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Diffstat (limited to 'newlib/libm/machine/spu/headers/tanhd2.h')
-rw-r--r--newlib/libm/machine/spu/headers/tanhd2.h161
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diff --git a/newlib/libm/machine/spu/headers/tanhd2.h b/newlib/libm/machine/spu/headers/tanhd2.h
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-/* -------------------------------------------------------------- */
-/* (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 _TANHD2_H_
-#define _TANHD2_H_ 1
-
-#include <spu_intrinsics.h>
-
-#include "expd2.h"
-#include "divd2.h"
-
-
-/*
- * Taylor coefficients for tanh
- */
-#define TANH_TAY01 1.000000000000000000000000000000E0
-#define TANH_TAY02 -3.333333333333333333333333333333E-1
-#define TANH_TAY03 1.333333333333333333333333333333E-1
-#define TANH_TAY04 -5.396825396825396825396825396825E-2
-#define TANH_TAY05 2.186948853615520282186948853616E-2
-#define TANH_TAY06 -8.863235529902196568863235529902E-3
-#define TANH_TAY07 3.592128036572481016925461369906E-3
-#define TANH_TAY08 -1.455834387051318268249485180702E-3
-#define TANH_TAY09 5.900274409455859813780759937000E-4
-#define TANH_TAY10 -2.391291142435524814857314588851E-4
-#define TANH_TAY11 9.691537956929450325595875000389E-5
-#define TANH_TAY12 -3.927832388331683405337080809312E-5
-#define TANH_TAY13 1.591890506932896474074427981657E-5
-#define TANH_TAY14 -6.451689215655430763190842315303E-6
-#define TANH_TAY15 2.614771151290754554263594256410E-6
-#define TANH_TAY16 -1.059726832010465435091355394125E-6
-#define TANH_TAY17 4.294911078273805854820351280397E-7
-
-
-/*
- * FUNCTION
- * vector double _tanhd2(vector double x)
- *
- * DESCRIPTION
- * The _tanhd2 function computes the hyperbolic tangent for each
- * element of the input vector.
- *
- * We use the following to approximate tanh:
- *
- * |x| <= .25: Taylor Series
- * |x| > .25: tanh(x) = (exp(2x) - 1)/(exp(2x) + 1)
- *
- *
- * SPECIAL CASES:
- * - tanh(+/- 0) = +/-0
- * - tanh(+/- infinity) = +/- 1
- * - tanh(NaN) = NaN
- *
- */
-
-static __inline vector double _tanhd2(vector double x)
-{
- vector double signbit = spu_splats(-0.0);
- vector double oned = spu_splats(1.0);
- vector double twod = spu_splats(2.0);
- vector double infd = (vector double)spu_splats(0x7FF0000000000000ull);
- vector double xabs;
- vector double x2;
- vector unsigned long long gttaylor;
- vector double e;
- vector double tresult;
- vector double eresult;
- vector double result;
-
- xabs = spu_andc(x, signbit);
-
- /*
- * This is where we switch from Taylor Series
- * to exponential formula.
- */
- gttaylor = spu_cmpgt(xabs, spu_splats(0.25));
-
-
- /*
- * Taylor Series Approximation
- */
- x2 = spu_mul(x,x);
- tresult = spu_madd(x2, spu_splats(TANH_TAY11), spu_splats(TANH_TAY10));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY09));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY08));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY07));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY06));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY05));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY04));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY03));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY02));
- tresult = spu_madd(x2, tresult, spu_splats(TANH_TAY01));
- tresult = spu_mul(xabs, tresult);
-
-
- /*
- * Exponential Formula
- * Our expd2 function gives a more accurate result in general
- * with xabs instead of x for x<0. We correct for sign later.
- */
- e = _expd2(spu_mul(xabs, twod));
- eresult = _divd2(spu_sub(e, oned), spu_add(e, oned));
-
-
- /*
- * Select Taylor or exp result.
- */
- result = spu_sel(tresult, eresult, gttaylor);
-
- /*
- * Inf and NaN special cases. NaN is already in result
- * for x = NaN.
- */
- result = spu_sel(result, oned, spu_cmpeq(xabs, infd));
-
- /*
- * Antisymmetric function - preserve sign bit of x
- * in the result.
- */
- result = spu_sel(result, x, (vec_ullong2)signbit);
-
- return result;
-}
-
-#endif /* _TANHD2_H_ */
-#endif /* __SPU__ */