{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bee0b6c5-cfad-49d8-8ff4-d9779bb6ee2d",
   "metadata": {},
   "source": [
    "# Percolation de Bernoulli"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cf7da9ba-fdb9-4ce7-8f30-8b0fecbff050",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import numpy.random as random\n",
    "import scipy.stats as scs\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx\n",
    "import seaborn as sns\n",
    "sns.set_theme()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d8443724-3221-4dae-9143-d954ba26afe7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# (1,2,3)\n",
    "\n",
    "def Cgraph(n):\n",
    "    return nx.grid_2d_graph(range(-n, n+1), range(-n, n+1))\n",
    "\n",
    "def percolation2(n, p):\n",
    "    G = Cgraph(n)\n",
    "    G.remove_edges_from([e for e in G.edges() if scs.bernoulli(1-p).rvs()])\n",
    "    return G\n",
    "\n",
    "def dessin_percolation(n, p, with_cc_0=False):\n",
    "    fig, ax0 = plt.subplots(figsize=(12,12))\n",
    "    G = percolation(n, p)\n",
    "    pos0 = {i:np.array([i[0], i[1]]) for i in G.nodes}\n",
    "    nx.draw_networkx(G, pos=pos0, ax=ax0, with_labels=False, node_size=30/n, node_color=\"k\")\n",
    "    if with_cc_0:\n",
    "        c = nx.node_connected_component(G, (0, 0))\n",
    "        H = G.subgraph(list(c))\n",
    "        pos1 = {i:np.array([i[0], i[1]]) for i in H.nodes}\n",
    "        nx.draw_networkx(H, pos=pos1, ax=ax0, with_labels=False, node_size=40/n, width=1.5, node_color=\"purple\", edge_color=\"purple\")\n",
    "    ax0.set_aspect(1)\n",
    "    ax0.set_axis_off()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "abb89763-81ef-4453-9d98-295db5735f0b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dessin_percolation(25, 0.2, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1dc953de-7b08-45c4-aff7-8363e5ab601b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dessin_percolation(25, 0.3, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "05bab6a5-cca1-4b20-a961-32a62abfa03f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dessin_percolation(25, 0.4, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "705707da-24a9-4b46-9221-0789adf59bef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dessin_percolation(25, 0.5, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "82e60079-eb3f-4bf9-9ce0-d7a231738156",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dessin_percolation(25, 0.6, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "a88c6a00-fc58-428c-acee-82cdda44cdcc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dessin_percolation(25, 0.7, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "2edbdbc9-d82b-4514-9313-c273ff929d8f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# (4)\n",
    "\n",
    "def cc_zero(n, p):\n",
    "    return nx.node_connected_component(percolation(n, p), (0, 0))\n",
    "\n",
    "def cc_zero_touch_edge(n, p):\n",
    "    cc = cc_zero(n, p)\n",
    "    T = np.array([[abs(x[0]) for x in cc], [abs(x[1]) for x in cc]])\n",
    "    return (np.max(T) >= n)\n",
    "    \n",
    "def proba_connexion(n, p, N=100):\n",
    "    return np.mean(np.array([cc_zero_touch_edge(n, p) for _ in range(N)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e058fffb-5f50-4b2c-93e2-19d65d8daf58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[np.float64(0.0),\n",
       " np.float64(0.0),\n",
       " np.float64(0.0),\n",
       " np.float64(0.7),\n",
       " np.float64(0.94),\n",
       " np.float64(1.0)]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[proba_connexion(30, p) for p in [0.2,0.3,0.4,0.5,0.6,0.7]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1faec307-758b-49e2-ae5b-8d26830f4ff4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# (5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "054b6e25-b0ad-4f2e-895f-b8976fc80c19",
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_threshold(n):\n",
    "    edge_thresholds = random.random(size=(2*n+1)*(4*n))\n",
    "    dvertical = {(i, j): edge_thresholds[(i+n)*2*n + j] for i in range(-n, n+1) for j in range(-n, n)}\n",
    "    dhorizontal = {(i, j): edge_thresholds[(i+3*n)*(2*n+1) + j] for i in range(-n, n) for j in range(-n, n+1)}\n",
    "    thresholds = np.sort(edge_thresholds)\n",
    "    a, b = 0, 4*n*(2*n+1) - 1\n",
    "    while b-a > 1:\n",
    "        mid = a + (b-a)//2\n",
    "        G = nx.Graph()\n",
    "        for (i, j) in dvertical.keys():\n",
    "            if dvertical[(i, j)] <= thresholds[mid]:\n",
    "                G.add_edge((i, j), (i, j+1))\n",
    "        for (i, j) in dhorizontal.keys():        \n",
    "            if dhorizontal[(i, j)] <= thresholds[mid]:\n",
    "                G.add_edge((i, j), (i+1, j))\n",
    "        G.add_node((0,0))        \n",
    "        C = nx.node_connected_component(G, (0, 0))         \n",
    "        T = np.array([[abs(x[0]) for x in C], [abs(x[1]) for x in C]])\n",
    "        if np.max(T) >= n:\n",
    "            b = mid\n",
    "        else:\n",
    "            a = mid\n",
    "    return thresholds[a]\n",
    "\n",
    "def graph_proba_connexion(n, N=100):\n",
    "    fig, ax = plt.subplots()\n",
    "    alea = [find_threshold(n) for _ in range(N)]\n",
    "    ax.ecdf(alea)\n",
    "    ax.set_ylim(0, 1)\n",
    "    ax.set_xlim(0, 1)\n",
    "    ax.set_xticks([0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "e5c8d6db-cb86-424f-b4d0-a069fc2513bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_proba_connexion(100, 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "82159f89-4d09-4940-bc89-42bd4caf5b77",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}