{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# La cycloide"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On s'intéresse à la trajectoire suivie par un point matériel situé sur la périphérie d'une roue qui roule sans glisser. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "from IPython.display import Image\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(\"Cycloid.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Le but est de tracer les coordonnées du point $P$ comme fonction paramétrique du temps. \n",
    "\n",
    "Le dessin est fait pour une roue qui se déplace de gauche à droite. C'est plus intuitif mais rajoute une petite diffuculté avec les signes!\n",
    "\n",
    "Le mouvement de $P$ est la superposition d'un movement de translation horizontale à la vitesse $v_c=R\\omega$, si $\\omega > 0$ est la norme de la vitesse angulaire, et d'un mouvement de rotation, qui se fait dans le sens **contraire du sens trigonométrique**. Le point $P$ est donc repéré, dans la rotation par $\\alpha =- \\omega t +\\alpha_0$.\n",
    "\n",
    "De plus on choisit le temps $t=0$ tel que $P$ soit en $O$, origine du repère. Donc $\\alpha (t=0)=\\alpha_0=-\\pi/2$\n",
    "\n",
    "Le point $P$ a donc pour coordonnées\n",
    "\n",
    "$$\\vec{OP} = \\vec{OC} + \\vec{CP} = \\begin{pmatrix} R \\omega t \\\\R \\end{pmatrix} +\n",
    "\\begin{pmatrix} R \\cos (-\\omega t-\\pi/2) \\\\R \\sin (-\\omega t -\\pi/2) \\end{pmatrix} =\n",
    "\\begin{pmatrix}  R \\omega t - R \\sin (\\omega t) \\\\R - R \\cos (\\omega t) \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "en appelant $\\theta = \\omega t$ \n",
    "\n",
    "$$\\vec{OP}  =\n",
    "\\begin{pmatrix}  R \\theta - R \\sin (\\theta) \\\\R - R \\cos (\\theta) \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "Le centre du cercle $C$ est donné par\n",
    "\n",
    "$$\\vec{OC}  =\n",
    "\\begin{pmatrix}  R \\theta  \\\\R  \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "Le vecteur vitesse instantanée du point $P$ est obtenu par $\\vec v_P= d \\vec{OP}/dt$\n",
    "\n",
    "$$\\vec{v}_P = \n",
    "\\begin{pmatrix}  R \\omega  - R \\omega \\cos (\\omega t) \\\\  R  \\omega \\sin (\\omega t) \\end{pmatrix}=\n",
    "\\begin{pmatrix}  R \\omega (1   - \\cos (\\theta) \\\\  R  \\omega \\sin (\\theta) \\end{pmatrix}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Définition du cercle pour son tracé. Il est composé de T segments\n",
    "\n",
    "def circle(a, b, r):\n",
    "    # (a,b): the center of the circle\n",
    "    # r: the radius of the circle\n",
    "    # T: The number of the segments for drawing the circle\n",
    "    T = 100\n",
    "    x, y = [0]*T, [0]*T\n",
    "    for i,theta in enumerate(np.linspace(0,2*np.pi,T)):\n",
    "        x[i] = a + r*np.cos(theta)\n",
    "        y[i] = b + r*np.sin(theta)\n",
    "    return x, y\n",
    "\n",
    "# Fonction qui calcule :\n",
    "# P_x; P_y, C_x, vP_x et vP_x\n",
    "# pour 100 valeurs de theta entre 0 et 9 pi\n",
    "\n",
    "def gen():\n",
    "    for theta in tqdm(np.linspace(0,9*np.pi,100)):\n",
    "        yield R*(theta-np.sin(theta)), R*(1-np.cos(theta)), R*theta, R*(1 - np.cos(theta)), R*np.sin(theta), theta\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def init():\n",
    "    axes[0].set_ylim(0, 20)\n",
    "    axes[0].set_xlim(0, 80)\n",
    "    axes[0].set_xlabel('x')\n",
    "    axes[0].set_ylabel('y')\n",
    "    axes[0].set_aspect('equal')\n",
    "    axes[0].grid()\n",
    "    \n",
    "    axes[1].set_ylim(0, 10)\n",
    "    axes[1].set_xlim(0, 80)\n",
    "    #axes[1].set_xlabel('theta / $\\pi$')\n",
    "    axes[1].set_xlabel('x')\n",
    "    axes[1].set_ylabel('vitesse x / $\\\\omega$')\n",
    "    axes[1].grid()\n",
    "    \n",
    "    axes[2].set_ylim(-5, 5)\n",
    "    axes[2].set_xlim(0, 80)\n",
    "    #axes[2].set_xlabel('theta / $\\pi$')\n",
    "    axes[2].set_xlabel('x')\n",
    "    axes[2].set_ylabel('vitesse y / $\\\\omega$')\n",
    "    axes[2].grid()\n",
    "    \n",
    "    axes[1].legend()\n",
    "    axes[2].legend()\n",
    "    return \n",
    "\n",
    "def func(data):\n",
    "    x, y, Rt, vx, vy, th = data\n",
    "    time_text.set_text(r'$\\theta$ = %.2f $\\pi$' % (th/np.pi))\n",
    "    xx.append(x)\n",
    "    yy.append(y)\n",
    "    vx_.append(vx)\n",
    "    vy_.append(vy)\n",
    "    ang.append(th/np.pi)\n",
    "    cx, cy = circle(Rt, R, R)\n",
    "    \n",
    "    cycloid.set_data(xx, yy)\n",
    "    line.set_data([x, Rt], [y, R])  # Ensure using lists\n",
    "    circle_line.set_data(cx, cy)\n",
    "    point.set_data([x], [y])  # Ensure using lists\n",
    "    velx.set_data(xx, vx_)\n",
    "    vely.set_data(xx, vy_)\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 99%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▎ | 99/100 [00:09<00:00, 10.95it/s]\n"
     ]
    },
    {
     "data": {
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       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x7d21babeb7f0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x864 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3,1, figsize=(12,12))\n",
    "time_text = axes[0].text(0.05, 0.8, '', transform=axes[0].transAxes)\n",
    "\n",
    "#Plot layout setup\n",
    "R = 3\n",
    "cycloid, = axes[0].plot([], [], 'r-', lw=3)\n",
    "line, = axes[0].plot([], [], 'y-', lw=3)\n",
    "circle_line, = axes[0].plot([], [], 'g', lw=3)\n",
    "point, = axes[0].plot([], [], 'bo', ms=5)\n",
    "\n",
    "velx, = axes[1].plot([], [], 'b-', lw=3, label='vitesse x')\n",
    "vely, = axes[2].plot([], [], 'b-', lw=3, label='vitesse y')\n",
    "\n",
    "\n",
    "xx, yy = [], []\n",
    "vx_, vy_ = [], []\n",
    "ang = []\n",
    "    \n",
    "plt.ioff()\n",
    "\n",
    "plt.rcParams['animation.html'] = 'html5'\n",
    "\n",
    "animation = FuncAnimation(fig, func, gen, init_func=init, blit=False, interval=1./36*2500, save_count=100)\n",
    "animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
