getting_started.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "flying-recovery",
   "metadata": {},
   "source": [
    "# Getting started"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "therapeutic-access",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from jigsaw import *\n",
    "from jigsaw.default import *\n",
    "from jigsaw.svg import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "posted-karaoke",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['CENTERED_MEDIUM_MALE', 'CENTERED_MEDIUM_FEMALE',\n",
       "       'CENTERED_SMALL_MALE', 'CENTERED_SMALL_FEMALE'], dtype='<U22')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Choose only centered edge types, two sizes\n",
    "edge_types = np.array([\n",
    "    CENTERED_SMALL_MALE,\n",
    "    CENTERED_MEDIUM_MALE,\n",
    "])\n",
    "\n",
    "# Automatically expand types to match combinations\n",
    "edge_types = expand_edge_types(edge_types, opposite, flip)\n",
    "\n",
    "# Show actual types\n",
    "edge_names[edge_types]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "arranged-variety",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[0, 6, 5, 0],\n",
       "        [0, 4, 4, 0],\n",
       "        [0, 5, 4, 0]]),\n",
       " array([[0, 0, 0],\n",
       "        [6, 4, 6],\n",
       "        [4, 4, 5],\n",
       "        [0, 0, 0]]))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Generate grid\n",
    "H, W = 3, 3\n",
    "horizontal_edges, vertical_edges = sample_random_grid(H, W, edge_types)\n",
    "horizontal_edges, vertical_edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "amber-inspection",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ],
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show it\n",
    "display_grid(horizontal_edges, vertical_edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "major-disco",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[5, 0, 0, 6],\n",
       "        [6, 0, 6, 4],\n",
       "        [0, 0, 5, 6]],\n",
       "\n",
       "       [[3, 5, 0, 4],\n",
       "        [3, 3, 4, 4],\n",
       "        [0, 5, 4, 5]],\n",
       "\n",
       "       [[6, 3, 0, 0],\n",
       "        [3, 3, 5, 0],\n",
       "        [0, 6, 4, 0]]], dtype=uint8)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Convert to list of pieces\n",
    "pieces = grid_to_pieces(horizontal_edges, vertical_edges, opposite)\n",
    "pieces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "internal-lying",
   "metadata": {},
   "outputs": [
    {
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    {
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      "text/html": [
       "<div style=\"padding:1em\"><svg width=\"256\" height=\"256\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"translate(32.0 32.0)\"><path fill=\"none\" stroke=\"black\" d=\"M 0.0 -16.0 L 0.0 0.0 L 0.0 64.0 L 0.0 128.0 L 0.0 192.0 L 0.0 208.0 M 64.0 -16.0 L 64.0 0.0 C 64.0 12.8, 67.2 12.8, 67.2 25.6 A 3.2 3.2 0 0 1 62.125483399593904 27.474516600406098 A 6.4 6.4 0 1 0 62.125483399593904 36.5254833995939 A 3.2 3.2 0 0 1 67.2 38.4 C 67.2 51.2, 64.0 51.2, 64.0 64.0 C 64.0 75.52, 68.48 75.52, 68.48 87.03999999999999 A 4.4799999999999995 4.4799999999999995 0 0 1 61.375676759431464 89.66432324056854 A 8.959999999999999 8.959999999999999 0 1 0 61.375676759431464 102.33567675943146 A 4.4799999999999995 4.4799999999999995 0 0 1 68.48 104.96000000000001 C 68.48 116.47999999999999, 64.0 116.47999999999999, 64.0 128.0 C 64.0 140.8, 67.2 140.8, 67.2 153.6 A 3.2 3.2 0 0 1 62.125483399593904 155.4745166004061 A 6.4 6.4 0 1 0 62.125483399593904 164.5254833995939 A 3.2 3.2 0 0 1 67.2 166.4 C 67.2 179.2, 64.0 179.2, 64.0 192.0 L 64.0 208.0 M 128.0 -16.0 L 128.0 0.0 C 128.0 12.8, 124.8 12.8, 124.8 25.6 A 3.2 3.2 0 0 0 129.87451660040608 27.474516600406098 A 6.4 6.4 0 1 1 129.87451660040608 36.5254833995939 A 3.2 3.2 0 0 0 124.8 38.4 C 124.8 51.2, 128.0 51.2, 128.0 64.0 C 128.0 75.52, 132.48 75.52, 132.48 87.03999999999999 A 4.4799999999999995 4.4799999999999995 0 0 1 125.37567675943147 89.66432324056854 A 8.959999999999999 8.959999999999999 0 1 0 125.37567675943147 102.33567675943146 A 4.4799999999999995 4.4799999999999995 0 0 1 132.48 104.96000000000001 C 132.48 116.47999999999999, 128.0 116.47999999999999, 128.0 128.0 C 128.0 139.52, 132.48 139.52, 132.48 151.04 A 4.4799999999999995 4.4799999999999995 0 0 1 125.37567675943147 153.66432324056854 A 8.959999999999999 8.959999999999999 0 1 0 125.37567675943147 166.33567675943146 A 4.4799999999999995 4.4799999999999995 0 0 1 132.48 168.96 C 132.48 180.48, 128.0 180.48, 128.0 192.0 L 128.0 208.0 M 192.0 -16.0 L 192.0 0.0 L 192.0 64.0 L 192.0 128.0 L 192.0 192.0 L 192.0 208.0 M -16.0 0.0 L 0.0 0.0 L 64.0 0.0 L 128.0 0.0 L 192.0 0.0 L 208.0 0.0 M -16.0 64.0 L 0.0 64.0 C 12.8 64.0, 12.8 60.8, 25.6 60.8 A 3.2 3.2 0 0 1 27.474516600406098 65.8745166004061 A 6.4 6.4 0 1 0 36.5254833995939 65.8745166004061 A 3.2 3.2 0 0 1 38.4 60.8 C 51.2 60.8, 51.2 64.0, 64.0 64.0 C 75.52 64.0, 75.52 68.48, 87.03999999999999 68.48 A 4.4799999999999995 4.4799999999999995 0 0 0 89.66432324056854 61.375676759431464 A 8.959999999999999 8.959999999999999 0 1 1 102.33567675943146 61.375676759431464 A 4.4799999999999995 4.4799999999999995 0 0 0 104.96000000000001 68.48 C 116.47999999999999 68.48, 116.47999999999999 64.0, 128.0 64.0 C 139.52 64.0, 139.52 68.48, 151.04 68.48 A 4.4799999999999995 4.4799999999999995 0 0 0 153.66432324056854 61.375676759431464 A 8.959999999999999 8.959999999999999 0 1 1 166.33567675943146 61.375676759431464 A 4.4799999999999995 4.4799999999999995 0 0 0 168.96 68.48 C 180.48 68.48, 180.48 64.0, 192.0 64.0 L 208.0 64.0 M -16.0 128.0 L 0.0 128.0 C 12.8 128.0, 12.8 131.2, 25.6 131.2 A 3.2 3.2 0 0 0 27.474516600406098 126.1254833995939 A 6.4 6.4 0 1 1 36.5254833995939 126.1254833995939 A 3.2 3.2 0 0 0 38.4 131.2 C 51.2 131.2, 51.2 128.0, 64.0 128.0 C 75.52 128.0, 75.52 132.48, 87.03999999999999 132.48 A 4.4799999999999995 4.4799999999999995 0 0 0 89.66432324056854 125.37567675943147 A 8.959999999999999 8.959999999999999 0 1 1 102.33567675943146 125.37567675943147 A 4.4799999999999995 4.4799999999999995 0 0 0 104.96000000000001 132.48 C 116.47999999999999 132.48, 116.47999999999999 128.0, 128.0 128.0 C 140.8 128.0, 140.8 124.8, 153.6 124.8 A 3.2 3.2 0 0 1 155.4745166004061 129.87451660040608 A 6.4 6.4 0 1 0 164.5254833995939 129.87451660040608 A 3.2 3.2 0 0 1 166.4 124.8 C 179.2 124.8, 179.2 128.0, 192.0 128.0 L 208.0 128.0 M -16.0 192.0 L 0.0 192.0 L 64.0 192.0 L 128.0 192.0 L 192.0 192.0 L 208.0 192.0\"/></g></svg></div>"
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       "<IPython.core.display.HTML object>"
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     "metadata": {},
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   ],
   "source": [
    "# Display all solutions\n",
    "for h, v in iterate_solutions(H, W, pieces, opposite, flip, constraints=\"border\"):\n",
    "    display_grid(h, v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "third-romance",
   "metadata": {},
   "outputs": [
    {
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       "<div style=\"padding:1em\"><svg width=\"256\" height=\"256\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"translate(32.0 32.0)\"><path fill=\"none\" stroke=\"black\" d=\"M 0.0 -16.0 L 0.0 0.0 L 0.0 64.0 L 0.0 128.0 L 0.0 192.0 L 0.0 208.0 M 64.0 -16.0 L 64.0 0.0 C 64.0 11.52, 59.52 11.52, 59.52 23.04 A 4.4799999999999995 4.4799999999999995 0 0 0 66.62432324056853 25.664323240568535 A 8.959999999999999 8.959999999999999 0 1 1 66.62432324056853 38.335676759431465 A 4.4799999999999995 4.4799999999999995 0 0 0 59.52 40.96 C 59.52 52.48, 64.0 52.48, 64.0 64.0 C 64.0 75.52, 59.52 75.52, 59.52 87.03999999999999 A 4.4799999999999995 4.4799999999999995 0 0 0 66.62432324056853 89.66432324056854 A 8.959999999999999 8.959999999999999 0 1 1 66.62432324056853 102.33567675943146 A 4.4799999999999995 4.4799999999999995 0 0 0 59.52 104.96000000000001 C 59.52 116.47999999999999, 64.0 116.47999999999999, 64.0 128.0 C 64.0 140.8, 67.2 140.8, 67.2 153.6 A 3.2 3.2 0 0 1 62.125483399593904 155.4745166004061 A 6.4 6.4 0 1 0 62.125483399593904 164.5254833995939 A 3.2 3.2 0 0 1 67.2 166.4 C 67.2 179.2, 64.0 179.2, 64.0 192.0 L 64.0 208.0 M 128.0 -16.0 L 128.0 0.0 C 128.0 12.8, 124.8 12.8, 124.8 25.6 A 3.2 3.2 0 0 0 129.87451660040608 27.474516600406098 A 6.4 6.4 0 1 1 129.87451660040608 36.5254833995939 A 3.2 3.2 0 0 0 124.8 38.4 C 124.8 51.2, 128.0 51.2, 128.0 64.0 C 128.0 75.52, 123.52 75.52, 123.52 87.03999999999999 A 4.4799999999999995 4.4799999999999995 0 0 0 130.62432324056854 89.66432324056854 A 8.959999999999999 8.959999999999999 0 1 1 130.62432324056854 102.33567675943146 A 4.4799999999999995 4.4799999999999995 0 0 0 123.52 104.96000000000001 C 123.52 116.47999999999999, 128.0 116.47999999999999, 128.0 128.0 C 128.0 140.8, 124.8 140.8, 124.8 153.6 A 3.2 3.2 0 0 0 129.87451660040608 155.4745166004061 A 6.4 6.4 0 1 1 129.87451660040608 164.5254833995939 A 3.2 3.2 0 0 0 124.8 166.4 C 124.8 179.2, 128.0 179.2, 128.0 192.0 L 128.0 208.0 M 192.0 -16.0 L 192.0 0.0 L 192.0 64.0 L 192.0 128.0 L 192.0 192.0 L 192.0 208.0 M -16.0 0.0 L 0.0 0.0 L 64.0 0.0 L 128.0 0.0 L 192.0 0.0 L 208.0 0.0 M -16.0 64.0 L 0.0 64.0 C 12.8 64.0, 12.8 67.2, 25.6 67.2 A 3.2 3.2 0 0 0 27.474516600406098 62.125483399593904 A 6.4 6.4 0 1 1 36.5254833995939 62.125483399593904 A 3.2 3.2 0 0 0 38.4 67.2 C 51.2 67.2, 51.2 64.0, 64.0 64.0 C 75.52 64.0, 75.52 59.52, 87.03999999999999 59.52 A 4.4799999999999995 4.4799999999999995 0 0 1 89.66432324056854 66.62432324056853 A 8.959999999999999 8.959999999999999 0 1 0 102.33567675943146 66.62432324056853 A 4.4799999999999995 4.4799999999999995 0 0 1 104.96000000000001 59.52 C 116.47999999999999 59.52, 116.47999999999999 64.0, 128.0 64.0 C 140.8 64.0, 140.8 60.8, 153.6 60.8 A 3.2 3.2 0 0 1 155.4745166004061 65.8745166004061 A 6.4 6.4 0 1 0 164.5254833995939 65.8745166004061 A 3.2 3.2 0 0 1 166.4 60.8 C 179.2 60.8, 179.2 64.0, 192.0 64.0 L 208.0 64.0 M -16.0 128.0 L 0.0 128.0 C 11.52 128.0, 11.52 123.52, 23.04 123.52 A 4.4799999999999995 4.4799999999999995 0 0 1 25.664323240568535 130.62432324056854 A 8.959999999999999 8.959999999999999 0 1 0 38.335676759431465 130.62432324056854 A 4.4799999999999995 4.4799999999999995 0 0 1 40.96 123.52 C 52.48 123.52, 52.48 128.0, 64.0 128.0 C 75.52 128.0, 75.52 123.52, 87.03999999999999 123.52 A 4.4799999999999995 4.4799999999999995 0 0 1 89.66432324056854 130.62432324056854 A 8.959999999999999 8.959999999999999 0 1 0 102.33567675943146 130.62432324056854 A 4.4799999999999995 4.4799999999999995 0 0 1 104.96000000000001 123.52 C 116.47999999999999 123.52, 116.47999999999999 128.0, 128.0 128.0 C 140.8 128.0, 140.8 131.2, 153.6 131.2 A 3.2 3.2 0 0 0 155.4745166004061 126.1254833995939 A 6.4 6.4 0 1 1 164.5254833995939 126.1254833995939 A 3.2 3.2 0 0 0 166.4 131.2 C 179.2 131.2, 179.2 128.0, 192.0 128.0 L 208.0 128.0 M -16.0 192.0 L 0.0 192.0 L 64.0 192.0 L 128.0 192.0 L 192.0 192.0 L 208.0 192.0\"/></g></svg></div>"
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      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Display all unique solutions\n",
    "for h, v in iterate_unique_solutions(H, W, pieces, opposite, flip, constraints=\"border\"):\n",
    "    display_grid(h, v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "conscious-threshold",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Shorthand\n",
    "has_unique_solution(H, W, pieces, opposite, flip, constraints=\"border\")"
   ]
  }
 ],
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