82 lines
2.4 KiB
C
82 lines
2.4 KiB
C
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/*
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* Copyright 2023 Siemens
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*
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* The authors hereby grant permission to use, copy, modify, distribute,
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* and license this software and its documentation for any purpose, provided
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* that existing copyright notices are retained in all copies and that this
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* notice is included verbatim in any distributions. No written agreement,
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* license, or royalty fee is required for any of the authorized uses.
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* Modifications to this software may be copyrighted by their authors
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* and need not follow the licensing terms described here, provided that
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* the new terms are clearly indicated on the first page of each file where
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* they apply.
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*/
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*
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*/
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/* Based on newlib/libm/mathfp/e_acosh.c in Newlib. */
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#include "amdgcnmach.h"
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v64df v64df_log_aux (v64df, v64di);
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v64df v64df_log1p_aux (v64df, v64di);
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v64df v64df_sqrt_aux (v64df, v64di);
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DEF_VD_MATH_FUNC (v64df, acosh, v64df x)
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{
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static const double one = 1.0;
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static const double ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
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FUNCTION_INIT (v64df);
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v64si hx, lx;
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EXTRACT_WORDS (hx, lx, x);
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VECTOR_IF (hx < 0x3ff00000, cond) // x < 1 */
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VECTOR_RETURN ((x-x) / (x-x), cond);
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VECTOR_ENDIF
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VECTOR_IF (hx >=0x41b00000, cond) // x > 2**28 */
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VECTOR_IF2 (hx >=0x7ff00000, cond2, cond) // x is inf of NaN */
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VECTOR_RETURN (x+x, cond2);
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VECTOR_ELSE (cond2)
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/* acosh(huge)=log(2x) */
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VECTOR_RETURN (v64df_log_aux (x, __mask) + ln2, cond2);
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VECTOR_ENDIF
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VECTOR_ENDIF
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VECTOR_IF (((hx - 0x3ff00000) | lx) == 0, cond)
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/* acosh(1) = 0 */
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VECTOR_RETURN (VECTOR_INIT (0.0), cond);
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VECTOR_ENDIF
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VECTOR_IF (hx > 0x40000000, cond) /* 2**28 > x > 2 */
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{
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v64df t = x * x;
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VECTOR_RETURN (v64df_log_aux (2.0*x - one /
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(x + v64df_sqrt_aux (t - one, __mask)),
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__mask),
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cond);
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}
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VECTOR_ELSE (cond) /* 1<x<2 */
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{
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v64df t = x - one;
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VECTOR_RETURN (v64df_log1p_aux (t + v64df_sqrt_aux(2.0*t + t*t, __mask),
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__mask),
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cond);
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}
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VECTOR_ENDIF
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FUNCTION_RETURN;
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}
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DEF_VARIANTS (acosh, df, df)
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