{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "AGRÉGATION 2005 - C1" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "def prestidigitation(m):\n", " a=(m[0]+m[2]+m[4]+m[6])%2\n", " b=(m[1]+m[2]+m[5]+m[6])%2\n", " c=(m[3]+m[4]+m[5]+m[6])%2\n", " k=c*2^2+b*2^1+a*2^0\n", " if k<>0:\n", " m[k-1]=(m[k-1]+1)%2\n", " n=m[3]*2^0+m[2]*2^1+m[1]*2^2+m[0]*2^3\n", " return(k,n)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(0, 7)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# n=7\n", "# on ne ment pas\n", "\n", "m=[0,1,1,1,1,0,0]\n", "prestidigitation(m)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(4, 7)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# n=7\n", "# on ment à la 4e question\n", "\n", "m=[0,1,1,0,1,0,0]\n", "prestidigitation(m)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "AGRÉGATION 2013 - C3" ] }, { "cell_type": "code", "execution_count": 154, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "def D2(p):\n", " l=len(p)\n", " A=[(p[i]+p[i+1])/2 for i in srange(0,l-1,2)]+[(p[i]-p[i+1])/2 for i in srange(0,l-1,2)]\n", " return(A)\n", "\n", "def D2_inv(A):\n", " l=len(A)\n", " p=[]\n", " for i in srange(l/2): \n", " p=p+[(A[i]+A[i+l/2]),(A[i]-A[i+l/2])]\n", " return(p)\n", "\n", "def cutoff(p,d):\n", " A=D2(p)\n", " for i in range(len(A)):\n", " if abs(A[i])<=d:\n", " A[i]=0\n", " pt=D2_inv(A)\n", " err=sqrt(sum((p[i]-pt[i])^2 for i in range(len(p))))/sqrt(sum(p[i]^2 for i in range(len(p))))\n", " return(err.n())" ] }, { "cell_type": "code", "execution_count": 157, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[245/2,\n", " 124,\n", " 257/2,\n", " 271/2,\n", " 141,\n", " 146,\n", " 154,\n", " 311/2,\n", " 1/2,\n", " 0,\n", " -1/2,\n", " -3/2,\n", " -1,\n", " -1,\n", " -1,\n", " 1/2]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "[123,\n", " 122,\n", " 124,\n", " 124,\n", " 128,\n", " 129,\n", " 134,\n", " 137,\n", " 140,\n", " 142,\n", " 145,\n", " 147,\n", " 153,\n", " 155,\n", " 156,\n", " 155]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "0.00220430500864890" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "0.00623471607767643" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Test sur l'exemple donné\n", "p=[123,122,124,124,128,129,134,137,140,142,145,147,153,155,156,155]\n", "\n", "# Vérification des fonctions\n", "show(D2(p))\n", "show(D2_inv(D2(p)))\n", "\n", "# Annulation des termes de valeur absolue < 1\n", "show(cutoff(p,0.999))\n", "\n", "# Annulation des termes de valeur absolue <= 1.5\n", "show(cutoff(p,1.5))" ] }, { "cell_type": "code", "execution_count": 200, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwwAAAJICAYAAADMwWO1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqUIWBkmSJEkVsjBIkiRJqtD/AxEEw94G1Hr7AAAAAElFTkSuQmCC\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "0.00355080272950051" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "0.0421105652096959" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Échantillon régulier\n", "p=[sin(i) for i in srange(0,2*pi.n(),2*pi.n()/100)]\n", "show(line([i,p[i]] for i in range(len(p))))\n", "\n", "show(cutoff(p,0.1))\n", "show(cutoff(p,0.5))" ] }, { "cell_type": "code", "execution_count": 208, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwwAAAJICAYAAADMwWO1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQJbCAAAAZCkMAABA1k9cQcXfBp8gBwAAAABJRU5ErkJggg==\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "0.0364882777854412" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "0.358701546511943" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Échantillon régulier\n", "p=[sin(42*i) for i in srange(0,2*pi.n(),2*pi.n()/100)]\n", "show(line([i,p[i]] for i in range(len(p))))\n", "\n", "show(cutoff(p,0.1))\n", "show(cutoff(p,0.5))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 8.0", "language": "", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }