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authorRaymond Hettinger <python@rcn.com>2003-01-04 09:26:32 (GMT)
committerRaymond Hettinger <python@rcn.com>2003-01-04 09:26:32 (GMT)
commit73ced7ee995180c0bd8d96ff7d7fb614a744ad7d (patch)
tree6f947e5610c1d232c7b2b1267b8ca919331ca01e
parent3a57d9de076d255f5cf46816c07e79a8c9b76ec4 (diff)
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Correct long standing bugs in the methods for random distributions.
The range of u=random() is [0,1), so log(u) and 1/x can fail. Fix by setting u=1-random() or by reselecting for a usable value. Will backport.
-rw-r--r--Lib/random.py10
1 files changed, 6 insertions, 4 deletions
diff --git a/Lib/random.py b/Lib/random.py
index 03dadf2..4ddac4c 100644
--- a/Lib/random.py
+++ b/Lib/random.py
@@ -282,7 +282,7 @@ class Random(CoreGenerator):
random = self.random
while True:
u1 = random()
- u2 = random()
+ u2 = 1.0 - random()
z = NV_MAGICCONST*(u1-0.5)/u2
zz = z*z/4.0
if zz <= -_log(u2):
@@ -422,7 +422,9 @@ class Random(CoreGenerator):
while True:
u1 = random()
- u2 = random()
+ if not 1e-7 < u1 < .9999999:
+ continue
+ u2 = 1.0 - random()
v = _log(u1/(1.0-u1))/ainv
x = alpha*_exp(v)
z = u1*u1*u2
@@ -554,7 +556,7 @@ class Random(CoreGenerator):
"""Pareto distribution. alpha is the shape parameter."""
# Jain, pg. 495
- u = self.random()
+ u = 1.0 - self.random()
return 1.0 / pow(u, 1.0/alpha)
## -------------------- Weibull --------------------
@@ -567,7 +569,7 @@ class Random(CoreGenerator):
"""
# Jain, pg. 499; bug fix courtesy Bill Arms
- u = self.random()
+ u = 1.0 - self.random()
return alpha * pow(-_log(u), 1.0/beta)
## -------------------- Wichmann-Hill -------------------