rng.cc

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/* Copyright (C) 2003-2008 Cory Davis <cory@met.ed.ac.uk>
 
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program 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 General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA. */
 
/*===========================================================================
  === File description 
  ===========================================================================*/
 
#include "rng.h"
#include <cstring>
#include <iostream>
#include <algorithm>
#include <vector>
#include <climits>
#include <cstddef>
#include <cstdlib>
#include <cstdio>
 
#include "arts.h"
#include "messages.h"
 
 
Rng::Rng()                            
{
  r = gsl_rng_alloc (gsl_rng_mt19937);
}
 
 
Rng::~Rng()
{
  gsl_rng_free (r);
}
 
void Rng::seed(unsigned long int n, const Verbosity& verbosity)
{
  // Static pool of previously used seeds.
  static vector<unsigned long int> seeds;
 
#pragma omp critical
  {
    unsigned long int n_orig = n;
    //cout << "Requested seed: " << n;
    while (find(seeds.begin(), seeds.end(), n) != seeds.end())
    {
      if (n >= ULONG_MAX - 1)
        n=0;
      else
        n++;
      
      // If all possible seeds were already used, we empty the pool and
      // start over.
      if (n == n_orig)
      {
        CREATE_OUT0
        out0 << "Rng Warning: Couldn't find an unused seed. Clearing seed pool.\n";
        seeds.empty();
        break;
      }
    }
    seeds.push_back(n);
    seed_no=n;
    //cout << " Got seed: " << seed_no << endl;
  }
  
  gsl_rng_set(r,seed_no);
}
 
 
void Rng::force_seed(unsigned long int n)
{
  seed_no=n;
  gsl_rng_set(r,seed_no);
}
 
 
double Rng::draw()
{
  return gsl_rng_uniform (r);
}
 
 
unsigned long int Rng::showseed() const
{
  return seed_no; 
}
 
 
/* 
   rng/mt.c
   
   This program is free software; you can redistribute it and/or
   modify it under the terms of the GNU General Public License as
   published by the Free Software Foundation; either version 2 of the
   License, or (at your option) any later version.
 
   This program 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
   General Public License for more details.  You should have received
   a copy of the GNU General Public License along with this program;
   if not, write to the Free Foundation, Inc., 59 Temple Place, Suite
   330, Boston, MA 02111-1307 USA
 
   Original implementation was copyright (C) 1997 Makoto Matsumoto and
   Takuji Nishimura. Coded by Takuji Nishimura, considering the
   suggestions by Topher Cooper and Marc Rieffel in July-Aug. 1997, "A
   C-program for MT19937: Integer version (1998/4/6)"
 
   This implementation copyright (C) 1998 Brian Gough. I reorganized
   the code to use the module framework of GSL.  The license on this
   implementation was changed from LGPL to GPL, following paragraph 3
   of the LGPL, version 2.
 
   Update:
 
   The seeding procedure has been updated to match the 10/99 release
   of MT19937.
 
   Update:
 
   The seeding procedure has been updated again to match the 2002
   release of MT19937
 
   The original code included the comment: "When you use this, send an
   email to: matumoto@math.keio.ac.jp with an appropriate reference to
   your work".
 
   Makoto Matsumoto has a web page with more information about the
   generator, http://www.math.keio.ac.jp/~matumoto/emt.html. 
 
   The paper below has details of the algorithm.
 
   From: Makoto Matsumoto and Takuji Nishimura, "Mersenne Twister: A
   623-dimensionally equidistributerd uniform pseudorandom number
   generator". ACM Transactions on Modeling and Computer Simulation,
   Vol. 8, No. 1 (Jan. 1998), Pages 3-30
 
   You can obtain the paper directly from Makoto Matsumoto's web page.
 
   The period of this generator is 2^{19937} - 1.
 
*/
 
static inline unsigned long int mt_get (void *vstate);
static double mt_get_double (void *vstate);
static void mt_set (void *state, unsigned long int s);
 
#define N 624   /* Period parameters */
#define M 397
 
/* most significant w-r bits */
static const unsigned long UPPER_MASK = 0x80000000UL;   
 
/* least significant r bits */
static const unsigned long LOWER_MASK = 0x7fffffffUL;   
 
typedef struct
  {
    unsigned long mt[N];
    int mti;
  }
mt_state_t;
 
static inline unsigned long
mt_get (void *vstate)
{
  mt_state_t *state = (mt_state_t *) vstate;
 
  unsigned long k ;
  unsigned long int *const mt = state->mt;
 
#define MAGIC(y) (((y)&0x1) ? 0x9908b0dfUL : 0)
 
  if (state->mti >= N)
    {   /* generate N words at one time */
      int kk;
 
      for (kk = 0; kk < N - M; kk++)
        {
          unsigned long y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
          mt[kk] = mt[kk + M] ^ (y >> 1) ^ MAGIC(y);
        }
      for (; kk < N - 1; kk++)
        {
          unsigned long y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
          mt[kk] = mt[kk + (M - N)] ^ (y >> 1) ^ MAGIC(y);
        }
 
      {
        unsigned long y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
        mt[N - 1] = mt[M - 1] ^ (y >> 1) ^ MAGIC(y);
      }
 
      state->mti = 0;
    }
 
  /* Tempering */
  
  k = mt[state->mti];
  k ^= (k >> 11);
  k ^= (k << 7) & 0x9d2c5680UL;
  k ^= (k << 15) & 0xefc60000UL;
  k ^= (k >> 18);
 
  state->mti++;
 
  return k;
}
 
static double
mt_get_double (void * vstate)
{
  return (double)mt_get (vstate) / 4294967296.0 ;
}
 
static void
mt_set (void *vstate, unsigned long int s)
{
  mt_state_t *state = (mt_state_t *) vstate;
  int i;
 
  if (s == 0)
    s = 4357;   /* the default seed is 4357 */
 
  state->mt[0]= s & 0xffffffffUL;
 
  for (i = 1; i < N; i++)
    {
      /* See Knuth's "Art of Computer Programming" Vol. 2, 3rd
         Ed. p.106 for multiplier. */
 
      state->mt[i] =
        (1812433253UL * (state->mt[i-1] ^ (state->mt[i-1] >> 30)) + i);
      
      state->mt[i] &= 0xffffffffUL;
    }
 
  state->mti = i;
}
 
 
 
static const gsl_rng_type mt_type =
{"mt19937",                     /* name */
 0xffffffffUL,                  /* RAND_MAX  */
 0,                             /* RAND_MIN  */
 sizeof (mt_state_t),
 &mt_set,
 &mt_get,
 &mt_get_double};
 
 
const gsl_rng_type *gsl_rng_mt19937 = &mt_type;
unsigned long int gsl_rng_default_seed = 0;
/* rng/types.c
 * 
 * Copyright (C) 2001 Brian Gough
 * 
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or (at
 * your option) any later version.
 * 
 * This program 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
 * General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 */
 
#define N1 100
 
const gsl_rng_type * gsl_rng_generator_types[N1];
 
#define ADD(t) {if (i==N1) abort(); gsl_rng_generator_types[i] = (t); i++; };
 
const gsl_rng_type **
gsl_rng_types_setup (void)
{
  int i = 0;
 
  /*  ADD(gsl_rng_borosh13);
  ADD(gsl_rng_cmrg);
  ADD(gsl_rng_coveyou);
  ADD(gsl_rng_fishman18);
  ADD(gsl_rng_fishman20);
  ADD(gsl_rng_fishman2x);
  ADD(gsl_rng_gfsr4);
  ADD(gsl_rng_knuthran);
  ADD(gsl_rng_knuthran2);
  ADD(gsl_rng_lecuyer21);
  ADD(gsl_rng_minstd);
  ADD(gsl_rng_mrg);*/
  ADD(gsl_rng_mt19937);
  /*  ADD(gsl_rng_mt19937_1999);
  ADD(gsl_rng_mt19937_1998);
  ADD(gsl_rng_r250);
  ADD(gsl_rng_ran0);
  ADD(gsl_rng_ran1);
  ADD(gsl_rng_ran2);
  ADD(gsl_rng_ran3);
  ADD(gsl_rng_rand);
  ADD(gsl_rng_rand48);
  ADD(gsl_rng_random128_bsd);
  ADD(gsl_rng_random128_glibc2);
  ADD(gsl_rng_random128_libc5);
  ADD(gsl_rng_random256_bsd);
  ADD(gsl_rng_random256_glibc2);
  ADD(gsl_rng_random256_libc5);
  ADD(gsl_rng_random32_bsd);
  ADD(gsl_rng_random32_glibc2);
  ADD(gsl_rng_random32_libc5);
  ADD(gsl_rng_random64_bsd);
  ADD(gsl_rng_random64_glibc2);
  ADD(gsl_rng_random64_libc5);
  ADD(gsl_rng_random8_bsd);
  ADD(gsl_rng_random8_glibc2);
  ADD(gsl_rng_random8_libc5);
  ADD(gsl_rng_random_bsd);
  ADD(gsl_rng_random_glibc2);
  ADD(gsl_rng_random_libc5);
  ADD(gsl_rng_randu);
  ADD(gsl_rng_ranf);
  ADD(gsl_rng_ranlux);
  ADD(gsl_rng_ranlux389);
  ADD(gsl_rng_ranlxd1);
  ADD(gsl_rng_ranlxd2);
  ADD(gsl_rng_ranlxs0);
  ADD(gsl_rng_ranlxs1);
  ADD(gsl_rng_ranlxs2);
  ADD(gsl_rng_ranmar);
  ADD(gsl_rng_slatec);
  ADD(gsl_rng_taus);
  ADD(gsl_rng_taus2);
  ADD(gsl_rng_taus113);
  ADD(gsl_rng_transputer);
  ADD(gsl_rng_tt800);
  ADD(gsl_rng_uni);
  ADD(gsl_rng_uni32);
  ADD(gsl_rng_vax);
  ADD(gsl_rng_waterman14);
  ADD(gsl_rng_zuf);*/
  ADD(0);
 
  return gsl_rng_generator_types;
}
 
/* err/stream.c
 * 
 * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman, Brian Gough
 * 
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or (at
 * your option) any later version.
 * 
 * This program 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
 * General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 */
 
FILE * gsl_stream = NULL ;
gsl_stream_handler_t * gsl_stream_handler = NULL;
 
void
gsl_stream_printf (const char *label, const char *file, int line, 
                   const char *reason)
{
  if (gsl_stream == NULL)
    {
      gsl_stream = stderr;
    }
  if (gsl_stream_handler)
    {
      (*gsl_stream_handler) (label, file, line, reason);
      return;
    }
  fprintf (gsl_stream, "gsl: %s:%d: %s: %s\n", file, line, label, reason);
 
}
 
gsl_stream_handler_t *
gsl_set_stream_handler (gsl_stream_handler_t * new_handler)
{
  gsl_stream_handler_t * previous_handler = gsl_stream_handler;
  gsl_stream_handler = new_handler;
  return previous_handler;
}
 
FILE *
gsl_set_stream (FILE * new_stream)
{
  FILE * previous_stream;
  if (gsl_stream == NULL) {
    gsl_stream = stderr;
  }
  previous_stream = gsl_stream;
  gsl_stream = new_stream;
  return previous_stream;
}
 
 
/* err/error.c
 * 
 * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman, Brian Gough
 * 
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or (at
 * your option) any later version.
 * 
 * This program 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
 * General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 */
 
gsl_error_handler_t * gsl_error_handler = NULL;
 
static void no_error_handler (const char *reason, const char *file, int line, int gsl_errno);
 
void
gsl_error (const char * reason, const char * file, int line, int gsl_errno)
{
  if (gsl_error_handler) 
    {
      (*gsl_error_handler) (reason, file, line, gsl_errno);
      return ;
    }
 
  gsl_stream_printf ("ERROR", file, line, reason);
 
  fprintf (stderr, "Default GSL error handler invoked.\n");
  abort ();
}
 
gsl_error_handler_t *
gsl_set_error_handler (gsl_error_handler_t * new_handler)
{
  gsl_error_handler_t * previous_handler = gsl_error_handler;
  gsl_error_handler = new_handler;
  return previous_handler;
}
 
 
gsl_error_handler_t *
gsl_set_error_handler_off (void)
{
  gsl_error_handler_t * previous_handler = gsl_error_handler;
  gsl_error_handler = no_error_handler;
  return previous_handler;
}
 
static void
no_error_handler (const char *reason _U_, const char *file _U_, int line _U_, int gsl_errno _U_)
{
  /* do nothing */
  return;
}
 
 
/* rng/rng.c
 * 
 * Copyright (C) 1996, 1997, 1998, 1999, 2000 James Theiler, Brian Gough
 * 
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or (at
 * your option) any later version.
 * 
 * This program 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
 * General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 */
 
gsl_rng *
gsl_rng_alloc (const gsl_rng_type * T)
{
 
  gsl_rng *r = (gsl_rng *) malloc (sizeof (gsl_rng));
 
  if (r == 0)
    {
      GSL_ERROR_VAL ("failed to allocate space for rng struct",
                        GSL_ENOMEM, 0);
    };
 
  r->state = malloc (T->size);
 
  if (r->state == 0)
    {
      free (r);         /* exception in constructor, avoid memory leak */
 
      GSL_ERROR_VAL ("failed to allocate space for rng state",
                        GSL_ENOMEM, 0);
    };
 
  r->type = T;
 
  gsl_rng_set (r, gsl_rng_default_seed);        /* seed the generator */
 
  return r;
}
 
int
gsl_rng_memcpy (gsl_rng * dest, const gsl_rng * src)
{
  if (dest->type != src->type)
    {
      GSL_ERROR ("generators must be of the same type", GSL_EINVAL);
    }
 
  memcpy (dest->state, src->state, src->type->size);
 
  return GSL_SUCCESS;
}
 
gsl_rng *
gsl_rng_clone (const gsl_rng * q)
{
  gsl_rng *r = (gsl_rng *) malloc (sizeof (gsl_rng));
 
  if (r == 0)
    {
      GSL_ERROR_VAL ("failed to allocate space for rng struct",
                        GSL_ENOMEM, 0);
    };
 
  r->state = malloc (q->type->size);
 
  if (r->state == 0)
    {
      free (r);         /* exception in constructor, avoid memory leak */
 
      GSL_ERROR_VAL ("failed to allocate space for rng state",
                        GSL_ENOMEM, 0);
    };
 
  r->type = q->type;
 
  memcpy (r->state, q->state, q->type->size);
 
  return r;
}
 
void
gsl_rng_set (const gsl_rng * r, unsigned long int seed)
{
  (r->type->set) (r->state, seed);
}
 
#ifndef HIDE_INLINE_STATIC
unsigned long int
gsl_rng_get (const gsl_rng * r)
{
  return (r->type->get) (r->state);
}
 
double
gsl_rng_uniform (const gsl_rng * r)
{
  return (r->type->get_double) (r->state);
}
 
double
gsl_rng_uniform_pos (const gsl_rng * r)
{
  double x ;
  do
    {
      x = (r->type->get_double) (r->state) ;
    }
  while (x == 0) ;
 
  return x ;
}
 
unsigned long int
gsl_rng_uniform_int (const gsl_rng * r, unsigned long int n)
{
  unsigned long int offset = r->type->min;
  unsigned long int range = r->type->max - offset;
  unsigned long int scale = range / n;
  unsigned long int k;
 
  if (n > range) 
    {
      GSL_ERROR_VAL ("n exceeds maximum value of generator",
                        GSL_EINVAL, 0) ;
    }
 
  do
    {
      k = (((r->type->get) (r->state)) - offset) / scale;
    }
  while (k >= n);
 
  return k;
}
#endif
 
unsigned long int
gsl_rng_max (const gsl_rng * r)
{
  return r->type->max;
}
 
unsigned long int
gsl_rng_min (const gsl_rng * r)
{
  return r->type->min;
}
 
const char *
gsl_rng_name (const gsl_rng * r)
{
  return r->type->name;
}
 
size_t
gsl_rng_size (const gsl_rng * r)
{
  return r->type->size;
}
 
void *
gsl_rng_state (const gsl_rng * r)
{
  return r->state;
}
 
void
gsl_rng_print_state (const gsl_rng * r)
{
  size_t i;
  unsigned char *p = (unsigned char *) (r->state);
  const size_t n = r->type->size;
 
  for (i = 0; i < n; i++)
    {
      /* FIXME: we're assuming that a char is 8 bits */
      printf ("%.2x", *(p + i));
    }
 
}
 
void
gsl_rng_free (gsl_rng * r)
{
  free (r->state);
  free (r);
}