{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Estimating $\\pi$ by Sampling Points\n", "By Evgenia \"Jenny\" Nitishinskaya and Delaney Granizo-Mackenzie\n", "\n", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "---\n", "\n", "A stochastic way to estimate the value of $\\pi$ is to sample points from a square area. Some of the points will fall within the area of a circle as defined by $x^2 + y^2 = 1$, we count what percentage all points fall within this area, which allows us to estimate the area of the circle and therefore $\\pi$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import libraries\n", "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true }, "outputs": [], "source": [ "in_circle = 0\n", "outside_circle = 0\n", "\n", "n = 10 ** 4\n", "\n", "# Draw many random points\n", "X = np.random.rand(n)\n", "Y = np.random.rand(n)\n", "\n", "for i in range(n):\n", " \n", " if X[i]**2 + Y[i]**2 > 1:\n", " outside_circle += 1\n", " else:\n", " in_circle += 1\n", "\n", "area_of_quarter_circle = float(in_circle)/(in_circle + outside_circle)\n", "pi_estimate = area_of_circle = area_of_quarter_circle * 4" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.1328" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pi_estimate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the process to see how it works." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o6wYX/OBFD+I9Mv6QYE0Y91bubZOZt5/DA1UFrtLvC34wMgdxaPKD2DY/iG3z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\nrE1bIco4YZzE7mRlhlQWwXX3wzt1sSy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v+S+x7F4ao94zltror+FPuV6ypNORhlW19rrZ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g8PTbvfYs/RVgCHaGPsm1rk/hvBrq4HcHR0Sj1va8nasftyYjRkGiBK9D5WwJQEjlQQ5RnH9NkX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a circle for reference\n", "circle1=plt.Circle((0,0),1,color='r', fill=False, lw=2)\n", "fig = plt.gcf()\n", "fig.gca().add_artist(circle1)\n", "# Set the axis limits so the circle doesn't look skewed\n", "plt.xlim((0, 1.8))\n", "plt.ylim((0, 1.2))\n", "plt.scatter(X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's see how our estimate gets better as we increase $n$. We'll do this by computing the estimate for $\\pi$ at each step and plotting that estimate to see how it converges." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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XuUAWUNrMZZ8CHgB2t+exky2UmA42GSkONA59qKiqJR5PtOdXSJIkSXqbS2tgCoIgGgTB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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "in_circle = 0\n", "outside_circle = 0\n", "\n", "n = 10 ** 3\n", "\n", "# Draw many random points\n", "X = np.random.rand(n)\n", "Y = np.random.rand(n)\n", "\n", "# Make a new array\n", "pi = np.ndarray(n)\n", "\n", "for i in range(n):\n", " \n", " if X[i]**2 + Y[i]**2 > 1:\n", " outside_circle += 1\n", " else:\n", " in_circle += 1\n", "\n", " area_of_quarter_circle = float(in_circle)/(in_circle + outside_circle)\n", " pi_estimate = area_of_circle = area_of_quarter_circle * 4\n", " \n", " pi[i] = pi_estimate\n", " \n", "plt.plot(range(n), pi)\n", "plt.xlabel('n')\n", "plt.ylabel('pi estimate')\n", "plt.plot(range(n), [math.pi] * n)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }