/* -------------------------------------------------------------- */ /* (C)Copyright 2007,2008, */ /* 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 _ATAND2_H_ #define _ATAND2_H_ 1 #include #include "simdmath.h" #include "recipd2.h" #include "logd2.h" #include "acosd2.h" #include "asind2.h" #include "sqrtd2.h" /* * FUNCTION * vector double _atand2(vector double x) * * DESCRIPTION * The _atand2 function computes the arc tangent of a vector of values x. * * The arc tangent function is computed using the following relations: * [0, 1] : arcsin(x1/sqrt(spu_add(x1squ + 1 ))); * (1, infinity] : PI/2 + atanf(-1/x) * [-infinity, 0) : -arcsin(|x|) * */ static __inline vector double _atand2(vector double x) { vector double signbit = spu_splats(-0.0); vector double oned = spu_splats(1.0); vector double pi2 = spu_splats(SM_PI_2); vector double xabs, x1; vector double result; vector unsigned long long gt1; xabs = spu_andc(x, signbit); gt1 = spu_cmpgt(xabs, oned); /* * For x > 1, use the relation: * atan(x) = pi/2 - atan(1/x), x>1 */ x1 = spu_sel(xabs, _recipd2(xabs), gt1); vector double x1squ = spu_mul(x1, x1); result = _asind2(_divd2(x1, _sqrtd2(spu_add(x1squ, oned)))); /* * For x > 1, use the relation: atan(x) = pi/2 - atan(1/x), x>1 */ result = spu_sel(result, spu_sub(pi2, result), gt1); /* * Antisymmetric function - preserve sign of x in result. */ result = spu_sel(result, x, (vec_ullong2)signbit); return (result); } #endif /* _ATAND2_H_ */ #endif /* __SPU__ */