clean_track.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7ac8d490-4d5d-4b37-ab89-649760fabd39",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b151c35b",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"maps/map_400_points.npy\", \"rb\") as f:\n",
    "    map_data = np.load(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f9fb058e-884e-4842-b43f-498358fa6af1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.4350983522590024"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Should be 1.77\n",
    "expected_x = 1.77\n",
    "leftmost_x = map_data[200+np.argmin(np.abs(map_data[200:, 1] - 2.0))]\n",
    "rightmost_x = map_data[np.argmin(np.abs(map_data[:, 1] - 2.0))]\n",
    "\n",
    "real_x = rightmost_x[0] - leftmost_x[0]\n",
    "real_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0579aebf-28cd-47bd-9599-e7a7b4cce8d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.2333649447885058"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "short_coeff_x = expected_x/real_x\n",
    "short_coeff_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "fb6de422-9b3e-4e08-a930-29ba99311a24",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_traj_x = [(point[0]-leftmost_x[0])*short_coeff_x + leftmost_x[0] for point in map_data]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "58c3ce17-5977-4f69-a323-4d1e77fb1bbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.709130292984435"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Should be 2.40\n",
    "expected_y = 2.40\n",
    "bottom_y = map_data[np.argmin(np.abs(map_data[:, 0] - 0.7))]\n",
    "top_y = map_data[np.argmin(np.abs(map_data[:100, 0] - 0.7))]\n",
    "\n",
    "real_y = top_y[1] - bottom_y[1]\n",
    "real_y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b7e247f9-8bf9-4d55-8204-fdc5d0ee01fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8858931614382081"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "short_coeff_y = expected_y/real_y\n",
    "short_coeff_y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "093a3726-95af-43ee-848e-8b1f1eaa73a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_traj_y = [(point[1]-bottom_y[1])*short_coeff_y + bottom_y[1] for point in map_data]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "95e31474-30f2-4704-8bd2-1846badd7893",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 3000x2400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(30, 24), dpi=100)\n",
    "plt.scatter(new_traj_x, new_traj_y)\n",
    "plt.gca().set_aspect('equal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "0085a0f8",
   "metadata": {},
   "outputs": [],
   "source": [
    "result = np.array([new_traj_x, new_traj_y]).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c89b9edc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8ce40c9910>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(*result.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "81e91192-85fd-4676-ac3c-6929e7efdbb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('map_400_fixed.npy', 'wb') as f:\n",
    "    np.save(f, result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "89050aec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.2333649447885058, 0.8711282754142379)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "long_side, short_side = 2.36, 1.77\n",
    "env_long_len, env_short_len = 2.925, 2.34\n",
    "env_long_border, env_short_border = (env_long_len-long_side)/2, (env_short_len-short_side)/2\n",
    "\n",
    "scale_x = short_side / (rightmost_x[0] - leftmost_x[0])\n",
    "scale_y = long_side / (top_y[1] - bottom_y[1])\n",
    "\n",
    "scale_x, scale_y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "1093271d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f8ce3fa2d90>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(*result.T)\n",
    "plt.scatter(1.19, 0.48)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "RACE",
   "language": "python",
   "name": "race"
  },
  "language_info": {
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