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* XFAIL catan and catanh tests on ibm128Tulio Magno Quites Machado Filho2017-03-161-8/+8
| | | | | | | | | | | | | | | Mark 4 catan and catanh tests as xfail-rounding:ibm128-libgcc. After this patch all catan and catanh tests pass on ibm128. Regenerated auto-libm-test-out using gmp 6.1.2, mpfr 3.1.5 and upstream mpc (9ef8030e50), Tested on powerpc, powerpc64 and powerpc64le. * math/auto-libm-test-in: Mark some catan and catanh as xfail-rounding:ibm128-libgcc. * math/auto-libm-test-out-catan: Regenerate. * math/auto-libm-test-out-catanh: Likewise.
* Improve float range reduction accuracy near pi/2 (bug 21094).Joseph Myers2017-03-151-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | Bug 21094 reports 3ulp errors of cosf and tanf for certain arguments near pi/2 arising from the use of an insufficiently accurate range reduction. (To be clear, this is a quality-of-implementation issue relating to the apparent intent of those particular cosf and tanf implementations; 3ulp is within the general glibc accuracy goals, so not inherently a bug.) This patch fixes that error by making a wider range of cases use the existing more accurate range reduction for arguments close to pi/2. The wider range of values is still narrow enough for the "z -= pio2_2;" in the more accurate case to be exact, as the code expects. Tested for x86_64, x86 and mips64; no ulps updates needed (but at least on mips64, the larger ulps were seen if the tests were added without the substantive fix). [BZ #21094] * sysdeps/ieee754/flt-32/e_rem_pio2f.c (__ieee754_rem_pio2f): Use 24+24+24-bit pi for wider range of values around pi/2. * math/auto-libm-test-in: Add more tests of cos and tan. * math/auto-libm-test-out-cos: Regenerated. * math/auto-libm-test-out-tan: Likewise.
* Move tests of catan, catanh to auto-libm-test-*.Joseph Myers2017-02-171-0/+836
| | | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of catan and catanh with finite inputs (other than the divide-by-zero cases producing an exact infinity) to using the auto-libm-test machinery. Each of auto-libm-test-out-catan and auto-libm-test-out-catanh takes about three seconds to generate on my system (so in fact it wasn't necessary after all to defer the move to auto-libm-test-* until the output files were split up by function). Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of catan and catanh. * math/auto-libm-test-out-catan: New generated file. * math/auto-libm-test-out-catanh: Likewise. * math/libm-test-catan.inc (catan_test_data): Use AUTO_TESTS_c_c. Move tests with finite inputs, except divide-by-zero cases, to auto-libm-test-in. * math/libm-test-catanh.inc (catanh_test_data): Likewise. * math/Makefile (libm-test-funcs-auto): Add catan and catanh. (libm-test-funcs-noauto): Remove catan and catanh. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move tests of casin, casinh to auto-libm-test-*.Joseph Myers2017-02-171-0/+1174
| | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of casin and casinh with finite inputs to using the auto-libm-test machinery. Each of auto-libm-test-out-casin and auto-libm-test-out-casinh takes about 38 minutes to generate on my system because of MPC slowness on special cases that appear in the tests (with MPC 1.0.3; I don't know to what extent current MPC master might speed it up). Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of casin and casinh. * math/auto-libm-test-out-casin: New generated file. * math/auto-libm-test-out-casinh: Likewise. * math/libm-test-casin.inc (casin_test_data): Use AUTO_TESTS_c_c. Move tests with finite inputs to auto-libm-test-in. * math/libm-test-casinh.inc (casinh_test_data): Likewise. * math/Makefile (libm-test-funcs-auto): Add casin and casinh. (libm-test-funcs-noauto): Remove casin and casinh. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move tests of cacos, cacosh to auto-libm-test-*.Joseph Myers2017-02-171-0/+1169
| | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of cacos and cacosh with finite inputs to using the auto-libm-test machinery. Each of auto-libm-test-out-cacos and auto-libm-test-out-cacosh takes about 80 minutes to generate on my system because of MPC slowness on special cases that appear in the tests (with MPC 1.0.3; I don't know to what extent current MPC master might speed it up). Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of cacos and cacosh. * math/auto-libm-test-out-cacos: New generated file. * math/auto-libm-test-out-cacosh: Likewise. * math/libm-test-cacos.inc (cacos_test_data): Use AUTO_TESTS_c_c. Move tests with finite inputs to auto-libm-test-in. * math/libm-test-cacosh.inc (cacosh_test_data): Likewise. * math/Makefile (libm-test-funcs-auto): Add cacos and cacosh. (libm-test-funcs-noauto): Remove cacos and cacosh. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move more csin, csinh tests to auto-libm-test-in.Joseph Myers2017-02-091-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | When I moved tests of csin and csinh to auto-libm-test-in, I didn't move a few tests for which gen-auto-libm-tests was very slow because of MPC slowness on certain inputs. Now that auto-libm-test-out has been split up, such slowness only affects regenerating the test expectations for the individual functions in question, rather than any addition of tests for any function to auto-libm-test-in. Thus, I no longer consider it a problem to have these inputs in auto-libm-test-in, and this patch moves them there. This results in test generation for csin and csinh taking 5m43s (for each of csin and csinh) on my system, while other functions are unaffected. I expect the test generation to be much faster in MPC 1.1 (the relevant performance improvements went in MPC mainline in Dec 2013, but there hasn't been a release from mainline since then). Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of csin and csinh. * math/auto-libm-test-out-csin: Regenerated. * math/auto-libm-test-out-csinh: Likewise. * math/libm-test-csin.inc (csin_test_data): Remove tests moved to auto-libm-test-in. * math/libm-test-csinh.inc (csinh_test_data): Likewise.
* Fix powf inaccuracy (bug 21112).Joseph Myers2017-02-071-0/+1
| | | | | | | | | | | | | | | | | | | | Bug 21112 reports a case where powf is substantially inaccurate. This results from a multiplication where cp_h*p_h is required to be exact, and p_h is masked to have only 12 leading nonzero bits in its mantissa, but the value of cp_h has the 13th bit nonzero, leading to inexact multiplication results in some cases that can result in large errors in the final result of powf. This patch fixes this by using a value of cp_h correctly rounded to nearest to 12 bits, with a corresponding updated value of cp_l. Tested for x86_64 and x86. [BZ #21112] * sysdeps/ieee754/flt-32/e_powf.c (cp_h): Use value with trailing 12 bits zero. (cp_l): Update for new value of cp_h. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out-pow: Regenerated.
* Improve libm-test XFAILing for ibm128-libgcc.Joseph Myers2017-01-091-188/+188
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch further improves XFAILing for ibm128-libgcc of tests in auto-libm-test-*. The bulk of the cases needing XFAILing are xfail-rounding:ibm128-libgcc used for inputs where (possibly after rounding the inputs to another floating-point type) the result overflows (and the result in non-default rounding modes may be wildly wrong with unpatched libgcc) or underflows near 0 (and the result in non-default rounding modes may end up having the wrong sign). This patch makes gen-auto-libm-tests detect such cases and apply xfail-rounding:ibm128-libgcc automatically to them, so most of the manual XFAILs in auto-libm-test-in are no longer needed (some are still needed if e.g. the result is very close to overflow, resulting in an internal overflow in libgcc in some rounding modes). A few manual XFAILs are added for cases not covered by this gen-auto-libm-tests change, and a few existing such XFAILs are left in. Tested for powerpc. * math/gen-auto-libm-tests.c (output_for_one_input_case): Apply xfail-rounding:ibm128-libgcc automatically to tests overflowing and those that can underflow to zero. * math/auto-libm-test-in: Remove most XFAILs for ibm128-libgcc and add others. * math/auto-libm-test-out: Regenerated.
* Update libm-test XFAILs for ibm128 format.Joseph Myers2017-01-041-213/+198
| | | | | | | | | | | | | | | | | | | | | | | | This patch cleans up and updates the libm-test XFAILs for the ibm128 format. More of them are changed to use a new ibm128-libgcc conditional, to reflect that they are not in fact needed if you've patched libgcc to fix the known issues (at substantial performance cost). Many additional XFAILs are added for tests that fail with unpatched libgcc (most but not all of them xfail-rounding). Note that further such fixes will be needed for test-ldouble actually to pass with default libgcc (in particular, XFAILs for pow tests and for various affected tests directly embedded in libm-test.inc). With patched libgcc, there may be a few XFAILs needed but the results are already substantially clean apart from a few ulps differences. Tested for powerpc. * math/libm-test.inc (TEST_COND_ibm128_libgcc): New macro. (init_max_error) [TEST_COND_ibm128]: Increase maximum error allowed to 16 ulps. * math/auto-libm-test-in: Change most XFAILs for ibm128 to use ibm128-libgcc. XFAIL more tests for ibm128-libgcc. * math/auto-libm-test-out: Regenerated.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2017-01-011-1/+1
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* Fix cos computation for multiple precision fallback (bz #20357)Siddhesh Poyarekar2016-07-181-0/+3
| | | | | | | | | | | | | | | | | | | | During the sincos consolidation I made two mistakes, one was a logical error due to which cos(0x1.8475e5afd4481p+0) returned sin(0x1.8475e5afd4481p+0) instead. The second issue was an error in negating inputs for the correct quadrants for sine. I could not find a suitable test case for this despite running a program to search for such an input for a couple of hours. Following patch fixes both issues. Tested on x86_64. Thanks to Matt Clay for identifying the issue. [BZ #20357] * sysdeps/ieee754/dbl-64/s_sin.c (sloww): Fix up condition to call __mpsin/__mpcos and to negate values. * math/auto-libm-test-in: Add test. * math/auto-libm-test-out: Regenerate.
* Remove type specific information from auto-libm-test-inPaul E. Murphy2016-06-081-57/+58
| | | | | | | | | | | | | Apply the following sed regexes to auto-libm-test-in in order: s/flt-32/binary32/ s/dbl-64/binary64/ s/ldbl-96-intel/intel96/ s/ldbl-96-m68k/m68k96/ s/ldbl-128ibm/ibm128/ s/ldbl-128/binary128/ and fixup ldbl-96 comment manually.
* Implement proper fmal for ldbl-128ibm (bug 13304).Joseph Myers2016-05-191-9/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ldbl-128ibm had an implementation of fmal that just did (x * y) + z in most cases, with no attempt at actually being a fused operation. This patch replaces it with a genuine fused operation. It is not necessarily correctly rounding, but should produce a result at least as accurate as the long double arithmetic operations in libgcc, which I think is all that can reasonably be expected for such a non-IEEE format where arithmetic is approximate rather than rounded according to any particular rule for determining the exact result. Like the libgcc arithmetic, it may produce spurious overflow and underflow results, and it falls back to the libgcc multiplication in the case of (finite, finite, zero). This concludes the fixes for bug 13304; any subsequently found fma issues should go in separate Bugzilla bugs. Various other pieces of bug 13304 were fixed in past releases over the past several years. Tested for powerpc. [BZ #13304] * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Include <fenv.h>, <float.h>, <math_private.h> and <stdlib.h>. (add_split): New function. (mul_split): Likewise. (ext_val): New typedef. (store_ext_val): New function. (mul_ext_val): New function. (compare): New function. (add_split_ext): New function. (__fmal): After checking for Inf, NaN and zero, compute result as an exact sum of scaled double values in round-to-nearest before adding those up and adjusting for other rounding modes. * math/auto-libm-test-in: Remove xfail-rounding:ldbl-128ibm from tests of fma. * math/auto-libm-test-out: Regenerated.
* Fix x86_64 / x86 powl inaccuracy for integer exponents (bug 19848).Joseph Myers2016-03-241-0/+38
| | | | | | | | | | | | | | | | | | | | | | | 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 Myers2016-01-041-1/+1
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* Add more tests of pow.Joseph Myers2015-11-101-0/+1
| | | | | | | | | | | | | Prompted by a gcc-patches discussion, this patch adds tests of pow for the cases where pow (x, 0.5) is required to return a different result from sqrt (x), as those cases were previously missing from the tests (although they worked correctly). Tested for x86_64 and x86. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (pow_test_data): Add another test.
* Add more libm tests (scalb*, signbit, sin, sincos, sinh, sqrt, tan, tanh, ↵Joseph Myers2015-11-041-0/+72
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Add more libm tests (ilogb, is*, j0, j1, jn, lgamma, log*).Joseph Myers2015-10-231-0/+45
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 log, log10, log1p and log2. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (MAX_EXP): New macro. (ilogb_test_data): Add more tests. (isfinite_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. (log_test_data): Likewise. (log10_test_data): Likewise. (log1p_test_data): Likewise. (log2_test_data): Likewise. (logb_test_data): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix j1, jn missing errno setting on underflow (bug 18611).Joseph Myers2015-10-231-15/+12
| | | | | | | | | | | | | | | | | | | | | | | | j1 and jn can underflow for small arguments, but fail to set errno when underflowing to 0. This patch fixes them to set errno in that case. Tested for x86_64, x86, mips64 and powerpc. [BZ #18611] * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Set errno and avoid excess range and precision on underflow. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Likewise. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Set errno on underflow. * 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_j1l.c (__ieee754_j1l): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * math/auto-libm-test-in: Do not allow missing errno setting for tests of j1 and jn. * math/auto-libm-test-out: Regenerated.
* Add more libm tests (fmod, fpclassify, frexp, hypot, ilogb, j0, j1, jn, log, ↵Joseph Myers2015-10-211-0/+64
| | | | | | | | | | | | | | | | | | | log10, log2). This patch improves the libm test coverage for a few more functions. Tested for x86_64 and x86. 2015-10-21 Joseph Myers <joseph@codesourcery.com> * math/auto-libm-test-in: Add more tests of hypot, j0, j1, jn, log, log10 and log2. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (fmod_test_data): Add more tests. (fpclassify_test_data): Likewise. (frexp_test_data): Likewise. (hypot_test_data): Likewise. (ilogb_test_data): Likewise.
* Fix ldbl-128 / ldbl-128ibm lgamma overflow handling (bug 16347, bug 19046).Joseph Myers2015-10-011-0/+18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Improve test coverage of real libm functions [a-e]*.Joseph Myers2015-09-301-0/+290
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix clog, clog10 inaccuracy (bug 19016).Joseph Myers2015-09-281-0/+90
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-261-0/+1
| | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-251-0/+145
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-241-0/+7
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix tgamma missing underflows (bug 18951).Joseph Myers2015-09-171-0/+41
| | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix ctan, ctanh missing underflows (bug 18595).Joseph Myers2015-09-151-10/+16
| | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-151-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-141-0/+11
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-141-0/+23
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-121-0/+62
| | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-111-0/+3
| | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-111-0/+14
| | | | | | | | | | | | | 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 Myers2015-09-101-1/+436
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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/+5
| | | | | | | | | | | | | | | | | | | 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 Myers2015-08-171-0/+9
| | | | | | | | | | | | | | | | | | 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 Myers2015-08-141-0/+18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-08-131-0/+45
| | | | | | | | | | | | | | | | 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 Myers2015-08-111-0/+42
| | | | | | | | | | | | | | 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 Myers2015-08-101-0/+36
| | | | | | | | | | | | | | | | 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/+22
| | | | | | | | | | | | | | | 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 Myers2015-08-071-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix sinh missing underflows (bug 16519).Joseph Myers2015-08-061-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix powf (close to -1, large) (bug 18647).Joseph Myers2015-08-051-0/+40
| | | | | | | | | | | | | | | | The flt-32 implementation of powf wrongly uses x-1 instead of |x|-1 when computing log (x) for the case where |x| is close to 1 and y is large. This patch fixes the logic accordingly. Relevant tests existed for x close to 1, and corresponding tests are added for x close to -1, as well as for some new variant cases. Tested for x86_64 and x86. [BZ #18647] * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): For large y and |x| close to 1, use absolute value of x when computing log. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated.
* Improve tgamma accuracy (bug 18613).Joseph Myers2015-06-291-3/+7
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix ldbl-128 j1l spurious underflows (bug 18612).Joseph Myers2015-06-291-0/+3
| | | | | | | | | | | | | | | | | The ldbl-128 implementation of j1l produces spurious underflow exceptions for some small arguments, as a result of squaring the argument. This patch fixes it just to use a linear approximation for sufficiently small arguments, and then to force an underflow exception only in the cases where it is required. Tested for mips64. [BZ #18612] * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): For small arguments, just return 0.5 times the argument, with underflow forced as needed. * math/auto-libm-test-in: Add more tests of j1. * math/auto-libm-test-out: Regenerated.
* Fix j1, jn missing underflows (bug 16559).Joseph Myers2015-06-291-0/+16
| | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, j1 and jn implementations can fail to raise the underflow exception when the internal computation is exact although the actual function is inexact. This patch forces the exception in a similar way to other such fixes. (The ldbl-128 / ldbl-128ibm j1l implementation is different and doesn't need a change for this until spurious underflows in it are fixed.) Tested for x86_64, x86, mips64 and powerpc. [BZ #16559] * sysdeps/ieee754/dbl-64/e_j1.c: Include <float.h>. (__ieee754_j1): Force underflow exception for small results. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Include <float.h>. (__ieee754_j1f): Force underflow exception for small results. * 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_j1l.c: Include <float.h>. (__ieee754_j1l): Force underflow exception for small results. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * math/auto-libm-test-in: Add more tests of j1 and jn. * math/auto-libm-test-out: Regenerated.
* Fix cexp, ccos, ccosh, csin, csinh spurious underflows (bug 18594).Joseph Myers2015-06-241-0/+37
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
generated by cgit-pink 1.4.1 (git 2.36.1) at 2024-07-25 20:14:15 +0000