/* -------------------------------------------------------------- */ /* (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 _ERFCF4_H_ #define _ERFCF4_H_ 1 #include #include "expf4.h" #include "recipf4.h" #include "divf4.h" #include "erf_utils.h" /* * FUNCTION * vector float _erfcf4(vector float x) * * DESCRIPTION * The erfcf4 function computes the complement error function of each element of x. * * C99 Special Cases: * - erfc(+0) returns +1 * - erfc(-0) returns +1 * - erfc(+infinite) returns +0 * - erfc(-infinite) returns +2 * */ static __inline vector float _erfcf4(vector float x) { vec_float4 onehalff = spu_splats(0.5f); vec_float4 zerof = spu_splats(0.0f); vec_float4 onef = spu_splats(1.0f); vec_float4 twof = spu_splats(2.0f); vec_float4 sign_mask = spu_splats(-0.0f); /* This is where we switch from near zero approx. */ vec_float4 approx_point = spu_splats(0.89f); vec_float4 xabs, xsqu, xsign; vec_uint4 isneg; 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); /* * Use Taylor Series for x near 0 * Preserve sign of x in result, since erf(-x) = -erf(x) * This approximation is for erf, so adjust for erfc. */ TAYLOR_ERFF4(xabs, xsqu, tresult); tresult = spu_or(tresult, xsign); tresult = spu_sub(onef, tresult); /* * Now, use the Continued Fractions approximation away * from 0. If x < 0, use erfc(-x) = 2 - erfc(x) */ CONTFRAC_ERFCF4(xabs, xsqu, presult); isneg = spu_rlmaska((vec_uint4)x, -32); presult = spu_sel(presult, spu_sub(twof, presult), isneg); /* * Select the appropriate approximation. */ result = spu_sel(tresult, presult, spu_cmpgt(xabs, approx_point)); /* * Special cases/errors. */ /* x = +/- infinite */ result = spu_sel(result, zerof, spu_cmpeq((vec_uint4)xabs, 0x7F800000)); result = spu_sel(result, twof, spu_cmpeq((vec_uint4)xabs, 0xFF800000)); return result; } #endif /* _ERFCF4_H_ */ #endif /* __SPU__ */