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* Move csin, csinh tests to auto-libm-test-in.Joseph Myers2015-06-241-0/+50
| | | | | | | | | | | | | | | | | | This patch moves most tests of csin and csinh with finite inputs from libm-test.inc to auto-libm-test-in. The remaining two tests of each function with small arguments are not moved because moving them causes the time required by gen-auto-libm-tests to go up from under 8 seconds to over 11 minutes for me. (The current development version of MPC has had speed improvements for mpc_sin for some time, but there hasn't been a release containing those improvements yet.) Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of csin and csinh. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (csin_test_data): Remove tests moved to auto-libm-test-in. (csinh_test_data): Likewise.
* Fix csin, csinh overflow in directed rounding modes (bug 18593).Joseph Myers2015-06-241-0/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | csin and csinh can produce bad results when overflowing in directed rounding modes, because a multiplication that can overflow is followed by a possible negation. This patch fixes this by negating one of the arguments of the multiplication before the multiplication instead of negating the result. The new tests for this issue are added to auto-libm-test-in, starting use of that file for csin and csinh. The issue was found in the course of moving existing tests for csin and csinh (existing tests, by being enabled in more cases than previously, showed the issue for float and double but not for long double); that move will now be done separately. Tested for x86_64 and x86 and ulps updated accordingly. [BZ #18593] * math/s_csin.c (__csin): Negate before rather than after possibly overflowing multiplication. * math/s_csinf.c (__csinf): Likewise. * math/s_csinh.c (__csinh): Likewise. * math/s_csinhf.c (__csinhf): Likewise. * math/s_csinhl.c (__csinhl): Likewise. * math/s_csinl.c (__csinl): Likewise. * math/auto-libm-test-in: Add some tests of csin and csinh. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (csin_test_data): Use AUTO_TESTS_c_c. (csinh_test_data): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix sin, sincos missing underflows (bug 16526, bug 16538).Joseph Myers2015-06-231-0/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some sin and sincos implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, mips64 and powerpc. [BZ #16526] [BZ #16538] * sysdeps/ieee754/dbl-64/s_sin.c: Include <float.h>. (__sin): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/k_sinf.c: Include <float.h>. (__kernel_sinf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/k_sincosl.c: Include <float.h>. (__kernel_sincosl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/k_sinl.c: Include <float.h>. (__kernel_sinl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: Include <float.h>. (__kernel_sincosl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c: Include <float.h>. (__kernel_sinl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/k_sinl.c: Include <float.h>. (__kernel_sinl): Force underflow exception for arguments with small absolute value. * sysdeps/powerpc/fpu/k_sinf.c: Include <float.h>. (__kernel_sinf): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of sin and sincos. * math/auto-libm-test-out: Regenerated.
* Fix csqrt spurious underflows (bug 18371).Joseph Myers2015-06-231-0/+7
| | | | | | | | | | | | | | | | | | | | | | The csqrt implementations in glibc can cause spurious underflows in some cases as a side-effect of the scaling for large arguments (when underflow is correct for the square root of the argument that was scaled down to avoid overflow, but not for the original argument). This patch arranges to avoid the underflowing intermediate computation (eliminating a multiplication in 0.5 in the problem cases where a subsequent scaling by 2 would follow). Tested for x86_64 and x86 and ulps updated accordingly (only needed for x86). [BZ #18371] * math/s_csqrt.c (__csqrt): Avoid multiplication by 0.5 where intermediate but not final result might underflow. * math/s_csqrtf.c (__csqrtf): Likewise. * math/s_csqrtl.c (__csqrtl): Likewise. * math/auto-libm-test-in: Add more tests of csqrt. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix exp2, exp2f spurious underflows (bug 18219).Joseph Myers2015-06-231-0/+7
| | | | | | | | | | | | | | | | | | | | | The dbl-64 and flt-32 implementations of exp2 functions produce spurious underflow exceptions. The underlying reason is the same in both cases: the computation works as (2^a - 1)*2^b + 2^b for suitably chosen a and b, where a has small magnitude so 2^a - 1 can be computed with a low-degree polynomial approximation, and (2^a - 1)*2^b can underflow even when the final result does not. This patch fixes this by adjusting the threshold for when scaling is used to avoid intermediate underflow so it works for any possible value of a where the final result would not underflow. Tested for x86_64 and x86. [BZ #18219] * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Reduce threshold on absolute value of exponent for which scaling is used. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise. * math/auto-libm-test-in: Add more tests of exp2. * math/auto-libm-test-out: Regenerated.
* Fix expm1 missing underflows (bug 16353).Joseph Myers2015-06-221-6/+5
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some expm1 implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (The issue does not apply to the ldbl-* implementations or to those for x86 / x86_64 long double. The change to sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c is one I missed when previously fixing bug 16354; the bug in that implementation was previously latent, but the expm1 fixes stopped it being latent and so required it to be fixed to avoid spurious underflows from cosh.) Tested for x86_64 and x86. [BZ #16353] * sysdeps/i386/fpu/s_expm1.S (dbl_min): New object. (__expm1): Force underflow exception for arguments with small absolute value. * sysdeps/i386/fpu/s_expm1f.S (flt_min): New object. (__expm1f): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/dbl-64/s_expm1.c: Include <float.h>. (__expm1): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_expm1f.c: Include <float.h>. (__expm1f): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c (__ieee754_cosh): Check for small arguments before calling __expm1. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16353. * math/auto-libm-test-out: Regenerated.
* Fix x86_64 / x86 expm1l (-min_subnorm) result sign (bug 18569).Joseph Myers2015-06-211-0/+4
| | | | | | | | | | | | | | | | | | | | In the x86 / x86_64 implementations of expm1l, when expm1l's result should underflow to 0 (argument minus the least subnormal, in some rounding modes), it can be a zero of the wrong sign. This patch fixes this by returning the argument with underflow forced in that case (this is a 1ulp error relative to the correctly rounded result of -0, which is OK in terms of the documented accuracy goals, whereas a result with the wrong sign never is). Tested for x86_64 and x86. [BZ #18569] * sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Force underflow and return argument in case of subnormal argument. * sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Likewise. * math/auto-libm-test-in: Add more tests of expm1. * math/auto-libm-test-out: Regenerated.
* Fix x86 / x86_64 expl, exp10l missing underflows (bug 16361).Joseph Myers2015-06-211-2/+3
| | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, the x86 and x86_64 implementations of expl / exp10l can fail to produce underflow exceptions when the unscaled result has trailing 0 bits so the scaling down to subnormal precision is exact. This patch fixes this by forcing the exception in the case of tiny results. Tested for x86_64 and x86. [BZ #16361] * sysdeps/i386/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object. [!USE_AS_EXPM1L] (IEEE754_EXPL): Force underflow exception for tiny results. * sysdeps/x86_64/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object. [!USE_AS_EXPM1L] (IEEE754_EXPL): Force underflow exception for tiny results. * math/auto-libm-test-in: Add more tests of exp and exp10. Do not mark underflow exceptions as possibly missing for bug 16361. * math/auto-libm-test-out: Regenerated.
* Fix asinh missing underflows (bug 16350).Joseph Myers2015-06-181-7/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some asinh implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86 and mips64. [BZ #16350] * sysdeps/i386/fpu/s_asinh.S (__asinh): Force underflow exception for arguments with small absolute value. * sysdeps/i386/fpu/s_asinhf.S (__asinhf): Likewise. * sysdeps/i386/fpu/s_asinhl.S (__asinhl): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c: Include <float.h>. (__asinh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_asinhf.c: Include <float.h>. (__asinhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16350. * math/auto-libm-test-out: Regenerated.
* Remove stray spurious-underflow markings from cexp test.Joseph Myers2015-06-181-3/+2
| | | | | | | | | | | | I noticed that I'd left a spurious-underflow allowance behind in auto-libm-test-in for a bug that was fixed some time ago. This patch removes it. Tested for x86_64 and x86. * math/auto-libm-test-in: Remove spurious underflow allowance for tests of cexp. * math/auto-libm-test-out: Regenerated.
* Fix i386 atanhl spurious underflows (bug 18049).Joseph Myers2015-05-191-0/+5
| | | | | | | | | | | | | | | | The i386 implementation of atanhl, for small arguments, does a calculation that involves computing twice the square of the argument, resulting in spurious underflows for some arguments. This patch fixes this by just returning the argument when its exponent is below -32, with underflow being forced as needed for subnormal arguments. Tested for x86 and x86_64. [BZ #18049] * sysdeps/i386/fpu/e_atanhl.S (__ieee754_atanhl): For exponents below -32, return the argument, with underflow if subnormal. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated.
* Fix atanhl missing underflows (bug 16352).Joseph Myers2015-05-151-7/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some atanh implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (No change in this regard is needed for the i386 implementation; special handling to force underflows in these cases will only be needed there when the spurious underflows, bug 18049, get fixed.) Tested for x86_64, x86, powerpc and mips64. [BZ #16352] * sysdeps/i386/fpu/e_atanh.S (dbl_min): New object. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/e_atanhf.S (flt_min): New object. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/e_atanh.c: Include <float.h>. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/e_atanhf.c: Include <float.h>. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from atanh. * math/auto-libm-test-out: Regenerated.
* Fix tanf spurious underflows (bug 18221).Joseph Myers2015-05-151-0/+2
| | | | | | | | | | | | | | | | The flt-32 implementation of tanf produces spurious underflow exceptions for some small arguments, through computing values on the order of x^5. This patch fixes this by adjusting the threshold for returning x (or, as applicable, +/- 1/x) to 2**-13 (the next term in the power series being x^3/3). Tested for x86_64 and x86. [BZ #18221] * sysdeps/ieee754/flt-32/k_tanf.c (__kernel_tanf): Use 2**-13 not 2**-28 as threshold for returning x or +/- 1/x. * math/auto-libm-test-in: Add more tests of tan. * math/auto-libm-test-out: Regenerated.
* Fix lgammaf spurious underflows (bug 18220).Joseph Myers2015-05-151-0/+1
| | | | | | | | | | | | | | | | | The flt-32 implementation of lgammaf produces spurious underflow exceptions for some large arguments, because of calculations involving x^-2 multiplied by small constants. This patch fixes this by adjusting the threshold for a simpler computation to 2**26 (the error in the simpler computation is on the order of 0.5 * log (x), for a result on the order of x * log (x)). Tested for x86_64 and x86. [BZ #18220] * sysdeps/ieee754/flt-32/e_lgammaf_r.c (__ieee754_lgammaf_r): Use 2**26 not 2**58 as threshold for returning x * (log (x) - 1). * math/auto-libm-test-in: Add another test of lgamma. * math/auto-libm-test-out: Regenerated.
* Fix erfcf spurious underflows (bug 18217).Joseph Myers2015-05-151-0/+2
| | | | | | | | | | | | | | | | | | The flt-32 implementation of erfcf produces spurious underflow exceptions for some arguments close to 0, because of calculations squaring the argument and then multiplying by small constants. This patch fixes this by adjusting the threshold for arguments for which the result is so close to 1 that 1 - x will give the right result from 2**-56 to 2**-26. (If 1 - x * 2/sqrt(pi) were used, the errors would be on the order of x^3 and a much larger threshold could be used.) Tested for x86_64 and x86. [BZ #18217] * sysdeps/ieee754/flt-32/s_erff.c (__erfcf): Use 2**-26 not 2**-56 as threshold for returning 1 - x. * math/auto-libm-test-in: Add more tests of erfc. * math/auto-libm-test-out: Regenerated.
* Fix atanf spurious underflows (bug 18196).Joseph Myers2015-05-141-0/+1
| | | | | | | | | | | | | | | | The sysdeps/ieee754/flt-32 version of atanf produces spurious underflow exceptions for some large arguments, because of computations that compute x^-4. This patch fixes this by adjusting the threshold for large arguments (for which +/- pi/2 can just be returned, the correct result being roughly +/- pi/2 - 1/x) from 2^34 to 2^25. Tested for x86_64 and x86. [BZ #18196] * sysdeps/ieee754/flt-32/s_atanf.c (__atanf): Use 2^25 not 2^34 as threshold for large arguments. * math/auto-libm-test-in: Add another test of atan. * math/auto-libm-test-out: Regenerated.
* Fix log1p missing underflows (bug 16339).Joseph Myers2015-05-141-5/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some log1p implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (The ldbl-128ibm implementation doesn't currently need any change as it already generates this exception, albeit through code that would generate spurious exceptions in other cases; special code for this issue will only be needed there when fixing the spurious exceptions.) Tested for x86_64, x86, powerpc and mips64. [BZ #16339] * sysdeps/i386/fpu/s_log1p.S (dbl_min): New object. (__log1p): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/s_log1pf.S (flt_min): New object. (__log1pf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/s_log1p.c: Include <float.h>. (__log1p): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/s_log1pf.c: Include <float.h>. (__log1pf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/s_log1pl.c: Include <float.h>. (__log1pl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from log1p. * math/auto-libm-test-out: Regenerated.
* Add more tests of csqrt, lgamma, log10, sinh.Joseph Myers2015-05-081-0/+4
| | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of csqrt, lgamma, log10 and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of acosh, atanh, cos, csqrt, erfc, sin, sincos.Joseph Myers2015-05-061-0/+8
| | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, atanh, cos, csqrt, erfc, sin and sincos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add further tests of libm functions.Joseph Myers2015-05-051-0/+23
| | | | | | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. (This process must eventually converge, when my random test generation stops finding inputs that increase the listed ulps, except maybe for any cases uncovered where the errors exceed the maximum allowed 9ulp error and so indicate actual libm bugs needing fixing.) Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, atanh, clog, clog10, csqrt, erfc, exp2, expm1, log10, log2 and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of libm functions.Joseph Myers2015-05-021-0/+23
| | | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atan, clog, clog10, cos, csqrt, erf, erfc, exp2, lgamma, log1p, sin, sincos, tanh and tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tgamma.Joseph Myers2015-05-011-0/+4
| | | | | | | | | | | | This patch adds some randomly-generated tests of tgamma that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tanh.Joseph Myers2015-05-011-0/+10
| | | | | | | | | | | | This patch adds some randomly-generated tests of tanh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tan.Joseph Myers2015-05-011-0/+2
| | | | | | | | | | | | This patch adds some randomly-generated tests of tan that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tan. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of cos, sin, sincos.Joseph Myers2015-05-011-0/+3
| | | | | | | | | | | | This patch adds some randomly-generated tests of cos, sin and sincos that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cos, sin and sincos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add another test of pow.Joseph Myers2015-05-011-0/+1
| | | | | | | | | | | This patch adds a randomly-generated test of pow that is observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Add more tests of lgamma.Joseph Myers2015-05-011-0/+8
| | | | | | | | | | | | This patch adds some randomly-generated tests of lgamma that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of log, log10, log1p, log2.Joseph Myers2015-05-011-0/+23
| | | | | | | | | | | | | This patch adds some randomly-generated tests of log, log10, log1p and log2 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of log, log10, log2 and log1p. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of exp, exp10, exp2, expm1.Joseph Myers2015-05-011-0/+15
| | | | | | | | | | | | | This patch adds some randomly-generated tests of exp, exp10, exp2 and expm1 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of exp, exp10, exp2 and expm1. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of erf, erfc.Joseph Myers2015-05-011-0/+14
| | | | | | | | | | | | This patch adds some randomly-generated tests of erf and erfc that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of erf and erfc. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of csqrt.Joseph Myers2015-04-301-0/+14
| | | | | | | | | | | | This patch adds some randomly-generated tests of csqrt that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of csqrt. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add further tests of cosh and sinh.Joseph Myers2015-04-301-0/+5
| | | | | | | | | | | | This patch adds some further randomly-generated tests of cosh and sinh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cosh and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of clog and clog10.Joseph Myers2015-04-091-0/+16
| | | | | | | | | | | | This patch adds some randomly-generated tests of clog and clog10 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of atanh.Joseph Myers2015-04-081-0/+2
| | | | | | | | | | | | This patch adds some randomly-generated tests of atanh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of atan.Joseph Myers2015-04-081-0/+3
| | | | | | | | | | | | This patch adds some randomly-generated tests of atan that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atan. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of cbrt.Joseph Myers2015-04-081-0/+4
| | | | | | | | | | | This patch adds some randomly-generated tests of cbrt that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cbrt. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Add more tests of cabs.Joseph Myers2015-04-081-0/+6
| | | | | | | | | | | | This patch adds some randomly-generated tests of cabs that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cabs. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix dbl-64 atan2 in non-default rounding modes (bug 18210, bug 18211).Joseph Myers2015-04-081-0/+34
| | | | | | | | | | | | | | | | | | | | | | The dbl-64 implementation of atan2 does computations that expect to run in round-to-nearest mode, and in other modes the errors can accumulate to more than the maximum accepted 9ulp. This patch makes it use FE_TONEAREST internally, similar to other functions with such issues. Tests that previously produced large errors are added for atan2 and the closely related carg, clog and clog10 functions. Tested for x86_64 and x86 and ulps updated accordingly. [BZ #18210] [BZ #18211] * sysdeps/ieee754/dbl-64/e_atan2.c: Include <fenv.h>. (__ieee754_atan2): Set FE_TONEAREST mode for internal computations. * math/auto-libm-test-in: Add more tests of atan2, carg, clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix dbl-64 atan in non-default rounding modes (bug 18197).Joseph Myers2015-04-081-0/+2
| | | | | | | | | | | | | | | The dbl-64 implementation of atan does computations that expect to run in round-to-nearest mode, and in other modes the errors can accumulate to more than the maximum accepted 9ulp. This patch makes it use FE_TONEAREST internally, similar to other functions with such issues. Tested for x86_64 and x86; no ulps updates needed. [BZ #18197] * sysdeps/ieee754/dbl-64/s_atan.c: Include <fenv.h>. (atan): Set FE_TONEAREST mode for internal computations. * math/auto-libm-test-in: Add more tests of atan. * math/auto-libm-test-out: Regenerated.
* Add more tests of acosh, asinh and atanh.Joseph Myers2015-03-251-0/+20
| | | | | | | | | | | | | This patch adds some randomly-generated tests of acosh, asinh and atanh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, asinh and atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add another test of asin.Joseph Myers2015-03-251-0/+1
| | | | | | | | | | | | This patch adds a randomly-generated test of asin that is observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add another test of asin. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of asin.Joseph Myers2015-03-251-0/+4
| | | | | | | | | | | | This patch adds some randomly-generated tests of asin that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of asin. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of acos.Joseph Myers2015-03-251-0/+6
| | | | | | | | | | | | This patch adds some randomly-generated tests of acos that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of expm1.Joseph Myers2015-03-251-0/+4
| | | | | | | | | | | | This patch adds some randomly-generated tests of expm1 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of expm1. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of cosh, sinh.Joseph Myers2015-03-241-0/+11
| | | | | | | | | | | | This patch adds some randomly-generated tests of cosh and sinh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cosh and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of log2.Joseph Myers2015-03-241-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | In testing for x86_64 on an AMD processor, I observed libm test failures of the form: testing long double (without inline functions) Failure: Test: log2_downward (0x2.b7e151628aed4p+0) Result: is: 1.44269504088896356633e+00 0xb.8aa3b295c17f67600000p-3 should be: 1.44269504088896356622e+00 0xb.8aa3b295c17f67500000p-3 difference: 1.08420217248550443400e-19 0x8.00000000000000000000p-66 ulp : 1.0000 max.ulp : 0.0000 Maximal error of `log2_downward' is : 1 ulp accepted: 0 ulp These issues arise because the maximum ulps when regenerating on one processor are not the same as on another processor, so regeneration on several processors may be needed when updating libm-test-ulps to avoid failures for some users testing glibc - but such regeneration on multiple processors is inconvenient. Causes can be: on x86 and, for x86_64, for long double, variation in results of x87 instructions for transcendental operations between processors; on x86, variation in compiler excess precision between compiler versions and configurations; on any processor where the compiler may contract expressions using fused multiply-add, variation in what contraction occurs. Although it's hard to be sure libm-test-ulps covers all ulps that may be seen in any configuration for the given architecture, in practice it helps simply to add wider test coverage to make it more likely that, when testing on one processor, the ulps seen are the biggest that can be seen for that function on that processor, and hopefully they are also the biggest that can be seen for that function in other configurations for that architecture. Thus, this patch adds some tests of log2 that increase the ulps I see on x86_64 on an Intel processor, so that hopefully future from-scratch regenerations on that processor will produce ulps big enough not to have errors from testing on AMD processors. These tests were found by randomly generating inputs and seeing what produced ulps larger than those currently in libm-test-ulps. Of course such increases also improve the accuracy of the empirical table of known ulps generated from libm-test-ulps files that goes in the manual. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of log2. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add test for bug 18104.Joseph Myers2015-03-101-0/+1
| | | | | | [BZ #18104] * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated.
* Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047).Joseph Myers2015-02-271-0/+31
| | | | | | | | | | | | | | | | | | | | | | | | | The threshold in ldbl-96 atanhl for when to return the argument, 0x1p-28, is a bit too big, and that in ldbl-128ibm atanhl is much too big (the relevant condition being x^3/3 being < 0.5ulp of x), resulting in errors a bit above the limits of those considered acceptable in glibc in the ldbl-96 case, and in large errors in the ldbl-128ibm case. This patch changes those implementations to use more appropriate thresholds and adds tests around the thresholds for various formats. Tested for x86_64, x86 and powerpc. x86_64 and x86 ulps updated accordingly. [BZ #18046] [BZ #18047] * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use 0x1p-56L as threshold for just returning the argument. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use 0x1p-32L as threshold for just returning the argument. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
* Fix ldbl-128/ldbl-128ibm acosl inaccuracy (bug 18038, bug 18039).Joseph Myers2015-02-261-0/+31
| | | | | | | | | | | | | | | | | | | | | The ldbl-128 and ldbl-128ibm implementations of acosl have similar bugs, using a threshold of 0x1p-57L to determine when they just return pi/2. Since the result pi/2 - asinl (x) is roughly pi/2 - x for small x, the relevant cut-off is actually x being < 0.5ulp of 1. This patch fixes the implementations to use that cut-off and adds tests of small acos arguments. Tested for powerpc and mips64. Also tested for x86_64 and x86; no ulps updates needed. [BZ #18038] [BZ #18039] * sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only return pi/2 for arguments below 0x1p-113L. * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only return pi/2 for arguments below 0x1p-106L. * math/auto-libm-test-in: Add more tests of acos. * math/auto-libm-test-out: Regenerated.
* Fix asin missing underflows (bug 16351).Joseph Myers2015-02-261-5/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some asin implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, powerpc and mips64. [BZ #16351] * sysdeps/i386/fpu/e_asin.S (dbl_min): New object. (MO): New macro. (__ieee754_asin): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/e_asinf.S (flt_min): New object. (MO): New macro. (__ieee754_asinf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/e_asin.c: Include <float.h> and <math.h>. (__ieee754_asin): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/e_asinf.c: Include <float.h>. (__ieee754_asinf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/e_asinl.c: Include <float.h>. (__ieee754_asinl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Include <float.h>. (__ieee754_asinl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-96/e_asinl.c: Include <float.h>. (__ieee754_asinl): Force underflow exception for results with small absolute value. * sysdeps/x86_64/fpu/multiarch/e_asin.c [HAVE_FMA4_SUPPORT]: Include <math.h>. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16351. * math/auto-libm-test-out: Regenerated.
generated by cgit-pink 1.4.1 (git 2.36.1) at 2024-10-03 02:17:18 +0000