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Diffstat (limited to 'newlib/libm/machine/spu/headers/asinhf4.h')
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diff --git a/newlib/libm/machine/spu/headers/asinhf4.h b/newlib/libm/machine/spu/headers/asinhf4.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 _ASINHF4_H_
-#define _ASINHF4_H_ 1
-
-#include <spu_intrinsics.h>
-
-#include "logf4.h"
-#include "sqrtf4.h"
-
-/*
- * FUNCTION
- * vector float _asinhf4(vector float x)
- *
- * DESCRIPTION
- * The asinhf4 function returns a vector containing the hyperbolic
- * arcsines of the corresponding elements of the input vector.
- *
- * We are using the formula:
- * asinh = ln(|x| + sqrt(x^2 + 1))
- * and the anti-symmetry of asinh.
- *
- * For x near zero, we use the Taylor series:
- *
- * infinity
- * ------
- * - ' P (0)
- * - k-1 k
- * asinh x = - ----- x
- * - k
- * - ,
- * ------
- * k = 1
- *
- * Special Cases:
- * - asinh(+0) returns +0
- * - asinh(-0) returns -0
- * - Normally, asinh(+/- infinity) returns +/- infinity,
- * but on the SPU, single-precision infinity is not supported,
- * so it is treated as a normal number here.
- *
- */
-
-/*
- * Maclaurin Series Coefficients
- * for x near 0.
- */
-#define ASINH_MAC01 1.0000000000000000000000000000000000000000000000000000000000000000000000E0
-#define ASINH_MAC03 -1.6666666666666666666666666666666666666666666666666666666666666666666667E-1
-#define ASINH_MAC05 7.5000000000000000000000000000000000000000000000000000000000000000000000E-2
-#define ASINH_MAC07 -4.4642857142857142857142857142857142857142857142857142857142857142857143E-2
-#define ASINH_MAC09 3.0381944444444444444444444444444444444444444444444444444444444444444444E-2
-#define ASINH_MAC11 -2.2372159090909090909090909090909090909090909090909090909090909090909091E-2
-#define ASINH_MAC13 1.7352764423076923076923076923076923076923076923076923076923076923076923E-2
-#define ASINH_MAC15 -1.3964843750000000000000000000000000000000000000000000000000000000000000E-2
-#define ASINH_MAC17 1.1551800896139705882352941176470588235294117647058823529411764705882353E-2
-#define ASINH_MAC19 -9.7616095291940789473684210526315789473684210526315789473684210526315789E-3
-#define ASINH_MAC21 8.3903358096168154761904761904761904761904761904761904761904761904761905E-3
-#define ASINH_MAC23 -7.3125258735988451086956521739130434782608695652173913043478260869565217E-3
-#define ASINH_MAC25 6.4472103118896484375000000000000000000000000000000000000000000000000000E-3
-#define ASINH_MAC27 -5.7400376708419234664351851851851851851851851851851851851851851851851852E-3
-#define ASINH_MAC29 5.1533096823199041958512931034482758620689655172413793103448275862068966E-3
-#define ASINH_MAC31 -4.6601434869150961599042338709677419354838709677419354838709677419354839E-3
-#if 0
-#define ASINH_MAC33 4.2409070936793630773370916193181818181818181818181818181818181818181818E-3
-#define ASINH_MAC35 -3.8809645588376692363194056919642857142857142857142857142857142857142857E-3
-#define ASINH_MAC37 3.5692053938259345454138678473395270270270270270270270270270270270270270E-3
-#define ASINH_MAC39 -3.2970595034734847453924325796274038461538461538461538461538461538461538E-3
-#define ASINH_MAC41 3.0578216492580306693548109473251714939024390243902439024390243902439024E-3
-#define ASINH_MAC43 -2.8461784011089421678767647854117460029069767441860465116279069767441860E-3
-#endif
-
-
-static __inline vector float _asinhf4(vector float x)
-{
- vec_float4 sign_mask = spu_splats(-0.0f);
- vec_float4 onef = spu_splats(1.0f);
- vec_uint4 oneu = spu_splats(1u);
- vec_uint4 twou = spu_splats(2u);
- vec_uint4 threeu = spu_splats(3u);
- vec_float4 ln2 = spu_splats(6.931471805599453094172321E-1f);
- vec_float4 largef = spu_splats(9.21e18f);
- vec_float4 result, fresult, mresult;
- vec_float4 xabs, xsqu;
- /* Where we switch from maclaurin to formula */
- vec_float4 switch_approx = spu_splats(0.74f);
- vec_float4 trunc_part2 = spu_splats(20.0f);
- vec_uint4 truncadd;
- vec_uint4 islarge;
- vec_uint4 use_form;
-
- xabs = spu_andc(x, sign_mask);
- xsqu = spu_mul(x, x);
- islarge = spu_cmpgt(xabs, largef);
-
- /*
- * Formula:
- * asinh = ln(|x| + sqrt(x^2 + 1))
- */
-
- vec_float4 logarg = spu_add(xabs, _sqrtf4(spu_madd(xabs, xabs, onef)));
- logarg = spu_sel(logarg, xabs, islarge);
- fresult = _logf4(logarg);
- fresult = spu_sel(fresult, spu_add(fresult, ln2), islarge);
-
- /*
- * Maclaurin Series
- */
- mresult = spu_madd(xsqu, spu_splats((float)ASINH_MAC31), spu_splats((float)ASINH_MAC29));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC27));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC25));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC23));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC21));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC19));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC17));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC15));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC13));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC11));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC09));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC07));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC05));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC03));
- mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC01));
- mresult = spu_mul(xabs, mresult);
-
- /*
- * Choose between series and formula
- */
- use_form = spu_cmpgt(xabs, switch_approx);
- result = spu_sel(mresult, fresult, use_form);
-
- /*
- * Truncation correction on spu
- */
- truncadd = spu_sel(oneu, threeu, use_form);
- truncadd = spu_sel(truncadd, twou, spu_cmpgt(xabs, trunc_part2));
- result = (vec_float4)spu_add((vec_uint4)result, truncadd);
-
- /* Preserve sign - asinh is anti-symmetric */
- result = spu_sel(result, x, (vec_uint4)sign_mask);
-
- return result;
-}
-
-#endif /* _ASINHF4_H_ */
-#endif /* __SPU__ */