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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from PIL import Image\n",
    "import torch\n",
    "from torch import nn\n",
    "\n",
    "from importlib.util import find_spec\n",
    "if find_spec(\"text_recognizer\") is None:\n",
    "    import sys\n",
    "    sys.path.append('..')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from text_recognizer.datasets import IamLinesDataset, AddTokens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "transform = [{\"type\": \"ToTensor\", \"args\": None}, \n",
    "             {\"type\": \"ApplyContrast\", \"args\": {\"low\": 0.0, \"high\": 0.15}},\n",
    "             #{\"type\": \"RandomAffine\", \"args\": {\"degrees\": [-0.25, 0.25], \"scale\": [0.98, 1.0]}}\n",
    "            ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IAM Lines Dataset\n",
      "Number classes: 54\n",
      "Mapping: {0: '0', 1: '1', 2: '2', 3: '3', 4: '4', 5: '5', 6: '6', 7: '7', 8: '8', 9: '9', 10: 'a', 11: 'b', 12: 'c', 13: 'd', 14: 'e', 15: 'f', 16: 'g', 17: 'h', 18: 'i', 19: 'j', 20: 'k', 21: 'l', 22: 'm', 23: 'n', 24: 'o', 25: 'p', 26: 'q', 27: 'r', 28: 's', 29: 't', 30: 'u', 31: 'v', 32: 'w', 33: 'x', 34: 'y', 35: 'z', 36: ' ', 37: '!', 38: '\"', 39: '#', 40: '&', 41: \"'\", 42: '(', 43: ')', 44: '*', 45: '+', 46: ',', 47: '-', 48: '.', 49: '/', 50: ':', 51: ';', 52: '?', 53: '_'}\n",
      "Data: (1861, 28, 952)\n",
      "Targets: (1861, 97)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "dataset = IamLinesDataset(train=False, pad_token=\"_\", transform=transform, lower=True)\n",
    "dataset.load_or_generate_data()\n",
    "print(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(28, 952)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset.input_shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(97, 54)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset.output_shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convert_y_label_to_string(y, dataset=dataset):\n",
    "    return ''.join([dataset.mapper(int(i)) for i in y])\n",
    "\n",
    "# convert_y_label_to_string(dataset.targets[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "but since starting salaries would depend on grade a______________________________________________\n",
      "or b in the finals next may, and since mating____________________________________________________\n",
      "prospects would depend upon salaries, scholarship for____________________________________________\n",
      "these fine young people was closely geared to____________________________________________________\n",
      "economic and biological ends which, essentially,_________________________________________________\n",
      "were really means. so, seeing them revolve in____________________________________________________\n",
      "circles, harry had the feeling that moke (or what________________________________________________\n",
      "moke consciously or unconsciously symbolised, any-_______________________________________________\n",
      "way in harry's mind) had these splendid young____________________________________________________\n",
      "people by the short hairs, and was diverting them ...____________________________________________\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ms5mhoaFJfzUvKCjAarXS0tJCRUUFNpuNuLg4mpubcblceDyeGR1bKcVDDz2Ew+Ggo6OD8vJyrly5cjOnMa3w8HC2bNnCG2+8Mef7zs3NZfPmzSQmJlJZWckf//hH2tvb5/w4d7qenh5GRkauGRI0PDxMSUnJHXHNDQYD99xzD+fPnyc8PJzm5mY6Ojrm5dhpaWmsXr2aTZs2kZOTg9lspqioiKysLFwuF319fRgMBjIyMti7d68kbaZgsVhYunQpu3bt4vDhwwsdzox1dHSglMJsNi90KEIIIYQQQnxo3VTSJiUlBYPBQGNjI2NjY4Hl2dnZbNq0CYAzZ85QUlJCXFwc69evx+1209DQQG9vLykpKezYsYPBwUEWLVrEoUOH6OnpITw8HIfDQXd3Nz09PcTFxREWFsbg4CAulwulFMXFxTgcDsLDw4mOjqa9vX3OkzZxcXGsWbOG5cuXB5I2NpuNxMRELBYLTU1NNDU13dS+rVYrn/70pzEajXR0dHD58mVOnz4946SVmLmuri601oHeKeNqa2vp6+tjZGRkgSKbH0ajkfj4eGpra6mrqyMhIYHBwcFJv7O30tjYGG63G4vFQkREBP/+7/9OXV0dQ0NDjIyMEBERwZIlS6itreXy5cvzFteHzZIlS9iwYQMRERGUlJSgtV7okGZkPFEojeqFEEIIIYS4ebNO2oSGhhIVFXVNP5D4+HjWrFlDYWEhPT09NDY2kpCQQFFRETExMZw+fZr6+nosFgt5eXnYbDYSEhJobW3F4XBgt9vJyMhg0aJFnD59GqUUUVFRDAwM0NzcTGhoKMnJydx9991UVlZis9lob28PDLOYKxaLhZSUFHJzcwOVQmlpaaSnpxMZGcnQ0BD9/f14vV6Sk5MJCgrC6XTS0dExKZakpCS01nR1dQUqCIKCgigsLCQvL4/Ozk4uX77M+fPnr9tzRXxw4xVc4eHhBAcHMzIyQkpKCmNjY0RGRjIwMMDAwMBCh3nLGI1GoqKiAj1senp65rXxck9PD93d3QwNDXH06FHefPNNXC4XWmuCgoLIzMwkPT2dY8eO0dPT86FJRsynqKgoCgoKyM3NpaSkhCtXrnxorlN1dTWhoaGMjIwEKm6MRuMd0/xbCCGEEEKIuTDrpE18fDxBQUEMDAzQ19eHUorw8HDWrFlDcnIySilGR0exWq1s2rSJoqIiXnzxRc6fP8/o6CiFhYWsXbuWc+fOsXHjRurq6sjMzCQ5OZnVq1eTmZlJUFAQcXFx1NXVcfLkSbq6urDZbGzbto2EhASampqIjIzkz3/+M5WVlXN6QeLj40lJScHr9XLw4EGioqJYt24d8fHxVFVV0dDQgMViIT8/ny1bthATE8Mbb7zBsWPHGBoaQimFzWajsLAQrTWlpaU0NjbidruJjY3lkUceCQwbKC0tpby8HJPJdFNVBkopwsLCCA4ODlSV3E4MBgMWiyXwoHYrqomMRiNKqcC5G41GzGYzJpMJk8mEUgqDwUBsbCxaa9atW0dvby8Gg4HOzs5AX5sPGltISAhGoxGv18vIyMi0+zMajURERGA2m/F6vYyOjjI8PDznMydprRkZGcHlcpGVlUV9fT39/f1zeozpjI6OYjQaCQ8P5yc/+Qlnz54NfBYbG0twcDAhISEcPXp0yns3JCQk0ItnaGgIt9s9T9HfHrKzs1m+fDlaa15++WX6+vpmvK3BYCA4OJioqCgMBkMgaTdf/XD6+voC8ZrNZpKSkvB6vdTV1d12/60SQgghhBDidjXrpE1KSgpDQ0M0NzfT3d1NSEgIxcXFLF++nN///vd85jOfISUlhZCQEHJzc/m7v/s7Lly4gNYaq9VKRkYGRUVFLF++nJKSEnJycgKJGLfbTXx8PJs3b+Zf/uVfOHbsWOAhLScnh82bN1NRUcGlS5d4+umnb0kPjMLCQpYvX86lS5fo7u7m0UcfZWRkhN/+9re0t7eTmZnJ3XffTW9vL0ePHmXnzp2BvyADRERE8IUvfIHg4GCCgoKIjY3lxIkTtLW1sWfPHpYsWcKxY8doa2ujsrISrTWpqalUVVUFYhhPNGitp33ACg0N5Z577iEzM5Pnn39+Vg/kBoMBpRRKKbxe7zXHMRh8s8FPdfyJiZKpREdHk5+fj81m4+DBg7S3t8/5A2NsbGwg+eHxeLBarWRmZpKSkkJ6ejomk4nm5mbWrVvHo48+yvHjx2lpaWHjxo0kJiZy6dIlvv/979PZ2XnTMSilKCgoICYmhp6eHi5evEhra+uk6zN+rYOCgrDb7ezcuZP09HR6e3uprq6mtLT0hs1ax++Lqb6zq42NjVFZWYnD4Qh8n/MpLS2NzMxMjEbjpPsbfL/PWVlZnD17lurq6utub7FYuOuuu1i7di319fUcOXLkpocl3gpKKYBbloBQSrFlyxb6+vp4/fXXZz0MNDw8nBUrVvD5z3+ekJAQ9u7dy4EDB+Z9uJJSCrvdzq5duzhy5Aj19fWStBFCCCGEEGKGZp20GZ+m12QyERcXx7333suGDRv4zne+Q1NTE1euXCExMZGIiAi++c1vTppeODs7mxUrVmCz2QgLCyMsLIx9+/bx7LPP4nA4ePDBB6msrOSpp57izJkzk47rcrkoLS3FarVSWlo6qTLFbDbjcDgwm83U1tbe9MWw2+0kJSXh8XiorKzka1/7Gq2trTz11FMMDg7y4IMPsm3bNrTW2O12CgoKAlVE4716/uIv/oLExEReeuklHnnkEVwuF1FRUeTk5BAVFUVtbS2LFy/mtddew2AwUFxcTHJyMk899VQgjrVr17J27Vra2trYu3fvdWONjIxk5cqV3HPPPXz3u9+ddsiBzWajv78/UMlhNpvZvXs3WVlZJCUlsX//fo4cOUJLS0tgm/vvvx+DwcC5c+eoq6u7Zp9ZWVl0d3fT2tp63WMmJSVRWFjI9u3bGRwcJCsri+eee27OHxgfeughCgoKsFgsDA0NMTAwQG9vb6Cn0sjICCtWrOArX/kK3/ve93C5XNx3331YrVZMJhN2u53o6OgPlLTZunUrH//4x7Hb7URERGAymfjSl740KVGRmZlJUVER27dvJycnh0uXLvHcc8/hdrtZt24du3fvnjZpYzQaWb9+Pdu2bcNut/Pee+9x9OjRSd/Z9RgMBjZu3Mhbb7017z18EhMTCQ4O5tChQ5Ou73hiLTIykldffRXwVbi1tbUFElFJSUns3LmTqKgourq62LlzJ06n87ZJ2jgcDpKTkwkPD6exsfGWVI9s3boVi8XCqVOnOHjw4Ky2tdvtFBUVsW3btkDC9OGHH+bcuXPznrRZtmwZ9957L4sWLeLVV1+VhI0QQgghhBCzMOukjdPpJDY2lj179rB9+3YsFgtPP/00TqcTj8fDb37zG1555RW01tdUwpw5c4YLFy7w7LPPsmTJEpxOJ83NzQwNDdHe3o7T6WTv3r04nc5rjltVVcULL7zAY489xje+8Q16e3sZHR2lv78fl8tFd3c3paWlH+jhKTs7m9TUVPLy8sjLy6OkpIRnnnmGwcFBHA4HWVlZJCQkcOTIEZxOJ2fPnqW5uZmIiAjy8vLYuHEjTzzxBFVVVXz1q18lPDyctrY2XC4XQ0NDLF26lMbGRgYHB2loaCAhIQGl1KTplx988EGKi4s5deoUhw4dmjLWxYsX88gjj3DkyBGam5tZtmwZ999/P2NjY5w8eZITJ06wefNm9uzZQ2pqKu+88w4HDhygv7+fXbt20dTUxKuvvsrOnTsJCwvDZrPR2dlJYmIif/3Xf43b7cZgMJCQkMDx48cnDW35q7/6K5KTkzl48CClpaWBioqf//zngXUKCgrYuHEjFy5cwGg04nQ6b0mj2RdffJFf//rXgcqf8R+3243X6yUuLo6goCCio6P55Cc/SX19PefPn+fIkSN0d3fT1NRETU3NB4ohKCiIY8eOcfnyZUwmE7t27eKLX/wiX/7yl3E4HDz22GNkZGQEhorV19fT0tLChg0bMBqN2O32KfsaxcXFsXr1anbt2kV5eTn79++nsLCQ7OxshoeHefPNNwPrPvjgg2zatCnQ5Lq1tZX29nYqKytxu91ERkayePFigoKCOHXq1JTnYzQayc7OZseOHbS1tXH48GEaGxtnfV3Gf0cTEhImLV+6dCnh4eGYzWYeeughNm3aRHh4OD/4wQ84duwYqampbN26lSVLllBXV8eWLVvYu3fvLZklblxISAgf+9jHAHjrrbemrOLLy8tj9erVxMXFBYYeDQwM8K1vfeum7++IiAjGxsauOeaePXs4fvw4Fy9enLT8U5/6FA0NDZSXlzM6OkpSUhJLly6ltLSUhoYGtNZs27aNVatWUVNTw8mTJ/n85z9PRUXFvM/QNd6IvrCwkBdeeAGn04nWGofDQXx8PAANDQ3SrFgIIYQQQogpzDppU1dXx9tvv01aWho9PT0cP36c2traQA+P4eHhKR8M3G43/f39DA4O0tvby/Dw8KQHnfFpgK/Xt8Lj8dDR0cHLL7/Mvn37AsND3G43brebsbEx+vr6PtBfcZ1OJyUlJTidTioqKjh79mygUW1PTw/Dw8MEBQURHh5OQkICSUlJDA4OBvqRhIaGMjo6SltbG1euXOHhhx8mNDSU3t5e6uvrqaqqoq6ujr6+PoaGhhgdHSUiIoKsrCxGR0eJiopi+/btnDlzZtoGxcnJyWRlZWEwGCgrK2Pnzp2sWrWK5cuX09HRgdlsZvPmzSQkJHD48GFWr15NfHw89957Lx6Ph7i4OE6cOMGWLVuIj4/n5MmT1NXV4XA4ePLJJxkdHeXEiRNs2LCBtWvXAnD27FkMBgOFhYUUFRVx8uRJcnNzWbFiBS6Xi23btvHee+9hNpsD/YmioqLo7+/nnXfeYWRk5JY8MN6oEXVbWxt//vOfAzOS1dfX09PTw9jYGGNjYzfsPzMuLy+PysrK657D+D7b2trQWnPhwgUefvhhlFLs2LEDq9XK4cOH6e3tZdeuXTidTnp7e7nvvvuoqanhxIkTHD9+/Jr9hoaGUlhYSHFxMSUlJRw9epTQ0FBSU1Npb2+nu7sb8A0/ycrKYs+ePRw4cICqqiqioqJYsWIFw8PD1NTUYLVa+fjHP47VaqWqqoqEhATS0tJISEigpKSE5uZmRkZGCA4OZtGiRXz2s58NJOaCgm5qkjmcTift7e2sXr2abdu28e677wL/UaWSkJBAb28v//Zv/8bdd99NeHg4drudwsJCHnjgAdxuNyMjI/zyl7/k9OnTuFyuwExURqORlpYWYmJiyMvLo6+vj8bGxhtWHl1PVFQU+fn5PPjggzz33HN4PB6ysrJYvHgxZrOZ8vJyqqqqyMjIYM+ePbhcLgYHBzGbzYyMjHDgwIFr7qHxPl9hYWG89dZbuN3uwOx4drsdl8uF2+1m9+7d2Gw2nE4np06d4vTp04Av6WkymaioqAhUFwUHB3P33Xezbt06rFYrISEhJCcns3LlShobGykvLyc6OhqbzcbGjRvJyMigsrKSJ598kuHhYd555x16e3sBX5IqLi6OnJwcUlNT2bdvH01NTTfdV8lsNmO1WomKiprUZ2zFihUkJiZSVlZGSUkJdrudTZs2sXLlykAj+v3793+opjIXQgghhBBiPs36aWxoaIiTJ09SWVnJyMjITTUC9nq9122oOV4hMRWPx0NDQwMNDQ2zPuZMtLe38/777xMcHExraysdHR2Bz8bGxigpKQEIVPgMDw/T29vLwMAAQ0NDOJ1Ouru7cTqdNDQ0YDKZAtU/AwMDvPXWW4yNjWEwGBgbG6O1tZXLly9jNBpxu90EBwcTGhrKmTNnqK2tnfIBKjY2lsTExEByxmaz0djYyF133UVWVhYWi4Xa2trAsIqUlBSsVitpaWnExsYyMjLCxo0bGRsb4/Tp01RWVjIwMEBCQgIbNmzg4sWLpKSk0N/fz9KlSwMzZ/X391NYWEhaWhq1tbU0NjbS3t5Oe3s7mzZt4nOf+xxNTU0YjUZiYmIwGo2B63E1g8FAREQE+fn5VFZW0traekuazI6OjtLQ0EB3dzcejyfw0DpTRqORu+66a1LfoquN93fq7+/H4XBgsVgCs/yEh4cTFhZGUFBQoAFxZmYmtbW1XLx4kRMnTlBSUnLdYX0pKSmkpaVhsVhwuVzk5+cTFxeHy+Xi/PnzgW2MRiPFxcW43W7a29sD1UZXrlyhrKyMwcFBHnjgAdatW8fAwAAej4fY2FiUUkRHRxMTE8Nbb71FR0cHixcvpri4mKVLl/L+++9z9uzZQHJotlwuFxcvXiQ2Npb8/HyCgoKoqamhpaWFgwcPYrVaA5VnxcXFtLe3AxAWFsbQ0BAHDhygsbGRS5cuYbVaSU1NJTk5meTkZEwmE4cPH2bjxo2kpKTQ2NhIRUUFjY2N9Pf3X9NDZyomk4m0tDR27NhBXV0dbreb4uJiEhMT8Xq9OJ1OhoaGcDgc3HvvvSxbtozS0lKqqqoCybqysrLAsK7xpOWyZcsCQ77sdjvx8fGkpqYSHh6Oy+ViZGSErVu3YjKZ6OzsDCTZWltb6e7uJj09PfDfoOHh4UBF1q5du6iqqsJms5GcnByoYjt58iQulwu73c769evJz88nMjIy8Dt68uRJGhsbsdvtgYrCRYsWERkZSWJiIkePHp1yqOONBAcHk5GRQUZGRqCyC3w9rXJzc7FYLJw8eZKkpCTWrFlDXFwc/f39BAcHEx8fT0RExE0dVwghhBBCiDvBTf0Jvamp6bbpLTGXBgYGpk1CnTt3jqamJuLj4+nv7w88rE9sCHvs2LHA68HBQTo7OwPVOu+//z5WqzUwHKKzs5Nz587R2toaaFpcUlLCxYsXA9ONX4/X6w0Mp8jLy+PMmTPs37+fjIwMli5dSmdnJ++//z6HDx+mr6+P9vZ2BgcHsdlsWK1Wzp8/j9Vq5ciRIxw9epTOzk6MRmMgyTI6OkpwcDAXLlwgJiYm8HA/MDCAyWSisbGRvr4+ysrKArOCLVq0iC1btuD1eunt7aW/v5/Ozs4pewyZzWYSEhLYvHlzYBjPrTI2NnZTiQeTyURCQgIFBQUcPnx4yqRSb28vIyMjREREBPqcvP322wBUVlaydOnSQDWV1WolKyuL1tZW3nzzTU6dOkVPTw8mk4mwsDDMZjMej4fR0VEcDgdRUVGB6pesrCxMJhOnTp3C7XYHPjcYDGzbto3m5mZsNhuhoaH09PRw9uzZQD+iHTt2EBsbS1VVFUajkejo6MD3eN9999HS0kJLSwu5ubls376drq4uXn/9daqqqm562M/Y2BhVVVUMDw+zZcsWUlNT6e7u5tKlS1y6dAmDwYDb7WbZsmW43W7q6+vp6+ujq6uL+vp6amtrGRoaIicnh8jISMLDw0lNTSU7O5uYmBi8Xi9ZWVkkJycTGxtLbGwsTU1NDAwMzDhpExYWRnp6Ovn5+fzmN79h1apVZGZmBuIsKyujtbWVxYsXU1BQgNfrpb+/n6amJqqqqgJJSqvVitlsJjExkVWrVpGbm0tpaSldXV0sW7aMRYsWYbPZAtVeFouFrVu38qMf/SjQKDszM5PBwUEOHDhAWFhYIGEEBIb4rVq1irKyMuLi4oiIiODixYu8++67XLp0CfBVDYWGhk5KItXW1tLd3U12djZWq5XExETi4uIICwsLVAZ+kNndYmJiWL58Oenp6ezbty+wPC4ujtTUVEJCQggNDWXHjh3ExMRQXV1NRUUFDoeDsLAwurq6buq4QgghhBBC3AlubtzDHWpgYICBgYEZNzuur6+f9F5rTU9Pz6T+DeNDLVJTU1m/fj1PP/30DR9iampqMBqN9Pf309jYGEgQ/OpXv8JgMNDS0jJpaNWZM2eIiYkhOjoag8HAj370o8A5aK0xmUyEhITg8Xh4/vnnsVgsvP3223g8Hrq7u3E4HBiNRjweD3/4wx84cuQI5eXlk6qlfvrTn/LGG2+QkZFBQkICjY2NNDY2Ttlc12QyYbPZ6Ovro6Ki4pZMB/5BjQ9XG3+AvzppYzKZCA0NRWtNTEwMmZmZxMbGUl1dHRgK9N5775Gens6KFSuwWCyBpN/4DGIGgwG73Y7VasVisRAZGcnAwAAdHR309PTg8XhYsWIFMTExXLhwgZGREdLT0wOJjvFplcPDw1m+fDk9PT3s27ePs2fPTkr8eTweWltbqaio4PDhw1y4cCHwWX5+PkVFRQwODgaqgsrLy2lubv7A1U8jIyNUV1dPOUOUyWQCfAnNtrY2+vv7qa6uJj8/ny9+8Ysopejv7+fChQuUlJTQ0dHB0NAQGzZsQCnFD3/4Q5544glycnJYtGgRwcHBJCUlTeqvNJ2oqCjsdjvga5i7YsUKfvGLX3Do0KFApZ3BYGBgYICamhqioqIoKysL/P6kpKRgMpkIDw/HZrOxZcsWlixZEphOPiEhgezsbJqbm3n33XepqKjA6/VSVFREUFAQnZ2dgcqomJgY7rnnHg4dOoTL5cLj8UxKmGmtaWlp4WMf+xhnz57l5ZdfpqysbNL3XFtby+9+9zsAioqKiImJIT8/n4KCAuLj42lubqahoYETJ05QUVHBkiVLKC8vp76+/qZmdlNKkZOTQ3JyMi6Xa9L3HBYWhtFoJCMjg8TERPr7+/n+97+P0+kkPj4eo9FIX1/fLe1VJIQQQgghxIedmk0PGKWUTPtxC8TFxfH4449jMBh45plnbrqvxI3s2rWLxx9/nJ6ensBwpPGePOPVDeXl5be06uXDwmKxkJ6ezq5du/je9753zeehoaGsXr2aJ598koGBAdra2jh16hQlJSXTVqGZzeZAn5rxKoP29nba2toCia6JfVliYmLIyckhNzeXlpYWXC4X7e3tgR5L4w/aSinMZjPt7e0fqOFzSEgImZmZfPnLX6a2tpZnnnnmA82s9UHiSEpKwmg04nK56OjoCCT2goKCiIqKCiRV0tLSiIyMDFQyfeUrX+ETn/jEjI7jcDhYs2ZNoL/Q7373O1paWq6bwMjMzOTv//7vSUlJYXh4mPb2djo6Oqiurg40JX/44YfZuHEjoaGhjI2NcfnyZX72s59RU1MTmL3LZDKRmZnJCy+8EKiqqqmpoaSkhGPHjnH27FnS09Ox2WxUVlZeU3WXmJhIa2vrtInOyMhIcnNzWbt2LdHR0TQ3N3P06FEuX758wz5Qs+FwOHj44Yfp7e3l7bffnjSkdHwGq/j4+ECiaDyZHB8fT3p6OoODg5OanAshhBBCCHEHO621Xn31QknaLDCbzcZdd93Fpz71Kf7yL//yllachIWFkZSURHZ2NmNjY1y8eJHm5ubAQ/74X/wFpKamkpGRQU1NzZSVVUopjEZj4Jp5vd4ZXT+lFAaDIfB+fJuprr9SCqXUNeveKmazmTVr1vA3f/M3fOlLX5o0u9l8G58VbCbrgS+Ztnz5choaGmhqaprV96G1vmG1SVBQEFarFY/Hw8DAwKQZy7TW2Gw2EhMTsdvt1NXV0dDQcN37QilFUlISDoeD3t5eOjs7A43Ux9ed6blPd17jPxNjnEtxcXHExcXR09MTGIo30fh9fr1jX31PCyGEEEIIcYe7btJGhkctsPT0dAoKCnjttddu+RChwcFBampqAtPujo6O3pLmvx8Fg4ODNDU1TTvV9Y0aZ0+33Wy+6/lOpo1PxX306NE5rcq4GTM97/H1xis33G73rLad6ffhdrtxuVxTficul4v+/n6MRiNjY2NT7ldrTXNzM21tbXi9XjwezzX7+6Df+XzcNx0dHdf09ZpouiSYJGuEEEIIIYS4MUnaLKAlS5aQlZWF1+u97pTPc01rHZjqWkxvfEr6j2JSKygoiNDQUIBrZtOKiYmhuLgYm83Gj3/840AT7Q8LrfUtmVp+oukSEV6vd8bDGz0ez23Zy2k2PgrnIIQQQgghxO3McONVxK0QGhrKypUriY2N5dKlS5MaB4uFNz6t+0fR+PTSEysdQkJCyMjIYNOmTeTn53PixAkqKyslwSeEEEIIIYQQC0gqbRZIeno6S5cupaenZ16qbIQAX5VNUlIS27Zto7S0FKvVSmhoKElJSaxatYqsrCw6Ojp4+eWXb2o2ISGEEEIIIYQQc0eSNgvAYDBw//33MzQ0xJkzZ6TKRsybqKgokpOTSUpKYuvWrXi9XvLy8sjJycHlcnHo0CFeeeWVhQ5TCCGEEEIIIQSStFkQGzZswG638/vf/16qbMS86ujo4NSpU1gsFlauXInJZKK6upr9+/dTXV1Nd3f3QocohBBCCCGEEMJPpvxeAE899RSvv/4658+fl4dkMe+UUgQFBWE0GgECsxfNdMpyIYQQQgghhBBzTqb8XmhBQUGsXbuW7u5uqqqqrpm5R4j5ILOICSGEEEIIIcSHg8weNY+MRiO5ubkcO3aM7u5umSpXCCGEEEIIIYQQU5KkzTwLCQnh3LlzDA0NLXQoQgghhBBCCCGEuI1J0mYeeb1erly5QldXl0ynLIQQQgghhBBCiGlJI2IhhBBCCCGEEEKIhTUnjYg7gLq5iUcIIYQQQgghhBBCAGnXWzirShshhBBCCCGEEEIIMT+kp40QQgghhBBCCCHEbUiSNkIIIYQQQgghhBC3IUnaCCGEEEIIIYQQQtyGJGkjhBBCCCGEEEIIcRuSpI0QQgghhBBCCCHEbUiSNkIIIYQQQgghhBC3IUnaCCGEEEIIIYQQQtyGJGkjhBBCCCGEEEIIcRuSpI0QQgghhBBCCCHEbej/B0YXxpCKGMeIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(190, 200):\n",
    "    plt.figure(figsize=(20, 20))\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    data, target = dataset[i]\n",
    "    target = [x - 26 if x > 35 else x for x in target]\n",
    "    sentence = convert_y_label_to_string(target, dataset) \n",
    "    print(sentence)\n",
    "    plt.title(sentence)\n",
    "    plt.imshow(data.squeeze(0).numpy(), cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from text_recognizer.networks.util import sliding_window"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "data1 = torch.stack((data, data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([2, 1, 28, 952])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "patches = sliding_window(data.unsqueeze(0), (28, 32), (1, 28))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "patches = sliding_window(data1, (28, 32), (1, 28))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([2, 33, 1, 28, 32])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "patches.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "patches = patches[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from einops import rearrange"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = rearrange(patches, \"b t c h w -> (b t) c h w\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "patches = rearrange(p, \"(b t) c h w -> b c h (t w)\", b=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([2, 1, 28, 1056])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "patches.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([66, 1, 28, 32])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 28, 952])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "p=7\n",
    "x = rearrange(data.unsqueeze(0), 'b c (h p1) (w p2) -> b (h w) (p1 p2 c)', p1 = 28, p2 = p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 136, 196])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "patches = rearrange(x, 'b t (h w) -> b t h w', h = 28, w = p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "patches = patches.squeeze(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20, 20))\n",
    "for i in range(12):\n",
    "    ax = fig.add_subplot(1, 12, i + 1)\n",
    "    ax.imshow(patches[i].squeeze(0), cmap='gray')"
   ]
  },
  {
   "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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}