From Werner KRAUTH

Revision as of 21:22, 22 September 2015 Werner (Talk | contribs) ← Previous diff		Current revision Werner (Talk | contribs)
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		+	This page presents the program direct_sphere.py, a direct-sampling algorithm for uniform random points inside the three-dimensional unit sphere.
		+
		+	__FORCETOC__
		+	=Description=
		+
		+	=Program=
	import random, math		import random, math
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	/ math.sqrt(x ** 2 + y ** 2 + z ** 2)		/ math.sqrt(x ** 2 + y ** 2 + z ** 2)
	print x * length, y * length, z * length		print x * length, y * length, z * length
		+
		+	=Version=
		+	See history for version information.
		+
		+	[[Category:Python]]
		+	[[Category:Honnef_2015]]
		+	[[Category:MOOC_SMAC]]

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Current revision

This page presents the program direct_sphere.py, a direct-sampling algorithm for uniform random points inside the three-dimensional unit sphere.

Contents 1 Description 2 Program 3 Version

Description

Program

import random, math

nsamples = 100
for sample in xrange(nsamples):
    x, y, z = (random.gauss(0.0, 1.0),
               random.gauss(0.0, 1.0),
               random.gauss(0.0, 1.0))
    length = random.uniform(0.0, 1.0) ** (1.0 / 3.0) \
                    / math.sqrt(x ** 2 + y ** 2 + z ** 2)
    print x * length, y * length, z * length

Version

See history for version information.