nuttx/libs/libc/stdlib/lib_srand.c

/****************************************************************************
 * libs/libc/stdlib/lib_srand.c
 *
 *   Copyright (C) 2007, 2011, 2016 Gregory Nutt. All rights reserved.
 *   Author: Gregory Nutt <gnutt@nuttx.org>
 *
 * 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. Neither the name NuttX 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 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.
 *
 ****************************************************************************/

/****************************************************************************
 * Included Files
 ****************************************************************************/

#include <nuttx/config.h>

#include <math.h>
#include <stdlib.h>

#include <nuttx/lib/lib.h>

/****************************************************************************
 * Pre-processor Definitions
 ****************************************************************************/

/* First, second, and thired order congruential generators are supported */

#ifndef CONFIG_LIB_RAND_ORDER
#  define CONFIG_LIB_RAND_ORDER 1
#endif

#if CONFIG_LIB_RAND_ORDER > 3
#  undef CONFIG_LIB_RAND_ORDER
#  define CONFIG_LIB_RAND_ORDER 3
#endif

/* Values needed by the random number generator */

#define RND1_CONSTK  470001
#define RND1_CONSTP  999563
#define RND2_CONSTK1 366528
#define RND2_CONSTK2 508531
#define RND2_CONSTP  998917
#define RND3_CONSTK1 360137
#define RND3_CONSTK2 519815
#define RND3_CONSTK3 616087
#define RND3_CONSTP  997783

/****************************************************************************
 * Private Function Prototypes
 ****************************************************************************/

/* First order congruential generators */

static inline unsigned long fgenerate1(void);
#if (CONFIG_LIB_RAND_ORDER == 1)
static double_t frand1(void);
#endif

/* Second order congruential generators */

#if (CONFIG_LIB_RAND_ORDER > 1)
static inline unsigned long fgenerate2(void);
#if (CONFIG_LIB_RAND_ORDER == 2)
static double_t frand2(void);
#endif

/* Third order congruential generators */

#if (CONFIG_LIB_RAND_ORDER > 2)
static inline unsigned long fgenerate3(void);
static double_t frand3(void);
#endif
#endif

/****************************************************************************
 * Private Data
 ****************************************************************************/

static unsigned long g_randint1;
#if (CONFIG_LIB_RAND_ORDER > 1)
static unsigned long g_randint2;
#if (CONFIG_LIB_RAND_ORDER > 2)
static unsigned long g_randint3;
#endif
#endif

/****************************************************************************
 * Private Functions
 ****************************************************************************/

/* First order congruential generators */

static inline unsigned long fgenerate1(void)
{
  unsigned long randint;

  /* First order congruential generator.  One may be added to the result of
   * the generated value to avoid the value zero.  This would be fatal for
   * the first order random number generator.
   */

  randint    = (RND1_CONSTK * g_randint1) % RND1_CONSTP;
  g_randint1 = (randint == 0 ? 1 : randint);
  return randint;
}

#if (CONFIG_LIB_RAND_ORDER == 1)
static double_t frand1(void)
{
  /* First order congruential generator. */

  unsigned long randint = fgenerate1();

  /* Construct an floating point value in the range from 0.0 up to 1.0 */

  return ((double_t)randint) / ((double_t)RND1_CONSTP);
}
#endif

/* Second order congruential generators */

#if (CONFIG_LIB_RAND_ORDER > 1)
static inline unsigned long fgenerate2(void)
{
  unsigned long randint;

  /* Second order congruential generator. */

  randint    = (RND2_CONSTK1 * g_randint1 +
                RND2_CONSTK2 * g_randint2) % RND2_CONSTP;

  g_randint2 = g_randint1;
  g_randint1 = randint;

  /* We cannot permit both values to become zero.  That would be fatal for
   * the second order random number generator.
   */

  if (g_randint2 == 0 && g_randint1 == 0)
    {
      g_randint2 = 1;
    }

  return randint;
}

#if (CONFIG_LIB_RAND_ORDER == 2)
static double_t frand2(void)
{
  /* Second order congruential generator */

  unsigned long randint = fgenerate2();

  /* Construct an floating point value in the range from 0.0 up to 1.0 */

  return ((double_t)randint) / ((double_t)RND2_CONSTP);
}
#endif

/* Third order congruential generators */

#if (CONFIG_LIB_RAND_ORDER > 2)
static inline unsigned long fgenerate3(void)
{
  unsigned long randint;

  /* Third order congruential generator. */

  randint    = (RND3_CONSTK1 * g_randint1 +
                RND3_CONSTK2 * g_randint2 +
                RND3_CONSTK2 * g_randint3) % RND3_CONSTP;

  g_randint3 = g_randint2;
  g_randint2 = g_randint1;
  g_randint1 = randint;

  /* We cannot permit all three values to become zero.  That would be fatal
   * for the third order random number generator.
   */

  if (g_randint3 == 0 && g_randint2 == 0 && g_randint1 == 0)
    {
      g_randint3 = 1;
    }

  return randint;
}

static double_t frand3(void)
{
  /* Third order congruential generator */

  unsigned long randint = fgenerate3();

  /* Construct an floating point value in the range from 0.0 up to 1.0 */

  return ((double_t)randint) / ((double_t)RND3_CONSTP);
}
#endif
#endif

/****************************************************************************
 * Public Functions
 ****************************************************************************/

/****************************************************************************
 * Name: srand
 *
 * Description:
 *   Seed the congruential random number generator.
 *
 ****************************************************************************/

void srand(unsigned int seed)
{
  g_randint1 = seed;
#if (CONFIG_LIB_RAND_ORDER > 1)
  g_randint2 = seed;
  fgenerate1();
#if (CONFIG_LIB_RAND_ORDER > 2)
  g_randint3 = seed;
  fgenerate2();
#endif
#endif
}

/****************************************************************************
 * Name: nrand
 *
 * Description:
 *   Return a random, unsigned long value in the range of 0 to (limit - 1)
 *
 ****************************************************************************/

unsigned long nrand(unsigned long limit)
{
  unsigned long result;
  double_t ratio;

  /* Loop to be sure a legal random number is generated */

  do
    {
      /* Get a random integer in the range 0.0 - 1.0 */

#if (CONFIG_LIB_RAND_ORDER == 1)
      ratio = frand1();
#elif (CONFIG_LIB_RAND_ORDER == 2)
      ratio = frand2();
#else /* if (CONFIG_LIB_RAND_ORDER > 2) */
      ratio = frand3();
#endif

      /* Then, produce the return-able value in the requested range */

      result = (unsigned long)(((double_t)limit) * ratio);

      /* Loop because there is an (unlikely) possibility that rounding
       * could increase the result at the limit value about the limit.
       */
    }
  while (result >= limit);

  return result;
}