{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e1385446",
   "metadata": {},
   "source": [
    "# Generative Reflection Combinatorial (GRC) kernel"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "748b12e2",
   "metadata": {},
   "source": [
    "In this notebook we provide examples of how tilings made with the GRC kernel, introduced in v1.4 can be used"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "47d85c69",
   "metadata": {},
   "outputs": [],
   "source": [
    "from hypertiling import HyperbolicTiling, HyperbolicGraph, TilingKernels, GraphKernels\n",
    "from hypertiling.graphics.plot import plot_tiling\n",
    "\n",
    "import matplotlib.cm as cmap\n",
    "import numpy as np\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd1d58ec",
   "metadata": {},
   "source": [
    "## Initialization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2934ef2",
   "metadata": {},
   "source": [
    "The GRC kernel can be accessed by the **HyperbolicTiling** and **HyperbolicGraph** factory pattern. In both cases, the same GRC class object is initalized. The difference between both calls are the default values given to the GRC class for initialization:\n",
    "\n",
    "In general, GRC takes **three different keyword arguments** with the corresponding defaults\n",
    "\n",
    "- sector = True: Controlls whether the whole tiling is constructed (False) or only one symmetry sector (True) with generators providing the remaining sectors\n",
    "- tiling = False: Controlls whether cell coordinates are calculated (True)\n",
    "- nbrs = False: Controlls whether the neighborhood relations are calculated (True)\n",
    "\n",
    "On one hand, advantage of having coordinates is that we can plot the tilings. On the other hand, tilings require \n",
    "more time and memory to be generated. \n",
    "\n",
    "If GRC is called by the HyperbolicTiling factory pattern, the tiling keyword is adjusted such that tiling=True.\n",
    "Similarily, if GRC is called by the HyperbolicGraph factory pattern, the graph keyword is adjusted such that graph=True.\n",
    "\n",
    "Please note that in both cases, the other keyword can be manually set to either value. In case of tiling and nbrs being True, the results of HyperbolicTiling and HyperbolicGraph are identical."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "03dc3626",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tilings:\n",
      "\tsector=True, nbrs=False took 0.3798403739929199\n",
      "\tsector=False, nbrs=False took 1.6771588325500488\n",
      "=======================================\n",
      "Graphs:\n",
      "\tsector=True, tiling=False took 0.017539024353027344\n",
      "\tsector=False, tiling=False took 0.06253170967102051\n",
      "=======================================\n",
      "Identical (tiling=True, nbrs=True):\n",
      "\tsector=True:\n",
      "\t\tHyperbolicTiling: 0.3804655075073242\n",
      "\t\tHyperbolicGraph: 0.3526735305786133\n",
      "\tsector=False:\n",
      "\t\tHyperbolicTiling: 1.660423994064331\n",
      "\t\tHyperbolicGraph: 1.693098545074463\n"
     ]
    }
   ],
   "source": [
    "p, q, n = 5, 4, 14\n",
    "\n",
    "# Create some tilings\n",
    "t0 = time.time()\n",
    "t = HyperbolicTiling(p, q, n, kernel=TilingKernels.GRC) # sector = True, tiling = True, nbrs = False\n",
    "t1 = time.time()\n",
    "t = HyperbolicTiling(p, q, n, kernel=TilingKernels.GRC, sector=False) # sector = False, tiling = True, nbrs = False\n",
    "t2 = time.time()\n",
    "print(\"Tilings:\")\n",
    "print(f\"\\tsector=True, nbrs=False took {t1 - t0}\")\n",
    "print(f\"\\tsector=False, nbrs=False took {t2 - t1}\")\n",
    "print(\"=======================================\")\n",
    "\n",
    "\n",
    "# Create some graphs\n",
    "t0 = time.time()\n",
    "t = HyperbolicGraph(p, q, n, kernel=GraphKernels.GRC) # sector = True, tiling = True, nbrs = False\n",
    "t1 = time.time()\n",
    "t = HyperbolicGraph(p, q, n, kernel=GraphKernels.GRC, sector=False) # sector = False, tiling = True, nbrs = False\n",
    "t2 = time.time()\n",
    "print(\"Graphs:\")\n",
    "print(f\"\\tsector=True, tiling=False took {t1 - t0}\")\n",
    "print(f\"\\tsector=False, tiling=False took {t2 - t1}\")\n",
    "print(\"=======================================\")\n",
    "\n",
    "# if tiling and nbrs are True, HyperbolicTiling and HyperbolicGraph return identical results\n",
    "# HyperbolicTiling pattern\n",
    "t0 = time.time()\n",
    "t = HyperbolicTiling(p, q, n, kernel=TilingKernels.GRC, nbrs=True) # sector = True, tiling = True, nbrs = True\n",
    "t1 = time.time()\n",
    "t = HyperbolicTiling(p, q, n, kernel=TilingKernels.GRC, sector=False, nbrs=True) # sector = False, tiling = True, nbrs = True\n",
    "t2 = time.time()\n",
    "\n",
    "# HyperbolicGraph pattern\n",
    "t3 = time.time()\n",
    "t = HyperbolicGraph(p, q, n, kernel=GraphKernels.GRC, tiling=True) # sector = True, tiling = True, nbrs = False\n",
    "t4 = time.time()\n",
    "t = HyperbolicGraph(p, q, n, kernel=GraphKernels.GRC, sector=False, tiling=True) # sector = False, tiling = True, nbrs = False\n",
    "t5 = time.time()\n",
    "\n",
    "\n",
    "print(\"Identical (tiling=True, nbrs=True):\")\n",
    "print(\"\\tsector=True:\")\n",
    "print(f\"\\t\\tHyperbolicTiling: {t1 - t0}\")\n",
    "print(f\"\\t\\tHyperbolicGraph: {t4 - t3}\")\n",
    "print(\"\\tsector=False:\")\n",
    "print(f\"\\t\\tHyperbolicTiling: {t2 - t1}\")\n",
    "print(f\"\\t\\tHyperbolicGraph: {t5 - t4}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f855aec-30f3-4685-90a2-c01f83640b9a",
   "metadata": {},
   "source": [
    "## Examples"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d086c93c",
   "metadata": {},
   "source": [
    "### The hypertiling logo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "82ff1a19",
   "metadata": {},
   "outputs": [],
   "source": [
    "t = HyperbolicTiling(7, 3, 3, kernel=TilingKernels.GRC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b779fe64",
   "metadata": {},
   "outputs": [],
   "source": [
    "ct = np.zeros(len(t))\n",
    "for i, poly in enumerate(t):\n",
    "    val = np.real(poly[0])-np.imag(poly[0])\n",
    "    ct[i] = np.sign(val)*(np.abs(val))**1.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5ca80041",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 480x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tiling(t, ct, cmap=cmap.RdYlGn, edgecolor=\"w\", lw=5, clim=[-1,1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3792f50",
   "metadata": {},
   "source": [
    "### Tiling as Vector Graphics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "486f4ae3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from hypertiling import HyperbolicTiling\n",
    "import hypertiling.graphics.svg as svg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8bec2388",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<IPython.core.display.SVG object>",
      "image/svg+xml": "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"500px\" height=\"500px\" viewBox=\"0 0 200 200\">\n<g style=\"stroke:black; stroke-width:0.3px\">\n\t<path style=\"fill:rgb(255, 255, 229)\" d=\"M 139.79754 100.0  A 149.53488 149.53488 0 0 0 112.29812 62.15029  A 149.53488 149.53488 0 0 1 67.80311 76.60759  A 149.53488 149.53488 0 0 1 67.80311 123.39241  A 149.53488 149.53488 0 0 1 112.29812 137.84971  A 149.53488 149.53488 0 0 1 139.79754 100.0 \"/>\n\n\t<path style=\"fill:rgb(254, 235, 162)\" d=\"M 139.79754 100.0  A 149.53488 149.53488 0 0 0 167.88741 77.94204  A 35.3004 35.3004 0 0 1 163.18995 54.08981  A 35.3004 35.3004 0 0 1 141.95673 42.25152  A 149.53488 149.53488 0 0 1 112.29812 62.15029  A 149.53488 149.53488 0 0 1 139.79754 100.0 \"/>\n\n\t<path style=\"fill:rgb(254, 187, 71)\" d=\"M 167.88741 77.94204  A 149.53488 149.53488 0 0 1 183.60925 69.62716  A 11.7668 11.7668 0 0 1 183.53776 60.04172  A 10.16677 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate tiling\n",
    "tiling = HyperbolicTiling(5, 4, 6, kernel=\"GRC\")\n",
    "\n",
    "# we color the tiling by layer\n",
    "colors = [0.0, 0.2, 0.4, 0.6, 0.8, 1.0]\n",
    "\n",
    "# query layer information\n",
    "tiling_colors = [colors[tiling.get_reflection_level(i) % len(colors)] for i in range(len(tiling))]\n",
    "\n",
    "# create and draw svg image\n",
    "tiling_svg = svg.make_svg(tiling, tiling_colors, unitcircle=True, cmap=\"YlOrBr\")\n",
    "svg.draw_svg(tiling_svg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36a52bec",
   "metadata": {},
   "source": [
    "### Voter model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "992837d6",
   "metadata": {},
   "source": [
    "In this simple stochastic process, cells will always take on the color of the majority of their adjacent cells"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7b9d713c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from hypertiling.graphics.plot import plot_tiling\n",
    "\n",
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cmap"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fe063f5",
   "metadata": {},
   "source": [
    "#### Tiling vs Graph\n",
    "\n",
    "For applications like finding the lowest energy state by quenching its not necessary to have coordinates. \n",
    "In this case, a graph can be used as its construction is faster for large tilings. \n",
    "\n",
    "However, quenching times are often magnitudes larger than the generation time even in full tiling mode. Nonetheless the advantage of reduced memory requirements holds and can be curical especially for large tilings. In fact, the memory requirement for the coordinates often is a magnitude larger than for the neighbor relations and construction. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cdf87689-3361-4fb3-8e72-7dcc83b3b056",
   "metadata": {},
   "source": [
    "Prepare function which computes the energy of a configuration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bc494f64",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_energy(t):\n",
    "    sum_ = 0\n",
    "    for index in range(len(t)):\n",
    "        sum_ += sum([0 if states[nbr] == states[index] else 1 for nbr in t.get_nbrs(index)])\n",
    "    return sum_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "140877ac-498b-40c9-960c-3715ef896ba3",
   "metadata": {},
   "source": [
    "Set tiling/graph parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c19421f9-2fe7-46ba-9271-33d51af32fcc",
   "metadata": {},
   "outputs": [],
   "source": [
    "p, q, n = 8, 3, 10"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2180835",
   "metadata": {},
   "source": [
    "#### Tiling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "18d66ae8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generation of 443081 polygons took 0.12208 s\n"
     ]
    }
   ],
   "source": [
    "t1 = time.time()\n",
    "t = HyperbolicTiling(p, q, n, kernel=\"GRC\", nbrs=True)  # Identical to HyperbolicGraph(p, q, n, kernel=\"GRC\", tiling=True)\n",
    "print(f\"Generation of {len(t)} polygons took {round(time.time() - t1,5)} s\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2458cb59",
   "metadata": {},
   "source": [
    "Extract the neighbours"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f6b83ff3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Get nbrs took 7.46339 s\n"
     ]
    }
   ],
   "source": [
    "t1 = time.time()\n",
    "nbrs = t.get_nbrs_list()\n",
    "print(f\"Get nbrs took {round(time.time() - t1,5)} s\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad6f8de5",
   "metadata": {},
   "source": [
    "Initialize the voter model with random state space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "6ce19ff6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Energy of the state is 1.17e+06\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 480x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "states = np.random.randint(0, 2, size=len(t))\n",
    "plot_tiling(t, states, cmap=cmap.Greys, edgecolor=\"k\", cutoff=0.01, lw=0.7, clim=[0,2]);\n",
    "print(f\"Energy of the state is {get_energy(t):.2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a30d05a5",
   "metadata": {},
   "source": [
    "Run the model and display resulting configuration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "db50e939",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Energy of the state is  1.07e+06\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 480x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "its = 1e5 # number of iterations\n",
    "\n",
    "for i in range(int(its)):\n",
    "    index = int(len(t) * np.random.random())\n",
    "    sum_ = sum([states[nbr] for nbr in t.get_nbrs(index)])\n",
    "    if sum_ >= p // 2:\n",
    "        states[index] = 1\n",
    "    else:\n",
    "        states[index] = 0\n",
    "    \n",
    "plot_tiling(t, states, cmap=cmap.Greys, edgecolor=\"k\", cutoff=0.01, lw=0.7, clim=[0,2]);\n",
    "print(f\"Energy of the state is {get_energy(t): .2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6f6a8e4",
   "metadata": {},
   "source": [
    "#### Graph\n",
    "When using the graph we are not able to plot the graph as we lack coordinates. However, we can use the spared memory (as we do not calculate the coordinates) to construct the graph in full mode (all sectors). This allows for faster access of neighbors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f8da3292",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generation of 443081 polygons took 0.03332 s\n"
     ]
    }
   ],
   "source": [
    "t1 = time.time()\n",
    "t = HyperbolicGraph(p, q, n, kernel=\"GRC\", sector=False)  # no coordinates\n",
    "print(f\"Generation of {len(t)} polygons took {round(time.time() - t1,5)} s\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e579bed6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Get nbrs took 1.82204 s\n"
     ]
    }
   ],
   "source": [
    "t1 = time.time()\n",
    "nbrs = t.get_nbrs_list()\n",
    "print(f\"Get nbrs took {round(time.time() - t1,5)} s\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "09a00919",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Energy of the state is  1.17e+06\n",
      "Energy of the state is  1.07e+06\n"
     ]
    }
   ],
   "source": [
    "states = np.random.randint(0, 2, size=len(t))\n",
    "print(f\"Energy of the state is {get_energy(t): .2e}\")\n",
    "\n",
    "its = 1e5 # number of iterations\n",
    "\n",
    "for i in range(int(its)):\n",
    "    index = int(len(t) * np.random.random())\n",
    "    sum_ = sum([states[nbr] for nbr in t.get_nbrs(index)])\n",
    "    if sum_ >= p // 2:\n",
    "        states[index] = 1\n",
    "    else:\n",
    "        states[index] = 0\n",
    "        \n",
    "print(f\"Energy of the state is {get_energy(t): .2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c3cb3d1",
   "metadata": {},
   "source": [
    "## Further methods"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "234db2e0",
   "metadata": {},
   "source": [
    "### get_reflection_level"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc552ae5",
   "metadata": {},
   "source": [
    "The natural defintion of layers of the GR kernel family is different compared to SR and Dunham kernels. Only for tilings/graphs with $q=3$ the definition coincides. To access the natural layer definition of these kernels, we provide the `get_reflection_level`method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "39b3213c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<IPython.core.display.SVG object>",
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   ],
   "source": [
    "from hypertiling import HyperbolicTiling, TilingKernels\n",
    "import hypertiling.graphics.svg as svg\n",
    "\n",
    "# some colors for the different layers\n",
    "colors = [0.0, 0.2, 0.4, 0.6, 0.8, 1.0]\n",
    "\n",
    "# For q != 3, the definitons do not match\n",
    "t = HyperbolicTiling(3, 7, 5, kernel=TilingKernels.GRC)\n",
    "\n",
    "# plot reflective layers\n",
    "tiling_colors = [colors[t.get_reflection_level(i) % len(colors)] for i in range(len(t))]\n",
    "tiling_svg = svg.make_svg(t, tiling_colors, unitcircle=True, cmap=\"YlOrBr\")\n",
    "svg.draw_svg(tiling_svg)"
   ]
  },
  {
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   "source": [
    "### check_integrity\n",
    "For GRC, a `check_integrity` method is available if nbrs=True. As, even for tilings, the coordinates and cells are generated by a combinatoric algorithm, this method verifies whether the graph structure created by the same process is consistent. This is done in a two step process:\n",
    "1. First, the number of nbrs for each cell except the last layer is verified to match p\n",
    "2. Second, a bidirectional search is applied around each pair of nbrs, excluding the direct connection. This naturally should result in the paths around the two common vertices. If no path is found in the expected number of steps, the graph is considered corrupted. However, this method is only available up to the (n - (q - 1) // 2)th layer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "459874eb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[hypertiling] The verbosity level is set to:\n",
      "     1 Warning\n",
      " >>> 2 Status\n",
      "     3 Debug\n",
      "     4 Develop\n",
      "[hypertiling] Status: Parameter n is interpreted as number of reflective layers. Compare documentation.\n",
      "[hypertiling] Status: Integrity can only be ensured for the first n - q // 2 layer and thus layer 9\n",
      "|>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>| Controlling nbrs for 4184 / 4184[hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: \n",
      "|>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>| Bidirectional search for cell 792 / 792[hypertiling] Status: hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: [hypertiling] Status: \n",
      "[hypertiling] Status: Integrity ensured!\n"
     ]
    }
   ],
   "source": [
    "import hypertiling.ion as ion\n",
    "\n",
    "# adjust verbosity level to capture function output\n",
    "ion.set_verbosity_level(\"Status\")\n",
    "\n",
    "p, q, n = 4, 5, 12\n",
    "\n",
    "graph = HyperbolicGraph(p, q, n, kernel=\"GRC\")\n",
    "graph.check_integrity()"
   ]
  }
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