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/* -------------------------------------------------------------- */ /* (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 _TANHF4_H_ #define _TANHF4_H_ 1 #include <spu_intrinsics.h> #include "expf4.h" #include "divf4.h" #include "tanhd2.h" /* * FUNCTION * vector float _tanhf4(vector float x) * * DESCRIPTION * The _tanhf4 function computes the hyperbolic tangent for each * element of the input vector. * * We use the following to approximate tanh: * * |x| <= .25: Taylor Series * |x| > .25: tanh(x) = (exp(2x) - 1)/(exp(2x) + 1) * * * SPECIAL CASES: * - tanh(+/- 0) = +/-0 * - tanh(+/- infinity) = +/- 1 * */ static __inline vector float _tanhf4(vector float x) { vector float signbit = spu_splats(-0.0f); vector float onef = spu_splats(1.0f); vector float twof = spu_splats(2.0f); vector float xabs; vector float x2; vector unsigned int gttaylor; vector float e; vector float tresult; vector float eresult; vector float result; xabs = spu_andc(x, signbit); /* * This is where we switch from Taylor Series * to exponential formula. */ gttaylor = spu_cmpgt(xabs, spu_splats(0.25f)); /* * Taylor Series Approximation */ x2 = spu_mul(x,x); tresult = spu_madd(x2, spu_splats((float)TANH_TAY06), spu_splats((float)TANH_TAY05)); tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY04)); tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY03)); tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY02)); tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY01)); tresult = spu_mul(xabs, tresult); /* * Exponential Formula * Our expf4 function gives a more accurate result in general * with xabs instead of x for x<0. We correct for sign later. */ e = _expf4(spu_mul(xabs, twof)); eresult = _divf4(spu_sub(e, onef), spu_add(e, onef)); /* * Select Taylor or exp result. */ result = spu_sel(tresult, eresult, gttaylor); /* * Correct for accumulated truncation error when * tanh(x) should return 1. * Note that this also handles the special case of * x = +/- infinity. */ result = spu_sel(result, onef, spu_cmpgt(xabs, spu_splats(9.125f))); /* * Antisymmetric function - preserve sign bit of x * in the result. */ result = spu_sel(result, x, (vec_uint4)signbit); return result; } #endif /* _TANHF4_H_ */ #endif /* __SPU__ */