plotter_experiments/ode.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lib import plot\n",
    "import IPython\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = plot.A6_PORTRAIT\n",
    "p_svg = plot.SVGPlotter('plots/ode.svg', a)\n",
    "p_hpgl = plot.HPGLPlotter(a, 'plots/ode_{index}.hpgl')\n",
    "p = plot.MultiPlotter()\n",
    "p.register_plotter(p_svg)\n",
    "p.register_plotter(p_hpgl)\n",
    "\n",
    "p.move_to(a.bottom_left())\n",
    "p.line_to(a.bottom_right())\n",
    "p.line_to(a.top_right())\n",
    "p.line_to(a.top_left())\n",
    "p.line_to(a.bottom_left())\n",
    "\n",
    "A = np.array([[-0.4, -0.2], [0.1, -0.3]])\n",
    "A = np.random.normal(size=(2, 2))\n",
    "\n",
    "def plot_ode(A):\n",
    "    dia = np.min(a.size()) * 0.75\n",
    "    # step_size = 0.01 / np.max(np.abs(np.linalg.eig(A)[0]))\n",
    "\n",
    "    states = np.linspace(0, 2 * np.pi, 24)\n",
    "    states = np.vstack([np.cos(states), np.sin(states)])\n",
    "    for s in states.T:\n",
    "        p.move_to(s * dia / 2 + a.centre())\n",
    "        for _ in range(100000):\n",
    "            step = A @ s\n",
    "            step *= (0.5 / dia) / np.linalg.norm(step)\n",
    "            s = step + s\n",
    "            n = s * dia / 2 + a.centre()\n",
    "            if not a.is_within(n):\n",
    "                break\n",
    "            if np.linalg.norm(s * dia / 2) < 0.5:\n",
    "                break\n",
    "            p.line_to(n)\n",
    "\n",
    "p.add_layer([1, 0, 1, 0.5])\n",
    "plot_ode(A)\n",
    "p.add_layer([1, 0, 0, 0.5])\n",
    "plot_ode(-A)\n",
    "# A = np.linalg.inv(A)\n",
    "# plot_ode(A)\n",
    "# plot_ode(-A)\n",
    "\n",
    "p.finalise()\n",
    "\n",
    "IPython.display.SVG(filename=p_svg.file_name)"
   ]
  }
 ],
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   "language": "python",
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    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.15"
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   "interpreter": {
    "hash": "1dc4d77b1edb83bef89f833b7ed5251134c6a4899ef5e2c90c44e9927b4ae63a"
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