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Plot Sperner labellings with matplotlib
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "%matplotlib inline" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import matplotlib.tri as tri\n", | |
| "from numba import jit\n", | |
| "import quantecon as qe" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def equilateral_subdiv(n):\n", | |
| " \"\"\"\n", | |
| " Return a `matplotlib.tri.Triangulation` representing the equilateral\n", | |
| " subdivision of the 2D unit simplex with `n**2` subsimplices (where\n", | |
| " each edge of the simplex is divided into `n` subedges).\n", | |
| "\n", | |
| " Parameters\n", | |
| " ----------\n", | |
| " n : scalar(int)\n", | |
| " Number of divisions of each edge of the simplex.\n", | |
| "\n", | |
| " Returns\n", | |
| " -------\n", | |
| " triang : matplotlib.tri.Triangulation\n", | |
| "\n", | |
| " \"\"\"\n", | |
| " m = 3\n", | |
| " grid = qe.simplex_grid(m, n)\n", | |
| "\n", | |
| " # Projection to 2d\n", | |
| " P = np.array([\n", | |
| " [1/2, 1, 0],\n", | |
| " [np.sqrt(3)/2, 0, 0]\n", | |
| " ]) / n\n", | |
| "\n", | |
| " V = P @ grid.T\n", | |
| " triang = tri.Triangulation(V[0], V[1])\n", | |
| "\n", | |
| " return triang" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "n = 6\n", | |
| "triang = equilateral_subdiv(n)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x576 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots(figsize=(10,8))\n", | |
| "ax.triplot(triang)\n", | |
| "ax.axis('off')\n", | |
| "ax.axis('equal')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "The vertices are stored in the following order:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "scrolled": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x576 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots(figsize=(10,8))\n", | |
| "ax.scatter(triang.x, triang.y)\n", | |
| "for i in range(triang.x.size-1):\n", | |
| " ax.arrow(triang.x[i], triang.y[i],\n", | |
| " np.diff(triang.x)[i], np.diff(triang.y)[i],\n", | |
| " head_width=0.015, length_includes_head=True, color='k')\n", | |
| "ax.axis('off')\n", | |
| "ax.axis('equal')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "An example of a Sperner labelling (from Kuhn and MacKinnon, 1975):" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "scrolled": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x576 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "labelling = [0, 0, 1, 1, 0, 1, 1,\n", | |
| " 0, 0, 0, 0, 0, 1,\n", | |
| " 0, 1, 0, 1, 1,\n", | |
| " 0, 0, 2, 1,\n", | |
| " 2, 0, 1,\n", | |
| " 2, 1,\n", | |
| " 2]\n", | |
| "colors = np.array(['b', 'y', 'r'])\n", | |
| "\n", | |
| "fig, ax = plt.subplots(figsize=(10,8))\n", | |
| "ax.triplot(triang)\n", | |
| "for i in range(triang.x.size):\n", | |
| " ax.plot(triang.x[i], triang.y[i], 'o', markersize=12, c=colors[labelling[i]])\n", | |
| "#ax.scatter(triang.x, triang.y, c=colors[labels], s=120)\n", | |
| "ax.axis('off')\n", | |
| "ax.axis('equal')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x576 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots(figsize=(10,8))\n", | |
| "ax.triplot(triang)\n", | |
| "for i in range(triang.x.size):\n", | |
| " plt.text(triang.x[i], triang.y[i], labelling[i],\n", | |
| " ha='center', va='center', size=12,\n", | |
| " bbox={'boxstyle' : 'circle', 'fc' : 'w', 'ec' : 'k'})\n", | |
| "ax.axis('off')\n", | |
| "ax.axis('equal')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Random Sperner labelling:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def random_sperner_labelling(n, random_state=None):\n", | |
| " m = 3\n", | |
| " grid = qe.simplex_grid(m, n)\n", | |
| " L = grid.shape[0]\n", | |
| " \n", | |
| " random_state = qe.util.check_random_state(random_state)\n", | |
| " r = random_state.random_sample(L)\n", | |
| " out = np.empty(L, dtype=np.int_)\n", | |
| " \n", | |
| " out = _random_sperner_labelling(grid, r, out)\n", | |
| " \n", | |
| " permutation = np.arange(m-1, -1, -1)\n", | |
| " return permutation[out]\n", | |
| "\n", | |
| "\n", | |
| "@jit(nopython=True)\n", | |
| "def _random_sperner_labelling(grid, r, out):\n", | |
| " L, m = grid.shape\n", | |
| " for i in range(L):\n", | |
| " pos = 0\n", | |
| " mult = m\n", | |
| " for j in range(m):\n", | |
| " if grid[i, j] != 0:\n", | |
| " grid[i, pos] = j\n", | |
| " pos += 1\n", | |
| " else:\n", | |
| " mult -= 1\n", | |
| " if mult == 1:\n", | |
| " out[i] = grid[i, 0]\n", | |
| " else:\n", | |
| " out[i] = grid[i, int(np.floor(r[i]*mult))]\n", | |
| " \n", | |
| " return out" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x576 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "labelling = random_sperner_labelling(n)\n", | |
| "\n", | |
| "fig, ax = plt.subplots(figsize=(10,8))\n", | |
| "ax.triplot(triang)\n", | |
| "for i in range(triang.x.size):\n", | |
| " plt.text(triang.x[i], triang.y[i], labelling[i],\n", | |
| " ha='center', va='center', size=12,\n", | |
| " bbox={'boxstyle' : 'circle', 'fc' : 'w', 'ec' : colors[labelling[i]]})\n", | |
| "ax.axis('off')\n", | |
| "ax.axis('equal')\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "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": "3.6.5" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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