* Added new module wpylib.math.random and its submodule (rng_lcg48).

The LCG48 generator is primarily for testing algorithms involving random
  numbers.
master
Wirawan Purwanto 11 years ago
parent e485cabbe8
commit 42fdcc5253
  1. 13
      math/random/__init__.py
  2. 166
      math/random/rng_lcg48.py

@ -0,0 +1,13 @@
#
# wpylib.math.random module
# Created: 20130814
# Wirawan Purwanto
#
import numpy
class rng_base(object):
"""Bas class for random number generator."""
# Standard classes
from wpylib.math.random.rng_lcg48 import lcg48

@ -0,0 +1,166 @@
#
# wpylib.math.random.rng_lcg48 module
# Created: 20130814
# Wirawan Purwanto
#
"""
wpylib.math.random.rng_lcg48 module
Implementation of 48-bit Linear Congruential pseudorandom number generator
This RNG is used only for testing and regression purposes.
"""
from wpylib.math.random import rng_base
class lcg48(rng_base):
"""Linear congruential pseudorandom number generator.
By default this implements the `rannyu' routine."""
m = 34522712143931 # 11**13
# This is "seed 1" in the legacy rannyu seed library.
L = 127
n = 11863279
div_two_48 = 2.0**(-48)
def __call__(self):
L_new = (self.m * self.L + self.n) & 0xFFFFFFFFFFFF
self.L = L_new
if L_new == 0:
return self.div_two_48
else:
return L_new * self.div_two_48
def update_seed(self, Ln):
if len(Ln) == 2:
(self.L, self.n) = (Ln[0], Ln[1])
self.seed_index = None
elif len(Ln) == 3:
(self.seed_index, self.L, self.n) = (Ln[0], Ln[1], Ln[2])
else:
raise TypeError, "Unsupported seed type."
def use_seed_lib(self, index):
self.m = 34522712143931 # 11**13
self.update_seed(rannyu_seed_lib[index])
def mkint48(N):
"""Generates a 48-bit number from four integers.
Used for encoding conversion for legacy rannyu library."""
return N[3] + (N[2] << 12) + (N[1] << 24) + (N[0] << 36)
def split48(value):
i4 = value & 0xFFF
value >>= 12
i3 = value & 0xFFF
value >>= 12
i2 = value & 0xFFF
value >>= 12
i1 = value & 0xFFF
return (i1,i2,i3,i4)
rannyu_seed_lib = [
(), # 0 is not used
(1, 127, 11863279),
(2, 127, 11863259),
(3, 127, 11863253),
(4, 127, 11863249),
(5, 127, 11863237),
(6, 127, 11863213),
(7, 152656382984915, 11863279),
(8, 152656382984915, 11863259),
(9, 152656382984915, 11863253),
(10, 152656382984915, 11863249),
(11, 152656382984915, 11863237),
(12, 152656382984915, 11863213),
(13, 127, 11863207),
(14, 127, 11863183),
(15, 152656382984915, 11863207),
(16, 152656382984915, 11863183),
(17, 152656382984915, 11863171),
(18, 152656382984915, 11863153),
(19, 152656382984915, 11863151),
(20, 152656382984915, 11863133),
(21, 152656382984915, 11863123),
(22, 152656382984915, 11863121),
(23, 152656382984915, 11863109),
(24, 152656382984915, 11863099),
(25, 127, 11863171),
(26, 127, 11863153),
(27, 127, 11863151),
(28, 127, 11863133),
(29, 127, 11863123),
(30, 127, 11863121),
(31, 127, 11863109),
(32, 127, 11863099),
(33, 152656382984915, 11863073),
(34, 127, 11863073),
(35, 152656382984915, 11863067),
(36, 127, 11863067),
(37, 152656382984915, 11863057),
(38, 127, 11863057),
(39, 152656382984915, 11863039),
(40, 127, 11863039),
(41, 152656382984915, 11863037),
(42, 127, 11863037),
(43, 127, 11863031),
(44, 127, 11863021),
(45, 127, 11862997),
(46, 127, 11862989),
(47, 127, 11862979),
(48, 127, 11862959),
(49, 127, 11862919),
(50, 127, 11862911),
(51, 127, 11862881),
(52, 127, 11862869),
(53, 127, 11862857),
(54, 127, 11862841),
(55, 127, 11862839),
(56, 127, 11862803),
(57, 127, 11862791),
(58, 127, 11862761),
(59, 127, 11862713),
(60, 127, 11862013),
(61, 127, 11862007),
(62, 127, 11861987),
(63, 127, 11861959),
(64, 127, 11861953),
(65, 127, 11861923),
(66, 127, 11861819),
(67, 127, 11861803),
(68, 127, 11861791),
(69, 127, 11861749),
(70, 127, 11861713),
(71, 127, 11861711),
(72, 127, 11861701),
(73, 152656382984915, 11863031),
(74, 152656382984915, 11863021),
(75, 152656382984915, 11862997),
(76, 152656382984915, 11862989),
(77, 152656382984915, 11862979),
(78, 152656382984915, 11862959),
(79, 152656382984915, 11862919),
(80, 152656382984915, 11862911),
(81, 152656382984915, 11862881),
(82, 152656382984915, 11862869),
(83, 152656382984915, 11862857),
(84, 152656382984915, 11862841),
(85, 152656382984915, 11862839),
(86, 152656382984915, 11862803),
(87, 152656382984915, 11862791),
(88, 152656382984915, 11862761),
(89, 152656382984915, 11862713),
(90, 152656382984915, 11862013),
(91, 152656382984915, 11862007),
(92, 152656382984915, 11861987),
(93, 152656382984915, 11861959),
(94, 152656382984915, 11861953),
(95, 152656382984915, 11861923),
(96, 152656382984915, 11861819),
(97, 152656382984915, 11861803),
(98, 152656382984915, 11861791),
(99, 152656382984915, 11861749),
(100, 152656382984915, 11861713),
(101, 152656382984915, 11861711),
(102, 152656382984915, 11861701),
]
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