128 lines
4.1 KiB
C
128 lines
4.1 KiB
C
/*
|
|
* Copyright 2023 Siemens
|
|
*
|
|
* The authors hereby grant permission to use, copy, modify, distribute,
|
|
* and license this software and its documentation for any purpose, provided
|
|
* that existing copyright notices are retained in all copies and that this
|
|
* notice is included verbatim in any distributions. No written agreement,
|
|
* license, or royalty fee is required for any of the authorized uses.
|
|
* Modifications to this software may be copyrighted by their authors
|
|
* and need not follow the licensing terms described here, provided that
|
|
* the new terms are clearly indicated on the first page of each file where
|
|
* they apply.
|
|
*/
|
|
|
|
/*
|
|
* Copyright (c) 1994-2009 Red Hat, Inc. All rights reserved.
|
|
*
|
|
* This copyrighted material is made available to anyone wishing to use,
|
|
* modify, copy, or redistribute it subject to the terms and conditions
|
|
* of the BSD License. This program is distributed in the hope that
|
|
* it will be useful, but WITHOUT ANY WARRANTY expressed or implied,
|
|
* including the implied warranties of MERCHANTABILITY or FITNESS FOR
|
|
* A PARTICULAR PURPOSE. A copy of this license is available at
|
|
* http://www.opensource.org/licenses. Any Red Hat trademarks that are
|
|
* incorporated in the source code or documentation are not subject to
|
|
* the BSD License and may only be used or replicated with the express
|
|
* permission of Red Hat, Inc.
|
|
*/
|
|
|
|
/******************************************************************
|
|
* The following routines are coded directly from the algorithms
|
|
* and coefficients given in "Software Manual for the Elementary
|
|
* Functions" by William J. Cody, Jr. and William Waite, Prentice
|
|
* Hall, 1980.
|
|
******************************************************************/
|
|
|
|
/* Based on newlib/libm/mathfp/sf_asine.c in Newlib. */
|
|
|
|
#include "amdgcnmach.h"
|
|
|
|
v64si v64sf_numtestf (v64sf);
|
|
v64sf v64sf_sqrtf (v64sf);
|
|
|
|
static const float p[] = { 0.933935835, -0.504400557 };
|
|
static const float q[] = { 0.560363004e+1, -0.554846723e+1 };
|
|
static const float a[] = { 0.0, 0.785398163 };
|
|
static const float b[] = { 1.570796326, 0.785398163 };
|
|
|
|
#if defined (__has_builtin) && __has_builtin (__builtin_gcn_fabsvf)
|
|
|
|
DEF_VS_MATH_FUNC (v64sf, asinef, v64sf x, int acosine)
|
|
{
|
|
FUNCTION_INIT (v64sf);
|
|
|
|
v64si branch = VECTOR_INIT (0);
|
|
|
|
/* Check for special values. */
|
|
v64si i = v64sf_numtestf (x);
|
|
VECTOR_IF ((i == NAN) | (i == INF), cond)
|
|
errno = EDOM;
|
|
VECTOR_RETURN (VECTOR_MERGE (x, VECTOR_INIT (z_infinity_f.f),
|
|
i == NAN),
|
|
cond);
|
|
VECTOR_ENDIF
|
|
|
|
v64sf y = __builtin_gcn_fabsvf (x);
|
|
v64sf g, res;
|
|
|
|
VECTOR_IF (y > 0.5f, cond)
|
|
VECTOR_COND_MOVE (i, VECTOR_INIT (1 - acosine), cond);
|
|
|
|
/* Check for range error. */
|
|
VECTOR_IF2 (y > 1.0f, cond2, cond)
|
|
errno = ERANGE;
|
|
VECTOR_RETURN (VECTOR_INIT (z_notanum_f.f), cond2);
|
|
VECTOR_ENDIF
|
|
|
|
VECTOR_COND_MOVE (g, (1.0f - y) / 2.0f, cond);
|
|
VECTOR_COND_MOVE (y, -2.0f * v64sf_sqrtf (g), cond);
|
|
VECTOR_COND_MOVE (branch, VECTOR_INIT (-1), cond);
|
|
VECTOR_ELSE (cond)
|
|
VECTOR_COND_MOVE (i, VECTOR_INIT (acosine), cond);
|
|
VECTOR_IF2 (y < z_rooteps_f, cond2, cond)
|
|
VECTOR_COND_MOVE (res, y, cond2);
|
|
VECTOR_ELSE2 (cond2, cond)
|
|
VECTOR_COND_MOVE (g, y * y, cond2);
|
|
VECTOR_ENDIF
|
|
VECTOR_ENDIF
|
|
|
|
VECTOR_IF ((y >= z_rooteps_f) | branch, cond)
|
|
{
|
|
/* Calculate the Taylor series. */
|
|
v64sf P = (p[1] * g + p[0]) * g;
|
|
v64sf Q = (g + q[1]) * g + q[0];
|
|
v64sf R = P / Q;
|
|
|
|
VECTOR_COND_MOVE (res, y + y * R, cond);
|
|
}
|
|
VECTOR_ENDIF
|
|
|
|
v64sf a_i = VECTOR_MERGE (VECTOR_INIT (a[1]), VECTOR_INIT (a[0]), i != 0);
|
|
|
|
/* Calculate asine or acose. */
|
|
if (acosine == 0)
|
|
{
|
|
VECTOR_COND_MOVE (res, (a_i + res) + a_i, NO_COND);
|
|
VECTOR_IF (x < 0.0f, cond)
|
|
VECTOR_COND_MOVE (res, -res, cond);
|
|
VECTOR_ENDIF
|
|
}
|
|
else
|
|
{
|
|
v64sf b_i = VECTOR_MERGE (VECTOR_INIT(b[1]), VECTOR_INIT(b[0]), i != 0);
|
|
|
|
VECTOR_IF (x < 0.0f, cond)
|
|
VECTOR_COND_MOVE (res, (b_i + res) + b_i, cond);
|
|
VECTOR_ELSE (cond)
|
|
VECTOR_COND_MOVE (res, (a_i - res) + a_i, cond);
|
|
VECTOR_ENDIF
|
|
}
|
|
|
|
VECTOR_RETURN (res, NO_COND);
|
|
|
|
FUNCTION_RETURN;
|
|
}
|
|
|
|
#endif
|