glibc/sysdeps/aarch64/fpu/sv_expf_inline.h

65 lines
2.2 KiB
C

/* SVE helper for single-precision routines which depend on exp
Copyright (C) 2024-2025 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/>. */
#ifndef AARCH64_FPU_SV_EXPF_INLINE_H
#define AARCH64_FPU_SV_EXPF_INLINE_H
#include "sv_math.h"
struct sv_expf_data
{
float ln2_hi, ln2_lo, c1, null;
float inv_ln2, shift;
};
/* Shift is 1.5*2^17 + 127. */
#define SV_EXPF_DATA \
{ \
.c1 = 0.5f, .inv_ln2 = 0x1.715476p+0f, .ln2_hi = 0x1.62e4p-1f, \
.ln2_lo = 0x1.7f7d1cp-20f, .shift = 0x1.803f8p17f, \
}
static inline svfloat32_t
expf_inline (svfloat32_t x, const svbool_t pg, const struct sv_expf_data *d)
{
/* exp(x) = 2^n (1 + poly(r)), with 1 + poly(r) in [1/sqrt(2),sqrt(2)]
x = ln2*n + r, with r in [-ln2/2, ln2/2]. */
svfloat32_t lane_consts = svld1rq (svptrue_b32 (), &d->ln2_hi);
/* n = round(x/(ln2/N)). */
svfloat32_t z = svmad_x (pg, sv_f32 (d->inv_ln2), x, d->shift);
svfloat32_t n = svsub_x (pg, z, d->shift);
/* r = x - n*ln2/N. */
svfloat32_t r = x;
r = svmls_lane (r, n, lane_consts, 0);
r = svmls_lane (r, n, lane_consts, 1);
/* scale = 2^(n/N). */
svfloat32_t scale = svexpa (svreinterpret_u32 (z));
/* poly(r) = exp(r) - 1 ~= r + 0.5 r^2. */
svfloat32_t r2 = svmul_x (svptrue_b32 (), r, r);
svfloat32_t poly = svmla_lane (r, r2, lane_consts, 2);
return svmla_x (pg, scale, scale, poly);
}
#endif