320 lines
9.4 KiB
C
320 lines
9.4 KiB
C
|
/* Software floating-point emulation.
|
||
|
|
Definitions for IEEE Double Precision
|
||
|
|
Copyright (C) 1997-2022 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.
|
||
|
|
|
||
|
|
In addition to the permissions in the GNU Lesser General Public
|
||
|
|
License, the Free Software Foundation gives you unlimited
|
||
|
|
permission to link the compiled version of this file into
|
||
|
|
combinations with other programs, and to distribute those
|
||
|
|
combinations without any restriction coming from the use of this
|
||
|
|
file. (The Lesser General Public License restrictions do apply in
|
||
|
|
other respects; for example, they cover modification of the file,
|
||
|
|
and distribution when not linked into a combine executable.)
|
||
|
|
|
||
|
|
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
|
||
|
|
<https://www.gnu.org/licenses/>. */
|
||
|
|
|
||
|
|
#ifndef SOFT_FP_DOUBLE_H
|
||
|
|
#define SOFT_FP_DOUBLE_H 1
|
||
|
|
|
||
|
|
#if _FP_W_TYPE_SIZE < 32
|
||
|
|
# error "Here's a nickel kid. Go buy yourself a real computer."
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#if _FP_W_TYPE_SIZE < 64
|
||
|
|
# define _FP_FRACTBITS_D (2 * _FP_W_TYPE_SIZE)
|
||
|
|
# define _FP_FRACTBITS_DW_D (4 * _FP_W_TYPE_SIZE)
|
||
|
|
#else
|
||
|
|
# define _FP_FRACTBITS_D _FP_W_TYPE_SIZE
|
||
|
|
# define _FP_FRACTBITS_DW_D (2 * _FP_W_TYPE_SIZE)
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#define _FP_FRACBITS_D 53
|
||
|
|
#define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D)
|
||
|
|
#define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D)
|
||
|
|
#define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D)
|
||
|
|
#define _FP_EXPBITS_D 11
|
||
|
|
#define _FP_EXPBIAS_D 1023
|
||
|
|
#define _FP_EXPMAX_D 2047
|
||
|
|
|
||
|
|
#define _FP_QNANBIT_D \
|
||
|
|
((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE)
|
||
|
|
#define _FP_QNANBIT_SH_D \
|
||
|
|
((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
|
||
|
|
#define _FP_IMPLBIT_D \
|
||
|
|
((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE)
|
||
|
|
#define _FP_IMPLBIT_SH_D \
|
||
|
|
((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
|
||
|
|
#define _FP_OVERFLOW_D \
|
||
|
|
((_FP_W_TYPE) 1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE)
|
||
|
|
|
||
|
|
#define _FP_WFRACBITS_DW_D (2 * _FP_WFRACBITS_D)
|
||
|
|
#define _FP_WFRACXBITS_DW_D (_FP_FRACTBITS_DW_D - _FP_WFRACBITS_DW_D)
|
||
|
|
#define _FP_HIGHBIT_DW_D \
|
||
|
|
((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_D - 1) % _FP_W_TYPE_SIZE)
|
||
|
|
|
||
|
|
typedef float DFtype __attribute__ ((mode (DF)));
|
||
|
|
|
||
|
|
#if _FP_W_TYPE_SIZE < 64
|
||
|
|
|
||
|
|
union _FP_UNION_D
|
||
|
|
{
|
||
|
|
DFtype flt;
|
||
|
|
struct _FP_STRUCT_LAYOUT
|
||
|
|
{
|
||
|
|
# if __BYTE_ORDER == __BIG_ENDIAN
|
||
|
|
unsigned sign : 1;
|
||
|
|
unsigned exp : _FP_EXPBITS_D;
|
||
|
|
unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE;
|
||
|
|
unsigned frac0 : _FP_W_TYPE_SIZE;
|
||
|
|
# else
|
||
|
|
unsigned frac0 : _FP_W_TYPE_SIZE;
|
||
|
|
unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE;
|
||
|
|
unsigned exp : _FP_EXPBITS_D;
|
||
|
|
unsigned sign : 1;
|
||
|
|
# endif
|
||
|
|
} bits;
|
||
|
|
};
|
||
|
|
|
||
|
|
# define FP_DECL_D(X) _FP_DECL (2, X)
|
||
|
|
# define FP_UNPACK_RAW_D(X, val) _FP_UNPACK_RAW_2 (D, X, (val))
|
||
|
|
# define FP_UNPACK_RAW_DP(X, val) _FP_UNPACK_RAW_2_P (D, X, (val))
|
||
|
|
# define FP_PACK_RAW_D(val, X) _FP_PACK_RAW_2 (D, (val), X)
|
||
|
|
# define FP_PACK_RAW_DP(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
if (!FP_INHIBIT_RESULTS) \
|
||
|
|
_FP_PACK_RAW_2_P (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_D(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_2 (D, X, (val)); \
|
||
|
|
_FP_UNPACK_CANONICAL (D, 2, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_DP(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_2_P (D, X, (val)); \
|
||
|
|
_FP_UNPACK_CANONICAL (D, 2, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_SEMIRAW_D(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_2 (D, X, (val)); \
|
||
|
|
_FP_UNPACK_SEMIRAW (D, 2, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_SEMIRAW_DP(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_2_P (D, X, (val)); \
|
||
|
|
_FP_UNPACK_SEMIRAW (D, 2, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_D(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_CANONICAL (D, 2, X); \
|
||
|
|
_FP_PACK_RAW_2 (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_DP(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_CANONICAL (D, 2, X); \
|
||
|
|
if (!FP_INHIBIT_RESULTS) \
|
||
|
|
_FP_PACK_RAW_2_P (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_SEMIRAW_D(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_SEMIRAW (D, 2, X); \
|
||
|
|
_FP_PACK_RAW_2 (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_SEMIRAW_DP(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_SEMIRAW (D, 2, X); \
|
||
|
|
if (!FP_INHIBIT_RESULTS) \
|
||
|
|
_FP_PACK_RAW_2_P (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_ISSIGNAN_D(X) _FP_ISSIGNAN (D, 2, X)
|
||
|
|
# define FP_NEG_D(R, X) _FP_NEG (D, 2, R, X)
|
||
|
|
# define FP_ADD_D(R, X, Y) _FP_ADD (D, 2, R, X, Y)
|
||
|
|
# define FP_SUB_D(R, X, Y) _FP_SUB (D, 2, R, X, Y)
|
||
|
|
# define FP_MUL_D(R, X, Y) _FP_MUL (D, 2, R, X, Y)
|
||
|
|
# define FP_DIV_D(R, X, Y) _FP_DIV (D, 2, R, X, Y)
|
||
|
|
# define FP_SQRT_D(R, X) _FP_SQRT (D, 2, R, X)
|
||
|
|
# define _FP_SQRT_MEAT_D(R, S, T, X, Q) _FP_SQRT_MEAT_2 (R, S, T, X, (Q))
|
||
|
|
# define FP_FMA_D(R, X, Y, Z) _FP_FMA (D, 2, 4, R, X, Y, Z)
|
||
|
|
|
||
|
|
# define FP_CMP_D(r, X, Y, un, ex) _FP_CMP (D, 2, (r), X, Y, (un), (ex))
|
||
|
|
# define FP_CMP_EQ_D(r, X, Y, ex) _FP_CMP_EQ (D, 2, (r), X, Y, (ex))
|
||
|
|
# define FP_CMP_UNORD_D(r, X, Y, ex) _FP_CMP_UNORD (D, 2, (r), X, Y, (ex))
|
||
|
|
|
||
|
|
# define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (D, 2, (r), X, (rsz), (rsg))
|
||
|
|
# define FP_TO_INT_ROUND_D(r, X, rsz, rsg) \
|
||
|
|
_FP_TO_INT_ROUND (D, 2, (r), X, (rsz), (rsg))
|
||
|
|
# define FP_FROM_INT_D(X, r, rs, rt) _FP_FROM_INT (D, 2, X, (r), (rs), rt)
|
||
|
|
|
||
|
|
# define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2 (X)
|
||
|
|
# define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2 (X)
|
||
|
|
|
||
|
|
# define _FP_FRAC_HIGH_DW_D(X) _FP_FRAC_HIGH_4 (X)
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
union _FP_UNION_D
|
||
|
|
{
|
||
|
|
DFtype flt;
|
||
|
|
struct _FP_STRUCT_LAYOUT
|
||
|
|
{
|
||
|
|
# if __BYTE_ORDER == __BIG_ENDIAN
|
||
|
|
unsigned sign : 1;
|
||
|
|
unsigned exp : _FP_EXPBITS_D;
|
||
|
|
_FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
|
||
|
|
# else
|
||
|
|
_FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
|
||
|
|
unsigned exp : _FP_EXPBITS_D;
|
||
|
|
unsigned sign : 1;
|
||
|
|
# endif
|
||
|
|
} bits;
|
||
|
|
};
|
||
|
|
|
||
|
|
# define FP_DECL_D(X) _FP_DECL (1, X)
|
||
|
|
# define FP_UNPACK_RAW_D(X, val) _FP_UNPACK_RAW_1 (D, X, (val))
|
||
|
|
# define FP_UNPACK_RAW_DP(X, val) _FP_UNPACK_RAW_1_P (D, X, (val))
|
||
|
|
# define FP_PACK_RAW_D(val, X) _FP_PACK_RAW_1 (D, (val), X)
|
||
|
|
# define FP_PACK_RAW_DP(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
if (!FP_INHIBIT_RESULTS) \
|
||
|
|
_FP_PACK_RAW_1_P (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_D(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_1 (D, X, (val)); \
|
||
|
|
_FP_UNPACK_CANONICAL (D, 1, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_DP(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_1_P (D, X, (val)); \
|
||
|
|
_FP_UNPACK_CANONICAL (D, 1, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_SEMIRAW_D(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_1 (D, X, (val)); \
|
||
|
|
_FP_UNPACK_SEMIRAW (D, 1, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_UNPACK_SEMIRAW_DP(X, val) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_UNPACK_RAW_1_P (D, X, (val)); \
|
||
|
|
_FP_UNPACK_SEMIRAW (D, 1, X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_D(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_CANONICAL (D, 1, X); \
|
||
|
|
_FP_PACK_RAW_1 (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_DP(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_CANONICAL (D, 1, X); \
|
||
|
|
if (!FP_INHIBIT_RESULTS) \
|
||
|
|
_FP_PACK_RAW_1_P (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_SEMIRAW_D(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_SEMIRAW (D, 1, X); \
|
||
|
|
_FP_PACK_RAW_1 (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_PACK_SEMIRAW_DP(val, X) \
|
||
|
|
do \
|
||
|
|
{ \
|
||
|
|
_FP_PACK_SEMIRAW (D, 1, X); \
|
||
|
|
if (!FP_INHIBIT_RESULTS) \
|
||
|
|
_FP_PACK_RAW_1_P (D, (val), X); \
|
||
|
|
} \
|
||
|
|
while (0)
|
||
|
|
|
||
|
|
# define FP_ISSIGNAN_D(X) _FP_ISSIGNAN (D, 1, X)
|
||
|
|
# define FP_NEG_D(R, X) _FP_NEG (D, 1, R, X)
|
||
|
|
# define FP_ADD_D(R, X, Y) _FP_ADD (D, 1, R, X, Y)
|
||
|
|
# define FP_SUB_D(R, X, Y) _FP_SUB (D, 1, R, X, Y)
|
||
|
|
# define FP_MUL_D(R, X, Y) _FP_MUL (D, 1, R, X, Y)
|
||
|
|
# define FP_DIV_D(R, X, Y) _FP_DIV (D, 1, R, X, Y)
|
||
|
|
# define FP_SQRT_D(R, X) _FP_SQRT (D, 1, R, X)
|
||
|
|
# define _FP_SQRT_MEAT_D(R, S, T, X, Q) _FP_SQRT_MEAT_1 (R, S, T, X, (Q))
|
||
|
|
# define FP_FMA_D(R, X, Y, Z) _FP_FMA (D, 1, 2, R, X, Y, Z)
|
||
|
|
|
||
|
|
/* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by
|
||
|
|
the target machine. */
|
||
|
|
|
||
|
|
# define FP_CMP_D(r, X, Y, un, ex) _FP_CMP (D, 1, (r), X, Y, (un), (ex))
|
||
|
|
# define FP_CMP_EQ_D(r, X, Y, ex) _FP_CMP_EQ (D, 1, (r), X, Y, (ex))
|
||
|
|
# define FP_CMP_UNORD_D(r, X, Y, ex) _FP_CMP_UNORD (D, 1, (r), X, Y, (ex))
|
||
|
|
|
||
|
|
# define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (D, 1, (r), X, (rsz), (rsg))
|
||
|
|
# define FP_TO_INT_ROUND_D(r, X, rsz, rsg) \
|
||
|
|
_FP_TO_INT_ROUND (D, 1, (r), X, (rsz), (rsg))
|
||
|
|
# define FP_FROM_INT_D(X, r, rs, rt) _FP_FROM_INT (D, 1, X, (r), (rs), rt)
|
||
|
|
|
||
|
|
# define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1 (X)
|
||
|
|
# define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1 (X)
|
||
|
|
|
||
|
|
# define _FP_FRAC_HIGH_DW_D(X) _FP_FRAC_HIGH_2 (X)
|
||
|
|
|
||
|
|
#endif /* W_TYPE_SIZE < 64 */
|
||
|
|
|
||
|
|
#endif /* !SOFT_FP_DOUBLE_H */
|