/* GCC Quad-Precision Math Library Copyright (C) 2010, 2011 Free Software Foundation, Inc. Written by Francois-Xavier Coudert This file is part of the libquadmath library. Libquadmath is free software; you can redistribute it and/or modify it under the terms of the GNU Library General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. Libquadmath 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 Library General Public License for more details. You should have received a copy of the GNU Library General Public License along with libquadmath; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */ #ifndef QUADMATH_IMP_H #define QUADMATH_IMP_H #include #include #include "quadmath.h" #include "config.h" /* Under IEEE 754, an architecture may determine tininess of floating-point results either "before rounding" or "after rounding", but must do so in the same way for all operations returning binary results. Define TININESS_AFTER_ROUNDING to 1 for "after rounding" architectures, 0 for "before rounding" architectures. */ #define TININESS_AFTER_ROUNDING 1 /* Prototypes for internal functions. */ extern int32_t __quadmath_rem_pio2q (__float128, __float128 *); extern void __quadmath_kernel_sincosq (__float128, __float128, __float128 *, __float128 *, int); extern __float128 __quadmath_kernel_sinq (__float128, __float128, int); extern __float128 __quadmath_kernel_cosq (__float128, __float128); extern __float128 __quadmath_x2y2m1q (__float128 x, __float128 y); extern int __quadmath_isinf_nsq (__float128 x); /* Frankly, if you have __float128, you have 64-bit integers, right? */ #ifndef UINT64_C # error "No way!" #endif /* Main union type we use to manipulate the floating-point type. */ typedef union { __float128 value; struct #ifdef __MINGW32__ /* On mingw targets the ms-bitfields option is active by default. Therefore enforce gnu-bitfield style. */ __attribute__ ((gcc_struct)) #endif { #if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ unsigned negative:1; unsigned exponent:15; uint64_t mant_high:48; uint64_t mant_low:64; #else uint64_t mant_low:64; uint64_t mant_high:48; unsigned exponent:15; unsigned negative:1; #endif } ieee; struct { #if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ uint64_t high; uint64_t low; #else uint64_t low; uint64_t high; #endif } words64; struct { #if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ uint32_t w0; uint32_t w1; uint32_t w2; uint32_t w3; #else uint32_t w3; uint32_t w2; uint32_t w1; uint32_t w0; #endif } words32; struct #ifdef __MINGW32__ /* Make sure we are using gnu-style bitfield handling. */ __attribute__ ((gcc_struct)) #endif { #if __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ unsigned negative:1; unsigned exponent:15; unsigned quiet_nan:1; uint64_t mant_high:47; uint64_t mant_low:64; #else uint64_t mant_low:64; uint64_t mant_high:47; unsigned quiet_nan:1; unsigned exponent:15; unsigned negative:1; #endif } nan; } ieee854_float128; /* Get two 64 bit ints from a long double. */ #define GET_FLT128_WORDS64(ix0,ix1,d) \ do { \ ieee854_float128 u; \ u.value = (d); \ (ix0) = u.words64.high; \ (ix1) = u.words64.low; \ } while (0) /* Set a long double from two 64 bit ints. */ #define SET_FLT128_WORDS64(d,ix0,ix1) \ do { \ ieee854_float128 u; \ u.words64.high = (ix0); \ u.words64.low = (ix1); \ (d) = u.value; \ } while (0) /* Get the more significant 64 bits of a long double mantissa. */ #define GET_FLT128_MSW64(v,d) \ do { \ ieee854_float128 u; \ u.value = (d); \ (v) = u.words64.high; \ } while (0) /* Set the more significant 64 bits of a long double mantissa from an int. */ #define SET_FLT128_MSW64(d,v) \ do { \ ieee854_float128 u; \ u.value = (d); \ u.words64.high = (v); \ (d) = u.value; \ } while (0) /* Get the least significant 64 bits of a long double mantissa. */ #define GET_FLT128_LSW64(v,d) \ do { \ ieee854_float128 u; \ u.value = (d); \ (v) = u.words64.low; \ } while (0) #define IEEE854_FLOAT128_BIAS 0x3fff #define QUADFP_NAN 0 #define QUADFP_INFINITE 1 #define QUADFP_ZERO 2 #define QUADFP_SUBNORMAL 3 #define QUADFP_NORMAL 4 #define fpclassifyq(x) \ __builtin_fpclassify (QUADFP_NAN, QUADFP_INFINITE, QUADFP_NORMAL, \ QUADFP_SUBNORMAL, QUADFP_ZERO, x) #endif