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Improve tgamma accuracy (bug 18613).
In non-default rounding modes, tgamma can be slightly less accurate than permitted by glibc's accuracy goals. Part of the problem is error accumulation, addressed in this patch by setting round-to-nearest for internal computations. However, there was also a bug in the code dealing with computing pow (x + n, x + n) where x + n is not exactly representable, providing another source of error even in round-to-nearest mode; it was necessary to address both bugs to get errors for all testcases within glibc's accuracy goals. Given this second fix, accuracy in round-to-nearest mode is also improved (hence regeneration of ulps for tgamma should be from scratch - truncate libm-test-ulps or at least remove existing tgamma entries - so that the expected ulps can be reduced). Some additional complications also arose. Certain tgamma tests should strictly, according to IEEE semantics, overflow or not depending on the rounding mode; this is beyond the scope of glibc's accuracy goals for any function without exactly-determined results, but gen-auto-libm-tests doesn't handle being lax there as it does for underflow. (libm-test.inc also doesn't handle being lax about whether the result in cases very close to the overflow threshold is infinity or a finite value close to overflow, but that doesn't cause problems in this case though I've seen it cause problems with random test generation for some functions.) Thus, spurious-overflow markings, with a comment, are added to auto-libm-test-in (no bug in Bugzilla because the issue is with the testsuite, not a user-visible bug in glibc). And on x86, after the patch I saw ERANGE issues as previously reported by Carlos (see my commentary in <https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html>), which needed addressing by ensuring excess range and precision were eliminated at various points if FLT_EVAL_METHOD != 0. I also noticed and fixed a cosmetic issue where 1.0f was used in long double functions and should have been 1.0L. This completes the move of all functions to testing in all rounding modes with ALL_RM_TEST, so gen-libm-have-vector-test.sh is updated to remove the workaround for some functions not using ALL_RM_TEST. Tested for x86_64, x86, mips64 and powerpc. [BZ #18613] * sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gamma_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. * sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammaf_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * math/libm-test.inc (tgamma_test_data): Remove one test. Moved to auto-libm-test-in. (tgamma_test): Use ALL_RM_TEST. * math/auto-libm-test-in: Add one test of tgamma. Mark some other tests of tgamma with spurious-overflow. * math/auto-libm-test-out: Regenerated. * math/gen-libm-have-vector-test.sh: Do not check for START. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
This commit is contained in:
Joseph Myers
parent
4aa10d01b6
commit
e02920bc02
36
ChangeLog
36
ChangeLog
@ -1,5 +1,41 @@
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2015-06-29 Joseph Myers <joseph@codesourcery.com>
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[BZ #18613]
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* sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Take log of
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X_ADJ not X when adjusting exponent.
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(__ieee754_gamma_r): Do intermediate computations in
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round-to-nearest then adjust overflowing and underflowing results
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as needed.
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* sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Take log
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of X_ADJ not X when adjusting exponent.
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(__ieee754_gammaf_r): Do intermediate computations in
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round-to-nearest then adjust overflowing and underflowing results
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as needed.
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* sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Take
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log of X_ADJ not X when adjusting exponent.
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(__ieee754_gammal_r): Do intermediate computations in
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round-to-nearest then adjust overflowing and underflowing results
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as needed. Use 1.0L not 1.0f as numerator of division.
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* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Take
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log of X_ADJ not X when adjusting exponent.
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(__ieee754_gammal_r): Do intermediate computations in
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round-to-nearest then adjust overflowing and underflowing results
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as needed. Use 1.0L not 1.0f as numerator of division.
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* sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Take log
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of X_ADJ not X when adjusting exponent.
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(__ieee754_gammal_r): Do intermediate computations in
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round-to-nearest then adjust overflowing and underflowing results
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as needed. Use 1.0L not 1.0f as numerator of division.
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* math/libm-test.inc (tgamma_test_data): Remove one test. Moved
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to auto-libm-test-in.
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(tgamma_test): Use ALL_RM_TEST.
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* math/auto-libm-test-in: Add one test of tgamma. Mark some other
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tests of tgamma with spurious-overflow.
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* math/auto-libm-test-out: Regenerated.
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* math/gen-libm-have-vector-test.sh: Do not check for START.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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[BZ #18612]
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* sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): For small
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arguments, just return 0.5 times the argument, with underflow
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2
NEWS
2
NEWS
@ -25,7 +25,7 @@ Version 2.22
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18497, 18498, 18502, 18507, 18512, 18513, 18519, 18520, 18522, 18527,
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18528, 18529, 18530, 18532, 18533, 18534, 18536, 18539, 18540, 18542,
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18544, 18545, 18546, 18547, 18549, 18553, 18558, 18569, 18583, 18585,
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18586, 18593, 18594, 18602, 18612.
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18586, 18593, 18594, 18602, 18612, 18613.
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* Cache information can be queried via sysconf() function on s390 e.g. with
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_SC_LEVEL1_ICACHE_SIZE as argument.
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@ -2682,19 +2682,22 @@ tgamma 0x1p-113
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tgamma -0x1p-113
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tgamma 0x1p-127
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tgamma -0x1p-127
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tgamma 0x1p-128
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# IEEE semantics mean overflow very close to the threshold depends on
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# the rounding mode; gen-auto-libm-tests does not reflect that glibc
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# does not try to achieve this.
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tgamma 0x1p-128 spurious-overflow:flt-32
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tgamma -0x1p-128
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tgamma 0x1p-149
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tgamma -0x1p-149
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tgamma 0x1p-1023
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tgamma -0x1p-1023
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tgamma 0x1p-1024
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tgamma 0x1p-1024 spurious-overflow:dbl-64 spurious-overflow:ldbl-128ibm
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tgamma -0x1p-1024
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tgamma 0x1p-1074
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tgamma -0x1p-1074
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tgamma 0x1p-16383
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tgamma -0x1p-16383
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tgamma 0x1p-16384
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tgamma 0x1p-16384 spurious-overflow:ldbl-96-intel spurious-overflow:ldbl-96-m68k spurious-overflow:ldbl-128
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tgamma -0x1p-16384
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tgamma 0x1p-16445
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tgamma -0x1p-16445
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@ -3075,6 +3078,7 @@ tgamma 0x6.db8c603359a971081bc4a2e9dfdp+8
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tgamma 0x6.db8c603359a971081bc4a2e9dfd4p+8
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tgamma 1e3
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tgamma -100000.5
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tgamma max
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tgamma -0x3.06644cp+0
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tgamma -0x6.fe4636e0c5064p+0
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@ -197134,31 +197134,31 @@ tgamma -0x1p-127
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= tgamma tonearest ldbl-128ibm -0x2p-128L : -0x8p+124L : inexact-ok
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= tgamma towardzero ldbl-128ibm -0x2p-128L : -0x8p+124L : inexact-ok
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= tgamma upward ldbl-128ibm -0x2p-128L : -0x8p+124L : inexact-ok
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tgamma 0x1p-128
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= tgamma downward flt-32 0x1p-128f : 0xf.fffffp+124f : inexact-ok
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tgamma 0x1p-128 spurious-overflow:flt-32
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= tgamma downward flt-32 0x1p-128f : 0xf.fffffp+124f : inexact-ok overflow-ok:flt-32
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= tgamma tonearest flt-32 0x1p-128f : plus_infty : inexact-ok overflow errno-erange
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= tgamma towardzero flt-32 0x1p-128f : 0xf.fffffp+124f : inexact-ok
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= tgamma towardzero flt-32 0x1p-128f : 0xf.fffffp+124f : inexact-ok overflow-ok:flt-32
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= tgamma upward flt-32 0x1p-128f : plus_infty : inexact-ok overflow errno-erange
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= tgamma downward dbl-64 0x1p-128 : 0xf.ffffffffffff8p+124 : inexact-ok
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= tgamma tonearest dbl-64 0x1p-128 : 0x1p+128 : inexact-ok
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= tgamma towardzero dbl-64 0x1p-128 : 0xf.ffffffffffff8p+124 : inexact-ok
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= tgamma upward dbl-64 0x1p-128 : 0x1p+128 : inexact-ok
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= tgamma downward ldbl-96-intel 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok
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= tgamma tonearest ldbl-96-intel 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma towardzero ldbl-96-intel 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok
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= tgamma upward ldbl-96-intel 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma downward ldbl-96-m68k 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok
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= tgamma tonearest ldbl-96-m68k 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma towardzero ldbl-96-m68k 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok
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= tgamma upward ldbl-96-m68k 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma downward ldbl-128 0x1p-128L : 0xf.fffffffffffffffffffffffffff8p+124L : inexact-ok
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= tgamma tonearest ldbl-128 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma towardzero ldbl-128 0x1p-128L : 0xf.fffffffffffffffffffffffffff8p+124L : inexact-ok
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= tgamma upward ldbl-128 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma downward ldbl-128ibm 0x1p-128L : 0xf.fffffffffffffffffffffffffcp+124L : inexact-ok
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= tgamma tonearest ldbl-128ibm 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma towardzero ldbl-128ibm 0x1p-128L : 0xf.fffffffffffffffffffffffffcp+124L : inexact-ok
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= tgamma upward ldbl-128ibm 0x1p-128L : 0x1p+128L : inexact-ok
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= tgamma downward dbl-64 0x1p-128 : 0xf.ffffffffffff8p+124 : inexact-ok overflow-ok:flt-32
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= tgamma tonearest dbl-64 0x1p-128 : 0x1p+128 : inexact-ok overflow-ok:flt-32
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= tgamma towardzero dbl-64 0x1p-128 : 0xf.ffffffffffff8p+124 : inexact-ok overflow-ok:flt-32
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= tgamma upward dbl-64 0x1p-128 : 0x1p+128 : inexact-ok overflow-ok:flt-32
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= tgamma downward ldbl-96-intel 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok overflow-ok:flt-32
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= tgamma tonearest ldbl-96-intel 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma towardzero ldbl-96-intel 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok overflow-ok:flt-32
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= tgamma upward ldbl-96-intel 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma downward ldbl-96-m68k 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok overflow-ok:flt-32
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= tgamma tonearest ldbl-96-m68k 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma towardzero ldbl-96-m68k 0x1p-128L : 0xf.fffffffffffffffp+124L : inexact-ok overflow-ok:flt-32
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= tgamma upward ldbl-96-m68k 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma downward ldbl-128 0x1p-128L : 0xf.fffffffffffffffffffffffffff8p+124L : inexact-ok overflow-ok:flt-32
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= tgamma tonearest ldbl-128 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma towardzero ldbl-128 0x1p-128L : 0xf.fffffffffffffffffffffffffff8p+124L : inexact-ok overflow-ok:flt-32
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= tgamma upward ldbl-128 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma downward ldbl-128ibm 0x1p-128L : 0xf.fffffffffffffffffffffffffcp+124L : inexact-ok overflow-ok:flt-32
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= tgamma tonearest ldbl-128ibm 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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= tgamma towardzero ldbl-128ibm 0x1p-128L : 0xf.fffffffffffffffffffffffffcp+124L : inexact-ok overflow-ok:flt-32
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= tgamma upward ldbl-128ibm 0x1p-128L : 0x1p+128L : inexact-ok overflow-ok:flt-32
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tgamma -0x1p-128
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= tgamma downward flt-32 -0x1p-128f : minus_infty : inexact-ok overflow errno-erange
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= tgamma tonearest flt-32 -0x1p-128f : minus_infty : inexact-ok overflow errno-erange
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@ -197324,47 +197324,47 @@ tgamma -0x1p-1023
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= tgamma tonearest ldbl-128ibm -0x2p-1024L : -0x8p+1020L : inexact-ok
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= tgamma towardzero ldbl-128ibm -0x2p-1024L : -0x8p+1020L : inexact-ok
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= tgamma upward ldbl-128ibm -0x2p-1024L : -0x8p+1020L : inexact-ok
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tgamma 0x1p-1024
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tgamma 0x1p-1024 spurious-overflow:dbl-64 spurious-overflow:ldbl-128ibm
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= tgamma downward flt-32 0x8p-152f : 0xf.fffffp+124f : inexact-ok overflow errno-erange-ok
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= tgamma tonearest flt-32 0x8p-152f : plus_infty : inexact-ok overflow errno-erange
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= tgamma towardzero flt-32 0x8p-152f : 0xf.fffffp+124f : inexact-ok overflow errno-erange-ok
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= tgamma upward flt-32 0x8p-152f : plus_infty : inexact-ok overflow errno-erange
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= tgamma downward dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok
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= tgamma tonearest dbl-64 0x8p-152 : 0x2p+148 : inexact-ok
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= tgamma towardzero dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok
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= tgamma upward dbl-64 0x8p-152 : 0x2p+148 : inexact-ok
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= tgamma downward ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
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= tgamma tonearest ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma towardzero ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
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= tgamma upward ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma downward ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
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= tgamma tonearest ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma towardzero ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
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= tgamma upward ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma downward ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok
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= tgamma tonearest ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma towardzero ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok
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= tgamma upward ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma downward ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok
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= tgamma tonearest ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma towardzero ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok
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= tgamma upward ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok
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= tgamma downward dbl-64 0x1p-1024 : 0xf.ffffffffffff8p+1020 : inexact-ok
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= tgamma downward dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma tonearest dbl-64 0x8p-152 : 0x2p+148 : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma towardzero dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma upward dbl-64 0x8p-152 : 0x2p+148 : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma downward ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma tonearest ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma towardzero ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma upward ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma downward ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma tonearest ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma towardzero ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma upward ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma downward ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma tonearest ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma towardzero ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma upward ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma downward ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma tonearest ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma towardzero ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma upward ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma downward dbl-64 0x1p-1024 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
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= tgamma tonearest dbl-64 0x1p-1024 : plus_infty : inexact-ok overflow errno-erange
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= tgamma towardzero dbl-64 0x1p-1024 : 0xf.ffffffffffff8p+1020 : inexact-ok
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= tgamma towardzero dbl-64 0x1p-1024 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma upward dbl-64 0x1p-1024 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-intel 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok
|
||||
= tgamma tonearest ldbl-96-intel 0x1p-1024L : 0x1p+1024L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-intel 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok
|
||||
= tgamma upward ldbl-96-intel 0x1p-1024L : 0x1p+1024L : inexact-ok
|
||||
= tgamma downward ldbl-96-m68k 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok
|
||||
= tgamma tonearest ldbl-96-m68k 0x1p-1024L : 0x1p+1024L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-m68k 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok
|
||||
= tgamma upward ldbl-96-m68k 0x1p-1024L : 0x1p+1024L : inexact-ok
|
||||
= tgamma downward ldbl-128 0x1p-1024L : 0xf.fffffffffffffffffffffffffff8p+1020L : inexact-ok
|
||||
= tgamma tonearest ldbl-128 0x1p-1024L : 0x1p+1024L : inexact-ok
|
||||
= tgamma towardzero ldbl-128 0x1p-1024L : 0xf.fffffffffffffffffffffffffff8p+1020L : inexact-ok
|
||||
= tgamma upward ldbl-128 0x1p-1024L : 0x1p+1024L : inexact-ok
|
||||
= tgamma downward ldbl-96-intel 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma tonearest ldbl-96-intel 0x1p-1024L : 0x1p+1024L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma towardzero ldbl-96-intel 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma upward ldbl-96-intel 0x1p-1024L : 0x1p+1024L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma downward ldbl-96-m68k 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma tonearest ldbl-96-m68k 0x1p-1024L : 0x1p+1024L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma towardzero ldbl-96-m68k 0x1p-1024L : 0xf.fffffffffffffffp+1020L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma upward ldbl-96-m68k 0x1p-1024L : 0x1p+1024L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma downward ldbl-128 0x1p-1024L : 0xf.fffffffffffffffffffffffffff8p+1020L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma tonearest ldbl-128 0x1p-1024L : 0x1p+1024L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma towardzero ldbl-128 0x1p-1024L : 0xf.fffffffffffffffffffffffffff8p+1020L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma upward ldbl-128 0x1p-1024L : 0x1p+1024L : inexact-ok overflow-ok:dbl-64 overflow-ok:ldbl-128ibm
|
||||
= tgamma downward ldbl-128ibm 0x1p-1024L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128ibm 0x1p-1024L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128ibm 0x1p-1024L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
@ -197618,62 +197618,62 @@ tgamma -0x1p-16383
|
||||
= tgamma tonearest ldbl-128 -0x2p-16384L : -0x8p+16380L : inexact-ok
|
||||
= tgamma towardzero ldbl-128 -0x2p-16384L : -0x8p+16380L : inexact-ok
|
||||
= tgamma upward ldbl-128 -0x2p-16384L : -0x8p+16380L : inexact-ok
|
||||
tgamma 0x1p-16384
|
||||
tgamma 0x1p-16384 spurious-overflow:ldbl-96-intel spurious-overflow:ldbl-96-m68k spurious-overflow:ldbl-128
|
||||
= tgamma downward flt-32 0x8p-152f : 0xf.fffffp+124f : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest flt-32 0x8p-152f : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero flt-32 0x8p-152f : 0xf.fffffp+124f : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward flt-32 0x8p-152f : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok
|
||||
= tgamma tonearest dbl-64 0x8p-152 : 0x2p+148 : inexact-ok
|
||||
= tgamma towardzero dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok
|
||||
= tgamma upward dbl-64 0x8p-152 : 0x2p+148 : inexact-ok
|
||||
= tgamma downward ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
|
||||
= tgamma tonearest ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
|
||||
= tgamma upward ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma downward ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
|
||||
= tgamma tonearest ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok
|
||||
= tgamma upward ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma downward ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok
|
||||
= tgamma tonearest ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma towardzero ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok
|
||||
= tgamma upward ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma downward ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok
|
||||
= tgamma tonearest ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma towardzero ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok
|
||||
= tgamma upward ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok
|
||||
= tgamma downward dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest dbl-64 0x8p-152 : 0x2p+148 : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero dbl-64 0x8p-152 : 0x1.fffffffffffffp+148 : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward dbl-64 0x8p-152 : 0x2p+148 : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-96-intel 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-96-intel 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-96-m68k 0x8p-152L : 0x1.fffffffffffffffep+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-96-m68k 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-128 0x8p-152L : 0x1.ffffffffffffffffffffffffffffp+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-128 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-128ibm 0x8p-152L : 0x1.ffffffffffffffffffffffffff8p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-128ibm 0x8p-152L : 0x2p+148L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward dbl-64 0x4p-1076 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest dbl-64 0x4p-1076 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero dbl-64 0x4p-1076 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward dbl-64 0x4p-1076 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-intel 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok
|
||||
= tgamma tonearest ldbl-96-intel 0x4p-1076L : 0x4p+1072L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-intel 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok
|
||||
= tgamma upward ldbl-96-intel 0x4p-1076L : 0x4p+1072L : inexact-ok
|
||||
= tgamma downward ldbl-96-m68k 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok
|
||||
= tgamma tonearest ldbl-96-m68k 0x4p-1076L : 0x4p+1072L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-m68k 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok
|
||||
= tgamma upward ldbl-96-m68k 0x4p-1076L : 0x4p+1072L : inexact-ok
|
||||
= tgamma downward ldbl-128 0x4p-1076L : 0x3.fffffffffffffffffffffffffffep+1072L : inexact-ok
|
||||
= tgamma tonearest ldbl-128 0x4p-1076L : 0x4p+1072L : inexact-ok
|
||||
= tgamma towardzero ldbl-128 0x4p-1076L : 0x3.fffffffffffffffffffffffffffep+1072L : inexact-ok
|
||||
= tgamma upward ldbl-128 0x4p-1076L : 0x4p+1072L : inexact-ok
|
||||
= tgamma downward ldbl-96-intel 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-96-intel 0x4p-1076L : 0x4p+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-96-intel 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-96-intel 0x4p-1076L : 0x4p+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-96-m68k 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-96-m68k 0x4p-1076L : 0x4p+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-96-m68k 0x4p-1076L : 0x3.fffffffffffffffcp+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-96-m68k 0x4p-1076L : 0x4p+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-128 0x4p-1076L : 0x3.fffffffffffffffffffffffffffep+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-128 0x4p-1076L : 0x4p+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma towardzero ldbl-128 0x4p-1076L : 0x3.fffffffffffffffffffffffffffep+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-128 0x4p-1076L : 0x4p+1072L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma downward ldbl-128ibm 0x4p-1076L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128ibm 0x4p-1076L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128ibm 0x4p-1076L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128ibm 0x4p-1076L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-intel 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok
|
||||
= tgamma downward ldbl-96-intel 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-96-intel 0x1p-16384L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-intel 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-intel 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-96-intel 0x1p-16384L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-m68k 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok
|
||||
= tgamma downward ldbl-96-m68k 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-96-m68k 0x1p-16384L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-m68k 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok
|
||||
= tgamma towardzero ldbl-96-m68k 0x1p-16384L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-96-m68k 0x1p-16384L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128 0x1p-16384L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok
|
||||
= tgamma downward ldbl-128 0x1p-16384L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma tonearest ldbl-128 0x1p-16384L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128 0x1p-16384L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok
|
||||
= tgamma towardzero ldbl-128 0x1p-16384L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow-ok:ldbl-96-intel overflow-ok:ldbl-96-m68k overflow-ok:ldbl-128
|
||||
= tgamma upward ldbl-128 0x1p-16384L : plus_infty : inexact-ok overflow errno-erange
|
||||
tgamma -0x1p-16384
|
||||
= tgamma downward flt-32 -0x8p-152f : minus_infty : inexact-ok overflow errno-erange
|
||||
@ -221443,6 +221443,75 @@ tgamma -100000.5
|
||||
= tgamma tonearest ldbl-128ibm -0x1.86a08p+16L : -0x0p+0L : inexact-ok underflow errno-erange
|
||||
= tgamma towardzero ldbl-128ibm -0x1.86a08p+16L : -0x0p+0L : inexact-ok underflow errno-erange
|
||||
= tgamma upward ldbl-128ibm -0x1.86a08p+16L : -0x0p+0L : inexact-ok underflow errno-erange
|
||||
tgamma max
|
||||
= tgamma downward flt-32 0xf.fffffp+124f : 0xf.fffffp+124f : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest flt-32 0xf.fffffp+124f : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero flt-32 0xf.fffffp+124f : 0xf.fffffp+124f : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward flt-32 0xf.fffffp+124f : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward dbl-64 0xf.fffffp+124 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest dbl-64 0xf.fffffp+124 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero dbl-64 0xf.fffffp+124 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward dbl-64 0xf.fffffp+124 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-intel 0xf.fffffp+124L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-96-intel 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-intel 0xf.fffffp+124L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-96-intel 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-m68k 0xf.fffffp+124L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-96-m68k 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-m68k 0xf.fffffp+124L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-96-m68k 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128 0xf.fffffp+124L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128 0xf.fffffp+124L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128ibm 0xf.fffffp+124L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128ibm 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128ibm 0xf.fffffp+124L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128ibm 0xf.fffffp+124L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward dbl-64 0xf.ffffffffffff8p+1020 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest dbl-64 0xf.ffffffffffff8p+1020 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero dbl-64 0xf.ffffffffffff8p+1020 : 0xf.ffffffffffff8p+1020 : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward dbl-64 0xf.ffffffffffff8p+1020 : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-intel 0xf.ffffffffffff8p+1020L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-96-intel 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-intel 0xf.ffffffffffff8p+1020L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-96-intel 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-m68k 0xf.ffffffffffff8p+1020L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-96-m68k 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-m68k 0xf.ffffffffffff8p+1020L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-96-m68k 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128 0xf.ffffffffffff8p+1020L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128 0xf.ffffffffffff8p+1020L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128ibm 0xf.ffffffffffff8p+1020L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128ibm 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128ibm 0xf.ffffffffffff8p+1020L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128ibm 0xf.ffffffffffff8p+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-intel 0xf.fffffffffffffffp+16380L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-96-intel 0xf.fffffffffffffffp+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-intel 0xf.fffffffffffffffp+16380L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-96-intel 0xf.fffffffffffffffp+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-96-m68k 0xf.fffffffffffffffp+16380L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-96-m68k 0xf.fffffffffffffffp+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-96-m68k 0xf.fffffffffffffffp+16380L : 0xf.fffffffffffffffp+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-96-m68k 0xf.fffffffffffffffp+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128 0xf.fffffffffffffffp+16380L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128 0xf.fffffffffffffffp+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128 0xf.fffffffffffffffp+16380L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128 0xf.fffffffffffffffp+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128 0xf.fffffffffffffffffffffffffff8p+16380L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128 0xf.fffffffffffffffffffffffffff8p+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128 0xf.fffffffffffffffffffffffffff8p+16380L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128 0xf.fffffffffffffffffffffffffff8p+16380L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128 0xf.ffffffffffffbffffffffffffcp+1020L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128 0xf.ffffffffffffbffffffffffffcp+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128 0xf.ffffffffffffbffffffffffffcp+1020L : 0xf.fffffffffffffffffffffffffff8p+16380L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128 0xf.ffffffffffffbffffffffffffcp+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma downward ldbl-128ibm 0xf.ffffffffffffbffffffffffffcp+1020L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma tonearest ldbl-128ibm 0xf.ffffffffffffbffffffffffffcp+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
= tgamma towardzero ldbl-128ibm 0xf.ffffffffffffbffffffffffffcp+1020L : 0xf.ffffffffffffbffffffffffffcp+1020L : inexact-ok overflow errno-erange-ok
|
||||
= tgamma upward ldbl-128ibm 0xf.ffffffffffffbffffffffffffcp+1020L : plus_infty : inexact-ok overflow errno-erange
|
||||
tgamma -0x3.06644cp+0
|
||||
= tgamma downward flt-32 -0x3.06644cp+0f : 0x6.79a69p+0f : inexact-ok
|
||||
= tgamma tonearest flt-32 -0x3.06644cp+0f : 0x6.79a698p+0f : inexact-ok
|
||||
|
||||
@ -50,11 +50,3 @@ for func in $(cat libm-test.inc | grep ALL_RM_TEST | grep RUN_TEST_LOOP_fFF_11 |
|
||||
print_defs ${func}f "_fFF"
|
||||
print_defs ${func}l "_fFF"
|
||||
done
|
||||
|
||||
# When all functions will use ALL_RM_TEST instead of using START directly,
|
||||
# this code can be removed.
|
||||
for func in $(grep 'START.*;$' libm-test.inc | sed -r "s/.*\(//; s/,.*//"); do
|
||||
print_defs ${func}
|
||||
print_defs ${func}f
|
||||
print_defs ${func}l
|
||||
done
|
||||
|
||||
@ -9484,7 +9484,6 @@ tanh_test (void)
|
||||
static const struct test_f_f_data tgamma_test_data[] =
|
||||
{
|
||||
TEST_f_f (tgamma, plus_infty, plus_infty),
|
||||
TEST_f_f (tgamma, max_value, plus_infty, OVERFLOW_EXCEPTION|ERRNO_ERANGE),
|
||||
TEST_f_f (tgamma, 0, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
|
||||
TEST_f_f (tgamma, minus_zero, minus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
|
||||
/* tgamma (x) == qNaN plus invalid exception for integer x <= 0. */
|
||||
@ -9499,9 +9498,7 @@ static const struct test_f_f_data tgamma_test_data[] =
|
||||
static void
|
||||
tgamma_test (void)
|
||||
{
|
||||
START (tgamma,, 0);
|
||||
RUN_TEST_LOOP_f_f (tgamma, tgamma_test_data, );
|
||||
END;
|
||||
ALL_RM_TEST (tgamma, 0, tgamma_test_data, RUN_TEST_LOOP_f_f, END);
|
||||
}
|
||||
|
||||
|
||||
|
||||
@ -1932,12 +1932,36 @@ ildouble: 5
|
||||
ldouble: 4
|
||||
|
||||
Function: "tgamma":
|
||||
double: 6
|
||||
float: 4
|
||||
idouble: 6
|
||||
ifloat: 4
|
||||
ildouble: 6
|
||||
ldouble: 6
|
||||
double: 2
|
||||
float: 3
|
||||
idouble: 2
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "tgamma_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
idouble: 2
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "tgamma_towardzero":
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "tgamma_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "y0":
|
||||
double: 1
|
||||
|
||||
@ -104,7 +104,7 @@ gamma_positive (double x, int *exp2_adj)
|
||||
* __ieee754_exp (-x_adj)
|
||||
* __ieee754_sqrt (2 * M_PI / x_adj)
|
||||
/ prod);
|
||||
exp_adj += x_eps * __ieee754_log (x);
|
||||
exp_adj += x_eps * __ieee754_log (x_adj);
|
||||
double bsum = gamma_coeff[NCOEFF - 1];
|
||||
double x_adj2 = x_adj * x_adj;
|
||||
for (size_t i = 1; i <= NCOEFF - 1; i++)
|
||||
@ -119,6 +119,10 @@ __ieee754_gamma_r (double x, int *signgamp)
|
||||
{
|
||||
int32_t hx;
|
||||
u_int32_t lx;
|
||||
#if FLT_EVAL_METHOD != 0
|
||||
volatile
|
||||
#endif
|
||||
double ret;
|
||||
|
||||
EXTRACT_WORDS (hx, lx, x);
|
||||
|
||||
@ -153,36 +157,69 @@ __ieee754_gamma_r (double x, int *signgamp)
|
||||
{
|
||||
/* Overflow. */
|
||||
*signgamp = 0;
|
||||
return DBL_MAX * DBL_MAX;
|
||||
}
|
||||
else if (x > 0.0)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
double ret = gamma_positive (x, &exp2_adj);
|
||||
return __scalbn (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -DBL_EPSILON / 4.0)
|
||||
{
|
||||
*signgamp = 0;
|
||||
return 1.0 / x;
|
||||
ret = DBL_MAX * DBL_MAX;
|
||||
return ret;
|
||||
}
|
||||
else
|
||||
{
|
||||
double tx = __trunc (x);
|
||||
*signgamp = (tx == 2.0 * __trunc (tx / 2.0)) ? -1 : 1;
|
||||
if (x <= -184.0)
|
||||
/* Underflow. */
|
||||
return DBL_MIN * DBL_MIN;
|
||||
double frac = tx - x;
|
||||
if (frac > 0.5)
|
||||
frac = 1.0 - frac;
|
||||
double sinpix = (frac <= 0.25
|
||||
? __sin (M_PI * frac)
|
||||
: __cos (M_PI * (0.5 - frac)));
|
||||
int exp2_adj;
|
||||
double ret = M_PI / (-x * sinpix * gamma_positive (-x, &exp2_adj));
|
||||
return __scalbn (ret, -exp2_adj);
|
||||
SET_RESTORE_ROUND (FE_TONEAREST);
|
||||
if (x > 0.0)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
double tret = gamma_positive (x, &exp2_adj);
|
||||
ret = __scalbn (tret, exp2_adj);
|
||||
}
|
||||
else if (x >= -DBL_EPSILON / 4.0)
|
||||
{
|
||||
*signgamp = 0;
|
||||
ret = 1.0 / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
double tx = __trunc (x);
|
||||
*signgamp = (tx == 2.0 * __trunc (tx / 2.0)) ? -1 : 1;
|
||||
if (x <= -184.0)
|
||||
/* Underflow. */
|
||||
ret = DBL_MIN * DBL_MIN;
|
||||
else
|
||||
{
|
||||
double frac = tx - x;
|
||||
if (frac > 0.5)
|
||||
frac = 1.0 - frac;
|
||||
double sinpix = (frac <= 0.25
|
||||
? __sin (M_PI * frac)
|
||||
: __cos (M_PI * (0.5 - frac)));
|
||||
int exp2_adj;
|
||||
double tret = M_PI / (-x * sinpix
|
||||
* gamma_positive (-x, &exp2_adj));
|
||||
ret = __scalbn (tret, -exp2_adj);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (isinf (ret) && x != 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
{
|
||||
ret = -__copysign (DBL_MAX, ret) * DBL_MAX;
|
||||
ret = -ret;
|
||||
}
|
||||
else
|
||||
ret = __copysign (DBL_MAX, ret) * DBL_MAX;
|
||||
return ret;
|
||||
}
|
||||
else if (ret == 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
{
|
||||
ret = -__copysign (DBL_MIN, ret) * DBL_MIN;
|
||||
ret = -ret;
|
||||
}
|
||||
else
|
||||
ret = __copysign (DBL_MIN, ret) * DBL_MIN;
|
||||
return ret;
|
||||
}
|
||||
else
|
||||
return ret;
|
||||
}
|
||||
strong_alias (__ieee754_gamma_r, __gamma_r_finite)
|
||||
|
||||
@ -97,7 +97,7 @@ gammaf_positive (float x, int *exp2_adj)
|
||||
* __ieee754_expf (-x_adj)
|
||||
* __ieee754_sqrtf (2 * (float) M_PI / x_adj)
|
||||
/ prod);
|
||||
exp_adj += x_eps * __ieee754_logf (x);
|
||||
exp_adj += x_eps * __ieee754_logf (x_adj);
|
||||
float bsum = gamma_coeff[NCOEFF - 1];
|
||||
float x_adj2 = x_adj * x_adj;
|
||||
for (size_t i = 1; i <= NCOEFF - 1; i++)
|
||||
@ -111,6 +111,10 @@ float
|
||||
__ieee754_gammaf_r (float x, int *signgamp)
|
||||
{
|
||||
int32_t hx;
|
||||
#if FLT_EVAL_METHOD != 0
|
||||
volatile
|
||||
#endif
|
||||
float ret;
|
||||
|
||||
GET_FLOAT_WORD (hx, x);
|
||||
|
||||
@ -145,37 +149,69 @@ __ieee754_gammaf_r (float x, int *signgamp)
|
||||
{
|
||||
/* Overflow. */
|
||||
*signgamp = 0;
|
||||
return FLT_MAX * FLT_MAX;
|
||||
}
|
||||
else if (x > 0.0f)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
float ret = gammaf_positive (x, &exp2_adj);
|
||||
return __scalbnf (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -FLT_EPSILON / 4.0f)
|
||||
{
|
||||
*signgamp = 0;
|
||||
return 1.0f / x;
|
||||
ret = FLT_MAX * FLT_MAX;
|
||||
return ret;
|
||||
}
|
||||
else
|
||||
{
|
||||
float tx = __truncf (x);
|
||||
*signgamp = (tx == 2.0f * __truncf (tx / 2.0f)) ? -1 : 1;
|
||||
if (x <= -42.0f)
|
||||
/* Underflow. */
|
||||
return FLT_MIN * FLT_MIN;
|
||||
float frac = tx - x;
|
||||
if (frac > 0.5f)
|
||||
frac = 1.0f - frac;
|
||||
float sinpix = (frac <= 0.25f
|
||||
? __sinf ((float) M_PI * frac)
|
||||
: __cosf ((float) M_PI * (0.5f - frac)));
|
||||
int exp2_adj;
|
||||
float ret = (float) M_PI / (-x * sinpix
|
||||
* gammaf_positive (-x, &exp2_adj));
|
||||
return __scalbnf (ret, -exp2_adj);
|
||||
SET_RESTORE_ROUNDF (FE_TONEAREST);
|
||||
if (x > 0.0f)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
float tret = gammaf_positive (x, &exp2_adj);
|
||||
ret = __scalbnf (tret, exp2_adj);
|
||||
}
|
||||
else if (x >= -FLT_EPSILON / 4.0f)
|
||||
{
|
||||
*signgamp = 0;
|
||||
ret = 1.0f / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
float tx = __truncf (x);
|
||||
*signgamp = (tx == 2.0f * __truncf (tx / 2.0f)) ? -1 : 1;
|
||||
if (x <= -42.0f)
|
||||
/* Underflow. */
|
||||
ret = FLT_MIN * FLT_MIN;
|
||||
else
|
||||
{
|
||||
float frac = tx - x;
|
||||
if (frac > 0.5f)
|
||||
frac = 1.0f - frac;
|
||||
float sinpix = (frac <= 0.25f
|
||||
? __sinf ((float) M_PI * frac)
|
||||
: __cosf ((float) M_PI * (0.5f - frac)));
|
||||
int exp2_adj;
|
||||
float tret = (float) M_PI / (-x * sinpix
|
||||
* gammaf_positive (-x, &exp2_adj));
|
||||
ret = __scalbnf (tret, -exp2_adj);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (isinf (ret) && x != 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
{
|
||||
ret = -__copysignf (FLT_MAX, ret) * FLT_MAX;
|
||||
ret = -ret;
|
||||
}
|
||||
else
|
||||
ret = __copysignf (FLT_MAX, ret) * FLT_MAX;
|
||||
return ret;
|
||||
}
|
||||
else if (ret == 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
{
|
||||
ret = -__copysignf (FLT_MIN, ret) * FLT_MIN;
|
||||
ret = -ret;
|
||||
}
|
||||
else
|
||||
ret = __copysignf (FLT_MIN, ret) * FLT_MIN;
|
||||
return ret;
|
||||
}
|
||||
else
|
||||
return ret;
|
||||
}
|
||||
strong_alias (__ieee754_gammaf_r, __gammaf_r_finite)
|
||||
|
||||
@ -109,7 +109,7 @@ gammal_positive (long double x, int *exp2_adj)
|
||||
* __ieee754_expl (-x_adj)
|
||||
* __ieee754_sqrtl (2 * M_PIl / x_adj)
|
||||
/ prod);
|
||||
exp_adj += x_eps * __ieee754_logl (x);
|
||||
exp_adj += x_eps * __ieee754_logl (x_adj);
|
||||
long double bsum = gamma_coeff[NCOEFF - 1];
|
||||
long double x_adj2 = x_adj * x_adj;
|
||||
for (size_t i = 1; i <= NCOEFF - 1; i++)
|
||||
@ -124,6 +124,7 @@ __ieee754_gammal_r (long double x, int *signgamp)
|
||||
{
|
||||
int64_t hx;
|
||||
u_int64_t lx;
|
||||
long double ret;
|
||||
|
||||
GET_LDOUBLE_WORDS64 (hx, lx, x);
|
||||
|
||||
@ -159,35 +160,58 @@ __ieee754_gammal_r (long double x, int *signgamp)
|
||||
*signgamp = 0;
|
||||
return LDBL_MAX * LDBL_MAX;
|
||||
}
|
||||
else if (x > 0.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
long double ret = gammal_positive (x, &exp2_adj);
|
||||
return __scalbnl (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -LDBL_EPSILON / 4.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
return 1.0f / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double tx = __truncl (x);
|
||||
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
|
||||
if (x <= -1775.0L)
|
||||
/* Underflow. */
|
||||
return LDBL_MIN * LDBL_MIN;
|
||||
long double frac = tx - x;
|
||||
if (frac > 0.5L)
|
||||
frac = 1.0L - frac;
|
||||
long double sinpix = (frac <= 0.25L
|
||||
? __sinl (M_PIl * frac)
|
||||
: __cosl (M_PIl * (0.5L - frac)));
|
||||
int exp2_adj;
|
||||
long double ret = M_PIl / (-x * sinpix
|
||||
* gammal_positive (-x, &exp2_adj));
|
||||
return __scalbnl (ret, -exp2_adj);
|
||||
SET_RESTORE_ROUNDL (FE_TONEAREST);
|
||||
if (x > 0.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
ret = gammal_positive (x, &exp2_adj);
|
||||
ret = __scalbnl (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -LDBL_EPSILON / 4.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
ret = 1.0L / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double tx = __truncl (x);
|
||||
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
|
||||
if (x <= -1775.0L)
|
||||
/* Underflow. */
|
||||
ret = LDBL_MIN * LDBL_MIN;
|
||||
else
|
||||
{
|
||||
long double frac = tx - x;
|
||||
if (frac > 0.5L)
|
||||
frac = 1.0L - frac;
|
||||
long double sinpix = (frac <= 0.25L
|
||||
? __sinl (M_PIl * frac)
|
||||
: __cosl (M_PIl * (0.5L - frac)));
|
||||
int exp2_adj;
|
||||
ret = M_PIl / (-x * sinpix
|
||||
* gammal_positive (-x, &exp2_adj));
|
||||
ret = __scalbnl (ret, -exp2_adj);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (isinf (ret) && x != 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
return -(-__copysignl (LDBL_MAX, ret) * LDBL_MAX);
|
||||
else
|
||||
return __copysignl (LDBL_MAX, ret) * LDBL_MAX;
|
||||
}
|
||||
else if (ret == 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
return -(-__copysignl (LDBL_MIN, ret) * LDBL_MIN);
|
||||
else
|
||||
return __copysignl (LDBL_MIN, ret) * LDBL_MIN;
|
||||
}
|
||||
else
|
||||
return ret;
|
||||
}
|
||||
strong_alias (__ieee754_gammal_r, __gammal_r_finite)
|
||||
|
||||
@ -108,7 +108,7 @@ gammal_positive (long double x, int *exp2_adj)
|
||||
* __ieee754_expl (-x_adj)
|
||||
* __ieee754_sqrtl (2 * M_PIl / x_adj)
|
||||
/ prod);
|
||||
exp_adj += x_eps * __ieee754_logl (x);
|
||||
exp_adj += x_eps * __ieee754_logl (x_adj);
|
||||
long double bsum = gamma_coeff[NCOEFF - 1];
|
||||
long double x_adj2 = x_adj * x_adj;
|
||||
for (size_t i = 1; i <= NCOEFF - 1; i++)
|
||||
@ -123,6 +123,7 @@ __ieee754_gammal_r (long double x, int *signgamp)
|
||||
{
|
||||
int64_t hx;
|
||||
double xhi;
|
||||
long double ret;
|
||||
|
||||
xhi = ldbl_high (x);
|
||||
EXTRACT_WORDS64 (hx, xhi);
|
||||
@ -159,35 +160,58 @@ __ieee754_gammal_r (long double x, int *signgamp)
|
||||
*signgamp = 0;
|
||||
return LDBL_MAX * LDBL_MAX;
|
||||
}
|
||||
else if (x > 0.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
long double ret = gammal_positive (x, &exp2_adj);
|
||||
return __scalbnl (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -0x1p-110L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
return 1.0f / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double tx = __truncl (x);
|
||||
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
|
||||
if (x <= -191.0L)
|
||||
/* Underflow. */
|
||||
return LDBL_MIN * LDBL_MIN;
|
||||
long double frac = tx - x;
|
||||
if (frac > 0.5L)
|
||||
frac = 1.0L - frac;
|
||||
long double sinpix = (frac <= 0.25L
|
||||
? __sinl (M_PIl * frac)
|
||||
: __cosl (M_PIl * (0.5L - frac)));
|
||||
int exp2_adj;
|
||||
long double ret = M_PIl / (-x * sinpix
|
||||
* gammal_positive (-x, &exp2_adj));
|
||||
return __scalbnl (ret, -exp2_adj);
|
||||
SET_RESTORE_ROUNDL (FE_TONEAREST);
|
||||
if (x > 0.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
ret = gammal_positive (x, &exp2_adj);
|
||||
ret = __scalbnl (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -0x1p-110L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
ret = 1.0L / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double tx = __truncl (x);
|
||||
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
|
||||
if (x <= -191.0L)
|
||||
/* Underflow. */
|
||||
ret = LDBL_MIN * LDBL_MIN;
|
||||
else
|
||||
{
|
||||
long double frac = tx - x;
|
||||
if (frac > 0.5L)
|
||||
frac = 1.0L - frac;
|
||||
long double sinpix = (frac <= 0.25L
|
||||
? __sinl (M_PIl * frac)
|
||||
: __cosl (M_PIl * (0.5L - frac)));
|
||||
int exp2_adj;
|
||||
ret = M_PIl / (-x * sinpix
|
||||
* gammal_positive (-x, &exp2_adj));
|
||||
ret = __scalbnl (ret, -exp2_adj);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (isinf (ret) && x != 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
return -(-__copysignl (LDBL_MAX, ret) * LDBL_MAX);
|
||||
else
|
||||
return __copysignl (LDBL_MAX, ret) * LDBL_MAX;
|
||||
}
|
||||
else if (ret == 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
return -(-__copysignl (LDBL_MIN, ret) * LDBL_MIN);
|
||||
else
|
||||
return __copysignl (LDBL_MIN, ret) * LDBL_MIN;
|
||||
}
|
||||
else
|
||||
return ret;
|
||||
}
|
||||
strong_alias (__ieee754_gammal_r, __gammal_r_finite)
|
||||
|
||||
@ -102,7 +102,7 @@ gammal_positive (long double x, int *exp2_adj)
|
||||
* __ieee754_expl (-x_adj)
|
||||
* __ieee754_sqrtl (2 * M_PIl / x_adj)
|
||||
/ prod);
|
||||
exp_adj += x_eps * __ieee754_logl (x);
|
||||
exp_adj += x_eps * __ieee754_logl (x_adj);
|
||||
long double bsum = gamma_coeff[NCOEFF - 1];
|
||||
long double x_adj2 = x_adj * x_adj;
|
||||
for (size_t i = 1; i <= NCOEFF - 1; i++)
|
||||
@ -116,6 +116,7 @@ long double
|
||||
__ieee754_gammal_r (long double x, int *signgamp)
|
||||
{
|
||||
u_int32_t es, hx, lx;
|
||||
long double ret;
|
||||
|
||||
GET_LDOUBLE_WORDS (es, hx, lx, x);
|
||||
|
||||
@ -151,35 +152,58 @@ __ieee754_gammal_r (long double x, int *signgamp)
|
||||
*signgamp = 0;
|
||||
return LDBL_MAX * LDBL_MAX;
|
||||
}
|
||||
else if (x > 0.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
long double ret = gammal_positive (x, &exp2_adj);
|
||||
return __scalbnl (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -LDBL_EPSILON / 4.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
return 1.0f / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double tx = __truncl (x);
|
||||
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
|
||||
if (x <= -1766.0L)
|
||||
/* Underflow. */
|
||||
return LDBL_MIN * LDBL_MIN;
|
||||
long double frac = tx - x;
|
||||
if (frac > 0.5L)
|
||||
frac = 1.0L - frac;
|
||||
long double sinpix = (frac <= 0.25L
|
||||
? __sinl (M_PIl * frac)
|
||||
: __cosl (M_PIl * (0.5L - frac)));
|
||||
int exp2_adj;
|
||||
long double ret = M_PIl / (-x * sinpix
|
||||
* gammal_positive (-x, &exp2_adj));
|
||||
return __scalbnl (ret, -exp2_adj);
|
||||
SET_RESTORE_ROUNDL (FE_TONEAREST);
|
||||
if (x > 0.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
int exp2_adj;
|
||||
ret = gammal_positive (x, &exp2_adj);
|
||||
ret = __scalbnl (ret, exp2_adj);
|
||||
}
|
||||
else if (x >= -LDBL_EPSILON / 4.0L)
|
||||
{
|
||||
*signgamp = 0;
|
||||
ret = 1.0L / x;
|
||||
}
|
||||
else
|
||||
{
|
||||
long double tx = __truncl (x);
|
||||
*signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
|
||||
if (x <= -1766.0L)
|
||||
/* Underflow. */
|
||||
ret = LDBL_MIN * LDBL_MIN;
|
||||
else
|
||||
{
|
||||
long double frac = tx - x;
|
||||
if (frac > 0.5L)
|
||||
frac = 1.0L - frac;
|
||||
long double sinpix = (frac <= 0.25L
|
||||
? __sinl (M_PIl * frac)
|
||||
: __cosl (M_PIl * (0.5L - frac)));
|
||||
int exp2_adj;
|
||||
ret = M_PIl / (-x * sinpix
|
||||
* gammal_positive (-x, &exp2_adj));
|
||||
ret = __scalbnl (ret, -exp2_adj);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (isinf (ret) && x != 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
return -(-__copysignl (LDBL_MAX, ret) * LDBL_MAX);
|
||||
else
|
||||
return __copysignl (LDBL_MAX, ret) * LDBL_MAX;
|
||||
}
|
||||
else if (ret == 0)
|
||||
{
|
||||
if (*signgamp < 0)
|
||||
return -(-__copysignl (LDBL_MIN, ret) * LDBL_MIN);
|
||||
else
|
||||
return __copysignl (LDBL_MIN, ret) * LDBL_MIN;
|
||||
}
|
||||
else
|
||||
return ret;
|
||||
}
|
||||
strong_alias (__ieee754_gammal_r, __gammal_r_finite)
|
||||
|
||||
@ -2222,12 +2222,36 @@ ildouble: 4
|
||||
ldouble: 4
|
||||
|
||||
Function: "tgamma":
|
||||
double: 9
|
||||
double: 4
|
||||
float: 5
|
||||
idouble: 9
|
||||
idouble: 4
|
||||
ifloat: 5
|
||||
ildouble: 6
|
||||
ldouble: 6
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "tgamma_downward":
|
||||
double: 4
|
||||
float: 4
|
||||
idouble: 4
|
||||
ifloat: 4
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "tgamma_towardzero":
|
||||
double: 5
|
||||
float: 5
|
||||
idouble: 5
|
||||
ifloat: 5
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "tgamma_upward":
|
||||
double: 5
|
||||
float: 5
|
||||
idouble: 5
|
||||
ifloat: 5
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "y0":
|
||||
double: 2
|
||||
|
||||
Loading…
Reference in New Issue
Block a user