{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7c927232",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/SalgadoHUB/Classical_Mechanics_II/blob/main/Tareas/simple_pendulum.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7dEmrkExKyf9",
   "metadata": {
    "id": "7dEmrkExKyf9"
   },
   "source": [
    "# Péndulo simple: grandes vs pequeñas oscilaciones (Resolución de ODEs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b4882ff1-7b8a-452c-8dd5-6cdc61258608",
   "metadata": {
    "id": "b4882ff1-7b8a-452c-8dd5-6cdc61258608"
   },
   "outputs": [],
   "source": [
    "# importamos librerías\n",
    "from sympy import*\n",
    "from sympy.physics.mechanics import *\n",
    "\n",
    "# Permite devolver resultados escritos con LaTeX (mejora la lectura)\n",
    "init_vprinting()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "HWYfSLXios9n",
   "metadata": {
    "id": "HWYfSLXios9n"
   },
   "source": [
    "## Péndulo simple. Grandes oscilaciones"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef559b15-34f7-416e-9d54-0cef182b38c2",
   "metadata": {
    "id": "ef559b15-34f7-416e-9d54-0cef182b38c2"
   },
   "source": [
    "Coordenadas:\n",
    "\n",
    "\n",
    "$x_m = R \\sin \\theta ~~~~~~~~~~~~~~~~~~~~~~  y_m = - R \\cos \\theta$,\n",
    "\n",
    "Energías:\n",
    "\n",
    "$T = \\frac{1}{2} m (\\dot x_m^2 + \\dot y_m^2)  ~~~~~~~~~~ V = m g y_m$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3b203748-4046-4525-ad90-ba9dca373b1a",
   "metadata": {
    "id": "3b203748-4046-4525-ad90-ba9dca373b1a"
   },
   "outputs": [],
   "source": [
    "# variables simbólicas\n",
    "m, g, R, t = symbols('m g R t')\n",
    "theta = dynamicsymbols('theta')\n",
    "\n",
    "# definimos xm, ym (posición de la masa)\n",
    "xm = R*sin(theta)\n",
    "ym = -R*cos(theta)\n",
    "\n",
    "# derivadas\n",
    "xm_dot = diff(xm, t)\n",
    "ym_dot = diff(ym, t)\n",
    "\n",
    "theta_dot = diff(theta, t)\n",
    "theta_ddot = diff(theta_dot, t)\n",
    "\n",
    "# Lagrangiano\n",
    "T = 1/2*m*(xm_dot**2 + ym_dot**2)\n",
    "V = m*g*ym\n",
    "L = T - V\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba13889d-db3d-4352-b593-ce0a144d8da6",
   "metadata": {
    "id": "ba13889d-db3d-4352-b593-ce0a144d8da6"
   },
   "source": [
    "Ecuaciones de Lagrange:\n",
    "\n",
    "$~~~~~~~~~~~~~~~~~~~~~~ \\dfrac{d}{dt} \\bigg( \\dfrac{\\partial L}{\\partial \\dot \\theta} \\bigg) - \\dfrac{\\partial L}{\\partial \\theta} = 0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f1eb8de7-15c1-4368-877f-c4ed65ef6e65",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 53
    },
    "id": "f1eb8de7-15c1-4368-877f-c4ed65ef6e65",
    "outputId": "2f0e22aa-5005-4079-c3bc-c8c232ea5da3"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\ddot{\\theta} = - \\frac{g \\sin{\\left(\\theta \\right)}}{R}$"
      ],
      "text/plain": [
       "    -g⋅sin(θ) \n",
       "θ̈ = ──────────\n",
       "        R     "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ecuaciones de Euler-Lagrange\n",
    "eqn = diff ( diff(L, theta_dot), t) - diff(L, theta)\n",
    "\n",
    "# Solution\n",
    "sln = solve(eqn, theta_ddot)[0]\n",
    "Eq(theta_ddot, sln)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c380e910-6f15-4cb7-b50b-a03d5c1123c9",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 53
    },
    "id": "c380e910-6f15-4cb7-b50b-a03d5c1123c9",
    "outputId": "fdefcbd5-0269-4962-89e8-2b6ae77e72d9"
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   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{g \\sin{\\left(\\theta \\right)}}{R}$"
      ],
      "text/plain": [
       "-g⋅sin(θ) \n",
       "──────────\n",
       "    R     "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "solve(eqn, theta_ddot)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf58f7f9-5c8e-49b9-9760-4c2de0f69087",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 62
    },
    "id": "cf58f7f9-5c8e-49b9-9760-4c2de0f69087",
    "outputId": "308839cf-80c6-48fb-8ba5-7875dbcf2f37"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\dot{\\theta}\\\\\\ddot{\\theta}\\end{matrix}\\right] = \\left[\\begin{matrix}\\dot{\\theta}\\\\- \\frac{g \\sin{\\left(\\theta \\right)}}{R}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "      ⎡    θ̇     ⎤\n",
       "⎡θ̇⎤   ⎢          ⎥\n",
       "⎢ ⎥ = ⎢-g⋅sin(θ) ⎥\n",
       "⎣θ̈⎦   ⎢──────────⎥\n",
       "      ⎣    R     ⎦"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sistema de ODEs\n",
    "x = Matrix([theta, theta_dot])\n",
    "x_dot = diff(x, t)\n",
    "Eq(x_dot, Matrix([theta_dot, sln]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "wGLkNwBjrA70",
   "metadata": {
    "id": "wGLkNwBjrA70"
   },
   "source": [
    "## Péndulo simple. Pequeñas oscilaciones"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4NlNJ7m1rOsB",
   "metadata": {
    "id": "4NlNJ7m1rOsB"
   },
   "source": [
    "Partimos dela solución anterior,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eUZJZEoerRoG",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 53
    },
    "id": "eUZJZEoerRoG",
    "outputId": "c1d8f2fb-2ca3-4b20-ac43-17d5ab667b94"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{g \\sin{\\left(\\theta \\right)}}{R}$"
      ],
      "text/plain": [
       "-g⋅sin(θ) \n",
       "──────────\n",
       "    R     "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sln"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "uJwwhq3qrXX3",
   "metadata": {
    "id": "uJwwhq3qrXX3"
   },
   "source": [
    "Sustituimos $sin(θ)$ por $\\theta$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9arIdfM8rZ1J",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 52
    },
    "id": "9arIdfM8rZ1J",
    "outputId": "ab7e816d-840f-4db5-cae8-782bd4f59f60"
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\ddot{\\theta} = - \\frac{g \\theta}{R}$"
      ],
      "text/plain": [
       "    -g⋅θ \n",
       "θ̈ = ─────\n",
       "      R  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sln_aprox = sln.subs(sin(theta),theta)\n",
    "\n",
    "# Presentamos la ecuación en modo texto\n",
    "eq_aprox = Eq(theta_ddot, sln_aprox)\n",
    "eq_aprox"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ca36dc6-ec9b-4cf7-9fa7-cf8baf31f29a",
   "metadata": {
    "id": "2ca36dc6-ec9b-4cf7-9fa7-cf8baf31f29a"
   },
   "source": [
    "## Resolución de la ODE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "de93d817-ac55-4b6e-b3bf-7c2b3c2f27a0",
   "metadata": {
    "id": "de93d817-ac55-4b6e-b3bf-7c2b3c2f27a0"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.integrate import solve_ivp\n",
    "\n",
    "# matplotlib imports\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "\n",
    "# Usamos valores (g, R) numéricos\n",
    "g_value = 9.8\n",
    "R_value = 1\n",
    "\n",
    "# Calculamos T0 (periodo)\n",
    "T0  = 2*np.pi*sqrt(R_value/g_value)\n",
    "\n",
    "# Condiciones iniciales: theta=45 deg, velocidad=0\n",
    "theta0 = np.deg2rad(45)\n",
    "theta_dot0 = 0\n",
    "\n",
    "# En el sistema de ODEs, y[0] es theta, y[1] es theta_dot\n",
    "def pendulum_ODE(t, y):\n",
    "    return (y[1], -g_value*np.sin(y[0])/R_value)\n",
    "\n",
    "def pendulum_aprox_ODE(t, y):\n",
    "    return (y[1], -g_value*y[0]/R_value)\n",
    "\n",
    "# Resolvemos la ODE, con 30 fps, pata 5T0\n",
    "sol = solve_ivp(pendulum_ODE, [0, 5*T0], (theta0, theta_dot0),\n",
    "    t_eval=np.linspace(0,float(5*T0),30*5))\n",
    "sol_aprox = solve_ivp(pendulum_aprox_ODE, [0, 5*T0], (theta0, theta_dot0),\n",
    "    t_eval=np.linspace(0,float(5*T0),30*5))\n",
    "\n",
    "# Extraemos la solución y convertimos rad-grados\n",
    "theta_deg = np.rad2deg(sol.y[0])\n",
    "theta_dot_deg = np.rad2deg(sol.y[1])\n",
    "t = sol.t\n",
    "\n",
    "theta_deg_aprox = np.rad2deg(sol_aprox.y[0])\n",
    "theta_dot_deg_aprox = np.rad2deg(sol_aprox.y[1])\n",
    "t_aprox=sol_aprox.t\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4b9ff5ed-1a5e-4a47-82f1-dd2456564124",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 475
    },
    "id": "4b9ff5ed-1a5e-4a47-82f1-dd2456564124",
    "outputId": "6d4f8552-be7e-40b1-bb30-ced2d794d877"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dibujamos las soluciones obtenidas\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(t, theta_deg, 'r', lw=2, label=r'$\\theta$')\n",
    "plt.plot(t, theta_dot_deg, 'b', lw=2, label=r'$\\dot \\theta$')\n",
    "plt.title('Solución exacta')\n",
    "plt.legend()\n",
    "plt.xlabel(r'$T/T_0$')\n",
    "plt.ylabel(r'$\\theta$ (deg), $\\dot \\theta$ (deg/s)')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(t_aprox, theta_deg_aprox, 'r', lw=2, label=r'$\\theta$')\n",
    "plt.plot(t_aprox, theta_dot_deg_aprox, 'b', lw=2, label=r'$\\dot \\theta$')\n",
    "plt.title('Solución aproximada')\n",
    "plt.legend()\n",
    "plt.xlabel(r'$T/T_0$')\n",
    "plt.ylabel(r'$\\theta$ (deg), $\\dot \\theta$ (deg/s)')\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "HftI--Xo67oX",
   "metadata": {
    "id": "HftI--Xo67oX"
   },
   "source": [
    "En las gráficas se ve que los periodos son ligeramente diferentes. Dibujamos ahora un diagrama de fases (theta frente a theta_dot)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eef56336-2c05-464c-9c94-e8ef1a1f7310",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 476
    },
    "id": "eef56336-2c05-464c-9c94-e8ef1a1f7310",
    "outputId": "862b69ac-258f-4b95-b330-66ab776d15fb"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Diagrama de fases para theta, theta_dot\n",
    "plt.plot(theta_deg, theta_dot_deg, 'b', label='Solución exacta')\n",
    "plt.plot(theta_deg_aprox, theta_dot_deg_aprox, 'r', label='Solución aproximada')\n",
    "plt.title('Péndulo simple: diagrama de fases')\n",
    "plt.xlabel(r'$\\theta$ (deg)')\n",
    "plt.ylabel(r'$\\dot \\theta (deg/s)$')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "I1dc6Wewp9nf",
   "metadata": {
    "id": "I1dc6Wewp9nf"
   },
   "source": [
    "### Uso de lambdify\n",
    "Podemos usar la función `lambdify()` para convertir una expresión analítica de `sympy` a una función numérica evaluable mediante `scipy`o `numpy`."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2VkDL6ZnqV_Q",
   "metadata": {
    "id": "2VkDL6ZnqV_Q"
   },
   "source": [
    "Nuestras ecuaciones del movimiento son ODEs de segundo orden. Para resolverlas tenemos que escribirlas de la siguiente manera:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "kGJFmsve6i8o",
   "metadata": {
    "id": "kGJFmsve6i8o"
   },
   "outputs": [],
   "source": [
    "deriv_1 = theta_dot # igual para las dos soluciones, exacta y aproximada\n",
    "\n",
    "deriv_2 =sln\n",
    "deriv_2_aprox =sln_aprox"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "XrPR-n3OCrHl",
   "metadata": {
    "id": "XrPR-n3OCrHl"
   },
   "source": [
    "Convertimos nuestras variables simbólicas en numéricas mediante `lambdify()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7idY8pL9C2GK",
   "metadata": {
    "id": "7idY8pL9C2GK"
   },
   "outputs": [],
   "source": [
    "deriv1_f = lambdify(theta_dot, deriv_1)\n",
    "\n",
    "deriv2_f = lambdify((theta, theta_dot, g, R), deriv_2)\n",
    "deriv2_f_aprox = lambdify((theta, theta_dot, g, R), deriv_2_aprox)\n",
    "\n",
    "def eq_mov_num(y0, t, g, R):\n",
    "    return [\n",
    "        deriv1_f(y0[1]), #dtheta/dt\n",
    "        deriv2_f(y0[0], y0[1],g, R) #domega/dt\n",
    "    ]\n",
    "\n",
    "def eq_mov_num_aprox(y0, t, g, R):\n",
    "    return [\n",
    "        deriv1_f(y0[1]), #dtheta/dt\n",
    "        deriv2_f_aprox(y0[0], y0[1],g, R) #domega/dt\n",
    "    ]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "P_PDwQ6ODCQy",
   "metadata": {
    "id": "P_PDwQ6ODCQy"
   },
   "source": [
    "Resolvemos la ODE, esta vez mediante la función `odeint()`, que tendremos que importarla."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0nht9K1H7k8D",
   "metadata": {
    "id": "0nht9K1H7k8D"
   },
   "outputs": [],
   "source": [
    "from scipy.integrate import odeint\n",
    "\n",
    "values = (g_value, R_value)\n",
    "\n",
    "# Condiciones iniciales: theta=45 deg, velocidad=0\n",
    "theta0 = np.deg2rad(45)\n",
    "theta_dot0 = 0\n",
    "\n",
    "t=np.linspace(0,float(5*T0),30*5)\n",
    "\n",
    "sol = odeint(eq_mov_num, [theta0, theta_dot0], t=t, args=values)\n",
    "sol_aprox = odeint(eq_mov_num_aprox, y0=[theta0, theta_dot0], t=t, args=values)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "yHA9i6UJDZia",
   "metadata": {
    "id": "yHA9i6UJDZia"
   },
   "source": [
    "Extraemos la solución numérica y la convertimos a grados, para representar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "Gtxg8gy7BBpv",
   "metadata": {
    "id": "Gtxg8gy7BBpv"
   },
   "outputs": [],
   "source": [
    "theta_deg = np.rad2deg(sol.T[0])\n",
    "theta_dot_deg = np.rad2deg(sol.T[1])\n",
    "\n",
    "theta_deg_aprox = np.rad2deg(sol_aprox.T[0])\n",
    "theta_dot_deg_aprox = np.rad2deg(sol_aprox.T[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "EMbDCW9p3kLU",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 475
    },
    "id": "EMbDCW9p3kLU",
    "outputId": "ea5dc168-aa14-4161-d9ff-6121b9675397"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dibujamos las soluciones obtenidas\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(t, theta_deg, 'r', lw=2, label=r'$\\theta$')\n",
    "plt.plot(t, theta_dot_deg, 'b', lw=2, label=r'$\\dot \\theta$')\n",
    "plt.title('Solución exacta')\n",
    "plt.legend()\n",
    "plt.xlabel(r'$T/T_0$')\n",
    "plt.ylabel(r'$\\theta$ (deg), $\\dot \\theta$ (deg/s)')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(t_aprox, theta_deg_aprox, 'r', lw=2, label=r'$\\theta$')\n",
    "plt.plot(t_aprox, theta_dot_deg_aprox, 'b', lw=2, label=r'$\\dot \\theta$')\n",
    "plt.title('Solución aproximada')\n",
    "plt.legend()\n",
    "plt.xlabel(r'$T/T_0$')\n",
    "plt.ylabel(r'$\\theta$ (deg), $\\dot \\theta$ (deg/s)')\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eBhaaw3Yu6iT",
   "metadata": {
    "id": "eBhaaw3Yu6iT"
   },
   "source": [
    "# Anexo: animación"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "QkyHcyqLnZaJ",
   "metadata": {
    "id": "QkyHcyqLnZaJ"
   },
   "source": [
    "Pdemos relaizar una animación con los datos generados anteriormente. Usamos la función `animation` de m`matplotlib`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e7b2f3f4-20b8-4cf4-accf-4f28550ac776",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 597
    },
    "id": "e7b2f3f4-20b8-4cf4-accf-4f28550ac776",
    "outputId": "2fbae88f-84fe-4bf0-8339-30f0e52022bc"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_imgf7a473ea3c8c4f18aa38e88231b6a963\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_sliderf7a473ea3c8c4f18aa38e88231b6a963\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"animf7a473ea3c8c4f18aa38e88231b6a963.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"animf7a473ea3c8c4f18aa38e88231b6a963.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selectf7a473ea3c8c4f18aa38e88231b6a963\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_f7a473ea3c8c4f18aa38e88231b6a963\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_f7a473ea3c8c4f18aa38e88231b6a963\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_f7a473ea3c8c4f18aa38e88231b6a963\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_f7a473ea3c8c4f18aa38e88231b6a963\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_f7a473ea3c8c4f18aa38e88231b6a963\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_f7a473ea3c8c4f18aa38e88231b6a963\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imgf7a473ea3c8c4f18aa38e88231b6a963\";\n",
       "    var slider_id = \"_anim_sliderf7a473ea3c8c4f18aa38e88231b6a963\";\n",
       "    var loop_select_id = \"_anim_loop_selectf7a473ea3c8c4f18aa38e88231b6a963\";\n",
       "    var frames = new Array(150);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        animf7a473ea3c8c4f18aa38e88231b6a963 = new Animation(frames, img_id, slider_id, 40.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x79a647ff5510>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Importamos las librerías de Matplotlib para crear animaciones\n",
    "import matplotlib.animation as animation\n",
    "from matplotlib import rc\n",
    "\n",
    "# Para tener la animacion en el propio cuaderno de Colab\n",
    "# (otra opción sería descargarla como un gid o un video)\n",
    "rc('animation', html='jshtml')\n",
    "\n",
    "\n",
    "def pend_pos(theta):\n",
    "    return (R_value*np.sin(theta), -R_value*np.cos(theta))\n",
    "\n",
    "# creamos figura\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(aspect='equal')\n",
    "ax.set_xlim(-1, 1)\n",
    "ax.set_ylim(-1.25, 0.25)\n",
    "ax.grid()\n",
    "\n",
    "x0, y0 = pend_pos(theta0)\n",
    "line, = ax.plot([0, x0], [0, y0], lw=2, c='k')\n",
    "circle = ax.add_patch(plt.Circle(pend_pos(theta0), 0.05, fc='b', zorder=3, label='exacta'))\n",
    "line_aprox, = ax.plot([0, x0], [0, y0], lw=2, c='k')\n",
    "circle_aprox = ax.add_patch(plt.Circle(pend_pos(theta0), 0.05, fc='r', zorder=3, label='aproximada'))\n",
    "ax.legend()\n",
    "\n",
    "# dibujamos cada frame \"i\"\n",
    "def animate(i):\n",
    "    x,y = pend_pos(np.deg2rad(theta_deg[i]))\n",
    "    x_aprox,y_aprox = pend_pos(np.deg2rad(theta_deg_aprox[i]))\n",
    "    line.set_data([0, x], [0, y])\n",
    "    circle.set_center((x, y))\n",
    "    line_aprox.set_data([0, x_aprox], [0, y_aprox])\n",
    "    circle_aprox.set_center((x_aprox, y_aprox))\n",
    "    return line, circle, circle_aprox\n",
    "\n",
    "# Dibujamos. Con \"interval\" controlamos la velocidad\n",
    "ani = animation.FuncAnimation(fig, animate, blit=True, interval=40, frames=len(t))\n",
    "\n",
    "plt.close() # para que no salga una gráfica espúria.\n",
    "ani\n"
   ]
  }
 ],
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  "celltoolbar": "Slideshow",
  "colab": {
   "include_colab_link": true,
   "provenance": [],
   "toc_visible": true
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  "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": "3.9.7"
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 },
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