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57 lines
2.1 KiB
C
57 lines
2.1 KiB
C
/* Single-precision vector (SVE) asinh function
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Copyright (C) 2024 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include "sv_math.h"
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#include "sv_log1pf_inline.h"
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#define BigBound (0x5f800000) /* asuint(0x1p64). */
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static svfloat32_t NOINLINE
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special_case (svfloat32_t x, svfloat32_t y, svbool_t special)
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{
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return sv_call_f32 (asinhf, x, y, special);
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}
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/* Single-precision SVE asinh(x) routine. Implements the same algorithm as
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vector asinhf and log1p.
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Maximum error is 2.48 ULPs:
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SV_NAME_F1 (asinh) (0x1.008864p-3) got 0x1.ffbbbcp-4
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want 0x1.ffbbb8p-4. */
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svfloat32_t SV_NAME_F1 (asinh) (svfloat32_t x, const svbool_t pg)
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{
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svfloat32_t ax = svabs_x (pg, x);
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svuint32_t iax = svreinterpret_u32 (ax);
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svuint32_t sign = sveor_x (pg, svreinterpret_u32 (x), iax);
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svbool_t special = svcmpge (pg, iax, BigBound);
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/* asinh(x) = log(x + sqrt(x * x + 1)).
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For positive x, asinh(x) = log1p(x + x * x / (1 + sqrt(x * x + 1))). */
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svfloat32_t ax2 = svmul_x (pg, ax, ax);
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svfloat32_t d = svadd_x (pg, svsqrt_x (pg, svadd_x (pg, ax2, 1.0f)), 1.0f);
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svfloat32_t y
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= sv_log1pf_inline (svadd_x (pg, ax, svdiv_x (pg, ax2, d)), pg);
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if (__glibc_unlikely (svptest_any (pg, special)))
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return special_case (
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x, svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y))),
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special);
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return svreinterpret_f32 (svorr_x (pg, sign, svreinterpret_u32 (y)));
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}
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