2024-02-20 16:59:40 +00:00
|
|
|
/* Single-precision vector (Advanced SIMD) acosh 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 "v_log1pf_inline.h"
|
|
|
|
|
|
|
|
#define SquareLim 0x1p64
|
|
|
|
|
|
|
|
const static struct data
|
|
|
|
{
|
|
|
|
struct v_log1pf_data log1pf_consts;
|
|
|
|
uint32x4_t one;
|
2024-09-23 14:32:14 +00:00
|
|
|
} data = { .log1pf_consts = V_LOG1PF_CONSTANTS_TABLE, .one = V4 (0x3f800000) };
|
|
|
|
|
|
|
|
#define Thresh vdup_n_u16 (0x2000) /* top(asuint(SquareLim) - asuint(1)). */
|
2024-02-20 16:59:40 +00:00
|
|
|
|
|
|
|
static float32x4_t NOINLINE VPCS_ATTR
|
|
|
|
special_case (float32x4_t x, float32x4_t y, uint16x4_t special,
|
2024-09-23 14:32:14 +00:00
|
|
|
const struct v_log1pf_data *d)
|
2024-02-20 16:59:40 +00:00
|
|
|
{
|
|
|
|
return v_call_f32 (acoshf, x, log1pf_inline (y, d), vmovl_u16 (special));
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Vector approximation for single-precision acosh, based on log1p. Maximum
|
|
|
|
error depends on WANT_SIMD_EXCEPT. With SIMD fp exceptions enabled, it
|
2024-09-23 14:32:14 +00:00
|
|
|
is 3.00 ULP:
|
|
|
|
_ZGVnN4v_acoshf(0x1.01df3ap+0) got 0x1.ef0a82p-4
|
|
|
|
want 0x1.ef0a7cp-4.
|
2024-02-20 16:59:40 +00:00
|
|
|
With exceptions disabled, we can compute u with a shorter dependency chain,
|
2024-09-23 14:32:14 +00:00
|
|
|
which gives maximum error of 3.22 ULP:
|
|
|
|
_ZGVnN4v_acoshf(0x1.007ef2p+0) got 0x1.fdcdccp-5
|
|
|
|
want 0x1.fdcdd2p-5. */
|
2024-02-20 16:59:40 +00:00
|
|
|
|
|
|
|
VPCS_ATTR float32x4_t NOINLINE V_NAME_F1 (acosh) (float32x4_t x)
|
|
|
|
{
|
|
|
|
const struct data *d = ptr_barrier (&data);
|
|
|
|
uint32x4_t ix = vreinterpretq_u32_f32 (x);
|
2024-09-23 14:32:14 +00:00
|
|
|
uint16x4_t special = vcge_u16 (vsubhn_u32 (ix, d->one), Thresh);
|
2024-02-20 16:59:40 +00:00
|
|
|
|
|
|
|
#if WANT_SIMD_EXCEPT
|
|
|
|
/* Mask special lanes with 1 to side-step spurious invalid or overflow. Use
|
|
|
|
only xm1 to calculate u, as operating on x will trigger invalid for NaN.
|
|
|
|
Widening sign-extend special predicate in order to mask with it. */
|
|
|
|
uint32x4_t p
|
|
|
|
= vreinterpretq_u32_s32 (vmovl_s16 (vreinterpret_s16_u16 (special)));
|
|
|
|
float32x4_t xm1 = v_zerofy_f32 (vsubq_f32 (x, v_f32 (1)), p);
|
|
|
|
float32x4_t u = vfmaq_f32 (vaddq_f32 (xm1, xm1), xm1, xm1);
|
|
|
|
#else
|
2024-09-23 14:32:14 +00:00
|
|
|
float32x4_t xm1 = vsubq_f32 (x, vreinterpretq_f32_u32 (d->one));
|
|
|
|
float32x4_t u
|
|
|
|
= vmulq_f32 (xm1, vaddq_f32 (x, vreinterpretq_f32_u32 (d->one)));
|
2024-02-20 16:59:40 +00:00
|
|
|
#endif
|
|
|
|
|
|
|
|
float32x4_t y = vaddq_f32 (xm1, vsqrtq_f32 (u));
|
|
|
|
|
|
|
|
if (__glibc_unlikely (v_any_u16h (special)))
|
2024-09-23 14:32:14 +00:00
|
|
|
return special_case (x, y, special, &d->log1pf_consts);
|
|
|
|
return log1pf_inline (y, &d->log1pf_consts);
|
2024-02-20 16:59:40 +00:00
|
|
|
}
|
|
|
|
libmvec_hidden_def (V_NAME_F1 (acosh))
|
|
|
|
HALF_WIDTH_ALIAS_F1 (acosh)
|