Removed more redundant computations in the slow paths of the sin and
cos functions. The notable change is the passing of the most
significant bits of X to the slow functions to check if X is positive
so that just the absolute value of x can be passed and the repeated
ABS() operation is avoided.
There are multiple points in the code where the absolute value of a
number is computed multiple times or is computed even though the value
can only be positive. This change removes those redundant
computations. Tested on x86_64 to verify that there were no
regressions in the testsuite.
sysdeps/powerpc/powerpc32/libgcc-compat.S makes certain symbols that
glibc once accidentally reexported from libgcc into compat symbols.
Where the exports were purely accidental, this is the right thing to
do. However, for powerpc-nofpu the soft-fp symbols are deliberately
exported from libc, given public versions in
sysdeps/powerpc/nofpu/Versions and used by libm in preference to the
libgcc versions that do not support the software exceptions and
rounding modes. The libc versions should also be usable by user
programs, though normally libgcc gets linked in first (meaning,
effectively, that the <fenv.h> functions are broken as regards their
expected effects on user arithmetic).
A longstanding todo item is to remove the functions in question from
libgcc (when built with recent enough glibc) - that is, remove them
from static libgcc and make them compat symbols in shared libgcc - so
that this works properly (this is one of the items mentioned at
<http://gcc.gnu.org/wiki/Software_floating_point> - parts of that page
are obviously out of date, but this item still applies). Doing this
requires first that the functions are actually available from libc for
new links, not just as compat symbols.
This patch stops the symbols in question being compat symbols for
powerpc-nofpu. The nofpu Versions entries for them are removed (the
symbols never were exported at GLIBC_2.3.2, only GLIBC_2.0, because
the compat symbols took precedence).
Tested powerpc-nofpu. The symbols are no longer compat symbols and
libm.so now properly gets undefined references to them (resolved to
libc.so) instead of the libgcc copies getting linked into libm as
before.
* sysdeps/powerpc/powerpc32/libgcc-compat.S
[_SOFT_FLOAT || __NO_FPRS__] (__fixdfdi_v_glibc20): Do not define
as a macro and a compat symbol.
[_SOFT_FLOAT || __NO_FPRS__] (__fixsfdi_v_glibc20): Likewise.
[_SOFT_FLOAT || __NO_FPRS__] (__fixunsdfdi_v_glibc20): Likewise.
[_SOFT_FLOAT || __NO_FPRS__] (__fixunssfdi_v_glibc20): Likewise.
[_SOFT_FLOAT || __NO_FPRS__] (__floatdidf_v_glibc20): Likewise.
[_SOFT_FLOAT || __NO_FPRS__] (__floaddisf_v_glibc20): Likewise.
[HAVE_DOT_HIDDEN && (_SOFT_FLOAT || __NO_FPRS__)] (__fixdfdi): Do
not use .hidden.
[HAVE_DOT_HIDDEN && (_SOFT_FLOAT || __NO_FPRS__)] (__fixsfdi):
Likewise.
[HAVE_DOT_HIDDEN && (_SOFT_FLOAT || __NO_FPRS__)] (__fixunsdfdi):
Likewise.
[HAVE_DOT_HIDDEN && (_SOFT_FLOAT || __NO_FPRS__)] (__fixunssfdi):
Likewise.
[HAVE_DOT_HIDDEN && (_SOFT_FLOAT || __NO_FPRS__)] (__floaddidf):
Likewise.
[HAVE_DOT_HIDDEN && (_SOFT_FLOAT || __NO_FPRS__)] (__floaddisf):
Likewise.
* sysdeps/powerpc/nofpu/Versions (libc): Remove __fixdfdi,
__fixsfdi, __fixunsdfdi, __fixunssfdi, __floatdidf and __floatdisf
from GLIBC_2.3.2.
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.
math/gen-libm-test.pl has code to beautify names of various constants,
transforming the source form in libm-test.inc into the version
appearing in test names in libm-test-ulps files.
This has become decreasingly relevant over time for the M_* constants,
first as I changed the test names so only the arguments and not the
expected results appeared in them, then as tests have moved to
auto-libm-test-* so that automatically generated hex float constants
get used instead of M_* in test inputs.
This patch removes the beautification for all M_* constants. Tested
x86_64 and x86 and ulps updated accordingly. Even the one case where
this affected the name in the ulps files will disappear once complex
function tests are moved to auto-libm-test-*.
* math/gen-libm-test.pl (%beautify): Remove M_* constants.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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.
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.
My recent changes that added libm_hidden_proto / libm_hidden_def for
fegetround had the side effect of removing the need for a
localplt.data entry for fegetround for powerpc-nofpu. This patch
removes that entry. Tested powerpc-nofpu.
* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/nptl/localplt.data:
Don't expect fegetround reference in libm.so.
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.
- Remove redundant mynumber union definitions
- Clean up a clumsy ternary operator
- Rename TAYLOR_SINCOS to TAYLOR_SIN since we're only expanding the
sin Taylor series in it.
A sse42 version of strstr used pcmpistr instruction which is quite
ineffective. A faster way is look for pairs of characters which is uses
sse2, is faster than pcmpistr and for real strings a pairs we look for
are relatively rare.
For linear time complexity we use buy or rent technique which switches
to two-way algorithm when superlinear behaviour is detected.
For PPC64, all the wrappers at sysdeps are superfluous: they are
basically the same implementation from math/w_sqrt.c with the
'#ifdef _IEEE_LIBM'. And the power4 version just force the 'fsqrt'
instruction utilization with an inline assembly, which is already
handled by math_private.h __ieee754_sqrt implementation.
