134 lines
6.0 KiB
C
134 lines
6.0 KiB
C
/* -------------------------------------------------------------- */
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/* (C)Copyright 2006,2007, */
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/* International Business Machines Corporation */
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/* All Rights Reserved. */
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/* */
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/* Redistribution and use in source and binary forms, with or */
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/* without modification, are permitted provided that the */
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/* following conditions are met: */
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/* */
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/* - Redistributions of source code must retain the above copyright*/
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/* notice, this list of conditions and the following disclaimer. */
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/* */
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/* - Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* - Neither the name of IBM Corporation nor the names of its */
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/* contributors may be used to endorse or promote products */
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/* derived from this software without specific prior written */
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/* permission. */
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/* Redistributions of source code must retain the above copyright */
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/* notice, this list of conditions and the following disclaimer. */
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/* */
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/* Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* Neither the name of IBM Corporation nor the names of its */
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/* contributors may be used to endorse or promote products */
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/* derived from this software without specific prior written */
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/* permission. */
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/* */
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/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND */
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/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, */
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/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
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/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
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/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR */
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/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */
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/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */
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/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
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/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */
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/* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */
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/* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */
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/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */
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/* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
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/* -------------------------------------------------------------- */
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/* PROLOG END TAG zYx */
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#ifdef __SPU__
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#ifndef _SINHD2_H_
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#define _SINHD2_H_ 1
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#include <spu_intrinsics.h>
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#include "expd2.h"
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#include "recipd2.h"
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/*
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* FUNCTION
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* vector double _sinhd2(vector double angle)
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*
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* DESCRIPTION
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* The _sinhd2 function computes the hyperbolic sine of a vector of
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* angles (expressed in radians) to an accuracy of a double precision
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* floating point.
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*/
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static __inline vector double _sinhd2(vector double x)
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{
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// Coefficents for the power series
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vec_double2 f03 = spu_splats(1.66666666666666666667E-01); // 1/(3!)
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vec_double2 f05 = spu_splats(8.33333333333333333333E-03); // 1/(5!)
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vec_double2 f07 = spu_splats(1.98412698412698412698E-04); // 1/(7!)
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vec_double2 f09 = spu_splats(2.75573192239858906526E-06); // 1/(9!)
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vec_double2 f11 = spu_splats(2.50521083854417187751E-08); // 1/(11!)
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vec_double2 f13 = spu_splats(1.60590438368216145994E-10); // 1/(13!)
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vec_double2 f15 = spu_splats(7.64716373181981647590E-13); // 1/(15!)
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vec_double2 f17 = spu_splats(2.81145725434552076320E-15); // 1/(17!)
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vec_double2 f19 = spu_splats(8.22063524662432971696E-18); // 1/(19!)
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vec_double2 f21 = spu_splats(1.95729410633912612308E-20); // 1/(21!)
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vec_double2 f23 = spu_splats(3.86817017063068403772E-23); // 1/(23!)
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// Check if the input is within the range [ -1.0 ... 1.0 ]
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// If it is, we want to use the power series, otherwise
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// we want to use the 0.5 * (e^x - e^-x)
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// round to float, check if within range. Results will be in
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// slots 0 and 2, so we rotate right 4 bytes, and "or" with ourself
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// to produce 64 bits of all 1's or 0's.
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vec_uint4 use_exp = spu_cmpabsgt(spu_roundtf(x),spu_splats(1.0f));
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use_exp = spu_or(use_exp,spu_rlmaskqwbyte(use_exp,-4));
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// Perform the calculation of the power series using Horner's method
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vec_double2 result;
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vec_double2 x2 = spu_mul(x,x);
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result = spu_madd(x2,f23,f21);
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result = spu_madd(x2,result,f19);
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result = spu_madd(x2,result,f17);
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result = spu_madd(x2,result,f15);
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result = spu_madd(x2,result,f13);
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result = spu_madd(x2,result,f11);
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result = spu_madd(x2,result,f09);
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result = spu_madd(x2,result,f07);
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result = spu_madd(x2,result,f05);
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result = spu_madd(x2,result,f03);
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result = spu_madd(x2,result,spu_splats(1.0));
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result = spu_mul(x,result);
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// Perform calculation as a function of 0.5 * (e^x - e^-x)
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vec_double2 ex = _expd2(x);
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vec_double2 ex_inv = _recipd2(ex);
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vec_double2 r2= spu_sub(ex,ex_inv);
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r2 = spu_mul(r2,spu_splats(0.5));
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// Select either the power series or exp version
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result = spu_sel(result,r2,(vec_ullong2)use_exp);
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return result;
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}
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#endif /* _SINHD2_H_ */
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#endif /* __SPU__ */
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