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The libm size improvement built with gcc-14, "--enable-stack-protector=strong
--enable-bind-now=yes --enable-fortify-source=2":
Before:
582292 844 12 583148 8e5ec aarch64-linux-gnu/math/libm.so
975133 1076 12 976221 ee55d x86_64-linux-gnu/math/libm.so
1203586 5608 368 1209562 1274da powerpc64le-linux-gnu/math/libm.so
After:
581972 844 12 582828 8e4ac aarch64-linux-gnu/math/libm.so
974941 1076 12 976029 ee49d x86_64-linux-gnu/math/libm.so
1203394 5608 368 1209370 12741a powerpc64le-linux-gnu/math/libm.so
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
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The libm size improvement built with gcc-14, "--enable-stack-protector=strong
--enable-bind-now=yes --enable-fortify-source=2":
Before:
text data bss dec hex filename
583444 844 12 584300 8ea6c aarch64-linux-gnu/math/libm.so
976349 1076 12 977437 eea1d x86_64-linux-gnu/math/libm.so
1204738 5608 368 1210714 12795a powerpc64le-linux-gnu/math/libm.so
After:
582292 844 12 583148 8e5ec aarch64-linux-gnu/math/libm.so
975133 1076 12 976221 ee55d x86_64-linux-gnu/math/libm.so
1203586 5608 368 1209562 1274da powerpc64le-linux-gnu/math/libm.so
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
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The libm size improvement built with gcc-14, "--enable-stack-protector=strong
--enable-bind-now=yes --enable-fortify-source=2":
Before:
text data bss dec hex filename
584500 844 12 585356 8ee8c aarch64-linux-gnu/math/libm.so
977341 1076 12 978429 eedfd x86_64-linux-gnu/math/libm.so
1205762 5608 368 1211738 127d5a powerpc64le-linux-gnu/math/libm.so
After:
text data bss dec hex filename
583444 844 12 584300 8ea6c aarch64-linux-gnu/math/libm.so
976349 1076 12 977437 eea1d x86_64-linux-gnu/math/libm.so
1204738 5608 368 1210714 12795a powerpc64le-linux-gnu/math/libm.so
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
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The libm size improvement built with "--enable-stack-protector=strong
--enable-bind-now=yes --enable-fortify-source=2":
Before:
text data bss dec hex filename
585192 860 12 586064 8f150 aarch64-linux-gnu/math/libm.so
960775 1068 12 961855 ead3f x86_64-linux-gnu/math/libm.so
1189174 5544 368 1195086 123c4e powerpc64le-linux-gnu/math/libm.so
After:
text data bss dec hex filename
584952 860 12 585824 8f060 aarch64-linux-gnu/math/libm.so
960615 1068 12 961695 eac9f x86_64-linux-gnu/math/libm.so
1189078 5544 368 1194990 123bee powerpc64le-linux-gnu/math/libm.so
The are small code changes for x86_64 and powerpc64le, which do not
affect performance; but on aarch64 with gcc-14 I see a slight better
code generation due the usage of ldq for floating point constant loading.
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
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The libm size improvement built with "--enable-stack-protector=strong
--enable-bind-now=yes --enable-fortify-source=2":
Before:
text data bss dec hex filename
587304 860 12 588176 8f990 aarch64-linux-gnu-master/math/libm.so
962855 1068 12 963935 eb55f x86_64-linux-gnu-master/math/libm.so
1191222 5544 368 1197134 12444e powerpc64le-linux-gnu-master/math/libm.so
After:
text data bss dec hex filename
585192 860 12 586064 8f150 aarch64-linux-gnu/math/libm.so
960775 1068 12 961855 ead3f x86_64-linux-gnu/math/libm.so
1189174 5544 368 1195086 123c4e powerpc64le-linux-gnu/math/libm.so
The are small code changes for x86_64 and powerpc64le, which do not
affect performance; but on aarch64 with gcc-14 I see a slight better
code generation due the usage of ldq for floating point constant loading.
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
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The CORE-MATH implementation is correctly rounded (for any rounding mode)
and shows better performance to the generic atanpif.
The code was adapted to glibc style and to use the definition of
math_config.h (to handle errno, overflow, and underflow).
Benchtest on x64_64 (Ryzen 9 5900X, gcc 14.2.1), aarch64 (Neoverse-N1,
gcc 13.3.1), and powerpc (POWER10, gcc 13.2.1):
latency master patched improvement
x86_64 66.3296 52.7558 20.46%
x86_64v2 66.0429 51.4007 22.17%
x86_64v3 60.6294 48.7876 19.53%
aarch64 (Neoverse) 24.3163 20.9110 14.00%
power8 16.5766 13.3620 19.39%
power10 16.5115 13.4072 18.80%
reciprocal-throughput master patched improvement
x86_64 30.8599 16.0866 47.87%
x86_64v2 29.2286 15.4688 47.08%
x86_64v3 23.0960 12.8510 44.36%
aarch64 (Neoverse) 15.4619 10.6752 30.96%
power8 7.9200 5.2483 33.73%
power10 6.8539 4.6262 32.50%
Reviewed-by: DJ Delorie <dj@redhat.com>
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The logic was copied wrong from CORE-MATH.
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The logic was copied wrong from CORE-MATH.
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It was copied wrong from CORE-MATH.
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Vector variant of the new C23 tanpi. New tests pass on AArch64.
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Vector variant of the new C23 cospi. New tests pass on AArch64.
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Vector variant of the new C23 sinpi. New tests pass on AArch64.
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More routines are to follow, some of which hit many failures in the
current testsuite due to wrong sign of zero (mathvec routines are not
required to get this right). Instead of disabling a large number of
tests, change the failure condition such that, for vector routines,
tests pass as long as computed == expected == 0.0, regardless of sign.
Affected tests (vector tests for expm1, log1p, sin, tan and tanh) all
still pass.
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Clang's <tgmath.h> doesn't support all C23 functions in glibc's <tgmath.h>:
https://github.com/llvm/llvm-project/issues/121536
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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These inputs were generated with the programs from
https://gitlab.inria.fr/zimmerma/math_accuracy,
with rounding to nearest:
* for univariate binary32 functions by exhaustive search
* for other functions with the "threshold" parameter up to 10^6
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clang warns that since the global variables are only used to function
calls (without being actually used), they are not needed and will
not be emitted.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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Clang doesn't support -ffloat-store:
clang: error: optimization flag '-ffloat-store' is not supported [-Werror,-Wignored-optimization-argument]
Define test-config-cflags-float-store for -ffloat-store and use it in
math/Makefile for testing.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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Since math/math.h isn't a system header, clang issues errors:
In file included from test-flt-eval-method.c:20:
In file included from ../include/math.h:7:
../math/math.h:91:11: error: 'INFINITY' macro redefined [-Werror,-Wmacro-redefined]
91 | # define INFINITY (__builtin_inff ())
| ^
/usr/bin/../lib/clang/19/include/float.h:173:11: note: previous definition is here
173 | # define INFINITY (__builtin_inff())
| ^
In file included from test-flt-eval-method.c:20:
In file included from ../include/math.h:7:
../math/math.h:98:11: error: 'NAN' macro redefined [-Werror,-Wmacro-redefined]
98 | # define NAN (__builtin_nanf (""))
| ^
/usr/bin/../lib/clang/19/include/float.h:174:11: note: previous definition is here
174 | # define NAN (__builtin_nanf(""))
Don't define INFINITY nor NAN if they are defined.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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Since __builtin_complex was added to Clang 12, support __builtin_complex
for Clang 12.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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tgmath3-macro-tests won't compile with <float.h> and <tgmath.h> from
Clang due to missing C23 support:
https://github.com/llvm/llvm-project/issues/97335
Disable them for now when Clang is used for testing so that "make check"
can finish.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
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Clang has its own <tgmath.h> and doesn't use <tgmath.h> from glibc. Pass
"-I." to compiler only if $($(<F)-no-include-dot) are undefined. Define
it to yes for tgmath tests when testing with Clang.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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On powerpc math/test-ibm128-tanpi shows multiple failures:
testing long double (without inline functions)
Failure: tanpi_downward (0xfffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_downward (0xfffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_downward (0xfffffffffffffffdp-1)
Result:
is: 4.68843873182857939141363635204365e+28 0x1.2efbb6629d1d59b032520400df8p+95
should be: inf inf
Failure: tanpi_downward (0x3fffffffffffffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_downward (0x3fffffffffffffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_downward (0x3fffffffffffffffffffffffffdp-1)
Result:
is: 1.41444453325831960404472183124793e+16 0x1.9202627cbf98e052d5fdbeee1f8p+53
should be: inf inf
Failure: tanpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): Exception "Invalid operation" set
Failure: tanpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): Exception "Overflow" set
Failure: tanpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): errno set to 33, expected 0 (unchanged)
Failure: Test: tanpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020)
Result:
is: qNaN
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
Failure: Test: tanpi_downward (0x3.fffffffffffffffcp+108)
Result:
is: 2.91356019227449116879287504834896e-15 0x1.a3e365fee24d4632f95a2235698p-49
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 2.91356019227449116879287504834896e-15 0x1.a3e365fee24d4632f95a2235698p-49
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 8.0000
Failure: Test: tanpi_downward (0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 7.94911926685664643005642781870827e-16 0x1.ca3c4b83eb5688e1474146dc338p-51
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 7.94911926685664643005642781870827e-16 0x1.ca3c4b83eb5688e1474146dc338p-51
ulp : 160891965142034222272327839154722485473479235229008379884749401713481320342777314570400076204240982703218835644458374555276642
max.ulp : 8.0000
Failure: tanpi_towardzero (0xfffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_towardzero (0xfffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_towardzero (0xfffffffffffffffdp-1)
Result:
is: 2.14718475310122677917055904836884e+28 0x1.1584624c14882fff76592b4ec10p+94
should be: inf inf
Failure: tanpi_towardzero (-0xfffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_towardzero (-0xfffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_towardzero (-0xfffffffffffffffdp-1)
Result:
is: -2.14718475310122677917055904836884e+28 -0x1.1584624c14882fff76592b4ec10p+94
should be: -inf -inf
Failure: tanpi_towardzero (0x3fffffffffffffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_towardzero (0x3fffffffffffffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_towardzero (0x3fffffffffffffffffffffffffdp-1)
Result:
is: 6.60739946234609289593176521179840e+15 0x1.7796511d79d6ce55bc8bf083fe0p+52
should be: inf inf
Failure: tanpi_towardzero (-0x3fffffffffffffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_towardzero (-0x3fffffffffffffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_towardzero (-0x3fffffffffffffffffffffffffdp-1)
Result:
is: -6.60739946234609289593176521179840e+15 -0x1.7796511d79d6ce55bc8bf083fe0p+52
should be: -inf -inf
Failure: Test: tanpi_towardzero (-0x3.fffffffffffffffcp+108)
Result:
is: -1.17953443892757434921819283936141e-14 -0x1.a8f8d97fb893518cbe5688935c0p-47
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 1.17953443892757434921819283936141e-14 0x1.a8f8d97fb893518cbe5688935c0p-47
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 8.0000
Failure: Test: tanpi_towardzero (-0x3.ffffffffffffffffffffffffffp+108)
Result:
is: -1.85584803206881692897837494734542e-14 -0x1.4e51e25c1f5ab4470a3a0a42c24p-46
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 1.85584803206881692897837494734542e-14 0x1.4e51e25c1f5ab4470a3a0a42c24p-46
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 8.0000
Failure: Test: tanpi_towardzero (0x3.fffffffffffffffcp+108)
Result:
is: 1.17953443892757434921819283936141e-14 0x1.a8f8d97fb893518cbe5688935c0p-47
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 1.17953443892757434921819283936141e-14 0x1.a8f8d97fb893518cbe5688935c0p-47
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 8.0000
Failure: Test: tanpi_towardzero (0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 1.85584803206881692897837494734542e-14 0x1.4e51e25c1f5ab4470a3a0a42c24p-46
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 1.85584803206881692897837494734542e-14 0x1.4e51e25c1f5ab4470a3a0a42c24p-46
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 8.0000
Failure: tanpi_upward (-0xfffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_upward (-0xfffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_upward (-0xfffffffffffffffdp-1)
Result:
is: -2.14718475310122677917055904836884e+28 -0x1.1584624c14882fff76592b4ec10p+94
should be: -inf -inf
Failure: tanpi_upward (-0x3fffffffffffffffffffffffffdp-1): Exception "Divide by zero" not set
Failure: tanpi_upward (-0x3fffffffffffffffffffffffffdp-1): errno set to 0, expected 34 (ERANGE)
Failure: Test: tanpi_upward (-0x3fffffffffffffffffffffffffdp-1)
Result:
is: -6.60739946234609289593176521179829e+15 -0x1.7796511d79d6ce55bc8bf083fdbp+52
should be: -inf -inf
Failure: Test: tanpi_upward (-0x3.fffffffffffffffcp+108)
Result:
is: -1.17953443892757434921819283936138e-14 -0x1.a8f8d97fb893518cbe5688935b0p-47
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 1.17953443892757434921819283936139e-14 0x1.a8f8d97fb893518cbe5688935b0p-47
ulp : inf
max.ulp : 8.0000
Failure: Test: tanpi_upward (-0x3.ffffffffffffffffffffffffffp+108)
Result:
is: -1.85584803206881692897837494734542e-14 -0x1.4e51e25c1f5ab4470a3a0a42c24p-46
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 1.85584803206881692897837494734543e-14 0x1.4e51e25c1f5ab4470a3a0a42c24p-46
ulp : inf
max.ulp : 8.0000
Failure: tanpi_upward (0xf.ffffffffffffbffffffffffffcp+1020): Exception "Invalid operation" set
Failure: tanpi_upward (0xf.ffffffffffffbffffffffffffcp+1020): Exception "Overflow" set
Failure: tanpi_upward (0xf.ffffffffffffbffffffffffffcp+1020): errno set to 33, expected 0 (unchanged)
Failure: Test: tanpi_upward (0xf.ffffffffffffbffffffffffffcp+1020)
Result:
is: qNaN
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
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The pi defined constants are not the expected value for carg
on non-default rounding modes (similar to atan). Instead use
autogenerated value.
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The pi defined constants are not the expected value for atan2
on non-default rounding modes. Instead use the autogenerated value.
Reviewed-by: DJ Delorie <dj@redhat.com>
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The M_PI_2 (lit_pi_2_d) constant is not the expected value for atanf
on non-default rounding modes. Instead use the autogenerated value.
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For some correctly rounded inputs where infinity might generate
a number (like atanf), comparing to a pre-defined constant does not
yield the expected result in all rounding modes.
The most straightforward way to handle it would be to get the expected
result from mpfr, where it handles all the rounding modes.
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Reviewed-by: DJ Delorie <dj@redhat.com>
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C23 adds various <math.h> function families originally defined in TS
18661-4. Add the atan2pi functions (atan2(y,x)/pi).
Tested for x86_64 and x86, and with build-many-glibcs.py.
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Since libm doesn't export __XXX math functions, don't declare them in
the installed math.h by adding <bits/mathcalls-macros.h> to declare
__XXX math functions internally for glibc build. This fixes BZ #32418.
Signed-off-by: H.J. Lu <hjl.tools@gmail.com>
Reviewed-by: Sam James <sam@gentoo.org>
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C23 adds various <math.h> function families originally defined in TS
18661-4. Add the atanpi functions (atan(x)/pi).
Tested for x86_64 and x86, and with build-many-glibcs.py.
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C23 adds various <math.h> function families originally defined in TS
18661-4. Add the asinpi functions (asin(x)/pi).
Tested for x86_64 and x86, and with build-many-glibcs.py.
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C23 adds various <math.h> function families originally defined in TS
18661-4. Add the acospi functions (acos(x)/pi).
Tested for x86_64 and x86, and with build-many-glibcs.py.
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C23 adds various <math.h> function families originally defined in TS
18661-4. Add the tanpi functions (tan(pi*x)).
Tested for x86_64 and x86, and with build-many-glibcs.py.
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On powerpc math/test-ibm128-sinpi shows:
testing long double (without inline functions)
Failure: sinpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): Exception "Invalid operation" set
Failure: sinpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): Exception "Overflow" set
Failure: sinpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): errno set to 33, expected 0 (unchanged)
Failure: Test: sinpi_downward (-0xf.ffffffffffffbffffffffffffcp+1020)
Result:
is: qNaN
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
Failure: Test: sinpi_downward (0x3.fffffffffffffffcp+108)
Result:
is: 2.97479253223185882765417834495004e-15 0x1.acb679186c7b49a36c9ec63e110p-49
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 2.97479253223185882765417834495004e-15 0x1.acb679186c7b49a36c9ec63e110p-49
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 4.0000
Failure: Test: sinpi_downward (0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 2.63250110604328276654475674742669e-15 0x1.7b6225fa8503a5a8c514f5c0208p-49
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 2.63250110604328276654475674742669e-15 0x1.7b6225fa8503a5a8c514f5c0208p-49
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 4.0000
Failure: Test: sinpi_towardzero (-0x3.fffffffffffffffcp+108)
Result:
is: -1.71856472474338625450766636956702e-14 -0x1.3596cf230d8f69346d93d8c3100p-46
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 1.71856472474338625450766636956702e-14 0x1.3596cf230d8f69346d93d8c3100p-46
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 3.0000
Failure: Test: sinpi_towardzero (-0x3.ffffffffffffffffffffffffffp+108)
Result:
is: -9.73792846364428462525599942305655e-15 -0x1.5ed8897ea140e96a31453d6e580p-47
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 9.73792846364428462525599942305655e-15 0x1.5ed8897ea140e96a31453d6e580p-47
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 3.0000
Failure: Test: sinpi_towardzero (0x3.fffffffffffffffcp+108)
Result:
is: 1.71856472474338625450766636956702e-14 0x1.3596cf230d8f69346d93d8c3100p-46
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 1.71856472474338625450766636956702e-14 0x1.3596cf230d8f69346d93d8c3100p-46
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 3.0000
Failure: Test: sinpi_towardzero (0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 9.73792846364428462525599942305655e-15 0x1.5ed8897ea140e96a31453d6e580p-47
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
difference: 9.73792846364428462525599942305655e-15 0x1.5ed8897ea140e96a31453d6e580p-47
ulp : 179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321
max.ulp : 3.0000
Failure: Test: sinpi_upward (-0x3.fffffffffffffffcp+108)
Result:
is: -1.71856472474338625450766636956709e-14 -0x1.3596cf230d8f69346d93d8c3110p-46
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 1.71856472474338625450766636956710e-14 0x1.3596cf230d8f69346d93d8c3110p-46
ulp : inf
max.ulp : 4.0000
Failure: Test: sinpi_upward (-0x3.ffffffffffffffffffffffffffp+108)
Result:
is: -9.73792846364428462525599942305708e-15 -0x1.5ed8897ea140e96a31453d6e598p-47
should be: -0.00000000000000000000000000000000e+00 -0x0.000000000000000000000000000p+0
difference: 9.73792846364428462525599942305709e-15 0x1.5ed8897ea140e96a31453d6e598p-47
ulp : inf
max.ulp : 4.0000
Failure: sinpi_upward (0xf.ffffffffffffbffffffffffffcp+1020): Exception "Invalid operation" set
Failure: sinpi_upward (0xf.ffffffffffffbffffffffffffcp+1020): Exception "Overflow" set
Failure: sinpi_upward (0xf.ffffffffffffbffffffffffffcp+1020): errno set to 33, expected 0 (unchanged)
Failure: Test: sinpi_upward (0xf.ffffffffffffbffffffffffffcp+1020)
Result:
is: qNaN
should be: 0.00000000000000000000000000000000e+00 0x0.000000000000000000000000000p+0
|
|
On powerpc math/test-ibm128-cospi shows:
testing long double (without inline functions)
Failure: cospi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): Exception "Invalid operation" set
Failure: cospi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): Exception "Overflow" set
Failure: cospi_downward (-0xf.ffffffffffffbffffffffffffcp+1020): errno set to 33, expected 0 (unchanged)
Failure: Test: cospi_downward (-0xf.ffffffffffffbffffffffffffcp+1020)
Result:
is: qNaN
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
Failure: Test: cospi_downward (0x3.fffffffffffffffcp+108)
Result:
is: 9.99999999999999999999999999995574e-01 0x1.ffffffffffffffffffffffff4c8p-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 4.42501664022411309598141492088312e-30 0x1.670000000000000000000000000p-98
ulp : 179.5000
max.ulp : 4.0000
Failure: Test: cospi_downward (0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 9.99999999999999999999999999996524e-01 0x1.ffffffffffffffffffffffff730p-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 3.47591836363008326759542899077727e-30 0x1.1a0000000000000000000000000p-98
ulp : 141.0000
max.ulp : 4.0000
Failure: Test: cospi_towardzero (-0x3.fffffffffffffffcp+108)
Result:
is: 9.99999999999999999999999999852310e-01 0x1.ffffffffffffffffffffffe8990p-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 1.47689552599346303944427057331536e-28 0x1.767000000000000000000000000p-93
ulp : 5991.0000
max.ulp : 4.0000
Failure: Test: cospi_towardzero (-0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 9.99999999999999999999999999952569e-01 0x1.fffffffffffffffffffffff87c0p-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 4.74302619264133348003801799876275e-29 0x1.e10000000000000000000000000p-95
ulp : 1924.0000
max.ulp : 4.0000
Failure: Test: cospi_towardzero (0x3.fffffffffffffffcp+108)
Result:
is: 9.99999999999999999999999999852310e-01 0x1.ffffffffffffffffffffffe8990p-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 1.47689552599346303944427057331536e-28 0x1.767000000000000000000000000p-93
ulp : 5991.0000
max.ulp : 4.0000
Failure: Test: cospi_towardzero (0x3.ffffffffffffffffffffffffffp+108)
Result:
is: 9.99999999999999999999999999952569e-01 0x1.fffffffffffffffffffffff87c0p-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 4.74302619264133348003801799876275e-29 0x1.e10000000000000000000000000p-95
ulp : 1924.0000
max.ulp : 4.0000
Failure: Test: cospi_upward (-0x3.fffffffffffffffcp+108)
Result:
is: 9.99999999999999999999999999852323e-01 0x1.ffffffffffffffffffffffe899bp-1
should be: 1.00000000000000000000000000000000e+00 0x1.000000000000000000000000000p+0
difference: 1.47673235656615530277812119019587e-28 0x1.766568e20369c00000000000000p-93
ulp |