/* -------------------------------------------------------------- */ /* (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 #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__ */