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* Fix ldbl-128ibm logbl near powers of 2 (bug 18030).Joseph Myers2015-02-261-0/+5
| | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of logbl produces incorrect results when the high part of the argument is a power of 2 and the low part a nonzero number with the opposite sign (and so the returned exponent should be 1 less than that of the high part). For example, logbl (0x1.ffffffffffffffp1L) returns 2 but should return 1. (This is similar to (fixed) bug 16740 for frexpl, and (fixed) bug 18029 for ilogbl.) This patch adds checks for that case. Tested for powerpc. [BZ #18030] * sysdeps/ieee754/ldbl-128ibm/s_logbl.c (__logbl): Adjust exponent of power of 2 down when low part has opposite sign. * math/libm-test.inc (logb_test_data): Add more tests.
* Fix ldbl-128ibm ilogbl near powers of 2 (bug 18029).Joseph Myers2015-02-261-0/+5
| | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of ilogbl produces incorrect results when the high part of the argument is a power of 2 and the low part a nonzero number with the opposite sign (and so the returned exponent should be 1 less than that of the high part). For example, ilogbl (0x1.ffffffffffffffp1L) returns 2 but should return 1. (This is similar to (fixed) bug 16740 for frexpl, and bug 18030 for logbl.) This patch adds checks for that case. Tested for powerpc. [BZ #18029] * sysdeps/ieee754/ldbl-128ibm/e_ilogbl.c (__ieee754_ilogbl): Adjust exponent of power of 2 down when low part has opposite sign. * math/libm-test.inc (ilogb_test_data): Add more tests.
* Fix x86/x86_64 scalb (qNaN, -Inf) (bug 16783).Joseph Myers2015-02-241-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various x86 / x86_64 versions of scalb / scalbf / scalbl produce spurious "invalid" exceptions for (qNaN, -Inf) arguments, because this is wrongly handled like (+/-Inf, -Inf) which *should* raise such an exception. (In fact the NaN case of the code determining whether to quietly return a zero or a NaN for second argument -Inf was accidentally dead since the code had been made to return a NaN with exception.) This patch fixes the code to do the proper test for an infinity as distinct from a NaN. (Since the existing code does nothing to distinguish qNaNs and sNaNs here, this patch doesn't either. If in future we systematically implement proper sNaN semantics following TS 18661-1:2014, there will be lots of bugs to address - Thomas found lots of issues with his patch <https://sourceware.org/ml/libc-ports/2013-04/msg00008.html> to add SNaN tests (which never went in and would now require significant reworking).) Tested for x86_64 and x86. Committed. [BZ #16783] * sysdeps/i386/fpu/e_scalb.S (__ieee754_scalb): Do not handle arguments (NaN, -Inf) the same as (+/-Inf, -Inf). * sysdeps/i386/fpu/e_scalbf.S (__ieee754_scalbf): Likewise. * sysdeps/i386/fpu/e_scalbl.S (__ieee754_scalbl): Likewise. * sysdeps/x86_64/fpu/e_scalbl.S (__ieee754_scalbl): Likewise. * math/libm-test.inc (scalb_test_data): Add more tests.
* Fix atan / atan2 missing underflows (bug 15319).Joseph Myers2015-02-181-50/+40
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 15319, missing underflows from atan / atan2 when the result of atan is very close to its small argument (or that of atan2 is very close to the ratio of its arguments, which may be an exact division). The usual approach of doing an underflowing computation if the computed result is subnormal is followed. For 32-bit x86, there are extra complications: the inline __ieee754_atan2 in bits/mathinline.h needs to be disabled for float and double because other libm functions using it generally rely on getting proper underflow exceptions from it, while the out-of-line functions have to remove excess range and precision from the underflowing result so as to return an exact 0 in the case where errno should be set for underflow to 0. (The failures I saw without that are similar to those Carlos reported for other functions, where I haven't seen a response to <https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html> confirming if my diagnosis is correct. Arguably all libm functions with float and double returns should remove excess range and precision, but that's a separate matter.) The x86_64 long double case reported in a comment in bug 15319 is not a bug (it's an argument of LDBL_MIN, and x86_64 is an after-rounding architecture so the correct IEEE result is not to raise underflow in the given rounding mode, in addition to treating the result as an exact LDBL_MIN being within the newly clarified documentation of accuracy goals). I'm presuming that the fpatan instruction can be trusted to raise appropriate exceptions when the (long double) result underflows (after rounding) and so no changes are needed for x86 / x86_64 long double functions here; empirically this is the case for the cases covered in the testsuite, on my system. Tested for x86_64, x86, powerpc and mips64. Only 32-bit x86 needs ulps updates (for the changes to inlines meaning some functions no longer get excess precision from their __ieee754_atan2* calls). [BZ #15319] * sysdeps/i386/fpu/e_atan2.S (dbl_min): New object. (MO): New macro. (__ieee754_atan2): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_atan2f.S (flt_min): New object. (MO): New macro. (__ieee754_atan2f): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/s_atan.S (dbl_min): New object. (MO): New macro. (__atan): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/s_atanf.S (flt_min): New object. (MO): New macro. (__atanf): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/ieee754/dbl-64/e_atan2.c: Include <float.h> and <math.h>. (__ieee754_atan2): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/s_atan.c: Include <float.h> and <math_private.h>. (atan): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/s_atanf.c: Include <float.h>. (__atanf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/s_atanl.c: Include <float.h> and <math.h>. (__atanl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Include <float.h>. (__atanl): Force underflow exception for results with small absolute value. * sysdeps/x86/fpu/bits/mathinline.h [!__SSE2_MATH__ && !__x86_64__ && __LIBC_INTERNAL_MATH_INLINES] (__ieee754_atan2): Only define inline for long double. * sysdeps/x86_64/fpu/multiarch/e_atan2.c [HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Include <math.h>. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 15319. Add more tests of atan2. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (casin_test_data): Do not mark underflow exceptions as possibly missing for bug 15319. (casinh_test_data): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix sign of remquo zero remainder in round-downward mode (bug 17987).Joseph Myers2015-02-171-0/+10
| | | | | | | | | | | | | | | | | | | | | | Various remquo implementations produce a zero remainder with the wrong sign (a zero remainder should always have the sign of the first argument, as specified in IEEE 754) in round-downward mode, resulting from the sign of 0 - 0. This patch checks for zero results and fixes their sign accordingly. Tested for x86_64, x86, mips64 and powerpc. [BZ #17987] * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Ensure sign of zero result does not depend on the sign resulting from subtraction. * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * math/libm-test.inc (remquo_test_data): Add more tests.
* Fix remquo spurious overflows (bug 17978).Joseph Myers2015-02-161-0/+54
| | | | | | | | | | | | | | | | | | | | | | | Various remquo implementations, when computing the last three bits of the quotient, have spurious overflows when 4 times the second argument to remquo overflows. These overflows can in turn cause bad results in rounding modes where that overflow results in a finite value. This patch adds tests to avoid the problem multiplications in cases where they would overflow, similar to those that control an earlier multiplication by 8. Tested for x86_64, x86, mips64 and powerpc. [BZ #17978] * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Do not form products 4 * y and 2 * y where those would overflow. * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * math/libm-test.inc (remquo_test_data): Add more tests.
* Fix dbl-64/wordsize-64 remquo (bug 17569).Joseph Myers2015-02-131-14/+19
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The dbl-64/wordsize-64 remquo implementation follows similar logic to various other implementations, but where that logic computes some absolute values, it wrongly uses a previously computed bit-pattern for the absolute value of the first argument, where actually it needs the absolute value of the first argument mod 8 times the second. This patch fixes it to compute the correct absolute value. The integer quotient result of remquo is only specified mod 8 (including its sign); architecture-specific versions may well vary in what results they give for higher bits of that result (and indeed bug 17569 gives an example correct result from __builtin_remquo giving 9 for that result, where the particular glibc implementation used in that bug report would give 1 after this fix). Thus, this patch adapts the tests of remquo to test that result only mod 8, to allow for such variation when tests with higher quotient are included. Tested for x86_64 and x86. [BZ #17569] * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Compute absolute value of x as modified by fmod, not original value of x. * math/libm-test.inc (RUN_TEST_ffI_f1): Rename to RUN_TEST_ffI_f1_mod8. Check extra return value mod 8. (RUN_TEST_LOOP_ffI_f1): Rename to RUN_TEST_LOOP_ffI_f1_mod8. Call RUN_TEST_ffI_f1_mod8. (remquo_test_data): Add more tests.
* Fix sincos errno setting (bug 15467).Joseph Myers2015-02-111-3/+3
| | | | | | | | | | | | | | | | | | | | | | | | This patch makes sincos set errno to EDOM when passed an infinity, similarly to sin and cos. Tested for x86_64, x86, powerpc and mips64. I don't know if the architecture-specific implementations for ia64 and m68k might need corresponding fixes. 2015-02-11 Joseph Myers <joseph@codesourcery.com> [BZ #15467] * sysdeps/ieee754/dbl-64/s_sincos.c: Include <errno.h>. (__sincos): Set errno to EDOM for infinite argument. * sysdeps/ieee754/flt-32/s_sincosf.c: Include <errno.h>. (SINCOSF_FUNC): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-128/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-128ibm/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-96/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * math/libm-test.inc (sincos_test_data): Test errno setting.
* Fix ldbl-96 scalblnl underflowing results (bug 17803).Joseph Myers2015-01-121-0/+38
| | | | | | | | | | | | | | | | | | | | | | | The ldbl-96 implementation of scalblnl (used for x86_64 and ia64) uses a condition k <= -63 to determine when a standard underflowing result tiny*__copysignl(tiny,x) should be returned. However, that condition corresponds to values with exponent -16446 or less, and in the case of -16446, the correct result for round-to-nearest depends on whether the value is exactly 0x1p-16446 (half the least subnormal) or more than that. This patch fixes the bug by changing the condition to k <= -64 and accordingly adjusting the exponent by 64 not 63 when converting to a normal value. Tested for x86_64. [BZ #17803] * sysdeps/ieee754/ldbl-96/s_scalblnl.c (twom63): Rename to twom64. Adjust value to 0x1p-64L. (__scalblnl): Only return standard underflowing result for K <= -64 not K <= -63; adjust exponent for underflowing result by 64 not 63. * math/libm-test.inc (scalbn_test_data): Add more tests. (scalbln_test_data): Likewise.
* Fix ldbl-96 scalblnl for subnormal arguments (bug 17834).Joseph Myers2015-01-121-0/+22
| | | | | | | | | | | | | | | | | | | | | | | The ldbl-96 implementation of scalblnl (used for x86_64 and ia64) is incorrect for subnormal arguments (this is a separate bug from bug 17803, which is about underflowing results). There are two problems with the adjustments of subnormal arguments: the "two63" variable multiplied by is actually 0x1p52L not 0x1p63L, so is insufficient to make values normal, and then GET_LDOUBLE_EXP(es,x), used to extract the new exponent, extracts it into a variable that isn't used, while the value taken to by the new exponent is wrongly taken from the high part of the mantissa before the adjustment (hx). This patch fixes both those problems and adds appropriate tests. Tested for x86_64. [BZ #17834] * sysdeps/ieee754/ldbl-96/s_scalblnl.c (two63): Change value to 0x1p63L. (__scalblnl): Get new exponent of adjusted subnormal value from ES not HX. * math/libm-test.inc (scalbn_test_data): Add more tests. (scalbln_test_data): Likewise.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2015-01-021-1/+1
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* Fix some warnings in the absence of FP round/exception supportChris Metcalf2014-12-301-3/+4
| | | | | | | Due to tile missing a bunch of FP exception and rounding support, the tests generate warnings. These changes fix the warnings by just not compiling some unused functions, and adding some attribute ((unused)) tags.
* Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562).Joseph Myers2014-06-271-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bugs 16561 and 16562, bad results of yn in overflow cases in non-default rounding modes, both because an intermediate overflow in the recurrence does not get detected if the result is not an infinity and because an overflowing result may occur in the wrong sign. The fix is to set FE_TONEAREST mode internally for the parts of the function where such overflows can occur (which includes the call to y1 - where yn is used to compute a Bessel function of order -1, negating the result of y1 isn't correct for overflowing results in directed rounding modes) and then compute an overflowing value in the original rounding mode if the to-nearest result was an infinity. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 and powerpc32 to test the ldbl-128 and ldbl-128ibm changes. (The tests for these bugs were added in my previous y1 patch, so the only thing this patch has to do with the testsuite is enable yn testing in all rounding modes.) [BZ #16561] [BZ #16562] * sysdeps/ieee754/dbl-64/e_jn.c: Include <float.h>. (__ieee754_yn): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/flt-32/e_jnf.c: Include <float.h>. (__ieee754_ynf): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-128/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-96/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/i386/fpu/fenv_private.h [!__SSE2_MATH__] (libc_feholdsetround_ctx): New macro. * math/libm-test.inc (yn_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps : Likewise.
* Test cpow in all rounding modes.Joseph Myers2014-06-231-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch enables testing of cpow in all rounding modes using ALL_RM_TEST. There were two reasons this was previously deferred: * MPC has complicated rounding-mode-dependent rules for the signs of exact zero real or imaginary parts in the result of mpc_pow. Annex G does not impose any such requirements and I don't think glibc should try to implement any particular logic here. This patch adds support for gen-auto-libm-tests passing the IGNORE_ZERO_INF_SIGN flag to libm-test.inc. * Error accumulations in some tests in non-default rounding modes exceed the maximum error permitted in libm-test.inc. This patch marks the problem tests with xfail-rounding. (It might be possible to reduce the accumulations a bit by using round-to-nearest when cpow calls clog, but I don't think there's much point; the implementation approach for cpow is fundamentally deficient, as discussed in the existing bug for cpow inaccuracy which can reasonably be considered to cover these less-inaccurate cases as well. It's possible that the test "cpow 2 0 10 0" will also need xfail-rounding on some platforms.) Tested x86_64 and x86 and ulps updated accordingly. * math/gen-auto-libm-tests.c: Document use of ignore-zero-inf-sign. (input_flag_type): Add value flag_ignore_zero_inf_sign. (input_flags): Add ignore-zero-inf-sign. (output_for_one_input_case): Handle flag_ignore_zero_inf_sign. * math/gen-libm-test.pl (generate_testfile): Handle ignore-zero-inf-sign. * math/auto-libm-test-in: Mark some cpow tests with ignore-zero-inf-sign and some with xfail-rounding. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (cpow_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix pow overflow in non-default rounding modes (bug 16315).Joseph Myers2014-06-231-67/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 16315, bad pow handling of overflow/underflow in non-default rounding modes. Tests of pow are duly converted to ALL_RM_TEST to run all tests in all rounding modes. There are two main issues here. First, various implementations compute a negative result by negating a positive result, but this yields inappropriate overflow / underflow values for directed rounding, so either overflow / underflow results need recomputing in the correct sign, or the relevant overflowing / underflowing operation needs to be made to have a result of the correct sign. Second, the dbl-64 implementation sets FE_TONEAREST internally; in the overflow / underflow case, the result needs recomputing in the original rounding mode. Tested x86_64 and x86 and ulps updated accordingly. [BZ #16315] * sysdeps/i386/fpu/e_pow.S (__ieee754_pow): Ensure possibly overflowing or underflowing operations take place with sign of result. * sysdeps/i386/fpu/e_powf.S (__ieee754_powf): Likewise. * sysdeps/i386/fpu/e_powl.S (__ieee754_powl): Likewise. * sysdeps/ieee754/dbl-64/e_pow.c: Include <math.h>. (__ieee754_pow): Recompute overflowing and underflowing results in original rounding mode. * sysdeps/x86/fpu/powl_helper.c: Include <stdbool.h>. (__powl_helper): Allow negative argument X and scale negated value as needed. Avoid passing value outside [-1, 1] to f2xm1. * sysdeps/x86_64/fpu/e_powl.S (__ieee754_powl): Ensure possibly overflowing or underflowing operations take place with sign of result. * sysdeps/x86_64/fpu/multiarch/e_pow.c [HAVE_FMA4_SUPPORT]: Include <math.h>. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (pow_test): Use ALL_RM_TEST. (pow_tonearest_test_data): Remove. (pow_test_tonearest): Likewise. (pow_towardzero_test_data): Likewise. (pow_test_towardzero): Likewise. (pow_downward_test_data): Likewise. (pow_test_downward): Likewise. (pow_upward_test_data): Likewise. (pow_test_upward): Likewise. (main): Don't call removed functions. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* [BZ #6803] Set errno for scalbln, scalbnStefan Liebler2014-06-201-64/+64
| | | | | | | | | | | Errno is not set and the testcases will fail. Now the scalbln-aliases are removed in i386/m68 and the wrappers are used when calling the scalbln-functions. On ia64 only scalblnf has its own implementation. For scalbln and scalblnl the ieee754/dbl-64 and ieee754/ldbl-96 are used, thus the wrappers are needed, too.
* PowerPC: Fix nearbyintl failure for few inputsRajalakshmi Srinivasaraghavan2014-06-171-0/+8
| | | | | | | | This patch fixes few failures in nearbyintl() where the fraction part is close to 0.5.i The new tests added report few extra failures in nearbyint_downward and nearbyint_towardzero which is a known issue. Fixes #17031.
* Fix log2 (1) in round-downward mode (bug 17042).Joseph Myers2014-06-101-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | As with other issues of this kind, bug 17042 is log2 (1) wrongly returning -0 instead of +0 in round-downward mode because of implementations effectively in terms of log1p (x - 1). This patch fixes the issue in the same way used for log and log10. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 to confirm a fix was needed for ldbl-128 and to validate that fix (also applied to ldbl-128ibm since that version of log2l is essentially the same as the ldbl-128 one). [BZ #17042] * sysdeps/i386/fpu/e_log2.S (__ieee754_log2): Take absolete value when x - 1 is zero. * sysdeps/i386/fpu/e_log2f.S (__ieee754_log2f): Likewise. * sysdeps/i386/fpu/e_log2l.S (__ieee754_log2l): Likewise. * sysdeps/ieee754/ldbl-128/e_log2l.c (__ieee754_log2l): Return 0.0L for an argument of 1.0L. * sysdeps/ieee754/ldbl-128ibm/e_log2l.c (__ieee754_log2l): Likewise. * sysdeps/x86_64/fpu/e_log2l.S (__ieee754_log2l): Take absolute value when x - 1 is zero. * math/libm-test.inc (log2_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log10 (1) in round-downward mode (bug 16977).Joseph Myers2014-05-231-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | As with various other issues of this kind, bug 16977 is log10 (1) wrongly returning -0 rather than +0 in round-downward mode because of an implementation effectively in terms of log1p (x - 1). This patch fixes the issue in the same way used for log. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 to confirm a fix was needed for ldbl-128 and to validate that fix (also applied to ldbl-128ibm since that version of logl is essentially the same as the ldbl-128 one). [BZ #16977] * sysdeps/i386/fpu/e_log10.S (__ieee754_log10): Take absolute value when x - 1 is zero. * sysdeps/i386/fpu/e_log10f.S (__ieee754_log10f): Likewise. * sysdeps/i386/fpu/e_log10l.S (__ieee754_log10l): Likewise. * sysdeps/ieee754/ldbl-128/e_log10l.c (__ieee754_log10l): Return 0.0L for an argument of 1.0L. * sysdeps/ieee754/ldbl-128ibm/e_log10l.c (__ieee754_log10l): Likewise. * sysdeps/x86_64/fpu/e_log10l.S (__ieee754_log10l): Take absolute value when x - 1 is zero. * math/libm-test.inc (log10_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix cacos (+Inf + finite*i) in round-downward mode (bug 16928).Joseph Myers2014-05-141-3/+1
| | | | | | | | | | | | | | | | | | | | | According to C99/C11 Annex G, cacos applied to a value with real part +Inf and finite imaginary part should produce a result with real part +0. glibc wrongly produces a result with real part -0 in FE_DOWNWARD mode. This patch fixes this by checking for zero results in the relevant case of non-finite arguments (where there should never be a result with -0 real part), and converts the tests of cacos to ALL_RM_TEST. Tested x86_64 and x86 and ulps updated accordingly. [BZ #16928] * math/s_cacos.c (__cacos): Ensure zero real part of result from non-finite arguments is +0. * math/s_cacosf.c (__cacosf): Likewise. * math/s_cacosl.c (__cacosl): Likewise. * math/libm-test.inc (cacos_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix acosh (1) in round-downward mode (bug 16927).Joseph Myers2014-05-141-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | According to C99 and C11 Annex F, acosh (1) should be +0 in all rounding modes. However, some implementations in glibc wrongly return -0 in round-downward mode (which is what you get if you end up computing log1p (-0), via 1 - 1 being -0 in round-downward mode). This patch fixes the problem implementations, by correcting the test for an exact 1 value in the ldbl-96 implementation to allow for the explicit high bit of the mantissa, and by inserting fabs instructions in the i386 implementations; tests of acosh are duly converted to ALL_RM_TEST. I believe all the other sysdeps/ieee754 implementations are already OK (I haven't checked the ia64 versions, but if buggy then that will be obvious from the results of test runs after this patch is in). Tested x86_64 and x86 and ulps updated accordingly. [BZ #16927] * sysdeps/i386/fpu/e_acosh.S (__ieee754_acosh): Use fabs on x-1 value. * sysdeps/i386/fpu/e_acoshf.S (__ieee754_acoshf): Likewise. * sysdeps/i386/fpu/e_acoshl.S (__ieee754_acoshl): Likewise. * sysdeps/ieee754/ldbl-96/e_acoshl.c (__ieee754_acoshl): Correct for explicit high bit of mantissa when testing for argument equal to 1. * math/libm-test.inc (acosh_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Correct IBM long double frexpl.Alan Modra2014-04-161-0/+9
| | | | | | | | | | | Besides fixing the bugzilla, this also fixes corner-cases where the high and low double differ greatly in magnitude, and handles a denormal input without resorting to a fp rescale. [BZ #16740] [BZ #16619] * sysdeps/ieee754/ldbl-128ibm/s_frexpl.c (__frexpl): Rewrite. * math/libm-test.inc (frexp_test_data): Add tests.
* Fix catan, catanh, __ieee754_logf in round-downward mode (bug 16799, bug 16800).Joseph Myers2014-04-021-6/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes incorrect results from catan and catanh of certain special inputs in round-downward mode (bug 16799), and incorrect results of __ieee754_logf (+/-0) in round-downward mode (bug 16800) that show up through catan/catanh when tested in all rounding modes, but not directly in the testing for logf because the bug gets hidden by the wrappers. Both bugs involve a zero that should be +0 being -0 instead: one computed as (1-x)*(1+x) in the catan/catanh case, and one as (x-x) in the logf case. The fixes ensure positive zero is used. Testing of catan and catanh in all rounding modes is duly enabled. I expect there are various other bugs in special cases in __ieee754_* functions that are normally hidden by the wrappers but would show up for testing with -lieee (or in future with -fno-math-errno if we replace -lieee and _LIB_VERSION with compile-time redirection to new *_noerrno symbol names). Tested x86_64 and x86 and ulps updated accordingly. [BZ #16799] [BZ #16800] * math/s_catan.c (__catan): Avoid passing -0 denominator to atan2 with 0 numerator. * math/s_catanf.c (__catanf): Likewise. * math/s_catanh.c (__catanh): Likewise. * math/s_catanhf.c (__catanhf): Likewise. * math/s_catanhl.c (__catanhl): Likewise. * math/s_catanl.c (__catanl): Likewise. * sysdeps/ieee754/flt-32/e_logf.c (__ieee754_logf): Always divide by positive zero when computing -Inf result. * math/libm-test.inc (catan_test): Use ALL_RM_TEST. (catanh_test): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix clog / clog10 sign of zero result in round-downward mode (bug 16789).Joseph Myers2014-04-021-6/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 16789, incorrect sign of (real part) zero result from clog and clog10 in round-downward mode, arising from that real part being computed as 0 - 0. To ensure that an underflow exception occurred, the code used an underflowing value (the next term in the series for log1p) in arithmetic computing the real part of the result, yielding the problematic 0 - 0 computation in some cases even when the mathematical result would be small but positive. The patch changes this code to use the math_force_eval approach to ensuring that an underflowing computation actually occurs. Tests of clog and clog10 are enabled in all rounding modes. Tested x86_64 and x86 and ulps updated accordingly. [BZ #16789] * math/s_clog.c (__clog): Use math_force_eval to ensure underflow instead of using underflowing value in computing result. * math/s_clog10.c (__clog10): Likewise. * math/s_clog10f.c (__clog10f): Likewise. * math/s_clog10l.c (__clog10l): Likewise. * math/s_clogf.c (__clogf): Likewise. * math/s_clogl.c (__clogl): Likewise. * math/libm-test.inc (clog_test): Use ALL_RM_TEST. (clog10_test): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Correct IBM long double nextafterl.Alan Modra2014-04-021-0/+8
| | | | | | | | | | | | Fix for values near a power of two, and some tidies. [BZ #16739] * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c (__nextafterl): Correct output when value is near a power of two. Use int64_t for lx and remove casts. Use decimal rather than hex exponent constants. Don't use long double multiplication when double will suffice. * math/libm-test.inc (nextafter_test_data): Add tests. * NEWS: Add 16739 and 16786 to bug list.
* Set errno for scalb errors (bug 6803, bug 6804).Joseph Myers2014-03-311-66/+68
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes the default mode of scalb to set errno (bugs 6803 and 6804). Previously, the _LIB_VERSION == _SVID_ mode would set errno but only in some relevant cases, and with various peculiarities (such as errno setting when an exact infinity or zero result arises with an argument to scalb being an infinity). This patch leaves this mode bug-compatible, while making the default mode set errno in accordance with normal practice (so an exact infinity from an infinite argument is not an error, and nor is an exact zero result). gen-libm-test.pl is taught new notation such as ERRNO_PLUS_OFLOW to facilitate writing the tests of errno setting for underflow / overflow in libm-test.inc. Note that bug 6803 also covers scalbn and scalbln, but this patch only addresses the scalb parts of that bug (along with the whole of bug 6804). Tested x86_64 and x86. [BZ #6803] [BZ #6804] * math/w_scalb.c (__scalb): For non-SVID mode, check result and set errno as appropriate. * math/w_scalbf.c (__scalbf): Likewise. * math/w_scalbl.c (__scalbl): Likewise. * math/gen-libm-test.pl (parse_args): Handle ERRNO_PLUS_OFLOW, ERRNO_MINUS_OFLOW, ERRNO_PLUS_UFLOW and ERRNO_MINUS_UFLOW. * math/libm-test.inc (scalb_test_data): Add errno expectations. Add more NaN tests.
* Fix scalb spurious "invalid" exceptions (bug 16770).Joseph Myers2014-03-291-0/+17
| | | | | | | | | | | | | | | | | | | | | This patch fixes bug 16770, spurious "invalid" exceptions from scalb when testing whether the second argument is an integer, by inserting appropriate range checks to determine whether a cast to int is safe. (Note that invalid_fn is a function that handles both nonintegers and large integers, distinguishing them reliably using functions such as __rint; note also that there are no issues with scalb needing to avoid spurious "inexact" exceptions - it's an old-POSIX XSI function, not a standard C function bound to an IEEE 754 operation - although the return value is still fully determined.) Tested x86_64 and x86. [BZ #16770] * math/e_scalb.c (__ieee754_scalb): Check second argument is not too large before casting to int. * math/e_scalbf.c (__ieee754_scalbf): Likewise. * math/e_scalbl.c (__ieee754_scalbl): Likewise. * math/libm-test.inc (scalb_test_data): Add more tests.
* Fix clog10 (-0 +/- 0i) (bug 16362).Joseph Myers2014-03-281-2/+2
| | | | | | | | | | | | | | | | | | | | | | This patch fixes the imaginary part of clog10 (-0 +/- 0i), which should be +/-pi / log(10) by analogy with clog (the functions were wrongly returning a result with imaginary part +/-pi, same as for clog, and the tests matched the incorrect result, though both functions and tests were correct for the similar case of clog10 (-inf +/- 0i)). Tested x86_64 and x86. [BZ #16362] * math/s_clog10.c (M_PI_LOG10E): New macro. (__clog10): Use M_PI_LOG10E instead of M_PI when real and imaginary parts are 0. * math/s_clog10f.c (M_PI_LOG10Ef): New macro. (__clog10f): Use M_PI_LOG10Ef instead of M_PI when real and imaginary parts are 0. * math/s_clog10l.c (M_PI_LOG10El): New macro. (__clog10l): Use M_PI_LOG10El instead of M_PIl when real and imaginary parts are 0. * math/libm-test.inc (clog10_test_data): Update expected results for when real and imaginary parts are 0.
* Relax gen-auto-libm-tests may-underflow rules, test log1p in all rounding modes.Joseph Myers2014-03-251-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gen-auto-libm-tests presently allows but does not require underflow exceptions for results with magnitude in the range (greatest subnormal, least normal]. In some cases, the magnitude of the exact result is very slightly above the least normal, but rounding in the implementation results in it effectively computing an infinite-precision result that is slightly below the least normal, so raising an underflow exception. This is in accordance with the documented accuracy goals, but results in testsuite failures. This patch changes the logic to allow underflows when the mathematical result is up to 0.5ulp above the least normal (so in any case where the round-to-nearest result is the least normal). Ideally underflows in all these cases would be accepted only when an underflow with the actual result is consistent with the rounding mode (in FE_TOWARDZERO mode, a return value of the least normal implies that the infinite-precision result did not underflow so there should be no underflow exception, for example), so as to match the documented goals more precisely - whereas at present the tests for exceptions are completely independent of the tests of the returned values. (The same applies to overflow exceptions as well - they too should be checked for consistency with the result, as in FE_TOWARDZERO mode a result 1ulp below the largest finite value should be inconsistent with an overflow exception and cause a failure with overflow rather than simply being considered a 1ulp error when overflow is expected.) But the present patch at least deals with the cases causing spurious failures so that (a) certain existing tests no longer need to be marked as having spurious exceptions (such markings in auto-libm-test-in end up applying to more cases than just those they are needed for) and (b) log1p can be tested in all rounding modes without introducing more such failures. This patch duly moves tests of log1p to ALL_RM_TEST. Tested x86_64 and x86 and ulps updated accordingly. [BZ #16357] [BZ #16599] * math/gen-auto-libm-tests.c (fp_format_desc): Add field min_plus_half. (fp_formats): Update initializers. (init_fp_formats): Initialize new field. (output_for_one_input_case): Allow underflow for results up to min_plus_half. * math/libm-test.inc (log1p_test): Use ALL_RM_TEST. * math/auto-libm-test-in: Don't mark some underflows from asin and atanh as spurious. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix dbl-64 exp overflow/underflow in non-default rounding modes (bug 16284).Joseph Myers2014-03-241-18/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The dbl-64 version of exp needs round-to-nearest mode for its internal computations, but that has the consequence of inappropriate overflowing and underflowing results in other rounding modes. This patch fixes this by recomputing the relevant results in cases where the round-to-nearest result overflows to infinity or underflows to zero (most of the diffs are actually just consequent reindentation). Tests are enabled in all rounding modes for complex functions using exp - but not for cexp because it turns out there are bugs causing spurious underflows for cexp for some tests, which will need to be fixed separately (I suspect ccos ccosh csin csinh ctan ctanh have similar bugs, just not shown by the present set of test inputs). Tested x86_64 and x86 and ulps updated accordingly. [BZ #16284] * sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Use original rounding mode to recompute results that overflow to infinity or underflow to zero. * math/auto-libm-test-in: Don't mark tests as expected to fail for bug 16284. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (ccos_test): Use ALL_RM_TEST. (ccosh_test): Likewise. (csin_test_data): Use plus_oflow. (csin_test): Use ALL_RM_TEST. (csinh_test_data): Use plus_oflow. (csinh_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log (1) in round-downward mode (bug 16731).Joseph Myers2014-03-211-3/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | According to ISO C Annex F, log (1) should be +0 in all rounding modes, but some implementations in glibc wrongly return -0 in round-downward mode (mapping to log1p (x - 1) is problematic because 1 - 1 is -0 in round-downward mode, and log1p (-0) is -0). This patch fixes this. (It helps with some implementations of other functions such as acosh, log2 and log10 that call out to log, but not enough to enable all-rounding-modes testing for those functions without further fixes to other implementations of them.) Tested x86_64 and x86 and ulps updated accordingly, and did spot tests for mips64 for the ldbl-128 fix, and i586 for the sysdeps/i386/fpu implementations shadowed by those in sysdeps/i386/i686/fpu. [BZ #16731] * sysdeps/i386/fpu/e_log.S (__ieee754_log): Take absolute value when x - 1 is zero. * sysdeps/i386/fpu/e_logf.S (__ieee754_logf): Likewise. * sysdeps/i386/fpu/e_logl.S (__ieee754_logl): Likewise. * sysdeps/i386/i686/fpu/e_logl.S (__ieee754_logl): Likewise. * sysdeps/ieee754/dbl-64/e_log.c (__ieee754_log): Return +0 when argument is 1. * sysdeps/ieee754/ldbl-128/e_logl.c (__ieee754_logl): Likewise. * sysdeps/x86_64/fpu/e_logl.S: Take absolute value when x - 1 is zero. * math/libm-test.inc (log_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Test most libm functions in all rounding modes.Joseph Myers2014-03-211-74/+26
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch makes libm-test.inc tests of most functions use ALL_RM_TEST unless there was some reason to defer that change for a particular function. I started out planning to defer the change for pow (bug 16315), cexp / ccos / ccosh / csin / csinh (likely fallout from exp, bug 16284) and cpow (exact expectations for signs of exact zero results not wanted). Testing on x86_64 and x86 showed additional failures for acosh, cacos, catan, catanh, clog, clog10, jn, log, log10, log1p, log2, tgamma, yn, so making the change for those functions was deferred as well, pending investigation to show which of these represent distinct bugs (some such bugs may already be filed) and appropriate fixing / XFAILing. Failures include wrong signs of zero results, errors slightly above the 9ulp bound (in such cases it may make sense for functions to set round-to-nearest internally to reduce error accumulation), large errors and incorrect overflow/underflow for the rounding mode (with consequent missing errno settings in some cases). It's possible some could be issues with test expectations, though I didn't notice any that were obviously like that (I added NO_TEST_INLINE for cases that were failing for ildoubl on x86 and where it seemed reasonable for them to fail for the fast-math inlines). There may of course be failures on other architectures for functions that didn't fail on x86_64 or x86, in which case the usual rule applies: file a bug (preferably identifying the underlying problem function, in cases where function A calls function B and a problem with function B may present in the test results for function A) if not already in Bugzilla then fix or XFAIL. Tested x86_64 and x86 and ulps updated accordingly. * math/libm-test.inc (asinh_test): Use ALL_RM_TEST. (atan_test): Likewise. (atanh_test_data): Use NO_TEST_INLINE for two tests. (atanh_test): Use ALL_RM_TEST. (atan2_test_data): Likewise. (cabs_test): Likewise. (cacosh_test): Likewise. (carg_test): Likewise. (casin_test): Likewise. (casinh_test): Likewise. (cbrt_test): Likewise. (csqrt_test): Likewise. (erf_test): Likewise. (erfc_test): Likewise. (pow10_test): Likewise. (exp2_test): Likewise. (hypot_test): Likewise. (j0_test): Likewise. (j1_test): Likewise. (lgamma_test): Likewise. (gamma_test): Likewise. (sincos_test): Likewise. (tanh_test): Likewise. (y0_test): Likewise. (y1_test): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Make libm-test support ALL_RM_TEST with AUTO_TESTS_*.Joseph Myers2014-03-201-942/+63
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch continues improvements to all-rounding-mode libm testing by making testing with ALL_RM_TEST support test results from auto-libm-test-out. gen-libm-test.pl is adapted to generate appropriate output with results for each rounding mode, with AUTO_TESTS_* calls no longer specifying a rounding mode. Where there were separate functions in libm-test.inc to test a function in each rounding mode, using AUTO_TESTS_* to list the tests for each rounding mode, those are converted to using ALL_RM_TEST (so generally this patch doesn't change the sets of tests run in each rounding mode, except that in various cases special-case tests given directly in libm-test.inc were previously run only for round-to-nearest, and now are run for all rounding modes). Tested x86_64 and x86. * math/gen-libm-test.pl (generate_testfile): Expect only function name as argument to AUTO_TESTS_* and pass results for all rounding modes to parse_args. (parse_auto_input): Separate inputs of automatic tests from outputs before storing in %auto_tests. * math/libm-test.inc (acos_test_data): Update call to AUTO_TESTS_f_f. (acos_test): Use ALL_RM_TEST. (acos_tonearest_test_data): Remove. (acos_test_tonearest): Likewise. (acos_towardzero_test_data): Likewise. (acos_test_towardzero): Likewise. (acos_downward_test_data): Likewise. (acos_test_downward): Likewise. (acos_upward_test_data): Likewise. (acos_test_upward): Likewise. (acosh_test_data): Update call to AUTO_TESTS_f_f. (asin_test_data): Likewise. (asin_test): Use ALL_RM_TEST. (asin_tonearest_test_data): Remove. (asin_test_tonearest): Likewise. (asin_towardzero_test_data): Likewise. (asin_test_towardzero): Likewise. (asin_downward_test_data): Likewise. (asin_test_downward): Likewise. (asin_upward_test_data): Likewise. (asin_test_upward): Likewise. (asinh_test_data): Update call to AUTO_TESTS_f_f. (atan_test_data): Likewise. (atanh_test_data): Likewise. (atan2_test_data): Update call to AUTO_TESTS_ff_f. (cabs_test_data): Update call to AUTO_TESTS_c_f. (carg_test_data): Likewise. (cbrt_test_data): Update call to AUTO_TESTS_f_f. (ccos_test_data): Update call to AUTO_TESTS_c_c. (ccosh_test_data): Likewise. (cexp_test_data): Likewise. (clog_test_data): Likewise. (clog10_test_data): Likewise. (cos_test_data): Update call to AUTO_TESTS_f_f. (cos_test): Use ALL_RM_TEST. (cos_tonearest_test_data): Remove. (cos_test_tonearest): Likewise. (cos_towardzero_test_data): Likewise. (cos_test_towardzero): Likewise. (cos_downward_test_data): Likewise. (cos_test_downward): Likewise. (cos_upward_test_data): Likewise. (cos_test_upward): Likewise. (cosh_test_data): Update call to AUTO_TESTS_f_f. (cosh_test): Use ALL_RM_TEST. (cosh_tonearest_test_data): Remove. (cosh_test_tonearest): Likewise. (cosh_towardzero_test_data): Likewise. (cosh_test_towardzero): Likewise. (cosh_downward_test_data): Likewise. (cosh_test_downward): Likewise. (cosh_upward_test_data): Likewise. (cosh_test_upward): Likewise. (cpow_test_data): Update call to AUTO_TESTS_cc_c. (csqrt_test_data): Update call to AUTO_TESTS_c_c. (ctan_test_data): Likewise. (ctan_test): Use ALL_RM_TEST. (ctan_tonearest_test_data): Remove. (ctan_test_tonearest): Likewise. (ctan_towardzero_test_data): Likewise. (ctan_test_towardzero): Likewise. (ctan_downward_test_data): Likewise. (ctan_test_downward): Likewise. (ctan_upward_test_data): Likewise. (ctan_test_upward): Likewise. (ctanh_test_data): Update call to AUTO_TESTS_c_c. (ctanh_test): Use ALL_RM_TEST. (ctanh_tonearest_test_data): Remove. (ctanh_test_tonearest): Likewise. (ctanh_towardzero_test_data): Likewise. (ctanh_test_towardzero): Likewise. (ctanh_downward_test_data): Likewise. (ctanh_test_downward): Likewise. (ctanh_upward_test_data): Likewise. (ctanh_test_upward): Likewise. (erf_test_data): Update call to AUTO_TESTS_f_f. (erfc_test_data): Likewise. (exp_test_data): Likewise. (exp_test): Use ALL_RM_TEST. (exp_tonearest_test_data): Remove. (exp_test_tonearest): Likewise. (exp_towardzero_test_data): Likewise. (exp_test_towardzero): Likewise. (exp_downward_test_data): Likewise. (exp_test_downward): Likewise. (exp_upward_test_data): Likewise. (exp_test_upward): Likewise. (exp10_test_data): Update call to AUTO_TESTS_f_f. (exp10_test): Use ALL_RM_TEST. (exp10_tonearest_test_data): Remove. (exp10_test_tonearest): Likewise. (exp10_towardzero_test_data): Likewise. (exp10_test_towardzero): Likewise. (exp10_downward_test_data): Likewise. (exp10_test_downward): Likewise. (exp10_upward_test_data): Likewise. (exp10_test_upward): Likewise. (exp2_test_data): Update call to AUTO_TESTS_f_f. (expm1_test_data): Likewise. (expm1_test): Use ALL_RM_TEST. (expm1_tonearest_test_data): Remove. (expm1_test_tonearest): Likewise. (expm1_towardzero_test_data): Likewise. (expm1_test_towardzero): Likewise. (expm1_downward_test_data): Likewise. (expm1_test_downward): Likewise. (expm1_upward_test_data): Likewise. (expm1_test_upward): Likewise. (fma_test_data): Update call to AUTO_TESTS_fff_f. (fma_test): Use ALL_RM_TEST. (fma_towardzero_test_data): Remove. (fma_test_towardzero): Likewise. (fma_downward_test_data): Likewise. (fma_test_downward): Likewise. (fma_upward_test_data): Likewise. (fma_test_upward): Likewise. (hypot_test_data): Update call to AUTO_TESTS_ff_f. (j0_test_data): Update call to AUTO_TESTS_f_f. (j1_test_data): Likewise. (jn_test_data): Update call to AUTO_TESTS_if_f. (lgamma_test_data): Update call to AUTO_TESTS_f_f1. (log_test_data): Update call to AUTO_TESTS_f_f. (log10_test_data): Likewise. (log1p_test_data): Likewise. (log2_test_data): Likewise. (pow_test_data): Update call to AUTO_TESTS_ff_f. (pow_tonearest_test_data): Likewise. (sin_test_data): Update call to AUTO_TESTS_f_f. (sin_test): Use ALL_RM_TEST. (sin_tonearest_test_data): Remove. (sin_test_tonearest): Likewise. (sin_towardzero_test_data): Likewise. (sin_test_towardzero): Likewise. (sin_downward_test_data): Likewise. (sin_test_downward): Likewise. (sin_upward_test_data): Likewise. (sin_test_upward): Likewise. (sincos_test_data): Update call to AUTO_TESTS_fFF_11. (sinh_test_data): Update call to AUTO_TESTS_f_f. (sinh_test): Use ALL_RM_TEST. (sinh_tonearest_test_data): Remove. (sinh_test_tonearest): Likewise. (sinh_towardzero_test_data): Likewise. (sinh_test_towardzero): Likewise. (sinh_downward_test_data): Likewise. (sinh_test_downward): Likewise. (sinh_upward_test_data): Likewise. (sinh_test_upward): Likewise. (sqrt_test_data): Update call to AUTO_TESTS_f_f. (sqrt_test): Use ALL_RM_TEST. (sqrt_tonearest_test_data): Remove. (sqrt_test_tonearest): Likewise. (sqrt_towardzero_test_data): Likewise. (sqrt_test_towardzero): Likewise. (sqrt_downward_test_data): Likewise. (sqrt_test_downward): Likewise. (sqrt_upward_test_data): Likewise. (sqrt_test_upward): Likewise. (tan_test_data): Update call to AUTO_TESTS_f_f. (tan_test): Use ALL_RM_TEST. (tan_tonearest_test_data): Remove. (tan_test_tonearest): Likewise. (tan_towardzero_test_data): Likewise. (tan_test_towardzero): Likewise. (tan_downward_test_data): Likewise. (tan_test_downward): Likewise. (tan_upward_test_data): Likewise. (tan_test_upward): Likewise. (tanh_test_data): Update call to AUTO_TESTS_f_f. (tgamma_test_data): Likewise. (y0_test_data): Likewise. (y1_test_data): Likewise. (yn_test_data): Update call to AUTO_TESTS_if_f. (main): Do not call removed functions.
* Use ALL_RM_TEST for more libm tests.Joseph Myers2014-03-191-32/+9
| | | | | | | | | | | | | | | | | | | Continuing the move to using ALL_RM_TEST for tests in libm-test.inc, this patch converts the tests of fdim, ldexp and scalb. fdim and scalb are cases where tests could depend on the rounding mode though none of the present test inputs do; ldexp is such a case where the function is equivalent to scalbn (for binary floating point) and the tests used were a subset of those for scalbn, so this patch makes ldexp testing use the scalbn tests, as done for other cases of libm function aliases. Tested x86_64 and x86. * math/libm-test.inc (fdim_test): Use ALL_RM_TEST. (ldexp_test_data): Remove. (ldexp_test): Move to after scalbn_test. Use ALL_RM_TEST with scalbn_test_data. (scalb_test): Use ALL_RM_TEST.
* Test scalbn and scalbln in all rounding modes, add more tests of negative ↵Joseph Myers2014-03-181-41/+71
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | arguments. Continuing the move to systematically testing libm functions in all rounding modes with ALL_RM_TEST, this patch converts the tests of scalbn and scalbln to use that macro. Those tests include cases of underflow and overflow, meaning the expected results depend on the rounding mode. For convenience in writing such tests manually, the patch adds the notation plus_oflow, minus_oflow, plus_uflow and minus_uflow for overflowing / underflowing results of each sign appropriate to the rounding mode being used, and gen-libm-test.pl is made to substitute in the appropriate values. The tests of underflow and overflow are extended to include negative arguments to provide better coverage (otherwise minus_oflow and minus_uflow wouldn't have been used at all). (A subsequent patch will make ldexp use the scalbn tests, as those functions are equivalent for binary floating point.) Tested x86_64 and x86. * math/gen-libm-test.pl (parse_args): Handle plus_oflow, minus_oflow, plus_uflow and minus_uflow in expected results. * math/libm-test.inc (scalbn_test_data): Add more tests of negative arguments. Use plus_oflow, minus_oflow, plus_uflow and minus_uflow. (scalbn_test): Use ALL_RM_TEST. (scalbln_test_data): Add more tests of negative arguments. Use plus_oflow, minus_oflow, plus_uflow and minus_uflow. (scalbln_test): Use ALL_RM_TEST.
* Test rint and nearbyint with same inputs, in all rounding modes.Joseph Myers2014-03-171-49/+150
| | | | | | | | | | | | | | | | | | This patch arranges for rint and nearbyint to be tested by libm-test.inc with the same inputs (previously each had some test inputs the other didn't, although there was a lot of overlap as well), and for nearbyint to be tested in all rounding modes where previously it was only tested in round-to-nearest mode. The expected results are the same for each function, except that rint is expected to have "inexact" exceptions for non-integer input and nearbyint is expected not to have those exceptions. Tested x86_64 and x86. * math/libm-test.inc (nearbyint_test_data): Include all tests used for rint. Include results for all rounding modes. (nearbyint_test): Use ALL_RM_TEST. (rint_test_data): Include all tests used for nearbyint.
* Add libm-test support for per-rounding-mode manually specified results.Joseph Myers2014-03-171-1220/+182
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch continues the libm-test move towards automatic testing of all test inputs in all rounding modes by adding gen-libm-test.pl support for tests specifying results in each rounding mode manually. Previously a TEST_* line could specify arguments and results, or arguments, results and flags. Now there is the option of (arguments, results-rd, flags-rd, results-rn, flags-rn, results-rz, flags-rz, results-ru, flags-ru). This is used to replace the separate arrays of results in each rounding mode for lrint, llrint and rint. (In the case of rint, some tests were only in rint_test_data and needed to have expectations for non-default rounding modes added, which I did manually. In various cases there were slight differences in things such as the ordering of tests in the arrays for each mode.) Tested x86_64 and x86. * math/gen-libm-test.pl (parse_args): Handle results specified for each rounding mode separately. * math/libm-test.inc (lrint_test_data): Merge in per-rounding-mode tests and results from lrint_tonearest_test_data, lrint_towardzero_test_data, lrint_downward_test_data and lrint_upward_test_data. (lrint_test): Use ALL_RM_TEST. (lrint_tonearest_test_data): Remove. (lrint_test_tonearest): Likewise. (lrint_towardzero_test_data): Likewise. (lrint_test_towardzero): Likewise. (lrint_downward_test_data): Likewise. (lrint_test_downward): Likewise. (lrint_upward_test_data): Likewise. (lrint_test_upward): Likewise. (llrint_test_data): Merge in per-rounding-mode tests and results from llrint_tonearest_test_data, llrint_towardzero_test_data, llrint_downward_test_data and llrint_upward_test_data. (llrint_test): Use ALL_RM_TEST. (llrint_tonearest_test_data): Remove. (llrint_test_tonearest): Likewise. (llrint_towardzero_test_data): Likewise. (llrint_test_towardzero): Likewise. (llrint_downward_test_data): Likewise. (llrint_test_downward): Likewise. (llrint_upward_test_data): Likewise. (llrint_test_upward): Likewise. (rint_test_data): Merge in per-rounding-mode tests and results from rint_tonearest_test_data, rint_towardzero_test_data, rint_downward_test_data and rint_upward_test_data. Add per-rounding-mode results for tests not in those arrays. (rint_test): Use ALL_RM_TEST. (rint_tonearest_test_data): Remove. (rint_test_tonearest): Likewise. (rint_towardzero_test_data): Likewise. (rint_test_towardzero): Likewise. (rint_downward_test_data): Likewise. (rint_test_downward): Likewise. (rint_upward_test_data): Likewise. (rint_test_upward): Likewise. (main): Don't call removed functions.
* PowerPC: remove wrong roundl implementation for PowerPC64Adhemerval Zanella2014-03-141-0/+9
| | | | | | | | | | | | | | | | | The roundl assembly implementation (sysdeps/powerpc/powerpc64/fpu/s_roundl.S) returns wrong results for some inputs where first double is a exact integer and the precision is determined by second long double. Checking on implementation comments and history, I am very confident the assembly implementation was based on a version before commit 5c68d401698a58cf7da150d9cce769fa6679ba5f that fixes BZ#2423 (Errors in long double (ldbl-128ibm) rounding functions in glibc-2.4). By just removing the implementation and make the build select sysdeps/ieee754/ldbl-128ibm/s_roundl.c instead fixes the failing math. This fixes 16707.
* PowerPC: remove wrong nearbyintl implementation for PPC64Adhemerval Zanella2014-03-141-0/+10
| | | | | | | | | | | | | | | | | | The nearbyintl assembly implementation (sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S) returns wrong results for some inputs where first double is a exact integer and the precision is determined by second long double. Checking on implementation comments and history, I am very confident the assembly implementation was based on a version before commit 5c68d401698a58cf7da150d9cce769fa6679ba5f that fixes BZ#2423 (Errors in long double (ldbl-128ibm) rounding functions in glibc-2.4). By just removing the implementation and make the build select sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c instead fixes the failing math. Fixes BZ#16706.
* PowerPC: remove wrong ceill implementation for PowerPC64Adhemerval Zanella2014-03-141-0/+9
| | | | | | | | | | | | | | | | The ceill assembly implementation (sysdeps/powerpc/powerpc64/fpu/s_ceill.S) returns wrong results for some inputs where first double is a exact integer and the precision is determined by second long double. Checking on implementation comments and history, I am very confident the assembly implementation was based on a version before commit 5c68d401698a58cf7da150d9cce769fa6679ba5f that fixes BZ#2423 (Errors in long double (ldbl-128ibm) rounding functions in glibc-2.4). By just removing the implementation and make the build select sysdeps/ieee754/ldbl-128ibm/s_ceill.c instead fixes the failing math. Fixes BZ#16701.
* Add truncl tests related to BZ#16414Adhemerval Zanella2014-03-141-0/+9
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* Fix nextafter overflow in non-default rounding modes (bug 16677).Joseph Myers2014-03-111-4/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ISO C requires the result of nextafter to be independent of the rounding mode, even when underflow or overflow occurs. This patch fixes the bug in various nextafter implementations that, having done an overflowing computation to force an overflow exception (correct), they then return the result of that computation rather than an infinity computed some other way (incorrect, when the overflowing result of arithmetic with that sign and rounding mode is finite but the correct result is infinite) - generally by falling through to existing code to return a value that in fact is correct for this case (but was computed by an integer increment and so without generating the exceptions required). Having fixed the bug, the previously deferred conversion of nextafter testing in libm-test.inc to ALL_RM_TEST is also included. Tested x86_64 and x86; also spot-checked results of nextafter tests for powerpc32 and mips64 to test the ldbl-128ibm and ldbl-128 changes. (The m68k change is untested.) [BZ #16677] * math/s_nextafter.c (__nextafter): Do not return value from overflowing computation. * sysdeps/i386/fpu/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/ieee754/flt-32/s_nextafterf.c (__nextafterf): Likewise. * sysdeps/ieee754/ldbl-128/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/m68k/m680x0/fpu/s_nextafterl.c (__nextafterl): Likewise. * math/libm-test.inc (nextafter_test): Use ALL_RM_TEST.
* Add libm-test.inc macro for all-rounding-modes testing.Joseph Myers2014-03-081-325/+73
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch adds support in libm-test.inc for automatically running tests of a function in all rounding modes, in the form of a macro ALL_RM_TEST to loop over all rounding modes when running tests of a function, and uses it for functions whose results should always be independent of the rounding mode. Conversion of tests of nextafter to ALL_RM_TEST was deferred because trying that conversion showed up bug 16677. (Finding such a bug of course illustrates the point of testing more systematically in all rounding modes rather than only reactively when bugs get reported in a particular function in a non-default mode.) Conversion of tests where results can depend on the rounding mode will follow once I add gen-libm-test.pl support for using different initializers for the expected results for different rounding modes (again, some conversions may need deferring until bugs are fixed, depending on how straightforward they are to XFAIL in a particular context). Some existing tests get run five times rather than four, with round-to-nearest tests both run in that as default rounding mode and also with it explicitly set with fesetround (FE_TONEAREST). This duplication doesn't seem particularly useful, so ALL_RM_TEST only runs tests four times. Tested x86_64 and x86. * math/libm-test.inc (ALL_RM_TEST): New macro. (ceil_test): Use ALL_RM_TEST. (cimag_test): Likewise. (conj_test): Likewise. (copysign_test): Likewise. (cproj_test): Likewise. (creal_test): Likewise. (fabs_test): Likewise. (floor_test): Likewise. (fmax_test): Likewise. (fmin_test): Likewise. (fmod_test): Likewise. (fpclassify_test): Likewise. (frexp_test): Likewise. (ilogb_test): Likewise. (isfinite_test): Likewise. (finite_test): Likewise. (isgreater_test): Likewise. (isgreaterequal_test): Likewise. (isinf_test): Likewise. (isless_test): Likewise. (islessequal_test): Likewise. (islessgreater_test): Likewise. (isnan_test): Likewise. (isnormal_test): Likewise. (issignaling_test): Likewise. (isunordered_test): Likewise. (logb_test): Likewise. (logb_downward_test_data): Remove. (logb_test_downward): Likewise. (lround_test): Use ALL_RM_TEST. (llround_test): Likewise. (modf_test): Likewise. (nexttoward_test): Likewise. (remainder_test): Likewise. (drem_test): Likewise. (remainder_tonearest_test_data): Likewise. (remainder_test_tonearest): Likewise. (drem_test_tonearest): Likewise. (remainder_towardzero_test_data): Likewise. (remainder_test_towardzero): Likewise. (drem_test_towardzero): Likewise. (remainder_downward_test_data): Likewise. (remainder_test_downward): Likewise. (drem_test_downward): Likewise. (remainder_upward_test_data): Likewise. (remainder_test_upward): Likewise. (drem_test_upward): Likewise. (remquo_test): Use ALL_RM_TEST. Remove comment about x. (round_test): Use ALL_RM_TEST. (signbit_test): Likewise. (trunc_test): Likewise. (significand_test): Likewise. (main): Don't call removed functions.
* Prepare libm-test.inc structures for multi-rounding-mode testing.Joseph Myers2014-03-061-80/+165
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | At present, libm-test.inc tests are run in multiple rounding modes by having a separate array for each rounding mode (which might or might not have the same test inputs as the other such arrays), a separate function calling a RUN_TEST_LOOP_* macro over that array, and a separate call to that function in main. The number of functions tested in multiple rounding modes has gradually increased as rounding-mode-specific bugs have been found and fixed in different functions. It would be better to be able to use a single macro call, in a single function, to run tests for a function over all rounding modes, with this being done for all libm functions except in cases where it's deferred until some bugs can be fixed because XFAILing all affected tests would be painful (that's why the full set of pow tests isn't currently run in all rounding modes). This patch helps prepare for that by making the structures storing expected results for tests store results for all four rounding modes. After this patch, the results for all modes are just duplicates, but tests access the appropriate field in the structure, so helping to pave the way for when the fields stop being duplicates and multiple rounding modes can be tested from a single array. Tests might in future specify a single set of results, to be used in all rounding modes; separate results for each rounding mode, specified manually; or use of auto-libm-tests-* to generate results for each rounding mode. Tested x86_64. * math/libm-test.inc (struct test_f_f_data): Move expected results into structure for each rounding mode. (struct test_ff_f_data): Likewise. (struct test_ff_f_data_nexttoward): Likewise. (struct test_fi_f_data): Likewise. (struct test_fl_f_data): Likewise. (struct test_if_f_data): Likewise. (struct test_fff_f_data): Likewise. (struct test_c_f_data): Likewise. (struct test_f_f1_data): Likewise. (struct test_fF_f1_data): Likewise. (struct test_ffI_f1_data): Likewise. (struct test_c_c_data): Likewise. (struct test_cc_c_data): Likewise. (struct test_f_i_data): Likewise. (struct test_ff_i_data): Likewise. (struct test_f_l_data): Likewise. (struct test_f_L_data): Likewise. (struct test_fFF_11_data): Likewise. (RM_): New macro. (RM_FE_DOWNWARD): Likewise. (RM_FE_TONEAREST): Likewise. (RM_FE_TOWARDZERO): Likewise. (RM_FE_UPWARD): Likewise. (RUN_TEST_LOOP_f_f): Update references to expected results. (RUN_TEST_LOOP_2_f): Likewise. (RUN_TEST_LOOP_fff_f): Likewise. (RUN_TEST_LOOP_c_f): Likewise. (RUN_TEST_LOOP_f_f1): Likewise. (RUN_TEST_LOOP_fF_f1): Likewise. (RUN_TEST_LOOP_fI_f1): Likewise. (RUN_TEST_LOOP_ffI_f1): Likewise. (RUN_TEST_LOOP_c_c): Likewise. (RUN_TEST_LOOP_cc_c): Likewise. (RUN_TEST_LOOP_f_i): Likewise. (RUN_TEST_LOOP_f_i_tg): Likewise. (RUN_TEST_LOOP_ff_i_tg): Likewise. (RUN_TEST_LOOP_f_b): Likewise. (RUN_TEST_LOOP_f_b_tg): Likewise. (RUN_TEST_LOOP_f_l): Likewise. (RUN_TEST_LOOP_f_L): Likewise. (RUN_TEST_LOOP_fFF_11): Likewise. * math/gen-libm-test.pl (parse_args): Output four copies of expected results for each test.
* Automatically check sanity of ulps from libm tests.Joseph Myers2014-03-051-191/+212
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch makes libm-test.inc apply sanity checks to ulps values resulting from tests, or found in libm-test-ulps files, to avoid the need for manual checking/editing of new ulps for cases that are excessively large or involve functions that should not have any ulps. For IBM long double, errors must be at most 14ulp (the largest currently checked-in value), or at most 3ulp (the documented error bound for division) in the case of exactly-determined functions; for other formats, the limits are 9ulp (also the largest currently checked-in value) and 0ulp. Limits from ulps files are saturated to those bounds, and regen-ulps will ignore any errors outside those bounds. (Thus if, say, you have an architecture-specific problem with fma, the tests can still be XFAILed in auto-libm-test-in, but errors outside the permitted range can no longer be listed in libm-test-ulps.) Tested x86_64. * math/libm-test.inc (max_valid_error): New variable. (init_max_error): Take new argument specifying whether function results are exactly determined. Set max_valid_error and bound other variables for errors based on this argument. (set_max_error): Do not record results above max_valid_error. (check_float_internal): Only accept errors of up to 0.5ulps if also at most max_valid_error. (START): Take new argument EXACT and pass it to init_max_error. (acos_test): Update call to START. (acos_test_tonearest): Likewise. (acos_test_towardzero): Likewise. (acos_test_downward): Likewise. (acos_test_upward): Likewise. (acosh_test): Likewise. (asin_test): Likewise. (asin_test_tonearest): Likewise. (asin_test_towardzero): Likewise. (asin_test_downward): Likewise. (asin_test_upward): Likewise. (asinh_test): Likewise. (atan_test): Likewise. (atanh_test): Likewise. (atan2_test): Likewise. (cabs_test): Likewise. (cacos_test): Likewise. (cacosh_test): Likewise. (carg_test): Likewise. (casin_test): Likewise. (casinh_test): Likewise. (catan_test): Likewise. (catanh_test): Likewise. (cbrt_test): Likewise. (ccos_test): Likewise. (ccosh_test): Likewise. (ceil_test): Likewise. (cexp_test): Likewise. (cimag_test): Likewise. (clog_test): Likewise. (clog10_test): Likewise. (conj_test): Likewise. (copysign_test): Likewise. (cos_test): Likewise. (cos_test_tonearest): Likewise. (cos_test_towardzero): Likewise. (cos_test_downward): Likewise. (cos_test_upward): Likewise. (cosh_test): Likewise. (cosh_test_tonearest): Likewise. (cosh_test_towardzero): Likewise. (cosh_test_downward): Likewise. (cosh_test_upward): Likewise. (cpow_test): Likewise. (cproj_test): Likewise. (creal_test): Likewise. (csin_test): Likewise. (csinh_test): Likewise. (csqrt_test): Likewise. (ctan_test): Likewise. (ctan_test_tonearest): Likewise. (ctan_test_towardzero): Likewise. (ctan_test_downward): Likewise. (ctan_test_upward): Likewise. (ctanh_test): Likewise. (ctanh_test_tonearest): Likewise. (ctanh_test_towardzero): Likewise. (ctanh_test_downward): Likewise. (ctanh_test_upward): Likewise. (erf_test): Likewise. (erfc_test): Likewise. (exp_test): Likewise. (exp_test_tonearest): Likewise. (exp_test_towardzero): Likewise. (exp_test_downward): Likewise. (exp_test_upward): Likewise. (exp10_test): Likewise. (exp10_test_tonearest): Likewise. (exp10_test_towardzero): Likewise. (exp10_test_downward): Likewise. (exp10_test_upward): Likewise. (pow10_test): Likewise. (exp2_test): Likewise. (expm1_test): Likewise. (expm1_test_tonearest): Likewise. (expm1_test_towardzero): Likewise. (expm1_test_downward): Likewise. (expm1_test_upward): Likewise. (fabs_test): Likewise. (fdim_test): Likewise. (floor_test): Likewise. (fma_test): Likewise. (fma_test_towardzero): Likewise. (fma_test_downward): Likewise. (fma_test_upward): Likewise. (fmax_test): Likewise. (fmin_test): Likewise. (fmod_test): Likewise. (fpclassify_test): Likewise. (frexp_test): Likewise. (hypot_test): Likewise. (ilogb_test): Likewise. (isfinite_test): Likewise. (finite_test): Likewise. (isgreater_test): Likewise. (isgreaterequal_test): Likewise. (isinf_test): Likewise. (isless_test): Likewise. (islessequal_test): Likewise. (islessgreater_test): Likewise. (isnan_test): Likewise. (isnormal_test): Likewise. (issignaling_test): Likewise. (isunordered_test): Likewise. (j0_test): Likewise. (j1_test): Likewise. (jn_test): Likewise. (ldexp_test): Likewise. (lgamma_test): Likewise. (gamma_test): Likewise. (lrint_test): Likewise. (lrint_test_tonearest): Likewise. (lrint_test_towardzero): Likewise. (lrint_test_downward): Likewise. (lrint_test_upward): Likewise. (llrint_test): Likewise. (llrint_test_tonearest): Likewise. (llrint_test_towardzero): Likewise. (llrint_test_downward): Likewise. (llrint_test_upward): Likewise. (log_test): Likewise. (log10_test): Likewise. (log1p_test): Likewise. (log2_test): Likewise. (logb_test): Likewise. (logb_test_downward): Likewise. (lround_test): Likewise. (llround_test): Likewise. (modf_test): Likewise. (nearbyint_test): Likewise. (nextafter_test): Likewise. (nexttoward_test): Likewise. (pow_test): Likewise. (pow_test_tonearest): Likewise. (pow_test_towardzero): Likewise. (pow_test_downward): Likewise. (pow_test_upward): Likewise. (remainder_test): Likewise. (drem_test): Likewise. (remainder_test_tonearest): Likewise. (drem_test_tonearest): Likewise. (remainder_test_towardzero): Likewise. (drem_test_towardzero): Likewise. (remainder_test_downward): Likewise. (drem_test_downward): Likewise. (remainder_test_upward): Likewise. (drem_test_upward): Likewise. (remquo_test): Likewise. (rint_test): Likewise. (rint_test_tonearest): Likewise. (rint_test_towardzero): Likewise. (rint_test_downward): Likewise. (rint_test_upward): Likewise. (round_test): Likewise. (scalb_test): Likewise. (scalbn_test): Likewise. (scalbln_test): Likewise. (signbit_test): Likewise. (sin_test): Likewise. (sin_test_tonearest): Likewise. (sin_test_towardzero): Likewise. (sin_test_downward): Likewise. (sin_test_upward): Likewise. (sincos_test): Likewise. (sinh_test): Likewise. (sinh_test_tonearest): Likewise. (sinh_test_towardzero): Likewise. (sinh_test_downward): Likewise. (sinh_test_upward): Likewise. (sqrt_test): Likewise. (sqrt_test_tonearest): Likewise. (sqrt_test_towardzero): Likewise. (sqrt_test_downward): Likewise. (sqrt_test_upward): Likewise. (tan_test): Likewise. (tan_test_tonearest): Likewise. (tan_test_towardzero): Likewise. (tan_test_downward): Likewise. (tan_test_upward): Likewise. (tanh_test): Likewise. (tgamma_test): Likewise. (trunc_test): Likewise. (y0_test): Likewise. (y1_test): Likewise. (yn_test): Likewise. (significand_test): Likewise.
* Don't include individual test ulps in libm-test-ulps.Joseph Myers2014-03-051-72/+30
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | As recently discussed <https://sourceware.org/ml/libc-alpha/2014-02/msg00670.html>, it doesn't seem particularly useful for libm-test-ulps files to contain huge amounts of data on ulps for individual tests; just the global maximum observed ulps for each function, together with the verification of exceptions, errno and special results such as infinities and NaNs for each test, suffices to verify that a function's behavior on the given test inputs is within the expected accuracy. Removing this data reduces source tree churn caused by updates to these files when libm tests are added, and reduces the frequency with which testsuite additions actually need libm-test-ulps changes at all. Accordingly, this patch removes that data, so that individual tests get checked against the global bounds for the given function and only generate an error if those are exceeded. Tested x86_64 (including verifying that if an ulps value is artificially reduced, the tests do indeed fail as they should and "make regen-ulps" generates the expected changes). * math/libm-test.inc (struct ulp_data): Don't refer to ulps for individual tests in comment. (libm-test-ulps.h): Don't refer to test_ulps in #include comment. (prev_max_error): New variable. (prev_real_max_error): Likewise. (prev_imag_max_error): Likewise. (compare_ulp_data): Don't refer to test names in comment. (find_test_ulps): Remove function. (find_function_ulps): Likewise. (find_complex_function_ulps): Likewise. (init_max_error): Take function name as argument. Look up ulps for that function. (print_ulps): Remove function. (print_max_error): Use prev_max_error instead of calling find_function_ulps. (print_complex_max_error): Use prev_real_max_error and prev_imag_max_error instead of calling find_complex_function_ulps. (check_float_internal): Take max_ulp parameter instead of calling find_test_ulps. Don't call print_ulps. (check_float): Update call to check_float_internal. (check_complex): Update calls to check_float_internal. (START): Pass argument to init_max_error. * math/gen-libm-test.pl (%results): Don't include "kind" information. (parse_ulps): Don't handle ulps of individual tests. (print_ulps_file): Likewise. (output_ulps): Likewise. * math/README.libm-test: Update. * manual/libm-err-tab.pl (parse_ulps): Don't handle ulps of individual tests. * sysdeps/aarch64/libm-test-ulps: Remove individual test ulps. * sysdeps/alpha/fpu/libm-test-ulps: Likewise. * sysdeps/arm/libm-test-ulps: Likewise. * sysdeps/i386/fpu/libm-test-ulps: Likewise. * sysdeps/ia64/fpu/libm-test-ulps: Likewise. * sysdeps/m68k/coldfire/fpu/libm-test-ulps: Likewise. * sysdeps/m68k/m680x0/fpu/libm-test-ulps: Likewise. * sysdeps/microblaze/libm-test-ulps: Likewise. * sysdeps/mips/mips32/libm-test-ulps: Likewise. * sysdeps/mips/mips64/libm-test-ulps: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Likewise. * sysdeps/powerpc/nofpu/libm-test-ulps: Likewise. * sysdeps/s390/fpu/libm-test-ulps: Likewise. * sysdeps/sh/libm-test-ulps: Likewise. * sysdeps/sparc/fpu/libm-test-ulps: Likewise. * sysdeps/tile/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise. * sysdeps/hppa/fpu/libm-test-ulps: Remove individual test ulps.
* Fix libm-test.inc:print_complex_max_error handling of some error cases.Joseph Myers2014-03-041-8/+15
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | When regenerating ulps incrementally with "make regen-ulps", the resulting diffs should only increase existing ulps, never decrease them. This allows successive uses of "make regen-ulps" on different hardware or with different compiler configurations to accumulate ulps that are sufficient for tests to pass in a variety of configurations. However, sometimes changes that decrease ulps are wrongly generated; thus, when applying <https://sourceware.org/ml/libc-alpha/2014-02/msg00605.html> I had to remove such changes manually. The problem is print_complex_max_error. If the ulps for either the real or the imaginary part of a function are out of range, this function prints the maximum ulps seen for both parts, which then replace those previously in libm-test-ulps. So if the ulps for one part are bigger than recorded before, but those for the other part are smaller, the diffs reduce existing ulps. This patch fixes the logic so that only increased ulps get printed. Tested x86_64 ("make math/tests", and "make regen-ulps" in a situation with ulps manually modified so one part would go up and the other down, to confirm the changes have the intended effect then). * math/libm-test.inc (print_complex_max_error): Check separately whether real and imaginary errors are within allowed range and pass 0 to print_complex_function_ulps instead of value within allowed range.
* Move tests of clog10 from libm-test.inc to auto-libm-test-in.Joseph Myers2014-02-191-156/+1
| | | | | | | | | | | | | | | | | | This patch moves tests of clog10 to auto-libm-test-in. Note that this means gen-auto-libm-tests will now depend on the recent MPC 1.0.2 release which added a fix for a bug that made gen-auto-libm-tests hang for clog10. (It still can't conveniently be used for cacos cacosh casin casinh catan catanh csin csinh because of extreme slowness of those functions for special cases in MPC; at least some slow cases of csin / csinh are fixed in MPC trunk, but not in a release.) Tested x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of clog10. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (clog10_test_data): Use AUTO_TESTS_c_c. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move tests of fma from libm-test.inc to auto-libm-test-in.Joseph Myers2014-02-181-856/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of fma to auto-libm-test-in, adding the required support to gen-auto-libm-tests. Because fma can have exact zero results depending on the rounding mode, results of fma cannot always be determined from a single value computed in higher precision with a sticky bit. Thus, this patch adds support for recomputing results with the original MPFR/MPC function in the case where an exact zero is involved. (This also affects some results for cpow; when we start testing cpow in all rounding modes, I think it will be most appropriate to make those tests use IGNORE_ZERO_INF_SIGN, since ISO C does not attempt to determine signs of zero results, or special caes in general, for cpow, and I think signs of zero for cpow are beyond the scope of glibc's accuracy goals.) Simply treating the existing test inputs for fma like those for other functions (i.e., as representing the given value rounded up or down to any of the supported floating-point formats) increases the size of auto-libm-test-out by about 16MB (i.e., about half the file is fma test data). While rounded versions of tests are perfectly reasonable test inputs for fma, in this case having them seems excessive, so this patch allows functions to specify in gen-auto-libm-tests that the given test inputs are only to be interpreted exactly, not as corresponding to values rounded up and down. This reduces the size of the generated test data for fma to a more reasonable 2MB. A consequence of this patch is that fma is now tested for correct presence or absence of "inexact" exceptions, where previously this wasn't tested because I didn't want to try to add that test coverage manually to all the existing tests. As far as I know, the existing fma implementations are already correct in this regard. This patch provides the first cases where the gen-auto-libm-tests support for distinguishing before-rounding/after-rounding underflow actually produces separate entries in auto-libm-test-out (for functions without exactly determined results, the affected cases are all considered underflow-optional, so this only affects functions like fma with exactly determined results). I didn't see any signs of problems with this logic in the output. Tested x86_64 and x86. * math/auto-libm-test-in: Add tests of fma. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (fma_test_data): Use AUTO_TESTS_fff_f. (fma_towardzero_test_data): Likewise. (fma_downward_test_data): Likewise. (fma_upward_test_data): Likewise. * math/gen-auto-libm-tests.c (rounding_mode_desc): Add field mpc_mode. (rounding_modes): Add values for new field. (func_calc_method): Add value mpfr_fff_f. (func_calc_desc): Add mpfr_fff_f union field. (test_function): Add field exact_args. (FUNC): Add macro argument EXACT_ARGS. (FUNC_mpfr_f_f): Update call to FUNC. (FUNC_mpfr_f_f): Likewise. (FUNC_mpfr_ff_f): Likewise. (FUNC_mpfr_if_f): Likewise. (FUNC_mpc_c_f): Likewise. (FUNC_mpc_c_c): Likewise. (test_functions): Add fma. Update calls to FUNC. (handle_input_arg): Add argument exact_args. (add_test): Update call to handle_input_arg. (calc_generic_results): Add argument mode. Handle mpfr_fff_f. (output_for_one_input_case): Update call to calc_generic_results. Recalculate exact zero results in each rounding mode.
* Update copyright notices with scripts/update-copyrightsAllan McRae2014-01-011-1/+1
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