diff options
| -rw-r--r-- | ChangeLog | 21 | ||||
| -rw-r--r-- | NEWS | 2 | ||||
| -rw-r--r-- | math/libm-test.inc | 124 | ||||
| -rw-r--r-- | math/s_ccosh.c | 43 | ||||
| -rw-r--r-- | math/s_ccoshf.c | 43 | ||||
| -rw-r--r-- | math/s_ccoshl.c | 43 | ||||
| -rw-r--r-- | math/s_csin.c | 43 | ||||
| -rw-r--r-- | math/s_csinf.c | 43 | ||||
| -rw-r--r-- | math/s_csinh.c | 43 | ||||
| -rw-r--r-- | math/s_csinhf.c | 43 | ||||
| -rw-r--r-- | math/s_csinhl.c | 43 | ||||
| -rw-r--r-- | math/s_csinl.c | 43 | ||||
| -rw-r--r-- | sysdeps/i386/fpu/libm-test-ulps | 217 | ||||
| -rw-r--r-- | sysdeps/x86_64/fpu/libm-test-ulps | 114 |
14 files changed, 801 insertions, 64 deletions
diff --git a/ChangeLog b/ChangeLog index 8680123faf..9fda91d7d6 100644 --- a/ChangeLog +++ b/ChangeLog @@ -1,3 +1,24 @@ +2012-05-19 Joseph Myers <joseph@codesourcery.com> + + [BZ #14123] + * math/s_ccosh.c: Include <float.h> + (__ccosh): Avoid internal overflow calculating sinh and cosh + values before multiplying by sin and cos values. + * math/s_ccoshf.c: Likewise. + * math/s_ccoshl.c: Likewise. + * math/s_csin.c: Likewise. + * math/s_csinf.c: Likewise. + * math/s_csinl.c: Likewise. + * math/s_csinh.c: Likewise. + * math/s_csinhf.c: Likewise. + * math/s_csinhl.c: Likewise. + * math/libm-test.inc (ccos_test): Add more tests. + (ccosh_test): Likewise. + (csin_test): Likewise. + (csinh_test): Likewise. + * sysdeps/i386/fpu/libm-test-ulps: Update. + * sysdeps/x86_64/fpu/libm-test-ulps: Likewise. + 2012-05-19 H.J. Lu <hongjiu.lu@intel.com> * sysdeps/unix/sysv/linux/wordsize-64/preadv.c: New file. diff --git a/NEWS b/NEWS index 48ceada32f..5bc3dd9459 100644 --- a/NEWS +++ b/NEWS @@ -27,7 +27,7 @@ Version 2.16 13919, 13920, 13921, 13922, 13923, 13924, 13926, 13927, 13928, 13938, 13941, 13942, 13954, 13955, 13956, 13963, 13967, 13970, 13973, 13979, 13983, 13986, 14012, 14027, 14033, 14034, 14040, 14043, 14044, 14049, - 14053, 14055, 14059, 14064, 14080, 14083, 14103, 14104, 14109 + 14053, 14055, 14059, 14064, 14080, 14083, 14103, 14104, 14109, 14123 * ISO C11 support: diff --git a/math/libm-test.inc b/math/libm-test.inc index 47bbd5f1ef..19c3c8ae3f 100644 --- a/math/libm-test.inc +++ b/math/libm-test.inc @@ -1955,6 +1955,37 @@ ccos_test (void) TEST_c_c (ccos, 0.75L, 1.25L, 1.38173873063425888530729933139078645L, -1.09193013555397466170919531722024128L); TEST_c_c (ccos, -2, -3, -4.18962569096880723013255501961597373L, -9.10922789375533659797919726277886212L); + TEST_c_c (ccos, 0.75, 89.5, 2.708024460708609732016532185663087200560e38L, -2.522786001038096774676288412995370563339e38L); + TEST_c_c (ccos, 0.75, -89.5, 2.708024460708609732016532185663087200560e38L, 2.522786001038096774676288412995370563339e38L); + TEST_c_c (ccos, -0.75, 89.5, 2.708024460708609732016532185663087200560e38L, 2.522786001038096774676288412995370563339e38L); + TEST_c_c (ccos, -0.75, -89.5, 2.708024460708609732016532185663087200560e38L, -2.522786001038096774676288412995370563339e38L); + +#ifndef TEST_FLOAT + TEST_c_c (ccos, 0.75, 710.5, 1.347490911916428129246890157395342279438e308L, -1.255317763348154410745082950806112487736e308L); + TEST_c_c (ccos, 0.75, -710.5, 1.347490911916428129246890157395342279438e308L, 1.255317763348154410745082950806112487736e308L); + TEST_c_c (ccos, -0.75, 710.5, 1.347490911916428129246890157395342279438e308L, 1.255317763348154410745082950806112487736e308L); + TEST_c_c (ccos, -0.75, -710.5, 1.347490911916428129246890157395342279438e308L, -1.255317763348154410745082950806112487736e308L); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (ccos, 0.75, 11357.25, 9.001213196851067077465606717616495588201e4931L, -8.385498349388321535962327491346664141020e4931L); + TEST_c_c (ccos, 0.75, -11357.25, 9.001213196851067077465606717616495588201e4931L, 8.385498349388321535962327491346664141020e4931L); + TEST_c_c (ccos, -0.75, 11357.25, 9.001213196851067077465606717616495588201e4931L, 8.385498349388321535962327491346664141020e4931L); + TEST_c_c (ccos, -0.75, -11357.25, 9.001213196851067077465606717616495588201e4931L, -8.385498349388321535962327491346664141020e4931L); +#endif + +#ifdef TEST_FLOAT + TEST_c_c (ccos, 0x1p-149, 180, plus_infty, -1.043535896672617552965983803453927655332e33L, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_DOUBLE || (defined TEST_LDOUBLE && LDBL_MAX_EXP == 1024) + TEST_c_c (ccos, 0x1p-1074, 1440, plus_infty, -5.981479269486130556466515778180916082415e301L, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (ccos, 0x1p-16434L, 22730, plus_infty, -1.217853148905605987081057582351152052687e4924L, OVERFLOW_EXCEPTION); +#endif + END (ccos, complex); } @@ -2024,6 +2055,37 @@ ccosh_test (void) TEST_c_c (ccosh, -2, -3, -3.72454550491532256547397070325597253L, 0.511822569987384608834463849801875634L); + TEST_c_c (ccosh, 89.5, 0.75, 2.708024460708609732016532185663087200560e38L, 2.522786001038096774676288412995370563339e38L); + TEST_c_c (ccosh, -89.5, 0.75, 2.708024460708609732016532185663087200560e38L, -2.522786001038096774676288412995370563339e38L); + TEST_c_c (ccosh, 89.5, -0.75, 2.708024460708609732016532185663087200560e38L, -2.522786001038096774676288412995370563339e38L); + TEST_c_c (ccosh, -89.5, -0.75, 2.708024460708609732016532185663087200560e38L, 2.522786001038096774676288412995370563339e38L); + +#ifndef TEST_FLOAT + TEST_c_c (ccosh, 710.5, 0.75, 1.347490911916428129246890157395342279438e308L, 1.255317763348154410745082950806112487736e308L); + TEST_c_c (ccosh, -710.5, 0.75, 1.347490911916428129246890157395342279438e308L, -1.255317763348154410745082950806112487736e308L); + TEST_c_c (ccosh, 710.5, -0.75, 1.347490911916428129246890157395342279438e308L, -1.255317763348154410745082950806112487736e308L); + TEST_c_c (ccosh, -710.5, -0.75, 1.347490911916428129246890157395342279438e308L, 1.255317763348154410745082950806112487736e308L); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (ccosh, 11357.25, 0.75, 9.001213196851067077465606717616495588201e4931L, 8.385498349388321535962327491346664141020e4931L); + TEST_c_c (ccosh, -11357.25, 0.75, 9.001213196851067077465606717616495588201e4931L, -8.385498349388321535962327491346664141020e4931L); + TEST_c_c (ccosh, 11357.25, -0.75, 9.001213196851067077465606717616495588201e4931L, -8.385498349388321535962327491346664141020e4931L); + TEST_c_c (ccosh, -11357.25, -0.75, 9.001213196851067077465606717616495588201e4931L, 8.385498349388321535962327491346664141020e4931L); +#endif + +#ifdef TEST_FLOAT + TEST_c_c (ccosh, 180, 0x1p-149, plus_infty, 1.043535896672617552965983803453927655332e33L, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_DOUBLE || (defined TEST_LDOUBLE && LDBL_MAX_EXP == 1024) + TEST_c_c (ccosh, 1440, 0x1p-1074, plus_infty, 5.981479269486130556466515778180916082415e301L, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (ccosh, 22730, 0x1p-16434L, plus_infty, 1.217853148905605987081057582351152052687e4924L, OVERFLOW_EXCEPTION); +#endif + END (ccosh, complex); } @@ -2908,6 +2970,37 @@ csin_test (void) TEST_c_c (csin, 0.75L, 1.25L, 1.28722291002649188575873510790565441L, 1.17210635989270256101081285116138863L); TEST_c_c (csin, -2, -3, -9.15449914691142957346729954460983256L, 4.16890695996656435075481305885375484L); + TEST_c_c (csin, 0.75, 89.5, 2.522786001038096774676288412995370563339e38L, 2.708024460708609732016532185663087200560e38L); + TEST_c_c (csin, 0.75, -89.5, 2.522786001038096774676288412995370563339e38L, -2.708024460708609732016532185663087200560e38L); + TEST_c_c (csin, -0.75, 89.5, -2.522786001038096774676288412995370563339e38L, 2.708024460708609732016532185663087200560e38L); + TEST_c_c (csin, -0.75, -89.5, -2.522786001038096774676288412995370563339e38L, -2.708024460708609732016532185663087200560e38L); + +#ifndef TEST_FLOAT + TEST_c_c (csin, 0.75, 710.5, 1.255317763348154410745082950806112487736e308L, 1.347490911916428129246890157395342279438e308L); + TEST_c_c (csin, 0.75, -710.5, 1.255317763348154410745082950806112487736e308L, -1.347490911916428129246890157395342279438e308L); + TEST_c_c (csin, -0.75, 710.5, -1.255317763348154410745082950806112487736e308L, 1.347490911916428129246890157395342279438e308L); + TEST_c_c (csin, -0.75, -710.5, -1.255317763348154410745082950806112487736e308L, -1.347490911916428129246890157395342279438e308L); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (csin, 0.75, 11357.25, 8.385498349388321535962327491346664141020e4931L, 9.001213196851067077465606717616495588201e4931L); + TEST_c_c (csin, 0.75, -11357.25, 8.385498349388321535962327491346664141020e4931L, -9.001213196851067077465606717616495588201e4931L); + TEST_c_c (csin, -0.75, 11357.25, -8.385498349388321535962327491346664141020e4931L, 9.001213196851067077465606717616495588201e4931L); + TEST_c_c (csin, -0.75, -11357.25, -8.385498349388321535962327491346664141020e4931L, -9.001213196851067077465606717616495588201e4931L); +#endif + +#ifdef TEST_FLOAT + TEST_c_c (csin, 0x1p-149, 180, 1.043535896672617552965983803453927655332e33L, plus_infty, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_DOUBLE || (defined TEST_LDOUBLE && LDBL_MAX_EXP == 1024) + TEST_c_c (csin, 0x1p-1074, 1440, 5.981479269486130556466515778180916082415e301L, plus_infty, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (csin, 0x1p-16434L, 22730, 1.217853148905605987081057582351152052687e4924L, plus_infty, OVERFLOW_EXCEPTION); +#endif + END (csin, complex); } @@ -2976,6 +3069,37 @@ csinh_test (void) TEST_c_c (csinh, 0.75L, 1.25L, 0.259294854551162779153349830618433028L, 1.22863452409509552219214606515777594L); TEST_c_c (csinh, -2, -3, 3.59056458998577995201256544779481679L, -0.530921086248519805267040090660676560L); + TEST_c_c (csinh, 89.5, 0.75, 2.708024460708609732016532185663087200560e38L, 2.522786001038096774676288412995370563339e38L); + TEST_c_c (csinh, -89.5, 0.75, -2.708024460708609732016532185663087200560e38L, 2.522786001038096774676288412995370563339e38L); + TEST_c_c (csinh, 89.5, -0.75, 2.708024460708609732016532185663087200560e38L, -2.522786001038096774676288412995370563339e38L); + TEST_c_c (csinh, -89.5, -0.75, -2.708024460708609732016532185663087200560e38L, -2.522786001038096774676288412995370563339e38L); + +#ifndef TEST_FLOAT + TEST_c_c (csinh, 710.5, 0.75, 1.347490911916428129246890157395342279438e308L, 1.255317763348154410745082950806112487736e308L); + TEST_c_c (csinh, -710.5, 0.75, -1.347490911916428129246890157395342279438e308L, 1.255317763348154410745082950806112487736e308L); + TEST_c_c (csinh, 710.5, -0.75, 1.347490911916428129246890157395342279438e308L, -1.255317763348154410745082950806112487736e308L); + TEST_c_c (csinh, -710.5, -0.75, -1.347490911916428129246890157395342279438e308L, -1.255317763348154410745082950806112487736e308L); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (csinh, 11357.25, 0.75, 9.001213196851067077465606717616495588201e4931L, 8.385498349388321535962327491346664141020e4931L); + TEST_c_c (csinh, -11357.25, 0.75, -9.001213196851067077465606717616495588201e4931L, 8.385498349388321535962327491346664141020e4931L); + TEST_c_c (csinh, 11357.25, -0.75, 9.001213196851067077465606717616495588201e4931L, -8.385498349388321535962327491346664141020e4931L); + TEST_c_c (csinh, -11357.25, -0.75, -9.001213196851067077465606717616495588201e4931L, -8.385498349388321535962327491346664141020e4931L); +#endif + +#ifdef TEST_FLOAT + TEST_c_c (csinh, 180, 0x1p-149, plus_infty, 1.043535896672617552965983803453927655332e33L, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_DOUBLE || (defined TEST_LDOUBLE && LDBL_MAX_EXP == 1024) + TEST_c_c (csinh, 1440, 0x1p-1074, plus_infty, 5.981479269486130556466515778180916082415e301L, OVERFLOW_EXCEPTION); +#endif + +#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384 + TEST_c_c (csinh, 22730, 0x1p-16434L, plus_infty, 1.217853148905605987081057582351152052687e4924L, OVERFLOW_EXCEPTION); +#endif + END (csinh, complex); } diff --git a/math/s_ccosh.c b/math/s_ccosh.c index 2c2b71ceab..44c9944466 100644 --- a/math/s_ccosh.c +++ b/math/s_ccosh.c @@ -1,5 +1,5 @@ /* Complex cosine hyperbole function for double. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ double __ccosh (__complex__ double x) @@ -37,14 +36,44 @@ __ccosh (__complex__ double x) if (__builtin_expect (icls >= FP_ZERO, 1)) { /* Imaginary part is finite. */ - double sinh_val = __ieee754_sinh (__real__ x); - double cosh_val = __ieee754_cosh (__real__ x); + const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2); double sinix, cosix; __sincos (__imag__ x, &sinix, &cosix); - __real__ retval = cosh_val * cosix; - __imag__ retval = sinh_val * sinix; + if (fabs (__real__ x) > t) + { + double exp_t = __ieee754_exp (t); + double rx = fabs (__real__ x); + if (signbit (__real__ x)) + sinix = -sinix; + rx -= t; + sinix *= exp_t / 2.0; + cosix *= exp_t / 2.0; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = DBL_MAX * cosix; + __imag__ retval = DBL_MAX * sinix; + } + else + { + double exp_val = __ieee754_exp (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_cosh (__real__ x) * cosix; + __imag__ retval = __ieee754_sinh (__real__ x) * sinix; + } } else { diff --git a/math/s_ccoshf.c b/math/s_ccoshf.c index a5a12c13e3..d6f811049e 100644 --- a/math/s_ccoshf.c +++ b/math/s_ccoshf.c @@ -1,5 +1,5 @@ /* Complex cosine hyperbole function for float. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ float __ccoshf (__complex__ float x) @@ -37,14 +36,44 @@ __ccoshf (__complex__ float x) if (__builtin_expect (icls >= FP_ZERO, 1)) { /* Imaginary part is finite. */ - float sinh_val = __ieee754_sinhf (__real__ x); - float cosh_val = __ieee754_coshf (__real__ x); + const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2); float sinix, cosix; __sincosf (__imag__ x, &sinix, &cosix); - __real__ retval = cosh_val * cosix; - __imag__ retval = sinh_val * sinix; + if (fabsf (__real__ x) > t) + { + float exp_t = __ieee754_expf (t); + float rx = fabsf (__real__ x); + if (signbit (__real__ x)) + sinix = -sinix; + rx -= t; + sinix *= exp_t / 2.0f; + cosix *= exp_t / 2.0f; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = FLT_MAX * cosix; + __imag__ retval = FLT_MAX * sinix; + } + else + { + float exp_val = __ieee754_expf (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_coshf (__real__ x) * cosix; + __imag__ retval = __ieee754_sinhf (__real__ x) * sinix; + } } else { diff --git a/math/s_ccoshl.c b/math/s_ccoshl.c index 32fdd8cf81..77a9ae3869 100644 --- a/math/s_ccoshl.c +++ b/math/s_ccoshl.c @@ -1,5 +1,5 @@ /* Complex cosine hyperbole function for long double. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ long double __ccoshl (__complex__ long double x) @@ -37,14 +36,44 @@ __ccoshl (__complex__ long double x) if (__builtin_expect (icls >= FP_ZERO, 1)) { /* Imaginary part is finite. */ - long double sinh_val = __ieee754_sinhl (__real__ x); - long double cosh_val = __ieee754_coshl (__real__ x); + const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); long double sinix, cosix; __sincosl (__imag__ x, &sinix, &cosix); - __real__ retval = cosh_val * cosix; - __imag__ retval = sinh_val * sinix; + if (fabsl (__real__ x) > t) + { + long double exp_t = __ieee754_expl (t); + long double rx = fabsl (__real__ x); + if (signbit (__real__ x)) + sinix = -sinix; + rx -= t; + sinix *= exp_t / 2.0L; + cosix *= exp_t / 2.0L; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = LDBL_MAX * cosix; + __imag__ retval = LDBL_MAX * sinix; + } + else + { + long double exp_val = __ieee754_expl (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_coshl (__real__ x) * cosix; + __imag__ retval = __ieee754_sinhl (__real__ x) * sinix; + } } else { diff --git a/math/s_csin.c b/math/s_csin.c index cd4c8f0201..602c14e537 100644 --- a/math/s_csin.c +++ b/math/s_csin.c @@ -1,5 +1,5 @@ /* Complex sine function for double. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ double __csin (__complex__ double x) @@ -40,14 +39,44 @@ __csin (__complex__ double x) if (__builtin_expect (rcls >= FP_ZERO, 1)) { /* Real part is finite. */ - double sinh_val = __ieee754_sinh (__imag__ x); - double cosh_val = __ieee754_cosh (__imag__ x); + const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2); double sinix, cosix; __sincos (__real__ x, &sinix, &cosix); - __real__ retval = cosh_val * sinix; - __imag__ retval = sinh_val * cosix; + if (fabs (__imag__ x) > t) + { + double exp_t = __ieee754_exp (t); + double ix = fabs (__imag__ x); + if (signbit (__imag__ x)) + cosix = -cosix; + ix -= t; + sinix *= exp_t / 2.0; + cosix *= exp_t / 2.0; + if (ix > t) + { + ix -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (ix > t) + { + /* Overflow (original imaginary part of x > 3t). */ + __real__ retval = DBL_MAX * sinix; + __imag__ retval = DBL_MAX * cosix; + } + else + { + double exp_val = __ieee754_exp (ix); + __real__ retval = exp_val * sinix; + __imag__ retval = exp_val * cosix; + } + } + else + { + __real__ retval = __ieee754_cosh (__imag__ x) * sinix; + __imag__ retval = __ieee754_sinh (__imag__ x) * cosix; + } if (negate) __real__ retval = -__real__ retval; diff --git a/math/s_csinf.c b/math/s_csinf.c index d86cd3b4a1..c1d6a4f28e 100644 --- a/math/s_csinf.c +++ b/math/s_csinf.c @@ -1,5 +1,5 @@ /* Complex sine function for float. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ float __csinf (__complex__ float x) @@ -40,14 +39,44 @@ __csinf (__complex__ float x) if (__builtin_expect (rcls >= FP_ZERO, 1)) { /* Real part is finite. */ - float sinh_val = __ieee754_sinhf (__imag__ x); - float cosh_val = __ieee754_coshf (__imag__ x); + const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2); float sinix, cosix; __sincosf (__real__ x, &sinix, &cosix); - __real__ retval = cosh_val * sinix; - __imag__ retval = sinh_val * cosix; + if (fabsf (__imag__ x) > t) + { + float exp_t = __ieee754_expf (t); + float ix = fabsf (__imag__ x); + if (signbit (__imag__ x)) + cosix = -cosix; + ix -= t; + sinix *= exp_t / 2.0f; + cosix *= exp_t / 2.0f; + if (ix > t) + { + ix -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (ix > t) + { + /* Overflow (original imaginary part of x > 3t). */ + __real__ retval = FLT_MAX * sinix; + __imag__ retval = FLT_MAX * cosix; + } + else + { + float exp_val = __ieee754_expf (ix); + __real__ retval = exp_val * sinix; + __imag__ retval = exp_val * cosix; + } + } + else + { + __real__ retval = __ieee754_coshf (__imag__ x) * sinix; + __imag__ retval = __ieee754_sinhf (__imag__ x) * cosix; + } if (negate) __real__ retval = -__real__ retval; diff --git a/math/s_csinh.c b/math/s_csinh.c index f054dfc278..56bb256239 100644 --- a/math/s_csinh.c +++ b/math/s_csinh.c @@ -1,5 +1,5 @@ /* Complex sine hyperbole function for double. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ double __csinh (__complex__ double x) @@ -40,14 +39,44 @@ __csinh (__complex__ double x) if (__builtin_expect (icls >= FP_ZERO, 1)) { /* Imaginary part is finite. */ - double sinh_val = __ieee754_sinh (__real__ x); - double cosh_val = __ieee754_cosh (__real__ x); + const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2); double sinix, cosix; __sincos (__imag__ x, &sinix, &cosix); - __real__ retval = sinh_val * cosix; - __imag__ retval = cosh_val * sinix; + if (fabs (__real__ x) > t) + { + double exp_t = __ieee754_exp (t); + double rx = fabs (__real__ x); + if (signbit (__real__ x)) + cosix = -cosix; + rx -= t; + sinix *= exp_t / 2.0; + cosix *= exp_t / 2.0; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = DBL_MAX * cosix; + __imag__ retval = DBL_MAX * sinix; + } + else + { + double exp_val = __ieee754_exp (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_sinh (__real__ x) * cosix; + __imag__ retval = __ieee754_cosh (__real__ x) * sinix; + } if (negate) __real__ retval = -__real__ retval; diff --git a/math/s_csinhf.c b/math/s_csinhf.c index 926bb37990..ba85e79b8a 100644 --- a/math/s_csinhf.c +++ b/math/s_csinhf.c @@ -1,5 +1,5 @@ /* Complex sine hyperbole function for float. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ float __csinhf (__complex__ float x) @@ -40,14 +39,44 @@ __csinhf (__complex__ float x) if (__builtin_expect (icls >= FP_ZERO, 1)) { /* Imaginary part is finite. */ - float sinh_val = __ieee754_sinhf (__real__ x); - float cosh_val = __ieee754_coshf (__real__ x); + const int t = (int) ((FLT_MAX_EXP - 1) * M_LN2); float sinix, cosix; __sincosf (__imag__ x, &sinix, &cosix); - __real__ retval = sinh_val * cosix; - __imag__ retval = cosh_val * sinix; + if (fabsf (__real__ x) > t) + { + float exp_t = __ieee754_expf (t); + float rx = fabsf (__real__ x); + if (signbit (__real__ x)) + cosix = -cosix; + rx -= t; + sinix *= exp_t / 2.0f; + cosix *= exp_t / 2.0f; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = FLT_MAX * cosix; + __imag__ retval = FLT_MAX * sinix; + } + else + { + float exp_val = __ieee754_expf (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_sinhf (__real__ x) * cosix; + __imag__ retval = __ieee754_coshf (__real__ x) * sinix; + } if (negate) __real__ retval = -__real__ retval; diff --git a/math/s_csinhl.c b/math/s_csinhl.c index ff0e8b3871..e482e3a62e 100644 --- a/math/s_csinhl.c +++ b/math/s_csinhl.c @@ -1,5 +1,5 @@ /* Complex sine hyperbole function for long double. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ long double __csinhl (__complex__ long double x) @@ -40,14 +39,44 @@ __csinhl (__complex__ long double x) if (__builtin_expect (icls >= FP_ZERO, 1)) { /* Imaginary part is finite. */ - long double sinh_val = __ieee754_sinhl (__real__ x); - long double cosh_val = __ieee754_coshl (__real__ x); + const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); long double sinix, cosix; __sincosl (__imag__ x, &sinix, &cosix); - __real__ retval = sinh_val * cosix; - __imag__ retval = cosh_val * sinix; + if (fabsl (__real__ x) > t) + { + long double exp_t = __ieee754_expl (t); + long double rx = fabsl (__real__ x); + if (signbit (__real__ x)) + cosix = -cosix; + rx -= t; + sinix *= exp_t / 2.0L; + cosix *= exp_t / 2.0L; + if (rx > t) + { + rx -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (rx > t) + { + /* Overflow (original real part of x > 3t). */ + __real__ retval = LDBL_MAX * cosix; + __imag__ retval = LDBL_MAX * sinix; + } + else + { + long double exp_val = __ieee754_expl (rx); + __real__ retval = exp_val * cosix; + __imag__ retval = exp_val * sinix; + } + } + else + { + __real__ retval = __ieee754_sinhl (__real__ x) * cosix; + __imag__ retval = __ieee754_coshl (__real__ x) * sinix; + } if (negate) __real__ retval = -__real__ retval; diff --git a/math/s_csinl.c b/math/s_csinl.c index df20e8b338..ff43256e54 100644 --- a/math/s_csinl.c +++ b/math/s_csinl.c @@ -1,5 +1,5 @@ /* Complex sine function for long double. - Copyright (C) 1997, 2011 Free Software Foundation, Inc. + Copyright (C) 1997-2012 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. @@ -20,9 +20,8 @@ #include <complex.h> #include <fenv.h> #include <math.h> - #include <math_private.h> - +#include <float.h> __complex__ long double __csinl (__complex__ long double x) @@ -40,14 +39,44 @@ __csinl (__complex__ long double x) if (__builtin_expect (rcls >= FP_ZERO, 1)) { /* Real part is finite. */ - long double sinh_val = __ieee754_sinhl (__imag__ x); - long double cosh_val = __ieee754_coshl (__imag__ x); + const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); long double sinix, cosix; __sincosl (__real__ x, &sinix, &cosix); - __real__ retval = cosh_val * sinix; - __imag__ retval = sinh_val * cosix; + if (fabsl (__imag__ x) > t) + { + long double exp_t = __ieee754_expl (t); + long double ix = fabsl (__imag__ x); + if (signbit (__imag__ x)) + cosix = -cosix; + ix -= t; + sinix *= exp_t / 2.0L; + cosix *= exp_t / 2.0L; + if (ix > t) + { + ix -= t; + sinix *= exp_t; + cosix *= exp_t; + } + if (ix > t) + { + /* Overflow (original imaginary part of x > 3t). */ + __real__ retval = LDBL_MAX * sinix; + __imag__ retval = LDBL_MAX * cosix; + } + else + { + long double exp_val = __ieee754_expl (ix); + __real__ retval = exp_val * sinix; + __imag__ retval = exp_val * cosix; + } + } + else + { + __real__ retval = __ieee754_coshl (__imag__ x) * sinix; + __imag__ retval = __ieee754_sinhl (__imag__ x) * cosix; + } if (negate) __real__ retval = -__real__ retval; diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps index cdc26a0c63..b4ca2127d7 100644 --- a/sysdeps/i386/fpu/libm-test-ulps +++ b/sysdeps/i386/fpu/libm-test-ulps @@ -576,6 +576,33 @@ ildouble: 1 ldouble: 1 # ccos +Test "Real part of: ccos (-0.75 + 710.5 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (-0.75 + 710.5 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccos (-0.75 + 89.5 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (-0.75 + 89.5 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: ccos (-0.75 - 710.5 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (-0.75 - 710.5 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccos (-0.75 - 89.5 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (-0.75 - 89.5 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": +float: 1 +ifloat: 1 Test "Imaginary part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": float: 1 ifloat: 1 @@ -583,12 +610,41 @@ ildouble: 1 ldouble: 1 Test "Real part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 Test "Imaginary part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": ildouble: 1 ldouble: 1 +Test "Real part of: ccos (0.75 + 710.5 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (0.75 + 710.5 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccos (0.75 + 89.5 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (0.75 + 89.5 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: ccos (0.75 - 710.5 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (0.75 - 710.5 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccos (0.75 - 89.5 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (0.75 - 89.5 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (0x1p-1074 + 1440 i) == inf - 5.981479269486130556466515778180916082415e301 i plus overflow exception": +double: 1 +idouble: 1 # ccosh Test "Imaginary part of: ccosh (-2 - 3 i) == -3.72454550491532256547397070325597253 + 0.511822569987384608834463849801875634 i": @@ -598,6 +654,30 @@ idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "Real part of: ccosh (-710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (-710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccosh (-710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (-710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccosh (-89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (-89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: ccosh (-89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (-89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 Test "Real part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": double: 1 float: 1 @@ -608,6 +688,33 @@ double: 1 float: 1 idouble: 1 ifloat: 1 +Test "Imaginary part of: ccosh (1440 + 0x1p-1074 i) == inf + 5.981479269486130556466515778180916082415e301 i plus overflow exception": +double: 1 +idouble: 1 +Test "Real part of: ccosh (710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccosh (710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: ccosh (89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: ccosh (89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 # cexp Test "Real part of: cexp (-10000 + 0x1p16383 i) == 1.045876464564882298442774542991176546722e-4343 + 4.421154026488516836023811173959413420548e-4344 i": @@ -1130,6 +1237,30 @@ ildouble: 1 ldouble: 1 # csin +Test "Real part of: csin (-0.75 + 710.5 i) == -1.255317763348154410745082950806112487736e308 + 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csin (-0.75 + 710.5 i) == -1.255317763348154410745082950806112487736e308 + 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (-0.75 + 89.5 i) == -2.522786001038096774676288412995370563339e38 + 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csin (-0.75 + 89.5 i) == -2.522786001038096774676288412995370563339e38 + 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csin (-0.75 - 710.5 i) == -1.255317763348154410745082950806112487736e308 - 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csin (-0.75 - 710.5 i) == -1.255317763348154410745082950806112487736e308 - 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (-0.75 - 89.5 i) == -2.522786001038096774676288412995370563339e38 - 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csin (-0.75 - 89.5 i) == -2.522786001038096774676288412995370563339e38 - 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 Test "Imaginary part of: csin (-2 - 3 i) == -9.15449914691142957346729954460983256 + 4.16890695996656435075481305885375484 i": float: 1 ifloat: 1 @@ -1141,6 +1272,33 @@ ldouble: 1 Test "Imaginary part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": float: 1 ifloat: 1 +Test "Real part of: csin (0.75 + 710.5 i) == 1.255317763348154410745082950806112487736e308 + 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csin (0.75 + 710.5 i) == 1.255317763348154410745082950806112487736e308 + 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (0.75 + 89.5 i) == 2.522786001038096774676288412995370563339e38 + 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csin (0.75 + 89.5 i) == 2.522786001038096774676288412995370563339e38 + 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csin (0.75 - 710.5 i) == 1.255317763348154410745082950806112487736e308 - 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csin (0.75 - 710.5 i) == 1.255317763348154410745082950806112487736e308 - 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (0.75 - 89.5 i) == 2.522786001038096774676288412995370563339e38 - 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csin (0.75 - 89.5 i) == 2.522786001038096774676288412995370563339e38 - 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csin (0x1p-1074 + 1440 i) == 5.981479269486130556466515778180916082415e301 + inf i plus overflow exception": +double: 1 +idouble: 1 # csinh Test "Real part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i": @@ -1153,6 +1311,30 @@ idouble: 1 ifloat: 1 ildouble: 2 ldouble: 2 +Test "Real part of: csinh (-710.5 + 0.75 i) == -1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (-710.5 + 0.75 i) == -1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: csinh (-710.5 - 0.75 i) == -1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (-710.5 - 0.75 i) == -1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: csinh (-89.5 + 0.75 i) == -2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csinh (-89.5 + 0.75 i) == -2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csinh (-89.5 - 0.75 i) == -2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csinh (-89.5 - 0.75 i) == -2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 Test "Real part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": double: 1 float: 1 @@ -1163,6 +1345,33 @@ ldouble: 1 Test "Imaginary part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": float: 1 ifloat: 1 +Test "Imaginary part of: csinh (1440 + 0x1p-1074 i) == inf + 5.981479269486130556466515778180916082415e301 i plus overflow exception": +double: 1 +idouble: 1 +Test "Real part of: csinh (710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: csinh (710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Real part of: csinh (89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csinh (89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csinh (89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csinh (89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 # csqrt Test "Imaginary part of: csqrt (0x1.fffffffffffffp+1023 + 0x1p+1023 i) == 1.379778091031440685006200821918878702861e+154 + 3.257214233483129514781233066898042490248e+153 i": @@ -2474,12 +2683,16 @@ ldouble: 1 Function: Real part of "ccos": double: 1 +float: 1 idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 Function: Imaginary part of "ccos": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 @@ -2616,13 +2829,17 @@ ildouble: 4 ldouble: 4 Function: Real part of "csin": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 Function: Imaginary part of "csin": +double: 1 float: 1 +idouble: 1 ifloat: 1 Function: Real part of "csinh": diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index 9bb26d1fe7..d3770c8d1d 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -576,6 +576,18 @@ ildouble: 1 ldouble: 1 # ccos +Test "Imaginary part of: ccos (-0.75 + 710.5 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (-0.75 + 89.5 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (-0.75 - 710.5 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (-0.75 - 89.5 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 Test "Real part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": double: 1 idouble: 1 @@ -596,6 +608,21 @@ float: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "Imaginary part of: ccos (0.75 + 710.5 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (0.75 + 89.5 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (0.75 - 710.5 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccos (0.75 - 89.5 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccos (0x1p-1074 + 1440 i) == inf - 5.981479269486130556466515778180916082415e301 i plus overflow exception": +double: 1 +idouble: 1 # ccosh Test "Real part of: ccosh (-2 - 3 i) == -3.72454550491532256547397070325597253 + 0.511822569987384608834463849801875634 i": @@ -608,6 +635,18 @@ idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 +Test "Imaginary part of: ccosh (-710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (-710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (-89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (-89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 Test "Real part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": double: 1 float: 1 @@ -616,6 +655,21 @@ ifloat: 1 Test "Imaginary part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": float: 1 ifloat: 1 +Test "Imaginary part of: ccosh (1440 + 0x1p-1074 i) == inf + 5.981479269486130556466515778180916082415e301 i plus overflow exception": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: ccosh (89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: ccosh (89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 # cexp Test "Real part of: cexp (-10000 + 0x1p16383 i) == 1.045876464564882298442774542991176546722e-4343 + 4.421154026488516836023811173959413420548e-4344 i": @@ -1085,6 +1139,18 @@ ildouble: 1 ldouble: 1 # csin +Test "Real part of: csin (-0.75 + 710.5 i) == -1.255317763348154410745082950806112487736e308 + 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (-0.75 + 89.5 i) == -2.522786001038096774676288412995370563339e38 + 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csin (-0.75 - 710.5 i) == -1.255317763348154410745082950806112487736e308 - 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (-0.75 - 89.5 i) == -2.522786001038096774676288412995370563339e38 - 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 Test "Imaginary part of: csin (-2 - 3 i) == -9.15449914691142957346729954460983256 + 4.16890695996656435075481305885375484 i": double: 1 idouble: 1 @@ -1094,6 +1160,21 @@ ldouble: 1 Test "Imaginary part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": float: 1 ifloat: 1 +Test "Real part of: csin (0.75 + 710.5 i) == 1.255317763348154410745082950806112487736e308 + 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (0.75 + 89.5 i) == 2.522786001038096774676288412995370563339e38 + 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csin (0.75 - 710.5 i) == 1.255317763348154410745082950806112487736e308 - 1.347490911916428129246890157395342279438e308 i": +double: 1 +idouble: 1 +Test "Real part of: csin (0.75 - 89.5 i) == 2.522786001038096774676288412995370563339e38 - 2.708024460708609732016532185663087200560e38 i": +float: 1 +ifloat: 1 +Test "Real part of: csin (0x1p-1074 + 1440 i) == 5.981479269486130556466515778180916082415e301 + inf i plus overflow exception": +double: 1 +idouble: 1 # csinh Test "Real part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i": @@ -1104,6 +1185,18 @@ double: 1 idouble: 1 ildouble: 2 ldouble: 2 +Test "Imaginary part of: csinh (-710.5 + 0.75 i) == -1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (-710.5 - 0.75 i) == -1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (-89.5 + 0.75 i) == -2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csinh (-89.5 - 0.75 i) == -2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 Test "Real part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": float: 1 ifloat: 1 @@ -1112,6 +1205,21 @@ ldouble: 1 Test "Imaginary part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": float: 1 ifloat: 1 +Test "Imaginary part of: csinh (1440 + 0x1p-1074 i) == inf + 5.981479269486130556466515778180916082415e301 i plus overflow exception": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (710.5 + 0.75 i) == 1.347490911916428129246890157395342279438e308 + 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (710.5 - 0.75 i) == 1.347490911916428129246890157395342279438e308 - 1.255317763348154410745082950806112487736e308 i": +double: 1 +idouble: 1 +Test "Imaginary part of: csinh (89.5 + 0.75 i) == 2.708024460708609732016532185663087200560e38 + 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 +Test "Imaginary part of: csinh (89.5 - 0.75 i) == 2.708024460708609732016532185663087200560e38 - 2.522786001038096774676288412995370563339e38 i": +float: 1 +ifloat: 1 # csqrt Test "Real part of: csqrt (-2 + 3 i) == 0.89597747612983812471573375529004348 + 1.6741492280355400404480393008490519 i": @@ -2368,7 +2476,9 @@ ildouble: 1 ldouble: 1 Function: Imaginary part of "ccos": +double: 1 float: 1 +idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 @@ -2500,6 +2610,10 @@ ildouble: 4 ldouble: 4 Function: Real part of "csin": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 ildouble: 1 ldouble: 1 |