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/* Double-precision vector (Advanced SIMD) 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_V_LOG1P_K0_SHORTCUT 0
#include "v_log1p_inline.h"
const static struct data
{
struct v_log1p_data log1p_consts;
uint64x2_t one, half;
} data = { .log1p_consts = V_LOG1P_CONSTANTS_TABLE,
.one = V2 (0x3ff0000000000000),
.half = V2 (0x3fe0000000000000) };
static float64x2_t VPCS_ATTR NOINLINE
special_case (float64x2_t x, float64x2_t y, uint64x2_t special)
{
return v_call_f64 (atanh, x, y, special);
}
/* Approximation for vector double-precision atanh(x) using modified log1p.
The greatest observed error is 3.31 ULP:
_ZGVnN2v_atanh(0x1.ffae6288b601p-6) got 0x1.ffd8ff31b5019p-6
want 0x1.ffd8ff31b501cp-6. */
VPCS_ATTR
float64x2_t V_NAME_D1 (atanh) (float64x2_t x)
{
const struct data *d = ptr_barrier (&data);
float64x2_t ax = vabsq_f64 (x);
uint64x2_t ia = vreinterpretq_u64_f64 (ax);
uint64x2_t sign = veorq_u64 (vreinterpretq_u64_f64 (x), ia);
uint64x2_t special = vcgeq_u64 (ia, d->one);
float64x2_t halfsign = vreinterpretq_f64_u64 (vorrq_u64 (sign, d->half));
#if WANT_SIMD_EXCEPT
ax = v_zerofy_f64 (ax, special);
#endif
float64x2_t y;
y = vaddq_f64 (ax, ax);
y = vdivq_f64 (y, vsubq_f64 (v_f64 (1), ax));
y = log1p_inline (y, &d->log1p_consts);
if (__glibc_unlikely (v_any_u64 (special)))
return special_case (x, vmulq_f64 (y, halfsign), special);
return vmulq_f64 (y, halfsign);
}
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