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October 25, 2022 15:26
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Animating a sine wave with matplotlib
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "id": "65eef8df-53a1-41a3-9d08-581518ea56c0", | |
| "metadata": {}, | |
| "source": [ | |
| "# Animating a sine wave\n", | |
| "\n", | |
| "A sine wave can be animated with matplotlib by constantly rendering its percentage offset." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "bf8c0fc0-5c13-462d-937d-ea70d0679c56", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from matplotlib.animation import FuncAnimation\n", | |
| "from matplotlib import pyplot as plt\n", | |
| "\n", | |
| "import numpy as np\n", | |
| "from IPython import display" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "id": "cbb11121-db1d-48ec-83fb-3e0ac756eaf9", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x7f5e5fc6a7f0>" | |
| ] | |
| }, | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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| |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "x = np.linspace(0, 2*np.pi, 100)\n", | |
| "y = np.sin(x + 2*np.pi)\n", | |
| "y_off = np.sin(x + 2*np.pi * 75/100)\n", | |
| "plt.plot(x, y, label=\"Sine wave\")\n", | |
| "plt.plot(x, y_off, label=\"Sine wave with offset\")\n", | |
| "plt.legend()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "id": "3304f629-4da4-481d-b8b9-e1c2789dfe21", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
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| " Your browser does not support the video tag.\n", | |
| "</video>" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.HTML object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots()\n", | |
| "xdata, ydata = np.linspace(0, 2*np.pi, 100), []\n", | |
| "ln, = ax.plot([], [], 'ro')\n", | |
| "\n", | |
| "def init():\n", | |
| " ax.set_xlim(0, 2*np.pi)\n", | |
| " ax.set_ylim(-1, 1)\n", | |
| " return ln,\n", | |
| "\n", | |
| "def update(frame):\n", | |
| " y = np.sin(xdata + 2*np.pi * frame/100)\n", | |
| " ln.set_data((xdata, y))\n", | |
| " return ln,\n", | |
| "\n", | |
| "anim = FuncAnimation(fig, update, frames=100, init_func=init)\n", | |
| "video = anim.to_html5_video()\n", | |
| "html = display.HTML(video)\n", | |
| "display.display(html)\n", | |
| "plt.close()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "383c98e4-aece-4ddc-91cd-4b5f2e3d6063", | |
| "metadata": {}, | |
| "source": [ | |
| "## Drawing a sine wave incrementally" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "id": "7b35857c-43e6-4d2a-9b13-f32c66ad9fad", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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| "\">\n", | |
| " Your browser does not support the video tag.\n", | |
| "</video>" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.HTML object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots()\n", | |
| "xdata, ydata = [], []\n", | |
| "ln, = ax.plot([], [], 'ro')\n", | |
| "\n", | |
| "def init():\n", | |
| " ax.set_xlim(0, 2*np.pi)\n", | |
| " ax.set_ylim(-1, 1)\n", | |
| " return ln,\n", | |
| "\n", | |
| "def update(frame):\n", | |
| " xdata.append(frame)\n", | |
| " ydata.append(np.sin(frame))\n", | |
| " ln.set_data(xdata, ydata)\n", | |
| " return ln,\n", | |
| "\n", | |
| "ani = FuncAnimation(fig, update, frames=np.linspace(0, 2*np.pi, 128),\n", | |
| " init_func=init, blit=True)\n", | |
| "\n", | |
| "video = ani.to_html5_video()\n", | |
| "html = display.HTML(video)\n", | |
| "display.display(html)\n", | |
| "plt.close()\n" | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "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": "3.8.13" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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