{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 1A.e - TD not\u00e9, 27 novembre 2012 (\u00e9l\u00e9ments de code pour le coloriage)\n", "\n", "Coloriage d'une image, dessin d'une spirale avec *matplotlib* : \u00e9l\u00e9ments de code donn\u00e9es avec l'\u00e9nonc\u00e9."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["Populating the interactive namespace from numpy and matplotlib\n"]}], "source": ["%matplotlib inline\n", "import matplotlib.pyplot as plt"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## construction de la spirale\n", "\n", "On utilise une repr\u00e9sentation param\u00e9trique de la spirale : [spirale](https://fr.wikipedia.org/wiki/Spirale)."]}, {"cell_type": "code", "execution_count": 3, "metadata": {"collapsed": true}, "outputs": [], "source": ["import math\n", " \n", "# cette fonction construit deux spirales imbriqu\u00e9es dans une matrice nb x nb\n", "# le r\u00e9sultat est retourn\u00e9 sous forme de liste de listes\n", "def construit_matrice (nb) :\n", " mat = [ [ 0 for x in range (0,nb) ] for y in range(0,nb) ]\n", " \n", " def pointij (nb,r,th,mat,c,phase) :\n", " i,j = r*th * math.cos(th+phase), r*th*math.sin(th+phase)\n", " i,j = int(i*100/nb), int(j*100/nb)\n", " i,j = (i+nb)//2, (j+nb)//2\n", " if 0 <= i < nb and 0 <= j < nb :\n", " mat[i][j] = c\n", " return i,j\n", " \n", " r = 3.5\n", " t = 0\n", " for tinc in range (nb*100000) :\n", " t += 1.0 * nb / 100000\n", " th = t * math.pi * 2\n", " i,j = pointij (nb,r,th,mat,1, 0)\n", " i,j = pointij (nb,r,th,mat,1, math.pi)\n", " if i >= nb and j >= nb : break\n", " \n", " return mat\n", "\n", "matrice = construit_matrice(100)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## dessin de la spirale"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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Mo3zwYBeGDZMvAIYrtTFhAq3hR5Nm/6jooKeftmD7dn41MTXVh6wsD9avNzDN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\n2bjtNheHCjgmRluDy8CBTnz3nTaZ1avn4xCF8aFGZpcuhf7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0uYvtiQSgpQRTrPItMC9D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d3OXY9UCTRv7kFCgh9t23qwbp1ZMM/299+DG2DFiig8+6zylzQmhj50x4yxo7xchy1bLKzpWEZ8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\nkRBGnAREREREQpj/B22ot3bPBGzfAAAAAElFTkSuQmCC\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "\n", "def dessin_matrice (matrice) :\n", " f, ax = plt.subplots()\n", " ax.set_ylim([0, len(matrice[0])])\n", " ax.set_xlim([0, len(matrice)])\n", " colors = { 1: \"blue\", 2:\"red\" }\n", " for i in range(0,len(matrice)) :\n", " for j in range (0, len(matrice[i])) :\n", " if matrice [i][j] in colors : \n", " ax.plot ([i-0.5,i-0.5,i+0.5,i+0.5,i-0.5,i+0.5,i-0.5,i+0.5], \n", " [j-0.5,j+0.5,j+0.5,j-0.5,j-0.5,j+0.5,j+0.5,j-0.5], \n", " colors [ matrice[i][j] ])\n", " return ax\n", " \n", "dessin_matrice(matrice)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## ajouter du rouge"]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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A9ZYkxQFqr1dXQ3v++SisXMlPXY6LI0OqDTNoUDzOnuWnBrds6USPHi6kplYF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RAAAg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\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["n = len(matrice)\n", "for i in range(0, n):\n", " matrice[i][min(n-1, abs(n - 2*i))] = 2\n", "dessin_matrice(matrice)"]}, {"cell_type": "code", "execution_count": 6, "metadata": {"collapsed": true}, "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": "3.6.1"}}, "nbformat": 4, "nbformat_minor": 2}