Simu_brinicle.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Code de simulation : Brinicle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: matplotlib in ./.venv/lib/python3.9/site-packages (3.9.0)\n",
      "Requirement already satisfied: contourpy>=1.0.1 in ./.venv/lib/python3.9/site-packages (from matplotlib) (1.2.1)\n",
      "Requirement already satisfied: cycler>=0.10 in ./.venv/lib/python3.9/site-packages (from matplotlib) (0.12.1)\n",
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      "Requirement already satisfied: numpy>=1.23 in ./.venv/lib/python3.9/site-packages (from matplotlib) (2.0.0)\n",
      "Requirement already satisfied: packaging>=20.0 in ./.venv/lib/python3.9/site-packages (from matplotlib) (24.1)\n",
      "Requirement already satisfied: pillow>=8 in ./.venv/lib/python3.9/site-packages (from matplotlib) (10.3.0)\n",
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      "Requirement already satisfied: six>=1.5 in ./.venv/lib/python3.9/site-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n",
      "Note: you may need to restart the kernel to use updated packages.\n",
      "Requirement already satisfied: pandas in ./.venv/lib/python3.9/site-packages (2.2.2)\n",
      "Requirement already satisfied: numpy>=1.22.4 in ./.venv/lib/python3.9/site-packages (from pandas) (2.0.0)\n",
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      "Requirement already satisfied: six>=1.5 in ./.venv/lib/python3.9/site-packages (from python-dateutil>=2.8.2->pandas) (1.16.0)\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install matplotlib\n",
    "%pip install pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Les fonctions utilisées :\n",
    "\"???????????????????????????????????????????????????????\"\n",
    "#\n",
    "# =============================================================================\n",
    "# Pour commencer il faut décrire les différents phénomènes qui rentrent en jeu :\n",
    "#\n",
    "# - Le déplacement de matière : il y a de la diffusion, de la convection, l'action du poids\n",
    "# - Le déplacement de chaleur : par convection, par diffusion et par changement d'état\n",
    "# - Des changements d'états\n",
    "\n",
    "\n",
    "# Fonctions de déplacement d'éléments\n",
    "\n",
    "def Depl_Vert(A,i,j): #déplacement vertical\n",
    "    A[i+1][j]=A[i][j]\n",
    "    return A\n",
    "\n",
    "def Depl_D(A,i,j): #déplacement vers la droite\n",
    "    A[i][j+1]=A[i][j]\n",
    "    return A\n",
    "\n",
    "def Depl_G(A,i,j): #déplacement vers la gauche\n",
    "    A[i][j-1]=A[i][j]\n",
    "    return A\n",
    "\n",
    "\n",
    "\n",
    "# Pour pouvoir caractériser les déplacements de matières, de chaleur, et les\n",
    "# changements d'état on utilise un tableau qui contient des triplets\n",
    "# Le premier élément du triplet contient la présence ou non d'eau, le deuxième\n",
    "# élément contient la température de l'élément, le troisième l'état\n",
    "# physique de l'élément\n",
    "\n",
    "# Légende :\n",
    "# 1er triplet :\n",
    "# 0 si il n'y a pas d'eau\n",
    "# 1 si il y a de l'eau\n",
    "#\n",
    "# 2ème triplet :\n",
    "# Température\n",
    "#\n",
    "# 3ème triplet :\n",
    "# G si l'eau est sous forme glace\n",
    "# L si l'eau est liquide pure\n",
    "# B si l'eau est liquide très salée (saumure)\n",
    "\n",
    "#A=[[[1,0,'L'],[1,0,'L'],[1,0,'G'],[1,0,'L']],[[1,1,'L'],[1,1,'L'],[1,0,'L'],[1,0,'L']],[[1,2,'L'],[1,2,'L'],[1,2,'L'],[1,2,'L']],[[1,2,'L'],[1,2,'L'],[1,2,'L'],[1,2,'L']]]\n",
    "\n",
    "\n",
    "# Fonctions de déplacement de chaleur\n",
    "\n",
    "# On modélise le déplacement de chaleur avec :\n",
    "# Le modèle de Newton (conducto-convection) pour les transferts entre la glace et\n",
    "# l'eau et l'eau salée et l'eau\n",
    "\n",
    "def Conducto_Conv(A,i,j,hcc=10**-3,l=1):\n",
    "    L=[0,0]\n",
    "    n = len(A)\n",
    "    if j == 0:\n",
    "        L[1] = hcc*l**2*(A[i][j][0]-A[i][j+1][1])\n",
    "    elif j == n-1:\n",
    "        L[0] = hcc*(A[i][j][0]-A[i][j-1][1])*l**2\n",
    "    else :\n",
    "        L[1] = hcc*(A[i][j][0]-A[i][j+1][1])*l**2\n",
    "        L[0] = hcc*(A[i][j][0]-A[i][j-1][1])*l**2\n",
    "    return L\n",
    "\n",
    "# Les transferts thermiques diffusifs entre 2 éléments de température différente\n",
    "# Les effets convectifs sont inclus dans le déplacement d'éléments (les particules\n",
    "# se déplacent avec leurs caractéristiques) et ne concernent que le cylindre\n",
    "\n",
    "def Diff_Th(A,i,j,lbda = -0.6): \n",
    "    L = 0\n",
    "    n = len(A)\n",
    "    if i == 0 and j ==0:\n",
    "        L = lbda*(A[i][j][0]-A[i+1][j][0])/1 + lbda*(A[i][j][0]-A[i][j+1][0])/1\n",
    "    elif i == 0 and j == n-1:\n",
    "        L = lbda*(A[i][j][0]-A[i+1][j][0])/1 + lbda*(A[i][j][0]-A[i][j-1][0])/1\n",
    "    elif i == n-1 and j == 0:\n",
    "        L = lbda*(A[i][j][0]-A[i-1][j][0])/1 + lbda*(A[i][j][0]-A[i][j+1][0])/1\n",
    "    elif i == n-1 and j == n-1:\n",
    "        L = lbda*(A[i][j][0]-A[i-1][j][0])/1 + lbda*(A[i][j][0]-A[i][j-1][0])/1\n",
    "    elif i == 0:\n",
    "        L = lbda*(A[i][j][0]-A[i+1][j][0])/1 + lbda*(A[i][j][0]-A[i][j+1][0])/1 + lbda*(A[i][j][0]-A[i][j-1][0])/1\n",
    "    elif i == n-1:\n",
    "        L = lbda*(A[i][j][0]-A[i-1][j][0])/1 + lbda*(A[i][j][0]-A[i][j+1][0])/1 + lbda*(A[i][j][0]-A[i][j-1][0])/1\n",
    "    elif j == 0:\n",
    "        L = lbda*(A[i][j][0]-A[i+1][j][0])/1 + lbda*(A[i][j][0]-A[i][j+1][0])/1 + lbda*(A[i][j][0]-A[i-1][j][0])/1\n",
    "    elif j == n-1:\n",
    "        L = lbda*(A[i][j][0]-A[i+1][j][0])/1 + lbda*(A[i][j][0]-A[i][j-1][0])/1 + lbda*(A[i][j][0]-A[i-1][j][0])/1\n",
    "    else:\n",
    "        L = lbda*(A[i][j][0]-A[i+1][j][0])/1 + lbda*(A[i][j][0]-A[i][j+1][0])/1 + lbda*(A[i][j][0]-A[i][j-1][0])/1 + lbda*(A[i][j][0]-A[i-1][j][0])/1\n",
    "    return L\n",
    "\n",
    "# Fonctions de changement d'état\n",
    "# On a plusieurs types de changement d'état, la solidification de l'eau,\n",
    "# La liquéfaction de la glace, la salinisation de l'eau liquide, la dessalinisation\n",
    "# de l'eau salée\n",
    "\n",
    "# Les transformations que l'on considère sont :\n",
    "# La solidification\n",
    "def Solidification(A,i,j):\n",
    "    A[i][j][1]='G'\n",
    "\n",
    "# La liquéfaction\n",
    "def Liquéfaction(A,i,j):\n",
    "    A[i][j][1]='L'\n",
    "\n",
    "# La salinisation\n",
    "def Salinisation(A,i,j):\n",
    "    A[i][j][1]='B'\n",
    "\n",
    "# On considère donc qu'une fois que l'eau est salinisée elle ne peut plus être dessalinisée (première hypothèse)\n",
    "\n",
    "def Evo(A,eps=0.001, c_eau_liquide = 4180, c_glace = 2100, c_eau_salee = 3900):\n",
    "    n=len(A)\n",
    "    [A,Q_matrice] = ChgtEtat(A, eps)\n",
    "    for i in range(n):\n",
    "        for j in range(n):\n",
    "            Q = Diff_Th(A,i,j) + Q_matrice[i][j] #Q, transfert thermique\n",
    "            Tij=A[i][j][0] #temperature position i,j\n",
    "            if A[i][j][1] == 'L':\n",
    "                Tij += Q/c_eau_liquide\n",
    "            elif A[i][j][1] == 'G':\n",
    "                Tij += Q/c_glace\n",
    "            elif A[i][j][1] == 'B':\n",
    "                Tij += Q/c_eau_salee\n",
    "            A[i][j][0] = Tij\n",
    "    \n",
    "    A = descente_B(A)\n",
    "    return A #return A modifié pour chaques positions i,j en fonction de Q\n",
    "\n",
    "#%% CHANGEMENT D'ETAT\n",
    "\n",
    "def ChgtEtat(A,eps=0.001, dtau = 0.005, Lfus = 3.34E5):\n",
    "    n=len(A)\n",
    "    Q=[[0 for i in range(n)]for j in range(n)]\n",
    "    for i in range(n):\n",
    "        for j in range(n):\n",
    "            if A[i][j][0]<-eps and A[i][j][1] == 'L': #si T petit (<-eps) et liquide\n",
    "                A[i][j][1] = 'G'                     #alors ça devient de la glace\n",
    "                Q[i][j] = -Lfus*dtau                 \n",
    "            elif A[i][j][0]>eps and A[i][j][1] == 'G' : #sinon si c'est de la glace et la temperature est >eps\n",
    "                A[i][j][1] = 'L'                        #alors ca devient liquide\n",
    "                Q[i][j] = Lfus*dtau\n",
    "\n",
    "    return [A,Q]\n",
    "\n",
    "def descente_B(A,eps=0.001, dtau = 0.005, Lfus = 3.34E5):\n",
    "    n=len(A)\n",
    "    for i in range(n-1):\n",
    "        for j in range(n):\n",
    "            if A[i][j][1] == 'B':\n",
    "                A[i+1][j][1] = 'B'\n",
    "                A[i+1][j][0] = A[i][j][0]\n",
    "    return A\n",
    "\n",
    "\n",
    "def simulation_jolie(A, disp = \"State\"):\n",
    "    n = len(A) \n",
    "    for k in range(1000):\n",
    "        A = Evo(A)\n",
    "        #show matrix\n",
    "        for i in range(n):\n",
    "            for j in range(n):\n",
    "                if disp == \"State\" and k%50==0:\n",
    "                    ax = plt.gca()\n",
    "                    # change figure axis x to 0 to 3 and y to 0 to 3\n",
    "                    ax.set_xlim(0, n)\n",
    "                    ax.set_ylim(0, n)\n",
    "                    ax.imshow([[A[i][j][0] for j in range(len(A))] for i in range(len(A))], cmap='hot', interpolation='nearest')\n",
    "                    if A[i][j][1] == 'G':\n",
    "                        ax.add_patch(plt.Rectangle((n-1-j, n-1-i), 1, 1, fill=True, color='cyan'))\n",
    "                    elif A[i][j][1] == 'L':\n",
    "                        ax.add_patch(plt.Rectangle((n-1-j, n-1-i), 1, 1, fill=True, color='blue'))\n",
    "                    elif A[i][j][1] == 'B':\n",
    "                        ax.add_patch(plt.Rectangle((n-1-j, n-1-i), 1, 1, fill=True, color='green'))\n",
    "                elif disp==\"Temperature\" and k%50==0:\n",
    "                    df = pandas.DataFrame(A)\n",
    "                    display(df)\n",
    "        if disp == \"State\" and k%50==0:\n",
    "            plt.pause(0.1)\n",
    "            plt.show()  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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   ],
   "source": [
    "A = [[[-1,'G'],[-3,'B'],[-1,'G']],\n",
    "     [[-0.05,'G'],[-0.05,'G'],[-0.05,'G']],\n",
    "     [[0,'L'],[0,'L'],[0,'L']]]\n",
    "\n",
    "simulation_jolie(A, disp = \"Temperature\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = [[[-1,'G'],[-1,'G'],[-1,'G'],[-1,'G'],[-1,'G'],[-10,'B'],[-1,'G'],[-1,'G'],[-1,'G'],[-1,'G'],[-1,'G']],\n",
    "     [[-0.75,'G'],[-0.75,'G'],[-0.75,'G'], [-0.75,'G'], [-0.75,'G'], [-0.75,'G'],[-0.75,'G'],[-0.75,'G'], [-0.75,'G'], [-0.75,'G'], [-0.75,'G']],\n",
    "     [[-0.05,'G'],[-0.05,'G'],[-0.05,'G'], [-0.05,'G'], [-0.05,'G'], [-0.05,'G'],[-0.05,'G'],[-0.05,'G'], [-0.05,'G'], [-0.05,'G'], [-0.05,'G']],\n",
    "     [[0,'G'],[0,'G'],[0,'G'], [0,'G'], [0,'G'], [0,'G'],[0,'G'],[0,'G'], [0,'G'], [0,'G'], [0,'G']],\n",
    "     [[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L'],[0,'L']],\n",
    "     [[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L'],[0.5,'L']],\n",
    "     [[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L'],[1,'L']],\n",
    "     [[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L'],[1.5,'L']],\n",
    "     [[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L'],[2,'L']],\n",
    "     [[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L'],[2.5,'L']],\n",
    "     [[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L'],[3,'L']]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8Jl5skPzY4cOGniFAVxWyHnCRDzt82CB5sSOZLcWLrFdIvRNS7hnrFfLiMfFig+THDh829AwBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwEHqCGhgaNHj1a+fn56tevn6ZMmaKjR48GfRgAQJoLPECNjY2qqanRnj17tG3bNrW3t+vRRx9VW1tb0IcCAKSxzKA/4datW7t8vGbNGvXr108HDhzQr3/966APBwBIU4EH6Mei0agkqW/fvt3enkgklEgkOj+OxWKpngT8PPktUu+49QopWiK151ivAK5bSt+E0NHRodraWlVUVGjYsGHd3qehoUGRSKTzUlZWlspJ18hZD7jIhx0+bJC82BEv9CNAuWel9jzrFfLiMfFig+THDh829ExKA1RTU6MjR45o48aNV7xPfX29otFo56W5uTmVk65RyHrART7s8GGD5MWOZLYUL7JeIfVOSLlnrFfIi8fEiw2SHzt82NAzKfsW3MyZM7Vlyxbt3LlTAwYMuOL9wuGwwuFwqmYAADwVeICcc/rjH/+oTZs2aceOHSovLw/6EACAm0DgAaqpqdH69ev19ttvKz8/X62trZKkSCSinBx+YAoA+E7gPwNatWqVotGofvOb36ikpKTz8uabbwZ9KABAGkvJt+AAAPgp/C44AIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAgGuV3yL1jluvkKIlUnuO9QrguhGgq3LWAy7yYYcPGyQvdsQL/QhQ7lmpPc96hbx4TLzYIPmxw4cNPUOAripkPeAiH3b4sEHyYkcyW4oXWa+Qeiek3DPWK+TFY+LFBsmPHT5s6BkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADARMoCtHLlSt15553Kzs7W2LFjtW/fvlQdCgCQhlISoDfffFN1dXV68cUXdfDgQY0YMULjx4/X6dOnU3E4AEAaSkmAli5dqqeeekrTp0/XkCFDtHr1auXm5ur1119PxeEAAGkoM+hP+O233+rAgQOqr6/vvK5Xr16qrKzU7t27L7t/IpFQIpHo/DgajV78r1jQ04DgfJuUvrEeIanjgvi3Av989zXpnLvqvQIP0JkzZ5RMJlVcXNzl+uLiYv33v/+97P4NDQ2aP39+N5+pLOhpQHDWWA/43sPWA4ArOn/+vCKRyBVvDzxA16q+vl51dXWdH587d06DBg3SyZMnrzr8VhGLxVRWVqbm5mYVFBRYzzHFubiEc3EJ5+ISX86Fc07nz59XaWnpVe8XeICKioqUkZGhU6dOdbn+1KlT6t+//2X3D4fDCofDl10fiURu+S+mHyooKOB8XMS5uIRzcQnn4hIfzkVPXkAE/iaErKws/epXv9L27ds7r+vo6ND27dv1wAMPBH04AECaSsm34Orq6lRdXa1Ro0ZpzJgxWrZsmdra2jR9+vRUHA4AkIZSEqAnnnhC//vf/zRv3jy1trbqvvvu09atWy97Y0J3wuGwXnzxxW6/LXcr4nxcwrm4hHNxCefiknQ7FyH3U++TAwAgBfhdcAAAEwQIAGCCAAEATBAgAIAJ7wLEn3H47tcTjR49Wvn5+erXr5+mTJmio0ePWs/ywqJFixQKhVRbW2s9xUxLS4umTZumwsJC5eTkaPjw4dq/f7/1rBsumUxq7ty5Ki8vV05Oju666y4tWLDgJ3//2M1g586dmjRpkkpLSxUKhbR58+YutzvnNG/ePJWUlCgnJ0eVlZU6fvy4zdir8CpA/BmH7zQ2NqqmpkZ79uzRtm3b1N7erkcffVRtbW3W00w1NTXplVde0b333ms9xcxXX32liooK9e7dW++++64+/vhj/f3vf1efPn2sp91wixcv1qpVq/Tyyy/rk08+0eLFi7VkyRKtWLHCelrKtbW1acSIEVq5cmW3ty9ZskTLly/X6tWrtXfvXuXl5Wn8+PH65hsffoPuDziPjBkzxtXU1HR+nEwmXWlpqWtoaDBcZe/06dNOkmtsbLSeYub8+fPu7rvvdtu2bXMPP/ywmz17tvUkE88//7x76KGHrGd4YeLEie7JJ5/sct1vf/tbV1VVZbTIhiS3adOmzo87Ojpc//793V//+tfO686dO+fC4bDbsGGDwcIr8+YV0Pd/xqGysrLzuqv9GYdbyfd/oqJv377GS+zU1NRo4sSJXb4+bkXvvPOORo0apccff1z9+vXT/fffr9dee816lokHH3xQ27dv17FjxyRJH3zwgXbt2qUJEyYYL7N14sQJtba2dvm3EolENHbsWO+eS81/G/b3rvXPONwqOjo6VFtbq4qKCg0bNsx6jomNGzfq4MGDampqsp5i7rPPPtOqVatUV1enF154QU1NTZo1a5aysrJUXV1tPe+GmjNnjmKxmAYPHqyMjAwlk0ktXLhQVVVV1tNMtba2SlK3z6Xf3+YLbwKE7tXU1OjIkSPatWuX9RQTzc3Nmj17trZt26bs7GzrOeY6Ojo0atQovfTSS5Kk+++/X0eOHNHq1atvuQC99dZbWrdundavX6+hQ4fq8OHDqq2tVWlp6S13LtKVN9+Cu9Y/43ArmDlzprZs2aL33ntPAwYMsJ5j4sCBAzp9+rRGjhypzMxMZWZmqrGxUcuXL1dmZqaSyaT1xBuqpKREQ4YM6XLdPffco5MnTxotsvPss89qzpw5mjp1qoYPH67f/e53euaZZ9TQ0GA9zdT3z5fp8FzqTYD4Mw6XOOc0c+ZMbdq0Sf/5z39UXl5uPcnMuHHj9NFHH+nw4cOdl1GjRqmqqkqHDx9WRkaG9cQbqqKi4rK35B87dkyDBg0yWmQnHo+rV6+uT2EZGRnq6OgwWuSH8vJy9e/fv8tzaSwW0969e/17LrV+F8QPbdy40YXDYbdmzRr38ccfuxkzZrjbb7/dtba2Wk+7of7whz+4SCTiduzY4b788svOSzwet57mhVv5XXD79u1zmZmZbuHChe748eNu3bp1Ljc31/3zn/+0nnbDVVdXuzvuuMNt2bLFnThxwv3rX/9yRUVF7rnnnrOelnLnz593hw4dcocOHXKS3NKlS92hQ4fc559/7pxzbtGiRe722293b7/9tvvwww/d5MmTXXl5ufv666+Nl3flVYCcc27FihVu4MCBLisry40ZM8bt2bPHetINJ6nbyxtvvGE9zQu3coCcc+7f//63GzZsmAuHw27w4MHu1VdftZ5kIhaLudmzZ7uBAwe67Oxs98tf/tL96U9/colEwnpayr333nvdPkdUV1c75757K/bcuXNdcXGxC4fDbty4ce7o0aO2o7vBn2MAAJjw5mdAAIBbCwECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABg4v8D2aH+e+5lEnQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "simulation_jolie(A, disp = \"State\")"
   ]
  }
 ],
 "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}