As discussed in
<https://sourceware.org/ml/libc-alpha/2016-05/msg00577.html>, TS
18661-1 disallows ceil, floor, round and trunc functions from raising
the "inexact" exception, in accordance with general IEEE 754 semantics
for when that exception is raised. Fixing this for x87 floating point
is more complicated than for the other versions of these functions,
because they use the frndint instruction that raises "inexact" and
this can only be avoided by saving and restoring the whole
floating-point environment.
As I noted in
<https://sourceware.org/ml/libc-alpha/2016-06/msg00128.html>, I have
now implemented a GCC option -fno-fp-int-builtin-inexact for GCC 7,
such that GCC will inline these functions on x86, without caring about
"inexact", when the default -ffp-int-builtin-inexact is in effect.
This allows users to get optimized code depending on the options they
pass to the compiler, while making the out-of-line functions follow TS
18661-1 semantics and avoid "inexact".
This patch duly fixes the out-of-line trunc function implementations
to avoid "inexact", in the same way as the nearbyint implementations.
I do not know how the performance of implementations such as these
based on saving the environment and changing the rounding mode
temporarily compares to that of the C versions or SSE 4.1 versions (of
course, for 32-bit x86 SSE implementations still need to get the
return value in an x87 register); it's entirely possible other
implementations could be faster in some cases.
Tested for x86_64 and x86.
[BZ #15479]
* sysdeps/i386/fpu/s_trunc.S (__trunc): Save and restore
floating-point environment rather than just control word.
* sysdeps/i386/fpu/s_truncf.S (__truncf): Likewise.
* sysdeps/i386/fpu/s_truncl.S (__truncl): Save and restore
floating-point environment, with "invalid" exceptions merged in,
rather than just control word.
* sysdeps/x86_64/fpu/s_truncl.S (__truncl): Likewise.
* math/libm-test.inc (trunc_test_data): Do not allow spurious
"inexact" exceptions.
As discussed in
<https://sourceware.org/ml/libc-alpha/2016-05/msg00577.html>, TS
18661-1 disallows ceil, floor, round and trunc functions from raising
the "inexact" exception, in accordance with general IEEE 754 semantics
for when that exception is raised. Fixing this for x87 floating point
is more complicated than for the other versions of these functions,
because they use the frndint instruction that raises "inexact" and
this can only be avoided by saving and restoring the whole
floating-point environment.
As I noted in
<https://sourceware.org/ml/libc-alpha/2016-06/msg00128.html>, I have
now implemented a GCC option -fno-fp-int-builtin-inexact for GCC 7,
such that GCC will inline these functions on x86, without caring about
"inexact", when the default -ffp-int-builtin-inexact is in effect.
This allows users to get optimized code depending on the options they
pass to the compiler, while making the out-of-line functions follow TS
18661-1 semantics and avoid "inexact".
This patch duly fixes the out-of-line floor function implementations
to avoid "inexact", in the same way as the nearbyint implementations.
I do not know how the performance of implementations such as these
based on saving the environment and changing the rounding mode
temporarily compares to that of the C versions or SSE 4.1 versions (of
course, for 32-bit x86 SSE implementations still need to get the
return value in an x87 register); it's entirely possible other
implementations could be faster in some cases.
Tested for x86_64 and x86.
[BZ #15479]
* sysdeps/i386/fpu/s_floor.S (__floor): Save and restore
floating-point environment rather than just control word.
* sysdeps/i386/fpu/s_floorf.S (__floorf): Likewise.
* sysdeps/i386/fpu/s_floorl.S (__floorl): Save and restore
floating-point environment, with "invalid" exceptions merged in,
rather than just control word.
* sysdeps/x86_64/fpu/s_floorl.S (__floorl): Likewise.
* math/libm-test.inc (floor_test_data): Do not allow spurious
"inexact" exceptions.
As discussed in
<https://sourceware.org/ml/libc-alpha/2016-05/msg00577.html>, TS
18661-1 disallows ceil, floor, round and trunc functions from raising
the "inexact" exception, in accordance with general IEEE 754 semantics
for when that exception is raised. Fixing this for x87 floating point
is more complicated than for the other versions of these functions,
because they use the frndint instruction that raises "inexact" and
this can only be avoided by saving and restoring the whole
floating-point environment.
As I noted in
<https://sourceware.org/ml/libc-alpha/2016-06/msg00128.html>, I have
now implemented a GCC option -fno-fp-int-builtin-inexact for GCC 7,
such that GCC will inline these functions on x86, without caring about
"inexact", when the default -ffp-int-builtin-inexact is in effect.
This allows users to get optimized code depending on the options they
pass to the compiler, while making the out-of-line functions follow TS
18661-1 semantics and avoid "inexact".
This patch duly fixes the out-of-line ceil function implementations to
avoid "inexact", in the same way as the nearbyint implementations.
I do not know how the performance of implementations such as these
based on saving the environment and changing the rounding mode
temporarily compares to that of the C versions or SSE 4.1 versions (of
course, for 32-bit x86 SSE implementations still need to get the
return value in an x87 register); it's entirely possible other
implementations could be faster in some cases.
Tested for x86_64 and x86.
[BZ #15479]
* sysdeps/i386/fpu/s_ceil.S (__ceil): Save and restore
floating-point environment rather than just control word.
* sysdeps/i386/fpu/s_ceilf.S (__ceilf): Likewise.
* sysdeps/i386/fpu/s_ceill.S (__ceill): Save and restore
floating-point environment, with "invalid" exceptions merged in,
rather than just control word.
* sysdeps/x86_64/fpu/s_ceill.S (__ceill): Likewise.
* math/libm-test.inc (ceil_test_data): Do not allow spurious
"inexact" exceptions.
The x86_64 and i386 versions of scalbl return sNaN for some cases of
sNaN input and are missing "invalid" exceptions for other cases. This
results from overly complicated code that either returns a NaN input,
or discards both inputs when one is NaN and loads a NaN from memory.
This patch fixes this by simplifying the code to add the arguments
when either one is NaN.
Tested for x86_64 and x86.
[BZ #20296]
* sysdeps/i386/fpu/e_scalbl.S (__ieee754_scalbl): Add arguments
when either argument is a NaN.
* sysdeps/x86_64/fpu/e_scalbl.S (__ieee754_scalbl): Likewise.
* math/libm-test.inc (scalb_test_data): Add sNaN tests.
This patch adds tests of sNaN inputs to more functions to
libm-test.inc. This covers the remaining real functions except for
scalb, where there's a bug to fix, and hypot pow fmin fmax, where
there are cases where a qNaN input does not result in a qNaN output
and so sNaN support according to TS 18661-1 is more of a new feature.
Tested for x86_64 and x86.
* math/libm-test.inc (snan_value_ld): New macro.
(isgreater_test_data): Add sNaN tests.
(isgreaterequal_test_data): Likewise.
(isless_test_data): Likewise.
(islessequal_test_data): Likewise.
(islessgreater_test_data): Likewise.
(isunordered_test_data): Likewise.
(nextafter_test_data): Likewise.
(nexttoward_test_data): Likewise.
(remainder_test_data): Likewise.
(remquo_test_data): Likewise.
(significand_test_data): Likewise.
* math/gen-libm-test.pl (%beautify): Add snan_value_ld.
TS 18661 adds nextup and nextdown functions alongside nextafter to provide
support for float128 equivalent to it. This patch adds nextupl, nextup,
nextupf, nextdownl, nextdown and nextdownf to libm before float128 support.
The nextup functions return the next representable value in the direction of
positive infinity and the nextdown functions return the next representable
value in the direction of negative infinity. These are currently enabled
as GNU extensions.
fdim suffers from double rounding on i386 because subtracting two
double values can produce an inexact long double value exactly half
way between two double values. This patch fixes this by creating an
i386-specific version of fdim - C, based on the generic version,
unlike the previous .S version - which sets the x87 precision control
to double precision for the subtraction and then restores it
afterwards. As noted in the comment added, there are no issues of
double rounding for subnormals (a case that setting precision control
does not address) because subtraction cannot produce an inexact result
in the subnormal range.
Tested for x86_64 and x86.
[BZ #20255]
* sysdeps/i386/fpu/s_fdim.c: New file. Based on math/s_fdim.c.
* math/libm-test.inc (fdim_test_data): Add another test.
Some architectures have their own versions of fdim functions, which
are missing errno setting (bug 6796) and may also return sNaN instead
of qNaN for sNaN input, in the case of the x86 / x86_64 long double
versions (bug 20256).
These versions are not actually doing anything that a compiler
couldn't generate, just straightforward comparisons / arithmetic (and,
in the x86 / x86_64 case, testing for NaNs with fxam, which isn't
actually needed once you use an unordered comparison and let the NaNs
pass through the same subtraction as non-NaN inputs). This patch
removes the x86 / x86_64 / powerpc versions, so that those
architectures use the generic C versions, which correctly handle
setting errno and deal properly with sNaN inputs. This seems better
than dealing with setting errno in lots of .S versions.
The i386 versions also return results with excess range and precision,
which is not appropriate for a function exactly defined by reference
to IEEE operations. For errno setting to work correctly on overflow,
it's necessary to remove excess range with math_narrow_eval, which
this patch duly does in the float and double versions so that the
tests can reliably pass on x86. For float, this avoids any double
rounding issues as the long double precision is more than twice that
of float. For double, double rounding issues will need to be
addressed separately, so this patch does not fully fix bug 20255.
Tested for x86_64, x86 and powerpc.
[BZ #6796]
[BZ #20255]
[BZ #20256]
* math/s_fdim.c: Include <math_private.h>.
(__fdim): Use math_narrow_eval on result.
* math/s_fdimf.c: Include <math_private.h>.
(__fdimf): Use math_narrow_eval on result.
* sysdeps/i386/fpu/s_fdim.S: Remove file.
* sysdeps/i386/fpu/s_fdimf.S: Likewise.
* sysdeps/i386/fpu/s_fdiml.S: Likewise.
* sysdeps/i386/i686/fpu/s_fdim.S: Likewise.
* sysdeps/i386/i686/fpu/s_fdimf.S: Likewise.
* sysdeps/i386/i686/fpu/s_fdiml.S: Likewise.
* sysdeps/powerpc/fpu/s_fdim.c: Likewise.
* sysdeps/powerpc/fpu/s_fdimf.c: Likewise.
* sysdeps/powerpc/powerpc32/fpu/s_fdim.c: Likewise.
* sysdeps/powerpc/powerpc64/fpu/s_fdim.c: Likewise.
* sysdeps/x86_64/fpu/s_fdiml.S: Likewise.
* math/libm-test.inc (fdim_test_data): Expect errno setting on
overflow. Add sNaN tests.
The dbl-64 implementation of atan2, passed arguments (sNaN, qNaN),
fails to raise the "invalid" exception. This patch fixes it to add
both arguments, rather than just adding the second argument to itself,
in the case where the second argument is a NaN (which is checked for
before checking for the first argument being a NaN). sNaN tests for
atan2 are added, along with some qNaN tests I noticed were missing but
should have been there by analogy with other tests present.
Tested for x86_64 and x86.
[BZ #20252]
* sysdeps/ieee754/dbl-64/e_atan2.c (__ieee754_atan2): Add both
arguments when second argument is a NaN.
* math/libm-test.inc (atan2_test_data): Add sNaN tests and more
qNaN tests.
Various implementations of frexp functions return sNaN for sNaN
input. This patch fixes them to add such arguments to themselves so
that qNaN is returned.
Tested for x86_64, x86, mips64 and powerpc.
[BZ #20250]
* sysdeps/i386/fpu/s_frexpl.S (__frexpl): Add non-finite input to
itself.
* sysdeps/ieee754/dbl-64/s_frexp.c (__frexp): Add non-finite or
zero input to itself.
* sysdeps/ieee754/dbl-64/wordsize-64/s_frexp.c (__frexp):
Likewise.
* sysdeps/ieee754/flt-32/s_frexpf.c (__frexpf): Likewise.
* sysdeps/ieee754/ldbl-128/s_frexpl.c (__frexpl): Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_frexpl.c (__frexpl): Likewise.
* sysdeps/ieee754/ldbl-96/s_frexpl.c (__frexpl): Likewise.
* math/libm-test.inc (frexp_test_data): Add sNaN tests.
Various modf implementations return sNaN (both outputs) for sNaN
input. In fact they contain code to convert sNaN to qNaN for both
outputs, but the way this is done is multiplying by 1.0 (for a wider
range of inputs that includes NaNs as well as numbers with exponent
large enough to ensure that they are integers), and that
multiplication by 1.0 is optimized away by GCC in the absence of
-fsignaling-nans, unlike other operations on NaNs used for this
purpose that are not no-ops for non-sNaN input. This patch arranges
for those files to be built with -fsignaling-nans so that this
existing code is effective as intended.
Tested for x86_64 and x86.
[BZ #20240]
* math/Makefile (CFLAGS-s_modf.c): New variable.
(CFLAGS-s_modff.c): Likewise.
(CFLAGS-s_modfl.c): Likewise.
* math/libm-test.inc (modf_test_data): Add sNaN tests.
The i386/x86_64 versions of log2l return sNaN for sNaN input. This
patch fixes them to add NaN inputs to themselves so that qNaN is
returned in this case.
Tested for x86_64 and x86.
[BZ #20235]
* sysdeps/i386/fpu/e_log2l.S (__ieee754_log2l): Add NaN input to
itself.
* sysdeps/x86_64/fpu/e_log2l.S (__ieee754_log2l): Likewise.
* math/libm-test.inc (log2_test_data): Add sNaN tests.
The i386/x86_64 versions of log1pl return sNaN for sNaN input. This
patch fixes them to add a NaN input to itself so that qNaN is returned
in this case.
Tested for x86_64 and x86.
[BZ #20229]
* sysdeps/i386/fpu/s_log1pl.S (__log1pl): Add NaN input to itself.
* sysdeps/x86_64/fpu/s_log1pl.S (__log1pl): Likewise.
* math/libm-test.inc (log1p_test_data): Add sNaN tests.
The i386/x86_64 versions of log10l return sNaN for sNaN input. This
patch fixes them to add a NaN input to itself so that qNaN is returned
in this case.
Tested for x86_64 and x86.
[BZ #20228]
* sysdeps/i386/fpu/e_log10l.S (__ieee754_log10l): Add NaN input to
itself.
* sysdeps/x86_64/fpu/e_log10l.S (__ieee754_log10l): Likewise.
* math/libm-test.inc (log10_test_data): Add sNaN tests.
The i386/x86_64 versions of logl return sNaN for sNaN input. This
patch fixes them to add a NaN input to itself so that qNaN is returned
in this case.
Tested for x86_64 and x86 (including a build for i586 to cover the
non-i686 logl version).
[BZ #20227]
* sysdeps/i386/fpu/e_logl.S (__ieee754_logl): Add NaN input to
itself.
* sysdeps/i386/i686/fpu/e_logl.S (__ieee754_logl): Likewise.
* sysdeps/x86_64/fpu/e_logl.S (__ieee754_logl): Likewise.
* math/libm-test.inc (log_test_data): Add sNaN tests.
The i386 and x86_64 implementations of expl, exp10l and expm1l (code
shared between the functions) return sNaN for sNaN input. This patch
fixes them to add NaN inputs to themselves so that qNaN is returned in
this case.
Tested for x86_64 and x86.
[BZ #20226]
* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL): Add NaN argument to
itself.
* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL): Likewise.
* math/libm-test.inc (exp_test_data): Add sNaN tests.
(exp10_test_data): Likewise.
(expm1_test_data): Likewise.
The wrapper implementations of ldexp / scalbn / scalbln
(architecture-independent), and their float / long double variants,
return sNaN for sNaN input. This patch fixes them to add relevant
arguments to themselves so that qNaN is returned in this case.
Tested for x86_64 and x86.
[BZ #20225]
* math/s_ldexp.c (__ldexp): Add non-finite or zero argument to
itself.
* math/s_ldexpf.c (__ldexpf): Likewise.
* math/s_ldexpl.c (__ldexpl): Likewise.
* math/w_scalbln.c (__w_scalbln): Likewise.
* math/w_scalblnf.c (__w_scalblnf): Likewise.
* math/w_scalblnl.c (__w_scalblnl): Likewise.
* math/libm-test.inc (scalbn_test_data): Add sNaN tests.
(scalbln_test_data): Likewise.
The i386 version of cbrtl returns sNaN (without raising any
exceptions) for sNaN input. This patch fixes it to add non-finite
arguments to themselves (the code path in question is also reached for
zero arguments, for which adding them to themselves is also harmless),
so that "invalid" is raised and qNaN returned.
Tested for x86_64 and x86.
[BZ #20224]
* sysdeps/i386/fpu/s_cbrtl.S (__cbrtl): Add non-finite or zero
argument to itself.
* math/libm-test.inc (cbrt_test_data): Add sNaN tests.
This converts the inclusion macro for each test to use
the format specific macro. In addition, the format
specifier is removed as it is applied via the LIT() macro
which is itself applied when converting the auto inputs and
libm-test.inc into libm-test.c.
Use gen-libm-test.pl to generate a list of macros
mapping to libm-test-ulps.h as this simplifies adding new
types without having to modify a growing number of
static headers each time a type is added.
This also removes the final usage of the TEST_(DOUBLE|FLOAT|LDOUBLE)
macros. Thus, they too are removed.
With the exception of the second argument of nexttoward,
any suffixes should be stripped from the test input, and
the macro LIT(x) should be applied to use the correct
suffix for the type being tested.
This adds a new argument type "j" to gen-test-libm.pl
to signify an argument to a test input which does not
require fixup. The test cases of nexttoward have
been updated to use this new feature.
This applies post-processing to all of the test inputs
through gen-libm-test.pl to strip literal suffixes and
apply the LIT(x) macro, with one exception stated above.
This seems a bit cleaner than tossing the macro onto
everything, albeit slightly more obfuscated.
The i386 version of atanhl returns sNaN for sNaN input. This patch
fixes it to add NaN arguments to themselves so it returns qNaN in this
case.
Tested for x86_64 and x86.
[BZ #20219]
* sysdeps/i386/fpu/e_atanhl.S (__ieee754_atanhl): Add NaN argument
to itself.
* math/libm-test.inc (atanh_test_data): Add sNaN tests.
The i386 version of asinhl returns sNaN (without raising any
exceptions) for sNaN input. This patch fixes it to add non-finite
arguments to themselves, so that "invalid" is raised and qNaN
returned.
Tested for x86_64 and x86.
[BZ #20218]
* sysdeps/i386/fpu/s_asinhl.S (__asinhl): Add non-finite argument
to itself.
* math/libm-test.inc (asinh_test_data): Add sNaN tests.
The dbl-64 version of asin returns sNaN for sNaN arguments. This
patch fixes it to add NaN arguments to themselves so that qNaN is
returned in this case.
Tested for x86_64 and x86.
[BZ #20213]
* sysdeps/ieee754/dbl-64/e_asin.c (__ieee754_asin): Add NaN
argument to itself.
* math/libm-test.inc (asin_test_data): Add sNaN tests.
The dbl-64 version of acos returns sNaN for sNaN arguments. This
patch fixes it to add NaN arguments to themselves so that qNaN is
returned in this case.
Tested for x86_64 and x86.
[BZ #20212]
* sysdeps/ieee754/dbl-64/e_asin.c (__ieee754_acos): Add NaN
argument to itself.
* math/libm-test.inc (acos_test_data): Add sNaN tests.
The x86 / x86_64 implementation of nextafterl (also used for
nexttowardl) produces incorrect results (NaNs) when negative
subnormals, the low 32 bits of whose mantissa are zero, are
incremented towards zero. This patch fixes this by disabling the
logic to decrement the exponent in that case.
Tested for x86_64 and x86.
[BZ #20205]
* sysdeps/i386/fpu/s_nextafterl.c (__nextafterl): Do not adjust
exponent when incrementing negative subnormal with low mantissa
word zero.
* math/libm-test.inc (nextafter_test_data) [TEST_COND_intel96]:
Add another test.
This is useful in situations where the long double type is
less precise than the type under test. This adds a new
wrapper macro LITM(x) to each type to append the proper
suffix onto macro constants found in math.h.
These are local to the test suite. Rename them as a macro starting
with lit_pi and a series of postfix operations to give us a constant
starting with lit_pi.
The lit prefix is intended to enable easy substitutions via
gen-test-libm.pl if needed.
This patch removes various no-longer-used macros from libm-test.inc.
NO_TEST_INLINE_FLOAT, NO_TEST_INLINE_DOUBLE and M_PI_6l would have
been used before relevant tests were moved to auto-libm-test-in.
TEST_COND_x86_64 and TEST_COND_x86 were for tests in auto-libm-test-in
XFAILed for x86, and are no longer relevant now the bugs in question
have been fixed and the XFAILing removed (if future x86-specific
XFAILs become needed, they can always be added back).
Tested for x86_64 and x86.
* math/libm-test.inc (NO_TEST_INLINE_FLOAT): Remove macro.
(NO_TEST_INLINE_DOUBLE): Likewise.
(TEST_COND_x86_64): Likewise.
(TEST_COND_x86): Likewise.
(M_PI_6l): Likewise.
Replace most of the type specific macros with the equivalent
type-generic macro using the following sed replacement command below:
sed -ri -e 's/defined TEST_FLOAT/TEST_COND_binary32/' \
-e 's/ndef TEST_FLOAT/ !TEST_COND_binary32/' \
-e 's/def TEST_FLOAT/ TEST_COND_binary32/' \
-e 's/defined TEST_DOUBLE/TEST_COND_binary64/'\
-e 's/ndef TEST_DOUBLE/ !TEST_COND_binary64/' \
-e 's/def TEST_DOUBLE/ TEST_COND_binary64/' \
-e 's/defined TEST_LDOUBLE && //' \
-e 's/ifdef TEST_LDOUBLE/if MANT_DIG >= 64/' \
-e 's/defined TEST_LDOUBLE/MANT_DIG >= 64/' \
-e '/nexttoward_test_data\[\]/,/ };/!s/LDBL_(MIN_EXP|MAX_EXP|MANT_DIG)/\1/g' \
libm-test.inc
With a little extra manual cleanup to simplify the following case:
#if MANT_DIG >= 64
# if MANT_DIG >= 64
...
# endif
...
Note, TEST_LDOUBLE checks are replaced by MANT_DIG >= 64 excepting
where another property of the type is being tested. And, the final
regex is intended to avoid replacing LDBL_ macro usage within the
nexttoward tests which explicitly take argument 2 as long double.
Attempt to creatively redefine the macros
to choose tests based on the format being
tested, not the type.
Note, TS 18661 does not define any printf
modifiers, so we need to be a little more
verbose about constructing strings to
output.
This patch adds more tests of signaling NaN inputs to libm-test.inc.
These tests are for a subset of functions with a single floating-point
input where no failures appeared in x86_64 or x86 testing. I intend
to investigate any failures of these new tests on some other
architectures before dealing with other functions.
Tested for x86_64 and x86.
* math/libm-test.inc (acosh_test_data): Add sNaN tests.
(atan_test_data): Likewise.
(ceil_test_data): Likewise.
(cos_test_data): Likewise.
(cosh_test_data): Likewise.
(erf_test_data): Likewise.
(exp2_test_data): Likewise.
(fabs_test_data): Likewise.
(floor_test_data): Likewise.
(ilogb_test_data): Likewise.
(j0_test_data): Likewise.
(j1_test_data): Likewise.
(jn_test_data): Likewise.
(lgamma_test_data): Likewise.
(lrint_test_data): Likewise.
(llrint_test_data): Likewise.
(logb_test_data): Likewise.
(lround_test_data): Likewise.
(llround_test_data): Likewise.
(nearbyint_test_data): Likewise.
(rint_test_data): Likewise.
(round_test_data): Likewise.
(sin_test_data): Likewise.
(sincos_test_data): Likewise.
(sinh_test_data): Likewise.
(sqrt_test_data): Likewise.
(tan_test_data): Likewise.
(tanh_test_data): Likewise.
(tgamma_test_data): Likewise.
(trunc_test_data): Likewise.
(y0_test_data): Likewise.
(y1_test_data): Likewise.
(yn_test_data): Likewise.
This patch adds support in libm-test.inc for tests with signaling NaN
arguments. gen-libm-test.pl is made to set a flag TEST_SNAN for such
tests, so that they can be disabled automatically when sNaN testing
isn't supported for a given type (at present, for float and double on
32-bit x86 because it's unpredictable when a value might be loaded
into a floating-point register and so automatically converted to long
double with sNaNs converted to quiet NaNs). -fsignaling-nans is used
where needed.
Tests are added for classification macros, as a starting point; this
is deliberately more conservative than Thomas's patch
<https://sourceware.org/ml/libc-ports/2013-04/msg00008.html>, to allow
more tests to be added, and issues exposed fixed, bit by bit.
Tested for x86_64 and x86.
* math/libm-test.inc: Update comment about NaN testing.
(TEST_SNAN): New macro.
(snan_value): Likewise.
(enable_test): Disable tests of sNaNs when SNAN_TESTS fails.
(fpclassify_test_data): Add sNaN tests.
(isfinite_test_data): Likewise.
(isinf_test_data): Likewise.
(isnan_test_data): Likewise.
(isnormal_test_data): Likewise.
(issignaling_test_data): Likewise.
(signbit_test_data): Likewise.
* math/gen-libm-test.pl (%beautify): Add snan_value.
(show_exceptions): Add argument $test_snan.
(parse_args): Handle snan_value as non-finite. Update call to
show_exceptions.
* math/Makefile (libm-test-no-inline-cflags): Add
-fsignaling-nans.
C99 and C11 allow but do not require ceil, floor, round and trunc to
raise the "inexact" exception for noninteger arguments. TS 18661-1
requires that this exception not be raised by these functions. This
aligns them with general IEEE semantics, where "inexact" is only
raised if the final step of rounding the infinite-precision result to
the result type is inexact; for these functions, the
infinite-precision integer result is always representable in the
result type, so "inexact" should never be raised.
The generic implementations of ceil, floor and round functions contain
code to force "inexact" to be raised. This patch removes it for round
functions to align them with TS 18661-1 in this regard. The tests
*are* updated by this patch; there are fewer architecture-specific
versions than for ceil and floor, and I fixed the powerpc ones some
time ago. If any others still have the issue, as shown by tests for
round failing with spurious exceptions, they can be fixed separately
by architecture maintainers or others.
Tested for x86_64, x86 and mips64.
[BZ #15479]
* sysdeps/ieee754/dbl-64/s_round.c (huge): Remove variable.
(__round): Do not force "inexact" exception.
* sysdeps/ieee754/dbl-64/wordsize-64/s_round.c (huge): Remove
variable.
(__round): Do not force "inexact" exception.
* sysdeps/ieee754/flt-32/s_roundf.c (huge): Remove variable.
(__roundf): Do not force "inexact" exception.
* sysdeps/ieee754/ldbl-128/s_roundl.c (huge): Remove variable.
(__roundl): Do not force "inexact" exception.
* sysdeps/ieee754/ldbl-96/s_roundl.c (huge): Remove variable.
(__roundl): Do not force "inexact" exception.
* math/libm-test.inc (round_test_data): Do not allow spurious
"inexact" exceptions.
libm-test.inc has a comment about signs of NaNs not being tested.
This is out of date since:
commit ce66581742
Author: Joseph Myers <joseph@codesourcery.com>
Date: Sat Nov 16 12:48:35 2013 +0000
Test signs of NaNs in libm-test.inc where appropriate.
This patch removes the inaccurate statement.
* math/libm-test.inc: Update comment not to refer to signs of NaNs
not being tested.
A large number of the test-ldouble failures seen for ldbl-128ibm are
spurious "underflow" and "inexact" exceptions. These arise from such
exceptions in the underlying arithmetic; unlike other spurious
exceptions from that arithmetic, they do not in general relate to
cases where the returned result is also substantially inaccurate, are
not so readily avoidable by appropriately conditional libgcc patches,
and are widespread enough to be hard to handle through individual
XFAILing of the affected tests.
Thus, this patch documents relaxed accuracy goals for libm functions
for IBM long double and makes libm-test.inc reflect these spurious
exceptions in ldbl-128ibm arithmetic and always allow them in
ldbl-128ibm testing (while still not allowing these exceptions to be
missing where required to be present). Tested for powerpc.
* manual/math.texi (Errors in Math Functions): Document relaxed
accuracy goals for IBM long double.
* math/libm-test.inc (test_exceptions): Always allow spurious
"underflow" and "inexact" exceptions for IBM long double.
The ldbl-128ibm implementations of remainderl and remquol have logic
resulting in incorrect tests for equality of the absolute values of
the arguments. Equality is tested based on the integer
representations of the high and low parts, with the sign bit masked
off the high part - but when this changes the sign of the high part,
the sign of the low part needs to be changed as well, and failure to
do this means arguments are wrongly treated as equal when they are
not.
This patch fixes the logic to adjust signs of low parts as needed.
Tested for powerpc.
[BZ #19603]
* sysdeps/ieee754/ldbl-128ibm/e_remainderl.c
(__ieee754_remainderl): Adjust sign of integer version of low part
when taking absolute value of high part.
* sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise.
* math/libm-test.inc (remainder_test_data): Add another test.
(remquo_test_data): Likewise.
Prompted by a gcc-patches discussion, this patch adds tests of pow for
the cases where pow (x, 0.5) is required to return a different result
from sqrt (x), as those cases were previously missing from the tests
(although they worked correctly).
Tested for x86_64 and x86.
* math/auto-libm-test-in: Add another test of pow.
* math/auto-libm-test-out: Regenerated.
* math/libm-test.inc (pow_test_data): Add another test.
This patch arranges for the libm-test tests to be run for the
finite-math-only function variants, in addition to the existing runs
for out-of-line and bits/mathinline.h inline variants.
gen-libm-test.pl is made to add a flag to all tests with non-finite
inputs or outputs so that they can be skipped at runtime when the
finite-math-only variants are being tested (skipping is for all
rounding modes; that is, -ffinite-math-only is being treated as
excluding overflow cases even when the rounding mode is such that the
overflowed result is finite). errno setting is not tested for these
variants (in general they don't set it, and it's
implementation-defined in ISO C whether it's set on underflow, with
the glibc definition being that it may not be for -ffinite-math-only;
other cases where errno would normally be expected to be set are
mostly excluded as having non-finite or overflowing arguments or
results).
As with the inline function tests, these ones are built with
-D__FINITE_MATH_ONLY=1 to select the function variants, rather than
-ffinite-math-only. Use of -ffinite-math-only would not be suitable
for these tests because it would also affect libm-test.inc code that
e.g. tests whether results are infinities or NaNs - if these function
variants have bugs that incorrectly produce such results, we want them
to show up in the tests, which means the compiler should not be
optimizing the tests on the basis of results being finite.
The finite-math-only functions share the same ulps settings as the
main out-of-line functions.
These interfaces were one significant group of untested ABIs listed at
<https://sourceware.org/ml/libc-alpha/2013-07/msg00386.html>. I
haven't rerun the script to list untested interfaces, but I expect
that the vast bulk of interfaces there are still untested and could do
with testcases being added (or, if applicable, being made compat
symbols; in general, most symbols not starting '_' are safe bets to
add tests for, while _* need more investigation of what the actual
public API is, if any). I'd like to encourage people to help reduce
the accumulation of untested interfaces by adding more tests.
Tested for x86_64 and x86. Given my recent lgamma/gamma and log*
fixes, the new tests pass (before those fixes, the new tests showed up
those bugs, so illustrating the practical utility of having tests for
these function variants).
* math/libm-test.inc (NON_FINITE): New macro.
(enable_test): Do not run tests flagged NON_FINITE if TEST_FINITE.
* math/gen-libm-test.pl (show_exceptions): Add argument
$non_finite.
(parse_args): Update call to show_exceptions.
* math/test-math-finite.h: New file.
* math/test-math-no-finite.h: Likewise.
* math/test-double-finite.c: Likewise.
* math/test-float-finite.c: Likewise.
* math/test-ldouble-finite.c: Likewise.
* math/test-double.c: Include "test-math-no-finite.h".
* math/test-float.c: Include "test-math-no-finite.h".
* math/test-ldouble.c: Include "test-math-no-finite.h".
* math/test-math-inline.h (TEST_FINITE): New macro.
* math/test-math-vector.h (TEST_FINITE): Likewise.
* math/Makefile (test-longdouble-yes): Add test-ldouble-finite.
(libm-tests): Add test-float-finite and test-double-finite.
($(objpfx)test-float-finite.o): New dependency on
$(objpfx)libm-test.stmp.
($(objpfx)test-double-finite.o): Likewise.
($(objpfx)test-ldouble-finite.o): Likewise.
(libm-test-no-inline-cflags): New variable.
(libm-test-finite-cflags): Likewise.
(CFLAGS-test-float-finite.c): Likewise.
(CFLAGS-test-double-finite.c): Likewise.
(CFLAGS-test-ldouble-finite.c): Likewise.
(CFLAGS-test-float.c): Use $(libm-test-no-inline-cflags).
(CFLAGS-test-double.c): Likewise.
(CFLAGS-test-ldouble.c): Likewise.
This patch refactors how libm-test.inc handles disabling
errno/exception handling tests, and some other tests, for
__FAST_MATH__ inline function tests.
The macro TEST_INLINE is changed from being defined/undefined to being
defined to 1 or 0, so that it can be tested in "if" conditionals
instead of #if. For tests of errno and exception setting, separate
macros TEST_ERRNO and TEST_EXCEPTIONS are added, and TEST_ERRNO is
also used in the disabling of errno testing for vector function
tests. The relevant conditionals are moved up a function, so that
they take effect before the code that counts the number of tests, so
the inline function tests now accurately report that 0 tests for
exceptions and errno were executed (whereas they previously reported a
large number desipte not running any such tests).
Tested for x86_64 and x86.
* math/test-math-errno.h: New file.
* math/test-math-inline.h (TEST_INLINE): Define to 1 instead of
empty.
(TEST_ERRNO): New macro.
(TEST_EXCEPTIONS): Likewise.
* math/test-math-no-inline.h (TEST_INLINE): Likewise.
(TEST_EXCEPTIONS): Likewise.
* math/test-math-vector.h (TEST_ERRNO): Likewise.
* math/test-double.c: Include "test-math-errno.h".
* math/test-float.c: Likewise.
* math/test-ldouble.c: Likewise.
* math/libm-test.inc (test_single_exception) [!TEST_INLINE]: Make
code unconditional.
(test_exceptions): Only run code if TEST_EXCEPTIONS.
(test_single_errno) [!TEST_INLINE && !TEST_MATHVEC]: Make code
unconditional.
(test_errno): Only run code if TEST_ERRNO.
(enable_test): Use "if" conditional on TEST_INLINE, not #ifdef.
This patch improves the libm test coverage for a few more functions.
Tested for x86_64 and x86.
* math/libm-test.inc (modf_test_data): Add more tests.
(nearbyint_test_data): Likewise.
(nextafter_test_data): Likewise.
(nexttoward_test_data): Likewise.
(pow_test_data): Likewise.
(remainder_test_data): Likewise.
(remquo_test_data): Likewise.
(rint_test_data): Likewise.
For some large arguments, the dbl-64 implementation of remainder gives
zero results with the wrong sign, resulting from a subtraction that is
mathematically correct but does not guarantee that a zero result has
the sign of the first argument to remainder. This patch adds an
appropriate check for this case, similar to other implementations of
remainder in the case of equality, and adds tests of remainder on
inputs already used to test remquo.
Tested for x86_64 and x86.
[BZ #19201]
* sysdeps/ieee754/dbl-64/e_remainder.c (__ieee754_remainder):
Check for zero remainder in case of large exponents and ensure
correct sign of result in that case.
* math/libm-test.inc (remainder_test_data): Add more tests.
