📄 log1pd2.h
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/* -------------------------------------------------------------- *//* (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 _LOG1PD2_H_#define _LOG1PD2_H_ 1#include <spu_intrinsics.h>#include "simdmath.h"#include "logd2.h"#include "divd2.h"#define LOG1PD2_P0 0.0000000000000000000000000e+00#define LOG1PD2_P1 1.0000000000000000000000000e+00#define LOG1PD2_P2 2.3771612265431403265836252e+00#define LOG1PD2_P3 2.0034423569559494104908026e+00#define LOG1PD2_P4 7.1309327316770110272159400e-01#define LOG1PD2_P5 9.8219761968547217301228613e-02#define LOG1PD2_P6 3.4385125174546914139650511e-03#define LOG1PD2_Q0 1.0000000000000000000000000e+00#define LOG1PD2_Q1 2.8771612265431403265836252e+00#define LOG1PD2_Q2 3.1086896368941925317130881e+00#define LOG1PD2_Q3 1.5583843494335058998956356e+00#define LOG1PD2_Q4 3.6047236436186669283898709e-01#define LOG1PD2_Q5 3.2620075387969869884496887e-02#define LOG1PD2_Q6 6.8047193336239690346356479e-04/* * FUNCTION * vector double _log1pd2(vector double x) * * DESCRIPTION * The function _log1pd2 computes the natural logarithm of x + 1 * for each of the double word elements of x. * */static __inline vector double _log1pd2(vector double x) { vector double oned = spu_splats(1.0); vector double rangehi = spu_splats(0.35); vector double rangelo = spu_splats(0.0); vector unsigned long long use_log; vector double pr, qr; vector double eresult; vector double rresult; vector double result; /* Compiler Bug. Replace xbug with x when spu_cmp*() doesn't * modify it's arguments! */ volatile vector double xbug = x; use_log = spu_or(spu_cmpgt(xbug, rangehi), spu_cmpgt(rangelo, xbug)); /* * Calculate directly using log(x+1) */ eresult = _logd2(spu_add(x, oned)); /* * For x in [0.0,0.35], use a rational approximation. */ pr = spu_madd(x, spu_splats(LOG1PD2_P6), spu_splats(LOG1PD2_P5)); qr = spu_madd(x, spu_splats(LOG1PD2_Q6), spu_splats(LOG1PD2_Q5)); pr = spu_madd(pr, x, spu_splats(LOG1PD2_P4)); qr = spu_madd(qr, x, spu_splats(LOG1PD2_Q4)); pr = spu_madd(pr, x, spu_splats(LOG1PD2_P3)); qr = spu_madd(qr, x, spu_splats(LOG1PD2_Q3)); pr = spu_madd(pr, x, spu_splats(LOG1PD2_P2)); qr = spu_madd(qr, x, spu_splats(LOG1PD2_Q2)); pr = spu_madd(pr, x, spu_splats(LOG1PD2_P1)); qr = spu_madd(qr, x, spu_splats(LOG1PD2_Q1)); pr = spu_madd(pr, x, spu_splats(LOG1PD2_P0)); qr = spu_madd(qr, x, spu_splats(LOG1PD2_Q0)); rresult = _divd2(pr, qr); /* * Select either direct calculation or rational approximation. */ result = spu_sel(rresult, eresult, use_log); return result;}#endif /* _LOG1PD2_H_ */#endif /* __SPU__ */
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