4 files changed, 431 insertions, 1 deletions

diff --git a/packages/base/hmatrix.cabal b/packages/base/hmatrix.cabal
index 31bea3e..e248886 100644
--- a/packages/base/hmatrix.cabal
+++ b/packages/base/hmatrix.cabal
@@ -25,6 +25,7 @@ build-type:         Simple
 extra-source-files: THANKS.md CHANGELOG
 
 extra-source-files: src/Internal/C/lapack-aux.h
+                    src/Internal/C/windows_random_r.h
 
 flag openblas
     description:    Link with OpenBLAS (https://github.com/xianyi/OpenBLAS) optimized libraries.
@@ -74,9 +75,10 @@ library
                         Internal.Util
                         Internal.Modular
                         Internal.Static
-                        
+
     C-sources:          src/Internal/C/lapack-aux.c
                         src/Internal/C/vector-aux.c
+                        src/Internal/C/windows_random_r.c
 
 
     extensions:         ForeignFunctionInterface,
diff --git a/packages/base/src/Internal/C/vector-aux.c b/packages/base/src/Internal/C/vector-aux.c
index 5528a9d..a370214 100644
--- a/packages/base/src/Internal/C/vector-aux.c
+++ b/packages/base/src/Internal/C/vector-aux.c
@@ -7,6 +7,7 @@ typedef float  complex TCF;
 #undef complex
 
 #include "lapack-aux.h"
+#include "windows_random_r.h"
 
 #define V(x) x##n,x##p
 
diff --git a/packages/base/src/Internal/C/windows_random_r.c b/packages/base/src/Internal/C/windows_random_r.c
new file mode 100644
index 0000000..872cb2e
--- /dev/null
+++ b/packages/base/src/Internal/C/windows_random_r.c
@@ -0,0 +1,392 @@
+#if defined(_WIN32) || defined(WIN32)
+
+/*
+   Copyright (C) 1995-2015 Free Software Foundation, Inc.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+/*
+   Copyright (C) 1983 Regents of the University of California.
+   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.
+   4. Neither the name of the University nor the names of its contributors
+      may be used to endorse or promote products derived from this software
+      without specific prior written permission.
+
+   THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 REGENTS 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.*/
+
+/*
+ * This is derived from the Berkeley source:
+ *      @(#)random.c    5.5 (Berkeley) 7/6/88
+ * It was reworked for the GNU C Library by Roland McGrath.
+ * Rewritten to be reentrant by Ulrich Drepper, 1995
+ */
+
+#include "windows_random_r.h"
+
+/* An improved random number generation package.  In addition to the standard
+   rand()/srand() like interface, this package also has a special state info
+   interface.  The initstate() routine is called with a seed, an array of
+   bytes, and a count of how many bytes are being passed in; this array is
+   then initialized to contain information for random number generation with
+   that much state information.  Good sizes for the amount of state
+   information are 32, 64, 128, and 256 bytes.  The state can be switched by
+   calling the setstate() function with the same array as was initialized
+   with initstate().  By default, the package runs with 128 bytes of state
+   information and generates far better random numbers than a linear
+   congruential generator.  If the amount of state information is less than
+   32 bytes, a simple linear congruential R.N.G. is used.  Internally, the
+   state information is treated as an array of longs; the zeroth element of
+   the array is the type of R.N.G. being used (small integer); the remainder
+   of the array is the state information for the R.N.G.  Thus, 32 bytes of
+   state information will give 7 longs worth of state information, which will
+   allow a degree seven polynomial.  (Note: The zeroth word of state
+   information also has some other information stored in it; see setstate
+   for details).  The random number generation technique is a linear feedback
+   shift register approach, employing trinomials (since there are fewer terms
+   to sum up that way).  In this approach, the least significant bit of all
+   the numbers in the state table will act as a linear feedback shift register,
+   and will have period 2^deg - 1 (where deg is the degree of the polynomial
+   being used, assuming that the polynomial is irreducible and primitive).
+   The higher order bits will have longer periods, since their values are
+   also influenced by pseudo-random carries out of the lower bits.  The
+   total period of the generator is approximately deg*(2**deg - 1); thus
+   doubling the amount of state information has a vast influence on the
+   period of the generator.  Note: The deg*(2**deg - 1) is an approximation
+   only good for large deg, when the period of the shift register is the
+   dominant factor.  With deg equal to seven, the period is actually much
+   longer than the 7*(2**7 - 1) predicted by this formula.  */
+
+
+
+/* For each of the currently supported random number generators, we have a
+   break value on the amount of state information (you need at least this many
+   bytes of state info to support this random number generator), a degree for
+   the polynomial (actually a trinomial) that the R.N.G. is based on, and
+   separation between the two lower order coefficients of the trinomial.  */
+
+/* Linear congruential.  */
+#define TYPE_0          0
+#define BREAK_0         8
+#define DEG_0           0
+#define SEP_0           0
+
+/* x**7 + x**3 + 1.  */
+#define TYPE_1          1
+#define BREAK_1         32
+#define DEG_1           7
+#define SEP_1           3
+
+/* x**15 + x + 1.  */
+#define TYPE_2          2
+#define BREAK_2         64
+#define DEG_2           15
+#define SEP_2           1
+
+/* x**31 + x**3 + 1.  */
+#define TYPE_3          3
+#define BREAK_3         128
+#define DEG_3           31
+#define SEP_3           3
+
+/* x**63 + x + 1.  */
+#define TYPE_4          4
+#define BREAK_4         256
+#define DEG_4           63
+#define SEP_4           1
+
+
+/* Array versions of the above information to make code run faster.
+   Relies on fact that TYPE_i == i.  */
+
+#define MAX_TYPES       5       /* Max number of types above.  */
+
+struct random_poly_info
+{
+  int seps[MAX_TYPES];
+  int degrees[MAX_TYPES];
+};
+
+static const struct random_poly_info random_poly_info =
+{
+  { SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 },
+  { DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 }
+};
+
+
+
+
+/* Initialize the random number generator based on the given seed.  If the
+   type is the trivial no-state-information type, just remember the seed.
+   Otherwise, initializes state[] based on the given "seed" via a linear
+   congruential generator.  Then, the pointers are set to known locations
+   that are exactly rand_sep places apart.  Lastly, it cycles the state
+   information a given number of times to get rid of any initial dependencies
+   introduced by the L.C.R.N.G.  Note that the initialization of randtbl[]
+   for default usage relies on values produced by this routine.  */
+int srandom_r (unsigned int seed, struct random_data *buf)
+{
+  int type;
+  int32_t *state;
+  long int i;
+  int32_t word;
+  int32_t *dst;
+  int kc;
+
+  if (buf == NULL)
+    goto fail;
+  type = buf->rand_type;
+  if ((unsigned int) type >= MAX_TYPES)
+    goto fail;
+
+  state = buf->state;
+  /* We must make sure the seed is not 0.  Take arbitrarily 1 in this case.  */
+  if (seed == 0)
+    seed = 1;
+  state[0] = seed;
+  if (type == TYPE_0)
+    goto done;
+
+  dst = state;
+  word = seed;
+  kc = buf->rand_deg;
+  for (i = 1; i < kc; ++i)
+    {
+      /* This does:
+           state[i] = (16807 * state[i - 1]) % 2147483647;
+         but avoids overflowing 31 bits.  */
+      long int hi = word / 127773;
+      long int lo = word % 127773;
+      word = 16807 * lo - 2836 * hi;
+      if (word < 0)
+        word += 2147483647;
+      *++dst = word;
+    }
+
+  buf->fptr = &state[buf->rand_sep];
+  buf->rptr = &state[0];
+  kc *= 10;
+  while (--kc >= 0)
+    {
+      int32_t discard;
+      (void) random_r (buf, &discard);
+    }
+
+ done:
+  return 0;
+
+ fail:
+  return -1;
+}
+
+/* Initialize the state information in the given array of N bytes for
+   future random number generation.  Based on the number of bytes we
+   are given, and the break values for the different R.N.G.'s, we choose
+   the best (largest) one we can and set things up for it.  srandom is
+   then called to initialize the state information.  Note that on return
+   from srandom, we set state[-1] to be the type multiplexed with the current
+   value of the rear pointer; this is so successive calls to initstate won't
+   lose this information and will be able to restart with setstate.
+   Note: The first thing we do is save the current state, if any, just like
+   setstate so that it doesn't matter when initstate is called.
+   Returns 0 on success, non-zero on failure.  */
+int initstate_r (unsigned int seed,
+        char *arg_state,
+        size_t n,
+        struct random_data *buf)
+{
+  if (buf == NULL)
+    goto fail;
+
+  int32_t *old_state = buf->state;
+  if (old_state != NULL)
+    {
+      int old_type = buf->rand_type;
+      if (old_type == TYPE_0)
+        old_state[-1] = TYPE_0;
+      else
+        old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type;
+    }
+
+  int type;
+  if (n >= BREAK_3)
+    type = n < BREAK_4 ? TYPE_3 : TYPE_4;
+  else if (n < BREAK_1)
+    {
+      if (n < BREAK_0)
+        goto fail;
+
+      type = TYPE_0;
+    }
+  else
+    type = n < BREAK_2 ? TYPE_1 : TYPE_2;
+
+  int degree = random_poly_info.degrees[type];
+  int separation = random_poly_info.seps[type];
+
+  buf->rand_type = type;
+  buf->rand_sep = separation;
+  buf->rand_deg = degree;
+  int32_t *state = &((int32_t *) arg_state)[1]; /* First location.  */
+  /* Must set END_PTR before srandom.  */
+  buf->end_ptr = &state[degree];
+
+  buf->state = state;
+
+  srandom_r (seed, buf);
+
+  state[-1] = TYPE_0;
+  if (type != TYPE_0)
+    state[-1] = (buf->rptr - state) * MAX_TYPES + type;
+
+  return 0;
+
+ fail:
+  __set_errno (EINVAL);
+  return -1;
+}
+
+/* Restore the state from the given state array.
+   Note: It is important that we also remember the locations of the pointers
+   in the current state information, and restore the locations of the pointers
+   from the old state information.  This is done by multiplexing the pointer
+   location into the zeroth word of the state information. Note that due
+   to the order in which things are done, it is OK to call setstate with the
+   same state as the current state
+   Returns 0 on success, non-zero on failure.  */
+int setstate_r (char *arg_state, struct random_data *buf)
+{
+  int32_t *new_state = 1 + (int32_t *) arg_state;
+  int type;
+  int old_type;
+  int32_t *old_state;
+  int degree;
+  int separation;
+
+  if (arg_state == NULL || buf == NULL)
+    goto fail;
+
+  old_type = buf->rand_type;
+  old_state = buf->state;
+  if (old_type == TYPE_0)
+    old_state[-1] = TYPE_0;
+  else
+    old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type;
+
+  type = new_state[-1] % MAX_TYPES;
+  if (type < TYPE_0 || type > TYPE_4)
+    goto fail;
+
+  buf->rand_deg = degree = random_poly_info.degrees[type];
+  buf->rand_sep = separation = random_poly_info.seps[type];
+  buf->rand_type = type;
+
+  if (type != TYPE_0)
+    {
+      int rear = new_state[-1] / MAX_TYPES;
+      buf->rptr = &new_state[rear];
+      buf->fptr = &new_state[(rear + separation) % degree];
+    }
+  buf->state = new_state;
+  /* Set end_ptr too.  */
+  buf->end_ptr = &new_state[degree];
+
+  return 0;
+
+ fail:
+  __set_errno (EINVAL);
+  return -1;
+}
+
+/* If we are using the trivial TYPE_0 R.N.G., just do the old linear
+   congruential bit.  Otherwise, we do our fancy trinomial stuff, which is the
+   same in all the other cases due to all the global variables that have been
+   set up.  The basic operation is to add the number at the rear pointer into
+   the one at the front pointer.  Then both pointers are advanced to the next
+   location cyclically in the table.  The value returned is the sum generated,
+   reduced to 31 bits by throwing away the "least random" low bit.
+   Note: The code takes advantage of the fact that both the front and
+   rear pointers can't wrap on the same call by not testing the rear
+   pointer if the front one has wrapped.  Returns a 31-bit random number.  */
+
+int random_r (struct random_data *buf, int32_t *result)
+{
+  int32_t *state;
+
+  if (buf == NULL || result == NULL)
+    goto fail;
+
+  state = buf->state;
+
+  if (buf->rand_type == TYPE_0)
+    {
+      int32_t val = state[0];
+      val = ((state[0] * 1103515245) + 12345) & 0x7fffffff;
+      state[0] = val;
+      *result = val;
+    }
+  else
+    {
+      int32_t *fptr = buf->fptr;
+      int32_t *rptr = buf->rptr;
+      int32_t *end_ptr = buf->end_ptr;
+      int32_t val;
+
+      val = *fptr += *rptr;
+      /* Chucking least random bit.  */
+      *result = (val >> 1) & 0x7fffffff;
+      ++fptr;
+      if (fptr >= end_ptr)
+        {
+          fptr = state;
+          ++rptr;
+        }
+      else
+        {
+          ++rptr;
+          if (rptr >= end_ptr)
+            rptr = state;
+        }
+      buf->fptr = fptr;
+      buf->rptr = rptr;
+    }
+  return 0;
+
+ fail:
+  __set_errno (EINVAL);
+  return -1;
+}
+
+int windows_random_r;
+#endif
\ No newline at end of file
diff --git a/packages/base/src/Internal/C/windows_random_r.h b/packages/base/src/Internal/C/windows_random_r.h
new file mode 100644
index 0000000..4f4d32f
--- /dev/null
+++ b/packages/base/src/Internal/C/windows_random_r.h
@@ -0,0 +1,35 @@
+#if defined(_WIN32) || defined(WIN32)
+
+#ifndef WINDOWS_RANDOM_R_H
+#define WINDOWS_RANDOM_R_H
+
+#include <stddef.h>
+
+#define EINVAL 23
+
+typedef int int32_t;
+
+struct random_data
+{
+    int *fptr;          /* Front pointer.  */
+    int *rptr;          /* Rear pointer.  */
+    int *state;         /* Array of state values.  */
+    int rand_type;      /* Type of random number generator.  */
+    int rand_deg;       /* Degree of random number generator.  */
+    int rand_sep;       /* Distance between front and rear.  */
+    int *end_ptr;       /* Pointer behind state table.  */
+};
+
+extern int windows_random_r_errno;
+
+static inline void __set_errno(int err) { windows_random_r_errno = err; };
+
+int random_r (struct random_data *buf, int32_t *result);
+
+int initstate_r (unsigned int seed,
+        char *arg_state,
+        /*unsigned long*/ size_t n,
+        struct random_data *buf);
+
+#endif
+#endif
\ No newline at end of file