diff options
Diffstat (limited to 'newlib/libm/machine/spu/headers/atanhd2.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/atanhd2.h | 154 |
1 files changed, 0 insertions, 154 deletions
diff --git a/newlib/libm/machine/spu/headers/atanhd2.h b/newlib/libm/machine/spu/headers/atanhd2.h deleted file mode 100644 index 85e78580f..000000000 --- a/newlib/libm/machine/spu/headers/atanhd2.h +++ /dev/null @@ -1,154 +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 _ATANHD2_H_ -#define _ATANHD2_H_ 1 - -#include <spu_intrinsics.h> -#include "logd2.h" - -/* - * FUNCTION - * vector double _atanhd2(vector double x) - * - * DESCRIPTION - * The atanhd2 function returns a vector containing the hyperbolic - * arctangents of the corresponding elements of the input vector. - * - * We are using the formula: - * atanh x = 1/2 * ln((1 + x)/(1 - x)) = 1/2 * [ln(1+x) - ln(1-x)] - * and the anti-symmetry of atanh. - * - * For x near 0, we use the Taylor series: - * atanh x = x + x^3/3 + x^5/5 + x^7/7 + x^9/9 + ... - * - * Special Cases: - * - atanh(1) = Infinity - * - atanh(-1) = -Infinity - * - atanh(x) for |x| > 1 = Undefined - * - */ - -/* - * Maclaurin Series Coefficients - * for x near 0. - */ -#define SMD_DP_ATANH_MAC01 1.000000000000000000000000000000E0 -#define SMD_DP_ATANH_MAC03 3.333333333333333333333333333333E-1 -#define SMD_DP_ATANH_MAC05 2.000000000000000000000000000000E-1 -#define SMD_DP_ATANH_MAC07 1.428571428571428571428571428571E-1 -#define SMD_DP_ATANH_MAC09 1.111111111111111111111111111111E-1 -#define SMD_DP_ATANH_MAC11 9.090909090909090909090909090909E-2 -#define SMD_DP_ATANH_MAC13 7.692307692307692307692307692308E-2 -#define SMD_DP_ATANH_MAC15 6.666666666666666666666666666667E-2 -#define SMD_DP_ATANH_MAC17 5.882352941176470588235294117647E-2 -#if 0 -#define SMD_DP_ATANH_MAC19 5.263157894736842105263157894737E-2 -#define SMD_DP_ATANH_MAC21 4.761904761904761904761904761905E-2 -#define SMD_DP_ATANH_MAC23 4.347826086956521739130434782609E-2 -#define SMD_DP_ATANH_MAC25 4.000000000000000000000000000000E-2 -#define SMD_DP_ATANH_MAC27 3.703703703703703703703703703704E-2 -#define SMD_DP_ATANH_MAC29 3.448275862068965517241379310345E-2 -#define SMD_DP_ATANH_MAC31 3.225806451612903225806451612903E-2 -#define SMD_DP_ATANH_MAC33 3.030303030303030303030303030303E-2 -#define SMD_DP_ATANH_MAC35 2.857142857142857142857142857143E-2 -#define SMD_DP_ATANH_MAC37 2.702702702702702702702702702703E-2 -#define SMD_DP_ATANH_MAC39 2.564102564102564102564102564103E-2 -#endif - - -static __inline vector double _atanhd2(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 sign_mask = spu_splats(-0.0); - vec_double2 oned = spu_splats(1.0); - vec_double2 onehalfd = spu_splats(0.5); - vec_double2 xabs, xsqu; - /* Where we switch from maclaurin to formula */ - vec_float4 switch_approx = spu_splats(0.125f); - 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: - * atanh = 1/2 * ln((1 + x)/(1 - x)) = 1/2 * [ln(1+x) - ln(1-x)] - */ - fresult = spu_sub(_logd2(spu_add(oned, xabs)), _logd2(spu_sub(oned, xabs))); - fresult = spu_mul(fresult, onehalfd); - - - /* - * Taylor Series - */ - mresult = spu_madd(xsqu, spu_splats(SMD_DP_ATANH_MAC17), spu_splats(SMD_DP_ATANH_MAC15)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC13)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC11)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC09)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC07)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC05)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC03)); - mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_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); - - /* - * Spec says results are undefined for |x| > 1, so - * no boundary tests needed here. - */ - - /* Restore sign - atanh is an anti-symmetric */ - result = spu_sel(result, x, (vec_ullong2)sign_mask); - - return result; -} - -#endif /* _ATANHD2_H_ */ -#endif /* __SPU__ */ |