Commit Graph

39 Commits

Author SHA1 Message Date
Joseph Myers
863893ec95 Test cpow in all rounding modes.
This patch enables testing of cpow in all rounding modes using
ALL_RM_TEST.  There were two reasons this was previously deferred:

* MPC has complicated rounding-mode-dependent rules for the signs of
  exact zero real or imaginary parts in the result of mpc_pow.  Annex
  G does not impose any such requirements and I don't think glibc
  should try to implement any particular logic here.  This patch adds
  support for gen-auto-libm-tests passing the IGNORE_ZERO_INF_SIGN
  flag to libm-test.inc.

* Error accumulations in some tests in non-default rounding modes
  exceed the maximum error permitted in libm-test.inc.  This patch
  marks the problem tests with xfail-rounding.  (It might be possible
  to reduce the accumulations a bit by using round-to-nearest when
  cpow calls clog, but I don't think there's much point; the
  implementation approach for cpow is fundamentally deficient, as
  discussed in the existing bug for cpow inaccuracy which can
  reasonably be considered to cover these less-inaccurate cases as
  well.  It's possible that the test "cpow 2 0 10 0" will also need
  xfail-rounding on some platforms.)

Tested x86_64 and x86 and ulps updated accordingly.

	* math/gen-auto-libm-tests.c: Document use of
	ignore-zero-inf-sign.
	(input_flag_type): Add value flag_ignore_zero_inf_sign.
	(input_flags): Add ignore-zero-inf-sign.
	(output_for_one_input_case): Handle flag_ignore_zero_inf_sign.
	* math/gen-libm-test.pl (generate_testfile): Handle
	ignore-zero-inf-sign.
	* math/auto-libm-test-in: Mark some cpow tests with
	ignore-zero-inf-sign and some with xfail-rounding.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (cpow_test): Use ALL_RM_TEST.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2014-06-23 20:15:14 +00:00
Joseph Myers
4da6db5188 Fix pow overflow in non-default rounding modes (bug 16315).
This patch fixes bug 16315, bad pow handling of overflow/underflow in
non-default rounding modes.  Tests of pow are duly converted to
ALL_RM_TEST to run all tests in all rounding modes.

There are two main issues here.  First, various implementations
compute a negative result by negating a positive result, but this
yields inappropriate overflow / underflow values for directed
rounding, so either overflow / underflow results need recomputing in
the correct sign, or the relevant overflowing / underflowing operation
needs to be made to have a result of the correct sign.  Second, the
dbl-64 implementation sets FE_TONEAREST internally; in the overflow /
underflow case, the result needs recomputing in the original rounding
mode.

Tested x86_64 and x86 and ulps updated accordingly.

	[BZ #16315]
	* sysdeps/i386/fpu/e_pow.S (__ieee754_pow): Ensure possibly
	overflowing or underflowing operations take place with sign of
	result.
	* sysdeps/i386/fpu/e_powf.S (__ieee754_powf): Likewise.
	* sysdeps/i386/fpu/e_powl.S (__ieee754_powl): Likewise.
	* sysdeps/ieee754/dbl-64/e_pow.c: Include <math.h>.
	(__ieee754_pow): Recompute overflowing and underflowing results in
	original rounding mode.
	* sysdeps/x86/fpu/powl_helper.c: Include <stdbool.h>.
	(__powl_helper): Allow negative argument X and scale negated value
	as needed.  Avoid passing value outside [-1, 1] to f2xm1.
	* sysdeps/x86_64/fpu/e_powl.S (__ieee754_powl): Ensure possibly
	overflowing or underflowing operations take place with sign of
	result.
	* sysdeps/x86_64/fpu/multiarch/e_pow.c [HAVE_FMA4_SUPPORT]:
	Include <math.h>.
	* math/auto-libm-test-in: Add more tests of pow.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (pow_test): Use ALL_RM_TEST.
	(pow_tonearest_test_data): Remove.
	(pow_test_tonearest): Likewise.
	(pow_towardzero_test_data): Likewise.
	(pow_test_towardzero): Likewise.
	(pow_downward_test_data): Likewise.
	(pow_test_downward): Likewise.
	(pow_upward_test_data): Likewise.
	(pow_test_upward): Likewise.
	(main): Don't call removed functions.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2014-06-23 20:12:33 +00:00
Joseph Myers
1a84c3d6d4 Fix log1pl (LDBL_MAX) in FE_UPWARD mode (bug 16564).
Bug 16564 is spurious overflow of log1pl (LDBL_MAX) in FE_UPWARD mode,
resulting from log1pl adding 1 to its argument (for arguments not
close to 0), which overflows in that mode.  This patch fixes this by
avoiding adding 1 to large arguments (precisely what counts as large
depends on the floating-point format).

Tested x86_64 and x86, and spot-checked log1pl tests on mips64 and
powerpc64.

	[BZ #16564]
	* sysdeps/i386/fpu/s_log1pl.S (__log1pl): Do not add 1 to positive
	arguments with exponent 65 or above.
	* sysdeps/ieee754/ldbl-128/s_log1pl.c (__log1pl): Do not add 1 to
	arguments 0x1p113L or above.
	* sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (__log1pl): Do not add 1
	to arguments 0x1p107L or above.
	* sysdeps/x86_64/fpu/s_log1pl.S (__log1pl): Do not add 1 to
	positive arguments with exponent 65 or above.
	* math/auto-libm-test-in: Add more tests of log1p.
	* math/auto-libm-test-out: Regenerated.
2014-05-14 12:38:56 +00:00
Joseph Myers
0bf061d3e3 Fix erf underflow handling near 0 (bug 16516).
Bug 16516 reports spurious underflows from erf (for all floating-point
types), when the result is close to underflowing but does not actually
underflow.

erf (x) is about (2/sqrt(pi))*x for x close to 0, so there are
subnormal arguments for which it does not underflow.  The various
implementations do (x + efx*x) (for efx = 2/sqrt(pi) - 1), for greater
accuracy than if just using a single multiplication by an
approximation to 2/sqrt(pi) (effectively, this way there are a few
more bits in the approximation to 2/sqrt(pi)).  This can introduce
underflows when efx*x underflows even though the final result does
not, so a scaled calculation with 8*efx is done in these cases - but 8
is not a big enough scale factor to avoid all such underflows.  16 is
(any underflows with a scale factor of 16 would only occur when the
final result underflows), so this patch changes the code to use that
factor.  Rather than recomputing all the values of the efx8 variable,
it is removed, leaving it to the compiler's constant folding to
compute 16*efx.  As such scaling can also lose underflows when the
final scaling down happens to be exact, appropriate checks are added
to ensure underflow exceptions occur when required in such cases.

Tested x86_64 and x86; no ulps updates needed.  Also spot-checked for
powerpc32 and mips64 to verify the changes to the ldbl-128ibm and
ldbl-128 implementations.

	[BZ #16516]
	* sysdeps/ieee754/dbl-64/s_erf.c (efx8): Remove variable.
	(__erf): Scale by 16 instead of 8 in potentially underflowing
	case.  Ensure exception if result actually underflows.
	* sysdeps/ieee754/flt-32/s_erff.c (efx8): Remove variable.
	(__erff): Scale by 16 instead of 8 in potentially underflowing
	case.  Ensure exception if result actually underflows.
	* sysdeps/ieee754/ldbl-128/s_erfl.c: Include <float.h>.
	(efx8): Remove variable.
	(__erfl): Scale by 16 instead of 8 in potentially underflowing
	case.  Ensure exception if result actually underflows.
	* sysdeps/ieee754/ldbl-128ibm/s_erfl.c: Include <float.h>.
	(efx8): Remove variable.
	(__erfl): Scale by 16 instead of 8 in potentially underflowing
	case.  Ensure exception if result actually underflows.
	* sysdeps/ieee754/ldbl-96/s_erfl.c: Include <float.h>.
	(efx8): Remove variable.
	(__erfl): Scale by 16 instead of 8 in potentially underflowing
	case.  Ensure exception if result actually underflows.
	* math/auto-libm-test-in: Add more tests of erf.
	* math/auto-libm-test-out: Regenerated.
2014-05-14 12:34:03 +00:00
Joseph Myers
54fa2475d3 Set errno for atan2 underflow (bug 16349).
This patch fixes bug 16349, missing errno setting for atan2 underflow,
by adding appropriate checks to the existing wrappers.  (As in other
cases, the __kernel_standard support for calling matherr is considered
to be for existing code expecting existing rules for what's considered
an error, even if those don't correspond to a general logical scheme
for what counts as what kind of error, so __set_errno calls are added
directly without any changes to __kernel_standard.)

Tested x86_64 and x86.

	[BZ #16349]
	* math/w_atan2.c: Include <errno.h>.
	(__atan2): Set errno for result underflowing to zero.
	* math/w_atan2f.c: Include <errno.h>.
	(__atan2f): Set errno for result underflowing to zero.
	* math/w_atan2l.c: Include <errno.h>.
	(__atan2l): Set errno for result underflowing to zero.
	* math/auto-libm-test-in: Don't allow missing errno for some atan2
	tests.
	* math/auto-libm-test-out: Regenerated.
2014-03-31 14:56:37 +00:00
Joseph Myers
03a7091fa2 Fix x86/x86_64 expl/exp10l spurious underflows (bug 16348).
This patch fixes bug 16348, spurious underflows from x86/x86_64 expl
on arguments close to 0.  These implementations effectively use expm1
(on the fractional part of the argument) internally, so resulting in
spurious underflows when the result is very close to 1.  For arguments
small enough that the round-to-nearest correct result is 1, this patch
uses 1+x instead.

These implementations are also used for exp10l and so the patch fixes
similar issues there (the 0x1p-67 threshold being small enough to be
correct for exp10l as well as expl).  But because of spurious
underflows in other exp10 implementations (bug 16560), the tests
aren't added for exp10 at this point - they can be added when the
other exp10 parts of that bug are fixed.

Tested x86_64 and x86; no ulps updates needed.

	[BZ #16348]
	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [!USE_AS_EXPM1L]: Use
	1+x for argument with exponent below -67.
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [!USE_AS_EXPM1L]:
	Likewise.
	* math/auto-libm-test-in: Add more tests of exp.
	* math/auto-libm-test-out: Regenerated.
2014-03-27 18:41:14 +00:00
Joseph Myers
046651c168 Relax gen-auto-libm-tests may-underflow rules, test log1p in all rounding modes.
gen-auto-libm-tests presently allows but does not require underflow
exceptions for results with magnitude in the range (greatest
subnormal, least normal].

In some cases, the magnitude of the exact result is very slightly
above the least normal, but rounding in the implementation results in
it effectively computing an infinite-precision result that is slightly
below the least normal, so raising an underflow exception.  This is in
accordance with the documented accuracy goals, but results in
testsuite failures.

This patch changes the logic to allow underflows when the mathematical
result is up to 0.5ulp above the least normal (so in any case where
the round-to-nearest result is the least normal).  Ideally underflows
in all these cases would be accepted only when an underflow with the
actual result is consistent with the rounding mode (in FE_TOWARDZERO
mode, a return value of the least normal implies that the
infinite-precision result did not underflow so there should be no
underflow exception, for example), so as to match the documented goals
more precisely - whereas at present the tests for exceptions are
completely independent of the tests of the returned values.  (The same
applies to overflow exceptions as well - they too should be checked
for consistency with the result, as in FE_TOWARDZERO mode a result
1ulp below the largest finite value should be inconsistent with an
overflow exception and cause a failure with overflow rather than
simply being considered a 1ulp error when overflow is expected.)  But
the present patch at least deals with the cases causing spurious
failures so that (a) certain existing tests no longer need to be
marked as having spurious exceptions (such markings in
auto-libm-test-in end up applying to more cases than just those they
are needed for) and (b) log1p can be tested in all rounding modes
without introducing more such failures.  This patch duly moves tests
of log1p to ALL_RM_TEST.

Tested x86_64 and x86 and ulps updated accordingly.

	[BZ #16357]
	[BZ #16599]
	* math/gen-auto-libm-tests.c (fp_format_desc): Add field
	min_plus_half.
	(fp_formats): Update initializers.
	(init_fp_formats): Initialize new field.
	(output_for_one_input_case): Allow underflow for results up to
	min_plus_half.
	* math/libm-test.inc (log1p_test): Use ALL_RM_TEST.
	* math/auto-libm-test-in: Don't mark some underflows from asin and
	atanh as spurious.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2014-03-25 12:26:06 +00:00
Joseph Myers
b376a11a19 Fix dbl-64 exp overflow/underflow in non-default rounding modes (bug 16284).
The dbl-64 version of exp needs round-to-nearest mode for its internal
computations, but that has the consequence of inappropriate
overflowing and underflowing results in other rounding modes.  This
patch fixes this by recomputing the relevant results in cases where
the round-to-nearest result overflows to infinity or underflows to
zero (most of the diffs are actually just consequent reindentation).
Tests are enabled in all rounding modes for complex functions using
exp - but not for cexp because it turns out there are bugs causing
spurious underflows for cexp for some tests, which will need to be
fixed separately (I suspect ccos ccosh csin csinh ctan ctanh have
similar bugs, just not shown by the present set of test inputs).

Tested x86_64 and x86 and ulps updated accordingly.

	[BZ #16284]
	* sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Use original
	rounding mode to recompute results that overflow to infinity or
	underflow to zero.
	* math/auto-libm-test-in: Don't mark tests as expected to fail for
	bug 16284.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (ccos_test): Use ALL_RM_TEST.
	(ccosh_test): Likewise.
	(csin_test_data): Use plus_oflow.
	(csin_test): Use ALL_RM_TEST.
	(csinh_test_data): Use plus_oflow.
	(csinh_test): Use ALL_RM_TEST.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2014-03-24 12:18:45 +00:00
Siddhesh Poyarekar
1cadc85813 Fix sign of input to bsloww1 (BZ #16623)
In 84ba214c, I removed some redundant sign computations and in the
process, I incorrectly got rid of a temporary variable, thus passing
the absolute value of the input to bsloww1.  This caused #16623.

This fix undoes the incorrect change.
2014-02-27 21:12:09 +05:30
Joseph Myers
63689d6165 Move tests of clog10 from libm-test.inc to auto-libm-test-in.
This patch moves tests of clog10 to auto-libm-test-in.  Note that this
means gen-auto-libm-tests will now depend on the recent MPC 1.0.2
release which added a fix for a bug that made gen-auto-libm-tests hang
for clog10.  (It still can't conveniently be used for cacos cacosh
casin casinh catan catanh csin csinh because of extreme slowness of
those functions for special cases in MPC; at least some slow cases of
csin / csinh are fixed in MPC trunk, but not in a release.)

Tested x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add tests of clog10.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (clog10_test_data): Use AUTO_TESTS_c_c.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2014-02-19 14:26:29 +00:00
Joseph Myers
c6af2d896c Move tests of fma from libm-test.inc to auto-libm-test-in.
This patch moves tests of fma to auto-libm-test-in, adding the
required support to gen-auto-libm-tests.

Because fma can have exact zero results depending on the rounding
mode, results of fma cannot always be determined from a single value
computed in higher precision with a sticky bit.  Thus, this patch adds
support for recomputing results with the original MPFR/MPC function in
the case where an exact zero is involved.  (This also affects some
results for cpow; when we start testing cpow in all rounding modes, I
think it will be most appropriate to make those tests use
IGNORE_ZERO_INF_SIGN, since ISO C does not attempt to determine signs
of zero results, or special caes in general, for cpow, and I think
signs of zero for cpow are beyond the scope of glibc's accuracy
goals.)

Simply treating the existing test inputs for fma like those for other
functions (i.e., as representing the given value rounded up or down to
any of the supported floating-point formats) increases the size of
auto-libm-test-out by about 16MB (i.e., about half the file is fma
test data).  While rounded versions of tests are perfectly reasonable
test inputs for fma, in this case having them seems excessive, so this
patch allows functions to specify in gen-auto-libm-tests that the
given test inputs are only to be interpreted exactly, not as
corresponding to values rounded up and down.  This reduces the size of
the generated test data for fma to a more reasonable 2MB.

A consequence of this patch is that fma is now tested for correct
presence or absence of "inexact" exceptions, where previously this
wasn't tested because I didn't want to try to add that test coverage
manually to all the existing tests.  As far as I know, the existing
fma implementations are already correct in this regard.

This patch provides the first cases where the gen-auto-libm-tests
support for distinguishing before-rounding/after-rounding underflow
actually produces separate entries in auto-libm-test-out (for
functions without exactly determined results, the affected cases are
all considered underflow-optional, so this only affects functions like
fma with exactly determined results).  I didn't see any signs of
problems with this logic in the output.

Tested x86_64 and x86.

	* math/auto-libm-test-in: Add tests of fma.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (fma_test_data): Use AUTO_TESTS_fff_f.
	(fma_towardzero_test_data): Likewise.
	(fma_downward_test_data): Likewise.
	(fma_upward_test_data): Likewise.
	* math/gen-auto-libm-tests.c (rounding_mode_desc): Add field
	mpc_mode.
	(rounding_modes): Add values for new field.
	(func_calc_method): Add value mpfr_fff_f.
	(func_calc_desc): Add mpfr_fff_f union field.
	(test_function): Add field exact_args.
	(FUNC): Add macro argument EXACT_ARGS.
	(FUNC_mpfr_f_f): Update call to FUNC.
	(FUNC_mpfr_f_f): Likewise.
	(FUNC_mpfr_ff_f): Likewise.
	(FUNC_mpfr_if_f): Likewise.
	(FUNC_mpc_c_f): Likewise.
	(FUNC_mpc_c_c): Likewise.
	(test_functions): Add fma.  Update calls to FUNC.
	(handle_input_arg): Add argument exact_args.
	(add_test): Update call to handle_input_arg.
	(calc_generic_results): Add argument mode.  Handle mpfr_fff_f.
	(output_for_one_input_case): Update call to calc_generic_results.
	Recalculate exact zero results in each rounding mode.
2014-02-18 21:48:51 +00:00
Joseph Myers
a4fb786185 Fix gen-auto-libm-tests sticky bit setting for negative results.
gen-auto-libm-tests has a bug in the logic for setting a sticky bit
based on the ternary value from MPFR: it is correct for positive
results, but for negative results mpz_setbit acts as if a two's
complement representation is used, whereas the low bit needs setting
based on the sign-magnitude representation GMP actually uses.  (This
showed up in converting fma tests to use auto-libm-test-in /
gen-auto-libm-tests.)

This patch fixes the problem by negating the mpz_t value to set its
low bit.  There are lots of changes to auto-libm-test-out (mainly 1ulp
fixes to ldbl-128 expected results), but only a few ulps updates are
needed on x86 / x86_64.  In one case, a corrected expectation showed
up a spurious underflow exception where the correct result is slightly
outside the underflowing range.

Tested x86_64 and x86 and ulps updated accordingly.

	* math/gen-auto-libm-tests.c (adjust_real): Ensure integers are
	non-negative before setting low bit.
	* math/auto-libm-test-in: Mark one asin test possibly having
	spurious underflow.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2014-02-18 14:45:41 +00:00
Andreas Krebbel
7e6424e343 BZ #16447: Fix ldbl-128 expl implementation.
Extend the range of numbers handled via unsafe mode.
Add expl testcase and regenerate ULPs for s390.
2014-02-11 13:47:47 +01:00
Joseph Myers
a5a326f660 Mark more libm tests with xfail-rounding:ldbl-128ibm.
This patch marks more libm tests as expected to fail for ldbl-128ibm
in non-default rounding modes.  Given this, my expm1l fix
<https://sourceware.org/ml/libc-alpha/2014-01/msg00135.html> and my
libgcc fix <http://gcc.gnu.org/ml/gcc-patches/2014-01/msg00157.html>
for spurious overflows, the remaining failures in test-ldouble.out
(for powerpc32 hard float) are small ulps, spurious underflow and
inexact exceptions (the former probably arising from libgcc bugs
though I haven't checked each case; the latter are barely meaningful
for this format anyway when basic arithmetic isn't correctly rounding,
though most of them are probably GCC bug 59412 which doesn't actually
involve long double), missing underflow exceptions from clog, ctan and
ctanh (probably one of the known bugs for another function), and logb
in round-downward mode (bug 887, though it's really a GCC bug that
we're not currently working around).

Tested for powerpc32 hard float.

	* math/auto-libm-test-in: Mark various tests with
	xfail-rounding:ldbl-128ibm.
	* math/auto-libm-test-out: Regenerated.
2014-01-07 22:41:58 +00:00
Joseph Myers
7dd009d865 Mark various libm tests with xfail-rounding:ldbl-128ibm.
This patch marks various libm tests with xfail-rounding:ldbl-128ibm,
where the failures appear to relate to GCC bug 59666 (bad libgcc
handling of directed rounding), so as to allow clean libm-test-ulps
regeneration without needing to edit out large ulps for various
functions manually.

Note that this only deals with the cases problematic for ulps
regeneration.  There are plenty of test failures left that do not
affect ulps regeneration - results that are infinities or NaNs but
should be finite, or vice versa, and missing and spurious exceptions -
which should also be resolved during the release testing period.

Tested for powerpc32 (hard float).

	* math/auto-libm-test-in: Mark various tests with
	xfail-rounding:ldbl-128ibm.
	* math/auto-libm-test-out: Regenerated.
2014-01-03 17:08:10 +00:00
Allan McRae
d4697bc93d Update copyright notices with scripts/update-copyrights 2014-01-01 22:00:23 +10:00
Joseph Myers
5b0626b9c5 Fix x86 / x86_64 expl / expl10l wild results in directed rounding modes (bug 16356).
This patch fixes bug 16356, bad results from x86 / x86_64 expl /
exp10l in directed rounding modes, the most serious of the bugs shown
up by my patch expanding libm test coverage.  When I fixed bug 16293,
I thought it was only necessary to set round-to-nearest when using
frndint in expm1 functions, because in other cases the cancellation
error from having the resulting fractional part close to 1 or -1 would
not be significant.  However, in expl and exp10l, the way the final
fractional part gets computed (something more complicated than a
simple subtraction, because more precision is needed than you'd get
that way) can result in a value outside the range [-1, 1] when the
argument to frndint was very close to an integer and was rounded the
"wrong" way because of the rounding mode - and the f2xm1 instruction
has undefined results if its argument is outside [-1, 1], so resulting
in the large errors seen.  So this patch removes the USE_AS_EXPM1L
conditionals on the round-to-nearest settings, so all of expl, expm1l
and exp10l now get round-to-nearest used for frndint (meaning the
final fractional part can at most be slightly above 0.5 in
magnitude).  Associated tests of exp and exp10 are added and testing
of exp10 in directed rounding modes enabled.

Tested x86_64 and x86 and ulps updated accordingly.

	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL): Also set
	round-to-nearest for [!USE_AS_EXPM1L].
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL): Likewise.
	* math/auto-libm-test-in: Do not expect cosh tests to fail.  Add
	more tests of exp and exp10.  Expect some exp10 tests to miss
	exceptions or fail in directed rounding modes.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (exp10_tonearest_test_data): New array.
	(exp10_test_tonearest): New function.
	(exp10_towardzero_test_data): New array.
	(exp10_test_towardzero): New function.
	(exp10_downward_test_data): New array.
	(exp10_test_downward): New function.
	(exp10_upward_test_data): New array.
	(exp10_test_upward): New function.
	(main): Call the new functions.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-21 13:07:16 +00:00
Joseph Myers
31e3a40588 Add more libm-test coverage of [a-c]* real functions.
Various libm functions have inadequate test coverage in libm-test.inc
/ auto-libm-test-in - failing to cover all the usual special cases
(infinities, NaNs, zero, large and small finite values, subnormals) as
well as a reasonable range of ordinary inputs and, where appropriate,
inputs close to the thresholds for underflow and overflow.

This patch improves test coverage for real functions [a-c]* (with the
expectation of adding more coverage for other functions later).

Tested x86_64 and x86 and ulps updated accordingly (and eight glibc
bugs and one C11 DR filed for issues found in the process).

	* math/auto-libm-test-in: Add more tests of acos, acosh, asin,
	asinh, atan, atan2, atanh, cbrt, cos and cosh.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (acosh_test_data): Add more tests.
	(atanh_test_data): Likewise.
	(ceil_test_data): Likewise.
	(copysign_test_data): Likewise.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-20 21:03:39 +00:00
Joseph Myers
b7867a3bfb Move tests of cpow from libm-test.inc to auto-libm-test-in.
This patch moves tests of cpow to auto-libm-test-in, adding the
required support to gen-auto-libm-tests.

Tested x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add tests of cpow.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (cpow_test_data): Use AUTO_TESTS_cc_c.
	* * math/gen-auto-libm-tests.c (func_calc_method): Add value
	mpc_cc_c.
	(func_calc_desc): Add mpc_cc_c union field.
	(test_functions): Add cpow.
	(special_fill_2pi): New function.
	(special_real_inputs): Add 2pi.
	(calc_generic_results): Handle mpc_cc_c.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-20 12:35:10 +00:00
Joseph Myers
7fda568229 Move various TEST_c_c tests from libm-test.inc to auto-libm-test-inc.
This patch moves tests of ccos, ccosh, cexp, clog, csqrt, ctan and
ctanh to auto-libm-test-in, adding the required support to
gen-auto-libm-tests.  Other TEST_c_c functions aren't moved for now
(although the relevant table entries are put in gen-auto-libm-tests
for it to know how to handle them): clog10 because of a known MPC bug
causing it to hang for at least some pure imaginary inputs (fixed in
SVN, but I'd rather not rely on unreleased versions of MPFR or MPC
even if relying on very recent releases); the inverse trig and
hyperbolic functions because of known slowness in special cases; and
csin / csinh because of observed slowness that I need to investigate
and report to the MPC maintainers.  Slowness can be bypassed by moving
to incremental generation (only for new / changed tests) rather than
regenerating the whole of auto-libm-test-out every time, but that
needs implementing.  (This patch takes the time for running
gen-auto-libm-tests from about one second to seven, on my system,
which I think is reasonable.  The slow functions would make it take
several minutes at least, which seems unreasonable.)

Tested x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add tests of ccos, ccosh, cexp, clog,
	csqrt, ctan and ctanh.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (TEST_COND_x86_64): New macro.
	(TEST_COND_x86): Likewise.
	(ccos_test_data): Use AUTO_TESTS_c_c.
	(ccosh_test_data): Likewise.
	(cexp_test_data): Likewise.
	(clog_test_data): Likewise.
	(csqrt_test_data): Likewise.
	(ctan_test_data): Likewise.
	(ctan_tonearest_test_data): Likewise.
	(ctan_towardzero_test_data): Likewise.
	(ctan_downward_test_data): Likewise.
	(ctan_upward_test_data): Likewise.
	(ctanh_test_data): Likewise.
	(ctanh_tonearest_test_data): Likewise.
	(ctanh_towardzero_test_data): Likewise.
	(ctanh_downward_test_data): Likewise.
	(ctanh_upward_test_data): Likewise.
	* math/gen-auto-libm-tests.c (func_calc_method): Add value
	mpc_c_c.
	(func_calc_desc): Add mpc_c_c union field.
	(FUNC_mpc_c_c): New macro.
	(test_functions): Add cacos, cacosh, casin, casinh, catan, catanh,
	ccos, ccosh, cexp, clog, clog10, csin, csinh, csqrt, ctan and
	ctanh.
	(special_fill_min_subnorm_p120): New function.
	(special_real_inputs): Add min_subnorm_p120.
	(calc_generic_results): Handle mpc_c_c.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-20 12:32:44 +00:00
Joseph Myers
64a17f1add Move tests of cabs and carg from libm-test.inc to auto-libm-test-in.
This patch moves tests of cabs and carg to auto-libm-test-in, adding
the required support to gen-auto-libm-tests.

Tested x86_64 and x86; no ulps updates needed.

	* math/auto-libm-test-in: Add tests of cabs and carg.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (cabs_test_data): Use AUTO_TESTS_c_f.
	(carg_test_data): Likewise.
	* math/gen-auto-libm-tests.c (func_calc_method): Add value
	mpc_c_f.
	(func_calc_desc): Add mpc_c_f union field.
	(test_functions): Add cabs and carg.
	(calc_generic_results): Handle mpc_c_f.
2013-12-19 21:28:30 +00:00
Joseph Myers
6f6fc48226 Move tests of sincos from libm-test.inc to auto-libm-test-in.
This patch moves tests of sincos to auto-libm-test-in, adding the
required support to gen-auto-libm-tests.

Tested x86_64 and x86 and ulps updated accordingly.

(auto-libm-test-out diffs omitted below.)

	* math/auto-libm-test-in: Add tests of sincos.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (sincos_test_data): Use AUTO_TESTS_fFF_11.
	* math/gen-auto-libm-tests.c (func_calc_method): Add value
	mpfr_f_11.
	(func_calc_desc): Add mpfr_f_11 union field.
	(test_functions): Add sincos.
	(calc_generic_results): Handle mpfr_f_11.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-19 17:21:01 +00:00
Joseph Myers
f88acd39da Fix x86/x86_64 expm1 inaccuracy near 0 in directed rounding modes (bug 16293).
Bug 16293 is inaccuracy of x86/x86_64 versions of expm1, near 0 in
directed rounding modes, that arises from frndint rounding the
exponent to 1 or -1 instead of 0, resulting in large cancellation
error.  This inaccuracy in turn affects other functions such as sinh
that use expm1.  This patch fixes the problem by setting
round-to-nearest mode temporarily around the affected calls to
frndint.  I don't think this is needed for other uses of frndint, such
as in exp itself, as only for expm1 is the cancellation error
significant.

Tested x86_64 and x86 and ulps updated accordingly.

	* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Set
	round-to-nearest mode when using frndint.
	* sysdeps/i386/fpu/s_expm1.S (__expm1): Likewise.
	* sysdeps/i386/fpu/s_expm1f.S (__expm1f): Likewise.
	* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]:
	Likewise.
	* math/auto-libm-test-in: Add more tests of expm1.  Do not expect
	sinh test to fail.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (TEST_COND_x86_64): Remove macro.
	(TEST_COND_x86): Likewise.
	(expm1_tonearest_test_data): New array.
	(expm1_test_tonearest): New function.
	(expm1_towardzero_test_data): New array.
	(expm1_test_towardzero): New function.
	(expm1_downward_test_data): New array.
	(expm1_test_downward): New function.
	(expm1_upward_test_data): New array.
	(expm1_test_upward): New function.
	(main): Run the new test functions.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-19 13:36:10 +00:00
Joseph Myers
f889953b44 Move tests of jn and yn from libm-test.inc to auto-libm-test-in.
This patch moves tests of jn and yn to auto-libm-test-in, adding the
required support for gen-auto-libm-tests (and adding a missing
assertion there and fixing logic that was broken for functions with
integer arguments).

Tested x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add tests of jn and yn.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (jn_test_data): Use AUTO_TESTS_if_f.
	(yn_test_data): Likewise.
	* math/gen-auto-libm-tests.c (func_calc_method): Add value
	mpfr_if_f.
	(func_calc_desc): Add mpfr_if_f union field.
	(FUNC_mpfr_if_f): New macro.
	(test_functions): Add jn and yn.
	(calc_generic_results): Assert type of second input for
	mpfr_ff_f.  Handle mpfr_if_f.
	(output_for_one_input_case): Disable all checking for arguments
	fitting floating-point types in case of an integer argument.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-12-18 17:59:29 +00:00
Joseph Myers
5953eb3ad7 Mark some hypot tests no-test-inline.
As needed on x86.

	* math/auto-libm-test-in: Mark some hypot tests no-test-inline.
	* math/auto-libm-test-out: Regenerated.
2013-12-18 11:46:16 +00:00
Joseph Myers
2dec468fd8 Fix ldbl-128 logl for subnormals (bug 16338).
This patch fixes bug 16338, ldbl-128 logl not handling subnormals
(with consequent inaccuracy for lgammal as well).  The fix is simply
to use __frexpl when determining the exponent, as done already in
log2l and log10l.  Given the lack of testing of small arguments to any
of the log* functions, appropriate tests are added for all of them.

Tested x86_64 and x86 and ulps updated accordingly, and spot tests
also run for mips64 to confirm the ldbl-128 fix.

Note that while this fixes lgammal inaccuracy for small positive
arguments, I suspect that there will still be problems with spurious
underflows in that case.

	* sysdeps/ieee754/ldbl-128/e_logl.c (__ieee754_logl): Use __frexpl
	to determine exponent and adjust argument to have exponent of -1.
	* math/auto-libm-test-in: Add more tests of log, log10, log1p and
	log2.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/x86_64/fpu/libm-test-ulps: Update.
2013-12-18 11:38:27 +00:00
Joseph Myers
6432a5409c Fix dbl-64 hypot spurious underflows (bug 16314). 2013-12-17 13:43:40 +00:00
Joseph Myers
c88769dda4 Fix hypot handling of subnormals (bug 16316, bug 16330). 2013-12-17 13:42:13 +00:00
Joseph Myers
ff362e5b93 Move tests of atan2, hypot and pow from libm-test.inc to auto-libm-test-in. 2013-12-16 21:18:07 +00:00
Joseph Myers
9f0be4f8b5 Move tests of lgamma from libm-test.inc to auto-libm-test-in. 2013-12-08 23:56:28 +00:00
Joseph Myers
e47cc4e0ed Fix tgamma errno setting on underflow (bug 6810). 2013-12-05 14:01:41 +00:00
Joseph Myers
bbf37bdc12 Move TEST_f_f tests for [l-y]* functions from libm-test.inc to auto-libm-test-in. 2013-12-05 13:54:50 +00:00
Joseph Myers
749008ff03 Fix exp missing underflows (bug 15268, bug 15425). 2013-12-03 21:49:56 +00:00
Joseph Myers
17dea1887f Fix exp2 errno setting on underflow (bug 16283). 2013-12-03 20:50:51 +00:00
Joseph Myers
34e16df5a1 Fix erfc errno setting on underflow (bug 6786). 2013-12-03 16:25:18 +00:00
Joseph Myers
d8e2dbe3e3 Move TEST_f_f tests for [e-j]* functions from libm-test.inc to auto-libm-test-in. 2013-12-03 16:22:49 +00:00
Joseph Myers
176b0c7913 Move TEST_f_f tests for [a-c]* functions from libm-test.inc to auto-libm-test-in. 2013-11-30 22:04:13 +00:00
Joseph Myers
ea3bc4e821 Fix x86 sqrt rounding (bug 14032). 2013-11-29 16:31:16 +00:00
Joseph Myers
ffb536d0ac Start generating libm tests automatically with MPFR. 2013-11-29 16:27:55 +00:00