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Diffstat (limited to 'newlib/libm/machine/spu/headers/asinhd2.h')
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diff --git a/newlib/libm/machine/spu/headers/asinhd2.h b/newlib/libm/machine/spu/headers/asinhd2.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 _ASINHD2_H_
-#define _ASINHD2_H_ 1
-
-#include <spu_intrinsics.h>
-
-#include "logd2.h"
-#include "sqrtd2.h"
-
-/*
- * FUNCTION
- * vector double _asinhd2(vector double x)
- *
- * DESCRIPTION
- * The asinhd2 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
- * asinh(+infinity) returns +infinity
- * asinh(-infinity) returns -infinity
- * asinh(NaN) returns NaN
- *
- */
-
-/*
- * Maclaurin Series Coefficients
- * for x near 0.
- */
-#define SDM_ASINHD2_MAC01 1.000000000000000000000000000000000000000000E0
-#define SDM_ASINHD2_MAC03 -1.666666666666666666666666666666666666666667E-1
-#define SDM_ASINHD2_MAC05 7.500000000000000000000000000000000000000000E-2
-#define SDM_ASINHD2_MAC07 -4.464285714285714285714285714285714285714286E-2
-#define SDM_ASINHD2_MAC09 3.038194444444444444444444444444444444444444E-2
-#define SDM_ASINHD2_MAC11 -2.237215909090909090909090909090909090909091E-2
-#define SDM_ASINHD2_MAC13 1.735276442307692307692307692307692307692308E-2
-#define SDM_ASINHD2_MAC15 -1.396484375000000000000000000000000000000000E-2
-#define SDM_ASINHD2_MAC17 1.155180089613970588235294117647058823529412E-2
-
-
-static __inline vector double _asinhd2(vector double x)
-{
- vec_double2 sign_mask = spu_splats(-0.0);
- vec_double2 oned = spu_splats(1.0);
- vec_uchar16 dup_even = ((vec_uchar16) { 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 });
- vec_uint4 infminus1 = spu_splats(0x7FEFFFFFU);
- vec_uint4 isinfnan;
- vec_double2 xabs, xsqu;
- vec_uint4 xabshigh;
- vec_float4 switch_approx = spu_splats(0.165f); /* Where we switch from maclaurin to formula */
- vec_uint4 use_form;
- vec_float4 xf;
- vec_double2 result, fresult, mresult;
-
-
- xabs = spu_andc(x, sign_mask);
- xsqu = spu_mul(x, x);
-
- xf = spu_roundtf(xabs);
- xf = spu_shuffle(xf, xf, dup_even);
-
- /*
- * Formula:
- * asinh = ln(|x| + sqrt(x^2 + 1))
- */
- fresult = _sqrtd2(spu_add(xsqu, oned));
- fresult = spu_add(xabs, fresult);
- fresult = _logd2(fresult);
-
-
- /*
- * Maclaurin Series approximation
- */
-
- mresult = spu_splats(SDM_ASINHD2_MAC17);
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC15));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC13));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC11));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC09));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC07));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC05));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC03));
- mresult = spu_madd(xsqu, mresult, spu_splats(SDM_ASINHD2_MAC01));
- mresult = spu_mul(xabs, mresult);
-
-
- /*
- * Choose between series and formula
- */
- use_form = spu_cmpgt(xf, switch_approx);
- result = spu_sel(mresult, fresult, (vec_ullong2)use_form);
-
-
- /* Special Cases */
-
- /* Infinity and NaN */
- xabshigh = (vec_uint4)spu_shuffle(xabs, xabs, dup_even);
- isinfnan = spu_cmpgt(xabshigh, infminus1);
- result = spu_sel(result, x, (vec_ullong2)isinfnan);
-
-
- /* Restore sign - asinh is an anti-symmetric */
- result = spu_sel(result, x, (vec_ullong2)sign_mask);
-
- return result;
-}
-
-#endif /* _ASINHD2_H_ */
-#endif /* __SPU__ */