ranlxd.c

该文件为c++的数学函数库!是一个非常有用的编程工具.它含有各种数学函数,为科学计算、工程应用等程序编写提供方便！

/* rng/ranlxd.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.
 */

#include <config.h>
#include <stdlib.h>
#include <gsl/gsl_rng.h>

/* This is an implementation of Martin Luescher's second generation
   double-precision (48-bit) version of the RANLUX generator. 

   Thanks to Martin Luescher for providing information on this
   generator.

*/

static inline unsigned long int ranlxd_get (void *vstate);
static double ranlxd_get_double (void *vstate);
static void ranlxd_set_lux (void *state, unsigned long int s, unsigned int luxury);
static void ranlxd1_set (void *state, unsigned long int s);
static void ranlxd2_set (void *state, unsigned long int s);

static const int next[12] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0};

static const double one_bit = 1.0 / 281474976710656.0;  /* 1/2^48 */

#define RANLUX_STEP(x1,x2,i1,i2,i3)      \
          x1=xdbl[i1] - xdbl[i2];        \
          if (x2 < 0)                    \
          {                              \
            x1-=one_bit;                 \
            x2+=1;                       \
          }                              \
         xdbl[i3]=x2

typedef struct
  {
    double xdbl[12]; 
    double carry;
    unsigned int ir;
    unsigned int jr;
    unsigned int ir_old;
    unsigned int pr;
  }
ranlxd_state_t;

static inline void increment_state (ranlxd_state_t * state);

static inline void
increment_state (ranlxd_state_t * state)
{
  int k, kmax;
  double y1, y2, y3;

  double *xdbl = state->xdbl;
  double carry = state->carry;
  unsigned int ir = state->ir;
  unsigned int jr = state->jr;

  for (k = 0; ir > 0; ++k)
    {
      y1 = xdbl[jr] - xdbl[ir];
      y2 = y1 - carry;
      if (y2 < 0)
        {
          carry = one_bit;
          y2 += 1;
        }
      else
        {
          carry = 0;
        }
      xdbl[ir] = y2;
      ir = next[ir];
      jr = next[jr];
    }

  kmax = state->pr - 12;

  for (; k <= kmax; k += 12)
    {
      y1 = xdbl[7] - xdbl[0];
      y1 -= carry;

      RANLUX_STEP (y2, y1, 8, 1, 0);
      RANLUX_STEP (y3, y2, 9, 2, 1);
      RANLUX_STEP (y1, y3, 10, 3, 2);
      RANLUX_STEP (y2, y1, 11, 4, 3);
      RANLUX_STEP (y3, y2, 0, 5, 4);
      RANLUX_STEP (y1, y3, 1, 6, 5);
      RANLUX_STEP (y2, y1, 2, 7, 6);
      RANLUX_STEP (y3, y2, 3, 8, 7);
      RANLUX_STEP (y1, y3, 4, 9, 8);
      RANLUX_STEP (y2, y1, 5, 10, 9);
      RANLUX_STEP (y3, y2, 6, 11, 10);

      if (y3 < 0)
        {
          carry = one_bit;
          y3 += 1;
        }
      else
        {
          carry = 0;
        }
      xdbl[11] = y3;
    }

  kmax = state->pr;

  for (; k < kmax; ++k)
    {
      y1 = xdbl[jr] - xdbl[ir];
      y2 = y1 - carry;
      if (y2 < 0)
        {
          carry = one_bit;
          y2 += 1;
        }
      else
        {
          carry = 0;
        }
      xdbl[ir] = y2;
      ir = next[ir];
      jr = next[jr];
    }
  state->ir = ir;
  state->ir_old = ir;
  state->jr = jr;
  state->carry = carry;
}

static inline unsigned long int
ranlxd_get (void *vstate)
{
  return ranlxd_get_double (vstate) * 4294967296.0;     /* 2^32 */
}

static double
ranlxd_get_double (void *vstate)
{
  ranlxd_state_t *state = (ranlxd_state_t *) vstate;

  int ir = state->ir;

  state->ir = next[ir];

  if (state->ir == state->ir_old)
    increment_state (state);

  return state->xdbl[state->ir];
}

static void
ranlxd_set_lux (void *vstate, unsigned long int s, unsigned int luxury)
{
  ranlxd_state_t *state = (ranlxd_state_t *) vstate;

  int ibit, jbit, i, k, l, xbit[31];
  double x, y;

  long int seed;

  if (s == 0)
    s = 1;                      /* default seed is 1 */

  seed = s;

  i = seed & 0xFFFFFFFFUL;

  for (k = 0; k < 31; ++k)
    {
      xbit[k] = i % 2;
      i /= 2;
    }

  ibit = 0;
  jbit = 18;

  for (k = 0; k < 12; ++k)
    {
      x = 0;

      for (l = 1; l <= 48; ++l)
        {
          y = (double) ((xbit[ibit] + 1) % 2);
          x += x + y;
          xbit[ibit] = (xbit[ibit] + xbit[jbit]) % 2;
          ibit = (ibit + 1) % 31;
          jbit = (jbit + 1) % 31;
        }
      state->xdbl[k] = one_bit * x;
    }

  state->carry = 0;
  state->ir = 11;
  state->jr = 7;
  state->ir_old = 0;
  state->pr = luxury;
}

static void
ranlxd1_set (void *vstate, unsigned long int s)
{
  ranlxd_set_lux (vstate, s, 202);
}

static void
ranlxd2_set (void *vstate, unsigned long int s)
{
  ranlxd_set_lux (vstate, s, 397);
}

static const gsl_rng_type ranlxd1_type =
{"ranlxd1",                     /* name */
 0xffffffffUL,                  /* RAND_MAX */
 0,                             /* RAND_MIN */
 sizeof (ranlxd_state_t),
 &ranlxd1_set,
 &ranlxd_get,
 &ranlxd_get_double};

static const gsl_rng_type ranlxd2_type =
{"ranlxd2",                     /* name */
 0xffffffffUL,                  /* RAND_MAX */
 0,                             /* RAND_MIN */
 sizeof (ranlxd_state_t),
 &ranlxd2_set,
 &ranlxd_get,
 &ranlxd_get_double};

const gsl_rng_type *gsl_rng_ranlxd1 = &ranlxd1_type;
const gsl_rng_type *gsl_rng_ranlxd2 = &ranlxd2_type;