buildtools/gcc/mpfr/random2.c

/* mpfr_random2 -- Generate a positive random mpfr_t of specified size, with
   long runs of consecutive ones and zeros in the binary representation.
   Intended for testing.

Copyright 1999, 2001, 2002, 2003, 2004, 2006, 2007 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.

This file is part of the MPFR Library.

The MPFR 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 MPFR 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 MPFR Library; see the file COPYING.LIB.  If not, write to
the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
MA 02110-1301, USA. */

#define MPFR_NEED_LONGLONG_H
#include "mpfr-impl.h"

#define LOGBITS_PER_BLOCK 4
#if GMP_NUMB_BITS < 32
#define BITS_PER_RANDCALL GMP_NUMB_BITS
#else
#define BITS_PER_RANDCALL 32
#endif

static void
mpfr_random2_raw (mpfr_ptr x, mp_size_t size, mp_exp_t exp,
                  gmp_randstate_t rstate)
{
  mp_size_t xn, k, ri;
  unsigned long sh;
  mp_ptr xp;
  mp_limb_t elimb, ran, acc;
  int ran_nbits, bit_pos, nb;

  MPFR_CLEAR_FLAGS (x);

  if (MPFR_UNLIKELY(size == 0))
    {
      MPFR_SET_ZERO (x);
      MPFR_SET_POS (x);
      return ;
    }
  else if (size > 0)
    {
      MPFR_SET_POS (x);
    }
  else
    {
      MPFR_SET_NEG (x);
      size = -size;
    }

  xn = MPFR_LIMB_SIZE (x);
  xp = MPFR_MANT (x);
  if (size > xn)
    size = xn;
  k = xn - size;

  /* Code extracted from GMP, function mpn_random2, to avoid the use
     of GMP's internal random state in MPFR */

  _gmp_rand (&elimb, rstate, BITS_PER_RANDCALL);
  ran = elimb;

  /* Start off at a random bit position in the most significant limb.  */
  bit_pos = GMP_NUMB_BITS - 1;
  ran >>= 6;                            /* Ideally   log2(GMP_NUMB_BITS) */
  ran_nbits = BITS_PER_RANDCALL - 6;    /* Ideally - log2(GMP_NUMB_BITS) */

  /* Bit 0 of ran chooses string of ones/string of zeroes.
     Make most significant limb be non-zero by setting bit 0 of RAN.  */
  ran |= 1;
  ri = xn - 1;

  acc = 0;
  while (ri >= k)
    {
      if (ran_nbits < LOGBITS_PER_BLOCK + 1)
        {
          _gmp_rand (&elimb, rstate, BITS_PER_RANDCALL);
          ran = elimb;
          ran_nbits = BITS_PER_RANDCALL;
        }

      nb = (ran >> 1) % (1 << LOGBITS_PER_BLOCK) + 1;
      if ((ran & 1) != 0)
        {
          /* Generate a string of nb ones.  */
          if (nb > bit_pos)
            {
              xp[ri--] = acc | (((mp_limb_t) 2 << bit_pos) - 1);
              bit_pos += GMP_NUMB_BITS;
              bit_pos -= nb;
              acc = ((~(mp_limb_t) 1) << bit_pos) & GMP_NUMB_MASK;
            }
          else
            {
              bit_pos -= nb;
              acc |= (((mp_limb_t) 2 << nb) - 2) << bit_pos;
            }
        }
      else
        {
          /* Generate a string of nb zeroes.  */
          if (nb > bit_pos)
            {
              xp[ri--] = acc;
              acc = 0;
              bit_pos += GMP_NUMB_BITS;
            }
          bit_pos -= nb;
        }
      ran_nbits -= LOGBITS_PER_BLOCK + 1;
      ran >>= LOGBITS_PER_BLOCK + 1;
    }

  /* Set mandatory most significant bit.  */
  /* xp[xn - 1] |= MPFR_LIMB_HIGHBIT; */

  if (k != 0)
    {
      /* Clear last limbs */
      MPN_ZERO (xp, k);
    }
  else
    {
      /* Mask off non significant bits in the low limb.  */
      MPFR_UNSIGNED_MINUS_MODULO (sh, MPFR_PREC (x));
      xp[0] &= ~MPFR_LIMB_MASK (sh);
    }

  /* Generate random exponent.  */
  _gmp_rand (&elimb, RANDS, BITS_PER_MP_LIMB);
  exp = ABS (exp);
  MPFR_SET_EXP (x, elimb % (2 * exp + 1) - exp);

  return ;
}

void
mpfr_random2 (mpfr_ptr x, mp_size_t size, mp_exp_t exp)
{
  mpfr_random2_raw (x, size, exp, RANDS);
}