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| /* 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__ */ |
