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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "# Transformations isométriques\n",
    "\n",
    "Dans le monde du calcul vectoriel (ou matriciel) on parle d'automophisme orthogonal plutôt que de transformation isométrique comme on\n",
    "le verra à la fin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "np.set_printoptions(precision=3, linewidth=150, suppress=True)\n",
    "plt.style.use(['seaborn-v0_8-whitegrid','data/cours.mplstyle'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.     0.5    0.866  1.     0.866  0.5    0.    -0.5   -1.    -1.    -1.    -0.5    0.   ]\n",
      " [-1.    -0.866 -0.5    0.     0.5    0.866  1.     1.     1.     0.5    0.    -0.5   -1.   ]]\n"
     ]
    }
   ],
   "source": [
    "angle = np.array([θ for θ in np.linspace(-np.pi/2,np.pi/2,7)])\n",
    "shape1 = np.concatenate([np.array([np.cos(angle), np.sin(angle)]), \\\n",
    "                         np.array([[-0.5, -1, -1, -1], [1, 1, 0.5, 0]]), \\\n",
    "                         np.array([[-0.5, 0], [-0.5, -1]])], axis=1)\n",
    "print(shape1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 425,
       "width": 841
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(shape1[0], shape1[1], '-or')\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "## Matrice de rotation centrée en (0,0)\n",
    "\n",
    "R = \n",
    "$\n",
    "\\begin{bmatrix}\n",
    "cos(θ) & -sin(θ) \\\\\n",
    "sin(θ) & cos(θ)  \\\\\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "### Propriétés\n",
    "\n",
    "* Effectue une rotation de centre (0,0) et d'angle θ\n",
    "* Déterminant = 1\n",
    "* Matrice orthogonale $\\rightarrow$ pas de déformation ni d'agrandissement de la forme (automorphisme orthogonal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.707 -0.707]\n",
      " [ 0.707  0.707]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 425,
       "width": 841
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "θ = np.pi / 4\n",
    "\n",
    "R = np.array([[np.cos(θ), -np.sin(θ)], [np.sin(θ), np.cos(θ)]])\n",
    "print(R)\n",
    "\n",
    "shape2 = R @ shape1\n",
    "\n",
    "plt.plot(shape2[0], shape2[1], '-ob')\n",
    "plt.axis('equal');\n",
    "\n",
    "np.save(\"mouse.npy\", shape2) # pour le prochain cours"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "Matrice orthogonale donc (par définition) $R.R^T = \\textrm{Id}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0.],\n",
       "       [0., 1.]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R @ R.T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "Donc la transposée est la rotation d'angle -θ ce qui est logique puisque sinus est une fonction impaire."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "## Symétrie axiale\n",
    "\n",
    "La symétrie horizontale, qui transforme (a,b) en (a,-b), est \n",
    "\n",
    "Sx = \n",
    "$\n",
    "\\begin{bmatrix}\n",
    "1 & 0 \\\\\n",
    "0 & -1  \\\\\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "On voit donc que pour avoir une symétrie axiale par rapport à une droite qui passe par (0,0) il suffit de \n",
    "\n",
    "* faire une rotation pour mettre l'axe de symétrie à l'horizontale\n",
    "* appliquer la symétrie horizontale\n",
    "* faire la rotation inverse\n",
    "\n",
    "Ainsi la symétrie axiale par rapport à la droite qui passe en (0,0) et qui a un angle d'alpha est :\n",
    "\n",
    "$S = R_{-α}^{-1}\\; Sx\\; R_{-α} = R_α\\;Sx\\; R_{-α}$\n",
    "\n",
    "Notez que l'ordre des matrices est l'inversé puisqu'on applique les points **x** à droite de $S$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.766  0.643]\n",
      " [ 0.643  0.766]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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mTJmixx57zCHAOXLkiCZOnKiCggIFBQVp5cqV6tKlS5OfxbiLxsjMzNTYsWNlNpsVHR2t9957T926dXM4b/bs2XrnnXckSePHj9fs2bOb/KznnntOr776qiTpyiuv1LPPPuuw9Fh+fr4mTZqkQ4cOSZLmzZuniy++uMnPQsvnyb77q1/9yvaB0O7du/n2MFzivffe06xZs1RRUaGgoCDdfffdOnz4sJYsWSLJdUuFMfbC1TzVdxl74Ur/+te/9NJLL0mq/rzg/fffV2xsrMN5r7zyip5//nlJ1eHkZ5991uTJAIy78BbXbKwDt/rf//5nC5IGDx7sNEiSpHbt2um+++6z/bxq1apmPW/OnDkqLi6WJE2dOtXpB5qSdPPNN2vgwIGSpC1btmjbtm3Neh5atp07d9o+jJ8yZYref/99paSkuOVZ9t+Qb9OmjVuegdbDk32XcReucujQIS1fvlyS1LVrVz388MNOZwJ16dJFM2bMkCRVVVXplVdeadbzGHfRGK+++qrtm8QPP/yw0w/jpeogtGvXrpKkxYsX2/ZFaKwzZ87YQvaoqCjNmjXL6R42sbGxeuKJJ2w/v/DCC016DloPT/Vd6advx4eHh/NhJlxm3rx5qqioUKdOnTRv3jzdd999Lu9fjL1wB0/0XYmxF65jNpu1YMEC28/PPPOM0yBJqn7P36lTJ0lSbm5uk9/XM+7CmwiT/MCRI0cUHh4uqTptrk/Nh4xS9TfpmmPlypWSqpehaWjtTvvjNdcBZ4uNjdVrr72mP/7xj81eerExioqKbK+joqLc9hy0Hp7qu4y7cJXVq1fblsSdMGFCvZvBX3311baxcs2aNaqqqmry8xh30ZDKykqtXbtWUnXgOHbs2DrPNRqNuu666yRVvyF3ttZ8fTZs2GDbc27s2LH19slBgwbZgoFt27YpLy+vSc9Cy+fJviv99IEmwTxcbezYsVq8eLEuuugit9yfsRfu4u6+KzH2wnWOHz+uoKAgBQYGKi4urs4viErVSzbaHz9w4ECTnsW4C28iTPIDM2fO1M6dO/X1119rwoQJ9Z4bFPTTNljl5eVNftbRo0d18OBBSVL37t2VkJBQ7/mDBw+2vV6/fn2Tn4eWLzU1VUuWLNGIESPc/iz7b8jzoSbOlaf6LuMuXGnDhg221/Z9xZmQkBDbm/PTp09r586dTX4e4y4asmPHDtvMy379+jUYzJ/LGNeU/m9/jsVi0eeff96kZ6Hl82TftVqttmcxlsKVHnvsMf3jH/9wa79i7IU7eKLvMvbClbp06aKNGzfqu+++08cff9zgPrHn8vkt4y68iTDJj4SFhTX4Jubw4cO21x07dmzyM/bt22d73atXrwbPj4uLU2JioiTp2LFjKikpafIz0bKlpKQ0+OG4q9h/Q55vFuFcearvMu7ClWr6U0BAgHr27Nng+b1797a9zsjIaPLzGHfRkKaOcT179rS9+W5qn7R/ln3frkufPn1sr/fu3dukZ6Hl82TfPXPmjG1WKR9owpXS0tLc/gzGXriDJ/ouYy/cISAgoFH9yf7z25ol7xqLcRfeFNTwKfAnH330ke11c75NX/PteKnxYVSHDh106tQpSdV7NdgPUoAn2X9DPiwsTP/73/+0atUq/fDDD8rLy5PRaFS7du3Uv39/XXfdderXr58XqwWqMe7CVfLz81VYWCipeiPX+pa4q9GhQwfba/u+2FiMu2hIU8e44OBgxcfHKycnRwUFBSooKFBMTEyTnmUwGNS+ffsGz7c/pzn9Hy2bJ/tuzTJLUnUwf+DAAf33v//Vli1bdOTIEZWXl6tNmzbq3r27Ro4cqYkTJyoyMrLpvxTgBoy98FeMvfCWw4cP2/ZnNhqNuuSSS5p0PeMuvIkwqQXZsmWLlixZIkkKDQ3VzTff3OR75Ofn217XtVHc2ezPY+1NeJP9N+Tvu+8+5ebm1jpuMpl06NAhHTp0SB988IHS09P15JNPKjQ01NOlAjaMu3CVgoIC2+u4uLhGXWN/XnP6EuMuGtLcMS4nJ8d2fWM+kC8vL7etHR8VFdWofe7s+799nYDkub4r1f5A8+uvv1Z6errMZrNDPVu3btXWrVv1xhtv6Nlnn/XIN/eB+jD2wp8x9sIbrFarHn/8cVmtVknV+9xGR0c3+nrGXXgbYZKbZGdna//+/c2+Pjw8XBdeeGGjzz948KAeeOAB22A0bdq0Zi1zVzMgSdV7KTSG/Xn218M/ebrvupL9N+Rzc3OVnJys66+/Xn379lVYWJiysrK0Zs0aLVmyRGazWUuXLtXp06f16quvKiCAVT/9nb/2XcZduKrv2i952Ni+ZP/mozl9iXEXDfHUGMdYClfzZJ+y/0CzsLBQQUFBGj9+vEaNGqUOHTqooqJCu3bt0oIFC3T48GHl5+frjjvu0Ntvv62LL7640c8BXI2xF/6MsRfe8NRTT2nz5s2Sqpe3e+CBB5p0PeMuvI0wyU02btyoRx55pNnXp6amatmyZY06NyMjQ7/5zW9s30i+5pprdOuttzbruRUVFbbXjVkeR6r9QZT99fBPnuy7rhYYGKj4+HhJ0rXXXqsHHnhAgYGBtuN9+vTR5ZdfrmuuuUZ33XWXysvLtX79er333nu68cYbvVIzXMdf+y7jLlzVdysrK21tnupLjLtoiKfGOMZSuJon+1RFRYVtLI2Pj9czzzyjHj161Dqnf//+mjRpkh588EGtXbtWJpNJ06dP1+rVqxv1rWTAHRh74c8Ye+FJVqtVTz31lN59911JUkREhF566aUmzUqSGHfhfYRJfm7Dhg363e9+Z/tmcHp6umbNmtXs+9mn1fYfStXH/jyWrYE3zZkzp1HnpaWl6cEHH9Ts2bMlSf/+97/5UBNew7gLV7F/k+CpvsS4i4Z4aoxjLIWrebJPDR8+XJs2bWpUTX//+981evRoZWdnKysrSytWrNAvf/nLRj8LcCXGXvgzxl54SmlpqWbMmKFPPvlEktS2bVu99tpr6tWrV5PvxbgLbyNMcpOrrrpKQ4YMafb1QUEN/0/z7rvvavbs2bY1XX/zm99oxowZMhgMzX5ueHi47XVj0+ry8nLb64iIiGY/G77BE33XF1x//fX6xz/+ocrKSh07dkyHDx9W165dvV0WzoG/9l3GXbiq79r3Bfs+Uh9P9iXG3dbJU2Oc/XMa2//Lysqa/By0Hr763+fw8HBdd911evnllyVVz27lA014C2MvWgvGXjTXqVOndNddd2n37t2SpI4dO+r1119Xampqs+7HuAtv849Pff1QWFiYwsLC3HJvs9msWbNmad68eZKqpzXOnDlT119//Tnfu2aKrySHTbTrkp2d7fR6+Cd39l1fEhYWppSUFP3www+SpOPHj/Ohpp/z177LuAtX9V37jVXz8vIadU3NRvFnX+8OjLutk6fGuNDQUEVGRqq4uFjFxcUqLy9v8JuXnuz/8D++/N/nPn362F4fP37cbc8BGsLYi9aEsRdNtXv3bt111106deqUJOmCCy7QSy+9pISEhGbfk3EX3sbOx36msrJS999/vy1Iio6O1ltvveWSIEmSkpOTba9PnDjRqGtqzgsICFC3bt1cUgfgCfb/wWXdWHgL4y5cJTo62vbmIC8vr1Hjmv0b4e7du7utthqMu61PU8e40tJSFRYWSpLatWunqKgotz3L/hxP9H/4F0/23aay/wICYym8jbEXrQVjL5riyy+/1OTJk21B0rhx4zRv3rxzCpJqMO7CmwiT/IjZbNa0adO0Zs0aSVJSUpIWLVqkgQMHuuwZPXv2tL3+/vvvGzz/6NGjKigokCSlpKTUWrsT8HX239yPiYnxYiVozRh34Uo1625brdZG9addu3Y5XOtOjLutj32/akyf/Pbbb22ve/fu7bFneaL/w794su82lf1MKcZSeBtjL1oLxl401ldffaU777xTpaWlkqTf/va3+tvf/lZrj9tzwbgLbyJM8iNPPvmk1q5dK6n6w8eFCxe6fHmYxMRE25ufQ4cO6dixY/We//nnn9teX3bZZS6tBWiKH374QS+++KIeffRRzZ07t8Hzc3JydPToUUnV+43w7Qx4C+MuXGn48OG21w1tKFxUVKRvvvlGUnU/7Nu3b5OexbiLxrjgggsUGxsrSdq5c6dKSkrqPf9cxrim9H+z2awvvvhCkhQcHKyhQ4c26Vlo+TzZd+fPn6/Zs2frt7/9rfLz8xs8f8eOHbbXfCgEb2Pshb9i7IU7ZGZm6p577lF5ebkMBoOeeOIJ3XfffS59BuMuvIkwyU+sWLFCCxYskCR169ZN77zzju3NjauNHTvW9nr+/Pl1nmc2m7Vw4UJJksFgqHUd4GmFhYV64YUX9MEHH+ill16qtcGgM3PnzpXVapUkDR48WJGRkZ4oE3CKcReuMnr0aBmNRknS+++/X+8SHP/5z39UWVkpSUpPT5fBYGjSsxh30RgBAQG66qqrJFUvA/bRRx/VeW5xcbHteHh4uC6//PImPWvo0KG2bwqvWrWq3r3DPv74Y9v+Npdddhn9EQ482XeXL1+ud955R6tXr9b7779f77n5+flatmyZ7edRo0Y16VmAqzH2wl8x9sLVKisr9eCDD6qoqEiSXLa//dkYd+FNhEl+oKioSH/+858lVe818NJLL53TlNoePXrY/nH2Dfgbb7zRtobn3LlztXnzZqf3efbZZ5WRkSGp+kOo1NTUZtcENEZ9fXfQoEG2PlhYWKjf//73qqqqcnqfNWvW6K233pJU/YH83Xff7d7C0eox7sJTEhMTdcMNN0iSTp48qSeeeEIWi8XhvF27dunll1+WJEVFRemOO+5wej/GXbjCnXfeadsv67nnntPevXsdzjGbzXr88cdtb4Z//etfO3xx6oUXXrD1xz/84Q8O9wgJCdFdd90lSSorK9Mf/vAHW2Bq7+jRo3rqqackVc+Su//++8/tF0SL5am+e9NNN9lev/jii9q2bZvTekpKSjRt2jQVFxdLkoYMGaJ+/fo175cDGomxF/6KsRee9vrrr2vPnj2SpF/96leaPHlys+7DuAtfFuTtAtCwt956y7aZ6xVXXCGz2Wz7MLEh7du3V5s2bZr0vLCwMM2ePVt33XWXqqqqdMcdd+j666/XqFGj1LZtWx0/flyLFi3Sxo0bJUldunTRI4880qRnoPVw1ldrvhUhSSaTyek5Te27AQEBmjVrliZPnqzKykqtXbtWY8aM0U033aTU1FRFRUUpKytLq1at0ooVK2wfrt53330aMGBAM34ztHSe6rsS4y5ca9q0adqyZYsyMjL0/vvv6+DBg5o0aZKSkpJUXFysjRs3av78+SorK1NAQICeeuopRUdHN/k5jLtorMTERM2cOVOPPfaYiouLdcMNN2jKlCkaMmSIwsPDdfDgQS1YsEBff/21JOnCCy+0vUFuqsmTJ+uzzz7Tl19+qQ0bNujaa6/VzTffrPPPP1+VlZXatm2b5syZY/vbevr06bU2MQbsearvjhkzRitXrtTq1atVUVGhW265Renp6Ro5cqQ6duyoiooKffPNN5o/f76OHz9uq+3pp5925a+LFiYvL8/pt9VPnz5te33q1CmHv2eNRqO6devWpGcx9sKVPNV3GXvhSoWFhbYvzxmNRv3qV79q9Ge3jLvwJwZrzXoj8FmXX365bY+Bppo9e7bGjx9fq61Hjx6212vXrtV5553n9NqPP/5YM2fOtE3PdKZv3756/vnn1blz52bVh5bPvr81RXP77ldffaWHHnpIWVlZ9d4/NDRUM2bMaPY3RdDyebrvSoy7cJ2TJ09q2rRp2rlzZ53nREZG6vHHH9e4cePqPIdxF640f/58PfPMMyovL6/znKFDh+pvf/ub0+WcX3jhBb344ouSqr/tWdeHOWfOnNH06dP12Wef1fkco9GoBx98ULfddlsTfwu0Rp7ou5WVlXryySe1aNEiNfQWvV+/fnruuefUvn37Jv4maE3s+11TdOrUSZ9++qnT+zD2whM82XcZe+Eq//vf//Twww8361rGXfgTZib5AWfL03jC6NGj1a9fPy1atEiffvqpjh8/ruLiYsXFxalHjx4aM2aM0tPTFRgY6JX6AGcGDBigVatWaenSpVq7dq327t2rvLw8WSwWRUdHKzk5WUOGDNHEiRPdtu8Y0FyMu3CV9u3ba8GCBVqxYoWWLVumPXv2KC8vT+Hh4erUqZNGjhypCRMmuOTNMOMuGmvy5MkaNmyYFi1apA0bNujkyZMqLy9XfHy8+vbtq3HjxjV5rxlnoqKi9Oqrr2rdunVavHixvvnmG+Xm5iokJETt27fX0KFDNWHCBL6diUbzRN8NDg7WE088oRtvvFEfffSRtm3bpqNHj6qkpERhYWFKSEjQRRddpDFjxmjYsGEu+s0A12HshT9i7IWreOOzW8ZdeAMzkwAAAAAAAAAAAFCnAG8XAAAAAAAAAAAAAN9FmAQAAAAAAAAAAIA6ESYBAAAAAAAAAACgToRJAAAAAAAAAAAAqBNhEgAAAAAAAAAAAOpEmAQAAAAAAAAAAIA6ESYBAAAAAAAAAACgToRJAAAAAAAAAAAAqBNhEgAAAAAAAAAAAOpEmAQAAAAAAAAAAIA6ESYBAAAAAAAAAACgToRJAAAAAAAAAAAAqBNhEgAAAAAAAAAAAOpEmAQAAAAAAAAAAIA6ESYBAAAAAAAAAACgToRJAAAAAAAAAAAAqBNhEgAAAAAAAAAAAOpEmAQAAAAAAAAAAIA6ESYBAAAAAAAAAACgToRJAAAAAAAAAAAAqBNhEgAAAAAAAAAAAOpEmAQAAAAAAAAAAIA6ESYBAAAAAAAAAACgToRJAAAAAAAAAAAAqBNhEgAAAAAAAAAAAOr0/2HphDqBpCZtAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 425,
       "width": 841
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def Rα(α):\n",
    "    return np.array([[np.cos(α), -np.sin(α)], [np.sin(α), np.cos(α)]])\n",
    "\n",
    "Sx = np.array([[1, 0],[0,-1]])\n",
    "\n",
    "θ = 70 * (2 * np.pi)/360  # 70 degrés\n",
    "\n",
    "shape2 = Rα(θ) @ Sx @ Rα(-θ) @ shape1\n",
    "\n",
    "print(Rα(θ) @ Sx @ Rα(-θ))\n",
    "\n",
    "plt.plot(shape1[0], shape1[1], \":\")\n",
    "plt.plot(shape2[0], shape2[1])\n",
    "plt.plot([-np.cos(θ),np.cos(θ)],[-np.sin(θ),np.sin(θ)],\"-.\")  # axe de symétrie\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.,  1.],\n",
       "       [ 1., -0.]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "θ = np.pi / 4\n",
    "Rα(θ) @ Sx @ Rα(-θ)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "Je ne sais pas s'il y a une formule directe plus simple pour avoir la symétrie axiale par rapport à une droite quelconque qui passe par (0,0)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "## Translation\n",
    "\n",
    "On ne peut pas exprimer la translation avec un produit matriciel car ce n'est pas une application linéaire :\n",
    "\n",
    "$T(2\\;\\textbf{x}) \\ne 2\\; T(\\textbf{x})$\n",
    "\n",
    "Ce n'est pas non plus une transformation isométrique car la distance d'un point à (0,0) change après une translation.\n",
    "\n",
    "D'un point de vue vectoriel une translation est une addition :\n",
    "\n",
    "$T(\\textbf{x}) = \\textbf{x} + \\textbf{v}_t$ \n",
    "\n",
    "Il existe un truc pour exprimer les translations sous forme de produit matriciel : on change la représentation des points :\n",
    "\n",
    "$\\textbf{x} = (x_1, x_2)$ devient $\\textbf{x} = (x_1, x_2, 1)$\n",
    "\n",
    "Ainsi la translation par le vecteur $(v_1, v_2)$ est \n",
    "\n",
    "$T(X) = \n",
    "\\begin{bmatrix}\n",
    "1 & 0 & v_1\\\\\n",
    "0 & 1 & v_2 \\\\\n",
    "0 & 0 & 1 \\\\\n",
    "\\end{bmatrix}\n",
    "\\begin{bmatrix}\n",
    "x_1 \\\\\n",
    "x_2 \\\\\n",
    "1 \\\\\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "On peut vérifier que $T$ est bien une application linéraire puisque $T(2\\;\\textbf{x}) = 2\\; T(\\textbf{x})$ mais à l'arrivée\n",
    "le nouveau point ne respecte pas la convention $(x_1, x_2, 1)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Translate matrix:\n",
      " [[1. 0. 1.]\n",
      " [0. 1. 2.]\n",
      " [0. 0. 1.]]\n",
      "Shape1 3d:\n",
      " [[ 0.     0.5    0.866  1.     0.866  0.5    0.    -0.5   -1.    -1.    -1.    -0.5    0.   ]\n",
      " [-1.    -0.866 -0.5    0.     0.5    0.866  1.     1.     1.     0.5    0.    -0.5   -1.   ]\n",
      " [ 1.     1.     1.     1.     1.     1.     1.     1.     1.     1.     1.     1.     1.   ]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 425,
       "width": 832
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v = np.array([1,2])\n",
    "\n",
    "T = np.identity(3)\n",
    "T[0:2,2] = v\n",
    "print(\"Translate matrix:\\n\", T)\n",
    "\n",
    "shape1_3d = np.concatenate([shape1, np.ones((1, len(shape1[0])))], axis=0)\n",
    "print(\"Shape1 3d:\\n\", shape1_3d)\n",
    "\n",
    "shape2 = T @ shape1_3d\n",
    "\n",
    "plt.plot(shape1[0], shape1[1], \":\")\n",
    "plt.plot(shape2[0], shape2[1])\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "La matrice inverse de notre matrice de translation est celle qui remet la forme orange à sa place d'origine, donc qui applique la transaltion $-\\textbf{v} = (-1,-2)$.\n",
    "\n",
    "$T^{-1} = \n",
    "\\begin{bmatrix}\n",
    "1 & 0 & -1\\\\\n",
    "0 & 1 & -2 \\\\\n",
    "0 & 0 & 1 \\\\\n",
    "\\end{bmatrix}\n",
    "$\n",
    "\n",
    "ce qui n'est pas la transposée de T donc T n'est pas orthogonale.\n",
    "\n",
    "Le piège est qu'il y a 2 types d'isométries :\n",
    "\n",
    "* l'isométrie vectorielle ou automorphisme orthogonal qui veut que $\\forall\\, \\textbf{x}, \\;||\\textbf{f}(\\textbf{x})|| = ||\\textbf{x}||$ ainsi que la conservation des angles\n",
    "* l'isométrie géométrique qui veut que $\\forall\\, \\textbf{a}, \\textbf{b}, \\; ||\\textbf{f}(\\textbf{a}) - \\textbf{f}(\\textbf{b})|| = ||\\textbf{a} - \\textbf{b}||$.\n",
    "\n",
    "La translation est bien une isométrie géométrique mais pas vectorielles d'où le fait qu'on préfère parler\n",
    "d'automorphisme orthogonal plutôt que d'isométrie pour ne pas prêter à confusion."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lang": "fr"
   },
   "source": [
    "## Exercice 1.1\n",
    "\n",
    "Écrire sous forme d'un produit matriciel la symétrie axiale par rapport à un axe qui ne passe pas par (0,0).\n",
    "On prendra l'axe qui passe par (2,0) et qui a un angle de π/3 par rapport à l'horizontale.\n",
    "\n",
    "Est-ce un automorphisme orthogonal ? Le montrer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matrix of symmetry:\n",
      " [[-0.5    0.866  3.   ]\n",
      " [ 0.866  0.5   -1.732]\n",
      " [ 0.     0.     1.   ]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 425,
       "width": 832
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def R3(α):\n",
    "    return np.array([[np.cos(α), -np.sin(α), 0], [np.sin(α), np.cos(α), 0], [0, 0, 1]])\n",
    "\n",
    "Sx3 = np.array([[1,0,0], [0,-1,0], [0,0,1]])\n",
    "\n",
    "def T(v):  # translation of v\n",
    "    T = np.identity(3)\n",
    "    T[0:2,2] = v\n",
    "    return T\n",
    "\n",
    "θ = np.pi / 3\n",
    "a = np.array([2,0])\n",
    "\n",
    "S =  T(a) @ R3(θ) @ Sx3 @ R3(-θ) @ T(-a)\n",
    "print(\"Matrix of symmetry:\\n\", S)\n",
    "\n",
    "shape2 = S @ shape1_3d\n",
    "\n",
    "plt.plot(shape1[0], shape1[1], \":\")\n",
    "plt.plot(shape2[0], shape2[1])\n",
    "plt.plot([a[0]-3*np.cos(θ),a[0]+np.cos(θ)],[a[1]-3*np.sin(θ),a[1]+np.sin(θ)], \"-.\")  # axe de symétrie\n",
    "plt.axis('equal');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Automorphisme isométrique ?\n",
    "On vérifie si $S \\cdot S^T = I$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[10.    -5.196  3.   ]\n",
      " [-5.196  4.    -1.732]\n",
      " [ 3.    -1.732  1.   ]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0.],\n",
       "       [0., 1., 0.],\n",
       "       [0., 0., 1.]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(S @ S.T)\n",
    "np.identity(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Donc la transformation n'est pas un automorphisme isométrique**"
   ]
  }
 ],
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   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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