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Diffstat (limited to 'newlib/libm/machine/spu/headers/cos_sin.h')
-rw-r--r-- | newlib/libm/machine/spu/headers/cos_sin.h | 204 |
1 files changed, 0 insertions, 204 deletions
diff --git a/newlib/libm/machine/spu/headers/cos_sin.h b/newlib/libm/machine/spu/headers/cos_sin.h deleted file mode 100644 index f0f6910ce..000000000 --- a/newlib/libm/machine/spu/headers/cos_sin.h +++ /dev/null @@ -1,204 +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 _COS_SIN_H_ -#define _COS_SIN_H_ 1 - -#define M_PI_OVER_4_HI_32 0x3fe921fb - -#define M_PI_OVER_4 0.78539816339744827900 -#define M_FOUR_OVER_PI 1.27323954478442180616 - -#define M_PI_OVER_2 1.57079632679489655800 -#define M_PI_OVER_2_HI 1.57079632673412561417 -#define M_PI_OVER_2_LO 0.0000000000607710050650619224932 - -#define M_PI_OVER_2F_HI 1.570312500000000000 -#define M_PI_OVER_2F_LO 0.000483826794896558 - -/* The following coefficients correspond to the Taylor series - * coefficients for cos and sin. - */ -#define COS_14 -0.00000000001138218794258068723867 -#define COS_12 0.000000002087614008917893178252 -#define COS_10 -0.0000002755731724204127572108 -#define COS_08 0.00002480158729870839541888 -#define COS_06 -0.001388888888888735934799 -#define COS_04 0.04166666666666666534980 -#define COS_02 -0.5000000000000000000000 -#define COS_00 1.0 - -#define SIN_15 -0.00000000000076471637318198164759 -#define SIN_13 0.00000000016059043836821614599 -#define SIN_11 -0.000000025052108385441718775 -#define SIN_09 0.0000027557319223985890653 -#define SIN_07 -0.0001984126984126984127 -#define SIN_05 0.008333333333333333333 -#define SIN_03 -0.16666666666666666666 -#define SIN_01 1.0 - - -/* Compute the following for each floating point element of x. - * x = fmod(x, PI/4); - * ix = (int)x * PI/4; - * This allows one to compute cos / sin over the limited range - * and select the sign and correct result based upon the octant - * of the original angle (as defined by the ix result). - * - * Expected Inputs Types: - * x = vec_float4 - * ix = vec_int4 - */ -#define MOD_PI_OVER_FOUR_F(_x, _ix) { \ - vec_float4 fx; \ - \ - _ix = spu_convts(spu_mul(_x, spu_splats((float)M_FOUR_OVER_PI)), 0); \ - _ix = spu_add(_ix, spu_add(spu_rlmaska((vec_int4)_x, -31), 1)); \ - \ - fx = spu_convtf(spu_rlmaska(_ix, -1), 0); \ - _x = spu_nmsub(fx, spu_splats((float)M_PI_OVER_2F_HI), _x); \ - _x = spu_nmsub(fx, spu_splats((float)M_PI_OVER_2F_LO), _x); \ - } - -/* Double precision MOD_PI_OVER_FOUR - * - * Expected Inputs Types: - * x = vec_double2 - * ix = vec_int4 - */ -#define MOD_PI_OVER_FOUR(_x, _ix) { \ - vec_float4 fx; \ - vec_double2 dix; \ - \ - fx = spu_roundtf(spu_mul(_x, spu_splats(M_FOUR_OVER_PI))); \ - _ix = spu_convts(fx, 0); \ - _ix = spu_add(_ix, spu_add(spu_rlmaska((vec_int4)fx, -31), 1)); \ - \ - dix = spu_extend(spu_convtf(spu_rlmaska(_ix, -1), 0)); \ - _x = spu_nmsub(spu_splats(M_PI_OVER_2_HI), dix, _x); \ - _x = spu_nmsub(spu_splats(M_PI_OVER_2_LO), dix, _x); \ - } - - -/* Compute the cos(x) and sin(x) for the range reduced angle x. - * In order to compute these trig functions to full single precision - * accuracy, we solve the Taylor series. - * - * c = cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + x^8/8! - x^10/10! - * s = sin(x) = x - x^3/4! + x^5/5! - x^7/7! + x^9/9! - x^11/11! - * - * Expected Inputs Types: - * x = vec_float4 - * c = vec_float4 - * s = vec_float4 - */ - -#define COMPUTE_COS_SIN_F(_x, _c, _s) { \ - vec_float4 x2, x4, x6; \ - vec_float4 cos_hi, cos_lo; \ - vec_float4 sin_hi, sin_lo; \ - \ - x2 = spu_mul(_x, _x); \ - x4 = spu_mul(x2, x2); \ - x6 = spu_mul(x2, x4); \ - \ - cos_hi = spu_madd(spu_splats((float)COS_10), x2, spu_splats((float)COS_08)); \ - cos_lo = spu_madd(spu_splats((float)COS_04), x2, spu_splats((float)COS_02)); \ - cos_hi = spu_madd(cos_hi, x2, spu_splats((float)COS_06)); \ - cos_lo = spu_madd(cos_lo, x2, spu_splats((float)COS_00)); \ - _c = spu_madd(cos_hi, x6, cos_lo); \ - \ - sin_hi = spu_madd(spu_splats((float)SIN_11), x2, spu_splats((float)SIN_09)); \ - sin_lo = spu_madd(spu_splats((float)SIN_05), x2, spu_splats((float)SIN_03)); \ - sin_hi = spu_madd(sin_hi, x2, spu_splats((float)SIN_07)); \ - sin_lo = spu_madd(sin_lo, x2, spu_splats((float)SIN_01)); \ - _s = spu_madd(sin_hi, x6, sin_lo); \ - _s = spu_mul(_s, _x); \ - } - - -/* Compute the cos(x) and sin(x) for the range reduced angle x. - * This version computes the cosine and sine to double precision - * accuracy using the Taylor series: - * - * c = cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + x^8/8! - x^10/10! + x^12/12! - x^14/14! - * s = sin(x) = x - x^3/4! + x^5/5! - x^7/7! + x^9/9! - x^11/11! + x^13/13! - x^15/15! - * - * Expected Inputs Types: - * x = vec_double2 - * c = vec_double2 - * s = vec_double2 - */ - -#define COMPUTE_COS_SIN(_x, _c, _s) { \ - vec_double2 x2, x4, x8; \ - vec_double2 cos_hi, cos_lo; \ - vec_double2 sin_hi, sin_lo; \ - \ - x2 = spu_mul(_x, _x); \ - x4 = spu_mul(x2, x2); \ - x8 = spu_mul(x4, x4); \ - \ - cos_hi = spu_madd(spu_splats(COS_14), x2, spu_splats(COS_12)); \ - cos_lo = spu_madd(spu_splats(COS_06), x2, spu_splats(COS_04)); \ - cos_hi = spu_madd(cos_hi, x2, spu_splats(COS_10)); \ - cos_lo = spu_madd(cos_lo, x2, spu_splats(COS_02)); \ - cos_hi = spu_madd(cos_hi, x2, spu_splats(COS_08)); \ - cos_lo = spu_madd(cos_lo, x2, spu_splats(COS_00)); \ - _c = spu_madd(cos_hi, x8, cos_lo); \ - \ - sin_hi = spu_madd(spu_splats(SIN_15), x2, spu_splats(SIN_13)); \ - sin_lo = spu_madd(spu_splats(SIN_07), x2, spu_splats(SIN_05)); \ - sin_hi = spu_madd(sin_hi, x2, spu_splats(SIN_11)); \ - sin_lo = spu_madd(sin_lo, x2, spu_splats(SIN_03)); \ - sin_hi = spu_madd(sin_hi, x2, spu_splats(SIN_09)); \ - sin_lo = spu_madd(sin_lo, x2, spu_splats(SIN_01)); \ - _s = spu_madd(sin_hi, x8, sin_lo); \ - _s = spu_mul(_s, _x); \ - } - - - - -#endif /* _COS_SIN_H_ */ -#endif /* __SPU__ */ - - |