Commit 9954c743 by Joseph Myers Committed by Joseph Myers

float128-cmp-invalid.c, [...]: New tests.

gcc/testsuite:
	* gcc.dg/torture/float128-cmp-invalid.c,
	gcc.dg/torture/float128-div-underflow.c,
	gcc.dg/torture/float128-extend-nan.c,
	gcc.dg/torture/fp-int-convert-float128-timode-3.c: New tests.

libgcc:
	* soft-fp/README: Update.
	* soft-fp/adddf3.c: Update from glibc.
	* soft-fp/addsf3.c: Likewise.
	* soft-fp/addtf3.c: Likewise.
	* soft-fp/divdf3.c: Likewise.
	* soft-fp/divsf3.c: Likewise.
	* soft-fp/divtf3.c: Likewise.
	* soft-fp/double.h: Likewise.
	* soft-fp/eqdf2.c: Likewise.
	* soft-fp/eqsf2.c: Likewise.
	* soft-fp/eqtf2.c: Likewise.
	* soft-fp/extenddftf2.c: Likewise.
	* soft-fp/extended.h: Likewise.
	* soft-fp/extendsfdf2.c: Likewise.
	* soft-fp/extendsftf2.c: Likewise.
	* soft-fp/extendxftf2.c: Likewise.
	* soft-fp/fixdfdi.c: Likewise.
	* soft-fp/fixdfsi.c: Likewise.
	* soft-fp/fixdfti.c: Likewise.
	* soft-fp/fixsfdi.c: Likewise.
	* soft-fp/fixsfsi.c: Likewise.
	* soft-fp/fixsfti.c: Likewise.
	* soft-fp/fixtfdi.c: Likewise.
	* soft-fp/fixtfsi.c: Likewise.
	* soft-fp/fixtfti.c: Likewise.
	* soft-fp/fixunsdfdi.c: Likewise.
	* soft-fp/fixunsdfsi.c: Likewise.
	* soft-fp/fixunsdfti.c: Likewise.
	* soft-fp/fixunssfdi.c: Likewise.
	* soft-fp/fixunssfsi.c: Likewise.
	* soft-fp/fixunssfti.c: Likewise.
	* soft-fp/fixunstfdi.c: Likewise.
	* soft-fp/fixunstfsi.c: Likewise.
	* soft-fp/fixunstfti.c: Likewise.
	* soft-fp/floatdidf.c: Likewise.
	* soft-fp/floatdisf.c: Likewise.
	* soft-fp/floatditf.c: Likewise.
	* soft-fp/floatsidf.c: Likewise.
	* soft-fp/floatsisf.c: Likewise.
	* soft-fp/floatsitf.c: Likewise.
	* soft-fp/floattidf.c: Likewise.
	* soft-fp/floattisf.c: Likewise.
	* soft-fp/floattitf.c: Likewise.
	* soft-fp/floatundidf.c: Likewise.
	* soft-fp/floatundisf.c: Likewise.
	* soft-fp/floatunditf.c: Likewise.
	* soft-fp/floatunsidf.c: Likewise.
	* soft-fp/floatunsisf.c: Likewise.
	* soft-fp/floatunsitf.c: Likewise.
	* soft-fp/floatuntidf.c: Likewise.
	* soft-fp/floatuntisf.c: Likewise.
	* soft-fp/floatuntitf.c: Likewise.
	* soft-fp/gedf2.c: Likewise.
	* soft-fp/gesf2.c: Likewise.
	* soft-fp/getf2.c: Likewise.
	* soft-fp/ledf2.c: Likewise.
	* soft-fp/lesf2.c: Likewise.
	* soft-fp/letf2.c: Likewise.
	* soft-fp/muldf3.c: Likewise.
	* soft-fp/mulsf3.c: Likewise.
	* soft-fp/multf3.c: Likewise.
	* soft-fp/negdf2.c: Likewise.
	* soft-fp/negsf2.c: Likewise.
	* soft-fp/negtf2.c: Likewise.
	* soft-fp/op-1.h: Likewise.
	* soft-fp/op-2.h: Likewise.
	* soft-fp/op-4.h: Likewise.
	* soft-fp/op-8.h: Likewise.
	* soft-fp/op-common.h: Likewise.
	* soft-fp/quad.h: Likewise.
	* soft-fp/single.h: Likewise.
	* soft-fp/soft-fp.h: Likewise.
	* soft-fp/subdf3.c: Likewise.
	* soft-fp/subsf3.c: Likewise.
	* soft-fp/subtf3.c: Likewise.
	* soft-fp/truncdfsf2.c: Likewise.
	* soft-fp/trunctfdf2.c: Likewise.
	* soft-fp/trunctfsf2.c: Likewise.
	* soft-fp/trunctfxf2.c: Likewise.
	* soft-fp/unorddf2.c: Likewise.
	* soft-fp/unordsf2.c: Likewise.
	* soft-fp/unordtf2.c: Likewise.

From-SVN: r204489
parent 3c40bae1
2013-11-06 Joseph Myers <joseph@codesourcery.com>
* gcc.dg/torture/float128-cmp-invalid.c,
gcc.dg/torture/float128-div-underflow.c,
gcc.dg/torture/float128-extend-nan.c,
gcc.dg/torture/fp-int-convert-float128-timode-3.c: New tests.
2013-11-06 Oleg Endo <olegendo@gcc.gnu.org>
* gcc.target/sh/pr51244-11.c: Remove target line.
......
/* Test for "invalid" exceptions from __float128 comparisons. */
/* { dg-do run { target i?86-*-* x86_64-*-* ia64-*-* } } */
/* { dg-options "" } */
#include <fenv.h>
#include <stdlib.h>
int
main (void)
{
volatile __float128 a = __builtin_nan (""), b = 0;
volatile int r = a < b;
if (!fetestexcept (FE_INVALID))
abort ();
if (r)
abort ();
exit (0);
}
/* Test for spurious underflow from __float128 division. */
/* { dg-do run { target i?86-*-* x86_64-*-* ia64-*-* } } */
/* { dg-options "" } */
#include <fenv.h>
#include <stdlib.h>
int
main (void)
{
volatile __float128 a = 0x0.fffp-16382q, b = 0x0.fffp0q, c;
c = a / b;
if (fetestexcept (FE_UNDERFLOW | FE_INEXACT))
abort ();
if (c != 0x1p-16382q)
abort ();
exit (0);
}
/* Test extensions to __float128 quiet signaling NaNs. */
/* { dg-do run { target i?86-*-* x86_64-*-* ia64-*-* } } */
/* { dg-options "-fsignaling-nans" } */
#include <fenv.h>
#include <float.h>
#include <stdlib.h>
volatile long double a = __builtin_nansl ("");
int
main (void)
{
#if LDBL_MANT_DIG < 113
volatile __float128 r = a;
feclearexcept (FE_INVALID);
r += 1;
if (fetestexcept (FE_INVALID))
abort ();
#endif
exit (0);
}
/* Test for correct rounding of conversions from __int128 to
__float128. */
/* { dg-do run { target i?86-*-* x86_64-*-* ia64-*-* } } */
/* { dg-require-effective-target int128 } */
/* { dg-options "-frounding-math" } */
#include <fenv.h>
#include <stdlib.h>
int
main (void)
{
volatile unsigned long long h = -1ULL;
volatile unsigned __int128 u128 = (((unsigned __int128) h) << 64) | h;
volatile __int128 s128 = u128 >> 1;
fesetround (FE_TOWARDZERO);
__float128 ru = u128, rs = s128;
if (ru != 0x1.ffffffffffffffffffffffffffffp127q)
abort ();
if (rs != 0x1.ffffffffffffffffffffffffffffp126q)
abort ();
exit (0);
}
2013-11-06 Joseph Myers <joseph@codesourcery.com>
* soft-fp/README: Update.
* soft-fp/adddf3.c: Update from glibc.
* soft-fp/addsf3.c: Likewise.
* soft-fp/addtf3.c: Likewise.
* soft-fp/divdf3.c: Likewise.
* soft-fp/divsf3.c: Likewise.
* soft-fp/divtf3.c: Likewise.
* soft-fp/double.h: Likewise.
* soft-fp/eqdf2.c: Likewise.
* soft-fp/eqsf2.c: Likewise.
* soft-fp/eqtf2.c: Likewise.
* soft-fp/extenddftf2.c: Likewise.
* soft-fp/extended.h: Likewise.
* soft-fp/extendsfdf2.c: Likewise.
* soft-fp/extendsftf2.c: Likewise.
* soft-fp/extendxftf2.c: Likewise.
* soft-fp/fixdfdi.c: Likewise.
* soft-fp/fixdfsi.c: Likewise.
* soft-fp/fixdfti.c: Likewise.
* soft-fp/fixsfdi.c: Likewise.
* soft-fp/fixsfsi.c: Likewise.
* soft-fp/fixsfti.c: Likewise.
* soft-fp/fixtfdi.c: Likewise.
* soft-fp/fixtfsi.c: Likewise.
* soft-fp/fixtfti.c: Likewise.
* soft-fp/fixunsdfdi.c: Likewise.
* soft-fp/fixunsdfsi.c: Likewise.
* soft-fp/fixunsdfti.c: Likewise.
* soft-fp/fixunssfdi.c: Likewise.
* soft-fp/fixunssfsi.c: Likewise.
* soft-fp/fixunssfti.c: Likewise.
* soft-fp/fixunstfdi.c: Likewise.
* soft-fp/fixunstfsi.c: Likewise.
* soft-fp/fixunstfti.c: Likewise.
* soft-fp/floatdidf.c: Likewise.
* soft-fp/floatdisf.c: Likewise.
* soft-fp/floatditf.c: Likewise.
* soft-fp/floatsidf.c: Likewise.
* soft-fp/floatsisf.c: Likewise.
* soft-fp/floatsitf.c: Likewise.
* soft-fp/floattidf.c: Likewise.
* soft-fp/floattisf.c: Likewise.
* soft-fp/floattitf.c: Likewise.
* soft-fp/floatundidf.c: Likewise.
* soft-fp/floatundisf.c: Likewise.
* soft-fp/floatunditf.c: Likewise.
* soft-fp/floatunsidf.c: Likewise.
* soft-fp/floatunsisf.c: Likewise.
* soft-fp/floatunsitf.c: Likewise.
* soft-fp/floatuntidf.c: Likewise.
* soft-fp/floatuntisf.c: Likewise.
* soft-fp/floatuntitf.c: Likewise.
* soft-fp/gedf2.c: Likewise.
* soft-fp/gesf2.c: Likewise.
* soft-fp/getf2.c: Likewise.
* soft-fp/ledf2.c: Likewise.
* soft-fp/lesf2.c: Likewise.
* soft-fp/letf2.c: Likewise.
* soft-fp/muldf3.c: Likewise.
* soft-fp/mulsf3.c: Likewise.
* soft-fp/multf3.c: Likewise.
* soft-fp/negdf2.c: Likewise.
* soft-fp/negsf2.c: Likewise.
* soft-fp/negtf2.c: Likewise.
* soft-fp/op-1.h: Likewise.
* soft-fp/op-2.h: Likewise.
* soft-fp/op-4.h: Likewise.
* soft-fp/op-8.h: Likewise.
* soft-fp/op-common.h: Likewise.
* soft-fp/quad.h: Likewise.
* soft-fp/single.h: Likewise.
* soft-fp/soft-fp.h: Likewise.
* soft-fp/subdf3.c: Likewise.
* soft-fp/subsf3.c: Likewise.
* soft-fp/subtf3.c: Likewise.
* soft-fp/truncdfsf2.c: Likewise.
* soft-fp/trunctfdf2.c: Likewise.
* soft-fp/trunctfsf2.c: Likewise.
* soft-fp/trunctfxf2.c: Likewise.
* soft-fp/unorddf2.c: Likewise.
* soft-fp/unordsf2.c: Likewise.
* soft-fp/unordtf2.c: Likewise.
2013-11-05 Uros Bizjak <ubizjak@gmail.com>
* config/i386/32/sfp-machine.h (_FP_MUL_MEAT_S): Define.
......
Except for conversions involving TImode and conversions involving
XFmode, the files in this directory are part of the GNU C Library, not part
of GCC. As described at <http://gcc.gnu.org/codingconventions.html>, changes
should be made to the GNU C Library and the changed files then imported
into GCC.
The files in this directory are part of the GNU C Library, not part of
GCC. As described at <http://gcc.gnu.org/codingconventions.html>,
changes should be made to the GNU C Library and the changed files then
imported into GCC.
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "double.h"
DFtype __adddf3(DFtype a, DFtype b)
DFtype
__adddf3 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B); FP_DECL_D(R);
FP_DECL_D (A);
FP_DECL_D (B);
FP_DECL_D (R);
DFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_D(A, a);
FP_UNPACK_SEMIRAW_D(B, b);
FP_ADD_D(R, A, B);
FP_PACK_SEMIRAW_D(r, R);
FP_UNPACK_SEMIRAW_D (A, a);
FP_UNPACK_SEMIRAW_D (B, b);
FP_ADD_D (R, A, B);
FP_PACK_SEMIRAW_D (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "single.h"
SFtype __addsf3(SFtype a, SFtype b)
SFtype
__addsf3 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B); FP_DECL_S(R);
FP_DECL_S (A);
FP_DECL_S (B);
FP_DECL_S (R);
SFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_S(A, a);
FP_UNPACK_SEMIRAW_S(B, b);
FP_ADD_S(R, A, B);
FP_PACK_SEMIRAW_S(r, R);
FP_UNPACK_SEMIRAW_S (A, a);
FP_UNPACK_SEMIRAW_S (B, b);
FP_ADD_S (R, A, B);
FP_PACK_SEMIRAW_S (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "quad.h"
TFtype __addtf3(TFtype a, TFtype b)
TFtype
__addtf3 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B); FP_DECL_Q(R);
FP_DECL_Q (A);
FP_DECL_Q (B);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_Q(A, a);
FP_UNPACK_SEMIRAW_Q(B, b);
FP_ADD_Q(R, A, B);
FP_PACK_SEMIRAW_Q(r, R);
FP_UNPACK_SEMIRAW_Q (A, a);
FP_UNPACK_SEMIRAW_Q (B, b);
FP_ADD_Q (R, A, B);
FP_PACK_SEMIRAW_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "double.h"
DFtype __divdf3(DFtype a, DFtype b)
DFtype
__divdf3 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B); FP_DECL_D(R);
FP_DECL_D (A);
FP_DECL_D (B);
FP_DECL_D (R);
DFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_D(A, a);
FP_UNPACK_D(B, b);
FP_DIV_D(R, A, B);
FP_PACK_D(r, R);
FP_UNPACK_D (A, a);
FP_UNPACK_D (B, b);
FP_DIV_D (R, A, B);
FP_PACK_D (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "single.h"
SFtype __divsf3(SFtype a, SFtype b)
SFtype
__divsf3 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B); FP_DECL_S(R);
FP_DECL_S (A);
FP_DECL_S (B);
FP_DECL_S (R);
SFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_S(A, a);
FP_UNPACK_S(B, b);
FP_DIV_S(R, A, B);
FP_PACK_S(r, R);
FP_UNPACK_S (A, a);
FP_UNPACK_S (B, b);
FP_DIV_S (R, A, B);
FP_PACK_S (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "quad.h"
TFtype __divtf3(TFtype a, TFtype b)
TFtype
__divtf3 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B); FP_DECL_Q(R);
FP_DECL_Q (A);
FP_DECL_Q (B);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_Q(A, a);
FP_UNPACK_Q(B, b);
FP_DIV_Q(R, A, B);
FP_PACK_Q(r, R);
FP_UNPACK_Q (A, a);
FP_UNPACK_Q (B, b);
FP_DIV_Q (R, A, B);
FP_PACK_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,13 +31,15 @@
<http://www.gnu.org/licenses/>. */
#if _FP_W_TYPE_SIZE < 32
#error "Here's a nickel kid. Go buy yourself a real computer."
# 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_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_D _FP_W_TYPE_SIZE
# define _FP_FRACTBITS_DW_D (2 * _FP_W_TYPE_SIZE)
#endif
#define _FP_FRACBITS_D 53
......@@ -49,215 +51,264 @@
#define _FP_EXPMAX_D 2047
#define _FP_QNANBIT_D \
((_FP_W_TYPE)1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE)
((_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)
((_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)
((_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)
((_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)
((_FP_W_TYPE) 1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE)
typedef float DFtype __attribute__((mode(DF)));
#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
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
# 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 __attribute__((packed));
# endif
} bits __attribute__ ((packed));
};
#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_CMP_D(r,X,Y,un) _FP_CMP(D,2,r,X,Y,un)
#define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,2,r,X,Y)
#define FP_CMP_UNORD_D(r,X,Y) _FP_CMP_UNORD(D,2,r,X,Y)
#define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(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_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) _FP_CMP (D, 2, r, X, Y, un)
# define FP_CMP_EQ_D(r, X, Y) _FP_CMP_EQ (D, 2, r, X, Y)
# define FP_CMP_UNORD_D(r, X, Y) _FP_CMP_UNORD (D, 2, r, X, Y)
# define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (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
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
# else
_FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
unsigned exp : _FP_EXPBITS_D;
unsigned sign : 1;
#endif
} bits __attribute__((packed));
# endif
} bits __attribute__ ((packed));
};
#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_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) _FP_CMP(D,1,r,X,Y,un)
#define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,1,r,X,Y)
#define FP_CMP_UNORD_D(r,X,Y) _FP_CMP_UNORD(D,1,r,X,Y)
# define FP_CMP_D(r, X, Y, un) _FP_CMP (D, 1, r, X, Y, un)
# define FP_CMP_EQ_D(r, X, Y) _FP_CMP_EQ (D, 1, r, X, Y)
# define FP_CMP_UNORD_D(r, X, Y) _FP_CMP_UNORD (D, 1, r, X, Y)
# define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (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_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(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_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 */
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "double.h"
CMPtype __eqdf2(DFtype a, DFtype b)
CMPtype
__eqdf2 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B);
FP_DECL_D (A);
FP_DECL_D (B);
CMPtype r;
FP_UNPACK_RAW_D(A, a);
FP_UNPACK_RAW_D(B, b);
FP_CMP_EQ_D(r, A, B);
if (r && (FP_ISSIGNAN_D(A) || FP_ISSIGNAN_D(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_UNPACK_RAW_D (B, b);
FP_CMP_EQ_D (r, A, B);
if (r && (FP_ISSIGNAN_D (A) || FP_ISSIGNAN_D (B)))
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__eqdf2, __nedf2);
strong_alias (__eqdf2, __nedf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "single.h"
CMPtype __eqsf2(SFtype a, SFtype b)
CMPtype
__eqsf2 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B);
FP_DECL_S (A);
FP_DECL_S (B);
CMPtype r;
FP_UNPACK_RAW_S(A, a);
FP_UNPACK_RAW_S(B, b);
FP_CMP_EQ_S(r, A, B);
if (r && (FP_ISSIGNAN_S(A) || FP_ISSIGNAN_S(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_UNPACK_RAW_S (B, b);
FP_CMP_EQ_S (r, A, B);
if (r && (FP_ISSIGNAN_S (A) || FP_ISSIGNAN_S (B)))
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__eqsf2, __nesf2);
strong_alias (__eqsf2, __nesf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "quad.h"
CMPtype __eqtf2(TFtype a, TFtype b)
CMPtype
__eqtf2 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B);
FP_DECL_Q (A);
FP_DECL_Q (B);
CMPtype r;
FP_UNPACK_RAW_Q(A, a);
FP_UNPACK_RAW_Q(B, b);
FP_CMP_EQ_Q(r, A, B);
if (r && (FP_ISSIGNAN_Q(A) || FP_ISSIGNAN_Q(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_UNPACK_RAW_Q (B, b);
FP_CMP_EQ_Q (r, A, B);
if (r && (FP_ISSIGNAN_Q (A) || FP_ISSIGNAN_Q (B)))
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__eqtf2, __netf2);
strong_alias (__eqtf2, __netf2);
......@@ -32,21 +32,22 @@
#include "double.h"
#include "quad.h"
TFtype __extenddftf2(DFtype a)
TFtype
__extenddftf2 (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_Q(R);
FP_DECL_D (A);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_RAW_D(A, a);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q
FP_EXTEND(Q,D,4,2,R,A);
FP_EXTEND (Q, D, 4, 2, R, A);
#else
FP_EXTEND(Q,D,2,1,R,A);
FP_EXTEND (Q, D, 2, 1, R, A);
#endif
FP_PACK_RAW_Q(r, R);
FP_PACK_RAW_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -28,13 +28,15 @@
<http://www.gnu.org/licenses/>. */
#if _FP_W_TYPE_SIZE < 32
#error "Here's a nickel, kid. Go buy yourself a real computer."
# error "Here's a nickel, kid. Go buy yourself a real computer."
#endif
#if _FP_W_TYPE_SIZE < 64
#define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_DW_E (8*_FP_W_TYPE_SIZE)
#else
#define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_DW_E (4*_FP_W_TYPE_SIZE)
#endif
#define _FP_FRACBITS_E 64
......@@ -46,152 +48,187 @@
#define _FP_EXPMAX_E 32767
#define _FP_QNANBIT_E \
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE)
#define _FP_QNANBIT_SH_E \
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
#define _FP_IMPLBIT_E \
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE)
#define _FP_IMPLBIT_SH_E \
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
#define _FP_OVERFLOW_E \
((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE))
((_FP_W_TYPE) 1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE))
typedef float XFtype __attribute__((mode(XF)));
#define _FP_WFRACBITS_DW_E (2 * _FP_WFRACBITS_E)
#define _FP_WFRACXBITS_DW_E (_FP_FRACTBITS_DW_E - _FP_WFRACBITS_DW_E)
#define _FP_HIGHBIT_DW_E \
((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_E - 1) % _FP_W_TYPE_SIZE)
typedef float XFtype __attribute__ ((mode (XF)));
#if _FP_W_TYPE_SIZE < 64
union _FP_UNION_E
{
XFtype flt;
struct _FP_STRUCT_LAYOUT
{
#if __BYTE_ORDER == __BIG_ENDIAN
unsigned long pad1 : _FP_W_TYPE_SIZE;
unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
unsigned long sign : 1;
unsigned long exp : _FP_EXPBITS_E;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned long frac0 : _FP_W_TYPE_SIZE;
#else
unsigned long frac0 : _FP_W_TYPE_SIZE;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned exp : _FP_EXPBITS_E;
unsigned sign : 1;
#endif /* not bigendian */
} bits __attribute__((packed));
XFtype flt;
struct _FP_STRUCT_LAYOUT
{
# if __BYTE_ORDER == __BIG_ENDIAN
unsigned long pad1 : _FP_W_TYPE_SIZE;
unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
unsigned long sign : 1;
unsigned long exp : _FP_EXPBITS_E;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned long frac0 : _FP_W_TYPE_SIZE;
# else
unsigned long frac0 : _FP_W_TYPE_SIZE;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned exp : _FP_EXPBITS_E;
unsigned sign : 1;
# endif /* not bigendian */
} bits __attribute__ ((packed));
};
#define FP_DECL_E(X) _FP_DECL(4,X)
#define FP_UNPACK_RAW_E(X, val) \
do { \
union _FP_UNION_E _flo; _flo.flt = (val); \
\
X##_f[2] = 0; X##_f[3] = 0; \
X##_f[0] = _flo.bits.frac0; \
X##_f[1] = _flo.bits.frac1; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} while (0)
#define FP_UNPACK_RAW_EP(X, val) \
do { \
union _FP_UNION_E *_flo = \
(union _FP_UNION_E *)(val); \
\
X##_f[2] = 0; X##_f[3] = 0; \
X##_f[0] = _flo->bits.frac0; \
X##_f[1] = _flo->bits.frac1; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} while (0)
#define FP_PACK_RAW_E(val, X) \
do { \
union _FP_UNION_E _flo; \
\
if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
else X##_f[1] &= ~(_FP_IMPLBIT_E); \
_flo.bits.frac0 = X##_f[0]; \
_flo.bits.frac1 = X##_f[1]; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} while (0)
#define FP_PACK_RAW_EP(val, X) \
do { \
if (!FP_INHIBIT_RESULTS) \
{ \
union _FP_UNION_E *_flo = \
(union _FP_UNION_E *)(val); \
\
if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
else X##_f[1] &= ~(_FP_IMPLBIT_E); \
_flo->bits.frac0 = X##_f[0]; \
_flo->bits.frac1 = X##_f[1]; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
} while (0)
#define FP_UNPACK_E(X,val) \
do { \
FP_UNPACK_RAW_E(X,val); \
_FP_UNPACK_CANONICAL(E,4,X); \
} while (0)
#define FP_UNPACK_EP(X,val) \
do { \
FP_UNPACK_RAW_EP(X,val); \
_FP_UNPACK_CANONICAL(E,4,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_E(X,val) \
do { \
FP_UNPACK_RAW_E(X,val); \
_FP_UNPACK_SEMIRAW(E,4,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_EP(X,val) \
do { \
FP_UNPACK_RAW_EP(X,val); \
_FP_UNPACK_SEMIRAW(E,4,X); \
} while (0)
#define FP_PACK_E(val,X) \
do { \
_FP_PACK_CANONICAL(E,4,X); \
FP_PACK_RAW_E(val,X); \
} while (0)
#define FP_PACK_EP(val,X) \
do { \
_FP_PACK_CANONICAL(E,4,X); \
FP_PACK_RAW_EP(val,X); \
} while (0)
#define FP_PACK_SEMIRAW_E(val,X) \
do { \
_FP_PACK_SEMIRAW(E,4,X); \
FP_PACK_RAW_E(val,X); \
} while (0)
#define FP_PACK_SEMIRAW_EP(val,X) \
do { \
_FP_PACK_SEMIRAW(E,4,X); \
FP_PACK_RAW_EP(val,X); \
} while (0)
#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X)
#define FP_NEG_E(R,X) _FP_NEG(E,4,R,X)
#define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y)
#define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y)
#define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y)
#define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y)
#define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X)
# define FP_DECL_E(X) _FP_DECL (4, X)
# define FP_UNPACK_RAW_E(X, val) \
do \
{ \
union _FP_UNION_E _flo; \
_flo.flt = (val); \
\
X##_f[2] = 0; \
X##_f[3] = 0; \
X##_f[0] = _flo.bits.frac0; \
X##_f[1] = _flo.bits.frac1; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} \
while (0)
# define FP_UNPACK_RAW_EP(X, val) \
do \
{ \
union _FP_UNION_E *_flo = (union _FP_UNION_E *) (val); \
\
X##_f[2] = 0; \
X##_f[3] = 0; \
X##_f[0] = _flo->bits.frac0; \
X##_f[1] = _flo->bits.frac1; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} \
while (0)
# define FP_PACK_RAW_E(val, X) \
do \
{ \
union _FP_UNION_E _flo; \
\
if (X##_e) \
X##_f[1] |= _FP_IMPLBIT_E; \
else \
X##_f[1] &= ~(_FP_IMPLBIT_E); \
_flo.bits.frac0 = X##_f[0]; \
_flo.bits.frac1 = X##_f[1]; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} \
while (0)
# define FP_PACK_RAW_EP(val, X) \
do \
{ \
if (!FP_INHIBIT_RESULTS) \
{ \
union _FP_UNION_E *_flo = (union _FP_UNION_E *) (val); \
\
if (X##_e) \
X##_f[1] |= _FP_IMPLBIT_E; \
else \
X##_f[1] &= ~(_FP_IMPLBIT_E); \
_flo->bits.frac0 = X##_f[0]; \
_flo->bits.frac1 = X##_f[1]; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
} \
while (0)
# define FP_UNPACK_E(X, val) \
do \
{ \
FP_UNPACK_RAW_E (X, val); \
_FP_UNPACK_CANONICAL (E, 4, X); \
} \
while (0)
# define FP_UNPACK_EP(X, val) \
do \
{ \
FP_UNPACK_RAW_EP (X, val); \
_FP_UNPACK_CANONICAL (E, 4, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_E(X, val) \
do \
{ \
FP_UNPACK_RAW_E (X, val); \
_FP_UNPACK_SEMIRAW (E, 4, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_EP(X, val) \
do \
{ \
FP_UNPACK_RAW_EP (X, val); \
_FP_UNPACK_SEMIRAW (E, 4, X); \
} \
while (0)
# define FP_PACK_E(val, X) \
do \
{ \
_FP_PACK_CANONICAL (E, 4, X); \
FP_PACK_RAW_E (val, X); \
} \
while (0)
# define FP_PACK_EP(val, X) \
do \
{ \
_FP_PACK_CANONICAL (E, 4, X); \
FP_PACK_RAW_EP (val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_E(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (E, 4, X); \
FP_PACK_RAW_E (val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_EP(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (E, 4, X); \
FP_PACK_RAW_EP (val, X); \
} \
while (0)
# define FP_ISSIGNAN_E(X) _FP_ISSIGNAN (E, 4, X)
# define FP_NEG_E(R, X) _FP_NEG (E, 4, R, X)
# define FP_ADD_E(R, X, Y) _FP_ADD (E, 4, R, X, Y)
# define FP_SUB_E(R, X, Y) _FP_SUB (E, 4, R, X, Y)
# define FP_MUL_E(R, X, Y) _FP_MUL (E, 4, R, X, Y)
# define FP_DIV_E(R, X, Y) _FP_DIV (E, 4, R, X, Y)
# define FP_SQRT_E(R, X) _FP_SQRT (E, 4, R, X)
# define FP_FMA_E(R, X, Y, Z) _FP_FMA (E, 4, 8, R, X, Y, Z)
/*
* Square root algorithms:
......@@ -204,185 +241,218 @@ union _FP_UNION_E
* in two UWtype registers instead of four.
*/
#define _FP_SQRT_MEAT_E(R, S, T, X, q) \
do { \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
_FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \
while (q) \
{ \
T##_f[1] = S##_f[1] + q; \
if (T##_f[1] <= X##_f[1]) \
{ \
S##_f[1] = T##_f[1] + q; \
X##_f[1] -= T##_f[1]; \
R##_f[1] += q; \
} \
_FP_FRAC_SLL_2(X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
while (q) \
{ \
T##_f[0] = S##_f[0] + q; \
T##_f[1] = S##_f[1]; \
if (T##_f[1] < X##_f[1] || \
(T##_f[1] == X##_f[1] && \
T##_f[0] <= X##_f[0])) \
{ \
S##_f[0] = T##_f[0] + q; \
S##_f[1] += (T##_f[0] > S##_f[0]); \
_FP_FRAC_DEC_2(X, T); \
R##_f[0] += q; \
} \
_FP_FRAC_SLL_2(X, 1); \
q >>= 1; \
} \
_FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \
if (X##_f[0] | X##_f[1]) \
{ \
if (S##_f[1] < X##_f[1] || \
(S##_f[1] == X##_f[1] && \
S##_f[0] < X##_f[0])) \
R##_f[0] |= _FP_WORK_ROUND; \
R##_f[0] |= _FP_WORK_STICKY; \
} \
} while (0)
#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un)
#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y)
#define FP_CMP_UNORD_E(r,X,Y) _FP_CMP_UNORD(E,4,r,X,Y)
#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg)
#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt)
#define _FP_FRAC_HIGH_E(X) (X##_f[2])
#define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1])
# define _FP_SQRT_MEAT_E(R, S, T, X, q) \
do \
{ \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
_FP_FRAC_SRL_4 (X, (_FP_WORKBITS)); \
while (q) \
{ \
T##_f[1] = S##_f[1] + q; \
if (T##_f[1] <= X##_f[1]) \
{ \
S##_f[1] = T##_f[1] + q; \
X##_f[1] -= T##_f[1]; \
R##_f[1] += q; \
} \
_FP_FRAC_SLL_2 (X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
while (q) \
{ \
T##_f[0] = S##_f[0] + q; \
T##_f[1] = S##_f[1]; \
if (T##_f[1] < X##_f[1] \
|| (T##_f[1] == X##_f[1] \
&& T##_f[0] <= X##_f[0])) \
{ \
S##_f[0] = T##_f[0] + q; \
S##_f[1] += (T##_f[0] > S##_f[0]); \
_FP_FRAC_DEC_2 (X, T); \
R##_f[0] += q; \
} \
_FP_FRAC_SLL_2 (X, 1); \
q >>= 1; \
} \
_FP_FRAC_SLL_4 (R, (_FP_WORKBITS)); \
if (X##_f[0] | X##_f[1]) \
{ \
if (S##_f[1] < X##_f[1] \
|| (S##_f[1] == X##_f[1] \
&& S##_f[0] < X##_f[0])) \
R##_f[0] |= _FP_WORK_ROUND; \
R##_f[0] |= _FP_WORK_STICKY; \
} \
} \
while (0)
# define FP_CMP_E(r, X, Y, un) _FP_CMP (E, 4, r, X, Y, un)
# define FP_CMP_EQ_E(r, X, Y) _FP_CMP_EQ (E, 4, r, X, Y)
# define FP_CMP_UNORD_E(r, X, Y) _FP_CMP_UNORD (E, 4, r, X, Y)
# define FP_TO_INT_E(r, X, rsz, rsg) _FP_TO_INT (E, 4, r, X, rsz, rsg)
# define FP_FROM_INT_E(X, r, rs, rt) _FP_FROM_INT (E, 4, X, r, rs, rt)
# define _FP_FRAC_HIGH_E(X) (X##_f[2])
# define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1])
# define _FP_FRAC_HIGH_DW_E(X) (X##_f[4])
#else /* not _FP_W_TYPE_SIZE < 64 */
union _FP_UNION_E
{
XFtype flt;
struct _FP_STRUCT_LAYOUT {
#if __BYTE_ORDER == __BIG_ENDIAN
struct _FP_STRUCT_LAYOUT
{
# if __BYTE_ORDER == __BIG_ENDIAN
_FP_W_TYPE pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_E;
_FP_W_TYPE frac : _FP_W_TYPE_SIZE;
#else
# else
_FP_W_TYPE frac : _FP_W_TYPE_SIZE;
unsigned exp : _FP_EXPBITS_E;
unsigned sign : 1;
#endif
# endif
} bits;
};
#define FP_DECL_E(X) _FP_DECL(2,X)
#define FP_UNPACK_RAW_E(X, val) \
do { \
union _FP_UNION_E _flo; _flo.flt = (val); \
\
X##_f0 = _flo.bits.frac; \
X##_f1 = 0; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} while (0)
#define FP_UNPACK_RAW_EP(X, val) \
do { \
union _FP_UNION_E *_flo = \
(union _FP_UNION_E *)(val); \
\
X##_f0 = _flo->bits.frac; \
X##_f1 = 0; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} while (0)
#define FP_PACK_RAW_E(val, X) \
do { \
union _FP_UNION_E _flo; \
\
if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
else X##_f0 &= ~(_FP_IMPLBIT_E); \
_flo.bits.frac = X##_f0; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} while (0)
#define FP_PACK_RAW_EP(fs, val, X) \
do { \
if (!FP_INHIBIT_RESULTS) \
{ \
union _FP_UNION_E *_flo = \
(union _FP_UNION_E *)(val); \
# define FP_DECL_E(X) _FP_DECL (2, X)
# define FP_UNPACK_RAW_E(X, val) \
do \
{ \
union _FP_UNION_E _flo; \
_flo.flt = (val); \
\
X##_f0 = _flo.bits.frac; \
X##_f1 = 0; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} \
while (0)
# define FP_UNPACK_RAW_EP(X, val) \
do \
{ \
union _FP_UNION_E *_flo = (union _FP_UNION_E *) (val); \
\
if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
else X##_f0 &= ~(_FP_IMPLBIT_E); \
_flo->bits.frac = X##_f0; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
} while (0)
#define FP_UNPACK_E(X,val) \
do { \
FP_UNPACK_RAW_E(X,val); \
_FP_UNPACK_CANONICAL(E,2,X); \
} while (0)
#define FP_UNPACK_EP(X,val) \
do { \
FP_UNPACK_RAW_EP(X,val); \
_FP_UNPACK_CANONICAL(E,2,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_E(X,val) \
do { \
FP_UNPACK_RAW_E(X,val); \
_FP_UNPACK_SEMIRAW(E,2,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_EP(X,val) \
do { \
FP_UNPACK_RAW_EP(X,val); \
_FP_UNPACK_SEMIRAW(E,2,X); \
} while (0)
#define FP_PACK_E(val,X) \
do { \
_FP_PACK_CANONICAL(E,2,X); \
FP_PACK_RAW_E(val,X); \
} while (0)
#define FP_PACK_EP(val,X) \
do { \
_FP_PACK_CANONICAL(E,2,X); \
FP_PACK_RAW_EP(val,X); \
} while (0)
#define FP_PACK_SEMIRAW_E(val,X) \
do { \
_FP_PACK_SEMIRAW(E,2,X); \
FP_PACK_RAW_E(val,X); \
} while (0)
#define FP_PACK_SEMIRAW_EP(val,X) \
do { \
_FP_PACK_SEMIRAW(E,2,X); \
FP_PACK_RAW_EP(val,X); \
} while (0)
#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X)
#define FP_NEG_E(R,X) _FP_NEG(E,2,R,X)
#define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y)
#define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y)
#define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y)
#define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y)
#define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X)
X##_f0 = _flo->bits.frac; \
X##_f1 = 0; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} \
while (0)
# define FP_PACK_RAW_E(val, X) \
do \
{ \
union _FP_UNION_E _flo; \
\
if (X##_e) \
X##_f0 |= _FP_IMPLBIT_E; \
else \
X##_f0 &= ~(_FP_IMPLBIT_E); \
_flo.bits.frac = X##_f0; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} \
while (0)
# define FP_PACK_RAW_EP(fs, val, X) \
do \
{ \
if (!FP_INHIBIT_RESULTS) \
{ \
union _FP_UNION_E *_flo = (union _FP_UNION_E *) (val); \
\
if (X##_e) \
X##_f0 |= _FP_IMPLBIT_E; \
else \
X##_f0 &= ~(_FP_IMPLBIT_E); \
_flo->bits.frac = X##_f0; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
} \
while (0)
# define FP_UNPACK_E(X, val) \
do \
{ \
FP_UNPACK_RAW_E (X, val); \
_FP_UNPACK_CANONICAL (E, 2, X); \
} \
while (0)
# define FP_UNPACK_EP(X, val) \
do \
{ \
FP_UNPACK_RAW_EP (X, val); \
_FP_UNPACK_CANONICAL (E, 2, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_E(X, val) \
do \
{ \
FP_UNPACK_RAW_E (X, val); \
_FP_UNPACK_SEMIRAW (E, 2, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_EP(X, val) \
do \
{ \
FP_UNPACK_RAW_EP (X, val); \
_FP_UNPACK_SEMIRAW (E, 2, X); \
} \
while (0)
# define FP_PACK_E(val, X) \
do \
{ \
_FP_PACK_CANONICAL (E, 2, X); \
FP_PACK_RAW_E (val, X); \
} \
while (0)
# define FP_PACK_EP(val, X) \
do \
{ \
_FP_PACK_CANONICAL (E, 2, X); \
FP_PACK_RAW_EP (val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_E(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (E, 2, X); \
FP_PACK_RAW_E (val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_EP(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (E, 2, X); \
FP_PACK_RAW_EP (val, X); \
} \
while (0)
# define FP_ISSIGNAN_E(X) _FP_ISSIGNAN (E, 2, X)
# define FP_NEG_E(R, X) _FP_NEG (E, 2, R, X)
# define FP_ADD_E(R, X, Y) _FP_ADD (E, 2, R, X, Y)
# define FP_SUB_E(R, X, Y) _FP_SUB (E, 2, R, X, Y)
# define FP_MUL_E(R, X, Y) _FP_MUL (E, 2, R, X, Y)
# define FP_DIV_E(R, X, Y) _FP_DIV (E, 2, R, X, Y)
# define FP_SQRT_E(R, X) _FP_SQRT (E, 2, R, X)
# define FP_FMA_E(R, X, Y, Z) _FP_FMA (E, 2, 4, R, X, Y, Z)
/*
* Square root algorithms:
......@@ -392,39 +462,43 @@ union _FP_UNION_E
* in one UWtype registers instead of two, although we don't
* have to.
*/
#define _FP_SQRT_MEAT_E(R, S, T, X, q) \
do { \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
_FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \
while (q) \
{ \
T##_f0 = S##_f0 + q; \
if (T##_f0 <= X##_f0) \
{ \
S##_f0 = T##_f0 + q; \
X##_f0 -= T##_f0; \
R##_f0 += q; \
} \
_FP_FRAC_SLL_1(X, 1); \
q >>= 1; \
} \
_FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \
if (X##_f0) \
{ \
if (S##_f0 < X##_f0) \
R##_f0 |= _FP_WORK_ROUND; \
R##_f0 |= _FP_WORK_STICKY; \
} \
} while (0)
#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un)
#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y)
#define FP_CMP_UNORD_E(r,X,Y) _FP_CMP_UNORD(E,2,r,X,Y)
#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg)
#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt)
#define _FP_FRAC_HIGH_E(X) (X##_f1)
#define _FP_FRAC_HIGH_RAW_E(X) (X##_f0)
# define _FP_SQRT_MEAT_E(R, S, T, X, q) \
do \
{ \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
_FP_FRAC_SRL_2 (X, (_FP_WORKBITS)); \
while (q) \
{ \
T##_f0 = S##_f0 + q; \
if (T##_f0 <= X##_f0) \
{ \
S##_f0 = T##_f0 + q; \
X##_f0 -= T##_f0; \
R##_f0 += q; \
} \
_FP_FRAC_SLL_1 (X, 1); \
q >>= 1; \
} \
_FP_FRAC_SLL_2 (R, (_FP_WORKBITS)); \
if (X##_f0) \
{ \
if (S##_f0 < X##_f0) \
R##_f0 |= _FP_WORK_ROUND; \
R##_f0 |= _FP_WORK_STICKY; \
} \
} \
while (0)
# define FP_CMP_E(r, X, Y, un) _FP_CMP (E, 2, r, X, Y, un)
# define FP_CMP_EQ_E(r, X, Y) _FP_CMP_EQ (E, 2, r, X, Y)
# define FP_CMP_UNORD_E(r, X, Y) _FP_CMP_UNORD (E, 2, r, X, Y)
# define FP_TO_INT_E(r, X, rsz, rsg) _FP_TO_INT (E, 2, r, X, rsz, rsg)
# define FP_FROM_INT_E(X, r, rs, rt) _FP_FROM_INT (E, 2, X, r, rs, rt)
# define _FP_FRAC_HIGH_E(X) (X##_f1)
# define _FP_FRAC_HIGH_RAW_E(X) (X##_f0)
# define _FP_FRAC_HIGH_DW_E(X) (X##_f[2])
#endif /* not _FP_W_TYPE_SIZE < 64 */
......@@ -32,21 +32,22 @@
#include "single.h"
#include "double.h"
DFtype __extendsfdf2(SFtype a)
DFtype
__extendsfdf2 (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_D(R);
FP_DECL_S (A);
FP_DECL_D (R);
DFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_RAW_S(A, a);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D
FP_EXTEND(D,S,2,1,R,A);
FP_EXTEND (D, S, 2, 1, R, A);
#else
FP_EXTEND(D,S,1,1,R,A);
FP_EXTEND (D, S, 1, 1, R, A);
#endif
FP_PACK_RAW_D(r, R);
FP_PACK_RAW_D (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -32,21 +32,22 @@
#include "single.h"
#include "quad.h"
TFtype __extendsftf2(SFtype a)
TFtype
__extendsftf2 (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_Q(R);
FP_DECL_S (A);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_RAW_S(A, a);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q
FP_EXTEND(Q,S,4,1,R,A);
FP_EXTEND (Q, S, 4, 1, R, A);
#else
FP_EXTEND(Q,S,2,1,R,A);
FP_EXTEND (Q, S, 2, 1, R, A);
#endif
FP_PACK_RAW_Q(r, R);
FP_PACK_RAW_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Return a converted to IEEE quad
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,29 +24,29 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "extended.h"
#include "quad.h"
TFtype __extendxftf2(XFtype a)
TFtype
__extendxftf2 (XFtype a)
{
FP_DECL_EX;
FP_DECL_E(A);
FP_DECL_Q(R);
FP_DECL_E (A);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_RAW_E(A, a);
FP_UNPACK_RAW_E (A, a);
#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q
FP_EXTEND(Q,E,4,4,R,A);
FP_EXTEND (Q, E, 4, 4, R, A);
#else
FP_EXTEND(Q,E,2,2,R,A);
FP_EXTEND (Q, E, 2, 2, R, A);
#endif
FP_PACK_RAW_Q(r, R);
FP_PACK_RAW_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "double.h"
DItype __fixdfdi(DFtype a)
DItype
__fixdfdi (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
UDItype r;
FP_UNPACK_RAW_D(A, a);
FP_TO_INT_D(r, A, DI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_TO_INT_D (r, A, DI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "double.h"
SItype __fixdfsi(DFtype a)
SItype
__fixdfsi (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
USItype r;
FP_UNPACK_RAW_D(A, a);
FP_TO_INT_D(r, A, SI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_TO_INT_D (r, A, SI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Convert IEEE double to 128bit signed integer
Copyright (C) 2007, 2008 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "double.h"
TItype __fixdfti(DFtype a)
TItype
__fixdfti (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
UTItype r;
FP_UNPACK_RAW_D(A, a);
FP_TO_INT_D(r, A, TI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_TO_INT_D (r, A, TI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
DItype __fixsfdi(SFtype a)
DItype
__fixsfdi (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
UDItype r;
FP_UNPACK_RAW_S(A, a);
FP_TO_INT_S(r, A, DI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_TO_INT_S (r, A, DI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
SItype __fixsfsi(SFtype a)
SItype
__fixsfsi (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
USItype r;
FP_UNPACK_RAW_S(A, a);
FP_TO_INT_S(r, A, SI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_TO_INT_S (r, A, SI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Convert IEEE single to 128bit signed integer
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "single.h"
TItype __fixsfti(SFtype a)
TItype
__fixsfti (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
UTItype r;
FP_UNPACK_RAW_S(A, a);
FP_TO_INT_S(r, A, TI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_TO_INT_S (r, A, TI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "quad.h"
DItype __fixtfdi(TFtype a)
DItype
__fixtfdi (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
UDItype r;
FP_UNPACK_RAW_Q(A, a);
FP_TO_INT_Q(r, A, DI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_TO_INT_Q (r, A, DI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "quad.h"
SItype __fixtfsi(TFtype a)
SItype
__fixtfsi (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
USItype r;
FP_UNPACK_RAW_Q(A, a);
FP_TO_INT_Q(r, A, SI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_TO_INT_Q (r, A, SI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Convert IEEE quad to 128bit signed integer
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "quad.h"
TItype __fixtfti(TFtype a)
TItype
__fixtfti (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
UTItype r;
FP_UNPACK_RAW_Q(A, a);
FP_TO_INT_Q(r, A, TI_BITS, 1);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_TO_INT_Q (r, A, TI_BITS, 1);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "double.h"
UDItype __fixunsdfdi(DFtype a)
UDItype
__fixunsdfdi (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
UDItype r;
FP_UNPACK_RAW_D(A, a);
FP_TO_INT_D(r, A, DI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_TO_INT_D (r, A, DI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "double.h"
USItype __fixunsdfsi(DFtype a)
USItype
__fixunsdfsi (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
USItype r;
FP_UNPACK_RAW_D(A, a);
FP_TO_INT_D(r, A, SI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_TO_INT_D (r, A, SI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Convert IEEE double to 128bit unsigned integer
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "double.h"
UTItype __fixunsdfti(DFtype a)
UTItype
__fixunsdfti (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
UTItype r;
FP_UNPACK_RAW_D(A, a);
FP_TO_INT_D(r, A, TI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_TO_INT_D (r, A, TI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
UDItype __fixunssfdi(SFtype a)
UDItype
__fixunssfdi (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
UDItype r;
FP_UNPACK_RAW_S(A, a);
FP_TO_INT_S(r, A, DI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_TO_INT_S (r, A, DI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
USItype __fixunssfsi(SFtype a)
USItype
__fixunssfsi (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
USItype r;
FP_UNPACK_RAW_S(A, a);
FP_TO_INT_S(r, A, SI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_TO_INT_S (r, A, SI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Convert IEEE single to 128bit unsigned integer
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "single.h"
UTItype __fixunssfti(SFtype a)
UTItype
__fixunssfti (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
UTItype r;
FP_UNPACK_RAW_S(A, a);
FP_TO_INT_S(r, A, TI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_TO_INT_S (r, A, TI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "quad.h"
UDItype __fixunstfdi(TFtype a)
UDItype
__fixunstfdi (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
UDItype r;
FP_UNPACK_RAW_Q(A, a);
FP_TO_INT_Q(r, A, DI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_TO_INT_Q (r, A, DI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "quad.h"
USItype __fixunstfsi(TFtype a)
USItype
__fixunstfsi (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
USItype r;
FP_UNPACK_RAW_Q(A, a);
FP_TO_INT_Q(r, A, SI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_TO_INT_Q (r, A, SI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Convert IEEE quad to 128bit unsigned integer
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "quad.h"
UTItype __fixunstfti(TFtype a)
UTItype
__fixunstfti (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
UTItype r;
FP_UNPACK_RAW_Q(A, a);
FP_TO_INT_Q(r, A, TI_BITS, 0);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_TO_INT_Q (r, A, TI_BITS, 0);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "double.h"
DFtype __floatdidf(DItype i)
DFtype
__floatdidf (DItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
DFtype a;
FP_FROM_INT_D(A, i, DI_BITS, UDItype);
FP_PACK_RAW_D(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_D (A, i, DI_BITS, UDItype);
FP_PACK_RAW_D (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
SFtype __floatdisf(DItype i)
SFtype
__floatdisf (DItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
SFtype a;
FP_FROM_INT_S(A, i, DI_BITS, UDItype);
FP_PACK_RAW_S(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_S (A, i, DI_BITS, UDItype);
FP_PACK_RAW_S (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -28,18 +28,18 @@
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define FP_NO_EXCEPTIONS
#include "soft-fp.h"
#include "quad.h"
TFtype __floatditf(DItype i)
TFtype
__floatditf (DItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
TFtype a;
FP_FROM_INT_Q(A, i, DI_BITS, UDItype);
FP_PACK_RAW_Q(a, A);
FP_HANDLE_EXCEPTIONS;
FP_FROM_INT_Q (A, i, DI_BITS, UDItype);
FP_PACK_RAW_Q (a, A);
return a;
}
......@@ -28,18 +28,18 @@
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define FP_NO_EXCEPTIONS
#include "soft-fp.h"
#include "double.h"
DFtype __floatsidf(SItype i)
DFtype
__floatsidf (SItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
DFtype a;
FP_FROM_INT_D(A, i, SI_BITS, USItype);
FP_PACK_RAW_D(a, A);
FP_HANDLE_EXCEPTIONS;
FP_FROM_INT_D (A, i, SI_BITS, USItype);
FP_PACK_RAW_D (a, A);
return a;
}
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
SFtype __floatsisf(SItype i)
SFtype
__floatsisf (SItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
SFtype a;
FP_FROM_INT_S(A, i, SI_BITS, USItype);
FP_PACK_RAW_S(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_S (A, i, SI_BITS, USItype);
FP_PACK_RAW_S (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -28,18 +28,18 @@
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define FP_NO_EXCEPTIONS
#include "soft-fp.h"
#include "quad.h"
TFtype __floatsitf(SItype i)
TFtype
__floatsitf (SItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
TFtype a;
FP_FROM_INT_Q(A, i, SI_BITS, USItype);
FP_PACK_RAW_Q(a, A);
FP_HANDLE_EXCEPTIONS;
FP_FROM_INT_Q (A, i, SI_BITS, USItype);
FP_PACK_RAW_Q (a, A);
return a;
}
/* Software floating-point emulation.
Convert a 128bit signed integer to IEEE double
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "double.h"
DFtype __floattidf(TItype i)
DFtype
__floattidf (TItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
DFtype a;
FP_FROM_INT_D(A, i, TI_BITS, UTItype);
FP_PACK_RAW_D(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_D (A, i, TI_BITS, UTItype);
FP_PACK_RAW_D (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
/* Software floating-point emulation.
Convert a 128bit signed integer to IEEE single
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "single.h"
SFtype __floattisf(TItype i)
SFtype
__floattisf (TItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
SFtype a;
FP_FROM_INT_S(A, i, TI_BITS, UTItype);
FP_PACK_RAW_S(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_S (A, i, TI_BITS, UTItype);
FP_PACK_RAW_S (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
/* Software floating-point emulation.
Convert a 128bit signed integer to IEEE quad
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "quad.h"
TFtype __floattitf(TItype i)
TFtype
__floattitf (TItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
TFtype a;
FP_FROM_INT_Q(A, i, TI_BITS, UTItype);
FP_PACK_RAW_Q(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_Q (A, i, TI_BITS, UTItype);
FP_PACK_RAW_Q (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "double.h"
DFtype __floatundidf(UDItype i)
DFtype
__floatundidf (UDItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
DFtype a;
FP_FROM_INT_D(A, i, DI_BITS, UDItype);
FP_PACK_RAW_D(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_D (A, i, DI_BITS, UDItype);
FP_PACK_RAW_D (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
SFtype __floatundisf(UDItype i)
SFtype
__floatundisf (UDItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
SFtype a;
FP_FROM_INT_S(A, i, DI_BITS, UDItype);
FP_PACK_RAW_S(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_S (A, i, DI_BITS, UDItype);
FP_PACK_RAW_S (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -28,19 +28,18 @@
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define FP_NO_EXCEPTIONS
#include "soft-fp.h"
#include "quad.h"
TFtype
__floatunditf(UDItype i)
__floatunditf (UDItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
TFtype a;
FP_FROM_INT_Q(A, i, DI_BITS, UDItype);
FP_PACK_RAW_Q(a, A);
FP_HANDLE_EXCEPTIONS;
FP_FROM_INT_Q (A, i, DI_BITS, UDItype);
FP_PACK_RAW_Q (a, A);
return a;
}
......@@ -28,18 +28,18 @@
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define FP_NO_EXCEPTIONS
#include "soft-fp.h"
#include "double.h"
DFtype __floatunsidf(USItype i)
DFtype
__floatunsidf (USItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
DFtype a;
FP_FROM_INT_D(A, i, SI_BITS, USItype);
FP_PACK_RAW_D(a, A);
FP_HANDLE_EXCEPTIONS;
FP_FROM_INT_D (A, i, SI_BITS, USItype);
FP_PACK_RAW_D (a, A);
return a;
}
......@@ -31,14 +31,16 @@
#include "soft-fp.h"
#include "single.h"
SFtype __floatunsisf(USItype i)
SFtype
__floatunsisf (USItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
SFtype a;
FP_FROM_INT_S(A, i, SI_BITS, USItype);
FP_PACK_RAW_S(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_S (A, i, SI_BITS, USItype);
FP_PACK_RAW_S (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -28,19 +28,18 @@
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#define FP_NO_EXCEPTIONS
#include "soft-fp.h"
#include "quad.h"
TFtype
__floatunsitf(USItype i)
__floatunsitf (USItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
TFtype a;
FP_FROM_INT_Q(A, i, SI_BITS, USItype);
FP_PACK_RAW_Q(a, A);
FP_HANDLE_EXCEPTIONS;
FP_FROM_INT_Q (A, i, SI_BITS, USItype);
FP_PACK_RAW_Q (a, A);
return a;
}
/* Software floating-point emulation.
Convert a 128bit unsigned integer to IEEE double
Copyright (C) 1997,1999, 2006 Free Software Foundation, Inc.
Copyright (C) 1997-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "double.h"
DFtype __floatuntidf(UTItype i)
DFtype
__floatuntidf (UTItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_D (A);
DFtype a;
FP_FROM_INT_D(A, i, TI_BITS, UTItype);
FP_PACK_RAW_D(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_D (A, i, TI_BITS, UTItype);
FP_PACK_RAW_D (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
/* Software floating-point emulation.
Convert a 128bit unsigned integer to IEEE single
Copyright (C) 2007, 2008 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "single.h"
SFtype __floatuntisf(UTItype i)
SFtype
__floatuntisf (UTItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
FP_DECL_S (A);
SFtype a;
FP_FROM_INT_S(A, i, TI_BITS, UTItype);
FP_PACK_RAW_S(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_S (A, i, TI_BITS, UTItype);
FP_PACK_RAW_S (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
/* Software floating-point emulation.
Convert a 128bit unsigned integer to IEEE quad
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,21 +24,22 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "quad.h"
TFtype __floatuntitf(UTItype i)
TFtype
__floatuntitf (UTItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_Q (A);
TFtype a;
FP_FROM_INT_Q(A, i, TI_BITS, UTItype);
FP_PACK_RAW_Q(a, A);
FP_INIT_ROUNDMODE;
FP_FROM_INT_Q (A, i, TI_BITS, UTItype);
FP_PACK_RAW_Q (a, A);
FP_HANDLE_EXCEPTIONS;
return a;
......
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "double.h"
CMPtype __gedf2(DFtype a, DFtype b)
CMPtype
__gedf2 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B);
FP_DECL_D (A);
FP_DECL_D (B);
CMPtype r;
FP_UNPACK_RAW_D(A, a);
FP_UNPACK_RAW_D(B, b);
FP_CMP_D(r, A, B, -2);
if (r == -2 && (FP_ISSIGNAN_D(A) || FP_ISSIGNAN_D(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_UNPACK_RAW_D (B, b);
FP_CMP_D (r, A, B, -2);
if (r == -2)
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__gedf2, __gtdf2);
strong_alias (__gedf2, __gtdf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "single.h"
CMPtype __gesf2(SFtype a, SFtype b)
CMPtype
__gesf2 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B);
FP_DECL_S (A);
FP_DECL_S (B);
CMPtype r;
FP_UNPACK_RAW_S(A, a);
FP_UNPACK_RAW_S(B, b);
FP_CMP_S(r, A, B, -2);
if (r == -2 && (FP_ISSIGNAN_S(A) || FP_ISSIGNAN_S(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_UNPACK_RAW_S (B, b);
FP_CMP_S (r, A, B, -2);
if (r == -2)
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__gesf2, __gtsf2);
strong_alias (__gesf2, __gtsf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "quad.h"
CMPtype __getf2(TFtype a, TFtype b)
CMPtype
__getf2 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B);
FP_DECL_Q (A);
FP_DECL_Q (B);
CMPtype r;
FP_UNPACK_RAW_Q(A, a);
FP_UNPACK_RAW_Q(B, b);
FP_CMP_Q(r, A, B, -2);
if (r == -2 && (FP_ISSIGNAN_Q(A) || FP_ISSIGNAN_Q(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_UNPACK_RAW_Q (B, b);
FP_CMP_Q (r, A, B, -2);
if (r == -2)
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__getf2, __gttf2);
strong_alias (__getf2, __gttf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "double.h"
CMPtype __ledf2(DFtype a, DFtype b)
CMPtype
__ledf2 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B);
FP_DECL_D (A);
FP_DECL_D (B);
CMPtype r;
FP_UNPACK_RAW_D(A, a);
FP_UNPACK_RAW_D(B, b);
FP_CMP_D(r, A, B, 2);
if (r == 2 && (FP_ISSIGNAN_D(A) || FP_ISSIGNAN_D(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_UNPACK_RAW_D (B, b);
FP_CMP_D (r, A, B, 2);
if (r == 2)
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__ledf2, __ltdf2);
strong_alias (__ledf2, __ltdf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "single.h"
CMPtype __lesf2(SFtype a, SFtype b)
CMPtype
__lesf2 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B);
FP_DECL_S (A);
FP_DECL_S (B);
CMPtype r;
FP_UNPACK_RAW_S(A, a);
FP_UNPACK_RAW_S(B, b);
FP_CMP_S(r, A, B, 2);
if (r == 2 && (FP_ISSIGNAN_S(A) || FP_ISSIGNAN_S(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_UNPACK_RAW_S (B, b);
FP_CMP_S (r, A, B, 2);
if (r == 2)
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__lesf2, __ltsf2);
strong_alias (__lesf2, __ltsf2);
......@@ -31,20 +31,23 @@
#include "soft-fp.h"
#include "quad.h"
CMPtype __letf2(TFtype a, TFtype b)
CMPtype
__letf2 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B);
FP_DECL_Q (A);
FP_DECL_Q (B);
CMPtype r;
FP_UNPACK_RAW_Q(A, a);
FP_UNPACK_RAW_Q(B, b);
FP_CMP_Q(r, A, B, 2);
if (r == 2 && (FP_ISSIGNAN_Q(A) || FP_ISSIGNAN_Q(B)))
FP_SET_EXCEPTION(FP_EX_INVALID);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_UNPACK_RAW_Q (B, b);
FP_CMP_Q (r, A, B, 2);
if (r == 2)
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
strong_alias(__letf2, __lttf2);
strong_alias (__letf2, __lttf2);
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "double.h"
DFtype __muldf3(DFtype a, DFtype b)
DFtype
__muldf3 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B); FP_DECL_D(R);
FP_DECL_D (A);
FP_DECL_D (B);
FP_DECL_D (R);
DFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_D(A, a);
FP_UNPACK_D(B, b);
FP_MUL_D(R, A, B);
FP_PACK_D(r, R);
FP_UNPACK_D (A, a);
FP_UNPACK_D (B, b);
FP_MUL_D (R, A, B);
FP_PACK_D (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "single.h"
SFtype __mulsf3(SFtype a, SFtype b)
SFtype
__mulsf3 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B); FP_DECL_S(R);
FP_DECL_S (A);
FP_DECL_S (B);
FP_DECL_S (R);
SFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_S(A, a);
FP_UNPACK_S(B, b);
FP_MUL_S(R, A, B);
FP_PACK_S(r, R);
FP_UNPACK_S (A, a);
FP_UNPACK_S (B, b);
FP_MUL_S (R, A, B);
FP_PACK_S (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "quad.h"
TFtype __multf3(TFtype a, TFtype b)
TFtype
__multf3 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B); FP_DECL_Q(R);
FP_DECL_Q (A);
FP_DECL_Q (B);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_Q(A, a);
FP_UNPACK_Q(B, b);
FP_MUL_Q(R, A, B);
FP_PACK_Q(r, R);
FP_UNPACK_Q (A, a);
FP_UNPACK_Q (B, b);
FP_MUL_Q (R, A, B);
FP_PACK_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,16 @@
#include "soft-fp.h"
#include "double.h"
DFtype __negdf2(DFtype a)
DFtype
__negdf2 (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(R);
FP_DECL_D (A);
FP_DECL_D (R);
DFtype r;
FP_UNPACK_D(A, a);
FP_NEG_D(R, A);
FP_PACK_D(r, R);
FP_CLEAR_EXCEPTIONS;
FP_HANDLE_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_NEG_D (R, A);
FP_PACK_RAW_D (r, R);
return r;
}
......@@ -31,17 +31,16 @@
#include "soft-fp.h"
#include "single.h"
SFtype __negsf2(SFtype a)
SFtype
__negsf2 (SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(R);
FP_DECL_S (A);
FP_DECL_S (R);
SFtype r;
FP_UNPACK_S(A, a);
FP_NEG_S(R, A);
FP_PACK_S(r, R);
FP_CLEAR_EXCEPTIONS;
FP_HANDLE_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_NEG_S (R, A);
FP_PACK_RAW_S (r, R);
return r;
}
......@@ -31,17 +31,16 @@
#include "soft-fp.h"
#include "quad.h"
TFtype __negtf2(TFtype a)
TFtype
__negtf2 (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(R);
FP_DECL_Q (A);
FP_DECL_Q (R);
TFtype r;
FP_UNPACK_Q(A, a);
FP_NEG_Q(R, A);
FP_PACK_Q(r, R);
FP_CLEAR_EXCEPTIONS;
FP_HANDLE_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_NEG_Q (R, A);
FP_PACK_RAW_Q (r, R);
return r;
}
......@@ -31,103 +31,117 @@
<http://www.gnu.org/licenses/>. */
#define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f
#define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f)
#define _FP_FRAC_SET_1(X,I) (X##_f = I)
#define _FP_FRAC_COPY_1(D, S) (D##_f = S##_f)
#define _FP_FRAC_SET_1(X, I) (X##_f = I)
#define _FP_FRAC_HIGH_1(X) (X##_f)
#define _FP_FRAC_LOW_1(X) (X##_f)
#define _FP_FRAC_WORD_1(X,w) (X##_f)
#define _FP_FRAC_ADDI_1(X,I) (X##_f += I)
#define _FP_FRAC_SLL_1(X,N) \
do { \
if (__builtin_constant_p(N) && (N) == 1) \
X##_f += X##_f; \
else \
X##_f <<= (N); \
} while (0)
#define _FP_FRAC_SRL_1(X,N) (X##_f >>= N)
#define _FP_FRAC_WORD_1(X, w) (X##_f)
#define _FP_FRAC_ADDI_1(X, I) (X##_f += I)
#define _FP_FRAC_SLL_1(X, N) \
do \
{ \
if (__builtin_constant_p (N) && (N) == 1) \
X##_f += X##_f; \
else \
X##_f <<= (N); \
} \
while (0)
#define _FP_FRAC_SRL_1(X, N) (X##_f >>= N)
/* Right shift with sticky-lsb. */
#define _FP_FRAC_SRST_1(X,S,N,sz) __FP_FRAC_SRST_1(X##_f, S, N, sz)
#define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz)
#define __FP_FRAC_SRST_1(X,S,N,sz) \
do { \
S = (__builtin_constant_p(N) && (N) == 1 \
? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0); \
X = X >> (N); \
} while (0)
#define __FP_FRAC_SRS_1(X,N,sz) \
(X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \
? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0)))
#define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f)
#define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f)
#define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f)
#define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f)
#define _FP_FRAC_SRST_1(X, S, N, sz) __FP_FRAC_SRST_1 (X##_f, S, N, sz)
#define _FP_FRAC_SRS_1(X, N, sz) __FP_FRAC_SRS_1 (X##_f, N, sz)
#define __FP_FRAC_SRST_1(X, S, N, sz) \
do \
{ \
S = (__builtin_constant_p (N) && (N) == 1 \
? X & 1 \
: (X << (_FP_W_TYPE_SIZE - (N))) != 0); \
X = X >> (N); \
} \
while (0)
#define __FP_FRAC_SRS_1(X, N, sz) \
(X = (X >> (N) | (__builtin_constant_p (N) && (N) == 1 \
? X & 1 \
: (X << (_FP_W_TYPE_SIZE - (N))) != 0)))
#define _FP_FRAC_ADD_1(R, X, Y) (R##_f = X##_f + Y##_f)
#define _FP_FRAC_SUB_1(R, X, Y) (R##_f = X##_f - Y##_f)
#define _FP_FRAC_DEC_1(X, Y) (X##_f -= Y##_f)
#define _FP_FRAC_CLZ_1(z, X) __FP_CLZ (z, X##_f)
/* Predicates */
#define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0)
#define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE) X##_f < 0)
#define _FP_FRAC_ZEROP_1(X) (X##_f == 0)
#define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs)
#define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs)
#define _FP_FRAC_OVERP_1(fs, X) (X##_f & _FP_OVERFLOW_##fs)
#define _FP_FRAC_CLEAR_OVERP_1(fs, X) (X##_f &= ~_FP_OVERFLOW_##fs)
#define _FP_FRAC_HIGHBIT_DW_1(fs, X) (X##_f & _FP_HIGHBIT_DW_##fs)
#define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f)
#define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f)
#define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f)
#define _FP_ZEROFRAC_1 0
#define _FP_MINFRAC_1 1
#define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0)
#define _FP_MAXFRAC_1 (~(_FP_WS_TYPE) 0)
/*
* Unpack the raw bits of a native fp value. Do not classify or
* normalize the data.
*/
#define _FP_UNPACK_RAW_1(fs, X, val) \
do { \
union _FP_UNION_##fs _flo; _flo.flt = (val); \
\
X##_f = _flo.bits.frac; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} while (0)
#define _FP_UNPACK_RAW_1_P(fs, X, val) \
do { \
union _FP_UNION_##fs *_flo = \
(union _FP_UNION_##fs *)(val); \
\
X##_f = _flo->bits.frac; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} while (0)
#define _FP_UNPACK_RAW_1(fs, X, val) \
do \
{ \
union _FP_UNION_##fs _flo; \
_flo.flt = (val); \
\
X##_f = _flo.bits.frac; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} \
while (0)
#define _FP_UNPACK_RAW_1_P(fs, X, val) \
do \
{ \
union _FP_UNION_##fs *_flo = (union _FP_UNION_##fs *) (val); \
\
X##_f = _flo->bits.frac; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} \
while (0)
/*
* Repack the raw bits of a native fp value.
*/
#define _FP_PACK_RAW_1(fs, val, X) \
do { \
union _FP_UNION_##fs _flo; \
\
_flo.bits.frac = X##_f; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} while (0)
#define _FP_PACK_RAW_1_P(fs, val, X) \
do { \
union _FP_UNION_##fs *_flo = \
(union _FP_UNION_##fs *)(val); \
\
_flo->bits.frac = X##_f; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} while (0)
#define _FP_PACK_RAW_1(fs, val, X) \
do \
{ \
union _FP_UNION_##fs _flo; \
\
_flo.bits.frac = X##_f; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} \
while (0)
#define _FP_PACK_RAW_1_P(fs, val, X) \
do \
{ \
union _FP_UNION_##fs *_flo = (union _FP_UNION_##fs *) (val); \
\
_flo->bits.frac = X##_f; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
while (0)
/*
......@@ -137,57 +151,86 @@ do { \
/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the
multiplication immediately. */
#define _FP_MUL_MEAT_DW_1_imm(wfracbits, R, X, Y) \
do \
{ \
R##_f = X##_f * Y##_f; \
} \
while (0)
#define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \
do { \
R##_f = X##_f * Y##_f; \
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \
} while (0)
do \
{ \
_FP_MUL_MEAT_DW_1_imm (wfracbits, R, X, Y); \
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_1 (R, wfracbits-1, 2*wfracbits); \
} \
while (0)
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
#define _FP_MUL_MEAT_DW_1_wide(wfracbits, R, X, Y, doit) \
do \
{ \
doit (R##_f1, R##_f0, X##_f, Y##_f); \
} \
while (0)
#define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \
do { \
_FP_W_TYPE _Z_f0, _Z_f1; \
doit(_Z_f1, _Z_f0, X##_f, Y##_f); \
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \
R##_f = _Z_f0; \
} while (0)
do \
{ \
_FP_FRAC_DECL_2 (_Z); \
_FP_MUL_MEAT_DW_1_wide (wfracbits, _Z, X, Y, doit); \
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_2 (_Z, wfracbits-1, 2*wfracbits); \
R##_f = _Z_f0; \
} \
while (0)
/* Finally, a simple widening multiply algorithm. What fun! */
#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \
do { \
_FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \
\
/* split the words in half */ \
_xh = X##_f >> (_FP_W_TYPE_SIZE/2); \
_xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \
_yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \
_yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \
#define _FP_MUL_MEAT_DW_1_hard(wfracbits, R, X, Y) \
do \
{ \
_FP_W_TYPE _xh, _xl, _yh, _yl; \
_FP_FRAC_DECL_2 (_a); \
\
/* multiply the pieces */ \
_z_f0 = _xl * _yl; \
_a_f0 = _xh * _yl; \
_a_f1 = _xl * _yh; \
_z_f1 = _xh * _yh; \
/* split the words in half */ \
_xh = X##_f >> (_FP_W_TYPE_SIZE/2); \
_xl = X##_f & (((_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE/2)) - 1); \
_yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \
_yl = Y##_f & (((_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE/2)) - 1); \
\
/* reassemble into two full words */ \
if ((_a_f0 += _a_f1) < _a_f1) \
_z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \
_a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \
_a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \
_FP_FRAC_ADD_2(_z, _z, _a); \
/* multiply the pieces */ \
R##_f0 = _xl * _yl; \
_a_f0 = _xh * _yl; \
_a_f1 = _xl * _yh; \
R##_f1 = _xh * _yh; \
\
/* normalize */ \
_FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \
R##_f = _z_f0; \
} while (0)
/* reassemble into two full words */ \
if ((_a_f0 += _a_f1) < _a_f1) \
R##_f1 += (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE/2); \
_a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \
_a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \
_FP_FRAC_ADD_2 (R, R, _a); \
} \
while (0)
#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \
do \
{ \
_FP_FRAC_DECL_2 (_z); \
_FP_MUL_MEAT_DW_1_hard (wfracbits, _z, X, Y); \
\
/* normalize */ \
_FP_FRAC_SRS_2 (_z, wfracbits - 1, 2*wfracbits); \
R##_f = _z_f0; \
} \
while (0)
/*
......@@ -199,15 +242,17 @@ do { \
C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you
choose will depend on what the compiler does with divrem4. */
#define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \
do { \
_FP_W_TYPE _q, _r; \
X##_f <<= (X##_f < Y##_f \
? R##_e--, _FP_WFRACBITS_##fs \
: _FP_WFRACBITS_##fs - 1); \
doit(_q, _r, X##_f, Y##_f); \
R##_f = _q | (_r != 0); \
} while (0)
#define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \
do \
{ \
_FP_W_TYPE _q, _r; \
X##_f <<= (X##_f < Y##_f \
? R##_e--, _FP_WFRACBITS_##fs \
: _FP_WFRACBITS_##fs - 1); \
doit (_q, _r, X##_f, Y##_f); \
R##_f = _q | (_r != 0); \
} \
while (0)
/* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd
that may be useful in this situation. This first is for a primitive
......@@ -215,46 +260,50 @@ do { \
for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */
#define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \
do { \
_FP_W_TYPE _nh, _nl, _q, _r, _y; \
do \
{ \
_FP_W_TYPE _nh, _nl, _q, _r, _y; \
\
/* Normalize Y -- i.e. make the most significant bit set. */ \
_y = Y##_f << _FP_WFRACXBITS_##fs; \
/* Normalize Y -- i.e. make the most significant bit set. */ \
_y = Y##_f << _FP_WFRACXBITS_##fs; \
\
/* Shift X op correspondingly high, that is, up one full word. */ \
if (X##_f < Y##_f) \
{ \
R##_e--; \
_nl = 0; \
_nh = X##_f; \
} \
else \
{ \
_nl = X##_f << (_FP_W_TYPE_SIZE - 1); \
_nh = X##_f >> 1; \
} \
/* Shift X op correspondingly high, that is, up one full word. */ \
if (X##_f < Y##_f) \
{ \
R##_e--; \
_nl = 0; \
_nh = X##_f; \
} \
else \
{ \
_nl = X##_f << (_FP_W_TYPE_SIZE - 1); \
_nh = X##_f >> 1; \
} \
\
udiv_qrnnd(_q, _r, _nh, _nl, _y); \
R##_f = _q | (_r != 0); \
} while (0)
udiv_qrnnd (_q, _r, _nh, _nl, _y); \
R##_f = _q | (_r != 0); \
} \
while (0)
#define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \
do { \
_FP_W_TYPE _nh, _nl, _q, _r; \
if (X##_f < Y##_f) \
{ \
R##_e--; \
_nl = X##_f << _FP_WFRACBITS_##fs; \
_nh = X##_f >> _FP_WFRACXBITS_##fs; \
} \
else \
{ \
_nl = X##_f << (_FP_WFRACBITS_##fs - 1); \
_nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \
} \
udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \
R##_f = _q | (_r != 0); \
} while (0)
do \
{ \
_FP_W_TYPE _nh, _nl, _q, _r; \
if (X##_f < Y##_f) \
{ \
R##_e--; \
_nl = X##_f << _FP_WFRACBITS_##fs; \
_nh = X##_f >> _FP_WFRACXBITS_##fs; \
} \
else \
{ \
_nl = X##_f << (_FP_WFRACBITS_##fs - 1); \
_nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \
} \
udiv_qrnnd (_q, _r, _nh, _nl, Y##_f); \
R##_f = _q | (_r != 0); \
} \
while (0)
/*
......@@ -263,27 +312,29 @@ do { \
* should be added for those machines where division is fast.
*/
#define _FP_SQRT_MEAT_1(R, S, T, X, q) \
do { \
while (q != _FP_WORK_ROUND) \
{ \
T##_f = S##_f + q; \
if (T##_f <= X##_f) \
{ \
S##_f = T##_f + q; \
X##_f -= T##_f; \
R##_f += q; \
} \
_FP_FRAC_SLL_1(X, 1); \
q >>= 1; \
} \
if (X##_f) \
{ \
if (S##_f < X##_f) \
R##_f |= _FP_WORK_ROUND; \
R##_f |= _FP_WORK_STICKY; \
} \
} while (0)
#define _FP_SQRT_MEAT_1(R, S, T, X, q) \
do \
{ \
while (q != _FP_WORK_ROUND) \
{ \
T##_f = S##_f + q; \
if (T##_f <= X##_f) \
{ \
S##_f = T##_f + q; \
X##_f -= T##_f; \
R##_f += q; \
} \
_FP_FRAC_SLL_1 (X, 1); \
q >>= 1; \
} \
if (X##_f) \
{ \
if (S##_f < X##_f) \
R##_f |= _FP_WORK_ROUND; \
R##_f |= _FP_WORK_STICKY; \
} \
} \
while (0)
/*
* Assembly/disassembly for converting to/from integral types.
......
......@@ -31,109 +31,113 @@
<http://www.gnu.org/licenses/>. */
#define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1
#define _FP_FRAC_COPY_2(D,S) (D##_f0 = S##_f0, D##_f1 = S##_f1)
#define _FP_FRAC_SET_2(X,I) __FP_FRAC_SET_2(X, I)
#define _FP_FRAC_COPY_2(D, S) (D##_f0 = S##_f0, D##_f1 = S##_f1)
#define _FP_FRAC_SET_2(X, I) __FP_FRAC_SET_2 (X, I)
#define _FP_FRAC_HIGH_2(X) (X##_f1)
#define _FP_FRAC_LOW_2(X) (X##_f0)
#define _FP_FRAC_WORD_2(X,w) (X##_f##w)
#define _FP_FRAC_SLL_2(X,N) \
(void)(((N) < _FP_W_TYPE_SIZE) \
? ({ \
if (__builtin_constant_p(N) && (N) == 1) \
{ \
X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE)(X##_f0)) < 0); \
X##_f0 += X##_f0; \
} \
else \
{ \
X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \
X##_f0 <<= (N); \
} \
0; \
}) \
: ({ \
X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \
X##_f0 = 0; \
}))
#define _FP_FRAC_SRL_2(X,N) \
(void)(((N) < _FP_W_TYPE_SIZE) \
? ({ \
X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \
X##_f1 >>= (N); \
}) \
: ({ \
X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \
X##_f1 = 0; \
}))
#define _FP_FRAC_WORD_2(X, w) (X##_f##w)
#define _FP_FRAC_SLL_2(X, N) \
(void) (((N) < _FP_W_TYPE_SIZE) \
? ({ \
if (__builtin_constant_p (N) && (N) == 1) \
{ \
X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE) (X##_f0)) < 0); \
X##_f0 += X##_f0; \
} \
else \
{ \
X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \
X##_f0 <<= (N); \
} \
0; \
}) \
: ({ \
X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \
X##_f0 = 0; \
}))
#define _FP_FRAC_SRL_2(X, N) \
(void) (((N) < _FP_W_TYPE_SIZE) \
? ({ \
X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \
X##_f1 >>= (N); \
}) \
: ({ \
X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \
X##_f1 = 0; \
}))
/* Right shift with sticky-lsb. */
#define _FP_FRAC_SRST_2(X,S, N,sz) \
(void)(((N) < _FP_W_TYPE_SIZE) \
? ({ \
S = (__builtin_constant_p(N) && (N) == 1 \
? X##_f0 & 1 \
: (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0); \
X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N)); \
X##_f1 >>= (N); \
}) \
: ({ \
S = ((((N) == _FP_W_TYPE_SIZE \
? 0 \
: (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \
| X##_f0) != 0); \
X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE)); \
X##_f1 = 0; \
}))
#define _FP_FRAC_SRS_2(X,N,sz) \
(void)(((N) < _FP_W_TYPE_SIZE) \
? ({ \
X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) | \
(__builtin_constant_p(N) && (N) == 1 \
? X##_f0 & 1 \
: (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \
X##_f1 >>= (N); \
}) \
: ({ \
X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) | \
((((N) == _FP_W_TYPE_SIZE \
? 0 \
: (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \
| X##_f0) != 0)); \
X##_f1 = 0; \
}))
#define _FP_FRAC_ADDI_2(X,I) \
__FP_FRAC_ADDI_2(X##_f1, X##_f0, I)
#define _FP_FRAC_ADD_2(R,X,Y) \
__FP_FRAC_ADD_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0)
#define _FP_FRAC_SUB_2(R,X,Y) \
__FP_FRAC_SUB_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0)
#define _FP_FRAC_DEC_2(X,Y) \
__FP_FRAC_DEC_2(X##_f1, X##_f0, Y##_f1, Y##_f0)
#define _FP_FRAC_CLZ_2(R,X) \
do { \
if (X##_f1) \
__FP_CLZ(R,X##_f1); \
else \
{ \
__FP_CLZ(R,X##_f0); \
R += _FP_W_TYPE_SIZE; \
} \
} while(0)
#define _FP_FRAC_SRST_2(X, S, N, sz) \
(void) (((N) < _FP_W_TYPE_SIZE) \
? ({ \
S = (__builtin_constant_p (N) && (N) == 1 \
? X##_f0 & 1 \
: (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0); \
X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N)); \
X##_f1 >>= (N); \
}) \
: ({ \
S = ((((N) == _FP_W_TYPE_SIZE \
? 0 \
: (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \
| X##_f0) != 0); \
X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE)); \
X##_f1 = 0; \
}))
#define _FP_FRAC_SRS_2(X, N, sz) \
(void) (((N) < _FP_W_TYPE_SIZE) \
? ({ \
X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) \
| (__builtin_constant_p (N) && (N) == 1 \
? X##_f0 & 1 \
: (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \
X##_f1 >>= (N); \
}) \
: ({ \
X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) \
| ((((N) == _FP_W_TYPE_SIZE \
? 0 \
: (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \
| X##_f0) != 0)); \
X##_f1 = 0; \
}))
#define _FP_FRAC_ADDI_2(X, I) \
__FP_FRAC_ADDI_2 (X##_f1, X##_f0, I)
#define _FP_FRAC_ADD_2(R, X, Y) \
__FP_FRAC_ADD_2 (R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0)
#define _FP_FRAC_SUB_2(R, X, Y) \
__FP_FRAC_SUB_2 (R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0)
#define _FP_FRAC_DEC_2(X, Y) \
__FP_FRAC_DEC_2 (X##_f1, X##_f0, Y##_f1, Y##_f0)
#define _FP_FRAC_CLZ_2(R, X) \
do \
{ \
if (X##_f1) \
__FP_CLZ (R, X##_f1); \
else \
{ \
__FP_CLZ (R, X##_f0); \
R += _FP_W_TYPE_SIZE; \
} \
} \
while (0)
/* Predicates */
#define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE)X##_f1 < 0)
#define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE) X##_f1 < 0)
#define _FP_FRAC_ZEROP_2(X) ((X##_f1 | X##_f0) == 0)
#define _FP_FRAC_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs)
#define _FP_FRAC_CLEAR_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs)
#define _FP_FRAC_OVERP_2(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs)
#define _FP_FRAC_CLEAR_OVERP_2(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs)
#define _FP_FRAC_HIGHBIT_DW_2(fs, X) \
(_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs)
#define _FP_FRAC_EQ_2(X, Y) (X##_f1 == Y##_f1 && X##_f0 == Y##_f0)
#define _FP_FRAC_GT_2(X, Y) \
(X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 > Y##_f0))
......@@ -142,57 +146,62 @@
#define _FP_ZEROFRAC_2 0, 0
#define _FP_MINFRAC_2 0, 1
#define _FP_MAXFRAC_2 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0)
#define _FP_MAXFRAC_2 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0)
/*
* Internals
*/
#define __FP_FRAC_SET_2(X,I1,I0) (X##_f0 = I0, X##_f1 = I1)
#define __FP_CLZ_2(R, xh, xl) \
do { \
if (xh) \
__FP_CLZ(R,xh); \
else \
{ \
__FP_CLZ(R,xl); \
R += _FP_W_TYPE_SIZE; \
} \
} while(0)
#define __FP_FRAC_SET_2(X, I1, I0) (X##_f0 = I0, X##_f1 = I1)
#define __FP_CLZ_2(R, xh, xl) \
do \
{ \
if (xh) \
__FP_CLZ (R, xh); \
else \
{ \
__FP_CLZ (R, xl); \
R += _FP_W_TYPE_SIZE; \
} \
} \
while (0)
#if 0
#ifndef __FP_FRAC_ADDI_2
#define __FP_FRAC_ADDI_2(xh, xl, i) \
# ifndef __FP_FRAC_ADDI_2
# define __FP_FRAC_ADDI_2(xh, xl, i) \
(xh += ((xl += i) < i))
#endif
#ifndef __FP_FRAC_ADD_2
#define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \
# endif
# ifndef __FP_FRAC_ADD_2
# define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \
(rh = xh + yh + ((rl = xl + yl) < xl))
#endif
#ifndef __FP_FRAC_SUB_2
#define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \
# endif
# ifndef __FP_FRAC_SUB_2
# define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \
(rh = xh - yh - ((rl = xl - yl) > xl))
#endif
#ifndef __FP_FRAC_DEC_2
#define __FP_FRAC_DEC_2(xh, xl, yh, yl) \
do { \
UWtype _t = xl; \
xh -= yh + ((xl -= yl) > _t); \
} while (0)
#endif
# endif
# ifndef __FP_FRAC_DEC_2
# define __FP_FRAC_DEC_2(xh, xl, yh, yl) \
do \
{ \
UWtype _t = xl; \
xh -= yh + ((xl -= yl) > _t); \
} \
while (0)
# endif
#else
#undef __FP_FRAC_ADDI_2
#define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa(xh, xl, xh, xl, 0, i)
#undef __FP_FRAC_ADD_2
#define __FP_FRAC_ADD_2 add_ssaaaa
#undef __FP_FRAC_SUB_2
#define __FP_FRAC_SUB_2 sub_ddmmss
#undef __FP_FRAC_DEC_2
#define __FP_FRAC_DEC_2(xh, xl, yh, yl) sub_ddmmss(xh, xl, xh, xl, yh, yl)
# undef __FP_FRAC_ADDI_2
# define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa (xh, xl, xh, xl, 0, i)
# undef __FP_FRAC_ADD_2
# define __FP_FRAC_ADD_2 add_ssaaaa
# undef __FP_FRAC_SUB_2
# define __FP_FRAC_SUB_2 sub_ddmmss
# undef __FP_FRAC_DEC_2
# define __FP_FRAC_DEC_2(xh, xl, yh, yl) \
sub_ddmmss (xh, xl, xh, xl, yh, yl)
#endif
......@@ -201,54 +210,61 @@
* normalize the data.
*/
#define _FP_UNPACK_RAW_2(fs, X, val) \
do { \
union _FP_UNION_##fs _flo; _flo.flt = (val); \
\
X##_f0 = _flo.bits.frac0; \
X##_f1 = _flo.bits.frac1; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} while (0)
#define _FP_UNPACK_RAW_2_P(fs, X, val) \
do { \
union _FP_UNION_##fs *_flo = \
(union _FP_UNION_##fs *)(val); \
\
X##_f0 = _flo->bits.frac0; \
X##_f1 = _flo->bits.frac1; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} while (0)
#define _FP_UNPACK_RAW_2(fs, X, val) \
do \
{ \
union _FP_UNION_##fs _flo; \
_flo.flt = (val); \
\
X##_f0 = _flo.bits.frac0; \
X##_f1 = _flo.bits.frac1; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} \
while (0)
#define _FP_UNPACK_RAW_2_P(fs, X, val) \
do \
{ \
union _FP_UNION_##fs *_flo = (union _FP_UNION_##fs *) (val); \
\
X##_f0 = _flo->bits.frac0; \
X##_f1 = _flo->bits.frac1; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} \
while (0)
/*
* Repack the raw bits of a native fp value.
*/
#define _FP_PACK_RAW_2(fs, val, X) \
do { \
union _FP_UNION_##fs _flo; \
\
_flo.bits.frac0 = X##_f0; \
_flo.bits.frac1 = X##_f1; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} while (0)
#define _FP_PACK_RAW_2_P(fs, val, X) \
do { \
union _FP_UNION_##fs *_flo = \
(union _FP_UNION_##fs *)(val); \
\
_flo->bits.frac0 = X##_f0; \
_flo->bits.frac1 = X##_f1; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} while (0)
#define _FP_PACK_RAW_2(fs, val, X) \
do \
{ \
union _FP_UNION_##fs _flo; \
\
_flo.bits.frac0 = X##_f0; \
_flo.bits.frac1 = X##_f1; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
\
(val) = _flo.flt; \
} \
while (0)
#define _FP_PACK_RAW_2_P(fs, val, X) \
do \
{ \
union _FP_UNION_##fs *_flo = (union _FP_UNION_##fs *) (val); \
\
_flo->bits.frac0 = X##_f0; \
_flo->bits.frac1 = X##_f1; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
while (0)
/*
......@@ -257,92 +273,128 @@
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
#define _FP_MUL_MEAT_2_wide(wfracbits, R, X, Y, doit) \
do { \
_FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \
#define _FP_MUL_MEAT_DW_2_wide(wfracbits, R, X, Y, doit) \
do \
{ \
_FP_FRAC_DECL_2 (_b); \
_FP_FRAC_DECL_2 (_c); \
\
doit (_FP_FRAC_WORD_4 (R, 1), _FP_FRAC_WORD_4 (R, 0), X##_f0, Y##_f0); \
doit (_b_f1, _b_f0, X##_f0, Y##_f1); \
doit (_c_f1, _c_f0, X##_f1, Y##_f0); \
doit (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), X##_f1, Y##_f1); \
\
doit(_FP_FRAC_WORD_4(_z,1), _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \
doit(_b_f1, _b_f0, X##_f0, Y##_f1); \
doit(_c_f1, _c_f0, X##_f1, Y##_f0); \
doit(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), X##_f1, Y##_f1); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1), 0, _b_f1, _b_f0, \
_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1), 0, _c_f1, _c_f0, \
_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1)); \
} \
while (0)
#define _FP_MUL_MEAT_2_wide(wfracbits, R, X, Y, doit) \
do \
{ \
_FP_FRAC_DECL_4 (_z); \
\
__FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1), 0, _b_f1, _b_f0, \
_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0, \
_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1)); \
_FP_MUL_MEAT_DW_2_wide (wfracbits, _z, X, Y, doit); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \
R##_f0 = _FP_FRAC_WORD_4(_z,0); \
R##_f1 = _FP_FRAC_WORD_4(_z,1); \
} while (0)
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_4 (_z, wfracbits-1, 2*wfracbits); \
R##_f0 = _FP_FRAC_WORD_4 (_z, 0); \
R##_f1 = _FP_FRAC_WORD_4 (_z, 1); \
} \
while (0)
/* Given a 1W * 1W => 2W primitive, do the extended multiplication.
Do only 3 multiplications instead of four. This one is for machines
where multiplication is much more expensive than subtraction. */
#define _FP_MUL_MEAT_2_wide_3mul(wfracbits, R, X, Y, doit) \
do { \
_FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \
_FP_W_TYPE _d; \
int _c1, _c2; \
#define _FP_MUL_MEAT_DW_2_wide_3mul(wfracbits, R, X, Y, doit) \
do \
{ \
_FP_FRAC_DECL_2 (_b); \
_FP_FRAC_DECL_2 (_c); \
_FP_W_TYPE _d; \
int _c1, _c2; \
\
_b_f0 = X##_f0 + X##_f1; \
_c1 = _b_f0 < X##_f0; \
_b_f1 = Y##_f0 + Y##_f1; \
_c2 = _b_f1 < Y##_f0; \
doit(_d, _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \
doit(_FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1), _b_f0, _b_f1); \
doit(_c_f1, _c_f0, X##_f1, Y##_f1); \
_b_f0 = X##_f0 + X##_f1; \
_c1 = _b_f0 < X##_f0; \
_b_f1 = Y##_f0 + Y##_f1; \
_c2 = _b_f1 < Y##_f0; \
doit (_d, _FP_FRAC_WORD_4 (R, 0), X##_f0, Y##_f0); \
doit (_FP_FRAC_WORD_4 (R, 2), _FP_FRAC_WORD_4 (R, 1), _b_f0, _b_f1); \
doit (_c_f1, _c_f0, X##_f1, Y##_f1); \
\
_b_f0 &= -_c2; \
_b_f1 &= -_c1; \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1), (_c1 & _c2), 0, _d, \
0, _FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1)); \
__FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_b_f0); \
__FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_b_f1); \
__FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1), \
0, _d, _FP_FRAC_WORD_4(_z,0)); \
__FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \
_FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0); \
__FP_FRAC_ADD_2(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), \
_c_f1, _c_f0, \
_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2)); \
_b_f0 &= -_c2; \
_b_f1 &= -_c1; \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1), (_c1 & _c2), 0, _d, \
0, _FP_FRAC_WORD_4 (R, 2), _FP_FRAC_WORD_4 (R, 1)); \
__FP_FRAC_ADDI_2 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_b_f0); \
__FP_FRAC_ADDI_2 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_b_f1); \
__FP_FRAC_DEC_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1), \
0, _d, _FP_FRAC_WORD_4 (R, 0)); \
__FP_FRAC_DEC_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_FP_FRAC_WORD_4 (R, 1), 0, _c_f1, _c_f0); \
__FP_FRAC_ADD_2 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \
_c_f1, _c_f0, \
_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2)); \
} \
while (0)
#define _FP_MUL_MEAT_2_wide_3mul(wfracbits, R, X, Y, doit) \
do \
{ \
_FP_FRAC_DECL_4 (_z); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \
R##_f0 = _FP_FRAC_WORD_4(_z,0); \
R##_f1 = _FP_FRAC_WORD_4(_z,1); \
} while (0)
_FP_MUL_MEAT_DW_2_wide_3mul (wfracbits, _z, X, Y, doit); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_4 (_z, wfracbits-1, 2*wfracbits); \
R##_f0 = _FP_FRAC_WORD_4 (_z, 0); \
R##_f1 = _FP_FRAC_WORD_4 (_z, 1); \
} \
while (0)
#define _FP_MUL_MEAT_DW_2_gmp(wfracbits, R, X, Y) \
do \
{ \
_FP_W_TYPE _x[2], _y[2]; \
_x[0] = X##_f0; \
_x[1] = X##_f1; \
_y[0] = Y##_f0; \
_y[1] = Y##_f1; \
\
mpn_mul_n (R##_f, _x, _y, 2); \
} \
while (0)
#define _FP_MUL_MEAT_2_gmp(wfracbits, R, X, Y) \
do { \
_FP_FRAC_DECL_4(_z); \
_FP_W_TYPE _x[2], _y[2]; \
_x[0] = X##_f0; _x[1] = X##_f1; \
_y[0] = Y##_f0; _y[1] = Y##_f1; \
do \
{ \
_FP_FRAC_DECL_4 (_z); \
\
mpn_mul_n(_z_f, _x, _y, 2); \
_FP_MUL_MEAT_DW_2_gmp (wfracbits, _z, X, Y); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \
R##_f0 = _z_f[0]; \
R##_f1 = _z_f[1]; \
} while (0)
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_4 (_z, wfracbits-1, 2*wfracbits); \
R##_f0 = _z_f[0]; \
R##_f1 = _z_f[1]; \
} \
while (0)
/* Do at most 120x120=240 bits multiplication using double floating
point multiplication. This is useful if floating point
......@@ -353,190 +405,173 @@
SETFETZ is a macro which will disable all FPU exceptions and set rounding
towards zero, RESETFE should optionally reset it back. */
#define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \
do { \
static const double _const[] = { \
/* 2^-24 */ 5.9604644775390625e-08, \
/* 2^-48 */ 3.5527136788005009e-15, \
/* 2^-72 */ 2.1175823681357508e-22, \
/* 2^-96 */ 1.2621774483536189e-29, \
/* 2^28 */ 2.68435456e+08, \
/* 2^4 */ 1.600000e+01, \
/* 2^-20 */ 9.5367431640625e-07, \
/* 2^-44 */ 5.6843418860808015e-14, \
/* 2^-68 */ 3.3881317890172014e-21, \
/* 2^-92 */ 2.0194839173657902e-28, \
/* 2^-116 */ 1.2037062152420224e-35}; \
double _a240, _b240, _c240, _d240, _e240, _f240, \
_g240, _h240, _i240, _j240, _k240; \
union { double d; UDItype i; } _l240, _m240, _n240, _o240, \
_p240, _q240, _r240, _s240; \
UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \
\
if (wfracbits < 106 || wfracbits > 120) \
abort(); \
\
setfetz; \
\
_e240 = (double)(long)(X##_f0 & 0xffffff); \
_j240 = (double)(long)(Y##_f0 & 0xffffff); \
_d240 = (double)(long)((X##_f0 >> 24) & 0xffffff); \
_i240 = (double)(long)((Y##_f0 >> 24) & 0xffffff); \
_c240 = (double)(long)(((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \
_h240 = (double)(long)(((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \
_b240 = (double)(long)((X##_f1 >> 8) & 0xffffff); \
_g240 = (double)(long)((Y##_f1 >> 8) & 0xffffff); \
_a240 = (double)(long)(X##_f1 >> 32); \
_f240 = (double)(long)(Y##_f1 >> 32); \
_e240 *= _const[3]; \
_j240 *= _const[3]; \
_d240 *= _const[2]; \
_i240 *= _const[2]; \
_c240 *= _const[1]; \
_h240 *= _const[1]; \
_b240 *= _const[0]; \
_g240 *= _const[0]; \
_s240.d = _e240*_j240;\
_r240.d = _d240*_j240 + _e240*_i240;\
_q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240;\
_p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240;\
_o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240;\
_n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \
_m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \
_l240.d = _a240*_g240 + _b240*_f240; \
_k240 = _a240*_f240; \
_r240.d += _s240.d; \
_q240.d += _r240.d; \
_p240.d += _q240.d; \
_o240.d += _p240.d; \
_n240.d += _o240.d; \
_m240.d += _n240.d; \
_l240.d += _m240.d; \
_k240 += _l240.d; \
_s240.d -= ((_const[10]+_s240.d)-_const[10]); \
_r240.d -= ((_const[9]+_r240.d)-_const[9]); \
_q240.d -= ((_const[8]+_q240.d)-_const[8]); \
_p240.d -= ((_const[7]+_p240.d)-_const[7]); \
_o240.d += _const[7]; \
_n240.d += _const[6]; \
_m240.d += _const[5]; \
_l240.d += _const[4]; \
if (_s240.d != 0.0) _y240 = 1; \
if (_r240.d != 0.0) _y240 = 1; \
if (_q240.d != 0.0) _y240 = 1; \
if (_p240.d != 0.0) _y240 = 1; \
_t240 = (DItype)_k240; \
_u240 = _l240.i; \
_v240 = _m240.i; \
_w240 = _n240.i; \
_x240 = _o240.i; \
R##_f1 = (_t240 << (128 - (wfracbits - 1))) \
| ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104)); \
R##_f0 = ((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \
| ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \
| ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \
| ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \
| _y240; \
resetfe; \
} while (0)
#define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \
do \
{ \
static const double _const[] = \
{ \
/* 2^-24 */ 5.9604644775390625e-08, \
/* 2^-48 */ 3.5527136788005009e-15, \
/* 2^-72 */ 2.1175823681357508e-22, \
/* 2^-96 */ 1.2621774483536189e-29, \
/* 2^28 */ 2.68435456e+08, \
/* 2^4 */ 1.600000e+01, \
/* 2^-20 */ 9.5367431640625e-07, \
/* 2^-44 */ 5.6843418860808015e-14, \
/* 2^-68 */ 3.3881317890172014e-21, \
/* 2^-92 */ 2.0194839173657902e-28, \
/* 2^-116 */ 1.2037062152420224e-35 \
}; \
double _a240, _b240, _c240, _d240, _e240, _f240, \
_g240, _h240, _i240, _j240, _k240; \
union { double d; UDItype i; } _l240, _m240, _n240, _o240, \
_p240, _q240, _r240, _s240; \
UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \
\
if (wfracbits < 106 || wfracbits > 120) \
abort (); \
\
setfetz; \
\
_e240 = (double) (long) (X##_f0 & 0xffffff); \
_j240 = (double) (long) (Y##_f0 & 0xffffff); \
_d240 = (double) (long) ((X##_f0 >> 24) & 0xffffff); \
_i240 = (double) (long) ((Y##_f0 >> 24) & 0xffffff); \
_c240 = (double) (long) (((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \
_h240 = (double) (long) (((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \
_b240 = (double) (long) ((X##_f1 >> 8) & 0xffffff); \
_g240 = (double) (long) ((Y##_f1 >> 8) & 0xffffff); \
_a240 = (double) (long) (X##_f1 >> 32); \
_f240 = (double) (long) (Y##_f1 >> 32); \
_e240 *= _const[3]; \
_j240 *= _const[3]; \
_d240 *= _const[2]; \
_i240 *= _const[2]; \
_c240 *= _const[1]; \
_h240 *= _const[1]; \
_b240 *= _const[0]; \
_g240 *= _const[0]; \
_s240.d = _e240*_j240; \
_r240.d = _d240*_j240 + _e240*_i240; \
_q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240; \
_p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240; \
_o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240; \
_n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \
_m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \
_l240.d = _a240*_g240 + _b240*_f240; \
_k240 = _a240*_f240; \
_r240.d += _s240.d; \
_q240.d += _r240.d; \
_p240.d += _q240.d; \
_o240.d += _p240.d; \
_n240.d += _o240.d; \
_m240.d += _n240.d; \
_l240.d += _m240.d; \
_k240 += _l240.d; \
_s240.d -= ((_const[10]+_s240.d)-_const[10]); \
_r240.d -= ((_const[9]+_r240.d)-_const[9]); \
_q240.d -= ((_const[8]+_q240.d)-_const[8]); \
_p240.d -= ((_const[7]+_p240.d)-_const[7]); \
_o240.d += _const[7]; \
_n240.d += _const[6]; \
_m240.d += _const[5]; \
_l240.d += _const[4]; \
if (_s240.d != 0.0) \
_y240 = 1; \
if (_r240.d != 0.0) \
_y240 = 1; \
if (_q240.d != 0.0) \
_y240 = 1; \
if (_p240.d != 0.0) \
_y240 = 1; \
_t240 = (DItype) _k240; \
_u240 = _l240.i; \
_v240 = _m240.i; \
_w240 = _n240.i; \
_x240 = _o240.i; \
R##_f1 = ((_t240 << (128 - (wfracbits - 1))) \
| ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104))); \
R##_f0 = (((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \
| ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \
| ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \
| ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \
| _y240); \
resetfe; \
} \
while (0)
/*
* Division algorithms:
*/
#define _FP_DIV_MEAT_2_udiv(fs, R, X, Y) \
do { \
_FP_W_TYPE _n_f2, _n_f1, _n_f0, _r_f1, _r_f0, _m_f1, _m_f0; \
if (_FP_FRAC_GT_2(X, Y)) \
{ \
_n_f2 = X##_f1 >> 1; \
_n_f1 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \
_n_f0 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \
} \
else \
{ \
R##_e--; \
_n_f2 = X##_f1; \
_n_f1 = X##_f0; \
_n_f0 = 0; \
} \
\
/* Normalize, i.e. make the most significant bit of the \
denominator set. */ \
_FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \
do \
{ \
_FP_W_TYPE _n_f2, _n_f1, _n_f0, _r_f1, _r_f0, _m_f1, _m_f0; \
if (_FP_FRAC_GE_2 (X, Y)) \
{ \
_n_f2 = X##_f1 >> 1; \
_n_f1 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \
_n_f0 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \
} \
else \
{ \
R##_e--; \
_n_f2 = X##_f1; \
_n_f1 = X##_f0; \
_n_f0 = 0; \
} \
\
udiv_qrnnd(R##_f1, _r_f1, _n_f2, _n_f1, Y##_f1); \
umul_ppmm(_m_f1, _m_f0, R##_f1, Y##_f0); \
_r_f0 = _n_f0; \
if (_FP_FRAC_GT_2(_m, _r)) \
{ \
R##_f1--; \
_FP_FRAC_ADD_2(_r, Y, _r); \
if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \
{ \
R##_f1--; \
_FP_FRAC_ADD_2(_r, Y, _r); \
} \
} \
_FP_FRAC_DEC_2(_r, _m); \
/* Normalize, i.e. make the most significant bit of the \
denominator set. */ \
_FP_FRAC_SLL_2 (Y, _FP_WFRACXBITS_##fs); \
\
if (_r_f1 == Y##_f1) \
{ \
/* This is a special case, not an optimization \
(_r/Y##_f1 would not fit into UWtype). \
As _r is guaranteed to be < Y, R##_f0 can be either \
(UWtype)-1 or (UWtype)-2. But as we know what kind \
of bits it is (sticky, guard, round), we don't care. \
We also don't care what the reminder is, because the \
guard bit will be set anyway. -jj */ \
R##_f0 = -1; \
} \
else \
{ \
udiv_qrnnd(R##_f0, _r_f1, _r_f1, _r_f0, Y##_f1); \
umul_ppmm(_m_f1, _m_f0, R##_f0, Y##_f0); \
_r_f0 = 0; \
if (_FP_FRAC_GT_2(_m, _r)) \
{ \
R##_f0--; \
_FP_FRAC_ADD_2(_r, Y, _r); \
if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \
{ \
R##_f0--; \
_FP_FRAC_ADD_2(_r, Y, _r); \
} \
} \
if (!_FP_FRAC_EQ_2(_r, _m)) \
R##_f0 |= _FP_WORK_STICKY; \
} \
} while (0)
#define _FP_DIV_MEAT_2_gmp(fs, R, X, Y) \
do { \
_FP_W_TYPE _x[4], _y[2], _z[4]; \
_y[0] = Y##_f0; _y[1] = Y##_f1; \
_x[0] = _x[3] = 0; \
if (_FP_FRAC_GT_2(X, Y)) \
{ \
R##_e++; \
_x[1] = (X##_f0 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE) | \
X##_f1 >> (_FP_W_TYPE_SIZE - \
(_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE))); \
_x[2] = X##_f1 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE); \
} \
else \
{ \
_x[1] = (X##_f0 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE) | \
X##_f1 >> (_FP_W_TYPE_SIZE - \
(_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE))); \
_x[2] = X##_f1 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE); \
} \
udiv_qrnnd (R##_f1, _r_f1, _n_f2, _n_f1, Y##_f1); \
umul_ppmm (_m_f1, _m_f0, R##_f1, Y##_f0); \
_r_f0 = _n_f0; \
if (_FP_FRAC_GT_2 (_m, _r)) \
{ \
R##_f1--; \
_FP_FRAC_ADD_2 (_r, Y, _r); \
if (_FP_FRAC_GE_2 (_r, Y) && _FP_FRAC_GT_2 (_m, _r)) \
{ \
R##_f1--; \
_FP_FRAC_ADD_2 (_r, Y, _r); \
} \
} \
_FP_FRAC_DEC_2 (_r, _m); \
\
(void) mpn_divrem (_z, 0, _x, 4, _y, 2); \
R##_f1 = _z[1]; \
R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \
} while (0)
if (_r_f1 == Y##_f1) \
{ \
/* This is a special case, not an optimization \
(_r/Y##_f1 would not fit into UWtype). \
As _r is guaranteed to be < Y, R##_f0 can be either \
(UWtype)-1 or (UWtype)-2. But as we know what kind \
of bits it is (sticky, guard, round), we don't care. \
We also don't care what the reminder is, because the \
guard bit will be set anyway. -jj */ \
R##_f0 = -1; \
} \
else \
{ \
udiv_qrnnd (R##_f0, _r_f1, _r_f1, _r_f0, Y##_f1); \
umul_ppmm (_m_f1, _m_f0, R##_f0, Y##_f0); \
_r_f0 = 0; \
if (_FP_FRAC_GT_2 (_m, _r)) \
{ \
R##_f0--; \
_FP_FRAC_ADD_2 (_r, Y, _r); \
if (_FP_FRAC_GE_2 (_r, Y) && _FP_FRAC_GT_2 (_m, _r)) \
{ \
R##_f0--; \
_FP_FRAC_ADD_2 (_r, Y, _r); \
} \
} \
if (!_FP_FRAC_EQ_2 (_r, _m)) \
R##_f0 |= _FP_WORK_STICKY; \
} \
} \
while (0)
/*
......@@ -545,44 +580,46 @@
* should be added for those machines where division is fast.
*/
#define _FP_SQRT_MEAT_2(R, S, T, X, q) \
do { \
while (q) \
{ \
T##_f1 = S##_f1 + q; \
if (T##_f1 <= X##_f1) \
{ \
S##_f1 = T##_f1 + q; \
X##_f1 -= T##_f1; \
R##_f1 += q; \
} \
_FP_FRAC_SLL_2(X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
while (q != _FP_WORK_ROUND) \
{ \
T##_f0 = S##_f0 + q; \
T##_f1 = S##_f1; \
if (T##_f1 < X##_f1 || \
(T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \
{ \
S##_f0 = T##_f0 + q; \
S##_f1 += (T##_f0 > S##_f0); \
_FP_FRAC_DEC_2(X, T); \
R##_f0 += q; \
} \
_FP_FRAC_SLL_2(X, 1); \
q >>= 1; \
} \
if (X##_f0 | X##_f1) \
{ \
if (S##_f1 < X##_f1 || \
(S##_f1 == X##_f1 && S##_f0 < X##_f0)) \
R##_f0 |= _FP_WORK_ROUND; \
R##_f0 |= _FP_WORK_STICKY; \
} \
} while (0)
#define _FP_SQRT_MEAT_2(R, S, T, X, q) \
do \
{ \
while (q) \
{ \
T##_f1 = S##_f1 + q; \
if (T##_f1 <= X##_f1) \
{ \
S##_f1 = T##_f1 + q; \
X##_f1 -= T##_f1; \
R##_f1 += q; \
} \
_FP_FRAC_SLL_2 (X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
while (q != _FP_WORK_ROUND) \
{ \
T##_f0 = S##_f0 + q; \
T##_f1 = S##_f1; \
if (T##_f1 < X##_f1 \
|| (T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \
{ \
S##_f0 = T##_f0 + q; \
S##_f1 += (T##_f0 > S##_f0); \
_FP_FRAC_DEC_2 (X, T); \
R##_f0 += q; \
} \
_FP_FRAC_SLL_2 (X, 1); \
q >>= 1; \
} \
if (X##_f0 | X##_f1) \
{ \
if (S##_f1 < X##_f1 \
|| (S##_f1 == X##_f1 && S##_f0 < X##_f0)) \
R##_f0 |= _FP_WORK_ROUND; \
R##_f0 |= _FP_WORK_STICKY; \
} \
} \
while (0)
/*
......@@ -591,19 +628,21 @@
*/
#define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \
(void)((rsize <= _FP_W_TYPE_SIZE) \
? ({ r = X##_f0; }) \
: ({ \
r = X##_f1; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f0; \
}))
(void) ((rsize <= _FP_W_TYPE_SIZE) \
? ({ r = X##_f0; }) \
: ({ \
r = X##_f1; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f0; \
}))
#define _FP_FRAC_DISASSEMBLE_2(X, r, rsize) \
do { \
X##_f0 = r; \
X##_f1 = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \
} while (0)
do \
{ \
X##_f0 = r; \
X##_f1 = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \
} \
while (0)
/*
* Convert FP values between word sizes
......@@ -613,4 +652,4 @@
#define _FP_FRAC_COPY_2_1(D, S) ((D##_f0 = S##_f), (D##_f1 = 0))
#define _FP_FRAC_COPY_2_2(D,S) _FP_FRAC_COPY_2(D,S)
#define _FP_FRAC_COPY_2_2(D, S) _FP_FRAC_COPY_2 (D, S)
......@@ -31,54 +31,58 @@
<http://www.gnu.org/licenses/>. */
#define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4]
#define _FP_FRAC_COPY_4(D,S) \
#define _FP_FRAC_COPY_4(D, S) \
(D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \
D##_f[2] = S##_f[2], D##_f[3] = S##_f[3])
#define _FP_FRAC_SET_4(X,I) __FP_FRAC_SET_4(X, I)
#define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I)
#define _FP_FRAC_HIGH_4(X) (X##_f[3])
#define _FP_FRAC_LOW_4(X) (X##_f[0])
#define _FP_FRAC_WORD_4(X,w) (X##_f[w])
#define _FP_FRAC_SLL_4(X,N) \
do { \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_up = (N) % _FP_W_TYPE_SIZE; \
_down = _FP_W_TYPE_SIZE - _up; \
if (!_up) \
for (_i = 3; _i >= _skip; --_i) \
X##_f[_i] = X##_f[_i-_skip]; \
else \
{ \
for (_i = 3; _i > _skip; --_i) \
X##_f[_i] = X##_f[_i-_skip] << _up \
| X##_f[_i-_skip-1] >> _down; \
X##_f[_i--] = X##_f[0] << _up; \
} \
for (; _i >= 0; --_i) \
X##_f[_i] = 0; \
} while (0)
#define _FP_FRAC_WORD_4(X, w) (X##_f[w])
#define _FP_FRAC_SLL_4(X, N) \
do \
{ \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_up = (N) % _FP_W_TYPE_SIZE; \
_down = _FP_W_TYPE_SIZE - _up; \
if (!_up) \
for (_i = 3; _i >= _skip; --_i) \
X##_f[_i] = X##_f[_i-_skip]; \
else \
{ \
for (_i = 3; _i > _skip; --_i) \
X##_f[_i] = (X##_f[_i-_skip] << _up \
| X##_f[_i-_skip-1] >> _down); \
X##_f[_i--] = X##_f[0] << _up; \
} \
for (; _i >= 0; --_i) \
X##_f[_i] = 0; \
} \
while (0)
/* This one was broken too */
#define _FP_FRAC_SRL_4(X,N) \
do { \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
if (!_down) \
for (_i = 0; _i <= 3-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
for (_i = 0; _i < 3-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up; \
X##_f[_i++] = X##_f[3] >> _down; \
} \
for (; _i < 4; ++_i) \
X##_f[_i] = 0; \
} while (0)
#define _FP_FRAC_SRL_4(X, N) \
do \
{ \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
if (!_down) \
for (_i = 0; _i <= 3-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
for (_i = 0; _i < 3-_skip; ++_i) \
X##_f[_i] = (X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up); \
X##_f[_i++] = X##_f[3] >> _down; \
} \
for (; _i < 4; ++_i) \
X##_f[_i] = 0; \
} \
while (0)
/* Right shift with sticky-lsb.
......@@ -86,159 +90,172 @@
* but that if any of the bits that fall off the right hand side
* were one then we always set the LSbit.
*/
#define _FP_FRAC_SRST_4(X,S,N,size) \
do { \
_FP_I_TYPE _up, _down, _skip, _i; \
_FP_W_TYPE _s; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
for (_s = _i = 0; _i < _skip; ++_i) \
_s |= X##_f[_i]; \
if (!_down) \
for (_i = 0; _i <= 3-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
_s |= X##_f[_i] << _up; \
for (_i = 0; _i < 3-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up; \
X##_f[_i++] = X##_f[3] >> _down; \
} \
for (; _i < 4; ++_i) \
X##_f[_i] = 0; \
S = (_s != 0); \
} while (0)
#define _FP_FRAC_SRS_4(X,N,size) \
do { \
int _sticky; \
_FP_FRAC_SRST_4(X, _sticky, N, size); \
X##_f[0] |= _sticky; \
} while (0)
#define _FP_FRAC_ADD_4(R,X,Y) \
__FP_FRAC_ADD_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
#define _FP_FRAC_SUB_4(R,X,Y) \
__FP_FRAC_SUB_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
#define _FP_FRAC_DEC_4(X,Y) \
__FP_FRAC_DEC_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
#define _FP_FRAC_ADDI_4(X,I) \
__FP_FRAC_ADDI_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], I)
#define _FP_ZEROFRAC_4 0,0,0,0
#define _FP_MINFRAC_4 0,0,0,1
#define _FP_MAXFRAC_4 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0)
#define _FP_FRAC_SRST_4(X, S, N, size) \
do \
{ \
_FP_I_TYPE _up, _down, _skip, _i; \
_FP_W_TYPE _s; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
for (_s = _i = 0; _i < _skip; ++_i) \
_s |= X##_f[_i]; \
if (!_down) \
for (_i = 0; _i <= 3-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
_s |= X##_f[_i] << _up; \
for (_i = 0; _i < 3-_skip; ++_i) \
X##_f[_i] = (X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up); \
X##_f[_i++] = X##_f[3] >> _down; \
} \
for (; _i < 4; ++_i) \
X##_f[_i] = 0; \
S = (_s != 0); \
} \
while (0)
#define _FP_FRAC_SRS_4(X, N, size) \
do \
{ \
int _sticky; \
_FP_FRAC_SRST_4 (X, _sticky, N, size); \
X##_f[0] |= _sticky; \
} \
while (0)
#define _FP_FRAC_ADD_4(R, X, Y) \
__FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
#define _FP_FRAC_SUB_4(R, X, Y) \
__FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
#define _FP_FRAC_DEC_4(X, Y) \
__FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
#define _FP_FRAC_ADDI_4(X, I) \
__FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I)
#define _FP_ZEROFRAC_4 0, 0, 0, 0
#define _FP_MINFRAC_4 0, 0, 0, 1
#define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0)
#define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0)
#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE)X##_f[3] < 0)
#define _FP_FRAC_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs)
#define _FP_FRAC_CLEAR_OVERP_4(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs)
#define _FP_FRAC_EQ_4(X,Y) \
(X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \
&& X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3])
#define _FP_FRAC_GT_4(X,Y) \
(X##_f[3] > Y##_f[3] || \
(X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \
(X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \
(X##_f[1] == Y##_f[1] && X##_f[0] > Y##_f[0]) \
)) \
)) \
)
#define _FP_FRAC_GE_4(X,Y) \
(X##_f[3] > Y##_f[3] || \
(X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \
(X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \
(X##_f[1] == Y##_f[1] && X##_f[0] >= Y##_f[0]) \
)) \
)) \
)
#define _FP_FRAC_CLZ_4(R,X) \
do { \
if (X##_f[3]) \
{ \
__FP_CLZ(R,X##_f[3]); \
} \
else if (X##_f[2]) \
{ \
__FP_CLZ(R,X##_f[2]); \
R += _FP_W_TYPE_SIZE; \
} \
else if (X##_f[1]) \
{ \
__FP_CLZ(R,X##_f[1]); \
R += _FP_W_TYPE_SIZE*2; \
} \
else \
{ \
__FP_CLZ(R,X##_f[0]); \
R += _FP_W_TYPE_SIZE*3; \
} \
} while(0)
#define _FP_UNPACK_RAW_4(fs, X, val) \
do { \
union _FP_UNION_##fs _flo; _flo.flt = (val); \
X##_f[0] = _flo.bits.frac0; \
X##_f[1] = _flo.bits.frac1; \
X##_f[2] = _flo.bits.frac2; \
X##_f[3] = _flo.bits.frac3; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} while (0)
#define _FP_UNPACK_RAW_4_P(fs, X, val) \
do { \
union _FP_UNION_##fs *_flo = \
(union _FP_UNION_##fs *)(val); \
\
X##_f[0] = _flo->bits.frac0; \
X##_f[1] = _flo->bits.frac1; \
X##_f[2] = _flo->bits.frac2; \
X##_f[3] = _flo->bits.frac3; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} while (0)
#define _FP_PACK_RAW_4(fs, val, X) \
do { \
union _FP_UNION_##fs _flo; \
_flo.bits.frac0 = X##_f[0]; \
_flo.bits.frac1 = X##_f[1]; \
_flo.bits.frac2 = X##_f[2]; \
_flo.bits.frac3 = X##_f[3]; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
(val) = _flo.flt; \
} while (0)
#define _FP_PACK_RAW_4_P(fs, val, X) \
do { \
union _FP_UNION_##fs *_flo = \
(union _FP_UNION_##fs *)(val); \
\
_flo->bits.frac0 = X##_f[0]; \
_flo->bits.frac1 = X##_f[1]; \
_flo->bits.frac2 = X##_f[2]; \
_flo->bits.frac3 = X##_f[3]; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} while (0)
#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0)
#define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs)
#define _FP_FRAC_HIGHBIT_DW_4(fs, X) \
(_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs)
#define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs)
#define _FP_FRAC_EQ_4(X, Y) \
(X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \
&& X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3])
#define _FP_FRAC_GT_4(X, Y) \
(X##_f[3] > Y##_f[3] \
|| (X##_f[3] == Y##_f[3] \
&& (X##_f[2] > Y##_f[2] \
|| (X##_f[2] == Y##_f[2] \
&& (X##_f[1] > Y##_f[1] \
|| (X##_f[1] == Y##_f[1] \
&& X##_f[0] > Y##_f[0]))))))
#define _FP_FRAC_GE_4(X, Y) \
(X##_f[3] > Y##_f[3] \
|| (X##_f[3] == Y##_f[3] \
&& (X##_f[2] > Y##_f[2] \
|| (X##_f[2] == Y##_f[2] \
&& (X##_f[1] > Y##_f[1] \
|| (X##_f[1] == Y##_f[1] \
&& X##_f[0] >= Y##_f[0]))))))
#define _FP_FRAC_CLZ_4(R, X) \
do \
{ \
if (X##_f[3]) \
__FP_CLZ (R, X##_f[3]); \
else if (X##_f[2]) \
{ \
__FP_CLZ (R, X##_f[2]); \
R += _FP_W_TYPE_SIZE; \
} \
else if (X##_f[1]) \
{ \
__FP_CLZ (R, X##_f[1]); \
R += _FP_W_TYPE_SIZE*2; \
} \
else \
{ \
__FP_CLZ (R, X##_f[0]); \
R += _FP_W_TYPE_SIZE*3; \
} \
} \
while (0)
#define _FP_UNPACK_RAW_4(fs, X, val) \
do \
{ \
union _FP_UNION_##fs _flo; \
_flo.flt = (val); \
X##_f[0] = _flo.bits.frac0; \
X##_f[1] = _flo.bits.frac1; \
X##_f[2] = _flo.bits.frac2; \
X##_f[3] = _flo.bits.frac3; \
X##_e = _flo.bits.exp; \
X##_s = _flo.bits.sign; \
} \
while (0)
#define _FP_UNPACK_RAW_4_P(fs, X, val) \
do \
{ \
union _FP_UNION_##fs *_flo = (union _FP_UNION_##fs *) (val); \
\
X##_f[0] = _flo->bits.frac0; \
X##_f[1] = _flo->bits.frac1; \
X##_f[2] = _flo->bits.frac2; \
X##_f[3] = _flo->bits.frac3; \
X##_e = _flo->bits.exp; \
X##_s = _flo->bits.sign; \
} \
while (0)
#define _FP_PACK_RAW_4(fs, val, X) \
do \
{ \
union _FP_UNION_##fs _flo; \
_flo.bits.frac0 = X##_f[0]; \
_flo.bits.frac1 = X##_f[1]; \
_flo.bits.frac2 = X##_f[2]; \
_flo.bits.frac3 = X##_f[3]; \
_flo.bits.exp = X##_e; \
_flo.bits.sign = X##_s; \
(val) = _flo.flt; \
} \
while (0)
#define _FP_PACK_RAW_4_P(fs, val, X) \
do \
{ \
union _FP_UNION_##fs *_flo = (union _FP_UNION_##fs *) (val); \
\
_flo->bits.frac0 = X##_f[0]; \
_flo->bits.frac1 = X##_f[1]; \
_flo->bits.frac2 = X##_f[2]; \
_flo->bits.frac3 = X##_f[3]; \
_flo->bits.exp = X##_e; \
_flo->bits.sign = X##_s; \
} \
while (0)
/*
* Multiplication algorithms:
......@@ -246,188 +263,216 @@
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
#define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \
do { \
_FP_FRAC_DECL_8(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \
_FP_FRAC_DECL_2(_d); _FP_FRAC_DECL_2(_e); _FP_FRAC_DECL_2(_f); \
\
doit(_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0), X##_f[0], Y##_f[0]); \
doit(_b_f1, _b_f0, X##_f[0], Y##_f[1]); \
doit(_c_f1, _c_f0, X##_f[1], Y##_f[0]); \
doit(_d_f1, _d_f0, X##_f[1], Y##_f[1]); \
doit(_e_f1, _e_f0, X##_f[0], Y##_f[2]); \
doit(_f_f1, _f_f0, X##_f[2], Y##_f[0]); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \
_FP_FRAC_WORD_8(_z,1), 0,_b_f1,_b_f0, \
0,0,_FP_FRAC_WORD_8(_z,1)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \
_FP_FRAC_WORD_8(_z,1), 0,_c_f1,_c_f0, \
_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2), \
_FP_FRAC_WORD_8(_z,1)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \
_FP_FRAC_WORD_8(_z,2), 0,_d_f1,_d_f0, \
0,_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \
_FP_FRAC_WORD_8(_z,2), 0,_e_f1,_e_f0, \
_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \
_FP_FRAC_WORD_8(_z,2)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \
_FP_FRAC_WORD_8(_z,2), 0,_f_f1,_f_f0, \
_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3), \
_FP_FRAC_WORD_8(_z,2)); \
doit(_b_f1, _b_f0, X##_f[0], Y##_f[3]); \
doit(_c_f1, _c_f0, X##_f[3], Y##_f[0]); \
doit(_d_f1, _d_f0, X##_f[1], Y##_f[2]); \
doit(_e_f1, _e_f0, X##_f[2], Y##_f[1]); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3), 0,_b_f1,_b_f0, \
0,_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3), 0,_c_f1,_c_f0, \
_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3), 0,_d_f1,_d_f0, \
_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3), 0,_e_f1,_e_f0, \
_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4), \
_FP_FRAC_WORD_8(_z,3)); \
doit(_b_f1, _b_f0, X##_f[2], Y##_f[2]); \
doit(_c_f1, _c_f0, X##_f[1], Y##_f[3]); \
doit(_d_f1, _d_f0, X##_f[3], Y##_f[1]); \
doit(_e_f1, _e_f0, X##_f[2], Y##_f[3]); \
doit(_f_f1, _f_f0, X##_f[3], Y##_f[2]); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \
_FP_FRAC_WORD_8(_z,4), 0,_b_f1,_b_f0, \
0,_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \
_FP_FRAC_WORD_8(_z,4), 0,_c_f1,_c_f0, \
_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \
_FP_FRAC_WORD_8(_z,4)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \
_FP_FRAC_WORD_8(_z,4), 0,_d_f1,_d_f0, \
_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5), \
_FP_FRAC_WORD_8(_z,4)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \
_FP_FRAC_WORD_8(_z,5), 0,_e_f1,_e_f0, \
0,_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5)); \
__FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \
_FP_FRAC_WORD_8(_z,5), 0,_f_f1,_f_f0, \
_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \
_FP_FRAC_WORD_8(_z,5)); \
doit(_b_f1, _b_f0, X##_f[3], Y##_f[3]); \
__FP_FRAC_ADD_2(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6), \
_b_f1,_b_f0, \
_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6)); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits); \
__FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \
_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \
} while (0)
#define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \
do { \
_FP_FRAC_DECL_8(_z); \
\
mpn_mul_n(_z_f, _x_f, _y_f, 4); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits); \
__FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2), \
_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0)); \
} while (0)
#define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \
do \
{ \
_FP_FRAC_DECL_2 (_b); \
_FP_FRAC_DECL_2 (_c); \
_FP_FRAC_DECL_2 (_d); \
_FP_FRAC_DECL_2 (_e); \
_FP_FRAC_DECL_2 (_f); \
\
doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), X##_f[0], Y##_f[0]); \
doit (_b_f1, _b_f0, X##_f[0], Y##_f[1]); \
doit (_c_f1, _c_f0, X##_f[1], Y##_f[0]); \
doit (_d_f1, _d_f0, X##_f[1], Y##_f[1]); \
doit (_e_f1, _e_f0, X##_f[0], Y##_f[2]); \
doit (_f_f1, _f_f0, X##_f[2], Y##_f[0]); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \
_FP_FRAC_WORD_8 (R, 1), 0, _b_f1, _b_f0, \
0, 0, _FP_FRAC_WORD_8 (R, 1)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \
_FP_FRAC_WORD_8 (R, 1), 0, _c_f1, _c_f0, \
_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \
_FP_FRAC_WORD_8 (R, 1)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
_FP_FRAC_WORD_8 (R, 2), 0, _d_f1, _d_f0, \
0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
_FP_FRAC_WORD_8 (R, 2), 0, _e_f1, _e_f0, \
_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
_FP_FRAC_WORD_8 (R, 2)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
_FP_FRAC_WORD_8 (R, 2), 0, _f_f1, _f_f0, \
_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \
_FP_FRAC_WORD_8 (R, 2)); \
doit (_b_f1, _b_f0, X##_f[0], Y##_f[3]); \
doit (_c_f1, _c_f0, X##_f[3], Y##_f[0]); \
doit (_d_f1, _d_f0, X##_f[1], Y##_f[2]); \
doit (_e_f1, _e_f0, X##_f[2], Y##_f[1]); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3), 0, _b_f1, _b_f0, \
0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3), 0, _c_f1, _c_f0, \
_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3), 0, _d_f1, _d_f0, \
_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3), 0, _e_f1, _e_f0, \
_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \
_FP_FRAC_WORD_8 (R, 3)); \
doit (_b_f1, _b_f0, X##_f[2], Y##_f[2]); \
doit (_c_f1, _c_f0, X##_f[1], Y##_f[3]); \
doit (_d_f1, _d_f0, X##_f[3], Y##_f[1]); \
doit (_e_f1, _e_f0, X##_f[2], Y##_f[3]); \
doit (_f_f1, _f_f0, X##_f[3], Y##_f[2]); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
_FP_FRAC_WORD_8 (R, 4), 0, _b_f1, _b_f0, \
0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
_FP_FRAC_WORD_8 (R, 4), 0, _c_f1, _c_f0, \
_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
_FP_FRAC_WORD_8 (R, 4)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
_FP_FRAC_WORD_8 (R, 4), 0, _d_f1, _d_f0, \
_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \
_FP_FRAC_WORD_8 (R, 4)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
_FP_FRAC_WORD_8 (R, 5), 0, _e_f1, _e_f0, \
0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \
__FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
_FP_FRAC_WORD_8 (R, 5), 0, _f_f1, _f_f0, \
_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
_FP_FRAC_WORD_8 (R, 5)); \
doit (_b_f1, _b_f0, X##_f[3], Y##_f[3]); \
__FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \
_b_f1, _b_f0, \
_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \
} \
while (0)
#define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \
do \
{ \
_FP_FRAC_DECL_8 (_z); \
\
_FP_MUL_MEAT_DW_4_wide (wfracbits, _z, X, Y, doit); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_8 (_z, wfracbits-1, 2*wfracbits); \
__FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_z, 3), _FP_FRAC_WORD_8 (_z, 2), \
_FP_FRAC_WORD_8 (_z, 1), _FP_FRAC_WORD_8 (_z, 0)); \
} \
while (0)
#define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \
do \
{ \
mpn_mul_n (R##_f, _x_f, _y_f, 4); \
} \
while (0)
#define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \
do \
{ \
_FP_FRAC_DECL_8 (_z); \
\
_FP_MUL_MEAT_DW_4_gmp (wfracbits, _z, X, Y); \
\
/* Normalize since we know where the msb of the multiplicands \
were (bit B), we know that the msb of the of the product is \
at either 2B or 2B-1. */ \
_FP_FRAC_SRS_8 (_z, wfracbits-1, 2*wfracbits); \
__FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_z, 3), _FP_FRAC_WORD_8 (_z, 2), \
_FP_FRAC_WORD_8 (_z, 1), _FP_FRAC_WORD_8 (_z, 0)); \
} \
while (0)
/*
* Helper utility for _FP_DIV_MEAT_4_udiv:
* pppp = m * nnn
*/
#define umul_ppppmnnn(p3,p2,p1,p0,m,n2,n1,n0) \
do { \
UWtype _t; \
umul_ppmm(p1,p0,m,n0); \
umul_ppmm(p2,_t,m,n1); \
__FP_FRAC_ADDI_2(p2,p1,_t); \
umul_ppmm(p3,_t,m,n2); \
__FP_FRAC_ADDI_2(p3,p2,_t); \
} while (0)
#define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \
do \
{ \
UWtype _t; \
umul_ppmm (p1, p0, m, n0); \
umul_ppmm (p2, _t, m, n1); \
__FP_FRAC_ADDI_2 (p2, p1, _t); \
umul_ppmm (p3, _t, m, n2); \
__FP_FRAC_ADDI_2 (p3, p2, _t); \
} \
while (0)
/*
* Division algorithms:
*/
#define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \
do { \
int _i; \
_FP_FRAC_DECL_4(_n); _FP_FRAC_DECL_4(_m); \
_FP_FRAC_SET_4(_n, _FP_ZEROFRAC_4); \
if (_FP_FRAC_GT_4(X, Y)) \
{ \
_n_f[3] = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \
_FP_FRAC_SRL_4(X, 1); \
} \
else \
R##_e--; \
\
/* Normalize, i.e. make the most significant bit of the \
denominator set. */ \
_FP_FRAC_SLL_4(Y, _FP_WFRACXBITS_##fs); \
\
for (_i = 3; ; _i--) \
{ \
if (X##_f[3] == Y##_f[3]) \
{ \
/* This is a special case, not an optimization \
(X##_f[3]/Y##_f[3] would not fit into UWtype). \
As X## is guaranteed to be < Y, R##_f[_i] can be either \
(UWtype)-1 or (UWtype)-2. */ \
R##_f[_i] = -1; \
if (!_i) \
break; \
__FP_FRAC_SUB_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[2], Y##_f[1], Y##_f[0], 0, \
X##_f[2], X##_f[1], X##_f[0], _n_f[_i]); \
_FP_FRAC_SUB_4(X, Y, X); \
if (X##_f[3] > Y##_f[3]) \
{ \
R##_f[_i] = -2; \
_FP_FRAC_ADD_4(X, Y, X); \
} \
} \
else \
{ \
udiv_qrnnd(R##_f[_i], X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \
umul_ppppmnnn(_m_f[3], _m_f[2], _m_f[1], _m_f[0], \
R##_f[_i], Y##_f[2], Y##_f[1], Y##_f[0]); \
X##_f[2] = X##_f[1]; \
X##_f[1] = X##_f[0]; \
X##_f[0] = _n_f[_i]; \
if (_FP_FRAC_GT_4(_m, X)) \
{ \
R##_f[_i]--; \
_FP_FRAC_ADD_4(X, Y, X); \
if (_FP_FRAC_GE_4(X, Y) && _FP_FRAC_GT_4(_m, X)) \
{ \
R##_f[_i]--; \
_FP_FRAC_ADD_4(X, Y, X); \
} \
} \
_FP_FRAC_DEC_4(X, _m); \
if (!_i) \
{ \
if (!_FP_FRAC_EQ_4(X, _m)) \
R##_f[0] |= _FP_WORK_STICKY; \
break; \
} \
} \
} \
} while (0)
#define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \
do \
{ \
int _i; \
_FP_FRAC_DECL_4 (_n); \
_FP_FRAC_DECL_4 (_m); \
_FP_FRAC_SET_4 (_n, _FP_ZEROFRAC_4); \
if (_FP_FRAC_GE_4 (X, Y)) \
{ \
_n_f[3] = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \
_FP_FRAC_SRL_4 (X, 1); \
} \
else \
R##_e--; \
\
/* Normalize, i.e. make the most significant bit of the \
denominator set. */ \
_FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \
\
for (_i = 3; ; _i--) \
{ \
if (X##_f[3] == Y##_f[3]) \
{ \
/* This is a special case, not an optimization \
(X##_f[3]/Y##_f[3] would not fit into UWtype). \
As X## is guaranteed to be < Y, R##_f[_i] can be either \
(UWtype)-1 or (UWtype)-2. */ \
R##_f[_i] = -1; \
if (!_i) \
break; \
__FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
Y##_f[2], Y##_f[1], Y##_f[0], 0, \
X##_f[2], X##_f[1], X##_f[0], _n_f[_i]); \
_FP_FRAC_SUB_4 (X, Y, X); \
if (X##_f[3] > Y##_f[3]) \
{ \
R##_f[_i] = -2; \
_FP_FRAC_ADD_4 (X, Y, X); \
} \
} \
else \
{ \
udiv_qrnnd (R##_f[_i], X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \
umul_ppppmnnn (_m_f[3], _m_f[2], _m_f[1], _m_f[0], \
R##_f[_i], Y##_f[2], Y##_f[1], Y##_f[0]); \
X##_f[2] = X##_f[1]; \
X##_f[1] = X##_f[0]; \
X##_f[0] = _n_f[_i]; \
if (_FP_FRAC_GT_4 (_m, X)) \
{ \
R##_f[_i]--; \
_FP_FRAC_ADD_4 (X, Y, X); \
if (_FP_FRAC_GE_4 (X, Y) && _FP_FRAC_GT_4 (_m, X)) \
{ \
R##_f[_i]--; \
_FP_FRAC_ADD_4 (X, Y, X); \
} \
} \
_FP_FRAC_DEC_4 (X, _m); \
if (!_i) \
{ \
if (!_FP_FRAC_EQ_4 (X, _m)) \
R##_f[0] |= _FP_WORK_STICKY; \
break; \
} \
} \
} \
} \
while (0)
/*
......@@ -436,183 +481,203 @@
* should be added for those machines where division is fast.
*/
#define _FP_SQRT_MEAT_4(R, S, T, X, q) \
do { \
while (q) \
{ \
T##_f[3] = S##_f[3] + q; \
if (T##_f[3] <= X##_f[3]) \
{ \
S##_f[3] = T##_f[3] + q; \
X##_f[3] -= T##_f[3]; \
R##_f[3] += q; \
} \
_FP_FRAC_SLL_4(X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
while (q) \
{ \
T##_f[2] = S##_f[2] + q; \
T##_f[3] = S##_f[3]; \
if (T##_f[3] < X##_f[3] || \
(T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \
{ \
S##_f[2] = T##_f[2] + q; \
S##_f[3] += (T##_f[2] > S##_f[2]); \
__FP_FRAC_DEC_2(X##_f[3], X##_f[2], \
T##_f[3], T##_f[2]); \
R##_f[2] += q; \
} \
_FP_FRAC_SLL_4(X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
while (q) \
{ \
T##_f[1] = S##_f[1] + q; \
T##_f[2] = S##_f[2]; \
T##_f[3] = S##_f[3]; \
if (T##_f[3] < X##_f[3] || \
(T##_f[3] == X##_f[3] && (T##_f[2] < X##_f[2] || \
(T##_f[2] == X##_f[2] && T##_f[1] <= X##_f[1])))) \
{ \
S##_f[1] = T##_f[1] + q; \
S##_f[2] += (T##_f[1] > S##_f[1]); \
S##_f[3] += (T##_f[2] > S##_f[2]); \
__FP_FRAC_DEC_3(X##_f[3], X##_f[2], X##_f[1], \
T##_f[3], T##_f[2], T##_f[1]); \
R##_f[1] += q; \
} \
_FP_FRAC_SLL_4(X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
while (q != _FP_WORK_ROUND) \
{ \
T##_f[0] = S##_f[0] + q; \
T##_f[1] = S##_f[1]; \
T##_f[2] = S##_f[2]; \
T##_f[3] = S##_f[3]; \
if (_FP_FRAC_GE_4(X,T)) \
{ \
S##_f[0] = T##_f[0] + q; \
S##_f[1] += (T##_f[0] > S##_f[0]); \
S##_f[2] += (T##_f[1] > S##_f[1]); \
S##_f[3] += (T##_f[2] > S##_f[2]); \
_FP_FRAC_DEC_4(X, T); \
R##_f[0] += q; \
} \
_FP_FRAC_SLL_4(X, 1); \
q >>= 1; \
} \
if (!_FP_FRAC_ZEROP_4(X)) \
{ \
if (_FP_FRAC_GT_4(X,S)) \
R##_f[0] |= _FP_WORK_ROUND; \
R##_f[0] |= _FP_WORK_STICKY; \
} \
} while (0)
#define _FP_SQRT_MEAT_4(R, S, T, X, q) \
do \
{ \
while (q) \
{ \
T##_f[3] = S##_f[3] + q; \
if (T##_f[3] <= X##_f[3]) \
{ \
S##_f[3] = T##_f[3] + q; \
X##_f[3] -= T##_f[3]; \
R##_f[3] += q; \
} \
_FP_FRAC_SLL_4 (X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
while (q) \
{ \
T##_f[2] = S##_f[2] + q; \
T##_f[3] = S##_f[3]; \
if (T##_f[3] < X##_f[3] \
|| (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \
{ \
S##_f[2] = T##_f[2] + q; \
S##_f[3] += (T##_f[2] > S##_f[2]); \
__FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \
T##_f[3], T##_f[2]); \
R##_f[2] += q; \
} \
_FP_FRAC_SLL_4 (X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
while (q) \
{ \
T##_f[1] = S##_f[1] + q; \
T##_f[2] = S##_f[2]; \
T##_f[3] = S##_f[3]; \
if (T##_f[3] < X##_f[3] \
|| (T##_f[3] == X##_f[3] \
&& (T##_f[2] < X##_f[2] \
|| (T##_f[2] == X##_f[2] \
&& T##_f[1] <= X##_f[1])))) \
{ \
S##_f[1] = T##_f[1] + q; \
S##_f[2] += (T##_f[1] > S##_f[1]); \
S##_f[3] += (T##_f[2] > S##_f[2]); \
__FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \
T##_f[3], T##_f[2], T##_f[1]); \
R##_f[1] += q; \
} \
_FP_FRAC_SLL_4 (X, 1); \
q >>= 1; \
} \
q = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \
while (q != _FP_WORK_ROUND) \
{ \
T##_f[0] = S##_f[0] + q; \
T##_f[1] = S##_f[1]; \
T##_f[2] = S##_f[2]; \
T##_f[3] = S##_f[3]; \
if (_FP_FRAC_GE_4 (X, T)) \
{ \
S##_f[0] = T##_f[0] + q; \
S##_f[1] += (T##_f[0] > S##_f[0]); \
S##_f[2] += (T##_f[1] > S##_f[1]); \
S##_f[3] += (T##_f[2] > S##_f[2]); \
_FP_FRAC_DEC_4 (X, T); \
R##_f[0] += q; \
} \
_FP_FRAC_SLL_4 (X, 1); \
q >>= 1; \
} \
if (!_FP_FRAC_ZEROP_4 (X)) \
{ \
if (_FP_FRAC_GT_4 (X, S)) \
R##_f[0] |= _FP_WORK_ROUND; \
R##_f[0] |= _FP_WORK_STICKY; \
} \
} \
while (0)
/*
* Internals
*/
#define __FP_FRAC_SET_4(X,I3,I2,I1,I0) \
#define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \
(X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0)
#ifndef __FP_FRAC_ADD_3
#define __FP_FRAC_ADD_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \
do { \
_FP_W_TYPE _c1, _c2; \
r0 = x0 + y0; \
_c1 = r0 < x0; \
r1 = x1 + y1; \
_c2 = r1 < x1; \
r1 += _c1; \
_c2 |= r1 < _c1; \
r2 = x2 + y2 + _c2; \
} while (0)
# define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \
do \
{ \
_FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \
r0 = x0 + y0; \
__FP_FRAC_ADD_3_c1 = r0 < x0; \
r1 = x1 + y1; \
__FP_FRAC_ADD_3_c2 = r1 < x1; \
r1 += __FP_FRAC_ADD_3_c1; \
__FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \
r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \
} \
while (0)
#endif
#ifndef __FP_FRAC_ADD_4
#define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
do { \
_FP_W_TYPE _c1, _c2, _c3; \
r0 = x0 + y0; \
_c1 = r0 < x0; \
r1 = x1 + y1; \
_c2 = r1 < x1; \
r1 += _c1; \
_c2 |= r1 < _c1; \
r2 = x2 + y2; \
_c3 = r2 < x2; \
r2 += _c2; \
_c3 |= r2 < _c2; \
r3 = x3 + y3 + _c3; \
} while (0)
# define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \
do \
{ \
_FP_W_TYPE _c1, _c2, _c3; \
r0 = x0 + y0; \
_c1 = r0 < x0; \
r1 = x1 + y1; \
_c2 = r1 < x1; \
r1 += _c1; \
_c2 |= r1 < _c1; \
r2 = x2 + y2; \
_c3 = r2 < x2; \
r2 += _c2; \
_c3 |= r2 < _c2; \
r3 = x3 + y3 + _c3; \
} \
while (0)
#endif
#ifndef __FP_FRAC_SUB_3
#define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \
do { \
_FP_W_TYPE _c1, _c2; \
r0 = x0 - y0; \
_c1 = r0 > x0; \
r1 = x1 - y1; \
_c2 = r1 > x1; \
r1 -= _c1; \
_c2 |= _c1 && (y1 == x1); \
r2 = x2 - y2 - _c2; \
} while (0)
# define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \
do \
{ \
_FP_W_TYPE _c1, _c2; \
r0 = x0 - y0; \
_c1 = r0 > x0; \
r1 = x1 - y1; \
_c2 = r1 > x1; \
r1 -= _c1; \
_c2 |= _c1 && (y1 == x1); \
r2 = x2 - y2 - _c2; \
} \
while (0)
#endif
#ifndef __FP_FRAC_SUB_4
#define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
do { \
_FP_W_TYPE _c1, _c2, _c3; \
r0 = x0 - y0; \
_c1 = r0 > x0; \
r1 = x1 - y1; \
_c2 = r1 > x1; \
r1 -= _c1; \
_c2 |= _c1 && (y1 == x1); \
r2 = x2 - y2; \
_c3 = r2 > x2; \
r2 -= _c2; \
_c3 |= _c2 && (y2 == x2); \
r3 = x3 - y3 - _c3; \
} while (0)
# define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \
do \
{ \
_FP_W_TYPE _c1, _c2, _c3; \
r0 = x0 - y0; \
_c1 = r0 > x0; \
r1 = x1 - y1; \
_c2 = r1 > x1; \
r1 -= _c1; \
_c2 |= _c1 && (y1 == x1); \
r2 = x2 - y2; \
_c3 = r2 > x2; \
r2 -= _c2; \
_c3 |= _c2 && (y2 == x2); \
r3 = x3 - y3 - _c3; \
} \
while (0)
#endif
#ifndef __FP_FRAC_DEC_3
#define __FP_FRAC_DEC_3(x2,x1,x0,y2,y1,y0) \
do { \
UWtype _t0, _t1, _t2; \
_t0 = x0, _t1 = x1, _t2 = x2; \
__FP_FRAC_SUB_3 (x2, x1, x0, _t2, _t1, _t0, y2, y1, y0); \
} while (0)
# define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \
do \
{ \
UWtype _t0, _t1, _t2; \
_t0 = x0, _t1 = x1, _t2 = x2; \
__FP_FRAC_SUB_3 (x2, x1, x0, _t2, _t1, _t0, y2, y1, y0); \
} \
while (0)
#endif
#ifndef __FP_FRAC_DEC_4
#define __FP_FRAC_DEC_4(x3,x2,x1,x0,y3,y2,y1,y0) \
do { \
UWtype _t0, _t1, _t2, _t3; \
_t0 = x0, _t1 = x1, _t2 = x2, _t3 = x3; \
__FP_FRAC_SUB_4 (x3,x2,x1,x0,_t3,_t2,_t1,_t0, y3,y2,y1,y0); \
} while (0)
# define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \
do \
{ \
UWtype _t0, _t1, _t2, _t3; \
_t0 = x0, _t1 = x1, _t2 = x2, _t3 = x3; \
__FP_FRAC_SUB_4 (x3, x2, x1, x0, _t3, _t2, _t1, _t0, y3, y2, y1, y0); \
} \
while (0)
#endif
#ifndef __FP_FRAC_ADDI_4
#define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i) \
do { \
UWtype _t; \
_t = ((x0 += i) < i); \
x1 += _t; _t = (x1 < _t); \
x2 += _t; _t = (x2 < _t); \
x3 += _t; \
} while (0)
# define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \
do \
{ \
UWtype _t; \
_t = ((x0 += i) < i); \
x1 += _t; \
_t = (x1 < _t); \
x2 += _t; \
_t = (x2 < _t); \
x3 += _t; \
} \
while (0)
#endif
/* Convert FP values between word sizes. This appears to be more
......@@ -625,38 +690,42 @@
#define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0])
#define _FP_FRAC_COPY_2_4(D, S) \
do { \
D##_f0 = S##_f[0]; \
D##_f1 = S##_f[1]; \
} while (0)
do \
{ \
D##_f0 = S##_f[0]; \
D##_f1 = S##_f[1]; \
} \
while (0)
/* Assembly/disassembly for converting to/from integral types.
* No shifting or overflow handled here.
*/
/* Put the FP value X into r, which is an integer of size rsize. */
#define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \
do { \
if (rsize <= _FP_W_TYPE_SIZE) \
r = X##_f[0]; \
else if (rsize <= 2*_FP_W_TYPE_SIZE) \
{ \
r = X##_f[1]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[0]; \
} \
else \
do \
{ \
/* I'm feeling lazy so we deal with int == 3words (implausible)*/ \
/* and int == 4words as a single case. */ \
r = X##_f[3]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[2]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[1]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[0]; \
if (rsize <= _FP_W_TYPE_SIZE) \
r = X##_f[0]; \
else if (rsize <= 2*_FP_W_TYPE_SIZE) \
{ \
r = X##_f[1]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[0]; \
} \
else \
{ \
/* I'm feeling lazy so we deal with int == 3words (implausible)*/ \
/* and int == 4words as a single case. */ \
r = X##_f[3]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[2]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[1]; \
r <<= _FP_W_TYPE_SIZE; \
r += X##_f[0]; \
} \
} \
} while (0)
while (0)
/* "No disassemble Number Five!" */
/* move an integer of size rsize into X's fractional part. We rely on
......@@ -664,24 +733,30 @@ do { \
* having to mask the values we store into it.
*/
#define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \
do { \
X##_f[0] = r; \
X##_f[1] = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \
X##_f[2] = (rsize <= 2*_FP_W_TYPE_SIZE ? 0 : r >> 2*_FP_W_TYPE_SIZE); \
X##_f[3] = (rsize <= 3*_FP_W_TYPE_SIZE ? 0 : r >> 3*_FP_W_TYPE_SIZE); \
} while (0);
do \
{ \
X##_f[0] = r; \
X##_f[1] = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \
X##_f[2] = (rsize <= 2*_FP_W_TYPE_SIZE ? 0 : r >> 2*_FP_W_TYPE_SIZE); \
X##_f[3] = (rsize <= 3*_FP_W_TYPE_SIZE ? 0 : r >> 3*_FP_W_TYPE_SIZE); \
} \
while (0)
#define _FP_FRAC_COPY_4_1(D, S) \
do { \
D##_f[0] = S##_f; \
D##_f[1] = D##_f[2] = D##_f[3] = 0; \
} while (0)
do \
{ \
D##_f[0] = S##_f; \
D##_f[1] = D##_f[2] = D##_f[3] = 0; \
} \
while (0)
#define _FP_FRAC_COPY_4_2(D, S) \
do { \
D##_f[0] = S##_f0; \
D##_f[1] = S##_f1; \
D##_f[2] = D##_f[3] = 0; \
} while (0)
#define _FP_FRAC_COPY_4_4(D,S) _FP_FRAC_COPY_4(D,S)
do \
{ \
D##_f[0] = S##_f0; \
D##_f[1] = S##_f1; \
D##_f[2] = D##_f[3] = 0; \
} \
while (0)
#define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S)
......@@ -34,47 +34,51 @@
#define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8]
#define _FP_FRAC_HIGH_8(X) (X##_f[7])
#define _FP_FRAC_LOW_8(X) (X##_f[0])
#define _FP_FRAC_WORD_8(X,w) (X##_f[w])
#define _FP_FRAC_WORD_8(X, w) (X##_f[w])
#define _FP_FRAC_SLL_8(X,N) \
do { \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_up = (N) % _FP_W_TYPE_SIZE; \
_down = _FP_W_TYPE_SIZE - _up; \
if (!_up) \
for (_i = 7; _i >= _skip; --_i) \
X##_f[_i] = X##_f[_i-_skip]; \
else \
{ \
for (_i = 7; _i > _skip; --_i) \
X##_f[_i] = X##_f[_i-_skip] << _up \
| X##_f[_i-_skip-1] >> _down; \
X##_f[_i--] = X##_f[0] << _up; \
} \
for (; _i >= 0; --_i) \
X##_f[_i] = 0; \
} while (0)
#define _FP_FRAC_SLL_8(X, N) \
do \
{ \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_up = (N) % _FP_W_TYPE_SIZE; \
_down = _FP_W_TYPE_SIZE - _up; \
if (!_up) \
for (_i = 7; _i >= _skip; --_i) \
X##_f[_i] = X##_f[_i-_skip]; \
else \
{ \
for (_i = 7; _i > _skip; --_i) \
X##_f[_i] = (X##_f[_i-_skip] << _up \
| X##_f[_i-_skip-1] >> _down); \
X##_f[_i--] = X##_f[0] << _up; \
} \
for (; _i >= 0; --_i) \
X##_f[_i] = 0; \
} \
while (0)
#define _FP_FRAC_SRL_8(X,N) \
do { \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
if (!_down) \
for (_i = 0; _i <= 7-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
for (_i = 0; _i < 7-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up; \
X##_f[_i++] = X##_f[7] >> _down; \
} \
for (; _i < 8; ++_i) \
X##_f[_i] = 0; \
} while (0)
#define _FP_FRAC_SRL_8(X, N) \
do \
{ \
_FP_I_TYPE _up, _down, _skip, _i; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
if (!_down) \
for (_i = 0; _i <= 7-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
for (_i = 0; _i < 7-_skip; ++_i) \
X##_f[_i] = (X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up); \
X##_f[_i++] = X##_f[7] >> _down; \
} \
for (; _i < 8; ++_i) \
X##_f[_i] = 0; \
} \
while (0)
/* Right shift with sticky-lsb.
......@@ -82,28 +86,31 @@
* but that if any of the bits that fall off the right hand side
* were one then we always set the LSbit.
*/
#define _FP_FRAC_SRS_8(X,N,size) \
do { \
_FP_I_TYPE _up, _down, _skip, _i; \
_FP_W_TYPE _s; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
for (_s = _i = 0; _i < _skip; ++_i) \
_s |= X##_f[_i]; \
if (!_down) \
for (_i = 0; _i <= 7-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
_s |= X##_f[_i] << _up; \
for (_i = 0; _i < 7-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up; \
X##_f[_i++] = X##_f[7] >> _down; \
} \
for (; _i < 8; ++_i) \
X##_f[_i] = 0; \
/* don't fix the LSB until the very end when we're sure f[0] is stable */ \
X##_f[0] |= (_s != 0); \
} while (0)
#define _FP_FRAC_SRS_8(X, N, size) \
do \
{ \
_FP_I_TYPE _up, _down, _skip, _i; \
_FP_W_TYPE _s; \
_skip = (N) / _FP_W_TYPE_SIZE; \
_down = (N) % _FP_W_TYPE_SIZE; \
_up = _FP_W_TYPE_SIZE - _down; \
for (_s = _i = 0; _i < _skip; ++_i) \
_s |= X##_f[_i]; \
if (!_down) \
for (_i = 0; _i <= 7-_skip; ++_i) \
X##_f[_i] = X##_f[_i+_skip]; \
else \
{ \
_s |= X##_f[_i] << _up; \
for (_i = 0; _i < 7-_skip; ++_i) \
X##_f[_i] = (X##_f[_i+_skip] >> _down \
| X##_f[_i+_skip+1] << _up); \
X##_f[_i++] = X##_f[7] >> _down; \
} \
for (; _i < 8; ++_i) \
X##_f[_i] = 0; \
/* don't fix the LSB until the very end when we're sure f[0] is \
stable */ \
X##_f[0] |= (_s != 0); \
} \
while (0)
......@@ -30,145 +30,157 @@
<http://www.gnu.org/licenses/>. */
#define _FP_DECL(wc, X) \
_FP_I_TYPE X##_c __attribute__((unused)); \
_FP_I_TYPE X##_s __attribute__((unused)); \
_FP_I_TYPE X##_c __attribute__ ((unused)); \
_FP_I_TYPE X##_s __attribute__ ((unused)); \
_FP_I_TYPE X##_e; \
_FP_FRAC_DECL_##wc(X)
_FP_FRAC_DECL_##wc (X)
/* Test whether the qNaN bit denotes a signaling NaN. */
#define _FP_FRAC_SNANP(fs, X) \
((_FP_QNANNEGATEDP) \
? (_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs) \
: !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs))
#define _FP_FRAC_SNANP_SEMIRAW(fs, X) \
((_FP_QNANNEGATEDP) \
? (_FP_FRAC_HIGH_##fs(X) & _FP_QNANBIT_SH_##fs) \
: !(_FP_FRAC_HIGH_##fs(X) & _FP_QNANBIT_SH_##fs))
#define _FP_FRAC_SNANP(fs, X) \
((_FP_QNANNEGATEDP) \
? (_FP_FRAC_HIGH_RAW_##fs (X) & _FP_QNANBIT_##fs) \
: !(_FP_FRAC_HIGH_RAW_##fs (X) & _FP_QNANBIT_##fs))
#define _FP_FRAC_SNANP_SEMIRAW(fs, X) \
((_FP_QNANNEGATEDP) \
? (_FP_FRAC_HIGH_##fs (X) & _FP_QNANBIT_SH_##fs) \
: !(_FP_FRAC_HIGH_##fs (X) & _FP_QNANBIT_SH_##fs))
/*
* Finish truely unpacking a native fp value by classifying the kind
* Finish truly unpacking a native fp value by classifying the kind
* of fp value and normalizing both the exponent and the fraction.
*/
#define _FP_UNPACK_CANONICAL(fs, wc, X) \
do { \
switch (X##_e) \
{ \
default: \
_FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \
_FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \
X##_e -= _FP_EXPBIAS_##fs; \
X##_c = FP_CLS_NORMAL; \
break; \
\
case 0: \
if (_FP_FRAC_ZEROP_##wc(X)) \
X##_c = FP_CLS_ZERO; \
else \
{ \
/* a denormalized number */ \
_FP_I_TYPE _shift; \
_FP_FRAC_CLZ_##wc(_shift, X); \
_shift -= _FP_FRACXBITS_##fs; \
_FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \
X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \
X##_c = FP_CLS_NORMAL; \
FP_SET_EXCEPTION(FP_EX_DENORM); \
} \
break; \
\
case _FP_EXPMAX_##fs: \
if (_FP_FRAC_ZEROP_##wc(X)) \
X##_c = FP_CLS_INF; \
else \
{ \
X##_c = FP_CLS_NAN; \
/* Check for signaling NaN */ \
if (_FP_FRAC_SNANP(fs, X)) \
FP_SET_EXCEPTION(FP_EX_INVALID); \
} \
break; \
} \
} while (0)
#define _FP_UNPACK_CANONICAL(fs, wc, X) \
do \
{ \
switch (X##_e) \
{ \
default: \
_FP_FRAC_HIGH_RAW_##fs (X) |= _FP_IMPLBIT_##fs; \
_FP_FRAC_SLL_##wc (X, _FP_WORKBITS); \
X##_e -= _FP_EXPBIAS_##fs; \
X##_c = FP_CLS_NORMAL; \
break; \
\
case 0: \
if (_FP_FRAC_ZEROP_##wc (X)) \
X##_c = FP_CLS_ZERO; \
else \
{ \
/* a denormalized number */ \
_FP_I_TYPE _shift; \
_FP_FRAC_CLZ_##wc (_shift, X); \
_shift -= _FP_FRACXBITS_##fs; \
_FP_FRAC_SLL_##wc (X, (_shift+_FP_WORKBITS)); \
X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \
X##_c = FP_CLS_NORMAL; \
FP_SET_EXCEPTION (FP_EX_DENORM); \
} \
break; \
\
case _FP_EXPMAX_##fs: \
if (_FP_FRAC_ZEROP_##wc (X)) \
X##_c = FP_CLS_INF; \
else \
{ \
X##_c = FP_CLS_NAN; \
/* Check for signaling NaN */ \
if (_FP_FRAC_SNANP (fs, X)) \
FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
break; \
} \
} \
while (0)
/* Finish unpacking an fp value in semi-raw mode: the mantissa is
shifted by _FP_WORKBITS but the implicit MSB is not inserted and
other classification is not done. */
#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc(X, _FP_WORKBITS)
#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc (X, _FP_WORKBITS)
/* A semi-raw value has overflowed to infinity. Adjust the mantissa
and exponent appropriately. */
#define _FP_OVERFLOW_SEMIRAW(fs, wc, X) \
do { \
if (FP_ROUNDMODE == FP_RND_NEAREST \
|| (FP_ROUNDMODE == FP_RND_PINF && !X##_s) \
|| (FP_ROUNDMODE == FP_RND_MINF && X##_s)) \
do \
{ \
X##_e = _FP_EXPMAX_##fs; \
_FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
if (FP_ROUNDMODE == FP_RND_NEAREST \
|| (FP_ROUNDMODE == FP_RND_PINF && !X##_s) \
|| (FP_ROUNDMODE == FP_RND_MINF && X##_s)) \
{ \
X##_e = _FP_EXPMAX_##fs; \
_FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
} \
else \
{ \
X##_e = _FP_EXPMAX_##fs - 1; \
_FP_FRAC_SET_##wc (X, _FP_MAXFRAC_##wc); \
} \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
FP_SET_EXCEPTION (FP_EX_OVERFLOW); \
} \
else \
{ \
X##_e = _FP_EXPMAX_##fs - 1; \
_FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \
} \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
FP_SET_EXCEPTION(FP_EX_OVERFLOW); \
} while (0)
while (0)
/* Check for a semi-raw value being a signaling NaN and raise the
invalid exception if so. */
#define _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X) \
do { \
if (X##_e == _FP_EXPMAX_##fs \
&& !_FP_FRAC_ZEROP_##wc(X) \
&& _FP_FRAC_SNANP_SEMIRAW(fs, X)) \
FP_SET_EXCEPTION(FP_EX_INVALID); \
} while (0)
#define _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X) \
do \
{ \
if (X##_e == _FP_EXPMAX_##fs \
&& !_FP_FRAC_ZEROP_##wc (X) \
&& _FP_FRAC_SNANP_SEMIRAW (fs, X)) \
FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
while (0)
/* Choose a NaN result from an operation on two semi-raw NaN
values. */
#define _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP) \
do { \
/* _FP_CHOOSENAN expects raw values, so shift as required. */ \
_FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
_FP_FRAC_SRL_##wc(Y, _FP_WORKBITS); \
_FP_CHOOSENAN(fs, wc, R, X, Y, OP); \
_FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \
} while (0)
do \
{ \
/* _FP_CHOOSENAN expects raw values, so shift as required. */ \
_FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \
_FP_FRAC_SRL_##wc (Y, _FP_WORKBITS); \
_FP_CHOOSENAN (fs, wc, R, X, Y, OP); \
_FP_FRAC_SLL_##wc (R, _FP_WORKBITS); \
} \
while (0)
/* Make the fractional part a quiet NaN, preserving the payload
if possible, otherwise make it the canonical quiet NaN and set
the sign bit accordingly. */
#define _FP_SETQNAN(fs, wc, X) \
do { \
if (_FP_QNANNEGATEDP) \
{ \
_FP_FRAC_HIGH_RAW_##fs(X) &= _FP_QNANBIT_##fs - 1; \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
X##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
} \
} \
else \
_FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \
} while (0)
#define _FP_SETQNAN_SEMIRAW(fs, wc, X) \
do { \
if (_FP_QNANNEGATEDP) \
{ \
_FP_FRAC_HIGH_##fs(X) &= _FP_QNANBIT_SH_##fs - 1; \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
X##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
_FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \
} \
} \
else \
_FP_FRAC_HIGH_##fs(X) |= _FP_QNANBIT_SH_##fs; \
} while (0)
#define _FP_SETQNAN(fs, wc, X) \
do \
{ \
if (_FP_QNANNEGATEDP) \
{ \
_FP_FRAC_HIGH_RAW_##fs (X) &= _FP_QNANBIT_##fs - 1; \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
X##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \
} \
} \
else \
_FP_FRAC_HIGH_RAW_##fs (X) |= _FP_QNANBIT_##fs; \
} \
while (0)
#define _FP_SETQNAN_SEMIRAW(fs, wc, X) \
do \
{ \
if (_FP_QNANNEGATEDP) \
{ \
_FP_FRAC_HIGH_##fs (X) &= _FP_QNANBIT_SH_##fs - 1; \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
X##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \
_FP_FRAC_SLL_##wc (X, _FP_WORKBITS); \
} \
} \
else \
_FP_FRAC_HIGH_##fs (X) |= _FP_QNANBIT_SH_##fs; \
} \
while (0)
/* Test whether a biased exponent is normal (not zero or maximum). */
#define _FP_EXP_NORMAL(fs, wc, X) (((X##_e + 1) & _FP_EXPMAX_##fs) > 1)
......@@ -177,34 +189,36 @@ do { \
rounded and shifted right, with the rounding possibly increasing
the exponent (including changing a finite value to infinity). */
#define _FP_PACK_SEMIRAW(fs, wc, X) \
do { \
_FP_ROUND(wc, X); \
if (X##_e == 0 && !_FP_FRAC_ZEROP_##wc(X)) \
{ \
do \
{ \
_FP_ROUND (wc, X); \
if (X##_e == 0 && !_FP_FRAC_ZEROP_##wc (X)) \
{ \
if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \
|| (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \
FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \
} \
if (_FP_FRAC_HIGH_##fs(X) \
& (_FP_OVERFLOW_##fs >> 1)) \
{ \
_FP_FRAC_HIGH_##fs(X) &= ~(_FP_OVERFLOW_##fs >> 1); \
X##_e++; \
if (X##_e == _FP_EXPMAX_##fs) \
_FP_OVERFLOW_SEMIRAW(fs, wc, X); \
} \
_FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
if (X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
{ \
if (!_FP_KEEPNANFRACP) \
FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \
} \
if (_FP_FRAC_HIGH_##fs (X) \
& (_FP_OVERFLOW_##fs >> 1)) \
{ \
_FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
X##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_HIGH_##fs (X) &= ~(_FP_OVERFLOW_##fs >> 1); \
X##_e++; \
if (X##_e == _FP_EXPMAX_##fs) \
_FP_OVERFLOW_SEMIRAW (fs, wc, X); \
} \
_FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \
if (X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \
{ \
if (!_FP_KEEPNANFRACP) \
{ \
_FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \
X##_s = _FP_NANSIGN_##fs; \
} \
else \
_FP_SETQNAN (fs, wc, X); \
} \
else \
_FP_SETQNAN(fs, wc, X); \
} \
} while (0)
while (0)
/*
* Before packing the bits back into the native fp result, take care
......@@ -213,701 +227,927 @@ do { \
* extracted -- but that is ok, we can regenerate them now.
*/
#define _FP_PACK_CANONICAL(fs, wc, X) \
do { \
switch (X##_c) \
{ \
case FP_CLS_NORMAL: \
X##_e += _FP_EXPBIAS_##fs; \
if (X##_e > 0) \
{ \
_FP_ROUND(wc, X); \
if (_FP_FRAC_OVERP_##wc(fs, X)) \
{ \
_FP_FRAC_CLEAR_OVERP_##wc(fs, X); \
X##_e++; \
} \
_FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
if (X##_e >= _FP_EXPMAX_##fs) \
{ \
/* overflow */ \
switch (FP_ROUNDMODE) \
{ \
case FP_RND_NEAREST: \
X##_c = FP_CLS_INF; \
break; \
case FP_RND_PINF: \
if (!X##_s) X##_c = FP_CLS_INF; \
break; \
case FP_RND_MINF: \
if (X##_s) X##_c = FP_CLS_INF; \
break; \
} \
if (X##_c == FP_CLS_INF) \
{ \
/* Overflow to infinity */ \
X##_e = _FP_EXPMAX_##fs; \
_FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
} \
else \
{ \
/* Overflow to maximum normal */ \
X##_e = _FP_EXPMAX_##fs - 1; \
_FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \
} \
FP_SET_EXCEPTION(FP_EX_OVERFLOW); \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
} \
} \
else \
{ \
/* we've got a denormalized number */ \
X##_e = -X##_e + 1; \
if (X##_e <= _FP_WFRACBITS_##fs) \
{ \
_FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs); \
_FP_ROUND(wc, X); \
if (_FP_FRAC_HIGH_##fs(X) \
& (_FP_OVERFLOW_##fs >> 1)) \
{ \
X##_e = 1; \
_FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
} \
else \
{ \
X##_e = 0; \
_FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
} \
if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \
|| (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \
FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \
} \
else \
{ \
/* underflow to zero */ \
X##_e = 0; \
if (!_FP_FRAC_ZEROP_##wc(X)) \
{ \
_FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
_FP_ROUND(wc, X); \
_FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \
} \
FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \
} \
} \
break; \
\
case FP_CLS_ZERO: \
X##_e = 0; \
_FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
break; \
\
case FP_CLS_INF: \
X##_e = _FP_EXPMAX_##fs; \
_FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
break; \
\
case FP_CLS_NAN: \
X##_e = _FP_EXPMAX_##fs; \
if (!_FP_KEEPNANFRACP) \
{ \
_FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
X##_s = _FP_NANSIGN_##fs; \
} \
else \
_FP_SETQNAN(fs, wc, X); \
break; \
} \
} while (0)
#define _FP_PACK_CANONICAL(fs, wc, X) \
do \
{ \
switch (X##_c) \
{ \
case FP_CLS_NORMAL: \
X##_e += _FP_EXPBIAS_##fs; \
if (X##_e > 0) \
{ \
_FP_ROUND (wc, X); \
if (_FP_FRAC_OVERP_##wc (fs, X)) \
{ \
_FP_FRAC_CLEAR_OVERP_##wc (fs, X); \
X##_e++; \
} \
_FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \
if (X##_e >= _FP_EXPMAX_##fs) \
{ \
/* overflow */ \
switch (FP_ROUNDMODE) \
{ \
case FP_RND_NEAREST: \
X##_c = FP_CLS_INF; \
break; \
case FP_RND_PINF: \
if (!X##_s) \
X##_c = FP_CLS_INF; \
break; \
case FP_RND_MINF: \
if (X##_s) \
X##_c = FP_CLS_INF; \
break; \
} \
if (X##_c == FP_CLS_INF) \
{ \
/* Overflow to infinity */ \
X##_e = _FP_EXPMAX_##fs; \
_FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
} \
else \
{ \
/* Overflow to maximum normal */ \
X##_e = _FP_EXPMAX_##fs - 1; \
_FP_FRAC_SET_##wc (X, _FP_MAXFRAC_##wc); \
} \
FP_SET_EXCEPTION (FP_EX_OVERFLOW); \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
} \
} \
else \
{ \
/* we've got a denormalized number */ \
X##_e = -X##_e + 1; \
if (X##_e <= _FP_WFRACBITS_##fs) \
{ \
_FP_FRAC_SRS_##wc (X, X##_e, _FP_WFRACBITS_##fs); \
_FP_ROUND (wc, X); \
if (_FP_FRAC_HIGH_##fs (X) \
& (_FP_OVERFLOW_##fs >> 1)) \
{ \
X##_e = 1; \
_FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
} \
else \
{ \
X##_e = 0; \
_FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \
} \
if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \
|| (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \
FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \
} \
else \
{ \
/* underflow to zero */ \
X##_e = 0; \
if (!_FP_FRAC_ZEROP_##wc (X)) \
{ \
_FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \
_FP_ROUND (wc, X); \
_FP_FRAC_LOW_##wc (X) >>= (_FP_WORKBITS); \
} \
FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \
} \
} \
break; \
\
case FP_CLS_ZERO: \
X##_e = 0; \
_FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
break; \
\
case FP_CLS_INF: \
X##_e = _FP_EXPMAX_##fs; \
_FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
break; \
\
case FP_CLS_NAN: \
X##_e = _FP_EXPMAX_##fs; \
if (!_FP_KEEPNANFRACP) \
{ \
_FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \
X##_s = _FP_NANSIGN_##fs; \
} \
else \
_FP_SETQNAN (fs, wc, X); \
break; \
} \
} \
while (0)
/* This one accepts raw argument and not cooked, returns
* 1 if X is a signaling NaN.
*/
#define _FP_ISSIGNAN(fs, wc, X) \
({ \
int __ret = 0; \
if (X##_e == _FP_EXPMAX_##fs) \
{ \
if (!_FP_FRAC_ZEROP_##wc(X) \
&& _FP_FRAC_SNANP(fs, X)) \
__ret = 1; \
} \
__ret; \
})
#define _FP_ISSIGNAN(fs, wc, X) \
({ \
int __ret = 0; \
if (X##_e == _FP_EXPMAX_##fs) \
{ \
if (!_FP_FRAC_ZEROP_##wc (X) \
&& _FP_FRAC_SNANP (fs, X)) \
__ret = 1; \
} \
__ret; \
})
/* Addition on semi-raw values. */
#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
do { \
if (X##_s == Y##_s) \
{ \
/* Addition. */ \
R##_s = X##_s; \
int ediff = X##_e - Y##_e; \
if (ediff > 0) \
{ \
R##_e = X##_e; \
if (Y##_e == 0) \
{ \
/* Y is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc(Y)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_FRAC_COPY_##wc(R, X); \
goto add_done; \
} \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_ADD_##wc(R, X, Y); \
goto add3; \
} \
if (X##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_FRAC_COPY_##wc(R, X); \
goto add_done; \
} \
goto add1; \
} \
} \
else if (X##_e == _FP_EXPMAX_##fs) \
{ \
/* X is NaN or Inf, Y is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_FRAC_COPY_##wc(R, X); \
goto add_done; \
} \
\
/* Insert implicit MSB of Y. */ \
_FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \
\
add1: \
/* Shift the mantissa of Y to the right EDIFF steps; \
remember to account later for the implicit MSB of X. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc(Y)) \
_FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
_FP_FRAC_ADD_##wc(R, X, Y); \
} \
else if (ediff < 0) \
{ \
ediff = -ediff; \
R##_e = Y##_e; \
if (X##_e == 0) \
{ \
/* X is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
_FP_FRAC_COPY_##wc(R, Y); \
goto add_done; \
} \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_ADD_##wc(R, Y, X); \
goto add3; \
} \
if (Y##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
_FP_FRAC_COPY_##wc(R, Y); \
goto add_done; \
} \
goto add2; \
} \
} \
else if (Y##_e == _FP_EXPMAX_##fs) \
{ \
/* Y is NaN or Inf, X is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
_FP_FRAC_COPY_##wc(R, Y); \
goto add_done; \
} \
\
/* Insert implicit MSB of X. */ \
_FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \
\
add2: \
/* Shift the mantissa of X to the right EDIFF steps; \
remember to account later for the implicit MSB of Y. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc(X)) \
_FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
_FP_FRAC_ADD_##wc(R, Y, X); \
} \
else \
{ \
/* ediff == 0. */ \
if (!_FP_EXP_NORMAL(fs, wc, X)) \
{ \
if (X##_e == 0) \
{ \
/* X and Y are zero or denormalized. */ \
R##_e = 0; \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
if (!_FP_FRAC_ZEROP_##wc(Y)) \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_COPY_##wc(R, Y); \
goto add_done; \
} \
else if (_FP_FRAC_ZEROP_##wc(Y)) \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_COPY_##wc(R, X); \
goto add_done; \
} \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_ADD_##wc(R, X, Y); \
if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* Normalized result. */ \
_FP_FRAC_HIGH_##fs(R) \
&= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
R##_e = 1; \
} \
goto add_done; \
} \
} \
else \
{ \
/* X and Y are NaN or Inf. */ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
R##_e = _FP_EXPMAX_##fs; \
if (_FP_FRAC_ZEROP_##wc(X)) \
_FP_FRAC_COPY_##wc(R, Y); \
else if (_FP_FRAC_ZEROP_##wc(Y)) \
_FP_FRAC_COPY_##wc(R, X); \
else \
_FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \
goto add_done; \
} \
} \
/* The exponents of X and Y, both normal, are equal. The \
implicit MSBs will always add to increase the \
exponent. */ \
_FP_FRAC_ADD_##wc(R, X, Y); \
R##_e = X##_e + 1; \
_FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
if (R##_e == _FP_EXPMAX_##fs) \
/* Overflow to infinity (depending on rounding mode). */ \
_FP_OVERFLOW_SEMIRAW(fs, wc, R); \
goto add_done; \
} \
add3: \
if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* Overflow. */ \
_FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
R##_e++; \
_FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
if (R##_e == _FP_EXPMAX_##fs) \
/* Overflow to infinity (depending on rounding mode). */ \
_FP_OVERFLOW_SEMIRAW(fs, wc, R); \
} \
add_done: ; \
} \
else \
{ \
/* Subtraction. */ \
int ediff = X##_e - Y##_e; \
if (ediff > 0) \
{ \
R##_e = X##_e; \
R##_s = X##_s; \
if (Y##_e == 0) \
{ \
/* Y is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc(Y)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_FRAC_COPY_##wc(R, X); \
goto sub_done; \
} \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_SUB_##wc(R, X, Y); \
goto sub3; \
} \
if (X##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_FRAC_COPY_##wc(R, X); \
goto sub_done; \
} \
goto sub1; \
} \
} \
else if (X##_e == _FP_EXPMAX_##fs) \
{ \
/* X is NaN or Inf, Y is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_FRAC_COPY_##wc(R, X); \
goto sub_done; \
} \
\
/* Insert implicit MSB of Y. */ \
_FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \
\
sub1: \
/* Shift the mantissa of Y to the right EDIFF steps; \
remember to account later for the implicit MSB of X. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc(Y)) \
_FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
_FP_FRAC_SUB_##wc(R, X, Y); \
} \
else if (ediff < 0) \
{ \
ediff = -ediff; \
R##_e = Y##_e; \
R##_s = Y##_s; \
if (X##_e == 0) \
{ \
/* X is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
_FP_FRAC_COPY_##wc(R, Y); \
goto sub_done; \
} \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_SUB_##wc(R, Y, X); \
goto sub3; \
} \
if (Y##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
_FP_FRAC_COPY_##wc(R, Y); \
goto sub_done; \
} \
goto sub2; \
} \
} \
else if (Y##_e == _FP_EXPMAX_##fs) \
{ \
/* Y is NaN or Inf, X is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
_FP_FRAC_COPY_##wc(R, Y); \
goto sub_done; \
} \
\
/* Insert implicit MSB of X. */ \
_FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \
\
sub2: \
/* Shift the mantissa of X to the right EDIFF steps; \
remember to account later for the implicit MSB of Y. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc(X)) \
_FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
_FP_FRAC_SUB_##wc(R, Y, X); \
} \
else \
{ \
/* ediff == 0. */ \
if (!_FP_EXP_NORMAL(fs, wc, X)) \
{ \
if (X##_e == 0) \
{ \
/* X and Y are zero or denormalized. */ \
R##_e = 0; \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
_FP_FRAC_COPY_##wc(R, Y); \
if (_FP_FRAC_ZEROP_##wc(Y)) \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
R##_s = Y##_s; \
} \
goto sub_done; \
} \
else if (_FP_FRAC_ZEROP_##wc(Y)) \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_COPY_##wc(R, X); \
R##_s = X##_s; \
goto sub_done; \
} \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_SUB_##wc(R, X, Y); \
R##_s = X##_s; \
if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* |X| < |Y|, negate result. */ \
_FP_FRAC_SUB_##wc(R, Y, X); \
R##_s = Y##_s; \
} \
else if (_FP_FRAC_ZEROP_##wc(R)) \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
goto sub_done; \
} \
} \
else \
{ \
/* X and Y are NaN or Inf, of opposite signs. */ \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
_FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
R##_e = _FP_EXPMAX_##fs; \
if (_FP_FRAC_ZEROP_##wc(X)) \
{ \
if (_FP_FRAC_ZEROP_##wc(Y)) \
{ \
/* Inf - Inf. */ \
R##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
_FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \
FP_SET_EXCEPTION(FP_EX_INVALID); \
} \
else \
{ \
/* Inf - NaN. */ \
R##_s = Y##_s; \
_FP_FRAC_COPY_##wc(R, Y); \
} \
} \
else \
{ \
if (_FP_FRAC_ZEROP_##wc(Y)) \
{ \
/* NaN - Inf. */ \
R##_s = X##_s; \
_FP_FRAC_COPY_##wc(R, X); \
} \
else \
{ \
/* NaN - NaN. */ \
_FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \
} \
} \
goto sub_done; \
} \
} \
/* The exponents of X and Y, both normal, are equal. The \
implicit MSBs cancel. */ \
R##_e = X##_e; \
_FP_FRAC_SUB_##wc(R, X, Y); \
R##_s = X##_s; \
if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* |X| < |Y|, negate result. */ \
_FP_FRAC_SUB_##wc(R, Y, X); \
R##_s = Y##_s; \
} \
else if (_FP_FRAC_ZEROP_##wc(R)) \
{ \
R##_e = 0; \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
goto sub_done; \
} \
goto norm; \
} \
sub3: \
if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
{ \
int diff; \
/* Carry into most significant bit of larger one of X and Y, \
canceling it; renormalize. */ \
_FP_FRAC_HIGH_##fs(R) &= _FP_IMPLBIT_SH_##fs - 1; \
norm: \
_FP_FRAC_CLZ_##wc(diff, R); \
diff -= _FP_WFRACXBITS_##fs; \
_FP_FRAC_SLL_##wc(R, diff); \
if (R##_e <= diff) \
{ \
/* R is denormalized. */ \
diff = diff - R##_e + 1; \
_FP_FRAC_SRS_##wc(R, diff, _FP_WFRACBITS_##fs); \
R##_e = 0; \
} \
else \
{ \
R##_e -= diff; \
_FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
} \
} \
sub_done: ; \
} \
} while (0)
#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
do \
{ \
if (X##_s == Y##_s) \
{ \
/* Addition. */ \
R##_s = X##_s; \
int ediff = X##_e - Y##_e; \
if (ediff > 0) \
{ \
R##_e = X##_e; \
if (Y##_e == 0) \
{ \
/* Y is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc (Y)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_FRAC_COPY_##wc (R, X); \
goto add_done; \
} \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_ADD_##wc (R, X, Y); \
goto add3; \
} \
if (X##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_FRAC_COPY_##wc (R, X); \
goto add_done; \
} \
goto add1; \
} \
} \
else if (X##_e == _FP_EXPMAX_##fs) \
{ \
/* X is NaN or Inf, Y is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_FRAC_COPY_##wc (R, X); \
goto add_done; \
} \
\
/* Insert implicit MSB of Y. */ \
_FP_FRAC_HIGH_##fs (Y) |= _FP_IMPLBIT_SH_##fs; \
\
add1: \
/* Shift the mantissa of Y to the right EDIFF steps; \
remember to account later for the implicit MSB of X. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc (Y, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc (Y)) \
_FP_FRAC_SET_##wc (Y, _FP_MINFRAC_##wc); \
_FP_FRAC_ADD_##wc (R, X, Y); \
} \
else if (ediff < 0) \
{ \
ediff = -ediff; \
R##_e = Y##_e; \
if (X##_e == 0) \
{ \
/* X is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
_FP_FRAC_COPY_##wc (R, Y); \
goto add_done; \
} \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_ADD_##wc (R, Y, X); \
goto add3; \
} \
if (Y##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
_FP_FRAC_COPY_##wc (R, Y); \
goto add_done; \
} \
goto add2; \
} \
} \
else if (Y##_e == _FP_EXPMAX_##fs) \
{ \
/* Y is NaN or Inf, X is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
_FP_FRAC_COPY_##wc (R, Y); \
goto add_done; \
} \
\
/* Insert implicit MSB of X. */ \
_FP_FRAC_HIGH_##fs (X) |= _FP_IMPLBIT_SH_##fs; \
\
add2: \
/* Shift the mantissa of X to the right EDIFF steps; \
remember to account later for the implicit MSB of Y. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc (X, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc (X)) \
_FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \
_FP_FRAC_ADD_##wc (R, Y, X); \
} \
else \
{ \
/* ediff == 0. */ \
if (!_FP_EXP_NORMAL (fs, wc, X)) \
{ \
if (X##_e == 0) \
{ \
/* X and Y are zero or denormalized. */ \
R##_e = 0; \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
if (!_FP_FRAC_ZEROP_##wc (Y)) \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_COPY_##wc (R, Y); \
goto add_done; \
} \
else if (_FP_FRAC_ZEROP_##wc (Y)) \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_COPY_##wc (R, X); \
goto add_done; \
} \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_ADD_##wc (R, X, Y); \
if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* Normalized result. */ \
_FP_FRAC_HIGH_##fs (R) \
&= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
R##_e = 1; \
} \
goto add_done; \
} \
} \
else \
{ \
/* X and Y are NaN or Inf. */ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
R##_e = _FP_EXPMAX_##fs; \
if (_FP_FRAC_ZEROP_##wc (X)) \
_FP_FRAC_COPY_##wc (R, Y); \
else if (_FP_FRAC_ZEROP_##wc (Y)) \
_FP_FRAC_COPY_##wc (R, X); \
else \
_FP_CHOOSENAN_SEMIRAW (fs, wc, R, X, Y, OP); \
goto add_done; \
} \
} \
/* The exponents of X and Y, both normal, are equal. The \
implicit MSBs will always add to increase the \
exponent. */ \
_FP_FRAC_ADD_##wc (R, X, Y); \
R##_e = X##_e + 1; \
_FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
if (R##_e == _FP_EXPMAX_##fs) \
/* Overflow to infinity (depending on rounding mode). */ \
_FP_OVERFLOW_SEMIRAW (fs, wc, R); \
goto add_done; \
} \
add3: \
if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* Overflow. */ \
_FP_FRAC_HIGH_##fs (R) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
R##_e++; \
_FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
if (R##_e == _FP_EXPMAX_##fs) \
/* Overflow to infinity (depending on rounding mode). */ \
_FP_OVERFLOW_SEMIRAW (fs, wc, R); \
} \
add_done: ; \
} \
else \
{ \
/* Subtraction. */ \
int ediff = X##_e - Y##_e; \
if (ediff > 0) \
{ \
R##_e = X##_e; \
R##_s = X##_s; \
if (Y##_e == 0) \
{ \
/* Y is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc (Y)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_FRAC_COPY_##wc (R, X); \
goto sub_done; \
} \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_SUB_##wc (R, X, Y); \
goto sub3; \
} \
if (X##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_FRAC_COPY_##wc (R, X); \
goto sub_done; \
} \
goto sub1; \
} \
} \
else if (X##_e == _FP_EXPMAX_##fs) \
{ \
/* X is NaN or Inf, Y is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_FRAC_COPY_##wc (R, X); \
goto sub_done; \
} \
\
/* Insert implicit MSB of Y. */ \
_FP_FRAC_HIGH_##fs (Y) |= _FP_IMPLBIT_SH_##fs; \
\
sub1: \
/* Shift the mantissa of Y to the right EDIFF steps; \
remember to account later for the implicit MSB of X. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc (Y, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc (Y)) \
_FP_FRAC_SET_##wc (Y, _FP_MINFRAC_##wc); \
_FP_FRAC_SUB_##wc (R, X, Y); \
} \
else if (ediff < 0) \
{ \
ediff = -ediff; \
R##_e = Y##_e; \
R##_s = Y##_s; \
if (X##_e == 0) \
{ \
/* X is zero or denormalized. */ \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
_FP_FRAC_COPY_##wc (R, Y); \
goto sub_done; \
} \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
ediff--; \
if (ediff == 0) \
{ \
_FP_FRAC_SUB_##wc (R, Y, X); \
goto sub3; \
} \
if (Y##_e == _FP_EXPMAX_##fs) \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
_FP_FRAC_COPY_##wc (R, Y); \
goto sub_done; \
} \
goto sub2; \
} \
} \
else if (Y##_e == _FP_EXPMAX_##fs) \
{ \
/* Y is NaN or Inf, X is normal. */ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
_FP_FRAC_COPY_##wc (R, Y); \
goto sub_done; \
} \
\
/* Insert implicit MSB of X. */ \
_FP_FRAC_HIGH_##fs (X) |= _FP_IMPLBIT_SH_##fs; \
\
sub2: \
/* Shift the mantissa of X to the right EDIFF steps; \
remember to account later for the implicit MSB of Y. */ \
if (ediff <= _FP_WFRACBITS_##fs) \
_FP_FRAC_SRS_##wc (X, ediff, _FP_WFRACBITS_##fs); \
else if (!_FP_FRAC_ZEROP_##wc (X)) \
_FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \
_FP_FRAC_SUB_##wc (R, Y, X); \
} \
else \
{ \
/* ediff == 0. */ \
if (!_FP_EXP_NORMAL (fs, wc, X)) \
{ \
if (X##_e == 0) \
{ \
/* X and Y are zero or denormalized. */ \
R##_e = 0; \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
_FP_FRAC_COPY_##wc (R, Y); \
if (_FP_FRAC_ZEROP_##wc (Y)) \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
R##_s = Y##_s; \
} \
goto sub_done; \
} \
else if (_FP_FRAC_ZEROP_##wc (Y)) \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_COPY_##wc (R, X); \
R##_s = X##_s; \
goto sub_done; \
} \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_SUB_##wc (R, X, Y); \
R##_s = X##_s; \
if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* |X| < |Y|, negate result. */ \
_FP_FRAC_SUB_##wc (R, Y, X); \
R##_s = Y##_s; \
} \
else if (_FP_FRAC_ZEROP_##wc (R)) \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
goto sub_done; \
} \
} \
else \
{ \
/* X and Y are NaN or Inf, of opposite signs. */ \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
_FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
R##_e = _FP_EXPMAX_##fs; \
if (_FP_FRAC_ZEROP_##wc (X)) \
{ \
if (_FP_FRAC_ZEROP_##wc (Y)) \
{ \
/* Inf - Inf. */ \
R##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
_FP_FRAC_SLL_##wc (R, _FP_WORKBITS); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
else \
{ \
/* Inf - NaN. */ \
R##_s = Y##_s; \
_FP_FRAC_COPY_##wc (R, Y); \
} \
} \
else \
{ \
if (_FP_FRAC_ZEROP_##wc (Y)) \
{ \
/* NaN - Inf. */ \
R##_s = X##_s; \
_FP_FRAC_COPY_##wc (R, X); \
} \
else \
{ \
/* NaN - NaN. */ \
_FP_CHOOSENAN_SEMIRAW (fs, wc, R, X, Y, OP); \
} \
} \
goto sub_done; \
} \
} \
/* The exponents of X and Y, both normal, are equal. The \
implicit MSBs cancel. */ \
R##_e = X##_e; \
_FP_FRAC_SUB_##wc (R, X, Y); \
R##_s = X##_s; \
if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
{ \
/* |X| < |Y|, negate result. */ \
_FP_FRAC_SUB_##wc (R, Y, X); \
R##_s = Y##_s; \
} \
else if (_FP_FRAC_ZEROP_##wc (R)) \
{ \
R##_e = 0; \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
goto sub_done; \
} \
goto norm; \
} \
sub3: \
if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
{ \
int diff; \
/* Carry into most significant bit of larger one of X and Y, \
canceling it; renormalize. */ \
_FP_FRAC_HIGH_##fs (R) &= _FP_IMPLBIT_SH_##fs - 1; \
norm: \
_FP_FRAC_CLZ_##wc (diff, R); \
diff -= _FP_WFRACXBITS_##fs; \
_FP_FRAC_SLL_##wc (R, diff); \
if (R##_e <= diff) \
{ \
/* R is denormalized. */ \
diff = diff - R##_e + 1; \
_FP_FRAC_SRS_##wc (R, diff, _FP_WFRACBITS_##fs); \
R##_e = 0; \
} \
else \
{ \
R##_e -= diff; \
_FP_FRAC_HIGH_##fs (R) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
} \
} \
sub_done: ; \
} \
} \
while (0)
#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')
#define _FP_SUB(fs, wc, R, X, Y) \
do { \
if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) Y##_s ^= 1; \
_FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \
} while (0)
#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL (fs, wc, R, X, Y, '+')
#define _FP_SUB(fs, wc, R, X, Y) \
do \
{ \
if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \
Y##_s ^= 1; \
_FP_ADD_INTERNAL (fs, wc, R, X, Y, '-'); \
} \
while (0)
/*
* Main negation routine. FIXME -- when we care about setting exception
* bits reliably, this will not do. We should examine all of the fp classes.
* Main negation routine. The input value is raw.
*/
#define _FP_NEG(fs, wc, R, X) \
do { \
_FP_FRAC_COPY_##wc(R, X); \
R##_c = X##_c; \
R##_e = X##_e; \
R##_s = 1 ^ X##_s; \
} while (0)
#define _FP_NEG(fs, wc, R, X) \
do \
{ \
_FP_FRAC_COPY_##wc (R, X); \
R##_e = X##_e; \
R##_s = 1 ^ X##_s; \
} \
while (0)
/*
* Main multiplication routine. The input values should be cooked.
*/
#define _FP_MUL(fs, wc, R, X, Y) \
do { \
R##_s = X##_s ^ Y##_s; \
R##_e = X##_e + Y##_e + 1; \
switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
{ \
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
R##_c = FP_CLS_NORMAL; \
\
_FP_MUL_MEAT_##fs(R,X,Y); \
\
if (_FP_FRAC_OVERP_##wc(fs, R)) \
_FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
else \
R##_e--; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
_FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
R##_s = X##_s; \
\
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
_FP_FRAC_COPY_##wc(R, X); \
R##_c = X##_c; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
R##_s = Y##_s; \
\
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
_FP_FRAC_COPY_##wc(R, Y); \
R##_c = Y##_c; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; \
_FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION(FP_EX_INVALID); \
break; \
\
default: \
abort(); \
} \
} while (0)
#define _FP_MUL(fs, wc, R, X, Y) \
do \
{ \
R##_s = X##_s ^ Y##_s; \
R##_e = X##_e + Y##_e + 1; \
switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \
{ \
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \
R##_c = FP_CLS_NORMAL; \
\
_FP_MUL_MEAT_##fs (R, X, Y); \
\
if (_FP_FRAC_OVERP_##wc (fs, R)) \
_FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
else \
R##_e--; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
_FP_CHOOSENAN (fs, wc, R, X, Y, '*'); \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
R##_s = X##_s; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
_FP_FRAC_COPY_##wc (R, X); \
R##_c = X##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
R##_s = Y##_s; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \
_FP_FRAC_COPY_##wc (R, Y); \
R##_c = Y##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; \
_FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
break; \
\
default: \
abort (); \
} \
} \
while (0)
/* Fused multiply-add. The input values should be cooked. */
#define _FP_FMA(fs, wc, dwc, R, X, Y, Z) \
do \
{ \
FP_DECL_##fs (T); \
T##_s = X##_s ^ Y##_s; \
T##_e = X##_e + Y##_e + 1; \
switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \
{ \
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \
switch (Z##_c) \
{ \
case FP_CLS_INF: \
case FP_CLS_NAN: \
R##_s = Z##_s; \
_FP_FRAC_COPY_##wc (R, Z); \
R##_c = Z##_c; \
break; \
\
case FP_CLS_ZERO: \
R##_c = FP_CLS_NORMAL; \
R##_s = T##_s; \
R##_e = T##_e; \
\
_FP_MUL_MEAT_##fs (R, X, Y); \
\
if (_FP_FRAC_OVERP_##wc (fs, R)) \
_FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
else \
R##_e--; \
break; \
\
case FP_CLS_NORMAL:; \
_FP_FRAC_DECL_##dwc (TD); \
_FP_FRAC_DECL_##dwc (ZD); \
_FP_FRAC_DECL_##dwc (RD); \
_FP_MUL_MEAT_DW_##fs (TD, X, Y); \
R##_e = T##_e; \
int tsh = _FP_FRAC_HIGHBIT_DW_##dwc (fs, TD) == 0; \
T##_e -= tsh; \
int ediff = T##_e - Z##_e; \
if (ediff >= 0) \
{ \
int shift = _FP_WFRACBITS_##fs - tsh - ediff; \
if (shift <= -_FP_WFRACBITS_##fs) \
_FP_FRAC_SET_##dwc (ZD, _FP_MINFRAC_##dwc); \
else \
{ \
_FP_FRAC_COPY_##dwc##_##wc (ZD, Z); \
if (shift < 0) \
_FP_FRAC_SRS_##dwc (ZD, -shift, \
_FP_WFRACBITS_DW_##fs); \
else if (shift > 0) \
_FP_FRAC_SLL_##dwc (ZD, shift); \
} \
R##_s = T##_s; \
if (T##_s == Z##_s) \
_FP_FRAC_ADD_##dwc (RD, TD, ZD); \
else \
{ \
_FP_FRAC_SUB_##dwc (RD, TD, ZD); \
if (_FP_FRAC_NEGP_##dwc (RD)) \
{ \
R##_s = Z##_s; \
_FP_FRAC_SUB_##dwc (RD, ZD, TD); \
} \
} \
} \
else \
{ \
R##_e = Z##_e; \
R##_s = Z##_s; \
_FP_FRAC_COPY_##dwc##_##wc (ZD, Z); \
_FP_FRAC_SLL_##dwc (ZD, _FP_WFRACBITS_##fs); \
int shift = -ediff - tsh; \
if (shift >= _FP_WFRACBITS_DW_##fs) \
_FP_FRAC_SET_##dwc (TD, _FP_MINFRAC_##dwc); \
else if (shift > 0) \
_FP_FRAC_SRS_##dwc (TD, shift, \
_FP_WFRACBITS_DW_##fs); \
if (Z##_s == T##_s) \
_FP_FRAC_ADD_##dwc (RD, ZD, TD); \
else \
_FP_FRAC_SUB_##dwc (RD, ZD, TD); \
} \
if (_FP_FRAC_ZEROP_##dwc (RD)) \
{ \
if (T##_s == Z##_s) \
R##_s = Z##_s; \
else \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
_FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \
R##_c = FP_CLS_ZERO; \
} \
else \
{ \
int rlz; \
_FP_FRAC_CLZ_##dwc (rlz, RD); \
rlz -= _FP_WFRACXBITS_DW_##fs; \
R##_e -= rlz; \
int shift = _FP_WFRACBITS_##fs - rlz; \
if (shift > 0) \
_FP_FRAC_SRS_##dwc (RD, shift, \
_FP_WFRACBITS_DW_##fs); \
else if (shift < 0) \
_FP_FRAC_SLL_##dwc (RD, -shift); \
_FP_FRAC_COPY_##wc##_##dwc (R, RD); \
R##_c = FP_CLS_NORMAL; \
} \
break; \
} \
goto done_fma; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
_FP_CHOOSENAN (fs, wc, T, X, Y, '*'); \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
T##_s = X##_s; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
_FP_FRAC_COPY_##wc (T, X); \
T##_c = X##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
T##_s = Y##_s; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \
_FP_FRAC_COPY_##wc (T, Y); \
T##_c = Y##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
T##_s = _FP_NANSIGN_##fs; \
T##_c = FP_CLS_NAN; \
_FP_FRAC_SET_##wc (T, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
break; \
\
default: \
abort (); \
} \
\
/* T = X * Y is zero, infinity or NaN. */ \
switch (_FP_CLS_COMBINE (T##_c, Z##_c)) \
{ \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
_FP_CHOOSENAN (fs, wc, R, T, Z, '+'); \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
R##_s = T##_s; \
_FP_FRAC_COPY_##wc (R, T); \
R##_c = T##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
R##_s = Z##_s; \
_FP_FRAC_COPY_##wc (R, Z); \
R##_c = Z##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
if (T##_s == Z##_s) \
{ \
R##_s = Z##_s; \
_FP_FRAC_COPY_##wc (R, Z); \
R##_c = Z##_c; \
} \
else \
{ \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; \
_FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
if (T##_s == Z##_s) \
R##_s = Z##_s; \
else \
R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
_FP_FRAC_COPY_##wc (R, Z); \
R##_c = Z##_c; \
break; \
\
default: \
abort (); \
} \
done_fma: ; \
} \
while (0)
/*
* Main division routine. The input values should be cooked.
*/
#define _FP_DIV(fs, wc, R, X, Y) \
do { \
R##_s = X##_s ^ Y##_s; \
R##_e = X##_e - Y##_e; \
switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
{ \
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
R##_c = FP_CLS_NORMAL; \
\
_FP_DIV_MEAT_##fs(R,X,Y); \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
_FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
R##_s = X##_s; \
_FP_FRAC_COPY_##wc(R, X); \
R##_c = X##_c; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
R##_s = Y##_s; \
_FP_FRAC_COPY_##wc(R, Y); \
R##_c = Y##_c; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
R##_c = FP_CLS_ZERO; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
FP_SET_EXCEPTION(FP_EX_DIVZERO); \
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
R##_c = FP_CLS_INF; \
break; \
\
case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; \
_FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION(FP_EX_INVALID); \
break; \
\
default: \
abort(); \
} \
} while (0)
#define _FP_DIV(fs, wc, R, X, Y) \
do \
{ \
R##_s = X##_s ^ Y##_s; \
R##_e = X##_e - Y##_e; \
switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \
{ \
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \
R##_c = FP_CLS_NORMAL; \
\
_FP_DIV_MEAT_##fs (R, X, Y); \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
_FP_CHOOSENAN (fs, wc, R, X, Y, '/'); \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
R##_s = X##_s; \
_FP_FRAC_COPY_##wc (R, X); \
R##_c = X##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
R##_s = Y##_s; \
_FP_FRAC_COPY_##wc (R, Y); \
R##_c = Y##_c; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
R##_c = FP_CLS_ZERO; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \
FP_SET_EXCEPTION (FP_EX_DIVZERO); \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
R##_c = FP_CLS_INF; \
break; \
\
case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; \
_FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
break; \
\
default: \
abort (); \
} \
} \
while (0)
/*
......@@ -916,122 +1156,131 @@ do { \
*/
#define _FP_CMP(fs, wc, ret, X, Y, un) \
do { \
/* NANs are unordered */ \
if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
|| (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \
{ \
ret = un; \
} \
else \
{ \
int __is_zero_x; \
int __is_zero_y; \
do \
{ \
/* NANs are unordered */ \
if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \
|| (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \
{ \
ret = un; \
} \
else \
{ \
int __is_zero_x; \
int __is_zero_y; \
\
__is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \
__is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \
__is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc (X)) ? 1 : 0; \
__is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc (Y)) ? 1 : 0; \
\
if (__is_zero_x && __is_zero_y) \
ret = 0; \
else if (__is_zero_x) \
ret = Y##_s ? 1 : -1; \
else if (__is_zero_y) \
ret = X##_s ? -1 : 1; \
else if (X##_s != Y##_s) \
ret = X##_s ? -1 : 1; \
else if (X##_e > Y##_e) \
ret = X##_s ? -1 : 1; \
else if (X##_e < Y##_e) \
ret = X##_s ? 1 : -1; \
else if (_FP_FRAC_GT_##wc(X, Y)) \
ret = X##_s ? -1 : 1; \
else if (_FP_FRAC_GT_##wc(Y, X)) \
ret = X##_s ? 1 : -1; \
else \
ret = 0; \
} \
} while (0)
if (__is_zero_x && __is_zero_y) \
ret = 0; \
else if (__is_zero_x) \
ret = Y##_s ? 1 : -1; \
else if (__is_zero_y) \
ret = X##_s ? -1 : 1; \
else if (X##_s != Y##_s) \
ret = X##_s ? -1 : 1; \
else if (X##_e > Y##_e) \
ret = X##_s ? -1 : 1; \
else if (X##_e < Y##_e) \
ret = X##_s ? 1 : -1; \
else if (_FP_FRAC_GT_##wc (X, Y)) \
ret = X##_s ? -1 : 1; \
else if (_FP_FRAC_GT_##wc (Y, X)) \
ret = X##_s ? 1 : -1; \
else \
ret = 0; \
} \
} \
while (0)
/* Simplification for strict equality. */
#define _FP_CMP_EQ(fs, wc, ret, X, Y) \
do { \
/* NANs are unordered */ \
if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
|| (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \
{ \
ret = 1; \
} \
else \
{ \
ret = !(X##_e == Y##_e \
&& _FP_FRAC_EQ_##wc(X, Y) \
&& (X##_s == Y##_s || (!X##_e && _FP_FRAC_ZEROP_##wc(X)))); \
} \
} while (0)
#define _FP_CMP_EQ(fs, wc, ret, X, Y) \
do \
{ \
/* NANs are unordered */ \
if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \
|| (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \
{ \
ret = 1; \
} \
else \
{ \
ret = !(X##_e == Y##_e \
&& _FP_FRAC_EQ_##wc (X, Y) \
&& (X##_s == Y##_s || (!X##_e && _FP_FRAC_ZEROP_##wc (X)))); \
} \
} \
while (0)
/* Version to test unordered. */
#define _FP_CMP_UNORD(fs, wc, ret, X, Y) \
do { \
ret = ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
|| (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))); \
} while (0)
do \
{ \
ret = ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \
|| (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))); \
} \
while (0)
/*
* Main square root routine. The input value should be cooked.
*/
#define _FP_SQRT(fs, wc, R, X) \
do { \
_FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S); \
_FP_W_TYPE q; \
switch (X##_c) \
{ \
case FP_CLS_NAN: \
_FP_FRAC_COPY_##wc(R, X); \
R##_s = X##_s; \
R##_c = FP_CLS_NAN; \
break; \
case FP_CLS_INF: \
if (X##_s) \
{ \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; /* NAN */ \
_FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION(FP_EX_INVALID); \
} \
else \
{ \
R##_s = 0; \
R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \
} \
break; \
case FP_CLS_ZERO: \
R##_s = X##_s; \
R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \
break; \
case FP_CLS_NORMAL: \
R##_s = 0; \
if (X##_s) \
{ \
R##_c = FP_CLS_NAN; /* NAN */ \
R##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION(FP_EX_INVALID); \
break; \
} \
R##_c = FP_CLS_NORMAL; \
if (X##_e & 1) \
_FP_FRAC_SLL_##wc(X, 1); \
R##_e = X##_e >> 1; \
_FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \
_FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \
q = _FP_OVERFLOW_##fs >> 1; \
_FP_SQRT_MEAT_##wc(R, S, T, X, q); \
} \
} while (0)
#define _FP_SQRT(fs, wc, R, X) \
do \
{ \
_FP_FRAC_DECL_##wc (T); \
_FP_FRAC_DECL_##wc (S); \
_FP_W_TYPE q; \
switch (X##_c) \
{ \
case FP_CLS_NAN: \
_FP_FRAC_COPY_##wc (R, X); \
R##_s = X##_s; \
R##_c = FP_CLS_NAN; \
break; \
case FP_CLS_INF: \
if (X##_s) \
{ \
R##_s = _FP_NANSIGN_##fs; \
R##_c = FP_CLS_NAN; /* NAN */ \
_FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
else \
{ \
R##_s = 0; \
R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \
} \
break; \
case FP_CLS_ZERO: \
R##_s = X##_s; \
R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \
break; \
case FP_CLS_NORMAL: \
R##_s = 0; \
if (X##_s) \
{ \
R##_c = FP_CLS_NAN; /* NAN */ \
R##_s = _FP_NANSIGN_##fs; \
_FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
FP_SET_EXCEPTION (FP_EX_INVALID); \
break; \
} \
R##_c = FP_CLS_NORMAL; \
if (X##_e & 1) \
_FP_FRAC_SLL_##wc (X, 1); \
R##_e = X##_e >> 1; \
_FP_FRAC_SET_##wc (S, _FP_ZEROFRAC_##wc); \
_FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \
q = _FP_OVERFLOW_##fs >> 1; \
_FP_SQRT_MEAT_##wc (R, S, T, X, q); \
} \
} \
while (0)
/*
* Convert from FP to integer. Input is raw.
......@@ -1049,292 +1298,306 @@ do { \
* depending on the sign in such case.
*/
#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \
do { \
if (X##_e < _FP_EXPBIAS_##fs) \
do \
{ \
r = 0; \
if (X##_e == 0) \
if (X##_e < _FP_EXPBIAS_##fs) \
{ \
if (!_FP_FRAC_ZEROP_##wc(X)) \
r = 0; \
if (X##_e == 0) \
{ \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
FP_SET_EXCEPTION(FP_EX_DENORM); \
if (!_FP_FRAC_ZEROP_##wc (X)) \
{ \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
FP_SET_EXCEPTION (FP_EX_DENORM); \
} \
} \
else \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
} \
else \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
} \
else if (X##_e >= _FP_EXPBIAS_##fs + rsize - (rsigned > 0 || X##_s) \
|| (!rsigned && X##_s)) \
{ \
/* Overflow or converting to the most negative integer. */ \
if (rsigned) \
else if (X##_e >= _FP_EXPBIAS_##fs + rsize - (rsigned > 0 || X##_s) \
|| (!rsigned && X##_s)) \
{ \
r = 1; \
r <<= rsize - 1; \
r -= 1 - X##_s; \
} else { \
r = 0; \
if (X##_s) \
r = ~r; \
} \
/* Overflow or converting to the most negative integer. */ \
if (rsigned) \
{ \
r = 1; \
r <<= rsize - 1; \
r -= 1 - X##_s; \
} else { \
r = 0; \
if (!X##_s) \
r = ~r; \
} \
\
if (rsigned && X##_s && X##_e == _FP_EXPBIAS_##fs + rsize - 1) \
{ \
/* Possibly converting to most negative integer; check the \
mantissa. */ \
int inexact = 0; \
(void)((_FP_FRACBITS_##fs > rsize) \
? ({ _FP_FRAC_SRST_##wc(X, inexact, \
_FP_FRACBITS_##fs - rsize, \
_FP_FRACBITS_##fs); 0; }) \
: 0); \
if (!_FP_FRAC_ZEROP_##wc(X)) \
FP_SET_EXCEPTION(FP_EX_INVALID); \
else if (inexact) \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
if (rsigned && X##_s && X##_e == _FP_EXPBIAS_##fs + rsize - 1) \
{ \
/* Possibly converting to most negative integer; check the \
mantissa. */ \
int inexact = 0; \
(void) ((_FP_FRACBITS_##fs > rsize) \
? ({ \
_FP_FRAC_SRST_##wc (X, inexact, \
_FP_FRACBITS_##fs - rsize, \
_FP_FRACBITS_##fs); \
0; \
}) \
: 0); \
if (!_FP_FRAC_ZEROP_##wc (X)) \
FP_SET_EXCEPTION (FP_EX_INVALID); \
else if (inexact) \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
} \
else \
FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
else \
FP_SET_EXCEPTION(FP_EX_INVALID); \
{ \
_FP_FRAC_HIGH_RAW_##fs (X) |= _FP_IMPLBIT_##fs; \
if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \
{ \
_FP_FRAC_ASSEMBLE_##wc (r, X, rsize); \
r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \
} \
else \
{ \
int inexact; \
_FP_FRAC_SRST_##wc (X, inexact, \
(_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \
- X##_e), \
_FP_FRACBITS_##fs); \
if (inexact) \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
_FP_FRAC_ASSEMBLE_##wc (r, X, rsize); \
} \
if (rsigned && X##_s) \
r = -r; \
} \
} \
else \
while (0)
/* Convert integer to fp. Output is raw. RTYPE is unsigned even if
input is signed. */
#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
do \
{ \
_FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \
if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \
if (r) \
{ \
_FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \
rtype ur_; \
\
if ((X##_s = (r < 0))) \
r = -(rtype) r; \
\
ur_ = (rtype) r; \
(void) ((rsize <= _FP_W_TYPE_SIZE) \
? ({ \
int lz_; \
__FP_CLZ (lz_, (_FP_W_TYPE) ur_); \
X##_e = _FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 - lz_; \
}) \
: ((rsize <= 2 * _FP_W_TYPE_SIZE) \
? ({ \
int lz_; \
__FP_CLZ_2 (lz_, \
(_FP_W_TYPE) (ur_ >> _FP_W_TYPE_SIZE), \
(_FP_W_TYPE) ur_); \
X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \
- lz_); \
}) \
: (abort (), 0))); \
\
if (rsize - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \
&& X##_e >= _FP_EXPMAX_##fs) \
{ \
/* Exponent too big; overflow to infinity. (May also \
happen after rounding below.) */ \
_FP_OVERFLOW_SEMIRAW (fs, wc, X); \
goto pack_semiraw; \
} \
\
if (rsize <= _FP_FRACBITS_##fs \
|| X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \
{ \
/* Exactly representable; shift left. */ \
_FP_FRAC_DISASSEMBLE_##wc (X, ur_, rsize); \
if (_FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1 - X##_e > 0) \
_FP_FRAC_SLL_##wc (X, (_FP_EXPBIAS_##fs \
+ _FP_FRACBITS_##fs - 1 - X##_e)); \
} \
else \
{ \
/* More bits in integer than in floating type; need to \
round. */ \
if (_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 < X##_e) \
ur_ = ((ur_ >> (X##_e - _FP_EXPBIAS_##fs \
- _FP_WFRACBITS_##fs + 1)) \
| ((ur_ << (rsize - (X##_e - _FP_EXPBIAS_##fs \
- _FP_WFRACBITS_##fs + 1))) \
!= 0)); \
_FP_FRAC_DISASSEMBLE_##wc (X, ur_, rsize); \
if ((_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 - X##_e) > 0) \
_FP_FRAC_SLL_##wc (X, (_FP_EXPBIAS_##fs \
+ _FP_WFRACBITS_##fs - 1 - X##_e)); \
_FP_FRAC_HIGH_##fs (X) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
pack_semiraw: \
_FP_PACK_SEMIRAW (fs, wc, X); \
} \
} \
else \
{ \
int inexact; \
_FP_FRAC_SRST_##wc(X, inexact, \
(_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \
- X##_e), \
_FP_FRACBITS_##fs); \
if (inexact) \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
_FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
X##_s = 0; \
X##_e = 0; \
_FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
} \
if (rsigned && X##_s) \
r = -r; \
} \
} while (0)
/* Convert integer to fp. Output is raw. RTYPE is unsigned even if
input is signed. */
#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
do { \
if (r) \
{ \
rtype ur_; \
\
if ((X##_s = (r < 0))) \
r = -(rtype)r; \
\
ur_ = (rtype) r; \
(void)((rsize <= _FP_W_TYPE_SIZE) \
? ({ \
int lz_; \
__FP_CLZ(lz_, (_FP_W_TYPE)ur_); \
X##_e = _FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 - lz_; \
}) \
: ((rsize <= 2 * _FP_W_TYPE_SIZE) \
? ({ \
int lz_; \
__FP_CLZ_2(lz_, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \
(_FP_W_TYPE)ur_); \
X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \
- lz_); \
}) \
: (abort(), 0))); \
\
if (rsize - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \
&& X##_e >= _FP_EXPMAX_##fs) \
{ \
/* Exponent too big; overflow to infinity. (May also \
happen after rounding below.) */ \
_FP_OVERFLOW_SEMIRAW(fs, wc, X); \
goto pack_semiraw; \
} \
\
if (rsize <= _FP_FRACBITS_##fs \
|| X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \
{ \
/* Exactly representable; shift left. */ \
_FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
if (_FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1 - X##_e > 0) \
_FP_FRAC_SLL_##wc(X, (_FP_EXPBIAS_##fs \
+ _FP_FRACBITS_##fs - 1 - X##_e)); \
} \
else \
{ \
/* More bits in integer than in floating type; need to \
round. */ \
if (_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 < X##_e) \
ur_ = ((ur_ >> (X##_e - _FP_EXPBIAS_##fs \
- _FP_WFRACBITS_##fs + 1)) \
| ((ur_ << (rsize - (X##_e - _FP_EXPBIAS_##fs \
- _FP_WFRACBITS_##fs + 1))) \
!= 0)); \
_FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
if ((_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 - X##_e) > 0) \
_FP_FRAC_SLL_##wc(X, (_FP_EXPBIAS_##fs \
+ _FP_WFRACBITS_##fs - 1 - X##_e)); \
_FP_FRAC_HIGH_##fs(X) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
pack_semiraw: \
_FP_PACK_SEMIRAW(fs, wc, X); \
} \
} \
else \
{ \
X##_s = 0; \
X##_e = 0; \
_FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
} \
} while (0)
while (0)
/* Extend from a narrower floating-point format to a wider one. Input
and output are raw. */
#define FP_EXTEND(dfs,sfs,dwc,swc,D,S) \
do { \
if (_FP_FRACBITS_##dfs < _FP_FRACBITS_##sfs \
|| (_FP_EXPMAX_##dfs - _FP_EXPBIAS_##dfs \
< _FP_EXPMAX_##sfs - _FP_EXPBIAS_##sfs) \
|| (_FP_EXPBIAS_##dfs < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1 \
&& _FP_EXPBIAS_##dfs != _FP_EXPBIAS_##sfs)) \
abort(); \
D##_s = S##_s; \
_FP_FRAC_COPY_##dwc##_##swc(D, S); \
if (_FP_EXP_NORMAL(sfs, swc, S)) \
{ \
D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
_FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs - _FP_FRACBITS_##sfs)); \
} \
else \
{ \
if (S##_e == 0) \
{ \
if (_FP_FRAC_ZEROP_##swc(S)) \
D##_e = 0; \
else if (_FP_EXPBIAS_##dfs \
< _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \
- _FP_FRACBITS_##sfs)); \
D##_e = 0; \
} \
else \
{ \
int _lz; \
FP_SET_EXCEPTION(FP_EX_DENORM); \
_FP_FRAC_CLZ_##swc(_lz, S); \
_FP_FRAC_SLL_##dwc(D, \
_lz + _FP_FRACBITS_##dfs \
- _FP_FRACTBITS_##sfs); \
D##_e = (_FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs + 1 \
+ _FP_FRACXBITS_##sfs - _lz); \
} \
} \
else \
{ \
D##_e = _FP_EXPMAX_##dfs; \
if (!_FP_FRAC_ZEROP_##swc(S)) \
{ \
if (_FP_FRAC_SNANP(sfs, S)) \
FP_SET_EXCEPTION(FP_EX_INVALID); \
_FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \
- _FP_FRACBITS_##sfs)); \
} \
} \
} \
} while (0)
#define FP_EXTEND(dfs, sfs, dwc, swc, D, S) \
do \
{ \
if (_FP_FRACBITS_##dfs < _FP_FRACBITS_##sfs \
|| (_FP_EXPMAX_##dfs - _FP_EXPBIAS_##dfs \
< _FP_EXPMAX_##sfs - _FP_EXPBIAS_##sfs) \
|| (_FP_EXPBIAS_##dfs < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1 \
&& _FP_EXPBIAS_##dfs != _FP_EXPBIAS_##sfs)) \
abort (); \
D##_s = S##_s; \
_FP_FRAC_COPY_##dwc##_##swc (D, S); \
if (_FP_EXP_NORMAL (sfs, swc, S)) \
{ \
D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
_FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs - _FP_FRACBITS_##sfs)); \
} \
else \
{ \
if (S##_e == 0) \
{ \
if (_FP_FRAC_ZEROP_##swc (S)) \
D##_e = 0; \
else if (_FP_EXPBIAS_##dfs \
< _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs \
- _FP_FRACBITS_##sfs)); \
D##_e = 0; \
} \
else \
{ \
int _lz; \
FP_SET_EXCEPTION (FP_EX_DENORM); \
_FP_FRAC_CLZ_##swc (_lz, S); \
_FP_FRAC_SLL_##dwc (D, \
_lz + _FP_FRACBITS_##dfs \
- _FP_FRACTBITS_##sfs); \
D##_e = (_FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs + 1 \
+ _FP_FRACXBITS_##sfs - _lz); \
} \
} \
else \
{ \
D##_e = _FP_EXPMAX_##dfs; \
if (!_FP_FRAC_ZEROP_##swc (S)) \
{ \
if (_FP_FRAC_SNANP (sfs, S)) \
FP_SET_EXCEPTION (FP_EX_INVALID); \
_FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs \
- _FP_FRACBITS_##sfs)); \
_FP_SETQNAN (dfs, dwc, D); \
} \
} \
} \
} \
while (0)
/* Truncate from a wider floating-point format to a narrower one.
Input and output are semi-raw. */
#define FP_TRUNC(dfs,sfs,dwc,swc,D,S) \
do { \
if (_FP_FRACBITS_##sfs < _FP_FRACBITS_##dfs \
|| (_FP_EXPBIAS_##sfs < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1 \
&& _FP_EXPBIAS_##sfs != _FP_EXPBIAS_##dfs)) \
abort(); \
D##_s = S##_s; \
if (_FP_EXP_NORMAL(sfs, swc, S)) \
{ \
D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
if (D##_e >= _FP_EXPMAX_##dfs) \
_FP_OVERFLOW_SEMIRAW(dfs, dwc, D); \
else \
{ \
if (D##_e <= 0) \
{ \
if (D##_e < 1 - _FP_FRACBITS_##dfs) \
{ \
_FP_FRAC_SET_##swc(S, _FP_ZEROFRAC_##swc); \
_FP_FRAC_LOW_##swc(S) |= 1; \
} \
else \
{ \
_FP_FRAC_HIGH_##sfs(S) |= _FP_IMPLBIT_SH_##sfs; \
_FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs + 1 - D##_e), \
_FP_WFRACBITS_##sfs); \
} \
D##_e = 0; \
} \
else \
_FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs), \
_FP_WFRACBITS_##sfs); \
_FP_FRAC_COPY_##dwc##_##swc(D, S); \
} \
} \
else \
{ \
if (S##_e == 0) \
{ \
D##_e = 0; \
if (_FP_FRAC_ZEROP_##swc(S)) \
_FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
else \
{ \
FP_SET_EXCEPTION(FP_EX_DENORM); \
if (_FP_EXPBIAS_##sfs \
< _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \
{ \
_FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs), \
_FP_WFRACBITS_##sfs); \
_FP_FRAC_COPY_##dwc##_##swc(D, S); \
} \
else \
{ \
_FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
_FP_FRAC_LOW_##dwc(D) |= 1; \
} \
} \
} \
else \
{ \
D##_e = _FP_EXPMAX_##dfs; \
if (_FP_FRAC_ZEROP_##swc(S)) \
_FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
else \
{ \
_FP_CHECK_SIGNAN_SEMIRAW(sfs, swc, S); \
_FP_FRAC_SRL_##swc(S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs)); \
_FP_FRAC_COPY_##dwc##_##swc(D, S); \
/* Semi-raw NaN must have all workbits cleared. */ \
_FP_FRAC_LOW_##dwc(D) \
&= ~(_FP_W_TYPE) ((1 << _FP_WORKBITS) - 1); \
_FP_SETQNAN_SEMIRAW(dfs, dwc, D); \
} \
} \
} \
} while (0)
#define FP_TRUNC(dfs, sfs, dwc, swc, D, S) \
do \
{ \
if (_FP_FRACBITS_##sfs < _FP_FRACBITS_##dfs \
|| (_FP_EXPBIAS_##sfs < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1 \
&& _FP_EXPBIAS_##sfs != _FP_EXPBIAS_##dfs)) \
abort (); \
D##_s = S##_s; \
if (_FP_EXP_NORMAL (sfs, swc, S)) \
{ \
D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
if (D##_e >= _FP_EXPMAX_##dfs) \
_FP_OVERFLOW_SEMIRAW (dfs, dwc, D); \
else \
{ \
if (D##_e <= 0) \
{ \
if (D##_e < 1 - _FP_FRACBITS_##dfs) \
{ \
_FP_FRAC_SET_##swc (S, _FP_ZEROFRAC_##swc); \
_FP_FRAC_LOW_##swc (S) |= 1; \
} \
else \
{ \
_FP_FRAC_HIGH_##sfs (S) |= _FP_IMPLBIT_SH_##sfs; \
_FP_FRAC_SRS_##swc (S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs \
+ 1 - D##_e), \
_FP_WFRACBITS_##sfs); \
} \
D##_e = 0; \
} \
else \
_FP_FRAC_SRS_##swc (S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs), \
_FP_WFRACBITS_##sfs); \
_FP_FRAC_COPY_##dwc##_##swc (D, S); \
} \
} \
else \
{ \
if (S##_e == 0) \
{ \
D##_e = 0; \
if (_FP_FRAC_ZEROP_##swc (S)) \
_FP_FRAC_SET_##dwc (D, _FP_ZEROFRAC_##dwc); \
else \
{ \
FP_SET_EXCEPTION (FP_EX_DENORM); \
if (_FP_EXPBIAS_##sfs \
< _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \
{ \
_FP_FRAC_SRS_##swc (S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs), \
_FP_WFRACBITS_##sfs); \
_FP_FRAC_COPY_##dwc##_##swc (D, S); \
} \
else \
{ \
_FP_FRAC_SET_##dwc (D, _FP_ZEROFRAC_##dwc); \
_FP_FRAC_LOW_##dwc (D) |= 1; \
} \
} \
} \
else \
{ \
D##_e = _FP_EXPMAX_##dfs; \
if (_FP_FRAC_ZEROP_##swc (S)) \
_FP_FRAC_SET_##dwc (D, _FP_ZEROFRAC_##dwc); \
else \
{ \
_FP_CHECK_SIGNAN_SEMIRAW (sfs, swc, S); \
_FP_FRAC_SRL_##swc (S, (_FP_WFRACBITS_##sfs \
- _FP_WFRACBITS_##dfs)); \
_FP_FRAC_COPY_##dwc##_##swc (D, S); \
/* Semi-raw NaN must have all workbits cleared. */ \
_FP_FRAC_LOW_##dwc (D) \
&= ~(_FP_W_TYPE) ((1 << _FP_WORKBITS) - 1); \
_FP_SETQNAN_SEMIRAW (dfs, dwc, D); \
} \
} \
} \
} \
while (0)
/*
* Helper primitives.
......@@ -1344,64 +1607,72 @@ do { \
#ifndef __FP_CLZ
/* GCC 3.4 and later provide the builtins for us. */
#define __FP_CLZ(r, x) \
do { \
if (sizeof (_FP_W_TYPE) == sizeof (unsigned int)) \
r = __builtin_clz (x); \
else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long)) \
r = __builtin_clzl (x); \
else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long long)) \
r = __builtin_clzll (x); \
else \
abort (); \
} while (0)
# define __FP_CLZ(r, x) \
do \
{ \
if (sizeof (_FP_W_TYPE) == sizeof (unsigned int)) \
r = __builtin_clz (x); \
else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long)) \
r = __builtin_clzl (x); \
else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long long)) \
r = __builtin_clzll (x); \
else \
abort (); \
} \
while (0)
#endif /* ndef __FP_CLZ */
#define _FP_DIV_HELP_imm(q, r, n, d) \
do { \
q = n / d, r = n % d; \
} while (0)
do \
{ \
q = n / d, r = n % d; \
} \
while (0)
/* A restoring bit-by-bit division primitive. */
#define _FP_DIV_MEAT_N_loop(fs, wc, R, X, Y) \
do { \
int count = _FP_WFRACBITS_##fs; \
_FP_FRAC_DECL_##wc (u); \
_FP_FRAC_DECL_##wc (v); \
_FP_FRAC_COPY_##wc (u, X); \
_FP_FRAC_COPY_##wc (v, Y); \
_FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \
/* Normalize U and V. */ \
_FP_FRAC_SLL_##wc (u, _FP_WFRACXBITS_##fs); \
_FP_FRAC_SLL_##wc (v, _FP_WFRACXBITS_##fs); \
/* First round. Since the operands are normalized, either the \
first or second bit will be set in the fraction. Produce a \
normalized result by checking which and adjusting the loop \
count and exponent accordingly. */ \
if (_FP_FRAC_GE_1 (u, v)) \
{ \
_FP_FRAC_SUB_##wc (u, u, v); \
_FP_FRAC_LOW_##wc (R) |= 1; \
count--; \
} \
else \
R##_e--; \
/* Subsequent rounds. */ \
do { \
int msb = (_FP_WS_TYPE) _FP_FRAC_HIGH_##wc (u) < 0; \
_FP_FRAC_SLL_##wc (u, 1); \
_FP_FRAC_SLL_##wc (R, 1); \
if (msb || _FP_FRAC_GE_1 (u, v)) \
do \
{ \
int count = _FP_WFRACBITS_##fs; \
_FP_FRAC_DECL_##wc (u); \
_FP_FRAC_DECL_##wc (v); \
_FP_FRAC_COPY_##wc (u, X); \
_FP_FRAC_COPY_##wc (v, Y); \
_FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \
/* Normalize U and V. */ \
_FP_FRAC_SLL_##wc (u, _FP_WFRACXBITS_##fs); \
_FP_FRAC_SLL_##wc (v, _FP_WFRACXBITS_##fs); \
/* First round. Since the operands are normalized, either the \
first or second bit will be set in the fraction. Produce a \
normalized result by checking which and adjusting the loop \
count and exponent accordingly. */ \
if (_FP_FRAC_GE_1 (u, v)) \
{ \
_FP_FRAC_SUB_##wc (u, u, v); \
_FP_FRAC_LOW_##wc (R) |= 1; \
count--; \
} \
} while (--count > 0); \
/* If there's anything left in U, the result is inexact. */ \
_FP_FRAC_LOW_##wc (R) |= !_FP_FRAC_ZEROP_##wc (u); \
} while (0)
else \
R##_e--; \
/* Subsequent rounds. */ \
do \
{ \
int msb = (_FP_WS_TYPE) _FP_FRAC_HIGH_##wc (u) < 0; \
_FP_FRAC_SLL_##wc (u, 1); \
_FP_FRAC_SLL_##wc (R, 1); \
if (msb || _FP_FRAC_GE_1 (u, v)) \
{ \
_FP_FRAC_SUB_##wc (u, u, v); \
_FP_FRAC_LOW_##wc (R) |= 1; \
} \
} \
while (--count > 0); \
/* If there's anything left in U, the result is inexact. */ \
_FP_FRAC_LOW_##wc (R) |= !_FP_FRAC_ZEROP_##wc (u); \
} \
while (0)
#define _FP_DIV_MEAT_1_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 1, R, X, Y)
#define _FP_DIV_MEAT_2_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 2, R, X, Y)
......
......@@ -31,13 +31,15 @@
<http://www.gnu.org/licenses/>. */
#if _FP_W_TYPE_SIZE < 32
#error "Here's a nickel, kid. Go buy yourself a real computer."
# error "Here's a nickel, kid. Go buy yourself a real computer."
#endif
#if _FP_W_TYPE_SIZE < 64
#define _FP_FRACTBITS_Q (4*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_Q (4*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_DW_Q (8*_FP_W_TYPE_SIZE)
#else
#define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE)
# define _FP_FRACTBITS_DW_Q (4*_FP_W_TYPE_SIZE)
#endif
#define _FP_FRACBITS_Q 113
......@@ -49,222 +51,271 @@
#define _FP_EXPMAX_Q 32767
#define _FP_QNANBIT_Q \
((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE)
#define _FP_QNANBIT_SH_Q \
((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
#define _FP_IMPLBIT_Q \
((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE)
#define _FP_IMPLBIT_SH_Q \
((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
#define _FP_OVERFLOW_Q \
((_FP_W_TYPE)1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE))
((_FP_W_TYPE) 1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE))
typedef float TFtype __attribute__((mode(TF)));
#define _FP_WFRACBITS_DW_Q (2 * _FP_WFRACBITS_Q)
#define _FP_WFRACXBITS_DW_Q (_FP_FRACTBITS_DW_Q - _FP_WFRACBITS_DW_Q)
#define _FP_HIGHBIT_DW_Q \
((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_Q - 1) % _FP_W_TYPE_SIZE)
typedef float TFtype __attribute__ ((mode (TF)));
#if _FP_W_TYPE_SIZE < 64
union _FP_UNION_Q
{
TFtype flt;
struct _FP_STRUCT_LAYOUT
{
#if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_Q;
unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
unsigned long frac2 : _FP_W_TYPE_SIZE;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned long frac0 : _FP_W_TYPE_SIZE;
#else
unsigned long frac0 : _FP_W_TYPE_SIZE;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned long frac2 : _FP_W_TYPE_SIZE;
unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
unsigned exp : _FP_EXPBITS_Q;
unsigned sign : 1;
#endif /* not bigendian */
} bits __attribute__((packed));
TFtype flt;
struct _FP_STRUCT_LAYOUT
{
# if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_Q;
unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
unsigned long frac2 : _FP_W_TYPE_SIZE;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned long frac0 : _FP_W_TYPE_SIZE;
# else
unsigned long frac0 : _FP_W_TYPE_SIZE;
unsigned long frac1 : _FP_W_TYPE_SIZE;
unsigned long frac2 : _FP_W_TYPE_SIZE;
unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
unsigned exp : _FP_EXPBITS_Q;
unsigned sign : 1;
# endif /* not bigendian */
} bits __attribute__ ((packed));
};
#define FP_DECL_Q(X) _FP_DECL(4,X)
#define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_4(Q,X,val)
#define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_4_P(Q,X,val)
#define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_4(Q,val,X)
#define FP_PACK_RAW_QP(val,X) \
do { \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_4_P(Q,val,X); \
} while (0)
#define FP_UNPACK_Q(X,val) \
do { \
_FP_UNPACK_RAW_4(Q,X,val); \
_FP_UNPACK_CANONICAL(Q,4,X); \
} while (0)
#define FP_UNPACK_QP(X,val) \
do { \
_FP_UNPACK_RAW_4_P(Q,X,val); \
_FP_UNPACK_CANONICAL(Q,4,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_Q(X,val) \
do { \
_FP_UNPACK_RAW_4(Q,X,val); \
_FP_UNPACK_SEMIRAW(Q,4,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_QP(X,val) \
do { \
_FP_UNPACK_RAW_4_P(Q,X,val); \
_FP_UNPACK_SEMIRAW(Q,4,X); \
} while (0)
#define FP_PACK_Q(val,X) \
do { \
_FP_PACK_CANONICAL(Q,4,X); \
_FP_PACK_RAW_4(Q,val,X); \
} while (0)
#define FP_PACK_QP(val,X) \
do { \
_FP_PACK_CANONICAL(Q,4,X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_4_P(Q,val,X); \
} while (0)
#define FP_PACK_SEMIRAW_Q(val,X) \
do { \
_FP_PACK_SEMIRAW(Q,4,X); \
_FP_PACK_RAW_4(Q,val,X); \
} while (0)
#define FP_PACK_SEMIRAW_QP(val,X) \
do { \
_FP_PACK_SEMIRAW(Q,4,X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_4_P(Q,val,X); \
} while (0)
#define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,4,X)
#define FP_NEG_Q(R,X) _FP_NEG(Q,4,R,X)
#define FP_ADD_Q(R,X,Y) _FP_ADD(Q,4,R,X,Y)
#define FP_SUB_Q(R,X,Y) _FP_SUB(Q,4,R,X,Y)
#define FP_MUL_Q(R,X,Y) _FP_MUL(Q,4,R,X,Y)
#define FP_DIV_Q(R,X,Y) _FP_DIV(Q,4,R,X,Y)
#define FP_SQRT_Q(R,X) _FP_SQRT(Q,4,R,X)
#define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_4(R,S,T,X,Q)
#define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,4,r,X,Y,un)
#define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,4,r,X,Y)
#define FP_CMP_UNORD_Q(r,X,Y) _FP_CMP_UNORD(Q,4,r,X,Y)
#define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,4,r,X,rsz,rsg)
#define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,4,X,r,rs,rt)
#define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4(X)
#define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4(X)
# define FP_DECL_Q(X) _FP_DECL (4, X)
# define FP_UNPACK_RAW_Q(X, val) _FP_UNPACK_RAW_4 (Q, X, val)
# define FP_UNPACK_RAW_QP(X, val) _FP_UNPACK_RAW_4_P (Q, X, val)
# define FP_PACK_RAW_Q(val, X) _FP_PACK_RAW_4 (Q, val, X)
# define FP_PACK_RAW_QP(val, X) \
do \
{ \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_4_P (Q, val, X); \
} \
while (0)
# define FP_UNPACK_Q(X, val) \
do \
{ \
_FP_UNPACK_RAW_4 (Q, X, val); \
_FP_UNPACK_CANONICAL (Q, 4, X); \
} \
while (0)
# define FP_UNPACK_QP(X, val) \
do \
{ \
_FP_UNPACK_RAW_4_P (Q, X, val); \
_FP_UNPACK_CANONICAL (Q, 4, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_Q(X, val) \
do \
{ \
_FP_UNPACK_RAW_4 (Q, X, val); \
_FP_UNPACK_SEMIRAW (Q, 4, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_QP(X, val) \
do \
{ \
_FP_UNPACK_RAW_4_P (Q, X, val); \
_FP_UNPACK_SEMIRAW (Q, 4, X); \
} \
while (0)
# define FP_PACK_Q(val, X) \
do \
{ \
_FP_PACK_CANONICAL (Q, 4, X); \
_FP_PACK_RAW_4 (Q, val, X); \
} \
while (0)
# define FP_PACK_QP(val, X) \
do \
{ \
_FP_PACK_CANONICAL (Q, 4, X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_4_P (Q, val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_Q(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (Q, 4, X); \
_FP_PACK_RAW_4 (Q, val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_QP(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (Q, 4, X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_4_P (Q, val, X); \
} \
while (0)
# define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN (Q, 4, X)
# define FP_NEG_Q(R, X) _FP_NEG (Q, 4, R, X)
# define FP_ADD_Q(R, X, Y) _FP_ADD (Q, 4, R, X, Y)
# define FP_SUB_Q(R, X, Y) _FP_SUB (Q, 4, R, X, Y)
# define FP_MUL_Q(R, X, Y) _FP_MUL (Q, 4, R, X, Y)
# define FP_DIV_Q(R, X, Y) _FP_DIV (Q, 4, R, X, Y)
# define FP_SQRT_Q(R, X) _FP_SQRT (Q, 4, R, X)
# define _FP_SQRT_MEAT_Q(R, S, T, X, Q) _FP_SQRT_MEAT_4 (R, S, T, X, Q)
# define FP_FMA_Q(R, X, Y, Z) _FP_FMA (Q, 4, 8, R, X, Y, Z)
# define FP_CMP_Q(r, X, Y, un) _FP_CMP (Q, 4, r, X, Y, un)
# define FP_CMP_EQ_Q(r, X, Y) _FP_CMP_EQ (Q, 4, r, X, Y)
# define FP_CMP_UNORD_Q(r, X, Y) _FP_CMP_UNORD (Q, 4, r, X, Y)
# define FP_TO_INT_Q(r, X, rsz, rsg) _FP_TO_INT (Q, 4, r, X, rsz, rsg)
# define FP_FROM_INT_Q(X, r, rs, rt) _FP_FROM_INT (Q, 4, X, r, rs, rt)
# define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4 (X)
# define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4 (X)
# define _FP_FRAC_HIGH_DW_Q(X) _FP_FRAC_HIGH_8 (X)
#else /* not _FP_W_TYPE_SIZE < 64 */
union _FP_UNION_Q
{
TFtype flt /* __attribute__((mode(TF))) */ ;
struct _FP_STRUCT_LAYOUT {
TFtype flt /* __attribute__ ((mode (TF))) */ ;
struct _FP_STRUCT_LAYOUT
{
_FP_W_TYPE a, b;
} longs;
struct _FP_STRUCT_LAYOUT {
#if __BYTE_ORDER == __BIG_ENDIAN
struct _FP_STRUCT_LAYOUT
{
# if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_Q;
_FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE;
_FP_W_TYPE frac0 : _FP_W_TYPE_SIZE;
#else
# else
_FP_W_TYPE frac0 : _FP_W_TYPE_SIZE;
_FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE;
unsigned exp : _FP_EXPBITS_Q;
unsigned sign : 1;
#endif
# endif
} bits;
};
#define FP_DECL_Q(X) _FP_DECL(2,X)
#define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_2(Q,X,val)
#define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_2_P(Q,X,val)
#define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_2(Q,val,X)
#define FP_PACK_RAW_QP(val,X) \
do { \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_2_P(Q,val,X); \
} while (0)
#define FP_UNPACK_Q(X,val) \
do { \
_FP_UNPACK_RAW_2(Q,X,val); \
_FP_UNPACK_CANONICAL(Q,2,X); \
} while (0)
#define FP_UNPACK_QP(X,val) \
do { \
_FP_UNPACK_RAW_2_P(Q,X,val); \
_FP_UNPACK_CANONICAL(Q,2,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_Q(X,val) \
do { \
_FP_UNPACK_RAW_2(Q,X,val); \
_FP_UNPACK_SEMIRAW(Q,2,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_QP(X,val) \
do { \
_FP_UNPACK_RAW_2_P(Q,X,val); \
_FP_UNPACK_SEMIRAW(Q,2,X); \
} while (0)
#define FP_PACK_Q(val,X) \
do { \
_FP_PACK_CANONICAL(Q,2,X); \
_FP_PACK_RAW_2(Q,val,X); \
} while (0)
#define FP_PACK_QP(val,X) \
do { \
_FP_PACK_CANONICAL(Q,2,X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_2_P(Q,val,X); \
} while (0)
#define FP_PACK_SEMIRAW_Q(val,X) \
do { \
_FP_PACK_SEMIRAW(Q,2,X); \
_FP_PACK_RAW_2(Q,val,X); \
} while (0)
#define FP_PACK_SEMIRAW_QP(val,X) \
do { \
_FP_PACK_SEMIRAW(Q,2,X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_2_P(Q,val,X); \
} while (0)
#define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,2,X)
#define FP_NEG_Q(R,X) _FP_NEG(Q,2,R,X)
#define FP_ADD_Q(R,X,Y) _FP_ADD(Q,2,R,X,Y)
#define FP_SUB_Q(R,X,Y) _FP_SUB(Q,2,R,X,Y)
#define FP_MUL_Q(R,X,Y) _FP_MUL(Q,2,R,X,Y)
#define FP_DIV_Q(R,X,Y) _FP_DIV(Q,2,R,X,Y)
#define FP_SQRT_Q(R,X) _FP_SQRT(Q,2,R,X)
#define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q)
#define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,2,r,X,Y,un)
#define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,2,r,X,Y)
#define FP_CMP_UNORD_Q(r,X,Y) _FP_CMP_UNORD(Q,2,r,X,Y)
#define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,2,r,X,rsz,rsg)
#define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,2,X,r,rs,rt)
#define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2(X)
#define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2(X)
# define FP_DECL_Q(X) _FP_DECL (2, X)
# define FP_UNPACK_RAW_Q(X, val) _FP_UNPACK_RAW_2 (Q, X, val)
# define FP_UNPACK_RAW_QP(X, val) _FP_UNPACK_RAW_2_P (Q, X, val)
# define FP_PACK_RAW_Q(val, X) _FP_PACK_RAW_2 (Q, val, X)
# define FP_PACK_RAW_QP(val, X) \
do \
{ \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_2_P (Q, val, X); \
} \
while (0)
# define FP_UNPACK_Q(X, val) \
do \
{ \
_FP_UNPACK_RAW_2 (Q, X, val); \
_FP_UNPACK_CANONICAL (Q, 2, X); \
} \
while (0)
# define FP_UNPACK_QP(X, val) \
do \
{ \
_FP_UNPACK_RAW_2_P (Q, X, val); \
_FP_UNPACK_CANONICAL (Q, 2, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_Q(X, val) \
do \
{ \
_FP_UNPACK_RAW_2 (Q, X, val); \
_FP_UNPACK_SEMIRAW (Q, 2, X); \
} \
while (0)
# define FP_UNPACK_SEMIRAW_QP(X, val) \
do \
{ \
_FP_UNPACK_RAW_2_P (Q, X, val); \
_FP_UNPACK_SEMIRAW (Q, 2, X); \
} \
while (0)
# define FP_PACK_Q(val, X) \
do \
{ \
_FP_PACK_CANONICAL (Q, 2, X); \
_FP_PACK_RAW_2 (Q, val, X); \
} \
while (0)
# define FP_PACK_QP(val, X) \
do \
{ \
_FP_PACK_CANONICAL (Q, 2, X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_2_P (Q, val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_Q(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (Q, 2, X); \
_FP_PACK_RAW_2 (Q, val, X); \
} \
while (0)
# define FP_PACK_SEMIRAW_QP(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (Q, 2, X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_2_P (Q, val, X); \
} \
while (0)
# define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN (Q, 2, X)
# define FP_NEG_Q(R, X) _FP_NEG (Q, 2, R, X)
# define FP_ADD_Q(R, X, Y) _FP_ADD (Q, 2, R, X, Y)
# define FP_SUB_Q(R, X, Y) _FP_SUB (Q, 2, R, X, Y)
# define FP_MUL_Q(R, X, Y) _FP_MUL (Q, 2, R, X, Y)
# define FP_DIV_Q(R, X, Y) _FP_DIV (Q, 2, R, X, Y)
# define FP_SQRT_Q(R, X) _FP_SQRT (Q, 2, R, X)
# define _FP_SQRT_MEAT_Q(R, S, T, X, Q) _FP_SQRT_MEAT_2 (R, S, T, X, Q)
# define FP_FMA_Q(R, X, Y, Z) _FP_FMA (Q, 2, 4, R, X, Y, Z)
# define FP_CMP_Q(r, X, Y, un) _FP_CMP (Q, 2, r, X, Y, un)
# define FP_CMP_EQ_Q(r, X, Y) _FP_CMP_EQ (Q, 2, r, X, Y)
# define FP_CMP_UNORD_Q(r, X, Y) _FP_CMP_UNORD (Q, 2, r, X, Y)
# define FP_TO_INT_Q(r, X, rsz, rsg) _FP_TO_INT (Q, 2, r, X, rsz, rsg)
# define FP_FROM_INT_Q(X, r, rs, rt) _FP_FROM_INT (Q, 2, X, r, rs, rt)
# define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2 (X)
# define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2 (X)
# define _FP_FRAC_HIGH_DW_Q(X) _FP_FRAC_HIGH_4 (X)
#endif /* not _FP_W_TYPE_SIZE < 64 */
......@@ -31,11 +31,17 @@
<http://www.gnu.org/licenses/>. */
#if _FP_W_TYPE_SIZE < 32
#error "Here's a nickel kid. Go buy yourself a real computer."
# error "Here's a nickel kid. Go buy yourself a real computer."
#endif
#define _FP_FRACTBITS_S _FP_W_TYPE_SIZE
#if _FP_W_TYPE_SIZE < 64
# define _FP_FRACTBITS_DW_S (2 * _FP_W_TYPE_SIZE)
#else
# define _FP_FRACTBITS_DW_S _FP_W_TYPE_SIZE
#endif
#define _FP_FRACBITS_S 24
#define _FP_FRACXBITS_S (_FP_FRACTBITS_S - _FP_FRACBITS_S)
#define _FP_WFRACBITS_S (_FP_WORKBITS + _FP_FRACBITS_S)
......@@ -43,21 +49,27 @@
#define _FP_EXPBITS_S 8
#define _FP_EXPBIAS_S 127
#define _FP_EXPMAX_S 255
#define _FP_QNANBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-2))
#define _FP_QNANBIT_SH_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-2+_FP_WORKBITS))
#define _FP_IMPLBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-1))
#define _FP_IMPLBIT_SH_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-1+_FP_WORKBITS))
#define _FP_OVERFLOW_S ((_FP_W_TYPE)1 << (_FP_WFRACBITS_S))
#define _FP_QNANBIT_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-2))
#define _FP_QNANBIT_SH_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-2+_FP_WORKBITS))
#define _FP_IMPLBIT_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-1))
#define _FP_IMPLBIT_SH_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-1+_FP_WORKBITS))
#define _FP_OVERFLOW_S ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_S))
#define _FP_WFRACBITS_DW_S (2 * _FP_WFRACBITS_S)
#define _FP_WFRACXBITS_DW_S (_FP_FRACTBITS_DW_S - _FP_WFRACBITS_DW_S)
#define _FP_HIGHBIT_DW_S \
((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_S - 1) % _FP_W_TYPE_SIZE)
/* The implementation of _FP_MUL_MEAT_S and _FP_DIV_MEAT_S should be
chosen by the target machine. */
typedef float SFtype __attribute__((mode(SF)));
typedef float SFtype __attribute__ ((mode (SF)));
union _FP_UNION_S
{
SFtype flt;
struct _FP_STRUCT_LAYOUT {
struct _FP_STRUCT_LAYOUT
{
#if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_S;
......@@ -67,84 +79,114 @@ union _FP_UNION_S
unsigned exp : _FP_EXPBITS_S;
unsigned sign : 1;
#endif
} bits __attribute__((packed));
} bits __attribute__ ((packed));
};
#define FP_DECL_S(X) _FP_DECL(1,X)
#define FP_UNPACK_RAW_S(X,val) _FP_UNPACK_RAW_1(S,X,val)
#define FP_UNPACK_RAW_SP(X,val) _FP_UNPACK_RAW_1_P(S,X,val)
#define FP_PACK_RAW_S(val,X) _FP_PACK_RAW_1(S,val,X)
#define FP_PACK_RAW_SP(val,X) \
do { \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_1_P(S,val,X); \
} while (0)
#define FP_UNPACK_S(X,val) \
do { \
_FP_UNPACK_RAW_1(S,X,val); \
_FP_UNPACK_CANONICAL(S,1,X); \
} while (0)
#define FP_UNPACK_SP(X,val) \
do { \
_FP_UNPACK_RAW_1_P(S,X,val); \
_FP_UNPACK_CANONICAL(S,1,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_S(X,val) \
do { \
_FP_UNPACK_RAW_1(S,X,val); \
_FP_UNPACK_SEMIRAW(S,1,X); \
} while (0)
#define FP_UNPACK_SEMIRAW_SP(X,val) \
do { \
_FP_UNPACK_RAW_1_P(S,X,val); \
_FP_UNPACK_SEMIRAW(S,1,X); \
} while (0)
#define FP_PACK_S(val,X) \
do { \
_FP_PACK_CANONICAL(S,1,X); \
_FP_PACK_RAW_1(S,val,X); \
} while (0)
#define FP_PACK_SP(val,X) \
do { \
_FP_PACK_CANONICAL(S,1,X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_1_P(S,val,X); \
} while (0)
#define FP_PACK_SEMIRAW_S(val,X) \
do { \
_FP_PACK_SEMIRAW(S,1,X); \
_FP_PACK_RAW_1(S,val,X); \
} while (0)
#define FP_PACK_SEMIRAW_SP(val,X) \
do { \
_FP_PACK_SEMIRAW(S,1,X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_1_P(S,val,X); \
} while (0)
#define FP_ISSIGNAN_S(X) _FP_ISSIGNAN(S,1,X)
#define FP_NEG_S(R,X) _FP_NEG(S,1,R,X)
#define FP_ADD_S(R,X,Y) _FP_ADD(S,1,R,X,Y)
#define FP_SUB_S(R,X,Y) _FP_SUB(S,1,R,X,Y)
#define FP_MUL_S(R,X,Y) _FP_MUL(S,1,R,X,Y)
#define FP_DIV_S(R,X,Y) _FP_DIV(S,1,R,X,Y)
#define FP_SQRT_S(R,X) _FP_SQRT(S,1,R,X)
#define _FP_SQRT_MEAT_S(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q)
#define FP_CMP_S(r,X,Y,un) _FP_CMP(S,1,r,X,Y,un)
#define FP_CMP_EQ_S(r,X,Y) _FP_CMP_EQ(S,1,r,X,Y)
#define FP_CMP_UNORD_S(r,X,Y) _FP_CMP_UNORD(S,1,r,X,Y)
#define FP_TO_INT_S(r,X,rsz,rsg) _FP_TO_INT(S,1,r,X,rsz,rsg)
#define FP_FROM_INT_S(X,r,rs,rt) _FP_FROM_INT(S,1,X,r,rs,rt)
#define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1(X)
#define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1(X)
#define FP_DECL_S(X) _FP_DECL (1, X)
#define FP_UNPACK_RAW_S(X, val) _FP_UNPACK_RAW_1 (S, X, val)
#define FP_UNPACK_RAW_SP(X, val) _FP_UNPACK_RAW_1_P (S, X, val)
#define FP_PACK_RAW_S(val, X) _FP_PACK_RAW_1 (S, val, X)
#define FP_PACK_RAW_SP(val, X) \
do \
{ \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_1_P (S, val, X); \
} \
while (0)
#define FP_UNPACK_S(X, val) \
do \
{ \
_FP_UNPACK_RAW_1 (S, X, val); \
_FP_UNPACK_CANONICAL (S, 1, X); \
} \
while (0)
#define FP_UNPACK_SP(X, val) \
do \
{ \
_FP_UNPACK_RAW_1_P (S, X, val); \
_FP_UNPACK_CANONICAL (S, 1, X); \
} \
while (0)
#define FP_UNPACK_SEMIRAW_S(X, val) \
do \
{ \
_FP_UNPACK_RAW_1 (S, X, val); \
_FP_UNPACK_SEMIRAW (S, 1, X); \
} \
while (0)
#define FP_UNPACK_SEMIRAW_SP(X, val) \
do \
{ \
_FP_UNPACK_RAW_1_P (S, X, val); \
_FP_UNPACK_SEMIRAW (S, 1, X); \
} \
while (0)
#define FP_PACK_S(val, X) \
do \
{ \
_FP_PACK_CANONICAL (S, 1, X); \
_FP_PACK_RAW_1 (S, val, X); \
} \
while (0)
#define FP_PACK_SP(val, X) \
do \
{ \
_FP_PACK_CANONICAL (S, 1, X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_1_P (S, val, X); \
} \
while (0)
#define FP_PACK_SEMIRAW_S(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (S, 1, X); \
_FP_PACK_RAW_1 (S, val, X); \
} \
while (0)
#define FP_PACK_SEMIRAW_SP(val, X) \
do \
{ \
_FP_PACK_SEMIRAW (S, 1, X); \
if (!FP_INHIBIT_RESULTS) \
_FP_PACK_RAW_1_P (S, val, X); \
} \
while (0)
#define FP_ISSIGNAN_S(X) _FP_ISSIGNAN (S, 1, X)
#define FP_NEG_S(R, X) _FP_NEG (S, 1, R, X)
#define FP_ADD_S(R, X, Y) _FP_ADD (S, 1, R, X, Y)
#define FP_SUB_S(R, X, Y) _FP_SUB (S, 1, R, X, Y)
#define FP_MUL_S(R, X, Y) _FP_MUL (S, 1, R, X, Y)
#define FP_DIV_S(R, X, Y) _FP_DIV (S, 1, R, X, Y)
#define FP_SQRT_S(R, X) _FP_SQRT (S, 1, R, X)
#define _FP_SQRT_MEAT_S(R, S, T, X, Q) _FP_SQRT_MEAT_1 (R, S, T, X, Q)
#if _FP_W_TYPE_SIZE < 64
# define FP_FMA_S(R, X, Y, Z) _FP_FMA (S, 1, 2, R, X, Y, Z)
#else
# define FP_FMA_S(R, X, Y, Z) _FP_FMA (S, 1, 1, R, X, Y, Z)
#endif
#define FP_CMP_S(r, X, Y, un) _FP_CMP (S, 1, r, X, Y, un)
#define FP_CMP_EQ_S(r, X, Y) _FP_CMP_EQ (S, 1, r, X, Y)
#define FP_CMP_UNORD_S(r, X, Y) _FP_CMP_UNORD (S, 1, r, X, Y)
#define FP_TO_INT_S(r, X, rsz, rsg) _FP_TO_INT (S, 1, r, X, rsz, rsg)
#define FP_FROM_INT_S(X, r, rs, rt) _FP_FROM_INT (S, 1, X, r, rs, rt)
#define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1 (X)
#define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1 (X)
#if _FP_W_TYPE_SIZE < 64
# define _FP_FRAC_HIGH_DW_S(X) _FP_FRAC_HIGH_2 (X)
#else
# define _FP_FRAC_HIGH_DW_S(X) _FP_FRAC_HIGH_1 (X)
#endif
......@@ -33,25 +33,25 @@
#define SOFT_FP_H
#ifdef _LIBC
#include <sfp-machine.h>
# include <sfp-machine.h>
#else
#include "sfp-machine.h"
# include "sfp-machine.h"
#endif
/* Allow sfp-machine to have its own byte order definitions. */
#ifndef __BYTE_ORDER
#ifdef _LIBC
#include <endian.h>
#else
#error "endianness not defined by sfp-machine.h"
#endif
# ifdef _LIBC
# include <endian.h>
# else
# error "endianness not defined by sfp-machine.h"
# endif
#endif
#define _FP_WORKBITS 3
#define _FP_WORK_LSB ((_FP_W_TYPE)1 << 3)
#define _FP_WORK_ROUND ((_FP_W_TYPE)1 << 2)
#define _FP_WORK_GUARD ((_FP_W_TYPE)1 << 1)
#define _FP_WORK_STICKY ((_FP_W_TYPE)1 << 0)
#define _FP_WORK_LSB ((_FP_W_TYPE) 1 << 3)
#define _FP_WORK_ROUND ((_FP_W_TYPE) 1 << 2)
#define _FP_WORK_GUARD ((_FP_W_TYPE) 1 << 1)
#define _FP_WORK_STICKY ((_FP_W_TYPE) 1 << 0)
#ifndef FP_RND_NEAREST
# define FP_RND_NEAREST 0
......@@ -65,22 +65,22 @@
/* By default don't care about exceptions. */
#ifndef FP_EX_INVALID
#define FP_EX_INVALID 0
# define FP_EX_INVALID 0
#endif
#ifndef FP_EX_OVERFLOW
#define FP_EX_OVERFLOW 0
# define FP_EX_OVERFLOW 0
#endif
#ifndef FP_EX_UNDERFLOW
#define FP_EX_UNDERFLOW 0
# define FP_EX_UNDERFLOW 0
#endif
#ifndef FP_EX_DIVZERO
#define FP_EX_DIVZERO 0
# define FP_EX_DIVZERO 0
#endif
#ifndef FP_EX_INEXACT
#define FP_EX_INEXACT 0
# define FP_EX_INEXACT 0
#endif
#ifndef FP_EX_DENORM
#define FP_EX_DENORM 0
# define FP_EX_DENORM 0
#endif
/* _FP_STRUCT_LAYOUT may be defined as an attribute to determine the
......@@ -90,23 +90,31 @@
differences in how consecutive bit-fields are laid out from the
default expected by soft-fp. */
#ifndef _FP_STRUCT_LAYOUT
#define _FP_STRUCT_LAYOUT
# define _FP_STRUCT_LAYOUT
#endif
#ifdef _FP_DECL_EX
#define FP_DECL_EX \
# define FP_DECL_EX \
int _fex = 0; \
_FP_DECL_EX
#else
#define FP_DECL_EX int _fex = 0
# define FP_DECL_EX int _fex = 0
#endif
/* Initialize any machine-specific state used in FP_ROUNDMODE,
FP_TRAPPING_EXCEPTIONS or FP_HANDLE_EXCEPTIONS. */
#ifndef FP_INIT_ROUNDMODE
#define FP_INIT_ROUNDMODE do {} while (0)
# define FP_INIT_ROUNDMODE do {} while (0)
#endif
/* Initialize any machine-specific state used in
FP_HANDLE_EXCEPTIONS. */
#ifndef FP_INIT_EXCEPTIONS
# define FP_INIT_EXCEPTIONS FP_INIT_ROUNDMODE
#endif
#ifndef FP_HANDLE_EXCEPTIONS
#define FP_HANDLE_EXCEPTIONS do {} while (0)
# define FP_HANDLE_EXCEPTIONS do {} while (0)
#endif
#ifndef FP_INHIBIT_RESULTS
......@@ -115,15 +123,12 @@
* check if some exceptions are unmasked
* and inhibit it in such a case.
*/
#define FP_INHIBIT_RESULTS 0
# define FP_INHIBIT_RESULTS 0
#endif
#define FP_SET_EXCEPTION(ex) \
_fex |= (ex)
#define FP_UNSET_EXCEPTION(ex) \
_fex &= ~(ex)
#define FP_CLEAR_EXCEPTIONS \
_fex = 0
......@@ -131,58 +136,90 @@
(_fex)
#ifndef FP_TRAPPING_EXCEPTIONS
#define FP_TRAPPING_EXCEPTIONS 0
# define FP_TRAPPING_EXCEPTIONS 0
#endif
#define _FP_ROUND_NEAREST(wc, X) \
do { \
if ((_FP_FRAC_LOW_##wc(X) & 15) != _FP_WORK_ROUND) \
_FP_FRAC_ADDI_##wc(X, _FP_WORK_ROUND); \
} while (0)
/* A file using soft-fp may define FP_NO_EXCEPTIONS before including
soft-fp.h to indicate that, although a macro used there could raise
exceptions, or do rounding and potentially thereby raise
exceptions, for some arguments, for the particular arguments used
in that file no exceptions or rounding can occur. Such a file
should not itself use macros relating to handling exceptions and
rounding modes; this is only for indirect uses (in particular, in
_FP_FROM_INT and the macros it calls). */
#ifdef FP_NO_EXCEPTIONS
#define _FP_ROUND_ZERO(wc, X) (void)0
# undef FP_SET_EXCEPTION
# define FP_SET_EXCEPTION(ex) do {} while (0)
#define _FP_ROUND_PINF(wc, X) \
do { \
if (!X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \
_FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \
} while (0)
# undef FP_CUR_EXCEPTIONS
# define FP_CUR_EXCEPTIONS 0
#define _FP_ROUND_MINF(wc, X) \
do { \
if (X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \
_FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \
} while (0)
# undef FP_TRAPPING_EXCEPTIONS
# define FP_TRAPPING_EXCEPTIONS 0
# undef FP_ROUNDMODE
# define FP_ROUNDMODE FP_RND_ZERO
#endif
#define _FP_ROUND_NEAREST(wc, X) \
do \
{ \
if ((_FP_FRAC_LOW_##wc (X) & 15) != _FP_WORK_ROUND) \
_FP_FRAC_ADDI_##wc (X, _FP_WORK_ROUND); \
} \
while (0)
#define _FP_ROUND_ZERO(wc, X) (void) 0
#define _FP_ROUND_PINF(wc, X) \
do \
{ \
if (!X##_s && (_FP_FRAC_LOW_##wc (X) & 7)) \
_FP_FRAC_ADDI_##wc (X, _FP_WORK_LSB); \
} \
while (0)
#define _FP_ROUND_MINF(wc, X) \
do \
{ \
if (X##_s && (_FP_FRAC_LOW_##wc (X) & 7)) \
_FP_FRAC_ADDI_##wc (X, _FP_WORK_LSB); \
} \
while (0)
#define _FP_ROUND(wc, X) \
do { \
if (_FP_FRAC_LOW_##wc(X) & 7) \
{ \
FP_SET_EXCEPTION(FP_EX_INEXACT); \
switch (FP_ROUNDMODE) \
{ \
case FP_RND_NEAREST: \
_FP_ROUND_NEAREST(wc,X); \
break; \
case FP_RND_ZERO: \
_FP_ROUND_ZERO(wc,X); \
break; \
case FP_RND_PINF: \
_FP_ROUND_PINF(wc,X); \
break; \
case FP_RND_MINF: \
_FP_ROUND_MINF(wc,X); \
break; \
} \
} \
} while (0)
do \
{ \
if (_FP_FRAC_LOW_##wc (X) & 7) \
{ \
FP_SET_EXCEPTION (FP_EX_INEXACT); \
switch (FP_ROUNDMODE) \
{ \
case FP_RND_NEAREST: \
_FP_ROUND_NEAREST (wc, X); \
break; \
case FP_RND_ZERO: \
_FP_ROUND_ZERO (wc, X); \
break; \
case FP_RND_PINF: \
_FP_ROUND_PINF (wc, X); \
break; \
case FP_RND_MINF: \
_FP_ROUND_MINF (wc, X); \
break; \
} \
} \
} \
while (0)
#define FP_CLS_NORMAL 0
#define FP_CLS_ZERO 1
#define FP_CLS_INF 2
#define FP_CLS_NAN 3
#define _FP_CLS_COMBINE(x,y) (((x) << 2) | (y))
#define _FP_CLS_COMBINE(x, y) (((x) << 2) | (y))
#include "op-1.h"
#include "op-2.h"
......@@ -194,35 +231,35 @@ do { \
#define UWtype _FP_W_TYPE
#define W_TYPE_SIZE _FP_W_TYPE_SIZE
typedef int QItype __attribute__((mode(QI)));
typedef int SItype __attribute__((mode(SI)));
typedef int DItype __attribute__((mode(DI)));
typedef unsigned int UQItype __attribute__((mode(QI)));
typedef unsigned int USItype __attribute__((mode(SI)));
typedef unsigned int UDItype __attribute__((mode(DI)));
typedef int QItype __attribute__ ((mode (QI)));
typedef int SItype __attribute__ ((mode (SI)));
typedef int DItype __attribute__ ((mode (DI)));
typedef unsigned int UQItype __attribute__ ((mode (QI)));
typedef unsigned int USItype __attribute__ ((mode (SI)));
typedef unsigned int UDItype __attribute__ ((mode (DI)));
#if _FP_W_TYPE_SIZE == 32
typedef unsigned int UHWtype __attribute__((mode(HI)));
typedef unsigned int UHWtype __attribute__ ((mode (HI)));
#elif _FP_W_TYPE_SIZE == 64
typedef USItype UHWtype;
#endif
#ifndef CMPtype
#define CMPtype int
# define CMPtype int
#endif
#define SI_BITS (__CHAR_BIT__ * (int)sizeof(SItype))
#define DI_BITS (__CHAR_BIT__ * (int)sizeof(DItype))
#define SI_BITS (__CHAR_BIT__ * (int) sizeof (SItype))
#define DI_BITS (__CHAR_BIT__ * (int) sizeof (DItype))
#ifndef umul_ppmm
#ifdef _LIBC
#include <stdlib/longlong.h>
#else
#include "longlong.h"
#endif
# ifdef _LIBC
# include <stdlib/longlong.h>
# else
# include "longlong.h"
# endif
#endif
#ifdef _LIBC
#include <stdlib.h>
# include <stdlib.h>
#else
extern void abort (void);
#endif
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "double.h"
DFtype __subdf3(DFtype a, DFtype b)
DFtype
__subdf3 (DFtype a, DFtype b)
{
FP_DECL_EX;
FP_DECL_D(A); FP_DECL_D(B); FP_DECL_D(R);
FP_DECL_D (A);
FP_DECL_D (B);
FP_DECL_D (R);
DFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_D(A, a);
FP_UNPACK_SEMIRAW_D(B, b);
FP_SUB_D(R, A, B);
FP_PACK_SEMIRAW_D(r, R);
FP_UNPACK_SEMIRAW_D (A, a);
FP_UNPACK_SEMIRAW_D (B, b);
FP_SUB_D (R, A, B);
FP_PACK_SEMIRAW_D (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "single.h"
SFtype __subsf3(SFtype a, SFtype b)
SFtype
__subsf3 (SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A); FP_DECL_S(B); FP_DECL_S(R);
FP_DECL_S (A);
FP_DECL_S (B);
FP_DECL_S (R);
SFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_S(A, a);
FP_UNPACK_SEMIRAW_S(B, b);
FP_SUB_S(R, A, B);
FP_PACK_SEMIRAW_S(r, R);
FP_UNPACK_SEMIRAW_S (A, a);
FP_UNPACK_SEMIRAW_S (B, b);
FP_SUB_S (R, A, B);
FP_PACK_SEMIRAW_S (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -31,17 +31,20 @@
#include "soft-fp.h"
#include "quad.h"
TFtype __subtf3(TFtype a, TFtype b)
TFtype
__subtf3 (TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A); FP_DECL_Q(B); FP_DECL_Q(R);
FP_DECL_Q (A);
FP_DECL_Q (B);
FP_DECL_Q (R);
TFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_Q(A, a);
FP_UNPACK_SEMIRAW_Q(B, b);
FP_SUB_Q(R, A, B);
FP_PACK_SEMIRAW_Q(r, R);
FP_UNPACK_SEMIRAW_Q (A, a);
FP_UNPACK_SEMIRAW_Q (B, b);
FP_SUB_Q (R, A, B);
FP_PACK_SEMIRAW_Q (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -32,21 +32,22 @@
#include "single.h"
#include "double.h"
SFtype __truncdfsf2(DFtype a)
SFtype
__truncdfsf2 (DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
FP_DECL_S(R);
FP_DECL_D (A);
FP_DECL_S (R);
SFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_D(A, a);
FP_UNPACK_SEMIRAW_D (A, a);
#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D
FP_TRUNC(S,D,1,2,R,A);
FP_TRUNC (S, D, 1, 2, R, A);
#else
FP_TRUNC(S,D,1,1,R,A);
FP_TRUNC (S, D, 1, 1, R, A);
#endif
FP_PACK_SEMIRAW_S(r, R);
FP_PACK_SEMIRAW_S (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -32,21 +32,22 @@
#include "double.h"
#include "quad.h"
DFtype __trunctfdf2(TFtype a)
DFtype
__trunctfdf2 (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_D(R);
FP_DECL_Q (A);
FP_DECL_D (R);
DFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_Q(A, a);
FP_UNPACK_SEMIRAW_Q (A, a);
#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q
FP_TRUNC(D,Q,2,4,R,A);
FP_TRUNC (D, Q, 2, 4, R, A);
#else
FP_TRUNC(D,Q,1,2,R,A);
FP_TRUNC (D, Q, 1, 2, R, A);
#endif
FP_PACK_SEMIRAW_D(r, R);
FP_PACK_SEMIRAW_D (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -32,21 +32,22 @@
#include "single.h"
#include "quad.h"
SFtype __trunctfsf2(TFtype a)
SFtype
__trunctfsf2 (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_S(R);
FP_DECL_Q (A);
FP_DECL_S (R);
SFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_Q(A, a);
FP_UNPACK_SEMIRAW_Q (A, a);
#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q
FP_TRUNC(S,Q,1,4,R,A);
FP_TRUNC (S, Q, 1, 4, R, A);
#else
FP_TRUNC(S,Q,1,2,R,A);
FP_TRUNC (S, Q, 1, 2, R, A);
#endif
FP_PACK_SEMIRAW_S(r, R);
FP_PACK_SEMIRAW_S (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
/* Software floating-point emulation.
Truncate IEEE quad into IEEE extended
Copyright (C) 2007 Free Software Foundation, Inc.
Copyright (C) 2007-2013 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Uros Bizjak (ubizjak@gmail.com).
......@@ -24,29 +24,29 @@
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, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA. */
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include "soft-fp.h"
#include "extended.h"
#include "quad.h"
XFtype __trunctfxf2(TFtype a)
XFtype
__trunctfxf2 (TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
FP_DECL_E(R);
FP_DECL_Q (A);
FP_DECL_E (R);
XFtype r;
FP_INIT_ROUNDMODE;
FP_UNPACK_SEMIRAW_Q(A, a);
FP_UNPACK_SEMIRAW_Q (A, a);
#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q
FP_TRUNC(E,Q,4,4,R,A);
FP_TRUNC (E, Q, 4, 4, R, A);
#else
FP_TRUNC(E,Q,2,2,R,A);
FP_TRUNC (E, Q, 2, 2, R, A);
#endif
FP_PACK_SEMIRAW_E(r, R);
FP_PACK_SEMIRAW_E (r, R);
FP_HANDLE_EXCEPTIONS;
return r;
......
......@@ -30,14 +30,21 @@
#include "soft-fp.h"
#include "double.h"
CMPtype __unorddf2(DFtype a, DFtype b)
CMPtype
__unorddf2 (DFtype a, DFtype b)
{
FP_DECL_D(A); FP_DECL_D(B);
FP_DECL_EX;
FP_DECL_D (A);
FP_DECL_D (B);
CMPtype r;
FP_UNPACK_RAW_D(A, a);
FP_UNPACK_RAW_D(B, b);
FP_CMP_UNORD_D(r, A, B);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_D (A, a);
FP_UNPACK_RAW_D (B, b);
FP_CMP_UNORD_D (r, A, B);
if (r && (FP_ISSIGNAN_D (A) || FP_ISSIGNAN_D (B)))
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
......@@ -30,15 +30,21 @@
#include "soft-fp.h"
#include "single.h"
CMPtype __unordsf2(SFtype a, SFtype b)
CMPtype
__unordsf2 (SFtype a, SFtype b)
{
FP_DECL_S(A);
FP_DECL_S(B);
FP_DECL_EX;
FP_DECL_S (A);
FP_DECL_S (B);
CMPtype r;
FP_UNPACK_RAW_S(A, a);
FP_UNPACK_RAW_S(B, b);
FP_CMP_UNORD_S(r, A, B);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_S (A, a);
FP_UNPACK_RAW_S (B, b);
FP_CMP_UNORD_S (r, A, B);
if (r && (FP_ISSIGNAN_S (A) || FP_ISSIGNAN_S (B)))
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
......@@ -30,15 +30,21 @@
#include "soft-fp.h"
#include "quad.h"
CMPtype __unordtf2(TFtype a, TFtype b)
CMPtype
__unordtf2 (TFtype a, TFtype b)
{
FP_DECL_Q(A);
FP_DECL_Q(B);
FP_DECL_EX;
FP_DECL_Q (A);
FP_DECL_Q (B);
CMPtype r;
FP_UNPACK_RAW_Q(A, a);
FP_UNPACK_RAW_Q(B, b);
FP_CMP_UNORD_Q(r, A, B);
FP_INIT_EXCEPTIONS;
FP_UNPACK_RAW_Q (A, a);
FP_UNPACK_RAW_Q (B, b);
FP_CMP_UNORD_Q (r, A, B);
if (r && (FP_ISSIGNAN_Q (A) || FP_ISSIGNAN_Q (B)))
FP_SET_EXCEPTION (FP_EX_INVALID);
FP_HANDLE_EXCEPTIONS;
return r;
}
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