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-rw-r--r--numpy/random/__init__.py18
-rw-r--r--numpy/random/info.py55
-rw-r--r--numpy/random/mtrand/Python.pxi54
-rw-r--r--numpy/random/mtrand/distributions.c852
-rw-r--r--numpy/random/mtrand/distributions.h185
-rw-r--r--numpy/random/mtrand/generate_mtrand_c.py37
-rw-r--r--numpy/random/mtrand/initarray.c136
-rw-r--r--numpy/random/mtrand/initarray.h6
-rw-r--r--numpy/random/mtrand/mtrand.c10907
-rw-r--r--numpy/random/mtrand/mtrand.pyx1724
-rw-r--r--numpy/random/mtrand/numpy.pxi133
-rw-r--r--numpy/random/mtrand/randomkit.c365
-rw-r--r--numpy/random/mtrand/randomkit.h189
-rw-r--r--numpy/random/setup.py53
14 files changed, 14714 insertions, 0 deletions
diff --git a/numpy/random/__init__.py b/numpy/random/__init__.py
new file mode 100644
index 000000000..5a7423208
--- /dev/null
+++ b/numpy/random/__init__.py
@@ -0,0 +1,18 @@
+# To get sub-modules
+from info import __doc__, __all__
+from mtrand import *
+
+# Some aliases:
+ranf = random = sample = random_sample
+__all__.extend(['ranf','random','sample'])
+
+def __RandomState_ctor():
+ """Return a RandomState instance.
+
+ This function exists solely to assist (un)pickling.
+ """
+ return RandomState()
+
+def test(level=1, verbosity=1):
+ from numpy.testing import NumpyTest
+ return NumpyTest().test(level, verbosity)
diff --git a/numpy/random/info.py b/numpy/random/info.py
new file mode 100644
index 000000000..8c2cae44a
--- /dev/null
+++ b/numpy/random/info.py
@@ -0,0 +1,55 @@
+"""\
+Core Random Tools
+=================
+
+"""
+
+depends = ['core']
+
+__all__ = [
+ 'beta',
+ 'binomial',
+ 'bytes',
+ 'chisquare',
+ 'exponential',
+ 'f',
+ 'gamma',
+ 'geometric',
+ 'get_state',
+ 'gumbel',
+ 'hypergeometric',
+ 'laplace',
+ 'logistic',
+ 'lognormal',
+ 'logseries',
+ 'multinomial',
+ 'multivariate_normal',
+ 'negative_binomial',
+ 'noncentral_chisquare',
+ 'noncentral_f',
+ 'normal',
+ 'pareto',
+ 'permutation',
+ 'poisson',
+ 'power',
+ 'rand',
+ 'randint',
+ 'randn',
+ 'random_integers',
+ 'random_sample',
+ 'rayleigh',
+ 'seed',
+ 'set_state',
+ 'shuffle',
+ 'standard_cauchy',
+ 'standard_exponential',
+ 'standard_gamma',
+ 'standard_normal',
+ 'standard_t',
+ 'triangular',
+ 'uniform',
+ 'vonmises',
+ 'wald',
+ 'weibull',
+ 'zipf'
+]
diff --git a/numpy/random/mtrand/Python.pxi b/numpy/random/mtrand/Python.pxi
new file mode 100644
index 000000000..03018e960
--- /dev/null
+++ b/numpy/random/mtrand/Python.pxi
@@ -0,0 +1,54 @@
+# :Author: Robert Kern
+# :Copyright: 2004, Enthought, Inc.
+# :License: BSD Style
+
+
+cdef extern from "Python.h":
+ # Not part of the Python API, but we might as well define it here.
+ # Note that the exact type doesn't actually matter for Pyrex.
+ ctypedef int size_t
+
+ # String API
+ char* PyString_AsString(object string)
+ char* PyString_AS_STRING(object string)
+ object PyString_FromString(char* c_string)
+ object PyString_FromStringAndSize(char* c_string, int length)
+
+ # Float API
+ double PyFloat_AsDouble(object ob)
+ long PyInt_AsLong(object ob)
+
+ # Memory API
+ void* PyMem_Malloc(size_t n)
+ void* PyMem_Realloc(void* buf, size_t n)
+ void PyMem_Free(void* buf)
+
+ void Py_DECREF(object obj)
+ void Py_XDECREF(object obj)
+ void Py_INCREF(object obj)
+ void Py_XINCREF(object obj)
+
+ # CObject API
+ ctypedef void (*destructor1)(void* cobj)
+ ctypedef void (*destructor2)(void* cobj, void* desc)
+ int PyCObject_Check(object p)
+ object PyCObject_FromVoidPtr(void* cobj, destructor1 destr)
+ object PyCObject_FromVoidPtrAndDesc(void* cobj, void* desc,
+ destructor2 destr)
+ void* PyCObject_AsVoidPtr(object self)
+ void* PyCObject_GetDesc(object self)
+ int PyCObject_SetVoidPtr(object self, void* cobj)
+
+ # TypeCheck API
+ int PyFloat_Check(object obj)
+ int PyInt_Check(object obj)
+
+ # Error API
+ int PyErr_Occurred()
+ void PyErr_Clear()
+
+cdef extern from "string.h":
+ void *memcpy(void *s1, void *s2, int n)
+
+cdef extern from "math.h":
+ double fabs(double x)
diff --git a/numpy/random/mtrand/distributions.c b/numpy/random/mtrand/distributions.c
new file mode 100644
index 000000000..528d8f332
--- /dev/null
+++ b/numpy/random/mtrand/distributions.c
@@ -0,0 +1,852 @@
+/* Copyright 2005 Robert Kern (robert.kern@gmail.com)
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+/* The implementations of rk_hypergeometric_hyp(), rk_hypergeometric_hrua(),
+ * and rk_triangular() were adapted from Ivan Frohne's rv.py which has this
+ * license:
+ *
+ * Copyright 1998 by Ivan Frohne; Wasilla, Alaska, U.S.A.
+ * All Rights Reserved
+ *
+ * Permission to use, copy, modify and distribute this software and its
+ * documentation for any purpose, free of charge, is granted subject to the
+ * following conditions:
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the software.
+ *
+ * THE SOFTWARE AND DOCUMENTATION IS PROVIDED WITHOUT WARRANTY OF ANY KIND,
+ * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO MERCHANTABILITY, FITNESS
+ * FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHOR
+ * OR COPYRIGHT HOLDER BE LIABLE FOR ANY CLAIM OR DAMAGES IN A CONTRACT
+ * ACTION, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR ITS DOCUMENTATION.
+ */
+
+#include <math.h>
+#include "distributions.h"
+#include <stdio.h>
+
+#ifndef min
+#define min(x,y) ((x<y)?x:y)
+#define max(x,y) ((x>y)?x:y)
+#endif
+
+#ifndef M_PI
+#define M_PI 3.14159265358979323846264338328
+#endif
+/* log-gamma function to support some of these distributions. The
+ * algorithm comes from SPECFUN by Shanjie Zhang and Jianming Jin and their
+ * book "Computation of Special Functions", 1996, John Wiley & Sons, Inc.
+ */
+extern double loggam(double x);
+double loggam(double x)
+{
+ double x0, x2, xp, gl, gl0;
+ long k, n;
+
+ static double a[10] = {8.333333333333333e-02,-2.777777777777778e-03,
+ 7.936507936507937e-04,-5.952380952380952e-04,
+ 8.417508417508418e-04,-1.917526917526918e-03,
+ 6.410256410256410e-03,-2.955065359477124e-02,
+ 1.796443723688307e-01,-1.39243221690590e+00};
+ x0 = x;
+ n = 0;
+ if ((x == 1.0) || (x == 2.0))
+ {
+ return 0.0;
+ }
+ else if (x <= 7.0)
+ {
+ n = (long)(7 - x);
+ x0 = x + n;
+ }
+ x2 = 1.0/(x0*x0);
+ xp = 2*M_PI;
+ gl0 = a[9];
+ for (k=8; k>=0; k--)
+ {
+ gl0 *= x2;
+ gl0 += a[k];
+ }
+ gl = gl0/x0 + 0.5*log(xp) + (x0-0.5)*log(x0) - x0;
+ if (x <= 7.0)
+ {
+ for (k=1; k<=n; k++)
+ {
+ gl -= log(x0-1.0);
+ x0 -= 1.0;
+ }
+ }
+ return gl;
+}
+
+double rk_normal(rk_state *state, double loc, double scale)
+{
+ return loc + scale*rk_gauss(state);
+}
+
+double rk_standard_exponential(rk_state *state)
+{
+ /* We use -log(1-U) since U is [0, 1) */
+ return -log(1.0 - rk_double(state));
+}
+
+double rk_exponential(rk_state *state, double scale)
+{
+ return scale * rk_standard_exponential(state);
+}
+
+double rk_uniform(rk_state *state, double loc, double scale)
+{
+ return loc + scale*rk_double(state);
+}
+
+double rk_standard_gamma(rk_state *state, double shape)
+{
+ double b, c;
+ double U, V, X, Y;
+
+ if (shape == 1.0)
+ {
+ return rk_standard_exponential(state);
+ }
+ else if (shape < 1.0)
+ {
+ for (;;)
+ {
+ U = rk_double(state);
+ V = rk_standard_exponential(state);
+ if (U <= 1.0 - shape)
+ {
+ X = pow(U, 1./shape);
+ if (X <= V)
+ {
+ return X;
+ }
+ }
+ else
+ {
+ Y = -log((1-U)/shape);
+ X = pow(1.0 - shape + shape*Y, 1./shape);
+ if (X <= (V + Y))
+ {
+ return X;
+ }
+ }
+ }
+ }
+ else
+ {
+ b = shape - 1./3.;
+ c = 1./sqrt(9*b);
+ for (;;)
+ {
+ do
+ {
+ X = rk_gauss(state);
+ V = 1.0 + c*X;
+ } while (V <= 0.0);
+
+ V = V*V*V;
+ U = rk_double(state);
+ if (U < 1.0 - 0.0331*(X*X)*(X*X)) return (b*V);
+ if (log(U) < 0.5*X*X + b*(1. - V + log(V))) return (b*V);
+ }
+ }
+}
+
+double rk_gamma(rk_state *state, double shape, double scale)
+{
+ return scale * rk_standard_gamma(state, shape);
+}
+
+double rk_beta(rk_state *state, double a, double b)
+{
+ double Ga, Gb;
+
+ if ((a <= 1.0) && (b <= 1.0))
+ {
+ double U, V, X, Y;
+ /* Use Jonk's algorithm */
+
+ while (1)
+ {
+ U = rk_double(state);
+ V = rk_double(state);
+ X = pow(U, 1.0/a);
+ Y = pow(V, 1.0/b);
+
+ if ((X + Y) <= 1.0)
+ {
+ return X / (X + Y);
+ }
+ }
+ }
+ else
+ {
+ Ga = rk_standard_gamma(state, a);
+ Gb = rk_standard_gamma(state, b);
+ return Ga/(Ga + Gb);
+ }
+}
+
+double rk_chisquare(rk_state *state, double df)
+{
+ return 2.0*rk_standard_gamma(state, df/2.0);
+}
+
+double rk_noncentral_chisquare(rk_state *state, double df, double nonc)
+{
+ double Chi2, N;
+
+ Chi2 = rk_chisquare(state, df-1);
+ N = rk_gauss(state) + sqrt(nonc);
+ return Chi2 + N*N;
+}
+
+double rk_f(rk_state *state, double dfnum, double dfden)
+{
+ return rk_chisquare(state, dfnum) / rk_chisquare(state, dfden);
+}
+
+double rk_noncentral_f(rk_state *state, double dfnum, double dfden, double nonc)
+{
+ return ((rk_noncentral_chisquare(state, dfnum, nonc)*dfden) /
+ (rk_chisquare(state, dfden)*dfnum));
+}
+
+long rk_binomial_btpe(rk_state *state, long n, double p)
+{
+ double r,q,fm,p1,xm,xl,xr,c,laml,lamr,p2,p3,p4;
+ double a,u,v,s,F,rho,t,A,nrq,x1,x2,f1,f2,z,z2,w,w2,x;
+ long m,y,k,i;
+
+ if (!(state->has_binomial) ||
+ (state->nsave != n) ||
+ (state->psave != p))
+ {
+ /* initialize */
+ state->nsave = n;
+ state->psave = p;
+ state->has_binomial = 1;
+ state->r = r = min(p, 1.0-p);
+ state->q = q = 1.0 - r;
+ state->fm = fm = n*r+r;
+ state->m = m = (long)floor(state->fm);
+ state->p1 = p1 = floor(2.195*sqrt(n*r*q)-4.6*q) + 0.5;
+ state->xm = xm = m + 0.5;
+ state->xl = xl = xm - p1;
+ state->xr = xr = xm + p1;
+ state->c = c = 0.134 + 20.5/(15.3 + m);
+ a = (fm - xl)/(fm-xl*r);
+ state->laml = laml = a*(1.0 + a/2.0);
+ a = (xr - fm)/(xr*q);
+ state->lamr = lamr = a*(1.0 + a/2.0);
+ state->p2 = p2 = p1*(1.0 + 2.0*c);
+ state->p3 = p3 = p2 + c/laml;
+ state->p4 = p4 = p3 + c/lamr;
+ }
+ else
+ {
+ r = state->r;
+ q = state->q;
+ fm = state->fm;
+ m = state->m;
+ p1 = state->p1;
+ xm = state->xm;
+ xl = state->xl;
+ xr = state->xr;
+ c = state->c;
+ laml = state->laml;
+ lamr = state->lamr;
+ p2 = state->p2;
+ p3 = state->p3;
+ p4 = state->p4;
+ }
+
+ /* sigh ... */
+ Step10:
+ nrq = n*r*q;
+ u = rk_double(state)*p4;
+ v = rk_double(state);
+ if (u > p1) goto Step20;
+ y = (long)floor(xm - p1*v + u);
+ goto Step60;
+
+ Step20:
+ if (u > p2) goto Step30;
+ x = xl + (u - p1)/c;
+ v = v*c + 1.0 - fabs(m - x + 0.5)/p1;
+ if (v > 1.0) goto Step10;
+ y = (long)floor(x);
+ goto Step50;
+
+ Step30:
+ if (u > p3) goto Step40;
+ y = (long)floor(xl + log(v)/laml);
+ if (y < 0) goto Step10;
+ v = v*(u-p2)*laml;
+ goto Step50;
+
+ Step40:
+ y = (int)floor(xr - log(v)/lamr);
+ if (y > n) goto Step10;
+ v = v*(u-p3)*lamr;
+
+ Step50:
+ k = fabs(y - m);
+ if ((k > 20) && (k < ((nrq)/2.0 - 1))) goto Step52;
+
+ s = r/q;
+ a = s*(n+1);
+ F = 1.0;
+ if (m < y)
+ {
+ for (i=m; i<=y; i++)
+ {
+ F *= (a/i - s);
+ }
+ }
+ else if (m > y)
+ {
+ for (i=y; i<=m; i++)
+ {
+ F /= (a/i - s);
+ }
+ }
+ else
+ {
+ if (v > F) goto Step10;
+ goto Step60;
+ }
+
+ Step52:
+ rho = (k/(nrq))*((k*(k/3.0 + 0.625) + 0.16666666666666666)/nrq + 0.5);
+ t = -k*k/(2*nrq);
+ A = log(v);
+ if (A < (t - rho)) goto Step60;
+ if (A > (t + rho)) goto Step10;
+
+ x1 = y+1;
+ f1 = m+1;
+ z = n+1-m;
+ w = n-y+1;
+ x2 = x1*x1;
+ f2 = f1*f1;
+ z2 = z*z;
+ w2 = w*w;
+ if (A > (xm*log(f1/x1)
+ + (n-m+0.5)*log(z/w)
+ + (y-m)*log(w*r/(x1*q))
+ + (13680.-(462.-(132.-(99.-140./f2)/f2)/f2)/f2)/f1/166320.
+ + (13680.-(462.-(132.-(99.-140./z2)/z2)/z2)/z2)/z/166320.
+ + (13680.-(462.-(132.-(99.-140./x2)/x2)/x2)/x2)/x1/166320.
+ + (13680.-(462.-(132.-(99.-140./w2)/w2)/w2)/w2)/w/166320.))
+ {
+ goto Step10;
+ }
+
+ Step60:
+ if (p > 0.5)
+ {
+ y = n - y;
+ }
+
+ return y;
+}
+
+long rk_binomial_inversion(rk_state *state, long n, double p)
+{
+ double q, qn, np, px, U;
+ long X, bound;
+
+ if (!(state->has_binomial) ||
+ (state->nsave != n) ||
+ (state->psave != p))
+ {
+ state->nsave = n;
+ state->psave = p;
+ state->has_binomial = 1;
+ state->q = q = 1.0 - p;
+ state->r = qn = exp(n * log(q));
+ state->c = np = n*p;
+ state->m = bound = min(n, np + 10.0*sqrt(np));
+ } else
+ {
+ q = state->q;
+ qn = state->r;
+ np = state->c;
+ bound = state->m;
+ }
+ X = 0;
+ px = qn;
+ U = rk_double(state);
+ while (U > px)
+ {
+ X++;
+ if (X > bound)
+ {
+ X = 0;
+ px = qn;
+ U = rk_double(state);
+ } else
+ {
+ U -= px;
+ px = ((n-X+1) * p * px)/(X*q);
+ }
+ }
+ return X;
+}
+
+long rk_binomial(rk_state *state, long n, double p)
+{
+ double q;
+
+ if (p <= 0.5)
+ {
+ if (p*n <= 30.0)
+ {
+ return rk_binomial_inversion(state, n, p);
+ }
+ else
+ {
+ return rk_binomial_btpe(state, n, p);
+ }
+ }
+ else
+ {
+ q = 1.0-p;
+ if (q*n <= 30.0)
+ {
+ return n - rk_binomial_inversion(state, n, q);
+ }
+ else
+ {
+ return n - rk_binomial_btpe(state, n, q);
+ }
+ }
+
+}
+
+long rk_negative_binomial(rk_state *state, long n, double p)
+{
+ double Y;
+
+ Y = rk_gamma(state, n, (1-p)/p);
+ return rk_poisson(state, Y);
+}
+
+long rk_poisson_mult(rk_state *state, double lam)
+{
+ long X;
+ double prod, U, enlam;
+
+ enlam = exp(-lam);
+ X = 0;
+ prod = 1.0;
+ while (1)
+ {
+ U = rk_double(state);
+ prod *= U;
+ if (prod > enlam)
+ {
+ X += 1;
+ }
+ else
+ {
+ return X;
+ }
+ }
+}
+
+#define LS2PI 0.91893853320467267
+#define TWELFTH 0.083333333333333333333333
+long rk_poisson_ptrs(rk_state *state, double lam)
+{
+ long k;
+ double U, V, slam, loglam, a, b, invalpha, vr, us;
+
+ slam = sqrt(lam);
+ loglam = log(lam);
+ b = 0.931 + 2.53*slam;
+ a = -0.059 + 0.02483*b;
+ invalpha = 1.1239 + 1.1328/(b-3.4);
+ vr = 0.9277 - 3.6224/(b-2);
+
+ while (1)
+ {
+ U = rk_double(state) - 0.5;
+ V = rk_double(state);
+ us = 0.5 - fabs(U);
+ k = (long)floor((2*a/us + b)*U + lam + 0.43);
+ if ((us >= 0.07) && (V <= vr))
+ {
+ return k;
+ }
+ if ((k < 0) ||
+ ((us < 0.013) && (V > us)))
+ {
+ continue;
+ }
+ if ((log(V) + log(invalpha) - log(a/(us*us)+b)) <=
+ (-lam + k*loglam - loggam(k+1)))
+ {
+ return k;
+ }
+
+
+ }
+
+}
+
+long rk_poisson(rk_state *state, double lam)
+{
+ if (lam >= 10)
+ {
+ return rk_poisson_ptrs(state, lam);
+ }
+ else if (lam == 0)
+ {
+ return 0;
+ }
+ else
+ {
+ return rk_poisson_mult(state, lam);
+ }
+}
+
+double rk_standard_cauchy(rk_state *state)
+{
+ return rk_gauss(state) / rk_gauss(state);
+}
+
+double rk_standard_t(rk_state *state, double df)
+{
+ double N, G, X;
+
+ N = rk_gauss(state);
+ G = rk_standard_gamma(state, df/2);
+ X = sqrt(df/2)*N/sqrt(G);
+ return X;
+}
+
+double rk_vonmises(rk_state *state, double mu, double kappa)
+{
+ double r, rho, s;
+ double U, V, W, Y, Z;
+ double result, mod;
+
+ if (kappa < 1e-8)
+ {
+ return M_PI * (2*rk_double(state)-1);
+ }
+ else
+ {
+ r = 1 + sqrt(1 + 4*kappa*kappa);
+ rho = (r - sqrt(2*r))/(2*kappa);
+ s = (1 + rho*rho)/(2*rho);
+
+ while (1)
+ {
+ U = 2*rk_double(state) - 1;
+ V = 2*rk_double(state) - 1;
+ Z = cos(M_PI*U);
+ W = (1 + s*Z)/(s + Z);
+ Y = kappa * (s - W);
+ if ((Y*(2-Y) - V >= 0) || (log(Y/V)+1 - Y >= 0))
+ {
+ break;
+ }
+ }
+
+ if (U < 0)
+ {
+ result = acos(W);
+ }
+ else
+ {
+ result = -acos(W);
+ }
+ result += mu + M_PI;
+ mod = fmod(result, 2*M_PI);
+ if (mod && (mod < 0))
+ {
+ mod += 2*M_PI;
+ }
+ return mod - M_PI;
+ }
+}
+
+double rk_pareto(rk_state *state, double a)
+{
+ return exp(rk_standard_exponential(state)/a) - 1;
+}
+
+double rk_weibull(rk_state *state, double a)
+{
+ return pow(rk_standard_exponential(state), 1./a);
+}
+
+double rk_power(rk_state *state, double a)
+{
+ return pow(1 - exp(-rk_standard_exponential(state)), 1./a);
+}
+
+double rk_laplace(rk_state *state, double loc, double scale)
+{
+ double U;
+
+ U = rk_double(state);
+ if (U < 0.5)
+ {
+ U = loc + scale * log(U + U);
+ } else
+ {
+ U = loc - scale * log(2.0 - U - U);
+ }
+ return U;
+}
+
+double rk_gumbel(rk_state *state, double loc, double scale)
+{
+ double U;
+
+ U = 1.0 - rk_double(state);
+ return loc - scale * log(-log(U));
+}
+
+double rk_logistic(rk_state *state, double loc, double scale)
+{
+ double U;
+
+ U = rk_double(state);
+ return loc + scale * log(U/(1.0 - U));
+}
+
+double rk_lognormal(rk_state *state, double mean, double sigma)
+{
+ return exp(rk_normal(state, mean, sigma));
+}
+
+double rk_rayleigh(rk_state *state, double mode)
+{
+ return mode*sqrt(-2.0 * log(1.0 - rk_double(state)));
+}
+
+double rk_wald(rk_state *state, double mean, double scale)
+{
+ double U, X, Y;
+ double mu_2l;
+
+ mu_2l = mean / (2*scale);
+ Y = rk_gauss(state);
+ Y = mean*Y*Y;
+ X = mean + mu_2l*(Y - sqrt(4*scale*Y + Y*Y));
+ U = rk_double(state);
+ if (U <= mean/(mean+X))
+ {
+ return X;
+ } else
+ {
+ return mean*mean/X;
+ }
+}
+
+long rk_zipf(rk_state *state, double a)
+{
+ double T, U, V;
+ long X;
+ double b;
+
+ b = pow(2.0, a-1.0);
+ do
+ {
+ U = rk_double(state);
+ V = rk_double(state);
+ X = (long)floor(pow(U, -1.0/(a-1.0)));
+ T = pow(1.0 + 1.0/X, a-1.0);
+ } while ((V *X*(T-1.0)/(b-1.0)) > (T/b));
+ return X;
+}
+
+long rk_geometric_search(rk_state *state, double p)
+{
+ double U;
+ long X;
+ double sum, prod, q;
+
+ X = 1;
+ sum = prod = p;
+ q = 1.0 - p;
+ U = rk_double(state);
+ while (U > sum)
+ {
+ prod *= q;
+ sum += prod;
+ X++;
+ }
+ return X;
+}
+
+long rk_geometric_inversion(rk_state *state, double p)
+{
+ return (long)ceil(log(1.0-rk_double(state))/log(1.0-p));
+}
+
+long rk_geometric(rk_state *state, double p)
+{
+ if (p >= 0.333333333333333333333333)
+ {
+ return rk_geometric_search(state, p);
+ } else
+ {
+ return rk_geometric_inversion(state, p);
+ }
+}
+
+long rk_hypergeometric_hyp(rk_state *state, long good, long bad, long sample)
+{
+ long d1, K, Z;
+ double d2, U, Y;
+
+ d1 = bad + good - sample;
+ d2 = (double)min(bad, good);
+
+ Y = d2;
+ K = sample;
+ while (Y > 0.0)
+ {
+ U = rk_double(state);
+ Y -= (long)floor(U + Y/(d1 + K));
+ K--;
+ if (K == 0) break;
+ }
+ Z = (long)(d2 - Y);
+ if (bad > good) Z = sample - Z;
+ return Z;
+}
+
+/* D1 = 2*sqrt(2/e) */
+/* D2 = 3 - 2*sqrt(3/e) */
+#define D1 1.7155277699214135
+#define D2 0.8989161620588988
+long rk_hypergeometric_hrua(rk_state *state, long good, long bad, long sample)
+{
+ long mingoodbad, maxgoodbad, popsize, m, d9;
+ double d4, d5, d6, d7, d8, d10, d11;
+ long Z;
+ double T, W, X, Y;
+
+ mingoodbad = min(good, bad);
+ popsize = good + bad;
+ maxgoodbad = max(good, bad);
+ m = min(sample, popsize - sample);
+ d4 = ((double)mingoodbad) / popsize;
+ d5 = 1.0 - d4;
+ d6 = m*d4 + 0.5;
+ d7 = sqrt((popsize - m) * sample * d4 *d5 / (popsize-1) + 0.5);
+ d8 = D1*d7 + D2;
+ d9 = (long)floor((double)((m+1)*(mingoodbad+1))/(popsize+2));
+ d10 = (loggam(d9+1) + loggam(mingoodbad-d9+1) + loggam(m-d9+1) +
+ loggam(maxgoodbad-m+d9+1));
+ d11 = min(min(m, mingoodbad)+1.0, floor(d6+16*d7));
+ /* 16 for 16-decimal-digit precision in D1 and D2 */
+
+ while (1)
+ {
+ X = rk_double(state);
+ Y = rk_double(state);
+ W = d6 + d8*(Y- 0.5)/X;
+
+ /* fast rejection: */
+ if ((W < 0.0) || (W >= d11)) continue;
+
+ Z = (long)floor(W);
+ T = d10 - (loggam(Z+1) + loggam(mingoodbad-Z+1) + loggam(m-Z+1) +
+ loggam(maxgoodbad-m+Z+1));
+
+ /* fast acceptance: */
+ if ((X*(4.0-X)-3.0) <= T) break;
+
+ /* fast rejection: */
+ if (X*(X-T) >= 1) continue;
+
+ if (2.0*log(X) <= T) break; /* acceptance */
+ }
+
+ /* this is a correction to HRUA* by Ivan Frohne in rv.py */
+ if (bad > good) Z = m - Z;
+
+ /* another fix from rv.py to allow sample to exceed popsize/2 */
+ if (m < sample) Z = bad - Z;
+
+ return Z;
+}
+#undef D1
+#undef D2
+
+long rk_hypergeometric(rk_state *state, long good, long bad, long sample)
+{
+ if (sample > 10)
+ {
+ return rk_hypergeometric_hrua(state, good, bad, sample);
+ } else
+ {
+ return rk_hypergeometric_hyp(state, good, bad, sample);
+ }
+}
+
+double rk_triangular(rk_state *state, double left, double mode, double right)
+{
+ double base, leftbase, ratio, leftprod, rightprod;
+ double U;
+
+ base = right - left;
+ leftbase = mode - left;
+ ratio = leftbase / base;
+ leftprod = leftbase*base;
+ rightprod = (right - mode)*base;
+
+ U = rk_double(state);
+ if (U <= ratio)
+ {
+ return left + sqrt(U*leftprod);
+ } else
+ {
+ return right - sqrt((1.0 - U) * rightprod);
+ }
+}
+
+long rk_logseries(rk_state *state, double p)
+{
+ double q, r, U, V;
+
+ r = log(1.0 - p);
+
+ V = rk_double(state);
+ if (V >= p) return 1;
+ U = rk_double(state);
+ q = 1.0 - exp(r*U);
+ if (V <= q*q) return (long)floor(1 + log(V)/log(q));
+ if (V <= q) return 1;
+ return 2;
+}
diff --git a/numpy/random/mtrand/distributions.h b/numpy/random/mtrand/distributions.h
new file mode 100644
index 000000000..0d6de639d
--- /dev/null
+++ b/numpy/random/mtrand/distributions.h
@@ -0,0 +1,185 @@
+/* Copyright 2005 Robert Kern (robert.kern@gmail.com)
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+#ifndef _RK_DISTR_
+#define _RK_DISTR_
+
+#include "randomkit.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/* References:
+ *
+ * Devroye, Luc. _Non-Uniform Random Variate Generation_.
+ * Springer-Verlag, New York, 1986.
+ * http://cgm.cs.mcgill.ca/~luc/rnbookindex.html
+ *
+ * Kachitvichyanukul, V. and Schmeiser, B. W. Binomial Random Variate
+ * Generation. Communications of the ACM, 31, 2 (February, 1988) 216.
+ *
+ * Hoermann, W. The Transformed Rejection Method for Generating Poisson Random
+ * Variables. Insurance: Mathematics and Economics, (to appear)
+ * http://citeseer.csail.mit.edu/151115.html
+ *
+ * Marsaglia, G. and Tsang, W. W. A Simple Method for Generating Gamma
+ * Variables. ACM Transactions on Mathematical Software, Vol. 26, No. 3,
+ * September 2000, Pages 363–372.
+ */
+
+/* Normal distribution with mean=loc and standard deviation=scale. */
+extern double rk_normal(rk_state *state, double loc, double scale);
+
+/* Standard exponential distribution (mean=1) computed by inversion of the
+ * CDF. */
+extern double rk_standard_exponential(rk_state *state);
+
+/* Exponential distribution with mean=scale. */
+extern double rk_exponential(rk_state *state, double scale);
+
+/* Uniform distribution on interval [loc, loc+scale). */
+extern double rk_uniform(rk_state *state, double loc, double scale);
+
+/* Standard gamma distribution with shape parameter.
+ * When shape < 1, the algorithm given by (Devroye p. 304) is used.
+ * When shape == 1, a Exponential variate is generated.
+ * When shape > 1, the small and fast method of (Marsaglia and Tsang 2000)
+ * is used.
+ */
+extern double rk_standard_gamma(rk_state *state, double shape);
+
+/* Gamma distribution with shape and scale. */
+extern double rk_gamma(rk_state *state, double shape, double scale);
+
+/* Beta distribution computed by combining two gamma variates (Devroye p. 432).
+ */
+extern double rk_beta(rk_state *state, double a, double b);
+
+/* Chi^2 distribution computed by transforming a gamma variate (it being a
+ * special case Gamma(df/2, 2)). */
+extern double rk_chisquare(rk_state *state, double df);
+
+/* Noncentral Chi^2 distribution computed by modifying a Chi^2 variate. */
+extern double rk_noncentral_chisquare(rk_state *state, double df, double nonc);
+
+/* F distribution computed by taking the ratio of two Chi^2 variates. */
+extern double rk_f(rk_state *state, double dfnum, double dfden);
+
+/* Noncentral F distribution computed by taking the ratio of a noncentral Chi^2
+ * and a Chi^2 variate. */
+extern double rk_noncentral_f(rk_state *state, double dfnum, double dfden, double nonc);
+
+/* Binomial distribution with n Bernoulli trials with success probability p.
+ * When n*p <= 30, the "Second waiting time method" given by (Devroye p. 525) is
+ * used. Otherwise, the BTPE algorithm of (Kachitvichyanukul and Schmeiser 1988)
+ * is used. */
+extern long rk_binomial(rk_state *state, long n, double p);
+
+/* Binomial distribution using BTPE. */
+extern long rk_binomial_btpe(rk_state *state, long n, double p);
+
+/* Binomial distribution using inversion and chop-down */
+extern long rk_binomial_inversion(rk_state *state, long n, double p);
+
+/* Negative binomial distribution computed by generating a Gamma(n, (1-p)/p)
+ * variate Y and returning a Poisson(Y) variate (Devroye p. 543). */
+extern long rk_negative_binomial(rk_state *state, long n, double p);
+
+/* Poisson distribution with mean=lam.
+ * When lam < 10, a basic algorithm using repeated multiplications of uniform
+ * variates is used (Devroye p. 504).
+ * When lam >= 10, algorithm PTRS from (Hoermann 1992) is used.
+ */
+extern long rk_poisson(rk_state *state, double lam);
+
+/* Poisson distribution computed by repeated multiplication of uniform variates.
+ */
+extern long rk_poisson_mult(rk_state *state, double lam);
+
+/* Poisson distribution computer by the PTRS algorithm. */
+extern long rk_poisson_ptrs(rk_state *state, double lam);
+
+/* Standard Cauchy distribution computed by dividing standard gaussians
+ * (Devroye p. 451). */
+extern double rk_standard_cauchy(rk_state *state);
+
+/* Standard t-distribution with df degrees of freedom (Devroye p. 445 as
+ * corrected in the Errata). */
+extern double rk_standard_t(rk_state *state, double df);
+
+/* von Mises circular distribution with center mu and shape kappa on [-pi,pi]
+ * (Devroye p. 476 as corrected in the Errata). */
+extern double rk_vonmises(rk_state *state, double mu, double kappa);
+
+/* Pareto distribution via inversion (Devroye p. 262) */
+extern double rk_pareto(rk_state *state, double a);
+
+/* Weibull distribution via inversion (Devroye p. 262) */
+extern double rk_weibull(rk_state *state, double a);
+
+/* Power distribution via inversion (Devroye p. 262) */
+extern double rk_power(rk_state *state, double a);
+
+/* Laplace distribution */
+extern double rk_laplace(rk_state *state, double loc, double scale);
+
+/* Gumbel distribution */
+extern double rk_gumbel(rk_state *state, double loc, double scale);
+
+/* Logistic distribution */
+extern double rk_logistic(rk_state *state, double loc, double scale);
+
+/* Log-normal distribution */
+extern double rk_lognormal(rk_state *state, double mean, double sigma);
+
+/* Rayleigh distribution */
+extern double rk_rayleigh(rk_state *state, double mode);
+
+/* Wald distribution */
+extern double rk_wald(rk_state *state, double mean, double scale);
+
+/* Zipf distribution */
+extern long rk_zipf(rk_state *state, double a);
+
+/* Geometric distribution */
+extern long rk_geometric(rk_state *state, double p);
+extern long rk_geometric_search(rk_state *state, double p);
+extern long rk_geometric_inversion(rk_state *state, double p);
+
+/* Hypergeometric distribution */
+extern long rk_hypergeometric(rk_state *state, long good, long bad, long sample);
+extern long rk_hypergeometric_hyp(rk_state *state, long good, long bad, long sample);
+extern long rk_hypergeometric_hrua(rk_state *state, long good, long bad, long sample);
+
+/* Triangular distribution */
+extern double rk_triangular(rk_state *state, double left, double mode, double right);
+
+/* Logarithmic series distribution */
+extern long rk_logseries(rk_state *state, double p);
+
+#ifdef __cplusplus
+}
+#endif
+
+
+#endif /* _RK_DISTR_ */
diff --git a/numpy/random/mtrand/generate_mtrand_c.py b/numpy/random/mtrand/generate_mtrand_c.py
new file mode 100644
index 000000000..8eb6254f2
--- /dev/null
+++ b/numpy/random/mtrand/generate_mtrand_c.py
@@ -0,0 +1,37 @@
+#!/usr/bin/env python
+import sys
+import re
+import os
+
+unused_internal_funcs = ['__Pyx_PrintItem',
+ '__Pyx_PrintNewline',
+ '__Pyx_ReRaise',
+ #'__Pyx_GetExcValue',
+ '__Pyx_ArgTypeTest',
+ '__Pyx_SetVtable',
+ '__Pyx_GetVtable',
+ '__Pyx_CreateClass']
+
+if __name__ == '__main__':
+ os.system('pyrexc mtrand.pyx')
+ mtrand_c = open('mtrand.c', 'r')
+ processed = open('mtrand_pp.c', 'w')
+ unused_funcs_str = '(' + '|'.join(unused_internal_funcs) + ')'
+ uifpat = re.compile(r'static \w+ \*?'+unused_funcs_str+r'.*/\*proto\*/')
+ for linenum, line in enumerate(mtrand_c):
+ m = re.match(r'^(\s+arrayObject\w*\s*=\s*[(])[(]PyObject\s*[*][)]',
+ line)
+ if m:
+ line = '%s(PyArrayObject *)%s' % (m.group(1), line[m.end():])
+ m = uifpat.match(line)
+ if m:
+ line = ''
+ m = re.search(unused_funcs_str, line)
+ if m:
+ print >>sys.stderr, \
+ "%s was declared unused, but is used at line %d" % (m.group(),
+ linenum+1)
+ processed.write(line)
+ mtrand_c.close()
+ processed.close()
+ os.rename('mtrand_pp.c', 'mtrand.c')
diff --git a/numpy/random/mtrand/initarray.c b/numpy/random/mtrand/initarray.c
new file mode 100644
index 000000000..07ad2cc4f
--- /dev/null
+++ b/numpy/random/mtrand/initarray.c
@@ -0,0 +1,136 @@
+/* These function have been adapted from Python 2.4.1's _randommodule.c
+
+ The following changes have been made to it in 2005 by Robert Kern:
+
+ * init_by_array has been declared extern, has a void return, and uses the
+ rk_state structure to hold its data.
+
+ The original file has the following verbatim comments:
+
+ ------------------------------------------------------------------
+ The code in this module was based on a download from:
+ http://www.math.keio.ac.jp/~matumoto/MT2002/emt19937ar.html
+
+ It was modified in 2002 by Raymond Hettinger as follows:
+
+ * the principal computational lines untouched except for tabbing.
+
+ * renamed genrand_res53() to random_random() and wrapped
+ in python calling/return code.
+
+ * genrand_int32() and the helper functions, init_genrand()
+ and init_by_array(), were declared static, wrapped in
+ Python calling/return code. also, their global data
+ references were replaced with structure references.
+
+ * unused functions from the original were deleted.
+ new, original C python code was added to implement the
+ Random() interface.
+
+ The following are the verbatim comments from the original code:
+
+ A C-program for MT19937, with initialization improved 2002/1/26.
+ Coded by Takuji Nishimura and Makoto Matsumoto.
+
+ Before using, initialize the state by using init_genrand(seed)
+ or init_by_array(init_key, key_length).
+
+ Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
+ All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without
+ modification, are permitted provided that the following conditions
+ are met:
+
+ 1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+
+ 2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+ 3. The names of its contributors may not be used to endorse or promote
+ products derived from this software without specific prior written
+ permission.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+
+ Any feedback is very welcome.
+ http://www.math.keio.ac.jp/matumoto/emt.html
+ email: matumoto@math.keio.ac.jp
+*/
+
+#include "initarray.h"
+
+static void
+init_genrand(rk_state *self, unsigned long s);
+
+/* initializes mt[RK_STATE_LEN] with a seed */
+static void
+init_genrand(rk_state *self, unsigned long s)
+{
+ int mti;
+ unsigned long *mt;
+
+ mt = self->key;
+ mt[0]= s & 0xffffffffUL;
+ for (mti=1; mti<RK_STATE_LEN; mti++) {
+ mt[mti] =
+ (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
+ /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
+ /* In the previous versions, MSBs of the seed affect */
+ /* only MSBs of the array mt[]. */
+ /* 2002/01/09 modified by Makoto Matsumoto */
+ mt[mti] &= 0xffffffffUL;
+ /* for >32 bit machines */
+ }
+ self->pos = mti;
+ return;
+}
+
+
+/* initialize by an array with array-length */
+/* init_key is the array for initializing keys */
+/* key_length is its length */
+extern void
+init_by_array(rk_state *self, unsigned long init_key[], unsigned long key_length)
+{
+ unsigned int i, j, k; /* was signed in the original code. RDH 12/16/2002 */
+ unsigned long *mt;
+
+ mt = self->key;
+ init_genrand(self, 19650218UL);
+ i=1; j=0;
+ k = (RK_STATE_LEN>key_length ? RK_STATE_LEN : key_length);
+ for (; k; k--) {
+ mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
+ + init_key[j] + j; /* non linear */
+ mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
+ i++; j++;
+ if (i>=RK_STATE_LEN) { mt[0] = mt[RK_STATE_LEN-1]; i=1; }
+ if (j>=key_length) j=0;
+ }
+ for (k=RK_STATE_LEN-1; k; k--) {
+ mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
+ - i; /* non linear */
+ mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
+ i++;
+ if (i>=RK_STATE_LEN) { mt[0] = mt[RK_STATE_LEN-1]; i=1; }
+ }
+
+ mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
+ self->has_gauss = 0;
+ self->has_binomial = 0;
+}
+
diff --git a/numpy/random/mtrand/initarray.h b/numpy/random/mtrand/initarray.h
new file mode 100644
index 000000000..a4ac210f4
--- /dev/null
+++ b/numpy/random/mtrand/initarray.h
@@ -0,0 +1,6 @@
+#include "randomkit.h"
+
+extern void
+init_by_array(rk_state *self, unsigned long init_key[],
+ unsigned long key_length);
+
diff --git a/numpy/random/mtrand/mtrand.c b/numpy/random/mtrand/mtrand.c
new file mode 100644
index 000000000..17aaeb4bf
--- /dev/null
+++ b/numpy/random/mtrand/mtrand.c
@@ -0,0 +1,10907 @@
+/* Generated by Pyrex 0.9.5.1a on Mon Apr 2 09:24:19 2007 */
+
+#include "Python.h"
+#include "structmember.h"
+#ifndef PY_LONG_LONG
+ #define PY_LONG_LONG LONG_LONG
+#endif
+#ifdef __cplusplus
+#define __PYX_EXTERN_C extern "C"
+#else
+#define __PYX_EXTERN_C extern
+#endif
+__PYX_EXTERN_C double pow(double, double);
+#include "string.h"
+#include "math.h"
+#include "numpy/arrayobject.h"
+#include "randomkit.h"
+#include "distributions.h"
+#include "initarray.h"
+
+
+typedef struct {PyObject **p; char *s;} __Pyx_InternTabEntry; /*proto*/
+typedef struct {PyObject **p; char *s; long n;} __Pyx_StringTabEntry; /*proto*/
+
+static PyObject *__pyx_m;
+static PyObject *__pyx_b;
+static int __pyx_lineno;
+static char *__pyx_filename;
+static char **__pyx_f;
+
+static int __Pyx_GetStarArgs(PyObject **args, PyObject **kwds, char *kwd_list[], int nargs, PyObject **args2, PyObject **kwds2); /*proto*/
+
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list); /*proto*/
+
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+ {"lognormal", (PyCFunction)__pyx_f_6mtrand_11RandomState_lognormal, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_lognormal},
+ {"rayleigh", (PyCFunction)__pyx_f_6mtrand_11RandomState_rayleigh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_rayleigh},
+ {"wald", (PyCFunction)__pyx_f_6mtrand_11RandomState_wald, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_wald},
+ {"triangular", (PyCFunction)__pyx_f_6mtrand_11RandomState_triangular, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_triangular},
+ {"binomial", (PyCFunction)__pyx_f_6mtrand_11RandomState_binomial, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_binomial},
+ {"negative_binomial", (PyCFunction)__pyx_f_6mtrand_11RandomState_negative_binomial, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_negative_binomial},
+ {"poisson", (PyCFunction)__pyx_f_6mtrand_11RandomState_poisson, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_poisson},
+ {"zipf", (PyCFunction)__pyx_f_6mtrand_11RandomState_zipf, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_zipf},
+ {"geometric", (PyCFunction)__pyx_f_6mtrand_11RandomState_geometric, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_geometric},
+ {"hypergeometric", (PyCFunction)__pyx_f_6mtrand_11RandomState_hypergeometric, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_hypergeometric},
+ {"logseries", (PyCFunction)__pyx_f_6mtrand_11RandomState_logseries, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_logseries},
+ {"multivariate_normal", (PyCFunction)__pyx_f_6mtrand_11RandomState_multivariate_normal, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_multivariate_normal},
+ {"multinomial", (PyCFunction)__pyx_f_6mtrand_11RandomState_multinomial, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_multinomial},
+ {"dirichlet", (PyCFunction)__pyx_f_6mtrand_11RandomState_dirichlet, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_dirichlet},
+ {"shuffle", (PyCFunction)__pyx_f_6mtrand_11RandomState_shuffle, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_shuffle},
+ {"permutation", (PyCFunction)__pyx_f_6mtrand_11RandomState_permutation, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6mtrand_11RandomState_permutation},
+ {0, 0, 0, 0}
+};
+
+static PyNumberMethods __pyx_tp_as_number_RandomState = {
+ 0, /*nb_add*/
+ 0, /*nb_subtract*/
+ 0, /*nb_multiply*/
+ 0, /*nb_divide*/
+ 0, /*nb_remainder*/
+ 0, /*nb_divmod*/
+ 0, /*nb_power*/
+ 0, /*nb_negative*/
+ 0, /*nb_positive*/
+ 0, /*nb_absolute*/
+ 0, /*nb_nonzero*/
+ 0, /*nb_invert*/
+ 0, /*nb_lshift*/
+ 0, /*nb_rshift*/
+ 0, /*nb_and*/
+ 0, /*nb_xor*/
+ 0, /*nb_or*/
+ 0, /*nb_coerce*/
+ 0, /*nb_int*/
+ 0, /*nb_long*/
+ 0, /*nb_float*/
+ 0, /*nb_oct*/
+ 0, /*nb_hex*/
+ 0, /*nb_inplace_add*/
+ 0, /*nb_inplace_subtract*/
+ 0, /*nb_inplace_multiply*/
+ 0, /*nb_inplace_divide*/
+ 0, /*nb_inplace_remainder*/
+ 0, /*nb_inplace_power*/
+ 0, /*nb_inplace_lshift*/
+ 0, /*nb_inplace_rshift*/
+ 0, /*nb_inplace_and*/
+ 0, /*nb_inplace_xor*/
+ 0, /*nb_inplace_or*/
+ 0, /*nb_floor_divide*/
+ 0, /*nb_true_divide*/
+ 0, /*nb_inplace_floor_divide*/
+ 0, /*nb_inplace_true_divide*/
+};
+
+static PySequenceMethods __pyx_tp_as_sequence_RandomState = {
+ 0, /*sq_length*/
+ 0, /*sq_concat*/
+ 0, /*sq_repeat*/
+ 0, /*sq_item*/
+ 0, /*sq_slice*/
+ 0, /*sq_ass_item*/
+ 0, /*sq_ass_slice*/
+ 0, /*sq_contains*/
+ 0, /*sq_inplace_concat*/
+ 0, /*sq_inplace_repeat*/
+};
+
+static PyMappingMethods __pyx_tp_as_mapping_RandomState = {
+ 0, /*mp_length*/
+ 0, /*mp_subscript*/
+ 0, /*mp_ass_subscript*/
+};
+
+static PyBufferProcs __pyx_tp_as_buffer_RandomState = {
+ 0, /*bf_getreadbuffer*/
+ 0, /*bf_getwritebuffer*/
+ 0, /*bf_getsegcount*/
+ 0, /*bf_getcharbuffer*/
+};
+
+PyTypeObject __pyx_type_6mtrand_RandomState = {
+ PyObject_HEAD_INIT(0)
+ 0, /*ob_size*/
+ "mtrand.RandomState", /*tp_name*/
+ sizeof(struct __pyx_obj_6mtrand_RandomState), /*tp_basicsize*/
+ 0, /*tp_itemsize*/
+ __pyx_tp_dealloc_6mtrand_RandomState, /*tp_dealloc*/
+ 0, /*tp_print*/
+ 0, /*tp_getattr*/
+ 0, /*tp_setattr*/
+ 0, /*tp_compare*/
+ 0, /*tp_repr*/
+ &__pyx_tp_as_number_RandomState, /*tp_as_number*/
+ &__pyx_tp_as_sequence_RandomState, /*tp_as_sequence*/
+ &__pyx_tp_as_mapping_RandomState, /*tp_as_mapping*/
+ 0, /*tp_hash*/
+ 0, /*tp_call*/
+ 0, /*tp_str*/
+ 0, /*tp_getattro*/
+ 0, /*tp_setattro*/
+ &__pyx_tp_as_buffer_RandomState, /*tp_as_buffer*/
+ Py_TPFLAGS_DEFAULT|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
+ "Container for the Mersenne Twister PRNG.\n\n Constructor\n -----------\n RandomState(seed=None): initializes the PRNG with the given seed. See the\n seed() method for details.\n\n Distribution Methods\n -----------------\n RandomState exposes a number of methods for generating random numbers drawn\n from a variety of probability distributions. In addition to the\n distribution-specific arguments, each method takes a keyword argument\n size=None. If size is None, then a single value is generated and returned.\n If size is an integer, then a 1-D numpy array filled with generated values\n is returned. If size is a tuple, then a numpy array with that shape is\n filled and returned.\n ", /*tp_doc*/
+ __pyx_tp_traverse_6mtrand_RandomState, /*tp_traverse*/
+ __pyx_tp_clear_6mtrand_RandomState, /*tp_clear*/
+ 0, /*tp_richcompare*/
+ 0, /*tp_weaklistoffset*/
+ 0, /*tp_iter*/
+ 0, /*tp_iternext*/
+ __pyx_methods_6mtrand_RandomState, /*tp_methods*/
+ 0, /*tp_members*/
+ 0, /*tp_getset*/
+ 0, /*tp_base*/
+ 0, /*tp_dict*/
+ 0, /*tp_descr_get*/
+ 0, /*tp_descr_set*/
+ 0, /*tp_dictoffset*/
+ __pyx_f_6mtrand_11RandomState___init__, /*tp_init*/
+ 0, /*tp_alloc*/
+ __pyx_tp_new_6mtrand_RandomState, /*tp_new*/
+ 0, /*tp_free*/
+ 0, /*tp_is_gc*/
+ 0, /*tp_bases*/
+ 0, /*tp_mro*/
+ 0, /*tp_cache*/
+ 0, /*tp_subclasses*/
+ 0, /*tp_weaklist*/
+};
+
+static struct PyMethodDef __pyx_methods[] = {
+ {0, 0, 0, 0}
+};
+
+static void __pyx_init_filenames(void); /*proto*/
+
+PyMODINIT_FUNC initmtrand(void); /*proto*/
+PyMODINIT_FUNC initmtrand(void) {
+ PyObject *__pyx_1 = 0;
+ PyObject *__pyx_2 = 0;
+ PyObject *__pyx_3 = 0;
+ PyObject *__pyx_4 = 0;
+ PyObject *__pyx_5 = 0;
+ PyObject *__pyx_6 = 0;
+ PyObject *__pyx_7 = 0;
+ PyObject *__pyx_8 = 0;
+ PyObject *__pyx_9 = 0;
+ PyObject *__pyx_10 = 0;
+ PyObject *__pyx_11 = 0;
+ PyObject *__pyx_12 = 0;
+ PyObject *__pyx_13 = 0;
+ PyObject *__pyx_14 = 0;
+ PyObject *__pyx_15 = 0;
+ PyObject *__pyx_16 = 0;
+ PyObject *__pyx_17 = 0;
+ PyObject *__pyx_18 = 0;
+ __pyx_init_filenames();
+ __pyx_m = Py_InitModule4("mtrand", __pyx_methods, 0, 0, PYTHON_API_VERSION);
+ if (!__pyx_m) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 25; goto __pyx_L1;};
+ __pyx_b = PyImport_AddModule("__builtin__");
+ if (!__pyx_b) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 25; goto __pyx_L1;};
+ if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 25; goto __pyx_L1;};
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+ if (PyType_Ready(&__pyx_type_6mtrand_RandomState) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 468; goto __pyx_L1;}
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+ /* "/Users/dave/Stuff/Projects/numpy/trunk/numpy/random/mtrand/mtrand.pyx":488 */
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+ /* "/Users/dave/Stuff/Projects/numpy/trunk/numpy/random/mtrand/mtrand.pyx":498 */
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+ /* "/Users/dave/Stuff/Projects/numpy/trunk/numpy/random/mtrand/mtrand.pyx":578 */
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+ goto raise_error;
+ }
+ /* Normalize to raise <class>, <instance> */
+ Py_DECREF(value);
+ value = type;
+ if (PyInstance_Check(type))
+ type = (PyObject*) ((PyInstanceObject*)type)->in_class;
+ else
+ type = (PyObject*) type->ob_type;
+ Py_INCREF(type);
+ }
+ PyErr_Restore(type, value, tb);
+ return;
+raise_error:
+ Py_XDECREF(value);
+ Py_XDECREF(type);
+ Py_XDECREF(tb);
+ return;
+}
+
+static void __Pyx_UnpackError(void) {
+ PyErr_SetString(PyExc_ValueError, "unpack sequence of wrong size");
+}
+
+static PyObject *__Pyx_UnpackItem(PyObject *iter) {
+ PyObject *item;
+ if (!(item = PyIter_Next(iter))) {
+ if (!PyErr_Occurred())
+ __Pyx_UnpackError();
+ }
+ return item;
+}
+
+static int __Pyx_EndUnpack(PyObject *iter) {
+ PyObject *item;
+ if ((item = PyIter_Next(iter))) {
+ Py_DECREF(item);
+ __Pyx_UnpackError();
+ return -1;
+ }
+ else if (!PyErr_Occurred())
+ return 0;
+ else
+ return -1;
+}
+
+static PyObject *__Pyx_GetExcValue(void) {
+ PyObject *type = 0, *value = 0, *tb = 0;
+ PyObject *result = 0;
+ PyThreadState *tstate = PyThreadState_Get();
+ PyErr_Fetch(&type, &value, &tb);
+ PyErr_NormalizeException(&type, &value, &tb);
+ if (PyErr_Occurred())
+ goto bad;
+ if (!value) {
+ value = Py_None;
+ Py_INCREF(value);
+ }
+ Py_XDECREF(tstate->exc_type);
+ Py_XDECREF(tstate->exc_value);
+ Py_XDECREF(tstate->exc_traceback);
+ tstate->exc_type = type;
+ tstate->exc_value = value;
+ tstate->exc_traceback = tb;
+ result = value;
+ Py_XINCREF(result);
+ type = 0;
+ value = 0;
+ tb = 0;
+bad:
+ Py_XDECREF(type);
+ Py_XDECREF(value);
+ Py_XDECREF(tb);
+ return result;
+}
+
+static int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
+ if (!type) {
+ PyErr_Format(PyExc_SystemError, "Missing type object");
+ return 0;
+ }
+ if (obj == Py_None || PyObject_TypeCheck(obj, type))
+ return 1;
+ PyErr_Format(PyExc_TypeError, "Cannot convert %s to %s",
+ obj->ob_type->tp_name, type->tp_name);
+ return 0;
+}
+
+static int __Pyx_InternStrings(__Pyx_InternTabEntry *t) {
+ while (t->p) {
+ *t->p = PyString_InternFromString(t->s);
+ if (!*t->p)
+ return -1;
+ ++t;
+ }
+ return 0;
+}
+
+static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
+ while (t->p) {
+ *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
+ if (!*t->p)
+ return -1;
+ ++t;
+ }
+ return 0;
+}
+
+static PyTypeObject *__Pyx_ImportType(char *module_name, char *class_name,
+ long size)
+{
+ PyObject *py_module_name = 0;
+ PyObject *py_class_name = 0;
+ PyObject *py_name_list = 0;
+ PyObject *py_module = 0;
+ PyObject *result = 0;
+
+ py_module_name = PyString_FromString(module_name);
+ if (!py_module_name)
+ goto bad;
+ py_class_name = PyString_FromString(class_name);
+ if (!py_class_name)
+ goto bad;
+ py_name_list = PyList_New(1);
+ if (!py_name_list)
+ goto bad;
+ Py_INCREF(py_class_name);
+ if (PyList_SetItem(py_name_list, 0, py_class_name) < 0)
+ goto bad;
+ py_module = __Pyx_Import(py_module_name, py_name_list);
+ if (!py_module)
+ goto bad;
+ result = PyObject_GetAttr(py_module, py_class_name);
+ if (!result)
+ goto bad;
+ if (!PyType_Check(result)) {
+ PyErr_Format(PyExc_TypeError,
+ "%s.%s is not a type object",
+ module_name, class_name);
+ goto bad;
+ }
+ if (((PyTypeObject *)result)->tp_basicsize != size) {
+ PyErr_Format(PyExc_ValueError,
+ "%s.%s does not appear to be the correct type object",
+ module_name, class_name);
+ goto bad;
+ }
+ goto done;
+bad:
+ Py_XDECREF(result);
+ result = 0;
+done:
+ Py_XDECREF(py_module_name);
+ Py_XDECREF(py_class_name);
+ Py_XDECREF(py_name_list);
+ return (PyTypeObject *)result;
+}
+
+#include "compile.h"
+#include "frameobject.h"
+#include "traceback.h"
+
+static void __Pyx_AddTraceback(char *funcname) {
+ PyObject *py_srcfile = 0;
+ PyObject *py_funcname = 0;
+ PyObject *py_globals = 0;
+ PyObject *empty_tuple = 0;
+ PyObject *empty_string = 0;
+ PyCodeObject *py_code = 0;
+ PyFrameObject *py_frame = 0;
+
+ py_srcfile = PyString_FromString(__pyx_filename);
+ if (!py_srcfile) goto bad;
+ py_funcname = PyString_FromString(funcname);
+ if (!py_funcname) goto bad;
+ py_globals = PyModule_GetDict(__pyx_m);
+ if (!py_globals) goto bad;
+ empty_tuple = PyTuple_New(0);
+ if (!empty_tuple) goto bad;
+ empty_string = PyString_FromString("");
+ if (!empty_string) goto bad;
+ py_code = PyCode_New(
+ 0, /*int argcount,*/
+ 0, /*int nlocals,*/
+ 0, /*int stacksize,*/
+ 0, /*int flags,*/
+ empty_string, /*PyObject *code,*/
+ empty_tuple, /*PyObject *consts,*/
+ empty_tuple, /*PyObject *names,*/
+ empty_tuple, /*PyObject *varnames,*/
+ empty_tuple, /*PyObject *freevars,*/
+ empty_tuple, /*PyObject *cellvars,*/
+ py_srcfile, /*PyObject *filename,*/
+ py_funcname, /*PyObject *name,*/
+ __pyx_lineno, /*int firstlineno,*/
+ empty_string /*PyObject *lnotab*/
+ );
+ if (!py_code) goto bad;
+ py_frame = PyFrame_New(
+ PyThreadState_Get(), /*PyThreadState *tstate,*/
+ py_code, /*PyCodeObject *code,*/
+ py_globals, /*PyObject *globals,*/
+ 0 /*PyObject *locals*/
+ );
+ if (!py_frame) goto bad;
+ py_frame->f_lineno = __pyx_lineno;
+ PyTraceBack_Here(py_frame);
+bad:
+ Py_XDECREF(py_srcfile);
+ Py_XDECREF(py_funcname);
+ Py_XDECREF(empty_tuple);
+ Py_XDECREF(empty_string);
+ Py_XDECREF(py_code);
+ Py_XDECREF(py_frame);
+}
diff --git a/numpy/random/mtrand/mtrand.pyx b/numpy/random/mtrand/mtrand.pyx
new file mode 100644
index 000000000..f27bc3c94
--- /dev/null
+++ b/numpy/random/mtrand/mtrand.pyx
@@ -0,0 +1,1724 @@
+
+# mtrand.pyx -- A Pyrex wrapper of Jean-Sebastien Roy's RandomKit
+#
+# Copyright 2005 Robert Kern (robert.kern@gmail.com)
+#
+# Permission is hereby granted, free of charge, to any person obtaining a
+# copy of this software and associated documentation files (the
+# "Software"), to deal in the Software without restriction, including
+# without limitation the rights to use, copy, modify, merge, publish,
+# distribute, sublicense, and/or sell copies of the Software, and to
+# permit persons to whom the Software is furnished to do so, subject to
+# the following conditions:
+#
+# The above copyright notice and this permission notice shall be included
+# in all copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+# OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+# IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+# CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+# TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+# SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+include "Python.pxi"
+include "numpy.pxi"
+
+cdef extern from "math.h":
+ double exp(double x)
+ double log(double x)
+ double floor(double x)
+ double sin(double x)
+ double cos(double x)
+
+cdef extern from "randomkit.h":
+
+ ctypedef struct rk_state:
+ unsigned long key[624]
+ int pos
+
+ ctypedef enum rk_error:
+ RK_NOERR = 0
+ RK_ENODEV = 1
+ RK_ERR_MAX = 2
+
+ char *rk_strerror[2]
+
+ # 0xFFFFFFFFUL
+ unsigned long RK_MAX
+
+ void rk_seed(unsigned long seed, rk_state *state)
+ rk_error rk_randomseed(rk_state *state)
+ unsigned long rk_random(rk_state *state)
+ long rk_long(rk_state *state)
+ unsigned long rk_ulong(rk_state *state)
+ unsigned long rk_interval(unsigned long max, rk_state *state)
+ double rk_double(rk_state *state)
+ void rk_fill(void *buffer, size_t size, rk_state *state)
+ rk_error rk_devfill(void *buffer, size_t size, int strong)
+ rk_error rk_altfill(void *buffer, size_t size, int strong,
+ rk_state *state)
+ double rk_gauss(rk_state *state)
+
+cdef extern from "distributions.h":
+
+ double rk_normal(rk_state *state, double loc, double scale)
+ double rk_standard_exponential(rk_state *state)
+ double rk_exponential(rk_state *state, double scale)
+ double rk_uniform(rk_state *state, double loc, double scale)
+ double rk_standard_gamma(rk_state *state, double shape)
+ double rk_gamma(rk_state *state, double shape, double scale)
+ double rk_beta(rk_state *state, double a, double b)
+ double rk_chisquare(rk_state *state, double df)
+ double rk_noncentral_chisquare(rk_state *state, double df, double nonc)
+ double rk_f(rk_state *state, double dfnum, double dfden)
+ double rk_noncentral_f(rk_state *state, double dfnum, double dfden, double nonc)
+ double rk_standard_cauchy(rk_state *state)
+ double rk_standard_t(rk_state *state, double df)
+ double rk_vonmises(rk_state *state, double mu, double kappa)
+ double rk_pareto(rk_state *state, double a)
+ double rk_weibull(rk_state *state, double a)
+ double rk_power(rk_state *state, double a)
+ double rk_laplace(rk_state *state, double loc, double scale)
+ double rk_gumbel(rk_state *state, double loc, double scale)
+ double rk_logistic(rk_state *state, double loc, double scale)
+ double rk_lognormal(rk_state *state, double mode, double sigma)
+ double rk_rayleigh(rk_state *state, double mode)
+ double rk_wald(rk_state *state, double mean, double scale)
+ double rk_triangular(rk_state *state, double left, double mode, double right)
+
+ long rk_binomial(rk_state *state, long n, double p)
+ long rk_binomial_btpe(rk_state *state, long n, double p)
+ long rk_binomial_inversion(rk_state *state, long n, double p)
+ long rk_negative_binomial(rk_state *state, long n, double p)
+ long rk_poisson(rk_state *state, double lam)
+ long rk_poisson_mult(rk_state *state, double lam)
+ long rk_poisson_ptrs(rk_state *state, double lam)
+ long rk_zipf(rk_state *state, double a)
+ long rk_geometric(rk_state *state, double p)
+ long rk_hypergeometric(rk_state *state, long good, long bad, long sample)
+ long rk_logseries(rk_state *state, double p)
+
+ctypedef double (* rk_cont0)(rk_state *state)
+ctypedef double (* rk_cont1)(rk_state *state, double a)
+ctypedef double (* rk_cont2)(rk_state *state, double a, double b)
+ctypedef double (* rk_cont3)(rk_state *state, double a, double b, double c)
+
+ctypedef long (* rk_disc0)(rk_state *state)
+ctypedef long (* rk_discnp)(rk_state *state, long n, double p)
+ctypedef long (* rk_discnmN)(rk_state *state, long n, long m, long N)
+ctypedef long (* rk_discd)(rk_state *state, double a)
+
+
+cdef extern from "initarray.h":
+ void init_by_array(rk_state *self, unsigned long *init_key,
+ unsigned long key_length)
+
+# Initialize numpy
+import_array()
+
+import numpy as _sp
+
+cdef object cont0_array(rk_state *state, rk_cont0 func, object size):
+ cdef double *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ length = PyArray_SIZE(array)
+ array_data = <double *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state)
+ return array
+
+
+cdef object cont1_array_sc(rk_state *state, rk_cont1 func, object size, double a):
+ cdef double *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state, a)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ length = PyArray_SIZE(array)
+ array_data = <double *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state, a)
+ return array
+
+cdef object cont1_array(rk_state *state, rk_cont1 func, object size, ndarray oa):
+ cdef double *array_data
+ cdef double *oa_data
+ cdef ndarray array "arrayObject"
+ cdef npy_intp length
+ cdef npy_intp i
+ cdef flatiter itera
+ cdef broadcast multi
+
+ if size is None:
+ array = <ndarray>PyArray_SimpleNew(oa.nd, oa.dimensions, NPY_DOUBLE)
+ length = PyArray_SIZE(array)
+ array_data = <double *>array.data
+ itera = <flatiter>PyArray_IterNew(<object>oa)
+ for i from 0 <= i < length:
+ array_data[i] = func(state, (<double *>(itera.dataptr))[0])
+ PyArray_ITER_NEXT(itera)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ array_data = <double *>array.data
+ multi = <broadcast>PyArray_MultiIterNew(2, <void *>array,
+ <void *>oa)
+ if (multi.size != PyArray_SIZE(array)):
+ raise ValueError("size is not compatible with inputs")
+ for i from 0 <= i < multi.size:
+ oa_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ array_data[i] = func(state, oa_data[0])
+ PyArray_MultiIter_NEXTi(multi, 1)
+ return array
+
+cdef object cont2_array_sc(rk_state *state, rk_cont2 func, object size, double a,
+ double b):
+ cdef double *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state, a, b)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ length = PyArray_SIZE(array)
+ array_data = <double *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state, a, b)
+ return array
+
+
+cdef object cont2_array(rk_state *state, rk_cont2 func, object size,
+ ndarray oa, ndarray ob):
+ cdef double *array_data
+ cdef double *oa_data
+ cdef double *ob_data
+ cdef ndarray array "arrayObject"
+ cdef npy_intp length
+ cdef npy_intp i
+ cdef broadcast multi
+
+ if size is None:
+ multi = <broadcast> PyArray_MultiIterNew(2, <void *>oa, <void *>ob)
+ array = <ndarray> PyArray_SimpleNew(multi.nd, multi.dimensions, NPY_DOUBLE)
+ array_data = <double *>array.data
+ for i from 0 <= i < multi.size:
+ oa_data = <double *>PyArray_MultiIter_DATA(multi, 0)
+ ob_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ array_data[i] = func(state, oa_data[0], ob_data[0])
+ PyArray_MultiIter_NEXT(multi)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ array_data = <double *>array.data
+ multi = <broadcast>PyArray_MultiIterNew(3, <void*>array, <void *>oa, <void *>ob)
+ if (multi.size != PyArray_SIZE(array)):
+ raise ValueError("size is not compatible with inputs")
+ for i from 0 <= i < multi.size:
+ oa_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ ob_data = <double *>PyArray_MultiIter_DATA(multi, 2)
+ array_data[i] = func(state, oa_data[0], ob_data[0])
+ PyArray_MultiIter_NEXTi(multi, 1)
+ PyArray_MultiIter_NEXTi(multi, 2)
+ return array
+
+cdef object cont3_array_sc(rk_state *state, rk_cont3 func, object size, double a,
+ double b, double c):
+
+ cdef double *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state, a, b, c)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ length = PyArray_SIZE(array)
+ array_data = <double *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state, a, b, c)
+ return array
+
+cdef object cont3_array(rk_state *state, rk_cont3 func, object size, ndarray oa,
+ ndarray ob, ndarray oc):
+
+ cdef double *array_data
+ cdef double *oa_data
+ cdef double *ob_data
+ cdef double *oc_data
+ cdef ndarray array "arrayObject"
+ cdef npy_intp length
+ cdef npy_intp i
+ cdef broadcast multi
+
+ if size is None:
+ multi = <broadcast> PyArray_MultiIterNew(3, <void *>oa, <void *>ob, <void *>oc)
+ array = <ndarray> PyArray_SimpleNew(multi.nd, multi.dimensions, NPY_DOUBLE)
+ array_data = <double *>array.data
+ for i from 0 <= i < multi.size:
+ oa_data = <double *>PyArray_MultiIter_DATA(multi, 0)
+ ob_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ oc_data = <double *>PyArray_MultiIter_DATA(multi, 2)
+ array_data[i] = func(state, oa_data[0], ob_data[0], oc_data[0])
+ PyArray_MultiIter_NEXT(multi)
+ else:
+ array = <ndarray>_sp.empty(size, _sp.float64)
+ array_data = <double *>array.data
+ multi = <broadcast>PyArray_MultiIterNew(4, <void*>array, <void *>oa,
+ <void *>ob, <void *>oc)
+ if (multi.size != PyArray_SIZE(array)):
+ raise ValueError("size is not compatible with inputs")
+ for i from 0 <= i < multi.size:
+ oa_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ ob_data = <double *>PyArray_MultiIter_DATA(multi, 2)
+ oc_data = <double *>PyArray_MultiIter_DATA(multi, 3)
+ array_data[i] = func(state, oa_data[0], ob_data[0], oc_data[0])
+ PyArray_MultiIter_NEXT(multi)
+ return array
+
+cdef object disc0_array(rk_state *state, rk_disc0 func, object size):
+ cdef long *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ length = PyArray_SIZE(array)
+ array_data = <long *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state)
+ return array
+
+cdef object discnp_array_sc(rk_state *state, rk_discnp func, object size, long n, double p):
+ cdef long *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state, n, p)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ length = PyArray_SIZE(array)
+ array_data = <long *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state, n, p)
+ return array
+
+cdef object discnp_array(rk_state *state, rk_discnp func, object size, ndarray on, ndarray op):
+ cdef long *array_data
+ cdef ndarray array "arrayObject"
+ cdef npy_intp length
+ cdef npy_intp i
+ cdef double *op_data
+ cdef long *on_data
+ cdef broadcast multi
+
+ if size is None:
+ multi = <broadcast> PyArray_MultiIterNew(2, <void *>on, <void *>op)
+ array = <ndarray> PyArray_SimpleNew(multi.nd, multi.dimensions, NPY_LONG)
+ array_data = <long *>array.data
+ for i from 0 <= i < multi.size:
+ on_data = <long *>PyArray_MultiIter_DATA(multi, 0)
+ op_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ array_data[i] = func(state, on_data[0], op_data[0])
+ PyArray_MultiIter_NEXT(multi)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ array_data = <long *>array.data
+ multi = <broadcast>PyArray_MultiIterNew(3, <void*>array, <void *>on, <void *>op)
+ if (multi.size != PyArray_SIZE(array)):
+ raise ValueError("size is not compatible with inputs")
+ for i from 0 <= i < multi.size:
+ on_data = <long *>PyArray_MultiIter_DATA(multi, 1)
+ op_data = <double *>PyArray_MultiIter_DATA(multi, 2)
+ array_data[i] = func(state, on_data[0], op_data[0])
+ PyArray_MultiIter_NEXTi(multi, 1)
+ PyArray_MultiIter_NEXTi(multi, 2)
+
+ return array
+
+cdef object discnmN_array_sc(rk_state *state, rk_discnmN func, object size,
+ long n, long m, long N):
+ cdef long *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state, n, m, N)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ length = PyArray_SIZE(array)
+ array_data = <long *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state, n, m, N)
+ return array
+
+cdef object discnmN_array(rk_state *state, rk_discnmN func, object size,
+ ndarray on, ndarray om, ndarray oN):
+ cdef long *array_data
+ cdef long *on_data
+ cdef long *om_data
+ cdef long *oN_data
+ cdef ndarray array "arrayObject"
+ cdef npy_intp length
+ cdef npy_intp i
+ cdef broadcast multi
+
+ if size is None:
+ multi = <broadcast> PyArray_MultiIterNew(3, <void *>on, <void *>om, <void *>oN)
+ array = <ndarray> PyArray_SimpleNew(multi.nd, multi.dimensions, NPY_LONG)
+ array_data = <long *>array.data
+ for i from 0 <= i < multi.size:
+ on_data = <long *>PyArray_MultiIter_DATA(multi, 0)
+ om_data = <long *>PyArray_MultiIter_DATA(multi, 1)
+ oN_data = <long *>PyArray_MultiIter_DATA(multi, 2)
+ array_data[i] = func(state, on_data[0], om_data[0], oN_data[0])
+ PyArray_MultiIter_NEXT(multi)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ array_data = <long *>array.data
+ multi = <broadcast>PyArray_MultiIterNew(4, <void*>array, <void *>on, <void *>om,
+ <void *>oN)
+ if (multi.size != PyArray_SIZE(array)):
+ raise ValueError("size is not compatible with inputs")
+ for i from 0 <= i < multi.size:
+ on_data = <long *>PyArray_MultiIter_DATA(multi, 1)
+ om_data = <long *>PyArray_MultiIter_DATA(multi, 2)
+ oN_data = <long *>PyArray_MultiIter_DATA(multi, 3)
+ array_data[i] = func(state, on_data[0], om_data[0], oN_data[0])
+ PyArray_MultiIter_NEXT(multi)
+
+ return array
+
+cdef object discd_array_sc(rk_state *state, rk_discd func, object size, double a):
+ cdef long *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if size is None:
+ return func(state, a)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ length = PyArray_SIZE(array)
+ array_data = <long *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = func(state, a)
+ return array
+
+cdef object discd_array(rk_state *state, rk_discd func, object size, ndarray oa):
+ cdef long *array_data
+ cdef double *oa_data
+ cdef ndarray array "arrayObject"
+ cdef npy_intp length
+ cdef npy_intp i
+ cdef broadcast multi
+ cdef flatiter itera
+
+ if size is None:
+ array = <ndarray>PyArray_SimpleNew(oa.nd, oa.dimensions, NPY_LONG)
+ length = PyArray_SIZE(array)
+ array_data = <long *>array.data
+ itera = <flatiter>PyArray_IterNew(<object>oa)
+ for i from 0 <= i < length:
+ array_data[i] = func(state, (<double *>(itera.dataptr))[0])
+ PyArray_ITER_NEXT(itera)
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ array_data = <long *>array.data
+ multi = <broadcast>PyArray_MultiIterNew(2, <void *>array, <void *>oa)
+ if (multi.size != PyArray_SIZE(array)):
+ raise ValueError("size is not compatible with inputs")
+ for i from 0 <= i < multi.size:
+ oa_data = <double *>PyArray_MultiIter_DATA(multi, 1)
+ array_data[i] = func(state, oa_data[0])
+ PyArray_MultiIter_NEXTi(multi, 1)
+ return array
+
+cdef double kahan_sum(double *darr, long n):
+ cdef double c, y, t, sum
+ cdef long i
+ sum = darr[0]
+ c = 0.0
+ for i from 1 <= i < n:
+ y = darr[i] - c
+ t = sum + y
+ c = (t-sum) - y
+ sum = t
+ return sum
+
+cdef class RandomState:
+ """Container for the Mersenne Twister PRNG.
+
+ Constructor
+ -----------
+ RandomState(seed=None): initializes the PRNG with the given seed. See the
+ seed() method for details.
+
+ Distribution Methods
+ -----------------
+ RandomState exposes a number of methods for generating random numbers drawn
+ from a variety of probability distributions. In addition to the
+ distribution-specific arguments, each method takes a keyword argument
+ size=None. If size is None, then a single value is generated and returned.
+ If size is an integer, then a 1-D numpy array filled with generated values
+ is returned. If size is a tuple, then a numpy array with that shape is
+ filled and returned.
+ """
+ cdef rk_state *internal_state
+
+ def __init__(self, seed=None):
+ self.internal_state = <rk_state*>PyMem_Malloc(sizeof(rk_state))
+
+ self.seed(seed)
+
+ def __dealloc__(self):
+ if self.internal_state != NULL:
+ PyMem_Free(self.internal_state)
+ self.internal_state = NULL
+
+ def seed(self, seed=None):
+ """Seed the generator.
+
+ seed(seed=None)
+
+ seed can be an integer, an array (or other sequence) of integers of any
+ length, or None. If seed is None, then RandomState will try to read data
+ from /dev/urandom (or the Windows analogue) if available or seed from
+ the clock otherwise.
+ """
+ cdef rk_error errcode
+ cdef ndarray obj "arrayObject_obj"
+ if seed is None:
+ errcode = rk_randomseed(self.internal_state)
+ elif type(seed) is int:
+ rk_seed(seed, self.internal_state)
+ else:
+ obj = <ndarray>PyArray_ContiguousFromObject(seed, NPY_LONG, 1, 1)
+ init_by_array(self.internal_state, <unsigned long *>(obj.data),
+ obj.dimensions[0])
+
+ def get_state(self):
+ """Return a tuple representing the internal state of the generator.
+
+ get_state() -> ('MT19937', int key[624], int pos)
+ """
+ cdef ndarray state "arrayObject_state"
+ state = <ndarray>_sp.empty(624, _sp.uint)
+ memcpy(<void*>(state.data), <void*>(self.internal_state.key), 624*sizeof(long))
+ state = <ndarray>_sp.asarray(state, _sp.uint32)
+ return ('MT19937', state, self.internal_state.pos)
+
+ def set_state(self, state):
+ """Set the state from a tuple.
+
+ state = ('MT19937', int key[624], int pos)
+
+ set_state(state)
+ """
+ cdef ndarray obj "arrayObject_obj"
+ cdef int pos
+ algorithm_name = state[0]
+ if algorithm_name != 'MT19937':
+ raise ValueError("algorithm must be 'MT19937'")
+ key, pos = state[1:]
+ try:
+ obj = <ndarray>PyArray_ContiguousFromObject(key, NPY_ULONG, 1, 1)
+ except TypeError:
+ # compatibility -- could be an older pickle
+ obj = <ndarray>PyArray_ContiguousFromObject(key, NPY_LONG, 1, 1)
+ if obj.dimensions[0] != 624:
+ raise ValueError("state must be 624 longs")
+ memcpy(<void*>(self.internal_state.key), <void*>(obj.data), 624*sizeof(long))
+ self.internal_state.pos = pos
+
+ # Pickling support:
+ def __getstate__(self):
+ return self.get_state()
+
+ def __setstate__(self, state):
+ self.set_state(state)
+
+ def __reduce__(self):
+ return (_sp.random.__RandomState_ctor, (), self.get_state())
+
+ # Basic distributions:
+ def random_sample(self, size=None):
+ """Return random floats in the half-open interval [0.0, 1.0).
+
+ random_sample(size=None) -> random values
+ """
+ return cont0_array(self.internal_state, rk_double, size)
+
+ def tomaxint(self, size=None):
+ """Returns random integers x such that 0 <= x <= sys.maxint.
+
+ tomaxint(size=None) -> random values
+ """
+ return disc0_array(self.internal_state, rk_long, size)
+
+ def randint(self, low, high=None, size=None):
+ """Return random integers x such that low <= x < high.
+
+ randint(low, high=None, size=None) -> random values
+
+ If high is None, then 0 <= x < low.
+ """
+ cdef long lo, hi, diff
+ cdef long *array_data
+ cdef ndarray array "arrayObject"
+ cdef long length
+ cdef long i
+
+ if high is None:
+ lo = 0
+ hi = low
+ else:
+ lo = low
+ hi = high
+
+ diff = hi - lo - 1
+ if diff < 0:
+ raise ValueError("low >= high")
+
+ if size is None:
+ return rk_interval(diff, self.internal_state) + lo
+ else:
+ array = <ndarray>_sp.empty(size, int)
+ length = PyArray_SIZE(array)
+ array_data = <long *>array.data
+ for i from 0 <= i < length:
+ array_data[i] = lo + <long>rk_interval(diff, self.internal_state)
+ return array
+
+ def bytes(self, unsigned int length):
+ """Return random bytes.
+
+ bytes(length) -> str
+ """
+ cdef void *bytes
+ bytestring = PyString_FromStringAndSize(NULL, length)
+ bytes = PyString_AS_STRING(bytestring)
+ rk_fill(bytes, length, self.internal_state)
+ return bytestring
+
+ def uniform(self, low=0.0, high=1.0, size=None):
+ """Uniform distribution over [low, high).
+
+ uniform(low=0.0, high=1.0, size=None) -> random values
+ """
+ cdef ndarray olow, ohigh, odiff
+ cdef double flow, fhigh
+ cdef object temp
+
+ flow = PyFloat_AsDouble(low)
+ fhigh = PyFloat_AsDouble(high)
+ if not PyErr_Occurred():
+ return cont2_array_sc(self.internal_state, rk_uniform, size, flow, fhigh-flow)
+ PyErr_Clear()
+ olow = <ndarray>PyArray_FROM_OTF(low, NPY_DOUBLE, NPY_ALIGNED)
+ ohigh = <ndarray>PyArray_FROM_OTF(high, NPY_DOUBLE, NPY_ALIGNED)
+ temp = _sp.subtract(ohigh, olow)
+ Py_INCREF(temp) # needed to get around Pyrex's automatic reference-counting
+ # rules because EnsureArray steals a reference
+ odiff = <ndarray>PyArray_EnsureArray(temp)
+ return cont2_array(self.internal_state, rk_uniform, size, olow, odiff)
+
+ def rand(self, *args):
+ """Return an array of the given dimensions which is initialized to
+ random numbers from a uniform distribution in the range [0,1).
+
+ rand(d0, d1, ..., dn) -> random values
+
+ Note: This is a convenience function. If you want an
+ interface that takes a tuple as the first argument
+ use numpy.random.random_sample(shape_tuple).
+
+ """
+ if len(args) == 0:
+ return self.random_sample()
+ else:
+ return self.random_sample(size=args)
+
+ def randn(self, *args):
+ """Returns zero-mean, unit-variance Gaussian random numbers in an
+ array of shape (d0, d1, ..., dn).
+
+ randn(d0, d1, ..., dn) -> random values
+
+ Note: This is a convenience function. If you want an
+ interface that takes a tuple as the first argument
+ use numpy.random.standard_normal(shape_tuple).
+ """
+ if len(args) == 0:
+ return self.standard_normal()
+ else:
+ return self.standard_normal(args)
+
+ def random_integers(self, low, high=None, size=None):
+ """Return random integers x such that low <= x <= high.
+
+ random_integers(low, high=None, size=None) -> random values.
+
+ If high is None, then 1 <= x <= low.
+ """
+ if high is None:
+ high = low
+ low = 1
+ return self.randint(low, high+1, size)
+
+ # Complicated, continuous distributions:
+ def standard_normal(self, size=None):
+ """Standard Normal distribution (mean=0, stdev=1).
+
+ standard_normal(size=None) -> random values
+ """
+ return cont0_array(self.internal_state, rk_gauss, size)
+
+ def normal(self, loc=0.0, scale=1.0, size=None):
+ """Normal distribution (mean=loc, stdev=scale).
+
+ normal(loc=0.0, scale=1.0, size=None) -> random values
+ """
+ cdef ndarray oloc, oscale
+ cdef double floc, fscale
+
+ floc = PyFloat_AsDouble(loc)
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_normal, size, floc, fscale)
+
+ PyErr_Clear()
+
+ oloc = <ndarray>PyArray_FROM_OTF(loc, NPY_DOUBLE, NPY_ALIGNED)
+ oscale = <ndarray>PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oscale, 0)):
+ raise ValueError("scale <= 0")
+ return cont2_array(self.internal_state, rk_normal, size, oloc, oscale)
+
+ def beta(self, a, b, size=None):
+ """Beta distribution over [0, 1].
+
+ beta(a, b, size=None) -> random values
+ """
+ cdef ndarray oa, ob
+ cdef double fa, fb
+
+ fa = PyFloat_AsDouble(a)
+ fb = PyFloat_AsDouble(b)
+ if not PyErr_Occurred():
+ if fa <= 0:
+ raise ValueError("a <= 0")
+ if fb <= 0:
+ raise ValueError("b <= 0")
+ return cont2_array_sc(self.internal_state, rk_beta, size, fa, fb)
+
+ PyErr_Clear()
+
+ oa = <ndarray>PyArray_FROM_OTF(a, NPY_DOUBLE, NPY_ALIGNED)
+ ob = <ndarray>PyArray_FROM_OTF(b, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oa, 0)):
+ raise ValueError("a <= 0")
+ if _sp.any(_sp.less_equal(ob, 0)):
+ raise ValueError("b <= 0")
+ return cont2_array(self.internal_state, rk_beta, size, oa, ob)
+
+ def exponential(self, scale=1.0, size=None):
+ """Exponential distribution.
+
+ exponential(scale=1.0, size=None) -> random values
+ """
+ cdef ndarray oscale
+ cdef double fscale
+
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont1_array_sc(self.internal_state, rk_exponential, size, fscale)
+
+ PyErr_Clear()
+
+ oscale = <ndarray> PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oscale, 0.0)):
+ raise ValueError("scale <= 0")
+ return cont1_array(self.internal_state, rk_exponential, size, oscale)
+
+ def standard_exponential(self, size=None):
+ """Standard exponential distribution (scale=1).
+
+ standard_exponential(size=None) -> random values
+ """
+ return cont0_array(self.internal_state, rk_standard_exponential, size)
+
+ def standard_gamma(self, shape, size=None):
+ """Standard Gamma distribution.
+
+ standard_gamma(shape, size=None) -> random values
+ """
+ cdef ndarray oshape
+ cdef double fshape
+
+ fshape = PyFloat_AsDouble(shape)
+ if not PyErr_Occurred():
+ if fshape <= 0:
+ raise ValueError("shape <= 0")
+ return cont1_array_sc(self.internal_state, rk_standard_gamma, size, fshape)
+
+ PyErr_Clear()
+ oshape = <ndarray> PyArray_FROM_OTF(shape, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oshape, 0.0)):
+ raise ValueError("shape <= 0")
+ return cont1_array(self.internal_state, rk_standard_gamma, size, oshape)
+
+ def gamma(self, shape, scale=1.0, size=None):
+ """Gamma distribution.
+
+ gamma(shape, scale=1.0, size=None) -> random values
+ """
+ cdef ndarray oshape, oscale
+ cdef double fshape, fscale
+
+ fshape = PyFloat_AsDouble(shape)
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fshape <= 0:
+ raise ValueError("shape <= 0")
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_gamma, size, fshape, fscale)
+
+ PyErr_Clear()
+ oshape = <ndarray>PyArray_FROM_OTF(shape, NPY_DOUBLE, NPY_ALIGNED)
+ oscale = <ndarray>PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oshape, 0.0)):
+ raise ValueError("shape <= 0")
+ if _sp.any(_sp.less_equal(oscale, 0.0)):
+ raise ValueError("scale <= 0")
+ return cont2_array(self.internal_state, rk_gamma, size, oshape, oscale)
+
+ def f(self, dfnum, dfden, size=None):
+ """F distribution.
+
+ f(dfnum, dfden, size=None) -> random values
+ """
+ cdef ndarray odfnum, odfden
+ cdef double fdfnum, fdfden
+
+ fdfnum = PyFloat_AsDouble(dfnum)
+ fdfden = PyFloat_AsDouble(dfden)
+ if not PyErr_Occurred():
+ if fdfnum <= 0:
+ raise ValueError("shape <= 0")
+ if fdfden <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_f, size, fdfnum, fdfden)
+
+ PyErr_Clear()
+
+ odfnum = <ndarray>PyArray_FROM_OTF(dfnum, NPY_DOUBLE, NPY_ALIGNED)
+ odfden = <ndarray>PyArray_FROM_OTF(dfden, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(odfnum, 0.0)):
+ raise ValueError("dfnum <= 0")
+ if _sp.any(_sp.less_equal(odfden, 0.0)):
+ raise ValueError("dfden <= 0")
+ return cont2_array(self.internal_state, rk_f, size, odfnum, odfden)
+
+ def noncentral_f(self, dfnum, dfden, nonc, size=None):
+ """Noncentral F distribution.
+
+ noncentral_f(dfnum, dfden, nonc, size=None) -> random values
+ """
+ cdef ndarray odfnum, odfden, ononc
+ cdef double fdfnum, fdfden, fnonc
+
+ fdfnum = PyFloat_AsDouble(dfnum)
+ fdfden = PyFloat_AsDouble(dfden)
+ fnonc = PyFloat_AsDouble(nonc)
+ if not PyErr_Occurred():
+ if fdfnum <= 1:
+ raise ValueError("dfnum <= 1")
+ if fdfden <= 0:
+ raise ValueError("dfden <= 0")
+ if fnonc < 0:
+ raise ValueError("nonc < 0")
+ return cont3_array_sc(self.internal_state, rk_noncentral_f, size,
+ fdfnum, fdfden, fnonc)
+
+ PyErr_Clear()
+
+ odfnum = <ndarray>PyArray_FROM_OTF(dfnum, NPY_DOUBLE, NPY_ALIGNED)
+ odfden = <ndarray>PyArray_FROM_OTF(dfden, NPY_DOUBLE, NPY_ALIGNED)
+ ononc = <ndarray>PyArray_FROM_OTF(nonc, NPY_DOUBLE, NPY_ALIGNED)
+
+ if _sp.any(_sp.less_equal(odfnum, 1.0)):
+ raise ValueError("dfnum <= 1")
+ if _sp.any(_sp.less_equal(odfden, 0.0)):
+ raise ValueError("dfden <= 0")
+ if _sp.any(_sp.less(ononc, 0.0)):
+ raise ValueError("nonc < 0")
+ return cont3_array(self.internal_state, rk_noncentral_f, size, odfnum,
+ odfden, ononc)
+
+ def chisquare(self, df, size=None):
+ """Chi^2 distribution.
+
+ chisquare(df, size=None) -> random values
+ """
+ cdef ndarray odf
+ cdef double fdf
+
+ fdf = PyFloat_AsDouble(df)
+ if not PyErr_Occurred():
+ if fdf <= 0:
+ raise ValueError("df <= 0")
+ return cont1_array_sc(self.internal_state, rk_chisquare, size, fdf)
+
+ PyErr_Clear()
+
+ odf = <ndarray>PyArray_FROM_OTF(df, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(odf, 0.0)):
+ raise ValueError("df <= 0")
+ return cont1_array(self.internal_state, rk_chisquare, size, odf)
+
+ def noncentral_chisquare(self, df, nonc, size=None):
+ """Noncentral Chi^2 distribution.
+
+ noncentral_chisquare(df, nonc, size=None) -> random values
+ """
+ cdef ndarray odf, ononc
+ cdef double fdf, fnonc
+ fdf = PyFloat_AsDouble(df)
+ fnonc = PyFloat_AsDouble(nonc)
+ if not PyErr_Occurred():
+ if fdf <= 1:
+ raise ValueError("df <= 0")
+ if fnonc <= 0:
+ raise ValueError("nonc <= 0")
+ return cont2_array_sc(self.internal_state, rk_noncentral_chisquare,
+ size, fdf, fnonc)
+
+ PyErr_Clear()
+
+ odf = <ndarray>PyArray_FROM_OTF(df, NPY_DOUBLE, NPY_ALIGNED)
+ ononc = <ndarray>PyArray_FROM_OTF(nonc, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(odf, 0.0)):
+ raise ValueError("df <= 1")
+ if _sp.any(_sp.less_equal(ononc, 0.0)):
+ raise ValueError("nonc < 0")
+ return cont2_array(self.internal_state, rk_noncentral_chisquare, size,
+ odf, ononc)
+
+ def standard_cauchy(self, size=None):
+ """Standard Cauchy with mode=0.
+
+ standard_cauchy(size=None)
+ """
+ return cont0_array(self.internal_state, rk_standard_cauchy, size)
+
+ def standard_t(self, df, size=None):
+ """Standard Student's t distribution with df degrees of freedom.
+
+ standard_t(df, size=None)
+ """
+ cdef ndarray odf
+ cdef double fdf
+
+ fdf = PyFloat_AsDouble(df)
+ if not PyErr_Occurred():
+ if fdf <= 0:
+ raise ValueError("df <= 0")
+ return cont1_array_sc(self.internal_state, rk_standard_t, size, fdf)
+
+ PyErr_Clear()
+
+ odf = <ndarray> PyArray_FROM_OTF(df, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(odf, 0.0)):
+ raise ValueError("df <= 0")
+ return cont1_array(self.internal_state, rk_standard_t, size, odf)
+
+ def vonmises(self, mu, kappa, size=None):
+ """von Mises circular distribution with mode mu and dispersion parameter
+ kappa on [-pi, pi].
+
+ vonmises(mu, kappa, size=None)
+ """
+ cdef ndarray omu, okappa
+ cdef double fmu, fkappa
+
+ fmu = PyFloat_AsDouble(mu)
+ fkappa = PyFloat_AsDouble(kappa)
+ if not PyErr_Occurred():
+ if fkappa < 0:
+ raise ValueError("kappa < 0")
+ return cont2_array_sc(self.internal_state, rk_vonmises, size, fmu, fkappa)
+
+ PyErr_Clear()
+
+ omu = <ndarray> PyArray_FROM_OTF(mu, NPY_DOUBLE, NPY_ALIGNED)
+ okappa = <ndarray> PyArray_FROM_OTF(kappa, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less(okappa, 0.0)):
+ raise ValueError("kappa < 0")
+ return cont2_array(self.internal_state, rk_vonmises, size, omu, okappa)
+
+ def pareto(self, a, size=None):
+ """Pareto distribution.
+
+ pareto(a, size=None)
+ """
+ cdef ndarray oa
+ cdef double fa
+
+ fa = PyFloat_AsDouble(a)
+ if not PyErr_Occurred():
+ if fa <= 0:
+ raise ValueError("a <= 0")
+ return cont1_array_sc(self.internal_state, rk_pareto, size, fa)
+
+ PyErr_Clear()
+
+ oa = <ndarray>PyArray_FROM_OTF(a, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oa, 0.0)):
+ raise ValueError("a <= 0")
+ return cont1_array(self.internal_state, rk_pareto, size, oa)
+
+ def weibull(self, a, size=None):
+ """Weibull distribution.
+
+ weibull(a, size=None)
+ """
+ cdef ndarray oa
+ cdef double fa
+
+ fa = PyFloat_AsDouble(a)
+ if not PyErr_Occurred():
+ if fa <= 0:
+ raise ValueError("a <= 0")
+ return cont1_array_sc(self.internal_state, rk_weibull, size, fa)
+
+ PyErr_Clear()
+
+ oa = <ndarray>PyArray_FROM_OTF(a, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oa, 0.0)):
+ raise ValueError("a <= 0")
+ return cont1_array(self.internal_state, rk_weibull, size, oa)
+
+ def power(self, a, size=None):
+ """Power distribution.
+
+ power(a, size=None)
+ """
+ cdef ndarray oa
+ cdef double fa
+
+ fa = PyFloat_AsDouble(a)
+ if not PyErr_Occurred():
+ if fa <= 0:
+ raise ValueError("a <= 0")
+ return cont1_array_sc(self.internal_state, rk_power, size, fa)
+
+ PyErr_Clear()
+
+ oa = <ndarray>PyArray_FROM_OTF(a, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oa, 0.0)):
+ raise ValueError("a <= 0")
+ return cont1_array(self.internal_state, rk_power, size, oa)
+
+ def laplace(self, loc=0.0, scale=1.0, size=None):
+ """Laplace distribution.
+
+ laplace(loc=0.0, scale=1.0, size=None)
+ """
+ cdef ndarray oloc, oscale
+ cdef double floc, fscale
+
+ floc = PyFloat_AsDouble(loc)
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_laplace, size, floc, fscale)
+
+ PyErr_Clear()
+ oloc = PyArray_FROM_OTF(loc, NPY_DOUBLE, NPY_ALIGNED)
+ oscale = PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oscale, 0.0)):
+ raise ValueError("scale <= 0")
+ return cont2_array(self.internal_state, rk_laplace, size, oloc, oscale)
+
+ def gumbel(self, loc=0.0, scale=1.0, size=None):
+ """Gumbel distribution.
+
+ gumbel(loc=0.0, scale=1.0, size=None)
+ """
+ cdef ndarray oloc, oscale
+ cdef double floc, fscale
+
+ floc = PyFloat_AsDouble(loc)
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_gumbel, size, floc, fscale)
+
+ PyErr_Clear()
+ oloc = PyArray_FROM_OTF(loc, NPY_DOUBLE, NPY_ALIGNED)
+ oscale = PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oscale, 0.0)):
+ raise ValueError("scale <= 0")
+ return cont2_array(self.internal_state, rk_gumbel, size, oloc, oscale)
+
+ def logistic(self, loc=0.0, scale=1.0, size=None):
+ """Logistic distribution.
+
+ logistic(loc=0.0, scale=1.0, size=None)
+ """
+ cdef ndarray oloc, oscale
+ cdef double floc, fscale
+
+ floc = PyFloat_AsDouble(loc)
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_logistic, size, floc, fscale)
+
+ PyErr_Clear()
+ oloc = PyArray_FROM_OTF(loc, NPY_DOUBLE, NPY_ALIGNED)
+ oscale = PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oscale, 0.0)):
+ raise ValueError("scale <= 0")
+ return cont2_array(self.internal_state, rk_logistic, size, oloc, oscale)
+
+ def lognormal(self, mean=0.0, sigma=1.0, size=None):
+ """Log-normal distribution.
+
+ Note that the mean parameter is not the mean of this distribution, but
+ the underlying normal distribution.
+
+ lognormal(mean, sigma) <=> exp(normal(mean, sigma))
+
+ lognormal(mean=0.0, sigma=1.0, size=None)
+ """
+ cdef ndarray omean, osigma
+ cdef double fmean, fsigma
+
+ fmean = PyFloat_AsDouble(mean)
+ fsigma = PyFloat_AsDouble(sigma)
+
+ if not PyErr_Occurred():
+ if fsigma <= 0:
+ raise ValueError("sigma <= 0")
+ return cont2_array_sc(self.internal_state, rk_lognormal, size, fmean, fsigma)
+
+ PyErr_Clear()
+
+ omean = PyArray_FROM_OTF(mean, NPY_DOUBLE, NPY_ALIGNED)
+ osigma = PyArray_FROM_OTF(sigma, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(osigma, 0.0)):
+ raise ValueError("sigma <= 0.0")
+ return cont2_array(self.internal_state, rk_lognormal, size, omean, osigma)
+
+ def rayleigh(self, scale=1.0, size=None):
+ """Rayleigh distribution.
+
+ rayleigh(scale=1.0, size=None)
+ """
+ cdef ndarray oscale
+ cdef double fscale
+
+ fscale = PyFloat_AsDouble(scale)
+
+ if not PyErr_Occurred():
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont1_array_sc(self.internal_state, rk_rayleigh, size, fscale)
+
+ PyErr_Clear()
+
+ oscale = <ndarray>PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oscale, 0.0)):
+ raise ValueError("scale <= 0.0")
+ return cont1_array(self.internal_state, rk_rayleigh, size, oscale)
+
+ def wald(self, mean, scale, size=None):
+ """Wald (inverse Gaussian) distribution.
+
+ wald(mean, scale, size=None)
+ """
+ cdef ndarray omean, oscale
+ cdef double fmean, fscale
+
+ fmean = PyFloat_AsDouble(mean)
+ fscale = PyFloat_AsDouble(scale)
+ if not PyErr_Occurred():
+ if fmean <= 0:
+ raise ValueError("mean <= 0")
+ if fscale <= 0:
+ raise ValueError("scale <= 0")
+ return cont2_array_sc(self.internal_state, rk_wald, size, fmean, fscale)
+
+ PyErr_Clear()
+ omean = PyArray_FROM_OTF(mean, NPY_DOUBLE, NPY_ALIGNED)
+ oscale = PyArray_FROM_OTF(scale, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(omean,0.0)):
+ raise ValueError("mean <= 0.0")
+ elif _sp.any(_sp.less_equal(oscale,0.0)):
+ raise ValueError("scale <= 0.0")
+ return cont2_array(self.internal_state, rk_wald, size, omean, oscale)
+
+
+
+ def triangular(self, left, mode, right, size=None):
+ """Triangular distribution starting at left, peaking at mode, and
+ ending at right (left <= mode <= right).
+
+ triangular(left, mode, right, size=None)
+ """
+ cdef ndarray oleft, omode, oright
+ cdef double fleft, fmode, fright
+
+ fleft = PyFloat_AsDouble(left)
+ fright = PyFloat_AsDouble(right)
+ fmode = PyFloat_AsDouble(mode)
+ if not PyErr_Occurred():
+ if fleft > fmode:
+ raise ValueError("left > mode")
+ if fmode > fright:
+ raise ValueError("mode > right")
+ if fleft == fright:
+ raise ValueError("left == right")
+ return cont3_array_sc(self.internal_state, rk_triangular, size, fleft,
+ fmode, fright)
+
+ PyErr_Clear()
+ oleft = <ndarray>PyArray_FROM_OTF(left, NPY_DOUBLE, NPY_ALIGNED)
+ omode = <ndarray>PyArray_FROM_OTF(mode, NPY_DOUBLE, NPY_ALIGNED)
+ oright = <ndarray>PyArray_FROM_OTF(right, NPY_DOUBLE, NPY_ALIGNED)
+
+ if _sp.any(_sp.greater(oleft, omode)):
+ raise ValueError("left > mode")
+ if _sp.any(_sp.greater(omode, oright)):
+ raise ValueError("mode > right")
+ if _sp.any(_sp.equal(oleft, oright)):
+ raise ValueError("left == right")
+ return cont3_array(self.internal_state, rk_triangular, size, oleft,
+ omode, oright)
+
+ # Complicated, discrete distributions:
+ def binomial(self, n, p, size=None):
+ """Binomial distribution of n trials and p probability of success.
+
+ binomial(n, p, size=None) -> random values
+ """
+ cdef ndarray on, op
+ cdef long ln
+ cdef double fp
+
+ fp = PyFloat_AsDouble(p)
+ ln = PyInt_AsLong(n)
+ if not PyErr_Occurred():
+ if ln <= 0:
+ raise ValueError("n <= 0")
+ if fp < 0:
+ raise ValueError("p < 0")
+ elif fp > 1:
+ raise ValueError("p > 1")
+ return discnp_array_sc(self.internal_state, rk_binomial, size, ln, fp)
+
+ PyErr_Clear()
+
+ on = <ndarray>PyArray_FROM_OTF(n, NPY_LONG, NPY_ALIGNED)
+ op = <ndarray>PyArray_FROM_OTF(p, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(n, 0)):
+ raise ValueError("n <= 0")
+ if _sp.any(_sp.less(p, 0)):
+ raise ValueError("p < 0")
+ if _sp.any(_sp.greater(p, 1)):
+ raise ValueError("p > 1")
+ return discnp_array(self.internal_state, rk_binomial, size, on, op)
+
+ def negative_binomial(self, n, p, size=None):
+ """Negative Binomial distribution.
+
+ negative_binomial(n, p, size=None) -> random values
+ """
+ cdef ndarray on
+ cdef ndarray op
+ cdef long ln
+ cdef double fp
+
+ fp = PyFloat_AsDouble(p)
+ ln = PyInt_AsLong(n)
+ if not PyErr_Occurred():
+ if ln <= 0:
+ raise ValueError("n <= 0")
+ if fp < 0:
+ raise ValueError("p < 0")
+ elif fp > 1:
+ raise ValueError("p > 1")
+ return discnp_array_sc(self.internal_state, rk_negative_binomial,
+ size, ln, fp)
+
+ PyErr_Clear()
+
+ on = <ndarray>PyArray_FROM_OTF(n, NPY_LONG, NPY_ALIGNED)
+ op = <ndarray>PyArray_FROM_OTF(p, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(n, 0)):
+ raise ValueError("n <= 0")
+ if _sp.any(_sp.less(p, 0)):
+ raise ValueError("p < 0")
+ if _sp.any(_sp.greater(p, 1)):
+ raise ValueError("p > 1")
+ return discnp_array(self.internal_state, rk_negative_binomial, size,
+ on, op)
+
+ def poisson(self, lam=1.0, size=None):
+ """Poisson distribution.
+
+ poisson(lam=1.0, size=None) -> random values
+ """
+ cdef ndarray olam
+ cdef double flam
+ flam = PyFloat_AsDouble(lam)
+ if not PyErr_Occurred():
+ if lam < 0:
+ raise ValueError("lam < 0")
+ return discd_array_sc(self.internal_state, rk_poisson, size, flam)
+
+ PyErr_Clear()
+
+ olam = <ndarray>PyArray_FROM_OTF(lam, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less(olam, 0)):
+ raise ValueError("lam < 0")
+ return discd_array(self.internal_state, rk_poisson, size, olam)
+
+ def zipf(self, a, size=None):
+ """Zipf distribution.
+
+ zipf(a, size=None)
+ """
+ cdef ndarray oa
+ cdef double fa
+
+ fa = PyFloat_AsDouble(a)
+ if not PyErr_Occurred():
+ if fa <= 1.0:
+ raise ValueError("a <= 1.0")
+ return discd_array_sc(self.internal_state, rk_zipf, size, fa)
+
+ PyErr_Clear()
+
+ oa = <ndarray>PyArray_FROM_OTF(a, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less_equal(oa, 1.0)):
+ raise ValueError("a <= 1.0")
+ return discd_array(self.internal_state, rk_zipf, size, oa)
+
+ def geometric(self, p, size=None):
+ """Geometric distribution with p being the probability of "success" on
+ an individual trial.
+
+ geometric(p, size=None)
+ """
+ cdef ndarray op
+ cdef double fp
+
+ fp = PyFloat_AsDouble(p)
+ if not PyErr_Occurred():
+ if fp < 0.0:
+ raise ValueError("p < 0.0")
+ if fp > 1.0:
+ raise ValueError("p > 1.0")
+ return discd_array_sc(self.internal_state, rk_geometric, size, fp)
+
+ PyErr_Clear()
+
+
+ op = <ndarray>PyArray_FROM_OTF(p, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less(op, 0.0)):
+ raise ValueError("p < 0.0")
+ if _sp.any(_sp.greater(op, 1.0)):
+ raise ValueError("p > 1.0")
+ return discd_array(self.internal_state, rk_geometric, size, op)
+
+ def hypergeometric(self, ngood, nbad, nsample, size=None):
+ """Hypergeometric distribution.
+
+ Consider an urn with ngood "good" balls and nbad "bad" balls. If one
+ were to draw nsample balls from the urn without replacement, then
+ the hypergeometric distribution describes the distribution of "good"
+ balls in the sample.
+
+ hypergeometric(ngood, nbad, nsample, size=None)
+ """
+ cdef ndarray ongood, onbad, onsample
+ cdef long lngood, lnbad, lnsample
+
+ lngood = PyInt_AsLong(ngood)
+ lnbad = PyInt_AsLong(nbad)
+ lnsample = PyInt_AsLong(nsample)
+ if not PyErr_Occurred():
+ if ngood < 1:
+ raise ValueError("ngood < 1")
+ if nbad < 1:
+ raise ValueError("nbad < 1")
+ if nsample < 1:
+ raise ValueError("nsample < 1")
+ if ngood + nbad < nsample:
+ raise ValueError("ngood + nbad < nsample")
+ return discnmN_array_sc(self.internal_state, rk_hypergeometric, size,
+ lngood, lnbad, lnsample)
+
+
+ PyErr_Clear()
+
+ ongood = <ndarray>PyArray_FROM_OTF(ngood, NPY_LONG, NPY_ALIGNED)
+ onbad = <ndarray>PyArray_FROM_OTF(nbad, NPY_LONG, NPY_ALIGNED)
+ onsample = <ndarray>PyArray_FROM_OTF(nsample, NPY_LONG, NPY_ALIGNED)
+ if _sp.any(_sp.less(ongood, 1)):
+ raise ValueError("ngood < 1")
+ if _sp.any(_sp.less(onbad, 1)):
+ raise ValueError("nbad < 1")
+ if _sp.any(_sp.less(onsample, 1)):
+ raise ValueError("nsample < 1")
+ if _sp.any(_sp.less(_sp.add(ongood, onbad),onsample)):
+ raise ValueError("ngood + nbad < nsample")
+ return discnmN_array(self.internal_state, rk_hypergeometric, size,
+ ongood, onbad, onsample)
+
+ def logseries(self, p, size=None):
+ """Logarithmic series distribution.
+
+ logseries(p, size=None)
+ """
+ cdef ndarray op
+ cdef double fp
+
+ fp = PyFloat_AsDouble(p)
+ if not PyErr_Occurred():
+ if fp < 0.0:
+ raise ValueError("p < 0.0")
+ if fp > 1.0:
+ raise ValueError("p > 1.0")
+ return discd_array_sc(self.internal_state, rk_logseries, size, fp)
+
+ PyErr_Clear()
+
+ op = <ndarray>PyArray_FROM_OTF(p, NPY_DOUBLE, NPY_ALIGNED)
+ if _sp.any(_sp.less(op, 0.0)):
+ raise ValueError("p < 0.0")
+ if _sp.any(_sp.greater(op, 1.0)):
+ raise ValueError("p > 1.0")
+ return discd_array(self.internal_state, rk_logseries, size, op)
+
+ # Multivariate distributions:
+ def multivariate_normal(self, mean, cov, size=None):
+ """Return an array containing multivariate normally distributed random numbers
+ with specified mean and covariance.
+
+ multivariate_normal(mean, cov) -> random values
+ multivariate_normal(mean, cov, [m, n, ...]) -> random values
+
+ mean must be a 1 dimensional array. cov must be a square two dimensional
+ array with the same number of rows and columns as mean has elements.
+
+ The first form returns a single 1-D array containing a multivariate
+ normal.
+
+ The second form returns an array of shape (m, n, ..., cov.shape[0]).
+ In this case, output[i,j,...,:] is a 1-D array containing a multivariate
+ normal.
+ """
+ # Check preconditions on arguments
+ mean = _sp.array(mean)
+ cov = _sp.array(cov)
+ if size is None:
+ shape = []
+ else:
+ shape = size
+ if len(mean.shape) != 1:
+ raise ValueError("mean must be 1 dimensional")
+ if (len(cov.shape) != 2) or (cov.shape[0] != cov.shape[1]):
+ raise ValueError("cov must be 2 dimensional and square")
+ if mean.shape[0] != cov.shape[0]:
+ raise ValueError("mean and cov must have same length")
+ # Compute shape of output
+ if isinstance(shape, int):
+ shape = [shape]
+ final_shape = list(shape[:])
+ final_shape.append(mean.shape[0])
+ # Create a matrix of independent standard normally distributed random
+ # numbers. The matrix has rows with the same length as mean and as
+ # many rows are necessary to form a matrix of shape final_shape.
+ x = standard_normal(_sp.multiply.reduce(final_shape))
+ x.shape = (_sp.multiply.reduce(final_shape[0:len(final_shape)-1]),
+ mean.shape[0])
+ # Transform matrix of standard normals into matrix where each row
+ # contains multivariate normals with the desired covariance.
+ # Compute A such that dot(transpose(A),A) == cov.
+ # Then the matrix products of the rows of x and A has the desired
+ # covariance. Note that sqrt(s)*v where (u,s,v) is the singular value
+ # decomposition of cov is such an A.
+
+ from numpy.dual import svd
+ # XXX: we really should be doing this by Cholesky decomposition
+ (u,s,v) = svd(cov)
+ x = _sp.dot(x*_sp.sqrt(s),v)
+ # The rows of x now have the correct covariance but mean 0. Add
+ # mean to each row. Then each row will have mean mean.
+ _sp.add(mean,x,x)
+ x.shape = tuple(final_shape)
+ return x
+
+ def multinomial(self, long n, object pvals, size=None):
+ """Multinomial distribution.
+
+ multinomial(n, pvals, size=None) -> random values
+
+ pvals is a sequence of probabilities that should sum to 1 (however, the
+ last element is always assumed to account for the remaining probability
+ as long as sum(pvals[:-1]) <= 1).
+ """
+ cdef long d
+ cdef ndarray parr "arrayObject_parr", mnarr "arrayObject_mnarr"
+ cdef double *pix
+ cdef long *mnix
+ cdef long i, j, dn
+ cdef double Sum
+
+ d = len(pvals)
+ parr = <ndarray>PyArray_ContiguousFromObject(pvals, NPY_DOUBLE, 1, 1)
+ pix = <double*>parr.data
+
+ if kahan_sum(pix, d-1) > 1.0:
+ raise ValueError("sum(pvals) > 1.0")
+
+ if size is None:
+ shape = (d,)
+ elif type(size) is int:
+ shape = (size, d)
+ else:
+ shape = size + (d,)
+
+ multin = _sp.zeros(shape, int)
+ mnarr = <ndarray>multin
+ mnix = <long*>mnarr.data
+ i = 0
+ while i < PyArray_SIZE(mnarr):
+ Sum = 1.0
+ dn = n
+ for j from 0 <= j < d-1:
+ mnix[i+j] = rk_binomial(self.internal_state, dn, pix[j]/Sum)
+ dn = dn - mnix[i+j]
+ if dn <= 0:
+ break
+ Sum = Sum - pix[j]
+ if dn > 0:
+ mnix[i+d-1] = dn
+
+ i = i + d
+
+ return multin
+
+ def dirichlet(self, object alpha, size=None):
+ """dirichlet(alpha, size=None)
+
+ Draw `size` samples of dimension k from a Dirichlet distribution. A
+ Dirichlet-distributed random variable can be seen as a multivariate
+ generalization of a Beta distribution. Dirichlet pdf is the conjugate
+ prior of a multinomial in Bayesian inference.
+
+ :Parameters:
+ alpha : array
+ parameter of the distribution (k dimension
+ for sample of dimension k).
+ size : array
+ number of samples to draw.
+
+ $X \approx \prod_{i=1}^{k}{x^{\alpha_i-1}_i}$
+
+ Uses the following property for computation: for each dimension,
+ draw a random sample y_i from a standard gamma generator of shape
+ alpha_i, then X = \frac{1}{\sum_{i=1}^k{y_i}} (y_1, ..., y_n) is
+ Dirichlet distributed.
+
+ Reference:
+ - David Mc Kay : Information Theory, inference and Learning
+ algorithms, chapter 23. the book is available for free at
+ http://www.inference.phy.cam.ac.uk/mackay/
+ """
+
+ #=================
+ # Pure python algo
+ #=================
+ #alpha = N.atleast_1d(alpha)
+ #k = alpha.size
+
+ #if n == 1:
+ # val = N.zeros(k)
+ # for i in range(k):
+ # val[i] = sgamma(alpha[i], n)
+ # val /= N.sum(val)
+ #else:
+ # val = N.zeros((k, n))
+ # for i in range(k):
+ # val[i] = sgamma(alpha[i], n)
+ # val /= N.sum(val, axis = 0)
+ # val = val.T
+
+ #return val
+
+ cdef long k
+ cdef long totsize
+ cdef ndarray alpha_arr, val_arr
+ cdef double *alpha_data, *val_data
+ cdef long i, j
+ cdef double acc, invacc
+
+ k = len(alpha)
+ alpha_arr = <ndarray>PyArray_ContiguousFromObject(alpha, NPY_DOUBLE, 1, 1)
+ alpha_data = <double*>alpha_arr.data
+
+ if size is None:
+ shape = (k,)
+ elif type(size) is int:
+ shape = (size, k)
+ else:
+ shape = size + (k,)
+
+ diric = _sp.zeros(shape, _sp.float64)
+ val_arr = <ndarray>diric
+ val_data= <double*>val_arr.data
+
+ i = 0
+ totsize = PyArray_SIZE(val_arr)
+ while i < totsize:
+ acc = 0.0
+ for j from 0 <= j < k:
+ val_data[i+j] = rk_standard_gamma(self.internal_state, alpha_data[j])
+ acc = acc + val_data[i+j]
+ invacc = 1/acc
+ for j from 0 <= j < k:
+ val_data[i+j] = val_data[i+j] * invacc
+ i = i + k
+
+ return diric
+
+ # Shuffling and permutations:
+ def shuffle(self, object x):
+ """Modify a sequence in-place by shuffling its contents.
+
+ shuffle(x)
+ """
+ cdef long i, j
+ cdef int copy
+
+ i = len(x) - 1
+ try:
+ j = len(x[0])
+ except:
+ j = 0
+
+ if (j == 0):
+ # adaptation of random.shuffle()
+ while i > 0:
+ j = rk_interval(i, self.internal_state)
+ x[i], x[j] = x[j], x[i]
+ i = i - 1
+ else:
+ # make copies
+ copy = hasattr(x[0], 'copy')
+ if copy:
+ while(i > 0):
+ j = rk_interval(i, self.internal_state)
+ x[i], x[j] = x[j].copy(), x[i].copy()
+ i = i - 1
+ else:
+ while(i > 0):
+ j = rk_interval(i, self.internal_state)
+ x[i], x[j] = x[j][:], x[i][:]
+ i = i - 1
+
+ def permutation(self, object x):
+ """Given an integer, return a shuffled sequence of integers >= 0 and
+ < x; given a sequence, return a shuffled array copy.
+
+ permutation(x)
+ """
+ if isinstance(x, (int, _sp.integer)):
+ arr = _sp.arange(x)
+ else:
+ arr = _sp.array(x)
+ self.shuffle(arr)
+ return arr
+
+_rand = RandomState()
+seed = _rand.seed
+get_state = _rand.get_state
+set_state = _rand.set_state
+random_sample = _rand.random_sample
+randint = _rand.randint
+bytes = _rand.bytes
+uniform = _rand.uniform
+rand = _rand.rand
+randn = _rand.randn
+random_integers = _rand.random_integers
+standard_normal = _rand.standard_normal
+normal = _rand.normal
+beta = _rand.beta
+exponential = _rand.exponential
+standard_exponential = _rand.standard_exponential
+standard_gamma = _rand.standard_gamma
+gamma = _rand.gamma
+f = _rand.f
+noncentral_f = _rand.noncentral_f
+chisquare = _rand.chisquare
+noncentral_chisquare = _rand.noncentral_chisquare
+standard_cauchy = _rand.standard_cauchy
+standard_t = _rand.standard_t
+vonmises = _rand.vonmises
+pareto = _rand.pareto
+weibull = _rand.weibull
+power = _rand.power
+laplace = _rand.laplace
+gumbel = _rand.gumbel
+logistic = _rand.logistic
+lognormal = _rand.lognormal
+rayleigh = _rand.rayleigh
+wald = _rand.wald
+triangular = _rand.triangular
+
+binomial = _rand.binomial
+negative_binomial = _rand.negative_binomial
+poisson = _rand.poisson
+zipf = _rand.zipf
+geometric = _rand.geometric
+hypergeometric = _rand.hypergeometric
+logseries = _rand.logseries
+
+multivariate_normal = _rand.multivariate_normal
+multinomial = _rand.multinomial
+dirichlet = _rand.dirichlet
+
+shuffle = _rand.shuffle
+permutation = _rand.permutation
diff --git a/numpy/random/mtrand/numpy.pxi b/numpy/random/mtrand/numpy.pxi
new file mode 100644
index 000000000..11cb8fac9
--- /dev/null
+++ b/numpy/random/mtrand/numpy.pxi
@@ -0,0 +1,133 @@
+# :Author: Travis Oliphant
+
+cdef extern from "numpy/arrayobject.h":
+
+ cdef enum NPY_TYPES:
+ NPY_BOOL
+ NPY_BYTE
+ NPY_UBYTE
+ NPY_SHORT
+ NPY_USHORT
+ NPY_INT
+ NPY_UINT
+ NPY_LONG
+ NPY_ULONG
+ NPY_LONGLONG
+ NPY_ULONGLONG
+ NPY_FLOAT
+ NPY_DOUBLE
+ NPY_LONGDOUBLE
+ NPY_CFLOAT
+ NPY_CDOUBLE
+ NPY_CLONGDOUBLE
+ NPY_OBJECT
+ NPY_STRING
+ NPY_UNICODE
+ NPY_VOID
+ NPY_NTYPES
+ NPY_NOTYPE
+
+ cdef enum requirements:
+ NPY_CONTIGUOUS
+ NPY_FORTRAN
+ NPY_OWNDATA
+ NPY_FORCECAST
+ NPY_ENSURECOPY
+ NPY_ENSUREARRAY
+ NPY_ELEMENTSTRIDES
+ NPY_ALIGNED
+ NPY_NOTSWAPPED
+ NPY_WRITEABLE
+ NPY_UPDATEIFCOPY
+ NPY_ARR_HAS_DESCR
+
+ NPY_BEHAVED
+ NPY_BEHAVED_NS
+ NPY_CARRAY
+ NPY_CARRAY_RO
+ NPY_FARRAY
+ NPY_FARRAY_RO
+ NPY_DEFAULT
+
+ NPY_IN_ARRAY
+ NPY_OUT_ARRAY
+ NPY_INOUT_ARRAY
+ NPY_IN_FARRAY
+ NPY_OUT_FARRAY
+ NPY_INOUT_FARRAY
+
+ NPY_UPDATE_ALL
+
+ cdef enum defines:
+ NPY_MAXDIMS
+
+ ctypedef struct npy_cdouble:
+ double real
+ double imag
+
+ ctypedef struct npy_cfloat:
+ double real
+ double imag
+
+ ctypedef int npy_intp
+
+ ctypedef extern class numpy.dtype [object PyArray_Descr]:
+ cdef int type_num, elsize, alignment
+ cdef char type, kind, byteorder, hasobject
+ cdef object fields, typeobj
+
+ ctypedef extern class numpy.ndarray [object PyArrayObject]:
+ cdef char *data
+ cdef int nd
+ cdef npy_intp *dimensions
+ cdef npy_intp *strides
+ cdef object base
+ cdef dtype descr
+ cdef int flags
+
+ ctypedef extern class numpy.flatiter [object PyArrayIterObject]:
+ cdef int nd_m1
+ cdef npy_intp index, size
+ cdef ndarray ao
+ cdef char *dataptr
+
+ ctypedef extern class numpy.broadcast [object PyArrayMultiIterObject]:
+ cdef int numiter
+ cdef npy_intp size, index
+ cdef int nd
+ cdef npy_intp *dimensions
+ cdef void **iters
+
+ object PyArray_ZEROS(int ndims, npy_intp* dims, NPY_TYPES type_num, int fortran)
+ object PyArray_EMPTY(int ndims, npy_intp* dims, NPY_TYPES type_num, int fortran)
+ dtype PyArray_DescrFromTypeNum(NPY_TYPES type_num)
+ object PyArray_SimpleNew(int ndims, npy_intp* dims, NPY_TYPES type_num)
+ int PyArray_Check(object obj)
+ object PyArray_ContiguousFromAny(object obj, NPY_TYPES type,
+ int mindim, int maxdim)
+ object PyArray_ContiguousFromObject(object obj, NPY_TYPES type,
+ int mindim, int maxdim)
+ npy_intp PyArray_SIZE(ndarray arr)
+ npy_intp PyArray_NBYTES(ndarray arr)
+ void *PyArray_DATA(ndarray arr)
+ object PyArray_FromAny(object obj, dtype newtype, int mindim, int maxdim,
+ int requirements, object context)
+ object PyArray_FROMANY(object obj, NPY_TYPES type_num, int min,
+ int max, int requirements)
+ object PyArray_NewFromDescr(object subtype, dtype newtype, int nd,
+ npy_intp* dims, npy_intp* strides, void* data,
+ int flags, object parent)
+
+ object PyArray_FROM_OTF(object obj, NPY_TYPES type, int flags)
+ object PyArray_EnsureArray(object)
+
+ object PyArray_MultiIterNew(int n, ...)
+
+ char *PyArray_MultiIter_DATA(broadcast multi, int i)
+ void PyArray_MultiIter_NEXTi(broadcast multi, int i)
+ void PyArray_MultiIter_NEXT(broadcast multi)
+
+ object PyArray_IterNew(object arr)
+ void PyArray_ITER_NEXT(flatiter it)
+
+ void import_array()
diff --git a/numpy/random/mtrand/randomkit.c b/numpy/random/mtrand/randomkit.c
new file mode 100644
index 000000000..56f52c0b4
--- /dev/null
+++ b/numpy/random/mtrand/randomkit.c
@@ -0,0 +1,365 @@
+/* Random kit 1.3 */
+
+/*
+ * Copyright (c) 2003-2005, Jean-Sebastien Roy (js@jeannot.org)
+ *
+ * The rk_random and rk_seed functions algorithms and the original design of
+ * the Mersenne Twister RNG:
+ *
+ * Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * 3. The names of its contributors may not be used to endorse or promote
+ * products derived from this software without specific prior written
+ * permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * Original algorithm for the implementation of rk_interval function from
+ * Richard J. Wagner's implementation of the Mersenne Twister RNG, optimised by
+ * Magnus Jonsson.
+ *
+ * Constants used in the rk_double implementation by Isaku Wada.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+/* static char const rcsid[] =
+ "@(#) $Jeannot: randomkit.c,v 1.28 2005/07/21 22:14:09 js Exp $"; */
+
+#include <stddef.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <errno.h>
+#include <time.h>
+#include <limits.h>
+#include <math.h>
+
+#ifdef _WIN32
+/* Windows */
+#include <sys/timeb.h>
+#ifndef RK_NO_WINCRYPT
+/* Windows crypto */
+#ifndef _WIN32_WINNT
+#define _WIN32_WINNT 0x0400
+#endif
+#include <windows.h>
+#include <wincrypt.h>
+#endif
+#else
+/* Unix */
+#include <sys/time.h>
+#include <unistd.h>
+#endif
+
+#include "randomkit.h"
+
+#ifndef RK_DEV_URANDOM
+#define RK_DEV_URANDOM "/dev/urandom"
+#endif
+
+#ifndef RK_DEV_RANDOM
+#define RK_DEV_RANDOM "/dev/random"
+#endif
+
+char *rk_strerror[RK_ERR_MAX] =
+{
+ "no error",
+ "random device unvavailable"
+};
+
+/* static functions */
+static unsigned long rk_hash(unsigned long key);
+
+void rk_seed(unsigned long seed, rk_state *state)
+{
+ int pos;
+ seed &= 0xffffffffUL;
+
+ /* Knuth's PRNG as used in the Mersenne Twister reference implementation */
+ for (pos=0; pos<RK_STATE_LEN; pos++)
+ {
+ state->key[pos] = seed;
+ seed = (1812433253UL * (seed ^ (seed >> 30)) + pos + 1) & 0xffffffffUL;
+ }
+
+ state->pos = RK_STATE_LEN;
+ state->has_gauss = 0;
+ state->has_binomial = 0;
+}
+
+/* Thomas Wang 32 bits integer hash function */
+unsigned long rk_hash(unsigned long key)
+{
+ key += ~(key << 15);
+ key ^= (key >> 10);
+ key += (key << 3);
+ key ^= (key >> 6);
+ key += ~(key << 11);
+ key ^= (key >> 16);
+ return key;
+}
+
+rk_error rk_randomseed(rk_state *state)
+{
+#ifndef _WIN32
+ struct timeval tv;
+#else
+ struct _timeb tv;
+#endif
+ int i;
+
+ if(rk_devfill(state->key, sizeof(state->key), 0) == RK_NOERR)
+ {
+ state->key[0] |= 0x80000000UL; /* ensures non-zero key */
+ state->pos = RK_STATE_LEN;
+ state->has_gauss = 0;
+ state->has_binomial = 0;
+
+ for (i=0; i<624; i++)
+ {
+ state->key[i] &= 0xffffffffUL;
+ }
+
+ return RK_NOERR;
+ }
+
+#ifndef _WIN32
+ gettimeofday(&tv, NULL);
+ rk_seed(rk_hash(getpid()) ^ rk_hash(tv.tv_sec) ^ rk_hash(tv.tv_usec)
+ ^ rk_hash(clock()), state);
+#else
+ _ftime(&tv);
+ rk_seed(rk_hash(tv.time) ^ rk_hash(tv.millitm) ^ rk_hash(clock()), state);
+#endif
+
+ return RK_ENODEV;
+}
+
+/* Magic Mersenne Twister constants */
+#define N 624
+#define M 397
+#define MATRIX_A 0x9908b0dfUL
+#define UPPER_MASK 0x80000000UL
+#define LOWER_MASK 0x7fffffffUL
+
+/* Slightly optimised reference implementation of the Mersenne Twister */
+unsigned long rk_random(rk_state *state)
+{
+ unsigned long y;
+
+ if (state->pos == RK_STATE_LEN)
+ {
+ int i;
+
+ for (i=0;i<N-M;i++)
+ {
+ y = (state->key[i] & UPPER_MASK) | (state->key[i+1] & LOWER_MASK);
+ state->key[i] = state->key[i+M] ^ (y>>1) ^ (-(y & 1) & MATRIX_A);
+ }
+ for (;i<N-1;i++)
+ {
+ y = (state->key[i] & UPPER_MASK) | (state->key[i+1] & LOWER_MASK);
+ state->key[i] = state->key[i+(M-N)] ^ (y>>1) ^ (-(y & 1) & MATRIX_A);
+ }
+ y = (state->key[N-1] & UPPER_MASK) | (state->key[0] & LOWER_MASK);
+ state->key[N-1] = state->key[M-1] ^ (y>>1) ^ (-(y & 1) & MATRIX_A);
+
+ state->pos = 0;
+ }
+
+ y = state->key[state->pos++];
+
+ /* Tempering */
+ y ^= (y >> 11);
+ y ^= (y << 7) & 0x9d2c5680UL;
+ y ^= (y << 15) & 0xefc60000UL;
+ y ^= (y >> 18);
+
+ return y;
+}
+
+long rk_long(rk_state *state)
+{
+ return rk_ulong(state) >> 1;
+}
+
+unsigned long rk_ulong(rk_state *state)
+{
+#if ULONG_MAX <= 0xffffffffUL
+ return rk_random(state);
+#else
+ return (rk_random(state) << 32) | (rk_random(state));
+#endif
+}
+
+unsigned long rk_interval(unsigned long max, rk_state *state)
+{
+ unsigned long mask = max, value;
+
+ if (max == 0) return 0;
+
+ /* Smallest bit mask >= max */
+ mask |= mask >> 1;
+ mask |= mask >> 2;
+ mask |= mask >> 4;
+ mask |= mask >> 8;
+ mask |= mask >> 16;
+#if ULONG_MAX > 0xffffffffUL
+ mask |= mask >> 32;
+#endif
+
+ /* Search a random value in [0..mask] <= max */
+#if ULONG_MAX > 0xffffffffUL
+ if (max <= 0xffffffffUL) {
+ while ((value = (rk_random(state) & mask)) > max);
+ } else {
+ while ((value = (rk_ulong(state) & mask)) > max);
+ }
+#else
+ while ((value = (rk_ulong(state) & mask)) > max);
+#endif
+
+ return value;
+}
+
+double rk_double(rk_state *state)
+{
+ /* shifts : 67108864 = 0x4000000, 9007199254740992 = 0x20000000000000 */
+ long a = rk_random(state) >> 5, b = rk_random(state) >> 6;
+ return (a * 67108864.0 + b) / 9007199254740992.0;
+}
+
+void rk_fill(void *buffer, size_t size, rk_state *state)
+{
+ unsigned long r;
+ unsigned char *buf = buffer;
+
+ for (; size >= 4; size -= 4)
+ {
+ r = rk_random(state);
+ *(buf++) = r & 0xFF;
+ *(buf++) = (r >> 8) & 0xFF;
+ *(buf++) = (r >> 16) & 0xFF;
+ *(buf++) = (r >> 24) & 0xFF;
+ }
+
+ if (!size) return;
+
+ r = rk_random(state);
+
+ for (; size; r >>= 8, size --)
+ *(buf++) = (unsigned char)(r & 0xFF);
+}
+
+rk_error rk_devfill(void *buffer, size_t size, int strong)
+{
+#ifndef _WIN32
+ FILE *rfile;
+ int done;
+
+ if (strong)
+ rfile = fopen(RK_DEV_RANDOM, "rb");
+ else
+ rfile = fopen(RK_DEV_URANDOM, "rb");
+ if (rfile == NULL)
+ return RK_ENODEV;
+ done = fread(buffer, size, 1, rfile);
+ fclose(rfile);
+ if (done)
+ return RK_NOERR;
+#else
+
+#ifndef RK_NO_WINCRYPT
+ HCRYPTPROV hCryptProv;
+ BOOL done;
+
+ if (!CryptAcquireContext(&hCryptProv, NULL, NULL, PROV_RSA_FULL,
+ CRYPT_VERIFYCONTEXT) || !hCryptProv)
+ return RK_ENODEV;
+ done = CryptGenRandom(hCryptProv, size, (unsigned char *)buffer);
+ CryptReleaseContext(hCryptProv, 0);
+ if (done)
+ return RK_NOERR;
+#endif
+
+#endif
+
+ return RK_ENODEV;
+}
+
+rk_error rk_altfill(void *buffer, size_t size, int strong, rk_state *state)
+{
+ rk_error err;
+
+ err = rk_devfill(buffer, size, strong);
+ if (err)
+ rk_fill(buffer, size, state);
+
+ return err;
+}
+
+double rk_gauss(rk_state *state)
+{
+ if (state->has_gauss)
+ {
+ state->has_gauss = 0;
+ return state->gauss;
+ }
+ else
+ {
+ double f, x1, x2, r2;
+ do
+ {
+ x1 = 2.0*rk_double(state) - 1.0;
+ x2 = 2.0*rk_double(state) - 1.0;
+ r2 = x1*x1 + x2*x2;
+ }
+ while (r2 >= 1.0 || r2 == 0.0);
+
+ f = sqrt(-2.0*log(r2)/r2); /* Box-Muller transform */
+ state->has_gauss = 1;
+ state->gauss = f*x1; /* Keep for next call */
+ return f*x2;
+ }
+}
+
+
diff --git a/numpy/random/mtrand/randomkit.h b/numpy/random/mtrand/randomkit.h
new file mode 100644
index 000000000..389666854
--- /dev/null
+++ b/numpy/random/mtrand/randomkit.h
@@ -0,0 +1,189 @@
+/* Random kit 1.3 */
+
+/*
+ * Copyright (c) 2003-2005, Jean-Sebastien Roy (js@jeannot.org)
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the
+ * "Software"), to deal in the Software without restriction, including
+ * without limitation the rights to use, copy, modify, merge, publish,
+ * distribute, sublicense, and/or sell copies of the Software, and to
+ * permit persons to whom the Software is furnished to do so, subject to
+ * the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+ * IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+ * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
+ * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
+ * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+ */
+
+/* @(#) $Jeannot: randomkit.h,v 1.24 2005/07/21 22:14:09 js Exp $ */
+
+/*
+ * Typical use:
+ *
+ * {
+ * rk_state state;
+ * unsigned long seed = 1, random_value;
+ *
+ * rk_seed(seed, &state); // Initialize the RNG
+ * ...
+ * random_value = rk_random(&state); // Generate random values in [0..RK_MAX]
+ * }
+ *
+ * Instead of rk_seed, you can use rk_randomseed which will get a random seed
+ * from /dev/urandom (or the clock, if /dev/urandom is unavailable):
+ *
+ * {
+ * rk_state state;
+ * unsigned long random_value;
+ *
+ * rk_randomseed(&state); // Initialize the RNG with a random seed
+ * ...
+ * random_value = rk_random(&state); // Generate random values in [0..RK_MAX]
+ * }
+ */
+
+/*
+ * Useful macro:
+ * RK_DEV_RANDOM: the device used for random seeding.
+ * defaults to "/dev/urandom"
+ */
+
+#include <stddef.h>
+
+#ifndef _RANDOMKIT_
+#define _RANDOMKIT_
+
+#define RK_STATE_LEN 624
+
+typedef struct rk_state_
+{
+ unsigned long key[RK_STATE_LEN];
+ int pos;
+ int has_gauss; /* !=0: gauss contains a gaussian deviate */
+ double gauss;
+
+ /* The rk_state structure has been extended to store the following
+ * information for the binomial generator. If the input values of n or p
+ * are different than nsave and psave, then the other parameters will be
+ * recomputed. RTK 2005-09-02 */
+
+ int has_binomial; /* !=0: following parameters initialized for
+ binomial */
+ double psave;
+ long nsave;
+ double r;
+ double q;
+ double fm;
+ long m;
+ double p1;
+ double xm;
+ double xl;
+ double xr;
+ double c;
+ double laml;
+ double lamr;
+ double p2;
+ double p3;
+ double p4;
+
+}
+rk_state;
+
+typedef enum {
+ RK_NOERR = 0, /* no error */
+ RK_ENODEV = 1, /* no RK_DEV_RANDOM device */
+ RK_ERR_MAX = 2
+} rk_error;
+
+/* error strings */
+extern char *rk_strerror[RK_ERR_MAX];
+
+/* Maximum generated random value */
+#define RK_MAX 0xFFFFFFFFUL
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/*
+ * Initialize the RNG state using the given seed.
+ */
+extern void rk_seed(unsigned long seed, rk_state *state);
+
+/*
+ * Initialize the RNG state using a random seed.
+ * Uses /dev/random or, when unavailable, the clock (see randomkit.c).
+ * Returns RK_NOERR when no errors occurs.
+ * Returns RK_ENODEV when the use of RK_DEV_RANDOM failed (for example because
+ * there is no such device). In this case, the RNG was initialized using the
+ * clock.
+ */
+extern rk_error rk_randomseed(rk_state *state);
+
+/*
+ * Returns a random unsigned long between 0 and RK_MAX inclusive
+ */
+extern unsigned long rk_random(rk_state *state);
+
+/*
+ * Returns a random long between 0 and LONG_MAX inclusive
+ */
+extern long rk_long(rk_state *state);
+
+/*
+ * Returns a random unsigned long between 0 and ULONG_MAX inclusive
+ */
+extern unsigned long rk_ulong(rk_state *state);
+
+/*
+ * Returns a random unsigned long between 0 and max inclusive.
+ */
+extern unsigned long rk_interval(unsigned long max, rk_state *state);
+
+/*
+ * Returns a random double between 0.0 and 1.0, 1.0 excluded.
+ */
+extern double rk_double(rk_state *state);
+
+/*
+ * fill the buffer with size random bytes
+ */
+extern void rk_fill(void *buffer, size_t size, rk_state *state);
+
+/*
+ * fill the buffer with randombytes from the random device
+ * Returns RK_ENODEV if the device is unavailable, or RK_NOERR if it is
+ * On Unix, if strong is defined, RK_DEV_RANDOM is used. If not, RK_DEV_URANDOM
+ * is used instead. This parameter has no effect on Windows.
+ * Warning: on most unixes RK_DEV_RANDOM will wait for enough entropy to answer
+ * which can take a very long time on quiet systems.
+ */
+extern rk_error rk_devfill(void *buffer, size_t size, int strong);
+
+/*
+ * fill the buffer using rk_devfill if the random device is available and using
+ * rk_fill if is is not
+ * parameters have the same meaning as rk_fill and rk_devfill
+ * Returns RK_ENODEV if the device is unavailable, or RK_NOERR if it is
+ */
+extern rk_error rk_altfill(void *buffer, size_t size, int strong,
+ rk_state *state);
+
+/*
+ * return a random gaussian deviate with variance unity and zero mean.
+ */
+extern double rk_gauss(rk_state *state);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* _RANDOMKIT_ */
diff --git a/numpy/random/setup.py b/numpy/random/setup.py
new file mode 100644
index 000000000..6525034a8
--- /dev/null
+++ b/numpy/random/setup.py
@@ -0,0 +1,53 @@
+from os.path import join, split
+
+def configuration(parent_package='',top_path=None):
+ from numpy.distutils.misc_util import Configuration, get_mathlibs
+ config = Configuration('random',parent_package,top_path)
+
+ def generate_libraries(ext, build_dir):
+ config_cmd = config.get_config_cmd()
+ if top_path is None:
+ libs = get_mathlibs()
+ else:
+ path = join(split(build_dir)[0],'core')
+ libs = get_mathlibs(path)
+ tc = testcode_wincrypt()
+ if config_cmd.try_run(tc):
+ libs.append('Advapi32')
+ ext.libraries.extend(libs)
+ return None
+
+ libs = []
+ # Configure mtrand
+ config.add_extension('mtrand',
+ sources=[join('mtrand', x) for x in
+ ['mtrand.c', 'randomkit.c', 'initarray.c',
+ 'distributions.c']]+[generate_libraries],
+ libraries=libs,
+ depends = [join('mtrand','*.h'),
+ join('mtrand','*.pyx'),
+ join('mtrand','*.pxi'),
+ ]
+ )
+
+ config.add_data_files(('.', join('mtrand', 'randomkit.h')))
+
+ return config
+
+def testcode_wincrypt():
+ return """\
+/* check to see if _WIN32 is defined */
+int main(int argc, char *argv[])
+{
+#ifdef _WIN32
+ return 0;
+#else
+#error No _WIN32
+#endif
+ return -1;
+}
+"""
+
+if __name__ == '__main__':
+ from numpy.distutils.core import setup
+ setup(configuration=configuration)