diff options
Diffstat (limited to 'newlib/libm/machine/spu/headers/expd2.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/expd2.h | 196 |
1 files changed, 0 insertions, 196 deletions
diff --git a/newlib/libm/machine/spu/headers/expd2.h b/newlib/libm/machine/spu/headers/expd2.h deleted file mode 100644 index c35bf22cd..000000000 --- a/newlib/libm/machine/spu/headers/expd2.h +++ /dev/null @@ -1,196 +0,0 @@ -/* -------------------------------------------------------------- */ -/* (C)Copyright 2001,2008, */ -/* International Business Machines Corporation, */ -/* Sony Computer Entertainment, Incorporated, */ -/* Toshiba 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 _EXPD2_H_ -#define _EXPD2_H_ 1 - -#include <spu_intrinsics.h> -#include "floord2.h" - -#define LOG2E 1.4426950408889634073599 // 1/log(2) - -/* - * FUNCTION - * vector double _expd2(vector double x) - * - * DESCRIPTION - * _expd2 computes e raised to the input x for - * each of the element of the double word vector. - * - * Calculation is performed by reducing the input argument - * to within a managable range, and then computing the power - * series to the 11th degree. - * - * Range reduction is performed using the property: - * - * exp(x) = 2^n * exp(r) - * - * Values for "n" and "r" are determined such that: - * - * x = n * ln(2) + r, |r| <= ln(2)/2 - * - * n = floor( (x/ln(2)) + 1/2 ) - * r = x - (n * ln(2)) - * - * To enhance the precision for "r", computation is performed - * using a two part representation of ln(2). - * - * Once the input is reduced, the power series is computed: - * - * __12_ - * \ - * exp(x) = 1 + \ (x^i)/i! - * / - * /____ - * i=2 - * - * The resulting value is scaled by 2^n and returned. - * - */ - -static __inline vector double _expd2(vector double x) -{ - // log(2) in extended machine representable precision - vec_double2 ln2_hi = spu_splats(6.9314575195312500E-1); // 3FE62E4000000000 - vec_double2 ln2_lo = spu_splats(1.4286068203094172E-6); // 3EB7F7D1CF79ABCA - - // coefficients for the power series - // vec_double2 f01 = spu_splats(1.00000000000000000000E0); // 1/(1!) - vec_double2 f02 = spu_splats(5.00000000000000000000E-1); // 1/(2!) - vec_double2 f03 = spu_splats(1.66666666666666666667E-1); // 1/(3!) - vec_double2 f04 = spu_splats(4.16666666666666666667E-2); // 1/(4!) - vec_double2 f05 = spu_splats(8.33333333333333333333E-3); // 1/(5!) - vec_double2 f06 = spu_splats(1.38888888888888888889E-3); // 1/(6!) - vec_double2 f07 = spu_splats(1.98412698412698412698E-4); // 1/(7!) - vec_double2 f08 = spu_splats(2.48015873015873015873E-5); // 1/(8!) - vec_double2 f09 = spu_splats(2.75573192239858906526E-6); // 1/(9!) - vec_double2 f10 = spu_splats(2.75573192239858906526E-7); // 1/(10!) - vec_double2 f11 = spu_splats(2.50521083854417187751E-8); // 1/(11!) - vec_double2 f12 = spu_splats(2.08767569878680989792E-9); // 1/(12!) - - // rx = floor(1/2 + x/log(2)) - vec_double2 rx = _floord2(spu_madd(x,spu_splats(LOG2E),spu_splats(0.5))); - - // extract the exponent of reduction - vec_int4 exp = spu_convts(spu_roundtf(rx),0); - - // reduce the input to within [ -ln(2)/2 ... ln(2)/2 ] - vec_double2 r; - r = spu_nmsub(rx,ln2_hi,x); - r = spu_nmsub(rx,ln2_lo,r); - - vec_double2 result; - vec_double2 r2 = spu_mul(r,r); - - // Use Horner's method on the power series - /* result = ((((c12*x + c11)*x + c10)*x + c9)*x + c8)*x + c7)*x + c6)*x^6 + - ((((((c5*x + c4)*x + c3)*x + c2)*x + c1)*x + c0 - */ - -#ifdef __SPU_EDP__ - vec_double2 p1, p2, r4, r6; - - p1 = spu_madd(f12, r, f11); - p2 = spu_madd(f05, r, f04); - r4 = spu_mul(r2, r2); - p1 = spu_madd(p1, r, f10); - p2 = spu_madd(p2, r, f03); - p1 = spu_madd(p1, r, f09); - p2 = spu_madd(p2, r, f02); - p1 = spu_madd(p1, r, f08); - r6 = spu_mul(r2, r4); - p1 = spu_madd(p1, r, f07); - p2 = spu_madd(p2, r2, r); - p1 = spu_madd(p1, r, f06); - - result = spu_madd(r6, p1, p2); - result = spu_add(result, spu_splats(1.0)); - -#else - - result = spu_madd(r,f12,f11); - result = spu_madd(result,r,f10); - result = spu_madd(result,r,f09); - result = spu_madd(result,r,f08); - result = spu_madd(result,r,f07); - result = spu_madd(result,r,f06); - result = spu_madd(result,r,f05); - result = spu_madd(result,r,f04); - result = spu_madd(result,r,f03); - result = spu_madd(result,r,f02); - result = spu_madd(result,r2,r); - result = spu_add(result,spu_splats(1.0)); - -#endif /* __SPU_EDP__ */ - - - // Scale the result - basically a call to ldexpd2() - vec_int4 e1, e2; - vec_int4 min = spu_splats(-2044); - vec_int4 max = spu_splats(2046); - vec_uint4 cmp_min, cmp_max; - vec_uint4 shift = (vec_uint4) { 20, 32, 20, 32 }; - vec_double2 f1, f2; - - /* Clamp the specified exponent to the range -2044 to 2046. - */ - cmp_min = spu_cmpgt(exp, min); - cmp_max = spu_cmpgt(exp, max); - exp = spu_sel(min, exp, cmp_min); - exp = spu_sel(exp, max, cmp_max); - - /* Generate the factors f1 = 2^e1 and f2 = 2^e2 - */ - e1 = spu_rlmaska(exp, -1); - e2 = spu_sub(exp, e1); - - f1 = (vec_double2)spu_sl(spu_add(e1, 1023), shift); - f2 = (vec_double2)spu_sl(spu_add(e2, 1023), shift); - - /* Compute the product x * 2^e1 * 2^e2 - */ - result = spu_mul(spu_mul(result, f1), f2); - - return result; -} - -#endif /* _EXPD2_H_ */ -#endif /* __SPU__ */ |