{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 1A.e - Enonc\u00e9 22 octobre 2019 (2)\n", "\n", "Correction du second \u00e9nonc\u00e9 de l'examen du 22 octobre 2019. L'\u00e9nonc\u00e9 propose une fa\u00e7on de disposer des tables carr\u00e9es dans une salle carr\u00e9e."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On sait d'apr\u00e8s les derni\u00e8res questions qu'il faudra tout r\u00e9p\u00e9ter plusieurs fois. On prend le soin d'\u00e9crire chaque question dans une fonction. C'est un mariage dans une salle carr\u00e9e. On veut disposer les tables de sortes qu'elles soient \u00e9loign\u00e9es le plus possible les unes des autres et du bord de la salle. Les tables sont toutes carr\u00e9es et toutes la m\u00eame taille."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q1 - distance_table\n", "\n", "Ecrire une fonction qui calcule la distance entre deux tables carr\u00e9es dont on conna\u00eet le centre. Et comme ce sont des tables carr\u00e9es, on consid\u00e8re que la distance entre deux tables est la plus grande des valeurs absolues des diff\u00e9rences de coordonn\u00e9es."]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"text/plain": ["2"]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_table(x1, y1, x2, y2):\n", " return max(abs(x1 - x2), abs(y1 - y2))\n", "\n", "distance_table(0, 0, 2, 1)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q2 - distance_bord\n", "\n", "Ecrire une fonction qui calcule la distance entre une table (son centre) et le bord de la salle de c\u00f4t\u00e9 *2C*."]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"text/plain": ["4"]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_bord(x1, y1, C):\n", " dist = distance_table(x1, y1, 0, 0)\n", " return C - dist\n", "\n", "distance_bord(1, 1, 5)"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": ["-5"]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}], "source": ["distance_bord(10, 1, 5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q3 - table_alea\n", "\n", "Ecrire une fonction qui tire al\u00e9atoirement une table dans le carr\u00e9 de c\u00f4t\u00e9 *2C*"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/plain": ["(-4.908190224838399, 2.7798369055014547)"]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}], "source": ["import random\n", "\n", "def table_alea(C):\n", " C2 = C ** 2\n", " dist = C2 * 2\n", " x = random.uniform(-C, C)\n", " y = random.uniform(-C, C)\n", " return x, y\n", "\n", "table_alea(5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q4 - n_table_alea\n", "\n", "Ecrire une fonction qui tire al\u00e9atoirement *N* tables dans le carr\u00e9 de c\u00f4t\u00e9 *2C*."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/plain": ["[(-0.6047310701361788, -4.538160002945912),\n", " (2.7983390011407794, 2.6871544213644984),\n", " (1.4887075948495667, -4.511831256978005)]"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["def n_table_alea(N, C):\n", " return [table_alea(C) for n in range(N)]\n", "\n", "n_table_alea(3, 5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q5 - table_proches\n", "\n", "Ecrire une fonction qui retourne la table la plus proche d'une table ou du bord. La fonction doit retourner l'indice de la table la plus proche ou -1 si c'est le bord, puis la distance associ\u00e9e. On ajoute un param\u00e8tre *skip_i* pour \u00e9viter une table."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0, 3.1962115931817596)"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["def table_proches(x1, y1, list_tables, C, skip_i):\n", " proche = -1\n", " best = distance_bord(x1, y1, C)\n", " for i, table in enumerate(list_tables):\n", " if i == skip_i:\n", " continue\n", " dist = distance_table(x1, y1, table[0], table[1])\n", " if dist < best:\n", " best = dist\n", " proche = i\n", " return proche, best\n", "\n", "C = 5\n", "list_tables = n_table_alea(3, C)\n", "table_proches(1, 1, list_tables, C, None)"]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["(-1, 0.5)"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["table_proches(C * 0.9, 0, list_tables, C, None)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q6 - distance_n_tables_alea\n", "\n", "Ecrire une fonction qui tire *N* tables al\u00e9atoirement et qui retourne la distance minimum entre deux tables ou le mur et les tables."]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.6710676955082597,\n", " [(-0.8642968594855169, 4.32893230449174),\n", " (1.500463237472049, -0.1547646758902923),\n", " (3.7606012466424747, 4.019429938832147)])"]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_n_tables_alea(N, C):\n", " distrib = n_table_alea(N, C)\n", " best = C ** 2\n", " for i, table in enumerate(distrib):\n", " proche, dist = table_proches(table[0], table[1], distrib, C, skip_i=i)\n", " if dist < best:\n", " best = dist\n", " return best, distrib\n", "\n", "distance_n_tables_alea(3, C)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q7 - meilleur_table_alea\n", "\n", "Ecrire une fonction qui tire *N* tables al\u00e9atoirement et qui retourne la distance minimum entre deux tables ou le mur et les tables."]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [{"data": {"text/plain": ["([(-3.6514056477386534, 1.596586600954664),\n", " (0.05123812953078399, 0.05320587377518926),\n", " (0.37467460315675805, -2.4937702081221422)],\n", " 1.3485943522613466)"]}, "execution_count": 11, "metadata": {}, "output_type": "execute_result"}], "source": ["def meilleur_table_alea(k, N, C):\n", " dist = 0\n", " best = None\n", " for i in range(k):\n", " d, distrib = distance_n_tables_alea(N, C)\n", " if d > dist:\n", " best = distrib\n", " dist = d\n", " return best, dist\n", "\n", "meilleur_table_alea(10, 3, C)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q8 - r\u00e9sultat num\u00e9rique\n", "\n", "Ecrire une fonction qui retourne le r\u00e9sultat pour 11 tables et une salle de demi-c\u00f4t\u00e9 1."]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [{"data": {"text/plain": ["([(-0.6259118658008394, -0.1764558984440392),\n", " (0.6004143527243244, -0.4008125902558497),\n", " (-0.052940751769248395, 0.547095264138868),\n", " (0.7525281574947777, 0.6243952889602158),\n", " (-0.2784959002399452, -0.16893417347025785),\n", " (0.15965080092875694, 0.5866949933059173),\n", " (-0.6062900542195173, -0.43564615941411566),\n", " (0.26135901810381923, -0.2792244176019283),\n", " (0.7961649730497629, -0.28673576049151195),\n", " (0.08784118387851514, 0.2840288333247212),\n", " (0.7893555701617381, -0.6299236074366998)],\n", " 0.19575062032543844)"]}, "execution_count": 12, "metadata": {}, "output_type": "execute_result"}], "source": ["best, dist = meilleur_table_alea(10, 11, 1)\n", "best, dist"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q9 - plot_tables\n", "\n", "Ecrire une fonction qui repr\u00e9sente la solution avec matplotlib en partant de l'exemple donn\u00e9e."]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "from matplotlib.patches import Rectangle\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "C = 1\n", "ax.set_xlim([-C, C])\n", "ax.set_ylim([-C, C])\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best], [b[1] for b in best], 'o');"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q10 ...\n", "\n", "Il est difficile de tomber sur une bonne r\u00e9partition de tables en partant du hasard et plus il y aura de tables, plus il faudra de tirages. Il est plus simple de partir d'un tirage puis d'\u00e9loigner les deux tables les plus proches. L'\u00e9loigner de combien, c'est une autre question. C'est la premi\u00e8re option. La seconde est de positionner les tables selon un quadrillage rectangulaire en formant une spirale et de chercher le meilleur \u00e9cartement.\n", "\n", "Pour la premi\u00e8re option, on peut soit \u00e9carter une paire de table, soit \u00e9carter une table de ses voisins les plus proches, voisins trouv\u00e9s gr\u00e2ce \u00e0 un diagramme de Vorono\u00ef. La premi\u00e8re variante ne marche pas tr\u00e8s bien."]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["0 paire (9, -1) distance 0.07797442236028274\n", "50 paire (0, 9) distance 0.17084871553555847\n", "100 paire (0, 1) distance 0.16055223380264586\n", "150 paire (0, 1) distance 0.22481137276979984\n"]}], "source": ["import numpy\n", "\n", "def improve_distrib(iter, tables, C, alpha=0.2):\n", " \n", " for it in range(iter):\n", " \n", " # On cherche la pair la plus proche.\n", " best = C ** 2\n", " pair = None\n", " for i, table in enumerate(tables):\n", " proche, dist = table_proches(table[0], table[1], tables, C, skip_i=i)\n", " if dist < best:\n", " best = dist\n", " pair = i, proche\n", " \n", " if it % 50 == 0:\n", " print(it, \"paire\", pair, \"distance\", best)\n", "\n", " # On choisit une table.\n", " if pair[0] == -1:\n", " i = 1\n", " elif pair[1] == -1:\n", " i = 0\n", " else:\n", " i = numpy.random.randint(0, 1)\n", " \n", " pi = pair[i]\n", " if pair[1-i] == -1:\n", " pjp = (0, 0)\n", " sign = 1\n", " else:\n", " pjp = tables[pair[1-i]]\n", " sign = -1\n", " \n", " # On calcule le vecteur entre les deux tables.\n", " dx, dy = (pjp[0] - tables[pi][0],\n", " pjp[1] - tables[pi][1])\n", " \n", " # Un peu d'al\u00e9a.\n", " h = numpy.random.uniform(0, alpha)\n", " dx *= h * sign\n", " dy *= h * sign\n", " \n", " # On bouge la table.\n", " table = tables[pi]\n", " tables[pi] = (table[0] + dx, table[1] + dy)\n", " if distance_bord(tables[pi][0], tables[pi][1], C) < 0:\n", " # Table hors du cercle\n", " tables[pi] = (table[0] - dx, table[1] - dy)\n", "\n", "\n", "C = 1\n", "best_sol, dist = meilleur_table_alea(10, 11, C)\n", "improve_distrib(200, best_sol, C, alpha=0.5)"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "C = 1\n", "ax.set_xlim([-C, C])\n", "ax.set_ylim([-C, C])\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best_sol], [b[1] for b in best_sol], 'o');"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q10 - Vorono\u00ef"]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": ["from scipy.spatial import Voronoi, voronoi_plot_2d\n", "points = numpy.array(best_sol)\n", "vor = Voronoi(points)"]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "C = 1\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best_sol], [b[1] for b in best_sol], 'o')\n", "voronoi_plot_2d(vor, ax=ax)\n", "ax.set_xlim([-C, C])\n", "ax.set_ylim([-C, C]);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On ajoute le bord."]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": ["bords = []\n", "for i in range(-5, 6):\n", " bords.append((C, C * i / 5))\n", " bords.append((-C, C * i / 5))\n", " bords.append((C * i / 5, -C))\n", " bords.append((C * i / 5, C))\n", "points2 = numpy.vstack([points, bords])"]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "C = 1\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax.add_artist(c)\n", "ax.plot([b[0] for b in best_sol], [b[1] for b in best_sol], 'o')\n", "vor2 = Voronoi(points2)\n", "voronoi_plot_2d(vor2, ax=ax)\n", "ax.set_xlim([-C, C])\n", "ax.set_ylim([-C, C]);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Le diagramme de Vorono\u00ef permet de construire un voisinage de points pour qu'on peut rapprocher le plus possible d'en ensemble de triangle \u00e9quilat\u00e9raux ou rapprocher une table le plus possible de sa fronti\u00e8re la plus \u00e9loign\u00e9e. Apr\u00e8s quelques essais, je ne peux pas que ce fut l\u00e0 la meilleure inspiration."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Q10 - KMeans\n", "\n", "Une autre id\u00e9e consiste \u00e0 recouvrir la salle de points puis \u00e0 effectuer un [KMeans](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html) pour cr\u00e9er artificiellement des zones."]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["def points_in_rectangle(N, R):\n", " points = numpy.empty(((N+1)**2, 2)) \n", " pos = 0\n", " for i in range(0, N + 1):\n", " for j in range(0, N + 1):\n", " points[pos, 0] = 1.0 * i / N * R * 2 - R\n", " points[pos, 1] = 1.0 * j / N * R * 2 - R\n", " pos += 1\n", " return points\n", "\n", "R = 1\n", "points = points_in_rectangle(25, R)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax.add_artist(c)\n", "ax.plot(points[:, 0], points[:, 1], '.');"]}, {"cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [{"data": {"text/plain": ["KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n", " n_clusters=11, n_init=10, n_jobs=None, precompute_distances='auto',\n", " random_state=None, tol=0.0001, verbose=0)"]}, "execution_count": 22, "metadata": {}, "output_type": "execute_result"}], "source": ["from sklearn.cluster import KMeans\n", "km = KMeans(n_clusters=11)\n", "km.fit(points)"]}, {"cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": ["pred = km.predict(points)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Les centres des clusters sont les emplacements des tables cherch\u00e9es."]}, {"cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax[0].add_artist(c)\n", "ax[0].set_xlim([-R, R])\n", "ax[0].set_ylim([-R, R])\n", "ax[0].scatter(points[:, 0], points[:, 1], c=pred)\n", "\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax[1].add_artist(c)\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R])\n", "ax[1].plot(km.cluster_centers_[:, 0], km.cluster_centers_[:, 1], 'o')\n", "vor2 = Voronoi(km.cluster_centers_)\n", "voronoi_plot_2d(vor2, ax=ax[1])\n", "ax[1].set_title(\"Centres des clusters - KMeans\")\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R]);"]}, {"cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.19622641509433936, 0.2016527778991591)"]}, "execution_count": 25, "metadata": {}, "output_type": "execute_result"}], "source": ["def distance_n_tables(distrib, R):\n", " best = R ** 2\n", " for i, table in enumerate(distrib):\n", " proche, dist = table_proches(table[0], table[1], distrib, R, skip_i=i)\n", " if dist < best:\n", " best = dist\n", " return best\n", "\n", "distance_n_tables(km.cluster_centers_, 1), distance_n_tables(best_sol, 1)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On essaye avec un m\u00e9lange de lois normales."]}, {"cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": ["from sklearn.mixture import GaussianMixture\n", "gau = GaussianMixture(11)\n", "gau.fit(points)\n", "pred = gau.predict(points)"]}, {"cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax[0].add_artist(c)\n", "ax[0].set_xlim([-R, R])\n", "ax[0].set_ylim([-R, R])\n", "ax[0].scatter(points[:, 0], points[:, 1], c=pred)\n", "\n", "c = Rectangle((-1, -1), 2, 2, alpha=0.2, fill=True, facecolor='blue')\n", "ax[1].add_artist(c)\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R])\n", "ax[1].plot(gau.means_[:, 0], gau.means_[:, 1], 'o')\n", "vor2 = Voronoi(gau.means_)\n", "voronoi_plot_2d(vor2, ax=ax[1])\n", "ax[1].set_title(\"Centres des clusters - gaussian mixture\")\n", "ax[1].set_xlim([-R, R])\n", "ax[1].set_ylim([-R, R]);"]}, {"cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [{"data": {"text/plain": ["(0.19622641509433936, 0.14695957901204992)"]}, "execution_count": 28, "metadata": {}, "output_type": "execute_result"}], "source": ["distance_n_tables(km.cluster_centers_, 1), distance_n_tables(gau.means_, 1)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Les r\u00e9sultats sont trompeurs car les centres sont un peu trop pr\u00e8s du bord. Il faudra enlever des points sur le bord."]}, {"cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.2"}}, "nbformat": 4, "nbformat_minor": 2}