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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 _COSHD2_H_ #define _COSHD2_H_ 1 #include <spu_intrinsics.h> #include "expd2.h" #include "recipd2.h" /* * FUNCTION * vector float _coshd2(vector double angle) * * DESCRIPTION * _coshd2 computes the hyperbolic cosines of a vector of angles * (expressed in radians) to an accuracy of a double precision * floating point. */ static __inline vector double _coshd2(vector double x) { // Coefficents for the power series vec_double2 f02 = spu_splats(5.00000000000000000000E-1); // 1/(2!) vec_double2 f04 = spu_splats(4.16666666666666666667E-2); // 1/(4!) vec_double2 f06 = spu_splats(1.38888888888888888889E-3); // 1/(6!) vec_double2 f08 = spu_splats(2.48015873015873015873E-5); // 1/(8!) vec_double2 f10 = spu_splats(2.75573192239858906526E-7); // 1/(10!) vec_double2 f12 = spu_splats(2.08767569878680989792E-9); // 1/(12!) vec_double2 f14 = spu_splats(1.14707455977297247139E-11); // 1/(14!) vec_double2 f16 = spu_splats(4.77947733238738529744E-14); // 1/(16!) vec_double2 f18 = spu_splats(1.56192069685862264622E-16); // 1/(18!) vec_double2 f20 = spu_splats(4.11031762331216485848E-19); // 1/(20!) vec_double2 f22 = spu_splats(8.89679139245057328675E-22); // 1/(22!) // 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,f22,f20); result = spu_madd(x2,result,f18); result = spu_madd(x2,result,f16); result = spu_madd(x2,result,f14); result = spu_madd(x2,result,f12); result = spu_madd(x2,result,f10); result = spu_madd(x2,result,f08); result = spu_madd(x2,result,f06); result = spu_madd(x2,result,f04); result = spu_madd(x2,result,f02); result = spu_madd(x2,result,spu_splats(1.0)); // 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_add(ex,ex_inv); r2 = spu_mul(r2,f02); // we can reuse f02 here // Select either the power series or exp version result = spu_sel(result,r2,(vec_ullong2)use_exp); return result; } #endif /* _COSHD2_H_ */ #endif /* __SPU__ */