{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction to Montecarlo Method\n", "\n", "In this notebook, we will calculate value of ```pi``` by implementation of Monte Carlo Simulation" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import random\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pylab\n", "import seaborn as sns\n", "sns.set()\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Lets calculate the value of PI directly:\n", "In this method we randomly generate the points and calculate the ratio for value of PI." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.174\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_trials = 10000\n", "n_hits = 0\n", "plt.figure(figsize = [10,10])\n", "for iter in range(n_trials):\n", " x = random.uniform(-1.0, 1.0)\n", " y = random.uniform(-1.0, 1.0)\n", " if x**2 + y**2 < 1.0: \n", " plt.scatter(x,y,color = \"blue\",marker='.')\n", " n_hits += 1\n", " else:\n", " plt.scatter(x,y,color = \"red\",marker ='.')\n", "print(4.0 * n_hits / float(n_trials))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Lets construct the function to run above code multiple time" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def direct_pi(N):\n", " n_hits = 0\n", " for i in range(N):\n", " x = random.uniform(-1.0, 1.0)\n", " y = random.uniform(-1.0, 1.0)\n", " if x ** 2 + y ** 2 < 1.0:\n", " n_hits += 1\n", " computed_pi = 4.0*n_hits / float(n_trials) \n", " return computed_pi" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_runs = 100\n", "n_trials = 1000\n", "plt.figure(figsize = [12,3])\n", "for run in range(n_runs):\n", " pi = direct_pi(n_trials) \n", " plt.scatter(run,pi)\n", "plt.ylim([0,4.0])\n", "plt.xlabel(\"No of Run\")\n", "plt.ylabel(\"Value of Pi\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Marcob chain Calculation of PI:\n", "In this method we perform a random walk and accept or reject the move." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.2256\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x, y = 1.0, 1.0\n", "delta = 0.1\n", "n_trials = 5000\n", "n_hits = 0\n", "\n", "plt.figure(figsize = [10,10])\n", "for i in range(n_trials):\n", " del_x = random.uniform(-delta, delta)\n", " del_y = random.uniform(-delta, delta)\n", " \n", " '''to make sure they are inside square'''\n", " if (abs(x + del_x) < 1.0 and abs(y + del_y) < 1.0):\n", " x = x + del_x\n", " y = y + del_y\n", " \n", " '''to make sure they are inside circle'''\n", " if x**2 + y**2 < 1.0:\n", " n_hits += 1 \n", " plt.scatter(x,y,color = \"blue\", marker='.')\n", " else:\n", " plt.scatter(x,y,color = \"red\", marker='.')\n", " \n", "print(4.0 * n_hits / float(n_trials))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Lets construct the function to run above code multiple time." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def markov_pi(N, delta): \n", " x, y = 1.0, 1.0\n", " n_hits = 0\n", " for i in range(N):\n", " del_x, del_y = random.uniform(-delta, delta),\\\n", " random.uniform(-delta, delta)\n", " \n", " if abs(x + del_x) < 1.0 and abs(y + del_y) < 1.0:\n", " x, y = x + del_x, y + del_y\n", " if x**2 + y**2 < 1.0: n_hits += 1\n", " computed_pi = 4.0 * n_hits / float(n_trials) \n", " return computed_pi" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAADWCAYAAAAjKh+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3deZgcZ33g8e8cmtFtnbZ84EvIr4XwIRv5NsIGYwjmsgnhxmSBXGwSEsJmE3Yh7MKzOYCEkITsJnkE4VyQwzoyxjbYCIwvGcsYjP3a8SF8HyPJ0kjWaEbT+0fPiJmeqlZXq6qrZ+b7eR4/Vlcf9fZU11u/et/f+74dlUoFSZIkSb/UWXYBJEmSpHZjkCxJkiTVMEiWJEmSahgkS5IkSTUMkiVJkqQaBsmSJElSjcKD5BDCX4UQ1hW9H0mSJCkvhQbJIYSXA+8uch+SJElS3rqL+uAQwiLgE8AngVMyvLUXWAM8AewroGiSJEkSQBdwOLAJGBj7RGFBMvCPwJ8CL8j4vjXAD/MvjiRJkpTofODGsRsKCZJDCO8FHokxfi+EcHnGtz8BsG3bLoaHW7tk9uLFc+nr62/pPlUOj/X04HGePjzW04PHeXpo5XHu7Oxg4cI5MBJ/jlVUS/KvAYeHEO4EFgFzQwifiTF+sIH37gMYHq60PEge3a+mB4/19OBxnj481tODx3l6KOE4T0jxLSRIjjFeNPrvkZbklzUYIEuSJEmlc55kSZIkqUaRA/cAiDGuA9YVvR9JkiQpL7YkS5IkSTUMkiVJkqQaBsmSJElSDYNkSZIkqYZBsiRJklTDIFmSJEmqYZAsSZIk1TBIliRJkmoYJEuSJEk1DJIlSZKkGgbJkiRJUg2DZEmSJKmGQbIkSZJUwyBZkiRJqmGQLEmSJNUwSJYkSZJqGCRLkiRJNbrLLoA0HWy5ZxN33biB3Tu3MXveQk4+7xKOWbmm7GJJkqQUBsltauDBrey540kquwbpmDODmacto/f4RWUXS03Ycs8mNl33NfYNDQKwe+c2Nl33NQADZbWlHbfcxLNXrGdoax/dixaz5NLLmH/WOWUXS5JayiC5DQ08uJXnb3oU9lUAqOwarD4GA+VJ6K4bN+wPkEftGxrkrhs3GCQX5Oa7n+SKjQ+wdccAi+b3cuna5Zy9alnZxZoUdtxyE099cR2VvXsBGNrax1NfXAcwqQLlvfffxN5N66n099ExdzE9ay6jZ8XkKb+k8hkkt6E9dzy5P0Deb1+FPXc8aZA8Ce3euS3T9snmvruf4taND9G/Y4C583s5c+1xnLDqsLrvKbKn5Oa7n+QLV9/L3qFhAPp2DPCFq+8FMFBuwLNXrN8fII+q7N3Ls1esnzRB8t77b2Lgh+tgqPo9Kv191cdgoNwm+rf+lOcev559g8/RNeMQDjniQuYuOqnsYk0w1VPlmqm/pxOD5DZU2TWYaXs9m5/dwXWP9bF97xALerq56MjFrF4y/2CL2FIPPng/mzdvYteufubMmcvq1Ws4/vgVZRerYbPnLUwMiGfPW9jU57XTxeW+u59i49X3MTQSkPbvGGDj1fcBpFa0RfeUXLHxgf0B8qi9Q8NcsfGBSRUkl3Wch7b2ZdreCvXqsaReg5N+sn5/gLzf0F72blpfeJBsqtyB9W/9Kdt+sYFKpXpN2zf4HNt+sQGgrQLlVqXKlXWdbqb+nm4Mkg+gjC67jjkzEgPijjkzMn3O5md38K0tTzM4XA1Gtu8d4ltbngaYNIHygw/ez803/5B9+4YA2LWrn5tv/iHApAmUTz7vknEVLUBX9wxOPu+SzJ/VbheXWzc+tL+CHTU0NMytGx9KrWSL7inp2zGQaXs7KvM4dy9anBgQdy9aXOh+09Srx/Y8tTux1+Av5vfRkfBZlf5iA31T5Rrz3OPX7/9tj6pUBnnu8evbKkhuRarcgX7fV2x8gL4dAywuIG2smfp7ujFIrqOsLruZpy0bV9EC0NXBzNOynRzXPda3/8QbNThc4brH+iZNkLx586b9AfKoffuG2Lx5U6lBcpaBTaOVaR5ddu12celPCTzTtkO+PSVJFs/vTQyIF8/vzeXzWyHP45z1Rn/JpZeNy0kG6OjpYcmll2X7EjmpV48986PHE3sNnqvMZUFH/4TP6phbbKCf9w3gVOgJTLJv8LlM28vSilS5tN/3N297mL6fb01MGzu958FcGu+aqb+nG4PkOvZuSu+yu3PeTK584DtsG9jOwt4FvG75qzhj2WmZ91Ev3+lgu+y27x3KtL0d7do18UJXb3srNDOw6ZiVa3JpeWi3i8vc+b2JFercOgFpXj0laS5du3xc6yJAT3cnl65dnvqe2568I5fzGfLJYWzmOI+mHYxtdTq958HMN/qjv+F2md2iXj2W1jtw5a5TedeC28bX39099KwpNtDPO1Wu3XoC037bWVNMumYckvhb7ppxSOYypd0EZj2nk3Jz806VS5L2+37qvm0MJ9wAxh9cw4t7f5RL4129+jtrPTbZ0yLTGCTXkdY1dwf9XHHvegaHqxXftoHtfOXe9QCZLqwHync62O65BT3diSfggp7Jc9jnzJmbGBDPmTO3hNJUtWpgU1Kl05vjxSUPZ649blxOG0B3dydnrj0u9T159ZSkGe2ObHR2i9uevIOvNHE+J11Uezt/kXpOL+td3nAgUS+ISGpdTEs7OGHpt+hpIjd3/lnntM0gvXr12GBKr8HDM1fSe/6LcgmessjzBrBeC3rR3fBJ0q5XM57tZPaWGZlSTA454sJx6UQAHR0zOOSIC1P3n5R7nnYTePuuR/i/2+9q+JxOy8096ZSX8ug9384lVS5N2u97eM++xNdfwG255dun1d8rVuxi03Xfbrgee4y+zGmRk6WXZPJESyXomLs4MVC+Zsn8/SffqMHhQa584DuplW3SBTXeVGy+00VHLh7XEgEwo7ODi45srsuxyIsLJA94Wb16zbiTD6Crq5vVq1szujjpOy9owcCmtFzsc05/Ed1Dtzd1cTnYC2pSiskJI4FUltHRoxfOIgc3nb1qGWevWsbSpfN45pmddV975QPfaep8TrqoLp59TeI5/cRNd3JIb2/DgURaEPHIvFdwdULr4vabn0xMO5ixZztJyblF5+bmqV49tmftrNReg54VyyYEDc3cEGUZ/Z/nDWBaC+PjW57jC/dtyaUbPkvaWFp+bucDA9BRE0ocIMVkNGWo0YGpaTPWpN0EXvX07Qx2j//h1zun03Jz779/Di+96C2Fzm6R9vueN7eHnf17J7x+YeeuxM+p9PdlvkaP/o4nxiZ/n6keu2PGXZnSItuxlySNQXIdPWsuG3eXCkB3D9u7k4aEVCvcJGkX1Pmd2fOdsnRpjP7Y8rhba7a1LUlSN86y3uWJA16OPOcozj77/NTvXOQMAGnf+TcOmUfXcxMDrzwHNqXlYt9x9zNcfMElB31xgWzTodVLMTnhrHMyD/LoPX5R2wxkSjtv07ZD+kV1754diQPGjulYmSlXNS2I+OojsxkcHv+7GByuJF5MAbYNz2FR18SL6mhubh5d0kUP8Klbj40812ivQdYboqyj//O8AUxrYdz94HMTfnvNdMNnTRtLuy71Mjtx+4FSTOYuOqnhujptxpq0m8DtXcmfs21ge+KNQf+O5LL27xjgmJVrcwuKk65Xq5dU/wYTeodmzk28ARycuYCehLpp85IlTfVwn7DqsAm/5c3XJB/rtHps9/DuxNenpUVOpvFSBsl1jFYstXfmC5/+fuIFdGHvgsTPSbugVnpm08HEH1davlMzMz2sXjI/lx9dvYvLiQ/vabg1Iq3L7sKl76RzX01tNxJEHP+mFyV+v6JnAEj7zj86ZQ5rbxkodGBTvVzsPC4uWadDKzPFpOi8toW9CzKdz5A+sGW4MouujucnbJ/ZmZweVC+QSDrO2x+4P/G1nTO7Ertnb+AMLuv+UWJubtYb3zKni6pXj2XpNah3Q5QUPN16R2fm0f953QCmtTAO5dQNn/WcTsvPHWA3M5kzYftoikke53Ra7nnaTeCCfbA9IbpZ/WgnT90y8cZg9oq3szthF/XGVmRV73q1eslJE3/fY24Ax/YCzut5c2Lj3bWL5zC4b3zdc6AesTRpxzqtHptV6eH5jok36mlpkZNpvJRB8gH0rDhnQgXzunkzx11cAGZ0zuB1y1+V+BlpF9RdQ6s4ZOadDec7tWqmh6SBEGkXl6X3PsFTP268NSKty65jgORu4TpBRNEzAKR9581HDfPmd11e6MCmvHKx85oOrRVz55Y13d/rlr8q0/kM6QNeKjNOpYvbJ5zTlV5IuIZkzlVNa1087ISF40bCQ7XVKbz0Ynp7ViR2wV/5o09malXNc7qosgb5pN0QpQVP/Ue/PfFz+ncMFL7IRFoL+lfmP5V4/tbrhk+S9ZxOm8pyeHkvbOlITDHJ65xOm7Em7SbwNYe+ZFxOMlTP6XN/siPxxmB534+5Z8GaTGMrsmrmejV6Azhe9fGE69Uj30r8jHo9YmnSjnVaPbay51h+Mvxgw2mRk2m8VPuVqARZl7AdvYA02k2ZdkHtmbuCNRec2HBF24qZHtKmvVu4/HC27ZvYQnb+Xc9Tqfmx12uNSOuy2zPcz6yueRO21wsi8prpIet3Xti7oPCBTc3kYicNhGhmOrSkLvglLZg7t6zp/rKez5A+4GXNyy+kt/OFE87pOb1Hp+aqZgkY01oX33DGsew55tCU3POJubmQPc0kr+miypz7PO2GKC14mrlvN3u6JqYTzJ/9OJuuu73wRSaSWtD3pMzektYNnzbtXdb5sNOmsjxi5ekMHJk8u8Xm9d/J5ZxOm7Em7SbwnBXn0P3kignndNeXPpv4+Yc+eReHvvXtha4cmufMREmNd1l7uOtJO9Zp9diKM09mNkcedD3W7HipIk37ILnZnM0zlp3WcBdGvRkAjll5WMOVar3Wxbxyc9OmvXtl3y6uWNQ74eIyZ1dy90haa0RaN86Wyj2c2HVmpgEvzUwjlGV1rrTvXK+FMau0Sna0cmm00kkbCHH6aUfw/Ru3NDwdWloX/LsvfAlzr7yhtBSTNHmNkM5yPkP6gJfq9vRz+mBHhR8oPzdLCk3WNJNmpvtLUubc52k3RGnB0/HP3MZ9R104oe6e1X03g3uKXWQizdjZWxrphk+b9q6Z+bDTprJMSzHJq2Gn/ow1yTeBSef0g3VuDI5PyM2tJ+vCMXlOe5ekmR6xeupNW5p4zWJRw+dvnuOlilZokBxC+DjwJqAC/HOM8dNF7q8ZrVjCtv4FtXFprYunrVqaW25uWtfc6mefZeY5vzvh4jJj0ZdTK52kQT5p3TiHn3Mqs3qPyjTgJes0Qmk3RGmrc6V957xm9DhQJXv88SsarnTSBkL8Yha8+9UnNjy7RVoe9vp5D/HhNksxaWaEdJ4raCYNeKknKZBopqUtr3EGWS+qzUz3l3QTWPbc51mCpxf07ODwV58woR7bfM03Ej87r0HXB5KlG76Z+bDzGqCZ5xSeWXLP0+S5UE7WhWOamfYui2Z6xJqRV859XvVY0QoLkkMIa4ELgZOBGcDPQwhXxRhjUftsRquWsM16QU2S1rrYs/vb7MspNzdt2ruOuYsTLy47Lt2TWOnsPPcN3JYwyGftq09gTZ0pdbKcfFmnEUq7Iaq3OlfWFsYs8lydq95AiLNPSbqgJqvXBT//wvJSTJJ6Sq57bG6mEdJlraBZT5kBY9aLatab/bSbwNm9s9k9MHHAcplzn9cLnuYn1N3xpmyLTLQqxSSpGx7SZzFJShvLc4Bm2VN41spzoZysC8dkvV41o8jr1XRVWJAcY9wYQrggxjgUQjhyZF/JIwtKNNmWsE1qXfzF5uZynRJX6EqZ9i6tyy6t0vl/d3QyNDT+7zo6yOedv31Wbl2SWWZ6mMqrc+U1EKKZmR7yknYTeOiCPYk9JdsHLyNptGfaDUO9FTTzmks2q7IXy2kmzSQpUEoaxLbg7jmJN4Endh3FT7qSB/kUOaVjPVmDp7QesbIHXSfJOotJngM0s6aNtUJe40maWTgmy/VK7aHQdIsY42AI4c+ADwHfAB5r9L2LF7fmInH5Jav43Dd+wsDgL6fV6Z3RxeWXrGLp0okDydrRkzMXsHfPxMCmZ+aC1O/w/R8/whe/E/d/774dA3zxO5H5v3oKp7/mt9h2w5cZ2tFH9/zFLLzg7cx78UtT97/0tRez/LUXj9vW//0Nia/t3zFQ2t916cJZPLNt4kC8X8xZxdLXnJ7pO+ehf34vQwmBe/f83sx/o8tWHsm//vQX7B3TstrT2cFlK49M/aydP/vBhO/8jtVv5B83fZm9+34ZTPZ09fCO1W9syXFbuvQ0zjxz/IX7pz/4ROKo8Hkde9hZmTXhMxbNnDGurKP/3tm/NXGflf6tqd/t6Y0/4Ol//QLDA9XjNLS1j6f/9QvMmz+LQ9ce/O9j7dqXcu211zI09MsAqru7m7VrXzpp6p+4+WZu/+7XGRqs/mZ279zG7d/9OhfOf2diGtNRexey7DWv5Ic//CE7d+5k3rx5nH/++Rx6yPNs+fkGKsNjboYe2cD8eTNZfERjgfzB/M2S6rH0/VzIvHmzuOXa9ezc3se8BYs565WXEVafnfj6ej0GRR/nq265NjGF6qqHr+U1J62d8Pp6AzSbKWvSOX2w2uHc6F17HE9f+x9UxtxQdHR3cuja43js2Ucn/L5XrlxZYmnL0/f4HTz+H1ezd892emYu4IgXvrol53NeCh+4F2P8aAjhz4F/B94H/O9G3tfX189wTVdqEVYdvYB3vSpMGBCw6ugFTec9tdrcwy5IzHWae9gFqd9h3Ya7x90YAAwM7mPdhrtZ9dvnMustq/dv3wPsyfi3qDfIpxV/16QBXW8477jEEdJvOO849hy27KC/M2RbbGHGKYcylDBSeMYph2b+Gy3v6eH1xxw64Tsv7+lJ/Kza1IOhHc/yzFX/wPHnX85bw6UTumZPnL2ytPMh6QYQ4Aw284POcyeMkH754Yv2l3Vs/mLH3EUpqUSLUr/bQ+u+tD9AHjU8MMBD675Ex4tWJ74niyVLjuKssyYulrNkyVGTpv750dXf2B8gjxoa3MtAZRczO5Lnz12y5Cje+Ma3jtv+yM/+Zn+APKoyPMgj8dsMzzhwy+PB5Ko2Y9FRL+ZXfv3F47al7b9ej0HRZX52d/LN4bO7tybuux3r7rHpU60+zqmWzmLm2UdOyLm/Z+ej41JMdu7cyTXXXMuOHc+X2oJehtq5offu2c6Wu7/Jjp17Dtii3srj3NnZkdowW2RO8onAzBjjnTHG3SGEK6jmJ7edPAYEjCqyazZNM7lORediNzPIJy9pA7recMyh+wexNTrdXxZlrs4F2QZC1Es9OONtn2qrvLa0UeEnztzOomUTbwzS/gZpK2jWS6tpxfzQWQZotqO0wWqx/zZOWXBhwzPW5DlFVrspMzc3awpVO9bd0H7LFUN+g3GnqjzXMihLkS3JxwN/FkI4j+rsFq8H/qXA/ZUu6zKfecqa61R0LnZeM3o0o96Slx8+5bjcbohqNZPLV9byzGmzmKRtL1O9UeFHLmr8xiBtBc16+chZ55KdjtKmddzRu41Z5zQ+Y03RU2SVqczc3KyzmLRr3d2OQXKSsmdvaSdT4ca3yIF73w4hnAFsBvYB62OMXytqf+2gVUv35iFtcva0+XObkceMHs0oa8nLvBZbaIV6s5i0mzxHhaeN/k+T55RRU1W9QWxZbgKLniKrbGX1GDQzNdh0q7vzVPZg3HYyFW58ix649zHgY0Xuo520oms2L2kT0ueVelCmspa8zGuxhVZoJvWgGXkt3VvWqPA8p4yaqtJW58p6nFsxRVY7asWMHpNlarDJtFxxmnab9q5MU+HGd/L88iaBydY1mzwh/eRX1pKXZebyZdVM6kFWW+7ZNK6Fsaile4tW9BLkU0G91bmymG5TZNUObDqYhaCmgsm0XHGadpz2royxUjA1bnwNknNk12x7KGvJyzJz+ZqRNfUgq7tu3DCuCx5at3SvNBlMhYFNeZpMyxXX006DccscKwWT/8bXIDlHds22j7KWvCwrl68dpc16UG/pXmk6mQoDm/I2WZYrniwm01ipdmSQnDO7ZqWqtFkP0pbulaabqTCwSe1tMo2VakedZRdA0tR08nmX0NU9fonWekv3StPNIUdcSEfH+HNksg1sUntLGxPVrmOl2o1BsqRCHLNyDWsuesv+luPZ8xay5qK3mI8sjZi76CQWHn3J/pbjrhmHsPDoSyZ1Dqfay5JLL6Ojp2fcNsdKNc50C0mFyWvWA2mqmuwDm9TeHCt1cAySJUmSpijHSjUvNUgOIZwYY7w3hJA4A3mM8Y7iiiVJkiSVp15L8l8BlwDrE56rAMcXUiJJkiSpZKlBcozxkpH/t99yYZIkSVKB6qVbLAH+AQjA9cCfxBh3t6pgkiRJUlnqTQH3f4AtwH8BDgP+vCUlkiRJkkpWLyf5hTHGNwKEEL4P3NqSEkmSJEklq9eSvH+x7xjj88C+4osjSZIkla9ekNxR87hSZEEkSZKkdlEv3eLQEMIfpD2OMX66uGJJkiRJ5akXJF8HnJTy2FZlSZIkTVn15kl+TysLIkmSJLWLejnJkiRJ0rRkkCxJkiTVSA2SQwhvGPl/b+uKI0mSJJWvXkvy/xj5/82tKIgkSZLULurNbrEjhHAfcGQI4a7aJ2OMJxdXLEmSJKk89YLkVwGrgX8G/nNriiNJkiSVr94UcDuBH4QQXgM8DpwOzABuHXlOkiRJmpIamd3iEOA+4K+BTwNbQgjnFFoqSZIkqUSNBMmfAt4eY1w9kof8JqrBsiRJkjQlNRIkz4sx3jD6IMZ4PTC7uCJJkiRJ5WokSK6EEI4ZfRBCOBbYV1iJJEmSpJLVm91i1MeBW0II3wUqwMXAbxdaKkmSJKlEB2xJjjF+C3gZcBNwG/CyGOP6gsslSZIklaaRlmRijBGIWT88hPBR4M0jD6+KMX4462dIkiRJrdZITnJTQgivAF5JdUGSU4HTQwhvLGp/kiRJUl4aaklu0hPAH8YY9wKEEO4Bji5wf5IkSVIuOiqVygFfFEKYBbwQ+BkwK8a4O8tOQggrgB8B58YY7z/Ay48FHsry+ZIkSdJBOA54eOyGA7YkhxDOAq4AhoBzgJ+EEF4bY7ypkT2GEFYBVwF/1ECAvF9fXz/DwwcO4PO0dOk8nnnGFbenA4/19OBxnj481tODx3l6aOVx7uzsYPHiucnPNfD+vwReAfTFGB8F3gn8TSM7DiGcC3wP+OMY4xcaK64kSZJUrkaC5Nkxxp+PPogxfpvGWqBfAHwLeFuM8WvNF1GSJElqrUYG7g2GEBZSXUiEEEJo8LM/BMwEPj3mLZ+PMX4+cyklSZKkFmokSP6fwEZgWQjhq1SndXv/gd4UY/w94PcOrniSJElS6x0wSI4xbggh3AtcBHQBH48x3lN4ySRJkqSSHDAnOYSwCNgKfB34CvDUyDZJkiRpSmok3eJZRvKRx3gCOCr/4kiSJEnlayTdYn9rcwihB3gb0OjgPUmSJGnSaWQKuP1ijHtjjOuo5idLkiRJU1Ij8x2PzT/uAF4CLCysRJIkSVLJsuQkd4w8fhqndpMkSdIUliknWZIkSZoOUoPkEMIf1HtjjPHT+RdHkiRJKl+9luSTWlYKSZIkqY2kBskxxve0siCSJElSu2hkdouzgT8G5lIdvNcFHBdjPLrgskmSJEmlaGRQ3j8BNwHzgS8DO4D1RRZKkiRJKlMjQXIlxvjnwPeBe4E3A68sslCSJElSmRoJkneO/P8B4MUxxueBfcUVSZIkSSpXI4uJ3BpC+Drw34CrQggnAEPFFkuSJEkqTyMtyR8EPhNjvA/4/ZH3vLXQUkmSJEklqreYyL8Bn4sxfg+4BSDGeBVwVYvKJkmSJJWiXrrFjcDnQggAfw+sizHurPN6SZIkaUpITbeIMX4qxrgS+E3gTOCBEMLfhxBWtax0kiRJUgkOmJMcY9wYY3wHcCIQgS+GEK4vvGSSJElSSRoZuDdqANhFdTGRJcUUR5IkSSpfI8tSnwu8F3g9cB3wsRjjxqILJkmSJJWl3uwWHwZ+HZhDdWnqVTHGJ1pVMEmSJKks9VqSXwV8BPi3GKMr7EmSJGnaSA2SY4wXtrIgkiRJUrvIMnBPkiRJmhYMkiVJkqQaBsmSJElSDYNkSZIkqYZBsiRJklTDIFmSJEmqccAV9w5WCGE+cBNwSYzx4aL3J0mSJB2sQluSQwhnAjcCJxS5H0mSJClPRadbvA/4HeDxgvcjSZIk5aajUqkUvpMQwsPAyxpMtzgWeKjA4kiSJEljHQc8PHZD4TnJzerr62d4uPgAfqylS+fxzDM7W7pPlcNjPT14nKcPj/X04HGeHlp5nDs7O1i8eG7ycy0pgSRJkjSJGCRLkiRJNQySJUmSpBotyUmOMR7biv1IkiRJebAlWZIkSaphkCxJkiTVMEiWJEmSahgkS5IkSTUMkiVJkqQaBsmSJElSDYNkSZIkqYZBsiRJklTDIFmSJEmqYZAsSZIk1TBIliRJkmoYJEuSJEk1DJIlSZKkGgbJkiRJUg2DZEmSJKmGQbIkSZJUwyBZkiRJqmGQLEmSJNUwSJYkSZJqGCRLkiRJNQySJUmSpBoGyZIkSVINg2RJkiSphkGyJEmSVMMgWZIkSaphkCxJkiTVMEiWJEmSahgkS5IkSTUMkiVJkqQaBsmSJElSDYNkSZIkqUZ3kR8eQngb8BFgBvDXMca/K3J/kiRJUh4Ka0kOIRwJfAI4DzgVeH8I4UVF7U+SJEnKS5Etya8Aro8xbgUIIXwTeBPw8QO8rwugs7OjwKKlK2u/aj2P9fTgcZ4+PNbTg8d5emjVcR6zn67a54oMko8Anhjz+AngjAbedzjAwoVziijTAS1ePLeU/ar1PNbTg8d5+vBYTw8e5+mhhON8OPDA2A1FBsmdQGXM4w5guIH3bQLOpxpU7yugXJIkSRJUW5APpxp/jlNkkPwo1WB31DLg8QbeNwDcWEiJJEmSpPEeSNpYZJD8XeBjIYSlwC7gMuD9Be5PkiRJykVhs1vEGB8D/hS4AbgT+HL0KjEAAAYVSURBVEqM8bai9idJkiTlpaNSqRz4VZIkSdI04op7kiRJUg2DZEmSJKmGQbIkSZJUwyBZkiRJqmGQLEmSJNUocp7kSSWE8DbgI8AM4K9jjH9XcpGUkxDCR4E3jzy8Ksb44RDCK4BPA7OAr8cYP1JaAZWrEMJfAUtijJeHEE4F/gmYD/wA+M0Y41CpBdRBCyG8FvgoMAe4Nsb4e57TU08I4R3Afx15eHWM8UOe01NHCGE+cBNwSYzx4bRzuMxjbksyEEI4EvgEcB5wKvD+EMKLyi2V8jBy0r0SWE312J4eQngr8C/A64GVwJoQwqvLK6XyEkJ4OfDuMZu+BHwgxngC0AG8r5SCKTchhOOBzwNvAE4GThs5fz2np5AQwmzgs8Ba4BTg/JH63HN6CgghnEl1deUTRh7PIv0cLu2YGyRXvQK4Psa4Nca4C/gm8KaSy6R8PAH8YYxxb4xxELiH6kl5f4zxoZG70S8Bv1pmIXXwQgiLqN7sfnLk8THArBjjLSMvWYfHeSp4I9VWpkdHzulfA3bjOT3VdFGNUeZQ7eGdAQziOT1VvA/4HeDxkcdnkHAOl12Pm25RdQTVYGrUE1QPmCa5GOPdo/8OIaygmnbxt0w83ke1uGjK3z9SXeXzBSOPk85rj/Pk90JgbwjhSuBoYANwNx7rKSXGuDOE8N+Ae6neBG0E9uJxnhJijO8FCCGMbkqrr0utx21JruoExi492AEMl1QWFSCEsAq4Dvgj4EE83lNKCOG9wCMxxu+N2ex5PTV1U+39+0/A2cCZwPF4rKeUEMLJwK8Dx1ANlPZRTZ3zOE9NafV1qfW4LclVjwLnj3m8jF92AWiSCyGcC6wHfj/G+LUQwlrg8DEv8XhPfr8GHB5CuBNYBMylWrF6nKeeJ4HvxhifAQgh/BvV7td9Y17jsZ78Lga+F2N8GiCEsA74EJ7TU9WjJB/btO0tYUty1XeBl4cQlo4MFrgM+E7JZVIOQggvAL4FvC3G+LWRzbdWnwovDCF0AW8Dri6rjDp4McaLYowvjjGeCvx34MoY43uAPSM3SQDvxOM8FWwALg4hLBg5f19NdRyJ5/TU8hPgFSGEOSGEDuC1VFMuPKenpsTrcoxxCyUec4NkIMb4GNVcxhuAO4GvxBhvK7dUysmHgJnAp0MId460NF4+8t964OdUc96+WVYBVai3A58JIdxLtXX5syWXRwcpxngr8BdUR8b/HNgC/AOe01NKjPFa4KvAj4G7qA7c+194Tk9JMcY9pJ/DpR3zjkqlcuBXSZIkSdOILcmSJElSDYNkSZIkqYZBsiRJklTDIFmSJEmqYZAsSZIk1XAxEUkqUAjhWOAh4L0xxn8es/1DwItjjJfntJ/LgY8D98QYL655rgL8jOqCGxVgNrAD+K0Y4+157F+SphpbkiWpeMPAp0IIocB9vAv4k9oAeYwLYoynxhhXxxgD8HXgbwssjyRNarYkS1Lxngc+BXwlhHB2jHHv2CdDCIcAfwecSrWl92qqAe9QI68D/hI4AzguhLA0xviZeoUJIXQDRwNbRx5/DFgSY/xA7eMQwveBm4FzR97zXeD9Mcbhpv4SkjRJ2JIsSa3xCaAf+GTCc58F+oCTgJcAp1BdLbKh18UYPwjcDvxRnQD5hhDCXSGEx4H7Rra9p8GyLwdeBpxMdRnotQ2+T5ImLYNkSWqBkZbXdwDvCSFcVPP0q4HPxRgrMcYB4PMj22o1+rokF8QYTwYuoZqTfEOM8ekG3/vvMcbhGOMO4D+ARQ2+T5ImLYNkSWqRGOMjwG8AXwCWjHmqk2r6xNjHMxI+otHX1SvDHcAHgXUjgwoZ+cyOMS/rqXnb82P+XftaSZqSDJIlqYVijN+kmkv8+2M2XwN8IITQEULoBd4PXJfw9kZfd6AyfBW4DRhNzXgGOH3kc+dRbW2WpGnNIFmSWu93gS01jw8FfjryX6Saw5z0vkZe14gPAL8SQrgY+DLVQPl+YAOwscnPlKQpo6NSqRz4VZIkSdI0YkuyJEmSVMMgWZIkSaphkCxJkiTVMEiWJEmSahgkS5IkSTUMkiVJkqQaBsmSJElSjf8PO8lPXx1pAqMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_runs = 100\n", "n_trials = 10000\n", "delta = 0.1\n", "plt.figure(figsize = [12,3])\n", "for run in range(n_runs):\n", " pi = markov_pi(n_trials, delta)\n", " plt.scatter(run,pi)\n", "plt.ylim([0,4.0])\n", "plt.xlabel(\"No of Run\")\n", "plt.ylabel(\"Value of Pi\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }