diff options
Diffstat (limited to 'sysdeps/aarch64/fpu/atanh_sve.c')
-rw-r--r-- | sysdeps/aarch64/fpu/atanh_sve.c | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/sysdeps/aarch64/fpu/atanh_sve.c b/sysdeps/aarch64/fpu/atanh_sve.c new file mode 100644 index 0000000000..7a52728d70 --- /dev/null +++ b/sysdeps/aarch64/fpu/atanh_sve.c @@ -0,0 +1,59 @@ +/* Double-precision vector (SVE) atanh function + + Copyright (C) 2024 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <https://www.gnu.org/licenses/>. */ + +#define WANT_SV_LOG1P_K0_SHORTCUT 0 +#include "sv_log1p_inline.h" + +#define One (0x3ff0000000000000) +#define Half (0x3fe0000000000000) + +static svfloat64_t NOINLINE +special_case (svfloat64_t x, svfloat64_t y, svbool_t special) +{ + return sv_call_f64 (atanh, x, y, special); +} + +/* SVE approximation for double-precision atanh, based on log1p. + The greatest observed error is 2.81 ULP: + _ZGVsMxv_atanh(0x1.ffae6288b601p-6) got 0x1.ffd8ff31b5019p-6 + want 0x1.ffd8ff31b501cp-6. */ +svfloat64_t SV_NAME_D1 (atanh) (svfloat64_t x, const svbool_t pg) +{ + + svfloat64_t ax = svabs_x (pg, x); + svuint64_t iax = svreinterpret_u64 (ax); + svuint64_t sign = sveor_x (pg, svreinterpret_u64 (x), iax); + svfloat64_t halfsign = svreinterpret_f64 (svorr_x (pg, sign, Half)); + + /* It is special if iax >= 1. */ +// svbool_t special = svcmpge (pg, iax, One); + svbool_t special = svacge (pg, x, 1.0); + + /* Computation is performed based on the following sequence of equality: + (1+x)/(1-x) = 1 + 2x/(1-x). */ + svfloat64_t y; + y = svadd_x (pg, ax, ax); + y = svdiv_x (pg, y, svsub_x (pg, sv_f64 (1), ax)); + /* ln((1+x)/(1-x)) = ln(1+2x/(1-x)) = ln(1 + y). */ + y = sv_log1p_inline (y, pg); + + if (__glibc_unlikely (svptest_any (pg, special))) + return special_case (x, svmul_x (pg, halfsign, y), special); + return svmul_x (pg, halfsign, y); +} |