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* Add more libm tests (fabs, fdim, fma, fmax, fmin, fmod).Joseph Myers2015-10-161-1/+223
| | | | | | | | | | | | | This patch improves the libm test coverage for a few more functions. Tested for x86_64 and x86. * math/libm-test.inc (fabs_test_data): Add more tests. (fdim_test_data): Likewise. (fma_test_data): Likewise. (fmax_test_data): Likewise. (fmin_test_data): Likewise. (fmod_test_data): Likewise.
* Add more tests for ceil, floor, round, trunc.Joseph Myers2015-10-161-5/+165
| | | | | | | | | | | | | | | | This patch adds more tests for ceil, floor, round and trunc, with a particular focus on verifying they don't raise spurious "inexact" exceptions for integer arguments (a C99 / C11 requirement, as opposed to the general principle that they shouldn't raise "inexact" for any arguments at all which is a TS 18661-1 requirement). Tested for x86_64 and x86. * math/libm-test.inc (ceil_test_data): Add more tests and more expectations for "inexact". (floor_test_data): Add more tests. (round_test_data): Likewise. (trunc_test_data): Likewise.
* Fix lrint, llrint missing exceptions close to overflow threshold (bug 19094).Joseph Myers2015-10-081-0/+217
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The dbl-64, ldbl-96 and ldbl-128 implementations of lrint and llrint fail to produce "invalid" exceptions in cases where the rounded result overflows the target type, but truncating the floating-point argument to the next integer towards zero does not overflow it (so in particular casts do not produce such exceptions). (This issue cannot arise for float, or for double with 64-bit target type, or for ldbl-96 with 64-bit target type and negative arguments, because of insufficient precision in the floating-point type for arguments with the relevant property to exist. It also obviously cannot arise in FE_TOWARDZERO mode.) This patch fixes these problems by inserting checks for the special cases that can occur in each implementation, and explicitly raising FE_INVALID (and avoiding the cast if it might raise spurious FE_INEXACT, while raising FE_INEXACT explicitly in the cases where it is needed; unlike lround and llround, FE_INEXACT is required, not optional, for these functions for a within-range inexact result). The fixes are conditional on FE_INVALID or FE_INEXACT being defined. If any future architecture supports one but not both of those exceptions, the code will fail to compile and need fixing to handle that case (this seemed better than conditioning on both macros being defined, resulting in code that would compile but quietly miss exceptions on such a system). Tested for x86_64, x86 and mips64. Tested the ldbl-96 changes (only relevant for ia64, it appears) on x86_64 by removing the x86_64 versions of lrintl / llrintl. [BZ #19094] * sysdeps/ieee754/dbl-64/s_lrint.c: Include <fenv.h> and <limits.h>. (__lrint) [FE_INVALID || FE_INEXACT]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-128/s_llrintl.c: Include <fenv.h> and <limits.h>. (__llrintl) [FE_INVALID || FE_INEXACT]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-128/s_lrintl.c: Include <fenv.h> and <limits.h>. (__lrintl) [FE_INVALID || FE_INEXACT]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-96/s_llrintl.c: Include <fenv.h> and <limits.h>. (__llrintl) [FE_INVALID || FE_INEXACT]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-96/s_lrintl.c: Include <fenv.h> and <limits.h>. (__lrintl) [FE_INVALID || FE_INEXACT]: Force FE_INVALID exception when result overflows but exception would not result from cast. * math/libm-test.inc (lrint_test_data): Add more tests. (llrint_test_data): Likewise.
* Correct "inexact" expectations in lround, llround tests.Joseph Myers2015-10-081-6/+6
| | | | | | | | | | | | | | | I noticed that some of my recently added tests of lround and llround wrongly expected the "inexact" exception to be absent for certain within-range non-integer arguments. (It's unspecified whether this exception is present or not for within-range non-integer arguments; it mustn't be present for integer arguments and out-of-range arguments.) This patch corrects those expectations. Tested for x86_64 and x86. * math/libm-test.inc (lround_test_data): Do not expect the absence of "inexact" for some tests with non-integer arguments. (llround_test_data): Likewise.
* Fix lround, llround missing exceptions close to overflow threshold (bug 19088).Joseph Myers2015-10-071-0/+185
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The dbl-64, ldbl-96 and ldbl-128 implementations of lround and llround fail to produce "invalid" exceptions in cases where the rounded result overflows the target type, but truncating the floating-point argument to the next integer towards zero does not overflow it (so in particular casts do not produce such exceptions). (This issue cannot arise for float, or for double with 64-bit target type, or for ldbl-96 with 64-bit target type and negative arguments, because of insufficient precision in the floating-point type for arguments with the relevant property to exist.) This patch fixes these problems by inserting checks for the special cases that can occur in each implementation, and explicitly raising FE_INVALID (and avoiding the cast if it might raise spurious FE_INEXACT). Tested for x86_64, x86 and mips64. [BZ #19088] * sysdeps/ieee754/dbl-64/s_lround.c: Include <fenv.h> and <limits.h>. (__lround) [FE_INVALID]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/dbl-64/wordsize-64/s_lround.c: Include <fenv.h> and <limits.h>. (__lround) [FE_INVALID]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-128/s_llroundl.c: Include <fenv.h> and <limits.h>. (__llroundl) [FE_INVALID]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-128/s_lroundl.c: Include <fenv.h> and <limits.h>. (__lroundl) [FE_INVALID]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-96/s_llroundl.c: Include <fenv.h> and <limits.h>. (__llroundl) [FE_INVALID]: Force FE_INVALID exception when result overflows but exception would not result from cast. * sysdeps/ieee754/ldbl-96/s_lroundl.c: Include <fenv.h> and <limits.h>. (__lroundl) [FE_INVALID]: Force FE_INVALID exception when result overflows but exception would not result from cast. * math/libm-test.inc (lround_test_data): Add more tests. (llround_test_data): Likewise.
* Add more tests of lrint, llrint, lround, llround.Joseph Myers2015-10-061-0/+100
| | | | | | | | | | | | | This patch adds more tests of lrint, llrint, lround and llround, to cover various standard special cases not previously covered, and more tests of overflow. Tested for x86_64 and x86. * math/libm-test.inc (lrint_test_data): Add more tests. (llrint_test_data): Likewise. (lround_test_data): Likewise. (llround_test_data): Likewise.
* Use same test inputs for lrint and llrint.Joseph Myers2015-10-061-0/+119
| | | | | | | | | | | This patch makes lrint and llrint use the same test inputs in libm-test.inc, appropriately conditioned on LONG_MAX in the lrint case. Tested for x86_64 and x86. * math/libm-test.inc (lrint_test_data): Add tests used for llrint. (llrint_test_data): Add tests used for lrint.
* Add more scalb test expectations for "inexact" exception.Joseph Myers2015-10-061-45/+48
| | | | | | | | | | | | | | This patch adds more libm-test.inc expectations for the "inexact" exception for scalb, in all cases except those with a non-integer second argument (where results are unspecified by POSIX, so the function does not count as fully determined and the spurious "inexact" exceptions raised by the existing implementations alongside "invalid" are OK). Tested for x86_64 and x86. * math/libm-test.inc (scalb_test_data): Add more expectations for the "inexact" exception.
* Fix ldbl-96 lroundl just below powers of 2 (bug 19071).Joseph Myers2015-10-051-11/+159
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The ldbl-96 version of lroundl is incorrect for systems with 64-bit long when the argument's absolute value is just below a power of 2, 2^32 or more, and rounds up to the next integer; in such cases, it returns 0. The problem is incrementing the high part of the mantissa loses the high bit of the value (which is not an issue for any other floating-point format, and is handled specially in lround when the bit corresponding to 0.5 was in the high part rather than the low part). This patch fixes this in a similar way to that used in llroundl: storing the high part in an unsigned long variable before incrementing it, so problems cannot occur in the case when this code is reachable. I improved test coverage for both lround and llround by making them use the same test inputs (appropriately conditioned on the size of long in the lround case) - complete with the same comments, to make comparison as easy as possible. (This test coverage improvement was how I found the lroundl bug.) Tested for x86_64 and x86. [BZ #19071] * sysdeps/ieee754/ldbl-96/s_lroundl.c (__lroundl): Use unsigned long int variable to store possibly incremented high part of mantissa. * math/libm-test.inc (lround_test_data): Add tests used for llround. Use [LONG_MAX > 0x7fffffff] consistently as condition for tests requiring 64-bit long. Do not condition tests on [TEST_FLOAT] unnecessarily. (llround_test_data): Add tests used for lround. Add another expectation for the "inexact" exception. Do not condition tests on [TEST_FLOAT] unnecessarily.
* Fix nexttoward overflow in non-default rounding modes (bug 19059).Joseph Myers2015-10-022-2/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ISO C requires overflowing results from nexttoward to be the appropriate infinity independent of the rounding mode, but some implementations use a rounding-mode-dependent result (this is the same issue as was fixed for nextafter in bug 16677). This patch fixes the problem by making the nexttoward implementations discard the result from the floating-point computation that forced an overflow exception and then return the infinity previously computed with integer arithmetic. Tested for x86_64, x86, mips64 and powerpc. [BZ #19059] * math/s_nexttowardf.c (__nexttowardf): Do not return value from overflowing computation. * sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf): Likewise. * math/libm-test.inc (nexttoward_test_data): Add more tests.
* Fix ldbl-128 / ldbl-128ibm lgamma overflow handling (bug 16347, bug 19046).Joseph Myers2015-10-012-0/+660
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | The ldbl-128 / ldbl-128ibm implementation of lgamma has problems with its handling of large arguments. It has an overflow threshold that is correct only for ldbl-128, despite being used for both types - with diagnostic control macros as a temporary measure to disable warnings about that constant overflowing for ldbl-128ibm - and it has a calculation that's roughly x * log(x) - x, resulting in overflows for arguments that are roughly at most a factor 1/log(threshold) below the overflow threshold. This patch fixes both issues, using an overflow threshold appropriate for the type in question and adding another case for large arguments that avoids the possible intermediate overflow. Tested for x86_64, x86, mips64 and powerpc. [BZ #16347] [BZ #19046] * sysdeps/ieee754/ldbl-128/e_lgammal_r.c: Do not include <libc-internal.h>. (MAXLGM): Do not use diagnostic control macros. [LDBL_MANT_DIG == 106] (MAXLGM): Change value to overflow threshold for ldbl-128ibm. (__ieee754_lgammal_r): For large arguments, multiply by log - 1 instead of multiplying by log then subtracting. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated.
* Use type-specific precision when printing results in libm-test.inc.Joseph Myers2015-10-011-3/+16
| | | | | | | | | | | | | | | | | | | | | | | | | When libm-test.inc prints the results of failing tests, the output can be unhelpful for ldbl-128 and ldbl-128ibm because the precision used is insufficient to distinguish values of those types, resulting in reported values that look identical but differ by a large number of ulps. This patch changes it to use a precision appropriate for the type, for both decimal and hex output (so output for float is more compact, output for ldbl-128 and ldbl-128ibm is substantially wider). The natural precision to use for decimal is given by the C11 <float.h> macros such as FLT_DECIMAL_DIG. GCC's <float.h> only defines those in C11 mode, so this patch uses the predefines such as __FLT_DECIMAL_DIG__ (added in GCC 4.6) instead; if we move to building with -std=gnu11 (or -std=gnu1x if we can't get rid of 4.6 support). Tested for powerpc and mips64. * math/libm-test.inc (TYPE_DECIMAL_DIG): New macro. (TYPE_HEX_DIG): Likewise. (print_float): Use TYPE_DECIMAL_DIG - 1 and TYPE_HEX_DIG - 1 as precisions when printing floating-point numbers. (check_float_internal): Likewise.
* Fix i386 acosh (-qNaN) spurious "invalid" exception.Joseph Myers2015-09-301-0/+1
| | | | | | | | | | | | | | | | | | The i386 versions of acoshf and acosh raise a spurious "invalid" exception for an argument that is a quiet NaN with the sign bit set. The integer arithmetic to detect arguments < 1 also detects -NaN, and then the computation 0 / 0 in that case raises the exception. This patch fixes this by using (x - x) / (x - x) as the computation in that case instead, which will always raise the exception for non-NaN arguments reaching that code, but not for quiet NaN arguments. Tested for x86_64 and x86. [BZ #19032] * sysdeps/i386/fpu/e_acosh.S (__ieee754_acosh): For arguments < 1, compute result as (x - x) / (x - x) not as 0 / 0. * sysdeps/i386/fpu/e_acoshf.S (__ieee754_acoshf): Likewise. * math/libm-test.inc (acosh_test_data): Add another test of acosh.
* Improve test coverage of real libm functions [a-e]*.Joseph Myers2015-09-303-7/+18864
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch improves test coverage of the real libm functions [a-e]*, ensuring that special cases and ranges of input values of potential significance (such as close to overflow and underflow thresholds) are more systematically covered. This is a followup to <https://sourceware.org/ml/libc-alpha/2013-12/msg00757.html> which covered [a-c]* (however, I found more weaknesses in the coverage of those functions when preparing this patch, hence the additional tests being added for them here). Addition of a test for acosh (-qNaN) is temporarily deferred, to be included as part of a fix for bug 19032 which was discovered in the course of adding these tests (and which illustrates the use of testing -qNaN as well as +qNaN as input even to functions for which the sign of a NaN isn't meant to be significant). Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of acos, acosh, asin, atan, atan2, atanh, cbrt, cos, cosh, erf, erfc, exp, exp10, exp2 and expm1. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (acos_test_data): Add more tests. (asin_test_data): Likewise. (asinh_test_data): Likewise. (atan_test_data): Likewise. (atanh_test_data): Likewise. (atan2_test_data): Likewise. (cbrt_test_data): Likewise. (ceil_test_data): Likewise. (copysign_test_data): Likewise. (cos_test_data): Likewise. (cosh_test_data): Likewise. (erf_test_data): Likewise. (erfc_test_data): Likewise. (exp_test_data): Likewise. (exp10_test_data): Likewise. (exp2_test_data): Likewise. (expm1_test_data): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Refine errno / "inexact" expectations in libm-test.inc.Joseph Myers2015-09-301-1564/+1572
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch makes math/libm-test.inc more consistent regarding including expectations for errno setting and "inexact" exceptions where expected test results are given manually. Mostly this is a matter of including ERRNO_UNCHANGED in expectations, but there are also some cases where expectations regarding "inexact" were missing for exactly determined functions (especially in cases where some other exception was expected and it should also have been expected that "inexact" was not set with that other exception), and one case for pow where the NO_INEXACT_EXCEPTION expectation should not have been there (the rule about not having "inexact" exceptions for NaN arguments is only when those NaN arguments produce NaN results). I deferred making such changes for complex functions and scalb. Tested for x86_64 and x86. * math/libm-test.inc (acos_test_data): Refine expectations for errno and "inexact" exceptions. (acosh_test_data): Likewise. (asin_test_data): Likewise. (asinh_test_data): Likewise. (atan_test_data): Likewise. (atanh_test_data): Likewise. (atan2_test_data): Likewise. (cbrt_test_data): Likewise. (ceil_test_data): Likewise. (copysign_test_data): Likewise. (cosh_test_data): Likewise. (erf_test_data): Likewise. (erfc_test_data): Likewise. (exp_test_data): Likewise. (exp10_test_data): Likewise. (exp2_test_data): Likewise. (expm1_test_data): Likewise. (fabs_test_data): Likewise. (floor_test_data): Likewise. (fma_test_data): Likewise. (fmax_test_data): Likewise. (fmin_test_data): Likewise. (fmod_test_data): Likewise. (fpclassify_test_data): Likewise. (frexp_test_data): Likewise. (hypot_test_data): Likewise. (ilogb_test_data): Likewise. (isgreater_test_data): Likewise. (isgreaterequal_test_data): Likewise. (isinf_test_data): Likewise. (isless_test_data): Likewise. (islessequal_test_data): Likewise. (islessgreater_test_data): Likewise. (isnan_test_data): Likewise. (isnormal_test_data): Likewise. (issignaling_test_data): Likewise. (isunordered_test_data): Likewise. (j0_test_data): Likewise. (j1_test_data): Likewise. (jn_test_data): Likewise. (lgamma_test_data): Likewise. (lrint_test_data): Likewise. (llrint_test_data): Likewise. (log_test_data): Likewise. (log10_test_data): Likewise. (log1p_test_data): Likewise. (log2_test_data): Likewise. (logb_test_data): Likewise. (lround_test_data): Likewise. (llround_test_data): Likewise. (modf_test_data): Likewise. (nearbyint_test_data): Likewise. (nextafter_test_data): Likewise. (nexttoward_test_data): Likewise. (pow_test_data): Likewise. (remainder_test_data): Likewise. (remquo_test_data): Likewise. (rint_test_data): Likewise. (round_test_data): Likewise. (signbit_test_data): Likewise. (sinh_test_data): Likewise. (sqrt_test_data): Likewise. (tanh_test_data): Likewise. (tgamma_test_data): Likewise. (trunc_test_data): Likewise. (y0_test_data): Likewise. (y1_test_data): Likewise. (yn_test_data): Likewise. (significand_test_data): Likewise.
* Fix clog, clog10 inaccuracy (bug 19016).Joseph Myers2015-09-288-12/+6608
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | For arguments with X^2 + Y^2 close to 1, clog and clog10 avoid large errors from log(hypot) by computing X^2 + Y^2 - 1 in a way that avoids cancellation error and then using log1p. However, the thresholds for using that approach still result in log being used on argument as large as sqrt(13/16) > 0.9, leading to significant errors, in some cases above the 9ulp maximum allowed in glibc libm. This patch arranges for the approach using log1p to be used in any cases where |X|, |Y| < 1 and X^2 + Y^2 >= 0.5 (with the existing allowance for cases where one of X and Y is very small), adjusting the __x2y2m1 functions to work with the wider range of inputs. This way, log only gets used on arguments below sqrt(1/2) (or substantially above 1), where the error involved is much less. Tested for x86_64, x86, mips64 and powerpc. For the ulps regeneration I removed the existing clog and clog10 ulps before regenerating to allow any reduced ulps to appear. Tests added include those found by random test generation to produce large ulps either before or after the patch, and some found by trying inputs close to the (0.75, 0.5) threshold where the potential errors from using log are largest. [BZ #19016] * sysdeps/generic/math_private.h (__x2y2m1f): Update comment to allow more cases with X^2 + Y^2 >= 0.5. * sysdeps/ieee754/dbl-64/x2y2m1.c (__x2y2m1): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * sysdeps/ieee754/dbl-64/x2y2m1f.c (__x2y2m1f): Update comment. * sysdeps/ieee754/ldbl-128/x2y2m1l.c (__x2y2m1l): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * sysdeps/ieee754/ldbl-128ibm/x2y2m1l.c (__x2y2m1l): Likewise. * sysdeps/ieee754/ldbl-96/x2y2m1.c [FLT_EVAL_METHOD != 0] (__x2y2m1): Update comment. * sysdeps/ieee754/ldbl-96/x2y2m1l.c (__x2y2m1l): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * math/s_clog.c (__clog): Handle more cases using log1p without hypot. * 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/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.
* Fix powf inaccuracy (bug 18956).Joseph Myers2015-09-262-0/+26
| | | | | | | | | | | | | | | | | | | | | | The flt-32 version of powf can be inaccurate because of bugs in the extra-precision calculation of (x-1)/(x+1) or (x-1.5)/(x+1.5) as part of calculating log(x) with extra precision: a constant used (as part of adding 1 or 1.5 through integer arithmetic) is incorrect, and then the code fails to mask a computed high part before using it in arithmetic that relies on s_h*t_h being exactly representable. This patch fixes these bugs. Tested for x86_64 and x86. x86_64 ulps for powf removed and regenerated to reflect reduced ulps from the increased accuracy for existing tests. [BZ #18956] * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Add 0x00400000 not 0x0040000 for high bit of mantissa. Mask with 0xfffff000 when extracting high part. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix pow missing underflows (bug 18825).Joseph Myers2015-09-252-0/+3789
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, pow functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down (or, in the i386 case, converted from a wider evaluation format) are zero. This patch forces the exception in a similar way to previous fixes, thereby concluding the fixes for known bugs with missing underflow exceptions currently filed in Bugzilla. Tested for x86_64, x86, mips64 and powerpc. [BZ #18825] * sysdeps/i386/fpu/i386-math-asm.h (FLT_NARROW_EVAL_UFLOW_NONNAN): New macro. (DBL_NARROW_EVAL_UFLOW_NONNAN): Likewise. (LDBL_CHECK_FORCE_UFLOW_NONNAN): Likewise. * sysdeps/i386/fpu/e_pow.S: Use DEFINE_DBL_MIN. (__ieee754_pow): Use DBL_NARROW_EVAL_UFLOW_NONNAN instead of DBL_NARROW_EVAL, reloading the PIC register as needed. * sysdeps/i386/fpu/e_powf.S: Use DEFINE_FLT_MIN. (__ieee754_powf): Use FLT_NARROW_EVAL_UFLOW_NONNAN instead of FLT_NARROW_EVAL. Use separate return path for case when first argument is NaN. * sysdeps/i386/fpu/e_powl.S: Include <i386-math-asm.h>. Use DEFINE_LDBL_MIN. (__ieee754_powl): Use LDBL_CHECK_FORCE_UFLOW_NONNAN, reloading the PIC register. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Force underflow for subnormal result. * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Use math_check_force_underflow_nonneg. * sysdeps/x86/fpu/powl_helper.c (__powl_helper): Use math_check_force_underflow. * sysdeps/x86_64/fpu/x86_64-math-asm.h (LDBL_CHECK_FORCE_UFLOW_NONNAN): New macro. * sysdeps/x86_64/fpu/e_powl.S: Include <x86_64-math-asm.h>. Use DEFINE_LDBL_MIN. (__ieee754_powl): Use LDBL_CHECK_FORCE_UFLOW_NONNAN. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated.
* Fix hypot missing underflows (bug 18803).Joseph Myers2015-09-242-0/+1349
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, hypot functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down (or, in the i386 case, converted from a wider evaluation format) are zero. This patch forces the exception in a similar way to previous fixes. Note that this issue cannot arise for implementations of hypotf using double (or wider) for intermediate evaluation (if hypotf should underflow, that means the double square root is being computed of some number of the form N*2^-298, for 0 < N < 2^46, which is exactly represented as a double, and whatever the rounding mode such a square root cannot have a mantissa with all zeroes after the initial 23 bits). Thus no changes are made to hypotf implementations in this patch, only to hypot and hypotl. Tested for x86_64, x86, mips64 and powerpc. [BZ #18803] * sysdeps/i386/fpu/e_hypot.S: Use DEFINE_DBL_MIN. (MO): New macro. (__ieee754_hypot) [PIC]: Load PIC register. (__ieee754_hypot): Use DBL_NARROW_EVAL_UFLOW_NONNEG instead of DBL_NARROW_EVAL. * sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Use math_check_force_underflow_nonneg in case where result might be tiny. * sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/powerpc/fpu/e_hypot.c (__ieee754_hypot): Likewise. * math/auto-libm-test-in: Add more tests of hypot. * math/auto-libm-test-out: Regenerated.
* Refactor code forcing underflow exceptions.Joseph Myers2015-09-2337-368/+46
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various floating-point functions have code to force underflow exceptions if a tiny result was computed in a way that might not have resulted in such exceptions even though the result is inexact. This typically uses math_force_eval to ensure that the underflowing expression is evaluated, but sometimes uses volatile. This patch refactors such code to use three new macros math_check_force_underflow, math_check_force_underflow_nonneg and math_check_force_underflow_complex (which in turn use math_force_eval). In the limited number of cases not suited to a simple conversion to these macros, existing uses of volatile are changed to use math_force_eval instead. The converted code does not always execute exactly the same sequence of operations as the original code, but the overall effects should be the same. Tested for x86_64, x86, mips64 and powerpc. * sysdeps/generic/math_private.h (fabs_tg): New macro. (min_of_type): Likewise. (math_check_force_underflow): Likewise. (math_check_force_underflow_nonneg): Likewise. (math_check_force_underflow_complex): Likewise. * math/e_exp2l.c (__ieee754_exp2l): Use math_check_force_underflow_nonneg. * math/k_casinh.c (__kernel_casinh): Likewise. * math/k_casinhf.c (__kernel_casinhf): Likewise. * math/k_casinhl.c (__kernel_casinhl): Likewise. * math/s_catan.c (__catan): Use math_check_force_underflow_complex. * 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. * math/s_ccosh.c (__ccosh): Likewise. * math/s_ccoshf.c (__ccoshf): Likewise. * math/s_ccoshl.c (__ccoshl): Likewise. * math/s_cexp.c (__cexp): Likewise. * math/s_cexpf.c (__cexpf): Likewise. * math/s_cexpl.c (__cexpl): Likewise. * math/s_clog.c (__clog): Use math_check_force_underflow_nonneg. * 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/s_csin.c (__csin): Use math_check_force_underflow_complex. * 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/s_csqrt.c (__csqrt): Use math_check_force_underflow. * math/s_csqrtf.c (__csqrtf): Likewise. * math/s_csqrtl.c (__csqrtl): Likewise. * math/s_ctan.c (__ctan): Use math_check_force_underflow_complex. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * stdlib/strtod_l.c (round_and_return): Use math_force_eval instead of volatile. * sysdeps/ieee754/dbl-64/e_asin.c (__ieee754_asin): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/e_atanh.c (__ieee754_atanh): Likewise. * sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Do not use volatile when forcing underflow. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c (__ieee754_sinh): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c (__asinh): Likewise. * sysdeps/ieee754/dbl-64/s_atan.c (atan): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/s_erf.c (__erf): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/s_expm1.c (__expm1): Likewise. * sysdeps/ieee754/dbl-64/s_fma.c (__fma): Use math_force_eval instead of volatile. * sysdeps/ieee754/dbl-64/s_log1p.c (__log1p): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/s_sin.c (__sin): Likewise. * sysdeps/ieee754/dbl-64/s_tan.c (tan): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/s_tanh.c (__tanh): Use math_check_force_underflow. * sysdeps/ieee754/flt-32/e_asinf.c (__ieee754_asinf): Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c (__ieee754_atanhf): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Use math_check_force_underflow. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c (__ieee754_sinhf): Likewise. * sysdeps/ieee754/flt-32/k_sinf.c (__kernel_sinf): Likewise. * sysdeps/ieee754/flt-32/k_tanf.c (__kernel_tanf): Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c (__asinhf): Likewise. * sysdeps/ieee754/flt-32/s_atanf.c (__atanf): Likewise. * sysdeps/ieee754/flt-32/s_erff.c (__erff): Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c (__expm1f): Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c (__log1pf): Likewise. * sysdeps/ieee754/flt-32/s_tanhf.c (__tanhf): Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-128/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c (__ieee754_expl): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128/s_atanl.c (__atanl): Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Likewise. * sysdeps/ieee754/ldbl-128/s_fmal.c (__fmal): Use math_force_eval instead of volatile. * sysdeps/ieee754/ldbl-128/s_log1pl.c (__log1pl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c (__atanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-96/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-96/k_tanl.c (__kernel_tanl): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-96/s_asinhl.c (__asinhl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-96/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c (__fmal): Use math_force_eval instead of volatile. * sysdeps/ieee754/ldbl-96/s_tanhl.c (__tanhl): Use math_check_force_underflow.
* Use math_narrow_eval more consistently.Joseph Myers2015-09-231-4/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Where glibc code needs to avoid excess range and precision in floating-point arithmetic, code variously uses either asms or volatile to force the results of that arithmetic to memory; mostly this is conditional on FLT_EVAL_METHOD, but in the case of lrint / llrint functions some use of volatile is unconditional (and is present unnecessarily in versions for long double). This patch make such code use the recently-added math_narrow_eval macro consistently, removing the unnecessary uses of volatile in long double lrint / llrint implementations completely. Tested for x86_64, x86, mips64 and powerpc. * math/s_nexttowardf.c (__nexttowardf): Use math_narrow_eval. * stdlib/strtod_l.c: Include <math_private.h>. (overflow_value): Use math_narrow_eval. (underflow_value): Likewise. * sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Likewise. (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/gamma_productf.c (__gamma_productf): Likewise. * sysdeps/ieee754/dbl-64/k_rem_pio2.c (__kernel_rem_pio2): Likewise. * sysdeps/ieee754/dbl-64/lgamma_neg.c (__lgamma_neg): Likewise. * sysdeps/ieee754/dbl-64/s_erf.c (__erfc): Likewise. * sysdeps/ieee754/dbl-64/s_llrint.c (__llrint): Likewise. * sysdeps/ieee754/dbl-64/s_lrint.c (__lrint): Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise. (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/k_rem_pio2f.c (__kernel_rem_pio2f): Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c (__lgamma_negf): Likewise. * sysdeps/ieee754/flt-32/s_erff.c (__erfcf): Likewise. * sysdeps/ieee754/flt-32/s_llrintf.c (__llrintf): Likewise. * sysdeps/ieee754/flt-32/s_lrintf.c (__lrintf): Likewise. * sysdeps/ieee754/ldbl-128/s_llrintl.c (__llrintl): Do not use volatile. * sysdeps/ieee754/ldbl-128/s_lrintl.c (__lrintl): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Use math_narrow_eval. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-96/gamma_product.c (__gamma_product): Likewise. * sysdeps/ieee754/ldbl-96/s_llrintl.c (__llrintl): Do not use volatile. * sysdeps/ieee754/ldbl-96/s_lrintl.c (__lrintl): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Use math_narrow_eval. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf): Likewise.
* Really fix sysdeps/i386/fpu/s_scalbn.S buildSamuel Thibault2015-09-191-1/+1
| | | | | * math/Versions (libc: GLIBC_2_20): New (empty) version set. (libc: GLIBC_2_22): Remove unused version set.
* Cleanup a few cases where isinf is used to get the signbit to improve the ↵Wilco Dijkstra2015-09-183-3/+3
| | | | | | | | | | | | | | readability and maintainability and allow inlining. 2015-09-18 Wilco Dijkstra <wdijkstr@arm.com> * math/w_tgamma.c (__ieee754_gamma_r): Use explicit sign check. * math/w_tgammaf.c (__ieee754_gammaf_r): Likewise. * math/w_tgammal.c (__ieee754_gammal_r): Likewise. * stdio-common/printf_fp.c (___printf_fp): Use signbit to get the sign. Use isinf macro to allow inlining. * stdio-common/printf_fphex.c (__printf_fphex): Likewise. * stdio-common/printf_size.c (__printf_size): Likewise.
* Since we now inline isinf, isnan and isfinite in math.h, replace uses of ↵Wilco Dijkstra2015-09-1824-48/+48
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | __isinf_ns(l/f) with isinf, and remove the unused inlines __isinf_ns(l/f), __isnan(f) and __finite(f). 2015-09-18 Wilco Dijkstra <wdijkstr@arm.com> * include/math.h: Remove __isinf_ns, __isinf_nsf, __isinf_nsl. * math/Makefile: Remove isinf_ns.c. * math/divtc3.c (__divtc3): Replace __isinf_nsl with isinf. * math/multc3.c (__multc3): Likewise. * math/s_casin.c (__casin): Likewise. * math/s_casinf.c (__casinf): Likewise. * math/s_casinl.c (__casinl): Likewise. * math/s_cproj.c (__cproj): Likewise. * math/s_cprojf.c (__cprojf): Likewise. * math/s_cprojl.c (__cprofl): Likewise. * math/s_ctan.c (__ctan): Likewise. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * math/w_fmod.c (__fmod): Likewise. * math/w_fmodf.c (__fmodf): Likewise. * math/w_fmodl.c (_fmodl): Likewise. * math/w_remainder.c (__remainder): Likewise. * math/w_remainderf.c (__remainderf): Likewise. * math/w_remainderl.c (__remainderl): Likewise. * math/w_scalb.c (__scalb): Likewise. * math/w_scalbf.c (__scalbf): Likewise. * math/w_scalbl.c (__scalbl): Likewise. * sysdeps/ieee754/dbl-64/s_isinf_ns.c: Deleted file. * sysdeps/ieee754/dbl-64/s_sincos.c (__sincos): Replace __isinf_ns with isinf. * sysdeps/ieee754/dbl-64/wordsize-64/math_private.h: Deleted file. * sysdeps/ieee754/dbl-64/wordsize-64/s_isinf_ns.c: Deleted file. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Replace __isinf_nsf with isinf. * sysdeps/ieee754/flt-32/math_private.h: Deleted file. * sysdeps/ieee754/flt-32/s_isinf_nsf.c: Deleted file. * sysdeps/ieee754/ldbl-128/s_isinf_nsl.c: Deleted file. * sysdeps/ieee754/ldbl-128/s_sincosl.c (__sincosl): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-128ibm/s_cprojl.c(__cprojll): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-128ibm/s_ctanl.c(__ctanl): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-128ibm/s_isinf_nsl.c: Deleted file. * sysdeps/ieee754/ldbl-128ibm/s_sincosl.c (__sincosl): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-96/s_isinf_nsl.c: Deleted file. * sysdeps/ieee754/ldbl-96/s_sincosl.c (__sincosl): Replace __isinf_nsl with isinf.
* Add inlining of the C99 math functions ↵Wilco Dijkstra2015-09-182-9/+36
| | | | | | | | | | | | | | | | | | | | | isinf/isnan/signbit/isfinite/isnormal/fpclassify using GCC built-ins when available. Since going through the PLT is expensive for these small functions, inlining results in major speedups (about 7x on Cortex-A57 for isinf). The GCC built-ins are not correct if signalling NaN support is required, and thus are turned off in that case (see GCC bug 66462). The test-snan.c tests sNaNs and so must be explicitly built with -fsignaling-nans. 2015-09-18 Wilco Dijkstra <wdijkstr@arm.com> [BZ #15367] [BZ #17441] * math/Makefile: Build test-snan.c with -fsignaling-nans. * math/math.h (fpclassify): Use __builtin_fpclassify when available. (signbit): Use __builtin_signbit(f/l). (isfinite): Use__builtin_isfinite. (isnormal): Use __builtin_isnormal. (isnan): Use __builtin_isnan. (isinf): Use __builtin_isinf_sign.
* Fix sign of zero part from ctan / ctanh when argument infinite (bug 17118).Joseph Myers2015-09-177-6/+176
| | | | | | | | | | | | | | | | | | | | | | | | | | | C99/C11 Annex G specifies the sign of the zero part of the result of ctan (x +/- i * Inf) and ctanh (+/-Inf + i * y). This patch fixes glibc to follow that specification, along the lines I described in my review of Andreas's previous patch for this issue <https://sourceware.org/ml/libc-alpha/2014-08/msg00142.html>. Tested for x86_64. 2015-09-17 Joseph Myers <joseph@codesourcery.com> Andreas Schwab <schwab@suse.de> [BZ #17118] * math/s_ctan.c (__ctan): Determine sign of zero real part of result when imaginary part of argument is infinite using sine and cosine. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * math/s_ctanh.c (__ctanh): Determine sign of zero imaginary part of result when real part of argument is infinite using sine and cosine. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/libm-test.inc (ctan_test_data): Add more tests of ctan. (ctanh_test_data): Add more tests of ctanh.
* Fix tgamma missing underflows (bug 18951).Joseph Myers2015-09-172-0/+1041
| | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, tgamma functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down are zero. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, mips64 and powerpc. [BZ #18951] * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Force underflow exception for small results. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Likewise. * math/auto-libm-test-in: Add more tests of tgamma. * math/auto-libm-test-out: Regenerated.
* Don't declare float / long double Bessel functions for XSI POSIX (bug 18977).Joseph Myers2015-09-161-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The float and long double versions of Bessel function (j0f, y1l, etc.) are not in POSIX; only the double versions are. This patch accordingly limits the declarations of those functions to __USE_MISC, and fixes the conform/ test expectations which matched the previous incorrect declarations. Tested for x86_64 and x86 (testsuite, and that installed stripped shared libraries are unchanged by this patch). [BZ #18977] * math/bits/mathcalls.h [!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (j0): Do not declare. [!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (j1): Likewise. [!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (jn): Likewise. [!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (y0): Likewise. [!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (y1): Likewise. [!__USE_MISC && __USE_XOPEN && !__MATH_DECLARING_DOUBLE] (yn): Likewise. * conform/data/math.h-data [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j0f): Do not expect function. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j1f): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (jnf): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y0f): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y1f): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (ynf): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j0l): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (j1l): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (jnl): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y0l): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (y1l): Likewise. [!ISO99 && !ISO11 && !POSIX && !POSIX2008] (ynl): Likewise.
* Make scalbn set errno (bug 6803).Joseph Myers2015-09-164-72/+76
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | As noted in bug 6803, scalbn fails to set errno on overflow and underflow. This patch fixes this by making scalbn an alias of ldexp, which has exactly the same semantics (for floating-point types with radix 2) and already has wrappers that deal with setting errno, instead of an alias of the internal __scalbn (which ldexp calls). Notes: * Where compat symbols were defined for scalbn functions, I didn't change what they point to (to keep the patch minimal), so such compat symbols continue to go directly to the non-errno-setting functions. * Mike, I didn't do anything with the IA64 versions of these functions, where I think both the ldexp and scalbn functions already deal with setting errno. As a cleanup (not needed to fix this bug) however you might want to make those functions into aliases for IA64; there is no need for them to be separate function implementations at all. * This concludes the fix for bug 6803 since the scalb and scalbln cases of that bug were fixed some time ago. Tested for x86_64, x86, mips64 and powerpc. [BZ #6803] * math/s_ldexp.c (scalbn): Define as weak alias of __ldexp. [NO_LONG_DOUBLE] (scalbnl): Define as weak alias of __ldexp. * math/s_ldexpf.c (scalbnf): Define as weak alias of __ldexpf. * math/s_ldexpl.c (scalbnl): Define as weak alias of __ldexpl. * sysdeps/i386/fpu/s_scalbn.S (scalbn): Remove alias. * sysdeps/i386/fpu/s_scalbnf.S (scalbnf): Likewise. * sysdeps/i386/fpu/s_scalbnl.S (scalbnl): Likewise. * sysdeps/ieee754/dbl-64/s_scalbn.c (scalbn): Likewise. [NO_LONG_DOUBLE] (scalbnl): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_scalbn.c (scalbn): Likewise. [NO_LONG_DOUBLE] (scalbnl): Likewise. * sysdeps/ieee754/flt-32/s_scalbnf.c (scalbnf): Likewise. * sysdeps/ieee754/ldbl-128/s_scalbnl.c (scalbnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c (scalbnl): Remove long_double_symbol calls. * sysdeps/ieee754/ldbl-64-128/s_scalbnl.c (scalbnl): Likewise. * sysdeps/ieee754/ldbl-opt/s_ldexpl.c (__ldexpl_2): Define as strong alias of __ldexpl. (scalbnl): Define using long_double_symbol. * sysdeps/m68k/m680x0/fpu/s_scalbn.c (__CONCATX(scalbn,suffix)): Remove alias. * sysdeps/sparc/sparc64/soft-fp/s_scalbnl.c (scalbnl): Likewise. * sysdeps/x86_64/fpu/s_scalbnl.S (scalbnl): Likewise. * math/libm-test.inc (scalbn_test_data): Add errno expectations. (scalbln_test_data): Add more errno expectations.
* Fix math.h, tgmath.h XSI POSIX namespace (gamma, isnan, scalb) (bug 18967).Joseph Myers2015-09-153-4/+14
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | math.h incorrectly declares various functions for XSI POSIX 2001 and 2008 editions. gamma was removed in the 2001 edition but is still declared, along with gammaf and gammal which were never standard functions. isnan is still declared as a function, along with isnanf and isnanl which were never standard functions, although in 2001 the function was replaced by the type-generic macro. scalbf and scalbl are declared although never standard, and scalb was removed in the 2008 edition but is still declared. The scalb type-generic macro in tgmath.h shouldn't be present for any POSIX version, since POSIX never had such a type-generic macro. This patch disables all those declarations in the relevant cases (as a minimal fix, it leaves them enabled for __USE_MISC). For the matter of declaring scalb but not scalbf or scalbl for the 2001 edition, a new macro __MATH_DECLARING_DOUBLE is added, defined by math.h around includes of bits/mathcalls.h, for bits/mathcalls.h to use to test which type's functions are being declared. Tested for x86_64 and x86 (testsuite, and that installed stripped shared libraries are unchanged by the patch). [BZ #18967] * math/math.h (__MATH_DECLARING_DOUBLE): New macro. Define and undefine around includes of <bits/mathcalls.h>. * math/bits/mathcalls.h [!__USE_MISC && __USE_XOPEN2K] (isnan): Do not declare function. [!__USE_MISC && __USE_XOPEN2K] (gamma): Likewise. [!__USE_MISC && (!__MATH_DECLARING_DOUBLE || __USE_XOPEN2K8)] (scalb): Likewise. * math/tgmath.h [!__USE_MISC && __USE_XOPEN_EXTENDED] (scalb): Do not define macro. * conform/Makefile (test-xfail-XOPEN2K/math.h/conform): Remove variable. (test-xfail-XOPEN2K/tgmath.h/conform): Likewise. (test-xfail-XOPEN2K8/math.h/conform): Likewise. (test-xfail-XOPEN2K8/tgmath.h/conform): Likewise.
* Mark fegetround pure (bug 16296).Joseph Myers2015-09-151-1/+1
| | | | | | | | | | | | Bug 16296 notes that fegetround is a pure function and should be marked as such in fenv.h. This patch implements that. Tested for x86_64 and x86 (testsuite, and that installed stripped shared libraries are unchanged by this patch). [BZ #16296] * math/fenv.h (fegetround): Use __attribute_pure__. * include/fenv.h (__fegetround): Likewise.
* Fix ctan, ctanh missing underflows (bug 18595).Joseph Myers2015-09-158-210/+908
| | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, ctan and ctanh can fail to raise the underflow exception for some cases of results that are tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64 and x86. [BZ #18595] * math/s_ctan.c (__ctan): Force underflow exception for results whose real or imaginary part has small absolute value. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * math/auto-libm-test-in: Do not allow missing underflow for ctan and ctanh. Add more tests of ctan and ctanh.
* Fix i386 exp10 missing underflows (bug 18966).Joseph Myers2015-09-152-0/+166
| | | | | | | | | | | | | | | | | | | | | | | | | | | On i386, the double version of exp10 can miss underflow exceptions if the result is in the subnormal range for double but the last 11 bits of the 64-bit extended-precision mantissa happen to be zero. This patch forces the exception in a similar way to previous fixes. As with the exp2 and exp fixes, the exp10f changes may in fact not be needed to ensure underflow exceptions, but are included for consistency and to fix the exp10 part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64 and x86. [BZ #18875] [BZ #18966] * sysdeps/i386/fpu/e_exp10.S (dbl_min): New object. (MO): New macro. (__ieee754_exp10): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp10f.S (flt_min): New object. (MO): New macro. (__ieee754_exp10f): For small results, force underflow exception and remove excess range and precision from return value. * math/auto-libm-test-in: Add more tests of exp10. * math/auto-libm-test-out: Regenerated.
* Fix i386 exp missing underflows (bug 18961).Joseph Myers2015-09-142-0/+594
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | On i386, the double version of exp can miss underflow exceptions if the result is in the subnormal range for double but the last 11 bits of the 64-bit extended-precision mantissa happen to be zero. This patch forces the exception in a similar way to previous fixes. As with the exp2 fixes, the expf changes may in fact not be needed to ensure underflow exceptions, but are included for consistency and to fix the exp part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64 and x86. [BZ #18875] [BZ #18961] * sysdeps/i386/fpu/e_exp.S (dbl_min): New object. (MO): New macro. (__ieee754_exp): For small results, force underflow exception and remove excess range and precision from return value. (__exp_finite): Likewise. * sysdeps/i386/fpu/e_expf.S (flt_min): New object. (MO): New macro. (__ieee754_expf): For small results, force underflow exception and remove excess range and precision from return value. (__expf_finite): Likewise. * math/auto-libm-test-in: Add more tests of exp. * math/auto-libm-test-out: Regenerated.
* Fix exp2 missing underflows (bug 16521).Joseph Myers2015-09-143-2/+608
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various exp2 implementations in glibc can miss underflow exceptions when the scaling down part of the calculation is exact (or, in the x86 case, when the conversion from extended precision to the target precision is exact). This patch forces the exception in a similar way to previous fixes. The x86 exp2f changes may in fact not be needed for this purpose - it's likely to be the case that no argument of type float has an exp2 result so close to an exact subnormal float value that it equals that value when rounded to 64 bits (even taking account of variation between different x86 implementations). However, they are included for consistency with the changes to exp2 and so as to fix the exp2f part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64, x86 and mips64. [BZ #16521] [BZ #18875] * math/e_exp2l.c (__ieee754_exp2l): Force underflow exception for small results. * sysdeps/i386/fpu/e_exp2.S (dbl_min): New object. (MO): New macro. (__ieee754_exp2): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp2f.S (flt_min): New object. (MO): New macro. (__ieee754_exp2f): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp2l.S (ldbl_min): New object. (MO): New macro. (__ieee754_exp2l): Force underflow exception for small results. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise. * sysdeps/x86_64/fpu/e_exp2l.S (ldbl_min): New object. (MO): New macro. (__ieee754_exp2l): Force underflow exception for small results. * math/auto-libm-test-in: Add more tests or exp2. * math/auto-libm-test-out: Regenerated.
* Add more random libm test inputs (mainly for ldbl-128).Joseph Myers2015-09-122-0/+3448
| | | | | | | | | | | | | | | | | | | | | This patch adds more libm test inputs found through random test generation to increase previously known ulps. This particular test generation was run for mips64, so most of the increased ulps are for ldbl-128 (float and double having been fairly well covered by such testing for x86_64), but there's the odd ulps increase for other formats. Tested for x86_64, x86 and mips64. * math/auto-libm-test-in: Add more tests of acos, acosh, asin, asinh, atan, atan2, atanh, cabs, carg, cos, csqrt, erfc, exp, exp10, exp2, log, log1p, log2, pow, sin, sincos, sinh, tan and tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/mips/mips32/libm-test-ulps: Likewise. * sysdeps/mips/mips64/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix ldbl-128/ldbl-128ibm lgamma spurious "invalid", incorrect signgam (bug ↵Joseph Myers2015-09-112-0/+45
| | | | | | | | | | | | | | | | | | | | 18952). The ldbl-128 / ldbl-128ibm implementation of lgammal converts (the floor of minus) non-integer negative arguments to int to determine the value of signgam. When those values are outside the range of int, this produces spurious "invalid" exceptions and incorrect values of signgam. This patch fixes this by instead determining signgam through comparing half the integer in question to floor of half the integer. Tested for mips64, x86_64 and x86. [BZ #18952] * sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Do not convert non-integer negative arguments to int to determine the value of signgam. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated.
* Add more randomly-generated libm tests.Joseph Myers2015-09-112-0/+584
| | | | | | | | | | | | | This patch adds more libm test inputs found through random test generation to increase observed ulps on x86_64. Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of acosh, atanh, cbrt, cosh, csqrt, erfc, expm1 and lgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix lgamma (negative) inaccuracy (bug 2542, bug 2543, bug 2558).Joseph Myers2015-09-103-27/+21756
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The existing implementations of lgamma functions (except for the ia64 versions) use the reflection formula for negative arguments. This suffers large inaccuracy from cancellation near zeros of lgamma (near where the gamma function is +/- 1). This patch fixes this inaccuracy. For arguments above -2, there are no zeros and no large cancellation, while for sufficiently large negative arguments the zeros are so close to integers that even for integers +/- 1ulp the log(gamma(1-x)) term dominates and cancellation is not significant. Thus, it is only necessary to take special care about cancellation for arguments around a limited number of zeros. Accordingly, this patch uses precomputed tables of relevant zeros, expressed as the sum of two floating-point values. The log of the ratio of two sines can be computed accurately using log1p in cases where log would lose accuracy. The log of the ratio of two gamma(1-x) values can be computed using Stirling's approximation (the difference between two values of that approximation to lgamma being computable without computing the two values and then subtracting), with appropriate adjustments (which don't reduce accuracy too much) in cases where 1-x is too small to use Stirling's approximation directly. In the interval from -3 to -2, using the ratios of sines and of gamma(1-x) can still produce too much cancellation between those two parts of the computation (and that interval is also the worst interval for computing the ratio between gamma(1-x) values, which computation becomes more accurate, while being less critical for the final result, for larger 1-x). Because this can result in errors slightly above those accepted in glibc, this interval is instead dealt with by polynomial approximations. Separate polynomial approximations to (|gamma(x)|-1)(x-n)/(x-x0) are used for each interval of length 1/8 from -3 to -2, where n (-3 or -2) is the nearest integer to the 1/8-interval and x0 is the zero of lgamma in the relevant half-integer interval (-3 to -2.5 or -2.5 to -2). Together, the two approaches are intended to give sufficient accuracy for all negative arguments in the problem range. Outside that range, the previous implementation continues to be used. Tested for x86_64, x86, mips64 and powerpc. The mips64 and powerpc testing shows up pre-existing problems for ldbl-128 and ldbl-128ibm with large negative arguments giving spurious "invalid" exceptions (exposed by newly added tests for cases this patch doesn't affect the logic for); I'll address those problems separately. [BZ #2542] [BZ #2543] [BZ #2558] * sysdeps/ieee754/dbl-64/e_lgamma_r.c (__ieee754_lgamma_r): Call __lgamma_neg for arguments from -28.0 to -2.0. * sysdeps/ieee754/flt-32/e_lgammaf_r.c (__ieee754_lgammaf_r): Call __lgamma_negf for arguments from -15.0 to -2.0. * sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Call __lgamma_negl for arguments from -48.0 or -50.0 to -2.0. * sysdeps/ieee754/ldbl-96/e_lgammal_r.c (__ieee754_lgammal_r): Call __lgamma_negl for arguments from -33.0 to -2.0. * sysdeps/ieee754/dbl-64/lgamma_neg.c: New file. * sysdeps/ieee754/dbl-64/lgamma_product.c: Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c: Likewise. * sysdeps/ieee754/flt-32/lgamma_productf.c: Likewise. * sysdeps/ieee754/ldbl-128/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-128/lgamma_productl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/lgamma_productl.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_product.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_productl.c: Likewise. * sysdeps/generic/math_private.h (__lgamma_negf): New prototype. (__lgamma_neg): Likewise. (__lgamma_negl): Likewise. (__lgamma_product): Likewise. (__lgamma_productl): Likewise. * math/Makefile (libm-calls): Add lgamma_neg and lgamma_product. * 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.
* Don't use -Wno-uninitialized in math/.Joseph Myers2015-08-201-3/+0
| | | | | | | | | | | | The uninitialized variable warnings in math/ having been fixed for all the supported floating-point formats, this patch removes the use of -Wno-uninitialized there, continuing with the goal of avoiding -Wno- options in makefiles as far as possible.. Tested for x86_64 and x86 (full build and testsuite runs), and for powerpc and mips64 (verified that glibc builds without errors). * math/Makefile (CFLAGS): Don't add -Wno-uninitialized.
* Fix csqrt missing underflows (bug 18370).Joseph Myers2015-08-195-0/+394
| | | | | | | | | | | | | | | | | | | The csqrt implementations in glibc can miss underflow exceptions when the real or imaginary part of the result becomes tiny in the course of scaling down (in particular, multiplication by 0.5) and that scaling is exact although the relevant part of the mathematical result isn't. This patch forces the exception in a similar way to previous fixes. Tested for x86_64 and x86. [BZ #18370] * math/s_csqrt.c (__csqrt): Force underflow exception for results whose real or imaginary part has small absolute value. * 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 csqrt spurious underflows (bug 18823).Joseph Myers2015-08-175-9/+1850
| | | | | | | | | | | | | | | | | | The csqrt functions scale up small arguments to avoid underflows when calling hypot functions. However, even when hypot does not underflow, a subsequent calculation of 0.5 * hypot can underflow. This patch duly increases the threshold and scale factor to avoid such underflows as well. Tested for x86_64, x86 and mips64. [BZ #18823] * math/s_csqrt.c (__csqrt): Increase threshold and scale factor for scaling up small arguments. * 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.
* Fix fma spurious underflows (bug 18824).Joseph Myers2015-08-142-0/+274
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various fma implementations have logic that, when computing fma (x, y, z) where z is large (so care needs taking to avoid internal overflow) but x * y is small, scale x * y up instead of down to avoid internal underflows resulting from scaling down. (In these cases, x * y is small enough that only its sign actually matters rather than the exact value.) The threshold for scaling up instead of down was correct for "if the unscaled values were multiplied, the low part of the multiplication could underflow", and the scaling was sufficient to ensure that the low part of the multiplication did not underflow (given that cases of very small x * y - less than half the least subnormal - were previously dealt with). However, the choice in the functions wasn't between scaling up or no scaling, but between scaling up and scaling down (scaling down actually being needed when x * y isn't so small compared to z and so the exact value does matter). Thus a larger threshold is needed to ensure that scaling down doesn't produce values the multiplication of whose low parts underflows. This patch increases the thresholds accordingly. Tested for x86_64, x86 and mips64 (with the MIPS version of s_fmal.c removed so that the ldbl-128 version gets tested instead of the soft-fp one). [BZ #18824] * sysdeps/ieee754/dbl-64/s_fma.c (__fma): Increase threshold for scaling x * y up instead of down. * sysdeps/ieee754/ldbl-128/s_fmal.c (__fmal): Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c (__fmal): Likewise. * math/auto-libm-test-in: Add more tests of fma. * math/auto-libm-test-out: Regenerated.
* Add more random libm-test inputs.Joseph Myers2015-08-132-0/+2198
| | | | | | | | | | | | | | | | This patch adds more test inputs to various libm functions found through random generation to have larger ulps errors than previously listed in libm-test-ulp, on at least one of x86_64 and x86. Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of acos, acosh, asin, asinh, atan, atan2, atanh, cabs, cbrt, cosh, csqrt, erf, erfc, exp, exp2, lgamma, log, log1p, log2, pow, sin, sincos, tan, tanh and tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix tanh missing underflows (bug 16520).Joseph Myers2015-08-132-0/+320
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some tanh 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 #16520] * sysdeps/ieee754/dbl-64/s_tanh.c: Include <float.h>. (__tanh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_tanhf.c: Include <float.h>. (__tanhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/s_tanhl.c: Include <float.h>. (__tanhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: Include <float.h>. (__tanhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/s_tanhl.c: Include <float.h>. (__tanhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Update libmvec multiarch functions for <cpu-features.h>H.J. Lu2015-08-131-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch updates libmvec multiarch functions to use the newly defined HAS_CPU_FEATURE, HAS_ARCH_FEATURE and LOAD_RTLD_GLOBAL_RO_RDX from <cpu-features.h>. * math/Makefile ($(addprefix $(objpfx), $(libm-vec-tests))): Remove $(objpfx)init-arch.o. * sysdeps/x86_64/fpu/Makefile (libmvec-support): Remove init-arch. * sysdeps/x86_64/fpu/math-tests-arch.h (avx_usable): Removed. (INIT_ARCH_EXT): Defined as empty. (CHECK_ARCH_EXT): Replace HAS_XXX with HAS_ARCH_FEATURE (XXX). * sysdeps/x86_64/fpu/multiarch/svml_d_cos2_core.S: Remove __init_cpu_features call. Replace HAS_XXX with HAS_CPU_FEATURE/HAS_ARCH_FEATURE (XXX). * sysdeps/x86_64/fpu/multiarch/svml_d_cos4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_cos8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_exp2_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_exp4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_exp8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_log2_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_log4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_log8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_pow2_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_pow4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_pow8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_sin2_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_sin4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_sin8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_sincos2_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_sincos4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_d_sincos8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_cosf16_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_cosf4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_cosf8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_expf16_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_expf4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_expf8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_logf16_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_logf4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_logf8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_powf16_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_powf8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf16_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_sincosf8_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_sinf16_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_sinf4_core.S: Likewise. * sysdeps/x86_64/fpu/multiarch/svml_s_sinf8_core.S: Likewise.
* Add more tests of various libm functions.Joseph Myers2015-08-112-0/+1607
| | | | | | | | | | | | | | This patch adds more tests of various libm functions found through random test generation to give increased ulps on 32-bit x86. Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of acosh, asin, asinh, atanh, cabs, carg, cbrt, cosh, csqrt, erf, erfc, exp, exp10, expm1, hypot, log, log10, log1p, log2, pow, sinh, tan and tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix ldbl-128ibm tanhl inaccuracy (bug 18790).Joseph Myers2015-08-102-0/+936
| | | | | | | | | | | | | | | | ldbl-128ibm tanhl uses a too-small threshold to decide when to return +/-1, resulting in large errors. This patch changes it to a more appropriate threshold (the requirement is for 2*exp(-2|x|) to be small in terms of ulps of 1). Tested for x86_64, x86 and powerpc. [BZ #18790] * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Increase threshold for returning +/- 1. * math/auto-libm-test-in: Add more tests of tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix ldbl-128ibm sinhl inaccuracy near 0 (bug 18789).Joseph Myers2015-08-102-0/+772
| | | | | | | | | | | | | | | ldbl-128ibm sinhl uses a too-big threshold to decide when to return the argument, resulting in large errors. This patch fixes it to use a more appropriate threshold. Tested for x86_64, x86 and powerpc. [BZ #18789] * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Use smaller threshold for returning the argument. * math/auto-libm-test-in: Add more tests of sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix tan missing underflows (bug 16517).Joseph Myers2015-08-072-0/+320
| | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some tan 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 #16517] * sysdeps/ieee754/dbl-64/s_tan.c: Include <float.h>. (tan): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/k_tanf.c: Include <float.h>. (__kernel_tanf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/k_tanl.c: Include <float.h>. (__kernel_tanl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c: Include <float.h>. (__kernel_tanl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/k_tanl.c: Include <float.h>. (__kernel_tanl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of tan. * math/auto-libm-test-out: Regenerated.
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