source/libs/mpfr/mpfr-3.1.3/src/urandomb.c

   1 /* mpfr_urandomb (rop, state, nbits) -- Generate a uniform pseudorandom
   2    real number between 0 (inclusive) and 1 (exclusive) of size NBITS,
   3    using STATE as the random state previously initialized by a call to
   4    gmp_randinit_lc_2exp_size().
   5
   6 Copyright 2000-2004, 2006-2015 Free Software Foundation, Inc.
   7 Contributed by the AriC and Caramel projects, INRIA.
   8
   9 This file is part of the GNU MPFR Library.
  10
  11 The GNU MPFR Library is free software; you can redistribute it and/or modify
  12 it under the terms of the GNU Lesser General Public License as published by
  13 the Free Software Foundation; either version 3 of the License, or (at your
  14 option) any later version.
  15
  16 The GNU MPFR Library is distributed in the hope that it will be useful, but
  17 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
  18 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
  19 License for more details.
  20
  21 You should have received a copy of the GNU Lesser General Public License
  22 along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
  23 http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
  24 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
  25
  26
  27 #define MPFR_NEED_LONGLONG_H
  28 #include "mpfr-impl.h"
  29
  30 /* generate nbits random bits into mp[], assuming mp was allocated to contain
  31    a sufficient number of limbs */
  32 void
  33 mpfr_rand_raw (mpfr_limb_ptr mp, gmp_randstate_t rstate,
  34                mpfr_prec_t nbits)
  35 {
  36   mpz_t z;
  37
  38   MPFR_ASSERTN (nbits >= 1);
  39   /* To be sure to avoid the potential allocation of mpz_urandomb */
  40   ALLOC(z) = SIZ(z) = MPFR_PREC2LIMBS (nbits);
  41   PTR(z)   = mp;
  42 #if __MPFR_GMP(5,0,0)
  43   /* Check for integer overflow (unless mp_bitcnt_t is signed,
  44      but according to the GMP manual, this shouldn't happen).
  45      Note: mp_bitcnt_t has been introduced in GMP 5.0.0. */
  46   MPFR_ASSERTN ((mp_bitcnt_t) -1 < 0 || nbits <= (mp_bitcnt_t) -1);
  47 #endif
  48   mpz_urandomb (z, rstate, nbits);
  49 }
  50
  51 int
  52 mpfr_urandomb (mpfr_ptr rop, gmp_randstate_t rstate)
  53 {
  54   mpfr_limb_ptr rp;
  55   mpfr_prec_t nbits;
  56   mp_size_t nlimbs;
  57   mp_size_t k; /* number of high zero limbs */
  58   mpfr_exp_t exp;
  59   int cnt;
  60
  61   rp = MPFR_MANT (rop);
  62   nbits = MPFR_PREC (rop);
  63   nlimbs = MPFR_LIMB_SIZE (rop);
  64   MPFR_SET_POS (rop);
  65   cnt = nlimbs * GMP_NUMB_BITS - nbits;
  66
  67   /* Uniform non-normalized significand */
  68   /* generate exactly nbits so that the random generator stays in the same
  69      state, independent of the machine word size GMP_NUMB_BITS */
  70   mpfr_rand_raw (rp, rstate, nbits);
  71   if (MPFR_LIKELY (cnt != 0)) /* this will put the low bits to zero */
  72     mpn_lshift (rp, rp, nlimbs, cnt);
  73
  74   /* Count the null significant limbs and remaining limbs */
  75   exp = 0;
  76   k = 0;
  77   while (nlimbs != 0 && rp[nlimbs - 1] == 0)
  78     {
  79       k ++;
  80       nlimbs --;
  81       exp -= GMP_NUMB_BITS;
  82     }
  83
  84   if (MPFR_LIKELY (nlimbs != 0)) /* otherwise value is zero */
  85     {
  86       count_leading_zeros (cnt, rp[nlimbs - 1]);
  87       /* Normalization */
  88       if (mpfr_set_exp (rop, exp - cnt))
  89         {
  90           /* If the exponent is not in the current exponent range, we
  91              choose to return a NaN as this is probably a user error.
  92              Indeed this can happen only if the exponent range has been
  93              reduced to a very small interval and/or the precision is
  94              huge (very unlikely). */
  95           MPFR_SET_NAN (rop);
  96           __gmpfr_flags |= MPFR_FLAGS_NAN; /* Can't use MPFR_RET_NAN */
  97           return 1;
  98         }
  99       if (cnt != 0)
 100         mpn_lshift (rp + k, rp, nlimbs, cnt);
 101       else if (k != 0)
 102         MPN_COPY (rp + k, rp, nlimbs);
 103       if (k != 0)
 104         MPN_ZERO (rp, k);
 105     }
 106   else
 107     MPFR_SET_ZERO (rop);
 108
 109   return 0;
 110 }