numbers.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "bdc5b775-58f3-4d86-af9e-42b9355c29fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "from prg import *\n",
    "import torch\n",
    "\n",
    "key = b\"E\" * 64\n",
    "seed = b\"seed\"\n",
    "\n",
    "unif = Uniform(Prg(key, seed))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3edbed95-5ab1-4b2c-b9b2-d0d50940c284",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.04893053, 0.61095339, 0.6182906 , ..., 0.03229749, 0.72532779,\n",
       "        0.360928  ],\n",
       "       [0.44544494, 0.33032763, 0.57942772, ..., 0.9683938 , 0.29701197,\n",
       "        0.75574487],\n",
       "       [0.71156085, 0.16219282, 0.81912053, ..., 0.69166398, 0.63031292,\n",
       "        0.83505577],\n",
       "       ...,\n",
       "       [0.05173707, 0.5832004 , 0.60489088, ..., 0.78924876, 0.82043129,\n",
       "        0.99050838],\n",
       "       [0.2463519 , 0.23470563, 0.33687091, ..., 0.41848737, 0.49821877,\n",
       "        0.99577284],\n",
       "       [0.24917561, 0.44609624, 0.07257855, ..., 0.31462276, 0.15476876,\n",
       "        0.00231516]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = unif.generate_float32((256,256))\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6990ab0c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([6578., 6632., 6563., 6562., 6496., 6481., 6590., 6543., 6546.,\n",
       "        6545.]),\n",
       " array([1.37090683e-05, 1.00006098e-01, 1.99998486e-01, 2.99990875e-01,\n",
       "        3.99983263e-01, 4.99975652e-01, 5.99968040e-01, 6.99960428e-01,\n",
       "        7.99952817e-01, 8.99945205e-01, 9.99937594e-01]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 3,
     "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": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "plt.hist(x.flatten())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "abb61442-4422-49f1-9e54-e65b82ead290",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = torch.distributions.Normal(0, 1).icdf(torch.tensor(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6e162510",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([   30.,   276.,  2104.,  8374., 17492., 19831., 12427.,  4137.,\n",
       "          794.,    71.]),\n",
       " array([-4.1939145 , -3.3908754 , -2.58783629, -1.78479719, -0.98175809,\n",
       "        -0.17871899,  0.62432011,  1.42735921,  2.23039831,  3.03343741,\n",
       "         3.83647651]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 5,
     "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": [
    "plt.hist(y.flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2e6b88f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([   30.,   276.,  2104.,  8374., 17492., 19831., 12427.,  4137.,\n",
       "          794.,    71.]),\n",
       " array([-4.19391441, -3.39087534, -2.58783627, -1.78479707, -0.981758  ,\n",
       "        -0.17871892,  0.62432015,  1.42735922,  2.23039842,  3.03343749,\n",
       "         3.83647656]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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L5ZIkdejQQQMGDNDIkSO1c+dO/f3vf9eYMWP0+OOPKyYmRpI0ZMgQ2e12paWl6eDBg1q+fLnmz5/v91bTuHHjtGHDBs2dO1eHDh1SVlaWdu/erTFjxgTg1wIAAOq6Goec3bt366677tJdd90lScrIyNBdd92ladOmKTQ0VPv27dPDDz+sX/ziF0pLS1OPHj30t7/9TQ6HwzrGkiVL1L59e/Xv318PPvig7rvvPr974ERERGjTpk06evSoevTooeeee07Tpk3zu5fOPffco6VLl+qNN95Q165d9de//lWrV69Wp06druf3AQAADHFd98mp67hPDnD1uE/Oz4P75AA/Laj3yQEAAAg2Qg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYKQah5y8vDw99NBDiomJkc1m0+rVq625CxcuaPLkyercubNuvfVWxcTEaPjw4Tp58qTfMVq3bi2bzea3zZo1y69m3759uv/++xUWFqbY2FjNnj37kl5Wrlyp9u3bKywsTJ07d9b69etruhwAAGCoGoecsrIyde3aVQsWLLhk7ttvv9WePXv0xz/+UXv27NG7776roqIiPfzww5fUzpgxQ6dOnbK2sWPHWnNer1dJSUlq1aqVCgoKNGfOHGVlZemNN96warZt26bBgwcrLS1Ne/fuVUpKilJSUnTgwIGaLgkAABioXk0fMHDgQA0cOPCycxEREXK73X5jr776qnr16qXi4mK1bNnSGg8PD1d0dPRlj7NkyRJVVFTo7bfflt1u15133qnCwkK9+OKLGjVqlCRp/vz5GjBggCZOnChJmjlzptxut1599VUtWrSopssCAACGqfVrckpLS2Wz2dSwYUO/8VmzZqlJkya66667NGfOHF28eNGay8/PV58+fWS3260xl8uloqIiffPNN1ZNYmKi3zFdLpfy8/Ov2Et5ebm8Xq/fBgAAzFTjMzk18f3332vy5MkaPHiwnE6nNf673/1O3bt3V+PGjbVt2zZlZmbq1KlTevHFFyVJHo9HcXFxfseKioqy5ho1aiSPx2ON/bDG4/FcsZ/s7GxNnz49UMsDAAA3sFoLORcuXNBvf/tb+Xw+LVy40G8uIyPD+rlLly6y2+165plnlJ2dLYfDUVstKTMz0++5vV6vYmNja+35AABA8NRKyKkOOP/4xz/0wQcf+J3FuZz4+HhdvHhRx44dU7t27RQdHa2SkhK/mur96ut4rlRzpet8JMnhcNRqiAKA69V6yrpgt1Bjx2YlB7sF4LICfk1OdcD57LPPtHnzZjVp0uQnH1NYWKiQkBBFRkZKkhISEpSXl6cLFy5YNW63W+3atVOjRo2smtzcXL/juN1uJSQkBHA1AACgrqrxmZzz58/r8OHD1v7Ro0dVWFioxo0bq3nz5vrNb36jPXv2aO3ataqsrLSukWncuLHsdrvy8/O1Y8cO9evXT+Hh4crPz9eECRP0xBNPWAFmyJAhmj59utLS0jR58mQdOHBA8+fP17x586znHTdunB544AHNnTtXycnJWrZsmXbv3u33MXMAAHDzsvl8Pl9NHrBlyxb169fvkvHU1FRlZWVdcsFwtQ8//FB9+/bVnj179K//+q86dOiQysvLFRcXp2HDhikjI8PvraR9+/YpPT1du3btUtOmTTV27FhNnjzZ75grV67U1KlTdezYMd1xxx2aPXu2Hnzwwatei9frVUREhEpLS3/yLTXgZlcX30bBz4O3q/Bzu9rX7xqHHJMQcoCrR8jBlRBy8HO72tdvvrsKAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxU45CTl5enhx56SDExMbLZbFq9erXfvM/n07Rp09S8eXPVr19fiYmJ+uyzz/xqzpw5o6FDh8rpdKphw4ZKS0vT+fPn/Wr27dun+++/X2FhYYqNjdXs2bMv6WXlypVq3769wsLC1LlzZ61fv76mywEAAIaqccgpKytT165dtWDBgsvOz549Wy+//LIWLVqkHTt26NZbb5XL5dL3339v1QwdOlQHDx6U2+3W2rVrlZeXp1GjRlnzXq9XSUlJatWqlQoKCjRnzhxlZWXpjTfesGq2bdumwYMHKy0tTXv37lVKSopSUlJ04MCBmi4JAAAYyObz+XzX/GCbTatWrVJKSoqkf57FiYmJ0XPPPaff//73kqTS0lJFRUUpJydHjz/+uD799FN17NhRu3btUs+ePSVJGzZs0IMPPqgTJ04oJiZGCxcu1B/+8Ad5PB7Z7XZJ0pQpU7R69WodOnRIkvTYY4+prKxMa9eutfrp3bu3unXrpkWLFl1V/16vVxERESotLZXT6bzWXwNwU2g9ZV2wW8AN6tis5GC3gJvM1b5+B/SanKNHj8rj8SgxMdEai4iIUHx8vPLz8yVJ+fn5atiwoRVwJCkxMVEhISHasWOHVdOnTx8r4EiSy+VSUVGRvvnmG6vmh89TXVP9PJdTXl4ur9frtwEAADMFNOR4PB5JUlRUlN94VFSUNefxeBQZGek3X69ePTVu3Niv5nLH+OFzXKmmev5ysrOzFRERYW2xsbE1XSIAAKgjbqpPV2VmZqq0tNTajh8/HuyWAABALQloyImOjpYklZSU+I2XlJRYc9HR0Tp9+rTf/MWLF3XmzBm/mssd44fPcaWa6vnLcTgccjqdfhsAADBTQENOXFycoqOjlZuba415vV7t2LFDCQkJkqSEhASdPXtWBQUFVs0HH3ygqqoqxcfHWzV5eXm6cOGCVeN2u9WuXTs1atTIqvnh81TXVD8PAAC4udU45Jw/f16FhYUqLCyU9M+LjQsLC1VcXCybzabx48frT3/6k9577z3t379fw4cPV0xMjPUJrA4dOmjAgAEaOXKkdu7cqb///e8aM2aMHn/8ccXExEiShgwZIrvdrrS0NB08eFDLly/X/PnzlZGRYfUxbtw4bdiwQXPnztWhQ4eUlZWl3bt3a8yYMdf/WwEAAHVevZo+YPfu3erXr5+1Xx08UlNTlZOTo0mTJqmsrEyjRo3S2bNndd9992nDhg0KCwuzHrNkyRKNGTNG/fv3V0hIiAYNGqSXX37Zmo+IiNCmTZuUnp6uHj16qGnTppo2bZrfvXTuueceLV26VFOnTtXzzz+vO+64Q6tXr1anTp2u6RcBAADMcl33yanruE8OcPW4Tw6uhPvk4OcWlPvkAAAA3CgIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxUL9gNADeb1lPWBbsFALgpcCYHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIwU8JDTunVr2Wy2S7b09HRJUt++fS+ZGz16tN8xiouLlZycrAYNGigyMlITJ07UxYsX/Wq2bNmi7t27y+FwqG3btsrJyQn0UgAAQB0W8O+u2rVrlyorK639AwcO6F/+5V/06KOPWmMjR47UjBkzrP0GDRpYP1dWVio5OVnR0dHatm2bTp06peHDh+uWW27Rv/3bv0mSjh49quTkZI0ePVpLlixRbm6unn76aTVv3lwulyvQSwIAAHVQwENOs2bN/PZnzZqlNm3a6IEHHrDGGjRooOjo6Ms+ftOmTfrkk0+0efNmRUVFqVu3bpo5c6YmT56srKws2e12LVq0SHFxcZo7d64kqUOHDvroo480b948Qg4AAJBUy9fkVFRU6C9/+Yueeuop2Ww2a3zJkiVq2rSpOnXqpMzMTH377bfWXH5+vjp37qyoqChrzOVyyev16uDBg1ZNYmKi33O5XC7l5+f/aD/l5eXyer1+GwAAMFPAz+T80OrVq3X27Fk9+eST1tiQIUPUqlUrxcTEaN++fZo8ebKKior07rvvSpI8Ho9fwJFk7Xs8nh+t8Xq9+u6771S/fv3L9pOdna3p06cHankAAOAGVqsh56233tLAgQMVExNjjY0aNcr6uXPnzmrevLn69++vI0eOqE2bNrXZjjIzM5WRkWHte71excbG1upzAgCA4Ki1kPOPf/xDmzdvts7QXEl8fLwk6fDhw2rTpo2io6O1c+dOv5qSkhJJsq7jiY6OtsZ+WON0Oq94FkeSHA6HHA5HjdcCAADqnlq7Jmfx4sWKjIxUcnLyj9YVFhZKkpo3by5JSkhI0P79+3X69Gmrxu12y+l0qmPHjlZNbm6u33HcbrcSEhICuAIAAFCX1UrIqaqq0uLFi5Wamqp69f7/yaIjR45o5syZKigo0LFjx/Tee+9p+PDh6tOnj7p06SJJSkpKUseOHTVs2DB9/PHH2rhxo6ZOnar09HTrLMzo0aP1+eefa9KkSTp06JBee+01rVixQhMmTKiN5QAAgDqoVkLO5s2bVVxcrKeeespv3G63a/PmzUpKSlL79u313HPPadCgQXr//fetmtDQUK1du1ahoaFKSEjQE088oeHDh/vdVycuLk7r1q2T2+1W165dNXfuXL355pt8fBwAAFhsPp/PF+wmgsXr9SoiIkKlpaVyOp3Bbgc3idZT1gW7BSCgjs368csSgEC72tdvvrsKAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABgp4CEnKytLNpvNb2vfvr01//333ys9PV1NmjTRbbfdpkGDBqmkpMTvGMXFxUpOTlaDBg0UGRmpiRMn6uLFi341W7ZsUffu3eVwONS2bVvl5OQEeikAAKAOq5UzOXfeeadOnTplbR999JE1N2HCBL3//vtauXKltm7dqpMnT+qRRx6x5isrK5WcnKyKigpt27ZN77zzjnJycjRt2jSr5ujRo0pOTla/fv1UWFio8ePH6+mnn9bGjRtrYzkAAKAOqlcrB61XT9HR0ZeMl5aW6q233tLSpUv1y1/+UpK0ePFidejQQdu3b1fv3r21adMmffLJJ9q8ebOioqLUrVs3zZw5U5MnT1ZWVpbsdrsWLVqkuLg4zZ07V5LUoUMHffTRR5o3b55cLldtLAkAANQxtXIm57PPPlNMTIxuv/12DR06VMXFxZKkgoICXbhwQYmJiVZt+/bt1bJlS+Xn50uS8vPz1blzZ0VFRVk1LpdLXq9XBw8etGp+eIzqmupjAAAABPxMTnx8vHJyctSuXTudOnVK06dP1/33368DBw7I4/HIbrerYcOGfo+JioqSx+ORJHk8Hr+AUz1fPfdjNV6vV999953q169/2d7Ky8tVXl5u7Xu93utaKwAAuHEFPOQMHDjQ+rlLly6Kj49Xq1attGLFiiuGj59Ldna2pk+fHtQeAADAz6PWP0LesGFD/eIXv9Dhw4cVHR2tiooKnT171q+mpKTEuoYnOjr6kk9bVe//VI3T6fzRIJWZmanS0lJrO378+PUuDwAA3KBqPeScP39eR44cUfPmzdWjRw/dcsstys3NteaLiopUXFyshIQESVJCQoL279+v06dPWzVut1tOp1MdO3a0an54jOqa6mNcicPhkNPp9NsAAICZAh5yfv/732vr1q06duyYtm3bpl//+tcKDQ3V4MGDFRERobS0NGVkZOjDDz9UQUGBRowYoYSEBPXu3VuSlJSUpI4dO2rYsGH6+OOPtXHjRk2dOlXp6elyOBySpNGjR+vzzz/XpEmTdOjQIb322mtasWKFJkyYEOjlAACAOirg1+ScOHFCgwcP1tdff61mzZrpvvvu0/bt29WsWTNJ0rx58xQSEqJBgwapvLxcLpdLr732mvX40NBQrV27Vs8++6wSEhJ06623KjU1VTNmzLBq4uLitG7dOk2YMEHz589XixYt9Oabb/LxcQAAYLH5fD5fsJsIFq/Xq4iICJWWlvLWFX42raesC3YLQEAdm5Uc7BZwk7na12++uwoAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGCngX+sAALi51MW7eHOX5psDZ3IAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjBTzkZGdn6+6771Z4eLgiIyOVkpKioqIiv5q+ffvKZrP5baNHj/arKS4uVnJysho0aKDIyEhNnDhRFy9e9KvZsmWLunfvLofDobZt2yonJyfQywEAAHVUwEPO1q1blZ6eru3bt8vtduvChQtKSkpSWVmZX93IkSN16tQpa5s9e7Y1V1lZqeTkZFVUVGjbtm165513lJOTo2nTplk1R48eVXJysvr166fCwkKNHz9eTz/9tDZu3BjoJQEAgDqoXqAPuGHDBr/9nJwcRUZGqqCgQH369LHGGzRooOjo6MseY9OmTfrkk0+0efNmRUVFqVu3bpo5c6YmT56srKws2e12LVq0SHFxcZo7d64kqUOHDvroo480b948uVyuQC8LAADUMbV+TU5paakkqXHjxn7jS5YsUdOmTdWpUydlZmbq22+/teby8/PVuXNnRUVFWWMul0ter1cHDx60ahITE/2O6XK5lJ+ff8VeysvL5fV6/TYAAGCmgJ/J+aGqqiqNHz9e9957rzp16mSNDxkyRK1atVJMTIz27dunyZMnq6ioSO+++64kyePx+AUcSda+x+P50Rqv16vvvvtO9evXv6Sf7OxsTZ8+PaBrBAAAN6ZaDTnp6ek6cOCAPvroI7/xUaNGWT937txZzZs3V//+/XXkyBG1adOm1vrJzMxURkaGte/1ehUbG1trzwcAAIKn1t6uGjNmjNauXasPP/xQLVq0+NHa+Ph4SdLhw4clSdHR0SopKfGrqd6vvo7nSjVOp/OyZ3EkyeFwyOl0+m0AAMBMAQ85Pp9PY8aM0apVq/TBBx8oLi7uJx9TWFgoSWrevLkkKSEhQfv379fp06etGrfbLafTqY4dO1o1ubm5fsdxu91KSEgI0EoAAEBdFvCQk56err/85S9aunSpwsPD5fF45PF49N1330mSjhw5opkzZ6qgoEDHjh3Te++9p+HDh6tPnz7q0qWLJCkpKUkdO3bUsGHD9PHHH2vjxo2aOnWq0tPT5XA4JEmjR4/W559/rkmTJunQoUN67bXXtGLFCk2YMCHQSwIAAHVQwEPOwoULVVpaqr59+6p58+bWtnz5ckmS3W7X5s2blZSUpPbt2+u5557ToEGD9P7771vHCA0N1dq1axUaGqqEhAQ98cQTGj58uGbMmGHVxMXFad26dXK73eratavmzp2rN998k4+PAwAASZLN5/P5gt1EsHi9XkVERKi0tJTrc/CzaT1lXbBbAG56x2YlB7sFXIerff2u1U9XAbWNwAAAuBK+oBMAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBI9YLdAAAAP7fWU9YFu4UaOzYrOdgt1DmcyQEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjMTNAGGpizfHAgDgSur8mZwFCxaodevWCgsLU3x8vHbu3BnslgAAwA2gToec5cuXKyMjQy+88IL27Nmjrl27yuVy6fTp08FuDQAABFmdDjkvvviiRo4cqREjRqhjx45atGiRGjRooLfffjvYrQEAgCCrs9fkVFRUqKCgQJmZmdZYSEiIEhMTlZ+ff9nHlJeXq7y83NovLS2VJHm93tptto6oKv822C0AAK6g5YSVwW6hxg5Md9XKcatft30+34/W1dmQ89VXX6myslJRUVF+41FRUTp06NBlH5Odna3p06dfMh4bG1srPQIAcDOLeKl2j3/u3DlFRERccb7OhpxrkZmZqYyMDGu/qqpKZ86cUZMmTWSz2YLSk9frVWxsrI4fPy6n0xmUHmoT66vbTF+fZP4aWV/dxvouz+fz6dy5c4qJifnRujobcpo2barQ0FCVlJT4jZeUlCg6Ovqyj3E4HHI4HH5jDRs2rK0Wa8TpdBr5H3A11le3mb4+yfw1sr66jfVd6sfO4FSrsxce2+129ejRQ7m5udZYVVWVcnNzlZCQEMTOAADAjaDOnsmRpIyMDKWmpqpnz57q1auXXnrpJZWVlWnEiBHBbg0AAARZnQ45jz32mL788ktNmzZNHo9H3bp104YNGy65GPlG5nA49MILL1zyNpopWF/dZvr6JPPXyPrqNtZ3fWy+n/r8FQAAQB1UZ6/JAQAA+DGEHAAAYCRCDgAAMBIhBwAAGImQcwMqLy9Xt27dZLPZVFhYGOx2Aubhhx9Wy5YtFRYWpubNm2vYsGE6efJksNsKmGPHjiktLU1xcXGqX7++2rRpoxdeeEEVFRXBbi1g/vznP+uee+5RgwYNbpgbaV6PBQsWqHXr1goLC1N8fLx27twZ7JYCJi8vTw899JBiYmJks9m0evXqYLcUUNnZ2br77rsVHh6uyMhIpaSkqKioKNhtBczChQvVpUsX6yZ5CQkJ+t///d9gt1VrZs2aJZvNpvHjxwf0uIScG9CkSZN+8lbVdVG/fv20YsUKFRUV6X/+53905MgR/eY3vwl2WwFz6NAhVVVV6fXXX9fBgwc1b948LVq0SM8//3ywWwuYiooKPfroo3r22WeD3cp1W758uTIyMvTCCy9oz5496tq1q1wul06fPh3s1gKirKxMXbt21YIFC4LdSq3YunWr0tPTtX37drndbl24cEFJSUkqKysLdmsB0aJFC82aNUsFBQXavXu3fvnLX+pXv/qVDh48GOzWAm7Xrl16/fXX1aVLl8Af3Icbyvr1633t27f3HTx40CfJt3fv3mC3VGvWrFnjs9lsvoqKimC3Umtmz57ti4uLC3YbAbd48WJfREREsNu4Lr169fKlp6db+5WVlb6YmBhfdnZ2ELuqHZJ8q1atCnYbter06dM+Sb6tW7cGu5Va06hRI9+bb74Z7DYC6ty5c7477rjD53a7fQ888IBv3LhxAT0+Z3JuICUlJRo5cqT+67/+Sw0aNAh2O7XqzJkzWrJkie655x7dcsstwW6n1pSWlqpx48bBbgP/R0VFhQoKCpSYmGiNhYSEKDExUfn5+UHsDNeqtLRUkoz8+1ZZWally5aprKzMuK8tSk9PV3Jyst/fxUAi5NwgfD6fnnzySY0ePVo9e/YMdju1ZvLkybr11lvVpEkTFRcXa82aNcFuqdYcPnxYr7zyip555plgt4L/46uvvlJlZeUld0ePioqSx+MJUle4VlVVVRo/frzuvfdederUKdjtBMz+/ft12223yeFwaPTo0Vq1apU6duwY7LYCZtmyZdqzZ4+ys7Nr7TkIObVsypQpstlsP7odOnRIr7zyis6dO6fMzMxgt1wjV7u+ahMnTtTevXu1adMmhYaGavjw4fLd4DfdrukaJemLL77QgAED9Oijj2rkyJFB6vzqXMv6gBtJenq6Dhw4oGXLlgW7lYBq166dCgsLtWPHDj377LNKTU3VJ598Euy2AuL48eMaN26clixZorCwsFp7Hr7WoZZ9+eWX+vrrr3+05vbbb9dvf/tbvf/++7LZbNZ4ZWWlQkNDNXToUL3zzju13eo1udr12e32S8ZPnDih2NhYbdu27YY+BVvTNZ48eVJ9+/ZV7969lZOTo5CQG/v/Ja7lzzAnJ0fjx4/X2bNna7m72lFRUaEGDRror3/9q1JSUqzx1NRUnT171rgzjDabTatWrfJbqynGjBmjNWvWKC8vT3FxccFup1YlJiaqTZs2ev3114PdynVbvXq1fv3rXys0NNQaq6yslM1mU0hIiMrLy/3mrlWd/oLOuqBZs2Zq1qzZT9a9/PLL+tOf/mTtnzx5Ui6XS8uXL1d8fHxttnhdrnZ9l1NVVSXpnx+Zv5HVZI1ffPGF+vXrpx49emjx4sU3fMCRru/PsK6y2+3q0aOHcnNzrRf+qqoq5ebmasyYMcFtDlfF5/Np7NixWrVqlbZs2WJ8wJH++d/ojf7v5dXq37+/9u/f7zc2YsQItW/fXpMnTw5IwJEIOTeMli1b+u3fdtttkqQ2bdqoRYsWwWgpoHbs2KFdu3bpvvvuU6NGjXTkyBH98Y9/VJs2bW7oszg18cUXX6hv375q1aqV/uM//kNffvmlNRcdHR3EzgKnuLhYZ86cUXFxsSorK637OLVt29b6b7auyMjIUGpqqnr27KlevXrppZdeUllZmUaMGBHs1gLi/PnzOnz4sLV/9OhRFRYWqnHjxpf8e1MXpaena+nSpVqzZo3Cw8Ota6kiIiJUv379IHd3/TIzMzVw4EC1bNlS586d09KlS7VlyxZt3Lgx2K0FRHh4+CXXT1VfrxnQ66oC+lktBMzRo0eN+gj5vn37fP369fM1btzY53A4fK1bt/aNHj3ad+LEiWC3FjCLFy/2SbrsZorU1NTLru/DDz8MdmvX5JVXXvG1bNnSZ7fbfb169fJt37492C0FzIcffnjZP6vU1NRgtxYQV/q7tnjx4mC3FhBPPfWUr1WrVj673e5r1qyZr3///r5NmzYFu61aVRsfIeeaHAAAYKQb/4IBAACAa0DIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICR/h+H2B9jrFj4mgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = Normal(Prg(key, seed))\n",
    "plt.hist(z.generate((256,256)).flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d28ccf9d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.4"
  },
  "vscode": {
   "interpreter": {
    "hash": "5577eac2f84f3a3b6ba4203f47d885d04535cbc60a4e19a8c9ccfb8b43470bd5"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}