127 lines
4.0 KiB
C
127 lines
4.0 KiB
C
/*
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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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* Copyright (c) 1994-2009 Red Hat, Inc. All rights reserved.
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*
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* This copyrighted material is made available to anyone wishing to use,
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* modify, copy, or redistribute it subject to the terms and conditions
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* of the BSD License. This program is distributed in the hope that
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* it will be useful, but WITHOUT ANY WARRANTY expressed or implied,
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* including the implied warranties of MERCHANTABILITY or FITNESS FOR
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* A PARTICULAR PURPOSE. A copy of this license is available at
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* http://www.opensource.org/licenses. Any Red Hat trademarks that are
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* incorporated in the source code or documentation are not subject to
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* the BSD License and may only be used or replicated with the express
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* permission of Red Hat, Inc.
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*/
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/******************************************************************
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* The following routines are coded directly from the algorithms
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* and coefficients given in "Software Manual for the Elementary
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* Functions" by William J. Cody, Jr. and William Waite, Prentice
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* Hall, 1980.
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******************************************************************/
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/* Based on newlib/libm/mathfp/s_sine.c in Newlib. */
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#include "amdgcnmach.h"
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v64si v64df_numtest (v64df x);
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static const double HALF_PI = 1.57079632679489661923;
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static const double ONE_OVER_PI = 0.31830988618379067154;
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static const double r[] = { -0.16666666666666665052,
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0.83333333333331650314e-02,
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-0.19841269841201840457e-03,
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0.27557319210152756119e-05,
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-0.25052106798274584544e-07,
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0.16058936490371589114e-09,
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-0.76429178068910467734e-12,
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0.27204790957888846175e-14 };
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#if defined (__has_builtin) && __has_builtin (__builtin_gcn_fabsv)
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DEF_VD_MATH_FUNC(v64df, sine, v64df x, int cosine)
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{
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const double YMAX = 210828714.0;
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FUNCTION_INIT (v64df);
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v64si num_type = v64df_numtest (x);
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VECTOR_IF (num_type == NAN, cond)
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errno = EDOM;
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VECTOR_RETURN (x, cond);
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VECTOR_ELSEIF (num_type == INF, cond)
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errno = EDOM;
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VECTOR_RETURN (VECTOR_INIT (z_notanum.d), cond);
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VECTOR_ENDIF
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/* Use sin and cos properties to ease computations. */
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v64di sgn;
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v64df y;
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if (cosine)
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{
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sgn = VECTOR_INIT (0L);
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y = __builtin_gcn_fabsv (x) + HALF_PI;
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}
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else
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{
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sgn = x < 0.0;
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y = VECTOR_MERGE (-x, x, x < 0.0);
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}
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/* Check for values of y that will overflow here. */
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VECTOR_IF (y > YMAX, cond)
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errno = ERANGE;
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VECTOR_RETURN (x, cond);
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VECTOR_ENDIF
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/* Calculate the exponent. */
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v64si Nneg = __builtin_convertvector (y * ONE_OVER_PI - 0.5, v64si);
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v64si Npos = __builtin_convertvector (y * ONE_OVER_PI + 0.5, v64si);
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v64si N = VECTOR_MERGE (Nneg, Npos, y < 0.0);
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v64df XN = __builtin_convertvector (N, v64df);
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VECTOR_COND_MOVE (sgn, ~sgn, (N & 1) != 0);
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if (cosine)
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XN -= 0.5;
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y = __builtin_gcn_fabsv (x) - XN * __PI;
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v64df res;
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VECTOR_IF ((-z_rooteps < y) & (y < z_rooteps), cond)
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VECTOR_COND_MOVE (res, y, cond);
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VECTOR_ELSE (cond)
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v64df g = y * y;
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/* Calculate the Taylor series. */
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v64df R = (((((((r[6] * g + r[5]) * g + r[4]) * g + r[3]) * g + r[2]) * g + r[1]) * g + r[0]) * g);
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/* Finally, compute the result. */
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VECTOR_COND_MOVE (res, y + y * R, cond);
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VECTOR_ENDIF
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VECTOR_COND_MOVE (res, -res, sgn);
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VECTOR_RETURN (res, NO_COND);
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FUNCTION_RETURN;
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}
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#endif
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