7529cdb3f6
The upcoming vectormath that will used to speed up the SPU version of Extras/BulletMultiThreaded depends on this.
128 lines
5.2 KiB
C
128 lines
5.2 KiB
C
/* cosd2 - Computes the cosine of the each of two double slots.
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Copyright (C) 2006, 2007 Sony Computer Entertainment Inc.
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All rights reserved.
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Redistribution and use in source and binary forms,
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with or without modification, are permitted provided that the
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following conditions are met:
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* Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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* Neither the name of the Sony Computer Entertainment Inc nor the names
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of its contributors may be used to endorse or promote products derived
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from this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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POSSIBILITY OF SUCH DAMAGE.
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*/
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#include <simdmath.h>
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#include <spu_intrinsics.h>
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#include "sincos_c.h"
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vector double
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cosd2 (vector double x)
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{
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vec_double2 xl,xl2,xl3,res;
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vec_double2 nan = (vec_double2)spu_splats(0x7ff8000000000000ull);
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vec_uchar16 copyEven = (vec_uchar16)(vec_uint4){ 0x00010203, 0x00010203, 0x08090a0b, 0x08090a0b };
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vec_double2 tiny = (vec_double2)spu_splats(0x3e40000000000000ull);
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// Range reduction using : xl = angle * TwoOverPi;
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//
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xl = spu_mul(x, spu_splats(0.63661977236758134307553505349005744));
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// Find the quadrant the angle falls in
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// using: q = (int) (ceil(abs(x))*sign(x))
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//
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xl = spu_add(xl,spu_sel(spu_splats(0.5),xl,spu_splats(0x8000000000000000ull)));
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vec_float4 xf = spu_roundtf(xl);
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vec_int4 q = spu_convts(xf,0);
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q = spu_shuffle(q,q,copyEven);
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// Compute an offset based on the quadrant that the angle falls in
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//
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vec_int4 offset = spu_add(spu_splats(1), spu_and(q,spu_splats(0x3)));
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// Remainder in range [-pi/4..pi/4]
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//
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vec_float4 qf = spu_convtf(q,0);
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vec_double2 qd = spu_extend(qf);
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vec_double2 p1 = spu_nmsub(qd,spu_splats(_SINCOS_KC1D),x);
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xl = spu_nmsub(qd,spu_splats(_SINCOS_KC2D),p1);
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// Check if |xl| is a really small number
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//
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vec_double2 absXl = (vec_double2)spu_andc((vec_ullong2)xl, spu_splats(0x8000000000000000ull));
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vec_ullong2 isTiny = (vec_ullong2)isgreaterd2(tiny,absXl);
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// Compute x^2 and x^3
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//
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xl2 = spu_mul(xl,xl);
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xl3 = spu_mul(xl2,xl);
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// Compute both the sin and cos of the angles
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// using a polynomial expression:
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// cx = 1.0f + xl2 * ((((((c0 * xl2 + c1) * xl2 + c2) * xl2 + c3) * xl2 + c4) * xl2 + c5), and
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// sx = xl + xl3 * (((((s0 * xl2 + s1) * xl2 + s2) * xl2 + s3) * xl2 + s4) * xl2 + s5)
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//
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vec_double2 ct0 = spu_mul(xl2,xl2);
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vec_double2 ct1 = spu_madd(spu_splats(_SINCOS_CC0D),xl2,spu_splats(_SINCOS_CC1D));
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vec_double2 ct2 = spu_madd(spu_splats(_SINCOS_CC2D),xl2,spu_splats(_SINCOS_CC3D));
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vec_double2 ct3 = spu_madd(spu_splats(_SINCOS_CC4D),xl2,spu_splats(_SINCOS_CC5D));
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vec_double2 st1 = spu_madd(spu_splats(_SINCOS_SC0D),xl2,spu_splats(_SINCOS_SC1D));
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vec_double2 st2 = spu_madd(spu_splats(_SINCOS_SC2D),xl2,spu_splats(_SINCOS_SC3D));
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vec_double2 st3 = spu_madd(spu_splats(_SINCOS_SC4D),xl2,spu_splats(_SINCOS_SC5D));
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vec_double2 ct4 = spu_madd(ct2,ct0,ct3);
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vec_double2 st4 = spu_madd(st2,ct0,st3);
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vec_double2 ct5 = spu_mul(ct0,ct0);
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vec_double2 ct6 = spu_madd(ct5,ct1,ct4);
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vec_double2 st6 = spu_madd(ct5,st1,st4);
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vec_double2 cx = spu_madd(ct6,xl2,spu_splats(1.0));
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vec_double2 sx = spu_madd(st6,xl3,xl);
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// Small angle approximation: sin(tiny) = tiny, cos(tiny) = 1.0
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//
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sx = spu_sel(sx,xl,isTiny);
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cx = spu_sel(cx,spu_splats(1.0),isTiny);
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// Use the cosine when the offset is odd and the sin
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// when the offset is even
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//
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vec_ullong2 mask1 = (vec_ullong2)spu_cmpeq(spu_and(offset,(int)0x1),spu_splats((int)0));
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res = spu_sel(cx,sx,mask1);
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// Flip the sign of the result when (offset mod 4) = 1 or 2
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//
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vec_ullong2 mask2 = (vec_ullong2)spu_cmpeq(spu_and(offset,(int)0x2),spu_splats((int)0));
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mask2 = spu_shuffle(mask2,mask2,copyEven);
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res = spu_sel((vec_double2)spu_xor(spu_splats(0x8000000000000000ull),(vec_ullong2)res),res,mask2);
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// if input = +/-Inf return NAN
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//
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res = spu_sel(res, nan, isnand2 (x));
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// if input = 0 or denorm return or 1.0
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//
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vec_ullong2 zeroMask = is0denormd2 (x);
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res = spu_sel(res,spu_splats(1.0),zeroMask);
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return res;
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}
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