mediapy_examples.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "20301766",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Copyright 2024 The mediapy Authors.\n",
    "#\n",
    "# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "# you may not use this file except in compliance with the License.\n",
    "# You may obtain a copy of the License at\n",
    "#\n",
    "#     http://www.apache.org/licenses/LICENSE-2.0\n",
    "#\n",
    "# Unless required by applicable law or agreed to in writing, software\n",
    "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "# See the License for the specific language governing permissions and\n",
    "# limitations under the License."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--\n",
    "pylint: disable=line-too-long\n",
    "pylint: disable=missing-module-docstring\n",
    "-->\n",
    "# mediapy: Read/write/show images and videos in a Python notebook\n",
    "\n",
    "[**[GitHub source]**](https://github.com/google/mediapy) &nbsp;\n",
    "[**[API docs]**](https://google.github.io/mediapy/) &nbsp;\n",
    "[**[PyPI package]**](https://pypi.org/project/mediapy/) &nbsp;\n",
    "[**[Colab example]**](https://colab.research.google.com/github/google/mediapy/blob/main/mediapy_examples.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:06.659186Z",
     "iopub.status.busy": "2024-02-18T07:44:06.658892Z",
     "iopub.status.idle": "2024-02-18T07:44:08.172029Z",
     "shell.execute_reply": "2024-02-18T07:44:08.171454Z",
     "shell.execute_reply.started": "2024-02-18T07:44:06.659170Z"
    }
   },
   "outputs": [],
   "source": [
    "!command -v ffmpeg >/dev/null || (apt update && apt install -y ffmpeg)\n",
    "!pip install -q mediapy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.173218Z",
     "iopub.status.busy": "2024-02-18T07:44:08.172732Z",
     "iopub.status.idle": "2024-02-18T07:44:08.429062Z",
     "shell.execute_reply": "2024-02-18T07:44:08.428465Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.173202Z"
    }
   },
   "outputs": [],
   "source": [
    "import itertools\n",
    "from typing import Any\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import mediapy as media\n",
    "import numpy as np\n",
    "\n",
    "# pylint: disable=missing-function-docstring, redefined-outer-name"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.430518Z",
     "iopub.status.busy": "2024-02-18T07:44:08.429826Z",
     "iopub.status.idle": "2024-02-18T07:44:08.433107Z",
     "shell.execute_reply": "2024-02-18T07:44:08.432591Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.430501Z"
    }
   },
   "outputs": [],
   "source": [
    "DATA_DIR = 'https://github.com/hhoppe/data/raw/main/'  # Or any local path.\n",
    "IMAGE = DATA_DIR + 'image.png'\n",
    "VIDEO = DATA_DIR + 'video.mp4'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Image examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.434218Z",
     "iopub.status.busy": "2024-02-18T07:44:08.433973Z",
     "iopub.status.idle": "2024-02-18T07:44:08.448597Z",
     "shell.execute_reply": "2024-02-18T07:44:08.447997Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.434205Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAIAAACRXR/mAAAQfUlEQVR4nE2Z264muXGlVxx4yvx3VUvwI85b2zBgaAzbGqllVe0/M0nGYS52t2wiwBuCwIcVDAaxSP8nPyq4QjpkQE7oC/rx1G9/rd//X/vDn/sf/qv/8T/7+HPHXxp+rfipeATOIKAADRiEg/bB/37ov43yr6P+86j/PNq/jPqvQ38MxpEYhjHRb7QL9RPls+v7n+Tzn/j6I99/oOc7zQ9aB3Znq2RKYIC/ZoATHJBY7Jt9sxlv4xU8gpEMCCCAAgwiAKCv4E1sECdNEiIRYiWqX6v/GEkIQjBcFCKpTIXYgEhCgJzYSYxUCUyQfzAlOBf7ZJ9sm/fmbbxcdkgJQQqgIAUxwCCACASAFniTBClImUSJG9EgEoJTAokEEgjAicA1RaMwGVEkECAHO6nBiFwJ8juZAJIp8bDfYlP2lLVkbnmMb/8dKxUogIC+BCMARjyJjMRJQCqklbgzHYwX5d8p8UUWiSA495QaqlSYHEAmBcShG06wpFD+32qlxJv9LX6z3bwfnpPvxWWLmrDrKwpQkAVQfO0iAtFF9BAv4iAGiTJXlkH0IvrOGZSfyMz8UqsbHywNpVBIJiUnxLPsNIYjPSiUIQwhMLbkLfEW/xR7y7pk3qKP6BJZQibpaqEjakMFCkhAYsQ30Rt0Ey8iJyImZR6MF+M7p3ESZUeszIxkpxrcIQOlZkoyhWZUT9/plBHphlR2pc20hKbglrjV37J/qnyqvJVuwaOx1LduL0/UnrWiKVVCCdINnuCb6CJaRE4gRqEcnN8kNjsRKsVFsRARQJKAS2oLasEaTl4jwiIoIiN3JiNU/qJsQkswOafGLXYV/lT6qfjUuNRv3VPnLreVFrVlKxiKRlSTipMY8SR+CA/BOYmisp/sxkYclfOkvDNnpGUmCCEUEBe1Ip5kmZ7mSE+LpARlqvy5sjFvwZKcEo/arbhKfBb7LPuzzLvcs9ZVq7UarWIohtBgbqCarMFiTEZYlJuC2CrvkzczGvtJuCkfxIxYgAW5S2xJAzZ9RRqZkTvghEAmVP6jkgkZY0sswdR41J+yrypXfd5VrqpPld3Um0ZXDKVT6GAexJW4gBRESZkcQQbalacwdfYX02JMxMyYmTMwjdemtXgvsSm2xJbGZt8SxukUThGk8n8bhcAYJrnVt2AqZsGsuCueRnfD03g18s55MA6hk/nFPEQ6cxUWYRYOIRfeyk9hahzMG8xBcMJCzsBjdC26p16P3k+9n/I8NWfxVXypbTETc/Yg1T/1DM6QdEmTNI2tsUvsGqvG6rF6rJF7pA/kATqJX8Qv0VOkq7QiUpgaZ+fdeQ7mytnFuszCzAxQWmIGLuP3kp9P/XG1n1eja+Td7Gl4ms+ydllbzWQ7K/+pZ0p8kYW6i7u6F/Nq1sy7+TAfFofH4XQknckvkhfpS3UUrVW0Cw6Ok9cHi0gOsSrPyXIINyYh8qQV/Db6uUp7qlyDPg//PPZ1zGvQ3eNptspeZW7dLsp/6gGhFKRkSqZ6qkXdWRfazr4wFo6NY/O56TQ5Xc7UF+kppRdtTeUQvMS3MCSr7FOURKvyKXQKVRBAK/hwrbvQ0+Ma9nk+Pz+ez/P6POkaefeYv5EtU6V/7wQB/daDE5qkQdWpOnfjvvlYck49J84p59LDymE6oJ1K11p6waF4lFydVKrwoWxKUFKlLtTBHGKAeMnd9hrPc1zXq39+lB8v/fni90HXyKfHlFjwDc3/aMmSJMkK0mQFF3AlbaQdZaAcoFfi5XJaOVY5ZumrNNeaRaWgFlwFSzM0SaJqHhofmo/ClFKZU9STwDVr89H2aPOs91nep35+yM+X/Dz5qnyDHtAEbWj+WhOaImAFK0khrVJalKZ1JEbymTiDT9fT6uDWs1ZXWYVMEoVEMatbWaGTyiq6mu6hdmgciiYsqZU5SSJbxiAbtA6ehzynXoe+D31X/YTeKBMOBKCOGtBwSVegMKqWSt44u/JR4ih0VD5KObQN7h29RBUrtCRctwmgvopZWa4P9GK9VGfRXdVVk1gscjAR6UZ/Yiw/3EfuQavzajpbedAe2EQA9HWYDCWhCQV+w+LdlHuWAYygEXLscqw67t76qKWrNKB4SDjHFjexrcvL9PKkPJCb5CKZEAvGFr5QT2KlGhgPjneOGd2ihRc2VUM1dEMCDFRgA7pRAKHfmQhV0BiNqYt00oE6vHUb7R7tfWgfVGpy2cnuvI228UyZU6fJ4zKDZ9AK2ka2CBfkB8mLSkMjDMd40C/UCQ0IgRVoQALyO5MDalCCElRQCEVQCpWitZRaStPWuDeM5qPOQ98nj4FSjcWCl+Mx3JuezQ/kcZ4/aDttg2/kTNxJn6n/neVbtpG9YADdqW0qk8WYIFEku5AIqsEAB/ILi6ECzd/hSi2t1t5q67WOWkaVo8ZZ9invg/sILQZ5nG7L98r3ymvTDX5AC/B3xA4s58f04vJT9G/evnt/xeg5FJ2/GrxwlEBxrYuaVpMI5EYCADSggPI/NKtFe6mj9KOMo/SjtrPoqXTKPnmcKD1It/Pcea34OeNzxufKa2EiNtzhtLb8ZZWH+QL/lPL3aN9tfPg4ow+0SkVFRJNrcFtlePWFZGKmh2gRO//+MIcSKbciXfXQcmo5SnuV/tJxankpneInlyPQwmUvzCfu26/bfj75c+W1YgKGnWABVRB/ApfLW8rPbN93/777h7dXlpNkCPWarRkPqKMAKpAKbZBNvEkJhUm4KNfCTWWojCIv1Q+Vl+pL9CXlZD4pDmCkVZ9sr1zf7HnnfeF+4lp+7ZhvcjghClzggHEU/W+pb7S3t2u2a9cndBO7AjWkR/UoFF2j1agjy8piUIPqqKKiVaQWaYVHoaH0UnwIXpIviRfHi+mkHKCeolHIu9sR+wPrzjl97b3cd2ZcxBBBASajKkqBtk3tr9G2VVsljAkQiVptDGOyotabj+Vje7OonsVTy7cqRaSIfmH1QofmS/2l+xvLB9OL4wR/SdXSODJD0hv8TP/mvrfHDOwgTwK96auECmpFadAG7kD7EZVcxFAzhsSullisq7TVbZ9mh3t37xE1Qvv3RoWl/KYW9ZJH8VP3i/HB8UHrA3qCjkTP0NgUyyMsNXM4PjbFZHpYpuiGehHUH9wgDaVBO0qHNnAFl0/QyHgyl7i3DZ3SZ4mnxRqxz9xHek/vGdp/aaRMRbgqN6Wuceg+JF6yPvj5AJ3JZ2AQaqZ4ZHiGIRFUjT+W8NRy1XZzn9SslBiC8Tca0AEdKA21ohSouGJKbAnjnbKIp9Bd6e6Yg9ZB6yQb8E6u45cG4a9miCroJQ7xg/NF+UK+Ms7Iw7MlShI5ubMlAxRct8iq7fHj4vPtx81jlbYPjRfR+Ssf0I7a0SqaojN6eItoBtlUl9RH9a56NX26zCHrkH2wdzYd31oIZ+EoHE28qw+xg/eJ/Yp9up1mI6MSJBmu8EbREt25WWmz0YOPq3x85uvNx1PbHOInxSvp/JsO1IquOBgn8ApOI91MS8qj4yn9ru1u7e716WV13UOti2l7NRdyJa+clbPLHjQPPGc+h9+DZs/V2CqBUsK720H+LaEhw2rf2abwE37h41OOq7Z78D7gZ+QIbX+vBYPxAiwYVmTXNgueqk9pdz3velz1uGufrc7Wdi27qKn2SgooRaFs5I12p9nzav5u+dniajwr7YKkLB6HuZEpYiQhtDqdVuoCJp+39nfVq+E5Yg/P7lyo8o8DsYNyn7LONsc5ez5Nnlaf1u96PvX11GOWMUvbpW0UUyqFBFCkIhRWsEtO9bvEW/FZ8Km4FVsAypJpksJxkG8CoAppQYcTm4xdyqx0V7/6tr5RDUI36o6VLrqO/nw7n9e6X/EcuIc8vc7WZxlTz6nHkrG4GYpppHimA440pCE3clEsyknxUD6UD8fiBMEFyliCLeRCIQxmZlHWAi1ZKIpZnVYflAeyAUS0K5Zu6nPc9/d5/7LvD7tf8Rz5dJpVVtGtxbgaN0dxwHVu9vhCySW5LLb59thuFu7hkR4ZSQFCMlI4hKNoqEbhKJKlpBbSylqUS6NyQD8gvwAbQYgRtuak+fR5fczrj+v6Zd8fNg9fPXYNUzjDieI3GwzQ+yIXWMllWJEbvtlddxZD3Wxb3EoYZYCzMKmKlEK1ZkvrsjvNLrUX9MKtelOqqg93xwd8Iwg2sMwesrvt67Wv7+v+w5rf1nqt3ZfXHbqTN2hTbAplRurnDwpNL9gttsVyt9xBGzJFVy0r6pJqng7KwjRSW63SPAfZKM+R90l8836EH4lH9qTc0M/o8G/YgvXCdNzid7X73PfHer7P+X2uc/p4ot6pjUg5mQPiSdRIf/4NUTJKeE+fbts9LLGEV9UH5dE2ve1wI00Vbqqj9tJBS+ysz3SZaRN1Ei/Chlsuj4yo1z4xK6bjBt2Ku8Z92HPs+Zrrddvr8t6zVGJlIsmkcLYd2UR//JpZEjWjR46IbREb2MKz6VPqnf3JvuCbkcKsUipFDYaVvfe13Fc8K3Wl7KSdsMyIyC20xnyG38SX6l3orvl0W2OtMW3c3q/sDUVZCAgKS5+CnlFDf/w1UZNaoDtNhzmFEZbK4jK5PdRvGZN9cwYRs1RmcCpFNVvXtrmdd8hOsWCHOiRMcyk9Ve+yr4qrlqvx0zBb7LatTq93lHeWQsJMYHjGShuImlxTf/4aVIN78AheLu6apmxFV6mzjFnmU/ajv2OleoCdimffbm4W27GDtrNJsayWLfbIJTSL3Me6zrgGX0Nmw6phxUJnypN8ESsRMQWlISbi/vIYoT9nygx5QlYU85LGMJKtdfex+z3HnG09xZdkJIlLLJZH2pPbfD/b13bbjhW8vW7qFqdviTXwKD2H3B9+v3AfOjtZCRdLXkQPZaEUTnAEp1E8hEZZiAr0jRBE2VF+eLoTXNmpmnZr5z6ffc419mo2JSKIN+dVSuR6sC3sNru3zxWxnBe3Red2Muu+IpZidn5e6/4Wz4tXJ9NMdmBzTHElZzZIhsTmaByVUwkKvRCKdERk0GcIR6pTdz2s3nvMfa512uq+JCPAkzllTxjBzG1uf6+4Z9gMntEXcnnZe++dviRmy3nQ/PD5whochEQwDL5kK9bXpeAaJr7YC6dyCumDLIhEACGIenk2p9vlsTqtz30se+09fEuEg4Vly1Y2InOP2eJq8e5hPWmEPeDpx/S9DHuLrRprYJ17HbFBgQRcYCwrIeREBkFIuvoSL+JCKawTEQggGFEQbpFP0OMyXafX7d3scBthmm4QkN1sKga4F181npZXy92DembP2mMO92k5jdcue3dfIzdsAwEwguABgywIMYGRkiFh6ltcOJh1IYFk5G+pROQMWsErdHvZ1sz6/2ClkxV2EQeFR+ySs8RTc9WkmtRytNg1vDqqSbVSdtvGvhGGTGQiCa6wBBMzMRHwm3kbIi4SzLqRhBSkIR0ZyNzxVfBiXsyre3VrYZouyElW2FkcHBFhGqvkLDkLuKbWXCWsRtRAcVEv6lUMbGCDJyAIhgcswRAG0dd3E0dIiISIE6sBjC9PIgMZiMzADrZgC/FQ95Je0xVOhEIu7MyBjJR0TVNszV1AiqJpBaGZGqTB6ipe2UD+m+uRQAoiEQlPNiIGiABGcgaHc7D8f0gA3jNAP0KFAAAAAElFTkSuQmCC\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Display an image (a 2D or 3D numpy array):\n",
    "image = np.random.default_rng(1).random((5, 5, 3))\n",
    "image1 = media.resize_image(image, (50, 50))\n",
    "media.show_image(image1, border=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.449475Z",
     "iopub.status.busy": "2024-02-18T07:44:08.449327Z",
     "iopub.status.idle": "2024-02-18T07:44:08.752609Z",
     "shell.execute_reply": "2024-02-18T07:44:08.752074Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.449463Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>A title</div><div><img width=\"64\" height=\"64\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read, resize, and display an image:\n",
    "image2a = media.read_image(IMAGE)\n",
    "image2 = media.resize_image(image2a, (64, 64))\n",
    "media.show_image(image2, title='A title')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.754380Z",
     "iopub.status.busy": "2024-02-18T07:44:08.754119Z",
     "iopub.status.idle": "2024-02-18T07:44:08.763400Z",
     "shell.execute_reply": "2024-02-18T07:44:08.762785Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.754367Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>checkerboard</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAIAAAAlC+aJAAAAfklEQVR4nO3VMQ6EMBAEQZb//9mXIfILmpWqIuOshaWZ6+Wc85xnZsX9fS0noDZfeMf/3K//AwJq8/742vu2AxusD7ADNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQG1H4RtgGgBrlFhAAAAAElFTkSuQmCC\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>darker noise</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>as YCbCr</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>as YUV</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>rotated</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>thresholded</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show titled images side-by-side:\n",
    "images = {\n",
    "    'checkerboard': np.kron([[0, 1] * 8, [1, 0] * 8] * 8, np.ones((4, 4))),\n",
    "    'darker noise': image1 * 0.7,\n",
    "    'as YCbCr': media.ycbcr_from_rgb(image2),\n",
    "    'as YUV': media.yuv_from_rgb(image2),\n",
    "    'rotated': np.rot90(image2),\n",
    "    'thresholded': media.yuv_from_rgb(image2)[..., 0] > 0.5,\n",
    "}\n",
    "media.show_images(images, vmin=0.0, vmax=1.0, border=True, height=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.764556Z",
     "iopub.status.busy": "2024-02-18T07:44:08.764087Z",
     "iopub.status.idle": "2024-02-18T07:44:08.770942Z",
     "shell.execute_reply": "2024-02-18T07:44:08.770342Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.764542Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"60\" height=\"60\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show a scalar image using a color map:\n",
    "image = np.random.default_rng(1).random((5, 5)) - 0.5\n",
    "image3 = media.resize_image(image, (60, 60))\n",
    "media.show_image(image3, cmap='bwr', border=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.771908Z",
     "iopub.status.busy": "2024-02-18T07:44:08.771765Z",
     "iopub.status.idle": "2024-02-18T07:44:08.784641Z",
     "shell.execute_reply": "2024-02-18T07:44:08.783964Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.771896Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>gray</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>[0, 1]</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>bwr</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAA8CAIAAAC1nk4lAAAJzklEQVR4nJVaTY/jNhJ9kiiZVrMVj9HbWAR9GGCDHIL8/5+QH5DDIMgph2B2Meg1vF6PRmbT9B6KKpaKcgcrEILsJqnHx/p4RXf1yy83Y2AtrEXfYxjw6G44HnE44PUVX77gyxe8vuJwwPGIcUSMMAbO4fkZHz/ihx/w00//nD58+oTffsMff+DzZxyPmCYYg2FIvX78ET//jH/8/St+/RWfPuH33/HnnzgcUr++x36P77/HywteXvDxI15evnYfPn/OLz+dcDphHDFNqGMEALrTww0V6jp9rmvd5JfzGPpkzOJOD6ovuCu1rkt3ehDfhADVYkzN8JNsTYl15f3gAfwXRhxj/pgv2Y+A0pf0LJsxftSgud0HXXJ1H3ptNHcEWuMuaQbSAxmowO09qK2ADiHNI3dhAa6EXjBtBGjCIJnW5sE0W5s+9n0CPUO/+IpBE26J3sSojSYEbDoB4R5u8oMQEAJj5cagqaXuCrH36RsKAtSsRd9PE6h5nx+4Ge/51bmhX1InFyCveZUKMYMmU8lM8zoYND07l0H3PaydDpC4qfFzMg8azntxjVWzCpqstQDNWHmH6VIrvdVNJeMrbSuBFu0S23FM0Y3uivXENOHuumQ93mMrt1wyzVGPQIeAEKp47bpGmiX9kYfW9eziNGHfw7ncyTnsdhgGauczuBF6tYAMmpkmsmFnuCIMpY2nvWeyQ4D31m7ZMmlOII+j7iGgoe2gTrQUaxPo3Q673QUbyiP3EE/T0jwk7ptrq7XwmeOZYBred92Wt51AE4kK9IZpJsOglQ0Dgz6+gkHTXVK+Yh4c+Aj3hlgpXYwWKnF7b4UjMWgO22we2TZiTGRbi2HAfo/9/r9jczzieMy4Jd8EWjsiw82glX9NU04bCvQeyjyoo7ULpuFssoe6Tosn0E9PF/Nw+BdK0JLmcRSgZXJhsuEK87A2RQ+JOwR43+Da9w3vPEOicdzxZtqq7xFCeiVllt3uzT4eZlWmcEuaE9NlDmfc11g1iuxpQgg5ni19seu2kmnqyI7AHVtrE1yaxLmrfTgeMmLFMd2Z5mnC/GIReUX8RaPSBjFNFspYaMAcQMhIgASdmaZBIaAls5698NptT6dMbWnKKk57D7Mafxm31jcUydnL2FopL/Y503GAYV+kKwTcbFPN7nmtW+ZS+Ry7ncyFKSOqKKwljtRlq6BFxlO95H6oBTbGIMZb3fhphUgp7laFnun7FW2Y38Fux4jYpllbCNxSLfNKZC8p90pHkg+rLc3pXKaZLZLR4xwW4aKEQyHNGBjDk3JfST/z3dQ3WnljTF1X79cbq6LY7PeZMsLK4bYKb2lvFN9srUsRLEli91Ae0XVIWw7AGGu3Icg5ymIg7S7Fm1Q27PcJhsLd4i3FGMZCi5W6k9dnLaydTnmN5fZQ92r6liwXgDFVjM49hJDMmvyP46aaLU/49KQjRINrVoH0AiabtpyGMmLn4Ny3qZLyV4FOM8e3rH3ISb2vYhyGR5WMJVdyKirezfMzKtyyO4zCaReqD5lppnlWwG/15nzKWYBDHofRtLPjlGIbJSmax/smxt3uuzJclDtGks5Uh3/rjCK0mx5t5uqLaHYOw3C1D+fTQiHQGjn50IgG10QzdeWEGQKAtq53u8eS5tLGpgkGr685nSDXqjrwyNEcZZy7ucfzMo3RKzkkZ6ckFthyZ7Pmbdw+d7vdRuKWpiwN2OB4hLpi1He1Xj6MGgaletnHqLtkiyVKdhgya+HWw9PfVGlY8u09DE6nHJ9y6MfiS1WQzv73daykYFC2wZEmLVzuIXsrIx5HjGM1fev7Lbv3Kt/ew2AcF+D4oURM4XAOF1+nptQ3HDeAwr7MkhG5DFkB2S3XHmSGK9BTFCnTTqk6BMfffCMNQ7ogxw3lFwvDZCfVWid/KnUaxzCT5mYZtjpizSrKsoJjIxmqUucLXS7LhKXokaTKNdR1ntbor1fhzohvdssEK/+TNJdVhfe4+GrT94sIzQbtHIaBjmymo86FqlSqaxTHX+rYQCC+xHY8rhTJjJj1H1PFTFOfzeAyYs5A5CfDgGH4z6k6LZOUgj6bh5BpC9CsYvr+ZreUE8pjFMkxC38ZhGJMIe58Rl1Xbveh4rItRn7XJbbnA1QsWoUeIwyce98qLqE5H3JxoWKFUhoq9jDZ5O20gK7bdv22zjUxpkOacPVgScXsJWhpGNbC2je04xIrQ5cmoWyurFP4LImy4bJGy9lGniQxx/QWWbzECINhKA3jWrecbu9ZhTRixqFwS6bpLs1GHleU5ZYqtJbmIUF33RWN93m5CrFyEc5SgPZkjr8crQmx1GNMoawIJcqy7kocMehrrNROEUQZK8roxoixlj0k7nBH88omwZX3LHRvdhsCwvLsuqS5jESYS1uChWVlxaDj/HuBnHzVvVROkQ9KExkSW7xNPCN7bnneyhFWwlKOyEdhdZ2P9tQrlCszynouLpUCyqDl3pWmJh+U0uWp5ftK2yCJEOPircoGVKyUuU4mQp7BqO1Ql8rGyifUi0spwN/HmEWPCpRKLqtlyzvjNMYs8JWLKxfK/curZEtxzH04kce4smA+65Kblh1x092Mqfz8g4PkVZ42ySbfVG5umV/UcNZ59woqBbrkzmAcG2O2tjOmUrlKurw8N1nluORS5cUQsqIvdX1pG4rjBdM4n2lpbde1fUfnVBC1uff56ESBVqbGCJi5rlvg1mUBFvNIO1Y0Awr06SQlx9Za41o2FRVPpJqLy58xVplmA3unG3euazT1bS0T6ipbgJ43r+175zaKbAWazwlW0Uim+Yyy61DhphO0Fx/vZW1APRucTokN75ODxNj20bktgy5FAnL0ydPyiyR/VEJU/oKzz+lUmba8405gEtcMWkbRGBFjO9TObVRmoZ94WNxJfKtMJ4L9JStapZEVbolYxSZk1zE4nzXoGctmqJ1rZQxRBygqn8mdZKZbc8Np0lpRSgJpdiUZKnAk0FSByMgpdrcfvmO1QFWpUjnAX5h11o3n8+KnK1n8lOWadM8iJRqM4+IgSA7ouspaazfy7Hya2PLzCdjqNYOeVRLLRYauakAUAWU1+IEOa5S3Ss+fJjts1DG9n39If4fpvKtS2knQhHsV9PtpZgGax1AVOoOu+t7aVv2MxFmmlBYKdw6ZsnqTZLM8V6DlL27L3GjAskMOWKpSY9p7K+ehK3AxB2ZVvqqyQjHNiBVogXsNNEeSGXfXP7D2kGYmhTXnagld5ydVLdN/B0qFrkATEjPXFLM7mpzZylpgblW8GtPIOVUsunutlodlRaRAK+nN0P8P0JH+XbC5J7uUYSwsRCrdsthSv3dgVrEqmceoLOR/LCgHhFIzV3YAAAAASUVORK5CYII=\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>jet</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>jet [0, 0.5]</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>radial</div><div><img width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# More examples of color maps and value bounds:\n",
    "images = {\n",
    "    'gray': image3,\n",
    "    '[0, 1]': media.to_rgb(image3, vmin=0.0, vmax=1.0),\n",
    "    'bwr': media.to_rgb(image3, cmap='bwr'),\n",
    "    'jet': media.to_rgb(image3, cmap='jet'),\n",
    "    'jet [0, 0.5]': media.to_rgb(image3, vmin=0.0, vmax=0.5, cmap='jet'),\n",
    "    'radial': np.cos(((np.indices((60, 60)).T / 10) ** 2).sum(axis=-1)),\n",
    "}\n",
    "media.show_images(images, border=True, height=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.785552Z",
     "iopub.status.busy": "2024-02-18T07:44:08.785342Z",
     "iopub.status.idle": "2024-02-18T07:44:08.795418Z",
     "shell.execute_reply": "2024-02-18T07:44:08.794824Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.785538Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script\n",
       "  defer\n",
       "  src=\"https://unpkg.com/img-comparison-slider@7/dist/index.js\"\n",
       "></script>\n",
       "<link\n",
       "  rel=\"stylesheet\"\n",
       "  href=\"https://unpkg.com/img-comparison-slider@7/dist/styles.css\"\n",
       "/>\n",
       "\n",
       "<img-comparison-slider>\n",
       "  <img slot=\"first\" src=\"data:image/png;base64,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\" />\n",
       "  <img slot=\"second\" src=\"data:image/png;base64,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\" />\n",
       "</img-comparison-slider>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare two images using an interactive slider:\n",
    "media.compare_images([image2a, media.yuv_from_rgb(image2a)[..., 0] > 0.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.796233Z",
     "iopub.status.busy": "2024-02-18T07:44:08.796088Z",
     "iopub.status.idle": "2024-02-18T07:44:08.799785Z",
     "shell.execute_reply": "2024-02-18T07:44:08.799251Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.796221Z"
    }
   },
   "outputs": [],
   "source": [
    "# Write an image to a file:\n",
    "media.write_image('/tmp/image3.png', image3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Video examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.800988Z",
     "iopub.status.busy": "2024-02-18T07:44:08.800658Z",
     "iopub.status.idle": "2024-02-18T07:44:08.882996Z",
     "shell.execute_reply": "2024-02-18T07:44:08.882408Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.800969Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><video controls width=\"65\" height=\"65\" style=\"object-fit:cover;\" loop autoplay muted>\n",
       "      <source src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/>\n",
       "      This browser does not support the video tag.\n",
       "      </video></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Display a video (a 3D or 4D array, or an iterable of images):\n",
    "video1 = media.moving_circle((65, 65), num_images=10)\n",
    "media.show_video(video1, fps=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.883874Z",
     "iopub.status.busy": "2024-02-18T07:44:08.883670Z",
     "iopub.status.idle": "2024-02-18T07:44:08.955739Z",
     "shell.execute_reply": "2024-02-18T07:44:08.955198Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.883860Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"48\" height=\"48\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/gif;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show a video as a GIF, so that it is visible in the GitHub notebook preview:\n",
    "media.show_video(1.0 - video1, height=48, codec='gif', fps=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.956927Z",
     "iopub.status.busy": "2024-02-18T07:44:08.956522Z",
     "iopub.status.idle": "2024-02-18T07:44:08.966155Z",
     "shell.execute_reply": "2024-02-18T07:44:08.965523Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.956913Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAIAAACRXR/mAAACSUlEQVR4nO2YvWuUQRCHfzP7lbuTBBIMSQQ1prSxjZ+IjRgV7EWwUFDEP8GACFokgoKVxE4LUcGgFhaKiliJhSKxExuJhESMxLt7d3csLoYoMbAg70XYh+mGhYfdYXZ2SSnA/D1se7LaYC2StVLIWilkrRSyVgratttgRdbqbmWtBLJWClkrhayVQu7yKfw/WmwMWYIGDAKabZD6U4uIlfo+XQQCOcBiXT8BAKRtWsTs67HxzR8Zu9i1cVMIRfCNyQsnmcGWRWIbtIh5fiYOnz2+99ylak/vUrqrb8PNMyOsozIsKM+MDWCJ6EfccerYyJUb1Z5eiSEURfSFb9aHth84eu1BteK0REu0ytv934Y2AKIojf1XJwBIDMRKsQLAML6xsGV4ZHDbnqmnj2sDOqIoZ7e0AUAQYGHmS61vgIh/S9sKgF2nL898GG405nWFpJTyX+zyEVBar5Ankhi6N2+t1jrDwrwqwail1Sp5wcpNoHWmn57f9bPTzoCkpE6xqBUFbAyA2Gyyc7+kRIInVlO3x/2sr/QbKbe2KEZ5dnD3viev2TkJQYIHACI27v3E6Nc3rzp7tPgCZV1VbAAj0lHRcy/fvTi08/OjO6QUW8fWsbFT10ffjp13jnXwpXUHA9DD1ielBlVU8KE+h8ETh13vekGIsfnx/i3bzaJjmz4pCfDBdHB1yE7fmxQCLOBQ69MivqSTW8ayq5qAGNGo17o1GWpZx1CAV1legtYS3oPQCtWm4XWtjoF5lk8ga6WQtVLIWilkrRR+AlNGwPA/T7WlAAAAAElFTkSuQmCC\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td></tr></table><table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAIAAACRXR/mAAACLklEQVR4nO2Yv2sUQRTHv29mdu727rIJ3qm54hSbKIedkELEzioSECuxsAj+AYK1hf9CKjsrwcZC/Q+CwgkRRBG1EJWIqDF44GX39sd7FodyJCoMyO4V82FgmX2v+PB2ePsY0hoI/r5sNVETYBbxWi54LRe8lgteywVjqzb4I7NaLa/lgNdywWu54LVc8F3eBa+1F9IUgACCgBn5dKwaLSJVCI/SlAABrEJIASOrUktRkBRZO+xePrIey07DdN6k9zfi23MGClpQVKBFpMd5dqA1v7Y0iGxv8vJ4c/VsdOPe6MJ7edYgLShK1SIQS7HY7F06+WjO9nJJFIyANdkFfexKNLize/qTPA1IqX/cEvz3VVe1JMFy99qc7eUcG6orMposIAXGGrVz9XUW1GDKq5YinWbJiYOn+otrAIyqT9dRQQNIZNsCAaS8Lk+gnNEOl6yOco6NCvfnaJjJRU6ZZ4sbBt+GG8Pdl/ONvkhBpPdkqF+fu8SzJdzU9Z3h1oftuwBY0t82Ap5sFbQFAlC5DYKTdqhfb93sRMvdhZWCY0VGUCiqa2oMi+eD+GLLgCQtvZ0Ki+Dxq/Nn+g8PRysACMGYv3weP3gxvl6okSUFcPldXogUK958u3r00NWcfpgg+s5PPmabrZAaWokwqvknChMpAb/7egsWEsDU0KmFBWJAJikVTRDCBKoFBhowEGKRWE3FKxxsBJJNnvuZ1THQz/IOeC0XvJYLXssFr+XCT9s8ttJC9zX0AAAAAElFTkSuQmCC\"/></td><td style=\"padding:1px;\"><img width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show video frames side-by-side:\n",
    "media.show_images(video1, columns=6, border=True, height=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.967010Z",
     "iopub.status.busy": "2024-02-18T07:44:08.966865Z",
     "iopub.status.idle": "2024-02-18T07:44:08.976577Z",
     "shell.execute_reply": "2024-02-18T07:44:08.975888Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.966997Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>0</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAIAAACRXR/mAAAB1klEQVR4nO3XvWsUQRjH8d8zz7Nzl/VOgpyYBEkh/hXWB2IpWIi1IIKlrX+AnSHYpEplaaFlrrMyoqDGIukimOD7JXLk9mXmscgdRDiFKcxsMV+22V1YPgzDzCwxA9nfLxvnrWRoYokVUmKFlFghJVZIYmMLZtbU0UqsgBIrpMQKKbFCSqt8SI1lEbHNIICFGu9RxyYBgHCto8OSAAVsjrkLmUcVWwXpXVy6tfJofDjMe72dwbMXq+vdZRhmhQNFY9Gv/b3OwuLxjTp3sPfx6d3ru5tv80VW42L9VZOqurIkY9R7thaAK4snN6/sf3gjHaPio7CMqrK1RoStBdSVBdtW/8GqH6LF8o/P/tdLiE7OIDLMAIqf36xBBjUR5hUAyMynzHI8xnzKnGmzWTQdTH/KnGmidU0ywan3viqZhdnYuCwS8cWYDKtzpt3mdn6w/f7lvRudc6C64kh7k3wdDM73+wAoy4rvXz5vPN96eN/9GNl5A401WJBX164u37ntxiOZPzt8t/lp43XnEuVnjHofbcIDkqnffbwGQAHpond5zrkjeI1oAiCWqNWVyQmCvY6PTAPOOiKqqCoAk4051gL6Z009BqazfECJFVJihZRYISVWSL8BhjySfXc6Xh0AAAAASUVORK5CYII=\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>1</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>2</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>3</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>4</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>5</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>6</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>7</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>8</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>9</div><div><img width=\"50\" height=\"50\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the frames with their indices:\n",
    "media.show_images({f'{i}': image for i, image in enumerate(video1)}, width=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:08.977674Z",
     "iopub.status.busy": "2024-02-18T07:44:08.977245Z",
     "iopub.status.idle": "2024-02-18T07:44:09.353948Z",
     "shell.execute_reply": "2024-02-18T07:44:09.353315Z",
     "shell.execute_reply.started": "2024-02-18T07:44:08.977661Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape is (num_images, height, width, num_channels) = (10, 180, 320, 3).\n",
      "Framerate is 30.0 frames/s.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"160\" height=\"90\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/gif;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read, resize, and display a video:\n",
    "video2 = media.read_video(VIDEO)\n",
    "print(f'Shape is (num_images, height, width, num_channels) = {video2.shape}.')\n",
    "if metadata := video2.metadata:\n",
    "  print(f'Framerate is {metadata.fps} frames/s.')\n",
    "video3 = media.resize_video(video2, tuple(np.array(video2.shape[1:3]) // 2))\n",
    "media.show_video(video3, fps=5, codec='gif')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:09.355090Z",
     "iopub.status.busy": "2024-02-18T07:44:09.354676Z",
     "iopub.status.idle": "2024-02-18T07:44:09.494200Z",
     "shell.execute_reply": "2024-02-18T07:44:09.493545Z",
     "shell.execute_reply.started": "2024-02-18T07:44:09.355076Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"60\" height=\"60\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/gif;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Display a two-frame flipping video as a GIF:\n",
    "media.show_video([image3 + 0.5, (image3 + 0.5) * 0.8], fps=2, codec='gif')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:09.495263Z",
     "iopub.status.busy": "2024-02-18T07:44:09.494947Z",
     "iopub.status.idle": "2024-02-18T07:44:09.498176Z",
     "shell.execute_reply": "2024-02-18T07:44:09.497659Z",
     "shell.execute_reply.started": "2024-02-18T07:44:09.495247Z"
    }
   },
   "outputs": [],
   "source": [
    "def darken_image(image):\n",
    "  return media.to_float01(image) * 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:09.498983Z",
     "iopub.status.busy": "2024-02-18T07:44:09.498838Z",
     "iopub.status.idle": "2024-02-18T07:44:09.960752Z",
     "shell.execute_reply": "2024-02-18T07:44:09.960142Z",
     "shell.execute_reply.started": "2024-02-18T07:44:09.498971Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "num_images=10 shape=(180, 320) fps=30.0\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><video controls width=\"160\" height=\"90\" style=\"object-fit:cover;\" loop autoplay muted>\n",
       "      <source src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/>\n",
       "      This browser does not support the video tag.\n",
       "      </video></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Darken a video frame-by-frame:\n",
    "new_file = '/tmp/out.mp4'\n",
    "with media.VideoReader(VIDEO) as reader:\n",
    "  print(f'num_images={reader.num_images} shape={reader.shape} fps={reader.fps}')\n",
    "  with media.VideoWriter(\n",
    "      new_file, shape=reader.shape, fps=reader.fps / 5\n",
    "  ) as writer:\n",
    "    for image in reader:\n",
    "      writer.add_image(darken_image(image))\n",
    "\n",
    "media.show_video(media.read_video(new_file), height=90)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:09.961626Z",
     "iopub.status.busy": "2024-02-18T07:44:09.961430Z",
     "iopub.status.idle": "2024-02-18T07:44:10.253197Z",
     "shell.execute_reply": "2024-02-18T07:44:10.252577Z",
     "shell.execute_reply.started": "2024-02-18T07:44:09.961614Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>mirror loop</div><div><video controls width=\"160\" height=\"90\" style=\"object-fit:cover;\" loop autoplay muted>\n",
       "      <source src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/>\n",
       "      This browser does not support the video tag.\n",
       "      </video></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>roll</div><div><video controls width=\"90\" height=\"90\" style=\"object-fit:cover;\" loop autoplay muted>\n",
       "      <source src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/>\n",
       "      This browser does not support the video tag.\n",
       "      </video></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>fade</div><div><video controls width=\"90\" height=\"90\" style=\"object-fit:cover;\" loop autoplay muted>\n",
       "      <source src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/>\n",
       "      This browser does not support the video tag.\n",
       "      </video></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show multiple videos side-by-side.\n",
    "s = 90\n",
    "videos = {\n",
    "    'mirror loop': np.concatenate([video3, video3[::-1]], axis=0),\n",
    "    'roll': (np.roll(media.color_ramp((s, s)), i, axis=0) for i in range(s)),\n",
    "    'fade': (np.full((s, s), f) for f in np.linspace(0.0, 1.0, 50)),\n",
    "}\n",
    "media.show_videos(videos, fps=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.254141Z",
     "iopub.status.busy": "2024-02-18T07:44:10.253994Z",
     "iopub.status.idle": "2024-02-18T07:44:10.323193Z",
     "shell.execute_reply": "2024-02-18T07:44:10.322397Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.254128Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [],
   "source": [
    "# Write a video to a file:\n",
    "media.write_video('/tmp/video1.mp4', video1, fps=10, qp=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "## Conway's Game of Life\n",
    "\n",
    "Cellular automaton implemented on a periodic domain.\n",
    "See [Wikipedia](https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life).\n",
    "\n",
    "Show the first 16 generations starting from a random configuration:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.326222Z",
     "iopub.status.busy": "2024-02-18T07:44:10.325740Z",
     "iopub.status.idle": "2024-02-18T07:44:10.330018Z",
     "shell.execute_reply": "2024-02-18T07:44:10.329418Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.326208Z"
    }
   },
   "outputs": [],
   "source": [
    "def game_of_life(shape=(40, 60), seed=1):\n",
    "  grid = (np.random.default_rng(seed).random(shape) < 0.2).astype(np.int32)\n",
    "  neighbors = set(itertools.product((-1, 0, 1), repeat=2)) - {(0, 0)}\n",
    "  while True:\n",
    "    yield grid == 0\n",
    "    num_neighbors = np.add.reduce(\n",
    "        [np.roll(grid, yx, axis=(0, 1)) for yx in neighbors]\n",
    "    )\n",
    "    grid = (num_neighbors == 3) | (grid & (num_neighbors == 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.330987Z",
     "iopub.status.busy": "2024-02-18T07:44:10.330839Z",
     "iopub.status.idle": "2024-02-18T07:44:10.406231Z",
     "shell.execute_reply": "2024-02-18T07:44:10.405601Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.330975Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_videos\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"240\" height=\"160\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/gif;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "video = list(itertools.islice(game_of_life(), 16))\n",
    "video = [video[0]] * 8 + video + [video[-1]] * 8  # Pause first and last frames.\n",
    "media.show_video(video, height=160, fps=8, codec='gif', border=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Show the 100<sup>th</sup> generation starting from different random seeds:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.407402Z",
     "iopub.status.busy": "2024-02-18T07:44:10.407060Z",
     "iopub.status.idle": "2024-02-18T07:44:10.492954Z",
     "shell.execute_reply": "2024-02-18T07:44:10.492424Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.407388Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=0</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=1</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=2</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=3</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=4</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table><table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=5</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=6</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=7</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=8</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>seed=9</div><div><img width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = {\n",
    "    f'seed={seed}': next(itertools.islice(game_of_life(seed=seed), 100, None))\n",
    "    for seed in range(10)\n",
    "}\n",
    "media.show_images(images, border=True, columns=5, height=80)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "## Mandelbrot Set\n",
    "\n",
    "Visualize divergence of $\\|z_i\\|$ in the sequence\n",
    "$z_0 = 0,~z_{i+1} = z_{i}^2 + c$ over complex numbers $c$.\n",
    "See [Wikipedia](https://en.wikipedia.org/wiki/Mandelbrot_set)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.494205Z",
     "iopub.status.busy": "2024-02-18T07:44:10.493710Z",
     "iopub.status.idle": "2024-02-18T07:44:10.497883Z",
     "shell.execute_reply": "2024-02-18T07:44:10.497371Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.494189Z"
    }
   },
   "outputs": [],
   "source": [
    "def mandelbrot(shape, center_xy=(-0.75, -0.5), radius=1.25, max_iter=200):\n",
    "  yx = np.moveaxis(np.indices(shape), 0, -1)\n",
    "  yx = (yx + 0.5 - np.array(shape) / 2) / max(shape) * 2  # in [-1, 1]^2\n",
    "  c = np.dot(yx * radius + center_xy[::-1], (1j, 1))\n",
    "  count_iter = np.zeros(shape)\n",
    "  z = np.zeros_like(c)\n",
    "  for it in range(max_iter):\n",
    "    active = abs(z) < 4\n",
    "    count_iter[active] = it\n",
    "    z[active] = z[active] ** 2 + c[active]\n",
    "  return np.where(active, 0, count_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.498576Z",
     "iopub.status.busy": "2024-02-18T07:44:10.498446Z",
     "iopub.status.idle": "2024-02-18T07:44:10.553496Z",
     "shell.execute_reply": "2024-02-18T07:44:10.552901Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.498565Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><img width=\"300\" height=\"200\" style=\"image-rendering:auto; object-fit:cover;\" src=\"data:image/png;base64,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\"/></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "media.show_image(mandelbrot((200, 300)) ** 0.23, cmap='gnuplot2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "## Format conversions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.554374Z",
     "iopub.status.busy": "2024-02-18T07:44:10.554207Z",
     "iopub.status.idle": "2024-02-18T07:44:10.557994Z",
     "shell.execute_reply": "2024-02-18T07:44:10.557450Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.554349Z"
    }
   },
   "outputs": [],
   "source": [
    "def apply_conversions(image):\n",
    "  assert image.dtype == np.uint8\n",
    "  for dtype in ('uint8', 'uint16', 'uint32', 'uint64', 'float32', 'float64'):\n",
    "    a = media.to_type(image, dtype)\n",
    "    print(f'dtype={a.dtype!s:<8} mean={a.mean()}')\n",
    "    assert np.all(media.to_uint8(a) == image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.559257Z",
     "iopub.status.busy": "2024-02-18T07:44:10.558783Z",
     "iopub.status.idle": "2024-02-18T07:44:10.571508Z",
     "shell.execute_reply": "2024-02-18T07:44:10.570882Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.559237Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dtype=uint8    mean=121.61360677083333\n",
      "dtype=uint16   mean=31254.696940104168\n",
      "dtype=uint32   mean=2048339073.3636067\n",
      "dtype=uint64   mean=8.797549333263974e+18\n",
      "dtype=float32  mean=0.47691610455513\n",
      "dtype=float64  mean=0.4769161049836601\n"
     ]
    }
   ],
   "source": [
    "apply_conversions(image2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "## Image rate-distortion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.572321Z",
     "iopub.status.busy": "2024-02-18T07:44:10.572181Z",
     "iopub.status.idle": "2024-02-18T07:44:10.579823Z",
     "shell.execute_reply": "2024-02-18T07:44:10.579279Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.572308Z"
    }
   },
   "outputs": [],
   "source": [
    "def analyze_image_rate_distortion(image, fmt='jpeg'):\n",
    "  params = [10, 20, 40, 75, 90, 95, 100]\n",
    "  images = {}\n",
    "  num_bytes, psnrs = [], []\n",
    "\n",
    "  for param in params:\n",
    "    data = media.compress_image(image, fmt=fmt, quality=param)\n",
    "    num_bytes.append(len(data))\n",
    "    image_new = media.decompress_image(data)\n",
    "    images[f'quality={param}'] = image_new[30:60, 0:30]\n",
    "    rms_error = np.sqrt(np.mean(np.square(image_new - image)))\n",
    "    psnr = 20 * np.log10(255.0 / rms_error)\n",
    "    psnrs.append(psnr)\n",
    "\n",
    "  media.show_images(images, border=True, ylabel=fmt, height=120)\n",
    "\n",
    "  _, ax = plt.subplots(figsize=(10, 3.5))\n",
    "  ax.plot(num_bytes, psnrs, 'o-', label=f'{fmt} (by quality parameter)')\n",
    "  for x, y, param in zip(num_bytes, psnrs, params):\n",
    "    kwargs: Any = dict(textcoords='offset points', xytext=(0, 10), ha='center')\n",
    "    ax.annotate(f'{param}', (x, y), **kwargs)\n",
    "\n",
    "  ax.set_title('Image rate-distortion')\n",
    "  ax.set_xlabel('Obtained size (bytes)')\n",
    "  ax.set_ylabel('PSNR (dB)')\n",
    "  ax.legend()\n",
    "  ax.grid(True)\n",
    "  plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.580901Z",
     "iopub.status.busy": "2024-02-18T07:44:10.580446Z",
     "iopub.status.idle": "2024-02-18T07:44:10.748553Z",
     "shell.execute_reply": "2024-02-18T07:44:10.747934Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.580885Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"show_images\" style=\"border-spacing:0px;\"><tr><td style=\"padding:1px;\"><span style=\"writing-mode:vertical-lr; transform:rotate(180deg);\">jpeg</span></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=10</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=20</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=40</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=75</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=90</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=95</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td><td style=\"padding:1px;\"><div style=\"display:flex; align-items:left;\">\n",
       "      <div style=\"display:flex; flex-direction:column; align-items:center;\">\n",
       "      <div>quality=100</div><div><img width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/></div></div></div></td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABNgAAAH0CAYAAADv4JCWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n/H/qEkp3KYpJPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1000x350 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 620
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "analyze_image_rate_distortion(media.read_image(IMAGE))  # or try fmt='webp'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "lines_to_next_cell": 2
   },
   "source": [
    "## Video rate-distortion\n",
    "\n",
    "Note that the metadata in the video container may be a significant overhead\n",
    "for small videos; see https://superuser.com/questions/1617422/."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.749763Z",
     "iopub.status.busy": "2024-02-18T07:44:10.749408Z",
     "iopub.status.idle": "2024-02-18T07:44:10.754212Z",
     "shell.execute_reply": "2024-02-18T07:44:10.753687Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.749748Z"
    }
   },
   "outputs": [],
   "source": [
    "def analyze_video_rate_distortion(video, fps=30, codec='h264'):\n",
    "  _, ax = plt.subplots(figsize=(10, 3.5))\n",
    "\n",
    "  for encoded_format in ['yuv444p', 'yuv420p']:\n",
    "    bitrates, psnrs = [], []\n",
    "    for requested_mbps in [0.03, 0.1, 0.3, 1, 3, 10]:\n",
    "      bps = int(requested_mbps * 1.0e6)\n",
    "      data = media.compress_video(\n",
    "          video, encoded_format=encoded_format, codec=codec, bps=bps, fps=fps\n",
    "      )\n",
    "      video_new = media.decompress_video(data)\n",
    "      rms_error = np.sqrt(np.mean(np.square(video_new - video)))\n",
    "      psnr = 20 * np.log10(255.0 / rms_error)\n",
    "      obtained_bps = len(data) * 8 / (len(video) / fps)\n",
    "      bitrates.append(obtained_bps)\n",
    "      psnrs.append(psnr)\n",
    "    ax.semilogx(bitrates, psnrs, 'o-', label=f'{codec}_{encoded_format}')\n",
    "\n",
    "  ax.set_title('Video rate-distortion')\n",
    "  ax.set_xlabel('Obtained bitrate (bits/s)')\n",
    "  ax.set_ylabel('PSNR (dB)')\n",
    "  ax.legend()\n",
    "  ax.grid(True)\n",
    "  plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-18T07:44:10.755298Z",
     "iopub.status.busy": "2024-02-18T07:44:10.754833Z",
     "iopub.status.idle": "2024-02-18T07:44:13.209126Z",
     "shell.execute_reply": "2024-02-18T07:44:13.208601Z",
     "shell.execute_reply.started": "2024-02-18T07:44:10.755283Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABM4AAAH3CAYAAABDxBOXAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nqYL/HxU2F9mXopeaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1000x350 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 251,
       "width": 615
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "analyze_video_rate_distortion(video3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## End\n",
    "<!--\n",
    "Local Variables:\n",
    "fill-column: 80\n",
    "End:\n",
    "-->"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "last_runtime": {
    "build_target": "//learning/grp/tools/ml_python:ml_notebook",
    "kind": "private"
   },
   "name": "mediapy_examples.ipynb",
   "provenance": [
    {
     "file_id": "1qeDaZtcpaUuJI1QyCEUAAk5zj8tZ7G1H",
     "timestamp": 1615056117619
    }
   ],
   "toc_visible": true
  },
  "jupytext": {
   "formats": "ipynb,py:percent",
   "notebook_metadata_filter": "-all"
  },
  "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": 0
}