{u.removeAttribute(f),u.removeAttribute(x),u.setAttribute(`${de}`,""),s.removeAttribute(de),s.classList.remove(Z,...this._classes.invisible.split(" "),this._classes.block),s.removeAttribute(x),s.removeAttribute(f),this._isSliding=!1,setTimeout(ne,0)};this._queueCallback($e,s,!0)}else s.removeAttribute(de),s.classList.remove(this._classes.block),u.setAttribute(`${de}`,""),u.classList.add(this._classes.block),this._isSliding=!1,ne();m&&this.cycle()}_directionToOrder(t){return[Ei,fe].includes(t)?W()?t===fe?he:ce:t===fe?ce:he:t}_orderToDirection(t){return[ce,he].includes(t)?W()?t===he?fe:Ei:t===he?Ei:fe:t}static carouselInterface(t,r){const a=Xt.getOrCreateInstance(t,r);let{_config:s}=a;typeof r=="object"&&(s={...s,...r});const l=typeof r=="string"?r:r.slide;if(typeof r=="number"){a.to(r);return}if(typeof l=="string"){if(typeof a[l]>"u")throw new TypeError(`No method named "${l}"`);a[l]()}else s.interval&&s.ride===!0&&a.pause()}static jQueryInterface(t){return this.each(function(){Xt.carouselInterface(this,t)})}static dataApiClickHandler(t){const r=te(this);if(!r||!r.hasAttribute(_a))return;const a={...h.getDataAttributes(r),...h.getDataAttributes(this)},s=this.getAttribute("data-te-slide-to");s&&(a.interval=!1),Xt.carouselInterface(r,a),s&&Xt.getInstance(r).to(s),t.preventDefault()}}const c_=new Set(["background","cite","href","itemtype","longdesc","poster","src","xlink:href"]),ih=/^aria-[\w-]*$/i,d_=/^(?:(?:https?|mailto|ftp|tel|file|sms):|[^#&/:?]*(?:[#/?]|$))/i,u_=/^data:(?:image\/(?:bmp|gif|jpeg|jpg|png|tiff|webp)|video\/(?:mpeg|mp4|ogg|webm)|audio\/(?:mp3|oga|ogg|opus));base64,[\d+/a-z]+=*$/i,p_=(n,t)=>{const r=n.nodeName.toLowerCase();if(t.includes(r))return c_.has(r)?!!(d_.test(n.nodeValue)||u_.test(n.nodeValue)):!0;const a=t.filter(s=>s instanceof RegExp);for(let s=0,l=a.length;s<l;s++)if(a[s].test(r))return!0;return!1},__={"*":["class","dir","id","lang","role",ih],a:["target","href","title","rel"],area:[],b:[],br:[],col:[],code:[],div:[],em:[],hr:[],h1:[],h2:[],h3:[],h4:[],h5:[],h6:[],i:[],img:["src","srcset","alt","title","width","height"],li:[],ol:[],p:[],pre:[],s:[],small:[],span:[],sub:[],sup:[],strong:[],u:[],ul:[]};function pn(n,t,r){if(!n.length)return n;if(r&&typeof r=="function")return r(n);const a=new window.DOMParser().parseFromString(n,"text/html"),s=[].concat(...a.body.querySelectorAll("*"));for(let l=0,u=s.length;l<u;l++){const _=s[l],m=_.nodeName.toLowerCase();if(!Object.keys(t).includes(m)){_.remove();continue}const g=[].concat(..._.attributes),f=[].concat(t["*"]||[],t[m]||[]);g.forEach(x=>{p_(x,f)||_.removeAttribute(x.nodeName)})}return a.body.innerHTML}const Aa="tooltip",f_="te.tooltip",kt=`.${f_}`,m_="te-tooltip",g_=new Set(["sanitize","allowList","sanitizeFn"]),b_={animation:"boolean",template:"string",title:"(string|element|function)",trigger:"string",delay:"(number|object)",html:"boolean",selector:"(string|boolean)",placement:"(string|function)",offset:"(array|string|function)",container:"(string|element|boolean)",fallbackPlacements:"array",boundary:"(string|element)",customClass:"(string|function)",sanitize:"boolean",sanitizeFn:"(null|function)",allowList:"object",popperConfig:"(null|object|function)"},v_={AUTO:"auto",TOP:"top",RIGHT:W()?"left":"right",BOTTOM:"bottom",LEFT:W()?"right":"left"},T_={animation:!0,template:'<div class="opacity-0 transition-opacity duration-300 ease-in-out absolute z-[1080] block m-0 text-sm not-italic font-normal text-left no-underline underline-offset-auto normal-case leading-6 tracking-normal break-normal whitespace-normal" role="tooltip"><div data-te-tooltip-inner-ref class="tooltip-inner max-w-[200px] text-sm py-1.5 px-4 text-white text-center bg-[#6d6d6d] rounded"></div></div>',trigger:"hover focus",title:"",delay:0,html:!1,selector:!1,placement:"top",offset:[0,0],container:!1,fallbackPlacements:["top","right","bottom","left"],boundary:"clippingParents",customClass:"",sanitize:!0,sanitizeFn:null,allowList:__,popperConfig:{hide:!0}},E_={HIDE:`hide${kt}`,HIDDEN:`hidden${kt}`,SHOW:`show${kt}`,SHOWN:`shown${kt}`,INSERTED:`inserted${kt}`,CLICK:`click${kt}`,FOCUSIN:`focusin${kt}`,FOCUSOUT:`focusout${kt}`,MOUSEENTER:`mouseenter${kt}`,MOUSELEAVE:`mouseleave${kt}`},C_="fade",A_="modal",Kn="show",_i="show",zn="out",ya=".tooltip-inner",wa=`.${A_}`,ka="hide.te.modal",fi="hover",Un="focus",y_="click",w_="manual";class ri extends ft{constructor(t,r){if(typeof qc>"u")throw new TypeError("Bootstrap's tooltips require Popper (https://popper.js.org)");super(t),this._isEnabled=!0,this._timeout=0,this._hoverState="",this._activeTrigger={},this._popper=null,this._config=this._getConfig(r),this.tip=null,this._setListeners()}static get Default(){return T_}static get NAME(){return Aa}static get Event(){return E_}static get DefaultType(){return b_}enable(){this._isEnabled=!0}disable(){this._isEnabled=!1}toggleEnabled(){this._isEnabled=!this._isEnabled}toggle(t){if(this._isEnabled)if(t){const r=this._initializeOnDelegatedTarget(t);r._activeTrigger.click=!r._activeTrigger.click,r._isWithActiveTrigger()?r._enter(null,r):r._leave(null,r)}else{if(this.getTipElement().classList.contains(Kn)){this._leave(null,this);return}this._enter(null,this)}}dispose(){clearTimeout(this._timeout),c.off(this._element.closest(wa),ka,this._hideModalHandler),this.tip&&this.tip.remove(),this._disposePopper(),super.dispose()}show(){if(this._element.style.display==="none")throw new Error("Please use show on visible elements");if(!(this.isWithContent()&&this._isEnabled))return;const t=c.trigger(this._element,this.constructor.Event.SHOW),r=fc(this._element),a=r===null?this._element.ownerDocument.documentElement.contains(this._element):r.contains(this._element);if(t.defaultPrevented||!a)return;this.constructor.NAME==="tooltip"&&this.tip&&this.getTitle()!==this.tip.querySelector(ya).innerHTML&&(this._disposePopper(),this.tip.remove(),this.tip=null);const s=this.getTipElement(),l=et(this.constructor.NAME);s.setAttribute("id",l),this._element.setAttribute("aria-describedby",l),this._config.animation&&setTimeout(()=>{this.tip.classList.add("opacity-100"),this.tip.classList.remove("opacity-0")},100);const u=typeof this._config.placement=="function"?this._config.placement.call(this,s,this._element):this._config.placement,_=this._getAttachment(u);this._addAttachmentClass(_);const{container:m}=this._config;if(A.setData(s,this.constructor.DATA_KEY,this),this._element.ownerDocument.documentElement.contains(this.tip)||(m.append(s),c.trigger(this._element,this.constructor.Event.INSERTED)),this._popper?this._popper.update():this._popper=se(this._element,s,this._getPopperConfig(_)),s.getAttribute("id").includes("tooltip"))switch(u){case"bottom":s.classList.add("py-[0.4rem]");break;case"left":s.classList.add("px-[0.4rem]");break;case"right":s.classList.add("px-[0.4rem]");break;default:s.classList.add("py-[0.4rem]");break}const g=this._resolvePossibleFunction(this._config.customClass);g&&s.classList.add(...g.split(" ")),"ontouchstart"in document.documentElement&&[].concat(...document.body.children).forEach(w=>{c.on(w,"mouseover",hn)});const f=()=>{const w=this._hoverState;this._hoverState=null,c.trigger(this._element,this.constructor.Event.SHOWN),w===zn&&this._leave(null,this)},x=this.tip.classList.contains("transition-opacity");this._queueCallback(f,this.tip,x)}hide(){if(!this._popper)return;const t=this.getTipElement(),r=()=>{this._isWithActiveTrigger()||(this._hoverState!==_i&&t.remove(),this._cleanTipClass(),this._element.removeAttribute("aria-describedby"),c.trigger(this._element,this.constructor.Event.HIDDEN),this._disposePopper())};if(c.trigger(this._element,this.constructor.Event.HIDE).defaultPrevented)return;t.classList.add("opacity-0"),t.classList.remove("opacity-100"),"ontouchstart"in document.documentElement&&[].concat(...document.body.children).forEach(s=>c.off(s,"mouseover",hn)),this._activeTrigger[y_]=!1,this._activeTrigger[Un]=!1,this._activeTrigger[fi]=!1;const a=this.tip.classList.contains("opacity-0");this._queueCallback(r,this.tip,a),this._hoverState=""}update(){this._popper!==null&&this._popper.update()}isWithContent(){return!!this.getTitle()}getTipElement(){if(this.tip)return this.tip;const t=document.createElement("div");t.innerHTML=this._config.template;const r=t.children[0];return this.setContent(r),r.classList.remove(C_,Kn),this.tip=r,this.tip}setContent(t){this._sanitizeAndSetContent(t,this.getTitle(),ya)}_sanitizeAndSetContent(t,r,a){const s=d.findOne(a,t);if(!r&&s){s.remove();return}this.setElementContent(s,r)}setElementContent(t,r){if(t!==null){if(Xe(r)){r=ee(r),this._config.html?r.parentNode!==t&&(t.innerHTML="",t.append(r)):t.textContent=r.textContent;return}this._config.html?(this._config.sanitize&&(r=pn(r,this._config.allowList,this._config.sanitizeFn)),t.innerHTML=r):t.textContent=r}}getTitle(){const t=this._element.getAttribute("data-te-original-title")||this._config.title;return this._resolvePossibleFunction(t)}updateAttachment(t){return t==="right"?"end":t==="left"?"start":t}_initializeOnDelegatedTarget(t,r){return r||this.constructor.getOrCreateInstance(t.delegateTarget,this._getDelegateConfig())}_getOffset(){const{offset:t}=this._config;return typeof t=="string"?t.split(",").map(r=>Number.parseInt(r,10)):typeof t=="function"?r=>t(r,this._element):t}_resolvePossibleFunction(t){return typeof t=="function"?t.call(this._element):t}_getPopperConfig(t){const r={placement:t,modifiers:[{name:"flip",options:{fallbackPlacements:this._config.fallbackPlacements}},{name:"offset",options:{offset:this._getOffset()}},{name:"preventOverflow",options:{boundary:this._config.boundary}},{name:"arrow",options:{element:`.${this.constructor.NAME}-arrow`}},{name:"onChange",enabled:!0,phase:"afterWrite",fn:a=>this._handlePopperPlacementChange(a)}],onFirstUpdate:a=>{a.options.placement!==a.placement&&this._handlePopperPlacementChange(a)}};return{...r,...typeof this._config.popperConfig=="function"?this._config.popperConfig(r):this._config.popperConfig}}_addAttachmentClass(t){this.getTipElement().classList.add(`${this._getBasicClassPrefix()}-${this.updateAttachment(t)}`)}_getAttachment(t){return v_[t.toUpperCase()]}_setListeners(){this._config.trigger.split(" ").forEach(t=>{if(t==="click")c.on(this._element,this.constructor.Event.CLICK,this._config.selector,r=>this.toggle(r));else if(t!==w_){const r=t===fi?this.constructor.Event.MOUSEENTER:this.constructor.Event.FOCUSIN,a=t===fi?this.constructor.Event.MOUSELEAVE:this.constructor.Event.FOCUSOUT;c.on(this._element,r,this._config.selector,s=>this._enter(s)),c.on(this._element,a,this._config.selector,s=>this._leave(s))}}),this._hideModalHandler=()=>{this._element&&this.hide()},c.on(this._element.closest(wa),ka,this._hideModalHandler),this._config.selector?this._config={...this._config,trigger:"manual",selector:""}:this._fixTitle()}_fixTitle(){const t=this._element.getAttribute("title"),r=typeof this._element.getAttribute("data-te-original-title");(t||r!=="string")&&(this._element.setAttribute("data-te-original-title",t||""),t&&!this._element.getAttribute("aria-label")&&!this._element.textContent&&this._element.setAttribute("aria-label",t),this._element.setAttribute("title",""))}_enter(t,r){if(r=this._initializeOnDelegatedTarget(t,r),t&&(r._activeTrigger[t.type==="focusin"?Un:fi]=!0),r.getTipElement().classList.contains(Kn)||r._hoverState===_i){r._hoverState=_i;return}if(clearTimeout(r._timeout),r._hoverState=_i,!r._config.delay||!r._config.delay.show){r.show();return}r._timeout=setTimeout(()=>{r._hoverState===_i&&r.show()},r._config.delay.show)}_leave(t,r){if(r=this._initializeOnDelegatedTarget(t,r),t&&(r._activeTrigger[t.type==="focusout"?Un:fi]=r._element.contains(t.relatedTarget)),!r._isWithActiveTrigger()){if(clearTimeout(r._timeout),r._hoverState=zn,!r._config.delay||!r._config.delay.hide){r.hide();return}r._timeout=setTimeout(()=>{r._hoverState===zn&&r.hide()},r._config.delay.hide)}}_isWithActiveTrigger(){for(const 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t=r=>!r.parentNode||r.parentNode===document?r:r.parentNode.style.position==="relative"||r.parentNode.classList.contains("relative")?r.parentNode:t(r.parentNode);return t(this._element)}get isVisible(){let t=0,r=window.innerWidth;if(this.options.sidenavPosition!=="fixed"){const s=this.container.getBoundingClientRect();t=s.x,r=s.x+s.width}const{x:a}=this._element.getBoundingClientRect();if(this.options.sidenavRight&&!W()||!this.options.sidenavRight&&W()){let s=0;if(this.container.scrollHeight>this.container.clientHeight&&(s=this.container.offsetWidth-this.container.clientWidth),this.container.tagName==="BODY"){const l=document.documentElement.clientWidth;s=Math.abs(window.innerWidth-l)}return Math.abs(a+s-r)>10}return Math.abs(a-t)<10}get links(){return d.find(gi,this._element)}get navigation(){return d.find(Pg,this._element)}get options(){const t={...Wg,...h.getDataAttributes(this._element),...this._options};return I(hl,t,Vg),t}get sidenavStyle(){return{width:`${this.width}px`,height:this.options.sidenavPosition==="fixed"?"100vh":"100%",position:this.options.sidenavPosition,transition:`all ${this.transitionDuration} linear`}}get toggler(){return d.find(fo).find(t=>{const r=h.getDataAttribute(t,"target");return d.findOne(r)===this._element})}get transitionDuration(){return`${this.options.sidenavTransitionDuration/1e3}s`}get translation(){return this.options.sidenavRight?Hg:Bg}get width(){return this._slimCollapsed?this.options.sidenavSlimWidth:this.options.sidenavWidth}get isBackdropVisible(){return!!this._backdrop._element}changeMode(t){this._setMode(t)}dispose(){c.off(window,"keydown",this.escHandler),this.options.sidenavBackdrop&&this._backdrop.dispose(),c.off(window,"hashchange",this.hashHandler),this._touch.dispose(),A.removeData(this._element,ws),this._element=null}hide(){this._emitEvents(!1),this._update(!1),this._options.sidenavBackdrop&&this.isBackdropVisible&&this._backdrop.hide()}show(){this._emitEvents(!0),this._update(!0),this._options.sidenavBackdrop&&this._options.sidenavMode==="over"&&this._backdrop.show()}toggle(){this._emitEvents(!this.isVisible),this._update(!this.isVisible)}toggleSlim(){this._setSlim(!this._slimCollapsed)}update(t){this._options=t,this._setup()}getBreakpoint(t){return this._transformBreakpointValuesToObject()[t]}_init(){this._didInit||(c.on(document,"click",fo,Ci.toggleSidenav()),this._didInit=!0)}_transformBreakpointValuesToObject(){return{sm:this.options.sidenavBreakpointSm,md:this.options.sidenavBreakpointMd,lg:this.options.sidenavBreakpointLg,xl:this.options.sidenavBreakpointXl,"2xl":this.options.sidenavBreakpoint2xl}}_setModeFromBreakpoints(){const t=window.innerWidth,r=this._transformBreakpointValuesToObject();if(t===void 0||!r)return;const a=typeof this.options.sidenavModeBreakpointOver=="number"?t-this.options.sidenavModeBreakpointOver:t-r[this.options.sidenavModeBreakpointOver],s=typeof this.options.sidenavModeBreakpointSide=="number"?t-this.options.sidenavModeBreakpointSide:t-r[this.options.sidenavModeBreakpointSide],l=typeof this.options.sidenavModeBreakpointPush=="number"?t-this.options.sidenavModeBreakpointPush:t-r[this.options.sidenavModeBreakpointPush],u=(m,g)=>m-g<0?-1:g-m<0?1:0,_=[a,s,l].filter(m=>m!=null&&m>=0).sort(u)[0];a>0&&a===_?(this._options.sidenavMode="over",this._options.sidenavHidden=!0):s>0&&s===_?this._options.sidenavMode="side":l>0&&l===_&&(this._options.sidenavMode="push")}_collapseItems(){this.navigation.forEach(t=>{d.find(Le,t).forEach(r=>{Qt.getInstance(r).hide()})})}_getOffsetValue(t,{index:r,property:a,offsets:s}){const l=this._getPxValue(this._initialContentStyle[r][s[a].property]),u=t?s[a].value:0;return l+u}_getProperty(...t){return t.map((r,a)=>a===0?r:r[0].toUpperCase().concat(r.slice(1))).join("")}_getPxValue(t){return t?parseFloat(t):0}_handleSwipe(t,r){r&&this._slimCollapsed&&this.options.sidenavSlim&&this.options.sidenavExpandable?this.toggleSlim():r||(this._slimCollapsed||!this.options.sidenavSlim||!this.options.sidenavExpandable?this.toggler&&Mt(this.toggler)&&this.toggle():this.toggleSlim())}_isActive(t,r){return r?r===t:t.attributes.href?new URL(t,window.location.href).href===window.location.href:!1}_isAllToBeCollapsed(){return d.find(Ng,this._element).filter(t=>t.getAttribute("aria-expanded")==="true").length===0}_isAllCollapsed(){return d.find(Le,this._element).filter(t=>Mt(t)).length===0}_initializeBackDrop(){if(!this.options.sidenavBackdrop)return;const t=this.options.sidenavBackdropClass?this.options.sidenavBackdropClass.split(" "):this.options.sidenavPosition?["opacity-50","transition-all","duration-300","ease-in-out",this.options.sidenavPosition,"top-0","left-0","z-50","bg-black/10","dark:bg-black-60","w-full","h-full",this._element.id]:null;return new Cr({isVisible:this.options.sidenavBackdrop,isAnimated:!0,rootElement:this._element.parentNode,backdropClasses:t,clickCallback:()=>this.hide()})}_updateBackdrop(t){if(this.options.sidenavMode==="over"){t?this._backdrop.show():this.isBackdropVisible&&this._backdrop.hide();return}this.isBackdropVisible&&this._backdrop.hide()}_setup(){this._setupTouch(),this.options.sidenavFocusTrap&&this._setupFocusTrap(),this._setupCollapse(),this.options.sidenavSlim&&this._setupSlim(),this._setupInitialStyling(),this._setupScrolling(),this.options.sidenavContent&&this._setupContent(),this._setupActiveState(),this._setupRippleEffect(),this.options.sidenavHidden||this._updateOffsets(!0,!0),this.options.sidenavMode==="over"&&this._setTabindex(!0)}_setupActiveState(){this._setActiveElements(),this.links.forEach(t=>{c.on(t,"click",()=>this._setActiveElements(t)),c.on(t,"keydown",r=>{r.keyCode===it&&this._setActiveElements(t)})}),c.on(window,"hashchange",this.hashHandler)}_setupCollapse(){this.navigation.forEach((t,r)=>{d.find(Le,t).forEach((a,s)=>this._setupCollapseList({list:a,index:s,menu:t,menuIndex:r}))})}_generateCollpaseID(t,r){return`sidenav-collapse-${this._ID}-${r}-${t}`}_setupCollapseList({list:t,index:r,menu:a,menuIndex:s}){const 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Qt(t,{toggle:!1,parent:this.options.sidenavAccordion?a:t});(t.dataset.teSidenavStateShow===""||t.dataset.teCollapseShow==="")&&this._rotateArrow(u,!1),c.on(u,"click",m=>{this._toggleCategory(m,_,t),this._tempSlim&&this._isAllToBeCollapsed()&&(this._setSlim(!0),this._tempSlim=!1),this.options.sidenavMode==="over"&&this._focusTrap&&this._focusTrap.update()}),c.on(t,"show.te.collapse",()=>this._rotateArrow(u,!1)),c.on(t,"hide.te.collapse",()=>this._rotateArrow(u,!0)),c.on(t,"shown.te.collapse",()=>{this.options.sidenavMode==="over"&&this._focusTrap&&this._focusTrap.update()}),c.on(t,"hidden.te.collapse",()=>{this._tempSlim&&this._isAllCollapsed()&&(this._setSlim(!0),this._tempSlim=!1),this.options.sidenavMode==="over"&&this._focusTrap&&this._focusTrap.update()})}_setupContent(){this._content=d.find(this.options.sidenavContent),this._content.forEach(t=>{const 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should be provided");$v(n,r,l,a,s)}function $v(n,t,r,a,s){var l=r[0],u=r[1],_=r[2],m=r[3],g=r[4],f=r[5];a===void 0&&(a=!0),s===void 0&&(s=!1);var x=n.element;n.reach[m]=null,x[_]<1&&(n.reach[m]="start"),x[_]>n[l]-n[u]-1&&(n.reach[m]="end"),t&&(x.dispatchEvent(Ds("ps-scroll-"+m)),t<0?x.dispatchEvent(Ds("ps-scroll-"+g)):t>0&&x.dispatchEvent(Ds("ps-scroll-"+f)),a&&Dv(n,m)),n.reach[m]&&(t||s)&&x.dispatchEvent(Ds("ps-"+m+"-reach-"+n.reach[m]))}function F(n){return parseInt(n,10)||0}function Lv(n){return Jt(n,"input,[contenteditable]")||Jt(n,"select,[contenteditable]")||Jt(n,"textarea,[contenteditable]")||Jt(n,"button,[contenteditable]")}function Nv(n){var t=Nt(n);return F(t.width)+F(t.paddingLeft)+F(t.paddingRight)+F(t.borderLeftWidth)+F(t.borderRightWidth)}var Ve={isWebKit:typeof document<"u"&&"WebkitAppearance"in document.documentElement.style,supportsTouch:typeof window<"u"&&("ontouchstart"in window||"maxTouchPoints"in window.navigator&&window.navigator.maxTouchPoints>0||window.DocumentTouch&&document instanceof window.DocumentTouch),supportsIePointer:typeof navigator<"u"&&navigator.msMaxTouchPoints,isChrome:typeof navigator<"u"&&/Chrome/i.test(navigator&&navigator.userAgent)};function Ht(n){var t=n.element,r=Math.floor(t.scrollTop),a=t.getBoundingClientRect();n.containerWidth=Math.round(a.width),n.containerHeight=Math.round(a.height),n.contentWidth=t.scrollWidth,n.contentHeight=t.scrollHeight,t.contains(n.scrollbarXRail)||(Nl(t,j.element.rail("x")).forEach(function(s){return Ye(s)}),t.appendChild(n.scrollbarXRail)),t.contains(n.scrollbarYRail)||(Nl(t,j.element.rail("y")).forEach(function(s){return Ye(s)}),t.appendChild(n.scrollbarYRail)),!n.settings.suppressScrollX&&n.containerWidth+n.settings.scrollXMarginOffset<n.contentWidth?(n.scrollbarXActive=!0,n.railXWidth=n.containerWidth-n.railXMarginWidth,n.railXRatio=n.containerWidth/n.railXWidth,n.scrollbarXWidth=Ml(n,F(n.railXWidth*n.containerWidth/n.contentWidth)),n.scrollbarXLeft=F((n.negativeScrollAdjustment+t.scrollLeft)*(n.railXWidth-n.scrollbarXWidth)/(n.contentWidth-n.containerWidth))):n.scrollbarXActive=!1,!n.settings.suppressScrollY&&n.containerHeight+n.settings.scrollYMarginOffset<n.contentHeight?(n.scrollbarYActive=!0,n.railYHeight=n.containerHeight-n.railYMarginHeight,n.railYRatio=n.containerHeight/n.railYHeight,n.scrollbarYHeight=Ml(n,F(n.railYHeight*n.containerHeight/n.contentHeight)),n.scrollbarYTop=F(r*(n.railYHeight-n.scrollbarYHeight)/(n.contentHeight-n.containerHeight))):n.scrollbarYActive=!1,n.scrollbarXLeft>=n.railXWidth-n.scrollbarXWidth&&(n.scrollbarXLeft=n.railXWidth-n.scrollbarXWidth),n.scrollbarYTop>=n.railYHeight-n.scrollbarYHeight&&(n.scrollbarYTop=n.railYHeight-n.scrollbarYHeight),Mv(t,n),n.scrollbarXActive?t.classList.add(j.state.active("x")):(t.classList.remove(j.state.active("x")),n.scrollbarXWidth=0,n.scrollbarXLeft=0,t.scrollLeft=n.isRtl===!0?n.contentWidth:0),n.scrollbarYActive?t.classList.add(j.state.active("y")):(t.classList.remove(j.state.active("y")),n.scrollbarYHeight=0,n.scrollbarYTop=0,t.scrollTop=0)}function Ml(n,t){return n.settings.minScrollbarLength&&(t=Math.max(t,n.settings.minScrollbarLength)),n.settings.maxScrollbarLength&&(t=Math.min(t,n.settings.maxScrollbarLength)),t}function Mv(n,t){var r={width:t.railXWidth},a=Math.floor(n.scrollTop);t.isRtl?r.left=t.negativeScrollAdjustment+n.scrollLeft+t.containerWidth-t.contentWidth:r.left=n.scrollLeft,t.isScrollbarXUsingBottom?r.bottom=t.scrollbarXBottom-a:r.top=t.scrollbarXTop+a,ct(t.scrollbarXRail,r);var s={top:a,height:t.railYHeight};t.isScrollbarYUsingRight?t.isRtl?s.right=t.contentWidth-(t.negativeScrollAdjustment+n.scrollLeft)-t.scrollbarYRight-t.scrollbarYOuterWidth-9:s.right=t.scrollbarYRight-n.scrollLeft:t.isRtl?s.left=t.negativeScrollAdjustment+n.scrollLeft+t.containerWidth*2-t.contentWidth-t.scrollbarYLeft-t.scrollbarYOuterWidth:s.left=t.scrollbarYLeft+n.scrollLeft,ct(t.scrollbarYRail,s),ct(t.scrollbarX,{left:t.scrollbarXLeft,width:t.scrollbarXWidth-t.railBorderXWidth}),ct(t.scrollbarY,{top:t.scrollbarYTop,height:t.scrollbarYHeight-t.railBorderYWidth})}function Rv(n){n.element,n.event.bind(n.scrollbarY,"mousedown",function(t){return t.stopPropagation()}),n.event.bind(n.scrollbarYRail,"mousedown",function(t){var r=t.pageY-window.pageYOffset-n.scrollbarYRail.getBoundingClientRect().top,a=r>n.scrollbarYTop?1:-1;n.element.scrollTop+=a*n.containerHeight,Ht(n),t.stopPropagation()}),n.event.bind(n.scrollbarX,"mousedown",function(t){return t.stopPropagation()}),n.event.bind(n.scrollbarXRail,"mousedown",function(t){var r=t.pageX-window.pageXOffset-n.scrollbarXRail.getBoundingClientRect().left,a=r>n.scrollbarXLeft?1:-1;n.element.scrollLeft+=a*n.containerWidth,Ht(n),t.stopPropagation()})}function Pv(n){Rl(n,["containerWidth","contentWidth","pageX","railXWidth","scrollbarX","scrollbarXWidth","scrollLeft","x","scrollbarXRail"]),Rl(n,["containerHeight","contentHeight","pageY","railYHeight","scrollbarY","scrollbarYHeight","scrollTop","y","scrollbarYRail"])}function Rl(n,t){var r=t[0],a=t[1],s=t[2],l=t[3],u=t[4],_=t[5],m=t[6],g=t[7],f=t[8],x=n.element,w=null,Z=null,Ce=null;function ne(Dt){Dt.touches&&Dt.touches[0]&&(Dt[s]=Dt.touches[0].pageY),x[m]=w+Ce*(Dt[s]-Z),Mh(n,g),Ht(n),Dt.stopPropagation(),Dt.type.startsWith("touch")&&Dt.changedTouches.length>1&&Dt.preventDefault()}function $e(){Rh(n,g),n[f].classList.remove(j.state.clicking),n.event.unbind(n.ownerDocument,"mousemove",ne)}function Ie(Dt,Lr){w=x[m],Lr&&Dt.touches&&(Dt[s]=Dt.touches[0].pageY),Z=Dt[s],Ce=(n[a]-n[r])/(n[l]-n[_]),Lr?n.event.bind(n.ownerDocument,"touchmove",ne):(n.event.bind(n.ownerDocument,"mousemove",ne),n.event.once(n.ownerDocument,"mouseup",$e),Dt.preventDefault()),n[f].classList.add(j.state.clicking),Dt.stopPropagation()}n.event.bind(n[u],"mousedown",function(Dt){Ie(Dt)}),n.event.bind(n[u],"touchstart",function(Dt){Ie(Dt,!0)})}function Bv(n){var t=n.element,r=function(){return Jt(t,":hover")},a=function(){return Jt(n.scrollbarX,":focus")||Jt(n.scrollbarY,":focus")};function s(l,u){var _=Math.floor(t.scrollTop);if(l===0){if(!n.scrollbarYActive)return!1;if(_===0&&u>0||_>=n.contentHeight-n.containerHeight&&u<0)return!n.settings.wheelPropagation}var m=t.scrollLeft;if(u===0){if(!n.scrollbarXActive)return!1;if(m===0&&l<0||m>=n.contentWidth-n.containerWidth&&l>0)return!n.settings.wheelPropagation}return!0}n.event.bind(n.ownerDocument,"keydown",function(l){if(!(l.isDefaultPrevented&&l.isDefaultPrevented()||l.defaultPrevented)&&!(!r()&&!a())){var u=document.activeElement?document.activeElement:n.ownerDocument.activeElement;if(u){if(u.tagName==="IFRAME")u=u.contentDocument.activeElement;else for(;u.shadowRoot;)u=u.shadowRoot.activeElement;if(Lv(u))return}var _=0,m=0;switch(l.which){case 37:l.metaKey?_=-n.contentWidth:l.altKey?_=-n.containerWidth:_=-30;break;case 38:l.metaKey?m=n.contentHeight:l.altKey?m=n.containerHeight:m=30;break;case 39:l.metaKey?_=n.contentWidth:l.altKey?_=n.containerWidth:_=30;break;case 40:l.metaKey?m=-n.contentHeight:l.altKey?m=-n.containerHeight:m=-30;break;case 32:l.shiftKey?m=n.containerHeight:m=-n.containerHeight;break;case 33:m=n.containerHeight;break;case 34:m=-n.containerHeight;break;case 36:m=n.contentHeight;break;case 35:m=-n.contentHeight;break;default:return}n.settings.suppressScrollX&&_!==0||n.settings.suppressScrollY&&m!==0||(t.scrollTop-=m,t.scrollLeft+=_,Ht(n),s(_,m)&&l.preventDefault())}})}function Hv(n){var t=n.element;function r(u,_){var m=Math.floor(t.scrollTop),g=t.scrollTop===0,f=m+t.offsetHeight===t.scrollHeight,x=t.scrollLeft===0,w=t.scrollLeft+t.offsetWidth===t.scrollWidth,Z;return Math.abs(_)>Math.abs(u)?Z=g||f:Z=x||w,Z?!n.settings.wheelPropagation:!0}function a(u){var _=u.deltaX,m=-1*u.deltaY;return(typeof _>"u"||typeof m>"u")&&(_=-1*u.wheelDeltaX/6,m=u.wheelDeltaY/6),u.deltaMode&&u.deltaMode===1&&(_*=10,m*=10),_!==_&&m!==m&&(_=0,m=u.wheelDelta),u.shiftKey?[-m,-_]:[_,m]}function s(u,_,m){if(!Ve.isWebKit&&t.querySelector("select:focus"))return!0;if(!t.contains(u))return!1;for(var g=u;g&&g!==t;){if(g.classList.contains(j.element.consuming))return!0;var f=Nt(g);if(m&&f.overflowY.match(/(scroll|auto)/)){var x=g.scrollHeight-g.clientHeight;if(x>0&&(g.scrollTop>0&&m<0||g.scrollTop<x&&m>0))return!0}if(_&&f.overflowX.match(/(scroll|auto)/)){var w=g.scrollWidth-g.clientWidth;if(w>0&&(g.scrollLeft>0&&_<0||g.scrollLeft<w&&_>0))return!0}g=g.parentNode}return!1}function l(u){var _=a(u),m=_[0],g=_[1];if(!s(u.target,m,g)){var f=!1;n.settings.useBothWheelAxes?n.scrollbarYActive&&!n.scrollbarXActive?(g?t.scrollTop-=g*n.settings.wheelSpeed:t.scrollTop+=m*n.settings.wheelSpeed,f=!0):n.scrollbarXActive&&!n.scrollbarYActive&&(m?t.scrollLeft+=m*n.settings.wheelSpeed:t.scrollLeft-=g*n.settings.wheelSpeed,f=!0):(t.scrollTop-=g*n.settings.wheelSpeed,t.scrollLeft+=m*n.settings.wheelSpeed),Ht(n),f=f||r(m,g),f&&!u.ctrlKey&&(u.stopPropagation(),u.preventDefault())}}typeof window.onwheel<"u"?n.event.bind(t,"wheel",l):typeof window.onmousewheel<"u"&&n.event.bind(t,"mousewheel",l)}function Vv(n){if(!Ve.supportsTouch&&!Ve.supportsIePointer)return;var t=n.element;function r(Ce,ne){var $e=Math.floor(t.scrollTop),Ie=t.scrollLeft,Dt=Math.abs(Ce),Lr=Math.abs(ne);if(Lr>Dt){if(ne<0&&$e===n.contentHeight-n.containerHeight||ne>0&&$e===0)return window.scrollY===0&&ne>0&&Ve.isChrome}else if(Dt>Lr&&(Ce<0&&Ie===n.contentWidth-n.containerWidth||Ce>0&&Ie===0))return!0;return!0}function a(Ce,ne){t.scrollTop-=ne,t.scrollLeft-=Ce,Ht(n)}var s={},l=0,u={},_=null;function m(Ce){return Ce.targetTouches?Ce.targetTouches[0]:Ce}function g(Ce){return Ce.pointerType&&Ce.pointerType==="pen"&&Ce.buttons===0?!1:!!(Ce.targetTouches&&Ce.targetTouches.length===1||Ce.pointerType&&Ce.pointerType!=="mouse"&&Ce.pointerType!==Ce.MSPOINTER_TYPE_MOUSE)}function f(Ce){if(g(Ce)){var ne=m(Ce);s.pageX=ne.pageX,s.pageY=ne.pageY,l=new Date().getTime(),_!==null&&clearInterval(_)}}function x(Ce,ne,$e){if(!t.contains(Ce))return!1;for(var Ie=Ce;Ie&&Ie!==t;){if(Ie.classList.contains(j.element.consuming))return!0;var Dt=Nt(Ie);if($e&&Dt.overflowY.match(/(scroll|auto)/)){var Lr=Ie.scrollHeight-Ie.clientHeight;if(Lr>0&&(Ie.scrollTop>0&&$e<0||Ie.scrollTop<Lr&&$e>0))return!0}if(ne&&Dt.overflowX.match(/(scroll|auto)/)){var ec=Ie.scrollWidth-Ie.clientWidth;if(ec>0&&(Ie.scrollLeft>0&&ne<0||Ie.scrollLeft<ec&&ne>0))return!0}Ie=Ie.parentNode}return!1}function w(Ce){if(g(Ce)){var ne=m(Ce),$e={pageX:ne.pageX,pageY:ne.pageY},Ie=$e.pageX-s.pageX,Dt=$e.pageY-s.pageY;if(x(Ce.target,Ie,Dt))return;a(Ie,Dt),s=$e;var Lr=new Date().getTime(),ec=Lr-l;ec>0&&(u.x=Ie/ec,u.y=Dt/ec,l=Lr),r(Ie,Dt)&&Ce.preventDefault()}}function Z(){n.settings.swipeEasing&&(clearInterval(_),_=setInterval(function(){if(n.isInitialized){clearInterval(_);return}if(!u.x&&!u.y){clearInterval(_);return}if(Math.abs(u.x)<.01&&Math.abs(u.y)<.01){clearInterval(_);return}if(!n.element){clearInterval(_);return}a(u.x*30,u.y*30),u.x*=.8,u.y*=.8},10))}Ve.supportsTouch?(n.event.bind(t,"touchstart",f),n.event.bind(t,"touchmove",w),n.event.bind(t,"touchend",Z)):Ve.supportsIePointer&&(window.PointerEvent?(n.event.bind(t,"pointerdown",f),n.event.bind(t,"pointermove",w),n.event.bind(t,"pointerup",Z)):window.MSPointerEvent&&(n.event.bind(t,"MSPointerDown",f),n.event.bind(t,"MSPointerMove",w),n.event.bind(t,"MSPointerUp",Z)))}var Wv=function(){return{handlers:["click-rail","drag-thumb","keyboard","wheel","touch"],maxScrollbarLength:null,minScrollbarLength:null,scrollingThreshold:1e3,scrollXMarginOffset:0,scrollYMarginOffset:0,suppressScrollX:!1,suppressScrollY:!1,swipeEasing:!0,useBothWheelAxes:!1,wheelPropagation:!0,wheelSpeed:1}},Fv={"click-rail":Rv,"drag-thumb":Pv,keyboard:Bv,wheel:Hv,touch:Vv},Zi=function(n,t){var r=this;if(t===void 0&&(t={}),typeof n=="string"&&(n=document.querySelector(n)),!n||!n.nodeName)throw new Error("no element is specified to initialize PerfectScrollbar");this.element=n,n.classList.add(j.main),this.settings=Wv();for(var a in t)this.settings[a]=t[a];this.containerWidth=null,this.containerHeight=null,this.contentWidth=null,this.contentHeight=null;var s=function(){return n.classList.add(j.state.focus)},l=function(){return n.classList.remove(j.state.focus)};this.isRtl=Nt(n).direction==="rtl",this.isRtl===!0&&n.classList.add(j.rtl),this.isNegativeScroll=function(){var m=n.scrollLeft,g=null;return n.scrollLeft=-1,g=n.scrollLeft<0,n.scrollLeft=m,g}(),this.negativeScrollAdjustment=this.isNegativeScroll?n.scrollWidth-n.clientWidth:0,this.event=new li,this.ownerDocument=n.ownerDocument||document,this.scrollbarXRail=Is(j.element.rail("x")),n.appendChild(this.scrollbarXRail),this.scrollbarX=Is(j.element.thumb("x")),this.scrollbarXRail.appendChild(this.scrollbarX),this.scrollbarX.setAttribute("tabindex",0),this.event.bind(this.scrollbarX,"focus",s),this.event.bind(this.scrollbarX,"blur",l),this.scrollbarXActive=null,this.scrollbarXWidth=null,this.scrollbarXLeft=null;var u=Nt(this.scrollbarXRail);this.scrollbarXBottom=parseInt(u.bottom,10),isNaN(this.scrollbarXBottom)?(this.isScrollbarXUsingBottom=!1,this.scrollbarXTop=F(u.top)):this.isScrollbarXUsingBottom=!0,this.railBorderXWidth=F(u.borderLeftWidth)+F(u.borderRightWidth),ct(this.scrollbarXRail,{display:"block"}),this.railXMarginWidth=F(u.marginLeft)+F(u.marginRight),ct(this.scrollbarXRail,{display:""}),this.railXWidth=null,this.railXRatio=null,this.scrollbarYRail=Is(j.element.rail("y")),n.appendChild(this.scrollbarYRail),this.scrollbarY=Is(j.element.thumb("y")),this.scrollbarYRail.appendChild(this.scrollbarY),this.scrollbarY.setAttribute("tabindex",0),this.event.bind(this.scrollbarY,"focus",s),this.event.bind(this.scrollbarY,"blur",l),this.scrollbarYActive=null,this.scrollbarYHeight=null,this.scrollbarYTop=null;var _=Nt(this.scrollbarYRail);this.scrollbarYRight=parseInt(_.right,10),isNaN(this.scrollbarYRight)?(this.isScrollbarYUsingRight=!1,this.scrollbarYLeft=F(_.left)):this.isScrollbarYUsingRight=!0,this.scrollbarYOuterWidth=this.isRtl?Nv(this.scrollbarY):null,this.railBorderYWidth=F(_.borderTopWidth)+F(_.borderBottomWidth),ct(this.scrollbarYRail,{display:"block"}),this.railYMarginHeight=F(_.marginTop)+F(_.marginBottom),ct(this.scrollbarYRail,{display:""}),this.railYHeight=null,this.railYRatio=null,this.reach={x:n.scrollLeft<=0?"start":n.scrollLeft>=this.contentWidth-this.containerWidth?"end":null,y:n.scrollTop<=0?"start":n.scrollTop>=this.contentHeight-this.containerHeight?"end":null},this.isAlive=!0,this.settings.handlers.forEach(function(m){return Fv[m](r)}),this.lastScrollTop=Math.floor(n.scrollTop),this.lastScrollLeft=n.scrollLeft,this.event.bind(this.element,"scroll",function(m){return r.onScroll(m)}),Ht(this)};Zi.prototype.update=function(){this.isAlive&&(this.negativeScrollAdjustment=this.isNegativeScroll?this.element.scrollWidth-this.element.clientWidth:0,ct(this.scrollbarXRail,{display:"block"}),ct(this.scrollbarYRail,{display:"block"}),this.railXMarginWidth=F(Nt(this.scrollbarXRail).marginLeft)+F(Nt(this.scrollbarXRail).marginRight),this.railYMarginHeight=F(Nt(this.scrollbarYRail).marginTop)+F(Nt(this.scrollbarYRail).marginBottom),ct(this.scrollbarXRail,{display:"none"}),ct(this.scrollbarYRail,{display:"none"}),Ht(this),fn(this,"top",0,!1,!0),fn(this,"left",0,!1,!0),ct(this.scrollbarXRail,{display:""}),ct(this.scrollbarYRail,{display:""}))};Zi.prototype.onScroll=function(n){this.isAlive&&(Ht(this),fn(this,"top",this.element.scrollTop-this.lastScrollTop),fn(this,"left",this.element.scrollLeft-this.lastScrollLeft),this.lastScrollTop=Math.floor(this.element.scrollTop),this.lastScrollLeft=this.element.scrollLeft)};Zi.prototype.destroy=function(){this.isAlive&&(this.event.unbindAll(),Ye(this.scrollbarX),Ye(this.scrollbarY),Ye(this.scrollbarXRail),Ye(this.scrollbarYRail),this.removePsClasses(),this.element=null,this.scrollbarX=null,this.scrollbarY=null,this.scrollbarXRail=null,this.scrollbarYRail=null,this.isAlive=!1)};Zi.prototype.removePsClasses=function(){this.element.className=this.element.className.split(" ").filter(function(n){return!n.match(/^ps([-_].+|)$/)}).join(" ")};const Ao="perfectScrollbar",Yv="perfect-scrollbar",$s="te.perfectScrollbar",St="te",It="ps",yo=[{te:`scrollX.${St}.${It}`,ps:"ps-scroll-x"},{te:`scrollY.${St}.${It}`,ps:"ps-scroll-y"},{te:`scrollUp.${St}.${It}`,ps:"ps-scroll-up"},{te:`scrollDown.${St}.${It}`,ps:"ps-scroll-down"},{te:`scrollLeft.${St}.${It}`,ps:"ps-scroll-left"},{te:`scrollRight.${St}.${It}`,ps:"ps-scroll-right"},{te:`scrollXEnd.${St}.${It}`,ps:"ps-x-reach-end"},{te:`scrollYEnd.${St}.${It}`,ps:"ps-y-reach-end"},{te:`scrollXStart.${St}.${It}`,ps:"ps-x-reach-start"},{te:`scrollYStart.${St}.${It}`,ps:"ps-y-reach-start"}],jv={handlers:["click-rail","drag-thumb","keyboard","wheel","touch"],wheelSpeed:1,wheelPropagation:!0,swipeEasing:!0,minScrollbarLength:null,maxScrollbarLength:null,scrollingThreshold:1e3,useBothWheelAxes:!1,suppressScrollX:!1,suppressScrollY:!1,scrollXMarginOffset:0,scrollYMarginOffset:0,positionRight:!0},Kv={handlers:"(string|array)",wheelSpeed:"number",wheelPropagation:"boolean",swipeEasing:"boolean",minScrollbarLength:"(number|null)",maxScrollbarLength:"(number|null)",scrollingThreshold:"number",useBothWheelAxes:"boolean",suppressScrollX:"boolean",suppressScrollY:"boolean",scrollXMarginOffset:"number",scrollYMarginOffset:"number",positionRight:"boolean"},zv={ps:"group/ps overflow-hidden [overflow-anchor:none] touch-none",railX:"group/x absolute bottom-0 h-[0.9375rem] hidden opacity-0 transition-[background-color,_opacity] duration-200 ease-linear motion-reduce:transition-none z-[1035] group-[&.ps--active-x]/ps:block group-hover/ps:opacity-60 group-focus/ps:opacity-60 group-[&.ps--scrolling-x]/ps:opacity-60 hover:!opacity-90 focus:!opacity-90 [&.ps--clicking]:!opacity-90 outline-none",railXColors:"group-[&.ps--active-x]/ps:bg-transparent hover:!bg-[#eee] focus:!bg-[#eee] [&.ps--clicking]:!bg-[#eee] dark:hover:!bg-[#555] dark:focus:!bg-[#555] dark:[&.ps--clicking]:!bg-[#555]",railXThumb:"absolute bottom-0.5 rounded-md h-1.5 group-focus/ps:opacity-100 group-active/ps:opacity-100 [transition:background-color_.2s_linear,_height_.2s_ease-in-out] group-hover/x:h-[11px] group-focus/x:h-[0.6875rem] group-[&.ps--clicking]/x:bg-[#999] group-[&.ps--clicking]/x:h-[11px] outline-none",railXThumbColors:"bg-[#aaa] group-hover/x:bg-[#999] group-focus/x:bg-[#999]",railY:"group/y absolute right-0 w-[0.9375rem] hidden opacity-0 transition-[background-color,_opacity] duration-200 ease-linear motion-reduce:transition-none z-[1035] group-[&.ps--active-y]/ps:block group-hover/ps:opacity-60 group-focus/ps:opacity-60 group-[&.ps--scrolling-y]/ps:opacity-60 hover:!opacity-90 focus:!opacity-90 [&.ps--clicking]:!opacity-90 outline-none",railYColors:"group-[&.ps--active-y]/ps:bg-transparent hover:!bg-[#eee] focus:!bg-[#eee] [&.ps--clicking]:!bg-[#eee] dark:hover:!bg-[#555] dark:focus:!bg-[#555] dark:[&.ps--clicking]:!bg-[#555]",railYThumb:"absolute right-0.5 rounded-md w-1.5 group-focus/ps:opacity-100 group-active/ps:opacity-100 [transition:background-color_.2s_linear,_width_.2s_ease-in-out,_opacity] group-hover/y:w-[11px] group-focus/y:w-[0.6875rem] group-[&.ps--clicking]/y:w-[11px] outline-none",railYThumbColors:"bg-[#aaa] group-hover/y:bg-[#999] group-focus/y:bg-[#999] group-[&.ps--clicking]/y:bg-[#999]"},Uv={ps:"string",railX:"string",railXColors:"string",railXThumb:"string",railXThumbColors:"string",railY:"string",railYColors:"string",railYThumb:"string",railYThumbColors:"string"};class xr{constructor(t,r={},a={}){this._element=t,this._options=this._getConfig(r),this._classes=this._getClasses(a),this.perfectScrollbar=null,this._observer=null,this._psClasses=[{ps:"ps__rail-x",te:this._classes.railX,teColor:this._classes.railXColors},{ps:"ps__rail-y",te:this._classes.railY,teColor:this._classes.railYColors},{ps:"ps__thumb-x",te:this._classes.railXThumb,teColor:this._classes.railXThumbColors},{ps:"ps__thumb-y",te:this._classes.railYThumb,teColor:this._classes.railYThumbColors}],this._element&&(A.setData(t,$s,this),h.addClass(this._element,Yv)),this.init()}static get NAME(){return Ao}get railX(){return d.findOne(".ps__rail-x",this._element)}get railY(){return d.findOne(".ps__rail-y",this._element)}_getConfig(t){const r=h.getDataAttributes(this._element);return r.handlers!==void 0&&(r.handlers=r.handlers.split(" ")),t={...jv,...r,...t},I(Ao,t,Kv),t}_getClasses(t){const r=h.getDataClassAttributes(this._element);return t={...zv,...r,...t},I(Ao,t,Uv),t}dispose(){this._options.positionRight&&this._observer.disconnect(),A.removeData(this._element,$s),this._element=null,this._dataAttrOptions=null,this._options=null,this.perfectScrollbar.destroy(),this.removeEvent(yo),this.perfectScrollbar=null}init(){if(this.perfectScrollbar=new Zi(this._element,this._options),this._addPerfectScrollbarStyles(),this._updateScrollPosition(),this.perfectScrollbar.update(),this._initEvents(yo),this._options.positionRight){this._observer=new ResizeObserver(()=>{setTimeout(()=>{this._updateScrollPosition()},100)});const t={attributes:!0,attributeFilter:["class","className"]};this._observer.observe(this._element,t)}}_updateScrollPosition(){const t=getComputedStyle(this._element).getPropertyValue("height"),r=getComputedStyle(this._element).getPropertyValue("width");this.railX&&(this.railX.style.transform=`translateY(calc(-100% + ${this._canTransform(t)?t:"0px"}))`),this.railY&&(this.railY.style.transform=`translateX(calc(-100% + ${this._canTransform(r)?r:"0px"}))`)}_canTransform(t){return t&&t.includes("px")}update(){return this.perfectScrollbar.update()}_initEvents(t=[]){t.forEach(({ps:r,te:a})=>c.on(this._element,r,s=>c.trigger(this._element,a,{e:s})))}_addPerfectScrollbarStyles(){this._psClasses.forEach(t=>{const r=d.findOne(`.${t.ps}`,this._element);h.addClass(r,t.te),h.addClass(r,t.teColor)}),h.addClass(this._element,this._classes.ps),h.removeClass(this._element,"ps")}removeEvent(t){let r=[];typeof t=="string"&&(r=yo.filter(({te:a})=>a===t)),r.forEach(({ps:a,te:s})=>{c.off(this._element,a),c.off(this._element,s)})}static jQueryInterface(t){return this.each(function(){let r=A.getData(this,$s);const a=typeof t=="object"&&t;if(!(!r&&/dispose|hide/.test(t))&&(r||(r=new xr(this,a)),typeof t=="string")){if(typeof r[t]>"u")throw new TypeError(`No method named "${t}"`);r[t]()}})}static getInstance(t){return A.getData(t,$s)}static getOrCreateInstance(t,r={}){return this.getInstance(t)||new this(t,typeof r=="object"?r:null)}}const Bh=xr;$("div");const xA=n=>{gc(()=>{const t=mc();if(t){const r=n.NAME,a=t.fn[r];t.fn[r]=n.jQueryInterface,t.fn[r].Constructor=n,t.fn[r].noConflict=()=>(t.fn[r]=a,n.jQueryInterface)}})},OA=(n,t)=>{c.on(document,`click.te.${n.NAME}`,t,function(r){r.preventDefault(),n.getOrCreateInstance(this).toggle()})},SA=(n,t)=>{c.on(document,`click.te.${n.NAME}.data-api`,t,function(r){["A","AREA"].includes(this.tagName)&&r.preventDefault(),!be(this)&&n.getOrCreateInstance(this).show()})},IA=(n,t)=>{c.on(document,`click.te.${n.NAME}.data-api`,t,function(r){const a=te(this);if(["A","AREA"].includes(this.tagName)&&r.preventDefault(),be(this))return;c.one(a,n.EVENT_HIDDEN,()=>{Mt(this)&&this.focus()});const s=d.findOne(n.OPEN_SELECTOR);s&&s!==a&&n.getInstance(s).hide(),n.getOrCreateInstance(a).toggle(this)})},DA=(n,t)=>{c.on(document,`click.te.${n.NAME}`,t,r=>{r.preventDefault();const a=r.target.closest(t);n.getOrCreateInstance(a).toggle()})},$A=(n,t)=>{c.on(document,`click.te.${n.NAME}`,t,function(r){const a=te(this);["A","AREA"].includes(this.tagName)&&r.preventDefault(),c.one(a,n.EVENT_SHOW,l=>{l.defaultPrevented||c.one(a,n.EVENT_HIDDEN,()=>{Mt(this)&&this.focus()})});const s=d.findOne(`[${n.OPEN_SELECTOR}="true"]`);s&&n.getInstance(s).hide(),n.getOrCreateInstance(a).toggle(this)})},LA=(n,t)=>{c.one(document,"mousedown",t,n.autoInitial(new n))},NA=(n,t)=>{c.on(document,`click.te.${n.NAME}.data-api`,t,function(r){(r.target.tagName==="A"||r.delegateTarget&&r.delegateTarget.tagName==="A")&&r.preventDefault();const a=lr(this);d.find(a).forEach(s=>{n.getOrCreateInstance(s,{toggle:!1}).toggle()})})},MA=(n,t)=>{[].slice.call(document.querySelectorAll(t)).map(function(r){return new n(r)})},RA=(n,t)=>{[].slice.call(document.querySelectorAll(t)).map(function(r){return new n(r)})},PA=(n,t)=>{d.find(t).forEach(r=>{new n(r)}),c.on(document,`click.te.${n.NAME}.data-api`,`${t} img:not([data-te-lightbox-disabled])`,n.toggle())},BA=(n,t)=>{const r=l=>l[0]==="{"&&l[l.length-1]==="}"||l[0]==="["&&l[l.length-1]==="]",a=l=>typeof l!="string"?l:r(l)?JSON.parse(l.replace(/'/g,'"')):l,s=l=>{const u={};return Object.keys(l).forEach(_=>{if(_.match(/dataset.*/)){const m=_.slice(7,8).toLowerCase().concat(_.slice(8));u[m]=a(l[_])}}),u};d.find(t).forEach(l=>{if(h.getDataAttribute(l,"chart")!=="bubble"&&h.getDataAttribute(l,"chart")!=="scatter"){const u=h.getDataAttributes(l),_={data:{datasets:[s(u)]}};return u.chart&&(_.type=u.chart),u.labels&&(_.data.labels=JSON.parse(u.labels.replace(/'/g,'"'))),new n(l,{..._,...wi[_.type]})}return null})};class HA{constructor(){this.inits=[]}get initialized(){return this.inits}isInited(t){return this.inits.includes(t)}add(t){this.isInited(t)||this.inits.push(t)}}const ar=new HA,Ni={alert:{name:"Alert",selector:"[data-te-alert-init]",isToggler:!1},animation:{name:"Animate",selector:"[data-te-animation-init]",isToggler:!1},carousel:{name:"Carousel",selector:"[data-te-carousel-init]",isToggler:!1},chips:{name:"ChipsInput",selector:"[data-te-chips-input-init]",isToggler:!1},chip:{name:"Chip",selector:"[data-te-chip-init]",isToggler:!1,onInit:"init"},datepicker:{name:"Datepicker",selector:"[data-te-datepicker-init]",isToggler:!1},datetimepicker:{name:"Datetimepicker",selector:"[data-te-date-timepicker-init]",isToggler:!1},input:{name:"Input",selector:"[data-te-input-wrapper-init]",isToggler:!1},perfectScrollbar:{name:"PerfectScrollbar",selector:"[data-te-perfect-scrollbar-init]",isToggler:!1},rating:{name:"Rating",selector:"[data-te-rating-init]",isToggler:!1},scrollspy:{name:"ScrollSpy",selector:"[data-te-spy='scroll']",isToggler:!1},select:{name:"Select",selector:"[data-te-select-init]",isToggler:!1},sidenav:{name:"Sidenav",selector:"[data-te-sidenav-init]",isToggler:!1},stepper:{name:"Stepper",selector:"[data-te-stepper-init]",isToggler:!1},timepicker:{name:"Timepicker",selector:"[data-te-timepicker-init]",isToggler:!1},toast:{name:"Toast",selector:"[data-te-toast-init]",isToggler:!1},datatable:{name:"Datatable",selector:"[data-te-datatable-init]"},popconfirm:{name:"Popconfirm",selector:"[data-te-toggle='popconfirm']"},validation:{name:"Validation",selector:"[data-te-validation-init]"},smoothScroll:{name:"SmoothScroll",selector:"a[data-te-smooth-scroll-init]"},lazyLoad:{name:"LazyLoad",selector:"[data-te-lazy-load-init]"},clipboard:{name:"Clipboard",selector:"[data-te-clipboard-init]"},infiniteScroll:{name:"InfiniteScroll",selector:"[data-te-infinite-scroll-init]"},loadingManagement:{name:"LoadingManagement",selector:"[data-te-loading-management-init]"},sticky:{name:"Sticky",selector:"[data-te-sticky-init]"},multiRangeSlider:{name:"MultiRangeSlider",selector:"[data-te-multi-range-slider-init]"},chart:{name:"Chart",selector:"[data-te-chart]",isToggler:!1,advanced:BA},button:{name:"Button",selector:"[data-te-toggle='button']",isToggler:!0,callback:DA},collapse:{name:"Collapse",selector:"[data-te-collapse-init]",isToggler:!0,callback:NA},dropdown:{name:"Dropdown",selector:"[data-te-dropdown-toggle-ref]",isToggler:!0,callback:OA},modal:{name:"Modal",selector:"[data-te-toggle='modal']",isToggler:!0,callback:$A},ripple:{name:"Ripple",selector:"[data-te-ripple-init]",isToggler:!0,callback:LA},offcanvas:{name:"Offcanvas",selector:"[data-te-offcanvas-toggle]",isToggler:!0,callback:IA},tab:{name:"Tab",selector:"[data-te-toggle='tab'], [data-te-toggle='pill'], [data-te-toggle='list']",isToggler:!0,callback:SA},tooltip:{name:"Tooltip",selector:"[data-te-toggle='tooltip']",isToggler:!1,callback:MA},popover:{name:"Popover",selector:"[data-te-toggle='popover']",isToggler:!0,callback:RA},lightbox:{name:"Lightbox",selector:"[data-te-lightbox-init]",isToggler:!0,callback:PA},touch:{name:"Touch",selector:"[data-te-touch-init]"}},VA=n=>Ni[n.NAME]||null,WA=(n,t)=>{if(!n||!t.allowReinits&&ar.isInited(n.NAME))return;ar.add(n.NAME);const r=VA(n),a=(r==null?void 0:r.isToggler)||!1;if(xA(n),r!=null&&r.advanced){r==null||r.advanced(n,r==null?void 0:r.selector);return}if(a){r==null||r.callback(n,r==null?void 0:r.selector);return}d.find(r==null?void 0:r.selector).forEach(s=>{let l=n.getInstance(s);l||(l=new n(s),r!=null&&r.onInit&&l[r.onInit]())})},FA=(n,t)=>{n.forEach(r=>WA(r,t))},YA={allowReinits:!1,checkOtherImports:!1},qA=(n,t={})=>{t={...YA,...t};const r=Object.keys(Ni).map(a=>{if(document.querySelector(Ni[a].selector)){const s=n[Ni[a].name];return!s&&!ar.isInited(a)&&t.checkOtherImports&&console.warn(`Please import ${Ni[a].name} from "tw-elements" package and add it to a object parameter inside "initTE" function`),s}});FA(r,t)},preambule=`\\usepackage{mathtools,amssymb,amsfonts,mathrsfs} 

\\usepackage{fontspec}
\\usepackage{unicode-math}
\\setmainfont{Arial}
\\setmathfont{STIX Two Math}

%%% COULEURS %%%
\\usepackage[table,svgnames]{xcolor}
\\definecolor{nombres}{cmyk}{0,.8,.95,0}
\\definecolor{gestion}{cmyk}{.75,1,.11,.12}
\\definecolor{gestionbis}{cmyk}{.75,1,.11,.12}
\\definecolor{grandeurs}{cmyk}{.02,.44,1,0}
\\definecolor{geo}{cmyk}{.62,.1,0,0}
\\definecolor{algo}{cmyk}{.69,.02,.36,0}
\\definecolor{correction}{cmyk}{.63,.23,.93,.06}
\\arrayrulecolor{couleur_theme} % Couleur des filets des tableaux

\\usepackage[autolanguage,np]{numprint}

\\newcommand\\degree{\\degres}

\\usepackage[most]{tcolorbox}
\\tcbuselibrary{documentation}

%%%%%%%% Modification paramétrage pour footnotes
% Le paquet semble déjà appelé en amont, curieux qu'il n'y ait pas eu de clash
% avec l'appel ci-dessous mais seulement quand j'ai essayé de l'inclure avec l'option lualatex

% \\usepackage{hyperref}
% Parametrages
\\hypersetup{
    colorlinks=true,% On active la couleur pour les liens. Couleur par défaut rouge
    linkcolor=black,% On définit la couleur pour les liens internes
    % filecolor=magenta,% On définit la couleur pour les liens vers les fichiers locaux      
    urlcolor=black,% On définit la couleur pour les liens vers des sites web
    % pdftitle={Puissance Quatre},% On définit un titre pour le document pdf
    % pdfpagemode=FullScreen,% On fixe l'affichage par défaut à plein écran
    }
% Pour avoir les numérotations arabic y compris dans les environnements tcolorbox
\\renewcommand{\\thempfootnote}{\\arabic{mpfootnote}}
%%%%%%%%
\\usepackage{multicol} 
\\usepackage{calc}

\\usepackage{enumitem}
\\usepackage{graphicx}
\\usepackage{tabularx}

\\setlength{\\parindent}{0mm}
\\renewcommand{\\arraystretch}{1.5}
\\renewcommand{\\labelenumi}{\\textbf{\\theenumi{}.}}
\\renewcommand{\\labelenumii}{\\textbf{\\theenumii{}.}}
\\setlength{\\fboxsep}{3mm}

\\setlength{\\headheight}{14.5pt}

\\setlength{\\premulticols}{0pt}

\\newcounter{ExoMA}

\\newlength{\\parindentMA}%
\\setlength{\\parindentMA}{\\parindent}
\\addtolength{\\parindentMA}{30pt}

\\usepackage{simplekv}

\\setKVdefault[Theme]{Coopmath,Classiques=false,CANs=false}
\\defKV[Theme]{Classique=\\setKV[Theme]{Coopmath=false}\\setKV[Theme]{Classiques}}
\\defKV[Theme]{CAN=\\setKV[Theme]{Coopmath=false}\\setKV[Theme]{CANs}}

\\usepackage{fancyhdr}
\\fancyhead[C]{}
\\fancyfoot{}

\\def\\bla{}

\\NewDocumentCommand\\Theme{o m m m m}{%
  \\useKVdefault[Theme]%
  \\setKV[Theme]{#1}%
  \\ifboolKV[Theme]{CANs}{%
    \\usepackage[left=1.5cm,right=1.5cm,top=2cm,bottom=2cm]{geometry}%
    \\fancypagestyle{premierePage}{%
      \\fancyhead[C]{\\textsc{\\ifx\\bla#2\\bla Course aux nombres\\else#2\\fi}}%
      \\fancyfoot[R]{\\scriptsize Coopmaths.fr -- CC-BY-SA}%
      \\setlength{\\headheight}{14.5pt}%
      \\NewDocumentCommand\\dureeCan{}{\\ifx\\bla#4\\bla 9 minutes\\else #4\\fi}
      \\NewDocumentCommand\\titreSujetCan{}{\\ifx\\bla#3\\bla\\else\\textbf{#3}\\fi}
    }%
    \\pagestyle{premierePage}
    \\colorlet{couleur_theme}{black}%
    \\colorlet{couleur_numerotation}{couleur_theme}%
    \\let\\EXO\\EXOCan\\let\\endEXO\\endEXOCan%
  }{%
    \\renewcommand{\\headrulewidth}{0pt}
    \\renewcommand{\\footrulewidth}{0pt}
    \\pagestyle{fancy}
    \\ifboolKV[Theme]{Classiques}{%
      \\usepackage[left=0.65cm,right=0.65cm,top=2cm,bottom=1.5cm]{geometry}
      \\let\\EXO\\EXOlibre\\let\\endEXO\\endEXOlibre%
      \\colorlet{couleur_theme}{black}%
      \\colorlet{couleur_numerotation}{couleur_theme}%
      \\fancyhead[C]{\\bfseries #3}
      \\fancyhead[L]{\\bfseries #4}
      \\fancyfoot[R]{#5}
    }{%
      \\usepackage[left=1.5cm,right=1.5cm,top=4cm,bottom=2cm]{geometry}
      \\theme{#2}{#3}{#4}{#5}%
      \\let\\EXO\\EXOcoop\\let\\endEXO\\endEXOcoop%
    }%
  }%
}%

\\NewDocumentEnvironment{EXOCan}{m m +b}{%
  #3
}

\\NewDocumentEnvironment{EXOcoop}{m m +b}{%
  \\begin{tcolorbox}[%
    enhanced,
    breakable,
    colback=white,
    colframe=white,
    coltitle=black,
    title=\\IfNoValueTF{#1}{}{\\textmd{#1}},%
    overlay unbroken and first={%
      \\IfNoValueTF{#2}{}{%
        \\node[%
        fill=white,
        anchor=east,
        xshift=10pt,
        text=black
        ]
        at (frame.north east)
        {\\scriptsize #2};
      }
      \\node[anchor=west,xshift=-20pt,yshift=-15pt] at (frame.north west) {\\stepcounter{ExoMA}\\numb{\\arabic{ExoMA}}};
    }
    ]
    #3
  \\end{tcolorbox}
}

\\NewDocumentEnvironment{EXOlibre}{m m +b}{%
  \\begin{tcolorbox}[%
    enhanced,
    breakable,
    colback=white,
    colframe=white,%couleur_theme,
    coltitle=black,
    title=\\stepcounter{ExoMA}\\textbf{Exercice \\arabic{ExoMA}},%
    ]
    \\IfNoValueTF{#1}{}{#1\\par}%
    #3
  \\end{tcolorbox}%
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% SPÉCIFIQUE SUJETS CAN                  %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\\usepackage{longtable}

\\tikzset{
  mybox/.style={
    rectangle,
    drop shadow, 
    inner sep=17pt,
    draw=gray,
    shade,
    top color=gray,
    every shadow/.append style={fill=gray!40}, 
    bottom color=gray!20
    }
  }
  
  \\newcommand\\MyBox[2][]{%
    \\tikz\\node[mybox,#1] {#2}; 
  }
  % Un compteur pour les questions CAN
  \\newcounter{nbEx}
  % Pour travailler avec les compteurs
  \\usepackage{totcount}
  \\regtotcounter{nbEx}  

  % Une checkmark !
  \\def\\myCheckmark{\\tikz\\fill[scale=0.4](0,.35) -- (.25,0) -- (1,.7) -- (.25,.15) -- cycle;}  
  % Repiqué sans vergogne dans lemanuel TikZ pour l'impatient
  \\def\\arete{3}   \\def\\epaisseur{5}   \\def\\rayon{2}

  \\newcommand{\\ruban}{(0,0)
    ++(0:0.57735*\\arete-0.57735*\\epaisseur+2*\\rayon)
    ++(-30:\\epaisseur-1.73205*\\rayon)
    arc (60:0:\\rayon)   -- ++(90:\\epaisseur)
    arc (0:60:\\rayon)   -- ++(150:\\arete)
    arc (60:120:\\rayon) -- ++(210:\\epaisseur)
    arc (120:60:\\rayon) -- cycle}

  \\newcommand{\\mobiusCan}{
    % Repiqué sans vergogne dans lemanuel TikZ pour l'impatient
    \\begin{tikzpicture}[very thick,top color=white,bottom color=gray,scale=1.2]
      \\shadedraw \\ruban;
      \\shadedraw [rotate=120] \\ruban;
      \\shadedraw [rotate=-120] \\ruban;
      \\draw (-60:4) node[scale=5,rotate=30]{CAN};
      \\draw (180:4) node[scale=3,rotate=-90]{MathALEA};
      \\clip (0,-6) rectangle (6,6); % pour croiser
      \\shadedraw  \\ruban;
      \\draw (60:4) node [gray,xscale=2.5,yscale=2.5,rotate=-30]{CoopMaths};
    \\end{tikzpicture} 
  }
  
  \\newcommand{\\pageDeGardeCan}[1]{
    % #1 --> nom du compteur pour le nombre de questions

    %\\vspace*{10mm}
    \\textsc{Nom} : \\makebox[.35\\linewidth]{\\dotfill} \\hfill \\textsc{Prénom} : \\makebox[.35\\linewidth]{\\dotfill}

    \\vspace{10mm}
    \\textsc{Classe} : \\makebox[.33\\linewidth]{\\dotfill} \\hfill
    \\MyBox{\\Large\\textsc{Score} : \\makebox[.15\\linewidth]{\\dotfill} / \\total{#1}}      
    \\par\\medskip \\hrulefill \\par
    \\myCheckmark \\textit{\\textbf{Durée :  \\dureeCan}}

    \\smallskip
    \\myCheckmark \\textit{L'épreuve comporte \\total{#1} questions.}

    \\smallskip  
    \\myCheckmark \\textit{L'usage de la calculatrice et du brouillon est interdit.}

    \\smallskip
    \\myCheckmark \\textit{Il n'est pas permis d'écrire des calculs intermédiaires.}
    \\par \\hrulefill \\par\\vspace{5mm}
    \\begin{center}
      \\textsc{\\titreSujetCan}
      \\par\\vspace{5mm}
      \\mobiusCan
    \\end{center}
  }

  \\newlength{\\Largeurcp}
  
  % Structure globale pour les tableaux des livrets CAN
  \\NewDocumentEnvironment{TableauCan}{b}{%
    % #1 --> corps de tableau
    \\setlength{\\Largeurcp}{0.35\\textwidth-8\\tabcolsep}
    \\renewcommand*{\\arraystretch}{2.5}
    \\begin{spacing}{1.1}
      \\begin{longtable}{|>{\\columncolor{gray!20}\\centering}m{0.05\\textwidth}|>{\\centering}m{0.45\\textwidth}|>{\\centering}m{\\Largeurcp}|>{\\centering}p{0.1\\textwidth}|}%
        \\hline
        \\rowcolor{gray!20}\\#&Énoncé&Réponse&Jury\\tabularnewline \\hline
        % \\endfirsthead
        % \\hline
        % \\rowcolor{gray!20}\\#&Énoncé&Réponse&Jury\\tabularnewline \\hline
        % \\endhead
        #1
      \\end{longtable}
    \\end{spacing}
    \\renewcommand*{\\arraystretch}{1}
  }{}

%%% MISE EN PAGE %%%

\\usepackage{setspace}

\\usepackage{tkz-tab,tkz-fct}
\\usepackage{tkz-euclide}
\\usepackage{pgf}%
\\usepackage{pgfplots}
\\pgfplotsset{compat=1.18}
\\usetikzlibrary{babel,arrows,calc,fit,patterns,plotmarks,shapes.geometric,shapes.misc,shapes.symbols,shapes.arrows,shapes.callouts, shapes.multipart, shapes.gates.logic.US,shapes.gates.logic.IEC, er, automata,backgrounds,chains,topaths,trees,petri,mindmap,matrix, calendar, folding,fadings,through,positioning,scopes,decorations.fractals,decorations.shapes,decorations.text,decorations.pathmorphing,decorations.pathreplacing,decorations.footprints,decorations.markings,shadows}

\\spaceskip=2\\fontdimen2\\font plus 3\\fontdimen3\\font minus3\\fontdimen4\\font\\relax %Pour doubler l'espace entre les mots
\\newcommand\\numb[1]{ % Dessin autour du numéro d'exercice
  \\begin{tikzpicture}[overlay,scale=.8]%,yshift=-.3cm
    \\draw[fill=couleur_numerotation,couleur_numerotation](-.3,0)rectangle(.5,.8);
    \\draw[line width=.05cm,couleur_numerotation,fill=white] (0,0)--(.5,.5)--(1,0)--(.5,-.5)--cycle;
    \\draw (0.5,0) node[anchor=center,couleur_numerotation]{\\large\\bfseries#1};
    \\draw (-.4,.8) node[white,anchor=north west]{\\bfseries EX}; 
  \\end{tikzpicture}
}

% echelle pour le dé
\\def\\globalscale {0.04}
% abscisse initiale pour les chevrons
\\def\\xini {3}

\\newcommand\\theme[4]{%
  \\fancyhead[C]{%
    % Tracé du dé
    \\begin{tikzpicture}[y=0.80pt, x=0.80pt, yscale=-\\globalscale, xscale=\\globalscale,remember picture, overlay,transform canvas={xshift=-0.5\\linewidth,yshift=2.7cm},fill=couleur_theme]%,xshift=17cm,yshift=9.5cm
      %%%% Arc supérieur gauche%%%%
      \\path[fill](523,1424)..controls(474,1413)and(404,1372)..(362,1333)..controls(322,1295)and(313,1272)..(331,1254)..controls(348,1236)and(369,1245)..(410,1283)..controls(458,1328)and(517,1356)..(575,1362)..controls(635,1368)and(646,1375)..(643,1404)..controls(641,1428)and(641,1428)..(596,1430)..controls(571,1431)and(538,1428)..(523,1424)--cycle;
      %%%% Dé face supérieur%%%%
      \\path[fill](512,1272)..controls(490,1260)and(195,878)..(195,861)..controls(195,854)and(198,846)..(202,843)..controls(210,838)and(677,772)..(707,772)..controls(720,772)and(737,781)..(753,796)..controls(792,833)and(1057,1179)..(1057,1193)..controls(1057,1200)and(1053,1209)..(1048,1212)..controls(1038,1220)and(590,1283)..(551,1282)..controls(539,1282)and(521,1278)..(512,1272)--cycle;
      %%%% Dé faces gauche et droite%%%%
      \\path[fill](1061,1167)..controls(1050,1158)and(978,1068)..(900,967)..controls(792,829)and(756,777)..(753,756)--(748,729)--(724,745)..controls(704,759)and(660,767)..(456,794)..controls(322,813)and(207,825)..(200,822)..controls(193,820)and(187,812)..(187,804)..controls(188,797)and(229,688)..(279,563)..controls(349,390)and(376,331)..(391,320)..controls(406,309)and(462,299)..(649,273)..controls(780,254)and(897,240)..(907,241)..controls(918,243)and(927,249)..(928,256)..controls(930,264)and(912,315)..(889,372)..controls(866,429)and(848,476)..(849,477)..controls(851,479)and(872,432)..(897,373)..controls(936,276)and(942,266)..(960,266)..controls(975,266)and(999,292)..(1089,408)..controls(1281,654)and(1290,666)..(1290,691)..controls(1290,720)and(1104,1175)..(1090,1180)..controls(1085,1182)and (1071,1176)..(1061,1167)--cycle;
      %%%% Arc inférieur bas%%%%
      \\path[fill](1329,861)..controls(1316,848)and(1317,844)..(1339,788)..controls(1364,726)and(1367,654)..(1347,591)..controls(1330,539)and(1338,522)..(1375,526)..controls(1395,528)and(1400,533)..(1412,566)..controls(1432,624)and(1426,760)..(1401,821)..controls(1386,861)and(1380,866)..(1361,868)..controls(1348,870)and(1334,866)..(1329,861)--cycle;
      %%%% Arc inférieur gauche%%%%
      \\path[fill](196,373)..controls(181,358)and(186,335)..(213,294)..controls(252,237)and(304,190)..(363,161)..controls(435,124)and(472,127)..(472,170)..controls(472,183)and(462,192)..(414,213)..controls(350,243)and(303,283)..(264,343)..controls(239,383)and(216,393)..(196,373)--cycle;
    \\end{tikzpicture}
    \\begin{tikzpicture}[remember picture,overlay]
      \\node[anchor=north east,inner sep=0pt] at ($(current page.north east)+(0,-.8cm)$) {};
      \\node[anchor=east, fill=white] at ($(current page.north east)+(-18.8,-2.3cm)$) {\\footnotesize \\bfseries{MathALEA}};
    \\end{tikzpicture}
    \\begin{tikzpicture}[line cap=round,line join=round,remember picture, overlay, shift={(current page.north west)},yshift=-8.5cm]
      \\fill[fill=couleur_theme] (0,5) rectangle (21,6);
      \\fill[fill=couleur_theme] (\\xini,6)--(\\xini+1.5,6)--(\\xini+2.5,7)--(\\xini+1.5,8)--(\\xini,8)--(\\xini+1,7)-- cycle;
      \\fill[fill=couleur_theme] (\\xini+2,6)--(\\xini+2.5,6)--(\\xini+3.5,7)--(\\xini+2.5,8)--(\\xini+2,8)--(\\xini+3,7)-- cycle;  
      \\fill[fill=couleur_theme] (\\xini+3,6)--(\\xini+3.5,6)--(\\xini+4.5,7)--(\\xini+3.5,8)--(\\xini+3,8)--(\\xini+4,7)-- cycle;   
      \\node[color=white] at (10.5,5.5) {\\LARGE \\bfseries{ \\MakeUppercase{#4}}};
    \\end{tikzpicture}
    \\begin{tikzpicture}[remember picture,overlay]
      \\node[anchor=north east,inner sep=0pt] at ($(current page.north east)+(0,-.8cm)$) {};
      \\node[anchor=east, fill=white] at ($(current page.north east)+(-2,-1.5cm)$) {\\Huge \\textcolor{couleur_theme}{\\bfseries{\\#}} \\bfseries{#2} \\textcolor{couleur_theme}{\\bfseries \\MakeUppercase{#3}}};
    \\end{tikzpicture}
  }%
  \\fancyfoot[R]{%
    \\begin{tikzpicture}[remember picture,overlay]
      \\node[anchor=south east] at ($(current page.south east)+(-2,0.25cm)$) {\\scriptsize {\\bfseries \\href{https://coopmaths.fr/}{Coopmaths.fr} -- \\href{http://creativecommons.fr/licences/}{CC-BY-SA}}};
    \\end{tikzpicture}
    \\begin{tikzpicture}[line cap=round,line join=round,remember picture, overlay,xscale=0.5,yscale=0.5, shift={(current page.south west)},xshift=35.7cm,yshift=-6cm]
      \\fill[fill=couleur_theme] (\\xini,6)--(\\xini+1.5,6)--(\\xini+2.5,7)--(\\xini+1.5,8)--(\\xini,8)--(\\xini+1,7)-- cycle;
      \\fill[fill=couleur_theme] (\\xini+2,6)--(\\xini+2.5,6)--(\\xini+3.5,7)--(\\xini+2.5,8)--(\\xini+2,8)--(\\xini+3,7)-- cycle;  
      \\fill[fill=couleur_theme] (\\xini+3,6)--(\\xini+3.5,6)--(\\xini+4.5,7)--(\\xini+3.5,8)--(\\xini+3,8)--(\\xini+4,7)-- cycle;  
    \\end{tikzpicture}
  }
  \\fancyfoot[C]{}
  \\colorlet{couleur_theme}{#1}
  \\colorlet{couleur_numerotation}{couleur_theme}
  \\def\\iconeobjectif{icone-objectif-#1}
  \\def\\urliconeomethode{icone-methode-#1}
}%

%%%%%%% NOTATIONS DES ENSEMBLES %%%%%%%
\\newcommand\\R{\\mathbb{R}}
\\newcommand\\N{\\mathbb{N}}
\\newcommand\\D{\\mathbb{D}}
\\newcommand\\Z{\\mathbb{Z}}
\\newcommand\\Q{\\mathbb{Q}}

\\newcommand*\\tikzfootMA{%
  \\ifboolKV[Theme]{CANs}{
    \\begin{tikzpicture}[remember picture,overlay,shift=(current page.north west)]
      \\begin{scope}[x=\\textwidth-\\oddsidemargin,y=\\textheight+5pt]
        \\draw[correction,line width=4pt,dashed,dash pattern= on 10pt off 10pt,shift={(-\\oddsidemargin,\\topmargin)}] (0,0) rectangle (1,-1);
      \\end{scope}
    \\end{tikzpicture} 
  }{%
  \\ifboolKV[Theme]{Classiques}{%
  \\begin{tikzpicture}[remember picture,overlay,shift=(current page.south west)]
    \\begin{scope}[x={(current page.south east)},y={(current page.north west)}]
      \\draw[correction,line width=4pt,dashed,dash pattern= on 10pt off 10pt] ($(0,0)+(5mm,1cm)$) rectangle ($(1,1)+(-5mm,-1.75cm)$);
    \\end{scope}
  \\end{tikzpicture} 
  }{%
  \\begin{tikzpicture}[remember picture,overlay,shift=(current page.south west)]
    \\begin{scope}[x={(current page.south east)},y={(current page.north west)}]
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    \\end{scope}
  \\end{tikzpicture} 
  }%
  }
}

\\newenvironment{Correction}{%
  \\setcounter{ExoMA}{0}%
  \\cfoot{\\tikzfootMA}
}{}%

\\newcommand\\version[1]{
  \\fancyhead[R]{
    \\begin{tikzpicture}[remember picture,overlay]
    \\node[anchor=north east,inner sep=0pt] at ($(current page.north east)+(-.5,-.5cm)$) {\\large \\textcolor{couleur_theme}{\\bfseries V#1}};
    \\end{tikzpicture}
  }
}

\\newcommand\\dotfills[1][4cm]{\\makebox[#1]{\\dotfill}}

%%%%% NOMBRES PREMIERS %%%%%
\\usepackage{xlop} % JM pour les opérations
\\opset{voperator=bottom}
%%% Table des nombres premiers  %%%%
\\newcount\\primeindex
\\newcount\\tryindex
\\newif\\ifprime
\\newif\\ifagain
\\newcommand\\getprime[1]{%
  \\opcopy{2}{P0}%
  \\opcopy{3}{P1}%
  \\opcopy{5}{try}
  \\primeindex=2
  \\loop
  \\ifnum\\primeindex<#1\\relax
  \\testprimality
  \\ifprime
  \\opcopy{try}{P\\the\\primeindex}%
  \\advance\\primeindex by1
  \\fi
  \\opadd*{try}{2}{try}%
  \\ifnum\\primeindex<#1\\relax
  \\testprimality
  \\ifprime
  \\opcopy{try}{P\\the\\primeindex}%
  \\advance\\primeindex by1
  \\fi
  \\opadd*{try}{4}{try}%
  \\fi
  \\repeat
}
\\newcommand\\testprimality{%
  \\begingroup
  \\againtrue
  \\global\\primetrue
  \\tryindex=0
  \\loop
  \\opidiv*{try}{P\\the\\tryindex}{q}{r}%
  \\opcmp{r}{0}%
  \\ifopeq \\global\\primefalse \\againfalse \\fi
  \\opcmp{q}{P\\the\\tryindex}%
  \\ifoplt \\againfalse \\fi
  \\advance\\tryindex by1
  \\ifagain
  \\repeat
  \\endgroup
}

%%% Décomposition en nombres premiers %%%
\\newcommand\\primedecomp[2][nil]{%
  \\begingroup
  \\opset{#1}%
  \\opcopy{#2}{NbtoDecompose}%
  \\opabs{NbtoDecompose}{NbtoDecompose}%
  \\opinteger{NbtoDecompose}{NbtoDecompose}%
  \\opcmp{NbtoDecompose}{0}%
  \\ifopeq
  Je refuse de décomposer zéro.
  \\else
  \\setbox1=\\hbox{\\opdisplay{operandstyle.1}%
    {NbtoDecompose}}%
  {\\setbox2=\\box2{}}%
  \\count255=1
  \\primeindex=0
  \\loop
  \\opcmp{NbtoDecompose}{1}\\ifopneq
  \\opidiv*{NbtoDecompose}{P\\the\\primeindex}{q}{r}%
  \\opcmp{0}{r}\\ifopeq
  \\ifvoid2
  \\setbox2=\\hbox{%
    \\opdisplay{intermediarystyle.\\the\\count255}%
    {P\\the\\primeindex}}%
  \\else
  \\setbox2=\\vtop{%
    \\hbox{\\box2}
    \\hbox{%
      \\opdisplay{intermediarystyle.\\the\\count255}%
      {P\\the\\primeindex}}}
  \\fi
  \\opcopy{q}{NbtoDecompose}%
  \\advance\\count255 by1
  \\setbox1=\\vtop{%
    \\hbox{\\box1}
    \\hbox{%
      \\opdisplay{operandstyle.\\the\\count255}%
      {NbtoDecompose}}
  }%
  \\else
  \\advance\\primeindex by1
  \\fi
  \\repeat
  \\hbox{\\box1
    \\kern0.5\\opcolumnwidth
    \\opvline(0,0.75){\\the\\count255.25}
    \\kern0.5\\opcolumnwidth
    \\box2}%
  \\fi
  \\endgroup
}

\\usepackage{scratch3}
\\usepackage{ProfCollege} % à appeler avant le paquet cancel sinon option clash
\\usepackage{cancel}

\\usepackage[tikz]{bclogo}

%%%%%%% PSTRICKS %%%%%%%
\\usepackage{pstricks,pst-plot,pst-tree,pstricks-add}
\\usepackage{pst-eucl}% permet de faire des dessins de géométrie simplement
\\usepackage{pst-text}
\\usepackage{pst-node,pst-all}
\\usepackage{pst-func,pst-math,pst-bspline,pst-3dplot}  %%% POUR LE BAC %%%

\\renewcommand{\\pstEllipse}[5][]{% arc d'ellipse pour le sujet de Polynésie septembre 2013
  \\psset{#1}
  \\parametricplot{#4}{#5}{#2\\space t cos mul #3\\space t sin mul}
}

%%%%% TRACÉS DANS UN REPÈRE %%%%%
\\newcommand{\\vect}[1]{\\overrightarrow{\\,\\mathstrut#1\\,}}
\\def\\Oij{$\\left(\\text{O}~;~\\vect{\\imath},~\\vect{\\jmath}\\right)$}
\\def\\Oijk{$\\left(\\text{O}~;~\\vect{\\imath},~\\vect{\\jmath},~\\vect{k}\\right)$}
\\def\\Ouv{$\\left(\\text{O}~;~\\vect{u},~\\vect{v}\\right)$}

\\newcommand{\\e}{\\mathrm{\\,e\\,}} %%% POUR LE BAC %%% le e de l'exponentielle
\\newcommand{\\ds}{\\displaystyle} %%% POUR LE BAC %%%

%%%%% COMMANDES SPRECIFIQUES %%%%%
\\usepackage{esvect} %%% POUR LE BAC %%%
\\newcommand{\\vvt}[1]{\\vv{\\text{#1}}} %%% POUR LE BAC %%%
\\newcommand{\\vectt}[1]{\\overrightarrow{\\,\\mathstrut\\text{#1}\\,}} %%% POUR LE BAC %%%

\\usepackage{multirow} % fusionner plusieurs lignes de tableau
\\usepackage{diagbox} % des diagonales dans une cellule de tableau
\\usepackage{forest} % arbre en proba

%%%%% PROBABILITÉS %%%%%
% Structure servant à avoir l'événement et la probabilité.
\\def\\getEvene#1/#2\\endget{$#1$}
\\def\\getProba#1/#2\\endget{$#2$}

\\usepackage{pifont} % symboles
\\newcommand{\\textding}[1]{\\text{\\ding{#1}}}

\\usepackage{booktabs} % tableaux de qualité

\\usepackage[french]{babel}
\\usepackage{eurosym}
`;class Latex{constructor(){$2(this,"exercices");this.exercices=[]}addExercices(t){this.exercices.push(...t)}getContentsForAVersion(t,r=1){if(t==="ProfMaquette")return{content:this.getContentForAVersionProfMaquette(1,!1),contentCorr:""};if(t==="ProfMaquetteQrcode")return{content:this.getContentForAVersionProfMaquette(1,!0),contentCorr:""};let a="",s="";for(const l of this.exercices)if(l.typeExercice!=="statique"&&Object.prototype.hasOwnProperty.call(l,"listeQuestions")&&l!=null){const u=r>1?l.seed+r.toString():l.seed;l.seed=u,l.typeExercice==="simple"&&mathaleaHandleExerciceSimple(l,!1),seedrandom$1(u,{global:!0}),typeof l.nouvelleVersion=="function"&&l.nouvelleVersion()}if(t==="Can"){a+=`\\begin{TableauCan}
`,s+=`
\\begin{enumerate}`;for(const l of this.exercices)if(l!=null){for(let u=0;u<l.listeQuestions.length;u++)l.listeCanEnonces!=null&&l.listeCanEnonces[u]!==void 0&&l.listeCanReponsesACompleter!=null&&l.listeCanReponsesACompleter[u]!==void 0?a+=`\\thenbEx  \\addtocounter{nbEx}{1}& ${format(l.listeCanEnonces[u])} &  ${format(l.listeCanReponsesACompleter[u])} &\\tabularnewline \\hline
`:a+=`\\thenbEx  \\addtocounter{nbEx}{1}& ${format(l.listeQuestions[u])} &&\\tabularnewline \\hline
`;for(const u of l.listeCorrections)s+=`
\\item ${format(u)}`}s+=`
\\end{enumerate}
`,a+=`\\end{TableauCan}
\\addtocounter{nbEx}{-1}`,a=a.replace(/\n\s*\n/gm,"")}else for(const l of this.exercices)if(l.typeExercice==="statique")l.content===""?a+="% Cet exercice n'est pas disponible au format LaTeX":(t==="Coopmaths"?a+=`
\\begin{EXO}{${l.examen||""} ${l.mois||""} ${l.annee||""} ${l.lieu||""}}{}
`:t==="Classique"&&(a+=`
\\begin{EXO}{}{}
`),Number(l.nbCols)>1&&(a+=`\\begin{multicols}{${l.nbCols}}
`),a+=l.content,Number(l.nbCols)>1&&(a+=`
\\end{multicols}
`),a+=`
\\end{EXO}
`,s+=`
\\begin{EXO}{}{}
`,s+=l.contentCorr,s+=`
\\end{EXO}
`);else{s+=`
\\begin{EXO}{}{}
`,Number(l.nbColsCorr)>1&&(s+=`\\begin{multicols}{${l.nbColsCorr}}
`),Number(l.spacingCorr)>0?s+=`
\\begin{enumerate}[itemsep=${l.spacingCorr}em]`:s+=`
\\begin{enumerate}`;for(const u of l.listeCorrections)s+=`
\\item ${format(u)}`;s+=`
\\end{enumerate}
`,Number(l.nbColsCorr)>1&&(s+=`\\end{multicols}
`),s+=`
\\end{EXO}
`,a+=`
\\begin{EXO}{${format(l.consigne)}}{${String(l.id).replace(".js","")}}
`,a+=writeIntroduction(l.introduction),a+=writeInCols(writeQuestions(l.listeQuestions,l.spacing,!!l.listeAvecNumerotation,Number(l.nbCols)),Number(l.nbCols)),a+=`
\\end{EXO}
`}return{content:a,contentCorr:s}}getContentForAVersionProfMaquette(t=1,r=!1){let a="";for(const s of this.exercices){if(s.typeExercice==="statique")continue;const l=t>1?s.seed+t.toString():s.seed;s.seed=l,s.typeExercice==="simple"&&mathaleaHandleExerciceSimple(s,!1),seedrandom$1(l,{global:!0}),typeof s.nouvelleVersion=="function"&&s.nouvelleVersion()}for(const s of this.exercices)a+=`
% @see : ${getUrlFromExercice(s)}`,s.typeExercice==="statique"?s.content===""?a+="% Cet exercice n'est pas disponible au format LaTeX":(a+=`
\\begin{exercice}
`,a+=s.content,a+=`
\\end{exercice}
`,a+=`
\\begin{Solution}
`,a+=s.contentCorr,a+=`
\\end{Solution}
`):(a+=`
\\begin{exercice}
`,r&&(a+=`
\\begin{minipage}{0.75\\linewidth}`),a+=writeIntroduction(s.introduction),a+=`
`+format(s.consigne),a+=writeInCols(writeQuestions(s.listeQuestions,s.spacing,!!s.listeAvecNumerotation,Number(s.nbCols)),Number(s.nbCols)),r&&(a+=`
\\end{minipage}`,a+=`
\\begin{minipage}{0.20\\linewidth}`,a+=`
\\qrcode{${getUrlFromExercice(s)}&v=eleve&es=0211}`,a+=`
\\end{minipage}`),a+=`
\\end{exercice}
`,a+=`
\\begin{Solution}`,a+=writeInCols(writeQuestions(s.listeCorrections,s.spacingCorr,!!s.listeAvecNumerotation,Number(s.nbCols)),Number(s.nbColsCorr)),a+=`
\\end{Solution}
`);return a}async getContents(t,r=1,a="",s="",l=""){const u={content:"",contentCorr:""};if(t==="ProfMaquette")for(let _=1;_<r+1;_++){const m=this.getContentForAVersionProfMaquette(_,!1);u.content+=`
\\begin{Maquette}[Fiche, CorrigeFin]{Niveau=${s||" "},Classe=${l||" "},Date= ${r>1?"v"+_:" "} ,Theme=${a||"Exercices"}}
`,u.content+=m,u.content+=`
\\end{Maquette}`,u.contentCorr=""}else if(t==="ProfMaquetteQrcode")for(let _=1;_<r+1;_++){const m=this.getContentForAVersionProfMaquette(_,!0);u.content+=`
\\begin{Maquette}[Fiche, CorrigeFin]{Niveau=${s||" "},Classe=${l||" "},Date= ${r>1?"v"+_:" "} ,Theme=${a||"Exercices"}}
`,u.content+=m,u.content+=`
\\end{Maquette}`,u.contentCorr=""}else for(let _=1;_<r+1;_++){const m=this.getContentsForAVersion(t,_);_>1&&(u.content+=`
\\clearpage`,u.content+=`
\\setcounter{ExoMA}{0}`,u.contentCorr+=`
\\clearpage`,u.contentCorr+=`
\\setcounter{ExoMA}{0}`),r>1&&(u.content+=`
\\version{${_}}`,u.contentCorr+=`
\\version{${_}}`,_>1&&t==="Can"&&(u.content+=`
\\setcounter{nbEx}{1}`,u.content+=`
\\pageDeGardeCan{nbEx}
\\clearpage`)),u.content+=m.content,u.contentCorr+=m.contentCorr}return u}async getFile({title:t,reference:r,subtitle:a,style:s,nbVersions:l}){const u=await this.getContents(s,l,t,a,r),_=u.content,m=u.contentCorr;let g="";if(s==="Can")g+=`\\documentclass[a4paper,11pt,fleqn]{article}

${preambule}

`,g+=`
\\Theme[CAN]{}{}{}{}`,g+=`
\\begin{document}`,g+=`
\\setcounter{nbEx}{1}`,g+=`
\\pageDeGardeCan{nbEx}`,g+=`
\\clearpage`,g+=_;else if(s==="ProfMaquette"||s==="ProfMaquetteQrcode"){g="\\documentclass[a4paper,11pt,fleqn]{article}",g+=`
\\usepackage{ProfCollege}`,g+=`
\\usepackage{ProfMaquette}`,g+=`
\\usepackage{qrcode}`,g+=`
\\usepackage[luatex]{hyperref}`,g+=`
\\usepackage{tkz-tab}`,g+=`
\\usepackage{tabularx}`,g+=`
\\usepackage{mathrsfs}`,g+=`
\\usepackage[margin=1cm]{geometry}`,g+=`
\\pagestyle{empty}`,g+=`
\\usepackage{enumitem}`,g+=`
\\usepackage{fontspec}`,g+=`
\\usepackage{unicode-math}`,g+=`
\\setmainfont{Arial}`,g+=`
\\setmathfont{STIX Two Math}`,_.includes("pspicture")&&(g+=`
\\usepackage{pstricks,pst-plot,pst-tree,pstricks-add}`,g+=`
\\usepackage{pst-eucl}`,g+=`
\\usepackage{pst-text}`,g+=`
\\usepackage{pst-node,pst-all}`,g+=`
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JSZip v3.10.1 - A JavaScript class for generating and reading zip files
<http://stuartk.com/jszip>

(c) 2009-2016 Stuart Knightley <stuart [at] stuartk.com>
Dual licenced under the MIT license or GPLv3. See https://raw.github.com/Stuk/jszip/main/LICENSE.markdown.

JSZip uses the library pako released under the MIT license :
https://github.com/nodeca/pako/blob/main/LICENSE
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u}}(l.prototype=r("./object")).loadAsync=r("./load"),l.support=r("./support"),l.defaults=r("./defaults"),l.version="3.10.1",l.loadAsync=function(u,_){return new l().loadAsync(u,_)},l.external=r("./external"),a.exports=l},{"./defaults":5,"./external":6,"./load":11,"./object":15,"./support":30}],11:[function(r,a,s){var l=r("./utils"),u=r("./external"),_=r("./utf8"),m=r("./zipEntries"),g=r("./stream/Crc32Probe"),f=r("./nodejsUtils");function x(w){return new u.Promise(function(Z,Ce){var ne=w.decompressed.getContentWorker().pipe(new g);ne.on("error",function($e){Ce($e)}).on("end",function(){ne.streamInfo.crc32!==w.decompressed.crc32?Ce(new Error("Corrupted zip : CRC32 mismatch")):Z()}).resume()})}a.exports=function(w,Z){var Ce=this;return Z=l.extend(Z||{},{base64:!1,checkCRC32:!1,optimizedBinaryString:!1,createFolders:!1,decodeFileName:_.utf8decode}),f.isNode&&f.isStream(w)?u.Promise.reject(new Error("JSZip can't accept a stream when loading a zip file.")):l.prepareContent("the loaded zip 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f=this;_.on("data",function(x,w){f.push(x)||f._helper.pause(),g&&g(w)}).on("error",function(x){f.emit("error",x)}).on("end",function(){f.push(null)})}r("../utils").inherits(u,l),u.prototype._read=function(){this._helper.resume()},a.exports=u},{"../utils":32,"readable-stream":16}],14:[function(r,a,s){a.exports={isNode:typeof Buffer<"u",newBufferFrom:function(l,u){if(Buffer.from&&Buffer.from!==Uint8Array.from)return Buffer.from(l,u);if(typeof l=="number")throw new Error('The "data" argument must not be a number');return new Buffer(l,u)},allocBuffer:function(l){if(Buffer.alloc)return Buffer.alloc(l);var u=new Buffer(l);return u.fill(0),u},isBuffer:function(l){return Buffer.isBuffer(l)},isStream:function(l){return l&&typeof l.on=="function"&&typeof l.pause=="function"&&typeof l.resume=="function"}}},{}],15:[function(r,a,s){function l(ys,tc,nc){var ac,sc=_.getTypeOf(tc),cc=_.extend(nc||{},f);cc.date=cc.date||new Date,cc.compression!==null&&(cc.compression=cc.compression.toUpperCase()),typeof cc.unixPermissions=="string"&&(cc.unixPermissions=parseInt(cc.unixPermissions,8)),cc.unixPermissions&&16384&cc.unixPermissions&&(cc.dir=!0),cc.dosPermissions&&16&cc.dosPermissions&&(cc.dir=!0),cc.dir&&(ys=Ie(ys)),cc.createFolders&&(ac=$e(ys))&&Dt.call(this,ac,!0);var uc=sc==="string"&&cc.binary===!1&&cc.base64===!1;nc&&nc.binary!==void 0||(cc.binary=!uc),(tc instanceof x&&tc.uncompressedSize===0||cc.dir||!tc||tc.length===0)&&(cc.base64=!1,cc.binary=!0,tc="",cc.compression="STORE",sc="string");var lc=null;lc=tc instanceof x||tc instanceof m?tc:Ce.isNode&&Ce.isStream(tc)?new ne(ys,tc):_.prepareContent(ys,tc,cc.binary,cc.optimizedBinaryString,cc.base64);var e0=new w(ys,lc,cc);this.files[ys]=e0}var u=r("./utf8"),_=r("./utils"),m=r("./stream/GenericWorker"),g=r("./stream/StreamHelper"),f=r("./defaults"),x=r("./compressedObject"),w=r("./zipObject"),Z=r("./generate"),Ce=r("./nodejsUtils"),ne=r("./nodejs/NodejsStreamInputAdapter"),$e=function(ys){ys.slice(-1)==="/"&&(ys=ys.substring(0,ys.length-1));var tc=ys.lastIndexOf("/");return 0<tc?ys.substring(0,tc):""},Ie=function(ys){return ys.slice(-1)!=="/"&&(ys+="/"),ys},Dt=function(ys,tc){return tc=tc!==void 0?tc:f.createFolders,ys=Ie(ys),this.files[ys]||l.call(this,ys,null,{dir:!0,createFolders:tc}),this.files[ys]};function Lr(ys){return Object.prototype.toString.call(ys)==="[object RegExp]"}var ec={load:function(){throw new Error("This method has been removed in JSZip 3.0, please check the upgrade guide.")},forEach:function(ys){var tc,nc,ac;for(tc in this.files)ac=this.files[tc],(nc=tc.slice(this.root.length,tc.length))&&tc.slice(0,this.root.length)===this.root&&ys(nc,ac)},filter:function(ys){var tc=[];return this.forEach(function(nc,ac){ys(nc,ac)&&tc.push(ac)}),tc},file:function(ys,tc,nc){if(arguments.length!==1)return ys=this.root+ys,l.call(this,ys,tc,nc),this;if(Lr(ys)){var ac=ys;return this.filter(function(cc,uc){return!uc.dir&&ac.test(cc)})}var sc=this.files[this.root+ys];return sc&&!sc.dir?sc:null},folder:function(ys){if(!ys)return this;if(Lr(ys))return this.filter(function(sc,cc){return cc.dir&&ys.test(sc)});var tc=this.root+ys,nc=Dt.call(this,tc),ac=this.clone();return ac.root=nc.name,ac},remove:function(ys){ys=this.root+ys;var tc=this.files[ys];if(tc||(ys.slice(-1)!=="/"&&(ys+="/"),tc=this.files[ys]),tc&&!tc.dir)delete this.files[ys];else for(var nc=this.filter(function(sc,cc){return cc.name.slice(0,ys.length)===ys}),ac=0;ac<nc.length;ac++)delete this.files[nc[ac].name];return this},generate:function(){throw new Error("This method has been removed in JSZip 3.0, please check the upgrade guide.")},generateInternalStream:function(ys){var tc,nc={};try{if((nc=_.extend(ys||{},{streamFiles:!1,compression:"STORE",compressionOptions:null,type:"",platform:"DOS",comment:null,mimeType:"application/zip",encodeFileName:u.utf8encode})).type=nc.type.toLowerCase(),nc.compression=nc.compression.toUpperCase(),nc.type==="binarystring"&&(nc.type="string"),!nc.type)throw new Error("No output type specified.");_.checkSupport(nc.type),nc.platform!=="darwin"&&nc.platform!=="freebsd"&&nc.platform!=="linux"&&nc.platform!=="sunos"||(nc.platform="UNIX"),nc.platform==="win32"&&(nc.platform="DOS");var ac=nc.comment||this.comment||"";tc=Z.generateWorker(this,nc,ac)}catch(sc){(tc=new m("error")).error(sc)}return new g(tc,nc.type||"string",nc.mimeType)},generateAsync:function(ys,tc){return 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m=_.charCodeAt(0),g=_.charCodeAt(1),f=_.charCodeAt(2),x=_.charCodeAt(3),w=this.readData(4);return m===w[0]&&g===w[1]&&f===w[2]&&x===w[3]},u.prototype.readData=function(_){if(this.checkOffset(_),_===0)return[];var m=this.data.slice(this.zero+this.index,this.zero+this.index+_);return this.index+=_,m},a.exports=u},{"../utils":32,"./DataReader":18}],18:[function(r,a,s){var l=r("../utils");function u(_){this.data=_,this.length=_.length,this.index=0,this.zero=0}u.prototype={checkOffset:function(_){this.checkIndex(this.index+_)},checkIndex:function(_){if(this.length<this.zero+_||_<0)throw new Error("End of data reached (data length = "+this.length+", asked index = "+_+"). 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this._listeners[u].push(_),this},cleanUp:function(){this.streamInfo=this.generatedError=this.extraStreamInfo=null,this._listeners=[]},emit:function(u,_){if(this._listeners[u])for(var m=0;m<this._listeners[u].length;m++)this._listeners[u][m].call(this,_)},pipe:function(u){return u.registerPrevious(this)},registerPrevious:function(u){if(this.isLocked)throw new Error("The stream '"+this+"' has already been used.");this.streamInfo=u.streamInfo,this.mergeStreamInfo(),this.previous=u;var _=this;return u.on("data",function(m){_.processChunk(m)}),u.on("end",function(){_.end()}),u.on("error",function(m){_.error(m)}),this},pause:function(){return!this.isPaused&&!this.isFinished&&(this.isPaused=!0,this.previous&&this.previous.pause(),!0)},resume:function(){if(!this.isPaused||this.isFinished)return!1;var u=this.isPaused=!1;return 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Ie=ne;switch(ne){case"blob":case"arraybuffer":Ie="uint8array";break;case"base64":Ie="string"}try{this._internalType=Ie,this._outputType=ne,this._mimeType=$e,l.checkSupport(Ie),this._worker=Ce.pipe(new u(Ie)),Ce.lock()}catch(Dt){this._worker=new _("error"),this._worker.error(Dt)}}Z.prototype={accumulate:function(Ce){return w(this,Ce)},on:function(Ce,ne){var $e=this;return Ce==="data"?this._worker.on(Ce,function(Ie){ne.call($e,Ie.data,Ie.meta)}):this._worker.on(Ce,function(){l.delay(ne,arguments,$e)}),this},resume:function(){return l.delay(this._worker.resume,[],this._worker),this},pause:function(){return this._worker.pause(),this},toNodejsStream:function(Ce){if(l.checkSupport("nodestream"),this._outputType!=="nodebuffer")throw new Error(this._outputType+" is not supported by this method");return new x(this,{objectMode:this._outputType!=="nodebuffer"},Ce)}},a.exports=Z},{"../base64":1,"../external":6,"../nodejs/NodejsStreamOutputAdapter":13,"../support":30,"../utils":32,"./ConvertWorker":24,"./GenericWorker":28}],30:[function(r,a,s){if(s.base64=!0,s.array=!0,s.string=!0,s.arraybuffer=typeof ArrayBuffer<"u"&&typeof Uint8Array<"u",s.nodebuffer=typeof Buffer<"u",s.uint8array=typeof Uint8Array<"u",typeof ArrayBuffer>"u")s.blob=!1;else{var l=new ArrayBuffer(0);try{s.blob=new Blob([l],{type:"application/zip"}).size===0}catch{try{var u=new(self.BlobBuilder||self.WebKitBlobBuilder||self.MozBlobBuilder||self.MSBlobBuilder);u.append(l),s.blob=u.getBlob("application/zip").size===0}catch{s.blob=!1}}}try{s.nodestream=!!r("readable-stream").Readable}catch{s.nodestream=!1}},{"readable-stream":16}],31:[function(r,a,s){for(var l=r("./utils"),u=r("./support"),_=r("./nodejsUtils"),m=r("./stream/GenericWorker"),g=new Array(256),f=0;f<256;f++)g[f]=252<=f?6:248<=f?5:240<=f?4:224<=f?3:192<=f?2:1;g[254]=g[254]=1;function x(){m.call(this,"utf-8 decode"),this.leftOver=null}function w(){m.call(this,"utf-8 encode")}s.utf8encode=function(Z){return u.nodebuffer?_.newBufferFrom(Z,"utf-8"):function(Ce){var ne,$e,Ie,Dt,Lr,ec=Ce.length,ys=0;for(Dt=0;Dt<ec;Dt++)(64512&($e=Ce.charCodeAt(Dt)))==55296&&Dt+1<ec&&(64512&(Ie=Ce.charCodeAt(Dt+1)))==56320&&($e=65536+($e-55296<<10)+(Ie-56320),Dt++),ys+=$e<128?1:$e<2048?2:$e<65536?3:4;for(ne=u.uint8array?new Uint8Array(ys):new Array(ys),Dt=Lr=0;Lr<ys;Dt++)(64512&($e=Ce.charCodeAt(Dt)))==55296&&Dt+1<ec&&(64512&(Ie=Ce.charCodeAt(Dt+1)))==56320&&($e=65536+($e-55296<<10)+(Ie-56320),Dt++),$e<128?ne[Lr++]=$e:($e<2048?ne[Lr++]=192|$e>>>6:($e<65536?ne[Lr++]=224|$e>>>12:(ne[Lr++]=240|$e>>>18,ne[Lr++]=128|$e>>>12&63),ne[Lr++]=128|$e>>>6&63),ne[Lr++]=128|63&$e);return ne}(Z)},s.utf8decode=function(Z){return u.nodebuffer?l.transformTo("nodebuffer",Z).toString("utf-8"):function(Ce){var ne,$e,Ie,Dt,Lr=Ce.length,ec=new Array(2*Lr);for(ne=$e=0;ne<Lr;)if((Ie=Ce[ne++])<128)ec[$e++]=Ie;else if(4<(Dt=g[Ie]))ec[$e++]=65533,ne+=Dt-1;else{for(Ie&=Dt===2?31:Dt===3?15:7;1<Dt&&ne<Lr;)Ie=Ie<<6|63&Ce[ne++],Dt--;1<Dt?ec[$e++]=65533:Ie<65536?ec[$e++]=Ie:(Ie-=65536,ec[$e++]=55296|Ie>>10&1023,ec[$e++]=56320|1023&Ie)}return ec.length!==$e&&(ec.subarray?ec=ec.subarray(0,$e):ec.length=$e),l.applyFromCharCode(ec)}(Z=l.transformTo(u.uint8array?"uint8array":"array",Z))},l.inherits(x,m),x.prototype.processChunk=function(Z){var Ce=l.transformTo(u.uint8array?"uint8array":"array",Z.data);if(this.leftOver&&this.leftOver.length){if(u.uint8array){var ne=Ce;(Ce=new Uint8Array(ne.length+this.leftOver.length)).set(this.leftOver,0),Ce.set(ne,this.leftOver.length)}else Ce=this.leftOver.concat(Ce);this.leftOver=null}var $e=function(Dt,Lr){var ec;for((Lr=Lr||Dt.length)>Dt.length&&(Lr=Dt.length),ec=Lr-1;0<=ec&&(192&Dt[ec])==128;)ec--;return ec<0||ec===0?Lr:ec+g[Dt[ec]]>Lr?ec:Lr}(Ce),Ie=Ce;$e!==Ce.length&&(u.uint8array?(Ie=Ce.subarray(0,$e),this.leftOver=Ce.subarray($e,Ce.length)):(Ie=Ce.slice(0,$e),this.leftOver=Ce.slice($e,Ce.length))),this.push({data:s.utf8decode(Ie),meta:Z.meta})},x.prototype.flush=function(){this.leftOver&&this.leftOver.length&&(this.push({data:s.utf8decode(this.leftOver),meta:{}}),this.leftOver=null)},s.Utf8DecodeWorker=x,l.inherits(w,m),w.prototype.processChunk=function(Z){this.push({data:s.utf8encode(Z.data),meta:Z.meta})},s.Utf8EncodeWorker=w},{"./nodejsUtils":14,"./stream/GenericWorker":28,"./support":30,"./utils":32}],32:[function(r,a,s){var l=r("./support"),u=r("./base64"),_=r("./nodejsUtils"),m=r("./external");function g(ne){return ne}function f(ne,$e){for(var Ie=0;Ie<ne.length;++Ie)$e[Ie]=255&ne.charCodeAt(Ie);return $e}r("setimmediate"),s.newBlob=function(ne,$e){s.checkSupport("blob");try{return new Blob([ne],{type:$e})}catch{try{var Ie=new(self.BlobBuilder||self.WebKitBlobBuilder||self.MozBlobBuilder||self.MSBlobBuilder);return Ie.append(ne),Ie.getBlob($e)}catch{throw new Error("Bug : can't construct the Blob.")}}};var x={stringifyByChunk:function(ne,$e,Ie){var Dt=[],Lr=0,ec=ne.length;if(ec<=Ie)return String.fromCharCode.apply(null,ne);for(;Lr<ec;)$e==="array"||$e==="nodebuffer"?Dt.push(String.fromCharCode.apply(null,ne.slice(Lr,Math.min(Lr+Ie,ec)))):Dt.push(String.fromCharCode.apply(null,ne.subarray(Lr,Math.min(Lr+Ie,ec)))),Lr+=Ie;return Dt.join("")},stringifyByChar:function(ne){for(var $e="",Ie=0;Ie<ne.length;Ie++)$e+=String.fromCharCode(ne[Ie]);return $e},applyCanBeUsed:{uint8array:function(){try{return l.uint8array&&String.fromCharCode.apply(null,new Uint8Array(1)).length===1}catch{return!1}}(),nodebuffer:function(){try{return l.nodebuffer&&String.fromCharCode.apply(null,_.allocBuffer(1)).length===1}catch{return!1}}()}};function w(ne){var $e=65536,Ie=s.getTypeOf(ne),Dt=!0;if(Ie==="uint8array"?Dt=x.applyCanBeUsed.uint8array:Ie==="nodebuffer"&&(Dt=x.applyCanBeUsed.nodebuffer),Dt)for(;1<$e;)try{return x.stringifyByChunk(ne,Ie,$e)}catch{$e=Math.floor($e/2)}return x.stringifyByChar(ne)}function Z(ne,$e){for(var Ie=0;Ie<ne.length;Ie++)$e[Ie]=ne[Ie];return $e}s.applyFromCharCode=w;var Ce={};Ce.string={string:g,array:function(ne){return f(ne,new Array(ne.length))},arraybuffer:function(ne){return Ce.string.uint8array(ne).buffer},uint8array:function(ne){return f(ne,new Uint8Array(ne.length))},nodebuffer:function(ne){return f(ne,_.allocBuffer(ne.length))}},Ce.array={string:w,array:g,arraybuffer:function(ne){return new Uint8Array(ne).buffer},uint8array:function(ne){return new Uint8Array(ne)},nodebuffer:function(ne){return _.newBufferFrom(ne)}},Ce.arraybuffer={string:function(ne){return w(new Uint8Array(ne))},array:function(ne){return Z(new Uint8Array(ne),new Array(ne.byteLength))},arraybuffer:g,uint8array:function(ne){return new Uint8Array(ne)},nodebuffer:function(ne){return _.newBufferFrom(new Uint8Array(ne))}},Ce.uint8array={string:w,array:function(ne){return Z(ne,new Array(ne.length))},arraybuffer:function(ne){return ne.buffer},uint8array:g,nodebuffer:function(ne){return _.newBufferFrom(ne)}},Ce.nodebuffer={string:w,array:function(ne){return Z(ne,new Array(ne.length))},arraybuffer:function(ne){return Ce.nodebuffer.uint8array(ne).buffer},uint8array:function(ne){return Z(ne,new Uint8Array(ne.length))},nodebuffer:g},s.transformTo=function(ne,$e){if($e=$e||"",!ne)return $e;s.checkSupport(ne);var Ie=s.getTypeOf($e);return Ce[Ie][ne]($e)},s.resolve=function(ne){for(var $e=ne.split("/"),Ie=[],Dt=0;Dt<$e.length;Dt++){var Lr=$e[Dt];Lr==="."||Lr===""&&Dt!==0&&Dt!==$e.length-1||(Lr===".."?Ie.pop():Ie.push(Lr))}return Ie.join("/")},s.getTypeOf=function(ne){return typeof ne=="string"?"string":Object.prototype.toString.call(ne)==="[object Array]"?"array":l.nodebuffer&&_.isBuffer(ne)?"nodebuffer":l.uint8array&&ne instanceof Uint8Array?"uint8array":l.arraybuffer&&ne instanceof ArrayBuffer?"arraybuffer":void 0},s.checkSupport=function(ne){if(!l[ne.toLowerCase()])throw new Error(ne+" is not supported by this platform")},s.MAX_VALUE_16BITS=65535,s.MAX_VALUE_32BITS=-1,s.pretty=function(ne){var $e,Ie,Dt="";for(Ie=0;Ie<(ne||"").length;Ie++)Dt+="\\x"+(($e=ne.charCodeAt(Ie))<16?"0":"")+$e.toString(16).toUpperCase();return Dt},s.delay=function(ne,$e,Ie){setImmediate(function(){ne.apply(Ie||null,$e||[])})},s.inherits=function(ne,$e){function Ie(){}Ie.prototype=$e.prototype,ne.prototype=new Ie},s.extend=function(){var ne,$e,Ie={};for(ne=0;ne<arguments.length;ne++)for($e in arguments[ne])Object.prototype.hasOwnProperty.call(arguments[ne],$e)&&Ie[$e]===void 0&&(Ie[$e]=arguments[ne][$e]);return Ie},s.prepareContent=function(ne,$e,Ie,Dt,Lr){return m.Promise.resolve($e).then(function(ec){return l.blob&&(ec instanceof Blob||["[object File]","[object 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Is it in a supported JavaScript type (String, Blob, ArrayBuffer, etc) ?"))})}},{"./base64":1,"./external":6,"./nodejsUtils":14,"./support":30,setimmediate:54}],33:[function(r,a,s){var l=r("./reader/readerFor"),u=r("./utils"),_=r("./signature"),m=r("./zipEntry"),g=r("./support");function f(x){this.files=[],this.loadOptions=x}f.prototype={checkSignature:function(x){if(!this.reader.readAndCheckSignature(x)){this.reader.index-=4;var w=this.reader.readString(4);throw new Error("Corrupted zip or bug: unexpected signature ("+u.pretty(w)+", expected "+u.pretty(x)+")")}},isSignature:function(x,w){var Z=this.reader.index;this.reader.setIndex(x);var Ce=this.reader.readString(4)===w;return this.reader.setIndex(Z),Ce},readBlockEndOfCentral:function(){this.diskNumber=this.reader.readInt(2),this.diskWithCentralDirStart=this.reader.readInt(2),this.centralDirRecordsOnThisDisk=this.reader.readInt(2),this.centralDirRecords=this.reader.readInt(2),this.centralDirSize=this.reader.readInt(4),this.centralDirOffset=this.reader.readInt(4),this.zipCommentLength=this.reader.readInt(2);var x=this.reader.readData(this.zipCommentLength),w=g.uint8array?"uint8array":"array",Z=u.transformTo(w,x);this.zipComment=this.loadOptions.decodeFileName(Z)},readBlockZip64EndOfCentral:function(){this.zip64EndOfCentralSize=this.reader.readInt(8),this.reader.skip(4),this.diskNumber=this.reader.readInt(4),this.diskWithCentralDirStart=this.reader.readInt(4),this.centralDirRecordsOnThisDisk=this.reader.readInt(8),this.centralDirRecords=this.reader.readInt(8),this.centralDirSize=this.reader.readInt(8),this.centralDirOffset=this.reader.readInt(8),this.zip64ExtensibleData={};for(var x,w,Z,Ce=this.zip64EndOfCentralSize-44;0<Ce;)x=this.reader.readInt(2),w=this.reader.readInt(4),Z=this.reader.readData(w),this.zip64ExtensibleData[x]={id:x,length:w,value:Z}},readBlockZip64EndOfCentralLocator:function(){if(this.diskWithZip64CentralDirStart=this.reader.readInt(4),this.relativeOffsetEndOfZip64CentralDir=this.reader.readInt(8),this.disksCount=this.reader.readInt(4),1<this.disksCount)throw new Error("Multi-volumes zip are not supported")},readLocalFiles:function(){var x,w;for(x=0;x<this.files.length;x++)w=this.files[x],this.reader.setIndex(w.localHeaderOffset),this.checkSignature(_.LOCAL_FILE_HEADER),w.readLocalPart(this.reader),w.handleUTF8(),w.processAttributes()},readCentralDir:function(){var x;for(this.reader.setIndex(this.centralDirOffset);this.reader.readAndCheckSignature(_.CENTRAL_FILE_HEADER);)(x=new m({zip64:this.zip64},this.loadOptions)).readCentralPart(this.reader),this.files.push(x);if(this.centralDirRecords!==this.files.length&&this.centralDirRecords!==0&&this.files.length===0)throw new Error("Corrupted zip or bug: expected "+this.centralDirRecords+" records in central dir, got "+this.files.length)},readEndOfCentral:function(){var x=this.reader.lastIndexOfSignature(_.CENTRAL_DIRECTORY_END);if(x<0)throw this.isSignature(0,_.LOCAL_FILE_HEADER)?new Error("Corrupted zip: can't find end of central directory"):new Error("Can't find end of central directory : is this a zip file ? If it is, see https://stuk.github.io/jszip/documentation/howto/read_zip.html");this.reader.setIndex(x);var w=x;if(this.checkSignature(_.CENTRAL_DIRECTORY_END),this.readBlockEndOfCentral(),this.diskNumber===u.MAX_VALUE_16BITS||this.diskWithCentralDirStart===u.MAX_VALUE_16BITS||this.centralDirRecordsOnThisDisk===u.MAX_VALUE_16BITS||this.centralDirRecords===u.MAX_VALUE_16BITS||this.centralDirSize===u.MAX_VALUE_32BITS||this.centralDirOffset===u.MAX_VALUE_32BITS){if(this.zip64=!0,(x=this.reader.lastIndexOfSignature(_.ZIP64_CENTRAL_DIRECTORY_LOCATOR))<0)throw new Error("Corrupted zip: can't find the ZIP64 end of central directory locator");if(this.reader.setIndex(x),this.checkSignature(_.ZIP64_CENTRAL_DIRECTORY_LOCATOR),this.readBlockZip64EndOfCentralLocator(),!this.isSignature(this.relativeOffsetEndOfZip64CentralDir,_.ZIP64_CENTRAL_DIRECTORY_END)&&(this.relativeOffsetEndOfZip64CentralDir=this.reader.lastIndexOfSignature(_.ZIP64_CENTRAL_DIRECTORY_END),this.relativeOffsetEndOfZip64CentralDir<0))throw new Error("Corrupted zip: can't find the ZIP64 end of central directory");this.reader.setIndex(this.relativeOffsetEndOfZip64CentralDir),this.checkSignature(_.ZIP64_CENTRAL_DIRECTORY_END),this.readBlockZip64EndOfCentral()}var Z=this.centralDirOffset+this.centralDirSize;this.zip64&&(Z+=20,Z+=12+this.zip64EndOfCentralSize);var Ce=w-Z;if(0<Ce)this.isSignature(w,_.CENTRAL_FILE_HEADER)||(this.reader.zero=Ce);else if(Ce<0)throw new Error("Corrupted zip: missing "+Math.abs(Ce)+" bytes.")},prepareReader:function(x){this.reader=l(x)},load:function(x){this.prepareReader(x),this.readEndOfCentral(),this.readCentralDir(),this.readLocalFiles()}},a.exports=f},{"./reader/readerFor":22,"./signature":23,"./support":30,"./utils":32,"./zipEntry":34}],34:[function(r,a,s){var l=r("./reader/readerFor"),u=r("./utils"),_=r("./compressedObject"),m=r("./crc32"),g=r("./utf8"),f=r("./compressions"),x=r("./support");function w(Z,Ce){this.options=Z,this.loadOptions=Ce}w.prototype={isEncrypted:function(){return(1&this.bitFlag)==1},useUTF8:function(){return(2048&this.bitFlag)==2048},readLocalPart:function(Z){var Ce,ne;if(Z.skip(22),this.fileNameLength=Z.readInt(2),ne=Z.readInt(2),this.fileName=Z.readData(this.fileNameLength),Z.skip(ne),this.compressedSize===-1||this.uncompressedSize===-1)throw new Error("Bug or corrupted zip : didn't get enough information from the central directory (compressedSize === -1 || uncompressedSize === -1)");if((Ce=function($e){for(var Ie in f)if(Object.prototype.hasOwnProperty.call(f,Ie)&&f[Ie].magic===$e)return f[Ie];return null}(this.compressionMethod))===null)throw new Error("Corrupted zip : compression "+u.pretty(this.compressionMethod)+" unknown (inner file : "+u.transformTo("string",this.fileName)+")");this.decompressed=new _(this.compressedSize,this.uncompressedSize,this.crc32,Ce,Z.readData(this.compressedSize))},readCentralPart:function(Z){this.versionMadeBy=Z.readInt(2),Z.skip(2),this.bitFlag=Z.readInt(2),this.compressionMethod=Z.readString(2),this.date=Z.readDate(),this.crc32=Z.readInt(4),this.compressedSize=Z.readInt(4),this.uncompressedSize=Z.readInt(4);var Ce=Z.readInt(2);if(this.extraFieldsLength=Z.readInt(2),this.fileCommentLength=Z.readInt(2),this.diskNumberStart=Z.readInt(2),this.internalFileAttributes=Z.readInt(2),this.externalFileAttributes=Z.readInt(4),this.localHeaderOffset=Z.readInt(4),this.isEncrypted())throw new Error("Encrypted zip are not supported");Z.skip(Ce),this.readExtraFields(Z),this.parseZIP64ExtraField(Z),this.fileComment=Z.readData(this.fileCommentLength)},processAttributes:function(){this.unixPermissions=null,this.dosPermissions=null;var Z=this.versionMadeBy>>8;this.dir=!!(16&this.externalFileAttributes),Z==0&&(this.dosPermissions=63&this.externalFileAttributes),Z==3&&(this.unixPermissions=this.externalFileAttributes>>16&65535),this.dir||this.fileNameStr.slice(-1)!=="/"||(this.dir=!0)},parseZIP64ExtraField:function(){if(this.extraFields[1]){var Z=l(this.extraFields[1].value);this.uncompressedSize===u.MAX_VALUE_32BITS&&(this.uncompressedSize=Z.readInt(8)),this.compressedSize===u.MAX_VALUE_32BITS&&(this.compressedSize=Z.readInt(8)),this.localHeaderOffset===u.MAX_VALUE_32BITS&&(this.localHeaderOffset=Z.readInt(8)),this.diskNumberStart===u.MAX_VALUE_32BITS&&(this.diskNumberStart=Z.readInt(4))}},readExtraFields:function(Z){var Ce,ne,$e,Ie=Z.index+this.extraFieldsLength;for(this.extraFields||(this.extraFields={});Z.index+4<Ie;)Ce=Z.readInt(2),ne=Z.readInt(2),$e=Z.readData(ne),this.extraFields[Ce]={id:Ce,length:ne,value:$e};Z.setIndex(Ie)},handleUTF8:function(){var Z=x.uint8array?"uint8array":"array";if(this.useUTF8())this.fileNameStr=g.utf8decode(this.fileName),this.fileCommentStr=g.utf8decode(this.fileComment);else{var Ce=this.findExtraFieldUnicodePath();if(Ce!==null)this.fileNameStr=Ce;else{var ne=u.transformTo(Z,this.fileName);this.fileNameStr=this.loadOptions.decodeFileName(ne)}var $e=this.findExtraFieldUnicodeComment();if($e!==null)this.fileCommentStr=$e;else{var Ie=u.transformTo(Z,this.fileComment);this.fileCommentStr=this.loadOptions.decodeFileName(Ie)}}},findExtraFieldUnicodePath:function(){var Z=this.extraFields[28789];if(Z){var Ce=l(Z.value);return Ce.readInt(1)!==1||m(this.fileName)!==Ce.readInt(4)?null:g.utf8decode(Ce.readData(Z.length-5))}return null},findExtraFieldUnicodeComment:function(){var Z=this.extraFields[25461];if(Z){var Ce=l(Z.value);return Ce.readInt(1)!==1||m(this.fileComment)!==Ce.readInt(4)?null:g.utf8decode(Ce.readData(Z.length-5))}return null}},a.exports=w},{"./compressedObject":2,"./compressions":3,"./crc32":4,"./reader/readerFor":22,"./support":30,"./utf8":31,"./utils":32}],35:[function(r,a,s){function l(Ce,ne,$e){this.name=Ce,this.dir=$e.dir,this.date=$e.date,this.comment=$e.comment,this.unixPermissions=$e.unixPermissions,this.dosPermissions=$e.dosPermissions,this._data=ne,this._dataBinary=$e.binary,this.options={compression:$e.compression,compressionOptions:$e.compressionOptions}}var u=r("./stream/StreamHelper"),_=r("./stream/DataWorker"),m=r("./utf8"),g=r("./compressedObject"),f=r("./stream/GenericWorker");l.prototype={internalStream:function(Ce){var ne=null,$e="string";try{if(!Ce)throw new Error("No output type specified.");var Ie=($e=Ce.toLowerCase())==="string"||$e==="text";$e!=="binarystring"&&$e!=="text"||($e="string"),ne=this._decompressWorker();var 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t0(r0){return(r0<<1)-(4<r0?9:0)}function h0(r0){for(var b0=r0.length;0<=--b0;)r0[b0]=0}function _0(r0){var b0=r0.state,A0=b0.pending;A0>r0.avail_out&&(A0=r0.avail_out),A0!==0&&(u.arraySet(r0.output,b0.pending_buf,b0.pending_out,A0,r0.next_out),r0.next_out+=A0,b0.pending_out+=A0,r0.total_out+=A0,r0.avail_out-=A0,b0.pending-=A0,b0.pending===0&&(b0.pending_out=0))}function c0(r0,b0){_._tr_flush_block(r0,0<=r0.block_start?r0.block_start:-1,r0.strstart-r0.block_start,b0),r0.block_start=r0.strstart,_0(r0.strm)}function f0(r0,b0){r0.pending_buf[r0.pending++]=b0}function q0(r0,b0){r0.pending_buf[r0.pending++]=b0>>>8&255,r0.pending_buf[r0.pending++]=255&b0}function D0(r0,b0){var A0,v0,i0=r0.max_chain_length,S0=r0.strstart,E0=r0.prev_length,L0=r0.nice_match,O0=r0.strstart>r0.w_size-uc?r0.strstart-(r0.w_size-uc):0,P0=r0.window,w0=r0.w_mask,U0=r0.prev,o0=r0.strstart+cc,x0=P0[S0+E0-1],T0=P0[S0+E0];r0.prev_length>=r0.good_match&&(i0>>=2),L0>r0.lookahead&&(L0=r0.lookahead);do 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0,w0=E0.avail_in,P0<w0&&(w0=P0),A0=w0===0?0:(E0.avail_in-=w0,u.arraySet(L0,E0.input,E0.next_in,w0,O0),E0.state.wrap===1?E0.adler=m(E0.adler,L0,w0,O0):E0.state.wrap===2&&(E0.adler=g(E0.adler,L0,w0,O0)),E0.next_in+=w0,E0.total_in+=w0,w0),r0.lookahead+=A0,r0.lookahead+r0.insert>=sc)for(S0=r0.strstart-r0.insert,r0.ins_h=r0.window[S0],r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[S0+1])&r0.hash_mask;r0.insert&&(r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[S0+sc-1])&r0.hash_mask,r0.prev[S0&r0.w_mask]=r0.head[r0.ins_h],r0.head[r0.ins_h]=S0,S0++,r0.insert--,!(r0.lookahead+r0.insert<sc)););}while(r0.lookahead<uc&&r0.strm.avail_in!==0)}function k0(r0,b0){for(var A0,v0;;){if(r0.lookahead<uc){if($0(r0),r0.lookahead<uc&&b0===x)return dc;if(r0.lookahead===0)break}if(A0=0,r0.lookahead>=sc&&(r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[r0.strstart+sc-1])&r0.hash_mask,A0=r0.prev[r0.strstart&r0.w_mask]=r0.head[r0.ins_h],r0.head[r0.ins_h]=r0.strstart),A0!==0&&r0.strstart-A0<=r0.w_size-uc&&(r0.match_length=D0(r0,A0)),r0.match_length>=sc)if(v0=_._tr_tally(r0,r0.strstart-r0.match_start,r0.match_length-sc),r0.lookahead-=r0.match_length,r0.match_length<=r0.max_lazy_match&&r0.lookahead>=sc){for(r0.match_length--;r0.strstart++,r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[r0.strstart+sc-1])&r0.hash_mask,A0=r0.prev[r0.strstart&r0.w_mask]=r0.head[r0.ins_h],r0.head[r0.ins_h]=r0.strstart,--r0.match_length!=0;);r0.strstart++}else r0.strstart+=r0.match_length,r0.match_length=0,r0.ins_h=r0.window[r0.strstart],r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[r0.strstart+1])&r0.hash_mask;else v0=_._tr_tally(r0,0,r0.window[r0.strstart]),r0.lookahead--,r0.strstart++;if(v0&&(c0(r0,!1),r0.strm.avail_out===0))return dc}return r0.insert=r0.strstart<sc-1?r0.strstart:sc-1,b0===w?(c0(r0,!0),r0.strm.avail_out===0?Jc:n0):r0.last_lit&&(c0(r0,!1),r0.strm.avail_out===0)?dc:kc}function R0(r0,b0){for(var A0,v0,i0;;){if(r0.lookahead<uc){if($0(r0),r0.lookahead<uc&&b0===x)return dc;if(r0.lookahead===0)break}if(A0=0,r0.lookahead>=sc&&(r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[r0.strstart+sc-1])&r0.hash_mask,A0=r0.prev[r0.strstart&r0.w_mask]=r0.head[r0.ins_h],r0.head[r0.ins_h]=r0.strstart),r0.prev_length=r0.match_length,r0.prev_match=r0.match_start,r0.match_length=sc-1,A0!==0&&r0.prev_length<r0.max_lazy_match&&r0.strstart-A0<=r0.w_size-uc&&(r0.match_length=D0(r0,A0),r0.match_length<=5&&(r0.strategy===1||r0.match_length===sc&&4096<r0.strstart-r0.match_start)&&(r0.match_length=sc-1)),r0.prev_length>=sc&&r0.match_length<=r0.prev_length){for(i0=r0.strstart+r0.lookahead-sc,v0=_._tr_tally(r0,r0.strstart-1-r0.prev_match,r0.prev_length-sc),r0.lookahead-=r0.prev_length-1,r0.prev_length-=2;++r0.strstart<=i0&&(r0.ins_h=(r0.ins_h<<r0.hash_shift^r0.window[r0.strstart+sc-1])&r0.hash_mask,A0=r0.prev[r0.strstart&r0.w_mask]=r0.head[r0.ins_h],r0.head[r0.ins_h]=r0.strstart),--r0.prev_length!=0;);if(r0.match_available=0,r0.match_length=sc-1,r0.strstart++,v0&&(c0(r0,!1),r0.strm.avail_out===0))return dc}else if(r0.match_available){if((v0=_._tr_tally(r0,0,r0.window[r0.strstart-1]))&&c0(r0,!1),r0.strstart++,r0.lookahead--,r0.strm.avail_out===0)return dc}else r0.match_available=1,r0.strstart++,r0.lookahead--}return r0.match_available&&(v0=_._tr_tally(r0,0,r0.window[r0.strstart-1]),r0.match_available=0),r0.insert=r0.strstart<sc-1?r0.strstart:sc-1,b0===w?(c0(r0,!0),r0.strm.avail_out===0?Jc:n0):r0.last_lit&&(c0(r0,!1),r0.strm.avail_out===0)?dc:kc}function C0(r0,b0,A0,v0,i0){this.good_length=r0,this.max_lazy=b0,this.nice_length=A0,this.max_chain=v0,this.func=i0}function I0(){this.strm=null,this.status=0,this.pending_buf=null,this.pending_buf_size=0,this.pending_out=0,this.pending=0,this.wrap=0,this.gzhead=null,this.gzindex=0,this.method=Dt,this.last_flush=-1,this.w_size=0,this.w_bits=0,this.w_mask=0,this.window=null,this.window_size=0,this.prev=null,this.head=null,this.ins_h=0,this.hash_size=0,this.hash_bits=0,this.hash_mask=0,this.hash_shift=0,this.block_start=0,this.match_length=0,this.prev_match=0,this.match_available=0,this.strstart=0,this.match_start=0,this.lookahead=0,this.prev_length=0,this.max_chain_length=0,this.max_lazy_match=0,this.level=0,this.strategy=0,this.good_match=0,this.nice_match=0,this.dyn_ltree=new u.Buf16(2*nc),this.dyn_dtree=new u.Buf16(2*(2*ys+1)),this.bl_tree=new u.Buf16(2*(2*tc+1)),h0(this.dyn_ltree),h0(this.dyn_dtree),h0(this.bl_tree),this.l_desc=null,this.d_desc=null,this.bl_desc=null,this.bl_count=new u.Buf16(ac+1),this.heap=new u.Buf16(2*ec+1),h0(this.heap),this.heap_len=0,this.heap_max=0,this.depth=new u.Buf16(2*ec+1),h0(this.depth),this.l_buf=0,this.lit_bufsize=0,this.last_lit=0,this.d_buf=0,this.opt_len=0,this.static_len=0,this.matches=0,this.insert=0,this.bi_buf=0,this.bi_valid=0}function Y0(r0){var b0;return r0&&r0.state?(r0.total_in=r0.total_out=0,r0.data_type=Ie,(b0=r0.state).pending=0,b0.pending_out=0,b0.wrap<0&&(b0.wrap=-b0.wrap),b0.status=b0.wrap?lc:e0,r0.adler=b0.wrap===2?0:1,b0.last_flush=x,_._tr_init(b0),Z):d0(r0,Ce)}function K0(r0){var b0=Y0(r0);return b0===Z&&function(A0){A0.window_size=2*A0.w_size,h0(A0.head),A0.max_lazy_match=l[A0.level].max_lazy,A0.good_match=l[A0.level].good_length,A0.nice_match=l[A0.level].nice_length,A0.max_chain_length=l[A0.level].max_chain,A0.strstart=0,A0.block_start=0,A0.lookahead=0,A0.insert=0,A0.match_length=A0.prev_length=sc-1,A0.match_available=0,A0.ins_h=0}(r0.state),b0}function W0(r0,b0,A0,v0,i0,S0){if(!r0)return Ce;var E0=1;if(b0===ne&&(b0=6),v0<0?(E0=0,v0=-v0):15<v0&&(E0=2,v0-=16),i0<1||Lr<i0||A0!==Dt||v0<8||15<v0||b0<0||9<b0||S0<0||$e<S0)return d0(r0,Ce);v0===8&&(v0=9);var L0=new I0;return(r0.state=L0).strm=r0,L0.wrap=E0,L0.gzhead=null,L0.w_bits=v0,L0.w_size=1<<L0.w_bits,L0.w_mask=L0.w_size-1,L0.hash_bits=i0+7,L0.hash_size=1<<L0.hash_bits,L0.hash_mask=L0.hash_size-1,L0.hash_shift=~~((L0.hash_bits+sc-1)/sc),L0.window=new u.Buf8(2*L0.w_size),L0.head=new u.Buf16(L0.hash_size),L0.prev=new u.Buf16(L0.w_size),L0.lit_bufsize=1<<i0+6,L0.pending_buf_size=4*L0.lit_bufsize,L0.pending_buf=new u.Buf8(L0.pending_buf_size),L0.d_buf=1*L0.lit_bufsize,L0.l_buf=3*L0.lit_bufsize,L0.level=b0,L0.strategy=S0,L0.method=A0,K0(r0)}l=[new C0(0,0,0,0,function(r0,b0){var A0=65535;for(A0>r0.pending_buf_size-5&&(A0=r0.pending_buf_size-5);;){if(r0.lookahead<=1){if($0(r0),r0.lookahead===0&&b0===x)return dc;if(r0.lookahead===0)break}r0.strstart+=r0.lookahead,r0.lookahead=0;var v0=r0.block_start+A0;if((r0.strstart===0||r0.strstart>=v0)&&(r0.lookahead=r0.strstart-v0,r0.strstart=v0,c0(r0,!1),r0.strm.avail_out===0)||r0.strstart-r0.block_start>=r0.w_size-uc&&(c0(r0,!1),r0.strm.avail_out===0))return dc}return r0.insert=0,b0===w?(c0(r0,!0),r0.strm.avail_out===0?Jc:n0):(r0.strstart>r0.block_start&&(c0(r0,!1),r0.strm.avail_out),dc)}),new C0(4,4,8,4,k0),new C0(4,5,16,8,k0),new C0(4,6,32,32,k0),new C0(4,4,16,16,R0),new C0(8,16,32,32,R0),new C0(8,16,128,128,R0),new C0(8,32,128,256,R0),new C0(32,128,258,1024,R0),new C0(32,258,258,4096,R0)],s.deflateInit=function(r0,b0){return W0(r0,b0,Dt,15,8,0)},s.deflateInit2=W0,s.deflateReset=K0,s.deflateResetKeep=Y0,s.deflateSetHeader=function(r0,b0){return r0&&r0.state?r0.state.wrap!==2?Ce:(r0.state.gzhead=b0,Z):Ce},s.deflate=function(r0,b0){var A0,v0,i0,S0;if(!r0||!r0.state||5<b0||b0<0)return r0?d0(r0,Ce):Ce;if(v0=r0.state,!r0.output||!r0.input&&r0.avail_in!==0||v0.status===666&&b0!==w)return d0(r0,r0.avail_out===0?-5:Ce);if(v0.strm=r0,A0=v0.last_flush,v0.last_flush=b0,v0.status===lc)if(v0.wrap===2)r0.adler=0,f0(v0,31),f0(v0,139),f0(v0,8),v0.gzhead?(f0(v0,(v0.gzhead.text?1:0)+(v0.gzhead.hcrc?2:0)+(v0.gzhead.extra?4:0)+(v0.gzhead.name?8:0)+(v0.gzhead.comment?16:0)),f0(v0,255&v0.gzhead.time),f0(v0,v0.gzhead.time>>8&255),f0(v0,v0.gzhead.time>>16&255),f0(v0,v0.gzhead.time>>24&255),f0(v0,v0.level===9?2:2<=v0.strategy||v0.level<2?4:0),f0(v0,255&v0.gzhead.os),v0.gzhead.extra&&v0.gzhead.extra.length&&(f0(v0,255&v0.gzhead.extra.length),f0(v0,v0.gzhead.extra.length>>8&255)),v0.gzhead.hcrc&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending,0)),v0.gzindex=0,v0.status=69):(f0(v0,0),f0(v0,0),f0(v0,0),f0(v0,0),f0(v0,0),f0(v0,v0.level===9?2:2<=v0.strategy||v0.level<2?4:0),f0(v0,3),v0.status=e0);else{var E0=Dt+(v0.w_bits-8<<4)<<8;E0|=(2<=v0.strategy||v0.level<2?0:v0.level<6?1:v0.level===6?2:3)<<6,v0.strstart!==0&&(E0|=32),E0+=31-E0%31,v0.status=e0,q0(v0,E0),v0.strstart!==0&&(q0(v0,r0.adler>>>16),q0(v0,65535&r0.adler)),r0.adler=1}if(v0.status===69)if(v0.gzhead.extra){for(i0=v0.pending;v0.gzindex<(65535&v0.gzhead.extra.length)&&(v0.pending!==v0.pending_buf_size||(v0.gzhead.hcrc&&v0.pending>i0&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending-i0,i0)),_0(r0),i0=v0.pending,v0.pending!==v0.pending_buf_size));)f0(v0,255&v0.gzhead.extra[v0.gzindex]),v0.gzindex++;v0.gzhead.hcrc&&v0.pending>i0&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending-i0,i0)),v0.gzindex===v0.gzhead.extra.length&&(v0.gzindex=0,v0.status=73)}else v0.status=73;if(v0.status===73)if(v0.gzhead.name){i0=v0.pending;do{if(v0.pending===v0.pending_buf_size&&(v0.gzhead.hcrc&&v0.pending>i0&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending-i0,i0)),_0(r0),i0=v0.pending,v0.pending===v0.pending_buf_size)){S0=1;break}S0=v0.gzindex<v0.gzhead.name.length?255&v0.gzhead.name.charCodeAt(v0.gzindex++):0,f0(v0,S0)}while(S0!==0);v0.gzhead.hcrc&&v0.pending>i0&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending-i0,i0)),S0===0&&(v0.gzindex=0,v0.status=91)}else v0.status=91;if(v0.status===91)if(v0.gzhead.comment){i0=v0.pending;do{if(v0.pending===v0.pending_buf_size&&(v0.gzhead.hcrc&&v0.pending>i0&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending-i0,i0)),_0(r0),i0=v0.pending,v0.pending===v0.pending_buf_size)){S0=1;break}S0=v0.gzindex<v0.gzhead.comment.length?255&v0.gzhead.comment.charCodeAt(v0.gzindex++):0,f0(v0,S0)}while(S0!==0);v0.gzhead.hcrc&&v0.pending>i0&&(r0.adler=g(r0.adler,v0.pending_buf,v0.pending-i0,i0)),S0===0&&(v0.status=103)}else v0.status=103;if(v0.status===103&&(v0.gzhead.hcrc?(v0.pending+2>v0.pending_buf_size&&_0(r0),v0.pending+2<=v0.pending_buf_size&&(f0(v0,255&r0.adler),f0(v0,r0.adler>>8&255),r0.adler=0,v0.status=e0)):v0.status=e0),v0.pending!==0){if(_0(r0),r0.avail_out===0)return v0.last_flush=-1,Z}else if(r0.avail_in===0&&t0(b0)<=t0(A0)&&b0!==w)return d0(r0,-5);if(v0.status===666&&r0.avail_in!==0)return d0(r0,-5);if(r0.avail_in!==0||v0.lookahead!==0||b0!==x&&v0.status!==666){var L0=v0.strategy===2?function(O0,P0){for(var w0;;){if(O0.lookahead===0&&($0(O0),O0.lookahead===0)){if(P0===x)return dc;break}if(O0.match_length=0,w0=_._tr_tally(O0,0,O0.window[O0.strstart]),O0.lookahead--,O0.strstart++,w0&&(c0(O0,!1),O0.strm.avail_out===0))return dc}return O0.insert=0,P0===w?(c0(O0,!0),O0.strm.avail_out===0?Jc:n0):O0.last_lit&&(c0(O0,!1),O0.strm.avail_out===0)?dc:kc}(v0,b0):v0.strategy===3?function(O0,P0){for(var w0,U0,o0,x0,T0=O0.window;;){if(O0.lookahead<=cc){if($0(O0),O0.lookahead<=cc&&P0===x)return dc;if(O0.lookahead===0)break}if(O0.match_length=0,O0.lookahead>=sc&&0<O0.strstart&&(U0=T0[o0=O0.strstart-1])===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]){x0=O0.strstart+cc;do;while(U0===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]&&U0===T0[++o0]&&o0<x0);O0.match_length=cc-(x0-o0),O0.match_length>O0.lookahead&&(O0.match_length=O0.lookahead)}if(O0.match_length>=sc?(w0=_._tr_tally(O0,1,O0.match_length-sc),O0.lookahead-=O0.match_length,O0.strstart+=O0.match_length,O0.match_length=0):(w0=_._tr_tally(O0,0,O0.window[O0.strstart]),O0.lookahead--,O0.strstart++),w0&&(c0(O0,!1),O0.strm.avail_out===0))return dc}return O0.insert=0,P0===w?(c0(O0,!0),O0.strm.avail_out===0?Jc:n0):O0.last_lit&&(c0(O0,!1),O0.strm.avail_out===0)?dc:kc}(v0,b0):l[v0.level].func(v0,b0);if(L0!==Jc&&L0!==n0||(v0.status=666),L0===dc||L0===Jc)return r0.avail_out===0&&(v0.last_flush=-1),Z;if(L0===kc&&(b0===1?_._tr_align(v0):b0!==5&&(_._tr_stored_block(v0,0,0,!1),b0===3&&(h0(v0.head),v0.lookahead===0&&(v0.strstart=0,v0.block_start=0,v0.insert=0))),_0(r0),r0.avail_out===0))return v0.last_flush=-1,Z}return b0!==w?Z:v0.wrap<=0?1:(v0.wrap===2?(f0(v0,255&r0.adler),f0(v0,r0.adler>>8&255),f0(v0,r0.adler>>16&255),f0(v0,r0.adler>>24&255),f0(v0,255&r0.total_in),f0(v0,r0.total_in>>8&255),f0(v0,r0.total_in>>16&255),f0(v0,r0.total_in>>24&255)):(q0(v0,r0.adler>>>16),q0(v0,65535&r0.adler)),_0(r0),0<v0.wrap&&(v0.wrap=-v0.wrap),v0.pending!==0?Z:1)},s.deflateEnd=function(r0){var b0;return r0&&r0.state?(b0=r0.state.status)!==lc&&b0!==69&&b0!==73&&b0!==91&&b0!==103&&b0!==e0&&b0!==666?d0(r0,Ce):(r0.state=null,b0===e0?d0(r0,-3):Z):Ce},s.deflateSetDictionary=function(r0,b0){var A0,v0,i0,S0,E0,L0,O0,P0,w0=b0.length;if(!r0||!r0.state||(S0=(A0=r0.state).wrap)===2||S0===1&&A0.status!==lc||A0.lookahead)return Ce;for(S0===1&&(r0.adler=m(r0.adler,b0,w0,0)),A0.wrap=0,w0>=A0.w_size&&(S0===0&&(h0(A0.head),A0.strstart=0,A0.block_start=0,A0.insert=0),P0=new u.Buf8(A0.w_size),u.arraySet(P0,b0,w0-A0.w_size,A0.w_size,0),b0=P0,w0=A0.w_size),E0=r0.avail_in,L0=r0.next_in,O0=r0.input,r0.avail_in=w0,r0.next_in=0,r0.input=b0,$0(A0);A0.lookahead>=sc;){for(v0=A0.strstart,i0=A0.lookahead-(sc-1);A0.ins_h=(A0.ins_h<<A0.hash_shift^A0.window[v0+sc-1])&A0.hash_mask,A0.prev[v0&A0.w_mask]=A0.head[A0.ins_h],A0.head[A0.ins_h]=v0,v0++,--i0;);A0.strstart=v0,A0.lookahead=sc-1,$0(A0)}return A0.strstart+=A0.lookahead,A0.block_start=A0.strstart,A0.insert=A0.lookahead,A0.lookahead=0,A0.match_length=A0.prev_length=sc-1,A0.match_available=0,r0.next_in=L0,r0.input=O0,r0.avail_in=E0,A0.wrap=S0,Z},s.deflateInfo="pako deflate (from Nodeca project)"},{"../utils/common":41,"./adler32":43,"./crc32":45,"./messages":51,"./trees":52}],47:[function(r,a,s){a.exports=function(){this.text=0,this.time=0,this.xflags=0,this.os=0,this.extra=null,this.extra_len=0,this.name="",this.comment="",this.hcrc=0,this.done=!1}},{}],48:[function(r,a,s){a.exports=function(l,u){var _,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc,lc,e0,dc,kc;_=l.state,m=l.next_in,dc=l.input,g=m+(l.avail_in-5),f=l.next_out,kc=l.output,x=f-(u-l.avail_out),w=f+(l.avail_out-257),Z=_.dmax,Ce=_.wsize,ne=_.whave,$e=_.wnext,Ie=_.window,Dt=_.hold,Lr=_.bits,ec=_.lencode,ys=_.distcode,tc=(1<<_.lenbits)-1,nc=(1<<_.distbits)-1;e:do{Lr<15&&(Dt+=dc[m++]<<Lr,Lr+=8,Dt+=dc[m++]<<Lr,Lr+=8),ac=ec[Dt&tc];t:for(;;){if(Dt>>>=sc=ac>>>24,Lr-=sc,(sc=ac>>>16&255)===0)kc[f++]=65535&ac;else{if(!(16&sc)){if(!(64&sc)){ac=ec[(65535&ac)+(Dt&(1<<sc)-1)];continue t}if(32&sc){_.mode=12;break e}l.msg="invalid literal/length code",_.mode=30;break e}cc=65535&ac,(sc&=15)&&(Lr<sc&&(Dt+=dc[m++]<<Lr,Lr+=8),cc+=Dt&(1<<sc)-1,Dt>>>=sc,Lr-=sc),Lr<15&&(Dt+=dc[m++]<<Lr,Lr+=8,Dt+=dc[m++]<<Lr,Lr+=8),ac=ys[Dt&nc];n:for(;;){if(Dt>>>=sc=ac>>>24,Lr-=sc,!(16&(sc=ac>>>16&255))){if(!(64&sc)){ac=ys[(65535&ac)+(Dt&(1<<sc)-1)];continue n}l.msg="invalid distance code",_.mode=30;break e}if(uc=65535&ac,Lr<(sc&=15)&&(Dt+=dc[m++]<<Lr,(Lr+=8)<sc&&(Dt+=dc[m++]<<Lr,Lr+=8)),Z<(uc+=Dt&(1<<sc)-1)){l.msg="invalid distance too far back",_.mode=30;break e}if(Dt>>>=sc,Lr-=sc,(sc=f-x)<uc){if(ne<(sc=uc-sc)&&_.sane){l.msg="invalid distance too far back",_.mode=30;break e}if(e0=Ie,(lc=0)===$e){if(lc+=Ce-sc,sc<cc){for(cc-=sc;kc[f++]=Ie[lc++],--sc;);lc=f-uc,e0=kc}}else if($e<sc){if(lc+=Ce+$e-sc,(sc-=$e)<cc){for(cc-=sc;kc[f++]=Ie[lc++],--sc;);if(lc=0,$e<cc){for(cc-=sc=$e;kc[f++]=Ie[lc++],--sc;);lc=f-uc,e0=kc}}}else if(lc+=$e-sc,sc<cc){for(cc-=sc;kc[f++]=Ie[lc++],--sc;);lc=f-uc,e0=kc}for(;2<cc;)kc[f++]=e0[lc++],kc[f++]=e0[lc++],kc[f++]=e0[lc++],cc-=3;cc&&(kc[f++]=e0[lc++],1<cc&&(kc[f++]=e0[lc++]))}else{for(lc=f-uc;kc[f++]=kc[lc++],kc[f++]=kc[lc++],kc[f++]=kc[lc++],2<(cc-=3););cc&&(kc[f++]=kc[lc++],1<cc&&(kc[f++]=kc[lc++]))}break}}break}}while(m<g&&f<w);m-=cc=Lr>>3,Dt&=(1<<(Lr-=cc<<3))-1,l.next_in=m,l.next_out=f,l.avail_in=m<g?g-m+5:5-(m-g),l.avail_out=f<w?w-f+257:257-(f-w),_.hold=Dt,_.bits=Lr}},{}],49:[function(r,a,s){var l=r("../utils/common"),u=r("./adler32"),_=r("./crc32"),m=r("./inffast"),g=r("./inftrees"),f=1,x=2,w=0,Z=-2,Ce=1,ne=852,$e=592;function Ie(lc){return(lc>>>24&255)+(lc>>>8&65280)+((65280&lc)<<8)+((255&lc)<<24)}function Dt(){this.mode=0,this.last=!1,this.wrap=0,this.havedict=!1,this.flags=0,this.dmax=0,this.check=0,this.total=0,this.head=null,this.wbits=0,this.wsize=0,this.whave=0,this.wnext=0,this.window=null,this.hold=0,this.bits=0,this.length=0,this.offset=0,this.extra=0,this.lencode=null,this.distcode=null,this.lenbits=0,this.distbits=0,this.ncode=0,this.nlen=0,this.ndist=0,this.have=0,this.next=null,this.lens=new l.Buf16(320),this.work=new l.Buf16(288),this.lendyn=null,this.distdyn=null,this.sane=0,this.back=0,this.was=0}function Lr(lc){var e0;return lc&&lc.state?(e0=lc.state,lc.total_in=lc.total_out=e0.total=0,lc.msg="",e0.wrap&&(lc.adler=1&e0.wrap),e0.mode=Ce,e0.last=0,e0.havedict=0,e0.dmax=32768,e0.head=null,e0.hold=0,e0.bits=0,e0.lencode=e0.lendyn=new l.Buf32(ne),e0.distcode=e0.distdyn=new l.Buf32($e),e0.sane=1,e0.back=-1,w):Z}function ec(lc){var e0;return lc&&lc.state?((e0=lc.state).wsize=0,e0.whave=0,e0.wnext=0,Lr(lc)):Z}function ys(lc,e0){var dc,kc;return lc&&lc.state?(kc=lc.state,e0<0?(dc=0,e0=-e0):(dc=1+(e0>>4),e0<48&&(e0&=15)),e0&&(e0<8||15<e0)?Z:(kc.window!==null&&kc.wbits!==e0&&(kc.window=null),kc.wrap=dc,kc.wbits=e0,ec(lc))):Z}function tc(lc,e0){var dc,kc;return lc?(kc=new Dt,(lc.state=kc).window=null,(dc=ys(lc,e0))!==w&&(lc.state=null),dc):Z}var nc,ac,sc=!0;function cc(lc){if(sc){var e0;for(nc=new l.Buf32(512),ac=new l.Buf32(32),e0=0;e0<144;)lc.lens[e0++]=8;for(;e0<256;)lc.lens[e0++]=9;for(;e0<280;)lc.lens[e0++]=7;for(;e0<288;)lc.lens[e0++]=8;for(g(f,lc.lens,0,288,nc,0,lc.work,{bits:9}),e0=0;e0<32;)lc.lens[e0++]=5;g(x,lc.lens,0,32,ac,0,lc.work,{bits:5}),sc=!1}lc.lencode=nc,lc.lenbits=9,lc.distcode=ac,lc.distbits=5}function uc(lc,e0,dc,kc){var Jc,n0=lc.state;return n0.window===null&&(n0.wsize=1<<n0.wbits,n0.wnext=0,n0.whave=0,n0.window=new l.Buf8(n0.wsize)),kc>=n0.wsize?(l.arraySet(n0.window,e0,dc-n0.wsize,n0.wsize,0),n0.wnext=0,n0.whave=n0.wsize):(kc<(Jc=n0.wsize-n0.wnext)&&(Jc=kc),l.arraySet(n0.window,e0,dc-kc,Jc,n0.wnext),(kc-=Jc)?(l.arraySet(n0.window,e0,dc-kc,kc,0),n0.wnext=kc,n0.whave=n0.wsize):(n0.wnext+=Jc,n0.wnext===n0.wsize&&(n0.wnext=0),n0.whave<n0.wsize&&(n0.whave+=Jc))),0}s.inflateReset=ec,s.inflateReset2=ys,s.inflateResetKeep=Lr,s.inflateInit=function(lc){return tc(lc,15)},s.inflateInit2=tc,s.inflate=function(lc,e0){var dc,kc,Jc,n0,d0,t0,h0,_0,c0,f0,q0,D0,$0,k0,R0,C0,I0,Y0,K0,W0,r0,b0,A0,v0,i0=0,S0=new l.Buf8(4),E0=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15];if(!lc||!lc.state||!lc.output||!lc.input&&lc.avail_in!==0)return Z;(dc=lc.state).mode===12&&(dc.mode=13),d0=lc.next_out,Jc=lc.output,h0=lc.avail_out,n0=lc.next_in,kc=lc.input,t0=lc.avail_in,_0=dc.hold,c0=dc.bits,f0=t0,q0=h0,b0=w;e:for(;;)switch(dc.mode){case Ce:if(dc.wrap===0){dc.mode=13;break}for(;c0<16;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(2&dc.wrap&&_0===35615){S0[dc.check=0]=255&_0,S0[1]=_0>>>8&255,dc.check=_(dc.check,S0,2,0),c0=_0=0,dc.mode=2;break}if(dc.flags=0,dc.head&&(dc.head.done=!1),!(1&dc.wrap)||(((255&_0)<<8)+(_0>>8))%31){lc.msg="incorrect header check",dc.mode=30;break}if((15&_0)!=8){lc.msg="unknown compression method",dc.mode=30;break}if(c0-=4,r0=8+(15&(_0>>>=4)),dc.wbits===0)dc.wbits=r0;else if(r0>dc.wbits){lc.msg="invalid window size",dc.mode=30;break}dc.dmax=1<<r0,lc.adler=dc.check=1,dc.mode=512&_0?10:12,c0=_0=0;break;case 2:for(;c0<16;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(dc.flags=_0,(255&dc.flags)!=8){lc.msg="unknown compression method",dc.mode=30;break}if(57344&dc.flags){lc.msg="unknown header flags set",dc.mode=30;break}dc.head&&(dc.head.text=_0>>8&1),512&dc.flags&&(S0[0]=255&_0,S0[1]=_0>>>8&255,dc.check=_(dc.check,S0,2,0)),c0=_0=0,dc.mode=3;case 3:for(;c0<32;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}dc.head&&(dc.head.time=_0),512&dc.flags&&(S0[0]=255&_0,S0[1]=_0>>>8&255,S0[2]=_0>>>16&255,S0[3]=_0>>>24&255,dc.check=_(dc.check,S0,4,0)),c0=_0=0,dc.mode=4;case 4:for(;c0<16;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}dc.head&&(dc.head.xflags=255&_0,dc.head.os=_0>>8),512&dc.flags&&(S0[0]=255&_0,S0[1]=_0>>>8&255,dc.check=_(dc.check,S0,2,0)),c0=_0=0,dc.mode=5;case 5:if(1024&dc.flags){for(;c0<16;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}dc.length=_0,dc.head&&(dc.head.extra_len=_0),512&dc.flags&&(S0[0]=255&_0,S0[1]=_0>>>8&255,dc.check=_(dc.check,S0,2,0)),c0=_0=0}else dc.head&&(dc.head.extra=null);dc.mode=6;case 6:if(1024&dc.flags&&(t0<(D0=dc.length)&&(D0=t0),D0&&(dc.head&&(r0=dc.head.extra_len-dc.length,dc.head.extra||(dc.head.extra=new Array(dc.head.extra_len)),l.arraySet(dc.head.extra,kc,n0,D0,r0)),512&dc.flags&&(dc.check=_(dc.check,kc,D0,n0)),t0-=D0,n0+=D0,dc.length-=D0),dc.length))break e;dc.length=0,dc.mode=7;case 7:if(2048&dc.flags){if(t0===0)break e;for(D0=0;r0=kc[n0+D0++],dc.head&&r0&&dc.length<65536&&(dc.head.name+=String.fromCharCode(r0)),r0&&D0<t0;);if(512&dc.flags&&(dc.check=_(dc.check,kc,D0,n0)),t0-=D0,n0+=D0,r0)break e}else dc.head&&(dc.head.name=null);dc.length=0,dc.mode=8;case 8:if(4096&dc.flags){if(t0===0)break e;for(D0=0;r0=kc[n0+D0++],dc.head&&r0&&dc.length<65536&&(dc.head.comment+=String.fromCharCode(r0)),r0&&D0<t0;);if(512&dc.flags&&(dc.check=_(dc.check,kc,D0,n0)),t0-=D0,n0+=D0,r0)break e}else dc.head&&(dc.head.comment=null);dc.mode=9;case 9:if(512&dc.flags){for(;c0<16;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(_0!==(65535&dc.check)){lc.msg="header crc mismatch",dc.mode=30;break}c0=_0=0}dc.head&&(dc.head.hcrc=dc.flags>>9&1,dc.head.done=!0),lc.adler=dc.check=0,dc.mode=12;break;case 10:for(;c0<32;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}lc.adler=dc.check=Ie(_0),c0=_0=0,dc.mode=11;case 11:if(dc.havedict===0)return lc.next_out=d0,lc.avail_out=h0,lc.next_in=n0,lc.avail_in=t0,dc.hold=_0,dc.bits=c0,2;lc.adler=dc.check=1,dc.mode=12;case 12:if(e0===5||e0===6)break e;case 13:if(dc.last){_0>>>=7&c0,c0-=7&c0,dc.mode=27;break}for(;c0<3;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}switch(dc.last=1&_0,c0-=1,3&(_0>>>=1)){case 0:dc.mode=14;break;case 1:if(cc(dc),dc.mode=20,e0!==6)break;_0>>>=2,c0-=2;break e;case 2:dc.mode=17;break;case 3:lc.msg="invalid block type",dc.mode=30}_0>>>=2,c0-=2;break;case 14:for(_0>>>=7&c0,c0-=7&c0;c0<32;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if((65535&_0)!=(_0>>>16^65535)){lc.msg="invalid stored block lengths",dc.mode=30;break}if(dc.length=65535&_0,c0=_0=0,dc.mode=15,e0===6)break e;case 15:dc.mode=16;case 16:if(D0=dc.length){if(t0<D0&&(D0=t0),h0<D0&&(D0=h0),D0===0)break e;l.arraySet(Jc,kc,n0,D0,d0),t0-=D0,n0+=D0,h0-=D0,d0+=D0,dc.length-=D0;break}dc.mode=12;break;case 17:for(;c0<14;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(dc.nlen=257+(31&_0),_0>>>=5,c0-=5,dc.ndist=1+(31&_0),_0>>>=5,c0-=5,dc.ncode=4+(15&_0),_0>>>=4,c0-=4,286<dc.nlen||30<dc.ndist){lc.msg="too many length or distance symbols",dc.mode=30;break}dc.have=0,dc.mode=18;case 18:for(;dc.have<dc.ncode;){for(;c0<3;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}dc.lens[E0[dc.have++]]=7&_0,_0>>>=3,c0-=3}for(;dc.have<19;)dc.lens[E0[dc.have++]]=0;if(dc.lencode=dc.lendyn,dc.lenbits=7,A0={bits:dc.lenbits},b0=g(0,dc.lens,0,19,dc.lencode,0,dc.work,A0),dc.lenbits=A0.bits,b0){lc.msg="invalid code lengths set",dc.mode=30;break}dc.have=0,dc.mode=19;case 19:for(;dc.have<dc.nlen+dc.ndist;){for(;C0=(i0=dc.lencode[_0&(1<<dc.lenbits)-1])>>>16&255,I0=65535&i0,!((R0=i0>>>24)<=c0);){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(I0<16)_0>>>=R0,c0-=R0,dc.lens[dc.have++]=I0;else{if(I0===16){for(v0=R0+2;c0<v0;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(_0>>>=R0,c0-=R0,dc.have===0){lc.msg="invalid bit length repeat",dc.mode=30;break}r0=dc.lens[dc.have-1],D0=3+(3&_0),_0>>>=2,c0-=2}else if(I0===17){for(v0=R0+3;c0<v0;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}c0-=R0,r0=0,D0=3+(7&(_0>>>=R0)),_0>>>=3,c0-=3}else{for(v0=R0+7;c0<v0;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}c0-=R0,r0=0,D0=11+(127&(_0>>>=R0)),_0>>>=7,c0-=7}if(dc.have+D0>dc.nlen+dc.ndist){lc.msg="invalid bit length repeat",dc.mode=30;break}for(;D0--;)dc.lens[dc.have++]=r0}}if(dc.mode===30)break;if(dc.lens[256]===0){lc.msg="invalid code -- missing end-of-block",dc.mode=30;break}if(dc.lenbits=9,A0={bits:dc.lenbits},b0=g(f,dc.lens,0,dc.nlen,dc.lencode,0,dc.work,A0),dc.lenbits=A0.bits,b0){lc.msg="invalid literal/lengths set",dc.mode=30;break}if(dc.distbits=6,dc.distcode=dc.distdyn,A0={bits:dc.distbits},b0=g(x,dc.lens,dc.nlen,dc.ndist,dc.distcode,0,dc.work,A0),dc.distbits=A0.bits,b0){lc.msg="invalid distances set",dc.mode=30;break}if(dc.mode=20,e0===6)break e;case 20:dc.mode=21;case 21:if(6<=t0&&258<=h0){lc.next_out=d0,lc.avail_out=h0,lc.next_in=n0,lc.avail_in=t0,dc.hold=_0,dc.bits=c0,m(lc,q0),d0=lc.next_out,Jc=lc.output,h0=lc.avail_out,n0=lc.next_in,kc=lc.input,t0=lc.avail_in,_0=dc.hold,c0=dc.bits,dc.mode===12&&(dc.back=-1);break}for(dc.back=0;C0=(i0=dc.lencode[_0&(1<<dc.lenbits)-1])>>>16&255,I0=65535&i0,!((R0=i0>>>24)<=c0);){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(C0&&!(240&C0)){for(Y0=R0,K0=C0,W0=I0;C0=(i0=dc.lencode[W0+((_0&(1<<Y0+K0)-1)>>Y0)])>>>16&255,I0=65535&i0,!(Y0+(R0=i0>>>24)<=c0);){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}_0>>>=Y0,c0-=Y0,dc.back+=Y0}if(_0>>>=R0,c0-=R0,dc.back+=R0,dc.length=I0,C0===0){dc.mode=26;break}if(32&C0){dc.back=-1,dc.mode=12;break}if(64&C0){lc.msg="invalid literal/length code",dc.mode=30;break}dc.extra=15&C0,dc.mode=22;case 22:if(dc.extra){for(v0=dc.extra;c0<v0;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}dc.length+=_0&(1<<dc.extra)-1,_0>>>=dc.extra,c0-=dc.extra,dc.back+=dc.extra}dc.was=dc.length,dc.mode=23;case 23:for(;C0=(i0=dc.distcode[_0&(1<<dc.distbits)-1])>>>16&255,I0=65535&i0,!((R0=i0>>>24)<=c0);){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(!(240&C0)){for(Y0=R0,K0=C0,W0=I0;C0=(i0=dc.distcode[W0+((_0&(1<<Y0+K0)-1)>>Y0)])>>>16&255,I0=65535&i0,!(Y0+(R0=i0>>>24)<=c0);){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}_0>>>=Y0,c0-=Y0,dc.back+=Y0}if(_0>>>=R0,c0-=R0,dc.back+=R0,64&C0){lc.msg="invalid distance code",dc.mode=30;break}dc.offset=I0,dc.extra=15&C0,dc.mode=24;case 24:if(dc.extra){for(v0=dc.extra;c0<v0;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}dc.offset+=_0&(1<<dc.extra)-1,_0>>>=dc.extra,c0-=dc.extra,dc.back+=dc.extra}if(dc.offset>dc.dmax){lc.msg="invalid distance too far back",dc.mode=30;break}dc.mode=25;case 25:if(h0===0)break e;if(D0=q0-h0,dc.offset>D0){if((D0=dc.offset-D0)>dc.whave&&dc.sane){lc.msg="invalid distance too far back",dc.mode=30;break}$0=D0>dc.wnext?(D0-=dc.wnext,dc.wsize-D0):dc.wnext-D0,D0>dc.length&&(D0=dc.length),k0=dc.window}else k0=Jc,$0=d0-dc.offset,D0=dc.length;for(h0<D0&&(D0=h0),h0-=D0,dc.length-=D0;Jc[d0++]=k0[$0++],--D0;);dc.length===0&&(dc.mode=21);break;case 26:if(h0===0)break e;Jc[d0++]=dc.length,h0--,dc.mode=21;break;case 27:if(dc.wrap){for(;c0<32;){if(t0===0)break e;t0--,_0|=kc[n0++]<<c0,c0+=8}if(q0-=h0,lc.total_out+=q0,dc.total+=q0,q0&&(lc.adler=dc.check=dc.flags?_(dc.check,Jc,q0,d0-q0):u(dc.check,Jc,q0,d0-q0)),q0=h0,(dc.flags?_0:Ie(_0))!==dc.check){lc.msg="incorrect data check",dc.mode=30;break}c0=_0=0}dc.mode=28;case 28:if(dc.wrap&&dc.flags){for(;c0<32;){if(t0===0)break e;t0--,_0+=kc[n0++]<<c0,c0+=8}if(_0!==(4294967295&dc.total)){lc.msg="incorrect length check",dc.mode=30;break}c0=_0=0}dc.mode=29;case 29:b0=1;break e;case 30:b0=-3;break e;case 31:return-4;case 32:default:return Z}return lc.next_out=d0,lc.avail_out=h0,lc.next_in=n0,lc.avail_in=t0,dc.hold=_0,dc.bits=c0,(dc.wsize||q0!==lc.avail_out&&dc.mode<30&&(dc.mode<27||e0!==4))&&uc(lc,lc.output,lc.next_out,q0-lc.avail_out)?(dc.mode=31,-4):(f0-=lc.avail_in,q0-=lc.avail_out,lc.total_in+=f0,lc.total_out+=q0,dc.total+=q0,dc.wrap&&q0&&(lc.adler=dc.check=dc.flags?_(dc.check,Jc,q0,lc.next_out-q0):u(dc.check,Jc,q0,lc.next_out-q0)),lc.data_type=dc.bits+(dc.last?64:0)+(dc.mode===12?128:0)+(dc.mode===20||dc.mode===15?256:0),(f0==0&&q0===0||e0===4)&&b0===w&&(b0=-5),b0)},s.inflateEnd=function(lc){if(!lc||!lc.state)return Z;var e0=lc.state;return e0.window&&(e0.window=null),lc.state=null,w},s.inflateGetHeader=function(lc,e0){var dc;return lc&&lc.state&&2&(dc=lc.state).wrap?((dc.head=e0).done=!1,w):Z},s.inflateSetDictionary=function(lc,e0){var dc,kc=e0.length;return lc&&lc.state?(dc=lc.state).wrap!==0&&dc.mode!==11?Z:dc.mode===11&&u(1,e0,kc,0)!==dc.check?-3:uc(lc,e0,kc,kc)?(dc.mode=31,-4):(dc.havedict=1,w):Z},s.inflateInfo="pako inflate (from Nodeca project)"},{"../utils/common":41,"./adler32":43,"./crc32":45,"./inffast":48,"./inftrees":50}],50:[function(r,a,s){var l=r("../utils/common"),u=[3,4,5,6,7,8,9,10,11,13,15,17,19,23,27,31,35,43,51,59,67,83,99,115,131,163,195,227,258,0,0],_=[16,16,16,16,16,16,16,16,17,17,17,17,18,18,18,18,19,19,19,19,20,20,20,20,21,21,21,21,16,72,78],m=[1,2,3,4,5,7,9,13,17,25,33,49,65,97,129,193,257,385,513,769,1025,1537,2049,3073,4097,6145,8193,12289,16385,24577,0,0],g=[16,16,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25,25,26,26,27,27,28,28,29,29,64,64];a.exports=function(f,x,w,Z,Ce,ne,$e,Ie){var Dt,Lr,ec,ys,tc,nc,ac,sc,cc,uc=Ie.bits,lc=0,e0=0,dc=0,kc=0,Jc=0,n0=0,d0=0,t0=0,h0=0,_0=0,c0=null,f0=0,q0=new l.Buf16(16),D0=new l.Buf16(16),$0=null,k0=0;for(lc=0;lc<=15;lc++)q0[lc]=0;for(e0=0;e0<Z;e0++)q0[x[w+e0]]++;for(Jc=uc,kc=15;1<=kc&&q0[kc]===0;kc--);if(kc<Jc&&(Jc=kc),kc===0)return Ce[ne++]=20971520,Ce[ne++]=20971520,Ie.bits=1,0;for(dc=1;dc<kc&&q0[dc]===0;dc++);for(Jc<dc&&(Jc=dc),lc=t0=1;lc<=15;lc++)if(t0<<=1,(t0-=q0[lc])<0)return-1;if(0<t0&&(f===0||kc!==1))return-1;for(D0[1]=0,lc=1;lc<15;lc++)D0[lc+1]=D0[lc]+q0[lc];for(e0=0;e0<Z;e0++)x[w+e0]!==0&&($e[D0[x[w+e0]]++]=e0);if(nc=f===0?(c0=$0=$e,19):f===1?(c0=u,f0-=257,$0=_,k0-=257,256):(c0=m,$0=g,-1),lc=dc,tc=ne,d0=e0=_0=0,ec=-1,ys=(h0=1<<(n0=Jc))-1,f===1&&852<h0||f===2&&592<h0)return 1;for(;;){for(ac=lc-d0,cc=$e[e0]<nc?(sc=0,$e[e0]):$e[e0]>nc?(sc=$0[k0+$e[e0]],c0[f0+$e[e0]]):(sc=96,0),Dt=1<<lc-d0,dc=Lr=1<<n0;Ce[tc+(_0>>d0)+(Lr-=Dt)]=ac<<24|sc<<16|cc|0,Lr!==0;);for(Dt=1<<lc-1;_0&Dt;)Dt>>=1;if(Dt!==0?(_0&=Dt-1,_0+=Dt):_0=0,e0++,--q0[lc]==0){if(lc===kc)break;lc=x[w+$e[e0]]}if(Jc<lc&&(_0&ys)!==ec){for(d0===0&&(d0=Jc),tc+=dc,t0=1<<(n0=lc-d0);n0+d0<kc&&!((t0-=q0[n0+d0])<=0);)n0++,t0<<=1;if(h0+=1<<n0,f===1&&852<h0||f===2&&592<h0)return 1;Ce[ec=_0&ys]=Jc<<24|n0<<16|tc-ne|0}}return _0!==0&&(Ce[tc+_0]=lc-d0<<24|64<<16|0),Ie.bits=Jc,0}},{"../utils/common":41}],51:[function(r,a,s){a.exports={2:"need dictionary",1:"stream end",0:"","-1":"file error","-2":"stream error","-3":"data error","-4":"insufficient memory","-5":"buffer error","-6":"incompatible version"}},{}],52:[function(r,a,s){var l=r("../utils/common"),u=0,_=1;function m(i0){for(var S0=i0.length;0<=--S0;)i0[S0]=0}var g=0,f=29,x=256,w=x+1+f,Z=30,Ce=19,ne=2*w+1,$e=15,Ie=16,Dt=7,Lr=256,ec=16,ys=17,tc=18,nc=[0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,0],ac=[0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13],sc=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,7],cc=[16,17,18,0,8,7,9,6,10,5,11,4,12,3,13,2,14,1,15],uc=new Array(2*(w+2));m(uc);var lc=new Array(2*Z);m(lc);var e0=new Array(512);m(e0);var dc=new Array(256);m(dc);var kc=new Array(f);m(kc);var Jc,n0,d0,t0=new Array(Z);function h0(i0,S0,E0,L0,O0){this.static_tree=i0,this.extra_bits=S0,this.extra_base=E0,this.elems=L0,this.max_length=O0,this.has_stree=i0&&i0.length}function _0(i0,S0){this.dyn_tree=i0,this.max_code=0,this.stat_desc=S0}function c0(i0){return i0<256?e0[i0]:e0[256+(i0>>>7)]}function f0(i0,S0){i0.pending_buf[i0.pending++]=255&S0,i0.pending_buf[i0.pending++]=S0>>>8&255}function q0(i0,S0,E0){i0.bi_valid>Ie-E0?(i0.bi_buf|=S0<<i0.bi_valid&65535,f0(i0,i0.bi_buf),i0.bi_buf=S0>>Ie-i0.bi_valid,i0.bi_valid+=E0-Ie):(i0.bi_buf|=S0<<i0.bi_valid&65535,i0.bi_valid+=E0)}function D0(i0,S0,E0){q0(i0,E0[2*S0],E0[2*S0+1])}function $0(i0,S0){for(var E0=0;E0|=1&i0,i0>>>=1,E0<<=1,0<--S0;);return E0>>>1}function k0(i0,S0,E0){var L0,O0,P0=new Array($e+1),w0=0;for(L0=1;L0<=$e;L0++)P0[L0]=w0=w0+E0[L0-1]<<1;for(O0=0;O0<=S0;O0++){var U0=i0[2*O0+1];U0!==0&&(i0[2*O0]=$0(P0[U0]++,U0))}}function R0(i0){var S0;for(S0=0;S0<w;S0++)i0.dyn_ltree[2*S0]=0;for(S0=0;S0<Z;S0++)i0.dyn_dtree[2*S0]=0;for(S0=0;S0<Ce;S0++)i0.bl_tree[2*S0]=0;i0.dyn_ltree[2*Lr]=1,i0.opt_len=i0.static_len=0,i0.last_lit=i0.matches=0}function C0(i0){8<i0.bi_valid?f0(i0,i0.bi_buf):0<i0.bi_valid&&(i0.pending_buf[i0.pending++]=i0.bi_buf),i0.bi_buf=0,i0.bi_valid=0}function I0(i0,S0,E0,L0){var O0=2*S0,P0=2*E0;return i0[O0]<i0[P0]||i0[O0]===i0[P0]&&L0[S0]<=L0[E0]}function Y0(i0,S0,E0){for(var L0=i0.heap[E0],O0=E0<<1;O0<=i0.heap_len&&(O0<i0.heap_len&&I0(S0,i0.heap[O0+1],i0.heap[O0],i0.depth)&&O0++,!I0(S0,L0,i0.heap[O0],i0.depth));)i0.heap[E0]=i0.heap[O0],E0=O0,O0<<=1;i0.heap[E0]=L0}function K0(i0,S0,E0){var L0,O0,P0,w0,U0=0;if(i0.last_lit!==0)for(;L0=i0.pending_buf[i0.d_buf+2*U0]<<8|i0.pending_buf[i0.d_buf+2*U0+1],O0=i0.pending_buf[i0.l_buf+U0],U0++,L0===0?D0(i0,O0,S0):(D0(i0,(P0=dc[O0])+x+1,S0),(w0=nc[P0])!==0&&q0(i0,O0-=kc[P0],w0),D0(i0,P0=c0(--L0),E0),(w0=ac[P0])!==0&&q0(i0,L0-=t0[P0],w0)),U0<i0.last_lit;);D0(i0,Lr,S0)}function 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Je
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a=indiceFinBalise(ne.substring(r)),a===-1?getMaths(ne.substring(0,r),t)+"\\textit{"+getMaths(ne.substring(r+3),!1)+"}":(a+=r,getMaths(ne.substring(0,r),t)+"\\textit{"+getMaths(ne.substring(r+3,a-4),!1)+"}"+getMaths(ne.substring(a),t));for(;(r=ne.indexOf("<b>"))!==-1;)return a=indiceFinBalise(ne.substring(r)),a===-1?getMaths(ne.substring(0,r),t)+"\\textbf{"+getMaths(ne.substring(r+3),!1)+"}":(a+=r,getMaths(ne.substring(0,r),t)+"\\textbf{"+getMaths(ne.substring(r+3,a-4),!1)+"}"+getMaths(ne.substring(a),t));if(t){if(Ce=ne.charAt(0),Ce===")"||Ce===","||Ce==="}")return Ce+getMaths(ne.substring(1),t);if(contientBaliseLaTeX(ne))return ne;if(r=ne.indexOf("\\textcolor{"),r!==-1){for(f="",m=ne;(r=m.indexOf("\\textcolor{"))!==-1;)l=m.indexOf("}{"),a=accoladeFermante(m,l+1),a===-1?r===0?(l+2!==m.length?f+=m.substring(0,l+2)+"\\text{"+m.substring(l+2)+"}":f+=m,m=""):(l+2!==m.length?f+="\\text{"+m.substring(0,r)+"}"+m.substring(r,l+2)+"\\text{"+m.substring(l+2)+"}":f+="\\text{"+m.substring(0,r)+"}"+m.substring(r,l+2),m=""):r===0?(f+=m.substring(0,a+1),a<m.length-1?m=m.substring(a+1):m=""):(f+="\\text{"+m.substring(0,r)+"}"+m.substring(r,l+2)+"\\text{"+m.substring(l+2,a+1)+"}",a<m.length-1?m=m.substring(a+1):m="");return m===""?f:f+"\\text{"+m+"}"}else{let $e=0,Ie=0;for(;ne.charAt(Ie)===" ";)$e++,Ie++;return"~".repeat($e)+"\\text{"+ne.substring(Ie)+"}"}}else return ne}function getMathsForName(n,t){let r,a,s,l,u,_,m,g,f,x,w=n;if(w==="")return"";for(;(r=w.indexOf("<font"))!==-1;)return g=null,m=w.substring(r),a=indiceFinBalise(m),l=m.indexOf('couleur="'),l!==-1?(u=m.indexOf('"',l+9),u!==-1&&(g=getSvgColor(m.substring(l+9,u)))):(l=m.indexOf('color="'),l!==-1&&(u=m.indexOf('"',l+7),u!==-1&&(g=getSvgColor(m.substring(l+7,u))))),g!==null?(_=r+m.indexOf(">")+1,a===-1?getMathsForName(w.substring(0,r)+"\\textcolor{"+g+"}{"+w.substring(_)+"}",t):(a+=r,getMathsForName(w.substring(0,r)+"\\textcolor{"+g+"}{"+w.substring(_,a-7)+"}"+w.substring(a),t))):(_=r+m.indexOf(">")+1,a===-1?getMathsForName(w.substring(0,r)+w.substring(_),t):(a+=r,getMathsForName(w.substring(0,r)+w.substring(_,a-7)+w.substring(a),t)));for(;(r=w.indexOf("£u("))!==-1;)return a=indiceParentheseFermante(w,r+2),a===-1?w:getMathsForName(w.substring(0,r),t)+"\\unicode{x"+w.substring(r+3,a)+"}"+getMathsForName(w.substring(a+1),t);for(;(r=w.indexOf("£r("))!==-1;)return a=indiceParentheseFermante(w,r+2),a===-1?w:getMathsForName(getMathsForName(w.substring(0,r),t)+"\\sqrt{"+getMathsForName(w.substring(r+3,a),!1)+"}"+getMathsForName(w.substring(a+1),t),t);for(;(r=w.indexOf("£d("))!==-1;)return a=indiceParentheseFermante(w,r+2),a===-1?w:getMathsForName(getMathsForName(w.substring(0,r),t)+"\\left|"+getMathsForName(w.substring(r+3,a),!1)+"\\right|"+getMathsForName(w.substring(a+1),t),t);for(;(r=w.indexOf("£n("))!==-1;)return a=indiceParentheseFermante(w,r+2),a===-1?w:getMathsForName(getMathsForName(w.substring(0,r),t)+"\\left\\|"+getMathsForName(w.substring(r+3,a),!1)+"\\right\\|"+getMathsForName(w.substring(a+1),t));for(;(r=w.indexOf("£i("))!==-1;)return s=indiceVirgule(w,r+3,1),a=indiceParentheseFermante(w,r+2),s===-1||a===-1||s>a?w:getMathsForName(getMathsForName(w.substring(0,r),t)+"{"+getMathsForName(w.substring(r+3,s),!0)+"}_{"+getMathsForName(w.substring(s+1,a),!1)+"}"+getMathsForName(w.substring(a+1),t),t);for(;(r=w.indexOf("£e("))!==-1;)return s=indiceVirgule(w,r+3,1),a=indiceParentheseFermante(w,r+2),s===-1||a===-1||s>a?w:getMathsForName(getMathsForName(w.substring(0,r),t)+"{"+getMathsForName(w.substring(r+3,s),!0)+"}^{"+getMathsForName(w.substring(s+1,a),!1)+"}"+getMathsForName(w.substring(a+1),t));for(;(r=w.indexOf("£v("))!==-1;)return a=indiceParentheseFermante(w,r+2),a===-1?w:getMathsForName(getMathsForName(w.substring(0,r),t)+"\\overrightarrow{"+getMathsForName(w.substring(r+3,a),!1)+"}"+getMathsForName(w.substring(a+1),t),t);for(;(r=w.indexOf("<u>"))!==-1;)return a=indiceFinBalise(w.substring(r)),a===-1?w:(a+=r,getMathsForName(w.substring(0,r),t)+"\\underline{"+getMathsForName(w.substring(r+3,a-4),!0)+"}"+getMathsForName(w.substring(a),t));for(;(r=w.indexOf("<i>"))!==-1;)return a=indiceFinBalise(w.substring(r)),a===-1?getMathsForName(w.substring(0,r),t)+"\\textit{"+getMathsForName(w.substring(r+3),!1)+"}":(a+=r,getMathsForName(w.substring(0,r),t)+"\\textit{"+getMathsForName(w.substring(r+3,a-4),!1)+"}"+getMathsForName(w.substring(a),t));for(;(r=w.indexOf("<b>"))!==-1;)return a=indiceFinBalise(w.substring(r)),a===-1?getMathsForName(w.substring(0,r),t)+"\\textbf{"+getMathsForName(w.substring(r+3),!1)+"}":(a+=r,getMathsForName(w.substring(0,r),t)+"\\textbf{"+getMathsForName(w.substring(r+3,a-4),!1)+"}"+getMathsForName(w.substring(a),t));if(t){if(contientBaliseLaTeX(w))return w;if(r=w.indexOf("\\textcolor{"),r!==-1){for(f="",m=w;(r=m.indexOf("\\textcolor{"))!==-1;)l=m.indexOf("}{"),a=accoladeFermante(m,l+1),a===-1?r===0?(l+2!==m.length?f+=m.substring(0,l+2)+"\\text{"+m.substring(l+2)+"}":f+=m,m=""):(l+2!==m.length?f+="\\text{"+m.substring(0,r)+"}"+m.substring(r,l+2)+"\\text{"+m.substring(l+2)+"}":f+="\\text{"+m.substring(0,r)+"}"+m.substring(r,l+2),m=""):r===0?(f+=m.substring(0,a+1),a<m.length-1?m=m.substring(a+1):m=""):(f+="\\text{"+m.substring(0,r)+"}"+m.substring(r,l+2)+"\\text{"+m.substring(l+2,a+1)+"}",a<m.length-1?m=m.substring(a+1):m="");return m===""?f:f+"\\text{"+m+"}"}else{if(x=w.charAt(0),x===")"||x===","||x==="}")return w;{let Z="";for(;w.indexOf(" ")===0;)Z+="~",w=w.substring(1);return Z+"\\text{"+w+"}"}}}else return w}function getTaille(n,t={}){if(!n||typeof n!="object")throw Error("objet invalide");const r=t.defaut||20,a=t.min||5,s=t.max||199;if(typeof r!="number"||typeof a!="number"||typeof s!="number")throw Error("options invalides");const l=Number(n.taille);return isNaN(l)?(console.error(Error(`taille invalide (${n.taille}) => ${r}`)),r):l<a?(console.error(Error(`taille trop petite (${n.taille} < ${a}) => ${r}`)),r):l>s?(console.error(Error(`taille trop grande (${n.taille} > ${s}) => ${r}`)),r):l}function Vect(n,t,r,a){arguments.length>2?(this.x=r-n,this.y=a-t):(this.x=n,this.y=t)}Vect.prototype.presqueNul=function(){return zero(this.x)&&zero(this.y)};Vect.prototype.norme=function(){return Math.sqrt(this.x*this.x+this.y*this.y)};Vect.prototype.vecteurColineaire=function(n){const t=this.norme();return new Vect(this.x/t*n,this.y/t*n)};Vect.prototype.tourne=function(n){const t=Math.cos(n*convDegRad),r=Math.sin(n*convDegRad);return new Vect(t*this.x-r*this.y,t*this.y+r*this.x)};Vect.prototype.angle=function(){let n;return this.x===0&&this.y===0?0:(this.x===0?this.y>0?n=3*Math.PI/2:n=Math.PI/2:(this.x>=0?n=Math.atan(-this.y/this.x):n=Math.PI-Math.atan(this.y/this.x),n<0&&(n=n+2*Math.PI)),n*convRadDeg)};function InstrumentAncetre(n){this.doc=n,this.x=200,this.y=400,this.angle=0,this.zoomfactor=1,this.visible=!1}InstrumentAncetre.prototype.montre=function(n){this.visible=n,this.g.setAttribute("visibility",n?"visible":"hidden")};InstrumentAncetre.prototype.updateg=function(){this.initialisePosition(),this.doc.svg.removeChild(this.g),this.doc.svg.appendChild(this.g)};InstrumentAncetre.prototype.translate=function(n,t){this.setPosition(n,t,this.angle,this.zoomfactor)};InstrumentAncetre.prototype.angleInit=function(){return 0};InstrumentAncetre.prototype.setPosition=function(n,t,r,a){let s;this.x=n,this.y=t,this.angle=r,arguments.length>=4?(s=a,this.zoomfactor=s):s=this.zoomfactor,this.g.setAttribute("transform","scale("+s+") translate("+String(n/s)+","+String(t/s)+") rotate("+r+")")};InstrumentAncetre.prototype.initialisePosition=function(){this.setPosition(200,400,this.angleInit(),1)};InstrumentAncetre.prototype.lanceAnimationTranslation=function(n,t,r){this.xfin=n,this.yfin=t,this.pix=Math.abs(r/2);const a=new Vect(this.x,this.y,n,t);if(this.dist=a.norme(),this.dist===0){this.doc.actionSuivante();return}this.vect=a.vecteurColineaire(this.pix);const s=this;this.timer=setInterval(function(){s.actionPourTranslation()},25)};InstrumentAncetre.prototype.actionPourTranslation=function(){const n=this.x+this.vect.x,t=this.y+this.vect.y,a=new Vect(n,t,this.xfin,this.yfin).norme();a>this.dist||!this.doc.animationEnCours?(this.setPosition(this.xfin,this.yfin,this.angle),this===this.doc.compas&&this.doc.compasLeve!=null&&this.doc.compasLeve.visible&&this.doc.compasLeve.setPosition(this.xfin,this.yfin,this.angle),clearInterval(this.timer),this.doc.actionSuivante()):(this.dist=a,this.setPosition(n,t,this.angle),this===this.doc.compas&&this.doc.compasLeve!=null&&this.doc.compasLeve.visible&&this.doc.compasLeve.setPosition(n,t,this.angle))};InstrumentAncetre.prototype.lanceAnimationRotation=function(n,t){const r=mesurePrincDeg(this.angle);let a=mesurePrincDeg(n);Math.abs(a-r)>180&&(a>r?a=a-360:a=a+360),this.anglefin=a,this.angle=r,this.pasdeg=t/3,this.pasdeg*=a>=r?1:-1,this.distang=Math.abs(a-this.angle);const s=this;this.timer=setInterval(function(){s.actionPourRotation()},25)};InstrumentAncetre.prototype.actionPourRotation=function(){const n=parseFloat(this.angle)+parseFloat(this.pasdeg),t=Math.abs(n-this.anglefin);t>this.distang||!this.doc.animationEnCours?(this.setPosition(this.x,this.y,this.anglefin),clearInterval(this.timer),this.doc.actionSuivante()):(this.distang=t,this.setPosition(this.x,this.y,n))};InstrumentAncetre.prototype.lanceAnimationZoom=function(n,t){this.zoomfin=n,this.vitesse=parseInt(t),this.pas=this.vitesse*.05*(this.zoomfin-this.zoomfactor),this.senspos=this.pas>=0;const r=this;this.timer=setInterval(function(){r.actionPourZoom()},100)};InstrumentAncetre.prototype.actionPourZoom=function(){const n=this.zoomfactor+this.pas;this.doc.animationEnCours&&(this.senspos&&n<this.zoomfin||!this.senspos&&n>this.zoomfin)?this.setPosition(this.x,this.y,this.angle,n):(this.zoomfactor=this.zoomfin,this.positionne(),clearInterval(this.timer),this.doc.actionSuivante())};InstrumentAncetre.prototype.positionne=function(){this.setPosition(this.x,this.y,this.angle,this.zoomfactor)};function Compas(n){InstrumentAncetre.call(this,n),this.ecart=0,this.bretourne=!1,this.leve=!1,this.lon=185,this.longpointe=18;const t=this.lon+this.longpointe;this.alp=Math.asin(this.ecart/(2*t))/Math.PI*180,this.decbh=30,this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(this.x,this.y,this.angle,1),n.svg.appendChild(this.g)}Compas.prototype=new InstrumentAncetre;Compas.prototype.initialisePosition=function(){InstrumentAncetre.prototype.initialisePosition.call(this),this.ecart=0,this.positionne()};Compas.prototype.creeg=function(){let n,t,r,a;const s=this.lon,l=this.longpointe,u=7,_=20,m=6,g=3.5,f=3,x=12,w=24,Z=35,Ce=6,ne=50,$e=3,Ie=70,Dt=document.createElementNS(svgns,"g");this.bg=document.createElementNS(svgns,"g"),n=document.createElementNS(svgns,"line"),n.setAttribute("x1",0),n.setAttribute("y1",0),n.setAttribute("x2",0),n.setAttribute("y2",-l),n.setAttribute("style","stroke: black; stroke-width:1.5;"),this.bg.appendChild(n),t=document.createElementNS(svgns,"path"),r="M0 "+String(-l)+"L 0 "+String(-l-s)+" "+String(-u)+" "+String(-l-s)+" "+String(-u)+" "+String(-l)+"Z",t.setAttribute("d",r),t.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),this.bg.appendChild(t),a=document.createElementNS(svgns,"circle"),a.setAttribute("cx",-u/2),a.setAttribute("cy",-l-_),a.setAttribute("r",m),a.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),this.bg.appendChild(a),a=document.createElementNS(svgns,"circle"),a.setAttribute("cx",-u/2),a.setAttribute("cy",-l-_),a.setAttribute("r",2),a.setAttribute("style","stroke:black;stroke-width:1; fill: silver; fill-opacity: 1"),this.bg.appendChild(a),Dt.appendChild(this.bg),this.bd=document.createElementNS(svgns,"g"),t=document.createElementNS(svgns,"path"),r="M 0 0 L0 "+String(-l)+" "+g+" "+String(-l-g)+" "+g+" "+String(-g-3)+"Z",t.setAttribute("style","stroke:black;stroke-width:0.75; fill: blck; fill-opacity: 1"),t.setAttribute("d",r),this.bd.appendChild(t),t=document.createElementNS(svgns,"path"),r="M0 "+String(-l)+"L 0 "+String(-l-s)+" "+u+" "+String(-l-s)+" "+u+" "+String(-l)+"Z",t.setAttribute("d",r),t.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),this.bd.appendChild(t),t=document.createElementNS(svgns,"path");const Lr=m/4*3,ec=m/2;r="M"+u+" "+String(-l-_+Lr)+"A "+Lr+" "+ec+" -90 0 0 "+u+" "+String(-l-_-Lr)+"Z",t.setAttribute("style","stroke:black;stroke-width:1; fill: silver; fill-opacity: 1"),t.setAttribute("d",r),this.bd.appendChild(t);const ys="stroke: black; stroke-width:1;";n=document.createElementNS(svgns,"line"),n.setAttribute("x1",0),n.setAttribute("y1",-100),n.setAttribute("x2",u),n.setAttribute("y2",-100+u),n.setAttribute("style",ys),this.bd.appendChild(n),n=document.createElementNS(svgns,"line"),n.setAttribute("x1",0),n.setAttribute("y1",-50),n.setAttribute("x2",u),n.setAttribute("y2",-50),n.setAttribute("style",ys),this.bd.appendChild(n),n=document.createElementNS(svgns,"line"),n.setAttribute("x1",u/2),n.setAttribute("y1",-50),n.setAttribute("x2",u/2),n.setAttribute("y2",-73),n.setAttribute("style",ys),this.bd.appendChild(n);const tc=document.createElementNS(svgns,"rect");tc.setAttribute("x",u),tc.setAttribute("y",-68),tc.setAttribute("width",4),tc.setAttribute("height",12),tc.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),this.bd.appendChild(tc),Dt.appendChild(this.bd),this.haut=document.createElementNS(svgns,"g"),t=document.createElementNS(svgns,"path"),r="M 0 0 L"+f+" 0 "+x+" "+String(-w)+" "+x+" "+String(-Z)+"A"+String(ne-Z)+" "+String(x-Ce)+" -90 0 1 "+Ce+" "+String(-ne)+"L"+$e+" "+String(-Ie)+" "+String(-$e)+" "+String(-Ie)+"L"+String(-Ce)+" "+String(-ne)+"A"+String(ne-Z)+" "+String(x-Ce)+" 90 0 1 "+String(-x)+" "+String(-Z)+" L "+String(-x)+" "+String(-w)+" "+String(-f)+" 0Z",t.setAttribute("d",r),t.setAttribute("style","stroke:black;stroke-width:0.75; fill: #666666; fill-opacity: 1"),this.haut.appendChild(t),n=document.createElementNS(svgns,"line"),n.setAttribute("x1",Ce),n.setAttribute("y1",-ne),n.setAttribute("x2",-Ce),n.setAttribute("y2",-ne),n.setAttribute("style","stroke: black; stroke-width:1;"),this.haut.appendChild(n);const nc=document.createElementNS(svgns,"text");nc.setAttribute("pointer-events","none"),nc.appendChild(document.createTextNode("Sésamath")),nc.setAttribute("x",0),nc.setAttribute("y",0),nc.setAttribute("style","font-family: Arial;font-size: 5pt;fill: white"),nc.setAttribute("transform","rotate(-90) translate(4,2.5)"),this.haut.appendChild(nc),a=document.createElementNS(svgns,"circle"),a.setAttribute("cx",-u+1),a.setAttribute("cy",-this.decbh),a.setAttribute("r",3),a.setAttribute("style","stroke:black;stroke-width:1; fill: white; fill-opacity: 1"),this.haut.appendChild(a),a=document.createElementNS(svgns,"circle"),a.setAttribute("cx",u-1),a.setAttribute("cy",-this.decbh),a.setAttribute("r",3),a.setAttribute("style","stroke:black;stroke-width:1; fill: white; fill-opacity: 1"),this.haut.appendChild(a),Dt.appendChild(this.haut),this.g=Dt};Compas.prototype.setPosition=function(n,t,r,a){let s;arguments.length>=4?(s=a,this.zoomfactor=s):s=this.zoomfactor,this.x=n,this.y=t,this.angle=r;const l=this.lon+this.longpointe;let u=this.ecart/(2*l*s);if(u>1&&(u=1),this.alp=Math.asin(u)/Math.PI*180,isNaN(this.alp))console.error(Error("dans compas.setPosition on a alp qui est NaN")),this.doc.debug&&console.log(`avec x=${n}, y=${t}, angle=${r} et zoom=${s} on a d=${l} et ecart=${this.ecart} asin(${this.ecart}/${2*l*s}/π*180) donne NaN`);else{this.bg.setAttribute("transform",`rotate(${this.alp})`),this.bd.setAttribute("transform",`translate(${this.ecart/s}, 0) rotate(${-this.alp})`);const _=this.alp/180*Math.PI,m=this.ecart/2/s,g=-l*Math.cos(_)+this.decbh;this.haut.setAttribute("transform",`translate(${m},${g})`);const f=this.bretourne?`scale(${s},${-s})`:`scale(${s})`;this.g.setAttribute("transform",`${f} translate(${n/s},${t/s}) rotate(${r})`)}};Compas.prototype.retourne=function(){this.bretourne=!this.bretourne,this.setPosition(this.x,this.y,this.angle)};Compas.prototype.positionne=function(){InstrumentAncetre.prototype.positionne.call(this),this.leve&&this.doc.compasLeve!=null&&InstrumentAncetre.prototype.positionne.call(this.doc.compasLeve)};Compas.prototype.translate=function(n,t){InstrumentAncetre.prototype.translate.call(this,n,t),this.leve&&this.doc.compasLeve!=null&&InstrumentAncetre.prototype.translate.call(this.doc.compasLeve,n,t)};Compas.prototype.lanceAnimationEcartement=function(n,t){this.ecartfin=parseFloat(n),this.pasecart=t/4,this.pasecart*=n>=this.ecart?1:-1,this.distecart=Math.abs(n-this.ecart);const r=this;this.timer=setInterval(function(){r.actionPourEcartement()},25)};Compas.prototype.actionPourEcartement=function(){const n=this.ecart+this.pasecart,t=Math.abs(n-this.ecartfin);t>this.distecart||!this.doc.animationEnCours?(this.ecart=this.ecartfin,this.setPosition(this.x,this.y,this.angle),clearInterval(this.timer),this.doc.actionSuivante()):(this.distecart=t,this.ecart=n,this.setPosition(this.x,this.y,this.angle))};function Equerre(n){InstrumentAncetre.call(this,n),this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(this.x,this.y,this.angle),n.svg.appendChild(this.g)}Equerre.prototype=new InstrumentAncetre;Equerre.prototype.creeg=function(){let n,t;const _=103.83969465648855,m=16,g=223/131*(131-m),f=131/223*(223-m),x=document.createElementNS(svgns,"g");n=document.createElementNS(svgns,"path"),t="M 0 0 L 131 0 L 0 "+String(-223)+" Z";const w="M 24 "+String(-31)+" L 24 "+String(-31-_)+" L "+String(85)+" "+String(-31)+" Z";t+=w,n.setAttribute("d",t),n.setAttribute("style","stroke:black;stroke-width:0.75; fill: #c6cbe8; fill-opacity: 0.5"),x.appendChild(n),n=document.createElementNS(svgns,"path"),t="M "+m+" "+String(-m)+" L "+f+" "+String(-m)+" L "+m+" "+-g+" Z",t+=w,n.setAttribute("d",t),n.setAttribute("style","stroke-width:0; fill: #c6cbe8; fill-opacity: 0.5"),x.appendChild(n);const Z=document.createElementNS(svgns,"text");Z.setAttribute("pointer-events","none"),Z.appendChild(document.createTextNode("Sésamath")),Z.setAttribute("x",24),Z.setAttribute("y",-m/2-5),Z.setAttribute("style","font-family: Arial;font-size: 8pt;font-weight:bold;fill: maroon"),x.appendChild(Z),this.g=x};function Rapporteur(n){InstrumentAncetre.call(this,n),this.graduationExterneVisible=!0,this.graduationInterneVisible=!0,this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(this.x,this.y,this.angle),n.svg.appendChild(this.g)}Rapporteur.prototype=new InstrumentAncetre;Rapporteur.prototype.creeg=function(){let n,t,r,a,s;const _="13",g=String(156),f=89,x=String(f),w="116",Z="7",Ce=document.createElementNS(svgns,"g");for(t=document.createElementNS(svgns,"path"),n="M "+g+" 0 A "+g+" "+g+" 0 0 0 -"+g+" 0 L -"+g+" "+_+" L "+g+" "+_+" L "+g+" 0",n+="M 0 0 L -"+x+" 0 A "+x+" "+x+" 0 0 1 "+x+" 0 Z",t.setAttribute("d",n),t.setAttribute("style","stroke:#999999;stroke-width:1; fill: #c6cbe8; fill-opacity: 0.5"),Ce.appendChild(t),t=document.createElementNS(svgns,"path"),n="M "+Z+" 0 A "+Z+" "+Z+" 0 0 0 -"+Z+" 0 M 0 0 L 0 -"+Z,t.setAttribute("d",n),t.setAttribute("style","stroke: #666666;stroke-width:1; fill: none"),Ce.appendChild(t),a=0;a<=180;a++)r=document.createElementNS(svgns,"line"),r.setAttribute("x1",g),r.setAttribute("y1",0),r.setAttribute("x2",a%10===0?136:a%5===0?146:151),r.setAttribute("y2",0),r.setAttribute("transform","rotate(-"+a+")"),r.setAttribute("style","stroke: #333333;stroke-width:0.7;"),Ce.appendChild(r);for(this.gradext=document.createElementNS(svgns,"g"),a=0;a<=180;a++)a%10===0&&(s=document.createElementNS(svgns,"text"),s.setAttribute("pointer-events","none"),s.appendChild(document.createTextNode(a)),s.setAttribute("x",0),s.setAttribute("y",0),s.setAttribute("style","font-family: arial;font-size: 10px;text-anchor: middle; fill: black"),s.setAttribute("transform"," scale(-1) rotate("+String(-a-90)+") translate(0,"+String(-124)+")"),this.gradext.appendChild(s));Ce.appendChild(this.gradext);const ne=120;for(t=document.createElementNS(svgns,"path"),n="M "+String(ne)+" 0 L "+w+" 0 A "+w+" "+w+" 0 0 0 -"+w+" 0 L "+String(-ne)+" 0",t.setAttribute("d",n),t.setAttribute("style","stroke: #666666;stroke-width:1; fill: none"),Ce.appendChild(t),a=0;a<=18;a++)r=document.createElementNS(svgns,"line"),r.setAttribute("x1",f),r.setAttribute("y1",0),r.setAttribute("x2",f+10),r.setAttribute("y2",0),r.setAttribute("transform","rotate(-"+String(10*a)+")"),r.setAttribute("style","stroke: #333333;stroke-width:0.7;"),Ce.appendChild(r);for(this.gradint=document.createElementNS(svgns,"g"),a=0;a<=18;a++)s=document.createElementNS(svgns,"text"),s.setAttribute("pointer-events","none"),s.appendChild(document.createTextNode(180-10*a)),s.setAttribute("x",0),s.setAttribute("y",0),s.setAttribute("style","font-family: arial;font-size: 9px;text-anchor: middle; fill: black"),s.setAttribute("transform","scale(-1) rotate("+String(-10*a-90)+") translate(0,"+String(-f-14)+")"),this.gradint.appendChild(s);Ce.appendChild(this.gradint);const $e=document.createElementNS(svgns,"circle");$e.setAttribute("cx",0),$e.setAttribute("cy",0),$e.setAttribute("r",2),$e.setAttribute("style","stroke: black; stroke-width: 1;fill: none"),Ce.appendChild($e),s=document.createElementNS(svgns,"text"),s.setAttribute("pointer-events","none"),s.appendChild(document.createTextNode("Sésamath")),s.setAttribute("x",0),s.setAttribute("y",_-2),s.setAttribute("style","font-family: sans-serif;font-size: 7pt;font-weight:bold;text-anchor: middle; fill: maroon"),Ce.appendChild(s),this.g=Ce};Rapporteur.prototype.montreGraduations=function(n){this.graduationInterneVisible=!0,this.visible&&this.gradint.setAttribute("visibility",n?"visible":"hidden")};Rapporteur.prototype.montreGraduationsExternes=function(n){this.graduationExterneVisible=!0,this.visible&&this.gradext.setAttribute("visibility",n?"visible":"hidden")};Rapporteur.prototype.montre=function(n){InstrumentAncetre.prototype.montre.call(this,n),n?(this.gradint.setAttribute("visibility",this.graduationInterneVisible?"visible":"hidden"),this.gradext.setAttribute("visibility",this.graduationExterneVisible?"visible":"hidden")):(this.gradint.setAttribute("visibility","hidden"),this.gradext.setAttribute("visibility","hidden"))};function Regle(n){InstrumentAncetre.call(this,n),this.x=100,this.y=400,this.angle=0,this.longueur=15,this.graduationVisible=!0,this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(this.x,this.y,this.angle),n.svg.appendChild(this.g)}Regle.prototype=new InstrumentAncetre;Regle.prototype.creeg=function(){let n,t;const a=this.longueur*30+15,l=String(57),u=6,_=String(u),m=document.createElementNS(svgns,"g"),g=document.createElementNS(svgns,"rect");g.setAttribute("x",-_-1),g.setAttribute("y",0),g.setAttribute("width",String(a+u+1)),g.setAttribute("height",l),g.setAttribute("rx",_),g.setAttribute("ry",_),g.setAttribute("style","stroke:#999999;stroke-width:2; fill: #c6cbe8; fill-opacity: 0.5;"),m.appendChild(g);const f=document.createElementNS(svgns,"line");f.setAttribute("x1",-_),f.setAttribute("y1",27),f.setAttribute("x2",a),f.setAttribute("y2",27),f.setAttribute("style","stroke:#999999;stroke-width:2;"),m.appendChild(f),this.graduations=document.createElementNS(svgns,"g");for(let x=0;x<=this.longueur*10;x++){n=document.createElementNS(svgns,"line");const w=3*x;n.setAttribute("x1",w),n.setAttribute("y1",0),n.setAttribute("x2",w),n.setAttribute("y2",x%10===0?12:x%5===0?9:6),x%10===0&&(t=document.createElementNS(svgns,"text"),t.setAttribute("pointer-events","none"),t.appendChild(document.createTextNode(String(x/10))),t.setAttribute("x",w),t.setAttribute("y",21),t.setAttribute("style","font-family: monospace;font-size: 9pt;text-anchor:middle"),this.graduations.appendChild(t)),n.setAttribute("style","stroke:black;stroke-width:0.7;"),this.graduations.appendChild(n)}t=document.createElementNS(svgns,"text"),t.setAttribute("pointer-events","none"),t.appendChild(document.createTextNode("Sésamath")),t.setAttribute("x",a/2-u-3),t.setAttribute("y",l-5),t.setAttribute("style","font-family: Arial;font-size: 8pt;font-weight:bold;fill: maroon;text-anchor:middle;"),m.appendChild(t),m.appendChild(this.graduations),this.g=m};Regle.prototype.montreGraduations=function(n){this.graduationVisible=n,this.graduations.setAttribute("visibility",this.visible&&n?"visible":"hidden")};Regle.prototype.montre=function(n){InstrumentAncetre.prototype.montre.call(this,n),n?this.graduations.setAttribute("visibility",this.graduationVisible?"visble":"hidden"):this.graduations.setAttribute("visibility","hidden")};Regle.prototype.initialisePosition=function(){if(this.longueur!==15){this.longueur=15;const n=this.visible,t=this.g;this.creeg(),this.g.setAttribute("visibility",n?"visible":"hidden"),this.doc.svg.replaceChild(this.g,t)}InstrumentAncetre.prototype.initialisePosition.call(this)};function Requerre(n){InstrumentAncetre.call(this,n),this.x=200,this.y=400,this.angle=0,this.zoomfactor=1,this.abscisse=0,this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(this.x,this.y,this.angle),n.svg.appendChild(this.g)}Requerre.prototype=new InstrumentAncetre;Requerre.prototype.creeg=function(){let n,t;const f="stroke:#999999;stroke-width:2; fill: #c6cbe8; fill-opacity: 0.5",x=document.createElementNS(svgns,"g");n=document.createElementNS(svgns,"path"),t="M 0 0 L "+String(167)+" 0 A 5 5 0 0 1 "+String(172)+" 5 L "+String(172)+" "+String(52)+" A 5 5 90 0 1 "+String(167)+" "+String(57)+" L "+String(-251)+" 57 A 5 5 180 0 1 -256 "+String(52)+" L "+String(-256)+" 5 A 5 5 -90 0 1 "+String(-251)+" 0Z";const w=42,Z="M"+String(158)+" "+w+"A 6 6 180 0 0 "+String(146)+" "+String(w)+"A 6 6 180 0 0 "+String(158)+" "+String(w);t+=Z,n.setAttribute("d",t),n.setAttribute("style",f),x.appendChild(n),n=document.createElementNS(svgns,"path"),t="M"+String(172)+" "+String(16)+"L"+String(172)+" "+String(52)+" A 5 5 90 0 1 "+String(167)+" "+String(57)+" L "+String(-251)+" 57 A 5 5 180 0 1 -256 "+String(52)+" L "+String(-256)+" "+String(16)+"Z"+Z,n.setAttribute("d",t),n.setAttribute("style",f),x.appendChild(n);const Ce=document.createElementNS(svgns,"line");Ce.setAttribute("x1",0),Ce.setAttribute("y1",8),Ce.setAttribute("x2",0),Ce.setAttribute("y2",0),Ce.setAttribute("style","stroke: black"),x.appendChild(Ce);const ne={};Equerre.prototype.creeg.call(ne),this.gequerre=ne.g,this.gequerre.setAttribute("transform","scale(0.7)"),x.appendChild(this.gequerre),this.setAbs(this.abscisse),this.g=x};Requerre.prototype.setAbs=function(n){this.abscisse=n,this.gequerre.setAttribute("transform","translate("+n+",0)")};Requerre.prototype.lanceAnimationGlissement=function(n,t){this.absfin=n,this.pix=n>=this.abscisse?t/4:-t/4,this.dist=Math.abs(n-this.abscisse);const r=this;this.timer=setInterval(function(){r.actionPourGlissement()},25)};Requerre.prototype.actionPourGlissement=function(){const n=this.abscisse+this.pix,t=Math.abs(this.absfin-n);t>this.dist||!this.doc.animationEnCours?(this.setAbs(this.absfin),clearInterval(this.timer),this.doc.actionSuivante()):(this.dist=t,this.setAbs(n))};function Crayon(n){InstrumentAncetre.call(this,n),this.angle=this.angleInit(),this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(this.x,this.y,this.angle),n.svg.appendChild(this.g)}Crayon.prototype=new InstrumentAncetre;Crayon.prototype.angleInit=function(){return-40};Crayon.prototype.creeg=function(){let n,t,r,a,s;const f=document.createElementNS(svgns,"g");n=document.createElementNS(svgns,"defs"),a=document.createElementNS(svgns,"linearGradient"),a.setAttribute("id","gradpointe"),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","0%"),s.setAttribute("style","stop-color: #f00000;"),a.appendChild(s),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","50%"),s.setAttribute("style","stop-color: #eeb444;"),a.appendChild(s),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","100%"),s.setAttribute("style","stop-color: #f00000"),a.appendChild(s),a.setAttribute("x1","0%"),a.setAttribute("y1","0%"),a.setAttribute("x2","0%"),a.setAttribute("y2","100%"),n.appendChild(a),f.appendChild(n),n=document.createElementNS(svgns,"defs"),a=document.createElementNS(svgns,"linearGradient"),a.setAttribute("id","gradcorps"),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","0%"),s.setAttribute("style","stop-color: #810216;"),a.appendChild(s),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","25%"),s.setAttribute("style","stop-color: #c64f00;"),a.appendChild(s),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","50%"),s.setAttribute("style","stop-color: #ab4a36"),a.appendChild(s),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","75%"),s.setAttribute("style","stop-color: #c64f00;"),a.appendChild(s),s=document.createElementNS(svgns,"stop"),s.setAttribute("offset","100%"),s.setAttribute("style","stop-colr: #810216;"),a.appendChild(s),a.setAttribute("x1","0%"),a.setAttribute("y1","0%"),a.setAttribute("x2","0%"),a.setAttribute("y2","100%"),n.appendChild(a),f.appendChild(n),t=document.createElementNS(svgns,"path");const x=4.5/3,w=x*3/4,Z="A"+x+" "+w+" -90 0 0 15 "+String(x)+"A"+x+" "+w+" -90 0 1 15 "+String(-x)+"A"+x+" "+w+" -90 0 0 15 "+String(-4.5);r="M 0 0 L15 "+4.5+Z+"Z",t.setAttribute("d",r),t.setAttribute("style","stroke:black; stroke-width:0.5; fill: url(#gradpointe); fill-opacity: 1;"),f.appendChild(t),t=document.createElementNS(svgns,"path"),r="M 0 0 L 3 "+.9+" 3 "+String(-.9)+"Z",t.setAttribute("d",r),t.setAttribute("style","stroke:black; stroke-width:0.5; fill: black; fill-opacity: 1;"),f.appendChild(t),t=document.createElementNS(svgns,"path"),r="M 15 "+4.5+Z+" L 97 "+String(-4.5)+" L 97 "+String(4.5)+"Z",t.setAttribute("d",r),t.setAttribute("style","stroke:black; stroke-width:0.5; fill: url(#gradcorps); fill-opacity: 1;"),f.appendChild(t);const Ce=document.createElementNS(svgns,"circle");Ce.setAttribute("r",4.5),Ce.setAttribute("cx",97),Ce.setAttribute("cy",0),Ce.setAttribute("style","stroke:blue; stroke-width:0.5; fill: blue; fill-opacity: 1;"),f.appendChild(Ce),this.g=f};function ActionAncetre(n,t){arguments.length!==0&&(this.doc=n,typeof t=="string"&&(t=Number(t)),this.tempo=typeof t=="number"&&t>0&&Number.isFinite(t)?t*100:null,this.isReady=!1)}ActionAncetre.prototype.setReady=function(){this.isReady=!0};ActionAncetre.prototype.creegElement=function(){};ActionAncetre.prototype.actionVisible=function(){return!0};function ActionCoucherCompas(n,t){ActionAncetre.call(this,n,t)}ActionCoucherCompas.prototype=new ActionAncetre;ActionCoucherCompas.prototype.execute=function(n){const t=this.doc.compas,r=this.doc.compasLeve;t.leve&&(r.montre(!1),t.setPosition(r.x,r.y,r.angle)),!n&&t.visible&&t.montre(!0),t.leve=!1,n||this.doc.actionSuivante(n)};ActionCoucherCompas.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.doc.compas.compas,this.indice-1)?this.doc.getCompasStatus(this.indice-1)==="leve":!1};function ObjetBase(n,t,r){this.doc=n,this.id=t,this.couleur=r,this.zoomfactor=1,this.visible=!1,this.objet="trait"}ObjetBase.prototype.positionne=function(){};ObjetBase.prototype.initialisePosition=function(){};ObjetBase.prototype.translate=function(n,t){this.setPosition(n,t,this.angle,this.zoomfactor)};ObjetBase.prototype.tourne=function(n){this.setPosition(this.x,this.y,n,this.zoomfactor)};ObjetBase.prototype.zoom=function(n){this.zoomfactor=n,this.setPosition(this.x,this.y,this.angle,n)};ObjetBase.prototype.montre=function(n){this.visible=n,this.g&&this.g.setAttribute("visibility",n?"visible":"hidden")};ObjetBase.prototype.lanceAnimationTranslation=function(n,t,r){this.xfin=n,this.yfin=t,this.pix=Math.abs(r/4);const a=new Vect(this.x,this.y,n,t);if(this.dist=a.norme(),this.dist===0){this.translate(this.xfin,this.yfin),this.doc.actionSuivante();return}this.vect=a.vecteurColineaire(this.pix);const s=this;this.timer=setInterval(function(){s.actionPourTranslation()},25)};ObjetBase.prototype.actionPourTranslation=function(){const n=this.x+this.vect.x,t=this.y+this.vect.y,a=new Vect(n,t,this.xfin,this.yfin).norme();a>this.dist||!this.doc.animationEnCours?(this.translate(this.xfin,this.yfin),clearInterval(this.timer),this.doc.actionSuivante()):(this.dist=a,this.translate(n,t))};ObjetBase.prototype.lanceAnimationRotation=function(n,t){const r=mesurePrincDeg(this.angle);let a=mesurePrincDeg(n);Math.abs(a-r)>180&&(a>r?a=a-360:a=a+360),this.anglefin=a,this.angle=r,this.pasdeg=t*2/3,this.pasdeg*=n>=this.angle?1:-1,this.distang=Math.abs(n-this.angle);const s=this;this.timer=setInterval(function(){s.actionPourRotation()},25)};ObjetBase.prototype.actionPourRotation=function(){const n=parseFloat(this.angle)+parseFloat(this.pasdeg),t=Math.abs(n-this.anglefin);t>this.distang||!this.doc.animationEnCours?(this.tourne(this.anglefin),clearInterval(this.timer),this.doc.actionSuivante()):(this.distang=t,this.tourne(n))};ObjetBase.prototype.lanceAnimationZoom=function(n,t){this.zoomfin=n,this.vitesse=parseInt(t),this.pas=this.vitesse*.05*(this.zoomfin-this.zoomfactor),this.senspos=this.pas>=0;const r=this;this.timer=setInterval(function(){r.actionPourZoom()},100)};ObjetBase.prototype.actionPourZoom=function(){const n=this.zoomfactor+this.pas;this.doc.animationEnCours&&(this.senspos&&n<this.zoomfin||!this.senspos&&n>this.zoomfin)?this.zoom(n):(this.zoom(this.zoomfin),clearInterval(this.timer),this.doc.actionSuivante())};ObjetBase.prototype.updateg=function(){const n=this.g;this.creeg(),this.doc.svg.replaceChild(this.g,n),this.doc.setElement(this.id,this),this.g.setAttribute("visibility","visible")};ObjetBase.prototype.creationAnimee=function(){return!1};ObjetBase.prototype.finAction=function(){};function Texte(n,t,r,a){ObjetBase.call(this,n,t,"black"),this.x=parseFloat(r),this.y=parseFloat(a),this.xinit=this.x,this.yinit=this.y,this.taille=20,this.angle=0,this.texte="",this.objet="texte"}Texte.prototype=new ObjetBase;Texte.prototype.positionne=function(){this.setPosition(this.x,this.y,this.angle,this.zoomfactor)};Texte.prototype.translate=function(n,t){this.x=n,this.y=t,this.positionne()};Texte.prototype.updateg=function(n){const t=this.g;if(!t)return console.error("Il faut appeler creeg avant updateg");this.doc.svg.replaceChild(n,t),this.g=n,n.setAttribute("visibility","visible")};Texte.prototype.creeg=function(){this.g=document.createElementNS(svgns,"g")};Texte.prototype.setPosition=function(n,t,r,a){this.x=n,this.y=t,this.angle=r,this.zoomfactor=a;const s=getTaille(this),l=t+s;this.g.setAttribute("transform","scale("+a+") translate("+String(n/a)+","+String(l/a)+") rotate("+r+")")};function ActionCreation(n,t,r,a,s){ActionAncetre.call(this,n,a),this.id=t;const l=this.doc.getElement(t,r.objet);this.objetRemplace=l===null?null:l,this.objet=r,this.vitesse=arguments.length>=5&&s!=null?Math.abs(parseFloat(s)):8,this.objetRemplace!==null?this.doc.addElement(this.objet):this.doc.pushElement(this.objet)}ActionCreation.prototype=new ActionAncetre;ActionCreation.prototype.execute=function(n){this.objet instanceof Texte&&(this.objet.x=this.objet.xinit,this.objet.y=this.objet.yinit),this.objetRemplace!==null&&this.objetRemplace.montre(!1),this.objet.creationAnimee()&&!n?this.objet.lanceAnimation(this.vitesse):(this.objet.montre(!0),n?this.objet.finAction():this.doc.actionSuivante())};ActionCreation.prototype.creegElement=function(){const n=this.doc,t=this.objet;t.creeg(),t.positionne(),t.g.setAttribute("visibility","hidden"),n.svg.appendChild(t.g)};ActionCreation.prototype.actionVisible=function(){return!(this.objet instanceof Texte)};function ActionEcarterCompas(n,t,r,a){ActionAncetre.call(this,n,r),this.ecartement=t,this.ec10=a===null?16:parseFloat(a)}ActionEcarterCompas.prototype=new ActionAncetre;ActionEcarterCompas.prototype.execute=function(n){n?(this.doc.compas.ecart=this.ecartement,this.doc.compas.positionne()):this.doc.compas.lanceAnimationEcartement(this.ecartement,this.ec10)};ActionEcarterCompas.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.doc.compas,this.indice-1)};const loadDelay=60,mathJaxUrl="https://www.mathgraph32.org/js/MathJax3/es5/tex-svg.js",mathJaxConfig={tex:{inlineMath:[["$","$"],["\\(","\\)"]],packages:{"[+]":["color"]}},svg:{mtextInheritFont:!0},options:{ignoreHtmlClass:"tex2jax_ignore",processHtmlClass:"tex2jax_process"},loader:{load:["[tex]/noerrors","[tex]/color"]}};let mathJaxLoadingPromise;function loadMathJax(){return mathJaxLoadingPromise||(mathJaxLoadingPromise=new Promise((n,t)=>{if(typeof MathJax=="object"&&/^3\./.test(MathJax.version))return MathJax.config=mathJaxConfig,n();window.MathJax=mathJaxConfig,MathJax.startup={ready:()=>{clearTimeout(l),MathJax.startup.defaultReady(),MathJax.startup.promise.then(()=>{n()})}};const r=document.createElement("script");r.type="text/javascript",r.crossOrigin="anonymous";const a=window.mathJax3BaseUrl?`${window.mathJax3BaseUrl}es5/tex-svg.js`:mathJaxUrl;r.src=a,document.getElementsByTagName("head")[0].appendChild(r);const l=setTimeout(()=>{t(Error(`Mathjax non chargé après ${loadDelay}s d’attente (${a})`))},loadDelay*1e3)}),mathJaxLoadingPromise)}function ActionEcrireTexte(n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne){ActionAncetre.call(this,n,ne),this.txt=this.doc.getElement(t,"texte"),this.id=t,this.couleur=r,this.taille=a==null?"20":a.replace(/O/g,"0"),this.style=l===null?"texte":l,this.couleurFond=u,this.opaciteFond=_==null?"0.6":parseFloat(_)/100,this.couleurCadre=m,g!==null&&m===null&&(this.couleurCadre=r),this.epaisseurCadre=g??(m==null?0:1),this.marge=f==null?0:parseFloat(f),this.margeGauche=x==null?0:parseFloat(x),this.margeDroite=w==null?0:parseFloat(w),this.margeHaut=Z==null?0:parseFloat(Z),this.margeBas=Ce==null?0:parseFloat(Ce),this.texte=s,this.estLatex=this.estAffichageLatex(),this.estLatex||(this.texte=remplaceBalises(remplaceCarSpe(this.texte)),this.texte=this.traduitCaracteresGrecs(this.texte),this.texte=this.texte.replace(/\*/g,"×"),necessiteLatex(s)&&(this.texte="$"+this.traiteMaths(this.texte)+"$",this.estLatex=!0))}ActionEcrireTexte.prototype=new ActionAncetre;ActionEcrireTexte.prototype.execute=function(n){if(this.txt!=null){this.angle=0;const t=this.txt;t.couleur=this.couleur,t.taille=this.taille,t.texte=this.texte,t.couleurFond=this.couleurFond,t.couleurCadre=this.couleurCadre,t.epaisseurCadre=this.epaisseurCadre,t.updateg(this.g),t.positionne()}n||this.doc.actionSuivante(n)};ActionEcrireTexte.prototype.estAffichageLatex=function(){return this.texte.charAt(0)==="$"&&this.texte.charAt(this.texte.length-1)==="$"};ActionEcrireTexte.prototype.traduitCaracteresGrecs=function(n){if(!n.includes("£"))return n;const t=n.split("£").map((r,a)=>a%2?caracteresGrecs[r]||`£${r}£`:r).join("");return(n.length-n.replace(/£/g,"").length)%2?(console.warn(`Il y a un nombre impair de £ dans cette chaîne : ${n}`),t.substr(0,t.length-1)):t};ActionEcrireTexte.prototype.traiteMaths=function(n){let t;const r=n,a=this.style==="texte",s=r.split(/<\/?br *\/?>/gi);if(s.length<=1)return getMaths(n,a);let l="\\begin{array}{l}";for(t=0;t<s.length;t++)t!==0&&(l+="\\\\"),l+=getMaths(s[t],a);return l+="\\end{array}",l};ActionEcrireTexte.prototype.prepare=function(){let n;if(this.estLatex&&(n=this.texte.replace(/^\$(.*)\$$/,"$1"),n||(console.error(Error("texte latex mais pas enveloppé de $, ignoré"),this.texte),this.estLatex=!1)),this.estLatex){const t=this;loadMathJax().then(()=>{const r=t.doc.getWidth(),a=t.taille,s=t.prelatex()+n;t.ex=a*.45;const l={em:a,ex:t.ex,containerWidth:r,display:!1};return t.doc.debug&&console.log("On passe à MathJax la string",s),MathJax.tex2svgPromise(s,l)}).then(r=>{t.html=r,t.creegLatex(),t.setReady()}).catch(r=>{console.error(r),alert("Pb Mathjax, impossible d’afficher le LaTeX correctement")})}else this.creeg(),this.setReady()};ActionEcrireTexte.prototype.prelatex=function(){return"\\color{"+this.couleur+"}"};ActionEcrireTexte.prototype.creegLatex=function(){try{const n=this.html.firstChild,t=n.cloneNode(!0),r=document.createElementNS(svgns,"g");r.appendChild(t);const a=parseFloat(n.getAttribute("width"))*this.ex,s=parseFloat(n.getAttribute("height"))*this.ex,l=t.style["vertical-align"],u=(l&&parseFloat(l)||1)*this.ex;t.setAttribute("width",a+"px"),t.setAttribute("height",s+"px"),t.style["vertical-align"]=`${u}px`,t.setAttribute("x","0");const _=getTaille(this);if(t.setAttribute("y",String(-_)),r.setAttribute("visibility","hidden"),this.couleurFond!==null||this.couleurCadre!==null){r.setAttribute("visibility","hidden"),this.doc.svg.appendChild(r),this.rectAff={};const m=parseFloat(this.epaisseurCadre),{x:g,y:f,width:x,height:w}=r.getBBox();this.rectAff.height=w+2*m+4+2*this.marge+this.margeHaut+this.margeBas,this.rectAff.width=x+2*m+2+2*this.marge+this.margeGauche+this.margeDroite,this.rectAff.x=g-m-1-this.marge-this.margeGauche,this.rectAff.y=f-m-1-this.marge-this.margeHaut,r.setAttribute("visibility","visible"),this.doc.svg.removeChild(r),this.creeRectangle(r,this.couleurFond==null?"white":this.couleurFond)}this.g=r}catch(n){console.error("Erreur dans ActionEcrireTexte.creegLatex (on remplace par un <g> vide) :",n),this.g=document.createElementNS(svgns,"g")}};ActionEcrireTexte.prototype.creeg=function(){let n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt=0;const Lr="<",ec="£e(",ys="£i(",tc=document.createElementNS(svgns,"g"),nc=getTaille(this),ac=nc+2;let sc=0;const cc=nc*.4;if(this.texte!==""){if(l=document.createElementNS(svgns,"text"),l.setAttribute("pointer-events","none"),l.setAttribute("x",0),l.setAttribute("y",0),s="text-anchor:left;font-size:"+nc+"px;fill:"+this.couleur+";",l.setAttribute("style",s),a=this.texte.replace(/ /g," "),this.texte.indexOf(Lr)===-1&&this.texte.indexOf(ec)===-1&&this.texte.indexOf(ys)===-1&&this.texte.indexOf("<br>")===-1)l.appendChild(document.createTextNode(a));else for(Ce=a.split(/<br>/gi),Z=-ac,ne=0;ne<Ce.length;ne++)for($e=!0,r=Ce[ne];r!=="";)if(n=r.indexOf(Lr),_=r.indexOf(ec),m=r.indexOf(ys),$e&&(Z+=ac+sc),_!==-1&&(Z+=cc),n===-1&&_===-1&&m===-1){t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.setAttribute("dy",Dt),$e&&(t.setAttribute("x",0),t.setAttribute("y",Z),$e=!1),Dt=0,t.appendChild(document.createTextNode(r)),l.appendChild(t);break}else for(;r.indexOf(Lr)!==-1||r.indexOf(ec)!==-1||r.indexOf(ys)!==-1;)if(n=r.indexOf(Lr),_=r.indexOf(ec),m=r.indexOf(ys),n===-1?_===-1?g=m:g=m===-1?_:Math.min(m,_):_===-1?g=m===-1?n:Math.min(n,m):m===-1?g=Math.min(n,_):g=Math.min(n,m,_),g>0)t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.setAttribute("dy",Dt),$e&&(t.setAttribute("x",0),t.setAttribute("y",Z),$e=!1),Dt=0,t.appendChild(document.createTextNode(r.substring(0,g))),l.appendChild(t),r=r.substring(g);else if(n===0){const uc=new InfoBalise(!1,!1,!1,this.couleur,"",nc);u=indiceFinBalise(r),traiteBalise(u===-1?r:r.substring(0,u),uc,l,$e,Z),$e=!1,u!==-1?r=r.substring(u):r="",Dt=0}else f=g===_,Ie=analyseExposantOuIndice(r),t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.setAttribute("dy",Dt+"px"),$e&&(t.setAttribute("x",0),t.setAttribute("y",Z),$e=!1),Ie.erreur?t.appendChild(document.createTextNode(r)):(t.appendChild(document.createTextNode(Ie.operande)),l.appendChild(t),t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.appendChild(document.createTextNode(Ie.exposant)),Dt=cc,f?Dt=-Dt:sc=Dt,t.setAttribute("dy",Dt+"px"),x=nc*.6,w="font-size:"+x+"px;",t.setAttribute("style",w),l.appendChild(t),Dt=-Dt),r=Ie.texte;tc.appendChild(l)}if(tc.setAttribute("visibility","hidden"),this.couleurFond!=null||this.couleurCadre!=null){tc.setAttribute("visibility","hidden"),this.doc.svg.appendChild(tc),this.rectAff={};const uc=parseFloat(this.epaisseurCadre);this.rectAff.height=tc.getBBox().height+2*uc+3+2*this.marge+this.margeHaut+this.margeBas,this.rectAff.width=tc.getBBox().width+2*uc+2+2*this.marge+this.margeGauche+this.margeDroite,this.rectAff.x=tc.getBBox().x-uc-1-this.marge-this.margeGauche,this.rectAff.y=tc.getBBox().y-uc-1-this.marge-this.margeHaut,tc.setAttribute("visibility","visible"),this.doc.svg.removeChild(tc),this.creeRectangle(tc,this.couleurFond==null?"white":this.couleurFond)}this.g=tc};ActionEcrireTexte.prototype.contientBalisesItaliqueOuUnderlineOuFontOuBold=function(n){return/<(u|b|i|font[^>]+)>/gi.test(n)};ActionEcrireTexte.prototype.creeRectangle=function(n,t){const r=document.createElementNS(svgns,"rect"),a="stroke-width:"+this.epaisseurCadre+"px;stroke:"+this.couleurCadre+";fill:"+t+";fill-opacity:"+this.opaciteFond+";";r.setAttribute("style",a),r.setAttribute("x",this.rectAff.x),r.setAttribute("y",this.rectAff.y),r.setAttribute("width",this.rectAff.width),r.setAttribute("height",this.rectAff.height),r.setAttribute("pointer-events","none"),n.insertBefore(r,n.childNodes[0])};function ActionGlisser(n,t,r,a){ActionAncetre.call(this,n,r),this.abscisseFin=parseFloat(t),this.pix10=a===null?8:String(Math.abs(a))}ActionGlisser.prototype=new ActionAncetre;ActionGlisser.prototype.execute=function(n){n?(this.doc.requerre.setAbs(this.abscisseFin),this.doc.requerre.positionne()):this.doc.requerre.lanceAnimationGlissement(this.abscisseFin,this.pix10)};ActionGlisser.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.doc.requerre,this.indice-1)};function CompasLeve(n,t,r,a,s){InstrumentAncetre.call(this,n);const l=n.compasLeve==null?null:n.compasLeve.g;this.x=t,this.y=r,this.angle=a,this.ecart=s,this.creeg(),this.g.setAttribute("visibility","hidden"),this.setPosition(t,r,a),l==null?n.svg.appendChild(this.g):n.svg.replaceChild(this.g,l)}CompasLeve.prototype=new InstrumentAncetre;CompasLeve.prototype.creeg=function(){let n,t,r;const l=this.ecart,u=document.createElementNS(svgns,"g");this.ecart>2*8&&(n=document.createElementNS(svgns,"rect"),n.setAttribute("x",8),n.setAttribute("y",-7/2),n.setAttribute("width",this.ecart-2*8),n.setAttribute("height",7),n.setAttribute("rx",1),n.setAttribute("ry",1),n.setAttribute("style","stroke:black;stroke-width:0.5;fill:silver;fill-opacity:1"),u.appendChild(n)),r=document.createElementNS(svgns,"path"),r.setAttribute("d","M0 0 L8 1 8 -1Z"),r.setAttribute("style","stroke:black;stroke-width:0.5;fill:black;fill-opacity:1"),u.appendChild(r);const _=l-2*8;t=document.createElementNS(svgns,"line"),t.setAttribute("x1",8),t.setAttribute("y1",0),t.setAttribute("x2",8+_/8),t.setAttribute("y2",0),t.setAttribute("style","stroke: black; stroke-width:0.5;"),u.appendChild(t),r=document.createElementNS(svgns,"path");const m=String(l-8);r.setAttribute("d","M"+l+" 0 L"+m+" 1.5 "+m+" -1.5Z"),r.setAttribute("style","stroke:black;stroke-width:0.5;fill:black;fill-opacity:1"),u.appendChild(r),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",m),t.setAttribute("y1",0),t.setAttribute("x2",String(l-8-_/8)),t.setAttribute("y2",0),t.setAttribute("style","stroke: black; stroke-width:0.5;"),u.appendChild(t),t=document.createElementNS(svgns,"line");let g=String(l-8-_/8-2);t.setAttribute("x1",g),t.setAttribute("y1",-7/2),t.setAttribute("x2",g),t.setAttribute("y2",7/2),t.setAttribute("style","stroke: black; stroke-width:0.5;"),u.appendChild(t),t=document.createElementNS(svgns,"line"),g=String(l-8-_/3-2),t.setAttribute("x1",g),t.setAttribute("y1",-7/2),t.setAttribute("x2",g),t.setAttribute("y2",7/2),t.setAttribute("style","stroke: black; stroke-width:0.5;"),u.appendChild(t),n=document.createElementNS(svgns,"rect"),n.setAttribute("x",String(8+_/8-5)),n.setAttribute("y",String(-7)),n.setAttribute("width",8),n.setAttribute("height",3),n.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),u.appendChild(n),n=document.createElementNS(svgns,"rect"),n.setAttribute("x",String(l-8-_/8-4)),n.setAttribute("y",String(-7)),n.setAttribute("width",8),n.setAttribute("height",3),n.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),u.appendChild(n);const f=12,x=4;r=document.createElementNS(svgns,"path");const w="M"+String(l/2+f)+" "+String(-x)+" A "+String(f)+" 2 180 0 0 "+String(l/2-f)+" "+String(-x)+"A"+String(x)+" 2 90 0 1 "+String(l/2-f)+" "+String(x)+"A"+String(f)+" 2 0 0 0 "+String(l/2+f)+" "+String(x)+"A"+String(x)+" 2 -90 0 1 "+String(l/2+f)+" "+String(-x);r.setAttribute("d",w),r.setAttribute("style","stroke:black;stroke-width:0.75; fill: #666666; fill-opacity: 1"),u.appendChild(r),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",String(l/2+f)),t.setAttribute("y1",-7/2),t.setAttribute("x2",String(l/2-f)),t.setAttribute("y2",7/2),t.setAttribute("style","stroke: black; stroke-width:0.5;"),u.appendChild(t),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",String(l/2-f)),t.setAttribute("y1",-7/2),t.setAttribute("x2",String(l/2+f)),t.setAttribute("y2",7/2),t.setAttribute("style","stroke: black; stroke-width:0.5;"),u.appendChild(t);const Z=document.createElementNS(svgns,"circle");Z.setAttribute("cx",String(l/2)),Z.setAttribute("cy",0),Z.setAttribute("r",5),Z.setAttribute("style","stroke:black;stroke-width:0.75; fill: #666666; fill-opacity: 1"),u.appendChild(Z),n=document.createElementNS(svgns,"rect"),n.setAttribute("x",String(8+_/8-5)),n.setAttribute("y",String(-7)),n.setAttribute("width",7),n.setAttribute("height",3),n.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),u.appendChild(n),n=document.createElementNS(svgns,"rect"),n.setAttribute("x",String(l-8-_/8-4)),n.setAttribute("y",String(-7)),n.setAttribute("width",7),n.setAttribute("height",3),n.setAttribute("style","stroke:black;stroke-width:0.75; fill: silver; fill-opacity: 1"),u.appendChild(n),this.g=u};CompasLeve.prototype.setPosition=function(n,t,r){this.x=n,this.y=t,this.angle=r,this.g.setAttribute("transform","translate("+n+","+t+") rotate("+r+")")};function ActionLeverCompas(n,t){ActionAncetre.call(this,n,t)}ActionLeverCompas.prototype=new ActionAncetre;ActionLeverCompas.prototype.execute=function(n){const t=this.doc.compas;t.visible&&(t.montre(!1),t.visible=!0),this.doc.compasLeve=new CompasLeve(this.doc,t.x,t.y,t.angle,t.ecart),!n&&t.visible&&this.doc.compasLeve.montre(!0),t.leve=!0,n||this.doc.actionSuivante(n)};ActionLeverCompas.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.doc.compas,this.indice-1)?this.doc.getCompasStatus(this.indice-1)==="couche":!1};function ActionMasquer(n,t,r,a){ActionAncetre.call(this,n,a),this.objet=this.doc.getElement(t,r)}ActionMasquer.prototype=new ActionAncetre;ActionMasquer.prototype.execute=function(n){const t=this.objet;t!=null&&t.montre(!1),n||this.doc.actionSuivante(n)};ActionMasquer.prototype.actionVisible=function(){return this.doc.getObjectVisibility(this.objet,this.indice-1)};function ActionMasquerInstrument(n,t,r){ActionAncetre.call(this,n,r),this.instrument=t}ActionMasquerInstrument.prototype=new ActionAncetre;ActionMasquerInstrument.prototype.execute=function(n){const t=this.doc.compas;this.instrument.montre(!1),t.leve&&this.doc.compasLeve.montre(!1),n||this.doc.actionSuivante(n)};ActionMasquerInstrument.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionModifierLongueur(n,t,r,a){ActionAncetre.call(this,n,a),this.instrument=t,this.longueur=r}ActionModifierLongueur.prototype=new ActionAncetre;ActionModifierLongueur.prototype.execute=function(n){if(this.instrument===this.doc.regle){const t=this.instrument.visible;this.instrument.longueur=this.longueur;const r=this.instrument.g;this.instrument.creeg(),this.instrument.g.setAttribute("visibility",t?"visible":"hidden"),this.doc.svg.replaceChild(this.instrument.g,r),this.instrument.translate(this.instrument.x,this.instrument.y)}n||this.doc.actionSuivante(n)};ActionModifierLongueur.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionMontrer(n,t,r,a){ActionAncetre.call(this,n,a),this.objet=this.doc.getElement(t,r)}ActionMontrer.prototype=new ActionAncetre;ActionMontrer.prototype.execute=function(n){const t=this.objet;t!==null&&t.montre(!0),n||this.doc.actionSuivante(n)};ActionMontrer.prototype.actionVisible=function(){return!this.doc.getObjectVisibility(this.objet,this.indice-1)};function ActionMontrerGraduations(n,t,r,a){ActionAncetre.call(this,n,a),this.instrument=t,this.bmontrer=r}ActionMontrerGraduations.prototype=new ActionAncetre;ActionMontrerGraduations.prototype.execute=function(n){this.instrument.montreGraduations(this.bmontrer),n||this.doc.actionSuivante(n)};ActionMontrerGraduations.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionMontrerInstrument(n,t,r,a,s){ActionAncetre.call(this,n,s),this.x=r===null?null:parseFloat(r),this.y=a===null?null:parseFloat(a),this.instrument=t}ActionMontrerInstrument.prototype=new ActionAncetre;ActionMontrerInstrument.prototype.execute=function(n){const t=this.doc.compas;this.x!==null&&this.y!==null&&this.instrument.translate(this.x,this.y),this.instrument===t&&!n?(t.leve?this.doc.compasLeve.montre(!0):t.montre(!0),t.visible=!0):this.instrument.montre(!0),n||this.doc.actionSuivante(n)};ActionMontrerInstrument.prototype.actionVisible=function(){return!this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionMontrerNombres(n,t,r){ActionAncetre.call(this,n,r),this.bmontrer=t}ActionMontrerNombres.prototype=new ActionAncetre;ActionMontrerNombres.prototype.execute=function(n){this.doc.rapporteur.montreGraduationsExternes(this.bmontrer),n||this.doc.actionSuivante(n)};ActionMontrerNombres.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.doc.rapporteur,this.indice-1)};function ActionNommerPoint(n,t,r){ActionAncetre.call(this,n,r),this.nomPoint=t}ActionNommerPoint.prototype=new ActionAncetre;ActionNommerPoint.prototype.prepare=function(){if(this.nomPoint.estLatex){const n=this,t=this.doc.getWidth(),r=getTaille(this.nomPoint)-2,a=this.nomPoint.nom.substring(1);this.ex=r/2;const s={em:r,ex:this.ex,containerWidth:t,display:!1};this.doc.debug&&console.log("chargement MathJax dans ActionNommerPoint"),loadMathJax().then(()=>MathJax.tex2svgPromise(a,s)).then(l=>{n.nomPoint.html=l,n.nomPoint.creegLatex(),n.setReady()}).catch(l=>{console.error(l),alert("Pb Mathjax, impossible d’afficher le point en LaTeX")})}else this.nomPoint.creeg(),this.setReady()};ActionNommerPoint.prototype.execute=function(n){if(this.nomPoint.objet==="point"){this.nomPoint.positionne();const t=this.nomPoint.point;t.nom!==null?this.doc.svg.replaceChild(this.nomPoint.g,t.nom.g):this.doc.svg.appendChild(this.nomPoint.g),t.nom=this.nomPoint}this.nomPoint.g.setAttribute("visibility","visible"),n||this.doc.actionSuivante(n)};ActionNommerPoint.prototype.actionVisible=function(){return this.doc.getObjectVisibility(this.nomPoint.point,this.indice-1)};function ActionPause(n,t){ActionAncetre.call(this,n,t)}ActionPause.prototype=new ActionAncetre;ActionPause.prototype.execute=function(n){n||(this.doc.activeIconeContinuer(),this.doc.animationEnCours=!1)};ActionPause.prototype.actionVisible=function(){return!1};function ActionRotationInstrument(n,t,r,a,s){ActionAncetre.call(this,n,a),this.instrument=t,this.anglefin=parseFloat(r),this.deg10=s==null?8:Math.abs(parseFloat(s))}ActionRotationInstrument.prototype=new ActionAncetre;ActionRotationInstrument.prototype.execute=function(n){n?(this.instrument.angle=this.anglefin,this.instrument.positionne(),n||this.doc.actionSuivante(n)):this.instrument.lanceAnimationRotation(this.anglefin,this.deg10)};ActionRotationInstrument.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionRetourner(n,t){ActionAncetre.call(this,n,t)}ActionRetourner.prototype=new ActionAncetre;ActionRetourner.prototype.execute=function(n){this.doc.compas.retourne(),n||this.doc.actionSuivante(n)};ActionRetourner.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.doc.compas,this.indice-1)};function ActionRotationObjet(n,t,r,a,s,l){ActionAncetre.call(this,n,s),this.anglefin=parseFloat(r),this.deg10=l==null?8:Math.abs(parseFloat(l)),this.objet=this.doc.getElement(t,a)}ActionRotationObjet.prototype=new ActionAncetre;ActionRotationObjet.prototype.execute=function(n){const t=this.objet;if(t==null){n||this.doc.actionSuivante(n);return}n?(t.angle=this.anglefin,t.positionne()):t.lanceAnimationRotation(this.anglefin,this.deg10,this.tempo)};ActionRotationObjet.prototype.actionVisible=function(){return this.doc.getObjectVisibility(this.objet,this.indice-1)};function ActionTranslationInstrument(n,t,r,a,s,l){ActionAncetre.call(this,n,s),this.instrument=t,this.xfin=parseFloat(r),this.yfin=parseFloat(a),this.pix10=l==null?8:parseFloat(l)}ActionTranslationInstrument.prototype=new ActionAncetre;ActionTranslationInstrument.prototype.execute=function(n){isNaN(this.xfin)||isNaN(this.yfin)?this.doc.actionSuivante(n):n?this.instrument.translate(this.xfin,this.yfin):this.instrument.lanceAnimationTranslation(this.xfin,this.yfin,this.pix10)};ActionTranslationInstrument.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionTranslationObjet(n,t,r,a,s,l,u){ActionAncetre.call(this,n,l),this.xfin=parseFloat(r),this.yfin=parseFloat(a),this.pix10=u==null?8:parseFloat(u),this.type=s,this.objet=this.doc.getElement(t,s)}ActionTranslationObjet.prototype=new ActionAncetre;ActionTranslationObjet.prototype.execute=function(n){const t=this.objet;if(t==null){this.doc.actionSuivante(n);return}n?t.translate(this.xfin,this.yfin):t.lanceAnimationTranslation(this.xfin,this.yfin,this.pix10)};ActionTranslationObjet.prototype.actionVisible=function(){return this.doc.getObjectVisibility(this.objet,this.indice-1)};function ActionZoomInstrument(n,t,r,a,s){ActionAncetre.call(this,n,a),this.instrument=t,this.zoomfin=parseFloat(r)/100,this.vitesse=parseInt(s)}ActionZoomInstrument.prototype=new ActionAncetre;ActionZoomInstrument.prototype.execute=function(n){n?(this.instrument.zoomfactor=this.zoomfin,this.instrument.positionne()):this.instrument.lanceAnimationZoom(this.zoomfin,this.vitesse)};ActionZoomInstrument.prototype.actionVisible=function(){return this.doc.getInstrumentVisibility(this.instrument,this.indice-1)};function ActionZoomObjet(n,t,r,a,s,l){ActionAncetre.call(this,n,s),this.objet=this.doc.getElement(t,a),this.zoomfin=parseFloat(r)/100,this.vitesse=l,this.type=a}ActionZoomObjet.prototype=new ActionAncetre;ActionZoomObjet.prototype.execute=function(n){const t=this.objet;if(t==null){this.doc.actionSuivante(n);return}n?(t.zoomfactor=this.zoomfin,t.positionne()):t.lanceAnimationZoom(this.zoomfin,this.vitesse)};ActionZoomObjet.prototype.actionVisible=function(){return this.doc.getObjectVisibility(this.objet,this.indice-1)};function ActionModificationRayon(n,t,r,a,s,l){ActionAncetre.call(this,n,s),this.rayFin=parseFloat(r),this.pix10=l==null?8:parseFloat(l),this.type=a,this.objet=this.doc.getElement(t,a)}ActionModificationRayon.prototype=new ActionAncetre;ActionModificationRayon.prototype.execute=function(n){const t=this.objet;if(t==null){this.doc.actionSuivante(n);return}n?t.donneRayon(this.rayFin):t.lanceAnimationModificationRayon(this.rayFin,this.pix10)};ActionModificationRayon.prototype.actionVisible=function(){return this.doc.getObjectVisibility(this.objet,this.indice-1)};function Ligne(n,t,r,a,s,l){ObjetBase.call(this,n,t,r),this.epaisseur=a,this.opacite=arguments.length>=5?s:"100",this.styleTrait=arguments.length>=6?l:"continu";const u=parseFloat(this.opacite/100);this.style="stroke:"+r+";stroke-width:"+a+";stroke-opacity:"+u+";stroke-linecap:round;",this.styleTrait==="tiret"&&(this.style+="stroke-dasharray:10 8 10;")}Ligne.prototype=new ObjetBase;function Angle(n,t,r,a,s,l,u,_,m,g,f){this.x=parseFloat(r),this.y=parseFloat(a),this.ray=parseFloat(s),this.ang1=parseFloat(l),this.ang2=parseFloat(u),this.motif=f??"simple",Ligne.call(this,n,t,_,m,1),this.opaciteRemplissage=g==null?.7:parseFloat(g)/100,this.objet="angle"}Angle.prototype=new Ligne;Angle.prototype.creeg=function(){let n,t,r,a,s,l,u,_,m,g;const x=this.motif,w=this.ray,Z=this.ang1,Ce=this.ang2,ne=Ce-Z,$e=mesurePrincDeg(ne);zeroAngle(Math.abs(ne)-180)?n=this.ang1<=this.ang2:n=$e>0;const Ie=new Vect(this.x,this.y,this.x+Math.cos(Z*convDegRad),this.y+Math.sin(Z*convDegRad)).vecteurColineaire(w),Dt=new Vect(this.x,this.y,this.x+Math.cos(Ce*convDegRad),this.y+Math.sin(Ce*convDegRad)).vecteurColineaire(w);let Lr=this.x+Ie.x,ec=this.y+Ie.y,ys=this.x+Dt.x,tc=this.y+Dt.y;const nc=document.createElementNS(svgns,"g");let ac=document.createElementNS(svgns,"path");const sc=x.indexOf("plein")!==-1?this.couleur:"none";sc!=="none"?t="M"+this.x+" "+this.y+"L"+Lr+" "+ec+"A"+w+" "+w+" "+this.ang1+" 0 "+(n?"1 ":"0 ")+ys+" "+tc+" Z":t="M"+Lr+" "+ec+"A"+w+" "+w+" "+this.ang1+" 0 "+(n?"1 ":"0 ")+ys+" "+tc,ac.setAttribute("d",t);const cc="stroke:"+this.couleur+";stroke-width:"+this.epaisseur+";",uc=cc+"fill:"+sc+";fill-opacity:"+this.opaciteRemplissage+";";ac.setAttribute("style",uc),nc.appendChild(ac);const lc=x.indexOf("O")!==-1,e0=Ie.tourne($e/2),dc=this.x+e0.x,kc=this.y+e0.y;if(lc){const h0=document.createElementNS(svgns,"circle");h0.setAttribute("r",5),h0.setAttribute("cx",dc),h0.setAttribute("cy",kc),h0.setAttribute("style",cc+"fill:none;"),nc.appendChild(h0)}const Jc=x.indexOf("triple")!==-1?2:x.indexOf("double")!==-1?1:0;for(let h0=1;h0<=Jc;h0++){ac=document.createElementNS(svgns,"path");const _0=w-h0*5,c0=Ie.vecteurColineaire(_0),f0=Dt.vecteurColineaire(_0);Lr=this.x+c0.x,ec=this.y+c0.y,ys=this.x+f0.x,tc=this.y+f0.y,t="M"+Lr+" "+ec+"A"+_0+" "+_0+" "+this.ang1+" 0 "+(n?"1 ":"0 ")+ys+" "+tc,ac.setAttribute("d",t),ac.setAttribute("style",cc+"fill:none;"),nc.appendChild(ac)}const n0=x.indexOf("///")!==-1?3:x.indexOf("//")!==-1?2:x.indexOf("/")!==-1?1:0;if(n0===0){this.g=nc;return}const d0=Jc+1,t0=e0.vecteurColineaire(1);switch(n0){case 1:u=this.x+t0.x*w,_=this.y+t0.y*w,r=document.createElementNS(svgns,"line"),r.setAttribute("x1",u-t0.x*5*d0),r.setAttribute("y1",_-t0.y*5*d0),r.setAttribute("x2",u+t0.x*5),r.setAttribute("y2",_+t0.y*5),r.setAttribute("style",uc),nc.appendChild(r);break;case 2:m=$e/6,g=6,Math.abs(m)>=Math.abs(g)&&(m=g),a=t0.tourne(m),s=this.x+a.x*w,l=this.y+a.y*w,r=document.createElementNS(svgns,"line"),r.setAttribute("x1",s-t0.x*5*d0),r.setAttribute("y1",l-t0.y*5*d0),r.setAttribute("x2",s+t0.x*5),r.setAttribute("y2",l+t0.y*5),r.setAttribute("style",uc),nc.appendChild(r),a=t0.tourne(-m),s=this.x+a.x*w,l=this.y+a.y*w,r=document.createElementNS(svgns,"line"),r.setAttribute("x1",s-t0.x*5*d0),r.setAttribute("y1",l-t0.y*5*d0),r.setAttribute("x2",s+t0.x*5),r.setAttribute("y2",l+t0.y*5),r.setAttribute("style",uc),nc.appendChild(r);break;case 3:u=this.x+t0.x*w,_=this.y+t0.y*w,r=document.createElementNS(svgns,"line"),r.setAttribute("x1",u-t0.x*5*d0),r.setAttribute("y1",_-t0.y*5*d0),r.setAttribute("x2",u+t0.x*5),r.setAttribute("y2",_+t0.y*5),r.setAttribute("style",uc),nc.appendChild(r),m=$e/4,g=9,Math.abs(m)>=Math.abs(g)&&(m=g),a=t0.tourne(m),s=this.x+a.x*w,l=this.y+a.y*w,r=document.createElementNS(svgns,"line"),r.setAttribute("x1",s-t0.x*5*d0),r.setAttribute("y1",l-t0.y*5*d0),r.setAttribute("x2",s+t0.x*5),r.setAttribute("y2",l+t0.y*5),r.setAttribute("style",uc),nc.appendChild(r),a=t0.tourne(-m),s=this.x+a.x*w,l=this.y+a.y*w,r=document.createElementNS(svgns,"line"),r.setAttribute("x1",s-t0.x*5*d0),r.setAttribute("y1",l-t0.y*5*d0),r.setAttribute("x2",s+t0.x*5),r.setAttribute("y2",l+t0.y*5),r.setAttribute("style",uc),nc.appendChild(r);break}this.g=nc};function AngleDroit(n,t,r,a,s,l,u,_){this.xsommet=parseFloat(r),this.ysommet=parseFloat(a),this.xinter=parseFloat(s),this.yinter=parseFloat(l),Ligne.call(this,n,t,u,_,100),this.objet="angle_droit"}AngleDroit.prototype=new Ligne;AngleDroit.prototype.creeg=function(){let n=new Vect(this.xsommet,this.ysommet,this.xinter,this.yinter);const t=n.norme();n=n.vecteurColineaire(t/Math.sqrt(2)),n=n.tourne(45);const r=n.tourne(-90),a=document.createElementNS(svgns,"polyline"),s=String(this.xsommet+n.x)+" "+String(this.ysommet+n.y)+" "+this.xsommet+" "+this.ysommet+" "+String(this.xsommet+r.x)+" "+String(this.ysommet+r.y);a.setAttribute("points",s),a.setAttribute("style",this.style+"fill:none;"),this.g=a};function Arc(n,t,r,a,s,l,u,_,m,g,f){this.x=parseFloat(r),this.y=parseFloat(a),this.ray=parseFloat(s),this.debut=parseFloat(l),this.fin=parseFloat(u),Ligne.call(this,n,t,_,m,g,f)}Arc.prototype=new Ligne;Arc.prototype.creeg=function(){const n=this.debut,t=this.fin,r=this.ray,a=n<t?"1":"0",s=Math.abs(t-n),l=document.createElementNS(svgns,"g");if(s>=359.9){const u=document.createElementNS(svgns,"circle");u.setAttribute("r",r),u.setAttribute("cx",0),u.setAttribute("cy",0),u.setAttribute("style",this.style+";fill:none;"),l.appendChild(u)}else{const u=document.createElementNS(svgns,"path"),_=new Vect(Math.cos(n*convDegRad)*r,Math.sin(n*convDegRad)*r),m=new Vect(Math.cos(t*convDegRad)*r,Math.sin(t*convDegRad)*r),g=_.x,f=_.y,x=m.x,w=m.y,Z="M"+g+" "+f+"A"+r+" "+r+" "+n+" "+(s>180?"1":"0")+" "+a+" "+x+" "+w;u.setAttribute("d",Z),u.setAttribute("style",this.style+";fill:none"),l.appendChild(u)}l.setAttribute("transform","translate("+this.x+","+this.y+")"),l.setAttribute("visibility","hidden"),this.g=l};Arc.prototype.creationAnimee=function(){return!0};Arc.prototype.lanceAnimation=function(n){const t=this.doc.compas;this.doc.compasLeve==null&&(this.doc.compasLeve=new CompasLeve(this.doc,t.x,t.y,t.angle,t.ecart));const r=this.doc.compasLeve;this.ray=this.doc.compas.ecart,this.angfin=this.fin,this.pasdeg=n/2,this.pasdeg*=this.fin>=this.debut?1:-1,this.distang=Math.abs(this.fin-this.debut),this.fin=this.debut,t.setPosition(this.x,this.y,this.debut),r.setPosition(this.x,this.y,this.debut);const a=this;this.timer=setInterval(function(){a.actionPourAnimation()},25)};Arc.prototype.actionPourAnimation=function(){const n=this.doc.compas,t=this.doc.compasLeve;this.fin+=this.pasdeg;const r=Math.abs(this.angfin-this.fin);r>this.distang||!this.doc.animationEnCours?(this.fin=this.angfin,this.updateg(),this.finAction(),clearInterval(this.timer),this.doc.actionSuivante()):(this.distang=r,this.updateg(),n.setPosition(this.x,this.y,this.fin),t!==null&&t.setPosition(this.x,this.y,this.fin))};Arc.prototype.finAction=function(){this.doc.compas.setPosition(this.x,this.y,this.fin),this.doc.compasLeve!==null&&this.doc.compasLeve.setPosition(this.x,this.y,this.fin)};function Gabarit(n,t,r,a,s,l,u,_,m,g){Ligne.call(this,n,t,u,_,g,"continu"),this.x=parseFloat(r),this.y=parseFloat(a),this.ray=s===null?10:parseFloat(s),this.ecartAngle=parseFloat(l),this.couleur=u,this.couleurFond=m===null?u:m,this.angle=0,this.objet="gabarit"}Gabarit.prototype=new Ligne;Gabarit.prototype.creationAnimee=function(){return!1};Gabarit.prototype.creeg=function(){const n=this.ecartAngle,t=this.ray,r=n>=0?"1":"0",a=Math.abs(n),s=document.createElementNS(svgns,"g"),l=document.createElementNS(svgns,"path"),u=new Vect(Math.cos(n*convDegRad)*t,Math.sin(n*convDegRad)*t),_=t,m=0,g=u.x,f=u.y,x="M 0 0 L "+_+" "+m+" A "+t+" "+t+" 0 "+(a>180?"1":"0")+" "+r+" "+g+" "+f+" Z";l.setAttribute("d",x);const w=parseFloat(this.opacite/100),Z="stroke:"+this.couleur+";stroke-width:"+this.epaisseur+";fill:"+this.couleurFond+";fill-opacity:"+w+";";l.setAttribute("style",Z),s.appendChild(l),s.setAttribute("transform","translate("+this.x+","+this.y+") rotate("+this.angle+")"),s.setAttribute("visibility","hidden"),this.g=s};Gabarit.prototype.donneRayon=function(n){this.ray=n,this.updateg(),this.setPosition(this.x,this.y,this.angle)};Gabarit.prototype.setPosition=function(n,t,r){this.x=n,this.y=t,this.angle=r,this.g.setAttribute("transform","translate("+n+","+t+") rotate("+r+")")};Gabarit.prototype.lanceAnimationModificationRayon=function(n,t){this.rayFin=n,this.rayInit=this.ray;const r=n-this.ray;if(this.dist=Math.abs(r),this.dray=Math.sign(r)*Math.abs(t/4),this.dist===0)return;const a=this;this.timer=setInterval(function(){a.actionPourModificationRayon()},25)};Gabarit.prototype.actionPourModificationRayon=function(){const n=this.ray+this.dray,t=Math.abs(n-this.rayInit);t>this.dist||!this.doc.animationEnCours?(this.donneRayon(this.rayFin),clearInterval(this.timer),this.doc.actionSuivante()):(this.dist=t,this.donneRayon(n))};function Axe(n,t,r,a,s,l,u,_,m,g){ObjetBase.call(this,n,"axeIEP",g),this.pente=t??"horizontal",this.largeur=r,this.haut=a==null?0:parseFloat(a),this.gauche=s==null?0:parseFloat(s),this.distanceBord=parseFloat(l),this.xgrad=u,this.xmin=_,this.xmax=m,this.cadre={},this.cadre.gauche=this.gauche*30,this.cadre.haut=this.haut*30,this.width=30*r,this.cadre.droite=this.gauche+this.width,this.cadre.bas=this.haut+this.width}Axe.prototype=new ObjetBase;Axe.prototype.creeg=function(){let n,t,r,a;this.g=document.createElementNS(svgns,"g");const s="stroke:black;stroke-width:1;";this.pente==="horizontal"&&this.xmax-this.xmin>this.xgrad?(t=Math.floor((this.xmax-this.xmin)/this.xgrad),r=this.distanceBord*30,a=determiner_graduations(this.xmin,this.xmax,this.xgrad),this.tracer_abscisses(a,this.xgrad,t,r),n=document.createElementNS(svgns,"line"),n.setAttribute("style",s),n.setAttribute("x1",this.cadre.gauche),n.setAttribute("y1",r),n.setAttribute("x2",this.cadre.droite),n.setAttribute("y2",r),this.g.appendChild(n)):this.xmax-this.xmin>this.xgrad&&(t=Math.floor((this.xmax-this.xmin)/this.xgrad),r=Number(this.distanceBord)*30,a=determiner_graduations(this.xmin,this.xmax,this.xgrad),this.tracer_ordonnees(a,this.xgrad,t,r),n=document.createElementNS(svgns,"line"),n.setAttribute("style",s),n.setAttribute("x1",r),n.setAttribute("y1",this.cadre.bas),n.setAttribute("x2",r),n.setAttribute("y2",this.cadre.haut),this.g.appendChild(n))};Axe.prototype.tracer_abscisses=function(n,t,r,a){let s,l,u,_;const g="stroke:black;stroke-width:1.5;";for(s=document.createElementNS(svgns,"line"),s.setAttribute("style",g),s.setAttribute("x1",this.cadre.gauche),s.setAttribute("y1",a),s.setAttribute("x2",this.cadre.droite),s.setAttribute("y2",a),this.g.appendChild(s),_=0;_<=r;_++){s=document.createElementNS(svgns,"line"),s.setAttribute("style",g),u=this.mettre_x_en_pixels(n+_*t),s.setAttribute("x1",u),s.setAttribute("y1",String(a-5)),s.setAttribute("x2",u),s.setAttribute("y2",String(a+5)),this.g.appendChild(s),l=document.createElementNS(svgns,"text"),l.setAttribute("x",u),l.setAttribute("y",a+12+5);const f="text-anchor:left;font-size:12px;fill:"+this.couleur+";";l.setAttribute("style",f),l.appendChild(document.createTextNode(String(n+_*t))),this.g.appendChild(l)}};Axe.prototype.tracer_ordonnees=function(n,t,r,a){let s,l,u;const m="stroke:black;stroke-width:1.5;";for(s=document.createElementNS(svgns,"line"),s.setAttribute("style",m),s.setAttribute("x1",a),s.setAttribute("y1",this.cadre.haut),s.setAttribute("x2",a),s.setAttribute("y2",this.cadre.bas),this.g.appendChild(s),u=0;u<=r;u++){s=document.createElementNS(svgns,"line"),s.setAttribute("style",m);const g=this.mettre_y_en_pixels(n+u*t);s.setAttribute("x1",String(a-5)),s.setAttribute("y1",g),s.setAttribute("x2",String(a+5)),s.setAttribute("y2",g),this.g.appendChild(s),l=document.createElementNS(svgns,"text"),l.setAttribute("x",a+10),l.setAttribute("y",g+2);const f="text-anchor:left;font-size:12px;fill:"+this.couleur+";";l.setAttribute("style",f),l.appendChild(document.createTextNode(String(n+u*t))),this.g.appendChild(l)}};Axe.prototype.mettre_x_en_pixels=function(n){return mettre_en_pixels(n,this.xmin,this.xmax,this.cadre.gauche,this.cadre.droite)};Axe.prototype.mettre_y_en_pixels=function(n){return mettre_en_pixels(n,this.xmax,this.xmin,this.cadre.haut,this.cadre.bas)};function DroiteAncetre(n,t,r,a,s,l,u,_,m,g){this.x1=parseFloat(r),this.y1=parseFloat(a),this.x2=parseFloat(s),this.y2=parseFloat(l),Ligne.call(this,n,t,u,_,m,g)}DroiteAncetre.prototype=new Ligne;DroiteAncetre.prototype.creeg=function(){const n=document.createElementNS(svgns,"g"),t=document.createElementNS(svgns,"line");t.setAttribute("x1",this.x1),t.setAttribute("y1",this.y1),t.setAttribute("x2",this.x2),t.setAttribute("y2",this.y2),t.setAttribute("style",this.style),n.appendChild(t),n.setAttribute("visibility","hidden"),this.g=n};DroiteAncetre.prototype.creationAnimee=function(){return!0};DroiteAncetre.prototype.lanceAnimation=function(n){this.vitesse=n/4;const t=new Vect(this.x1,this.y1,this.x2,this.y2);if(this.dist=t.norme(),zero(this.dist)){this.doc.actionSuivante();return}this.vect=t.vecteurColineaire(this.vitesse*1.8),this.xfin=this.x2,this.yfin=this.y2,this.x2=this.x1,this.y2=this.y1;const r=this.doc.crayon;r.setPosition(this.x1,this.y1,r.angle);const a=this;this.timer=setInterval(function(){a.actionPourAnimation(a)},25)};DroiteAncetre.prototype.actionPourAnimation=function(){this.x2+=this.vect.x,this.y2+=this.vect.y;const t=new Vect(this.x1,this.y1,this.x2,this.y2).norme(),r=this.doc.crayon;t>this.dist||!this.doc.animationEnCours?(this.x2=this.xfin,this.y2=this.yfin,this.finAction(),this.updateg(),clearInterval(this.timer),this.doc.actionSuivante()):(r.translate(this.x2,this.y2),this.updateg())};DroiteAncetre.prototype.finAction=function(){this.doc.crayon.translate(this.x2,this.y2)};function Droite(n,t,r,a,s,l,u,_,m,g){DroiteAncetre.call(this,n,t,r,a,s,l,u,_,m,g)}Droite.prototype=new DroiteAncetre;Droite.prototype.creeg=function(){if(this.calcule(),this.horsFenetre)this.g=document.createElementNS(svgns,"g");else{const n=document.createElementNS(svgns,"line");n.setAttribute("x1",this.xext1),n.setAttribute("y1",this.yext1),n.setAttribute("x2",this.xext2),n.setAttribute("y2",this.yext2),n.setAttribute("style",this.style),this.g=n}this.g.setAttribute("visibility","hidden")};Droite.prototype.calcule=function(){const{x1:n,y1:t,x2:r,y2:a}=this;if(n===r&&t===a){this.horsFenetre=!0;return}this.horsFenetre=!1;const s=this.doc.getWidth(),l=this.doc.getHeight();if(n===r){if(this.xext1=n,this.yext1=0,this.xext2=n,this.yext2=l,n<0||n>s){this.horsFenetre=!0;return}this.xext1=n,this.yext1=0,this.xext2=n,this.yext2=l;return}if(t===a){if(this.xext1=0,this.yext1=t,this.xext2=s,this.yext2=t,t<0||t>l){this.horsFenetre=!0;return}this.xext1=0,this.yext1=t,this.xext2=s,this.yext2=t;return}let u=0;const _=(a-t)/(r-n),m=0,g=this.y1+_*(m-n);g>=0&&g<=l&&(u++,this.xext1=m,this.yext1=g);const f=s,x=_*(f-n)+t;if(x>=0&&x<=l)if(u++,u===1)this.xext1=f,this.yext1=x;else{this.xext2=f,this.yext2=x;return}const w=0,Z=(w-t)/_+n;if(Z>0&&Z<s)if(u++,u===1)this.xext1=Z,this.yext1=w;else{this.xext2=Z,this.yext2=w;return}const Ce=l,ne=(Ce-t)/_+n;ne>0&&ne<=s?(u++,u===2?(this.xext2=ne,this.yext2=Ce):this.horsFenetre=!0):this.horsFenetre=!0,this.horsFenetre&&(this.xext1=0,this.yext1=g,this.xext2=f,this.yext2=x)};function DemiDroite(n,t,r,a,s,l,u,_,m,g){Droite.call(this,n,t,r,a,s,l,u,_,m,g)}DemiDroite.prototype=new Droite;DemiDroite.prototype.calcule=function(){Droite.prototype.calcule.call(this);const n=new Vect(this.x1,this.y1,this.x2,this.y2);if(this.horsFenetre)return;const t=new Vect(this.x1,this.y1,this.xext1,this.yext1);if(t.presqueNul()){const r=new Vect(this.x1,this.y1,this.xext2,this.yext2);colineairesMemeSens(r,n)?(this.xext1=this.x1,this.yext1=this.y1):(this.xext2=this.xext1,this.yext2=this.yext1,this.xext1=this.x1,this.yext1=this.y1)}else colineairesMemeSens(t,n)?(this.xext2=this.xext1,this.yext2=this.yext1,this.xext1=this.x1,this.yext1=this.y1):(this.xext1=this.x1,this.yext1=this.y1)};function Imag(n,t,r){this.doc=n,this.id=t,this.url=r,this.x=0,this.y=0,this.angle=0,this.objet="image",this.zoomfactor=1}Imag.prototype=new ObjetBase;Imag.prototype.initialisePosition=function(){this.x=0,this.y=0,this.angle=0,this.zoomfactor=1,this.positionne()};Imag.prototype.prepareAction=function(){const n=new Image;n.owner=this,this.action=new ActionCreation(this.doc,this.id,this),this.action.isReady=!1,this.doc.ajouteAction(this.action),n.onload=function(){const t=this.owner;t.width=this.width,t.height=this.height,t.action.isReady=!0},n.src=this.url};Imag.prototype.creeg=function(){const n=document.createElementNS(svgns,"image");n.setAttribute("width",this.width),n.setAttribute("height",this.height),n.setAttributeNS("http://www.w3.org/1999/xlink","href",this.url),n.setAttribute("x",this.x),n.setAttribute("y",this.y),n.setAttribute("visibility","hidden"),this.g=n,this.setPosition(this.x,this.y,this.angle,this.zoomfactor),this.doc.svg.appendChild(n)};Imag.prototype.setPosition=function(n,t,r,a){this.x=n,this.y=t,this.angle=r,this.zoomfactor=a,this.g?this.g.setAttribute("transform","scale("+a+") translate("+String(n/a)+","+String(t/a)+") rotate("+r+")"):console.error("Il faut appeler imag.creeg avant imag.setPosition")};Imag.prototype.positionne=function(){this.setPosition(this.x,this.y,this.angle,this.zoomfactor)};function LigneContinue(n,t,r,a,s,l,u,_,m,g){Ligne.call(this,n,t,u,_,m,g),this.xdeb=r,this.ydeb=a,this.abs=s.split(","),this.ord=l.split(","),this.objet="trait"}LigneContinue.prototype=new Ligne;LigneContinue.prototype.creeg=function(){let n,t;const r=document.createElementNS(svgns,"polyline");for(n=this.xdeb+" "+this.ydeb,t=0;t<this.abs.length;t++)n+=" "+this.abs[t]+" "+this.ord[t];r.setAttribute("points",n),r.setAttribute("style",this.style+"fill:none;"),r.setAttribute("visibility","hidden"),this.g=r};LigneContinue.prototype.creationAnimee=function(){return!0};LigneContinue.prototype.lanceAnimation=function(){this.sauveabs=this.abs,this.sauveord=this.ord,this.abs=[],this.ord=[],this.ind=-1;const n=this;this.timer=setInterval(function(){n.actionPourAnimation()},25)};LigneContinue.prototype.actionPourAnimation=function(){this.ind++;const n=this.doc.crayon;if(this.ind>=this.sauveabs.length)this.abs=this.sauveabs,this.ord=this.sauveord,this.updateg(),clearInterval(this.timer),this.finAction(),this.doc.actionSuivante();else{const t=this.sauveabs[this.ind],r=this.sauveord[this.ind];this.abs.push(t),this.ord.push(r),this.updateg(),n.setPosition(parseFloat(t),parseFloat(r),n.angle),this.updateg()}};LigneContinue.prototype.finAction=function(){const n=this.abs.length;this.doc.crayon.translate(parseFloat(this.abs[n-1]),parseFloat(this.ord[n-1]))};function MarqueSegment(n,t,r,a,s,l,u){this.x=parseFloat(r),this.y=parseFloat(a),this.motif=u,Ligne.call(this,n,t,s,l,100),this.objet="longueur"}MarqueSegment.prototype=new Ligne;MarqueSegment.prototype.creeg=function(){let n,t,r;switch(this.motif){case"/":n=document.createElementNS(svgns,"line"),n.setAttribute("x1",5),n.setAttribute("y1",-5),n.setAttribute("x2",-5),n.setAttribute("y2",5),n.setAttribute("style",this.style);break;case"\\":n=document.createElementNS(svgns,"line"),n.setAttribute("x1",-5),n.setAttribute("y1",-5),n.setAttribute("x2",5),n.setAttribute("y2",5),n.setAttribute("style",this.style);break;case"//":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r+=2)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*2.5+5),t.setAttribute("y1",-5),t.setAttribute("x2",r*2.5-5),t.setAttribute("y2",5),t.setAttribute("style",this.style),n.appendChild(t);break;case"///":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r++)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*5+5),t.setAttribute("y1",-5),t.setAttribute("x2",r*5-5),t.setAttribute("y2",5),t.setAttribute("style",this.style),n.appendChild(t);break;case"\\\\":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r+=2)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*2.5-5),t.setAttribute("y1",-5),t.setAttribute("x2",r*2.5+5),t.setAttribute("y2",5),t.setAttribute("style",this.style),n.appendChild(t);break;case"\\\\\\":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r++)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*5-5),t.setAttribute("y1",-5),t.setAttribute("x2",r*5+5),t.setAttribute("y2",5),t.setAttribute("style",this.style),n.appendChild(t);break;case"X":n=document.createElementNS(svgns,"g"),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",-5),t.setAttribute("y1",-5),t.setAttribute("x2",5),t.setAttribute("y2",5),t.setAttribute("style",this.style),n.appendChild(t),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",5),t.setAttribute("y1",-5),t.setAttribute("x2",-5),t.setAttribute("y2",5),t.setAttribute("style",this.style),n.appendChild(t);break;case"O":n=document.createElementNS(svgns,"circle"),n.setAttribute("cx",0),n.setAttribute("cy",0),n.setAttribute("r",5),n.setAttribute("style",this.style+"fill:none;");break;default:n=document.createElementNS(svgns,"g")}this.g=n};MarqueSegment.prototype.positionne=function(){this.g.setAttribute("transform","translate("+this.x+","+this.y+")")};MarqueSegment.prototype.translate=function(n,t){this.x=n,this.y=t,this.positionne()};function Segment(n,t,r,a,s,l,u,_,m,g,f){DroiteAncetre.call(this,n,t,r,a,s,l,u,_,m,g),this.stylefleche=f}Segment.prototype=new DroiteAncetre;Segment.prototype.creeg=function(){if(DroiteAncetre.prototype.creeg.call(this),this.stylefleche==="vecteur"){const t=this.x1,r=this.x2,a=this.y1,s=this.y2,u=new Vect(r,s,t,a).vecteurColineaire(12),_=new Vect(u.x*cos30-u.y*sin30,u.x*sin30+u.y*cos30),m=new Vect(u.x*cos30+u.y*sin30,-u.x*sin30+u.y*cos30),g=String(r+_.x)+" "+String(s+_.y)+","+r+" "+s+","+String(r+m.x)+" "+String(s+m.y),f=document.createElementNS(svgns,"polyline");f.setAttribute("points",g);const x="stroke:"+this.couleur+";stroke-width:"+this.epaisseur+";stroke-opacity:"+this.opacite+";fill:none";f.setAttribute("style",x),this.g.appendChild(f)}};function MarqueSeg(n,t,r,a,s,l,u){this.idSeg=r,this.motif=l,this.rayon=u!==null?u:"5",Ligne.call(this,n,t,a,s,100),this.objet="marque"}MarqueSeg.prototype=new Ligne;MarqueSeg.prototype.creeg=function(){let n,t,r;if(this.doc.getElement(this.idSeg,"trait")instanceof Segment){const s=this.rayon,l=5,u=l/2,_=5;switch(this.motif){case"/":n=document.createElementNS(svgns,"line"),n.setAttribute("x1",s),n.setAttribute("y1",-s),n.setAttribute("x2",-s),n.setAttribute("y2",s),n.setAttribute("style",this.style);break;case"\\":n=document.createElementNS(svgns,"line"),n.setAttribute("x1",-s),n.setAttribute("y1",-s),n.setAttribute("x2",s),n.setAttribute("y2",s),n.setAttribute("style",this.style);break;case"//":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r+=2)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*u+s),t.setAttribute("y1",-s),t.setAttribute("x2",r*u-s),t.setAttribute("y2",s),t.setAttribute("style",this.style),n.appendChild(t);break;case"///":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r++)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*l+s),t.setAttribute("y1",-s),t.setAttribute("x2",r*l-s),t.setAttribute("y2",s),t.setAttribute("style",this.style),n.appendChild(t);break;case"\\\\":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r+=2)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*u-s),t.setAttribute("y1",-s),t.setAttribute("x2",r*u+s),t.setAttribute("y2",s),t.setAttribute("style",this.style),n.appendChild(t);break;case"\\\\\\":for(n=document.createElementNS(svgns,"g"),r=-1;r<=1;r++)t=document.createElementNS(svgns,"line"),t.setAttribute("x1",r*l-s),t.setAttribute("y1",-s),t.setAttribute("x2",r*l+s),t.setAttribute("y2",s),t.setAttribute("style",this.style),n.appendChild(t);break;case"X":n=document.createElementNS(svgns,"g"),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",-s),t.setAttribute("y1",-s),t.setAttribute("x2",s),t.setAttribute("y2",s),t.setAttribute("style",this.style),n.appendChild(t),t=document.createElementNS(svgns,"line"),t.setAttribute("x1",s),t.setAttribute("y1",-s),t.setAttribute("x2",-s),t.setAttribute("y2",s),t.setAttribute("style",this.style),n.appendChild(t);break;case"O":n=document.createElementNS(svgns,"circle"),n.setAttribute("cx",0),n.setAttribute("cy",0),n.setAttribute("r",_),n.setAttribute("style",this.style+"fill:none;");break;default:n=document.createElementNS(svgns,"g")}}else console.log("Maque de segment non associée à un objet segment"),n=document.createElementNS(svgns,"g");this.g=n};MarqueSeg.prototype.positionne=function(){const n=this.doc.getElement(this.idSeg,"trait"),t=new Vect(n.x1,n.y1,n.x2,n.y2),r=(n.x1+n.x2)/2,a=(n.y1+n.y2)/2,s=-t.angle();this.g.setAttribute("transform","translate("+r+","+a+") rotate("+s+") ")};MarqueSeg.prototype.translate=function(n,t){this.x=n,this.y=t,this.positionne()};Array.prototype.forEach||(Array.prototype.forEach=function(n){for(var t=0;t<this.length;t++)n(this[t],t,this)});var specialHtmlChars={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;","'":"&#039;"};function countSlash(n){if(typeof n!="string")throw new TypeError("countSlash n’accepte qu’une string en paramètre");return n.replace(/[^/]+/g,"").length}function escapeForHtml(n,t){return t?n.replace(/[&<>"']/g,function(r){return specialHtmlChars[r]}):n.replace(/</g,"&lt;")}function formatDate$1(n,t){function r(a,s){return pad(a,"0",s)}if(!t)t=new Date;else if(!(t instanceof Date))throw new TypeError("date is not a Date");if(typeof n!="string")throw new TypeError("format is not a string");return n.replace(/%(.)/g,function(a,s){switch(s){case"d":return r(t.getDate());case"F":return String(t.getFullYear())+"-"+r(t.getMonth()+1)+"-"+r(t.getDate());case"H":return r(t.getHours());case"m":return r(t.getMonth()+1);case"M":return r(t.getMinutes());case"o":return r(t.getMilliseconds(),3);case"O":return r(t.getHours())+":"+r(t.getMinutes())+":"+r(t.getSeconds())+"."+r(t.getMilliseconds(),3);case"s":return r(Math.round(t.getTime()/1e3));case"S":return r(t.getSeconds());case"T":return r(t.getHours())+":"+r(t.getMinutes())+":"+r(t.getSeconds());case"y":return String(t.getFullYear()).substr(2);case"Y":return t.getFullYear();case"%":return"%";default:return"%"+s}})}function getToken(){return Math.random().toString(36).substr(2)+Math.random().toString(36).substr(2)}function hasProp$3(n,t){return typeof n=="object"&&Object.prototype.hasOwnProperty.call(n,t)}function isArray(n){return Array.isArray(n)}function isArrayEmpty(n){return!!(Array.isArray(n)&&n.length===0)}function isArrayNotEmpty(n){return!!(Array.isArray(n)&&n.length)}function isDate(n){return typeof n=="object"&&Object.prototype.toString.call(n)==="[object Date]"}function isError(n){switch(Object.prototype.toString.call(n)){case"[object Error]":return!0;case"[object Exception]":return!0;case"[object DOMException]":return!0;default:return n instanceof Error}}function isFunction(n){return typeof n=="function"}function isInArray(n,t){if(!Array.isArray(n))throw new Error("isInArray veut un tableau en 1er argument");return n.indexOf(t)!==-1}function isInt(n,t){switch(typeof n){case"number":return Math.floor(n)===n;case"string":return!!(t&&n&&Math.floor(n)==n);default:return!1}}function isIntPos(n,t,r){return isInt(n,r)&&(t?n>0:n>=0)}function isObject(n){var t=typeof n;return!!n&&(t==="object"||t==="function")}function 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r;try{r=t?JSON.stringify(n,null,t):JSON.stringify(n)}catch{var a,s,l=[];for(a in n)if(hasProp$3(n,a)&&!isUndefined(n[a])&&!isFunction(n[a])){s=n[a],r='"'+a+'":';try{r+=t?JSON.stringify(s,null,t):JSON.stringify(s)}catch(g){r+='"'+g.toString().replace(/\n/g,"\\n")+'"'}l.push(r)}var u=",";if(r="{",t){var _=`
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r=loggers[t]||console.log,a="";if(hasDatePrefix&&(a=formatDate(datePrefix)),hasProcessPrefix&&(a&&(a+=" "),a+="["+processPrefix+"]"),a&&(a+=" "),a+=prefixes[t],n.length<1&&(n=[Error("fonction de log appelée sans contenu")]),r(a,n[0]),n.length>1)for(var s=1;s<n.length;s++)r(n[s])}catch{}}function log$1(){logLevel<levels.warning&&_log(arguments,levels.info)}log$1.debug=function n(){logLevel<levels.info&&_log(arguments,levels.debug)};log$1.info=function n(){logLevel<levels.warning&&_log(arguments,levels.info)};log$1.warn=function n(){logLevel<levels.error&&_log(arguments,levels.warning)};log$1.ifError=function n(){n&&logLevel<levels.critical&&_log(arguments,levels.error)};log$1.error=function n(){logLevel<levels.critical&&_log(arguments,levels.error)};log$1.critical=function n(){_log(arguments,levels.critical)};log$1.disable=function n(){logLevel=levels.error};log$1.disableDatePrefix=function n(){hasDatePrefix=!1};log$1.disableProcessPrefix=function n(){hasProcessPrefix=!1};log$1.dump=function(n,t,r){typeof r!="object"&&(r={});var a=r.level||levels.debug;typeof a=="string"&&(a=levels[a]||levels.debug);var s=dump(t),l=r.max||1e3;s.length>l&&(s=s.substr(0,l)+"…"),logLevel<=a&&_log([n,s],a)};log$1.enable=function n(){logLevel=levels.info};log$1.enableDatePrefix=function n(){hasDatePrefix=!0};log$1.enableProcessPrefix=function n(){typeof process>"u"?console.error("process not available"):hasProcessPrefix=!0};log$1.setDatePrefix=function n(t){typeof t=="string"?datePrefix=t:log$1.error(new Error("Le préfixe de log doit être une string"))};log$1.setLogLevel=function n(t){switch(t){case 0:case"0":case"debug":logLevel=levels.debug;break;case 1:case"1":case"info":case"notice":logLevel=levels.notice;break;case 2:case"2":case"warn":case"warning":logLevel=levels.warning;break;case 3:case"3":case"err":case"error":logLevel=levels.error;break;case 4:case"4":case"alert":case"crit":case"critical":logLevel=levels.critical;break;default:log$1.error("niveau d’erreur "+t)}};log$1.levels={debug:0,info:1,notice:1,warn:2,warning:2,error:3,alert:4,critical:4};var log_1=log$1,log=log_1,hasProp=sesajstools.hasProp;function addCss(n){for(var t=window.document.getElementsByTagName("head")[0],r=t.getElementsByTagName("link"),a=!1,s=0;s<r.length;s++)if(r[s].href===n){a=!0;break}if(a)log(n+" était déjà présent, on ne l'ajoute pas");else{var l=window.document.createElement("link");l.rel="stylesheet",l.type="text/css",l.href=n,t.appendChild(l)}}function addJs(n,t){function r(){t(),s.removeEventListener("load",r)}var a=window.document.getElementsByTagName("body")[0],s=window.document.createElement("script");s.type="text/javascript",a.appendChild(s),s.addEventListener("load",r),s.src=n}function addElement(n,t,r,a){var s=getElement(t,r,a);return n.appendChild(s),s}function addElementAfter(n,t,r,a){var s=getElement(t,r,a),l=n.parentNode;return l?l.insertBefore(s,n.nextSibling):log.error(new Error("Navigateur incompatible (pas de parentNode), impossible d'ajouter l'élément")),s}function addElementBefore(n,t,r,a){var s=getElement(t,r,a),l=n.parentNode;return l?l.insertBefore(s,n):log.error(new Error("Navigateur incompatible (pas de parentNode), impossible d'insérer l'élément")),s}function addElementFirstChild(n,t,r,a){var s=getElement(t,r,a);return n.insertBefore(s,n.firstChild),s}function addElementFirstSibling(n,t,r,a){var s=getElement(t,r,a);return n.parentNode.insertBefore(s,n.parentNode.firstChild),s}function addText(n,t){n.appendChild(window.document.createTextNode(t))}function empty(n){if(n&&n.firstChild)for(;n.firstChild;)n.removeChild(n.firstChild)}function getElement(n,t,r){var a=window.document.createElement(n),s;try{if(t)for(s in t)hasProp(t,s)&&(s==="class"?a.className=t.class:s==="className"?a.className=t.className:s==="style"?setStyles(a,t.style):a.setAttribute(s,t[s]))}catch(l){log("plantage dans getElement "+n+" avec les attributs ",t,l)}return r&&addText(a,r),a}function getSize(){var n=window.document.compatMode==="CSS1Compat"?window.document.documentElement:window.document.body;return{width:Math.floor(Math.min(n.clientWidth,window.innerWidth)),height:Math.floor(Math.min(n.clientHeight,window.innerHeight))}}var getNewId=function(){var n=1e4,t=0,r="sesa"+t;return function(){for(;window.document.getElementById(r)&&t<n;)t++,r="sesa"+t;if(t===n)throw Error("Max de "+n+" id générés atteint");return r}}();function setStyles(n,t){try{if(n&&n.style){if(typeof t=="string")t=t.split(";"),t.forEach(function(a){if(a=/([\w]+):(.+)/.exec(a),a&&a.length===3){var s=a[1];n.style[s]=a[2]}});else if(typeof t=="object")for(var r in t)hasProp(t,r)&&(n.style[r]=t[r])}}catch(a){log.error(a)}}var dom={addCss,addJs,addElement,addElementAfter,addElementBefore,addElementFirstChild,addElementFirstSibling,addText,empty,getElement,getSize,getNewId,setStyles};function NomPoint(n,t,r,a,s,l){ObjetBase.call(this,n,t,l),this.dx=r==null?2:parseFloat(r),this.dy=a==null?4:parseFloat(a),this.nom=remplaceBalises(remplaceCarSpe(s)),this.taille=20,this.point=this.doc.getElement(this.id,"point"),this.objet="point",this.nom=this.nom.replace(/\*/g,"×"),necessiteLatex(s)?(this.nom="$"+this.traiteMaths(this.nom)+"$",this.estLatex=!0):this.estLatex=!1}NomPoint.prototype=new ObjetBase;NomPoint.prototype.creeg=function(){let n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt=0;const Lr="<",ec="£e(",ys="£i(",tc=document.createElementNS(svgns,"g"),nc=getTaille(this),ac=nc+2;let sc=0;const cc=nc*.4;if(this.nom.length!==0){if(l=document.createElementNS(svgns,"text"),l.setAttribute("pointer-events","none"),l.setAttribute("x",0),l.setAttribute("y",0),s="text-anchor:left;font-size:"+nc+"px;fill:"+this.couleur+";",l.setAttribute("style",s),a=this.nom.replace(/ /g," "),this.nom.indexOf(Lr)===-1&&this.nom.indexOf(ec)===-1&&this.nom.indexOf(ys)===-1&&this.nom.indexOf("<br>")===-1)l.appendChild(document.createTextNode(a));else for(Ce=a.split(/<br>/gi),Z=-ac,ne=0;ne<Ce.length;ne++)for($e=!0,r=Ce[ne];r.length!==0;)if(n=r.indexOf(Lr),_=r.indexOf(ec),m=r.indexOf(ys),$e&&(Z+=ac+sc),_!==-1&&(Z+=cc),n===-1&&_===-1&&m===-1){t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.setAttribute("dy",Dt),$e&&(t.setAttribute("x",0),t.setAttribute("y",Z),$e=!1),Dt=0,t.appendChild(document.createTextNode(r)),l.appendChild(t);break}else for(;r.indexOf(Lr)!==-1||r.indexOf(ec)!==-1||r.indexOf(ys)!==-1;)if(n=r.indexOf(Lr),_=r.indexOf(ec),m=r.indexOf(ys),n===-1?_===-1?g=m:g=m===-1?_:Math.min(m,_):_===-1?g=m===-1?n:Math.min(n,m):m===-1?g=Math.min(n,_):g=Math.min(n,m,_),g>0)t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.setAttribute("dy",Dt),$e&&(t.setAttribute("x",0),t.setAttribute("y",Z),$e=!1),Dt=0,t.appendChild(document.createTextNode(r.substring(0,g))),l.appendChild(t),r=r.substring(g);else if(n===0){const uc=new InfoBalise(!1,!1,!1,this.couleur,"",nc);u=indiceFinBalise(r),traiteBalise(u===-1?r:r.substring(0,u),uc,l,$e,Z),$e=!1,u!==-1?r=r.substring(u):r="",Dt=0}else f=g===_,Ie=analyseExposantOuIndice(r),t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.setAttribute("dy",Dt+"px"),$e&&(t.setAttribute("x",0),t.setAttribute("y",Z),$e=!1),Ie.erreur?t.appendChild(document.createTextNode(r)):(t.appendChild(document.createTextNode(Ie.operande)),l.appendChild(t),t=document.createElementNS(svgns,"tspan"),t.setAttribute("pointer-events","none"),t.appendChild(document.createTextNode(Ie.exposant)),Dt=cc,f?Dt=-Dt:sc=Dt,t.setAttribute("dy",Dt+"px"),x=nc*.6,w="font-size:"+x+"px;",t.setAttribute("style",w),l.appendChild(t),Dt=-Dt),r=Ie.texte;tc.appendChild(l),this.g=tc}tc.setAttribute("visibility","hidden")};NomPoint.prototype.creegLatex=function(){try{const n=document.createElementNS(svgns,"g"),t=this.html.firstChild,r=t.cloneNode(!0);n.appendChild(r);const a=parseFloat(t.getAttribute("width"))*this.ex,s=parseFloat(t.getAttribute("height"))*this.ex,l=r.style["vertical-align"],u=(l&&parseFloat(l)||1)*this.ex;r.setAttribute("width",a+"px"),r.setAttribute("height",s+"px"),dom.setStyles(r,"vertical-align",u+"px"),r.setAttribute("x","0");const _=getTaille(this);r.setAttribute("y",String(-_)),r.setAttribute("visibility","hidden"),this.g=n}catch(n){console.error(n,"on remplace par un <g> vide"),this.g=document.createElementNS(svgns,"g")}};NomPoint.prototype.positionne=function(){this.point===null&&(this.point=this.doc.getElement(this.id,"point"));const n=this.point.x,t=this.point.y,r=getTaille(this);this.g.setAttribute("transform","translate("+String(n+this.dx)+","+String(t+this.dy+r)+")")};NomPoint.prototype.traiteMaths=function(n){return getMathsForName(n,!0)};function Point(n,t,r,a,s,l){this.x=parseFloat(r),this.y=parseFloat(a),this.xinit=this.x,this.yinit=this.y,this.xcons=this.x,this.ycons=this.y,Ligne.call(this,n,t,s,l),this.style+="stroke-linecap:round;",this.nom=null,this.objet="point"}Point.prototype=new Ligne;Point.prototype.initialisePosition=function(){this.x=this.xinit,this.y=this.yinit,this.positionne()};Point.prototype.creeg=function(){const t=document.createElementNS(svgns,"g");let r;r=document.createElementNS(svgns,"line"),r.setAttribute("x1",-5),r.setAttribute("y1",5),r.setAttribute("x2",5),r.setAttribute("y2",-5),r.setAttribute("style",this.style),t.appendChild(r),r=document.createElementNS(svgns,"line"),r.setAttribute("x1",-5),r.setAttribute("y1",-5),r.setAttribute("x2",5),r.setAttribute("y2",5),r.setAttribute("style",this.style),t.appendChild(r),this.g=t};Point.prototype.positionne=function(){this.g.setAttribute("transform","translate("+this.x+","+this.y+")")};Point.prototype.translate=function(n,t){this.x=n,this.y=t,this.positionne(),this.nom!==null&&this.nom.positionne()};Point.prototype.updateg=function(){this.setPosition(this.x,this.y)};Point.prototype.montre=function(n){ObjetBase.prototype.montre.call(this,n),this.nom!==null&&this.nom.g&&this.nom.montre(n)};function Polygone(n,t,r,a,s,l,u,_){ObjetBase.call(this,n,t,s),this.abs=r.split(","),this.ord=a.split(","),this.sauveabs=this.abs,this.sauveord=this.ord,this.epaisseur=l,this.opacite=_??"60";const m=parseFloat(this.opacite/100);u==null?this.couleurFond=this.couleur:this.couleurFond=u,this.style="stroke:"+s+";stroke-width:"+l+";fill:"+this.couleurFond+";",this.style+="fill-opacity:"+m+";",this.objet="trait"}Polygone.prototype=new ObjetBase;Polygone.prototype.creeg=function(){let n,t;const r=document.createElementNS(svgns,"polygon");for(n="",t=0;t<this.abs.length;t++)n+=" "+this.abs[t]+" "+this.ord[t];r.setAttribute("points",n),r.setAttribute("style",this.style),r.setAttribute("visibility","hidden"),this.g=r};Polygone.prototype.creationAnimee=function(){return!0};Polygone.prototype.lanceAnimation=function(n){this.pix=parseFloat(n/2),this.abs=[],this.abs[0]=this.sauveabs[0],this.ord=[],this.ord[0]=this.sauveord[0],this.ind=0,this.n=0;const t=this.doc.crayon,r=new Vect(parseFloat(this.sauveabs[0]),parseFloat(this.sauveord[0]),parseFloat(this.sauveabs[1]),parseFloat(this.sauveord[1]));this.longcote=r.norme(),this.vect=r.vecteurColineaire(this.pix),t.setPosition(parseFloat(this.abs[0]),parseFloat(this.ord[0]),t.angle);const a=this;this.timer=setInterval(function(){a.actionPourAnimation()},25)};Polygone.prototype.actionPourAnimation=function(){const n=this.doc.crayon;let t=this.ind;const r=parseFloat(this.abs[t]),a=parseFloat(this.ord[t]);if(this.n++,this.doc.animationEnCours)if(this.n*this.pix<=this.longcote){const s=r+this.n*this.vect.x,l=a+this.n*this.vect.y;this.abs[t+1]=String(s),this.ord[t+1]=String(l),n.translate(s,l),this.updateg()}else if(this.ind++,t++,t===this.sauveabs.length-1)clearInterval(this.timer),this.finAction(),this.doc.actionSuivante();else{this.abs[t]=this.sauveabs[t],this.ord[t]=this.sauveord[t],n.translate(parseFloat(this.abs[t]),parseFloat(this.ord[t]));const s=new Vect(parseFloat(this.sauveabs[t]),parseFloat(this.sauveord[t]),parseFloat(this.sauveabs[t+1]),parseFloat(this.sauveord[t+1]));this.longcote=s.norme(),this.vect=s.vecteurColineaire(this.pix),this.n=0}else clearInterval(this.timer),this.finAction(),this.doc.actionSuivante()};Polygone.prototype.finAction=function(){this.abs=this.sauveabs,this.ord=this.sauveord;const n=this.abs.length;this.updateg(),this.doc.crayon.translate(parseFloat(this.abs[n-1]),parseFloat(this.ord[n-1]))};function Quadrillage(n,t,r,a,s,l,u){ObjetBase.call(this,n,"quadrillageIEP",u),this.hauteur=parseFloat(r),this.largeur=parseFloat(a),this.haut=s==null?0:parseFloat(s),this.gauche=l==null?0:parseFloat(l),this.type=t,this.cadre={},this.cadre.gauche=this.gauche*30,this.cadre.haut=this.haut*30,this.cadre.droite=this.cadre.gauche+this.largeur*30,this.cadre.bas=this.cadre.haut+this.hauteur*30,this.objet="quadrillage"}Quadrillage.prototype=new ObjetBase;Quadrillage.prototype.creeg=function(){const n=this.cadre.gauche,t=this.cadre.droite,r=this.cadre.haut,a=this.cadre.bas,s=this.couleur;this.g=document.createElementNS(svgns,"g");const l=this.doc.svg.getElementById("quadrillageIEP");switch(l!=null&&this.doc.svg.removeChild(l),this.type){case"seyes":this.tracer_grille(s,24,6,n,r,t,a,!1,1),this.tracer_grille(s,24,24,n,r,t,a,!1,1);break;case"millimetre":this.tracer_grille(s,3,3,n,r,t,a,!1,.6),this.tracer_grille(s,30,30,n,r,t,a,!1,.8),this.tracer_grille(s,150,150,n,r,t,a,!1,1);break;case"10x10":case"10x":this.tracer_grille(s,30,30,n,r,t,a,!1,1);break;case"5x5":case"5x":default:this.tracer_grille(s,15,15,n,r,t,a,!1,1);break}};Quadrillage.prototype.tracer_grille=function(n,t,r,a,s,l,u,_,m){let g,f;const x="stroke:"+n+";stroke-width:0.5;stroke-opacity:"+m+";";_&&(this.style+="stroke-dasharray:2 2;");let w=Math.ceil(Math.abs(l-a)/t);for(f=0;f<w;f++)g=document.createElementNS(svgns,"line"),g.setAttribute("style",x),g.setAttribute("x1",a+f*t),g.setAttribute("y1",s),g.setAttribute("x2",a+f*t),g.setAttribute("y2",u),g.setAttribute("style",x),this.g.appendChild(g);for(w=Math.ceil(Math.abs(u-s)/r),f=0;f<w;f++)g=document.createElementNS(svgns,"line"),g.setAttribute("style",x),g.setAttribute("x1",a),g.setAttribute("y1",s+f*r),g.setAttribute("x2",l),g.setAttribute("y2",s+f*r),g.setAttribute("style",x),this.g.appendChild(g)};function Repere(n,t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce){ObjetBase.call(this,n,"repereIEP",x),this.hauteur=t,this.largeur=r,this.haut=a==null?0:parseFloat(a),this.gauche=s==null?0:parseFloat(s),this.xgrad=parseFloat(l),this.ygrad=parseFloat(u),this.xmin=parseFloat(_),this.xmax=parseFloat(m),this.ymin=parseFloat(g),this.ymax=parseFloat(f),this.grille=w??"visible",this.axes=Z??"visible",this.etiquettes=Ce??"visible",this.cadre={},this.cadre.gauche=this.gauche*30,this.cadre.haut=this.haut*30,this.cadre.droite=this.cadre.gauche+this.largeur*30,this.cadre.bas=this.cadre.haut+this.hauteur*30}Repere.prototype=new ObjetBase;Repere.prototype.mettre_x_en_pixels=function(n){return mettre_en_pixels(n,this.xmin,this.xmax,this.cadre.gauche,this.cadre.droite)};Repere.prototype.mettre_y_en_pixels=function(n){return mettre_en_pixels(n,this.ymax,this.ymin,this.cadre.haut,this.cadre.bas)};Repere.prototype.tracer_abscisses=function(n,t,r,a,s,l){let u,_,m,g;const x="stroke:black;stroke-width:0.5;";for(this.grille==="invisible"&&this.axes!=="invisible"&&(u=document.createElementNS(svgns,"line"),u.setAttribute("style",x),u.setAttribute("x1",this.cadre.gauche),u.setAttribute("y1",a),u.setAttribute("x2",this.cadre.droite),u.setAttribute("y2",a),this.g.appendChild(u)),g=0;g<=r;g++)if(u=document.createElementNS(svgns,"line"),u.setAttribute("style",x),m=this.mettre_x_en_pixels(n+g*t),this.grille==="invisible"?this.axes!=="invisible"&&(u.setAttribute("x1",m),u.setAttribute("y1",String(a-5)),u.setAttribute("x2",m),u.setAttribute("y2",String(a+5)),this.g.appendChild(u)):(u.setAttribute("x1",m),u.setAttribute("y1",s),u.setAttribute("x2",m),u.setAttribute("y2",l),this.g.appendChild(u)),this.etiquettes!=="invisible"&&this.axes!=="invisible"){_=document.createElementNS(svgns,"text"),_.setAttribute("x",m+2),_.setAttribute("y",a+12);const w="text-anchor:left;font-size:12px;fill:"+this.couleur+";";_.setAttribute("style",w),_.appendChild(document.createTextNode(String(n+g*t))),this.g.appendChild(_)}};Repere.prototype.tracer_ordonnees=function(n,t,r,a,s,l){let u,_,m,g;const x="stroke:black;stroke-width:0.5;";for(this.grille==="invisible"&&this.axes!=="invisible"&&(u=document.createElementNS(svgns,"line"),u.setAttribute("style",x),u.setAttribute("x1",a),u.setAttribute("y1",this.cadre.haut),u.setAttribute("x2",a),u.setAttribute("y2",this.cadre.bas),this.g.appendChild(u)),g=0;g<=r;g++)if(u=document.createElementNS(svgns,"line"),u.setAttribute("style",x),m=this.mettre_y_en_pixels(n+g*t),this.grille==="invisible"?this.axes!=="invisible"&&(u.setAttribute("x1",String(a-5)),u.setAttribute("y1",m),u.setAttribute("x2",String(a+5)),u.setAttribute("y2",m),this.g.appendChild(u)):(u.setAttribute("x1",s),u.setAttribute("y1",m),u.setAttribute("x2",l),u.setAttribute("y2",m),this.g.appendChild(u)),this.etiquettes!=="invisible"&&this.axes!=="invisible"){_=document.createElementNS(svgns,"text"),_.setAttribute("x",a+2),_.setAttribute("y",m+12);const w="text-anchor:left;font-size:12px;fill:"+this.couleur+";";_.setAttribute("style",w),_.appendChild(document.createTextNode(String(n+g*t))),this.g.appendChild(_)}};Repere.prototype.creeg=function(){const n=this.cadre.droite-this.cadre.gauche,t=this.cadre.bas-this.cadre.haut;this.g=document.createElementNS(svgns,"g");const r=document.createElementNS(svgns,"defs"),a=document.createElementNS(svgns,"clipPath");a.setAttribute("id","clipRepere");const s="stroke:"+this.couleur+";stroke-width:1;fill:none;",l=document.createElementNS(svgns,"rect");if(l.setAttribute("style",s),l.setAttribute("x",this.cadre.gauche),l.setAttribute("y",this.cadre.haut),l.setAttribute("width",n),l.setAttribute("height",t),a.appendChild(l),r.appendChild(a),this.g.appendChild(r),this.g.setAttribute("style","clip-path:url(#clipRepere)"),this.xmax-this.xmin>this.xgrad){const _=Math.floor((this.xmax-this.xmin)/this.xgrad);let m;this.ymax*this.ymin<0?m=this.mettre_y_en_pixels(0):this.ymax<0?m=this.cadre.haut:m=this.cadre.bas;const g=determiner_graduations(this.xmin,this.xmax,this.xgrad);this.tracer_abscisses(g,this.xgrad,_,m,this.cadre.haut,this.cadre.bas)}if(this.ymax-this.ymin>this.ygrad){const _=Math.floor((this.ymax-this.ymin)/this.ygrad);let m;this.xmax*this.xmin<0?m=this.mettre_x_en_pixels(0):this.xmax<0?m=this.cadre.droite:m=this.cadre.gauche;const g=determiner_graduations(this.ymin,this.ymax,this.ygrad);this.tracer_ordonnees(g,this.ygrad,_,m,this.cadre.gauche,this.cadre.droite)}const u=document.createElementNS(svgns,"rect");u.setAttribute("style",s),u.setAttribute("x",this.cadre.gauche),u.setAttribute("y",this.cadre.haut),u.setAttribute("width",n),u.setAttribute("height",t),this.g.appendChild(u),this.g.setAttribute("visibility","hidden")};const outils=["compas","equerre","rapporteur","regle","requerre","crayon"],icons=["Reset","PrevStep","Pause","Play","Restart","NextStep","GotoEnd","XML","Repeat"],defaultWidth=800,defaultHeight=600,waitPromise=n=>new Promise(t=>{setTimeout(()=>t(),n)});function getIconPlay(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");const u=document.createElementNS(svgns,"polygon");return u.setAttribute("points","-5,8 8,0 -5,-8"),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),a}function getIconPause(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");let u=document.createElementNS(svgns,"rect");return u.setAttribute("x",-6),u.setAttribute("y",-7),u.setAttribute("width",3),u.setAttribute("height",14),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),u=document.createElementNS(svgns,"rect"),u.setAttribute("x",2),u.setAttribute("y",-7),u.setAttribute("width",3),u.setAttribute("height",14),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),a}function getIconNextStep(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");const u=document.createElementNS(svgns,"rect");u.setAttribute("x",5),u.setAttribute("y",-6),u.setAttribute("width",3),u.setAttribute("height",12),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u);const _=document.createElementNS(svgns,"polygon");return _.setAttribute("points","-7,6 2,0 -7,-6"),_.setAttribute("style","stroke:white;fill:white;"),_.setAttribute("transform","translate(16,16)"),a.appendChild(_),a}function getIconPrevStep(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");const u=document.createElementNS(svgns,"rect");u.setAttribute("x",-7),u.setAttribute("y",-6),u.setAttribute("width",3),u.setAttribute("height",12),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u);const _=document.createElementNS(svgns,"polygon");return _.setAttribute("points","7,6 -2,0 7,-6"),_.setAttribute("style","stroke:white;fill:white;"),_.setAttribute("transform","translate(16,16)"),a.appendChild(_),a}function getIconGotoEnd(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");let u=document.createElementNS(svgns,"polygon");return u.setAttribute("points","-6,7 1,0 -6,-7"),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),u=document.createElementNS(svgns,"polygon"),u.setAttribute("points","3,7 10,0 3,-7"),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),a}function getIconReset(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");let u=document.createElementNS(svgns,"polygon");return u.setAttribute("points","6,7 -1,0 6,-7"),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),u=document.createElementNS(svgns,"polygon"),u.setAttribute("points","-3,7 -10,0 -3,-7"),u.setAttribute("style","stroke:white;fill:white;"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),a}function getIconRestart(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");const u=document.createElementNS(svgns,"path");return u.setAttribute("d","M 0 -8 A 8 8 -90 1 1 -8 0"),u.setAttribute("style","stroke:white;stroke-width:3;fill:none;"),u.setAttribute("marker-end","url(#markerarrow"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),a}function getIconRepeat(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");const u=document.createElementNS(svgns,"path");return u.setAttribute("d","M 0 -8 A 8 8 -90 1 1 -1 -8"),u.setAttribute("style","stroke:white;stroke-width:3;fill:none;"),u.setAttribute("marker-end","url(#markerarrow"),u.setAttribute("transform","translate(16,16)"),a.appendChild(u),a}function getIconXml(n,t,r){const a=document.createElementNS(svgns,"svg");a.setAttribute("x",n),a.setAttribute("y",t),a.setAttribute("width",32),a.setAttribute("height",32);const s=document.createElementNS(svgns,"circle");a.appendChild(s),s.setAttribute("cx",16),s.setAttribute("cy",16),s.setAttribute("r",15);const l=r==="fonce"?"filtrebleu":"filtregris";s.setAttribute("style","stroke:none;fill:url(#radial"+r+"); filter:url(#"+l+");");const u=document.createElementNS(svgns,"text");return u.setAttribute("pointer-events","none"),u.appendChild(document.createTextNode("XML")),u.setAttribute("x",16),u.setAttribute("y",21),u.setAttribute("style","font-family:Arial;font-size:9pt;fill:white;text-anchor:middle"),a.appendChild(u),a}function getId(n){return n.getAttribute("id")}function getAbs(n){return n.getAttribute("abscisse")}function getOrd(n){const t=n.getAttribute("ordonnee");return t===null?n.getAttribute("ordonnée"):t}function getCouleur(n){const t=n.getAttribute("couleur");return t?getSvgColor(t):"black"}function getCouleurCadre(n){const t=n.getAttribute("couleur_cadre");return t?getSvgColor(t):null}function getCouleurFond(n){const t=n.getAttribute("couleur_fond");return t?getSvgColor(t):null}function getEpaisseur(n){const t=n.getAttribute("epaisseur");return t===null||parseInt(t)===0?"1":t}function getOpaciteTrait(n){const t=n.getAttribute("opacite");return t===null?"100":t}function getOpaciteFond(n){const t=n.getAttribute("opacite");return t===null?"50":t}function getStyleTrait(n){const t=n.getAttribute("pointille");return t??"continu"}function getStyle(n){const t=n.getAttribute("style");return t??"normal"}function IepDoc(n,t,r){this.svg=n,typeof r=="boolean"?(this.autoStart=r,r={}):(typeof r!="object"&&(r={}),this.autoStart=!!r.autoStart),this.debug=!!r.debug,this.windowxml=null;let a=t;a.search(/<?xml/gi)===-1&&(a='<?xml version="1.0" encoding="UTF-8"?>'+a),a=a.replace(/<action[_]\d*/gi,"<action"),a=a.replace(/<!--.*-->/g,""),a=a.replace(/(="[^"]*")([^ ])/g,"$1 $2").replace(/--/g,""),a=a.replace(/<</g,"<").replace(/>>/g,">"),a=a.replace(/<action(\w)/gi,"<action $1"),a=a.replace(/<commentaire\s*texte\s*=/gi,"<commentaire texteCommentaire ="),a=elimineDoublonsXML(a),this.codexml=a;const s=/<\s*INSTRUMENPOCHE[^>]*>(.*)<\s*\/INSTRUMENPOCHE/si.exec(a);if(!s)throw Error("script xml invalide");this.chdoc="<INSTRUMENPOCHE>"+s[1]+"</INSTRUMENPOCHE>",this.actions=[],this.elements=[],this.compasRetourne=!1,this.compasLeve=null,this.compas=new Compas(this),this.equerre=new Equerre(this),this.rapporteur=new Rapporteur(this),this.regle=new Regle(this),this.requerre=new Requerre(this),this.crayon=new Crayon(this),this.xmldoc=parseXMLDoc(this.chdoc),this.tabact=this.xmldoc.getElementsByTagName("action"),this.started=!1,this.animationEnCours=!0;const l={x:0,y:0,width:defaultWidth,height:defaultHeight},u=this.xmldoc.getElementsByTagName("viewBox");if(u&&u.length){u.length>1&&console.error(Error("Il y a plusieurs tags viewBox dans le script, on prend le premier"),u);const m=u[0];Object.keys(l).forEach(g=>{const f=Number(m.getAttribute(g));Number.isFinite(f)&&(g.length<2||f>0)&&(l[g]=f)})}if(window.innerHeight>l.height*.6&&l.width/l.height<window.innerWidth/window.innerHeight)try{n.parentNode.style.width=window.innerHeight/l.height*l.width+"px"}catch(m){console.error(m)}try{n.parentNode.style.minWidth=l.width/2+"px",n.parentNode.style.minHeight=l.height/2+"px"}catch(m){console.error(m)}this.initialViewBox=l,n.setAttribute("viewBox",`${l.x} ${l.y} ${l.width} ${l.height}`),n.setAttribute("preserveAspectRatio","xMinYMin meet"),this.indiceActionEnCours=0,this.creeActions();const _=this;n.addEventListener("mousemove",function(m){_.mousemoveListenerSvg(m,m.clientX,m.clientY)},!1),n.addEventListener("mouseup",function(){_.mouseupListener()},!1),n.addEventListener("mouseleave",function(){_.mouseleaveListener()},!1),n.addEventListener("touchmove",function(m){_.mousemoveListenerSvg(m,m.touches[0].pageX,m.touches[0].pageY)},!1),n.addEventListener("touchend",function(){_.mouseupListener()},!1),n.addEventListener("touchcancel",function(){_.mouseupListener()},!1),n.addEventListener("touchleave",function(){_.mouseleaveListener()},!1),this.debug&&console.log("iepDoc instancié :",this)}IepDoc.prototype.setViewBox=function n(t){if(typeof t!="object"||Object.keys(this.initialViewBox).some(_=>!Number.isFinite(t[_])))throw TypeError("paramètre invalide (il faut passer un objet { x: number, y: number, width: number, height: number })");const{x:r,y:a,width:s,height:l}=t;if(s<10||l<10)return console.error(Error("width et height doivent être supérieur à 10"));const u=this.initialViewBox.width/s;this.svg.setAttribute("viewBox",`${r} ${a} ${s} ${l}`),this.barreIcones.setAttribute("transform",`translate(${r+this.xbarre/u}, ${a+this.ybarre/u}) scale(${1/u})`)};IepDoc.prototype.zoom=function n(t,r,a){if(typeof t!="number"||t<1e-6||t>1e6)throw Error(`zoomFactor invalide : ${typeof t} ${t}`);if(t===1)return this.setViewBox(this.initialViewBox);let{x:s,y:l,width:u,height:_}=this.getViewBox();Number.isFinite(r)||(r=s+u/2),Number.isFinite(a)||(a=l+_/2),u=Math.round(u/t),_=Math.round(_/t),s=r-u/2,l=a-_/2,this.setViewBox({x:s,y:l,width:u,height:_})};IepDoc.prototype.isReadyAll=function n(){if(this.debug){const t=this.actions.filter(r=>!r.isReady);t.length?console.log(`${t.length} actions pas encore prêtes (sur ${this.actions.length})`):console.log(`Les ${this.actions.length} actions sont prêtes`)}return this.actions.every(t=>t.isReady)};IepDoc.prototype.whenReady=function n(t,r=30){const a=()=>setTimeout(s,100),s=()=>{if(this.isReadyAll())return t();if(Date.now()-l<r*1e3)return a();t(Error(`Après ${r}s d’attente l’animation n’est pas prête, échec du chargement…`))},l=Date.now();s()};IepDoc.prototype.getReadyPromise=function n(t=30){return this.isReadyAll()?Promise.resolve():new Promise((r,a)=>{this.whenReady(s=>{s?a(s):r(this)},t)})};IepDoc.prototype.getWidth=function n(){return this.getViewBox().width};IepDoc.prototype.getHeight=function n(){return this.getViewBox().height};IepDoc.prototype.getViewBox=function n(){try{const t=this.svg.getAttribute("viewBox");if(t){const r=t.split(" ").map(Number).filter(a=>!Number.isNaN(a));if(r.length===4){const[a,s,l,u]=r;if(l>0&&u>0)return{x:a,y:s,width:l,height:u}}}console.error(Error("viewBox invalide"),t)}catch(t){console.error(t)}return this.svg.setAttribute("viewBox",`0 0 ${defaultWidth} ${defaultHeight}`),{x:0,y:0,width:defaultWidth,height:defaultHeight}};IepDoc.prototype.goFast=function n(t=100,r){const a=this,s=()=>{a.nextStep(),a.indiceActionEnCours<a.actions.length?setTimeout(()=>s(),t):r&&r()};this.getReadyPromise().then(()=>a.animationEnCours?(a.pause(),waitPromise(500)):Promise.resolve()).then(()=>{a.reset(),s()}).catch(l=>{console.error(l),alert(l.message)})};IepDoc.prototype.creeElementsGraphiques=function n(){this.actions.forEach(t=>t.creegElement())};IepDoc.prototype.initialiseOutils=function n(){outils.forEach(t=>{this[t].initialisePosition(),this[t].montre(!1)}),this.compas.leve=!1};IepDoc.prototype.recreeOutils=function n(){outils.forEach(t=>{this[t].updateg(),this[t].montre(!1)}),this.compasLeve=null};IepDoc.prototype.init=function n(){this.started=!0,this.creeElementsGraphiques(),this.recreeOutils(),this.creeIcones(),this.autoStart?(this.montreIcones(["Pause"]),this.play()):this.montreIcones(["Play"])};IepDoc.prototype.creeIcones=function n(){const r=this;this.barreIcones=document.createElementNS(svgns,"g"),this.creeElementsPourIcones(),this.iconReset=getIconReset(0,0,"fonce"),this.iconResetGris=getIconReset(0,0,"clair"),this.iconReset.onclick=this.reset.bind(this),this.barreIcones.appendChild(this.iconReset),this.barreIcones.appendChild(this.iconResetGris),this.iconPrevStep=getIconPrevStep(32,0,"fonce"),this.iconPrevStepGris=getIconPrevStep(32,0,"clair"),this.iconPrevStep.onclick=function(){r.prevStep()},this.barreIcones.appendChild(this.iconPrevStep),this.barreIcones.appendChild(this.iconPrevStepGris),this.iconPause=getIconPause(64,0,"fonce"),this.iconPauseGris=getIconPause(64,0,"clair"),this.iconPause.onclick=this.pause.bind(this),this.barreIcones.appendChild(this.iconPause),this.barreIcones.appendChild(this.iconPauseGris),this.iconPlay=getIconPlay(96,0,"fonce"),this.iconPlayGris=getIconPlay(96,0,"clair"),this.iconPlay.onclick=this.play.bind(this),this.barreIcones.appendChild(this.iconPlay),this.iconContinue=getIconPlay(96,0,"rouge"),this.iconContinue.setAttribute("visibility","hidden"),this.iconContinue.onclick=this.continue.bind(this),this.barreIcones.appendChild(this.iconContinue),this.barreIcones.appendChild(this.iconPlayGris),this.iconRestart=getIconRestart(128,0,"fonce"),this.iconRestartGris=getIconRestart(128,0,"clair"),this.iconRestart.onclick=this.restart.bind(this),this.barreIcones.appendChild(this.iconRestart),this.barreIcones.appendChild(this.iconRestartGris),this.iconNextStep=getIconNextStep(160,0,"fonce"),this.iconNextStepGris=getIconNextStep(160,0,"clair"),this.iconNextStep.onclick=function(){r.nextStep()},this.barreIcones.appendChild(this.iconNextStep),this.barreIcones.appendChild(this.iconNextStepGris),this.iconGotoEnd=getIconGotoEnd(192,0,"fonce"),this.iconGotoEndGris=getIconGotoEnd(192,0,"clair"),this.iconGotoEnd.onclick=function(){r.gotoEnd()},this.barreIcones.appendChild(this.iconGotoEnd),this.barreIcones.appendChild(this.iconGotoEndGris),this.iconXML=getIconXml(224,0,"fonce"),this.iconXMLGris=getIconXml(224,0,"clair"),this.iconXML.onclick=function(){r.showXml()},this.barreIcones.appendChild(this.iconXML),this.barreIcones.appendChild(this.iconXMLGris),this.iconRepeat=getIconRepeat(256,0,"fonce"),this.iconRepeatGris=getIconRepeat(256,0,"clair"),this.iconRepeat.onclick=this.repeat.bind(this),this.barreIcones.appendChild(this.iconRepeat),this.barreIcones.appendChild(this.iconRepeatGris),this.hauteurBarre=32,this.demiLargeurBarre=8*16,this.xbarre=50,this.ybarre=4,this.barreIcones.setAttribute("transform",`translate(${this.xbarre}, ${this.ybarre})`),this.svg.appendChild(this.barreIcones),this.isDraggingBarre=!1,this.barreIcones.addEventListener("mousedown",function(a){r.mousedownListenerBarre(a.clientX,a.clientY)},!1),this.barreIcones.addEventListener("mousemove",function(a){r.mousemoveListenerBarre(a.clientX,a.clientY)},!1),this.barreIcones.addEventListener("touchstart",function(a){r.mousedownListenerBarre(a.touches[0].pageX,a.touches[0].pageY)},!1),this.barreIcones.addEventListener("touchmove",this.mousemoveListenerBarre.bind(this),!1),this.deltax=0,this.deltay=0};IepDoc.prototype.mousedownListenerBarre=function n(t,r){this.animationEnCours||(this.isDraggingBarre=!0,this.xcapturebarre=t,this.ycapturebarre=r)};IepDoc.prototype.mousemoveListenerBarre=function n(){this.animationEnCours?(this.barreIcones.style.cursor="default",this.isDraggingBarre=!1):this.barreIcones.style.cursor="pointer"};IepDoc.prototype.mousemoveListenerSvg=function n(t,r,a){if(this.isDraggingBarre){const s=this.getWidth(),l=this.getHeight(),u=r-this.xcapturebarre,_=a-this.ycapturebarre,m=this.deltax+u,g=this.deltay+_,f=this.xbarre+m,x=this.ybarre+g;f<=s-2*this.demiLargeurBarre&&f>=0&&x>=0&&x<=l-this.hauteurBarre&&(this.barreIcones.setAttribute("transform","translate("+f+","+x+")"),this.deltax=m,this.deltay=g,this.xcapturebarre=r,this.ycapturebarre=a),t.preventDefault()}};IepDoc.prototype.mouseupListener=function n(){this.isDraggingBarre=!1};IepDoc.prototype.mouseleaveListener=function n(){this.isDraggingBarre=!1};IepDoc.prototype.showXml=function n(){this.windowxml==null?this.windowxml=this.popup():this.windowxml.focus()};IepDoc.prototype.montreIcones=function n(t){icons.forEach(r=>{const a=t.includes(r),s="icon"+r;this[s]?(this[s].setAttribute("visibility",a?"visible":"hidden"),this[s+"Gris"].setAttribute("visibility",a?"hidden":"visible")):console.error(`L’icone ${s} n’existe pas`)})};IepDoc.prototype.activeIconeContinuer=function n(){this.montreIcones(["XML"]),this.iconPlayGris.setAttribute("visibility","hidden"),this.iconContinue.setAttribute("visibility","visible")};IepDoc.prototype.gotoEnd=function n(){this.animationEnCours=!1,this.initialise(),this.montreIcones(["Reset","PrevStep","Restart","XML","Repeat"]),this.executeJusque(this.actions.length-1),this.indiceActionEnCours=this.actions.length};IepDoc.prototype.play=function n(){this.animationEnCours=!0,this.montreIcones(["Pause"]),this.actions[this.indiceActionEnCours]?this.actions[this.indiceActionEnCours].execute(!1):console.error(Error(`Pas d'action ${this.indiceActionEnCours}`),this.actions)};IepDoc.prototype.continue=function n(){if(this.indiceActionEnCours===this.actions.length){this.gotoEnd();return}this.iconContinue.setAttribute("visibility","hidden"),this.montreIcones(["Pause"]),this.animationEnCours=!0,this.indiceActionEnCours++,this.actions[this.indiceActionEnCours]?this.actions[this.indiceActionEnCours].execute(!1):console.error(Error(`Pas d'action ${this.indiceActionEnCours}`),this.actions)};IepDoc.prototype.reset=function n(){this.animationEnCours=!1,this.initialise(),this.montreIcones(["Play","NextStep","GotoEnd","XML","Repeat"]),this.indiceActionEnCours=0,this.zoom(1)};IepDoc.prototype.restart=function n(){if(this.animationEnCours){this.animationEnCours=!1,setTimeout(this.restart.bind(this),100);return}this.initialise(),this.indiceActionEnCours=0,this.zoom(1),this.play()};IepDoc.prototype.repeat=function n(){if(this.animationEnCours){this.animationEnCours=!1,setTimeout(this.repeat.bind(this),100);return}this.animationEnCours=!0,this.animationEnBoucle=!0,this.initialise(),this.montreIcones(["Pause"]),this.indiceActionEnCours=0,this.zoom(1),this.actions[0].execute(!1)};IepDoc.prototype.pause=function n(){this.animationEnBoucle=!1,this.animationEnCours=!1,setTimeout(()=>this.montreIcones(["Reset","PrevStep","Play","Restart","NextStep","GotoEnd","XML","Repeat"]),500)};IepDoc.prototype.nextStep=function n(){const t=this.actions.length;this.animationEnCours=!1,this.indiceActionEnCours<t&&(this.actions[this.indiceActionEnCours].actionVisible()?this.indiceActionEnCours++:this.indiceActionEnCours=this.indiceProchaineActionVisible(this.indiceActionEnCours)+1,this.executeJusque(this.indiceActionEnCours-1));const r=this.indiceActionEnCours===this.actions.length,a=["Reset","PrevStep","Restart","XML","Repeat"];r?this.montreIcones(a):this.montreIcones(a.concat(["NextStep","GotoEnd","Play"]))};IepDoc.prototype.prevStep=function n(){this.animationEnCours=!1,this.indiceActionEnCours=this.indicePrecedenteActionVisible(this.indiceActionEnCours-1),this.indiceActionEnCours>0&&this.executeJusque(this.indiceActionEnCours-1);const t=["Play","NextStep","GotoEnd","XML","Repeat"];this.indiceActionEnCours===0?this.montreIcones(t):this.montreIcones(t.concat(["Reset","PrevStep"]))};IepDoc.prototype.initialise=function n(){let t,r;const a=this.svg;for(t=0;t<a.childNodes.length;t++)if(r=a.childNodes[t],r!==this.barreIcones)try{a.childNodes[t].setAttribute("visibility","hidden")}catch(s){console.error(s)}for(t=0;t<this.actions.length;t++){const s=this.actions[t];s instanceof ActionCreation&&s.objet.initialisePosition()}this.initialiseOutils()};IepDoc.prototype.getInstrumentVisibility=function n(t,r){if(r===-1)return!1;let a,s=!1;for(let l=0;l<=r;l++)a=this.actions[l],a instanceof ActionMontrerInstrument?a.instrument===t&&(s=!0):a instanceof ActionMasquerInstrument&&a.instrument===t&&(s=!1);return s};IepDoc.prototype.getObjectVisibility=function n(t,r){if(r===-1)return!1;let a,s=!1;for(let l=0;l<=r;l++)a=this.actions[l],a instanceof ActionMontrer?a.objet===t&&(s=!0):a instanceof ActionMasquer&&a.objet===t&&(s=!1);return s};IepDoc.prototype.getCompasStatus=function n(t){if(t===-1)return"couche";let r=!0,a;for(let s=0;s<=t;s++)a=this.actions[s],a instanceof ActionCoucherCompas?r=!0:a instanceof ActionLeverCompas&&(r=!1);return r?"couche":"leve"};IepDoc.prototype.indiceProchaineActionVisible=function n(t){if(t>=this.actions.length)return this.actions.length-1;for(let r=t;r<this.actions.length;r++)if(this.actions[r].actionVisible())return r;return this.actions.length-1};IepDoc.prototype.indicePrecedenteActionVisible=function n(t){if(t<0)return 0;t===this.actions.length&&t--;for(let r=t;r>=0;r--)if(this.actions[r].actionVisible())return r;return 0};IepDoc.prototype.montreInstrumentsEtape=function n(t){let r=this.getInstrumentVisibility(this.compas,t);this.compas.leve?this.compasLeve.montre(r):this.compas.montre(r),r=this.getInstrumentVisibility(this.crayon,t),this.crayon.montre(r),r=this.getInstrumentVisibility(this.equerre,t),this.equerre.montre(r),r=this.getInstrumentVisibility(this.rapporteur,t),this.rapporteur.montre(r),r=this.getInstrumentVisibility(this.regle,t),this.regle.montre(r),r=this.getInstrumentVisibility(this.requerre,t),this.requerre.montre(r)};IepDoc.prototype.executeJusque=function n(t){if(!(t>=this.actions.length)){this.initialise(),this.initialiseOutils(),this.animationEnCours=!1;for(let r=0;r<=t;r++)this.actions[r].execute(!0);this.montreInstrumentsEtape(t)}};IepDoc.prototype.addElement=function n(t){const r=this.elements.findIndex(a=>a.id===t.id&&a.objet===t.objet);r!==-1?this.elements[r]=t:this.elements.push(t)};IepDoc.prototype.pushElement=function n(t){if(this.elements.some(r=>r.id===t.id&&r.objet===t.objet))throw Error(`Il y a déjà un élément ${t.id} désignant le même objet`);this.elements.push(t)};IepDoc.prototype.getElement=function n(t,r){return this.elements.find(s=>s.objet===r?r==="quadrillage"?!0:s.id===t:!1)||null};IepDoc.prototype.setElement=function n(t,r){const a=this.elements.findIndex(s=>s.id===t);return a!==-1?(this.elements[a]=r,!0):!1};IepDoc.prototype.ajouteAction=function n(t){t.indice=this.actions.length,this.actions.push(t)};IepDoc.prototype.creeActions=function n(){let t,r,a,s,l,u,_,m,g,f,x,w,Z,Ce,ne,$e,Ie,Dt,Lr,ec,ys,tc,nc;for(t=0;t<this.tabact.length;t++){r=this.tabact[t],f=getId(r),a=r.getAttribute("mouvement"),Ie=r.getAttribute("tempo");try{let ac,sc;switch(a){case"creer":if(s=r.getAttribute("objet"),this.getElement(f,s)!==null){console.error(`L'id ${f} existe déjà, action creer ignorée`,s);break}if(s!=null){switch(s){case"point":l=new Point(this,f,parseFloat(getAbs(r)),parseFloat(getOrd(r)),getCouleur(r),getEpaisseur(r)),u=new ActionCreation(this,f,l,Ie);break;case"angle":l=new Angle(this,f,getAbs(r),getOrd(r),r.getAttribute("rayon"),r.getAttribute("angle1"),r.getAttribute("angle2"),getCouleur(r),getEpaisseur(r),getOpaciteFond(r),r.getAttribute("forme")),u=new ActionCreation(this,f,l,Ie);break;case"angle_droit":l=new AngleDroit(this,f,r.getAttribute("abscisse_sommet"),r.getAttribute("ordonnee_sommet"),r.getAttribute("abscisse_inter"),r.getAttribute("ordonnee_inter"),getCouleur(r),getEpaisseur(r)),u=new ActionCreation(this,f,l,Ie);break;case"longueur":l=new MarqueSegment(this,f,getAbs(r),getOrd(r),getCouleur(r),getEpaisseur(r),r.getAttribute("forme")),u=new ActionCreation(this,f,l,Ie);break;case"marque":l=new MarqueSeg(this,f,r.getAttribute("idSeg"),getCouleur(r),getEpaisseur(r),r.getAttribute("forme"),r.getAttribute("rayon")),u=new ActionCreation(this,f,l,Ie);break;case"texte":l=new Texte(this,f,getAbs(r),getOrd(r),getCouleur(r),r.getAttribute("taille")),u=new ActionCreation(this,f,l,Ie);break;case"repere":l=new Repere(this,r.getAttribute("hauteur"),r.getAttribute("largeur"),r.getAttribute("haut"),r.getAttribute("gauche"),r.getAttribute("Xgrad"),r.getAttribute("Ygrad"),r.getAttribute("Xmin"),r.getAttribute("Xmax"),r.getAttribute("Ymin"),r.getAttribute("Ymax"),getCouleur(r),r.getAttribute("grille"),r.getAttribute("axes"),r.getAttribute("etiquettes")),u=new ActionCreation(this,f,l,Ie);break;case"quadrillage":if(ac=r.getAttribute("abscisse_bas_droite"),ac!=null){ac=parseFloat(ac)/30;const cc=parseFloat(r.getAttribute("ordonnee_bas_droite"))/30,uc=parseFloat(r.getAttribute("abscisse_haut_gauche"))/30,lc=parseFloat(r.getAttribute("ordonnee_haut_gauche"))/30;l=new Quadrillage(this,r.getAttribute("quadrillage"),String(cc-lc),String(ac-uc),lc,uc,getCouleur(r)),u=new ActionCreation(this,"quadrillageIEP",l,Ie)}else l=new Quadrillage(this,r.getAttribute("quadrillage"),r.getAttribute("hauteur"),r.getAttribute("largeur"),r.getAttribute("haut"),r.getAttribute("gauche"),getCouleur(r));u=new ActionCreation(this,"quadrillageIEP",l,Ie);break;case"axe":l=new Axe(this,r.getAttribute("pente"),r.getAttribute("largeur"),r.getAttribute("haut"),r.getAttribute("gauche"),r.getAttribute("distanceBord"),r.getAttribute("Xgrad"),r.getAttribute("Xmin"),r.getAttribute("Xmax"),getCouleur(r)),u=new ActionCreation(this,f,l,Ie);break;case"gabarit":sc=r.getAttribute("ecart_angle"),sc===null&&(sc="-30"),l=new Gabarit(this,f,r.getAttribute("abscisse"),r.getAttribute("ordonnee"),r.getAttribute("rayon"),sc,getCouleur(r),getEpaisseur(r),getCouleurFond(r),getOpaciteTrait(r)),u=new ActionCreation(this,f,l,Ie);break;default:console.error(`objet ${l} inconnu => création ignorée`),u=null}u&&(this.ajouteAction(u),u.setReady())}break;case"montrer":s=r.getAttribute("objet"),estInstrument(s)?(Ce=r.getAttribute("abscisse"),ne=r.getAttribute("ordonnee"),u=new ActionMontrerInstrument(this,this[s],Ce,ne,Ie),(s==="crayon"||s==="compas")&&Ce!=null&&ne!=null&&this[s].translate(parseFloat(Ce),parseFloat(ne))):u=new ActionMontrer(this,f,s,Ie),this.ajouteAction(u),u.setReady();break;case"masquer":s=r.getAttribute("objet"),estInstrument(s)?u=new ActionMasquerInstrument(this,this[s],Ie):u=new ActionMasquer(this,f,s,Ie),this.ajouteAction(u),u.setReady();break;case"tracer":switch(s=r.getAttribute("objet"),nc=r.getAttribute("cible"),nc!=null?(l=this.getElement(nc,"point"),Ce=l.xcons,ne=l.ycons):(Ce=parseFloat(getAbs(r)),ne=parseFloat(getOrd(r))),s){case"crayon":switch(_=r.getAttribute("forme"),m=this.crayon.x,g=this.crayon.y,f=getId(r),_){case null:isNaN(Ce)||isNaN(ne)?(l=new LigneContinue(this,f,this.crayon.x,this.crayon.y,r.getAttribute("abscisses"),r.getAttribute("ordonnees"),getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r),getStyle(r)),Dt=l.abs.length,this.crayon.translate(l.abs[Dt-1],l.ord[Dt-1])):(l=new Segment(this,f,m,g,Ce,ne,getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r),getStyle(r)),this.crayon.translate(Ce,ne));break;case"droite":if(isNaN(Ce)||isNaN(ne))break;l=new Droite(this,f,m,g,Ce,ne,getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r),getStyle(r)),this.crayon.translate(Ce,ne);break;case"demidroite":if(isNaN(Ce)||isNaN(ne))break;l=new DemiDroite(this,f,m,g,Ce,ne,getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r),getStyle(r)),this.crayon.translate(Ce,ne);break;case"polygone":if($e=r.getAttribute("cibles"),$e===null)l=new Polygone(this,f,r.getAttribute("abscisses"),r.getAttribute("ordonnees"),getCouleur(r),getEpaisseur(r),getCouleurFond(r),r.getAttribute("opacite"));else{let cc="",uc="";$e.split(",").forEach((lc,e0)=>{const dc=e0===0?"":",",kc=this.getElement(lc,"point");cc+=dc+kc.xcons,uc+=dc+kc.ycons}),l=new Polygone(this,f,cc,uc,getCouleur(r),getEpaisseur(r),getCouleurFond(r),r.getAttribute("opacite"))}Dt=l.abs.length,this.crayon.translate(l.abs[Dt-1],l.ord[Dt-1]);break;case"libre":l=new LigneContinue(this,f,this.crayon.x,this.crayon.y,r.getAttribute("abscisses"),r.getAttribute("ordonnees"),getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r),getStyle(r)),Dt=l.abs.length,this.crayon.translate(l.abs[Dt-1],l.ord[Dt-1])}Z=r.getAttribute("vitesse"),Z==null&&(Z="4"),u=new ActionCreation(this,getId(r),l,Ie,Z),this.ajouteAction(u),u.setReady();break;case"trait":Z=r.getAttribute("vitesse"),Z===null&&(Z=1e4),l=new Segment(this,f,r.getAttribute("abscisse1"),r.getAttribute("ordonnee1"),r.getAttribute("abscisse2"),r.getAttribute("ordonnee2"),getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r),getStyle(r)),u=new ActionCreation(this,getId(r),l,Ie,Z),this.ajouteAction(u),u.setReady();break;case"compas":l=new Arc(this,f,this.compas.x,this.compas.y,this.compas.ecart,this.getAngle(r,"debut"),this.getAngle(r,"fin"),getCouleur(r),getEpaisseur(r),getOpaciteTrait(r),getStyleTrait(r)),Z=r.getAttribute("sens"),Z==null&&(Z="8"),u=new ActionCreation(this,getId(r),l,Ie,Z),this.ajouteAction(u),u.setReady();break;case"angle_droit":l=new AngleDroit(this,f,r.getAttribute("abscisse_sommet"),r.getAttribute("ordonnee_sommet"),r.getAttribute("abscisse_inter"),r.getAttribute("ordonnee_inter"),getCouleur(r),getEpaisseur(r)),u=new ActionCreation(this,getId(r),l,Ie,Z),this.ajouteAction(u),u.setReady();break}break;case"rotation":s=r.getAttribute("objet"),w=r.getAttribute("sens"),estInstrument(s)?(nc=r.getAttribute("cible"),nc!=null&&r.getAttribute("angle")===null?(l=this.getElement(nc,"point"),Ce=l.xcons,ne=l.ycons,ec=new Vect(this[s].x,this[s].y,Ce,ne),ec.presqueNul()?x=0:x=-ec.angle()):s==="compas"?x=this.getAngle(r,"angle"):x=r.getAttribute("angle"),u=new ActionRotationInstrument(this,this[s],x,Ie,w)):this.getElement(f,s)===null?u=null:(x=r.getAttribute("angle"),u=new ActionRotationObjet(this,f,x,s,Ie,w)),u!==null&&(this.ajouteAction(u),u.setReady());break;case"translation":s=r.getAttribute("objet"),nc=r.getAttribute("cible"),nc!=null?(l=this.getElement(nc,"point"),Ce=l.xcons,ne=l.ycons):(Ce=parseFloat(getAbs(r)),ne=parseFloat(getOrd(r))),Z=r.getAttribute("vitesse"),estInstrument(s)?(this[s].x=Ce,this[s].y=ne,u=new ActionTranslationInstrument(this,this[s],Ce,ne,Ie,Z)):this.getElement(f,s)===null?u=null:(s==="point"&&(tc=this.getElement(f,"point"),tc.xcons=Ce,tc.ycons=ne),u=new ActionTranslationObjet(this,f,Ce,ne,s,Ie,Z)),u!==null&&(this.ajouteAction(u),(s==="crayon"||s==="compas")&&this[s].translate(Ce,ne),u.setReady());break;case"zoom":s=r.getAttribute("objet"),Z=r.getAttribute("vitesse"),estInstrument(s)?(ys=r.getAttribute("echelle"),this[s].zoomfactor=parseFloat(ys)/100,u=new ActionZoomInstrument(this,this[s],ys,Ie,Z)):s==="texte"||s==="image"?u=new ActionZoomObjet(this,f,r.getAttribute("echelle"),s,Ie,Z):u=null,u!==null&&(this.ajouteAction(u),u.setReady());break;case"ecarter":nc=r.getAttribute("cible"),nc!=null?(l=this.getElement(nc,"point"),ec=new Vect(this.compas.x,this.compas.y,l.xcons,l.ycons),Lr=ec.norme()):Lr=parseFloat(r.getAttribute("ecart"))*this.compas.zoomfactor,this.compas.ecart=Lr,u=new ActionEcarterCompas(this,Lr,Ie,r.getAttribute("vitesse")),this.ajouteAction(u),u.setReady();break;case"lever":u=new ActionLeverCompas(this,Ie),this.ajouteAction(u),u.setReady();break;case"coucher":u=new ActionCoucherCompas(this,Ie),this.ajouteAction(u),u.setReady();break;case"masquer_nombres":u=new ActionMontrerNombres(this,!1,Ie),this.ajouteAction(u),u.setReady();break;case"montrer_nombres":u=new ActionMontrerNombres(this,!0,Ie),this.ajouteAction(u),u.setReady();break;case"graduations":s=r.getAttribute("objet"),u=new ActionMontrerGraduations(this,this[s],!0,Ie),this.ajouteAction(u),u.setReady();break;case"vide":s=r.getAttribute("objet"),u=new ActionMontrerGraduations(this,this[s],!1,Ie),this.ajouteAction(u),u.setReady();break;case"retourner":this.compasRetourne=!this.compasRetourne,u=new ActionRetourner(this,Ie),this.ajouteAction(u),u.setReady();break;case"glisser":u=new ActionGlisser(this,r.getAttribute("abscisse"),Ie,r.getAttribute("vitesse")),this.ajouteAction(u),u.setReady();break;case"chargement":l=new Imag(this,f,r.getAttribute("url")),l.prepareAction();break;case"ecrire":u=new ActionEcrireTexte(this,f,getCouleur(r),r.getAttribute("taille"),r.getAttribute("texte"),r.getAttribute("style"),getCouleurFond(r),r.getAttribute("opacite_fond"),getCouleurCadre(r),r.getAttribute("epaisseur_cadre"),r.getAttribute("marge"),r.getAttribute("marge_gauche"),r.getAttribute("marge_droite"),r.getAttribute("marge_haut"),r.getAttribute("marge_bas"),Ie),this.ajouteAction(u),u.prepare();break;case"nommer":if(this.getElement(f,"point")!==null){const cc=r.getAttribute("nom");cc!==""&&(l=new NomPoint(this,f,getAbs(r),getOrd(r),cc,getCouleur(r)),u=new ActionNommerPoint(this,l,Ie),this.ajouteAction(u),u.prepare())}break;case"pause":u=new ActionPause(this,Ie),this.ajouteAction(u),u.setReady();break;case"modifier_longueur":s=r.getAttribute("objet"),u=new ActionModifierLongueur(this,this[s],r.getAttribute("longueur"),Ie),this.ajouteAction(u),u.setReady();break;case"modifier_rayon":s=r.getAttribute("objet"),u=new ActionModificationRayon(this,f,r.getAttribute("rayon"),s,Ie),this.ajouteAction(u),u.setReady();break}}catch(ac){console.error(ac)}}this.getReadyPromise().then(this.init.bind(this)).catch(ac=>{console.error(ac),window.alert(ac.message)})};IepDoc.prototype.execute=function n(t){this.indiceActionEnCours=0,this.actions[0].execute(t)};IepDoc.prototype.actionSuivante=function n(t){if(t=!!t,!this.animationEnCours&&!t)return;const r=this.actions[this.indiceActionEnCours];r.tempo===null||t?this.passageActionSuivante(t):setTimeout(this.passageActionSuivante.bind(this,t),r.tempo)};IepDoc.prototype.passageActionSuivante=function n(t){if(!(this.indiceActionEnCours>=this.actions.length))if(this.indiceActionEnCours!==this.actions.length-1)this.indiceActionEnCours++,this.actions[this.indiceActionEnCours].execute(t);else if(this.animationEnBoucle){const r=this;setTimeout(function(){r.initialise(),r.indiceActionEnCours=0,r.actions[r.indiceActionEnCours].execute(t)},3e3)}else this.indiceActionEnCours++,this.montreIcones(["Reset","PrevStep","Restart","XML","Repeat"]),this.animationEnCours=!1};IepDoc.prototype.getAngle=function n(t,r){const a=t.getAttribute(r);return a==null?null:this.compasRetourne?String(parseFloat(a)+180):a};IepDoc.prototype.creeElementsPourIcones=function n(){let t=document.createElementNS(svgns,"defs");t.appendChild(this.radialGradiant("#9999FF","#000099","radialfonce")),this.svg.appendChild(t),t=document.createElementNS(svgns,"defs"),t.appendChild(this.radialGradiant("#CCCCCC","#666666","radialclair")),this.svg.appendChild(t),t=document.createElementNS(svgns,"defs"),t.appendChild(this.radialGradiant("#FF9999","#FF0000","radialrouge")),this.svg.appendChild(t),t=document.createElementNS(svgns,"defs"),t.appendChild(this.markerArrow("markerarrow")),this.barreIcones.appendChild(t),t=document.createElementNS(svgns,"defs"),t.appendChild(this.filtreEclairageIcone("filtrebleu")),this.barreIcones.appendChild(t),t=document.createElementNS(svgns,"defs"),t.appendChild(this.filtreEclairageIcone("filtregris")),this.barreIcones.appendChild(t)};IepDoc.prototype.radialGradiant=function n(t,r,a){const s=document.createElementNS(svgns,"radialGradient");s.setAttribute("id",a);let l=document.createElementNS(svgns,"stop");return l.setAttribute("offset","0%"),l.setAttribute("style","stop-color:"+r+";"),s.appendChild(l),l=document.createElementNS(svgns,"stop"),l.setAttribute("offset","80%"),l.setAttribute("style","stop-color:"+t+";"),s.appendChild(l),l=document.createElementNS(svgns,"stop"),l.setAttribute("offset","100%"),l.setAttribute("style","stop-color:"+r+";"),s.appendChild(l),s};IepDoc.prototype.markerArrow=function n(t){const r=document.createElementNS(svgns,"marker");r.setAttribute("id",t),r.setAttribute("markerWidth","4"),r.setAttribute("markerHeight","4"),r.setAttribute("refX","0"),r.setAttribute("refY","2"),r.setAttribute("orient","auto");const a=document.createElementNS(svgns,"path");return a.setAttribute("d","M 0 0 2 2 0 4 Z"),a.setAttribute("style","fill:white;"),r.appendChild(a),r};IepDoc.prototype.filtreEclairageIcone=function n(t){const 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t=this.docs.length;return t?this.docs[t-1]:null};let iepApp;function iepLoadPromise(n,t,r){return typeof r!="object"&&(r={}),Promise.resolve().then(()=>{if(typeof window>"u"||!window.document)throw Error("iepLoad doit être utilisé dans un navigateur");if(typeof n=="string"&&(n=document.getElementById(n)),!(n instanceof HTMLElement))throw Error("Conteneur html manquant");if(typeof t!="string")throw Error("Script xml manquant");return/^http/.test(t)?loadXml(t):t}).then(a=>{if(!a||!/<INSTRUMENPOCHE/.test(a))throw Error("Ce n’est pas un script instrumenpoche valide");window.location.protocol==="https:"&&(a=a.replace(/http:\/\/([a-z]+.sesamath.net)/g,(_,m)=>`https://${m}`)),dom.empty(n),dom.setStyles(n,{position:"relative",overflow:"auto"});const s=addSvg(n),l={};r.debug&&(l.debug=!0),iepApp||(iepApp=new IepApp(l));const u=typeof r.autostart=="boolean"?r.autostart:!0;return iepApp.addDoc(s,a,u),r.zoom&&addZoom(s),iepApp})}function addSvg(n){const t=document.createElementNS("http://www.w3.org/2000/svg","svg");return t.classList.add("svgIep"),n.appendChild(t),dom.setStyles(t,{margin:0,padding:0,width:"98%",height:"98%"}),t}function addZoom(n){const t=n.parentNode;t.style.resize="both",t.style.padding="0",t.style.border="1px solid black";const r={position:"absolute",zIndex:99,textAlign:"center",padding:0,width:"2.5em",height:"1.8em",left:"0.1em"};dom.addElement(t,"button",{style:{...r,top:"0.1em"}},"+").addEventListener("click",()=>n.iepDoc.zoom(1.1),!1),dom.addElement(t,"button",{style:{...r,top:"2em"}},"-").addEventListener("click",()=>n.iepDoc.zoom(.9),!1)}function loadXml(n){return window.location.protocol==="https:"&&n.substr(0,5)==="http:"?Promise.reject(Error(`Impossible de charger ici un script externe qui n’est pas en https (${n})`)):fetch(n,{Accept:"text/xml"}).catch(t=>{throw console.error(t),Error(`Impossible de récupérer le xml ${n}`)}).then(t=>{const{status:r,statusText:a,ok:s}=t;if(r>399)throw Error(`Impossible de récupérer le xml ${n} (erreur ${r} ${a})`);if(!s)throw Error(`Impossible de récupérer le xml ${n}`);return t.text()}).then(t=>{if(!t||!/<INSTRUMENPOCHE/.test(t))throw Error(`L’url ${n} ne retourne pas de script instrumenpoche en xml`);return t})}const mediatriceAuCompas=function(n,t,r={}){r.longueur1===void 0&&(r.longueur1=3),r.longueur2===void 0&&(r.longueur2=-3),r.codage===void 0&&(r.codage="X"),r.couleurCodage===void 0&&(r.couleurCodage=this.couleurCodage),r.couleurCompas===void 0&&(r.couleurCompas=this.couleurCompas),r.coderFigure===void 0&&(r.coderFigure=!0);const a=milieu(n,t),s=rotation(n,a,-90),l=pointSurSegment(a,s,r.longueur1),u=pointSurSegment(a,s,r.longueur2);this.compasMontrer(),this.compasDeplacer(n,r);let _,m,g,f;if(r.longueur1===-1*r.longueur2?(this.compasEcarter(longueur(n,l),{vitesse:r.vitesse,sens:r.vitesse}),_=this.compasTracerArcCentrePoint(n,l,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo}),m=this.compasTracerArcCentrePoint(n,u,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo}),f=this.compasTracerArcCentrePoint(t,u,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo}),g=this.compasTracerArcCentrePoint(t,l,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo})):(this.compasEcarter(longueur(n,l),r),_=this.compasTracerArcCentrePoint(n,l,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo}),m=this.compasTracerArcCentrePoint(t,l,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo}),g=this.compasTracerArcCentrePoint(t,u,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo}),f=this.compasTracerArcCentrePoint(n,u,{delta:r.delta,couleur:r.couleurCompas,sens:r.sens,vitesse:r.vitesse,tempo:r.tempo})),this.compasMasquer(),l.x<=u.x?this.regleDroite(l,u,r):this.regleDroite(u,l,r),this.regleMasquer(),r.coderFigure){const x=this.segmentCodage(n,a,{codage:r.codage,couleur:r.couleurCodage,tempo:r.tempo}),w=this.segmentCodage(a,t,{codage:r.codage,couleur:r.couleurCodage,tempo:r.tempo}),Z=this.codageAngleDroit(n,a,s,{couleur:r.couleurCodage,tempo:r.tempo,vitesse:r.vitesse});return[_,m,g,f,x,w,Z]}else return[_,m,g,f]},mediatriceRegleEquerre=function(n,t,r="X"){const a=milieu(n,t);this.regleMontrer(),this.regleDeplacer(n),this.regleRotation(t),this.crayonMontrer();const s=rotation(n,a,-90),l=rotation(n,a,90),u=pointSurSegment(a,s,.2),_=pointSurSegment(a,l,.2);this.y(u)>this.y(_)?this.trait(a,u):this.trait(a,_),this.regleMasquer(),this.x(n)<this.x(t)?(this.equerreDeplacer(n),this.equerreMontrer(),this.equerreRotation(t)):(this.equerreDeplacer(t),this.equerreMontrer(),this.equerreRotation(n)),this.equerreDeplacer(a),this.crayonDeplacer(a),this.trait(a,s),this.equerreMasquer(),this.regleDroite(s,l),this.regleMasquer(),this.segmentCodage(n,a,r),this.segmentCodage(a,t,r),this.codageAngleDroit(n,a,s)},hauteur=function(n,t,r,a=!0){const s=droite(n,t);s.isVisible=!1;const l=projectionOrtho(r,s);let u,_;this.x(n)<this.x(t)?(u=n,_=t):(u=t,_=n),this.x(l)<this.x(u)&&this.regleProlongerSegment(_,u,longueur(u,l)+2,this.couleur,this.tempo,this.vitesse,this.epaisseurTraitsDeConstruction,!0),this.x(l)>this.x(_)&&this.regleProlongerSegment(u,_,longueur(_,l)+2,this.couleur,this.tempo,this.vitesse,this.epaisseurTraitsDeConstruction,!0),(this.x(l)<this.x(u)||this.x(l)>this.x(_))&&this.regleMasquer(),this.x(n)<this.x(t)?(this.equerreDeplacer(n),this.equerreMontrer(),this.equerreRotation(t)):(this.equerreDeplacer(t),this.equerreMontrer(),this.equerreRotation(n)),this.equerreDeplacer(l),this.crayonMontrer(),this.crayonDeplacer(l),this.trait(l,r),this.equerreMasquer(),a&&this.codageAngleDroit(n,l,r),this.crayonMasquer()},mediane=function(n,t,r,a={}){a.codage===void 0&&(a.codage="X"),a.couleurTraitsDeConstruction===void 0&&(a.couleurTraitsDeConstruction=this.couleurTraitsDeConstruction),a.epaisseurTraitsDeConstruction===void 0&&(a.epaisseurTraitsDeConstruction=this.epaisseurTraitsDeConstruction);const s=milieu(n,t);this.regleMontrer(n,a),this.regleRotation(t,a),this.crayonMontrer();const l=rotation(n,s,-90),u=rotation(n,s,90),_=pointSurSegment(s,l,.2),m=pointSurSegment(s,u,.2);_.y>m.y?this.trait(s,_,{vitesse:a.vitesse,tempo:a.tempo,couleur:a.couleurTraitsDeConstruction,epaisseur:a.epaisseurTraitsDeConstruction}):this.trait(s,m,{vitesse:a.vitesse,tempo:a.tempo,couleur:a.couleurTraitsDeConstruction,epaisseur:a.epaisseurTraitsDeConstruction}),this.regleSegment(s,r,a),a.codage&&(this.segmentCodage(n,s,a),this.segmentCodage(s,t,a))},bissectriceAuCompas=function(n,t,r,{codage:a="/",l:s=2,couleur:l=this.couleur,tempo:u=this.tempo,vitesse:_=this.vitesse,sens:m=Math.round(this.vitesse/2),epaisseur:g=this.epaisseur,pointilles:f=this.pointilles,couleurCodage:x=this.couleurCodage,masquerTraitsDeConstructions:w=!0}={}){const Z=pointSurSegment(t,n,s),Ce=pointSurSegment(t,r,s),ne=angleOriente(n,t,r),$e=rotation(t,Z,-(180-ne)),Ie={couleur:l,tempo:u,vitesse:_,sens:m,pointilles:!1},Dt=this.compasTracerArcCentrePoint(t,Z,Ie),Lr=this.compasTracerArcCentrePoint(t,Ce,Ie),ec=this.compasTracerArcCentrePoint(Z,$e,Ie),ys=this.compasTracerArcCentrePoint(Ce,$e,Ie);return this.compasMasquer(),this.regleDemiDroiteOriginePoint(t,$e,{longueur:longueur(t,n),couleur:l,tempo:u,vitesse:_,sens:m,epaisseur:g,pointilles:f}),this.regleMasquer(),this.crayonMasquer(),a&&(this.angleCodage(n,t,$e,{couleur:x,codage:a,tempo:u}),this.angleCodage($e,t,r,{couleur:x,codage:a,tempo:u})),w&&(this.traitMasquer(Dt),this.traitMasquer(Lr),this.traitMasquer(ec),this.traitMasquer(ys)),{arc1:Dt,arc2:Lr,arc3:ec,arc4:ys}},cercleCirconscrit=function(n,t,r,a={}){a.couleur===void 0&&(a.couleur=this.couleur),a.couleurMediatrice===void 0&&(a.couleurMediatrice=a.couleur),a.couleurCercle===void 0&&(a.couleurCercle=a.couleur),a.codage="X",a.couleur=a.couleurMediatrice;const s=this.mediatriceAuCompas(n,t,a);this.traitMasquer(s[0]),this.traitMasquer(s[1]),this.traitMasquer(s[2]),this.traitMasquer(s[3]),a.codage="||";const l=this.mediatriceAuCompas(t,r,a);this.traitMasquer(l[0]),this.traitMasquer(l[1]),this.traitMasquer(l[2]),this.traitMasquer(l[3]),a.codage="///";const u=this.mediatriceAuCompas(n,r,a);this.traitMasquer(u[0]),this.traitMasquer(u[1]),this.traitMasquer(u[2]),this.traitMasquer(u[3]);const _=centreCercleCirconscrit(n,t,r);a.couleur=a.couleurCercle,this.compasCercleCentrePoint(_,n,a)},paralleleRegleEquerre2points3epoint=function(n,t,r,a){let s,l,u;n.x<t.x?(s=n,l=t):(s=t,l=n);const _=droite(n,t),m=projectionOrtho(r,_);m.x<l.x?u=pointSurSegment(m,l,-2):m.x>l.x?u=pointSurSegment(m,l,2):u=pointSurSegment(m,s,2);const g=projectionOrtho(u,droiteParPointEtParallele(r,_)),f=pointSurSegment(g,r,6);if(m.x<s.x&&longueur(m,s)>3&&(this.regleProlongerSegment(l,s),this.regleMasquer()),m.x>l.x&&longueur(m,l)>3&&this.regleProlongerSegment(s,l),this.equerreMontrer(u),f.x>g.x?this.equerreRotation(_.angleAvecHorizontale-90):this.equerreRotation(_.angleAvecHorizontale+90),u.y>g.y)this.regle.visibilite?(this.regleDeplacer(u,{vitesse:this.vitesse,tempo:0}),this.regleRotation(g,{sens:this.vitesse/2,tempo:0})):(this.regleDeplacer(u,{vitesse:1e3,tempo:0}),this.regleRotation(g,{sens:1e3,tempo:0}));else{const x=pointSurSegment(g,u,-2);this.regle.visibilite?(this.regleDeplacer(x,{vitesse:this.vitesse,tempo:0}),this.regleRotation(u,{sens:this.vitesse/2,tempo:0})):(this.regleDeplacer(x,{vitesse:1e3,tempo:0}),this.regleRotation(u,{sens:1e3,tempo:0}))}this.regleMontrer(),this.equerreDeplacer(g,a),this.crayonMontrer(),this.crayonDeplacer(g,a),this.tracer(f,a)},perpendiculaireRegleEquerre2points3epoint=function(n,t,r,a=!1){const s=this.regle.longueur,l=this.equerre.zoom,u=droite(n,t);u.nom=`(${n.nom}${t.nom})`;let _;if(n.nom===void 0&&(n.nom="A"),t.nom===void 0&&(t.nom="B"),r.estSur(droite(n,t))){const f=rotation(r,r,0),x=droiteParPointEtPerpendiculaire(r,u);r=pointIntersectionLC(x,cercle(f,5.5),1),_=7.5}else{const f=projectionOrtho(r,u);_=longueur(f,r)+2}this.equerreZoom(_*100/7.5),this.regleModifierLongueur(Math.max(_*2,15));const m=homothetie(n,t,1.2),g=homothetie(t,n,1.2);this.traitRapide(m,g),this.pointsCreer(n,t,r),this.perpendiculaireRegleEquerreDroitePoint(u,r,a),this.equerreZoom(l),this.regleModifierLongueur(s)},perpendiculaireRegleEquerreDroitePoint=function(n,t,r){if(t.estSur(n)){const a=t,s=cercle(t,6),l=pointSurDroite(n,-1e4),u=pointSurDroite(n,1e4);let _=rotation(pointIntersectionLC(n,s,1),t,90);_.y<t.y&&(_=rotation(_,t,180));const m=angleOriente(point(1e4,a.y),a,u);r&&this.textePosition(`1. Placer un côté de l'angle droit de l'équerre sur la droite ${n.nom} avec l'angle droit au point ${t.nom}.`,0,10,{couleur:"lightblue"}),this.equerreRotation(m),this.equerreMontrer(a),r&&this.textePosition("2. Tracer le long de l'autre côté de l'angle droit de l'équerre",0,9.3,{couleur:"lightblue"}),this.crayonMontrer(_),this.tracer(a),this.equerreMasquer(),r&&this.textePosition(`3. Prolonger la perpendiculaire à ${n.nom} à la règle.`,0,8.6,{couleur:"lightblue"}),this.regleMontrer(_),this.regleRotation(m-90),this.crayonDeplacer(_),this.tracer(rotation(_,a,180)),r&&this.textePosition("4. Coder l'angle droit.",0,7.9,{couleur:"lightblue"}),this.regleMasquer(),this.codageAngleDroit(l,a,_)}else{const a=projectionOrtho(t,n),s=rotation(t,a,90),l=rotation(s,a,180),u=homothetie(t,a,1.2),_=angleOriente(point(1e4,a.y),a,l);r&&this.textePosition(`1. Placer un côté de l'angle droit de l'équerre sur la droite ${n.nom} et l'autre côté de l'angle droit passant par le point ${t.nom}.`,0,10,{couleur:"lightblue"}),this.equerreRotation(_),this.equerreMontrer(a),r&&this.textePosition(`2. Tracer le segment de droite passant par le point ${t.nom}`,0,9.3,{couleur:"lightblue"}),this.crayonMontrer(t),this.tracer(a),this.equerreMasquer(),r&&this.textePosition(`3. Prolonger la perpendiculaire à ${n.nom} à la règle.`,0,8.6,{couleur:"lightblue"}),this.regleMontrer(u),this.regleRotation(_-90),this.crayonDeplacer(u),this.tracer(rotation(u,a,180)),r&&this.textePosition("4. Coder l'angle droit.",0,7.9,{couleur:"lightblue"}),this.regleMasquer(),this.codageAngleDroit(s,a,t)}},perpendiculaireRegleEquerrePointSurLaDroite=function(n,t,r){const a=pointSurDroite(n,t,"A"),s=pointSurDroite(n,t+5),l=rotation(s,a,90),u=rotation(l,a,180);n.nom===void 0&&(n.nom="(d)"),this.traitRapide(pointSurDroite(n,-20),pointSurDroite(n,20)),this.pointCreer(a),r&&this.textePosition(`1. Placer un côté de l'angle droit de l'équerre sur la droite ${n.nom}.`,0,10,{couleur:"lightblue"}),this.equerreRotation(n.angleAvecHorizontale),this.equerreMontrer(s),r&&this.textePosition(`2. Faire glisser l'équerre sur la droite jusqu'au point ${a.nom}`,0,9.3,{couleur:"lightblue"}),this.equerreDeplacer(a),r&&this.textePosition("3. Tracer le long de l'autre côté de l'angle droit de l'équerre.",0,8.6,{couleur:"lightblue"}),this.crayonMontrer(a),this.tracer(l),this.equerreMasquer(),r&&this.textePosition(`4. Prolonger la perpendiculaire à ${n.nom} à la règle.`,0,7.9,{couleur:"lightblue"}),this.regleRotation(n.angleAvecHorizontale-90),this.regleMontrer(l),this.crayonDeplacer(l),this.tracer(u),r&&this.textePosition("4. Coder l'angle droit.",0,7.2,{couleur:"lightblue"}),this.regleMasquer(),this.codageAngleDroit(l,a,s)},perpendiculaireCompasPointSurLaDroite=function(n,t,r){const a=pointSurDroite(n,t,"A"),s=pointSurDroite(n,t+3,"B"),l=pointSurDroite(n,t-3,"C"),u=similitude(s,a,90,1.2),_=similitude(s,a,-90,1.2);n.nom===void 0&&(n.nom="(d)"),this.traitRapide(pointSurDroite(n,-20),pointSurDroite(n,20)),this.pointCreer(a),r&&this.textePosition("1. Avec le compas, marquer deux points B et C de part et d'autre de A, tels que AB=AC.",0,10,{couleur:"lightblue"}),this.compasEcarter2Points(a,s),this.compasTracerArcCentrePoint(a,s,{couleur:"lightgray",epaisseur:1}),this.compasTracerArcCentrePoint(a,l,{couleur:"lightgray",epaisseur:1}),this.pointsCreer(s,l,{tempo:10}),r&&this.textePosition("2. Choisir un écartement de compas supérieur à la longueur AB.",0,9.3,{couleur:"lightblue"}),this.compasEcarter2Points(s,u),r&&this.textePosition("3. Tracer un arc de cercle de centre B avec cet écartement.",0,8.6,{couleur:"lightblue"}),this.compasTracerArcCentrePoint(s,u,{couleur:"lightgray",epaisseur:1}),r&&this.textePosition("4. Tracer un arc de cercle de centre C en conservant le même écartement.",0,7.9,{couleur:"lightblue"}),this.compasTracerArcCentrePoint(l,u,{couleur:"lightgray",epaisseur:1}),this.compasMasquer(),r&&this.textePosition("4. Tracer la droite qui passe par le point d'intersection des arcs de cercle et par le point A.",0,7.2,{couleur:"lightblue"}),this.regleRotation(n.angleAvecHorizontale-90);const m=homothetie(u,a,1.1),g=homothetie(_,a,1.1);this.regleMontrer(m),this.crayonMontrer(m),this.tracer(g),r&&this.textePosition("5. Coder l'angle droit.",0,6.5,{couleur:"lightblue"}),this.regleMasquer(),this.codageAngleDroit(u,a,s)},perpendiculaireCompasPoint=function(n,t,r){const a=projectionOrtho(t,n),s=similitude(t,a,-90,1.2,"B"),l=homothetie(s,a,-.7,"C"),u=rotation(t,a,180),_=homothetie(t,a,1.2),m=homothetie(t,a,-1.2);n.nom===""&&(n.nom="(d)"),t.nom===""&&(t.nom="A"),this.traitRapide(pointSurDroite(n,-20),pointSurDroite(n,20)),this.textePoint(n.nom,translation(pointSurDroite(n,0),vecteur(0,-.5))),this.pointCreer(t),r&&this.textePosition(`1. Choisir deux points B et C sur la droite ${n.nom}.`,0,11,{couleur:"lightblue",tempo:20}),this.tempo=20,this.pointCreer(s),this.pointCreer(l),r&&this.textePosition(`2. Tracer un arc de cercle de centre B passant par A et un autre de centre C passant par ${t.nom}.`,0,10.3,{couleur:"lightblue",tempo:20}),this.compasEcarter2Points(s,t),this.compasTracerArcCentrePoint(s,u,{couleur:"lightgray",epaisseur:1}),this.compasEcarter2Points(l,t),this.compasTracerArcCentrePoint(l,u,{couleur:"lightgray",epaisseur:1}),r&&this.textePosition(`3. Ces deux arcs de cercle se recoupent en un point qui est le symétrique de ${t.nom} par rapport à ${n.nom}`,0,9.6,{couleur:"lightblue",tempo:20}),this.compasMasquer(),r&&this.textePosition("4. Tracer la droite qui passe par le point d'intersection des arcs de cercle et par le point A.",0,8.9,{couleur:"lightblue",tempo:20}),this.regleRotation(n.angleAvecHorizontale-90),this.regleMontrer(_),this.crayonMontrer(_),this.tracer(m),r&&this.textePosition("5. Coder l'angle droit.",0,8.2,{couleur:"lightblue",tempo:20}),this.regleMasquer(),this.codageAngleDroit(_,a,s)},paralleleRegleEquerreDroitePointAvecDescription=function(n,t,r,a,s=!0){n.nom="A",t.nom="B",r.nom="M";const l=homothetie(n,t,2),u=homothetie(t,n,2),_=droite(n,t),m=rotation(_,n,90),g=projectionOrtho(r,m),f=homothetie(r,g,1.5),x=homothetie(g,r,2);this.tempo=10,this.pointsCreer(n,t,r),this.pointMasquer(l,u),this.traitRapide(l,u),this.textePosition("Parallèle à une droite passant par un point (règle et équerre)",-10,10.7,{couleur:"green",taille:4,tempo:20}),s&&this.textePosition("On veut construire la parallèle à (AB) passant par M à la règle et à l'equerre.",-10,10,{couleur:"red",taille:4,tempo:50}),s&&this.textePosition("1. Placer l'équerre un côté de l'angle droit le long de la droite (AB).",-9,9.3,{couleur:"lightblue",taille:2,tempo:10}),this.equerreMontrer(n),this.equerreRotation(_.angleAvecHorizontale+(a?-90:0),{tempo:20}),s&&this.textePosition("2. Placer ensuite la règle contre l'autre côté de l'angle droit de l'équerre.",-9,8.6,{couleur:"lightblue",taille:2,tempo:10}),this.regleRotation(_.angleAvecHorizontale-90),this.regleMontrer(l),this.regleDeplacer(homothetie(rotation(t,n,90),n,1.5),{tempo:20}),s&&this.textePosition("Remarque : On peut tracer des pointillés pour matérialiser la position de la règle.",-9.5,7.9,{couleur:"pink",taille:2,tempo:10}),this.crayonMontrer(n),this.tracer(homothetie(rotation(t,n,a?90:-90),n,1.5),{pointilles:5}),s&&this.textePosition("3. Faire glisser l'équerre le long de la règle jusqu'au point M.",-9,7.2,{couleur:"lightblue",taille:2,tempo:10}),a||this.equerreRotation(_.angleAvecHorizontale-90),this.equerreDeplacer(g,{tempo:20}),s&&this.textePosition("4. Tracer le segment de droite passant par M.",-9,6.5,{couleur:"lightblue",taille:2,tempo:10}),this.crayonDeplacer(g),this.tracer(f),this.equerreMasquer(),s&&this.textePosition("5. Placer la règle sur ce segment et prolonger la parallèle à (AB).",-9,5.8,{couleur:"lightblue",taille:2,tempo:10}),this.regleDeplacer(x),this.regleRotation(_.angleAvecHorizontale),this.tracer(x),this.regleMasquer(),s&&this.textePosition("6. Pour finir, coder la figure.",-9,5.1,{couleur:"lightblue",taille:2,tempo:20}),this.codageAngleDroit(t,n,g),this.codageAngleDroit(n,g,r),this.crayonMasquer()},paralleleAuCompasAvecDescription=function(n,t,r,a=!0){const s=translation2Points(r,n,t,"D");n.nom="A",t.nom="B",r.nom="C";const l=homothetie(n,t,1.5),u=homothetie(t,n,1.5),_=homothetie(r,s,1.5),m=homothetie(s,r,1.5);this.tempo=10,this.pointsCreer(n,t,r),this.traitRapide(l,u),this.textePosition("Parallèle à une droite passant par un point (compas et règle)",-10,10.7,{couleur:"green",taille:4,tempo:20}),a&&this.textePosition("On veut construire la parallèle à (AB) passant par C à la règle et au compas.",-10,10,{couleur:"red",taille:4,tempo:30}),a&&this.textePosition("1. Prendre avec le compas l'écartement correspondant à la longueur AB.",-9,9.3,{couleur:"lightblue",taille:2,tempo:10}),this.compasEcarter2Points(n,t),a&&this.textePosition("2. Reporter cette longueur à partir du point C.",-9,8.6,{couleur:"lightblue",taille:2,tempo:10}),this.compasTracerArcCentrePoint(r,s,{couleur:"lightgray",epaisseur:1}),a&&this.textePosition("3. Prendre ensuite avec le compas l'écartement correspondant à la longueur AC.",-9,7.9,{couleur:"lightblue",taille:2,tempo:10}),this.compasEcarter2Points(n,r),a&&this.textePosition("4. Reporter cette longueur à partir du point B.",-9,7.2,{couleur:"lightblue",taille:2,tempo:10}),this.compasTracerArcCentrePoint(t,s,{couleur:"lightgray",epaisseur:1}),this.compasMasquer(),a&&this.textePosition("5. Noter D, le point d'intersection des deux arcs de cercle.",-9,6.5,{couleur:"lightblue",taille:2,tempo:10}),this.pointCreer(s),a&&this.textePosition("6. Tracer la droite passant par C et D.",-9,5.8,{couleur:"lightblue",taille:2,tempo:10}),this.regleSegment(_,m),this.regleMasquer(),this.crayonMasquer()},paralleleAuCompas=function(n,t,r){const a=translation2Points(r,n,t),s=homothetie(r,a,1.5),l=homothetie(a,r,1.5);return this.compasEcarter2Points(n,t),this.compasTracerArcCentrePoint(r,a),this.compasEcarter2Points(n,r),this.compasTracerArcCentrePoint(t,a),this.compasMasquer(),this.regleSegment(s,l),a};function parallelogramme3sommetsConsecutifs(n,t,r,a="",s=!0){const l=translation2Points(r,t,n);l.nom=a;const u=Math.min(n.x,t.x,r.x,l.x),_=Math.min(n.y,t.y,r.y,l.y);this.traitRapide(n,t),this.traitRapide(t,r),this.pointCreer(n,n.nom,0),this.pointCreer(t,t.nom,0),this.pointCreer(r,r.nom,0),s&&this.textePosition(`${n.nom+t.nom+r.nom+l.nom} est un parallélogramme donc ses côtés opposés sont de même longueur.`,u-1,_-1),this.compasEcarter2Points(t,n),this.textePosition(`${t.nom+n.nom} = ${r.nom+l.nom}`,u-1,_-2),this.compasTracerArcCentrePoint(r,l),this.compasEcarter2Points(t,r),this.textePosition(`${t.nom+r.nom} = ${n.nom+l.nom}`,u-1,_-3),this.compasTracerArcCentrePoint(n,l,10),this.pointCreer(l),this.compasMasquer(),this.regleSegment(r,l),this.regleSegment(l,n),this.regleMasquer(),this.crayonMasquer(),this.segmentCodage(n,t,{codage:"///",couleur:this.couleurCodage,tempo:0}),this.segmentCodage(l,r,{codage:"///",couleur:this.couleurCodage,tempo:0}),this.segmentCodage(t,r,{codage:"//",couleur:this.couleurCodage,tempo:0}),this.segmentCodage(n,l,{codage:"//",couleur:this.couleurCodage,tempo:0})}function parallelogramme2sommetsConsecutifsCentre(n,t,r,a="",s="",l=!0){const u=translation2Points(r,n,r);u.nom=a;const _=translation2Points(r,t,r);_.nom=s;const m=n.nom+t.nom+u.nom+_.nom;(longueur(n,u)>12||longueur(t,_)>12)&&this.regleModifierLongueur(30);const g=Math.min(n.x,t.x,u.x,_.x),f=Math.min(n.y,t.y,u.y,_.y);this.traitRapide(n,t),this.pointCreer(n,{tempo:0}),this.pointCreer(t,{tempo:0}),this.pointCreer(r,{tempo:0}),l&&m.length===4&&this.textePosition(`${n.nom+t.nom+u.nom+_.nom} est un parallélogramme donc ses diagonales se coupent en leur milieu.`,g-1,f-1),this.pointilles=5,this.epaisseur=1,this.couleur=this.couleurTraitsDeConstruction,this.regleDemiDroiteOriginePoint(n,r,{longueur:longueur(n,u)+3}),this.regleMasquer(),this.crayonMasquer(),this.compasEcarter2Points(n,r),l&&m.length===4&&this.textePosition(`${n.nom+r.nom} = ${r.nom+u.nom}`,g-1,f-2),this.pointilles=!1,this.compasTracerArcCentrePoint(r,u),this.compasMasquer(),this.pointilles=5,this.regleDemiDroiteOriginePoint(t,r,{longueur:longueur(t,_)+3}),this.regleMasquer(),this.crayonMasquer(),this.pointilles=!1,this.compasEcarter2Points(t,r),l&&m.length===4&&this.textePosition(`${t.nom+r.nom} = ${r.nom+_.nom}`,g-1,f-3),this.compasTracerArcCentrePoint(r,_),this.compasMasquer(),this.couleur="blue",this.epaisseur=3,this.pointCreer(_),this.regleSegment(n,_),this.regleSegment(_,u),this.regleSegment(u,t),this.regleMasquer(),this.compasMasquer(),this.crayonMasquer(),this.segmentCodage(n,r,{codage:"//",couleur:this.couleurCodage,tempo:0}),this.segmentCodage(r,u,{codage:"//",couleur:this.couleurCodage,tempo:0}),this.segmentCodage(t,r,{codage:"O",couleur:this.couleurCodage,tempo:0}),this.segmentCodage(r,_,{codage:"O",couleur:this.couleurCodage,tempo:0})}function parallelogrammeAngleCentre(n,t,r,a){const s=pointSurSegment(t,r,longueur(t,r)+2),l=pointSurSegment(t,n,longueur(t,n)+2),u=translation2Points(r,t,n);this.traitRapide(t,s),this.traitRapide(t,l),this.pointCreer(a,{tempo:0}),this.pointCreer(t,{tempo:0}),this.regleDemiDroiteOriginePoint(t,a,{couleur:this.couleurTraitsDeConstruction,epaisseur:1,pointilles:5}),this.pointilles=!1,this.regleMasquer(),this.crayonMasquer(),this.compasEcarter2Points(t,a),this.compasTracerArcCentrePoint(a,u,{couleur:this.couleurTraitsDeConstruction}),this.compasMasquer(),this.paralleleRegleEquerre2points3epoint(s,t,u,{couleur:this.couleurTraitsDeConstruction,epaisseur:1}),this.equerreMasquer(),this.regleDroite(u,n,{couleur:this.couleurTraitsDeConstruction,epaisseur:1}),this.paralleleRegleEquerre2points3epoint(t,l,u,{couleur:this.couleurTraitsDeConstruction,epaisseur:1}),this.equerreMasquer(),this.regleDroite(u,r,{couleur:this.couleurTraitsDeConstruction,epaisseur:1}),this.pointCreer(n,{tempo:0}),this.pointCreer(r,{tempo:0}),this.pointCreer(u,{tempo:0}),this.regleSegment(r,u),this.regleSegment(u,n),this.regleMasquer(),this.crayonMasquer()}function partageSegment(n,t,r,a,{distance:s=1,monAngle:l=40,nom:u="",nommerGraduations:_=!1}={}){this.traitRapide(n,t),this.regleMasquerGraduations(),this.regleMontrer(n);const m=similitude(t,n,l,(Math.max(r,a)+1)*s/longueur(n,t));this.regleSegment(n,m),this.regleMasquer(),this.crayonMasquer();const g=[n];for(let w=1;w<=Math.max(r,a);w++)g.push(pointAdistance(n,s*w,l+droite(n,t).angleAvecHorizontale)),this.compasTracerArcCentrePoint(g[w-1],g[w]),_&&this.pointCreer(g[w],{label:n.nom+"_"+w,dx:-1,dy:.5});this.compasMasquer(),this.regleSegment(g[a],t),this.regleMasquer(),this.crayonMasquer();const f=this.paralleleAuCompas(g[a],t,g[r]),x=homothetie(t,n,r/a);return f.y>x.y&&this.regleProlongerSegment(f,x,{longueur:1}),this.regleSegment(n,x,{couleur:"red",epaisseur:3}),u&&this.pointCreer(x,{label:u}),this.regleMasquer(),this.crayonMasquer(),x}const carre1point1longueur=function(n,t,r){t=point(5,0,n[0]);const s=pointAdistance(t,r,randint(-20,20),n[1]),l=rotation(t,s,-90,n[2]),u=rotation(s,t,90,n[3]),_=pointSurSegment(t,u,r+2,"E"),m=pointSurSegment(u,l,r+2,"F");return this.equerreZoom((r+3)*100/7.5),this.tempo=20,this.textePosition(`1) On veut construire un carré dont les côtés mesurent ${r} cm, donc on commence par tracer un segment, ici [${n[0]+n[1]}], de cette longueur.`,0,-2),this.pointCreer(t,{tempo:0}),this.pointNommer(t,t.nom,{dx:-.5,dy:0}),this.regleSegment(t,s),this.pointCreer(s),this.regleMasquer(),this.longueurSegment(t,s,-1),this.textePosition(`2) Un carré possède 4 angles droits, donc on trace la perpendiculaire à (${n[0]+n[1]}) passant par ${n[0]}.`,0,-2-1*1),this.equerreMontrer(),this.equerreDeplacer(t),this.equerreRotation(s),this.trait(t,_),this.equerreMasquer(),this.codageAngleDroit(s,t,u),this.textePosition(`3) Les 4 côtés d'un carré sont de la même longueur, donc on place le point ${n[3]} sur cette perpendiculaire, à ${r} cm de ${n[0]}.`,0,-2-2*1),this.regleSegment(t,u),this.pointCreer(u,{tempo:0}),this.pointNommer(u,u.nom,{dx:-.7,dy:.5}),this.regleMasquer(),this.segmentCodage(t,s),this.segmentCodage(t,u),this.textePosition(`4) De même, on trace la perpendiculaire à (${n[0]+n[3]}) passant par ${n[3]}, puis on place le point ${n[2]} sur cette perpendiculaire, à ${r} cm de ${n[3]}.`,0,-2-3*1),this.equerreMontrer(),this.equerreDeplacer(u),this.equerreRotation(t),this.trait(u,m),this.equerreMasquer(),this.codageAngleDroit(t,u,l),this.regleSegment(u,l),this.pointCreer(l,{tempo:0}),this.pointNommer(l,l.nom,{dx:0,dy:.9}),this.regleMasquer(),this.segmentCodage(u,l),this.textePosition(`5) On trace le segment [${n[1]+n[2]}].`,0,-2-4*1),this.regleSegment(l,s),this.regleMasquer(),this.segmentCodage(s,l),this.textePosition(`6) On vérifie que ${n[1]+n[2]} = ${r} cm et que les deux derniers angles tracés sont droits.`,0,-2-5*1),this.equerreMontrer(l,{tempo:0}),this.equerreRotation(u),this.equerreMasquer(),this.codageAngleDroit(u,l,s),this.equerreMontrer(s,{tempo:0}),this.equerreRotation(l),this.equerreMasquer(),this.codageAngleDroit(l,s,t),polygoneAvecNom(t,s,l,u)};function symetrieAxialePoint(n,t,r,{couleur:a=this.couleur,couleurCodage:s=this.couleurCodage,codage:l="//"}={}){this.epaisseur=.5,this.couleur="grey",(r===void 0||r==="")&&(r=n.nom+"'");const u=symetrieAxiale(n,t,r);if(longueur(n,u)!==0){const _=milieu(n,u),m=rotation(n,_,90),g=rotation(m,_,180);this.regleMasquerGraduations(),this.perpendiculaireRegleEquerre2points3epoint(m,g,n),this.compasEcarter2Points(_,n),this.compasTracerArcCentrePoint(_,u),this.regleSegment(n,u),this.regleMasquer(),this.equerreMasquer(),this.segmentCodage(n,_,{codage:l,couleur:s}),this.segmentCodage(u,_,{codage:l,couleur:s}),this.crayonMasquer(),this.compasMasquer()}this.pointCreer(u,{couleur:a,couleurLabel:a})}const rotationPoint=function(n,t,r,a,{couleur:s=this.couleur,couleurCodage:l=this.couleurCodage,codage:u=!0}={}){this.epaisseur=.5,this.couleur="grey",(a===void 0||a==="")&&(a=n.nom+"'");const _=rotation(n,t,r,a);this.regleSegment(t,n),this.rapporteurMontrer(t),this.rapporteurTracerDemiDroiteAngle(t,n,r),this.regleMasquer(),this.rapporteurMasquer(),this.compasEcarter2Points(t,n),this.compasTracerArcCentrePoint(t,_),this.compasMasquer(),this.pointCreer(_,{couleur:s,couleurLabel:s}),u&&(Math.abs(r)===90?this.codageAngleDroit(n,t,_,{couleur:l}):(this.angleCodage(n,t,_,{couleur:l}),this.textePoint(Math.abs(r)+"°",translation(homothetie(rotation(n,t,r/2),t,1.3/longueur(t,n)),vecteur(-.2,.5)))))},translationPoint=function(n,t,r,a,{couleur:s="black",couleurCodage:l=this.couleurCodage}={}){const u=vecteur(t,r);this.epaisseur=.5,this.couleur="grey",(a===void 0||a==="")&&(a=n.nom+"'");const _=translation(n,u,a);longueur(t,n)!==0&&(this.compasEcarter2Points(t,n),this.compasTracerArcCentrePoint(r,_),this.compasEcarter2Points(t,r),this.compasTracerArcCentrePoint(n,_)),this.compasMasquer(),this.pointCreer(_,{couleur:s,couleurLabel:s});const m=randint(0,4),g=randint(0,4,m),f=["/","//","///","O","\\\\"],x=f[m],w=f[g];this.couleur="green",this.traitRapide(n,_),this.traitRapide(t,r),this.segmentCodage(n,_,{codage:x,couleur:l}),this.segmentCodage(t,r,{codage:x,couleur:l}),this.couleur="red",this.traitRapide(r,_),this.traitRapide(t,n),this.segmentCodage(r,_,{codage:w,couleur:l}),this.segmentCodage(t,n,{codage:w,couleur:l})},demiTourPoint=function(n,t,r,{couleur:a="black",couleurCodage:s=this.couleurCodage,codage:l="//"}={}){this.epaisseur=.5,this.couleur="grey",(r===void 0||r==="")&&(r=n.nom+"'");const u=rotation(n,t,180,r);this.compasEcarter2Points(t,n),this.compasTracerArcCentrePoint(t,u),this.compasMasquer(),this.crayonDeplacer(n),this.regleSegment(n,u),this.couleur=a,this.epaisseur=2,this.pointCreer(u,{couleur:a,couleurLabel:a}),this.regleMasquer(),this.crayonMasquer(),this.segmentCodage(n,t,{codage:l,couleur:s}),this.segmentCodage(t,u,{codage:l,couleur:s})},homothetiePoint=function(n,t,r,a,{couleur:s=this.couleur,positionTexte:l={x:0,y:0}}={}){this.epaisseur=1;const u=this.couleur;this.couleur="grey";let _;(a===void 0||a==="")&&(a=n.nom+"'");const m=homothetie(n,t,r,a);r>0?_=this.textePosition(`Comme le rapport est positif, alors les points ${n.nom} et ${m.nom} sont du même côté de ${t.nom}.`,l.x,l.y,{taille:15}):_=this.textePosition(`Comme le rapport est négatif, alors ${t.nom} est entre les points ${n.nom} et ${m.nom}.`,l.x,l.y,{taille:15}),this.regleSegment(n,t);const g=longueur(n,t),f=arrondi(g,1)*Math.abs(r),x=this.textePosition(`La mesure de [${t.nom}${n.nom}] est ${stringNombre(g,1)} cm et le rapport de l'homothétie est ${stringNombre(r,3)}`,l.x,l.y-1,{taille:15}),w=this.textePosition(`donc ${t.nom}${m.nom} est ${stringNombre(g,1)} cm × ${stringNombre(Math.abs(r),3)} = ${stringNombre(f,2)} cm.`,l.x,l.y-2,{taille:15});this.regleSegment(t,m),this.pointCreer(m,{couleur:s,couleurLabel:s}),this.regleMasquer(),this.crayonMasquer(),this.pause(),this.texteMasquer(x),this.texteMasquer(w),this.texteMasquer(_),this.couleur=u},rotationPolygone=function(n,t,r,a=[],{couleur:s=this.couleur,couleurCodage:l=this.couleurCodage}={}){let u;const _=rotation(n,t,r);this.epaisseur=.5,this.couleur="grey";let m=0,g;for(const f of n.listePoints)a[m]!==void 0?u=a[m]:u=f.nom+"'",m<1?g=!0:g=!1,longueur(t,f)!==0&&this.rotationPoint(f,t,r,u,{couleur:s,couleurCodage:l,codage:g}),m++;this.epaisseur=2,this.couleur=s,this.polygoneRapide(..._.listePoints)},symetrieAxialePolygone=function(n,t,r=[],{couleur:a=this.couleur,couleurCodage:s=this.couleurCodage}={}){let l;const u=symetrieAxiale(n,t);this.epaisseur=.5,this.couleur="grey";let _=0;const m=["/","//","///","O","\\\\"];for(const g of n.listePoints)r[_]!==void 0?l=r[_]:l=g.nom+"'",this.symetrieAxialePoint(g,t,l,{couleur:a,couleurCodage:s,codage:m[_]}),_++;this.compasMasquer(),this.crayonMasquer(),this.epaisseur=2,this.couleur=a,this.polygoneRapide(...u.listePoints),this.polygoneRapide(u)},translationPolygone=function(n,t,r,a=[],{couleur:s=this.couleur,couleurCodage:l=this.couleurCodage,codage:u="O"}={}){let _;const m=vecteur(t,r),g=translation(n,m);this.epaisseur=.5,this.couleur="grey";let f=0;for(const x of n.listePoints)a[f]!==void 0?_=a[f]:_=x.nom+"'",this.translationPoint(x,t,r,_,{couleur:s,couleurCodage:l,codage:u});this.epaisseur=2,this.couleur=s,this.polygoneRapide(...g.listePoints),this.polygoneRapide(g),f++},demiTourPolygone=function(n,t,r=[],{couleur:a=this.couleur,couleurCodage:s=this.couleurCodage}={}){const l=rotation(n,t,180);this.epaisseur=.5,this.couleur="grey";let u,_=0;const m=["/","//","///","O","\\\\"];for(const g of n.listePoints)r[_]!==void 0?u=r[_]:u=g.nom+"'",this.demiTourPoint(g,t,u,{couleur:a,couleurCodage:s,codage:m[_]}),_++;this.epaisseur=2,this.couleur=a,this.polygoneRapide(...l.listePoints),this.polygoneRapide(l)},homothetiePolygone=function(n,t,r,a=[],{couleur:s=this.couleur}={}){let l;const u=homothetie(n,t,r);this.epaisseur=1,this.couleur="grey";const _=this.textePosition("Comme k est "+(r>=0?"positif":"négatif")+" alors "+(r>=0?"les figures sont du même côté de "+t.nom:t.nom+" est entre les figures"),0,0,{taille:15});let m=0;for(const g of n.listePoints)a[m]!==void 0?l=a[m]:l=g.nom+"'",this.homothetiePoint(g,t,r,l,{couleur:s}),m++;this.epaisseur=2,this.couleur=s,this.polygoneRapide(...u.listePoints),this.texteMasquer(_)},triangle3longueurs=function(n,t,r,a,s=!0){const l=point(6,0),u=pointAdistance(l,t,randint(-20,20)),m=triangle2points2longueurs(l,u,r,a).listePoints[2];return n.length!==3?s=!1:(l.nom=n[0],u.nom=n[1],m.nom=n[2]),s&&this.textePosition(`${l.nom+u.nom} = ${nombreAvecEspace(t)} cm`,0,-2),this.pointCreer(l),this.regleSegment(l,u),this.pointCreer(u),this.crayonMasquer(),s&&this.textePosition(`${l.nom+m.nom} = ${nombreAvecEspace(r)} cm donc ${m.nom} appartient au cercle de centre ${l.nom} et de rayon ${nombreAvecEspace(r)} cm.`,0,-3),this.couleur="forestgreen",this.epaisseur=2,this.compasMontrer(l),this.compasEcarterAvecRegle(r),this.compasTracerArcCentrePoint(l,m,40),s&&this.textePosition(`${u.nom+m.nom} = ${nombreAvecEspace(a)} cm donc ${m.nom} appartient au cercle de centre ${u.nom} et de rayon ${nombreAvecEspace(a)} cm.`,0,-4),this.compasDeplacer(u),this.compasEcarterAvecRegle(a),this.compasTracerArcCentrePoint(u,m),this.compasMasquer(),this.couleur="blue",this.epaisseur=3,s&&this.textePosition(`Le point ${m.nom} est à une intersection des deux cercles.`,0,-5),this.pointCreer(m),this.regleSegment(u,m),this.regleSegment(m,l),this.crayonMasquer(),this.regleMasquer(),[l,u,m]},triangleRectangleCoteHypotenuse=function(n,t,r,a=!0){const s=point(6,0),l=pointAdistance(s,t,randint(-20,20)),u=droite(s,l);u.isVisible=!1;const _=droiteParPointEtPerpendiculaire(l,u);_.isVisible=!1;const m=cercle(s,r);m.isVisible=!1;const g=pointIntersectionLC(_,m),f=homothetie(g,l,1.2);return n.length!==3?a=!1:(s.nom=n[0],l.nom=n[1],g.nom=n[2]),longueur(s,g)>8&&this.equerreZoom(150),a&&this.textePosition(`${s.nom+l.nom} = ${nombreAvecEspace(t)} cm`,0,-2),this.equerreRotation(u.angleAvecHorizontale),this.pointCreer(s),this.regleSegment(s,l),this.pointCreer(l),a&&this.textePosition(`${s.nom+l.nom+g.nom} est un triangle rectangle en ${l.nom} donc ${g.nom} appartient à la perpendiculaire à (${s.nom+l.nom}) passant par ${l.nom}.`,0,-3),this.equerreMontrer(s),this.equerreDeplacer(l),this.tracer(f),this.equerreMasquer(),this.codageAngleDroit(s,l,g),this.crayonMasquer(),a&&this.textePosition(`${s.nom+g.nom} = ${nombreAvecEspace(r)} cm donc ${g.nom} appartient au cercle de centre ${s.nom} et de rayon ${nombreAvecEspace(r)} cm.`,0,-4),this.compasMontrer(s),this.compasEcarterAvecRegle(r),this.couleur="forestgreen",this.epaisseur=2,this.compasTracerArcCentrePoint(s,g),this.couleur="blue",this.epaisseur=2,a&&this.textePosition(`${g.nom} est à une intersection de la perpendiculaire et du cercle.`,0,-5),this.crayonMontrer(g),this.pointCreer(g),this.compasMasquer(),this.regleSegment(s,g),this.regleMasquer(),this.crayonMasquer(),[s,l,g]},triangleRectangle2Cotes=function(n,t,r,a=!0){const s=point(6,0),l=pointAdistance(s,t,randint(-20,20)),u=droite(s,l);u.isVisible=!1;const _=droiteParPointEtPerpendiculaire(l,u);_.isVisible=!1;const m=cercle(l,r);m.isVisible=!1;const g=pointIntersectionLC(_,m),f=homothetie(g,l,1.2);return n.length!==3?a=!1:(s.nom=n[0],l.nom=n[1],g.nom=n[2]),longueur(s,g)>8&&this.equerreZoom(150),a&&this.textePosition(`${s.nom+l.nom} = ${nombreAvecEspace(t)} cm`,0,-2),this.equerreRotation(u.angleAvecHorizontale),this.pointCreer(s),this.regleSegment(s,l),this.pointCreer(l),a&&this.textePosition(`${s.nom+l.nom+g.nom} est un triangle rectangle en ${l.nom} donc ${g.nom} appartient à la perpendiculaire à (${s.nom+l.nom}) passant par ${l.nom}.`,0,-3),this.equerreMontrer(s),this.equerreDeplacer(l),this.tracer(f),this.equerreMasquer(),this.codageAngleDroit(s,l,g),a&&this.textePosition(`${l.nom+g.nom} = ${nombreAvecEspace(r)} cm donc ${g.nom} est à ${nombreAvecEspace(r)} cm de ${l.nom} sur la perpendiculaire à (${s.nom+l.nom}) passant par ${l.nom}.`,0,-4),this.regleMontrer(l),this.regleRotation(g),this.crayonDeplacer(g),this.pointCreer(g),this.couleur="blue",this.epaisseur=2,this.compasMasquer(),this.regleSegment(s,g),this.regleMasquer(),this.crayonMasquer(),[s,l,g]},triangle1longueur2angles=function(n,t,r,a,s=!0,l=!1){const u=randint(-20,20),_=r,m=a,g=point(6,0),f=pointAdistance(g,t,u),x=pointAdistance(g,5.2,_+u),w=pointSurSegment(g,x,10),Z=pointSurSegment(x,w,.4),Ce=pointAdistance(f,3,180-m+u),ne=pointSurSegment(f,Ce,10),$e=pointSurSegment(Ce,ne,-.4),Ie=pointAdistance(f,5.2,180-m+u),Dt=pointSurSegment(Ie,ne,.4),Lr=rotation(droite(g,f),g,_);x.isVisible=!1;const ec=rotation(droite(f,g),f,-m);ec.isVisible=!1;const ys=pointIntersectionDD(Lr,ec);return n.length!==3?s=!1:(g.nom=n[0],f.nom=n[1],ys.nom=n[2]),this.couleur="blue",this.epaisseur=3,this.pointCreer(g),s&&this.textePosition(`On trace le côté [${g.nom+f.nom}] de ${nombreAvecEspace(t)} cm.`,0,-4),this.regleSegment(g,f),this.pointCreer(f),this.couleur="grey",this.epaisseur=1,this.rapporteurMontrer(g),this.rapporteurDeplacer(g),this.rapporteurRotation(u),s&&this.textePosition(`On place un repère à ${_} degrés pour tracer la demi-droite [${g.nom+ys.nom}).`,0,-5),this.epaisseur=3,this.trait(x,Z,20),this.epaisseur=1,this.rapporteurMasquer(),this.regleSegment(g,w),this.regleMasquer(),this.angleCodage(f,g,ys),this.rapporteurMontrer(g),this.rapporteurDeplacer(f),s&&this.textePosition(`On place un repère à ${m} degrés pour tracer la demi-droite [${f.nom+ys.nom}).`,0,-6),this.epaisseur=3,this.trait(Ce,$e,10),this.trait(Ie,Dt,20),this.epaisseur=1,this.rapporteurMasquer(),this.regleMontrer(f),this.regleSegment(f,ne),this.angleCodage(ys,f,g),this.pointCreer(ys),this.couleur="blue",this.epaisseur=3,this.regleSegment(f,ys),this.regleSegment(ys,g),this.regleMasquer(),this.crayonMasquer(),s&&l&&this.textePosition(`On peut mesurer ${g.nom+ys.nom} ≈ ${nombreAvecEspace(longueur(g,ys,1))} cm et ${f.nom+ys.nom} ≈ ${nombreAvecEspace(longueur(f,ys,1))} cm.`,0,-7),[g,f,ys]},triangle2longueurs1angle=function(n,t,r,a,s=!0){const l=randint(-20,20),u=a,_=point(6,0),m=pointAdistance(_,t,l),g=pointAdistance(_,5.2,u+l),f=pointSurSegment(_,g,10),x=pointSurSegment(g,f,.4),w=pointSurSegment(_,f,r);return n.length!==3?s=!1:(_.nom=n[0],m.nom=n[1],w.nom=n[2]),this.couleur="blue",this.epaisseur=3,this.pointCreer(_),s&&this.textePosition(`On trace le côté [${_.nom+m.nom}] de ${nombreAvecEspace(t)} cm.`,0,-4),this.regleSegment(_,m),this.pointCreer(m),this.couleur="grey",this.epaisseur=1,this.rapporteurMontrer(_),this.rapporteurDeplacer(_),this.rapporteurRotation(l),s&&this.textePosition(`On place un repère à ${u} degrés pour tracer la demi-droite [${_.nom+w.nom}).`,0,-5),this.epaisseur=3,this.trait(g,x,20),this.epaisseur=1,this.rapporteurMasquer(),this.regleSegment(_,f),this.angleCodage(m,_,w),this.rapporteurMasquer(),s&&this.textePosition(`On place le point ${w.nom} sur la demi-droite [${_.nom+w.nom}) à ${r} cm de ${_.nom}.`,0,-6),this.epaisseur=3,this.couleur="blue",this.crayonDeplacer(w),this.pointCreer(w),this.regleSegment(_,w),this.crayonMasquer(),s&&this.textePosition(`On trace le côté [${m.nom+w.nom}].`,0,-7),this.regleMontrer(w),this.crayonMontrer(w),this.regleSegment(w,m),this.regleMasquer(),this.crayonMasquer(),[_,m,w]},triangleEquilateral2Sommets=function(n,t,r=""){const a=rotation(t,n,60);return a.nom=r,this.traitRapide(n,t),this.pointCreer(n,n.nom,0),this.pointCreer(t,t.nom,0),this.compasEcarter2Points(n,t),this.compasTracerArcCentrePoint(n,a),this.compasTracerArcCentrePoint(t,a),this.pointCreer(a),this.compasMasquer(),this.regleSegment(n,a),this.regleSegment(a,t),this.regleMasquer(),this.crayonMasquer(),this.segmentCodage(n,t),this.segmentCodage(n,a),this.segmentCodage(t,a),[n,t,a]},triangleEquilateral=function(n,t){const r=point(6,0),a=pointAdistance(r,t,randint(-20,20)),s=rotation(a,r,60);return n.length===3&&(r.nom=n[0],a.nom=n[1],s.nom=n[2]),this.regleSegment(r,a),this.pointCreer(r),this.pointCreer(a),this.compasEcarter2Points(r,a),this.compasTracerArcCentrePoint(r,s),this.compasTracerArcCentrePoint(a,s),this.pointCreer(s),this.compasMasquer(),this.regleSegment(r,s),this.regleSegment(s,a),this.regleMasquer(),this.crayonMasquer(),this.segmentCodage(r,a),this.segmentCodage(r,s),this.segmentCodage(a,s),[r,a,s]},store={};class StoreIep{static getXml(t){return store[t]}static saveXml(t,r){store[t]=r}}class Alea2iep{constructor(){this.idIEP=0,this.idHTML=0,this.tempo=5,this.vitesse=10,this.couleur="blue",this.couleurCompas="forestgreen",this.couleurTexte="black",this.couleurPoint="black",this.couleurCodage="#f15929",this.couleurTraitsDeConstruction="gray",this.epaisseur=2,this.epaisseurTraitsDeConstruction=1,this.pointilles=!1,this.liste_script=[],this.translationX=0,this.translationY=10,this.xMin=0,this.yMin=0,this.xMax=0,this.yMax=0,this.regle={visibilite:!1,position:point(0,0),angle:0,longueur:15,zoom:100},this.crayon={visibilite:!1,position:point(0,0),angle:0,zoom:100},this.equerre={visibilite:!1,position:point(0,0),angle:0,zoom:100},this.requerre={visibilite:!1,position:point(0,0),angle:0,zoom:100},this.rapporteur={visibilite:!1,position:point(0,0),angle:0,rayon:5.2,zoom:100},this.compas={visibilite:!1,position:point(0,0),angle:0,orientation:"droite",ecartement:0,leve:!1,zoom:100},this.xml=""}x(t){const r=Math.round((t.x+this.translationX)*30);return t.x>this.xMax&&(this.xMax=t.x),t.x<this.xMin&&(this.xMin=t.x),r}y(t){const r=Math.round((-t.y+this.translationY)*30);return t.y<this.yMin&&(this.yMin=t.y),t.y>this.yMax&&(this.yMax=t.y),r}script(){if(this.xml.length>1)return this.xml;{let t=`<?xml version="1.0" encoding="UTF-8"?>
`;return t+=`<INSTRUMENPOCHE version="2">
`,t+=this.liste_script.join(`
`),t+=`
</INSTRUMENPOCHE>`,t}}html(t,r=0){if(context.isHtml){const a=`IEP_${t}_${r}`;return StoreIep.saveXml(a,this.script()),`<alea-instrumenpoche id=${a}>`}return""}htmlBouton(t,r=""){if(context.isHtml){const a=`IEP_${t}_${r}`;return StoreIep.saveXml(a,this.script()),`<alea-buttoninstrumenpoche id=${a}>`}return""}recadre(t,r){this.translationX=1-t,this.translationY=r+3}taille(t,r){this.liste_script.push(`<viewBox width="${t}" height="${r}" />`)}montrer(t,r,{tempo:a=this.tempo,vitesse:s=this.vitesse}={}){if(!this[t].visibilite||this[t].position!==r){let l="",u;typeof r>"u"?u=this[t].position:u=r,this[t].visibilite?this.deplacer(t,u,{tempo:a,vitesse:s}):(l=`<action objet="${t}" mouvement="montrer" abscisse="${this.x(u)}" ordonnee="${this.y(u)}" tempo="${a}" />`,this[t].visibilite=!0),this[t].position=u,this.liste_script.push(l)}}regleMontrer(t,r){this.montrer("regle",t,r)}crayonMontrer(t,r){this.montrer("crayon",t,r)}equerreMontrer(t,r){this.montrer("equerre",t,r)}requerreMontrer(t,r){this.montrer("requerre",t,r)}compasMontrer(t,r){this.montrer("compas",t,r)}rapporteurMontrer(t,r){this.montrer("rapporteur",t,r)}masquer(t,{tempo:r=this.tempo}={}){if(this[t].visibilite){const a=`<action objet="${t}" mouvement="masquer" tempo="${r}" />`;this[t].visibilite=!1,this.liste_script.push(a)}}regleMasquer(t){this.masquer("regle",t)}crayonMasquer(t){this.masquer("crayon",t)}equerreMasquer(t){this.masquer("equerre",t)}requerreMasquer(t){this.masquer("requerre",t)}compasMasquer(t){this.masquer("compas",t)}rapporteurMasquer(t){this.masquer("rapporteur",t)}deplacer(t,r,{tempo:a=this.tempo,vitesse:s=this.vitesse}={}){if(this[t].position!==r){const l=`<action objet="${t}" mouvement="translation" abscisse="${this.x(r)}" ordonnee="${this.y(r)}" tempo="${a}" vitesse="${s}" />`;this[t].position=r,this.liste_script.push(l)}}regleDeplacer(t,r){this.deplacer("regle",t,r)}texteDeplacer(t,r,{tempo:a=this.tempo,vitesse:s=this.vitesse}={}){const l=`<action objet="texte" id="${t}" mouvement="translation" abscisse="${this.x(r)}" ordonnee="${this.y(r)}" tempo="${a}" vitesse="${s}" />`;this.liste_script.push(l)}crayonDeplacer(t,r){this.deplacer("crayon",t,r)}equerreDeplacer(t,r){this.deplacer("equerre",t,r)}requerreDeplacer(t,r){this.deplacer("requerre",t,r)}compasDeplacer(t,r){this.deplacer("compas",t,r)}rapporteurDeplacer(t,r){this.deplacer("rapporteur",t,r)}rotation(t,r,{tempo:a=this.tempo,sens:s=Math.round(this.vitesse/2)}={}){let l;if(r.typeObjet==="point"?l=droite(this[t].position,r).angleAvecHorizontale:l=r,this[t].angle!==r){const u=`<action objet="${t}" mouvement="rotation" angle="${-1*l}" tempo="${a}" sens="${s}" />`;this[t].angle=l,typeof l=="number"&&isFinite(l)?this.liste_script.push(u):console.log("Angle de rotation non défini pour l'objet .",t)}}regleRotation(t,r){this.rotation("regle",t,r)}crayonRotation(t,r){this.rotation("crayon",t,r)}equerreRotation(t,r){this.rotation("equerre",t,r)}requerreRotation(t,r){this.rotation("requerre",t,r)}compasRotation(t,r){this.rotation("compas",t,r)}rapporteurRotation(t,r){this.rotation("rapporteur",t,r)}zoom(t,r,{tempo:a=0}={}){this[t].zoom=r,this.liste_script.push(`<action echelle="${r}" mouvement="zoom" objet="${t}" tempo="${a}" />`)}regleZoom(t,r){this.zoom("regle",t,r),this.regle.longueur=this.regle.longueur*t/100}equerreZoom(t,r){this.zoom("equerre",t,r)}requerreZoom(t,r){this.zoom("requerre",t,r)}rapporteurZoom(t,r){this.zoom("rapporteur",t,r)}compasZoom(t,r){this.zoom("compas",t,r)}pointCreer(t,{dx:r=.1,dy:a,label:s=t.nom,tempo:l=this.tempo,couleur:u=this.couleurPoint,couleurLabel:_=this.couleurTexte,id:m}={}){typeof m<"u"?t.id=m:(this.idIEP++,t.id=this.idIEP);let g;if(s){g=`<action abscisse="${this.x(t)}" ordonnee="${this.y(t)}" couleur="${u}" id="${t.id}" mouvement="creer" objet="point" tempo="${l}"/>`;const f=point(t.x,t.y);typeof r<"u"&&(f.x+=r),typeof a<"u"&&(f.y+=a),this.textePoint(`$${s}$`,f,{tempo:0,couleur:_})}else g=`<action abscisse="${this.x(t)}" ordonnee="${this.y(t)}" couleur="${u}" id="${t.id}" mouvement="creer" objet="point" tempo="${l}" />`;this.liste_script.push(g)}pointsCreer(...t){if(t[t.length-1].typeObjet==="point")for(const r of t)this.pointCreer(r,{tempo:0});else{const r=t[t.length-1],a=s=>s.slice(0,-1);for(const s of a(t))this.pointCreer(s,r)}}pointMasquer(...t){const r=a=>a.slice(0,-1);if(t[t.length-1].typeObjet==="point")for(const a of t)this.liste_script.push(`<action id="${a.id}" mouvement="masquer" objet="point" tempo="0" />`);else if(t[t.length-1].tempo!==void 0){const a=t[t.length-1].tempo;for(const s of r(t))this.liste_script.push(`<action id="${s.id}" mouvement="masquer" objet="point" tempo="${a}" />`)}else for(const a of r(t))this.liste_script.push(`<action id="${a.id}" mouvement="masquer" objet="point" tempo="0" />`)}pointMontrer(t,{tempo:r=this.tempo}={}){this.liste_script.push(`<action id="${t.id}" mouvement="montrer" objet="point" tempo="${r}" />`)}pointDeplacer(t,r,a,{tempo:s=this.tempo,vitesse:l=this.vitesse}={}){const u=point(r,a);this.liste_script.push(`<action abscisse="${this.x(u)}" ordonnee="${this.y(u)}" id="${t.id}" mouvement="translation" objet="point" tempo="${s}" vitesse="${l}" />`)}pointNommer(t,r,{dx:a,dy:s,couleur:l=this.couleurPoint,tempo:u=this.tempo}={}){const _=point(t.x,t.y);typeof a<"u"&&(_.x+=a),typeof s<"u"&&(_.y+=s),this.textePoint(`$${r}$`,_,{tempo:u,couleur:l})}compasRetourner({tempo:t=this.tempo}={}){const r=`<action mouvement="retourner" objet="compas" tempo="${t}" />`;this.compas.orientation==="droite"?this.compas.orientation="gauche":this.compas.orientation="droite",this.liste_script.push(r)}compasEcarter(t,{tempo:r=this.tempo,vitesse:a=this.vitesse}={}){const s=`<action ecart="${t*30}" mouvement="ecarter" objet="compas" tempo="${r}" vitesse="${a}" />`;this.compas.ecartement=t,this.liste_script.push(s)}compasEcarterAvecRegle(t,{tempo:r=this.tempo,vitesse:a=this.vitesse,sens:s=this.vitesse/2}={}){this.regleRotation(0,{tempo:0,sens:s}),this.regleMontrer(this.compas.position,{tempo:0}),this.regleDeplacer(this.compas.position,{tempo:0,vitesse:a}),this.compasMontrer(),this.compasRotation(0,{tempo:0,sens:s}),this.compasEcarter(t,{tempo:r,vitesse:a,sens:s})}compasEcarter2Points(t,r,{tempo:a=this.tempo,vitesse:s=this.vitesse,sens:l=this.vitesse/2}={}){this.compasMontrer(t),this.compasDeplacer(t,{tempo:a,vitesse:s});const u=segment(t,r);u.isVisible=!1;const _=u.angleAvecHorizontale;this.compasRotation(_,{tempo:a,sens:l}),this.compasEcarter(longueur(t,r),{tempo:a,vitesse:s})}compasLever({tempo:t=this.tempo}={}){if(!this.compas.leve){const r=`<action mouvement="lever" objet="compas" tempo="${t} />`;this.compas.leve=!0,this.liste_script.push(r)}}compasCoucher({tempo:t=this.tempo}={}){if(this.compas.leve){const r=`<action mouvement="coucher" objet="compas" tempo="${t}" />`;this.compas.leve=!1,this.liste_script.push(r)}}compasTracerArc2Angles(t,r,{tempo:a=this.tempo,sens:s=Math.round(this.vitesse/2),epaisseur:l=this.epaisseur,couleur:u=this.couleurCompas,pointilles:_=this.pointilles}={}){const m=_?'pointille="tiret"':"";this.idIEP+=1,Math.abs(this.compas.angle-t)>Math.abs(this.compas.angle-r)&&([t,r]=[r,t]);let g=`<action sens="${s}" angle="${-t}" mouvement="rotation" objet="compas" tempo="${a}" />
`;g+=`<action mouvement="lever" objet="compas" />
`,g+=`<action sens="${s}" angle="${-t}" mouvement="rotation" objet="compas" />
`;let f;return r>t?f=s:f=-1*s,g+=`<action couleur="${u}" epaisseur="${l}" sens="${f}" debut="${-t}" fin="${-r}" mouvement="tracer" objet="compas"  ${m} id="${this.idIEP}" />
`,g+=`<action mouvement="coucher" objet="compas" tempo="${a}"/>`,this.compas.angle=r,this.liste_script.push(g),this.idIEP}compasTracerArcCentrePoint(t,r,{delta:a=10,tempo:s=this.tempo,vitesse:l=this.vitesse,sens:u=Math.round(this.vitesse/2),epaisseur:_=this.epaisseur,couleur:m=this.couleurCompas,pointilles:g=this.pointilles}={}){this.compasMontrer(),this.compasDeplacer(t,{tempo:s,vitesse:l});const f=segment(t,r);f.visibility=!1;const x=f.angleAvecHorizontale-a,w=f.angleAvecHorizontale+a;return Math.abs(this.compas.ecartement-longueur(this.compas.position,r))>.1&&this.compasEcarter(longueur(t,r),{tempo:s,vitesse:l}),this.compasTracerArc2Angles(x,w,{tempo:s,vitesse:l,epaisseur:_,sens:u,couleur:m,pointilles:g})}compasCercleCentrePoint(t,r,{tempo:a=this.tempo,couleur:s=this.couleur,vitesse:l=this.vitesse,sens:u=Math.round(this.vitesse/2),epaisseur:_=this.epaisseur,pointilles:m=this.pointilles}={}){this.compasEcarter2Points(t,r,{vitesse:l,tempo:a});const f=droite(t,r).angleAvecHorizontale;this.compasTracerArc2Angles(f,f+360,{tempo:a,vitesse:l,sens:u,epaisseur:_,couleur:s,pointilles:m})}requerreGlisserEquerre(t,{tempo:r=this.tempo,vitesse:a=this.vitesse}={}){this.liste_script.push(`<action abscisse="${t*30}" mouvement="glisser" objet="requerre" tempo="${r}" vitesse="${a}" />`)}rapporteurMasquerGraduationsExterieures({tempo:t=this.tempo}={}){this.liste_script.push(`<action mouvement="masquer_nombres" objet="rapporteur" tempo="${t}"/>`)}rapporteurMontrerGraduationsExterieures({tempo:t=this.tempo}={}){this.liste_script.push(`<action mouvement="montrer_nombres" objet="rapporteur" tempo="${t}"/>`)}rapporteurMasquerGraduationsInterieures({tempo:t=this.tempo}={}){this.liste_script.push(`<action mouvement="vide" objet="rapporteur" tempo="${t}"/>`)}rapporteurMontrerGraduationsInterieures({tempo:t=this.tempo}={}){this.liste_script.push(`<action mouvement="graduations" objet="rapporteur" tempo="${t}"/>`)}rapporteurDeplacerRotation2Points(t,r,{tempo:a=this.tempo,vitesse:s=this.vitesse,sens:l=Math.round(this.vitesse/2)}={}){const u=droite(t,r);u.isVisible=!1,this.rapporteurMontrer(),this.rapporteurDeplacer(t,{tempo:a,vitesse:s}),this.rapporteurRotation(u.angleAvecHorizontale,{tempo:a,vitesse:s,sens:l})}rapporteurCrayonMarqueAngle(t,{tempo:r=this.tempo,vitesse:a=this.vitesse,couleur:s=this.couleurTraitsDeConstruction,epaisseur:l=this.epaisseurTraitsDeConstruction}={}){const u=this.rapporteur.position,_=this.rapporteur.rayon*this.rapporteur.zoom/100,m=pointAdistance(u,_,t+this.rapporteur.angle),g=pointAdistance(u,_+.3,t+this.rapporteur.angle);this.crayonMontrer(),this.crayonDeplacer(m,{tempo:r,vitesse:a}),this.tracer(g,{tempo:r,vitesse:a,couleur:s,epaisseur:l})}rapporteurTracerDemiDroiteAngle(t,r,a,{longueur:s=.9*this.regle.longueur,couleur:l=this.couleur,tempo:u=this.tempo,vitesse:_=this.vitesse,sens:m=Math.round(this.vitesse/2),epaisseur:g=this.epaisseur,pointilles:f=this.pointilles}={}){if(a>0)this.rapporteurDeplacerRotation2Points(t,r,{tempo:u,vitesse:_,sens:m}),this.rapporteurCrayonMarqueAngle(a,{tempo:u,vitesse:_,sens:m});else{const Z=rotation(r,t,180);this.rapporteurDeplacerRotation2Points(t,Z,{tempo:u,vitesse:_,sens:m}),this.rapporteurCrayonMarqueAngle(180-Math.abs(a),{tempo:u,vitesse:_,sens:m})}const x=droite(t,r);x.isVisible=!1;const w=pointAdistance(t,this.rapporteur.rayon*this.rapporteur.zoom/100,x.angleAvecHorizontale+a);this.rapporteurMasquer({tempo:u}),this.regleDemiDroiteOriginePoint(t,w,{longueur:s,couleur:l,tempo:u,vitesse:_,sens:m,epaisseur:g,pointilles:f})}regleMasquerGraduations({tempo:t=this.tempo}={}){this.liste_script.push(`<action mouvement="vide" objet="regle" tempo="${t}"/>`)}regleMontrerGraduations({tempo:t=this.tempo}={}){this.liste_script.push(`<action mouvement="graduations" objet="regle" tempo="${t}"/>`)}regleModifierLongueur(t=20,{tempo:r=this.tempo}={}){this.regle.longueur=t,this.liste_script.push(`<action mouvement="modifier_longueur" objet="regle" longueur="${t}" tempo="${r}"/>`)}regleDemiDroiteOriginePoint(t,r,a={}){a.longueur||(a.longueur=this.regle.longueur);const s=pointSurSegment(t,r,a.longueur);this.regleSegment(t,s,a)}regleDroite(t,r,a={}){a.longueur||(a.longueur=this.regle.longueur);const s=homothetie(r,t,(-a.longueur*.5+longueur(t,r)*.5)/longueur(t,r)),l=homothetie(t,r,(-a.longueur*.5+longueur(t,r)*.5)/longueur(t,r));this.x(t)<=this.x(r)?(this.regleMontrer(s),this.regleRotation(l,a),this.regleSegment(s,l,a)):(this.regleMontrer(l),this.regleRotation(s,a),this.regleSegment(l,s,a))}regleProlongerSegment(t,r,a={}){if(a.longueur||(a.longueur=this.regle.longueur-3),a.longueur>0){const s=pointSurSegment(r,t,3),l=pointSurSegment(r,t,-a.longueur);this.regleSegment(s,l,a)}else{const s=pointSurSegment(t,r,3),l=pointSurSegment(t,r,a.longueur);this.regleSegment(s,l,a)}}tracer(t,{tempo:r=this.tempo,vitesse:a=this.vitesse,epaisseur:s=this.epaisseur,couleur:l=this.couleur,pointilles:u=this.pointilles,vecteur:_=!1}={}){const m=u?'pointille="tiret"':"",g=_?'style="vecteur"':"";this.idIEP+=1;const f=`<action abscisse="${this.x(t)}" ordonnee="${this.y(t)}" epaisseur="${s}" couleur="${l}" mouvement="tracer" objet="crayon" tempo="${r}" vitesse="${a}"  ${m} ${g} id="${this.idIEP}" />`;return this.crayon.position=t,this.liste_script.push(f),this.idIEP}trait(t,r,a={}){return this.crayonDeplacer(t,a),this.tracer(r,a)}traitRapide(t,r,a={}){return a.tempo=0,a.vitesse=1e4,this.crayonDeplacer(t,a),this.tracer(r,a)}traitMasquer(t,{vitesse:r=200}={}){this.liste_script.push(`<action mouvement="masquer" objet="trait" id="${t}" vitesse="${r}" />`)}regleSegment(t,r,a){let s,l,u,_;return t.typeObjet==="segment"?(s=t.extremite1,l=t.extremite2,u=r):(s=t,l=r,u=a),s.x<=l.x?(this.regleMontrer(s,u),this.regleRotation(l,u)):(this.regleMontrer(l,u),this.regleRotation(s,u)),longueur(this.crayon.position,s)<longueur(this.crayon.position,l)?(this.crayonMontrer(s,u),_=this.tracer(l,u)):(this.crayonMontrer(l,u),_=this.tracer(s,u)),_}polygoneTracer(...t){for(let r=0;r<t.length-1;r++)this.regleSegment(t[r],t[r+1]);this.regleSegment(t[t.length-1],t[0])}polygoneRapide(...t){for(let r=0;r<t.length-1;r++)this.traitRapide(t[r],t[r+1]);this.traitRapide(t[t.length-1],t[0])}textePoint(t,r,{tempo:a=this.tempo,police:s=!1,couleur:l=this.couleurTexte,taille:u,couleurFond:_,opaciteFond:m,couleurCadre:g,epaisseurCadre:f,marge:x,margeGauche:w,margeDroite:Z,margeHaut:Ce,margeBas:ne}={}){this.idIEP++;const $e=s?`police="${s}"`:"";let Ie="";typeof _<"u"&&(Ie+=` couleur_fond="${_}"`),typeof m<"u"&&(Ie+=` opacite_fond="${m}"`),typeof g<"u"&&(Ie+=` couleur_cadre="${g}"`),typeof f<"u"&&(Ie+=` epaisseur_cadre="${f}"`),typeof x<"u"&&(Ie+=` marge="${x}"`),typeof w<"u"&&(Ie+=` marge_gauche="${w}"`),typeof Z<"u"&&(Ie+=` marge_droite="${Z}"`),typeof ne<"u"&&(Ie+=` marge_bas="${ne}"`),typeof Ce<"u"&&(Ie+=` marge_haut="${Ce}"`),typeof u<"u"&&(Ie+=` taille="${u}"`);let Dt=`<action abscisse="${this.x(r)}" ordonnee="${this.y(r)}" id="${this.idIEP}" mouvement="creer" objet="texte" />`;return Dt+=`
<action ${$e} couleur="${l}" texte="${t}" id="${this.idIEP}" mouvement="ecrire" objet="texte" ${Ie} tempo="${a}" />`,this.liste_script.push(Dt),this.idIEP}textePosition(t,r,a,s){const l=point(r,a);return this.textePoint(t,l,s)}longueurSegment(t,r,a,s){const l=longueur(t,r),u=vecteur(t,r),_=vecteur(-u.y*a/norme(u),u.x*a/norme(u)),m=translation(translation(pointSurSegment(t,r,l/2-.7),_),vecteur(0,1));return this.textePoint(`${l} cm`,m,s)}mesureAngle(t,r,a){const s=angleOriente(t,r,a),l=translation(homothetie(rotation(t,r,s/2),r,1.3/longueur(r,t)),vecteur(-.2,.5));return this.textePoint(Math.abs(s)+"°",l)}texteMasquer(...t){const r=a=>a.slice(0,-1);if(Number.isNaN(t[t.length-1]))if(t[t.length-1].tempo!==void 0){const a=t[t.length-1].tempo;for(const s of r(t))this.liste_script.push(`<action mouvement="masquer" objet="texte" id="${s}" tempo="${a}" />`)}else for(const a of r(t))this.liste_script.push(`<action mouvement="masquer" objet="texte" id="${a}" tempo="0" />`);else for(const a of t)this.liste_script.push(`<action mouvement="masquer" objet="texte" id="${a}" tempo="0" />`)}texteChangeCouleur(t,r,a){this.liste_script.push(`
<action couleur="${a}" texte="${t}" id="${r}" mouvement="ecrire" objet="texte" />`)}pause(){this.liste_script.push('<action mouvement="pause" />')}segmentCodage(t,r={},a={}){let s,l={};t.typeObjet==="segment"?(s=t,l=r):(s=segment(t,r),l={...a}),l.tempo===void 0&&(l.tempo=this.tempo),l.couleur===void 0&&(l.couleur=this.couleurCodage),l.codage===void 0&&(l.codage="\\"),this.idIEP++;const u=this.idIEP,_=milieu(s.extremite1,s.extremite2),m=`<action abscisse="${this.x(_)}" ordonnee="${this.y(_)}" forme="${l.codage}"  couleur="${l.couleur}" id="${u}" tempo="${l.tempo}" mouvement="creer" objet="longueur" />`;return this.liste_script.push(m),u}segmentCodageMasquer(t,{tempo:r=this.tempo}={}){this.liste_script.push(`<action id="${t}" mouvement="masquer" objet="longueur" tempo="${r}" />`)}segmentCodageMontrer(t,{tempo:r=this.tempo}={}){this.liste_script.push(`<action id="${t}" mouvement="montrer" objet="longueur" tempo="${r}" />`)}codageAngleDroit(t,r,a,s={}){this.crayonMontrer(),s.longueur===void 0&&(s.longueur=.3),s.couleur===void 0&&(s.couleur=this.couleurCodage);const l=pointSurSegment(r,a,s.longueur),u=pointSurSegment(r,t,s.longueur),_=translation2Points(u,r,l),m={...s};m.tempo=0;const g=this.trait(l,_,m),f=this.trait(_,u,s);return[g,f]}codageAngleDroitMasquer(t,{tempo:r=0}={}){this.traitMasquer(t[0],{tempo:r}),this.traitMasquer(t[1],{tempo:r})}angleCodage(t,r,a,{couleur:s=this.couleurCodage,codage:l="plein",rayon:u=1,tempo:_=this.tempo}={}){const m=t.id+"_"+r.id+"_"+a.id,g=droite(r,t),f=droite(r,a);g.isVisible=!1,f.isVisible=!1;const x=-g.angleAvecHorizontale,w=-f.angleAvecHorizontale,Z=`<action abscisse="${this.x(r)}" ordonnee="${this.y(r)}" rayon="${u*30}" angle1="${x}" angle2="${w}" forme="${l}"  couleur="${s}" id="${m}" tempo="${_}" mouvement="creer" objet="angle" />`;return this.liste_script.push(Z),m}angleCodageMasquer(t,r,a,{tempo:s=0}={}){const l=t.id+"_"+r.id+"_"+a.id;this.liste_script.push(`<action id="${l}" mouvement="masquer" objet="angle" tempo="${s}" />`)}angleCodageMontrer(t,r,a,{tempo:s=0}={}){const l=t.id+"_"+r.id+"_"+a.id;this.liste_script.push(`<action id="${l}" mouvement="montrer" objet="angle" tempo="${s}" />`)}image(t,r=point(0,0)){this.idIEP++;let a;return a=`<action id="${this.idIEP}" url="${t}" mouvement="chargement" objet="image" />`,a+=`
<action abscisse="${this.x(r)}" ordonnee="${this.y(r)}" id="${this.idIEP}" mouvement="translation" objet="image" vitesse="100000" />`,this.liste_script.push(a),this.idIEP}}Alea2iep.prototype.symetrieAxialePoint=symetrieAxialePoint;Alea2iep.prototype.parallelogramme3sommetsConsecutifs=parallelogramme3sommetsConsecutifs;Alea2iep.prototype.parallelogramme2sommetsConsecutifsCentre=parallelogramme2sommetsConsecutifsCentre;Alea2iep.prototype.parallelogrammeAngleCentre=parallelogrammeAngleCentre;Alea2iep.prototype.partageSegment=partageSegment;Alea2iep.prototype.paralleleRegleEquerre2points3epoint=paralleleRegleEquerre2points3epoint;Alea2iep.prototype.paralleleRegleEquerre2points3epoint=paralleleRegleEquerre2points3epoint;Alea2iep.prototype.perpendiculaireRegleEquerre2points3epoint=perpendiculaireRegleEquerre2points3epoint;Alea2iep.prototype.perpendiculaireRegleEquerreDroitePoint=perpendiculaireRegleEquerreDroitePoint;Alea2iep.prototype.perpendiculaireRegleEquerrePointSurLaDroite=perpendiculaireRegleEquerrePointSurLaDroite;Alea2iep.prototype.perpendiculaireCompasPointSurLaDroite=perpendiculaireCompasPointSurLaDroite;Alea2iep.prototype.perpendiculaireCompasPoint=perpendiculaireCompasPoint;Alea2iep.prototype.paralleleRegleEquerreDroitePointAvecDescription=paralleleRegleEquerreDroitePointAvecDescription;Alea2iep.prototype.paralleleAuCompasAvecDescription=paralleleAuCompasAvecDescription;Alea2iep.prototype.paralleleAuCompas=paralleleAuCompas;Alea2iep.prototype.mediatriceAuCompas=mediatriceAuCompas;Alea2iep.prototype.mediatriceRegleEquerre=mediatriceRegleEquerre;Alea2iep.prototype.hauteur=hauteur;Alea2iep.prototype.mediane=mediane;Alea2iep.prototype.bissectriceAuCompas=bissectriceAuCompas;Alea2iep.prototype.cercleCirconscrit=cercleCirconscrit;Alea2iep.prototype.triangle3longueurs=triangle3longueurs;Alea2iep.prototype.triangleRectangleCoteHypotenuse=triangleRectangleCoteHypotenuse;Alea2iep.prototype.triangleRectangle2Cotes=triangleRectangle2Cotes;Alea2iep.prototype.triangle1longueur2angles=triangle1longueur2angles;Alea2iep.prototype.triangle2longueurs1angle=triangle2longueurs1angle;Alea2iep.prototype.triangleEquilateral2Sommets=triangleEquilateral2Sommets;Alea2iep.prototype.triangleEquilateral=triangleEquilateral;Alea2iep.prototype.carre1point1longueur=carre1point1longueur;Alea2iep.prototype.rotationPoint=rotationPoint;Alea2iep.prototype.translationPoint=translationPoint;Alea2iep.prototype.demiTourPoint=demiTourPoint;Alea2iep.prototype.homothetiePoint=homothetiePoint;Alea2iep.prototype.rotationPolygone=rotationPolygone;Alea2iep.prototype.symetrieAxialePolygone=symetrieAxialePolygone;Alea2iep.prototype.translationPolygone=translationPolygone;Alea2iep.prototype.demiTourPolygone=demiTourPolygone;Alea2iep.prototype.homothetiePolygone=homothetiePolygone;class ElementInstrumenpoche extends HTMLElement{constructor(){super();const t=this.getAttribute("id"),r=StoreIep.getXml(t),a=document.createElement("div");this.appendChild(a),loadIep(a,r)}}class ElementButtonInstrumenpoche extends HTMLElement{constructor(){super();const t=this.getAttribute("id"),r=StoreIep.getXml(t),a=document.createElement("div"),s=document.createElement("button");a.style.display="none",s.innerText="Montrer l'animation",s.classList.add("block","px-6","py-2.5","mr-10","my-5","ml-6","bg-coopmaths","text-white","font-medium","text-xs","leading-tight","uppercase","rounded","shadow-md","transform","hover:scale-110","hover:bg-coopmaths-dark","hover:shadow-lg","focus:bg-coopmaths-dark","focus:shadow-lg","focus:outline-none","focus:ring-0","active:bg-coopmaths-dark","active:shadow-lg","transition","duration-150","ease-in-out","checkReponses"),s.onclick=function(){a.style.display==="none"?(a.style.display="block",s.innerText="Cacher l'animation",loadIep(a,r)):(a.style.display="none",s.innerText="Montrer l'animation")},this.appendChild(s),this.appendChild(a)}}async function loadIep(n,t,r={}){try{await iepLoadPromise(n,t,r)}catch{}}function exportQcmAmc(n,t){let r=`${n.id}/${n.sup?"S:"+n.sup:""}${n.sup2?"S2:"+n.sup2:""}${n.sup3?"S3:"+n.sup3:""}${n.sup4?"S4:"+n.sup4:""}`;r[r.length-1]==="/"&&(r=r.slice(0,-1));const a=n.autoCorrection,s=n.titre,l=n.amcType;let u="",_=0,m,g,f="reponseshoriz",x=!1,w=!1,Z,Ce,ne=!0,$e;for(let Ie=0;Ie<a.length;Ie++){a[Ie]===void 0&&(a[Ie]={}),a[Ie].options!==void 0&&(a[Ie].options.vertical===void 0?f="reponseshoriz":f="reponses",a[Ie].options.ordered&&(w=!0),a[Ie].options.lastChoice!==void 0&&(x=a[Ie].options.lastChoice));let Dt=0;switch(a[Ie].reponse!==void 0&&(Array.isArray(a[Ie].reponse.valeur)||(a[Ie].reponse.valeur=[a[Ie].reponse.valeur]),Dt=a[Ie].reponse.valeur[0],typeof Dt=="string"&&(Dt=Dt.replace(/\s/g,"").replaceAll(",","."))),l){case"qcmMono":case"qcmMult":elimineDoublons(a[Ie].propositions)&&console.log("doublons trouvés"),a[Ie].enonce===void 0&&(a[Ie].enonce=n.listeQuestions[Ie]),u+=`\\element{${r}}{
 `,u+=`\\begin{${l==="qcmMono"?"question":"questionmult"}}{${r}/${lettreDepuisChiffre(t+1)}${_+10}} 
 `,u+=`${a[Ie].enonce} 
 `,u+=`	\\begin{${f}}`,w&&(u+="[o]"),u+=`
 `;for(let Lr=0;Lr<a[Ie].propositions.length;Lr++)x>0&&Lr===x&&(u+=`		\\lastchoices
`),a[Ie].propositions[Lr].statut?u+=`		\\bonne{${a[Ie].propositions[Lr].texte}}
 `:u+=`		\\mauvaise{${a[Ie].propositions[Lr].texte}}
 `;u+=`	\\end{${f}}
 `,u+=`\\end{${l==="qcmMono"?"question":"questionmult"}}
 }
 `,_++;break;case"AMCOpen":a[Ie].enonce===void 0&&(a[Ie].enonce=n.listeQuestions[Ie]),a[Ie].propositions===void 0&&(a[Ie].propositions=[{texte:n.listeCorrections[Ie],statut:"3"}]),u+=`\\element{${r}}{
 `,u+=`	\\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,u+=`		${a[Ie].enonce} 
 `,u+=`		\\explain{${a[Ie].propositions[0].texte}}
`,u+=`		\\notation{${a[Ie].propositions[0].statut}}`,a[Ie].propositions[0].sanscadre!==void 0?u+=`[${a[Ie].propositions[0].sanscadre}]`:u+="[false]",a[Ie].propositions[0].pointilles!==void 0?u+=`[${a[Ie].propositions[0].pointilles}]`:u+="[true]",u+=`
	\\end{question}
 }
`,_++;break;case"AMCNum":if(a[Ie].enonce===void 0&&(a[Ie].enonce=n.listeQuestions[Ie]),a[Ie].propositions===void 0&&(a[Ie].propositions=[{texte:n.listeCorrections[Ie],statut:""}]),Array.isArray(a[Ie].reponse.valeur)||(a[Ie].reponse.valeur=[a[Ie].reponse.valeur]),a[Ie].reponse.param.basePuissance!==void 0){a[Ie].reponse.param.exposantPuissance===void 0&&(a[Ie].reponse.param.exposantPuissance=1e3),u+=`\\element{${r}}{
`,u+=`\\begin{multicols}{2}
`,u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,u+=`${a[Ie].enonce} 
 \\vspace{0.25cm} 
`,a[Ie].propositions!==void 0&&(u+=`\\explain{${a[Ie].propositions[0].texte}}
`);let Lr=0;a[Ie].reponse.param.baseNbChiffres!==void 0?Lr=Math.max(a[Ie].reponse.param.baseNbChiffres,nombreDeChiffresDansLaPartieEntiere(a[Ie].reponse.param.basePuissance)):Lr=nombreDeChiffresDansLaPartieEntiere(a[Ie].reponse.param.basePuissance);let ec=0;a[Ie].reponse.param.exposantNbChiffres!==void 0?ec=Math.max(a[Ie].reponse.param.exposantNbChiffres,nombreDeChiffresDansLaPartieEntiere(a[Ie].reponse.param.exposantPuissance)):ec=nombreDeChiffresDansLaPartieEntiere(a[Ie].reponse.param.exposantPuissance),u+=`
`,u+=`Base
 \\AMCnumericChoices{${a[Ie].reponse.param.basePuissance}}{digits=${Lr},decimals=0,sign=${a[Ie].reponse.param.basePuissance<0||a[Ie].reponse.param.signe?"true":"false"},approx=0,`,a[Ie].reponse.param.aussiCorrect!==void 0&&(u+=`alsocorrect=${a[Ie].reponse.param.aussiCorrect},`),u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${a[Ie].reponse.param.scoreapprox||.667},scoreexact=1,Tpoint={,}}
`,u+=`\\end{questionmultx}
`,u+="\\AMCquestionNumberfalse\\def\\AMCbeginQuestion#1#2{}",u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+1}} 
 `,u+="\\vspace{18pt}",u+=`Exposant
 \\AMCnumericChoices{${a[Ie].reponse.param.exposantPuissance}}{digits=${ec},decimals=0,sign=true,approx=0,`,u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${a[Ie].reponse.param.scoreapprox||.667},scoreexact=1,Tpoint={,}}
`,u+=`\\end{questionmultx}
\\end{multicols}
}

`,_+=2}else if(Dt.num!==void 0){u+=`\\element{${r}}{
`,u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,u+=`${a[Ie].enonce} 
`,a[Ie].propositions!==void 0&&(u+=`\\explain{${a[Ie].propositions[0].texte}}
`);let Lr=0;a[Ie].reponse.param.digitsNum!==void 0?Lr=Math.max(a[Ie].reponse.param.digitsNum,nombreDeChiffresDansLaPartieEntiere(Dt.num)):a[Ie].reponse.param.digits!==void 0?Lr=Math.max(a[Ie].reponse.param.digits,nombreDeChiffresDansLaPartieEntiere(Dt.num)):Lr=nombreDeChiffresDansLaPartieEntiere(Dt.num);let ec=0;a[Ie].reponse.param.digitsDen!==void 0?ec=Math.max(a[Ie].reponse.param.digitsDen??0,nombreDeChiffresDansLaPartieEntiere(Dt.den)):a[Ie].reponse.param.digits!==void 0?ec=Math.max(a[Ie].reponse.param.digits,nombreDeChiffresDansLaPartieEntiere(Dt.den)):ec=nombreDeChiffresDansLaPartieEntiere(Dt.den);let ys=!0;a[Ie].reponse.param.signe!==void 0?ys=a[Ie].reponse.param.signe:ys=Dt.signe===-1;let tc,nc;Dt.num>0?(tc=arrondi(Dt.num+Dt.den/10**ec,8),nc=arrondi(Dt.num+Dt.den/10**nombreDeChiffresDansLaPartieEntiere(Dt.den),8)):(tc=arrondi(Dt.num-Dt.den/10**ec,8),nc=arrondi(Dt.num-Dt.den/10**nombreDeChiffresDansLaPartieEntiere(Dt.den),8)),u+=`\\AMCnumericChoices{${tc}}{digits=${Lr+ec},decimals=${ec},sign=${ys},approx=0,`,u+=`borderwidth=0pt,backgroundcol=lightgray,scoreexact=1,Tpoint={\\vspace{0.5cm} \\vrule height 0.4pt width 5.5cm },alsocorrect=${nc}}
`,u+=`\\end{questionmultx}
}

`,_+=2}else{let Lr;if(a[Ie].reponse.param.exposantNbChiffres!==void 0&&a[Ie].reponse.param.exposantNbChiffres!==0?(Z=Math.max(nombreDeChiffresDansLaPartieDecimale(decimalToScientifique(Dt)[0]),a[Ie].reponse.param.decimals??0),Ce=Math.max(nombreDeChiffresDansLaPartieEntiere(decimalToScientifique(Dt)[0]),isNaN(a[Ie].reponse.param.digits-Z)?0:a[Ie].reponse.param.digits-Z),Lr=Math.max(nombreDeChiffresDansLaPartieEntiere(decimalToScientifique(Dt)[1]),a[Ie].reponse.param.exposantNbChiffres??1)):(Z=Math.max(nombreDeChiffresDansLaPartieDecimale(Dt),a[Ie].reponse.param.decimals??0),Ce=Math.max(nombreDeChiffresDansLaPartieEntiere(Dt),isNaN(a[Ie].reponse.param.digits-Z)?0:a[Ie].reponse.param.digits-Z)),a[Ie].reponse.param.milieuIntervalle!==void 0){const ec=a[Ie].reponse.param.milieuIntervalle-Dt;Z=Math.max(Z,nombreDeChiffresDansLaPartieDecimale(ec)),Dt=a[Ie].reponse.param.milieuIntervalle,a[Ie].reponse.param.approx=a[Ie].reponse.param.approx==="intervalleStrict"?ec*10**Z-1:ec*10**Z}u+=`\\element{${r}}{
 `,u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,u+=`${a[Ie].enonce} 
 `,a[Ie].propositions!==void 0&&(u+=`\\explain{${a[Ie].propositions[0].texte}}
`),a[Ie].reponse.textePosition==="left"&&(u+=`${a[Ie].reponse.texte} `),u+=`\\AMCnumericChoices{${Dt}}{digits=${Ce+Z},decimals=${Z},sign=${a[Ie].reponse.param.signe},`,a[Ie].reponse.param.aussiCorrect!==void 0&&(u+=`alsocorrect=${a[Ie].reponse.param.aussiCorrect},`),a[Ie].reponse.param.exposantNbChiffres!==void 0&&a[Ie].reponse.param.exposantNbChiffres!==0&&(u+=`exponent=${Lr},exposign=${a[Ie].reponse.param.exposantSigne},`),a[Ie].reponse.param.approx!==void 0&&a[Ie].reponse.param.approx!==0&&(u+=`approx=${a[Ie].reponse.param.approx},`,u+=`scoreapprox=${a[Ie].reponse.param.scoreapprox||.667},`),a[Ie].reponse.param.vertical!==void 0&&a[Ie].reponse.param.vertical&&(u+=`vertical=${a[Ie].reponse.param.vertical},`),a[Ie].reponse.param.strict!==void 0&&a[Ie].reponse.param.strict&&(u+=`strict=${a[Ie].reponse.param.strict},`),a[Ie].reponse.param.vhead!==void 0&&a[Ie].reponse.param.vhead&&(u+=`vhead=${a[Ie].reponse.param.vhead},`),a[Ie].reponse.param.tpoint!==void 0&&a[Ie].reponse.param.tpoint?u+=`Tpoint={${a[Ie].reponse.param.tpoint}},`:u+="Tpoint={,},",u+="borderwidth=0pt,backgroundcol=lightgray,scoreexact=1} ",a[Ie].reponse.textePosition==="right"&&(u+=`${a[Ie].reponse.texte}
`),u+=`\\end{questionmultx}
 }

`,_++}break;case"AMCOpenNum":n.autoCorrection[Ie].enonce===void 0&&(n.autoCorrection[Ie].enonce=n.listeQuestions[Ie]),n.autoCorrection[Ie].propositions===void 0&&(n.autoCorrection[Ie].propositions=[{texte:n.listeCorrections[Ie],statut:2,feedback:""}]),Array.isArray(a[Ie].reponse.valeur)||(a[Ie].reponse.valeur=[a[Ie].reponse.valeur]),u+=`\\element{${r}}{
 `,u+=`\\begin{minipage}[b]{0.8 \\linewidth}
`,u+=`\\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}a} 
 `,u+=`${a[Ie].enonce} 
 `,a[Ie].propositions!==void 0&&(u+=`\\explain{${a[Ie].propositions[0].texte}}
`),u+=`		\\notation{${a[Ie].propositions[0].statut}}`,isNaN(a[Ie].propositions[0].sanscadre)||(u+=`[${a[Ie].propositions[0].sanscadre}]`),u+=`
	\\end{question}
\\end{minipage}
`,a[Ie].reponse.param.exposantNbChiffres!==void 0&&a[Ie].reponse.param.exposantNbChiffres===0&&(Z=nombreDeChiffresDansLaPartieDecimale(Dt),Ce=nombreDeChiffresDansLaPartieEntiere(Dt),a[Ie].reponse.param.digits==null||a[Ie].reponse.param.digits===0?(a[Ie].reponse.param.decimals=Z,a[Ie].reponse.param.digits=Z+Ce):a[Ie].reponse.param.decimals===void 0&&(a[Ie].reponse.param.decimals=Z,a[Ie].reponse.param.digits=Math.max(a[Ie].reponse.param.digits,Z+Ce)),a[Ie].reponse.param.exposantSigne===void 0&&(a[Ie].reponse.param.exposantSigne=!1)),a[Ie].reponse.param.signe===void 0&&(a[Ie].reponse.param.signe=!1),u+=`\\begin{minipage}[b]{0.2 \\linewidth}
`,u+="\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse",u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}b} 
 `,u+=`\\AMCnumericChoices{${Dt}}{digits=${a[Ie].reponse.param.digits},decimals=${a[Ie].reponse.param.decimals},sign=${a[Ie].reponse.param.signe},`,a[Ie].reponse.param.exposantNbChiffres===0&&(u+=`exponent=${a[Ie].reponse.param.exposantNbChiffres},exposign=${a[Ie].reponse.param.exposantSigne},`),a[Ie].reponse.param.approx!==0&&a[Ie].reponse.param.approx!==void 0&&(u+=`approx=${a[Ie].reponse.param.approx},`),a[Ie].reponse.param.vertical!==void 0&&a[Ie].reponse.param.vertical&&(u+=`vertical=${a[Ie].reponse.param.vertical},`),a[Ie].reponse.param.strict!==void 0&&a[Ie].reponse.param.strict&&(u+=`strict=${a[Ie].reponse.param.strict},`),a[Ie].reponse.param.vhead!==void 0&&a[Ie].reponse.param.vhead&&(u+=`vhead=${a[Ie].reponse.param.vhead},`),a[Ie].reponse.param.tpoint!==void 0&&a[Ie].reponse.param.tpoint?u+=`Tpoint={${a[Ie].reponse.param.tpoint}},`:u+="Tpoint={,},",u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${a[Ie].reponse.param.scorapprox||.667},scoreexact=1,vertical=true}
`,u+=`\\end{questionmultx}
\\end{minipage}}
`,_++;break;case"AMCOpenNum✖︎2":n.autoCorrection[Ie].enonce===void 0&&(n.autoCorrection[Ie].enonce=n.listeQuestions[Ie]),n.autoCorrection[Ie].propositions===void 0&&(n.autoCorrection[Ie].propositions=[{texte:n.listeCorrections[Ie],statut:"",feedback:""}]),Array.isArray(a[Ie].reponse.valeur)||(a[Ie].reponse.valeur=[a[Ie].reponse.valeur]),Array.isArray(a[Ie].reponse2.valeur)||(a[Ie].reponse2.valeur=[a[Ie].reponse2.valeur]),u+=`\\element{${r}}{
 `,u+=`\\begin{minipage}[b]{0.7 \\linewidth}
`,u+=`\\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}a} 
 `,u+=`${a[Ie].enonce} 
 `,a[Ie].propositions!==void 0&&(u+=`\\explain{${a[Ie].propositions[0].texte}}
`),u+=`\\notation{${a[Ie].propositions[0].statut}}
`,u+=`\\end{question}
\\end{minipage}
`,u+="\\begin{minipage}[b]{0.05 \\linewidth}\\hspace{6pt}\\end{minipage}",m=a[Ie].reponse.valeur[0],Z=nombreDeChiffresDansLaPartieDecimale(m),Ce=nombreDeChiffresDansLaPartieEntiere(m),a[Ie].reponse.param.digits===0||a[Ie].reponse.param.digits==null?(a[Ie].reponse.param.decimals=Z,a[Ie].reponse.param.digits=Z+Ce):a[Ie].reponse.param.decimals===void 0&&(a[Ie].reponse.param.decimals=Z,a[Ie].reponse.param.digits=Math.max(a[Ie].reponse.param.digits,Z+Ce)),u+=`\\begin{minipage}[b]{0.15 \\linewidth}
`,u+="\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse",u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}b} 
 `,u+=`${a[Ie].reponse.texte}
`,u+=`\\AMCnumericChoices{${m}}{digits=${a[Ie].reponse.param.digits},decimals=${a[Ie].reponse.param.decimals},sign=${a[Ie].reponse.param.signe},`,a[Ie].reponse.param.exposantNbChiffres!==0&&(u+=`exponent=${a[Ie].reponse.param.exposantNbChiffres},exposign=${a[Ie].reponse.param.exposantSigne},`),a[Ie].reponse.param.approx!==0&&(u+=`approx=${a[Ie].reponse.param.approx},`),u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${a[Ie].reponse.param.scoreapprox||.667},scoreexact=1,Tpoint={,},vertical=true}
`,u+=`\\end{questionmultx}
\\end{minipage}
`,u+=`\\begin{minipage}[b]{0.15 \\linewidth}
`,u+="\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse",u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}c} 
 `,g=a[Ie].reponse2.valeur[0],Z=nombreDeChiffresDansLaPartieDecimale(g),Ce=nombreDeChiffresDansLaPartieEntiere(g),a[Ie].reponse2.param.digits===0||a[Ie].reponse2.param.digits==null?(a[Ie].reponse2.param.decimals=Z,a[Ie].reponse2.param.digits=Z+Ce):a[Ie].reponse2.param.decimals===void 0&&(a[Ie].reponse2.param.decimals=Z,a[Ie].reponse2.param.digits=Math.max(a[Ie].reponse2.param.digits,Z+Ce)),u+=`${a[Ie].reponse2.texte}
`,u+=`\\AMCnumericChoices{${a[Ie].reponse2.valeur}}{digits=${a[Ie].reponse2.param.digits},decimals=${a[Ie].reponse2.param.decimals},sign=${a[Ie].reponse2.param.signe},`,a[Ie].reponse2.param.exposantNbChiffres!==0&&(u+=`exponent=${a[Ie].reponse2.param.exposantNbChiffres},exposign=${a[Ie].reponse2.param.exposantSigne},`),a[Ie].reponse2.approx!==0&&(u+=`approx=${a[Ie].reponse2.param.approx},`),u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${a[Ie].reponse.param.scoreapprox||.667},scoreexact=1,Tpoint={,},vertical=true}
`,u+=`\\end{questionmultx}
\\end{minipage}}
`,_++;break;default:if(l!=="AMCHybride"&&window.notify("exportQcmAMC : Il doit y avoir une erreur de type AMC, je ne connais pas le type : ",{type:l}),a[Ie].enonce===void 0&&(a[Ie].enonce=n.listeQuestions[Ie],a[Ie].enonce===void 0)||a[Ie].propositions===void 0)break;a[Ie].melange!==void 0&&(ne=a[Ie].melange),u+=`\\element{${r}}{
 `,typeof a[Ie].options<"u"&&a[Ie].options.multicolsAll&&(u+="\\setlength{\\columnseprule}{",a[Ie].options.barreseparation?u+="0.5":u+="0",u+=`pt}\\begin{multicols}{2}
`),typeof a[Ie].options<"u"&&a[Ie].options.numerotationEnonce&&(u+=`\\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}Enonce} \\QuestionIndicative `),a[Ie].enonceAGauche&&(u+=`\\noindent\\fbox{\\begin{minipage}{${a[Ie].enonceAGauche[0]}\\linewidth}
`),$e=`
 `,(a[Ie].enonceCentre!==void 0||a[Ie].enonceCentre)&&(u+="\\begin{center}",$e=""),a[Ie].enonceAvant===void 0?u+=`${a[Ie].enonce} `+$e:a[Ie].enonceAvant?u+=`${a[Ie].enonce} `+$e:a[Ie].enonceAvantUneFois!==void 0&&a[Ie].enonceAvantUneFois&&Ie===0&&(u+=`${a[Ie].enonce} `+$e),(a[Ie].enonceCentre!==void 0||a[Ie].enonceCentre)&&(u+="\\end{center}"),a[Ie].enonceAGauche&&(u+=`\\end{minipage}}
\\noindent\\begin{minipage}[t]{${a[Ie].enonceAGauche[1]}\\linewidth}
`),typeof a[Ie].options<"u"&&a[Ie].options.numerotationEnonce&&(u+=`\\end{question}
`),typeof a[Ie].options<"u"&&a[Ie].options.multicols&&!a[Ie].options.multicolsAll&&(u+="\\setlength{\\columnseprule}{",a[Ie].options.barreseparation?u+="0.5":u+="0",u+=`pt}\\begin{multicols}{2}
`);for(let Lr=0,ec,ys,tc,nc,ac;Lr<a[Ie].propositions.length;Lr++)switch(ys=a[Ie].propositions[Lr],ec=ys.type,tc=ys.propositions,ec){case"qcmMono":case"qcmMult":elimineDoublons(tc)&&console.log("doublons trouvés"),ys.options!==void 0&&(ys.options.vertical===void 0?f="reponseshoriz":f="reponses",ys.options.ordered&&(w=!0),ys.options.lastChoice!==void 0&&(x=ys.options.lastChoice)),u+=`${Lr>0&&(ec==="qcmMono"||ec==="qcmMult"&&typeof a[Ie].options<"u"&&!a[Ie].options.avecSymboleMult)?"\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse":""}`,u+=typeof a[Ie].options<"u"&&a[Ie].options.numerotationEnonce?`
 \\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse`:"",u+=`\\begin{${ec==="qcmMono"?"question":"questionmult"}}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,ys.enonce!==void 0&&(u+=ys.enonce+`
`),u+=`	\\begin{${f}}`,w&&(u+="[o]"),u+=`
 `;for(let sc=0;sc<tc.length;sc++)x>0&&sc===x&&(u+=`		\\lastchoices
`),ys.propositions[sc].statut?u+=`		\\bonne{${tc[sc].texte}}
 `:u+=`		\\mauvaise{${tc[sc].texte}}
 `;u+=`	\\end{${f}}
 `,u+=`\\end{${ec==="qcmMono"?"question":"questionmult"}}
`,_++;break;case"AMCNum":if(nc=ys.propositions[0].reponse,Array.isArray(nc.valeur)||(nc.valeur=[nc.valeur]),nc.param.basePuissance!==void 0){nc.param.exposantPuissance===void 0&&(nc.param.exposantPuissance=1e3),Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion&&(u+=`\\begin{questionmultx}{Enonce-${r}/${lettreDepuisChiffre(t+1)}} 
 `,u+=`${a[Ie].enonce} 
`,u+="\\end{questionmultx}"),u+=`\\begin{multicols}{2}
`,u+=`${Lr>0||Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion?"\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse":""}\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,tc!==void 0&&(u+=`\\explain{${tc[0].texte}}
`),u+=`${nc.texte}
 \\vspace{0.25cm} 
`;let sc=0;nc.param.baseNbChiffres!==void 0?sc=Math.max(nc.param.baseNbChiffres,nombreDeChiffresDansLaPartieEntiere(nc.param.basePuissance)):sc=nombreDeChiffresDansLaPartieEntiere(nc.param.basePuissance);let cc=0;nc.param.exposantNbChiffres!==void 0?cc=Math.max(nc.param.exposantNbChiffres,nombreDeChiffresDansLaPartieEntiere(nc.param.exposantPuissance)):cc=nombreDeChiffresDansLaPartieEntiere(nc.param.exposantPuissance),u+=`
`,u+=`Base
 \\AMCnumericChoices{${nc.param.basePuissance}}{digits=${sc},decimals=0,sign=${nc.param.basePuissance<0?"true":"false"},approx=0,`,u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${nc.param.scoreapprox||.667},scoreexact=1,Tpoint={,}}
`,u+=`\\end{questionmultx}
`,u+="\\AMCquestionNumberfalse\\def\\AMCbeginQuestion#1#2{}",u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+1}} 
 `,u+="\\vspace{18pt}",u+=`Exposant
 \\AMCnumericChoices{${nc.param.exposantPuissance}}{digits=${cc},decimals=0,sign=true,approx=0,`,u+=`borderwidth=0pt,backgroundcol=lightgray,scoreapprox=${nc.param.scoreapprox||.667},scoreexact=1,Tpoint={,}}
`,u+=`\\end{questionmultx}\\end{multicols}
`,_+=2}else if(nc.valeur[0].num!==void 0){Dt=nc.valeur[0],Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion&&(u+=`\\begin{questionmultx}{Enonce-${r}/${lettreDepuisChiffre(t+1)}} 
 `,u+=`${a[Ie].enonce} 
`,u+="\\end{questionmultx}"),u+=`${Lr>0||Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion?"\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse":""}\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,tc[0].reponse.alignement!==void 0&&(u+="\\begin{",u+=`${tc[0].reponse.alignement}}`),Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion||(u+=`${a[Ie].enonce} 
`),tc!==void 0&&(u+=`\\explain{${tc[0].texte}}
`),u+=`${nc.texte}
`;let sc=0;nc.param.digitsNum!==void 0?sc=Math.max(nc.param.digitsNum,nombreDeChiffresDansLaPartieEntiere(Dt.num)):nc.param.digits!==void 0?sc=Math.max(nc.param.digits,nombreDeChiffresDansLaPartieEntiere(Dt.num)):sc=nombreDeChiffresDansLaPartieEntiere(Dt.num);let cc=0;nc.param.digitsDen!==void 0?cc=Math.max(nc.param.digitsDen,nombreDeChiffresDansLaPartieEntiere(Dt.den)):nc.param.digits!==void 0?cc=Math.max(nc.param.digits,nombreDeChiffresDansLaPartieEntiere(Dt.den)):cc=nombreDeChiffresDansLaPartieEntiere(Dt.den);let uc=!0;nc.param.signe!==void 0?uc=nc.param.signe:uc=Dt.num*Dt.den<0;let lc,e0;nc.param.aussiCorrect!=null&&nc.param.aussiCorrect.num!=null&&nc.param.aussiCorrect.den!=null?(Dt.num>0?lc=arrondi(Dt.num+Dt.den/10**cc,cc):lc=arrondi(Dt.num-Dt.den/10**cc,cc),nc.param.aussiCorrect.num>0?e0=arrondi(nc.param.aussiCorrect.num+nc.param.aussiCorrect.den/10**cc,cc):e0=arrondi(nc.param.aussiCorrect.num-nc.param.aussiCorrect.den/10**cc)):Dt.num>0?(lc=arrondi(Dt.num+Dt.den/10**cc,cc),e0=arrondi(Dt.num+Dt.den/10**nombreDeChiffresDansLaPartieEntiere(Dt.den),8)):(lc=arrondi(Dt.num-Dt.den/10**cc,cc),e0=arrondi(Dt.num-Dt.den/10**nombreDeChiffresDansLaPartieEntiere(Dt.den),8)),u+=`\\AMCnumericChoices{${lc}}{digits=${sc+cc},decimals=${cc},sign=${uc},approx=0,`,u+=`borderwidth=0pt,backgroundcol=lightgray,scoreexact=1,Tpoint={\\vspace{0.5cm} \\vrule height 0.4pt width 5.5cm },alsocorrect=${e0}}
`,tc[0].reponse.alignement!==void 0&&(u+="\\end{",u+=`${tc[0].reponse.alignement}}`),u+=`\\end{questionmultx}
`,_+=2}else{if(nc.param.exposantNbChiffres!==void 0&&nc.param.exposantNbChiffres!==0?(Z=Math.max(nombreDeChiffresDansLaPartieDecimale(decimalToScientifique(nc.valeur[0])[0]),nc.param.decimals??0),Ce=Math.max(nombreDeChiffresDansLaPartieEntiere(decimalToScientifique(nc.valeur[0])[0]),isNaN(nc.param.digits-Z)?0:nc.param.digits-Z),ac=Math.max(nombreDeChiffresDansLaPartieEntiere(decimalToScientifique(nc.valeur[0])[1]),nc.param.exposantNbChiffres??0)):(Z=Math.max(nombreDeChiffresDansLaPartieDecimale(nc.valeur[0]),nc.param.decimals??0),Ce=Math.max(nombreDeChiffresDansLaPartieEntiere(nc.valeur[0]),isNaN(nc.param.digits-Z)?nombreDeChiffresDe(nc.valeur[0]-Z):nc.param.digits-Z)),nc.param.milieuIntervalle!==void 0){const sc=nc.param.milieuIntervalle-Dt;Z=Math.max(Z,nombreDeChiffresDansLaPartieDecimale(sc)),Dt=nc.param.milieuIntervalle,nc.param.approx=a[Ie].reponse.param.approx==="intervalleStrict"?sc*10**Z-1:sc*10**Z}Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion&&(u+=`\\begin{questionmultx}{Enonce-${r}/${lettreDepuisChiffre(t+1)}} 
 `,u+=`${a[Ie].enonce} 
`,u+="\\end{questionmultx}"),typeof tc[0].multicolsBegin<"u"&&tc[0].multicolsBegin&&(u+="\\setlength{\\columnseprule}{",a[Ie].options.barreseparation!==void 0&&a[Ie].options.barreseparation?u+="0.5":u+="0",u+=`pt}\\begin{multicols}{2}
`),(Lr>0||Lr===0&&a[Ie].enonceApresNumQuestion!==void 0&&a[Ie].enonceApresNumQuestion)&&(u+=`
\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse`),u+=`\\begin{questionmultx}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
 `,tc!==void 0&&(u+=`\\explain{${tc[0].texte}}
`),u+=`${nc.texte}
`,tc[0].reponse.alignement!==void 0&&(u+="\\begin{",u+=`${tc[0].reponse.alignement}}`),u+=`\\AMCnumericChoices{${nc.valeur[0]}}{digits=${Ce+Z},decimals=${Z},sign=${nc.param.signe},`,nc.param.exposantNbChiffres!==void 0&&nc.param.exposantNbChiffres!==0&&(u+=`exponent=${ac},exposign=${nc.param.exposantSigne},`),nc.param.approx!==void 0&&nc.param.approx!==0&&(u+=`approx=${nc.param.approx},`),nc.param.vertical!==void 0&&nc.param.vertical&&(u+=`vertical=${nc.param.vertical},`),nc.param.strict!==void 0&&nc.param.strict&&(u+=`strict=${nc.param.strict},`),nc.param.vhead!==void 0&&nc.param.vhead&&(u+=`vhead=${nc.param.vhead},`),nc.param.aussiCorrect!==void 0&&nc.param.aussiCorrect&&(u+=`alsocorrect=${nc.param.aussiCorrect},`),nc.param.tpoint!==void 0&&nc.param.tpoint?u+=`Tpoint={${nc.param.tpoint}},`:u+="Tpoint={,},",u+=`borderwidth=0pt,backgroundcol=lightgray,scoreexact=1}
`,tc[0].reponse.alignement!==void 0&&(u+="\\end{",u+=`${tc[0].reponse.alignement}}`),u+=`\\end{questionmultx}
`,typeof tc[0].multicolsEnd<"u"&&tc[0].multicolsEnd&&(u+=`\\end{multicols}
`),_++}break;case"AMCOpen":typeof tc[0].multicolsBegin<"u"&&tc[0].multicolsBegin&&(u+="\\setlength{\\columnseprule}{",a[Ie].options!==void 0&&a[Ie].options.barreseparation!==void 0&&a[Ie].options.barreseparation?u+="0.5":u+="0",u+=`0pt}\\begin{multicols}{2}
`,Lr>0&&(u+="\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse")),tc[0].numQuestionVisible===void 0?u+=`	${Lr>0?"\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse":""}\\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
`:tc[0].numQuestionVisible?u+=`	${Lr>0?"\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse":""}\\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}} 
`:u+=`	\\def\\AMCbeginQuestion#1#2{}\\AMCquestionNumberfalse \\begin{question}{${r}/${lettreDepuisChiffre(t+1)}-${_+10}}\\QuestionIndicative 
`,tc[0].enonce!==void 0&&(u+=`	${tc[0].enonce}
`),u+=`		\\explain{${tc[0].texte}}
`,u+=`		\\notation{${tc[0].statut}}`,isNaN(tc[0].sanscadre)?u+="[false]":u+=`[${tc[0].sanscadre}]`,isNaN(tc[0].pointilles)?u+="[true]":u+=`[${tc[0].pointilles}]`,u+=`
`,u+=`	\\end{question}
`,typeof tc[0].multicolsEnd<"u"&&tc[0].multicolsEnd&&(u+=`\\end{multicols}
`),_++;break}typeof a[Ie].options<"u"&&(a[Ie].options.multicols||a[Ie].options.multicolsAll)&&(u+=`\\end{multicols}
`),a[Ie].enonceAGauche&&(u+=`\\end{minipage}
`),u+=`}
`;break}}return u=u.replaceAll("<br>",`\\\\
`),[u,r,n.nbQuestions,s,ne]}function creerDocumentAmc({exercices:n,nbQuestions:t=[],nbExemplaires:r=1,matiere:a="Mathématiques",titre:s="Evaluation",typeEntete:l="AMCcodeGrid",format:u="A4"}){let _=0,m,g;const f=[],x=randint(1,1e5),w=[],Z=[[]],Ce=[],ne=[];if(n.filter(uc=>uc.amcReady).length===0)return"";for(const uc of n)m=exportQcmAmc(uc,_),_++,g=w.indexOf(m[1]),g===-1?(w.push(m[1]),g=w.indexOf(m[1]),Z[g]=format(m[0]),typeof t[g]>"u"?(f[g]=!0,t[g]=m[2]):f[g]=!1,Ce[g]=m[3],ne[g]=m[4]):Z[g].indexOf(m[0])===-1&&(Z[g]+=m[0],f[g]&&(t[g]+=m[2]));let Ie=!1;const Dt=document.getElementById("impression_recto_verso");Dt!==null&&(Ie=Dt.checked);let Lr="",ec=`%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  %%%%% -I- PRÉAMBULE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
`;u==="A3"?ec+=`	 \\documentclass[${Ie?"twoside,":""}10pt,a3paper,landscape,french,svgnames]{article}
`:ec+=`	 \\documentclass[${Ie?"twoside,":""}10pt,a4paper,french,svgnames]{article}
`,ec+=`	
  %%%%%% EE : Le mettre le plus tôt possible pour éviter un Warning à la compilation
  \\RequirePackage{etex}	  % pour avoir plus de "registres" mémoires / tikz...
  %%%%% PACKAGES LANGUE %%%%%
  \\usepackage{babel} % sans option => langue définie dans la classe du document
   \\usepackage[T1]{fontenc}
   \\usepackage[utf8x]{inputenc}
   \\usepackage{lmodern}	        	% Choix de la fonte (Latin Modern de D. Knuth)
   \\usepackage{fp}
   \\usepackage{ProfCollege}

  %%%%%%%%%%%%%%%%%%%%% SPÉCIFICITÉS A.M.C. %%%%%%%%%%%%%%%%%%%%%%
  %\\usepackage[francais,bloc,completemulti]{automultiplechoice}
  %   remarque : avec completmulti => "aucune réponse ne convient" en +
   \\usepackage[francais,bloc,insidebox,nowatermark]{automultiplechoice} %//,insidebox
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

  %%%%% PACKAGES MISE EN PAGE %%%%%
   \\usepackage{multicol}
   \\usepackage{wrapfig}
   \\usepackage{fancybox}  % pour \\doublebox \\shadowbox  \\ovalbox \\Ovalbox
   \\usepackage{calc} 	% Calculs
   \\usepackage{enumerate}	% Pour modifier les numérotations
   \\usepackage{enumitem}
   \\usepackage{tabularx}	% Pour faire des tableaux

   \\usepackage{xargs}	% EE : pour permettre DES options dans newcommand

  %%%%% PACKAGES FIGURES %%%%%
  %\\usepackage{pstricks,pst-plot,pstricks-add}
  %   POUR PSTRICKS d'où compilation sans PDFLateX mais : dvi, dvi2ps, ps2PDF...
  %   MAIS ON PRÉFÉRERA UTILISER TIKZ...
  \\usepackage{xcolor}% [avant tikz] xcolor permet de nommer + de couleurs
  \\usepackage{pgf,tikz}
  \\usepackage{graphicx} % pour inclure une image
  \\usetikzlibrary{arrows,calc,fit,patterns,plotmarks,shapes.geometric,shapes.misc,shapes.symbols,shapes.arrows,
    shapes.callouts, shapes.multipart, shapes.gates.logic.US,shapes.gates.logic.IEC, er, automata,backgrounds,chains,topaths,trees,petri,mindmap,matrix, calendar, folding,fadings,through,positioning,scopes,decorations.fractals,decorations.shapes,decorations.text,decorations.pathmorphing,decorations.pathreplacing,decorations.footprints,decorations.markings,shadows,babel} % Charge toutes les librairies de Tikz
  \\usepackage{tkz-tab,tkz-fct,tkz-euclide}	% Géométrie euclidienne avec TikZ
  %\\usetkzobj{all} %problème de compilation

  %%%%% PACKAGES MATHS %%%%%
   \\usepackage{ucs}
   \\usepackage{bm}
   \\usepackage{amsmath}
   \\usepackage{amsfonts}
   \\usepackage{amssymb}
   \\usepackage{gensymb}
   \\usepackage{eurosym}
   \\usepackage{frcursive}
   \\newcommand{\\Vcurs}{\\begin{cursive}V\\end{cursive}}
   \\usepackage[normalem]{ulem}
   % plus utilisé avec ProfCollege
   % \\usepackage{sistyle} \\SIdecimalsign{,} %% => \\num{...} \\num*{...}
   % cf. http://fr.wikibooks.org/wiki/LaTeX/%C3%89crire_de_la_physique
   %  sous Ubuntu, paquet texlive-science à installer
   %\\usepackage[autolanguage,np]{numprint} % déjà appelé par défaut dans introLatex
   \\usepackage{mathrsfs}  % Spécial math
   %\\usepackage[squaren]{SIunits}	% Pour les unités (gère le conflits avec  \\square de l'extension amssymb)
   \\usepackage{pifont}	% Pour les symboles "ding"
   \\usepackage{bbding}	% Pour les symboles
   \\usepackage[misc]{ifsym}	% Pour les symboles
   \\usepackage{cancel}	% Pour pouvoir barrer les nombres

  %%%%% AUTRES %%%%%
   \\usepackage{ifthen}
   \\usepackage{url} 	        	% Pour afficher correctement les url
   \\urlstyle{sf}                          	% qui s'afficheront en police sans serif
   \\usepackage{fancyhdr,lastpage}          	% En-têtes et pieds
    \\pagestyle{fancy}                      	% de pages personnalisés
   \\usepackage{fancybox}	% Pour les encadrés
   \\usepackage{xlop}	% Pour les calculs posés
  %\\usepackage{standalone}	% Pour avoir un apercu d'un fichier qui sera utilisé avec un input
   \\usepackage{multido}	% Pour faire des boucles
  %\\usepackage{hyperref}	% Pour gérer les liens hyper-texte
   \\usepackage{fourier}
   \\usepackage{colortbl} 	% Pour des tableaux en couleur
   \\usepackage{setspace}	% Pour \\begin{spacing}{2.0} \\end{spacing}
   \\usepackage{multirow}	% Pour des cellules multilignes dans un tableau
  %\\usepackage{import}	% Equivalent de input mais en spécifiant le répertoire de travail
  %\\usepackage[]{qrcode}
  %\\usepackage{pdflscape}
   \\usepackage[framemethod=tikz]{mdframed} % Pour les cadres
   \\usepackage{tikzsymbols}
   \\usepackage{scratch3}
  %\\usepackage{tasks}	% Pour les listes horizontales
\\usepackage{csvsimple}

  %%%%% Librairies utilisées par Mathgraphe32 %%%%
  \\usepackage{fix-cm}
  \\usepackage{textcomp}
  
  %%%%% PERSONNALISATION %%%%%
  \\renewcommand{\\multiSymbole}{$\\begin{smallmatrix}\\circ\\bullet\\bullet \\\\
           \\circ\\bullet\\circ \\end{smallmatrix}$\\noindent} % par défaut $\\clubsuit$
  %\\renewcommand{\\multiSymbole}{\\textbf{(! Évent. plusieurs réponses !)}\\noindent} % par défaut $\\clubsuit$
  \\renewcommand{\\AMCbeginQuestion}[2]{\\noindent{\\colorbox{gray!20}{\\bf#1}}#2}
  %\\renewcommand{\\AMCIntervalFormat}[2]{\\texttt{[}#1\\,;\\,#2\\texttt{[}}
                           % Crochets plus nets, virgule...
  %\\AMCboxDimensions{size=1.7ex,down=.2ex} %% taille des cases à cocher diminuée
  \\newcommand{\\collerVertic}{\\vspace{-3mm}} % évite un trop grand espace vertical
  \\newcommand{\\TT}{\\sout{\\textbf{Tiers Temps}} \\noindent} %
  \\newcommand{\\Prio}{\\fbox{\\textbf{PRIORITAIRE}} \\noindent} %
  \\newcommandx{\\notation}[3][2=false,3=true]{
    \\AMCOpen{lines=#1,lineup=#2,lineuptext=\\hspace{1cm},dots=#3}{\\mauvaise[{\\tiny NR}]{NR}\\scoring{0}\\mauvaise[{\\tiny RR}]{RR}\\scoring{0.01}\\mauvaise[{\\tiny R}]{R}\\scoring{0.33}\\mauvaise[{\\tiny V}]{V}\\scoring{0.67}\\bonne[{\\tiny VV}]{VV}\\scoring{1}}
  }
  %%\\newcommand{\\notation}[1]{
  %%\\AMCOpen{lines=#1}{\\mauvaise[{\\tiny NR}]{NR}\\scoring{0}\\mauvaise[{\\tiny RR}]{RR}\\scoring{0.01}\\mauvaise[{\\tiny R}]{R}\\scoring{0.33}\\mauvaise[{\\tiny V}]{V}\\scoring{0.67}\\bonne[{\\tiny VV}]{VV}\\scoring{1}}
  %%}
  
  %%pour afficher ailleurs que dans une question
  \\makeatletter
  \\newcommand{\\AffichageSiCorrige}[1]{\\ifAMC@correc #1\\fi}
  \\makeatother
  
  
  %%%%% TAILLES %%%%%
   \\usepackage{geometry}
   \\geometry{headsep=0.3cm, left=1.5cm,right=1.5cm,top=2.4cm,bottom=1.5cm}
   \\DecimalMathComma
  
   \\AMCcodeHspace=.3em % réduction de la taille des cases pour le code élève
   \\AMCcodeVspace=.3em
  % \\AMCcodeBoxSep=.1em
   
   \\def\\AMCotextReserved{\\emph{Ne rien cocher, réservé au prof !}}
   
  %%%%%% Définition des barèmes
  \\baremeDefautS{
    e=0.0001,% incohérence (plusieurs réponses données à 0,0001 pour définir des manquements au respect de consignes)
    b=1,% bonne réponse 1
    m=-0.01,% mauvaise réponse 0,01 pour différencier de la
    v=0} % non réponse qui reste à 0
  
  \\baremeDefautM{formula=((NBC-NMC)/NB)*((NBC-NMC)/NB>0)} % nombre de bonnes réponses cochées minorées des mauvaises réponses cochées, ramenées à 1, et ramenée à 0 si résultat négatif.
  
  %%%%%%%%% Paramètres pour réponses à construire
  \\AMCinterIrep=0pt \\AMCinterBrep=.5ex \\AMCinterIquest=0pt \\AMCinterBquest=3ex \\AMCpostOquest=7mm \\setlength{\\AMChorizAnswerSep}{3em plus 4em} \\setlength{\\AMChorizBoxSep}{1em}
  %%%%% Fin du préambule %%%%%%%
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  `;let ys=`%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% -II-DOCUMENT %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\\begin{document}
\\AMCrandomseed{${x}}   % On choisit les "graines" pour initialiser le "hasard"
\\FPseed=${x}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% -II-a. CONCEPTION DU QCM %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

  %%% préparation des groupes
  \\setdefaultgroupmode{cyclic}
`;for(const uc of w){const lc=w.indexOf(uc);ys+=Z[lc]}const tc=`\\begin{minipage}{10cm}
  \\champnom{\\fbox{\\parbox{10cm}{
    Écrivez vos nom, prénom et classe : \\\\
  }}}
  \\end{minipage}
  
  %\\\\
  \\vspace{2mm}
  
  Puis remplir les cases des trois premières lettres de votre \\textbf{nom de famille} PUIS des deux premières lettres de votre \\textbf{prénom}
  \\vspace{1mm}

  \\def\\AMCchoiceLabelFormat##1{\\textcolor{black!70}{{\\tiny ##1}}}  % pour alléger la couleur des lettres dans les cases et les réduire
  \\AMCcodeGrid[h]{ID}{ABCDEFGHIJKLMNOPQRSTUVWXYZ,
  ABCDEFGHIJKLMNOPQRSTUVWXYZ,
  ABCDEFGHIJKLMNOPQRSTUVWXYZ,
  ABCDEFGHIJKLMNOPQRSTUVWXYZ,
  ABCDEFGHIJKLMNOPQRSTUVWXYZ}
  `,nc=`\\begin{minipage}{10cm}
  \\champnom{\\fbox{\\parbox{10cm}{
    Écrivez vos nom, prénom et classe : \\\\
   \\\\
  }}}
  \\end{minipage}
  
  %\\\\
  \\vspace{2mm}
  `,ac=`\\begin{center}
  \\noindent{}\\fbox{\\vspace*{3mm}
       \\Large\\bf\\nom{}~\\prenom{}\\normalsize{}%
        \\vspace*{3mm}
      }
  \\end{center}
`;let sc="";l==="AMCassociation"&&(sc+=`\\newcommand{\\sujet}{
`),sc+=`
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  %%%% -II-b. MISE EN PAGE DU QCM %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  \\exemplaire{${r}}{   % <======  /!\\ PENSER À ADAPTER /!\\  ===  %
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
`,u==="A3"&&(sc+=`\\begin{multicols}{2}
`),sc+=`
  %%%%% EN-TÊTE, IDENTIFICATION AUTOMATIQUE DE L'ÉLÈVE %%%%%
  
  \\vspace*{-17mm}
  
  %%%%% INTRODUCTION ÉVENTUELLE %%%%%
  
  \\vspace{5mm}
  %\\noindent\\AMCcode{num.etud}{8}\\hspace*{\\fill} % Pour la version "verticale"
  %\\noindent\\AMCcodeH{num.etud}{8}	 % version "horizontale"
  \\begin{minipage}{7cm}
  \\begin{center}
    \\textbf{${a}}
    
    \\textbf{${s}}
  \\end{center}
  \\end{minipage}
  \\hfill
`,l==="AMCassociation"?sc+=ac:l==="AMCcodeGrid"?sc+=tc:sc+=nc,sc+=`
{\\footnotesize REMPLIR avec un stylo NOIR la ou les cases pour chaque question. Si vous devez modifier un choix, NE PAS chercher à redessiner la case cochée par erreur, mettez simplement un coup de "blanc" dessus.
  
  Les questions précédées de \\multiSymbole peuvent avoir plusieurs réponses.\\\\ Les questions qui commencent par \\TT ne doivent pas être faites par les élèves disposant d'un tiers temps.
  
   Il est fortement conseillé de faire les calculs dans sa tête ou sur la partie blanche de la feuille sans regarder les solutions proposées avant de remplir la bonne case plutôt que d'essayer de choisir entre les propositions (ce qui demande de toutes les examiner et prend donc plus de temps) }
  
  `;let cc="";l==="AMCcodeGrid"&&(cc+="	 \\def\\AMCchoiceLabel##1{}");for(const uc of w){const lc=w.indexOf(uc);cc+=`
  \\begin{center}
    \\hrule
    \\vspace{2mm}
    \\bf\\Large ${Ce[lc]}
    \\vspace{1mm}
    \\hrule
  \\end{center}
`,ne[lc]||(cc+=`\\setgroupmode{${uc}}{cyclic}

`),t[lc]>0?cc+=`\\restituegroupe[${t[lc]}]{${uc}}

`:cc+=`\\restituegroupe{${uc}}

`}return u==="A3"&&(cc+=`\\end{multicols}
`),l==="AMCassociation"?cc+=`\\AMCassociation{\\id}

    }
  }
`:cc+=`}
`,Lr=ec+`
`+ys+`
`+sc+cc,l==="AMCassociation"&&(Lr+=`
 
 \\csvreader[head to column names]{liste.csv}{}{\\sujet}
`),Lr+=`\\end{document}
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              retirés de la liste.
              `),a=element("ul");for(let u=0;u<l.length;u+=1)l[u].c();attr(a,"class","list-inside list-disc text-left text-base mt-1"),attr(t,"slot","content"),attr(t,"class","text-justify")},m(u,_){insert(u,t,_),append$1(t,r),append$1(t,a);for(let m=0;m<l.length;m+=1)l[m]&&l[m].m(a,null)},p(u,_){if(_[0]&256){s=ensure_array_like(u[8]);let m;for(m=0;m<s.length;m+=1){const g=get_each_context$d(u,s,m);l[m]?l[m].p(g,_):(l[m]=create_each_block$d(g),l[m].c(),l[m].m(a,null))}for(;m<l.length;m+=1)l[m].d(1);l.length=s.length}},d(u){u&&detach(t),destroy_each(l,u)}}}function create_header_slot$3(n){let t;return{c(){t=element("span"),t.textContent="Attention !",attr(t,"slot","header")},m(r,a){insert(r,t,a)},p:noop,d(r){r&&detach(t)}}}function create_content_slot$3(n){let t;return{c(){t=element("ul"),t.innerHTML=`<li>Le fichier sortit d’Overleaf ne constitue qu’un aperçu.</li> <li>Le fichier doit être compilé sous AMC impérativement pour que le fichier
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MultiCriteria{constructor(){$2(this,"criteriaList",[])}addCriterion(t){if(Array.isArray(t))for(const r of t)this.criteriaList.push(r);else this.criteriaList.push(t);return this}meetCriterion(t){let r=t;for(const a of this.criteriaList)r=a.meetCriterion(r);return r}}class OrCriteria{constructor(t,r){$2(this,"firstCriterion");$2(this,"secondCriterion");this.firstCriterion=t,this.secondCriterion=r}meetCriterion(t){const r=this.firstCriterion.meetCriterion(t),a=this.secondCriterion.meetCriterion(t);return Array.from(new Set([...r,...a]))}}class AtLeastOneOfCriteria{constructor(t){$2(this,"criteriaList");this.criteriaList=[...t]}addCriterion(t){if(Array.isArray(t))for(const r of t)this.criteriaList.push(r);else this.criteriaList.push(t);return this}meetCriterion(t){const[r,a,...s]=[...this.criteriaList];let l=new OrCriteria(r,a);for(const u of s)l=new OrCriteria(l,u);return l.meetCriterion(t)}}function featuresCriteria(n){const t={meetCriterion(a){return 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monthCriterion(n){return{meetCriterion(r){return r.filter(a=>MONTHS.find(s=>s.includes(n.toLowerCase()))&&resourceHasMonth(a.resource)&&a.resource.mois&&a.resource.mois.toLowerCase().includes(n.toLowerCase()))}}}function idCriterion(n){return{meetCriterion(r){return r.filter(a=>isExerciceItemInReferentiel(a.resource)||isTool(a.resource)?a.resource.id.includes(n):!1)}}}function examCriterion(n){return{meetCriterion(r){return r.filter(a=>EXAMS.includes(n.toLowerCase())&&a.resource.uuid.startsWith(n.toLowerCase()))}}}function yearCriterion(n){return{meetCriterion(r){return r.filter(a=>YEARS.includes(n)&&isExamItemInReferentiel(a.resource)&&a.resource.annee===n)}}}function subjectCriterion(n,t=!0){return{meetCriterion(a){return a.filter(s=>{if(s.pathToResource.includes("CAN")&&!t)return!1;let l=!1;return 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f=0;f<m.length;f+=1)m[f].c();l=space(),attr(r,"class","font-bold text-2xl text-coopmaths-struct py-4"),attr(s,"class","grid grid-cols-1 md:grid-cols-4 gap-6"),attr(t,"class","mx-2 pt-8")},m(f,x){insert(f,t,x),append$1(t,r),append$1(t,a),append$1(t,s);for(let w=0;w<m.length;w+=1)m[w]&&m[w].m(s,null);append$1(t,l),u=!0},p(f,x){if(x&12){_=ensure_array_like(f[6].liste);let w;for(w=0;w<_.length;w+=1){const Z=get_each_context_1(f,_,w);m[w]?(m[w].p(Z,x),transition_in(m[w],1)):(m[w]=create_each_block_1(Z),m[w].c(),transition_in(m[w],1),m[w].m(s,null))}for(group_outros(),w=_.length;w<m.length;w+=1)g(w);check_outros()}},i(f){if(!u){for(let x=0;x<_.length;x+=1)transition_in(m[x]);u=!0}},o(f){m=m.filter(Boolean);for(let x=0;x<m.length;x+=1)transition_out(m[x]);u=!1},d(f){f&&detach(t),destroy_each(m,f)}}}function create_content_slot(n){let t,r,a,s=ensure_array_like(n[3]),l=[];for(let _=0;_<s.length;_+=1)l[_]=create_each_block$2(get_each_context$2(n,s,_));const u=_=>transition_out(l[_],1,1,()=>{l[_]=null});return{c(){t=element("div"),r=element("div");for(let _=0;_<l.length;_+=1)l[_].c();attr(r,"class","p2"),attr(t,"slot","content")},m(_,m){insert(_,t,m),append$1(t,r);for(let g=0;g<l.length;g+=1)l[g]&&l[g].m(r,null);a=!0},p(_,m){if(m&12){s=ensure_array_like(_[3]);let g;for(g=0;g<s.length;g+=1){const f=get_each_context$2(_,s,g);l[g]?(l[g].p(f,m),transition_in(l[g],1)):(l[g]=create_each_block$2(f),l[g].c(),transition_in(l[g],1),l[g].m(r,null))}for(group_outros(),g=s.length;g<l.length;g+=1)u(g);check_outros()}},i(_){if(!a){for(let m=0;m<s.length;m+=1)transition_in(l[m]);a=!0}},o(_){l=l.filter(Boolean);for(let m=0;m<l.length;m+=1)transition_out(l[m]);a=!1},d(_){_&&detach(t),destroy_each(l,_)}}}function create_fragment$m(n){let t,r,a;function s(u){n[5](u)}let l={$$slots:{content:[create_content_slot],header:[create_header_slot]},$$scope:{ctx:n}};return n[1]!==void 0&&(l.displayModal=n[1]),t=new ModalGridOfCards({props:l}),n[4](t),binding_callbacks.push(()=>bind(t,"displayModal",s)),{c(){create_component(t.$$.fragment)},m(u,_){mount_component(t,u,_),a=!0},p(u,[_]){const m={};_&4100&&(m.$$scope={dirty:_,ctx:u}),!r&&_&2&&(r=!0,m.displayModal=u[1],add_flush_callback(()=>r=!1)),t.$set(m)},i(u){a||(transition_in(t.$$.fragment,u),a=!0)},o(u){transition_out(t.$$.fragment,u),a=!1},d(u){n[4](null),destroy_component(t,u)}}}function instance$m(n,t,r){let{thirdAppsChoiceModal:a}=t,{showThirdAppsChoiceDialog:s}=t,{appsTierceInExercisesList:l}=t;const u=Object.values(appsTierce);function _(g){binding_callbacks[g?"unshift":"push"](()=>{a=g,r(0,a)})}function m(g){s=g,r(1,s)}return n.$$set=g=>{"thirdAppsChoiceModal"in g&&r(0,a=g.thirdAppsChoiceModal),"showThirdAppsChoiceDialog"in g&&r(1,s=g.showThirdAppsChoiceDialog),"appsTierceInExercisesList"in g&&r(2,l=g.appsTierceInExercisesList)},[a,s,l,u,_,m]}class ModalThirdApps extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$m,create_fragment$m,safe_not_equal,{thirdAppsChoiceModal:0,showThirdAppsChoiceDialog:1,appsTierceInExercisesList:2})}}function create_if_block$4(n){let t,r,a;return{c(){t=element("button"),t.innerHTML='<i class="bx bx-chevrons-up"></i>',attr(t,"type","button"),attr(t,"data-te-ripple-init",""),attr(t,"data-te-ripple-color","light"),attr(t,"class","!fixed bottom-5 right-5 rounded-full bg-transparent p-3 text-xl font-medium uppercase leading-tight text-coopmaths-action shadow-md transition duration-150 ease-in-out hover:text-coopmaths-action-lightest hover:shadow-lg focus:text-coopmaths-action-lightest focus:shadow-lg focus:outline-none focus:ring-0 active:text-coopmaths-action-lightest active:shadow-lg"),attr(t,"id","btn-back-to-top")},m(s,l){insert(s,t,l),r||(a=listen(t,"click",function(){is_function(n[1])&&n[1].apply(this,arguments)}),r=!0)},p(s,l){n=s},d(s){s&&detach(t),r=!1,a()}}}function create_fragment$l(n){let t,r=n[0]&&create_if_block$4(n);return{c(){r&&r.c(),t=empty$1()},m(a,s){r&&r.m(a,s),insert(a,t,s)},p(a,[s]){a[0]?r?r.p(a,s):(r=create_if_block$4(a),r.c(),r.m(t.parentNode,t)):r&&(r.d(1),r=null)},i:noop,o:noop,d(a){a&&detach(t),r&&r.d(a)}}}function instance$l(n,t,r){let{isBackToTopButtonVisible:a=!1}=t,{backToTop:s}=t;return n.$$set=l=>{"isBackToTopButtonVisible"in l&&r(0,a=l.isBackToTopButtonVisible),"backToTop"in l&&r(1,s=l.backToTop)},[a,s]}class ButtonBackToTop extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$l,create_fragment$l,safe_not_equal,{isBackToTopButtonVisible:0,backToTop:1})}}/**!
 * Sortable 1.15.2
 * @author	RubaXa   <trash@rubaxa.org>
 * @author	owenm    <owen23355@gmail.com>
 * @license MIT
 */function ownKeys(n,t){var r=Object.keys(n);if(Object.getOwnPropertySymbols){var a=Object.getOwnPropertySymbols(n);t&&(a=a.filter(function(s){return Object.getOwnPropertyDescriptor(n,s).enumerable})),r.push.apply(r,a)}return r}function _objectSpread2(n){for(var t=1;t<arguments.length;t++){var r=arguments[t]!=null?arguments[t]:{};t%2?ownKeys(Object(r),!0).forEach(function(a){_defineProperty(n,a,r[a])}):Object.getOwnPropertyDescriptors?Object.defineProperties(n,Object.getOwnPropertyDescriptors(r)):ownKeys(Object(r)).forEach(function(a){Object.defineProperty(n,a,Object.getOwnPropertyDescriptor(r,a))})}return n}function _typeof(n){"@babel/helpers - typeof";return typeof Symbol=="function"&&typeof Symbol.iterator=="symbol"?_typeof=function(t){return typeof t}:_typeof=function(t){return t&&typeof Symbol=="function"&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t},_typeof(n)}function _defineProperty(n,t,r){return t in n?Object.defineProperty(n,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):n[t]=r,n}function _extends(){return _extends=Object.assign||function(n){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var a in r)Object.prototype.hasOwnProperty.call(r,a)&&(n[a]=r[a])}return n},_extends.apply(this,arguments)}function _objectWithoutPropertiesLoose(n,t){if(n==null)return{};var r={},a=Object.keys(n),s,l;for(l=0;l<a.length;l++)s=a[l],!(t.indexOf(s)>=0)&&(r[s]=n[s]);return r}function _objectWithoutProperties(n,t){if(n==null)return{};var r=_objectWithoutPropertiesLoose(n,t),a,s;if(Object.getOwnPropertySymbols){var l=Object.getOwnPropertySymbols(n);for(s=0;s<l.length;s++)a=l[s],!(t.indexOf(a)>=0)&&Object.prototype.propertyIsEnumerable.call(n,a)&&(r[a]=n[a])}return r}var version="1.15.2";function userAgent(n){if(typeof window<"u"&&window.navigator)return!!navigator.userAgent.match(n)}var IE11OrLess=userAgent(/(?:Trident.*rv[ :]?11\.|msie|iemobile|Windows Phone)/i),Edge=userAgent(/Edge/i),FireFox=userAgent(/firefox/i),Safari=userAgent(/safari/i)&&!userAgent(/chrome/i)&&!userAgent(/android/i),IOS=userAgent(/iP(ad|od|hone)/i),ChromeForAndroid=userAgent(/chrome/i)&&userAgent(/android/i),captureMode={capture:!1,passive:!1};function on(n,t,r){n.addEventListener(t,r,!IE11OrLess&&captureMode)}function off(n,t,r){n.removeEventListener(t,r,!IE11OrLess&&captureMode)}function matches(n,t){if(t){if(t[0]===">"&&(t=t.substring(1)),n)try{if(n.matches)return n.matches(t);if(n.msMatchesSelector)return n.msMatchesSelector(t);if(n.webkitMatchesSelector)return n.webkitMatchesSelector(t)}catch{return!1}return!1}}function getParentOrHost(n){return n.host&&n!==document&&n.host.nodeType?n.host:n.parentNode}function closest(n,t,r,a){if(n){r=r||document;do{if(t!=null&&(t[0]===">"?n.parentNode===r&&matches(n,t):matches(n,t))||a&&n===r)return n;if(n===r)break}while(n=getParentOrHost(n))}return null}var R_SPACE=/\s+/g;function toggleClass(n,t,r){if(n&&t)if(n.classList)n.classList[r?"add":"remove"](t);else{var a=(" "+n.className+" ").replace(R_SPACE," ").replace(" "+t+" "," ");n.className=(a+(r?" 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l=t+"Global";plugins.forEach(function(u){r[u.pluginName]&&(r[u.pluginName][l]&&r[u.pluginName][l](_objectSpread2({sortable:r},a)),r.options[u.pluginName]&&r[u.pluginName][t]&&r[u.pluginName][t](_objectSpread2({sortable:r},a)))})},initializePlugins:function n(t,r,a,s){plugins.forEach(function(_){var m=_.pluginName;if(!(!t.options[m]&&!_.initializeByDefault)){var g=new _(t,r,t.options);g.sortable=t,g.options=t.options,t[m]=g,_extends(a,g.defaults)}});for(var l in t.options)if(t.options.hasOwnProperty(l)){var u=this.modifyOption(t,l,t.options[l]);typeof u<"u"&&(t.options[l]=u)}},getEventProperties:function n(t,r){var a={};return plugins.forEach(function(s){typeof s.eventProperties=="function"&&_extends(a,s.eventProperties.call(r[s.pluginName],t))}),a},modifyOption:function n(t,r,a){var s;return plugins.forEach(function(l){t[l.pluginName]&&l.optionListeners&&typeof l.optionListeners[r]=="function"&&(s=l.optionListeners[r].call(t[l.pluginName],a))}),s}};function dispatchEvent(n){var t=n.sortable,r=n.rootEl,a=n.name,s=n.targetEl,l=n.cloneEl,u=n.toEl,_=n.fromEl,m=n.oldIndex,g=n.newIndex,f=n.oldDraggableIndex,x=n.newDraggableIndex,w=n.originalEvent,Z=n.putSortable,Ce=n.extraEventProperties;if(t=t||r&&r[expando],!!t){var ne,$e=t.options,Ie="on"+a.charAt(0).toUpperCase()+a.substr(1);window.CustomEvent&&!IE11OrLess&&!Edge?ne=new CustomEvent(a,{bubbles:!0,cancelable:!0}):(ne=document.createEvent("Event"),ne.initEvent(a,!0,!0)),ne.to=u||r,ne.from=_||r,ne.item=s||r,ne.clone=l,ne.oldIndex=m,ne.newIndex=g,ne.oldDraggableIndex=f,ne.newDraggableIndex=x,ne.originalEvent=w,ne.pullMode=Z?Z.lastPutMode:void 0;var Dt=_objectSpread2(_objectSpread2({},Ce),PluginManager.getEventProperties(a,t));for(var Lr in Dt)ne[Lr]=Dt[Lr];r&&r.dispatchEvent(ne),$e[Ie]&&$e[Ie].call(t,ne)}}var _excluded=["evt"],pluginEvent=function n(t,r){var a=arguments.length>2&&arguments[2]!==void 0?arguments[2]:{},s=a.evt,l=_objectWithoutProperties(a,_excluded);PluginManager.pluginEvent.bind(Sortable)(t,r,_objectSpread2({dragEl,parentEl,ghostEl,rootEl,nextEl,lastDownEl,cloneEl,cloneHidden,dragStarted:moved,putSortable,activeSortable:Sortable.active,originalEvent:s,oldIndex,oldDraggableIndex,newIndex,newDraggableIndex,hideGhostForTarget:_hideGhostForTarget,unhideGhostForTarget:_unhideGhostForTarget,cloneNowHidden:function(){cloneHidden=!0},cloneNowShown:function(){cloneHidden=!1},dispatchSortableEvent:function(_){_dispatchEvent({sortable:r,name:_,originalEvent:s})}},l))};function _dispatchEvent(n){dispatchEvent(_objectSpread2({putSortable,cloneEl,targetEl:dragEl,rootEl,oldIndex,oldDraggableIndex,newIndex,newDraggableIndex},n))}var dragEl,parentEl,ghostEl,rootEl,nextEl,lastDownEl,cloneEl,cloneHidden,oldIndex,newIndex,oldDraggableIndex,newDraggableIndex,activeGroup,putSortable,awaitingDragStarted=!1,ignoreNextClick=!1,sortables=[],tapEvt,touchEvt,lastDx,lastDy,tapDistanceLeft,tapDistanceTop,moved,lastTarget,lastDirection,pastFirstInvertThresh=!1,isCircumstantialInvert=!1,targetMoveDistance,ghostRelativeParent,ghostRelativeParentInitialScroll=[],_silent=!1,savedInputChecked=[],documentExists=typeof document<"u",PositionGhostAbsolutely=IOS,CSSFloatProperty=Edge||IE11OrLess?"cssFloat":"float",supportDraggable=documentExists&&!ChromeForAndroid&&!IOS&&"draggable"in document.createElement("div"),supportCssPointerEvents=function(){if(documentExists){if(IE11OrLess)return!1;var n=document.createElement("x");return n.style.cssText="pointer-events:auto",n.style.pointerEvents==="auto"}}(),_detectDirection=function n(t,r){var a=css(t),s=parseInt(a.width)-parseInt(a.paddingLeft)-parseInt(a.paddingRight)-parseInt(a.borderLeftWidth)-parseInt(a.borderRightWidth),l=getChild(t,0,r),u=getChild(t,1,r),_=l&&css(l),m=u&&css(u),g=_&&parseInt(_.marginLeft)+parseInt(_.marginRight)+getRect(l).width,f=m&&parseInt(m.marginLeft)+parseInt(m.marginRight)+getRect(u).width;if(a.display==="flex")return a.flexDirection==="column"||a.flexDirection==="column-reverse"?"vertical":"horizontal";if(a.display==="grid")return a.gridTemplateColumns.split(" ").length<=1?"vertical":"horizontal";if(l&&_.float&&_.float!=="none"){var x=_.float==="left"?"left":"right";return u&&(m.clear==="both"||m.clear===x)?"vertical":"horizontal"}return l&&(_.display==="block"||_.display==="flex"||_.display==="table"||_.display==="grid"||g>=s&&a[CSSFloatProperty]==="none"||u&&a[CSSFloatProperty]==="none"&&g+f>s)?"vertical":"horizontal"},_dragElInRowColumn=function n(t,r,a){var s=a?t.left:t.top,l=a?t.right:t.bottom,u=a?t.width:t.height,_=a?r.left:r.top,m=a?r.right:r.bottom,g=a?r.width:r.height;return s===_||l===m||s+u/2===_+g/2},_detectNearestEmptySortable=function n(t,r){var a;return sortables.some(function(s){var l=s[expando].options.emptyInsertThreshold;if(!(!l||lastChild(s))){var u=getRect(s),_=t>=u.left-l&&t<=u.right+l,m=r>=u.top-l&&r<=u.bottom+l;if(_&&m)return a=s}}),a},_prepareGroup=function n(t){function r(l,u){return function(_,m,g,f){var x=_.options.group.name&&m.options.group.name&&_.options.group.name===m.options.group.name;if(l==null&&(u||x))return!0;if(l==null||l===!1)return!1;if(u&&l==="clone")return l;if(typeof l=="function")return r(l(_,m,g,f),u)(_,m,g,f);var w=(u?_:m).options.group.name;return l===!0||typeof l=="string"&&l===w||l.join&&l.indexOf(w)>-1}}var a={},s=t.group;(!s||_typeof(s)!="object")&&(s={name:s}),a.name=s.name,a.checkPull=r(s.pull,!0),a.checkPut=r(s.put),a.revertClone=s.revertClone,t.group=a},_hideGhostForTarget=function n(){!supportCssPointerEvents&&ghostEl&&css(ghostEl,"display","none")},_unhideGhostForTarget=function n(){!supportCssPointerEvents&&ghostEl&&css(ghostEl,"display","")};documentExists&&!ChromeForAndroid&&document.addEventListener("click",function(n){if(ignoreNextClick)return n.preventDefault(),n.stopPropagation&&n.stopPropagation(),n.stopImmediatePropagation&&n.stopImmediatePropagation(),ignoreNextClick=!1,!1},!0);var nearestEmptyInsertDetectEvent=function n(t){if(dragEl){t=t.touches?t.touches[0]:t;var r=_detectNearestEmptySortable(t.clientX,t.clientY);if(r){var a={};for(var s in t)t.hasOwnProperty(s)&&(a[s]=t[s]);a.target=a.rootEl=r,a.preventDefault=void 0,a.stopPropagation=void 0,r[expando]._onDragOver(a)}}},_checkOutsideTargetEl=function n(t){dragEl&&dragEl.parentNode[expando]._isOutsideThisEl(t.target)};function Sortable(n,t){if(!(n&&n.nodeType&&n.nodeType===1))throw"Sortable: `el` must be an HTMLElement, not ".concat({}.toString.call(n));this.el=n,this.options=t=_extends({},t),n[expando]=this;var r={group:null,sort:!0,disabled:!1,store:null,handle:null,draggable:/^[uo]l$/i.test(n.nodeName)?">li":">*",swapThreshold:1,invertSwap:!1,invertedSwapThreshold:null,removeCloneOnHide:!0,direction:function(){return _detectDirection(n,this.options)},ghostClass:"sortable-ghost",chosenClass:"sortable-chosen",dragClass:"sortable-drag",ignore:"a, img",filter:null,preventOnFilter:!0,animation:0,easing:null,setData:function(u,_){u.setData("Text",_.textContent)},dropBubble:!1,dragoverBubble:!1,dataIdAttr:"data-id",delay:0,delayOnTouchOnly:!1,touchStartThreshold:(Number.parseInt?Number:window).parseInt(window.devicePixelRatio,10)||1,forceFallback:!1,fallbackClass:"sortable-fallback",fallbackOnBody:!1,fallbackTolerance:0,fallbackOffset:{x:0,y:0},supportPointer:Sortable.supportPointer!==!1&&"PointerEvent"in window&&!Safari,emptyInsertThreshold:5};PluginManager.initializePlugins(this,n,r);for(var a in r)!(a in t)&&(t[a]=r[a]);_prepareGroup(t);for(var s in this)s.charAt(0)==="_"&&typeof this[s]=="function"&&(this[s]=this[s].bind(this));this.nativeDraggable=t.forceFallback?!1:supportDraggable,this.nativeDraggable&&(this.options.touchStartThreshold=1),t.supportPointer?on(n,"pointerdown",this._onTapStart):(on(n,"mousedown",this._onTapStart),on(n,"touchstart",this._onTapStart)),this.nativeDraggable&&(on(n,"dragover",this),on(n,"dragenter",this)),sortables.push(this.el),t.store&&t.store.get&&this.sort(t.store.get(this)||[]),_extends(this,AnimationStateManager())}Sortable.prototype={constructor:Sortable,_isOutsideThisEl:function n(t){!this.el.contains(t)&&t!==this.el&&(lastTarget=null)},_getDirection:function n(t,r){return typeof this.options.direction=="function"?this.options.direction.call(this,t,r,dragEl):this.options.direction},_onTapStart:function n(t){if(t.cancelable){var r=this,a=this.el,s=this.options,l=s.preventOnFilter,u=t.type,_=t.touches&&t.touches[0]||t.pointerType&&t.pointerType==="touch"&&t,m=(_||t).target,g=t.target.shadowRoot&&(t.path&&t.path[0]||t.composedPath&&t.composedPath()[0])||m,f=s.filter;if(_saveInputCheckedState(a),!dragEl&&!(/mousedown|pointerdown/.test(u)&&t.button!==0||s.disabled)&&!g.isContentEditable&&!(!this.nativeDraggable&&Safari&&m&&m.tagName.toUpperCase()==="SELECT")&&(m=closest(m,s.draggable,a,!1),!(m&&m.animated)&&lastDownEl!==m)){if(oldIndex=index(m),oldDraggableIndex=index(m,s.draggable),typeof f=="function"){if(f.call(this,t,m,this)){_dispatchEvent({sortable:r,rootEl:g,name:"filter",targetEl:m,toEl:a,fromEl:a}),pluginEvent("filter",r,{evt:t}),l&&t.cancelable&&t.preventDefault();return}}else if(f&&(f=f.split(",").some(function(x){if(x=closest(g,x.trim(),a,!1),x)return _dispatchEvent({sortable:r,rootEl:x,name:"filter",targetEl:m,fromEl:a,toEl:a}),pluginEvent("filter",r,{evt:t}),!0}),f)){l&&t.cancelable&&t.preventDefault();return}s.handle&&!closest(g,s.handle,a,!1)||this._prepareDragStart(t,_,m)}}},_prepareDragStart:function n(t,r,a){var s=this,l=s.el,u=s.options,_=l.ownerDocument,m;if(a&&!dragEl&&a.parentNode===l){var g=getRect(a);if(rootEl=l,dragEl=a,parentEl=dragEl.parentNode,nextEl=dragEl.nextSibling,lastDownEl=a,activeGroup=u.group,Sortable.dragged=dragEl,tapEvt={target:dragEl,clientX:(r||t).clientX,clientY:(r||t).clientY},tapDistanceLeft=tapEvt.clientX-g.left,tapDistanceTop=tapEvt.clientY-g.top,this._lastX=(r||t).clientX,this._lastY=(r||t).clientY,dragEl.style["will-change"]="all",m=function(){if(pluginEvent("delayEnded",s,{evt:t}),Sortable.eventCanceled){s._onDrop();return}s._disableDelayedDragEvents(),!FireFox&&s.nativeDraggable&&(dragEl.draggable=!0),s._triggerDragStart(t,r),_dispatchEvent({sortable:s,name:"choose",originalEvent:t}),toggleClass(dragEl,u.chosenClass,!0)},u.ignore.split(",").forEach(function(f){find(dragEl,f.trim(),_disableDraggable)}),on(_,"dragover",nearestEmptyInsertDetectEvent),on(_,"mousemove",nearestEmptyInsertDetectEvent),on(_,"touchmove",nearestEmptyInsertDetectEvent),on(_,"mouseup",s._onDrop),on(_,"touchend",s._onDrop),on(_,"touchcancel",s._onDrop),FireFox&&this.nativeDraggable&&(this.options.touchStartThreshold=4,dragEl.draggable=!0),pluginEvent("delayStart",this,{evt:t}),u.delay&&(!u.delayOnTouchOnly||r)&&(!this.nativeDraggable||!(Edge||IE11OrLess))){if(Sortable.eventCanceled){this._onDrop();return}on(_,"mouseup",s._disableDelayedDrag),on(_,"touchend",s._disableDelayedDrag),on(_,"touchcancel",s._disableDelayedDrag),on(_,"mousemove",s._delayedDragTouchMoveHandler),on(_,"touchmove",s._delayedDragTouchMoveHandler),u.supportPointer&&on(_,"pointermove",s._delayedDragTouchMoveHandler),s._dragStartTimer=setTimeout(m,u.delay)}else m()}},_delayedDragTouchMoveHandler:function n(t){var r=t.touches?t.touches[0]:t;Math.max(Math.abs(r.clientX-this._lastX),Math.abs(r.clientY-this._lastY))>=Math.floor(this.options.touchStartThreshold/(this.nativeDraggable&&window.devicePixelRatio||1))&&this._disableDelayedDrag()},_disableDelayedDrag:function n(){dragEl&&_disableDraggable(dragEl),clearTimeout(this._dragStartTimer),this._disableDelayedDragEvents()},_disableDelayedDragEvents:function n(){var t=this.el.ownerDocument;off(t,"mouseup",this._disableDelayedDrag),off(t,"touchend",this._disableDelayedDrag),off(t,"touchcancel",this._disableDelayedDrag),off(t,"mousemove",this._delayedDragTouchMoveHandler),off(t,"touchmove",this._delayedDragTouchMoveHandler),off(t,"pointermove",this._delayedDragTouchMoveHandler)},_triggerDragStart:function n(t,r){r=r||t.pointerType=="touch"&&t,!this.nativeDraggable||r?this.options.supportPointer?on(document,"pointermove",this._onTouchMove):r?on(document,"touchmove",this._onTouchMove):on(document,"mousemove",this._onTouchMove):(on(dragEl,"dragend",this),on(rootEl,"dragstart",this._onDragStart));try{document.selection?_nextTick(function(){document.selection.empty()}):window.getSelection().removeAllRanges()}catch{}},_dragStarted:function n(t,r){if(awaitingDragStarted=!1,rootEl&&dragEl){pluginEvent("dragStarted",this,{evt:r}),this.nativeDraggable&&on(document,"dragover",_checkOutsideTargetEl);var a=this.options;!t&&toggleClass(dragEl,a.dragClass,!1),toggleClass(dragEl,a.ghostClass,!0),Sortable.active=this,t&&this._appendGhost(),_dispatchEvent({sortable:this,name:"start",originalEvent:r})}else this._nulling()},_emulateDragOver:function n(){if(touchEvt){this._lastX=touchEvt.clientX,this._lastY=touchEvt.clientY,_hideGhostForTarget();for(var t=document.elementFromPoint(touchEvt.clientX,touchEvt.clientY),r=t;t&&t.shadowRoot&&(t=t.shadowRoot.elementFromPoint(touchEvt.clientX,touchEvt.clientY),t!==r);)r=t;if(dragEl.parentNode[expando]._isOutsideThisEl(t),r)do{if(r[expando]){var a=void 0;if(a=r[expando]._onDragOver({clientX:touchEvt.clientX,clientY:touchEvt.clientY,target:t,rootEl:r}),a&&!this.options.dragoverBubble)break}t=r}while(r=r.parentNode);_unhideGhostForTarget()}},_onTouchMove:function n(t){if(tapEvt){var r=this.options,a=r.fallbackTolerance,s=r.fallbackOffset,l=t.touches?t.touches[0]:t,u=ghostEl&&matrix(ghostEl,!0),_=ghostEl&&u&&u.a,m=ghostEl&&u&&u.d,g=PositionGhostAbsolutely&&ghostRelativeParent&&getRelativeScrollOffset(ghostRelativeParent),f=(l.clientX-tapEvt.clientX+s.x)/(_||1)+(g?g[0]-ghostRelativeParentInitialScroll[0]:0)/(_||1),x=(l.clientY-tapEvt.clientY+s.y)/(m||1)+(g?g[1]-ghostRelativeParentInitialScroll[1]:0)/(m||1);if(!Sortable.active&&!awaitingDragStarted){if(a&&Math.max(Math.abs(l.clientX-this._lastX),Math.abs(l.clientY-this._lastY))<a)return;this._onDragStart(t,!0)}if(ghostEl){u?(u.e+=f-(lastDx||0),u.f+=x-(lastDy||0)):u={a:1,b:0,c:0,d:1,e:f,f:x};var w="matrix(".concat(u.a,",").concat(u.b,",").concat(u.c,",").concat(u.d,",").concat(u.e,",").concat(u.f,")");css(ghostEl,"webkitTransform",w),css(ghostEl,"mozTransform",w),css(ghostEl,"msTransform",w),css(ghostEl,"transform",w),lastDx=f,lastDy=x,touchEvt=l}t.cancelable&&t.preventDefault()}},_appendGhost:function n(){if(!ghostEl){var t=this.options.fallbackOnBody?document.body:rootEl,r=getRect(dragEl,!0,PositionGhostAbsolutely,!0,t),a=this.options;if(PositionGhostAbsolutely){for(ghostRelativeParent=t;css(ghostRelativeParent,"position")==="static"&&css(ghostRelativeParent,"transform")==="none"&&ghostRelativeParent!==document;)ghostRelativeParent=ghostRelativeParent.parentNode;ghostRelativeParent!==document.body&&ghostRelativeParent!==document.documentElement?(ghostRelativeParent===document&&(ghostRelativeParent=getWindowScrollingElement()),r.top+=ghostRelativeParent.scrollTop,r.left+=ghostRelativeParent.scrollLeft):ghostRelativeParent=getWindowScrollingElement(),ghostRelativeParentInitialScroll=getRelativeScrollOffset(ghostRelativeParent)}ghostEl=dragEl.cloneNode(!0),toggleClass(ghostEl,a.ghostClass,!1),toggleClass(ghostEl,a.fallbackClass,!0),toggleClass(ghostEl,a.dragClass,!0),css(ghostEl,"transition",""),css(ghostEl,"transform",""),css(ghostEl,"box-sizing","border-box"),css(ghostEl,"margin",0),css(ghostEl,"top",r.top),css(ghostEl,"left",r.left),css(ghostEl,"width",r.width),css(ghostEl,"height",r.height),css(ghostEl,"opacity","0.8"),css(ghostEl,"position",PositionGhostAbsolutely?"absolute":"fixed"),css(ghostEl,"zIndex","100000"),css(ghostEl,"pointerEvents","none"),Sortable.ghost=ghostEl,t.appendChild(ghostEl),css(ghostEl,"transform-origin",tapDistanceLeft/parseInt(ghostEl.style.width)*100+"% "+tapDistanceTop/parseInt(ghostEl.style.height)*100+"%")}},_onDragStart:function n(t,r){var a=this,s=t.dataTransfer,l=a.options;if(pluginEvent("dragStart",this,{evt:t}),Sortable.eventCanceled){this._onDrop();return}pluginEvent("setupClone",this),Sortable.eventCanceled||(cloneEl=clone(dragEl),cloneEl.removeAttribute("id"),cloneEl.draggable=!1,cloneEl.style["will-change"]="",this._hideClone(),toggleClass(cloneEl,this.options.chosenClass,!1),Sortable.clone=cloneEl),a.cloneId=_nextTick(function(){pluginEvent("clone",a),!Sortable.eventCanceled&&(a.options.removeCloneOnHide||rootEl.insertBefore(cloneEl,dragEl),a._hideClone(),_dispatchEvent({sortable:a,name:"clone"}))}),!r&&toggleClass(dragEl,l.dragClass,!0),r?(ignoreNextClick=!0,a._loopId=setInterval(a._emulateDragOver,50)):(off(document,"mouseup",a._onDrop),off(document,"touchend",a._onDrop),off(document,"touchcancel",a._onDrop),s&&(s.effectAllowed="move",l.setData&&l.setData.call(a,s,dragEl)),on(document,"drop",a),css(dragEl,"transform","translateZ(0)")),awaitingDragStarted=!0,a._dragStartId=_nextTick(a._dragStarted.bind(a,r,t)),on(document,"selectstart",a),moved=!0,Safari&&css(document.body,"user-select","none")},_onDragOver:function n(t){var r=this.el,a=t.target,s,l,u,_=this.options,m=_.group,g=Sortable.active,f=activeGroup===m,x=_.sort,w=putSortable||g,Z,Ce=this,ne=!1;if(_silent)return;function $e(d0,t0){pluginEvent(d0,Ce,_objectSpread2({evt:t,isOwner:f,axis:Z?"vertical":"horizontal",revert:u,dragRect:s,targetRect:l,canSort:x,fromSortable:w,target:a,completed:Dt,onMove:function(_0,c0){return _onMove(rootEl,r,dragEl,s,_0,getRect(_0),t,c0)},changed:Lr},t0))}function Ie(){$e("dragOverAnimationCapture"),Ce.captureAnimationState(),Ce!==w&&w.captureAnimationState()}function Dt(d0){return $e("dragOverCompleted",{insertion:d0}),d0&&(f?g._hideClone():g._showClone(Ce),Ce!==w&&(toggleClass(dragEl,putSortable?putSortable.options.ghostClass:g.options.ghostClass,!1),toggleClass(dragEl,_.ghostClass,!0)),putSortable!==Ce&&Ce!==Sortable.active?putSortable=Ce:Ce===Sortable.active&&putSortable&&(putSortable=null),w===Ce&&(Ce._ignoreWhileAnimating=a),Ce.animateAll(function(){$e("dragOverAnimationComplete"),Ce._ignoreWhileAnimating=null}),Ce!==w&&(w.animateAll(),w._ignoreWhileAnimating=null)),(a===dragEl&&!dragEl.animated||a===r&&!a.animated)&&(lastTarget=null),!_.dragoverBubble&&!t.rootEl&&a!==document&&(dragEl.parentNode[expando]._isOutsideThisEl(t.target),!d0&&nearestEmptyInsertDetectEvent(t)),!_.dragoverBubble&&t.stopPropagation&&t.stopPropagation(),ne=!0}function Lr(){newIndex=index(dragEl),newDraggableIndex=index(dragEl,_.draggable),_dispatchEvent({sortable:Ce,name:"change",toEl:r,newIndex,newDraggableIndex,originalEvent:t})}if(t.preventDefault!==void 0&&t.cancelable&&t.preventDefault(),a=closest(a,_.draggable,r,!0),$e("dragOver"),Sortable.eventCanceled)return ne;if(dragEl.contains(t.target)||a.animated&&a.animatingX&&a.animatingY||Ce._ignoreWhileAnimating===a)return Dt(!1);if(ignoreNextClick=!1,g&&!_.disabled&&(f?x||(u=parentEl!==rootEl):putSortable===this||(this.lastPutMode=activeGroup.checkPull(this,g,dragEl,t))&&m.checkPut(this,g,dragEl,t))){if(Z=this._getDirection(t,a)==="vertical",s=getRect(dragEl),$e("dragOverValid"),Sortable.eventCanceled)return ne;if(u)return parentEl=rootEl,Ie(),this._hideClone(),$e("revert"),Sortable.eventCanceled||(nextEl?rootEl.insertBefore(dragEl,nextEl):rootEl.appendChild(dragEl)),Dt(!0);var ec=lastChild(r,_.draggable);if(!ec||_ghostIsLast(t,Z,this)&&!ec.animated){if(ec===dragEl)return Dt(!1);if(ec&&r===t.target&&(a=ec),a&&(l=getRect(a)),_onMove(rootEl,r,dragEl,s,a,l,t,!!a)!==!1)return Ie(),ec&&ec.nextSibling?r.insertBefore(dragEl,ec.nextSibling):r.appendChild(dragEl),parentEl=r,Lr(),Dt(!0)}else if(ec&&_ghostIsFirst(t,Z,this)){var ys=getChild(r,0,_,!0);if(ys===dragEl)return Dt(!1);if(a=ys,l=getRect(a),_onMove(rootEl,r,dragEl,s,a,l,t,!1)!==!1)return Ie(),r.insertBefore(dragEl,ys),parentEl=r,Lr(),Dt(!0)}else if(a.parentNode===r){l=getRect(a);var tc=0,nc,ac=dragEl.parentNode!==r,sc=!_dragElInRowColumn(dragEl.animated&&dragEl.toRect||s,a.animated&&a.toRect||l,Z),cc=Z?"top":"left",uc=isScrolledPast(a,"top","top")||isScrolledPast(dragEl,"top","top"),lc=uc?uc.scrollTop:void 0;lastTarget!==a&&(nc=l[cc],pastFirstInvertThresh=!1,isCircumstantialInvert=!sc&&_.invertSwap||ac),tc=_getSwapDirection(t,a,l,Z,sc?1:_.swapThreshold,_.invertedSwapThreshold==null?_.swapThreshold:_.invertedSwapThreshold,isCircumstantialInvert,lastTarget===a);var e0;if(tc!==0){var dc=index(dragEl);do dc-=tc,e0=parentEl.children[dc];while(e0&&(css(e0,"display")==="none"||e0===ghostEl))}if(tc===0||e0===a)return Dt(!1);lastTarget=a,lastDirection=tc;var kc=a.nextElementSibling,Jc=!1;Jc=tc===1;var n0=_onMove(rootEl,r,dragEl,s,a,l,t,Jc);if(n0!==!1)return(n0===1||n0===-1)&&(Jc=n0===1),_silent=!0,setTimeout(_unsilent,30),Ie(),Jc&&!kc?r.appendChild(dragEl):a.parentNode.insertBefore(dragEl,Jc?kc:a),uc&&scrollBy(uc,0,lc-uc.scrollTop),parentEl=dragEl.parentNode,nc!==void 0&&!isCircumstantialInvert&&(targetMoveDistance=Math.abs(nc-getRect(a)[cc])),Lr(),Dt(!0)}if(r.contains(dragEl))return Dt(!1)}return!1},_ignoreWhileAnimating:null,_offMoveEvents:function n(){off(document,"mousemove",this._onTouchMove),off(document,"touchmove",this._onTouchMove),off(document,"pointermove",this._onTouchMove),off(document,"dragover",nearestEmptyInsertDetectEvent),off(document,"mousemove",nearestEmptyInsertDetectEvent),off(document,"touchmove",nearestEmptyInsertDetectEvent)},_offUpEvents:function n(){var t=this.el.ownerDocument;off(t,"mouseup",this._onDrop),off(t,"touchend",this._onDrop),off(t,"pointerup",this._onDrop),off(t,"touchcancel",this._onDrop),off(document,"selectstart",this)},_onDrop:function n(t){var r=this.el,a=this.options;if(newIndex=index(dragEl),newDraggableIndex=index(dragEl,a.draggable),pluginEvent("drop",this,{evt:t}),parentEl=dragEl&&dragEl.parentNode,newIndex=index(dragEl),newDraggableIndex=index(dragEl,a.draggable),Sortable.eventCanceled){this._nulling();return}awaitingDragStarted=!1,isCircumstantialInvert=!1,pastFirstInvertThresh=!1,clearInterval(this._loopId),clearTimeout(this._dragStartTimer),_cancelNextTick(this.cloneId),_cancelNextTick(this._dragStartId),this.nativeDraggable&&(off(document,"drop",this),off(r,"dragstart",this._onDragStart)),this._offMoveEvents(),this._offUpEvents(),Safari&&css(document.body,"user-select",""),css(dragEl,"transform",""),t&&(moved&&(t.cancelable&&t.preventDefault(),!a.dropBubble&&t.stopPropagation()),ghostEl&&ghostEl.parentNode&&ghostEl.parentNode.removeChild(ghostEl),(rootEl===parentEl||putSortable&&putSortable.lastPutMode!=="clone")&&cloneEl&&cloneEl.parentNode&&cloneEl.parentNode.removeChild(cloneEl),dragEl&&(this.nativeDraggable&&off(dragEl,"dragend",this),_disableDraggable(dragEl),dragEl.style["will-change"]="",moved&&!awaitingDragStarted&&toggleClass(dragEl,putSortable?putSortable.options.ghostClass:this.options.ghostClass,!1),toggleClass(dragEl,this.options.chosenClass,!1),_dispatchEvent({sortable:this,name:"unchoose",toEl:parentEl,newIndex:null,newDraggableIndex:null,originalEvent:t}),rootEl!==parentEl?(newIndex>=0&&(_dispatchEvent({rootEl:parentEl,name:"add",toEl:parentEl,fromEl:rootEl,originalEvent:t}),_dispatchEvent({sortable:this,name:"remove",toEl:parentEl,originalEvent:t}),_dispatchEvent({rootEl:parentEl,name:"sort",toEl:parentEl,fromEl:rootEl,originalEvent:t}),_dispatchEvent({sortable:this,name:"sort",toEl:parentEl,originalEvent:t})),putSortable&&putSortable.save()):newIndex!==oldIndex&&newIndex>=0&&(_dispatchEvent({sortable:this,name:"update",toEl:parentEl,originalEvent:t}),_dispatchEvent({sortable:this,name:"sort",toEl:parentEl,originalEvent:t})),Sortable.active&&((newIndex==null||newIndex===-1)&&(newIndex=oldIndex,newDraggableIndex=oldDraggableIndex),_dispatchEvent({sortable:this,name:"end",toEl:parentEl,originalEvent:t}),this.save()))),this._nulling()},_nulling:function n(){pluginEvent("nulling",this),rootEl=dragEl=parentEl=ghostEl=nextEl=cloneEl=lastDownEl=cloneHidden=tapEvt=touchEvt=moved=newIndex=newDraggableIndex=oldIndex=oldDraggableIndex=lastTarget=lastDirection=putSortable=activeGroup=Sortable.dragged=Sortable.ghost=Sortable.clone=Sortable.active=null,savedInputChecked.forEach(function(t){t.checked=!0}),savedInputChecked.length=lastDx=lastDy=0},handleEvent:function n(t){switch(t.type){case"drop":case"dragend":this._onDrop(t);break;case"dragenter":case"dragover":dragEl&&(this._onDragOver(t),_globalDragOver(t));break;case"selectstart":t.preventDefault();break}},toArray:function n(){for(var t=[],r,a=this.el.children,s=0,l=a.length,u=this.options;s<l;s++)r=a[s],closest(r,u.draggable,this.el,!1)&&t.push(r.getAttribute(u.dataIdAttr)||_generateId(r));return t},sort:function n(t,r){var a={},s=this.el;this.toArray().forEach(function(l,u){var _=s.children[u];closest(_,this.options.draggable,s,!1)&&(a[l]=_)},this),r&&this.captureAnimationState(),t.forEach(function(l){a[l]&&(s.removeChild(a[l]),s.appendChild(a[l]))}),r&&this.animateAll()},save:function n(){var t=this.options.store;t&&t.set&&t.set(this)},closest:function n(t,r){return closest(t,r||this.options.draggable,this.el,!1)},option:function n(t,r){var a=this.options;if(r===void 0)return a[t];var s=PluginManager.modifyOption(this,t,r);typeof s<"u"?a[t]=s:a[t]=r,t==="group"&&_prepareGroup(a)},destroy:function n(){pluginEvent("destroy",this);var t=this.el;t[expando]=null,off(t,"mousedown",this._onTapStart),off(t,"touchstart",this._onTapStart),off(t,"pointerdown",this._onTapStart),this.nativeDraggable&&(off(t,"dragover",this),off(t,"dragenter",this)),Array.prototype.forEach.call(t.querySelectorAll("[draggable]"),function(r){r.removeAttribute("draggable")}),this._onDrop(),this._disableDelayedDragEvents(),sortables.splice(sortables.indexOf(this.el),1),this.el=t=null},_hideClone:function n(){if(!cloneHidden){if(pluginEvent("hideClone",this),Sortable.eventCanceled)return;css(cloneEl,"display","none"),this.options.removeCloneOnHide&&cloneEl.parentNode&&cloneEl.parentNode.removeChild(cloneEl),cloneHidden=!0}},_showClone:function n(t){if(t.lastPutMode!=="clone"){this._hideClone();return}if(cloneHidden){if(pluginEvent("showClone",this),Sortable.eventCanceled)return;dragEl.parentNode==rootEl&&!this.options.group.revertClone?rootEl.insertBefore(cloneEl,dragEl):nextEl?rootEl.insertBefore(cloneEl,nextEl):rootEl.appendChild(cloneEl),this.options.group.revertClone&&this.animate(dragEl,cloneEl),css(cloneEl,"display",""),cloneHidden=!1}}};function _globalDragOver(n){n.dataTransfer&&(n.dataTransfer.dropEffect="move"),n.cancelable&&n.preventDefault()}function _onMove(n,t,r,a,s,l,u,_){var m,g=n[expando],f=g.options.onMove,x;return window.CustomEvent&&!IE11OrLess&&!Edge?m=new CustomEvent("move",{bubbles:!0,cancelable:!0}):(m=document.createEvent("Event"),m.initEvent("move",!0,!0)),m.to=t,m.from=n,m.dragged=r,m.draggedRect=a,m.related=s||t,m.relatedRect=l||getRect(t),m.willInsertAfter=_,m.originalEvent=u,n.dispatchEvent(m),f&&(x=f.call(g,m,u)),x}function _disableDraggable(n){n.draggable=!1}function _unsilent(){_silent=!1}function _ghostIsFirst(n,t,r){var a=getRect(getChild(r.el,0,r.options,!0)),s=getChildContainingRectFromElement(r.el,r.options,ghostEl),l=10;return t?n.clientX<s.left-l||n.clientY<a.top&&n.clientX<a.right:n.clientY<s.top-l||n.clientY<a.bottom&&n.clientX<a.left}function _ghostIsLast(n,t,r){var a=getRect(lastChild(r.el,r.options.draggable)),s=getChildContainingRectFromElement(r.el,r.options,ghostEl),l=10;return t?n.clientX>s.right+l||n.clientY>a.bottom&&n.clientX>a.left:n.clientY>s.bottom+l||n.clientX>a.right&&n.clientY>a.top}function _getSwapDirection(n,t,r,a,s,l,u,_){var m=a?n.clientY:n.clientX,g=a?r.height:r.width,f=a?r.top:r.left,x=a?r.bottom:r.right,w=!1;if(!u){if(_&&targetMoveDistance<g*s){if(!pastFirstInvertThresh&&(lastDirection===1?m>f+g*l/2:m<x-g*l/2)&&(pastFirstInvertThresh=!0),pastFirstInvertThresh)w=!0;else if(lastDirection===1?m<f+targetMoveDistance:m>x-targetMoveDistance)return-lastDirection}else if(m>f+g*(1-s)/2&&m<x-g*(1-s)/2)return _getInsertDirection(t)}return w=w||u,w&&(m<f+g*l/2||m>x-g*l/2)?m>f+g/2?1:-1:0}function _getInsertDirection(n){return index(dragEl)<index(n)?1:-1}function _generateId(n){for(var t=n.tagName+n.className+n.src+n.href+n.textContent,r=t.length,a=0;r--;)a+=t.charCodeAt(r);return a.toString(36)}function _saveInputCheckedState(n){savedInputChecked.length=0;for(var t=n.getElementsByTagName("input"),r=t.length;r--;){var a=t[r];a.checked&&savedInputChecked.push(a)}}function _nextTick(n){return setTimeout(n,0)}function _cancelNextTick(n){return clearTimeout(n)}documentExists&&on(document,"touchmove",function(n){(Sortable.active||awaitingDragStarted)&&n.cancelable&&n.preventDefault()});Sortable.utils={on,off,css,find,is:function n(t,r){return!!closest(t,r,t,!1)},extend,throttle,closest,toggleClass,clone,index,nextTick:_nextTick,cancelNextTick:_cancelNextTick,detectDirection:_detectDirection,getChild};Sortable.get=function(n){return n[expando]};Sortable.mount=function(){for(var n=arguments.length,t=new Array(n),r=0;r<n;r++)t[r]=arguments[r];t[0].constructor===Array&&(t=t[0]),t.forEach(function(a){if(!a.prototype||!a.prototype.constructor)throw"Sortable: Mounted plugin must be a constructor function, not ".concat({}.toString.call(a));a.utils&&(Sortable.utils=_objectSpread2(_objectSpread2({},Sortable.utils),a.utils)),PluginManager.mount(a)})};Sortable.create=function(n,t){return new Sortable(n,t)};Sortable.version=version;var autoScrolls=[],scrollEl,scrollRootEl,scrolling=!1,lastAutoScrollX,lastAutoScrollY,touchEvt$1,pointerElemChangedInterval;function AutoScrollPlugin(){function n(){this.defaults={scroll:!0,forceAutoScrollFallback:!1,scrollSensitivity:30,scrollSpeed:10,bubbleScroll:!0};for(var t in this)t.charAt(0)==="_"&&typeof this[t]=="function"&&(this[t]=this[t].bind(this))}return n.prototype={dragStarted:function(r){var 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a=r.originalEvent;!this.options.dragOverBubble&&!a.rootEl&&this._handleAutoScroll(a)},drop:function(){this.sortable.nativeDraggable?off(document,"dragover",this._handleAutoScroll):(off(document,"pointermove",this._handleFallbackAutoScroll),off(document,"touchmove",this._handleFallbackAutoScroll),off(document,"mousemove",this._handleFallbackAutoScroll)),clearPointerElemChangedInterval(),clearAutoScrolls(),cancelThrottle()},nulling:function(){touchEvt$1=scrollRootEl=scrollEl=scrolling=pointerElemChangedInterval=lastAutoScrollX=lastAutoScrollY=null,autoScrolls.length=0},_handleFallbackAutoScroll:function(r){this._handleAutoScroll(r,!0)},_handleAutoScroll:function(r,a){var s=this,l=(r.touches?r.touches[0]:r).clientX,u=(r.touches?r.touches[0]:r).clientY,_=document.elementFromPoint(l,u);if(touchEvt$1=r,a||this.options.forceAutoScrollFallback||Edge||IE11OrLess||Safari){autoScroll(r,this.options,_,a);var m=getParentAutoScrollElement(_,!0);scrolling&&(!pointerElemChangedInterval||l!==lastAutoScrollX||u!==lastAutoScrollY)&&(pointerElemChangedInterval&&clearPointerElemChangedInterval(),pointerElemChangedInterval=setInterval(function(){var g=getParentAutoScrollElement(document.elementFromPoint(l,u),!0);g!==m&&(m=g,clearAutoScrolls()),autoScroll(r,s.options,g,a)},10),lastAutoScrollX=l,lastAutoScrollY=u)}else{if(!this.options.bubbleScroll||getParentAutoScrollElement(_,!0)===getWindowScrollingElement()){clearAutoScrolls();return}autoScroll(r,this.options,getParentAutoScrollElement(_,!1),!1)}}},_extends(n,{pluginName:"scroll",initializeByDefault:!0})}function clearAutoScrolls(){autoScrolls.forEach(function(n){clearInterval(n.pid)}),autoScrolls=[]}function clearPointerElemChangedInterval(){clearInterval(pointerElemChangedInterval)}var autoScroll=throttle(function(n,t,r,a){if(t.scroll){var s=(n.touches?n.touches[0]:n).clientX,l=(n.touches?n.touches[0]:n).clientY,u=t.scrollSensitivity,_=t.scrollSpeed,m=getWindowScrollingElement(),g=!1,f;scrollRootEl!==r&&(scrollRootEl=r,clearAutoScrolls(),scrollEl=t.scroll,f=t.scrollFn,scrollEl===!0&&(scrollEl=getParentAutoScrollElement(r,!0)));var x=0,w=scrollEl;do{var Z=w,Ce=getRect(Z),ne=Ce.top,$e=Ce.bottom,Ie=Ce.left,Dt=Ce.right,Lr=Ce.width,ec=Ce.height,ys=void 0,tc=void 0,nc=Z.scrollWidth,ac=Z.scrollHeight,sc=css(Z),cc=Z.scrollLeft,uc=Z.scrollTop;Z===m?(ys=Lr<nc&&(sc.overflowX==="auto"||sc.overflowX==="scroll"||sc.overflowX==="visible"),tc=ec<ac&&(sc.overflowY==="auto"||sc.overflowY==="scroll"||sc.overflowY==="visible")):(ys=Lr<nc&&(sc.overflowX==="auto"||sc.overflowX==="scroll"),tc=ec<ac&&(sc.overflowY==="auto"||sc.overflowY==="scroll"));var lc=ys&&(Math.abs(Dt-s)<=u&&cc+Lr<nc)-(Math.abs(Ie-s)<=u&&!!cc),e0=tc&&(Math.abs($e-l)<=u&&uc+ec<ac)-(Math.abs(ne-l)<=u&&!!uc);if(!autoScrolls[x])for(var dc=0;dc<=x;dc++)autoScrolls[dc]||(autoScrolls[dc]={});(autoScrolls[x].vx!=lc||autoScrolls[x].vy!=e0||autoScrolls[x].el!==Z)&&(autoScrolls[x].el=Z,autoScrolls[x].vx=lc,autoScrolls[x].vy=e0,clearInterval(autoScrolls[x].pid),(lc!=0||e0!=0)&&(g=!0,autoScrolls[x].pid=setInterval((function(){a&&this.layer===0&&Sortable.active._onTouchMove(touchEvt$1);var kc=autoScrolls[this.layer].vy?autoScrolls[this.layer].vy*_:0,Jc=autoScrolls[this.layer].vx?autoScrolls[this.layer].vx*_:0;typeof f=="function"&&f.call(Sortable.dragged.parentNode[expando],Jc,kc,n,touchEvt$1,autoScrolls[this.layer].el)!=="continue"||scrollBy(autoScrolls[this.layer].el,Jc,kc)}).bind({layer:x}),24))),x++}while(t.bubbleScroll&&w!==m&&(w=getParentAutoScrollElement(w,!1)));scrolling=g}},30),drop=function n(t){var r=t.originalEvent,a=t.putSortable,s=t.dragEl,l=t.activeSortable,u=t.dispatchSortableEvent,_=t.hideGhostForTarget,m=t.unhideGhostForTarget;if(r){var g=a||l;_();var f=r.changedTouches&&r.changedTouches.length?r.changedTouches[0]:r,x=document.elementFromPoint(f.clientX,f.clientY);m(),g&&!g.el.contains(x)&&(u("spill"),this.onSpill({dragEl:s,putSortable:a}))}};function Revert(){}Revert.prototype={startIndex:null,dragStart:function n(t){var r=t.oldDraggableIndex;this.startIndex=r},onSpill:function n(t){var r=t.dragEl,a=t.putSortable;this.sortable.captureAnimationState(),a&&a.captureAnimationState();var s=getChild(this.sortable.el,this.startIndex,this.options);s?this.sortable.el.insertBefore(r,s):this.sortable.el.appendChild(r),this.sortable.animateAll(),a&&a.animateAll()},drop};_extends(Revert,{pluginName:"revertOnSpill"});function Remove(){}Remove.prototype={onSpill:function n(t){var r=t.dragEl,a=t.putSortable,s=a||this.sortable;s.captureAnimationState(),r.parentNode&&r.parentNode.removeChild(r),s.animateAll()},drop};_extends(Remove,{pluginName:"removeOnSpill"});Sortable.mount(new AutoScrollPlugin);Sortable.mount(Remove,Revert);function create_fragment$k(n){let t,r,a=n[0].replaceAll("_"," ")+"",s,l,u,_,m,g;return{c(){t=element("div"),r=element("div"),s=text$2(a),l=space(),u=element("button"),u.innerHTML='<i class="text-coopmaths-action hover:text-coopmaths-action-lightest dark:text-coopmathsdark-action dark:hover:text-coopmathsdark-action-lightest bx bx-x font-semibold text-base"></i>',attr(r,"class","block w-10/12 px-1 text-center text-coopmaths-canvas dark:text-coopmathsdark-canvas text-xs text-ellipsis overflow-hidden whitespace-nowrap"),attr(u,"class","ml-2 w-2/12 bg-transparent hover focus:outline-none cursor-pointer"),attr(t,"id",_="exo-"+n[1]),attr(t,"class","flex justify-center w-full items-center rounded-full bg-coopmaths-struct dark:bg-coopmathsdark-struct pl-1 pr-2 py-[1px] shadow-sm cursor-move")},m(f,x){insert(f,t,x),append$1(t,r),append$1(r,s),append$1(t,l),append$1(t,u),m||(g=listen(u,"click",n[2]),m=!0)},p(f,[x]){x&1&&a!==(a=f[0].replaceAll("_"," ")+"")&&set_data(s,a),x&2&&_!==(_="exo-"+f[1])&&attr(t,"id",_)},i:noop,o:noop,d(f){f&&detach(t),m=!1,g()}}}function instance$k(n,t,r){let{text:a=""}=t,{indice:s}=t;function l(){exercicesParams.update(u=>[...u.slice(0,s),...u.slice(s+1)])}return n.$$set=u=>{"text"in u&&r(0,a=u.text),"indice"in u&&r(1,s=u.indice)},[a,s,l]}class ChipExo extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$k,create_fragment$k,safe_not_equal,{text:0,indice:1})}}function get_each_context$1(n,t,r){const a=n.slice();return a[4]=t[r],a[6]=r,a}function create_each_block$1(n,t){let r,a,s;return a=new ChipExo({props:{text:t[4].title,indice:t[6]}}),{key:n,first:null,c(){r=empty$1(),create_component(a.$$.fragment),this.first=r},m(l,u){insert(l,r,u),mount_component(a,l,u),s=!0},p(l,u){t=l;const _={};u&2&&(_.text=t[4].title),u&2&&(_.indice=t[6]),a.$set(_)},i(l){s||(transition_in(a.$$.fragment,l),s=!0)},o(l){transition_out(a.$$.fragment,l),s=!1},d(l){l&&detach(r),destroy_component(a,l)}}}function create_fragment$j(n){let t,r,a,s,l,u,_,m,g,f=[],x=new Map,w,Z,Ce,ne=ensure_array_like(n[1]);const $e=Ie=>Ie[4].key;for(let Ie=0;Ie<ne.length;Ie+=1){let Dt=get_each_context$1(n,ne,Ie),Lr=$e(Dt);x.set(Lr,f[Ie]=create_each_block$1(Lr,Dt))}return{c(){t=element("div"),r=element("div"),a=element("button"),a.innerHTML='<i class="bx bx-x text-2xl text-coopmaths-action hover:text-coopmaths-action-lightest"></i>',s=space(),l=element("div"),l.textContent="Réorganisation des exercices",u=space(),_=element("div"),_.textContent="Saisir un exercice et le déposer à la place souhaitée.",m=space(),g=element("div");for(let Ie=0;Ie<f.length;Ie+=1)f[Ie].c();attr(a,"class","absolute -right-3 -top-3"),attr(a,"type","button"),attr(l,"class","text-coopmaths-struct font-semibold text-lg"),attr(_,"class","p-2 text-coopmaths-corpus-light text-sm font-extralight"),attr(r,"class","relative w-full flex flex-col"),attr(g,"class","w-full grid justify-items-stretch place-content-stretch grid-cols-2 sm:grid-cols-4 md:grid-cols-6 lg:grid-cols-7 xl:grid-cols-8 2xl:grid-cols-10 gap-2 p-0 items-center overflow-x-auto whitespace-nowrap"),attr(g,"id","chips-list"),attr(t,"class","w-full flex flex-col space-y-6")},m(Ie,Dt){insert(Ie,t,Dt),append$1(t,r),append$1(r,a),append$1(r,s),append$1(r,l),append$1(r,u),append$1(r,_),append$1(t,m),append$1(t,g);for(let Lr=0;Lr<f.length;Lr+=1)f[Lr]&&f[Lr].m(g,null);w=!0,Z||(Ce=listen(a,"click",n[3]),Z=!0)},p(Ie,[Dt]){Dt&2&&(ne=ensure_array_like(Ie[1]),group_outros(),f=update_keyed_each(f,Dt,$e,1,Ie,ne,x,g,outro_and_destroy_block,create_each_block$1,null,get_each_context$1),check_outros())},i(Ie){if(!w){for(let Dt=0;Dt<ne.length;Dt+=1)transition_in(f[Dt]);w=!0}},o(Ie){for(let Dt=0;Dt<f.length;Dt+=1)transition_out(f[Dt]);w=!1},d(Ie){Ie&&detach(t);for(let Dt=0;Dt<f.length;Dt+=1)f[Dt].d();Z=!1,Ce()}}}function instance$j(n,t,r){let a;component_subscribe(n,exercicesParams,_=>r(2,a=_));let{chipsListDisplayed:s}=t,l=[];onMount(()=>{Sortable.create(document.getElementById("chips-list"),{animation:150,onEnd:_=>{exercicesParams.update(m=>moveExercice(m,_.oldIndex,_.newIndex))}})});const u=()=>{r(0,s=!1)};return n.$$set=_=>{"chipsListDisplayed"in _&&r(0,s=_.chipsListDisplayed)},n.$$.update=()=>{if(n.$$.dirty&4){const _=[];let m,g;for(const[f,x]of a.entries()){m=exercisesUuidRanking(a),g=uuidCount(a);const w=`${g[x.uuid]>1?" ["+m[f]+"]":""}`,Z=getUniqueStringBasedOnTimeStamp(f.toString()),Ce={ref:x.id??x.uuid,title:`${x.id??x.uuid}${w}`,key:Z};_.push(Ce)}r(1,l=_)}},[s,l,a,u]}class ChipsList extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$j,create_fragment$j,safe_not_equal,{chipsListDisplayed:0})}}function create_if_block$3(n){let t,r,a,s,l,u;function _(g){n[1](g)}let m={};return n[0]!==void 0&&(m.chipsListDisplayed=n[0]),r=new ChipsList({props:m}),binding_callbacks.push(()=>bind(r,"chipsListDisplayed",_)),{c(){t=element("div"),create_component(r.$$.fragment),attr(t,"id","exoChipsList"),attr(t,"class","z-[1090] fixed top-1/2 -translate-y-1/2 left-1/2 -translate-x-1/2 w-2/3 flex flex-row justify-start items-center p-8 rounded-md shadow-2xl bg-coopmaths-canvas-dark dark:bg-coopmathsdark-canvas-dark p")},m(g,f){insert(g,t,f),mount_component(r,t,null),u=!0},p(g,f){const x={};!a&&f&1&&(a=!0,x.chipsListDisplayed=g[0],add_flush_callback(()=>a=!1)),r.$set(x)},i(g){u||(transition_in(r.$$.fragment,g),g&&add_render_callback(()=>{u&&(l&&l.end(1),s=create_in_transition(t,fly,{y:-1e3}),s.start())}),u=!0)},o(g){transition_out(r.$$.fragment,g),s&&s.invalidate(),g&&(l=create_out_transition(t,blur,{})),u=!1},d(g){g&&detach(t),destroy_component(r),g&&l&&l.end()}}}function create_fragment$i(n){let t,r,a=n[0]&&create_if_block$3(n);return{c(){a&&a.c(),t=empty$1()},m(s,l){a&&a.m(s,l),insert(s,t,l),r=!0},p(s,[l]){s[0]?a?(a.p(s,l),l&1&&transition_in(a,1)):(a=create_if_block$3(s),a.c(),transition_in(a,1),a.m(t.parentNode,t)):a&&(group_outros(),transition_out(a,1,1,()=>{a=null}),check_outros())},i(s){r||(transition_in(a),r=!0)},o(s){transition_out(a),r=!1},d(s){s&&detach(t),a&&a.d(s)}}}function instance$i(n,t,r){let{reorderModalDisplayed:a}=t;function s(l){a=l,r(0,a)}return n.$$set=l=>{"reorderModalDisplayed"in l&&r(0,a=l.reorderModalDisplayed)},[a,s]}class ModalReorder extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$i,create_fragment$i,safe_not_equal,{reorderModalDisplayed:0})}}function create_fragment$h(n){let t,r,a,s,l,u;return r=new Button({props:{title:"",icon:"bx-zoom-out",class:"flex items-center text-3xl"}}),r.$on("click",n[1]),l=new Button({props:{title:"",icon:"bx-zoom-in",class:"flex items-center text-3xl"}}),l.$on("click",n[2]),{c(){t=element("div"),create_component(r.$$.fragment),a=space(),s=element("div"),create_component(l.$$.fragment),attr(t,"class","tooltip tooltip-bottom"),attr(t,"data-tip","Réduire la taille du texte"),attr(s,"class","tooltip tooltip-bottom"),attr(s,"data-tip","Augmenter la taille du texte")},m(_,m){insert(_,t,m),mount_component(r,t,null),insert(_,a,m),insert(_,s,m),mount_component(l,s,null),u=!0},p:noop,i(_){u||(transition_in(r.$$.fragment,_),transition_in(l.$$.fragment,_),u=!0)},o(_){transition_out(r.$$.fragment,_),transition_out(l.$$.fragment,_),u=!1},d(_){_&&(detach(t),detach(a),detach(s)),destroy_component(r),destroy_component(l)}}}function instance$h(n,t,r){let{zoomUpdate:a}=t;const s=()=>a("-"),l=()=>a("+");return n.$$set=u=>{"zoomUpdate"in u&&r(0,a=u.zoomUpdate)},[a,s,l]}class ZoomButtons extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$h,create_fragment$h,safe_not_equal,{zoomUpdate:0})}}function create_fragment$g(n){let t,r,a,s,l,u,_;return a=new TwoStatesIcon({props:{isOnStateActive:n[1],size:7}}),{c(){t=element("button"),r=element("div"),create_component(a.$$.fragment),attr(r,"class","px-2"),attr(t,"type","button"),attr(t,"class","tooltip tooltip-bottom tooltip-neutral"),attr(t,"data-tip",s=n[1]?"Supprimer l'interactivité":"Tous les exercices en interactif")},m(m,g){insert(m,t,g),append$1(t,r),mount_component(a,r,null),l=!0,u||(_=listen(t,"click",n[2]),u=!0)},p(m,[g]){const f={};g&2&&(f.isOnStateActive=m[1]),a.$set(f),(!l||g&2&&s!==(s=m[1]?"Supprimer l'interactivité":"Tous les exercices en interactif"))&&attr(t,"data-tip",s)},i(m){l||(transition_in(a.$$.fragment,m),l=!0)},o(m){transition_out(a.$$.fragment,m),l=!1},d(m){m&&detach(t),destroy_component(a),u=!1,_()}}}function instance$g(n,t,r){let{setAllInteractive:a}=t,s=!1;const l=()=>{r(1,s=!s),a(s)};return n.$$set=u=>{"setAllInteractive"in u&&r(0,a=u.setAllInteractive)},[a,s,l]}class InteractivityButton extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$g,create_fragment$g,safe_not_equal,{setAllInteractive:0})}}function create_fragment$f(n){let t,r,a;return r=new Button({props:{title:"",icon:"bx-transfer",class:"flex items-center text-3xl rotate-90"}}),r.$on("click",n[1]),{c(){t=element("div"),create_component(r.$$.fragment),attr(t,"class","tooltip tooltip-bottom"),attr(t,"data-tip","Réorganisation")},m(s,l){insert(s,t,l),mount_component(r,t,null),a=!0},p:noop,i(s){a||(transition_in(r.$$.fragment,s),a=!0)},o(s){transition_out(r.$$.fragment,s),a=!1},d(s){s&&detach(t),destroy_component(r)}}}function instance$f(n,t,r){let{reorderModalDisplayed:a}=t;const s=()=>{r(0,a=!a)};return n.$$set=l=>{"reorderModalDisplayed"in l&&r(0,a=l.reorderModalDisplayed)},[a,s]}class ReorderButton extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$f,create_fragment$f,safe_not_equal,{reorderModalDisplayed:0})}}function create_fragment$e(n){let t,r,a;return r=new Button({props:{title:"",icon:"bx-refresh",class:"flex items-center text-3xl"}}),r.$on("click",function(){is_function(n[0])&&n[0].apply(this,arguments)}),{c(){t=element("div"),create_component(r.$$.fragment),attr(t,"class","tooltip tooltip-bottom"),attr(t,"data-tip","Nouveaux énoncés")},m(s,l){insert(s,t,l),mount_component(r,t,null),a=!0},p(s,[l]){n=s},i(s){a||(transition_in(r.$$.fragment,s),a=!0)},o(s){transition_out(r.$$.fragment,s),a=!1},d(s){s&&detach(t),destroy_component(r)}}}function instance$e(n,t,r){let{newDataForAll:a}=t;return n.$$set=s=>{"newDataForAll"in s&&r(0,a=s.newDataForAll)},[a]}class NewDataButton extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$e,create_fragment$e,safe_not_equal,{newDataForAll:0})}}function create_fragment$d(n){let t,r,a;return r=new Button({props:{title:"",icon:"bx-trash",class:"text-3xl"}}),r.$on("click",function(){is_function(n[0])&&n[0].apply(this,arguments)}),{c(){t=element("div"),create_component(r.$$.fragment),attr(t,"class","tooltip tooltip-bottom"),attr(t,"data-tip","Supprimer tous les exercices")},m(s,l){insert(s,t,l),mount_component(r,t,null),a=!0},p(s,[l]){n=s},i(s){a||(transition_in(r.$$.fragment,s),a=!0)},o(s){transition_out(r.$$.fragment,s),a=!1},d(s){s&&detach(t),destroy_component(r)}}}function instance$d(n,t,r){let{trash:a}=t;return n.$$set=s=>{"trash"in s&&r(0,a=s.trash)},[a]}class TrashButton extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$d,create_fragment$d,safe_not_equal,{trash:0})}}function create_icon_to_switch_on_slot(n){let t;return{c(){t=element("i"),attr(t,"slot","icon_to_switch_on"),attr(t,"class","bx bx-fullscreen text-3xl hover:text-coopmaths-action-lightest text-coopmaths-action dark:text-coopmathsdark-action dark:hover:text-coopmathsdark-action-lightest")},m(r,a){insert(r,t,a)},p:noop,d(r){r&&detach(t)}}}function create_icon_to_switch_off_slot(n){let t;return{c(){t=element("i"),attr(t,"slot","icon_to_switch_off"),attr(t,"class","bx bx-exit-fullscreen text-3xl hover:text-coopmaths-action-lightest text-coopmaths-action dark:text-coopmathsdark-action dark:hover:text-coopmathsdark-action-lightest")},m(r,a){insert(r,t,a)},p:noop,d(r){r&&detach(t)}}}function create_fragment$c(n){let t,r,a,s,l,u,_;return a=new TwoStatesIcon({props:{isOnStateActive:n[1],$$slots:{icon_to_switch_off:[create_icon_to_switch_off_slot],icon_to_switch_on:[create_icon_to_switch_on_slot]},$$scope:{ctx:n}}}),{c(){t=element("button"),r=element("div"),create_component(a.$$.fragment),attr(r,"class","px-2"),attr(t,"type","button"),attr(t,"class","tooltip tooltip-bottom tooltip-neutral"),attr(t,"data-tip",s=n[1]?"Quitter le plein écran":"Plein écran")},m(m,g){insert(m,t,g),append$1(t,r),mount_component(a,r,null),l=!0,u||(_=listen(t,"click",n[2]),u=!0)},p(m,[g]){const f={};g&2&&(f.isOnStateActive=m[1]),g&8&&(f.$$scope={dirty:g,ctx:m}),a.$set(f),(!l||g&2&&s!==(s=m[1]?"Quitter le plein écran":"Plein 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FullscreenButton({props:{setFullScreen:n[5]}}),{c(){create_component(t.$$.fragment),r=space(),create_component(a.$$.fragment),s=space(),create_component(l.$$.fragment),_=space(),create_component(m.$$.fragment),g=space(),create_component(f.$$.fragment),x=space(),create_component(w.$$.fragment)},m($e,Ie){mount_component(t,$e,Ie),insert($e,r,Ie),mount_component(a,$e,Ie),insert($e,s,Ie),mount_component(l,$e,Ie),insert($e,_,Ie),mount_component(m,$e,Ie),insert($e,g,Ie),mount_component(f,$e,Ie),insert($e,x,Ie),mount_component(w,$e,Ie),Z=!0},p($e,[Ie]){const Dt={};Ie&2&&(Dt.zoomUpdate=$e[1]),t.$set(Dt);const Lr={};Ie&4&&(Lr.setAllInteractive=$e[2]),a.$set(Lr);const ec={};!u&&Ie&1&&(u=!0,ec.reorderModalDisplayed=$e[0],add_flush_callback(()=>u=!1)),l.$set(ec);const ys={};Ie&8&&(ys.newDataForAll=$e[3]),m.$set(ys);const tc={};Ie&16&&(tc.trash=$e[4]),f.$set(tc);const nc={};Ie&32&&(nc.setFullScreen=$e[5]),w.$set(nc)},i($e){Z||(transition_in(t.$$.fragment,$e),transition_in(a.$$.fragment,$e),transition_in(l.$$.fragment,$e),transition_in(m.$$.fragment,$e),transition_in(f.$$.fragment,$e),transition_in(w.$$.fragment,$e),Z=!0)},o($e){transition_out(t.$$.fragment,$e),transition_out(a.$$.fragment,$e),transition_out(l.$$.fragment,$e),transition_out(m.$$.fragment,$e),transition_out(f.$$.fragment,$e),transition_out(w.$$.fragment,$e),Z=!1},d($e){$e&&(detach(r),detach(s),detach(_),detach(g),detach(x)),destroy_component(t,$e),destroy_component(a,$e),destroy_component(l,$e),destroy_component(m,$e),destroy_component(f,$e),destroy_component(w,$e)}}}function instance$b(n,t,r){let{reorderModalDisplayed:a}=t,{zoomUpdate:s}=t,{setAllInteractive:l}=t,{newDataForAll:u}=t,{trash:_}=t,{setFullScreen:m}=t;function g(f){a=f,r(0,a)}return n.$$set=f=>{"reorderModalDisplayed"in f&&r(0,a=f.reorderModalDisplayed),"zoomUpdate"in f&&r(1,s=f.zoomUpdate),"setAllInteractive"in f&&r(2,l=f.setAllInteractive),"newDataForAll"in f&&r(3,u=f.newDataForAll),"trash"in f&&r(4,_=f.trash),"setFullScreen"in f&&r(5,m=f.setFullScreen)},[a,s,l,u,_,m,g]}class SetupButtons extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$b,create_fragment$b,safe_not_equal,{reorderModalDisplayed:0,zoomUpdate:1,setAllInteractive:2,newDataForAll:3,trash:4,setFullScreen:5})}}function create_fragment$a(n){let t,r,a,s,l;return{c(){t=svg_element("svg"),r=svg_element("defs"),a=svg_element("g"),s=svg_element("path"),attr(r,"id","defs504"),attr(s,"d","M 0.39741874,0 V 8.466666 H 1.3535184 V 5.0799995 C 1.6990966,5.0684802 2.0446748,4.9417683 2.2635409,4.59619 2.516965,4.1930155 2.6667156,3.4903397 2.6667156,2.53424 2.6667156,1.5781402 2.516965,0.9100225 2.2635409,0.50684742 2.0101169,0.11519274 1.7451736,0 1.3650377,0 Z M 1.3535184,3.8128794 v -2.568798 c 0.1036735,0 0.2419047,0 0.2995011,0.1267121 0.092154,0.2073467 0.092154,0.7372339 0.092154,1.2095236 0,0.4722902 0,0.9100226 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8.4576318"),attr(t,"version","1.1"),attr(t,"id","svg4191"),attr(t,"xmlns","http://www.w3.org/2000/svg"),attr(t,"xmlns:svg","http://www.w3.org/2000/svg"),attr(t,"class",_=n[0].class),attr(t,"fill","currentColor"),attr(t,"stroke","currentColor")},m(m,g){insert(m,t,g),append$1(t,r),append$1(t,a),append$1(a,s),append$1(s,l),append$1(s,u)},p(m,[g]){g&1&&_!==(_=m[0].class)&&attr(t,"class",_)},i:noop,o:noop,d(m){m&&detach(t)}}}function instance$9(n,t,r){return n.$$set=a=>{r(0,t=assign$1(assign$1({},t),exclude_internal_props(a)))},t=exclude_internal_props(t),[t]}class AmcIcon extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$9,create_fragment$9,safe_not_equal,{})}}function create_fragment$8(n){let t,r,a,s,l;return{c(){t=svg_element("svg"),r=svg_element("defs"),a=svg_element("g"),s=svg_element("path"),attr(r,"id","defs2694"),attr(s,"id","path5800"),set_style(s,"fill","currentColor"),set_style(s,"stroke","none"),set_style(s,"stroke-width","0.024561"),attr(s,"d","M 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tooltip-neutral"),attr(w,"data-tip","Moodle")},m(Ie,Dt){insert(Ie,t,Dt),mount_component(r,t,null),insert(Ie,a,Dt),insert(Ie,s,Dt),insert(Ie,l,Dt),insert(Ie,u,Dt),mount_component(_,u,null),insert(Ie,m,Dt),insert(Ie,g,Dt),mount_component(f,g,null),insert(Ie,x,Dt),insert(Ie,w,Dt),mount_component(Z,w,null),Ce=!0,ne||($e=[listen(s,"click",n[2]),listen(u,"click",n[3]),listen(g,"click",n[4]),listen(w,"click",n[5])],ne=!0)},p:noop,i(Ie){Ce||(transition_in(r.$$.fragment,Ie),transition_in(_.$$.fragment,Ie),transition_in(f.$$.fragment,Ie),transition_in(Z.$$.fragment,Ie),Ce=!0)},o(Ie){transition_out(r.$$.fragment,Ie),transition_out(_.$$.fragment,Ie),transition_out(f.$$.fragment,Ie),transition_out(Z.$$.fragment,Ie),Ce=!1},d(Ie){Ie&&(detach(t),detach(a),detach(s),detach(l),detach(u),detach(m),detach(g),detach(x),detach(w)),destroy_component(r),destroy_component(_),destroy_component(f),destroy_component(Z),ne=!1,run_all($e)}}}function instance$7(n,t,r){let{handleExport:a}=t;const s=()=>a("diaporama"),l=()=>a("confeleve"),u=()=>a("latex"),_=()=>a("amc"),m=()=>a("moodle");return n.$$set=g=>{"handleExport"in g&&r(0,a=g.handleExport)},[a,s,l,u,_,m]}class ExportButtons extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$7,create_fragment$7,safe_not_equal,{handleExport:0})}}function create_setup_buttons_slot(n){let t,r,a,s;function l(_){n[7](_)}let u={zoomUpdate:n[1],setAllInteractive:n[2],newDataForAll:n[3],trash:n[4],setFullScreen:n[5]};return n[0]!==void 0&&(u.reorderModalDisplayed=n[0]),r=new SetupButtons({props:u}),binding_callbacks.push(()=>bind(r,"reorderModalDisplayed",l)),{c(){t=element("div"),create_component(r.$$.fragment),attr(t,"slot","setup-buttons"),attr(t,"class","flex flex-row justify-start items-center space-x-4")},m(_,m){insert(_,t,m),mount_component(r,t,null),s=!0},p(_,m){const g={};m&2&&(g.zoomUpdate=_[1]),m&4&&(g.setAllInteractive=_[2]),m&8&&(g.newDataForAll=_[3]),m&16&&(g.trash=_[4]),m&32&&(g.setFullScreen=_[5]),!a&&m&1&&(a=!0,g.reorderModalDisplayed=_[0],add_flush_callback(()=>a=!1)),r.$set(g)},i(_){s||(transition_in(r.$$.fragment,_),s=!0)},o(_){transition_out(r.$$.fragment,_),s=!1},d(_){_&&detach(t),destroy_component(r)}}}function create_export_buttons_slot(n){let t,r,a;return r=new ExportButtons({props:{handleExport:n[6]}}),{c(){t=element("div"),create_component(r.$$.fragment),attr(t,"slot","export-buttons"),attr(t,"class","flex flex-row justify-end items-center space-x-4")},m(s,l){insert(s,t,l),mount_component(r,t,null),a=!0},p(s,l){const u={};l&64&&(u.handleExport=s[6]),r.$set(u)},i(s){a||(transition_in(r.$$.fragment,s),a=!0)},o(s){transition_out(r.$$.fragment,s),a=!1},d(s){s&&detach(t),destroy_component(r)}}}function create_fragment$6(n){let t,r;return t=new ButtonsDeck({props:{class:"md:pl-10",$$slots:{"export-buttons":[create_export_buttons_slot],"setup-buttons":[create_setup_buttons_slot]},$$scope:{ctx:n}}}),{c(){create_component(t.$$.fragment)},m(a,s){mount_component(t,a,s),r=!0},p(a,[s]){const l={};s&383&&(l.$$scope={dirty:s,ctx:a}),t.$set(l)},i(a){r||(transition_in(t.$$.fragment,a),r=!0)},o(a){transition_out(t.$$.fragment,a),r=!1},d(a){destroy_component(t,a)}}}function instance$6(n,t,r){let{reorderModalDisplayed:a=!1}=t,{zoomUpdate:s}=t,{setAllInteractive:l}=t,{newDataForAll:u}=t,{trash:_}=t,{setFullScreen:m}=t,{handleExport:g}=t;function f(x){a=x,r(0,a)}return n.$$set=x=>{"reorderModalDisplayed"in x&&r(0,a=x.reorderModalDisplayed),"zoomUpdate"in x&&r(1,s=x.zoomUpdate),"setAllInteractive"in x&&r(2,l=x.setAllInteractive),"newDataForAll"in x&&r(3,u=x.newDataForAll),"trash"in x&&r(4,_=x.trash),"setFullScreen"in x&&r(5,m=x.setFullScreen),"handleExport"in x&&r(6,g=x.handleExport)},[a,s,l,u,_,m,g,f]}class HeaderButtons extends 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justify-center items-center bg-coopmaths-canvas dark:bg-coopmathsdark-canvas":"hidden"))&&attr(s,"class",g),(!Z||Dt&1&&f!==(f="hidden md:flex "+(Ie[0]?"xl:h-[50px] md:h-[100px]":"h-0")))&&attr(a,"class",f);const ec={};Dt&256&&(ec.reorderModalDisplayed=Ie[8]),w.$set(ec)},i(Ie){Z||(transition_in(Ce),transition_in(l.$$.fragment,Ie),transition_in(_.$$.fragment,Ie),transition_in(w.$$.fragment,Ie),Z=!0)},o(Ie){transition_out(Ce),transition_out(l.$$.fragment,Ie),transition_out(_.$$.fragment,Ie),transition_out(w.$$.fragment,Ie),Z=!1},d(Ie){Ie&&(detach(t),detach(x)),Ce&&Ce.d(),destroy_component(l),destroy_component(_),destroy_component(w,Ie)}}}function instance$4(n,t,r){let{isExerciseDisplayed:a}=t,{isNavBarVisible:s}=t,{zoomUpdate:l}=t,{setAllInteractive:u}=t,{newDataForAll:_}=t,{trash:m}=t,{setFullScreen:g}=t,{handleExport:f}=t,x;function w(Z){x=Z,r(8,x)}return n.$$set=Z=>{"isExerciseDisplayed"in Z&&r(0,a=Z.isExerciseDisplayed),"isNavBarVisible"in Z&&r(1,s=Z.isNavBarVisible),"zoomUpdate"in Z&&r(2,l=Z.zoomUpdate),"setAllInteractive"in Z&&r(3,u=Z.setAllInteractive),"newDataForAll"in Z&&r(4,_=Z.newDataForAll),"trash"in Z&&r(5,m=Z.trash),"setFullScreen"in Z&&r(6,g=Z.setFullScreen),"handleExport"in Z&&r(7,f=Z.handleExport)},[a,s,l,u,_,m,g,f,x,w]}class Header extends SvelteComponent{constructor(t){super(),init$3(this,t,instance$4,create_fragment$4,safe_not_equal,{isExerciseDisplayed:0,isNavBarVisible:1,zoomUpdate:2,setAllInteractive:3,newDataForAll:4,trash:5,setFullScreen:6,handleExport:7})}}function get_each_context(n,t,r){const a=n.slice();return a[2]=t[r],a[4]=r,a}function create_each_block(n,t){let r,a,s,l,u,_=noop,m;return a=new Exercice_1({props:{paramsExercice:t[2],indiceExercice:t[4],indiceLastExercice:t[0].length-1}}),{key:n,first:null,c(){r=element("div"),create_component(a.$$.fragment),s=space(),attr(r,"id",l="exo"+t[4]),this.first=r},m(g,f){insert(g,r,f),mount_component(a,r,null),append$1(r,s),m=!0},p(g,f){t=g;const 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