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@IlievskiV
Created June 5, 2020 21:06
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Approximating Pi using Monte Carlo Method
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Approximate Pi using Monte Carlo Method"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# import libraries\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.animation as animation\n",
"\n",
"import sobol_seq\n",
"\n",
"# ignore warnings\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\")\n",
"\n",
"# set a random seed\n",
"np.random.seed(1234)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generate random points"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"factor = 200 # point to add each generation\n",
"frames = 500 # number of frames\n",
"\n",
"num_points = factor * frames # total number of points to generate \n",
"x = np.random.uniform(low=0, high=1, size=num_points) # generate points on x axis\n",
"y = np.random.uniform(low=0, high=1, size=num_points) # generate points on y axis\n",
"is_inside = x**2 + y**2 < 1.0 # list of bools"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Make Animation"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 10))\n",
"def animate(i):\n",
" plt.cla() # clear all previous axes objects\n",
" ax = plt.axes(xlim=(0, 1), ylim=(0, 1)) # create a new axis\n",
" \n",
" N = (i + 1) * factor # how many points to take\n",
" \n",
" # formatting options\n",
" ax.set_xlabel('X', fontsize=18)\n",
" ax.set_ylabel('Y', fontsize=18)\n",
" ax.tick_params(labelsize=16)\n",
" ax.grid(True, which='major', linestyle='--', color='black', alpha=0.4)\n",
" \n",
" circle = plt.Circle(xy=(0, 0), radius=1, fill=False, ec='b') # create a circle\n",
" ax.add_artist(circle) # add the cirsle to the axes\n",
" \n",
" \n",
" X = x[:N] # take N points from the x axis\n",
" Y = y[:N] # take N points from the y axis\n",
" IN = is_inside[:N] # take N points from the inside ones\n",
" \n",
" X_in, Y_in = X[IN], Y[IN]\n",
" \n",
" plt.scatter(X, Y, s=1, c='r')\n",
" plt.scatter(X_in, Y_in, c='b')\n",
" \n",
" pi = 4*np.sum(IN)/N # approximate Pi\n",
" \n",
" ax.set_title('$\\pi$ = {0:.9f} for {1} pts. Err. {2:.9f}'.format(pi, N, np.abs(np.pi - pi)), \n",
" fontsize=26)\n",
" \n",
" return circle,\n",
"\n",
"# call the animator\t \n",
"anim = animation.FuncAnimation(fig, animate, frames=frames, interval=30, blit=True)\n",
"anim.save('pi_geom_quarter.gif',writer=\"imagemagick\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python (tf21)",
"language": "python",
"name": "myenv"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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