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[/] [openrisc/] [trunk/] [gnu-src/] [newlib-1.17.0/] [newlib/] [libm/] [machine/] [spu/] [headers/] [tanhf4.h] - Blame information for rev 148

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1 148 jeremybenn
/* --------------------------------------------------------------  */
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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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/* 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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/* 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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/* 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 _TANHF4_H_
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#define _TANHF4_H_      1
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#include <spu_intrinsics.h>
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#include "expf4.h"
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#include "divf4.h"
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#include "tanhd2.h"
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/*
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 * FUNCTION
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 *  vector float _tanhf4(vector float x)
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 *
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 * DESCRIPTION
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 *      The _tanhf4 function computes the hyperbolic tangent for each
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 *      element of the input vector.
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 *
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 *      We use the following to approximate tanh:
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 *
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 *      |x| <= .25:   Taylor Series
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 *      |x| >  .25:   tanh(x) = (exp(2x) - 1)/(exp(2x) + 1)
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 *
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 *
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 * SPECIAL CASES:
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 *  - tanh(+/- 0) = +/-0
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 *  - tanh(+/- infinity) = +/- 1
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 *
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 */
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static __inline vector float _tanhf4(vector float x)
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{
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    vector float signbit = spu_splats(-0.0f);
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    vector float onef    = spu_splats(1.0f);
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    vector float twof    = spu_splats(2.0f);
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    vector float xabs;
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    vector float x2;
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    vector unsigned int gttaylor;
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    vector float e;
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    vector float tresult;
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    vector float eresult;
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    vector float result;
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    xabs = spu_andc(x, signbit);
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    /*
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     * This is where we switch from Taylor Series
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     * to exponential formula.
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     */
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    gttaylor = spu_cmpgt(xabs, spu_splats(0.25f));
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    /*
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     * Taylor Series Approximation
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     */
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    x2 = spu_mul(x,x);
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    tresult = spu_madd(x2, spu_splats((float)TANH_TAY06), spu_splats((float)TANH_TAY05));
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    tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY04));
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    tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY03));
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    tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY02));
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    tresult = spu_madd(x2, tresult, spu_splats((float)TANH_TAY01));
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    tresult = spu_mul(xabs, tresult);
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    /*
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     * Exponential Formula
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     * Our expf4 function gives a more accurate result in general
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     * with xabs instead of x for x<0. We correct for sign later.
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     */
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    e = _expf4(spu_mul(xabs, twof));
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    eresult = _divf4(spu_sub(e, onef), spu_add(e, onef));
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    /*
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     * Select Taylor or exp result.
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     */
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    result = spu_sel(tresult, eresult, gttaylor);
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    /*
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     * Correct for accumulated truncation error when
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     * tanh(x) should return 1.
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     * Note that this also handles the special case of
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     * x = +/- infinity.
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     */
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    result = spu_sel(result, onef, spu_cmpgt(xabs, spu_splats(9.125f)));
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    /*
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     * Antisymmetric function - preserve sign bit of x
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     * in the result.
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     */
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    result = spu_sel(result, x, (vec_uint4)signbit);
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    return result;
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}
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#endif /* _TANHF4_H_ */
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#endif /* __SPU__ */

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