136 lines
4.5 KiB
C
136 lines
4.5 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_asine.c in Newlib. */
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#include "amdgcnmach.h"
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v64si v64df_numtest (v64df);
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v64df v64df_sqrt_aux (v64df, v64di);
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static const double p[] = { -0.27368494524164255994e+2,
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0.57208227877891731407e+2,
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-0.39688862997404877339e+2,
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0.10152522233806463645e+2,
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-0.69674573447350646411 };
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static const double q[] = { -0.16421096714498560795e+3,
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0.41714430248260412556e+3,
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-0.38186303361750149284e+3,
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0.15095270841030604719e+3,
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-0.23823859153670238830e+2 };
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static const double a[] = { 0.0, 0.78539816339744830962 };
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static const double b[] = { 1.57079632679489661923, 0.78539816339744830962 };
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#if defined (__has_builtin) && __has_builtin (__builtin_gcn_fabsv)
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DEF_VD_MATH_FUNC (v64df, asine, v64df x, int acosine)
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{
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FUNCTION_INIT (v64df);
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v64si branch = VECTOR_INIT (0);
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/* Check for special values. */
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v64si i = v64df_numtest (x);
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VECTOR_IF ((i == NAN) | (i == INF), cond)
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errno = EDOM;
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VECTOR_RETURN (VECTOR_MERGE (x, VECTOR_INIT (z_infinity.d),
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i == NAN),
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cond);
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VECTOR_ENDIF
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v64df y = __builtin_gcn_fabsv (x);
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v64df g, res;
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VECTOR_IF (y > 0.5, cond)
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VECTOR_COND_MOVE (i, VECTOR_INIT (1 - acosine), cond);
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/* Check for range error. */
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VECTOR_IF2 (y > 1.0, cond2, cond)
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errno = ERANGE;
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VECTOR_RETURN (VECTOR_INIT (z_notanum.d), cond2);
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VECTOR_ENDIF
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VECTOR_COND_MOVE (g, (1.0 - y) / 2.0, cond);
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VECTOR_COND_MOVE (y, -2.0 * v64df_sqrt_aux (g, __mask), cond);
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VECTOR_COND_MOVE (branch, VECTOR_INIT (-1), cond);
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VECTOR_ELSE (cond)
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VECTOR_COND_MOVE (i, VECTOR_INIT (acosine), cond);
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VECTOR_IF2 (y < z_rooteps, cond2, cond)
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VECTOR_COND_MOVE (res, y, cond2);
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VECTOR_ELSE2 (cond2, cond)
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VECTOR_COND_MOVE (g, y * y, cond2);
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VECTOR_ENDIF
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VECTOR_ENDIF
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VECTOR_IF ((y >= z_rooteps) | __builtin_convertvector(branch, v64di), cond)
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{
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/* Calculate the Taylor series. */
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v64df P = ((((p[4] * g + p[3]) * g + p[2]) * g + p[1]) * g + p[0]) * g;
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v64df Q = ((((g + q[4]) * g + q[3]) * g + q[2]) * g + q[1]) * g + q[0];
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v64df R = P / Q;
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VECTOR_COND_MOVE (res, y + y * R, cond);
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}
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VECTOR_ENDIF
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v64df a_i = VECTOR_MERGE (VECTOR_INIT (a[1]), VECTOR_INIT (a[0]), i != 0);
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/* Calculate asine or acose. */
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if (acosine == 0)
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{
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VECTOR_COND_MOVE (res, (a_i + res) + a_i, NO_COND);
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VECTOR_IF (x < 0.0, cond)
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VECTOR_COND_MOVE (res, -res, cond);
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VECTOR_ENDIF
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}
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else
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{
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v64df b_i = VECTOR_MERGE (VECTOR_INIT(b[1]), VECTOR_INIT(b[0]), i != 0);
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VECTOR_IF (x < 0.0, cond)
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VECTOR_COND_MOVE (res, (b_i + res) + b_i, cond);
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VECTOR_ELSE (cond)
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VECTOR_COND_MOVE (res, (a_i - res) + a_i, cond);
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VECTOR_ENDIF
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}
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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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