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