/* Software floating-point emulation. Common operations.
- Copyright (C) 1997,1998,1999,2006,2007,2012 Free Software Foundation, Inc.
+ Copyright (C) 1997-2014 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Richard Henderson (rth@cygnus.com),
Jakub Jelinek (jj@ultra.linux.cz),
<http://www.gnu.org/licenses/>. */
#define _FP_DECL(wc, X) \
- _FP_I_TYPE X##_c __attribute__((unused)); \
- _FP_I_TYPE X##_s __attribute__((unused)); \
+ _FP_I_TYPE X##_c __attribute__ ((unused)); \
+ _FP_I_TYPE X##_s __attribute__ ((unused)); \
_FP_I_TYPE X##_e; \
- _FP_FRAC_DECL_##wc(X)
+ _FP_FRAC_DECL_##wc (X)
+
+/* Test whether the qNaN bit denotes a signaling NaN. */
+#define _FP_FRAC_SNANP(fs, X) \
+ ((_FP_QNANNEGATEDP) \
+ ? (_FP_FRAC_HIGH_RAW_##fs (X) & _FP_QNANBIT_##fs) \
+ : !(_FP_FRAC_HIGH_RAW_##fs (X) & _FP_QNANBIT_##fs))
+#define _FP_FRAC_SNANP_SEMIRAW(fs, X) \
+ ((_FP_QNANNEGATEDP) \
+ ? (_FP_FRAC_HIGH_##fs (X) & _FP_QNANBIT_SH_##fs) \
+ : !(_FP_FRAC_HIGH_##fs (X) & _FP_QNANBIT_SH_##fs))
/*
- * Finish truely unpacking a native fp value by classifying the kind
+ * Finish truly unpacking a native fp value by classifying the kind
* of fp value and normalizing both the exponent and the fraction.
*/
-#define _FP_UNPACK_CANONICAL(fs, wc, X) \
-do { \
- switch (X##_e) \
- { \
- default: \
- _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \
- _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \
- X##_e -= _FP_EXPBIAS_##fs; \
- X##_c = FP_CLS_NORMAL; \
- break; \
- \
- case 0: \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- X##_c = FP_CLS_ZERO; \
- else \
- { \
- /* a denormalized number */ \
- _FP_I_TYPE _shift; \
- _FP_FRAC_CLZ_##wc(_shift, X); \
- _shift -= _FP_FRACXBITS_##fs; \
- _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \
- X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \
- X##_c = FP_CLS_NORMAL; \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- } \
- break; \
- \
- case _FP_EXPMAX_##fs: \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- X##_c = FP_CLS_INF; \
- else \
- { \
- X##_c = FP_CLS_NAN; \
- /* Check for signaling NaN */ \
- if (!(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- } \
- break; \
- } \
-} while (0)
+#define _FP_UNPACK_CANONICAL(fs, wc, X) \
+ do \
+ { \
+ switch (X##_e) \
+ { \
+ default: \
+ _FP_FRAC_HIGH_RAW_##fs (X) |= _FP_IMPLBIT_##fs; \
+ _FP_FRAC_SLL_##wc (X, _FP_WORKBITS); \
+ X##_e -= _FP_EXPBIAS_##fs; \
+ X##_c = FP_CLS_NORMAL; \
+ break; \
+ \
+ case 0: \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ X##_c = FP_CLS_ZERO; \
+ else \
+ { \
+ /* a denormalized number */ \
+ _FP_I_TYPE _shift; \
+ _FP_FRAC_CLZ_##wc (_shift, X); \
+ _shift -= _FP_FRACXBITS_##fs; \
+ _FP_FRAC_SLL_##wc (X, (_shift+_FP_WORKBITS)); \
+ X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \
+ X##_c = FP_CLS_NORMAL; \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ } \
+ break; \
+ \
+ case _FP_EXPMAX_##fs: \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ X##_c = FP_CLS_INF; \
+ else \
+ { \
+ X##_c = FP_CLS_NAN; \
+ /* Check for signaling NaN */ \
+ if (_FP_FRAC_SNANP (fs, X)) \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ } \
+ break; \
+ } \
+ } \
+ while (0)
/* Finish unpacking an fp value in semi-raw mode: the mantissa is
shifted by _FP_WORKBITS but the implicit MSB is not inserted and
other classification is not done. */
-#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc(X, _FP_WORKBITS)
+#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc (X, _FP_WORKBITS)
/* A semi-raw value has overflowed to infinity. Adjust the mantissa
and exponent appropriately. */
#define _FP_OVERFLOW_SEMIRAW(fs, wc, X) \
-do { \
- if (FP_ROUNDMODE == FP_RND_NEAREST \
- || (FP_ROUNDMODE == FP_RND_PINF && !X##_s) \
- || (FP_ROUNDMODE == FP_RND_MINF && X##_s)) \
- { \
- 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_HIGH_##fs(X) & _FP_QNANBIT_SH_##fs)) \
- 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)
/* 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) \
+ FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \
+ } \
+ if (_FP_FRAC_HIGH_##fs (X) \
+ & (_FP_OVERFLOW_##fs >> 1)) \
{ \
- _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
- X##_s = _FP_NANSIGN_##fs; \
+ _FP_FRAC_HIGH_##fs (X) &= ~(_FP_OVERFLOW_##fs >> 1); \
+ X##_e++; \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ _FP_OVERFLOW_SEMIRAW (fs, wc, X); \
+ } \
+ _FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \
+ if (X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \
+ { \
+ if (!_FP_KEEPNANFRACP) \
+ { \
+ _FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \
+ X##_s = _FP_NANSIGN_##fs; \
+ } \
+ else \
+ _FP_SETQNAN (fs, wc, X); \
} \
- else \
- _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \
} \
-} 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_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \
- 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_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \
- __ret = 1; \
- } \
- __ret; \
-})
+#define _FP_ISSIGNAN(fs, wc, X) \
+ ({ \
+ int __ret = 0; \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ if (!_FP_FRAC_ZEROP_##wc (X) \
+ && _FP_FRAC_SNANP (fs, X)) \
+ __ret = 1; \
+ } \
+ __ret; \
+ })
/* Addition on semi-raw values. */
-#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
-do { \
- if (X##_s == Y##_s) \
- { \
- /* Addition. */ \
- R##_s = X##_s; \
- int ediff = X##_e - Y##_e; \
- if (ediff > 0) \
- { \
- R##_e = X##_e; \
- if (Y##_e == 0) \
- { \
- /* Y is zero or denormalized. */ \
- if (_FP_FRAC_ZEROP_##wc(Y)) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto add_done; \
- } \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- ediff--; \
- if (ediff == 0) \
- { \
- _FP_FRAC_ADD_##wc(R, X, Y); \
- goto add3; \
- } \
- if (X##_e == _FP_EXPMAX_##fs) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto add_done; \
- } \
- goto add1; \
- } \
- } \
- else if (X##_e == _FP_EXPMAX_##fs) \
- { \
- /* X is NaN or Inf, Y is normal. */ \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto add_done; \
- } \
- \
- /* Insert implicit MSB of Y. */ \
- _FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \
- \
- add1: \
- /* Shift the mantissa of Y to the right EDIFF steps; \
- remember to account later for the implicit MSB of X. */ \
- if (ediff <= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \
- else if (!_FP_FRAC_ZEROP_##wc(Y)) \
- _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
- _FP_FRAC_ADD_##wc(R, X, Y); \
- } \
- else if (ediff < 0) \
- { \
- ediff = -ediff; \
- R##_e = Y##_e; \
- if (X##_e == 0) \
- { \
- /* X is zero or denormalized. */ \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto add_done; \
- } \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- ediff--; \
- if (ediff == 0) \
- { \
- _FP_FRAC_ADD_##wc(R, Y, X); \
- goto add3; \
- } \
- if (Y##_e == _FP_EXPMAX_##fs) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto add_done; \
- } \
- goto add2; \
- } \
- } \
- else if (Y##_e == _FP_EXPMAX_##fs) \
- { \
- /* Y is NaN or Inf, X is normal. */ \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto add_done; \
- } \
- \
- /* Insert implicit MSB of X. */ \
- _FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \
- \
- add2: \
- /* Shift the mantissa of X to the right EDIFF steps; \
- remember to account later for the implicit MSB of Y. */ \
- if (ediff <= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \
- else if (!_FP_FRAC_ZEROP_##wc(X)) \
- _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
- _FP_FRAC_ADD_##wc(R, Y, X); \
- } \
- else \
- { \
- /* ediff == 0. */ \
- if (!_FP_EXP_NORMAL(fs, wc, X)) \
- { \
- if (X##_e == 0) \
- { \
- /* X and Y are zero or denormalized. */ \
- R##_e = 0; \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- { \
- if (!_FP_FRAC_ZEROP_##wc(Y)) \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto add_done; \
- } \
- else if (_FP_FRAC_ZEROP_##wc(Y)) \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto add_done; \
- } \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- _FP_FRAC_ADD_##wc(R, X, Y); \
- if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
- { \
- /* Normalized result. */ \
- _FP_FRAC_HIGH_##fs(R) \
- &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
- R##_e = 1; \
- } \
- goto add_done; \
- } \
- } \
- else \
- { \
- /* X and Y are NaN or Inf. */ \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- R##_e = _FP_EXPMAX_##fs; \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- _FP_FRAC_COPY_##wc(R, Y); \
- else if (_FP_FRAC_ZEROP_##wc(Y)) \
- _FP_FRAC_COPY_##wc(R, X); \
- else \
- _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \
- goto add_done; \
- } \
- } \
- /* The exponents of X and Y, both normal, are equal. The \
- implicit MSBs will always add to increase the \
- exponent. */ \
- _FP_FRAC_ADD_##wc(R, X, Y); \
- R##_e = X##_e + 1; \
- _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
- if (R##_e == _FP_EXPMAX_##fs) \
- /* Overflow to infinity (depending on rounding mode). */ \
- _FP_OVERFLOW_SEMIRAW(fs, wc, R); \
- goto add_done; \
- } \
- add3: \
- if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
- { \
- /* Overflow. */ \
- _FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
- R##_e++; \
- _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
- if (R##_e == _FP_EXPMAX_##fs) \
- /* Overflow to infinity (depending on rounding mode). */ \
- _FP_OVERFLOW_SEMIRAW(fs, wc, R); \
- } \
- add_done: ; \
- } \
- else \
- { \
- /* Subtraction. */ \
- int ediff = X##_e - Y##_e; \
- if (ediff > 0) \
- { \
- R##_e = X##_e; \
- R##_s = X##_s; \
- if (Y##_e == 0) \
- { \
- /* Y is zero or denormalized. */ \
- if (_FP_FRAC_ZEROP_##wc(Y)) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto sub_done; \
- } \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- ediff--; \
- if (ediff == 0) \
- { \
- _FP_FRAC_SUB_##wc(R, X, Y); \
- goto sub3; \
- } \
- if (X##_e == _FP_EXPMAX_##fs) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto sub_done; \
- } \
- goto sub1; \
- } \
- } \
- else if (X##_e == _FP_EXPMAX_##fs) \
- { \
- /* X is NaN or Inf, Y is normal. */ \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_FRAC_COPY_##wc(R, X); \
- goto sub_done; \
- } \
- \
- /* Insert implicit MSB of Y. */ \
- _FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \
- \
- sub1: \
- /* Shift the mantissa of Y to the right EDIFF steps; \
- remember to account later for the implicit MSB of X. */ \
- if (ediff <= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \
- else if (!_FP_FRAC_ZEROP_##wc(Y)) \
- _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
- _FP_FRAC_SUB_##wc(R, X, Y); \
- } \
- else if (ediff < 0) \
- { \
- ediff = -ediff; \
- R##_e = Y##_e; \
- R##_s = Y##_s; \
- if (X##_e == 0) \
- { \
- /* X is zero or denormalized. */ \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto sub_done; \
- } \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- ediff--; \
- if (ediff == 0) \
- { \
- _FP_FRAC_SUB_##wc(R, Y, X); \
- goto sub3; \
- } \
- if (Y##_e == _FP_EXPMAX_##fs) \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto sub_done; \
- } \
- goto sub2; \
- } \
- } \
- else if (Y##_e == _FP_EXPMAX_##fs) \
- { \
- /* Y is NaN or Inf, X is normal. */ \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- _FP_FRAC_COPY_##wc(R, Y); \
- goto sub_done; \
- } \
- \
- /* Insert implicit MSB of X. */ \
- _FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \
- \
- sub2: \
- /* Shift the mantissa of X to the right EDIFF steps; \
- remember to account later for the implicit MSB of Y. */ \
- if (ediff <= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \
- else if (!_FP_FRAC_ZEROP_##wc(X)) \
- _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
- _FP_FRAC_SUB_##wc(R, Y, X); \
- } \
- else \
- { \
- /* ediff == 0. */ \
- if (!_FP_EXP_NORMAL(fs, wc, X)) \
- { \
- if (X##_e == 0) \
- { \
- /* X and Y are zero or denormalized. */ \
- R##_e = 0; \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- { \
- _FP_FRAC_COPY_##wc(R, Y); \
- if (_FP_FRAC_ZEROP_##wc(Y)) \
- R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- R##_s = Y##_s; \
- } \
- goto sub_done; \
- } \
- else if (_FP_FRAC_ZEROP_##wc(Y)) \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- _FP_FRAC_COPY_##wc(R, X); \
- R##_s = X##_s; \
- goto sub_done; \
- } \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- _FP_FRAC_SUB_##wc(R, X, Y); \
- R##_s = X##_s; \
- if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
- { \
- /* |X| < |Y|, negate result. */ \
- _FP_FRAC_SUB_##wc(R, Y, X); \
- R##_s = Y##_s; \
- } \
- else if (_FP_FRAC_ZEROP_##wc(R)) \
- R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
- goto sub_done; \
- } \
- } \
- else \
- { \
- /* X and Y are NaN or Inf, of opposite signs. */ \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
- _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
- R##_e = _FP_EXPMAX_##fs; \
- if (_FP_FRAC_ZEROP_##wc(X)) \
- { \
- if (_FP_FRAC_ZEROP_##wc(Y)) \
- { \
- /* Inf - Inf. */ \
- R##_s = _FP_NANSIGN_##fs; \
- _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
- _FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- } \
- else \
- { \
- /* Inf - NaN. */ \
- R##_s = Y##_s; \
- _FP_FRAC_COPY_##wc(R, Y); \
- } \
- } \
- else \
- { \
- if (_FP_FRAC_ZEROP_##wc(Y)) \
- { \
- /* NaN - Inf. */ \
- R##_s = X##_s; \
- _FP_FRAC_COPY_##wc(R, X); \
- } \
- else \
- { \
- /* NaN - NaN. */ \
- _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \
- } \
- } \
- goto sub_done; \
- } \
- } \
- /* The exponents of X and Y, both normal, are equal. The \
- implicit MSBs cancel. */ \
- R##_e = X##_e; \
- _FP_FRAC_SUB_##wc(R, X, Y); \
- R##_s = X##_s; \
- if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
- { \
- /* |X| < |Y|, negate result. */ \
- _FP_FRAC_SUB_##wc(R, Y, X); \
- R##_s = Y##_s; \
- } \
- else if (_FP_FRAC_ZEROP_##wc(R)) \
- { \
- R##_e = 0; \
- R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
- goto sub_done; \
- } \
- goto norm; \
- } \
- sub3: \
- if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
- { \
- int diff; \
- /* Carry into most significant bit of larger one of X and Y, \
- canceling it; renormalize. */ \
- _FP_FRAC_HIGH_##fs(R) &= _FP_IMPLBIT_SH_##fs - 1; \
- norm: \
- _FP_FRAC_CLZ_##wc(diff, R); \
- diff -= _FP_WFRACXBITS_##fs; \
- _FP_FRAC_SLL_##wc(R, diff); \
- if (R##_e <= diff) \
- { \
- /* R is denormalized. */ \
- diff = diff - R##_e + 1; \
- _FP_FRAC_SRS_##wc(R, diff, _FP_WFRACBITS_##fs); \
- R##_e = 0; \
- } \
- else \
- { \
- R##_e -= diff; \
- _FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
- } \
- } \
- sub_done: ; \
- } \
-} while (0)
+#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
+ do \
+ { \
+ if (X##_s == Y##_s) \
+ { \
+ /* Addition. */ \
+ R##_s = X##_s; \
+ int ediff = X##_e - Y##_e; \
+ if (ediff > 0) \
+ { \
+ R##_e = X##_e; \
+ if (Y##_e == 0) \
+ { \
+ /* Y is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc (Y)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto add_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_ADD_##wc (R, X, Y); \
+ goto add3; \
+ } \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto add_done; \
+ } \
+ goto add1; \
+ } \
+ } \
+ else if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* X is NaN or Inf, Y is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto add_done; \
+ } \
+ \
+ /* Insert implicit MSB of Y. */ \
+ _FP_FRAC_HIGH_##fs (Y) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ add1: \
+ /* Shift the mantissa of Y to the right EDIFF steps; \
+ remember to account later for the implicit MSB of X. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc (Y, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc (Y)) \
+ _FP_FRAC_SET_##wc (Y, _FP_MINFRAC_##wc); \
+ _FP_FRAC_ADD_##wc (R, X, Y); \
+ } \
+ else if (ediff < 0) \
+ { \
+ ediff = -ediff; \
+ R##_e = Y##_e; \
+ if (X##_e == 0) \
+ { \
+ /* X is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto add_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_ADD_##wc (R, Y, X); \
+ goto add3; \
+ } \
+ if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto add_done; \
+ } \
+ goto add2; \
+ } \
+ } \
+ else if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* Y is NaN or Inf, X is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto add_done; \
+ } \
+ \
+ /* Insert implicit MSB of X. */ \
+ _FP_FRAC_HIGH_##fs (X) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ add2: \
+ /* Shift the mantissa of X to the right EDIFF steps; \
+ remember to account later for the implicit MSB of Y. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc (X, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc (X)) \
+ _FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \
+ _FP_FRAC_ADD_##wc (R, Y, X); \
+ } \
+ else \
+ { \
+ /* ediff == 0. */ \
+ if (!_FP_EXP_NORMAL (fs, wc, X)) \
+ { \
+ if (X##_e == 0) \
+ { \
+ /* X and Y are zero or denormalized. */ \
+ R##_e = 0; \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ { \
+ if (!_FP_FRAC_ZEROP_##wc (Y)) \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto add_done; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc (Y)) \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto add_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_ADD_##wc (R, X, Y); \
+ if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* Normalized result. */ \
+ _FP_FRAC_HIGH_##fs (R) \
+ &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
+ R##_e = 1; \
+ } \
+ goto add_done; \
+ } \
+ } \
+ else \
+ { \
+ /* X and Y are NaN or Inf. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ R##_e = _FP_EXPMAX_##fs; \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ else if (_FP_FRAC_ZEROP_##wc (Y)) \
+ _FP_FRAC_COPY_##wc (R, X); \
+ else \
+ _FP_CHOOSENAN_SEMIRAW (fs, wc, R, X, Y, OP); \
+ goto add_done; \
+ } \
+ } \
+ /* The exponents of X and Y, both normal, are equal. The \
+ implicit MSBs will always add to increase the \
+ exponent. */ \
+ _FP_FRAC_ADD_##wc (R, X, Y); \
+ R##_e = X##_e + 1; \
+ _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
+ if (R##_e == _FP_EXPMAX_##fs) \
+ /* Overflow to infinity (depending on rounding mode). */ \
+ _FP_OVERFLOW_SEMIRAW (fs, wc, R); \
+ goto add_done; \
+ } \
+ add3: \
+ if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* Overflow. */ \
+ _FP_FRAC_HIGH_##fs (R) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
+ R##_e++; \
+ _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
+ if (R##_e == _FP_EXPMAX_##fs) \
+ /* Overflow to infinity (depending on rounding mode). */ \
+ _FP_OVERFLOW_SEMIRAW (fs, wc, R); \
+ } \
+ add_done: ; \
+ } \
+ else \
+ { \
+ /* Subtraction. */ \
+ int ediff = X##_e - Y##_e; \
+ if (ediff > 0) \
+ { \
+ R##_e = X##_e; \
+ R##_s = X##_s; \
+ if (Y##_e == 0) \
+ { \
+ /* Y is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc (Y)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto sub_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_SUB_##wc (R, X, Y); \
+ goto sub3; \
+ } \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto sub_done; \
+ } \
+ goto sub1; \
+ } \
+ } \
+ else if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* X is NaN or Inf, Y is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ goto sub_done; \
+ } \
+ \
+ /* Insert implicit MSB of Y. */ \
+ _FP_FRAC_HIGH_##fs (Y) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ sub1: \
+ /* Shift the mantissa of Y to the right EDIFF steps; \
+ remember to account later for the implicit MSB of X. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc (Y, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc (Y)) \
+ _FP_FRAC_SET_##wc (Y, _FP_MINFRAC_##wc); \
+ _FP_FRAC_SUB_##wc (R, X, Y); \
+ } \
+ else if (ediff < 0) \
+ { \
+ ediff = -ediff; \
+ R##_e = Y##_e; \
+ R##_s = Y##_s; \
+ if (X##_e == 0) \
+ { \
+ /* X is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto sub_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_SUB_##wc (R, Y, X); \
+ goto sub3; \
+ } \
+ if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto sub_done; \
+ } \
+ goto sub2; \
+ } \
+ } \
+ else if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* Y is NaN or Inf, X is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ goto sub_done; \
+ } \
+ \
+ /* Insert implicit MSB of X. */ \
+ _FP_FRAC_HIGH_##fs (X) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ sub2: \
+ /* Shift the mantissa of X to the right EDIFF steps; \
+ remember to account later for the implicit MSB of Y. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc (X, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc (X)) \
+ _FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \
+ _FP_FRAC_SUB_##wc (R, Y, X); \
+ } \
+ else \
+ { \
+ /* ediff == 0. */ \
+ if (!_FP_EXP_NORMAL (fs, wc, X)) \
+ { \
+ if (X##_e == 0) \
+ { \
+ /* X and Y are zero or denormalized. */ \
+ R##_e = 0; \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ { \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ if (_FP_FRAC_ZEROP_##wc (Y)) \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ R##_s = Y##_s; \
+ } \
+ goto sub_done; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc (Y)) \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_COPY_##wc (R, X); \
+ R##_s = X##_s; \
+ goto sub_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_SUB_##wc (R, X, Y); \
+ R##_s = X##_s; \
+ if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* |X| < |Y|, negate result. */ \
+ _FP_FRAC_SUB_##wc (R, Y, X); \
+ R##_s = Y##_s; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc (R)) \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ goto sub_done; \
+ } \
+ } \
+ else \
+ { \
+ /* X and Y are NaN or Inf, of opposite signs. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \
+ _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \
+ R##_e = _FP_EXPMAX_##fs; \
+ if (_FP_FRAC_ZEROP_##wc (X)) \
+ { \
+ if (_FP_FRAC_ZEROP_##wc (Y)) \
+ { \
+ /* Inf - Inf. */ \
+ R##_s = _FP_NANSIGN_##fs; \
+ _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
+ _FP_FRAC_SLL_##wc (R, _FP_WORKBITS); \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ } \
+ else \
+ { \
+ /* Inf - NaN. */ \
+ R##_s = Y##_s; \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ } \
+ } \
+ else \
+ { \
+ if (_FP_FRAC_ZEROP_##wc (Y)) \
+ { \
+ /* NaN - Inf. */ \
+ R##_s = X##_s; \
+ _FP_FRAC_COPY_##wc (R, X); \
+ } \
+ else \
+ { \
+ /* NaN - NaN. */ \
+ _FP_CHOOSENAN_SEMIRAW (fs, wc, R, X, Y, OP); \
+ } \
+ } \
+ goto sub_done; \
+ } \
+ } \
+ /* The exponents of X and Y, both normal, are equal. The \
+ implicit MSBs cancel. */ \
+ R##_e = X##_e; \
+ _FP_FRAC_SUB_##wc (R, X, Y); \
+ R##_s = X##_s; \
+ if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* |X| < |Y|, negate result. */ \
+ _FP_FRAC_SUB_##wc (R, Y, X); \
+ R##_s = Y##_s; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc (R)) \
+ { \
+ R##_e = 0; \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ goto sub_done; \
+ } \
+ goto norm; \
+ } \
+ sub3: \
+ if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ int diff; \
+ /* Carry into most significant bit of larger one of X and Y, \
+ canceling it; renormalize. */ \
+ _FP_FRAC_HIGH_##fs (R) &= _FP_IMPLBIT_SH_##fs - 1; \
+ norm: \
+ _FP_FRAC_CLZ_##wc (diff, R); \
+ diff -= _FP_WFRACXBITS_##fs; \
+ _FP_FRAC_SLL_##wc (R, diff); \
+ if (R##_e <= diff) \
+ { \
+ /* R is denormalized. */ \
+ diff = diff - R##_e + 1; \
+ _FP_FRAC_SRS_##wc (R, diff, _FP_WFRACBITS_##fs); \
+ R##_e = 0; \
+ } \
+ else \
+ { \
+ R##_e -= diff; \
+ _FP_FRAC_HIGH_##fs (R) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
+ } \
+ } \
+ sub_done: ; \
+ } \
+ } \
+ while (0)
-#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')
-#define _FP_SUB(fs, wc, R, X, Y) \
- do { \
- if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) Y##_s ^= 1; \
- _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \
- } while (0)
+#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL (fs, wc, R, X, Y, '+')
+#define _FP_SUB(fs, wc, R, X, Y) \
+ do \
+ { \
+ if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \
+ Y##_s ^= 1; \
+ _FP_ADD_INTERNAL (fs, wc, R, X, Y, '-'); \
+ } \
+ while (0)
/*
- * Main negation routine. FIXME -- when we care about setting exception
- * bits reliably, this will not do. We should examine all of the fp classes.
+ * Main negation routine. The input value is raw.
*/
-#define _FP_NEG(fs, wc, R, X) \
- do { \
- _FP_FRAC_COPY_##wc(R, X); \
- R##_c = X##_c; \
- R##_e = X##_e; \
- R##_s = 1 ^ X##_s; \
- } while (0)
+#define _FP_NEG(fs, wc, R, X) \
+ do \
+ { \
+ _FP_FRAC_COPY_##wc (R, X); \
+ R##_e = X##_e; \
+ R##_s = 1 ^ X##_s; \
+ } \
+ while (0)
/*
* Main multiplication routine. The input values should be cooked.
*/
-#define _FP_MUL(fs, wc, R, X, Y) \
-do { \
- R##_s = X##_s ^ Y##_s; \
- switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
- { \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
- R##_c = FP_CLS_NORMAL; \
- R##_e = X##_e + Y##_e + 1; \
- \
- _FP_MUL_MEAT_##fs(R,X,Y); \
- \
- if (_FP_FRAC_OVERP_##wc(fs, R)) \
- _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
- else \
- R##_e--; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
- _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
- R##_s = X##_s; \
- \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
- _FP_FRAC_COPY_##wc(R, X); \
- R##_c = X##_c; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
- R##_s = Y##_s; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
- _FP_FRAC_COPY_##wc(R, Y); \
- R##_c = Y##_c; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
- R##_s = _FP_NANSIGN_##fs; \
- R##_c = FP_CLS_NAN; \
- _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- break; \
- \
- default: \
- abort(); \
- } \
-} while (0)
+#define _FP_MUL(fs, wc, R, X, Y) \
+ do \
+ { \
+ R##_s = X##_s ^ Y##_s; \
+ R##_e = X##_e + Y##_e + 1; \
+ switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \
+ { \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \
+ R##_c = FP_CLS_NORMAL; \
+ \
+ _FP_MUL_MEAT_##fs (R, X, Y); \
+ \
+ if (_FP_FRAC_OVERP_##wc (fs, R)) \
+ _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
+ else \
+ R##_e--; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
+ _FP_CHOOSENAN (fs, wc, R, X, Y, '*'); \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
+ R##_s = X##_s; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
+ _FP_FRAC_COPY_##wc (R, X); \
+ R##_c = X##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
+ R##_s = Y##_s; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ R##_c = Y##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
+ R##_s = _FP_NANSIGN_##fs; \
+ R##_c = FP_CLS_NAN; \
+ _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ break; \
+ \
+ default: \
+ abort (); \
+ } \
+ } \
+ while (0)
+
+
+/* Fused multiply-add. The input values should be cooked. */
+
+#define _FP_FMA(fs, wc, dwc, R, X, Y, Z) \
+ do \
+ { \
+ FP_DECL_##fs (T); \
+ T##_s = X##_s ^ Y##_s; \
+ T##_e = X##_e + Y##_e + 1; \
+ switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \
+ { \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \
+ switch (Z##_c) \
+ { \
+ case FP_CLS_INF: \
+ case FP_CLS_NAN: \
+ R##_s = Z##_s; \
+ _FP_FRAC_COPY_##wc (R, Z); \
+ R##_c = Z##_c; \
+ break; \
+ \
+ case FP_CLS_ZERO: \
+ R##_c = FP_CLS_NORMAL; \
+ R##_s = T##_s; \
+ R##_e = T##_e; \
+ \
+ _FP_MUL_MEAT_##fs (R, X, Y); \
+ \
+ if (_FP_FRAC_OVERP_##wc (fs, R)) \
+ _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \
+ else \
+ R##_e--; \
+ break; \
+ \
+ case FP_CLS_NORMAL:; \
+ _FP_FRAC_DECL_##dwc (TD); \
+ _FP_FRAC_DECL_##dwc (ZD); \
+ _FP_FRAC_DECL_##dwc (RD); \
+ _FP_MUL_MEAT_DW_##fs (TD, X, Y); \
+ R##_e = T##_e; \
+ int tsh = _FP_FRAC_HIGHBIT_DW_##dwc (fs, TD) == 0; \
+ T##_e -= tsh; \
+ int ediff = T##_e - Z##_e; \
+ if (ediff >= 0) \
+ { \
+ int shift = _FP_WFRACBITS_##fs - tsh - ediff; \
+ if (shift <= -_FP_WFRACBITS_##fs) \
+ _FP_FRAC_SET_##dwc (ZD, _FP_MINFRAC_##dwc); \
+ else \
+ { \
+ _FP_FRAC_COPY_##dwc##_##wc (ZD, Z); \
+ if (shift < 0) \
+ _FP_FRAC_SRS_##dwc (ZD, -shift, \
+ _FP_WFRACBITS_DW_##fs); \
+ else if (shift > 0) \
+ _FP_FRAC_SLL_##dwc (ZD, shift); \
+ } \
+ R##_s = T##_s; \
+ if (T##_s == Z##_s) \
+ _FP_FRAC_ADD_##dwc (RD, TD, ZD); \
+ else \
+ { \
+ _FP_FRAC_SUB_##dwc (RD, TD, ZD); \
+ if (_FP_FRAC_NEGP_##dwc (RD)) \
+ { \
+ R##_s = Z##_s; \
+ _FP_FRAC_SUB_##dwc (RD, ZD, TD); \
+ } \
+ } \
+ } \
+ else \
+ { \
+ R##_e = Z##_e; \
+ R##_s = Z##_s; \
+ _FP_FRAC_COPY_##dwc##_##wc (ZD, Z); \
+ _FP_FRAC_SLL_##dwc (ZD, _FP_WFRACBITS_##fs); \
+ int shift = -ediff - tsh; \
+ if (shift >= _FP_WFRACBITS_DW_##fs) \
+ _FP_FRAC_SET_##dwc (TD, _FP_MINFRAC_##dwc); \
+ else if (shift > 0) \
+ _FP_FRAC_SRS_##dwc (TD, shift, \
+ _FP_WFRACBITS_DW_##fs); \
+ if (Z##_s == T##_s) \
+ _FP_FRAC_ADD_##dwc (RD, ZD, TD); \
+ else \
+ _FP_FRAC_SUB_##dwc (RD, ZD, TD); \
+ } \
+ if (_FP_FRAC_ZEROP_##dwc (RD)) \
+ { \
+ if (T##_s == Z##_s) \
+ R##_s = Z##_s; \
+ else \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ _FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \
+ R##_c = FP_CLS_ZERO; \
+ } \
+ else \
+ { \
+ int rlz; \
+ _FP_FRAC_CLZ_##dwc (rlz, RD); \
+ rlz -= _FP_WFRACXBITS_DW_##fs; \
+ R##_e -= rlz; \
+ int shift = _FP_WFRACBITS_##fs - rlz; \
+ if (shift > 0) \
+ _FP_FRAC_SRS_##dwc (RD, shift, \
+ _FP_WFRACBITS_DW_##fs); \
+ else if (shift < 0) \
+ _FP_FRAC_SLL_##dwc (RD, -shift); \
+ _FP_FRAC_COPY_##wc##_##dwc (R, RD); \
+ R##_c = FP_CLS_NORMAL; \
+ } \
+ break; \
+ } \
+ goto done_fma; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
+ _FP_CHOOSENAN (fs, wc, T, X, Y, '*'); \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
+ T##_s = X##_s; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
+ _FP_FRAC_COPY_##wc (T, X); \
+ T##_c = X##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
+ T##_s = Y##_s; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \
+ _FP_FRAC_COPY_##wc (T, Y); \
+ T##_c = Y##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
+ T##_s = _FP_NANSIGN_##fs; \
+ T##_c = FP_CLS_NAN; \
+ _FP_FRAC_SET_##wc (T, _FP_NANFRAC_##fs); \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ break; \
+ \
+ default: \
+ abort (); \
+ } \
+ \
+ /* T = X * Y is zero, infinity or NaN. */ \
+ switch (_FP_CLS_COMBINE (T##_c, Z##_c)) \
+ { \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
+ _FP_CHOOSENAN (fs, wc, R, T, Z, '+'); \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
+ R##_s = T##_s; \
+ _FP_FRAC_COPY_##wc (R, T); \
+ R##_c = T##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
+ R##_s = Z##_s; \
+ _FP_FRAC_COPY_##wc (R, Z); \
+ R##_c = Z##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
+ if (T##_s == Z##_s) \
+ { \
+ R##_s = Z##_s; \
+ _FP_FRAC_COPY_##wc (R, Z); \
+ R##_c = Z##_c; \
+ } \
+ else \
+ { \
+ R##_s = _FP_NANSIGN_##fs; \
+ R##_c = FP_CLS_NAN; \
+ _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ } \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
+ if (T##_s == Z##_s) \
+ R##_s = Z##_s; \
+ else \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ _FP_FRAC_COPY_##wc (R, Z); \
+ R##_c = Z##_c; \
+ break; \
+ \
+ default: \
+ abort (); \
+ } \
+ done_fma: ; \
+ } \
+ while (0)
/*
* Main division routine. The input values should be cooked.
*/
-#define _FP_DIV(fs, wc, R, X, Y) \
-do { \
- R##_s = X##_s ^ Y##_s; \
- switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
- { \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
- R##_c = FP_CLS_NORMAL; \
- R##_e = X##_e - Y##_e; \
- \
- _FP_DIV_MEAT_##fs(R,X,Y); \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
- _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
- R##_s = X##_s; \
- _FP_FRAC_COPY_##wc(R, X); \
- R##_c = X##_c; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
- R##_s = Y##_s; \
- _FP_FRAC_COPY_##wc(R, Y); \
- R##_c = Y##_c; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
- R##_c = FP_CLS_ZERO; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
- FP_SET_EXCEPTION(FP_EX_DIVZERO); \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
- R##_c = FP_CLS_INF; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
- R##_s = _FP_NANSIGN_##fs; \
- R##_c = FP_CLS_NAN; \
- _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- break; \
- \
- default: \
- abort(); \
- } \
-} while (0)
+#define _FP_DIV(fs, wc, R, X, Y) \
+ do \
+ { \
+ R##_s = X##_s ^ Y##_s; \
+ R##_e = X##_e - Y##_e; \
+ switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \
+ { \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \
+ R##_c = FP_CLS_NORMAL; \
+ \
+ _FP_DIV_MEAT_##fs (R, X, Y); \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \
+ _FP_CHOOSENAN (fs, wc, R, X, Y, '/'); \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \
+ R##_s = X##_s; \
+ _FP_FRAC_COPY_##wc (R, X); \
+ R##_c = X##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \
+ R##_s = Y##_s; \
+ _FP_FRAC_COPY_##wc (R, Y); \
+ R##_c = Y##_c; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \
+ R##_c = FP_CLS_ZERO; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \
+ FP_SET_EXCEPTION (FP_EX_DIVZERO); \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \
+ R##_c = FP_CLS_INF; \
+ break; \
+ \
+ case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \
+ case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \
+ R##_s = _FP_NANSIGN_##fs; \
+ R##_c = FP_CLS_NAN; \
+ _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ break; \
+ \
+ default: \
+ abort (); \
+ } \
+ } \
+ while (0)
/*
*/
#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; /* sNAN */ \
- 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)) \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- else if (inexact) \
- FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ if (rsigned && X##_s && X##_e == _FP_EXPBIAS_##fs + rsize - 1) \
+ { \
+ /* Possibly converting to most negative integer; check the \
+ mantissa. */ \
+ int inexact = 0; \
+ (void) ((_FP_FRACBITS_##fs > rsize) \
+ ? ({ \
+ _FP_FRAC_SRST_##wc (X, inexact, \
+ _FP_FRACBITS_##fs - rsize, \
+ _FP_FRACBITS_##fs); \
+ 0; \
+ }) \
+ : 0); \
+ if (!_FP_FRAC_ZEROP_##wc (X)) \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ else if (inexact) \
+ FP_SET_EXCEPTION (FP_EX_INEXACT); \
+ } \
+ else \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
} \
else \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
+ { \
+ _FP_FRAC_HIGH_RAW_##fs (X) |= _FP_IMPLBIT_##fs; \
+ if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \
+ { \
+ _FP_FRAC_ASSEMBLE_##wc (r, X, rsize); \
+ r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \
+ } \
+ else \
+ { \
+ int inexact; \
+ _FP_FRAC_SRST_##wc (X, inexact, \
+ (_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \
+ - X##_e), \
+ _FP_FRACBITS_##fs); \
+ if (inexact) \
+ FP_SET_EXCEPTION (FP_EX_INEXACT); \
+ _FP_FRAC_ASSEMBLE_##wc (r, X, rsize); \
+ } \
+ if (rsigned && X##_s) \
+ r = -r; \
+ } \
} \
- else \
+ while (0)
+
+/* Convert integer to fp. Output is raw. RTYPE is unsigned even if
+ input is signed. */
+#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
+ do \
{ \
- _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \
- if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \
+ if (r) \
{ \
- _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
- r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \
+ rtype ur_; \
+ \
+ if ((X##_s = (r < 0))) \
+ r = -(rtype) r; \
+ \
+ ur_ = (rtype) r; \
+ (void) ((rsize <= _FP_W_TYPE_SIZE) \
+ ? ({ \
+ int lz_; \
+ __FP_CLZ (lz_, (_FP_W_TYPE) ur_); \
+ X##_e = _FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 - lz_; \
+ }) \
+ : ((rsize <= 2 * _FP_W_TYPE_SIZE) \
+ ? ({ \
+ int lz_; \
+ __FP_CLZ_2 (lz_, \
+ (_FP_W_TYPE) (ur_ >> _FP_W_TYPE_SIZE), \
+ (_FP_W_TYPE) ur_); \
+ X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \
+ - lz_); \
+ }) \
+ : (abort (), 0))); \
+ \
+ if (rsize - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \
+ && X##_e >= _FP_EXPMAX_##fs) \
+ { \
+ /* Exponent too big; overflow to infinity. (May also \
+ happen after rounding below.) */ \
+ _FP_OVERFLOW_SEMIRAW (fs, wc, X); \
+ goto pack_semiraw; \
+ } \
+ \
+ if (rsize <= _FP_FRACBITS_##fs \
+ || X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \
+ { \
+ /* Exactly representable; shift left. */ \
+ _FP_FRAC_DISASSEMBLE_##wc (X, ur_, rsize); \
+ if (_FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1 - X##_e > 0) \
+ _FP_FRAC_SLL_##wc (X, (_FP_EXPBIAS_##fs \
+ + _FP_FRACBITS_##fs - 1 - X##_e)); \
+ } \
+ else \
+ { \
+ /* More bits in integer than in floating type; need to \
+ round. */ \
+ if (_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 < X##_e) \
+ ur_ = ((ur_ >> (X##_e - _FP_EXPBIAS_##fs \
+ - _FP_WFRACBITS_##fs + 1)) \
+ | ((ur_ << (rsize - (X##_e - _FP_EXPBIAS_##fs \
+ - _FP_WFRACBITS_##fs + 1))) \
+ != 0)); \
+ _FP_FRAC_DISASSEMBLE_##wc (X, ur_, rsize); \
+ if ((_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 - X##_e) > 0) \
+ _FP_FRAC_SLL_##wc (X, (_FP_EXPBIAS_##fs \
+ + _FP_WFRACBITS_##fs - 1 - X##_e)); \
+ _FP_FRAC_HIGH_##fs (X) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \
+ pack_semiraw: \
+ _FP_PACK_SEMIRAW (fs, wc, X); \
+ } \
} \
else \
{ \
- int inexact; \
- _FP_FRAC_SRST_##wc(X, inexact, \
- (_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \
- - X##_e), \
- _FP_FRACBITS_##fs); \
- if (inexact) \
- FP_SET_EXCEPTION(FP_EX_INEXACT); \
- _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
+ X##_s = 0; \
+ X##_e = 0; \
+ _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \
} \
- if (rsigned && X##_s) \
- r = -r; \
} \
-} while (0)
-
-/* Convert integer to fp. Output is raw. RTYPE is unsigned even if
- input is signed. */
-#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
- do { \
- if (r) \
- { \
- rtype ur_; \
- \
- if ((X##_s = (r < 0))) \
- r = -(rtype)r; \
- \
- ur_ = (rtype) r; \
- (void)((rsize <= _FP_W_TYPE_SIZE) \
- ? ({ \
- int lz_; \
- __FP_CLZ(lz_, (_FP_W_TYPE)ur_); \
- X##_e = _FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 - lz_; \
- }) \
- : ((rsize <= 2 * _FP_W_TYPE_SIZE) \
- ? ({ \
- int lz_; \
- __FP_CLZ_2(lz_, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \
- (_FP_W_TYPE)ur_); \
- X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \
- - lz_); \
- }) \
- : (abort(), 0))); \
- \
- if (rsize - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \
- && X##_e >= _FP_EXPMAX_##fs) \
- { \
- /* Exponent too big; overflow to infinity. (May also \
- happen after rounding below.) */ \
- _FP_OVERFLOW_SEMIRAW(fs, wc, X); \
- goto pack_semiraw; \
- } \
- \
- if (rsize <= _FP_FRACBITS_##fs \
- || X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \
- { \
- /* Exactly representable; shift left. */ \
- _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
- _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_HIGH_RAW_##sfs(S) & _FP_QNANBIT_##sfs)) \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \
- - _FP_FRACBITS_##sfs)); \
- } \
- } \
- } \
-} while (0)
+#define FP_EXTEND(dfs, sfs, dwc, swc, D, S) \
+ do \
+ { \
+ if (_FP_FRACBITS_##dfs < _FP_FRACBITS_##sfs \
+ || (_FP_EXPMAX_##dfs - _FP_EXPBIAS_##dfs \
+ < _FP_EXPMAX_##sfs - _FP_EXPBIAS_##sfs) \
+ || (_FP_EXPBIAS_##dfs < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1 \
+ && _FP_EXPBIAS_##dfs != _FP_EXPBIAS_##sfs)) \
+ abort (); \
+ D##_s = S##_s; \
+ _FP_FRAC_COPY_##dwc##_##swc (D, S); \
+ if (_FP_EXP_NORMAL (sfs, swc, S)) \
+ { \
+ D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
+ _FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs - _FP_FRACBITS_##sfs)); \
+ } \
+ else \
+ { \
+ if (S##_e == 0) \
+ { \
+ if (_FP_FRAC_ZEROP_##swc (S)) \
+ D##_e = 0; \
+ else if (_FP_EXPBIAS_##dfs \
+ < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \
+ { \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs \
+ - _FP_FRACBITS_##sfs)); \
+ D##_e = 0; \
+ } \
+ else \
+ { \
+ int _lz; \
+ FP_SET_EXCEPTION (FP_EX_DENORM); \
+ _FP_FRAC_CLZ_##swc (_lz, S); \
+ _FP_FRAC_SLL_##dwc (D, \
+ _lz + _FP_FRACBITS_##dfs \
+ - _FP_FRACTBITS_##sfs); \
+ D##_e = (_FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs + 1 \
+ + _FP_FRACXBITS_##sfs - _lz); \
+ } \
+ } \
+ else \
+ { \
+ D##_e = _FP_EXPMAX_##dfs; \
+ if (!_FP_FRAC_ZEROP_##swc (S)) \
+ { \
+ if (_FP_FRAC_SNANP (sfs, S)) \
+ FP_SET_EXCEPTION (FP_EX_INVALID); \
+ _FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs \
+ - _FP_FRACBITS_##sfs)); \
+ _FP_SETQNAN (dfs, dwc, D); \
+ } \
+ } \
+ } \
+ } \
+ while (0)
/* Truncate from a wider floating-point format to a narrower one.
Input and output are semi-raw. */
-#define FP_TRUNC(dfs,sfs,dwc,swc,D,S) \
-do { \
- if (_FP_FRACBITS_##sfs < _FP_FRACBITS_##dfs \
- || (_FP_EXPBIAS_##sfs < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1 \
- && _FP_EXPBIAS_##sfs != _FP_EXPBIAS_##dfs)) \
- abort(); \
- D##_s = S##_s; \
- if (_FP_EXP_NORMAL(sfs, swc, S)) \
- { \
- D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
- if (D##_e >= _FP_EXPMAX_##dfs) \
- _FP_OVERFLOW_SEMIRAW(dfs, dwc, D); \
- else \
- { \
- if (D##_e <= 0) \
- { \
- if (D##_e < 1 - _FP_FRACBITS_##dfs) \
- { \
- _FP_FRAC_SET_##swc(S, _FP_ZEROFRAC_##swc); \
- _FP_FRAC_LOW_##swc(S) |= 1; \
- } \
- else \
- { \
- _FP_FRAC_HIGH_##sfs(S) |= _FP_IMPLBIT_SH_##sfs; \
- _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
- - _FP_WFRACBITS_##dfs + 1 - D##_e), \
- _FP_WFRACBITS_##sfs); \
- } \
- D##_e = 0; \
- } \
- else \
- _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
- - _FP_WFRACBITS_##dfs), \
- _FP_WFRACBITS_##sfs); \
- _FP_FRAC_COPY_##dwc##_##swc(D, S); \
- } \
- } \
- else \
- { \
- if (S##_e == 0) \
- { \
- D##_e = 0; \
- if (_FP_FRAC_ZEROP_##swc(S)) \
- _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
- else \
- { \
- FP_SET_EXCEPTION(FP_EX_DENORM); \
- if (_FP_EXPBIAS_##sfs \
- < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \
- { \
- _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
- - _FP_WFRACBITS_##dfs), \
- _FP_WFRACBITS_##sfs); \
- _FP_FRAC_COPY_##dwc##_##swc(D, S); \
- } \
- else \
- { \
- _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
- _FP_FRAC_LOW_##dwc(D) |= 1; \
- } \
- } \
- } \
- else \
- { \
- D##_e = _FP_EXPMAX_##dfs; \
- if (_FP_FRAC_ZEROP_##swc(S)) \
- _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
- else \
- { \
- _FP_CHECK_SIGNAN_SEMIRAW(sfs, swc, S); \
- _FP_FRAC_SRL_##swc(S, (_FP_WFRACBITS_##sfs \
- - _FP_WFRACBITS_##dfs)); \
- _FP_FRAC_COPY_##dwc##_##swc(D, S); \
- /* Semi-raw NaN must have all workbits cleared. */ \
- _FP_FRAC_LOW_##dwc(D) \
- &= ~(_FP_W_TYPE) ((1 << _FP_WORKBITS) - 1); \
- _FP_FRAC_HIGH_##dfs(D) |= _FP_QNANBIT_SH_##dfs; \
- } \
- } \
- } \
-} 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)
projects / thirdparty / glibc.git / blobdiff