mirror of
https://github.com/autc04/Retro68.git
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147 lines
5.7 KiB
C
147 lines
5.7 KiB
C
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/* -------------------------------------------------------------- */
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/* (C)Copyright 2007,2008, */
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/* International Business Machines Corporation */
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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 _ATANHF4_H_
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#define _ATANHF4_H_ 1
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#include <spu_intrinsics.h>
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#include <math.h>
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#include "logf4.h"
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/*
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* FUNCTION
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* vector float _atanhf4(vector float x)
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*
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* DESCRIPTION
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* The atanhf4 function returns a vector containing the hyperbolic
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* arctangents of the corresponding elements of the input vector.
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*
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* We are using the formula:
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* atanh x = 1/2 * ln((1 + x)/(1 - x)) = 1/2 * [ln(1+x) - ln(1-x)]
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* and the anti-symmetry of atanh.
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*
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* For x near 0, we use the Taylor series:
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* atanh x = x + x^3/3 + x^5/5 + x^7/7 + x^9/9 + ...
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*
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* Special Cases:
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* - atanh(1) = HUGE_VALF
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* - atanh(-1) = -HUGE_VALF
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* - The result is undefined for x outside of the domain [-1,1].
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*
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*/
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/*
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* Maclaurin Series Coefficients
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* for x near 0.
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*/
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#define SDM_SP_ATANH_MAC01 1.000000000000000000000000000000E0
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#define SDM_SP_ATANH_MAC03 3.333333333333333333333333333333E-1
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#define SDM_SP_ATANH_MAC05 2.000000000000000000000000000000E-1
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#define SDM_SP_ATANH_MAC07 1.428571428571428571428571428571E-1
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#if 0
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#define SDM_SP_ATANH_MAC09 1.111111111111111111111111111111E-1
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#define SDM_SP_ATANH_MAC11 9.090909090909090909090909090909E-2
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#define SDM_SP_ATANH_MAC13 7.692307692307692307692307692308E-2
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#define SDM_SP_ATANH_MAC15 6.666666666666666666666666666667E-2
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#endif
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static __inline vector float _atanhf4(vector float x)
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{
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vec_uint4 one = spu_splats(1u);
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vec_float4 sign_mask = spu_splats(-0.0f);
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vec_float4 onef = spu_splats(1.0f);
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vec_float4 onehalff = spu_splats(0.5f);
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vec_float4 huge = spu_splats(HUGE_VALF);
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vec_float4 result, fresult, mresult;;
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vec_float4 xabs, xsqu;
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/* Where we switch from maclaurin to formula */
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vec_float4 switch_approx = spu_splats(0.165f);
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vec_uint4 use_form;
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xabs = spu_andc(x, sign_mask);
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xsqu = spu_mul(x, x);
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/*
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* Formula:
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* atanh = 1/2 * ln((1 + x)/(1 - x)) = 1/2 * [ln(1+x) - ln(1-x)]
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*/
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fresult = spu_sub(_logf4(spu_add(onef, xabs)), _logf4(spu_sub(onef, xabs)));
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fresult = spu_mul(fresult, onehalff);
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/*
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* Taylor Series
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*/
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mresult = spu_madd(xsqu, spu_splats((float)SDM_SP_ATANH_MAC07), spu_splats((float)SDM_SP_ATANH_MAC05));
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mresult = spu_madd(xsqu, mresult, spu_splats((float)SDM_SP_ATANH_MAC03));
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mresult = spu_madd(xsqu, mresult, spu_splats((float)SDM_SP_ATANH_MAC01));
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mresult = spu_mul(xabs, mresult);
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/*
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* Choose between series and formula
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*/
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use_form = spu_cmpgt(xabs, switch_approx);
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result = spu_sel(mresult, fresult, use_form);
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/*
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* Correct for accumulated truncation error. Currently reduces rms of
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* absolute error by about 50%
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*/
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result = (vec_float4)spu_add((vec_uint4)result, spu_and(one, spu_cmpgt(xabs, spu_splats(0.0f))));
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result = (vec_float4)spu_add((vec_uint4)result, spu_and(one, spu_cmpgt(xabs, spu_splats(0.25f))));
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/*
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* Check Boundary Conditions
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*/
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result = spu_sel(result, huge, spu_cmpeq(xabs, onef));
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/*
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* Spec says |x| > 1, result is undefined, so no additional
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* boundary checks needed.
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*/
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/* Preserve sign - atanh is anti-symmetric */
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result = spu_sel(result, x, (vec_uint4)sign_mask);
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return result;
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}
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#endif /* _ATANHF4_H_ */
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#endif /* __SPU__ */
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