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Diffstat (limited to 'newlib/libm/machine/spu/headers/acoshd2.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/acoshd2.h | 159 |
1 files changed, 0 insertions, 159 deletions
diff --git a/newlib/libm/machine/spu/headers/acoshd2.h b/newlib/libm/machine/spu/headers/acoshd2.h deleted file mode 100644 index a60eaccb6..000000000 --- a/newlib/libm/machine/spu/headers/acoshd2.h +++ /dev/null @@ -1,159 +0,0 @@ -/* -------------------------------------------------------------- */ -/* (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 _ACOSHD2_H_ -#define _ACOSHD2_H_ 1 - -#include <spu_intrinsics.h> -#include "logd2.h" -#include "sqrtd2.h" - -/* - * FUNCTION - * vector double _acoshd2(vector double x) - * - * DESCRIPTION - * The acoshd2 function returns a vector containing the hyperbolic - * arccosines of the corresponding elements of the input vector. - * - * We are using the formula: - * acosh = ln(x + sqrt(x^2 - 1)) - * - * For x near one, we use the Taylor series: - * - * infinity - * ------ - * - ' - * - k - * acosh x = - C (x - 1) - * - k - * - , - * ------ - * k = 0 - * - * - * Special Cases: - * - acosh(1) = +0 - * - acosh(NaN) = NaN - * - acosh(Infinity) = Infinity - * - acosh(x < 1) = NaN - * - */ - -/* - * Taylor Series Coefficients - * for x around 1. - */ -#define SDM_ACOSHD2_TAY01 1.000000000000000000000000000000000E0 /* 1 / 1 */ -#define SDM_ACOSHD2_TAY02 -8.333333333333333333333333333333333E-2 /* 1 / 12 */ -#define SDM_ACOSHD2_TAY03 1.875000000000000000000000000000000E-2 /* 3 / 160 */ -#define SDM_ACOSHD2_TAY04 -5.580357142857142857142857142857142E-3 /* 5 / 896 */ -#define SDM_ACOSHD2_TAY05 1.898871527777777777777777777777777E-3 /* 35 / 18432 */ -#define SDM_ACOSHD2_TAY06 -6.991299715909090909090909090909090E-4 /* 63 / 90112 */ -#define SDM_ACOSHD2_TAY07 2.711369441105769230769230769230769E-4 /* 231 / 851968 */ -#define SDM_ACOSHD2_TAY08 -1.091003417968750000000000000000000E-4 /* 143 / 1310720 */ -#define SDM_ACOSHD2_TAY09 4.512422225054572610294117647058823E-5 /* 6435 / 142606336 */ -#define SDM_ACOSHD2_TAY10 -1.906564361170718544407894736842105E-5 /* 12155 / 637534208 */ -#define SDM_ACOSHD2_TAY11 8.193687314078921363467261904761904E-6 /* 46189 / 5637144576 */ -#define SDM_ACOSHD2_TAY12 -3.570569274218186088230298913043478E-6 /* 88179 / 24696061952 */ -#define SDM_ACOSHD2_TAY13 1.574025955051183700561523437500000E-6 /* 676039 / 429496729600 */ -#define SDM_ACOSHD2_TAY14 -7.006881922414457356488263165509259E-7 /* 1300075 / 1855425871872 */ -#define SDM_ACOSHD2_TAY15 3.145330616650332150788142763335129E-7 /* 5014575 / 15942918602752 */ - -static __inline vector double _acoshd2(vector double x) -{ - vec_uchar16 dup_even = ((vec_uchar16) { 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }); - vec_double2 minus_oned = spu_splats(-1.0); - vec_double2 twod = spu_splats(2.0); - /* Where we switch from taylor to formula */ - vec_float4 switch_approx = spu_splats(1.15f); - vec_double2 result, fresult, mresult;; - - - vec_double2 xminus1 = spu_add(x, minus_oned); - vec_float4 xf = spu_roundtf(x); - xf = spu_shuffle(xf, xf, dup_even); - - vec_ullong2 use_form = (vec_ullong2)spu_cmpgt(xf, switch_approx); - - vec_double2 sqrtargformula = spu_madd(x, x, minus_oned); - vec_double2 sqrtargtaylor = spu_mul(xminus1, twod); - vec_double2 sqrtarg = spu_sel(sqrtargtaylor, sqrtargformula, use_form); - - vec_double2 sqrtresult = _sqrtd2(sqrtarg); - - /* - * Formula: - * acosh = ln(x + sqrt(x^2 - 1)) - */ - fresult = spu_add(x, sqrtresult); - fresult = _logd2(fresult); - - /* - * Taylor Series - */ - mresult = spu_splats(SDM_ACOSHD2_TAY15); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY14)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY13)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY12)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY11)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY10)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY09)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY08)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY07)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY06)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY05)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY04)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY03)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY02)); - mresult = spu_madd(xminus1, mresult, spu_splats(SDM_ACOSHD2_TAY01)); - - - mresult = spu_mul(mresult, sqrtresult); - - - /* - * Select series or formula - */ - result = spu_sel(mresult, fresult, use_form); - - return result; -} - -#endif /* _ACOSHD2_H_ */ -#endif /* __SPU__ */ |