/* Copyright (C) 1993-2016 Free Software Foundation, Inc. This file is part of the GNU C Library. The GNU C 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 GNU C 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 C Library; if not, see . */ #include "gmp.h" #include "gmp-impl.h" #include "longlong.h" #include #include #include /* Convert a `double' in IEEE754 standard double-precision format to a multi-precision integer representing the significand scaled up by its number of bits (52 for double) and an integral power of two (MPN frexp). */ mp_size_t __mpn_extract_double (mp_ptr res_ptr, mp_size_t size, int *expt, int *is_neg, double value) { union ieee754_double u; u.d = value; *is_neg = u.ieee.negative; *expt = (int) u.ieee.exponent - IEEE754_DOUBLE_BIAS; #if BITS_PER_MP_LIMB == 32 res_ptr[0] = u.ieee.mantissa1; /* Low-order 32 bits of fraction. */ res_ptr[1] = u.ieee.mantissa0; /* High-order 20 bits. */ # define N 2 #elif BITS_PER_MP_LIMB == 64 /* Hopefully the compiler will combine the two bitfield extracts and this composition into just the original quadword extract. */ res_ptr[0] = ((mp_limb_t) u.ieee.mantissa0 << 32) | u.ieee.mantissa1; # define N 1 #else # error "mp_limb size " BITS_PER_MP_LIMB "not accounted for" #endif /* The format does not fill the last limb. There are some zeros. */ #define NUM_LEADING_ZEROS (BITS_PER_MP_LIMB \ - (DBL_MANT_DIG - ((N - 1) * BITS_PER_MP_LIMB))) if (u.ieee.exponent == 0) { /* A biased exponent of zero is a special case. Either it is a zero or it is a denormal number. */ if (res_ptr[0] == 0 && res_ptr[N - 1] == 0) /* Assumes N<=2. */ /* It's zero. */ *expt = 0; else { /* It is a denormal number, meaning it has no implicit leading one bit, and its exponent is in fact the format minimum. */ int cnt; if (res_ptr[N - 1] != 0) { count_leading_zeros (cnt, res_ptr[N - 1]); cnt -= NUM_LEADING_ZEROS; #if N == 2 res_ptr[N - 1] = res_ptr[1] << cnt | (N - 1) * (res_ptr[0] >> (BITS_PER_MP_LIMB - cnt)); res_ptr[0] <<= cnt; #else res_ptr[N - 1] <<= cnt; #endif *expt = DBL_MIN_EXP - 1 - cnt; } else { count_leading_zeros (cnt, res_ptr[0]); if (cnt >= NUM_LEADING_ZEROS) { res_ptr[N - 1] = res_ptr[0] << (cnt - NUM_LEADING_ZEROS); res_ptr[0] = 0; } else { res_ptr[N - 1] = res_ptr[0] >> (NUM_LEADING_ZEROS - cnt); res_ptr[0] <<= BITS_PER_MP_LIMB - (NUM_LEADING_ZEROS - cnt); } *expt = DBL_MIN_EXP - 1 - (BITS_PER_MP_LIMB - NUM_LEADING_ZEROS) - cnt; } } } else /* Add the implicit leading one bit for a normalized number. */ res_ptr[N - 1] |= (mp_limb_t) 1 << (DBL_MANT_DIG - 1 - ((N - 1) * BITS_PER_MP_LIMB)); return N; }