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* Fix x86_64 / x86 powl inaccuracy for integer exponents (bug 19848).Joseph Myers2016-03-241-5/+5
| | | | | | | | | | | | | | | | | | | | | | | Bug 19848 reports cases where powl on x86 / x86_64 has error accumulation, for small integer exponents, larger than permitted by glibc's accuracy goals, at least in some rounding modes. This patch further restricts the exponent range for which the small-integer-exponent logic is used to limit the possible error accumulation. Tested for x86_64 and x86 and ulps updated accordingly. [BZ #19848] * sysdeps/i386/fpu/e_powl.S (p3): Rename to p2 and change value from 8 to 4. (__ieee754_powl): Compare integer exponent against 4 not 8. * sysdeps/x86_64/fpu/e_powl.S (p3): Rename to p2 and change value from 8 to 4. (__ieee754_powl): Compare integer exponent against 4 not 8. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2016-01-0457-57/+57
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* i386: move ULPs to i686/multiarch and regenerate new ones for i386Aurelien Jarno2015-12-201-56/+70
| | | | | | | | | | | | | The i386 ULPs are actually the i686/multiarch ones. The i686/multiarch float ULPs are more precise as the SSE2 version (when available) uses double for the cosf and sinf functions. On the other hand the higher precision of the x86 FPU improves the precision for a few other math functions. * sysdeps/i386/fpu/libm-test-ulps: Move to .... * sysdeps/i386/i686/multiarch/fpu/libm-test-ulps: ...here. * sysdeps/i386/fpu/libm-test-ulps: Regenerate.
* Fix math_private.h multiple include guards.Joseph Myers2015-11-201-1/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various math_private.h headers are guarded by "#ifndef _MATH_PRIVATE_H", but never define the macro. Nothing else defines the macro either (the generic math_private.h that they include defines a different macro, _MATH_PRIVATE_H_), so those guards are ineffective. With the recent inclusion of s_sin.c in s_sincos.c, this breaks the build for MIPS, since the build of s_sincos.c ends up including <math_private.h> twice and the MIPS version defines inline functions such as libc_feholdexcept_mips, without a separate fenv_private.h header with its own guards such as some architectures have. This patch fixes all the problem headers to use architecture-specific guard macro names, and to define those macros in the headers they guard, just as some architectures already do. Tested for x86 (testsuite, and that installed shared libraries are unchanged by the patch), and for mips64 (that it fixes the build). * sysdeps/arm/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!ARM_MATH_PRIVATE_H]. [!ARM_MATH_PRIVATE_H] (ARM_MATH_PRIVATE_H): Define macro. * sysdeps/hppa/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!HPPA_MATH_PRIVATE_H]. [!HPPA_MATH_PRIVATE_H] (HPPA_MATH_PRIVATE_H): Define macro. * sysdeps/i386/fpu/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!I386_MATH_PRIVATE_H]. [!I386_MATH_PRIVATE_H] (I386_MATH_PRIVATE_H): Define macro. * sysdeps/m68k/m680x0/fpu/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!M68K_MATH_PRIVATE_H]. [!M68K_MATH_PRIVATE_H] (M68K_MATH_PRIVATE_H): Define macro. * sysdeps/microblaze/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!MICROBLAZE_MATH_PRIVATE_H]. [!MICROBLAZE_MATH_PRIVATE_H] (MICROBLAZE_MATH_PRIVATE_H): Define macro. * sysdeps/mips/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!MIPS_MATH_PRIVATE_H]. [!MIPS_MATH_PRIVATE_H] (MIPS_MATH_PRIVATE_H): Define macro. * sysdeps/nios2/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!NIO2_MATH_PRIVATE_H]. [!NIO2_MATH_PRIVATE_H] (NIO2_MATH_PRIVATE_H): Define macro. * sysdeps/tile/math_private.h [!_MATH_PRIVATE_H]: Change guard to [!TILE_MATH_PRIVATE_H]. [!TILE_MATH_PRIVATE_H] (TILE_MATH_PRIVATE_H): Define macro.
* Fix i386/x86_64 log* (1) zero sign for -ffinite-math-only (bug 19213).Joseph Myers2015-11-053-3/+21
| | | | | | | | | | | | | | | | | | | | | For the -ffinite-math-only versions of various x86_64 and x86 log* functions, a zero result from log* (1) is returned with incorrect sign in round-downward mode. This patch fixes this in a similar way to the previous fixes for the non-*_finite versions of the functions. Tested for x86_64 and x86 (including an i586 build), together with a patch that will be applied separately to enable the main libm-test.inc tests for the finite-math-only functions. [BZ #19213] * sysdeps/i386/fpu/e_log.S (__log_finite): Ensure +0 is always returned for argument 1. * sysdeps/i386/fpu/e_logf.S (__logf_finite): Likewise. * sysdeps/i386/fpu/e_logl.S (__logl_finite): Likewise. * sysdeps/i386/i686/fpu/e_logl.S (__logl_finite): Likewise. * sysdeps/x86_64/fpu/e_log10l.S (__log10l_finite): Likewise. * sysdeps/x86_64/fpu/e_log2l.S (__log2l_finite): Likewise. * sysdeps/x86_64/fpu/e_logl.S (__logl_finite): Likewise.
* Add more libm tests (scalb*, signbit, sin, sincos, sinh, sqrt, tan, tanh, ↵Joseph Myers2015-11-041-4/+5
| | | | | | | | | | | | | | | | | | | | | | | | | | | | tgamma, y0, y1, yn, significand). This patch improves the libm test coverage for a few more functions. Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of sin, sincos, sinh, sqrt, tan, tanh, y0, y1 and yn. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (scalb_test_data): Add more tests. (scalbn_test_data): Likewise. (scalbln_test_data): Likewise. (signbit_test_data): Likewise. (sin_test_data): Likewise. (sincos_test_data): Likewise. (sinh_test_data): Likewise. (sqrt_test_data): Likewise. (tan_test_data): Likewise. (tanh_test_data): Likewise. (tgamma_test_data): Likewise. (y0_test_data): Likewise. (y1_test_data): Likewise. (yn_test_data): Likewise. (significand_test_data): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Make nextafter, nexttoward set errno (bug 6799).Joseph Myers2015-11-023-0/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | nextafter and nexttoward fail to set errno on overflow and underflow. This patch makes them do so in cases that should include all the cases where such errno setting is required by glibc's goals for when to set errno (but not all cases of underflow where the result is nonzero and so glibc's goals do not require errno setting). Tested for x86_64, x86, mips64 and powerpc. [BZ #6799] * math/s_nextafter.c: Include <errno.h>. (__nextafter): Set errno on overflow and underflow. * math/s_nexttowardf.c: Include <errno.h>. (__nexttowardf): Set errno on overflow and underflow. * sysdeps/i386/fpu/s_nextafterl.c: Include <errno.h>. (__nextafterl): Set errno on overflow and underflow. * sysdeps/i386/fpu/s_nexttoward.c: Include <errno.h>. (__nexttoward): Set errno on overflow and underflow. * sysdeps/i386/fpu/s_nexttowardf.c: Include <errno.h>. (__nexttowardf): Set errno on overflow and underflow. * sysdeps/ieee754/flt-32/s_nextafterf.c: Include <errno.h>. (__nextafterf): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-128/s_nextafterl.c: Include <errno.h>. (__nextafterl): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-128/s_nexttoward.c: Include <errno.h>. (__nexttoward): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-128/s_nexttowardf.c: Include <errno.h>. (__nexttowardf): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c: Include <errno.h>. (__nextafterl): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c: Include <errno.h>. (__nexttoward): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c: Include <errno.h>. (__nexttowardf): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-96/s_nexttoward.c: Include <errno.h>. (__nexttoward): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c: Include <errno.h>. (__nexttowardf): Set errno on overflow and underflow. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c: Include <errno.h>. (__nldbl_nexttowardf): Set errno on overflow and underflow. * sysdeps/m68k/m680x0/fpu/s_nextafterl.c: Include <errno.h>. (__nextafterl): Set errno on overflow and underflow. * math/libm-test.inc (nextafter_test_data): Do not allow errno setting to be missing on overflow. Add more tests. (nexttoward_test_data): Likewise.
* Handle more state in i386/x86_64 fesetenv (bug 16068).Joseph Myers2015-10-281-10/+30
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | fenv_t should include architecture-specific floating-point modes and status flags. i386 and x86_64 fesetenv limit which bits they use from the x87 status and control words, when using saved state, and limit which parts of the state they set to fixed values, when using FE_DFL_ENV / FE_NOMASK_ENV. The following should be included but are excluded in at least some cases: status and masking for the "denormal operand" exception (which isn't part of FE_ALL_EXCEPT); precision control (explicitly mentioned in Annex F as something that counts as part of the floating-point environment); MXCSR FZ and DAZ bits (for FE_DFL_ENV and FE_NOMASK_ENV). This patch arranges for this extra state to be handled by fesetenv (and thereby by feupdateenv, which calls fesetenv). (Note that glibc functions using floating point are not generally expected to work correctly with non-default values of this state, especially precision control, but it is still logically part of the floating-point environment and should be handled as such by fesetenv. Changes to the state relating to subnormals ought generally to work with libm functions when the arguments aren't subnormal and neither are the expected results; that's a consequence of functions avoiding spurious internal underflows.) A question arising from this is whether FE_NOMASK_ENV should or should not mask the "denormal operand" exception. I decided it should mask that exception. This is the status quo - previously that exception could only be unmasked by direct manipulation of control registers (possibly via <fpu_control.h>). In addition, it means that use of FE_NOMASK_ENV leaves a floating-point environment the same as could be obtained by fesetenv (FE_DFL_ENV); feenableexcept (FE_ALL_EXCEPT);, rather than an environment in which an exception is unmasked that could only be masked again by using fesetenv with FE_DFL_ENV (or a previously saved environment) - this exception not being usable with other <fenv.h> functions because it's outside FE_ALL_EXCEPT. Tested for x86_64 and x86. [BZ #16068] * sysdeps/i386/fpu/fesetenv.c: Include <fpu_control.h>. (FE_ALL_EXCEPT_X86): New macro. (__fesetenv): Use FE_ALL_EXCEPT_X86 in most places instead of FE_ALL_EXCEPT. Ensure precision control is included in floating-point state. Ensure that FE_DFL_ENV and FE_NOMASK_ENV handle "denormal operand exception" and clear FZ and DAZ bits. * sysdeps/x86_64/fpu/fesetenv.c: Include <fpu_control.h>. (FE_ALL_EXCEPT_X86): New macro. (__fesetenv): Use FE_ALL_EXCEPT_X86 in most places instead of FE_ALL_EXCEPT. Ensure precision control is included in floating-point state. Ensure that FE_DFL_ENV and FE_NOMASK_ENV handle "denormal operand exception" and clear FZ and DAZ bits. * sysdeps/x86/fpu/test-fenv-sse-2.c: New file. * sysdeps/x86/fpu/test-fenv-x87.c: Likewise. * sysdeps/x86/fpu/Makefile [$(subdir) = math] (tests): Add test-fenv-x87 and test-fenv-sse-2. [$(subdir) = math] (CFLAGS-test-fenv-sse-2.c): New variable.
* Fix i386/x86_64 fesetenv SSE exception clearing (bug 19181).Joseph Myers2015-10-281-0/+4
| | | | | | | | | | | | | | | | | | | | | | | The i386 and x86_64 versions of fesetenv, when called with FE_DFL_ENV or FE_NOMASK_ENV as argument, do not clear SSE exceptions raised in MXCSR. These arguments should, like other fenv_t values, represent the whole of the floating-point state, so such exceptions should be cleared; this patch adds the required clearing. (Discovered while working on bug 16068.) Tested for x86_64 and x86. [BZ #19181] * sysdeps/i386/fpu/fesetenv.c (__fesetenv): Clear already-raised SSE exceptions when argument is FE_DFL_ENV or FE_NOMASK_ENV. * sysdeps/x86_64/fpu/fesetenv.c (__fesetenv): Likewise. * math/test-fenv-clear-main.c: New file. * math/test-fenv-clear.c: Likewise. * math/Makefile (tests): Add test-fenv-clear. * sysdeps/x86/fpu/test-fenv-clear-sse.c: New file. * sysdeps/x86/fpu/Makefile [$(subdir) = math] (tests): Add test-fenv-clear-sse. [$(subdir) = math] (CFLAGS-test-fenv-clear-sse.c): New variable.
* Fix i386 / x86_64 nearbyint exception clearing (bug 15491).Joseph Myers2015-10-223-42/+30
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The implementations of nearbyint functions using x87 floating point (i386 all versions, x86_64 long double only) use the fclex instruction, which clears any exceptions that were raised before the function was called. These functions must not clear exceptions that were raised before they were called. This patch fixes these functions to save and restore the whole floating-point environment (fnstenv / fldenv) as the way of avoiding raising "inexact" (recall that there isn't an x87 instruction for loading just the status word, so the whole environment has to be saved and loaded instead - the code already saved and loaded the control word, which is now obtained from the saved environment after this patch, to disable traps on "inexact"). In the case of the long double functions, any "invalid" exception from frndint (applied to a signaling NaN) needs merging into the saved state; this issue doesn't apply to the float and double functions because that exception would have been raised when the argument is loaded, before the environment is saved. [BZ #15491] * sysdeps/i386/fpu/s_nearbyint.S (__nearbyint): Save and restore floating-point environment instead of clearing all exceptions. * sysdeps/i386/fpu/s_nearbyintf.S (__nearbyintf): Likewise. * sysdeps/i386/fpu/s_nearbyintl.S (__nearbyintl): Likewise, merging in "invalid" exceptions from frndint. * sysdeps/x86_64/fpu/s_nearbyintl.S (__nearbyintl): Likewise. * math/test-nearbyint-except.c: New file. * math/Makefile (tests): Add test-nearbyint-except.
* Fix nexttoward overflow in non-default rounding modes (bug 19059).Joseph Myers2015-10-022-4/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 i386 acosh (-qNaN) spurious "invalid" exception.Joseph Myers2015-09-302-4/+6
| | | | | | | | | | | | | | | | | | 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.
* Fix clog, clog10 inaccuracy (bug 19016).Joseph Myers2015-09-281-40/+40
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 pow missing underflows (bug 18825).Joseph Myers2015-09-254-5/+68
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-241-1/+12
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Use LOAD_PIC_REG in i386 atanh.Joseph Myers2015-09-241-5/+1
| | | | | | | | | | | | | sysdeps/i386/fpu/e_atanh.S, unlike all other functions in that directory, loads the PIC register with its own code using _GLOBAL_OFFSET_TABLE_, rather than with the LOAD_PIC_REG macro. I see no good reason for the difference; this patch makes it use the common macro. Tested for x86. * sysdeps/i386/fpu/e_atanh.S (__ieee754_atanh) [PIC]: Use LOAD_PIC_REG.
* Refactor i386 libm code forcing underflow exceptions.Joseph Myers2015-09-2416-316/+244
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch refactors code in sysdeps/i386/fpu that forces underflow exceptions to use common macros for that purpose as far as possible. (Although some of the macros end up used in only one place, I think it's cleanest to define all these macros together so that all the code forcing underflow uses such macros. Some more uses of such macros will also be introduced when fixing remaining bugs about missing underflow exceptions, and it would be possible to do further refactoring of the macros in i386-math-asm.h to share more code by using other macros internally. Places that test for underflow by examining the representation of the argument with integer operations, rather that using floating-point comparisons on the argument or result, are unchanged by this patch.) Most of this code uses a macro MO to abstract away the differences between PIC and non-PIC memory references to constants. log1p functions, however, hardcoded PIC conditionals for this. Because the common macros rely on the use of MO, I changed the log1p functions to use the normal style here, and, for consistency, also made that change to log1pl which is otherwise unaffected by this patch. Tested for x86. * sysdeps/i386/fpu/i386-math-asm.h (DEFINE_LDBL_MIN): New macro. (FLT_CHECK_FORCE_UFLOW): Likewise. (DBL_CHECK_FORCE_UFLOW): Likewise. (FLT_CHECK_FORCE_UFLOW_NARROW): Likewise. (DBL_CHECK_FORCE_UFLOW_NARROW): Likewise. (LDBL_CHECK_FORCE_UFLOW_NONNEG_NAN): Likewise. (FLT_CHECK_FORCE_UFLOW_NONNAN): Likewise. (DBL_CHECK_FORCE_UFLOW_NONNAN): Likewise. (FLT_CHECK_FORCE_UFLOW_NONNEG): Likewise. (DBL_CHECK_FORCE_UFLOW_NONNEG): Likewise. (LDBL_CHECK_FORCE_UFLOW_NONNEG): Likewise. * sysdeps/i386/fpu/e_asin.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_asin): Use DBL_CHECK_FORCE_UFLOW. * sysdeps/i386/fpu/e_asinf.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_asinf): Use FLT_CHECK_FORCE_UFLOW. * sysdeps/i386/fpu/e_atan2.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_atan2): Use DBL_CHECK_FORCE_UFLOW_NARROW. * sysdeps/i386/fpu/e_atan2f.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_atan2f): Use FLT_CHECK_FORCE_UFLOW_NARROW. * sysdeps/i386/fpu/e_atanh.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_atanh): Use DBL_CHECK_FORCE_UFLOW_NONNEG. * sysdeps/i386/fpu/e_atanhf.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_atanhf): Use FLT_CHECK_FORCE_UFLOW_NONNEG. * sysdeps/i386/fpu/e_exp2l.S: Include <i386-math-asm.h>. (ldbl_min): Replace with use of DEFINE_LDBL_MIN. (__ieee754_exp2l): Use LDBL_CHECK_FORCE_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_expl.S: Include <i386-math-asm.h>. [!USE_AS_EXPM1L] (cmin): Replace with use of DEFINE_LDBL_MIN. (IEEE754_EXPL): Use LDBL_CHECK_FORCE_UFLOW_NONNEG. * sysdeps/i386/fpu/s_atan.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__atan): Use DBL_CHECK_FORCE_UFLOW. * sysdeps/i386/fpu/s_atanf.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__atanf): Use FLT_CHECK_FORCE_UFLOW. * sysdeps/i386/fpu/s_expm1.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__expm1): Use DBL_CHECK_FORCE_UFLOW. Move underflow check after main computation. * sysdeps/i386/fpu/s_expm1f.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__expm1f): Use FLT_CHECK_FORCE_UFLOW. Move underflow check after main computation. * sysdeps/i386/fpu/s_log1p.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (MO): New macro. (__log1p): Use MO. Use DBL_CHECK_FORCE_UFLOW_NONNAN. * sysdeps/i386/fpu/s_log1pf.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (MO): New macro. (__log1pf): Use MO. Use FLT_CHECK_FORCE_UFLOW_NONNAN. * sysdeps/i386/fpu/s_log1pl.S (MO): New macro. (__log1pl): Use MO.
* Use math_narrow_eval more consistently.Joseph Myers2015-09-232-8/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Avoid excess range in results from i386 exp, hypot, pow functions (bug 18980).Joseph Myers2015-09-1812-278/+244
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | i386 exp, hypot and pow functions can return overflowing and underflowing values with excess range and precision; ; Wilco Dijkstra's patches to make isfinite etc. expand inline cause this pre-existing issue to result in test failures. This patch fixes those functions to avoid excess range and precision in their return values. Appropriate macros are added for the repeated code sequences; in future I'll add more such macros and refactor existing code forcing underflow (with or without also eliminating excess range and precision from the return value) to use such macros. Tested for x86. If, after this patch, you still see x86 libm test failures with excess range or precision, please file bugs in Bugzilla. [BZ #18980] * sysdeps/i386/fpu/i386-math-asm.h (DEFINE_FLT_MIN): New macro. (DEFINE_DBL_MIN): Likewise. (FLT_NARROW_EVAL_UFLOW_NONNEG_NAN): Likewise. (DBL_NARROW_EVAL_UFLOW_NONNEG_NAN): Likewise. (FLT_NARROW_EVAL_UFLOW_NONNEG): Likewise. (DBL_NARROW_EVAL_UFLOW_NONNEG): Likewise. * sysdeps/i386/fpu/e_exp.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_exp): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN. (__exp_finite): Use DBL_NARROW_EVAL_UFLOW_NONNEG. * sysdeps/i386/fpu/e_exp10.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_exp10): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_exp10f.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_exp10f): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_exp2.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_exp2): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_exp2f.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_exp2f): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_expf.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_expf): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN. (__expf_finite): Use FLT_NARROW_EVAL_UFLOW_NONNEG. * sysdeps/i386/fpu/e_hypot.S: Include <i386-math-asm.h>. (__ieee754_hypot): Use DBL_NARROW_EVAL. * sysdeps/i386/fpu/e_hypotf.S: Include <i386-math-asm.h>. (__ieee754_hypotf): Use FLT_NARROW_EVAL. * sysdeps/i386/fpu/e_pow.S: Include <i386-math-asm.h>. (__ieee754_pow): Use DBL_NARROW_EVAL. * sysdeps/i386/fpu/e_powf.S: Include <i386-math-asm.h>. (__ieee754_powf): Use FLT_NARROW_EVAL. * sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S (__ieee754_expf_sse2): Convert double-precision result to single precision. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Avoid excess range in results from i386 scalb functions (bug 18981).Joseph Myers2015-09-185-0/+47
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | i386 scalb / scalbn / scalbln (and thus ldexp) functions for float and double can return results with excess range (and consequently excess precision for subnormal results). As the results of these functions are fully determined by reference to IEEE 754 operations, this is unambiguously a bug, apart from the testsuite failures it causes. This patch makes those functions store their results on the stack and load them back to eliminate the excess range. Double rounding is not a problem, as the only cases where it could occur are when the result overflows or underflows for extended precision, and then the double-rounded results are the same as the single-rounded results. The new macros will be used for more functions, more such macros added, and existing code refactored to use such macros, in subsequent patches. Tested for x86. Committed. [BZ #18981] * sysdeps/i386/fpu/i386-math-asm.h: New file. * sysdeps/i386/fpu/e_scalb.S: Include <i386-math-asm.h>. (__ieee754_scalb): Use DBL_NARROW_EVAL. * sysdeps/i386/fpu/e_scalbf.S: Include <i386-math-asm.h>. (__ieee754_scalbf): Use FLT_NARROW_EVAL. * sysdeps/i386/fpu/s_scalbn.S: Include <i386-math-asm.h>. (__scalbn): Use DBL_NARROW_EVAL. * sysdeps/i386/fpu/s_scalbnf.S: Include <i386-math-asm.h>. (__scalbnf): Use FLT_NARROW_EVAL.
* Make scalbn set errno (bug 6803).Joseph Myers2015-09-163-3/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 i386 exp10 missing underflows (bug 18966).Joseph Myers2015-09-152-2/+66
| | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-142-4/+102
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-143-3/+94
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-121-2/+2
| | | | | | | | | | | | | | | | | | | | | 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.
* Add more randomly-generated libm tests.Joseph Myers2015-09-111-6/+6
| | | | | | | | | | | | | 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 Myers2015-09-101-48/+48
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix csqrt missing underflows (bug 18370).Joseph Myers2015-08-191-0/+4
| | | | | | | | | | | | | | | | | | | 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.
* Add more random libm-test inputs.Joseph Myers2015-08-131-43/+77
| | | | | | | | | | | | | | | | 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 Myers2015-08-131-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Add more tests of various libm functions.Joseph Myers2015-08-111-36/+94
| | | | | | | | | | | | | | 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 Myers2015-08-101-1/+1
| | | | | | | | | | | | | | | | 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 Myers2015-08-101-0/+2
| | | | | | | | | | | | | | | 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 sinh missing underflows (bug 16519).Joseph Myers2015-08-061-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some sinh 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 #16519] * sysdeps/ieee754/dbl-64/e_sinh.c: Include <float.h>. (__ieee754_sinh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/e_sinhf.c: Include <float.h>. (__ieee754_sinhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Improve tgamma accuracy (bug 18613).Joseph Myers2015-06-291-6/+30
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | In non-default rounding modes, tgamma can be slightly less accurate than permitted by glibc's accuracy goals. Part of the problem is error accumulation, addressed in this patch by setting round-to-nearest for internal computations. However, there was also a bug in the code dealing with computing pow (x + n, x + n) where x + n is not exactly representable, providing another source of error even in round-to-nearest mode; it was necessary to address both bugs to get errors for all testcases within glibc's accuracy goals. Given this second fix, accuracy in round-to-nearest mode is also improved (hence regeneration of ulps for tgamma should be from scratch - truncate libm-test-ulps or at least remove existing tgamma entries - so that the expected ulps can be reduced). Some additional complications also arose. Certain tgamma tests should strictly, according to IEEE semantics, overflow or not depending on the rounding mode; this is beyond the scope of glibc's accuracy goals for any function without exactly-determined results, but gen-auto-libm-tests doesn't handle being lax there as it does for underflow. (libm-test.inc also doesn't handle being lax about whether the result in cases very close to the overflow threshold is infinity or a finite value close to overflow, but that doesn't cause problems in this case though I've seen it cause problems with random test generation for some functions.) Thus, spurious-overflow markings, with a comment, are added to auto-libm-test-in (no bug in Bugzilla because the issue is with the testsuite, not a user-visible bug in glibc). And on x86, after the patch I saw ERANGE issues as previously reported by Carlos (see my commentary in <https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html>), which needed addressing by ensuring excess range and precision were eliminated at various points if FLT_EVAL_METHOD != 0. I also noticed and fixed a cosmetic issue where 1.0f was used in long double functions and should have been 1.0L. This completes the move of all functions to testing in all rounding modes with ALL_RM_TEST, so gen-libm-have-vector-test.sh is updated to remove the workaround for some functions not using ALL_RM_TEST. Tested for x86_64, x86, mips64 and powerpc. [BZ #18613] * sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gamma_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. * sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammaf_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * math/libm-test.inc (tgamma_test_data): Remove one test. Moved to auto-libm-test-in. (tgamma_test): Use ALL_RM_TEST. * math/auto-libm-test-in: Add one test of tgamma. Mark some other tests of tgamma with spurious-overflow. * math/auto-libm-test-out: Regenerated. * math/gen-libm-have-vector-test.sh: Do not check for START. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Use round-to-nearest internally in jn, test with ALL_RM_TEST (bug 18602).Joseph Myers2015-06-251-0/+24
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Some existing jn tests, if run in non-default rounding modes, produce errors above those accepted in glibc, which causes problems for moving tests of jn to use ALL_RM_TEST. This patch makes jn set rounding to-nearest internally, as was done for yn some time ago, then computes the appropriate underflowing value for results that underflowed to zero in to-nearest, and moves the tests to ALL_RM_TEST. It does nothing about the general inaccuracy of Bessel function implementations in glibc, though it should make jn more accurate on average in non-default rounding modes through reduced error accumulation. The recomputation of results that underflowed to zero should as a side-effect fix some cases of bug 16559, where jn just used an exact zero, but that is *not* the goal of this patch and other cases of that bug remain unfixed. (Most of the changes in the patch are reindentation to add new scopes for SET_RESTORE_ROUND*.) Tested for x86_64, x86, powerpc and mips64. [BZ #16559] [BZ #18602] * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Set round-to-nearest internally then recompute results that underflowed to zero in the original rounding mode. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise * math/libm-test.inc (jn_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix cexp, ccos, ccosh, csin, csinh spurious underflows (bug 18594).Joseph Myers2015-06-241-0/+52
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | cexp, ccos, ccosh, csin and csinh have spurious underflows in cases where they compute sin of the smallest normal, that produces an underflow exception (depending on which sin implementation is in use) but the final result does not underflow. ctan and ctanh may also have such underflows, or they may be latent (the issue there is that e.g. ctan (DBL_MIN) should, rounded upwards, be the next double value above DBL_MIN, which under glibc's accuracy goals may not have an underflow exception, but the intermediate computation of sin (DBL_MIN) would legitimately underflow on before-rounding architectures). This patch fixes all those functions so they use plain comparisons (> DBL_MIN etc.) instead of comparing the result of fpclassify with FP_SUBNORMAL (in all these cases, we already know the number being compared is finite). Note that in the case of csin / csinf / csinl, there is no need for fabs calls in the comparison because the real part has already been reduced to its absolute value. As the patch fixes the failures that previously obstructed moving tests of cexp to use ALL_RM_TEST, those tests are moved to ALL_RM_TEST by the patch (two functions remain yet to be converted). Tested for x86_64 and x86 and ulps updated accordingly. [BZ #18594] * math/s_ccosh.c (__ccosh): Compare with least normal value instead of comparing class with FP_SUBNORMAL. * 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_csin.c (__csin): Likewise. * 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_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/auto-libm-test-in: Add more tests of ccos, ccosh, cexp, csin, csinh, ctan and ctanh. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (cexp_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix csqrt spurious underflows (bug 18371).Joseph Myers2015-06-231-0/+2
| | | | | | | | | | | | | | | | | | | | | | The csqrt implementations in glibc can cause spurious underflows in some cases as a side-effect of the scaling for large arguments (when underflow is correct for the square root of the argument that was scaled down to avoid overflow, but not for the original argument). This patch arranges to avoid the underflowing intermediate computation (eliminating a multiplication in 0.5 in the problem cases where a subsequent scaling by 2 would follow). Tested for x86_64 and x86 and ulps updated accordingly (only needed for x86). [BZ #18371] * math/s_csqrt.c (__csqrt): Avoid multiplication by 0.5 where intermediate but not final result might underflow. * math/s_csqrtf.c (__csqrtf): Likewise. * math/s_csqrtl.c (__csqrtl): Likewise. * math/auto-libm-test-in: Add more tests of csqrt. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix expm1 missing underflows (bug 16353).Joseph Myers2015-06-222-0/+44
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some expm1 implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (The issue does not apply to the ldbl-* implementations or to those for x86 / x86_64 long double. The change to sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c is one I missed when previously fixing bug 16354; the bug in that implementation was previously latent, but the expm1 fixes stopped it being latent and so required it to be fixed to avoid spurious underflows from cosh.) Tested for x86_64 and x86. [BZ #16353] * sysdeps/i386/fpu/s_expm1.S (dbl_min): New object. (__expm1): Force underflow exception for arguments with small absolute value. * sysdeps/i386/fpu/s_expm1f.S (flt_min): New object. (__expm1f): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/dbl-64/s_expm1.c: Include <float.h>. (__expm1): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_expm1f.c: Include <float.h>. (__expm1f): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c (__ieee754_cosh): Check for small arguments before calling __expm1. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16353. * math/auto-libm-test-out: Regenerated.
* Fix x86_64 / x86 expm1l (-min_subnorm) result sign (bug 18569).Joseph Myers2015-06-211-0/+6
| | | | | | | | | | | | | | | | | | | | In the x86 / x86_64 implementations of expm1l, when expm1l's result should underflow to 0 (argument minus the least subnormal, in some rounding modes), it can be a zero of the wrong sign. This patch fixes this by returning the argument with underflow forced in that case (this is a 1ulp error relative to the correctly rounded result of -0, which is OK in terms of the documented accuracy goals, whereas a result with the wrong sign never is). Tested for x86_64 and x86. [BZ #18569] * sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Force underflow and return argument in case of subnormal argument. * sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL) [USE_AS_EXPM1L]: Likewise. * math/auto-libm-test-in: Add more tests of expm1. * math/auto-libm-test-out: Regenerated.
* Fix x86 / x86_64 expl, exp10l missing underflows (bug 16361).Joseph Myers2015-06-211-1/+15
| | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, the x86 and x86_64 implementations of expl / exp10l can fail to produce underflow exceptions when the unscaled result has trailing 0 bits so the scaling down to subnormal precision is exact. This patch fixes this by forcing the exception in the case of tiny results. Tested for x86_64 and x86. [BZ #16361] * sysdeps/i386/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object. [!USE_AS_EXPM1L] (IEEE754_EXPL): Force underflow exception for tiny results. * sysdeps/x86_64/fpu/e_expl.S [!USE_AS_EXPM1L] (cmin): New object. [!USE_AS_EXPM1L] (IEEE754_EXPL): Force underflow exception for tiny results. * math/auto-libm-test-in: Add more tests of exp and exp10. Do not mark underflow exceptions as possibly missing for bug 16361. * math/auto-libm-test-out: Regenerated.
* Fix asinh missing underflows (bug 16350).Joseph Myers2015-06-183-3/+26
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some asinh implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86 and mips64. [BZ #16350] * sysdeps/i386/fpu/s_asinh.S (__asinh): Force underflow exception for arguments with small absolute value. * sysdeps/i386/fpu/s_asinhf.S (__asinhf): Likewise. * sysdeps/i386/fpu/s_asinhl.S (__asinhl): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c: Include <float.h>. (__asinh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_asinhf.c: Include <float.h>. (__asinhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16350. * math/auto-libm-test-out: Regenerated.
* Fix i386 atanhl spurious underflows (bug 18049).Joseph Myers2015-05-191-0/+10
| | | | | | | | | | | | | | | | The i386 implementation of atanhl, for small arguments, does a calculation that involves computing twice the square of the argument, resulting in spurious underflows for some arguments. This patch fixes this by just returning the argument when its exponent is below -32, with underflow being forced as needed for subnormal arguments. Tested for x86 and x86_64. [BZ #18049] * sysdeps/i386/fpu/e_atanhl.S (__ieee754_atanhl): For exponents below -32, return the argument, with underflow if subnormal. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated.
* Fix atanhl missing underflows (bug 16352).Joseph Myers2015-05-152-2/+38
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some atanh implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (No change in this regard is needed for the i386 implementation; special handling to force underflows in these cases will only be needed there when the spurious underflows, bug 18049, get fixed.) Tested for x86_64, x86, powerpc and mips64. [BZ #16352] * sysdeps/i386/fpu/e_atanh.S (dbl_min): New object. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/e_atanhf.S (flt_min): New object. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/e_atanh.c: Include <float.h>. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/e_atanhf.c: Include <float.h>. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from atanh. * math/auto-libm-test-out: Regenerated.
* Fix log1p missing underflows (bug 16339).Joseph Myers2015-05-142-2/+52
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some log1p implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (The ldbl-128ibm implementation doesn't currently need any change as it already generates this exception, albeit through code that would generate spurious exceptions in other cases; special code for this issue will only be needed there when fixing the spurious exceptions.) Tested for x86_64, x86, powerpc and mips64. [BZ #16339] * sysdeps/i386/fpu/s_log1p.S (dbl_min): New object. (__log1p): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/s_log1pf.S (flt_min): New object. (__log1pf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/s_log1p.c: Include <float.h>. (__log1p): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/s_log1pf.c: Include <float.h>. (__log1pf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/s_log1pl.c: Include <float.h>. (__log1pl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from log1p. * math/auto-libm-test-out: Regenerated.
* Add more tests of csqrt, lgamma, log10, sinh.Joseph Myers2015-05-081-10/+10
| | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of csqrt, lgamma, log10 and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of acosh, atanh, cos, csqrt, erfc, sin, sincos.Joseph Myers2015-05-061-8/+8
| | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, atanh, cos, csqrt, erfc, sin and sincos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add further tests of libm functions.Joseph Myers2015-05-051-31/+31
| | | | | | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. (This process must eventually converge, when my random test generation stops finding inputs that increase the listed ulps, except maybe for any cases uncovered where the errors exceed the maximum allowed 9ulp error and so indicate actual libm bugs needing fixing.) Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, atanh, clog, clog10, csqrt, erfc, exp2, expm1, log10, log2 and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of libm functions.Joseph Myers2015-05-021-16/+16
| | | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atan, clog, clog10, cos, csqrt, erf, erfc, exp2, lgamma, log1p, sin, sincos, tanh and tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tgamma.Joseph Myers2015-05-011-6/+6
| | | | | | | | | | | | This patch adds some randomly-generated tests of tgamma that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
generated by cgit-pink 1.4.1 (git 2.36.1) at 2024-11-13 19:17:06 +0000