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/* Single-precision vector (SVE) sinh 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/>. */
#include "sv_expm1f_inline.h"
#include "sv_math.h"
static const struct data
{
struct sv_expm1f_data expm1f_consts;
uint32_t halff, large_bound;
} data = {
.expm1f_consts = SV_EXPM1F_DATA,
.halff = 0x3f000000,
/* 0x1.61814ep+6, above which expm1f helper overflows. */
.large_bound = 0x42b0c0a7,
};
static svfloat32_t NOINLINE
special_case (svfloat32_t x, svfloat32_t y, svbool_t pg)
{
return sv_call_f32 (sinhf, x, y, pg);
}
/* Approximation for SVE single-precision sinh(x) using expm1.
sinh(x) = (exp(x) - exp(-x)) / 2.
The maximum error is 2.26 ULP:
_ZGVsMxv_sinhf (0x1.e34a9ep-4) got 0x1.e469ep-4
want 0x1.e469e4p-4. */
svfloat32_t SV_NAME_F1 (sinh) (svfloat32_t x, const svbool_t pg)
{
const struct data *d = ptr_barrier (&data);
svfloat32_t ax = svabs_x (pg, x);
svuint32_t sign
= sveor_x (pg, svreinterpret_u32 (x), svreinterpret_u32 (ax));
svfloat32_t halfsign = svreinterpret_f32 (svorr_x (pg, sign, d->halff));
svbool_t special = svcmpge (pg, svreinterpret_u32 (ax), d->large_bound);
/* Up to the point that expm1f overflows, we can use it to calculate sinhf
using a slight rearrangement of the definition of asinh. This allows us to
retain acceptable accuracy for very small inputs. */
svfloat32_t t = expm1f_inline (ax, pg, &d->expm1f_consts);
t = svadd_x (pg, t, svdiv_x (pg, t, svadd_x (pg, t, 1.0)));
/* Fall back to the scalar variant for any lanes which would cause
expm1f to overflow. */
if (__glibc_unlikely (svptest_any (pg, special)))
return special_case (x, svmul_x (pg, t, halfsign), special);
return svmul_x (pg, t, halfsign);
}
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