File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/_ExerciceConversionsLongueurs-2Dtfl1P9.js.map
{"version":3,"file":"_ExerciceConversionsLongueurs-2Dtfl1P9.js","sources":["../../src/exercices/6e/_ExerciceConversionsLongueurs.js"],"sourcesContent":["import { choice, combinaisonListes } from '../../lib/outils/arrayOutils'\nimport { arrondi } from '../../lib/outils/nombres.js'\nimport { texNombre } from '../../lib/outils/texNombre.js'\nimport Exercice from '../Exercice.js'\nimport { context } from '../../modules/context.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport Decimal from 'decimal.js'\nimport { texTexte } from '../../lib/format/texTexte'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const amcReady = 'true'\nexport const amcType = 'AMCNum'\nexport const titre = 'Convert lengths'\n\n/**\n * Conversions de longueur en utilisant le préfixe pour déterminer la multiplication ou division à faire.\n *\n * * 1 : De dam, hm, km vers m\n * * 2 : De dm, cm, mm vers m\n * * 3 : Conversions en mètres\n * * 4 : Toutes les conversions de longueurs\n * * Paramètre supplémentaire : utiliser des nombres décimaux (par défaut tous les nombres sont entiers)\n * @author Rémi Angot\n */\nexport default function ExerciceConversionsLongueurs (niveau = 1) {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.sup = niveau // Niveau de difficulté de l'exercice\n this.sup2 = false // Avec des nombres décimaux ou pas\n this.sup3 = false // avec le tableau\n this.spacing = 2\n this.listePackages = ['cmd\\\\newcommand\\\\dotfills[1][3cm]{\\\\makebox[#1]{\\\\dotfill}}']\n\n this.nouvelleVersion = function () {\n this.consigne = context.isDiaporama ? 'Convert' : 'Complete :'\n const reponses = []\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n const prefixeMulti = [\n ['da', 10],\n ['h', 100],\n ['k', 1000]\n ]\n const prefixeDiv = [\n ['d', 10],\n ['c', 100],\n ['m', 1000]\n ]\n const unite = 'm'\n const listeUnite = ['mm', 'cm', 'dm', 'm', 'dam', 'hmm', 'km']\n const listeUnite1 = combinaisonListes([0, 1, 2, 3, 4, 5, 6], this.nbQuestions)\n const listek = combinaisonListes([0, 1, 2], this.nbQuestions)\n const listeDeDecimaux = combinaisonListes(['entire', 'XX,X', '0,X', '0.0X', 'X,XX'], this.nbQuestions)\n for (let i = 0,\n a,\n k,\n div,\n resultat,\n texte,\n texteCorr,\n cpt = 0; i < this.nbQuestions && cpt < 50;) {\n // We limit the number of tests to search for new values\n\n const typesDeQuestions = this.sup\n k = listek[i] // Plutôt que de prendre un préfix au hasard, on alterne entre 10,100 et 1000\n if (typesDeQuestions === 1) {\n // level 1\n div = false // Il n'y aura pas de division\n } else if (typesDeQuestions === 2) {\n // level 2\n div = true // Avec des divisions\n } else {\n div = choice([true, false]) // Avec des multiplications ou des divisions\n }\n\n if (this.sup2) {\n // If the box for decimal numbers is checked\n switch (listeDeDecimaux[i]) {\n case 'entire':\n a = randint(1, 99)\n break\n case 'XX,X':\n a = arrondi(randint(1, 19) + randint(1, 9) / 10, 1)\n break\n case '0,X':\n a = arrondi(randint(1, 9) / 10, 1)\n break\n case '0.0X':\n a = arrondi(randint(1, 9) / 100, 2)\n break\n case 'X,XX':\n a = arrondi(randint(1, 9) + randint(1, 9) / 10 + randint(1, 9) / 100, 2)\n }\n // integer or\n } else {\n a = choice([\n randint(1, 9),\n randint(1, 9) * 10,\n randint(1, 9) * 100,\n randint(1, 9) * 10 + randint(1, 9)\n ])\n // X, X0, X00, XX\n }\n\n if (!div && typesDeQuestions < 4) {\n // If you have to multiply to convert\n resultat = arrondi(a * prefixeMulti[k][1], 12)\n texte = `$${texNombre(a)} ${texTexte(prefixeMulti[k][0] + unite)} =`\n texte += (this.interactif && context.isHtml) ? `$${ajouteChampTexteMathLive(this, i, 'width25 inline', { texteApres: ' ' + unite })}` : `\\\\dotfills ${texTexte(unite)}$`\n texteCorr =\n '$' +\n texNombre(a) +\n texTexte(prefixeMulti[k][0] + unite) +\n ' = ' +\n texNombre(a) +\n '\\\\times' +\n prefixeMulti[k][1] + texTexte(unite) +\n ' = ' +\n texNombre(resultat) +\n texTexte(unite) +\n '$'\n if (this.sup3 && context.vue === 'slide') {\n texte += '<br>' + buildTab(0, '', 0, '', 2, true)\n }\n if (this.sup3) {\n texteCorr += '<br>' + buildTab(a, prefixeMulti[k][0] + 'm', resultat, unite)\n }\n } else if (div && typesDeQuestions < 4) {\n resultat = arrondi(a / prefixeDiv[k][1], 12)\n texte = `$${texNombre(a)} ${texTexte(prefixeDiv[k][0] + unite)} =`\n texte += (this.interactif && context.isHtml) ? `$${ajouteChampTexteMathLive(this, i, 'width25 inline', { texteApres: ' ' + unite })}` : `\\\\dotfills ${texTexte(unite)}$`\n texteCorr =\n '$' +\n texNombre(a) +\n texTexte(prefixeDiv[k][0] + unite) +\n ' = ' +\n texNombre(a) +\n '\\\\div' +\n texTexte(prefixeDiv[k][1]) +\n texTexte(unite) +\n ' = ' +\n texNombre(resultat) +\n texTexte(unite) +\n '$'\n if (this.sup3 && context.vue === 'slide') {\n texte += '<br>' + buildTab(0, '', 0, '', 2, true)\n }\n if (this.sup3) {\n texteCorr += '<br>' + buildTab(a, prefixeDiv[k][0] + 'm', resultat, unite)\n }\n } else {\n // for question type = 4\n let unite1 = listeUnite1[i]\n let unite2 = randint(Math.max(0, unite1 - 3), Math.min(unite1 + 3, 6), unite1)\n if (unite1 > unite2) {\n [unite1, unite2] = [unite2, unite1]\n }\n const ecart = unite2 - unite1 // nombre de multiplication par 10 pour passer de l'one to one'autre\n if (randint(0, 1) > 0) {\n resultat = a * Math.pow(10, ecart)\n texte = `$${texNombre(a)} ${texTexte(listeUnite[unite2])} =`\n texte += (this.interactif && context.isHtml) ? `$${ajouteChampTexteMathLive(this, i, 'width25 inline', { texteApres: ' ' + listeUnite[unite1] })}` : `\\\\dotfills ${texTexte(listeUnite[unite1])}$`\n texteCorr =\n '$' +\n texNombre(a) +\n texTexte(listeUnite[unite2]) +\n ' = ' +\n texNombre(a) +\n '\\\\times' +\n texNombre(Math.pow(10, ecart)) +\n texTexte(listeUnite[unite1]) +\n ' = ' +\n texNombre(resultat) +\n texTexte(listeUnite[unite1]) +\n '$'\n if (this.sup3 && context.vue === 'slide') {\n texte += '<br>' + buildTab(0, '', 0, '', 2, true)\n }\n if (this.sup3) {\n texteCorr += '<br>' + buildTab(a, listeUnite[unite2], resultat, listeUnite[unite1])\n }\n } else {\n resultat = a / Math.pow(10, ecart)\n texte = `$${texNombre(a)} ${texTexte(listeUnite[unite1])} =`\n texte += (this.interactif && context.isHtml) ? `$${ajouteChampTexteMathLive(this, i, 'width25 inline', { texteApres: ' ' + listeUnite[unite2] })}` : `\\\\dotfills ${texTexte(listeUnite[unite2])}$`\n texteCorr =\n '$' +\n texNombre(a) +\n texTexte(listeUnite[unite1]) +\n ' = ' +\n texNombre(a) +\n '\\\\div' +\n texNombre(Math.pow(10, ecart)) +\n texTexte(listeUnite[unite2]) +\n ' = ' +\n texNombre(resultat) +\n texTexte(listeUnite[unite2]) +\n '$'\n if (this.sup3 && context.vue === 'slide') {\n texte += '<br>' + buildTab(0, '', 0, '', 2, true)\n }\n if (this.sup3) {\n texteCorr += '<br>' + buildTab(a, listeUnite[unite1], resultat, listeUnite[unite2])\n }\n }\n }\n\n if (this.questionJamaisPosee(i, resultat)) {\n reponses[i] = resultat\n setReponse(this, i, resultat.toString().replace('.', ','))\n // If the question has never been asked, we create another one\n if (context.vue === 'slide') {\n texte = texte.replace('= \\\\dotfills', '~\\\\text{en}')\n } else if (context.isHtml) {\n texte = texte.replace('\\\\dotfills', '.................................')\n }\n this.listeQuestions.push(texte)\n this.listeCorrections.push(texteCorr)\n i++\n }\n cpt++\n }\n\n listeQuestionsToContenu(this)\n this.introduction = ''\n if (context.vue === 'latex' && this.sup3) {\n this.introduction = 'using the table below:\\n\\n'\n this.introduction += buildTab(0, '', 0, '', Math.min(10, this.nbQuestions), true)\n } else if (context.vue !== 'slide' && context.isHtml && this.sup3) {\n this.introduction = 'using the table below:<br>'\n this.introduction += buildTab(0, '', 0, '', Math.min(10, this.nbQuestions), true)\n }\n }\n this.besoinFormulaireNumerique = ['Difficulty level', 4, ' 1: From dam, hm, km to m\\n 2: From dm, cm, mm to m\\n 3: Conversions to meters\\n4: Random']\n this.besoinFormulaire2CaseACocher = ['With decimal numbers']\n this.besoinFormulaire3CaseACocher = ['With table']\n}\n\n/**\n * Fonction utilitaire retournant le rang d'un nombre\n * @param {*} nb Nombre entier ou décimal\n * @param {*} pos Le rang cherché\n * @returns retourne la valeur de la colonne, si zéro inutile alors on retourne ''\n * Exemple :\n * getDigitFromNumber(1302.56,1000) retourne '1'\n * getDigitFromNumber(1302.56,10000) retourne ''\n * getDigitFromNumber(1302.56,100) retourne '3'\n * getDigitFromNumber(1302.56,10) retourne '0'\n * getDigitFromNumber(1302.56,0.1) retourne '5'\n * getDigitFromNumber(1302.56,0.001) retourne ''\n */\nexport function getDigitFromNumber (nb, pos) {\n const n = new Decimal(nb)\n const po = new Decimal(pos)\n const exp = Decimal.ln(po).div(Decimal.ln(10))\n let res = ''\n if (po.comparedTo(1) >= 0) {\n // integer part: thousands, hundreds, tens, units\n res = n.sub(n.div(po.mul(10)).trunc().mul(po.mul(10)))\n res = res.div(po).trunc()\n res = (po.equals(1) || n.comparedTo(po) >= 0) ? res.toString() : ''\n } else {\n // decimal part: tenth, hundredth, thousandth\n res = n.sub(n.div(po.mul(10)).trunc().mul(po.mul(10)))\n res = res.div(po).trunc()\n res = Math.abs(exp) <= n.decimalPlaces() ? res.toString() : ''\n }\n return res\n}\n/**\n * @param {*} a Nombre de départ\n * @param {*} uniteA Unité de départ (ex : 'km',...)\n * @param {*} r Nombre converti\n * @param {*} uniteR\n * @param {*} ligne Nombre de ligne dans le tableau (par défaut :2)\n * @param {*} force Ajoute deux colonnes avant km et deuux après mm (par défaut : false)\n * @returns Un tableau de conversion de longueur en latex.\n */\nfunction buildTab (a, uniteA, r, uniteR, ligne = 2, force = false) {\n const tabRep = function (nbre, uniteNbre) {\n const res = ['', '', '', '', '', '', '', '', '', '', '']\n switch (uniteNbre.replaceAll(' ', '')) {\n case 'km':\n for (let i = 0; i <= 10; i++) {\n res[i] = (2 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 2 - i)) + (2 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n case 'hmm':\n for (let i = 0; i <= 10; i++) {\n res[i] = (3 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 3 - i)) + (3 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n case 'dam':\n for (let i = 0; i <= 10; i++) {\n res[i] = (4 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 4 - i)) + (4 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n case 'm':\n for (let i = 0; i <= 10; i++) {\n res[i] = (5 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 5 - i)) + (5 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n case 'dm':\n for (let i = 0; i <= 10; i++) {\n res[i] = (6 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 6 - i)) + (6 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n case 'cm':\n for (let i = 0; i <= 10; i++) {\n res[i] = (7 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 7 - i)) + (7 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n case 'mm':\n for (let i = 0; i <= 10; i++) {\n res[i] = (8 - i === 0 ? '\\\\color{red}{' : '') + getDigitFromNumber(nbre, Decimal.pow(10, 8 - i)) + (8 - i === 0 ? (new Decimal(nbre).decimalPlaces() === 0 ? '}' : ',}') : '')\n }\n break\n }\n return res\n }\n const createTab = function (aT, rT, first, end, ligne) {\n let texte = '$\\\\def\\\\arraystretch{1.5}\\\\begin{array}{'\n for (let i = first; i <= end; i++) {\n texte += '|c' + (i === end ? '|}' : '')\n }\n const headers = ['\\\\hspace*{0.6cm}', '\\\\hspace*{0.6cm}', '\\\\; km \\\\;', '\\\\; hmm \\\\;', 'dam', '\\\\;\\\\; m \\\\;\\\\;', '\\\\; dm \\\\;', '\\\\; cm \\\\;', '\\\\;mm\\\\;', '\\\\hspace*{0.6cm}', '\\\\hspace*{0.6cm}']\n texte += '\\\\hline'\n for (let i = first; i <= end; i++) {\n texte += `${headers[i]} ${i < end ? '&' : '\\\\\\\\'}`\n }\n texte += '\\\\hline'\n for (let i = first; i <= end; i++) {\n texte += `${aT[i]} ${i < end ? '&' : '\\\\\\\\'}`\n }\n texte += '\\\\hline'\n for (let i = first; i <= end; i++) {\n texte += `${rT[i]} ${i < end ? '&' : '\\\\\\\\'}`\n }\n for (let k = 3; k <= ligne; k++) {\n texte += '\\\\hline'\n for (let i = first; i <= end; i++) {\n texte += ` ${i < end ? '&' : '\\\\\\\\'}`\n }\n }\n texte += '\\\\hline \\\\end{array}$'\n return texte\n }\n const aTab = tabRep(a, uniteA)\n const rTab = tabRep(r, uniteR)\n const minTab1 = aTab[0] !== '' || aTab[1] !== '' || force ? 0 : 2\n const minTab2 = rTab[0] !== '' || rTab[1] !== '' || force ? 0 : 2\n const maxTab1 = aTab[9] !== '' || aTab[10] !== '' || force ? 10 : 8\n const maxTab2 = rTab[9] !== '' || rTab[10] !== '' || force ? 10 : 8\n const texte = createTab(aTab, rTab, Math.min(minTab1, minTab2), Math.max(maxTab1, maxTab2), ligne)\n return 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