Created
October 8, 2013 12:19
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Generate random points in a circle
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# generate random points in a circle | |
import numpy as np | |
import pylab as plt | |
num_samples = 1000 | |
# make a simple unit circle | |
theta = np.linspace(0, 2*np.pi, num_samples) | |
a, b = 1 * np.cos(theta), 1 * np.sin(theta) | |
# generate the points | |
# theta = np.random.rand((num_samples)) * (2 * np.pi) | |
r = np.random.rand((num_samples)) | |
x, y = r * np.cos(theta), r * np.sin(theta) | |
# plots | |
plt.figure(figsize=(7,6)) | |
plt.plot(a, b, linestyle='-', linewidth=2, label='Circle') | |
plt.plot(x, y, marker='o', linestyle='.', label='Samples') | |
plt.ylim([-1.5,1.5]) | |
plt.xlim([-1.5,1.5]) | |
plt.grid() | |
plt.legend(loc='upper right') | |
plt.show(block=True) |
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