2007-09-29 02:44:24 +08:00
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/* -------------------------------------------------------------- */
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2008-09-05 01:50:56 +08:00
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/* (C)Copyright 2001,2008, */
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2007-09-29 02:44:24 +08:00
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/* International Business Machines Corporation, */
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/* Sony Computer Entertainment, Incorporated, */
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/* Toshiba Corporation, */
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/* */
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/* All Rights Reserved. */
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/* */
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/* Redistribution and use in source and binary forms, with or */
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/* without modification, are permitted provided that the */
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/* following conditions are met: */
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/* */
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/* - Redistributions of source code must retain the above copyright*/
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/* notice, this list of conditions and the following disclaimer. */
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/* */
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/* - Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* - Neither the name of IBM Corporation nor the names of its */
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/* contributors may be used to endorse or promote products */
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/* derived from this software without specific prior written */
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/* permission. */
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/* */
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/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND */
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/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, */
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/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
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/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
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/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR */
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/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */
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/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */
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/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
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/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */
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/* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */
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/* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */
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/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */
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/* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
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/* -------------------------------------------------------------- */
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/* PROLOG END TAG zYx */
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#ifdef __SPU__
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#ifndef _LOG2F4_H_
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#define _LOG2F4_H_ 1
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#include <spu_intrinsics.h>
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/*
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* FUNCTION
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* vector float _log2f4(vector float x)
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*
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* DESCRIPTION
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* The _log2f4 function computes log (base 2) on a vector if inputs
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* values x. The _log2f4 function is approximated as a polynomial of
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* order 8 (C. Hastings, Jr, 1955).
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*
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* __8__
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* \
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* \
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* log2f(1+x) = / Ci*x^i
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* /____
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* i=1
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*
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* for x in the range 0.0 to 1.0
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*
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* C1 = 1.4426898816672
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* C2 = -0.72116591947498
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* C3 = 0.47868480909345
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* C4 = -0.34730547155299
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* C5 = 0.24187369696082
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* C6 = -0.13753123777116
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* C7 = 0.052064690894143
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* C8 = -0.0093104962134977
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*
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* This function assumes that x is a non-zero positive value.
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*
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*/
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static __inline vector float _log2f4(vector float x)
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{
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vector signed int exponent;
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vector float result;
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vector float x2, x4;
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vector float hi, lo;
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/* Extract the exponent from the input X.
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*/
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exponent = (vector signed int)spu_and(spu_rlmask((vector unsigned int)(x), -23), 0xFF);
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exponent = spu_add(exponent, -127);
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/* Compute the remainder after removing the exponent.
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*/
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x = (vector float)spu_sub((vector signed int)(x), spu_sl(exponent, 23));
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/* Calculate the log2 of the remainder using the polynomial
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* approximation.
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*/
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x = spu_sub(x, spu_splats(1.0f));
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/* Instruction counts can be reduced if the polynomial was
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* computed entirely from nested (dependent) fma's. However,
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* to reduce the number of pipeline stalls, the polygon is evaluated
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* in two halves (hi amd lo).
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*/
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x2 = spu_mul(x, x);
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x4 = spu_mul(x2, x2);
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hi = spu_madd(x, spu_splats(-0.0093104962134977f), spu_splats(0.052064690894143f));
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hi = spu_madd(x, hi, spu_splats(-0.13753123777116f));
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hi = spu_madd(x, hi, spu_splats( 0.24187369696082f));
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hi = spu_madd(x, hi, spu_splats(-0.34730547155299f));
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lo = spu_madd(x, spu_splats(0.47868480909345f), spu_splats(-0.72116591947498f));
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lo = spu_madd(x, lo, spu_splats(1.4426898816672f));
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lo = spu_mul(x, lo);
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result = spu_madd(x4, hi, lo);
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/* Add the exponent back into the result.
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*/
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result = spu_add(result, spu_convtf(exponent, 0));
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return (result);
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}
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#endif /* _LOG2F4_H_ */
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#endif /* __SPU__ */
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