File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/_Roses-ye2MyhHM.js.map
{"version":3,"file":"_Roses-ye2MyhHM.js","sources":["../../src/exercices/6e/_Roses.js"],"sourcesContent":["/* eslint-disable camelcase */\nimport { point } from '../../lib/2d/points.js'\nimport { polygoneRegulierParCentreEtRayon } from '../../lib/2d/polygones.js'\nimport { longueur, segment } from '../../lib/2d/segmentsVecteurs.js'\nimport { latexParCoordonnees, latexParCoordonneesBox, texteParPoint } from '../../lib/2d/textes.js'\nimport { homothetie, rotation, similitude } from '../../lib/2d/transformations.js'\nimport { choice } from '../../lib/outils/arrayOutils'\nimport { lettreMinusculeDepuisChiffre, sp } from '../../lib/outils/outilString.js'\nimport { contraindreValeur, listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { calculer } from '../../modules/outilsMathjs.js'\nimport Exercice from '../Exercice.js'\nimport { mathalea2d, colorToLatexOrHTML, vide2d, fixeBordures } from '../../modules/2dGeneralites.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport { context } from '../../modules/context.js'\nimport * as pkg from '@cortex-js/compute-engine'\nimport FractionEtendue from '../../modules/FractionEtendue.js'\nconst { ComputeEngine } = pkg\nexport const interactifReady = true\nexport const interactifType = 'custom'\nexport const amcReady = true\nexport const amcType = 'AMCOpen'\nlet engine\nif (context.versionMathalea) engine = new ComputeEngine()\n\n/**\n * Travailler les tables de multiplication ou d'addition autrement\n * @author Jean-Claude Lhote\n */\nexport class Rose {\n constructor ({ values = [], nombreDeValeurs, rayon = 2, operation = 'addition', type = 'résultats', typeDonnees = 'entiers', cellulesPreremplies = Array.from('abcdefghi'), valeurMax = 10, indexInconnue = 999 }) {\n this.type = type\n this.operation = operation\n this.typeDonnees = typeDonnees\n this.nombreDeValeurs = nombreDeValeurs\n this.cellulesPreremplies = cellulesPreremplies\n this.rayon = rayon\n this.resultats = []\n this.valeurMax = valeurMax\n this.indexInconnue = indexInconnue\n\n if (values === undefined || values.length === 0) {\n while (this.valeurMax - 2 < this.nombreDeValeurs) {\n this.valeurMax++\n }\n const den = randint(2, this.valeurMax)\n for (let i = 0; i < this.nombreDeValeurs; i++) {\n switch (this.typeDonnees) {\n case 'entiers' :\n values.push(randint(2, this.valeurMax, values))\n this.rayon = 2\n break\n case 'entiers relatifs' :\n values.push(randint(-this.valeurMax, this.valeurMax, [0, 1, ...values]))\n this.rayon = 2\n break\n case 'litteraux' : {\n const value = calculer(`${randint(1, this.valeurMax)}x + ${randint(1, this.valeurMax)}`, null).printResult\n values.push(value)\n this.rayon = 3\n }\n break\n case 'fractions dénominateurs multiples':\n values.push(new FractionEtendue(randint(1, this.valeurMax), den).simplifie())\n this.rayon = 2.5\n break\n case 'fractions positives dénominateurs premiers':\n values.push(new FractionEtendue(randint(1, this.valeurMax), choice([2, 3, 5, 7])).simplifie())\n this.rayon = 2.5\n break\n\n case 'fractions positives' :\n values.push(new FractionEtendue(randint(1, this.valeurMax), randint(2, this.valeurMax)).simplifie())\n this.rayon = 2.5\n break\n case 'fractions relatives' :\n values.push(new FractionEtendue(randint(-this.valeurMax, this.valeurMax, 0), randint(2, this.valeurMax)).simplifie())\n this.rayon = 2.5\n break\n }\n }\n } else { // si elles sont définies, on complète éventuellement la grille aléatoirement.\n for (let i = this.values.length; i < this.nombreDeValeurs; i++) {\n switch (this.typeDonnees) {\n case 'entiers' :\n values.push(randint(2, this.valeurMax, values))\n break\n case 'entiers relatifs' :\n values.push(randint(-this.valeurMax, this.valeurMax, [0, 1, ...values]))\n break\n case 'litteraux' : {\n const value = calculer(`${randint(1, this.valeurMax)}x + ${randint(1, this.valeurMax)}`, null).printResult\n values.push(value)\n }\n break\n case 'fractions dénominateurs multiples':\n values.push(new FractionEtendue(randint(1, this.valeurMax), values[i - 1].d).simplifie())\n break\n case 'fractions positives dénominateurs premiers':\n values.push(new FractionEtendue(randint(1, this.valeurMax), choice([2, 3, 5, 7])).simplifie())\n break\n case 'fractions positives' :\n values.push(new FractionEtendue(randint(1, this.valeurMax), randint(2, this.valeurMax)).simplifie())\n break\n case 'fractions relatives' :\n values.push(new FractionEtendue(randint(-this.valeurMax, this.valeurMax, 0), randint(2, this.valeurMax)).simplifie())\n break\n }\n }\n }\n this.values = values\n this.calculeResultats()\n }\n\n // méthode qui calcule les résultats si on le veut (sinon on peut les renseigner dans this.resultats manuellement)\n calculeResultats () {\n for (let i = 0; i < this.nombreDeValeurs; i++) {\n this.resultats[i] = this.operate(this.values[i], this.values[(i + 1) % this.nombreDeValeurs])\n }\n }\n\n // fonction utilisée par calculeResultats\n operate (a, b) {\n switch (this.operation) {\n case 'addition':\n if (this.typeDonnees !== 'litteraux') {\n if (this.typeDonnees.substring(0, 4) === 'frac') {\n return a.sommeFraction(b) // math.fraction(math.add(a, b))\n } else {\n return a + b // math.add(a, b)\n }\n } else {\n return calculer(`${a.toString()}+${b.toString()}`, null).printResult\n }\n case 'multiplication':\n if (this.typeDonnees !== 'litteraux') {\n if (this.typeDonnees.substring(0, 4) === 'frac') {\n return a.produitFraction(b)\n } else {\n return a * b\n }\n } else {\n return calculer(`(${String(a)}) * (${String(b)})`, null).printResult\n }\n }\n }\n\n representation () {\n if (this.type === 'résultats') {\n this.rayonBoite = 1\n } else {\n if (this.typeDonnees.substring(0, 4) === 'frac') this.rayonBoite = 1.5\n else if (this.typeDonnees === 'litteraux') {\n if (this.operation === 'multiplication') this.rayonBoite = 3.2\n else this.rayonBoite = 2.5\n } else this.rayonBoite = 1\n }\n const objets = []\n const O = point(0, 0, '', '')\n const A = rotation(point(this.rayon, 0, '', ''), O, 180 / this.nombreDeValeurs - 90, 'A')\n for (let i = 0, bulle1, bulle2; i < this.nombreDeValeurs; i++) {\n const M = rotation(A, O, 360 * i / this.nombreDeValeurs, 'M')\n M.positionLabel = 'center'\n const B = similitude(M, O, 180 / this.nombreDeValeurs, 1.2, 'B')\n const D = similitude(M, O, -180 / this.nombreDeValeurs, 1.2, 'D')\n const C = homothetie(M, O, 1.5, 'C')\n const N = rotation(C, O, 360 / this.nombreDeValeurs, 'N')\n const P = similitude(M, O, 180 / this.nombreDeValeurs, 2.5, 'P')\n const s = segment(O, B, 'black')\n const t = segment(B, C, 'black')\n const u = segment(C, D, 'black')\n const M2 = homothetie(C, O, 0.6)// pointIntersectionDD(droite(B, D), droite(O, C), 'M2')\n const s1 = homothetie(segment(C, P), C, (longueur(C, P) - this.rayonBoite) / longueur(C, P))\n s1.styleExtremites = '->'\n s1.tailleExtremites = 5\n s1.pointilles = 2\n const s2 = homothetie(segment(N, P), N, (longueur(N, P) - this.rayonBoite) / longueur(N, P))\n s2.styleExtremites = '->'\n s2.tailleExtremites = 5\n s2.pointilles = 2\n if (this.type === 'can1') {\n bulle1 = vide2d() // rotation(boite({??????}), M, 180 / this.nombreDeValeurs - 90)\n } else {\n bulle1 = vide2d()\n }\n objets.push(bulle1)\n objets.push(s, t, u, s1, s2)\n bulle2 = rotation(polygoneRegulierParCentreEtRayon(P, this.rayonBoite, this.nombreDeValeurs), P, 360 / this.nombreDeValeurs - 90)\n if (this.type === 'résultats' || this.type === 'solutions' || this.type === 'can1' || this.type === 'can2') {\n if (!(this.type === 'can1' && (this.indexInconnue === i || i === (this.indexInconnue - 1) % this.nombreDeValeurs || i === (this.indexInconnue + 1) % this.nombreDeValeurs))) {\n if (!(this.type === 'can2' && (this.indexInconnue === i || i === (this.indexInconnue + 1) % this.nombreDeValeurs))) {\n if (this.typeDonnees !== 'litteraux' && this.typeDonnees.substring(0, 4) !== 'frac') {\n objets.push(texteParPoint(this.values[i].toString(), M, 'milieu', 'black', 1, 'middle', true))\n } else {\n if (this.typeDonnees !== 'litteraux') {\n if (this.values[i] instanceof FractionEtendue) {\n objets.push(latexParCoordonnees(this.values[i].toLatex(), M.x, M.y, 'black', 0, 0, 'none', 8))\n } else {\n objets.push(texteParPoint(String(this.values[i]), M, 'milieu', 'black', 1, 'middle', true))\n }\n } else {\n objets.push(latexParCoordonneesBox(this.values[i], M2.x, M2.y, 'black', 50, 12, 'none', 8, { anchor: 'center' }))\n }\n }\n }\n }\n if (this.type === 'can1' && this.indexInconnue === i) {\n objets.push(texteParPoint(lettreMinusculeDepuisChiffre(i + 1), M))\n }\n }\n if (this.type === 'solutions' || this.type === 'valeurs' || this.type === 'can1' || this.type === 'can2') { // on ajoute les produits\n if (!(this.type === 'can2' && this.indexInconnue === i)) {\n if (this.typeDonnees !== 'litteraux' && this.typeDonnees.substring(0, 4) !== 'frac') {\n objets.push(texteParPoint((this.resultats[i]).toString(), P, 'milieu', 'black', 1, 'middle', true))\n } else {\n objets.push(latexParCoordonnees(String(this.resultats[i]), P.x, P.y, 'black', 0, 0, 'none', 8))\n }\n }\n if (this.type === 'can2' && this.indexInconnue === i) {\n objets.push(texteParPoint(lettreMinusculeDepuisChiffre(i + 1), P))\n } else {\n bulle2.color = colorToLatexOrHTML('black')\n if (this.type === 'valeurs') {\n objets.push(texteParPoint(lettreMinusculeDepuisChiffre(i + 1), M))\n }\n }\n } else {\n objets.push(texteParPoint(this.cellulesPreremplies[i], P, 'milieu', 'black', 1, 'middle', true))\n }\n\n objets.push(bulle2)\n }\n return objets\n }\n}\nexport function ExoRose () {\n Exercice.call(this)\n this.spacing = 2\n this.tailleDiaporama = 1\n this.nbQuestions = 1\n this.sup = 10\n this.sup2 = 4\n this.sup3 = 1\n this.operation = 'multiplication'\n this.type = 'résultats'\n this.typeDonnees = 'entiers'\n this.nombreDeValeurs = 4\n this.valeurMax = 10\n this.roses = []\n\n this.indexInconnue = []\n this.nouvelleVersion = function () {\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n this.valeurMax = contraindreValeur(10, 30, this.sup, 10)\n this.nombreDeValeurs = contraindreValeur(3, 9, this.sup2, 5)\n switch (this.sup3) {\n case 1:\n this.type = 'résultats'\n if (this.typeDonnees.substring(0, 4) === 'frac' || this.typeDonnees === 'litteraux') {\n if (this.nombreDeValeurs > 5) this.nombreDeValeurs = 5\n }\n break\n case 2:\n this.type = 'valeurs'\n break\n case 3:\n if (this.typeDonnees.substring(0, 4) === 'frac' || this.typeDonnees === 'litteraux') {\n if (this.nombreDeValeurs > 5) this.nombreDeValeurs = 5\n }\n this.type = 'can1'\n break\n case 4:\n this.type = 'can2'\n if (this.typeDonnees.substring(0, 4) === 'frac' || this.typeDonnees === 'litteraux') {\n if (this.nombreDeValeurs > 5) this.nombreDeValeurs = 5\n }\n break\n }\n\n for (\n let i = 0, objets, objetsCorr, texte, texteCorr, cpt = 0;\n i < this.nbQuestions && cpt < 50;\n\n ) {\n this.indexInconnue[i] = randint(0, this.nombreDeValeurs - 1)\n if (this.operation === 'multiplication') {\n this.introduction = 'The numbers at the ends of the arrows are the products of the numbers from which the arrows come.'\n } else {\n this.introduction = 'The numbers at the ends of the arrows are the sums of the numbers from which the arrows come.'\n }\n switch (this.type) {\n case 'résultats':\n if (this.operation === 'multiplication') {\n texte = 'Calculate the products at the ends of the arrows.<br>'\n } else {\n texte = 'Calculate the sums at the ends of the arrows.<br>'\n }\n break\n case 'valeurs':\n if (this.operation === 'multiplication') {\n texte = 'Find the factors behind the arrows.<br>'\n } else {\n texte = 'Find the terms behind the arrows.<br>'\n }\n break\n case 'can1':\n if (this.typeDonnees.includes('entiers')) {\n texte = `Find the number in the ${lettreMinusculeDepuisChiffre(this.indexInconnue[i] + 1)} box.<br>`\n } else {\n texte = `Find the expression in the ${lettreMinusculeDepuisChiffre(this.indexInconnue[i] + 1)} box.<br>`\n }\n break\n case 'can2':\n if (this.typeDonnees.includes('entiers')) {\n texte = `Find the number in the ${lettreMinusculeDepuisChiffre(this.indexInconnue[i] + 1)} box.<br>`\n } else {\n texte = `Find the expression in the ${lettreMinusculeDepuisChiffre(this.indexInconnue[i] + 1)} box.<br>`\n }\n break\n }\n\n this.roses[i] = new Rose({\n nombreDeValeurs: this.nombreDeValeurs,\n type: this.type,\n operation: this.operation,\n valeurMax: this.valeurMax,\n typeDonnees: this.typeDonnees,\n indexInconnue: this.indexInconnue[i]\n })\n objets = this.roses[i].representation()\n this.roses[i].type = 'solutions'\n objetsCorr = this.roses[i].representation()\n texte += mathalea2d(Object.assign({ scale: 0.6 }, fixeBordures(objets)), objets)\n if (this.interactif) {\n if (this.type.substring(0, 3) === 'can') {\n texte += ajouteChampTexteMathLive(this, i, 'nospacebefor', { texteAvant: `${lettreMinusculeDepuisChiffre(this.indexInconnue[i] + 1)}=`, tailleExtensible: true })\n } else {\n for (let k = 0; k < this.nombreDeValeurs; k++) {\n texte += ajouteChampTexteMathLive(this, i * this.nombreDeValeurs + k, 'nospacebefor', { texteAvant: `${lettreMinusculeDepuisChiffre(k + 1)}=`, tailleExtensible: true })\n texte += sp(6)\n }\n }\n }\n texteCorr = mathalea2d(Object.assign({ scale: 0.6 }, fixeBordures(objetsCorr)), objetsCorr)\n if (this.questionJamaisPosee(i, ...this.roses[i].values)) {\n // Si la question n'a jamais été posée, on en crée une autre\n this.listeQuestions.push(texte)\n this.listeCorrections.push(texteCorr)\n if (context.isAmc) {\n this.autoCorrection[i] = {\n enonce: this.introduction + '<br>' + texte,\n propositions: [\n {\n texte: '',\n statut: (this.type === 'can1' || this.type === 'can2') ? 1 : Math.ceil(this.sup2 / 4), // OBLIGATOIRE (ici c'est le nombre de lignes du cadre pour la réponse de l'élève sur AMC)\n sanscadre: false, // EE : ce champ est facultatif et permet (si true) de cacher le cadre et les lignes acceptant la réponse de l'élève\n pointilles: false // EE : ce champ est facultatif et permet (si true) de cacher le cadre et les lignes acceptant la réponse de l'élève\n }\n ]\n }\n }\n i++\n }\n cpt++\n }\n listeQuestionsToContenu(this)\n }\n this.besoinFormulaireNumerique = ['Valeur maximale (entre 10 et 30) des facteurs', 30]\n this.besoinFormulaire2Numerique = ['Nombre de facteur entre 3 et 9 (limité à 5 pour les valeurs fractionnaires ou littérales)', 9]\n this.besoinFormulaire3Numerique = ['Type de questions', 4, '1 : Calculer les produits\\n2 : Calculer les facteurs\\n3 : Course aux nombres 1\\n4 : Course aux nombres 2']\n\n this.correctionInteractive = i => {\n const taille = this.nombreDeValeurs\n const champsTexte = []\n const divFeedback = this.type.substring(0, 3) === 'can'\n ? document.querySelector(`#resultatCheckEx${this.numeroExercice}Q${i}`)\n : document.querySelector(`#resultatCheckEx${this.numeroExercice}Q${(i + 1) * taille - 1}`)\n const saisies = []\n if (this.type.substring(0, 3) === 'can') {\n champsTexte[0] = document.getElementById(`champTexteEx${this.numeroExercice}Q${i}`)\n saisies[0] = champsTexte[0].value.replace(',', '.').replace(/\\((\\+?-?\\d+)\\)/, '$1')\n } else {\n for (let k = 0; k < taille; k++) {\n champsTexte[k] = document.getElementById(`champTexteEx${this.numeroExercice}Q${i * taille + k}`)\n saisies[k] = champsTexte[k].value.replace(',', '.').replace(/\\((\\+?-?\\d+)\\)/, '$1')\n }\n }\n let resultat\n if (this.saisieCoherente(saisies, taille, i)) {\n divFeedback.innerHTML = '😎'\n resultat = 'OK'\n } else {\n divFeedback.innerHTML = '☹️'\n resultat = 'KO'\n }\n return resultat\n }\n this.saisieCoherente = function (saisies, taille, question) {\n let resultatOK = true\n let stringSaisie = saisies[0]\n let stringResultat\n if (this.type === 'can2') {\n stringResultat = this.roses[question].typeDonnees.substring(0, 4) === 'frac'\n ? this.roses[question].resultats[this.indexInconnue[question]].toLatex().replace('dfrac', 'frac')\n : this.roses[question].resultats[this.indexInconnue[question]].toString()\n return engine.parse(stringResultat).isSame(engine.parse(stringSaisie))\n } else if (this.type === 'can1') {\n stringSaisie = saisies[0]\n stringResultat = this.roses[question].typeDonnees.substring(0, 4) === 'frac'\n ? this.roses[question].values[this.indexInconnue[question]].toLatex().replace('dfrac', 'frac')\n : this.roses[question].values[this.indexInconnue[question]].toString()\n return engine.parse(stringSaisie).isSame(engine.parse(stringResultat))\n } else {\n for (let i = 0; i < taille; i++) {\n stringSaisie = saisies[i]\n if (this.type === 'résultats') {\n stringResultat = this.roses[question].typeDonnees.substring(0, 4) === 'frac'\n ? this.roses[question].resultats[i].toLatex().replace('dfrac', 'frac')\n : this.roses[question].resultats[i].toString()\n } else {\n stringResultat = this.roses[question].typeDonnees.substring(0, 4) === 'frac'\n ? this.roses[question].resultats[i].toLatex().replace('dfrac', 'frac')\n : String(this.roses[question].resultats[i])\n stringSaisie = this.roses[question].typeDonnees.substring(0, 4) === 'frac'\n ? `${saisies[i]}${this.roses[question].operation === 'addition' ? '+' : '\\\\times '}${saisies[(i + 1) % this.nombreDeValeurs]}`\n : String(this.roses[question].operate(saisies[i], saisies[(i + 1) % this.nombreDeValeurs]))\n }\n resultatOK = resultatOK && engine.parse(stringSaisie).isEqual(engine.parse(stringResultat))\n }\n return resultatOK\n }\n 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