/* -------------------------------------------------------------- */ /* (C)Copyright 2006,2007, */ /* 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. */ /* 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 _ERFF4_H_ #define _ERFF4_H_ 1 #include #include "expf4.h" #include "recipf4.h" #include "divf4.h" #include "erf_utils.h" /* * FUNCTION * vector float _erff4(vector float x) * * DESCRIPTION * The erff4 function computes the error function of each element of x. * * C99 Special Cases: * - erf(+0) returns +0 * - erf(-0) returns -0 * - erf(+infinite) returns +1 * - erf(-infinite) returns -1 * */ static __inline vector float _erff4(vector float x) { vector float onehalff = spu_splats(0.5f); vector float zerof = spu_splats(0.0f); vector float onef = spu_splats(1.0f); vector float sign_mask = spu_splats(-0.0f); /* This is where we switch from Taylor Series to Continued Fraction approximation */ vec_float4 approx_point = spu_splats(0.89f); vec_float4 xabs, xsqu, xsign; vec_uint4 isinf; vec_float4 tresult, presult, result; xsign = spu_and(x, sign_mask); /* Force Denorms to 0 */ x = spu_add(x, zerof); xabs = spu_andc(x, sign_mask); xsqu = spu_mul(x, x); /* * Taylor Series Expansion near Zero */ TAYLOR_ERFF4(xabs, xsqu, tresult); /* * Continued Fraction Approximation of Erfc(). * erf = 1 - erfc */ CONTFRAC_ERFCF4(xabs, xsqu, presult); presult = spu_sub(onef, presult); /* * Select the appropriate approximation. */ result = spu_sel(tresult, presult, spu_cmpgt(xabs, approx_point)); /* * Special cases/errors. */ /* x = +/- infinite, return +/-1 */ isinf = spu_cmpeq((vec_uint4)xabs, 0x7F800000); result = spu_sel(result, onef, isinf); /* * Preserve sign in result, since erf(-x) = -erf(x) */ result = spu_or(result, xsign); return result; } #endif /* _ERFF4_H_ */ #endif /* __SPU__ */