Rapport individus

2025-10-18 11:12:09 +02:00
parent 4e61fccf48
commit 27a2e99706
3 changed files with 233 additions and 114 deletions
--- a/src/individual.ts
+++ b/src/individual.ts
@@ -76,9 +76,11 @@ function randomSex(age:number) {
  return Math.random() < c ? "F" : "M";
 }

-function randomSport(age:number) {
+function randomSport(sexe: "M" | "F", age:number) {
  // Moyenne de sport qui diminue avec l’âge
-  const meanSport = Math.min(Math.max(0.65 - 0.006 * (age - 18), 0.05), 0.9);
+  let meanSport = Math.min(Math.max(0.65 - 0.0065 * (age - 18), 0.05), 0.9);
+
+  if (sexe === "F") meanSport -= 0.15;

  // Paramètres de la distribution bêta
  const a = Math.max(meanSport * 6, 0.5);
@@ -130,9 +132,18 @@ function randomWealth(education:number) {
  return wealth;
 }

-function randomLecture(education:number, age:number) {
+function randomLecture(sexe: "M" | "F", education:number, age:number) {
+  // Base : 15% + effet de l'éducation + effet de l'âge
  let meanRead = 0.15 + 0.18 * education + 0.002 * (age - 18);
-  meanRead = Math.min(Math.max(meanRead, 0.02), 0.98); // équivalent de np.clip
+
+  // Femmes plus lectrices : ajout d’un bonus
+  if (sexe === "F") meanRead += 0.16;
+
+  // Bonus sénior : lecture plus fréquente chez les séniors
+  if (age > 60) meanRead += 0.09;
+
+  // Clipping entre 0.02 et 0.98
+  meanRead = Math.min(Math.max(meanRead, 0.02), 0.98);

  // Paramètres de la distribution bêta
  const a = Math.max(meanRead * 7, 0.5);
@@ -144,6 +155,10 @@ function randomLecture(education:number, age:number) {
  return reading;
 }

+/**
+ * Musique pratique indépendante de l'âge
+ * @returns valeur normalisée (0-1)
+ */
 function randomMusique() {
  return jStat.beta.sample(2, 2);
 }
@@ -158,8 +173,8 @@ export function generate(n: number) {

    const etudes = randomEducation(age);
    const richesse = randomWealth(etudes);
-    const sport = randomSport(age);
-    const lecture = randomLecture(etudes, age);
+    const sport = randomSport(sexe, age);
+    const lecture = randomLecture(sexe, etudes, age);
    const musique =  randomMusique();

    individus.push({ id: i, prenom, sexe, age, etudes, richesse, sport, lecture, musique });
--- a/src/individus.ts
+++ b/src/individus.ts
@@ -2,12 +2,15 @@ import './style.css';
 import { generate } from "./individual";
 import Chart from "chart.js/auto";
 import ChartDataLabels from "chartjs-plugin-datalabels";
-import { jStat } from "jstat";
 import { MatrixController, MatrixElement } from 'chartjs-chart-matrix';
+import { jStat } from "jstat";
+
 const individus = generate(1000);
+const individualMale = individus.filter(i => i.sexe === "M");
+const individualFemale = individus.filter(i => i.sexe === "F");

 // Fonction utilitaire pour afficher les pourcentages
-const percentage = (value: number, total: number) => ((value / total) * 100).toFixed(1) + "%";
+const percentage = (value: number, total: number) => ((value / total) * 100).toFixed(0) + "%";

 function formatStats(ages: number[]) {
  return {
@@ -20,10 +23,16 @@ function formatStats(ages: number[]) {
  };
 }

+function histogramData(ages: number[]) {
+  return ageClasses.map((a, idx) =>
+    ages.filter(age => age >= a && age < (ageClasses[idx + 1] ?? 80)).length
+  );
+}
+
 const Ages:number[] = individus.map(i => i.age);
 // Séparer les âges par sexe
-const AgesH = individus.filter(i => i.sexe === "M").map(i => i.age);
-const AgesF = individus.filter(i => i.sexe === "F").map(i => i.age);
+const AgesH = individualMale.map(i => i.age);
+const AgesF = individualFemale.map(i => i.age);

 const stats = formatStats(Ages);
 for (const [key, value] of Object.entries(stats)) {
@@ -33,11 +42,6 @@ for (const [key, value] of Object.entries(stats)) {
 // Construire des classes d'âge
 const ageClasses = Array.from({ length: 20 }, (_, i) => i * 3 + 18);

-function histogramData(ages: number[]) {
-  return ageClasses.map((a, idx) =>
-    ages.filter(age => age >= a && age < (ageClasses[idx + 1] ?? 80)).length
-  );
-}

 Chart.register(ChartDataLabels,MatrixController, MatrixElement);

@@ -46,6 +50,59 @@ Chart.defaults.set('plugins.datalabels', {
  font: { weight: "bold" }
 });

+/**
+ * Doughnut Sexe
+ */
+const nbMales = individualMale.length;
+const nbFemales = individus.length - nbMales;
+
+new Chart(document.getElementById("genreChart") as HTMLCanvasElement, {
+  type: "doughnut",
+  data: {
+    labels: ["Hommes", "Femmes"],
+    datasets: [{
+      data: [nbMales, nbFemales],
+      backgroundColor: ["#4A90E2", "#FF69B4"],
+    }],
+  },
+  options: {
+    plugins: { legend: { position: "bottom" },
+    datalabels: {
+        formatter: (value, context) => {
+          const total = context.chart.data.datasets[0].data.reduce((a: number, b: number) => a + b, 0);
+          return percentage(value, total);
+        }
+      }
+    },
+  },
+});
+
+/**
+ * Doughnut Classes d'âges
+ */
+const classes = {
+  Jeune: individus.filter(i => i.age <= 30),
+  Adulte: individus.filter(i => i.age > 30 && i.age <= 60),
+  Senior: individus.filter(i => i.age > 60)
+};
+
+new Chart(document.getElementById("classeChart") as HTMLCanvasElement, {
+  type: "doughnut",
+  data: {
+    labels: ["Jeunes (≤30)", "Adultes (31–60)", "Seniors (>60)"],
+    datasets: [{
+      data: [classes.Jeune.length, classes.Adulte.length, classes.Senior.length],
+      backgroundColor: ["#81C784", "#FFD54F", "#E57373"],
+    }],
+  },
+  options: {
+    plugins: { legend: { position: "bottom" } },
+  },
+});
+
+/**
+ * Histogramme des ages
+ */
 new Chart(document.getElementById("ageChart") as HTMLCanvasElement, {
  type: "bar",
  data: {
@@ -64,7 +121,7 @@ new Chart(document.getElementById("ageChart") as HTMLCanvasElement, {
    ],
  },
  options: {
-    responsive: true,
+    responsive: false,
    plugins: {
      title: { display: true, text: "Distribution des âges par sexe" },
      datalabels: false
@@ -76,41 +133,21 @@ new Chart(document.getElementById("ageChart") as HTMLCanvasElement, {
  },
 });

-const hommes = individus.filter(i => i.sexe === "M").length;
-const femmes = individus.length - hommes;

-new Chart(document.getElementById("genreChart") as HTMLCanvasElement, {
+
+/**
+ * Éducation
+ */
+new Chart(document.getElementById("educationChart") as HTMLCanvasElement, {
  type: "doughnut",
  data: {
-    labels: ["Hommes", "Femmes"],
+    labels: ["Bac", "+2", "+3", "+5"],
    datasets: [{
-      data: [hommes, femmes],
-      backgroundColor: ["#4A90E2", "#FF69B4"],
-    }],
-  },
-  options: {
-    plugins: { legend: { position: "bottom" },
-    datalabels: {
-        formatter: (value, context) => {
-          const total = context.chart.data.datasets[0].data.reduce((a: number, b: number) => a + b, 0);
-          return percentage(value, total);
-        }
-      }
-    },
-  },
-});
-
-const jeunes = individus.filter(i => i.age <= 30).length;
-const adultes = individus.filter(i => i.age > 30 && i.age <= 60).length;
-const seniors = individus.filter(i => i.age > 60).length;
-
-new Chart(document.getElementById("classeChart") as HTMLCanvasElement, {
-  type: "doughnut",
-  data: {
-    labels: ["Jeunes (≤30)", "Adultes (31–60)", "Seniors (>60)"],
-    datasets: [{
-      data: [jeunes, adultes, seniors],
-      backgroundColor: ["#81C784", "#FFD54F", "#E57373"],
+      data: [ individus.filter(i => i.etudes == 0).length,
+        individus.filter(i => i.etudes == 1).length,
+        individus.filter(i => i.etudes == 2).length,
+        individus.filter(i => i.etudes == 3).length,],
+      backgroundColor: ["#55e0d9ff", "#81C784", "#FFD54F", "#E57373"],
    }],
  },
  options: {
@@ -118,6 +155,9 @@ new Chart(document.getElementById("classeChart") as HTMLCanvasElement, {
  },
 });

+/**
+ * Richesse
+ */
 new Chart(document.getElementById("wealthChart") as HTMLCanvasElement, {
  type: "doughnut",
  data: {
@@ -140,92 +180,156 @@ new Chart(document.getElementById("wealthChart") as HTMLCanvasElement, {
  },
 });

-new Chart(document.getElementById("educationChart") as HTMLCanvasElement, {
-  type: "doughnut",
-  data: {
-    labels: ["Bac", "+2", "+3", "+5"],
-    datasets: [{
-      data: [ individus.filter(i => i.etudes == 0).length,
-        individus.filter(i => i.etudes == 1).length,
-        individus.filter(i => i.etudes == 2).length,
-        individus.filter(i => i.etudes == 3).length,],
-      backgroundColor: ["#81C784", "#FFD54F", "#E57373"],
-    }],
-  },
-  options: {
-    plugins: { legend: { position: "bottom" } },
-  },
+/**
+ * HeatMap
+ */
+const activites = ["Lecture", "Musique", "Sport"];
+const ages = Array.from({ length: 74 - 18 + 1 }, (_, i) => i + 18);
+
+// Labels Y : chaque activité doublée pour H/F
+const yLabels = activites.flatMap(a => [`${a} H`, `${a} F`]);
+
+// Génération des données
+const dataHeatmap = ages.flatMap((age, x) => {
+  const window = individus.filter(i => i.age >= age - 1 && i.age <= age + 1); // moyenne glissante
+
+  // Pour chaque activité
+  return activites.flatMap((activite, y) => {
+    // map pour extraire les valeurs
+    // const valeurs = window.map(i => i[activite as keyof typeof i]);
+
+    const hommes = window.filter(i => i.sexe === 'M');
+    const femmes  = window.filter(i => i.sexe === 'F');
+
+    // reduce pour la moyenne
+    const moyenneH = hommes.length > 0
+     ? hommes.map(i => i[activite.toLowerCase() as keyof typeof i])
+             .reduce((sum, val) => sum + val, 0) / hommes.length
+     : 0;
+
+    const moyenneF = femmes.length > 0
+     ? femmes.map(i => i[activite.toLowerCase() as keyof typeof i])
+             .reduce((sum, val) => sum + val, 0) / femmes.length
+     : 0;
+
+    return [
+      { x, y: y * 2,     v: moyenneH },
+      { x, y: y * 2 + 1, v: moyenneF }
+    ];
+  });
 });

-new Chart(document.getElementById('heatmapChart') as HTMLCanvasElement, {
-  type: 'matrix',
+
+new Chart(document.getElementById("heatmapChart") as HTMLCanvasElement, {
+  type: "matrix",
  data: {
-    labels: individus.map((_, i) => `Individu ${i + 1}`),
-    datasets: [{
-      label: 'Activités',
-      data: individus.map((individu, i) => [
-        { x: 0, y: i, v: individu.sport },
-        { x: 1, y: i, v: individu.musique },
-        { x: 2, y: i, v: individu.lecture }
-      ]).flat(),
-      backgroundColor: ({ v }) => {
-        const r = Math.floor(255 - v * 100);
-        const g = Math.floor(255 - v * 50);
-        const b = Math.floor(255);
-        return `rgb(${r}, ${g}, ${b})`;
-      },
-      borderWidth: 1,
-      borderColor: 'rgba(255, 255, 255, 0.6)',
-      width: ({ chart }) => (chart.chartArea?.width ?? 0) / 3 - 1,
-      height: ({ chart }) => (chart.chartArea?.height ?? 0) / individus.length - 1
-    }]
+    datasets: [
+      {
+        label: 'Activités par age et par sexe',
+        data: dataHeatmap,
+        borderWidth: 0,
+        backgroundColor: ({ raw }: { raw: any }) => {
+          const mean = 0.5; // ou calculé dynamiquement
+          const contrastFactor = 2; // augmente les écarts
+          let v = (raw.v - mean) * contrastFactor + mean;
+          v = Math.min(Math.max(v, 0), 1); // clip sur [0,1]
+          const light = 90; // OKLCH clair
+          const dark = 40;  // OKLCH foncé
+          const c = Math.floor(light - (light - dark) * v);
+          return `oklch(${c}% 0.12 145)`; // vert
+        },
+        width: ({ chart }: { chart: any }) =>
+          (chart.chartArea?.width ?? 0) / ages.length,
+        height: ({ chart }: { chart: any }) =>
+          (chart.chartArea?.height ?? 0) / yLabels.length - 1
+      }
+    ]
  },
  options: {
    responsive: true,
-    scales: {
-      x: {
-        type: 'category',
-        labels: ['Sport', 'Musique', 'Lecture'],
-        offset: true
-      },
-      y: {
-        type: 'category',
-        labels: individus.map((_, i) => `Individu ${i + 1}`),
-        offset: true
-      }
-    },
    plugins: {
      legend: { display: false },
+      datalabels: false,
      tooltip: {
        callbacks: {
-          label: ({ raw }) => `Valeur : ${raw.v.toFixed(2)}`
+          title: (items) => {
+            const raw = (items[0] as any).raw;
+            return `${yLabels[raw.y]} - ${ages[raw.x]} ans`;
+          },
+          label: ({ raw }: { raw: any }) =>
+            ` ${(raw.v * 100).toFixed(0)}%`
        }
      }
+    },
+    scales: {
+      x: {
+        type: 'linear',
+        min: -0.5,
+        max: ages.length - 0.5,
+        ticks: {
+          autoSkip: false,
+          callback: (_, i) => i % 5 === 0 ? ages[i] ?? '' : '',
+          stepSize: 1
+        },
+        offset: false,
+        grid: { display: false }
+      },
+      y: {
+        type: 'linear',
+        min: -0.5,
+        max: yLabels.length - 0.5,
+        position: 'left',
+        ticks: {
+          callback: (_, i) => yLabels[i] ?? '',
+          crossAlign: 'near',
+          align: 'end',
+          stepSize: 1
+        },
+        offset: false,
+        grid: { display: false },
+        reverse: false
+      }
    }
  }
 });

+const datasets = Object.entries(classes).map(([label, group], idx) => {
+
+  const colors = [
+    "rgba(75,192,192,0.2)",
+    "rgba(255,99,132,0.2)",
+    "rgba(255,206,86,0.2)"
+  ];
+
+  const borderColors = [
+    "rgba(75,192,192,1)",
+    "rgba(255,99,132,1)",
+    "rgba(255,206,86,1)"
+  ];
+
+  return {
+    label,
+    data: [
+      jStat.mean(group.map(i => i.etudes)) / 3,     // normalisation si besoin
+      jStat.mean(group.map(i => i.richesse)) / 3,
+      jStat.mean(group.map(i => i.sport)),
+      jStat.mean(group.map(i => i.musique)),
+      jStat.mean(group.map(i => i.lecture))
+    ],
+    backgroundColor: colors[idx],
+    borderColor: borderColors[idx],
+    pointBackgroundColor: borderColors[idx]
+  };
+});

 new Chart(document.getElementById("radarChart") as HTMLCanvasElement, {
  type: "radar",
  data: {
-    labels: ["Etudes", "Richesse", "Sport", "Musique", "Lecture"],
-    datasets: [{
-      label: "Valeurs moyennes",
-      data: [
-        individus[10].etudes / 3,
-        individus[10].richesse / 3,
-        individus[10].sport,
-        individus[10].musique,
-        individus[10].lecture
-      ],
-      backgroundColor: "rgba(54,162,235,0.2)",
-      borderColor: "rgba(54,162,235,1)",
-      pointBackgroundColor: "rgba(54,162,235,1)"
-    }]
+    labels: ["Études", "Richesse", "Sport", "Musique", "Lecture"],
+    datasets: datasets,
  },
  options: {
-    scales: { r: { min: 0, max: 1, ticks: { stepSize: 0.1 } } },
+    scales: { r: { min: 0, max: 1, ticks: { stepSize: 0.25 } } },
    plugins: { legend: { position: "top" }, datalabels: false }
  }
 });