mirror of
https://github.com/python/cpython.git
synced 2024-11-24 18:34:43 +08:00
40f6217092
core generator for random.py.
207 lines
7.6 KiB
Python
207 lines
7.6 KiB
Python
#!/usr/bin/env python
|
|
|
|
import unittest
|
|
import random
|
|
import time
|
|
from test import test_support
|
|
|
|
class TestBasicOps(unittest.TestCase):
|
|
# Superclass with tests common to all generators.
|
|
# Subclasses must arrange for self.gen to retrieve the Random instance
|
|
# to be tested.
|
|
|
|
def randomlist(self, n):
|
|
"""Helper function to make a list of random numbers"""
|
|
return [self.gen.random() for i in xrange(n)]
|
|
|
|
def test_autoseed(self):
|
|
self.gen.seed()
|
|
state1 = self.gen.getstate()
|
|
time.sleep(1)
|
|
self.gen.seed() # diffent seeds at different times
|
|
state2 = self.gen.getstate()
|
|
self.assertNotEqual(state1, state2)
|
|
|
|
def test_saverestore(self):
|
|
N = 1000
|
|
self.gen.seed()
|
|
state = self.gen.getstate()
|
|
randseq = self.randomlist(N)
|
|
self.gen.setstate(state) # should regenerate the same sequence
|
|
self.assertEqual(randseq, self.randomlist(N))
|
|
|
|
def test_seedargs(self):
|
|
for arg in [None, 0, 0L, 1, 1L, -1, -1L, 10**20, -(10**20),
|
|
3.14, 1+2j, 'a', tuple('abc')]:
|
|
self.gen.seed(arg)
|
|
for arg in [range(3), dict(one=1)]:
|
|
self.assertRaises(TypeError, self.gen.seed, arg)
|
|
|
|
def test_jumpahead(self):
|
|
self.gen.seed()
|
|
state1 = self.gen.getstate()
|
|
self.gen.jumpahead(100)
|
|
state2 = self.gen.getstate() # s/b distinct from state1
|
|
self.assertNotEqual(state1, state2)
|
|
self.gen.jumpahead(100)
|
|
state3 = self.gen.getstate() # s/b distinct from state2
|
|
self.assertNotEqual(state2, state3)
|
|
|
|
self.assertRaises(TypeError, self.gen.jumpahead) # needs an arg
|
|
self.assertRaises(TypeError, self.gen.jumpahead, "ick") # wrong type
|
|
self.assertRaises(TypeError, self.gen.jumpahead, 2.3) # wrong type
|
|
self.assertRaises(TypeError, self.gen.jumpahead, 2, 3) # too many
|
|
|
|
def test_sample(self):
|
|
# For the entire allowable range of 0 <= k <= N, validate that
|
|
# the sample is of the correct length and contains only unique items
|
|
N = 100
|
|
population = xrange(N)
|
|
for k in xrange(N+1):
|
|
s = self.gen.sample(population, k)
|
|
self.assertEqual(len(s), k)
|
|
uniq = dict.fromkeys(s)
|
|
self.assertEqual(len(uniq), k)
|
|
self.failIf(None in uniq)
|
|
|
|
def test_gauss(self):
|
|
# Ensure that the seed() method initializes all the hidden state. In
|
|
# particular, through 2.2.1 it failed to reset a piece of state used
|
|
# by (and only by) the .gauss() method.
|
|
|
|
for seed in 1, 12, 123, 1234, 12345, 123456, 654321:
|
|
self.gen.seed(seed)
|
|
x1 = self.gen.random()
|
|
y1 = self.gen.gauss(0, 1)
|
|
|
|
self.gen.seed(seed)
|
|
x2 = self.gen.random()
|
|
y2 = self.gen.gauss(0, 1)
|
|
|
|
self.assertEqual(x1, x2)
|
|
self.assertEqual(y1, y2)
|
|
|
|
|
|
class WichmannHill_TestBasicOps(TestBasicOps):
|
|
gen = random.WichmannHill()
|
|
|
|
def test_strong_jumpahead(self):
|
|
# tests that jumpahead(n) semantics correspond to n calls to random()
|
|
N = 1000
|
|
s = self.gen.getstate()
|
|
self.gen.jumpahead(N)
|
|
r1 = self.gen.random()
|
|
# now do it the slow way
|
|
self.gen.setstate(s)
|
|
for i in xrange(N):
|
|
self.gen.random()
|
|
r2 = self.gen.random()
|
|
self.assertEqual(r1, r2)
|
|
|
|
def test_gauss_with_whseed(self):
|
|
# Ensure that the seed() method initializes all the hidden state. In
|
|
# particular, through 2.2.1 it failed to reset a piece of state used
|
|
# by (and only by) the .gauss() method.
|
|
|
|
for seed in 1, 12, 123, 1234, 12345, 123456, 654321:
|
|
self.gen.whseed(seed)
|
|
x1 = self.gen.random()
|
|
y1 = self.gen.gauss(0, 1)
|
|
|
|
self.gen.whseed(seed)
|
|
x2 = self.gen.random()
|
|
y2 = self.gen.gauss(0, 1)
|
|
|
|
self.assertEqual(x1, x2)
|
|
self.assertEqual(y1, y2)
|
|
|
|
class MersenneTwister_TestBasicOps(TestBasicOps):
|
|
gen = random.Random()
|
|
|
|
def test_referenceImplementation(self):
|
|
# Compare the python implementation with results from the original
|
|
# code. Create 2000 53-bit precision random floats. Compare only
|
|
# the last ten entries to show that the independent implementations
|
|
# are tracking. Here is the main() function needed to create the
|
|
# list of expected random numbers:
|
|
# void main(void){
|
|
# int i;
|
|
# unsigned long init[4]={61731, 24903, 614, 42143}, length=4;
|
|
# init_by_array(init, length);
|
|
# for (i=0; i<2000; i++) {
|
|
# printf("%.15f ", genrand_res53());
|
|
# if (i%5==4) printf("\n");
|
|
# }
|
|
# }
|
|
expected = [0.45839803073713259,
|
|
0.86057815201978782,
|
|
0.92848331726782152,
|
|
0.35932681119782461,
|
|
0.081823493762449573,
|
|
0.14332226470169329,
|
|
0.084297823823520024,
|
|
0.53814864671831453,
|
|
0.089215024911993401,
|
|
0.78486196105372907]
|
|
|
|
self.gen.seed(61731L + (24903L<<32) + (614L<<64) + (42143L<<96))
|
|
actual = self.randomlist(2000)[-10:]
|
|
for a, e in zip(actual, expected):
|
|
self.assertAlmostEqual(a,e,places=14)
|
|
|
|
def test_strong_reference_implementation(self):
|
|
# Like test_referenceImplementation, but checks for exact bit-level
|
|
# equality. This should pass on any box where C double contains
|
|
# at least 53 bits of precision (the underlying algorithm suffers
|
|
# no rounding errors -- all results are exact).
|
|
from math import ldexp
|
|
|
|
expected = [0x0eab3258d2231fL,
|
|
0x1b89db315277a5L,
|
|
0x1db622a5518016L,
|
|
0x0b7f9af0d575bfL,
|
|
0x029e4c4db82240L,
|
|
0x04961892f5d673L,
|
|
0x02b291598e4589L,
|
|
0x11388382c15694L,
|
|
0x02dad977c9e1feL,
|
|
0x191d96d4d334c6L]
|
|
|
|
self.gen.seed(61731L + (24903L<<32) + (614L<<64) + (42143L<<96))
|
|
actual = self.randomlist(2000)[-10:]
|
|
for a, e in zip(actual, expected):
|
|
self.assertEqual(long(ldexp(a, 53)), e)
|
|
|
|
def test_long_seed(self):
|
|
# This is most interesting to run in debug mode, just to make sure
|
|
# nothing blows up. Under the covers, a dynamically resized array
|
|
# is allocated, consuming space proportional to the number of bits
|
|
# in the seed. Unfortunately, that's a quadratic-time algorithm,
|
|
# so don't make this horribly big.
|
|
seed = (1L << (10000 * 8)) - 1 # about 10K bytes
|
|
self.gen.seed(seed)
|
|
|
|
class TestModule(unittest.TestCase):
|
|
def testMagicConstants(self):
|
|
self.assertAlmostEqual(random.NV_MAGICCONST, 1.71552776992141)
|
|
self.assertAlmostEqual(random.TWOPI, 6.28318530718)
|
|
self.assertAlmostEqual(random.LOG4, 1.38629436111989)
|
|
self.assertAlmostEqual(random.SG_MAGICCONST, 2.50407739677627)
|
|
|
|
def test__all__(self):
|
|
# tests validity but not completeness of the __all__ list
|
|
defined = dict.fromkeys(dir(random))
|
|
for entry in random.__all__:
|
|
self.failUnless(entry in defined)
|
|
|
|
def test_main():
|
|
suite = unittest.TestSuite()
|
|
for testclass in (WichmannHill_TestBasicOps,
|
|
MersenneTwister_TestBasicOps,
|
|
TestModule):
|
|
suite.addTest(unittest.makeSuite(testclass))
|
|
test_support.run_suite(suite)
|
|
|
|
if __name__ == "__main__":
|
|
test_main()
|