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/* -------------------------------------------------------------- */
/* (C)Copyright 2006,2008, */
/* International Business Machines Corporation */
/* All Rights Reserved. */
/* */
/* Redistribution and use in source and binary forms, with or */
/* without modification, are permitted provided that the */
/* following conditions are met: */
/* */
/* - Redistributions of source code must retain the above copyright*/
/* notice, this list of conditions and the following disclaimer. */
/* */
/* - Redistributions in binary form must reproduce the above */
/* copyright notice, this list of conditions and the following */
/* disclaimer in the documentation and/or other materials */
/* provided with the distribution. */
/* */
/* - Neither the name of IBM Corporation nor the names of its */
/* contributors may be used to endorse or promote products */
/* derived from this software without specific prior written */
/* permission. */
/* */
/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND */
/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, */
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR */
/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */
/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */
/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */
/* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */
/* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */
/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */
/* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
/* -------------------------------------------------------------- */
/* PROLOG END TAG zYx */
#ifdef __SPU__
#ifndef _SINHD2_H_
#define _SINHD2_H_ 1
#include <spu_intrinsics.h>
#include "expd2.h"
#include "recipd2.h"
/*
* FUNCTION
* vector double _sinhd2(vector double angle)
*
* DESCRIPTION
* The _sinhd2 function computes the hyperbolic sine of a vector of
* angles (expressed in radians) to an accuracy of a double precision
* floating point.
*/
static __inline vector double _sinhd2(vector double x)
{
// Coefficents for the power series
vec_double2 f03 = spu_splats(1.66666666666666666667E-01); // 1/(3!)
vec_double2 f05 = spu_splats(8.33333333333333333333E-03); // 1/(5!)
vec_double2 f07 = spu_splats(1.98412698412698412698E-04); // 1/(7!)
vec_double2 f09 = spu_splats(2.75573192239858906526E-06); // 1/(9!)
vec_double2 f11 = spu_splats(2.50521083854417187751E-08); // 1/(11!)
vec_double2 f13 = spu_splats(1.60590438368216145994E-10); // 1/(13!)
vec_double2 f15 = spu_splats(7.64716373181981647590E-13); // 1/(15!)
vec_double2 f17 = spu_splats(2.81145725434552076320E-15); // 1/(17!)
vec_double2 f19 = spu_splats(8.22063524662432971696E-18); // 1/(19!)
vec_double2 f21 = spu_splats(1.95729410633912612308E-20); // 1/(21!)
vec_double2 f23 = spu_splats(3.86817017063068403772E-23); // 1/(23!)
// Check if the input is within the range [ -1.0 ... 1.0 ]
// If it is, we want to use the power series, otherwise
// we want to use the 0.5 * (e^x - e^-x)
// round to float, check if within range. Results will be in
// slots 0 and 2, so we rotate right 4 bytes, and "or" with ourself
// to produce 64 bits of all 1's or 0's.
vec_uint4 use_exp = spu_cmpabsgt(spu_roundtf(x),spu_splats(1.0f));
use_exp = spu_or(use_exp,spu_rlmaskqwbyte(use_exp,-4));
// Perform the calculation of the power series using Horner's method
vec_double2 result;
vec_double2 x2 = spu_mul(x,x);
result = spu_madd(x2,f23,f21);
result = spu_madd(x2,result,f19);
result = spu_madd(x2,result,f17);
result = spu_madd(x2,result,f15);
result = spu_madd(x2,result,f13);
result = spu_madd(x2,result,f11);
result = spu_madd(x2,result,f09);
result = spu_madd(x2,result,f07);
result = spu_madd(x2,result,f05);
result = spu_madd(x2,result,f03);
result = spu_madd(x2,result,spu_splats(1.0));
result = spu_mul(x,result);
// Perform calculation as a function of 0.5 * (e^x - e^-x)
vec_double2 ex = _expd2(x);
vec_double2 ex_inv = _recipd2(ex);
vec_double2 r2= spu_sub(ex,ex_inv);
r2 = spu_mul(r2,spu_splats(0.5));
// Select either the power series or exp version
result = spu_sel(result,r2,(vec_ullong2)use_exp);
return result;
}
#endif /* _SINHD2_H_ */
#endif /* __SPU__ */
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