/* mpfr_random2 -- Generate a positive random mpfr_t of specified size, with long runs of consecutive ones and zeros in the binary representation. Copyright 1999, 2001-2004, 2006-2019 Free Software Foundation, Inc. Contributed by the AriC and Caramba projects, INRIA. This file is part of the GNU MPFR Library. The GNU 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 3 of the License, or (at your option) any later version. The GNU 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include "mpfr-test.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 /* exp is the maximum exponent in absolute value */ void mpfr_random2 (mpfr_ptr x, mp_size_t size, mpfr_exp_t exp, gmp_randstate_t rstate) { mp_size_t xn, k, ri; unsigned long sh; mp_limb_t *xp; mp_limb_t elimb, ran, acc; int ran_nbits, bit_pos, nb; 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 */ mpfr_rand_raw (&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) { mpfr_rand_raw (&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 = (~MPFR_LIMB_ONE) << bit_pos; } 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. */ mpfr_rand_raw (&elimb, RANDS, GMP_NUMB_BITS); MPFR_ASSERTN (exp >= 0 && exp <= MPFR_EMAX_MAX); exp = (mpfr_exp_t) (elimb % (2 * exp + 1)) - exp; MPFR_SET_EXP (x, exp); return ; }