128 lines
5.9 KiB
C
128 lines
5.9 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 _COSHD2_H_
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#define _COSHD2_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 float _coshd2(vector double angle)
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*
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* DESCRIPTION
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* _coshd2 computes the hyperbolic cosines of a vector of angles
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* (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 _coshd2(vector double x)
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{
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// Coefficents for the power series
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vec_double2 f02 = spu_splats(5.00000000000000000000E-1); // 1/(2!)
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vec_double2 f04 = spu_splats(4.16666666666666666667E-2); // 1/(4!)
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vec_double2 f06 = spu_splats(1.38888888888888888889E-3); // 1/(6!)
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vec_double2 f08 = spu_splats(2.48015873015873015873E-5); // 1/(8!)
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vec_double2 f10 = spu_splats(2.75573192239858906526E-7); // 1/(10!)
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vec_double2 f12 = spu_splats(2.08767569878680989792E-9); // 1/(12!)
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vec_double2 f14 = spu_splats(1.14707455977297247139E-11); // 1/(14!)
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vec_double2 f16 = spu_splats(4.77947733238738529744E-14); // 1/(16!)
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vec_double2 f18 = spu_splats(1.56192069685862264622E-16); // 1/(18!)
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vec_double2 f20 = spu_splats(4.11031762331216485848E-19); // 1/(20!)
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vec_double2 f22 = spu_splats(8.89679139245057328675E-22); // 1/(22!)
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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,f22,f20);
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result = spu_madd(x2,result,f18);
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result = spu_madd(x2,result,f16);
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result = spu_madd(x2,result,f14);
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result = spu_madd(x2,result,f12);
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result = spu_madd(x2,result,f10);
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result = spu_madd(x2,result,f08);
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result = spu_madd(x2,result,f06);
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result = spu_madd(x2,result,f04);
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result = spu_madd(x2,result,f02);
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result = spu_madd(x2,result,spu_splats(1.0));
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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_add(ex,ex_inv);
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r2 = spu_mul(r2,f02); // we can reuse f02 here
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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 /* _COSHD2_H_ */
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#endif /* __SPU__ */
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