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50 lines
1.7 KiB
C
50 lines
1.7 KiB
C
/* Single-precision vector (SVE) acosh 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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#define One 0x3f800000
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#define Thres 0x20000000 /* asuint(0x1p64) - One. */
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#include "sv_log1pf_inline.h"
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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 (acoshf, x, y, special);
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}
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/* Single-precision SVE acosh(x) routine. Implements the same algorithm as
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vector acoshf and log1p.
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Maximum error is 2.78 ULPs:
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SV_NAME_F1 (acosh) (0x1.01e996p+0) got 0x1.f45b42p-4
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want 0x1.f45b3cp-4. */
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svfloat32_t SV_NAME_F1 (acosh) (svfloat32_t x, const svbool_t pg)
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{
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svuint32_t ix = svreinterpret_u32 (x);
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svbool_t special = svcmpge (pg, svsub_x (pg, ix, One), Thres);
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svfloat32_t xm1 = svsub_x (pg, x, 1.0f);
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svfloat32_t u = svmul_x (pg, xm1, svadd_x (pg, x, 1.0f));
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svfloat32_t y = sv_log1pf_inline (svadd_x (pg, xm1, svsqrt_x (pg, u)), pg);
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if (__glibc_unlikely (svptest_any (pg, special)))
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return special_case (x, y, special);
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return y;
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}
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