+2013-10-14 Joseph Myers <joseph@codesourcery.com>
+
+ * soft-fp/adddf3.c: Fix vertical whitespace and indentation.
+ * 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/floatunsidf.c: Likewise.
+ * soft-fp/floatunsisf.c: Likewise.
+ * soft-fp/floatuntidf.c: Likewise.
+ * soft-fp/floatuntisf.c: Likewise.
+ * soft-fp/floatuntitf.c: Likewise.
+ * soft-fp/fmadf4.c: Likewise.
+ * soft-fp/fmasf4.c: Likewise.
+ * soft-fp/fmatf4.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/sqrtdf2.c: Likewise.
+ * soft-fp/sqrtsf2.c: Likewise.
+ * soft-fp/sqrttf2.c: 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.
+
2013-10-14 Ondřej Bílka <neleai@seznam.cz>
[BZ #15672]
#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;
#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;
#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;
#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;
#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;
#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;
union _FP_UNION_D
{
DFtype flt;
- struct _FP_STRUCT_LAYOUT {
+ struct _FP_STRUCT_LAYOUT
+ {
# if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_D;
# 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_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)
union _FP_UNION_D
{
DFtype flt;
- struct _FP_STRUCT_LAYOUT {
+ struct _FP_STRUCT_LAYOUT
+ {
# if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_D;
# 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_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)
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#include "double.h"
#include "quad.h"
-TFtype __extenddftf2(DFtype a)
+TFtype
+__extenddftf2(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
union _FP_UNION_E
{
- XFtype flt;
- struct _FP_STRUCT_LAYOUT
- {
+ 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;
+ 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;
+ 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));
+ } 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_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_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)
+ 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)
union _FP_UNION_E
{
XFtype flt;
- struct _FP_STRUCT_LAYOUT {
+ struct _FP_STRUCT_LAYOUT
+ {
# if __BYTE_ORDER == __BIG_ENDIAN
_FP_W_TYPE pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
unsigned sign : 1;
# 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_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; \
+ do \
+ { \
+ union _FP_UNION_E *_flo = (union _FP_UNION_E *)(val); \
\
- (val) = _flo.flt; \
- } while (0)
+ 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); \
+ 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)
+ 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)
* 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)
+ 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)
#include "single.h"
#include "double.h"
-DFtype __extendsfdf2(SFtype a)
+DFtype
+__extendsfdf2(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "single.h"
#include "quad.h"
-TFtype __extendsftf2(SFtype a)
+TFtype
+__extendsftf2(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "extended.h"
#include "quad.h"
-TFtype __extendxftf2(XFtype a)
+TFtype
+__extendxftf2(XFtype a)
{
FP_DECL_EX;
FP_DECL_E(A);
#include "soft-fp.h"
#include "double.h"
-DItype __fixdfdi(DFtype a)
+DItype
+__fixdfdi(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "double.h"
-SItype __fixdfsi(DFtype a)
+SItype
+__fixdfsi(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "double.h"
-TItype __fixdfti(DFtype a)
+TItype
+__fixdfti(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "single.h"
-DItype __fixsfdi(SFtype a)
+DItype
+__fixsfdi(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "single.h"
-SItype __fixsfsi(SFtype a)
+SItype
+__fixsfsi(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "single.h"
-TItype __fixsfti(SFtype a)
+TItype
+__fixsfti(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-DItype __fixtfdi(TFtype a)
+DItype
+__fixtfdi(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "quad.h"
-SItype __fixtfsi(TFtype a)
+SItype
+__fixtfsi(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "quad.h"
-TItype __fixtfti(TFtype a)
+TItype
+__fixtfti(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "double.h"
-UDItype __fixunsdfdi(DFtype a)
+UDItype
+__fixunsdfdi(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "double.h"
-USItype __fixunsdfsi(DFtype a)
+USItype
+__fixunsdfsi(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "double.h"
-UTItype __fixunsdfti(DFtype a)
+UTItype
+__fixunsdfti(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "single.h"
-UDItype __fixunssfdi(SFtype a)
+UDItype
+__fixunssfdi(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "single.h"
-USItype __fixunssfsi(SFtype a)
+USItype
+__fixunssfsi(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "single.h"
-UTItype __fixunssfti(SFtype a)
+UTItype
+__fixunssfti(SFtype a)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-UDItype __fixunstfdi(TFtype a)
+UDItype
+__fixunstfdi(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "quad.h"
-USItype __fixunstfsi(TFtype a)
+USItype
+__fixunstfsi(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "quad.h"
-UTItype __fixunstfti(TFtype a)
+UTItype
+__fixunstfti(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "double.h"
-DFtype __floatdidf(DItype i)
+DFtype
+__floatdidf(DItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "single.h"
-SFtype __floatdisf(DItype i)
+SFtype
+__floatdisf(DItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-TFtype __floatditf(DItype i)
+TFtype
+__floatditf(DItype i)
{
FP_DECL_Q(A);
TFtype a;
#include "soft-fp.h"
#include "double.h"
-DFtype __floatsidf(SItype i)
+DFtype
+__floatsidf(SItype i)
{
FP_DECL_D(A);
DFtype a;
#include "soft-fp.h"
#include "single.h"
-SFtype __floatsisf(SItype i)
+SFtype
+__floatsisf(SItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-TFtype __floatsitf(SItype i)
+TFtype
+__floatsitf(SItype i)
{
FP_DECL_Q(A);
TFtype a;
#include "soft-fp.h"
#include "double.h"
-DFtype __floattidf(TItype i)
+DFtype
+__floattidf(TItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "single.h"
-SFtype __floattisf(TItype i)
+SFtype
+__floattisf(TItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-TFtype __floattitf(TItype i)
+TFtype
+__floattitf(TItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "double.h"
-DFtype __floatundidf(UDItype i)
+DFtype
+__floatundidf(UDItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "single.h"
-SFtype __floatundisf(UDItype i)
+SFtype
+__floatundisf(UDItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "double.h"
-DFtype __floatunsidf(USItype i)
+DFtype
+__floatunsidf(USItype i)
{
FP_DECL_D(A);
DFtype a;
#include "soft-fp.h"
#include "single.h"
-SFtype __floatunsisf(USItype i)
+SFtype
+__floatunsisf(USItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "double.h"
-DFtype __floatuntidf(UTItype i)
+DFtype
+__floatuntidf(UTItype i)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "soft-fp.h"
#include "single.h"
-SFtype __floatuntisf(UTItype i)
+SFtype
+__floatuntisf(UTItype i)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-TFtype __floatuntitf(UTItype i)
+TFtype
+__floatuntitf(UTItype i)
{
FP_DECL_EX;
FP_DECL_Q(A);
__fma (double a, double b, double c)
{
FP_DECL_EX;
- FP_DECL_D(A); FP_DECL_D(B); FP_DECL_D(C); FP_DECL_D(R);
+ FP_DECL_D(A);
+ FP_DECL_D(B);
+ FP_DECL_D(C);
+ FP_DECL_D(R);
double r;
FP_INIT_ROUNDMODE;
__fmaf (float a, float b, float c)
{
FP_DECL_EX;
- FP_DECL_S(A); FP_DECL_S(B); FP_DECL_S(C); FP_DECL_S(R);
+ FP_DECL_S(A);
+ FP_DECL_S(B);
+ FP_DECL_S(C);
+ FP_DECL_S(R);
float r;
FP_INIT_ROUNDMODE;
__fmal (long double a, long double b, long double c)
{
FP_DECL_EX;
- FP_DECL_Q(A); FP_DECL_Q(B); FP_DECL_Q(C); FP_DECL_Q(R);
+ FP_DECL_Q(A);
+ FP_DECL_Q(B);
+ FP_DECL_Q(C);
+ FP_DECL_Q(R);
long double r;
FP_INIT_ROUNDMODE;
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#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_INIT_EXCEPTIONS;
#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;
#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;
#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;
#include "soft-fp.h"
#include "double.h"
-DFtype __negdf2(DFtype a)
+DFtype
+__negdf2(DFtype a)
{
- FP_DECL_D(A); FP_DECL_D(R);
+ FP_DECL_D(A);
+ FP_DECL_D(R);
DFtype r;
FP_UNPACK_RAW_D(A, a);
#include "soft-fp.h"
#include "single.h"
-SFtype __negsf2(SFtype a)
+SFtype
+__negsf2(SFtype a)
{
- FP_DECL_S(A); FP_DECL_S(R);
+ FP_DECL_S(A);
+ FP_DECL_S(R);
SFtype r;
FP_UNPACK_RAW_S(A, a);
#include "soft-fp.h"
#include "quad.h"
-TFtype __negtf2(TFtype a)
+TFtype
+__negtf2(TFtype a)
{
- FP_DECL_Q(A); FP_DECL_Q(R);
+ FP_DECL_Q(A);
+ FP_DECL_Q(R);
TFtype r;
FP_UNPACK_RAW_Q(A, a);
#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)
+ 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_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)))
+ 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)
* 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)
/*
/* 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_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 { \
- _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)
+ 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_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_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)
+ 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_DW_1_hard(wfracbits, R, X, Y) \
- do { \
- _FP_W_TYPE _xh, _xl, _yh, _yl; \
- _FP_FRAC_DECL_2(_a); \
- \
- /* 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); \
+ do \
+ { \
+ _FP_W_TYPE _xh, _xl, _yh, _yl; \
+ _FP_FRAC_DECL_2(_a); \
\
- /* multiply the pieces */ \
- R##_f0 = _xl * _yl; \
- _a_f0 = _xh * _yl; \
- _a_f1 = _xl * _yh; \
- R##_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) \
- 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); \
+ /* 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)
/*
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
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)
/*
* 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.
#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_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; \
- }))
+ (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_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_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_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_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_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
# 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)
+ do \
+ { \
+ UWtype _t = xl; \
+ xh -= yh + ((xl -= yl) > _t); \
+ } \
+ while (0)
# endif
#else
* 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)
/*
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
#define _FP_MUL_MEAT_DW_2_wide(wfracbits, R, X, Y, doit) \
- do { \
- _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \
+ 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(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); \
\
- __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)
+ __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); \
+ do \
+ { \
+ _FP_FRAC_DECL_4(_z); \
\
- _FP_MUL_MEAT_DW_2_wide(wfracbits, _z, X, Y, doit); \
+ _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_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; \
+ 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(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 = 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(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)
+ _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); \
- \
- _FP_MUL_MEAT_DW_2_wide_3mul(wfracbits, _z, 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)
-
-#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; \
+ _FP_MUL_MEAT_DW_2_wide_3mul(wfracbits, _z, X, Y, doit); \
\
- mpn_mul_n(R##_f, _x, _y, 2); \
- } 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)
+
+#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); \
+ do \
+ { \
+ _FP_FRAC_DECL_4(_z); \
\
- _FP_MUL_MEAT_DW_2_gmp(wfracbits, _z, X, Y); \
+ _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
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_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; \
- } \
+ 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; \
+ } \
\
- /* Normalize, i.e. make the most significant bit of the \
- denominator set. */ \
- _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \
+ /* Normalize, i.e. make the most significant bit of the \
+ denominator set. */ \
+ _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \
\
- 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); \
+ 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); \
\
- 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)
+ 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_GE_2(X, Y)) \
- { \
- _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 \
- { \
- R##_e--; \
- _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); \
- } \
+ 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_GE_2(X, Y)) \
+ { \
+ _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 \
+ { \
+ R##_e--; \
+ _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); \
+ } \
\
- (void) mpn_divrem (_z, 0, _x, 4, _y, 2); \
- R##_f1 = _z[1]; \
- R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \
- } while (0)
+ (void) mpn_divrem (_z, 0, _x, 4, _y, 2); \
+ R##_f1 = _z[1]; \
+ R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \
+ } \
+ while (0)
/*
* 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)
/*
*/
#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
#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_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.
* 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)
+ 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)
+ 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], \
#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])
+ (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]) \
- )) \
- )) \
- )
+ (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)
+ (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:
/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */
-#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)
+#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_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)
+#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)
/*
* 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)
/*
#ifndef __FP_FRAC_ADD_3
# 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)
+ 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)
+ 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)
+ 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)
+ 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
#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
* 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)
+ 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)
#define _FP_FRAC_LOW_8(X) (X##_f[0])
#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.
* 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)
+ 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)
* 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
/* 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)) \
- { \
- X##_e = _FP_EXPMAX_##fs; \
- _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
- } \
- else \
+ do \
{ \
- X##_e = _FP_EXPMAX_##fs - 1; \
- _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##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); \
} \
- 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)
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) \
+ } \
+ 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
* 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; \
+#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; \
- } \
- } \
- sub_done: ; \
- } \
-} while (0)
+ 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_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. The input value is raw.
*/
-#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)
+#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)
-
-
-/* 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; \
+#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; \
\
- case FP_CLS_ZERO: \
- R##_c = FP_CLS_NORMAL; \
- R##_s = T##_s; \
- R##_e = T##_e; \
+ _FP_MUL_MEAT_##fs(R,X,Y); \
\
- _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; \
\
- 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_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_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_NAN,FP_CLS_NAN): \
- _FP_CHOOSENAN(fs, wc, T, X, Y, '*'); \
- break; \
+ 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_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_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_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_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_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_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; \
\
- 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; \
+ 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; \
\
- 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; \
+ _FP_DIV_MEAT_##fs(R,X,Y); \
+ break; \
\
- default: \
- abort(); \
- } \
+ case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
+ _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \
+ break; \
\
- /* 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): \
+ R##_s = X##_s; \
+ _FP_FRAC_COPY_##wc(R, X); \
+ R##_c = X##_c; \
+ 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_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_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_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_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_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_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; \
+ 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(); \
- } \
- 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)
+ default: \
+ abort(); \
+ } \
+ } \
+ while (0)
/*
*/
#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.
* 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)) \
+ 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 if (inexact) \
- FP_SET_EXCEPTION(FP_EX_INEXACT); \
} \
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)); \
+ } \
+ } \
+ } \
+ } \
+ 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.
#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)
union _FP_UNION_Q
{
- TFtype flt;
- struct _FP_STRUCT_LAYOUT
- {
+ 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;
+ 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;
+ 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));
+ } bits __attribute__((packed));
};
# 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_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)
union _FP_UNION_Q
{
TFtype flt /* __attribute__((mode(TF))) */ ;
- struct _FP_STRUCT_LAYOUT {
+ struct _FP_STRUCT_LAYOUT
+ {
_FP_W_TYPE a, b;
} longs;
- struct _FP_STRUCT_LAYOUT {
+ struct _FP_STRUCT_LAYOUT
+ {
# if __BYTE_ORDER == __BIG_ENDIAN
unsigned sign : 1;
unsigned exp : _FP_EXPBITS_Q;
# 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_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)
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;
#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_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)
#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_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_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
#include "soft-fp.h"
#include "double.h"
-DFtype __sqrtdf2(DFtype a)
+DFtype
+__sqrtdf2(DFtype a)
{
FP_DECL_EX;
- FP_DECL_D(A); FP_DECL_D(R);
+ FP_DECL_D(A);
+ FP_DECL_D(R);
DFtype r;
FP_INIT_ROUNDMODE;
#include "soft-fp.h"
#include "single.h"
-SFtype __sqrtsf2(SFtype a)
+SFtype
+__sqrtsf2(SFtype a)
{
FP_DECL_EX;
- FP_DECL_S(A); FP_DECL_S(R);
+ FP_DECL_S(A);
+ FP_DECL_S(R);
SFtype r;
FP_INIT_ROUNDMODE;
#include "soft-fp.h"
#include "quad.h"
-TFtype __sqrttf2(TFtype a)
+TFtype
+__sqrttf2(TFtype a)
{
FP_DECL_EX;
- FP_DECL_Q(A); FP_DECL_Q(R);
+ FP_DECL_Q(A);
+ FP_DECL_Q(R);
TFtype r;
FP_INIT_ROUNDMODE;
#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;
#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;
#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;
#include "single.h"
#include "double.h"
-SFtype __truncdfsf2(DFtype a)
+SFtype
+__truncdfsf2(DFtype a)
{
FP_DECL_EX;
FP_DECL_D(A);
#include "double.h"
#include "quad.h"
-DFtype __trunctfdf2(TFtype a)
+DFtype
+__trunctfdf2(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "single.h"
#include "quad.h"
-SFtype __trunctfsf2(TFtype a)
+SFtype
+__trunctfsf2(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "extended.h"
#include "quad.h"
-XFtype __trunctfxf2(TFtype a)
+XFtype
+__trunctfxf2(TFtype a)
{
FP_DECL_EX;
FP_DECL_Q(A);
#include "soft-fp.h"
#include "double.h"
-CMPtype __unorddf2(DFtype a, DFtype b)
+CMPtype
+__unorddf2(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_INIT_EXCEPTIONS;
#include "soft-fp.h"
#include "single.h"
-CMPtype __unordsf2(SFtype a, SFtype b)
+CMPtype
+__unordsf2(SFtype a, SFtype b)
{
FP_DECL_EX;
FP_DECL_S(A);
#include "soft-fp.h"
#include "quad.h"
-CMPtype __unordtf2(TFtype a, TFtype b)
+CMPtype
+__unordtf2(TFtype a, TFtype b)
{
FP_DECL_EX;
FP_DECL_Q(A);
projects / thirdparty / glibc.git / commitdiff
