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glibc/sysdeps/ieee754/ldbl-128ibm
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Joseph Myers ffe9aaf2b9 Implement proper fmal for ldbl-128ibm (bug 13304). 
ldbl-128ibm had an implementation of fmal that just did (x * y) + z in
most cases, with no attempt at actually being a fused operation.

This patch replaces it with a genuine fused operation.  It is not
necessarily correctly rounding, but should produce a result at least
as accurate as the long double arithmetic operations in libgcc, which
I think is all that can reasonably be expected for such a non-IEEE
format where arithmetic is approximate rather than rounded according
to any particular rule for determining the exact result.  Like the
libgcc arithmetic, it may produce spurious overflow and underflow
results, and it falls back to the libgcc multiplication in the case of
(finite, finite, zero).

This concludes the fixes for bug 13304; any subsequently found fma
issues should go in separate Bugzilla bugs.  Various other pieces of
bug 13304 were fixed in past releases over the past several years.

Tested for powerpc.

	[BZ #13304]
	* sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Include <fenv.h>,
	<float.h>, <math_private.h> and <stdlib.h>.
	(add_split): New function.
	(mul_split): Likewise.
	(ext_val): New typedef.
	(store_ext_val): New function.
	(mul_ext_val): New function.
	(compare): New function.
	(add_split_ext): New function.
	(__fmal): After checking for Inf, NaN and zero, compute result as
	an exact sum of scaled double values in round-to-nearest before
	adding those up and adjusting for other rounding modes.
	* math/auto-libm-test-in: Remove xfail-rounding:ldbl-128ibm from
	tests of fma.
	* math/auto-libm-test-out: Regenerated.
2016-05-19 20:10:56 +00:00
..
e_acoshl.c Fix ldbl-128ibm acoshl inaccuracy (bug 18019). 2015-02-25 00:01:15 +00:00
e_acosl.c This patch renames all uses of __isinf*, __isnan*, __finite* and __signbit* to use standard C99 macros. This has no effect on generated code. 2015-06-03 15:41:36 +01:00
e_asinl.c Refactor code forcing underflow exceptions. 2015-09-23 22:42:30 +00:00
e_atan2l.c PowerPC floating point little-endian [3 of 15] 2013-10-04 10:32:36 +09:30
e_atanhl.c Refactor code forcing underflow exceptions. 2015-09-23 22:42:30 +00:00
e_coshl.c Fix cosh spurious underflows from expm1 (bug 16354), inaccurate results near 0 (bug 17061). 2014-06-23 20:20:10 +00:00
e_exp10l.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
e_expl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
e_fmodl.c Fix ldbl-128ibm fmodl handling of equal arguments with low part zero (bug 19602). 2016-02-18 22:54:07 +00:00
e_gammal_r.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
e_hypotl.c Fix hypot missing underflows (bug 18803). 2015-09-24 23:43:57 +00:00
e_ilogbl.c Fix ldbl-128ibm ilogbl near powers of 2 (bug 18029). 2015-02-26 12:57:21 +00:00
e_j0l.c 2006-01-27 Dwayne Grant McConnell <decimal@us.ibm.com> 2006-01-28 00:15:15 +00:00
e_j1l.c 2006-01-27 Dwayne Grant McConnell <decimal@us.ibm.com> 2006-01-28 00:15:15 +00:00
e_jnl.c Fix j1, jn missing errno setting on underflow (bug 18611). 2015-10-23 21:37:33 +00:00
e_lgammal_r.c 2006-01-27 Dwayne Grant McConnell <decimal@us.ibm.com> 2006-01-28 00:15:15 +00:00
e_log2l.c Convert 231 sysdeps function definitions to prototype style. 2015-10-19 12:04:33 +00:00
e_log10l.c Fix log10 (1) in round-downward mode (bug 16977). 2014-05-23 12:07:50 +00:00
e_logl.c Fix ldbl-128ibm logl inaccuracy near 1 (bug 19351). 2015-12-09 23:51:11 +00:00
e_powl.c Fix ldbl-128ibm powl overflow handling (bug 19674). 2016-02-19 01:07:40 +00:00
e_rem_pio2l.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
e_remainderl.c Fix ldbl-128ibm remainderl equality test for zero low part (bug 19677). 2016-03-08 00:27:21 +00:00
e_sinhl.c Fix ldbl-128ibm sinhl spurious overflows (bug 19350). 2015-12-09 22:37:08 +00:00
e_sqrtl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
gamma_productl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
ieee754.h Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
k_cosl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
k_sincosl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
k_sinl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
k_tanl.c Remove GCC version conditionals on -Wmaybe-uninitialized pragmas. 2015-10-27 23:42:20 +00:00
ldbl2mpn.c Increase internal precision of ldbl-128ibm decimal printf [BZ #19853] 2016-03-31 12:14:33 -05:00
lgamma_negl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
lgamma_productl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
Makefile Fix ldbl-128ibm remainderl equality test for zero low part (bug 19677). 2016-03-08 00:27:21 +00:00
math_ldbl.h Fix ldbl-128ibm floorl for non-default rounding modes (bug 17899). 2016-02-18 21:31:10 +00:00
mpn2ldbl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
printf_fphex.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_asinhl.c Refactor code forcing underflow exceptions. 2015-09-23 22:42:30 +00:00
s_atanl.c Refactor code forcing underflow exceptions. 2015-09-23 22:42:30 +00:00
s_cbrtl.c 2006-01-27 Dwayne Grant McConnell <decimal@us.ibm.com> 2006-01-28 00:15:15 +00:00
s_ceill.c Fix ldbl-128ibm ceill for non-default rounding modes (bug 19592). 2016-02-18 21:40:39 +00:00
s_copysignl.c Remove IS_IN_libm 2014-11-24 11:41:47 +05:30
s_cosl.c PowerPC floating point little-endian [2 of 15] 2013-10-04 10:32:19 +09:30
s_erfl.c Remove unused variables 2016-01-27 09:30:16 +01:00
s_expm1l.c Clean up ldbl-128 / ldbl-128ibm expm1l dead code (bug 16415). 2015-09-16 16:42:46 +00:00
s_fabsl.c PowerPC floating point little-endian [2 of 15] 2013-10-04 10:32:19 +09:30
s_finitel.c Reduce number of constants in __finite* (bug 15384). 2015-09-17 16:47:14 +00:00
s_floorl.c Fix ldbl-128ibm floorl for non-default rounding modes (bug 17899). 2016-02-18 21:31:10 +00:00
s_fmal.c Implement proper fmal for ldbl-128ibm (bug 13304). 2016-05-19 20:10:56 +00:00
s_fpclassifyl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_frexpl.c FIx ldbl-128ibm frexpl for 32-bit systems (bug 16619, bug 16740). 2014-11-26 13:54:55 +00:00
s_isinfl.c Remove IS_IN_libm 2014-11-24 11:41:47 +05:30
s_isnanl.c Remove IS_IN_libm 2014-11-24 11:41:47 +05:30
s_issignalingl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_llrintl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_llroundl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_log1pl.c Remove unused variables 2016-01-27 09:30:16 +01:00
s_logbl.c Work around powerpc32 integer 0 converting to -0 (bug 887, bug 19049, bug 19050). 2015-10-05 17:46:50 +00:00
s_lrintl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_lroundl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_modfl.c Remove IS_IN_libm 2014-11-24 11:41:47 +05:30
s_nearbyintl.c Fix ldbl-128ibm nearbyintl in non-default rounding modes (bug 19790). 2016-03-09 00:30:59 +00:00
s_nextafterl.c Fix ldbl-128ibm nextafterl, nexttowardl sign of zero result (bug 19678). 2016-02-19 17:19:53 +00:00
s_nexttoward.c Make nextafter, nexttoward set errno (bug 6799). 2015-11-02 18:54:19 +00:00
s_nexttowardf.c Make nextafter, nexttoward set errno (bug 6799). 2015-11-02 18:54:19 +00:00
s_remquol.c Fix ldbl-128ibm remainderl, remquol equality tests (bug 19603). 2016-02-19 00:55:46 +00:00
s_rintl.c Fix ldbl-128ibm nearbyintl in non-default rounding modes (bug 19790). 2016-03-09 00:30:59 +00:00
s_roundl.c Fix ldbl-128ibm roundl for non-default rounding modes (bug 19594). 2016-02-18 22:24:32 +00:00
s_scalblnl.c [BZ #6803] Set errno for scalbln, scalbn 2014-06-20 07:48:20 +05:30
s_scalbnl.c Make scalbn set errno (bug 6803). 2015-09-16 21:11:00 +00:00
s_signbitl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_sincosl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
s_sinl.c PowerPC floating point little-endian [2 of 15] 2013-10-04 10:32:19 +09:30
s_tanhl.c Fix ldbl-128ibm tanhl inaccuracy for small arguments (bug 19349). 2015-12-09 21:20:18 +00:00
s_tanl.c PowerPC floating point little-endian [2 of 15] 2013-10-04 10:32:19 +09:30
s_truncl.c Fix ldbl-128ibm truncl for non-default rounding modes (bug 19593). 2016-02-18 21:52:07 +00:00
strtod_nan_ldouble.h Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
strtold_l.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
t_sincosl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
test-fmodl-ldbl-128ibm.c Fix ldbl-128ibm remainderl equality test for zero low part (bug 19677). 2016-03-08 00:27:21 +00:00
test-fmodrem-ldbl-128ibm.c Fix ldbl-128ibm remainderl equality test for zero low part (bug 19677). 2016-03-08 00:27:21 +00:00
test-remainderl-ldbl-128ibm.c Fix ldbl-128ibm remainderl equality test for zero low part (bug 19677). 2016-03-08 00:27:21 +00:00
test-remquol-ldbl-128ibm.c Fix ldbl-128ibm remainderl equality test for zero low part (bug 19677). 2016-03-08 00:27:21 +00:00
tst-strtold-ldbl-128ibm.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
w_expl.c Fix ldbl-128ibm expl overflow in non-default rounding modes (bug 19078). 2015-10-06 17:37:49 +00:00
w_log1pl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
w_scalblnl.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00
x2y2m1l.c Update copyright dates with scripts/update-copyrights. 2016-01-04 16:05:18 +00:00