Mercurial > public > think_complexity
diff ch6ex2.py @ 41:d4d9650afe1e
Chapter 6, exercise 2, create a linear congruential generator.
author | Brian Neal <bgneal@gmail.com> |
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date | Sun, 13 Jan 2013 13:10:46 -0600 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ch6ex2.py Sun Jan 13 13:10:46 2013 -0600 @@ -0,0 +1,66 @@ +"""Chapter 6, exercise 2 in Allen Downey's Think Complexity book. + +1. Write a program that implements one of the linear congruential generators + described at http://en.wikipedia.org/wiki/Linear_congruential_generator + +""" + +class LCG(object): + """A class to implement a Linear Congruential Generator (LCG) pseudo-random + number generator. + + """ + def __init__(self, a=1103515245, c=12345, m=2**31, + output=lambda x: x & 0x7fffffff): + """The parameters a, c, and m are the LCG parameters: + xn = (a * xn + c) % m + + The parameter output must be a function that transforms the next output + value. This can be used to shift or mask off various bits to + statistically improve the values produced. + + """ + self.a = a + self.c = c + self.m = m + self.xn = 0 + self.output = output + + def seed(self, val): + """Seed the pseudo-random number generator with the value val.""" + self.xn = val + + def rand(self): + """Generate and return the next pseudo-rando number in the sequence.""" + self.xn = (self.a * self.xn + self.c) % self.m + return self.output(self.xn) + + +def main(script, prng): + """Rig up either our random number generator or Python's to produce output + on stdout so we can test it with dieharder: + + $ python ch6ex2.py lcg | dieharder -a -g 200 # to test ours + $ python ch6ex2.py python | dieharder -a -g 200 # to test Python + + """ + import struct + import random + + lcg = LCG() + py_rng = lambda : random.randint(0, 0xffffffff) + + if prng == 'python': + r = py_rng + else: + r = lcg.rand + + while True: + n = r() + s = struct.pack('>L', n) + sys.stdout.write(s) + + +if __name__ == '__main__': + import sys + main(*sys.argv)