126 lines
4.3 KiB
C
126 lines
4.3 KiB
C
/* tand2
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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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#ifndef ___SIMD_MATH_TAND2_H___
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#define ___SIMD_MATH_TAND2_H___
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#include <simdmath.h>
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#include <spu_intrinsics.h>
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#include <simdmath/_sincos.h>
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#include <simdmath/divd2.h>
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#include <simdmath/isinfd2.h>
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#include <simdmath/is0denormd2.h>
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#define __TAND_CC0 -0.00020844956382258822
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#define __TAND_CC1 0.02334489464693293380
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#define __TAND_CC2 -0.46161689768996201755
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#define __TAND_SC0 -0.00000748373924372997
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#define __TAND_SC1 0.00280592875035233052
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#define __TAND_SC2 -0.12828356435663158978
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/*
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* Computes the tangent of the given angles by first reducing the
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* range to [-pi/4..pi/4] and performing the appropriate sin/cos ratio
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*/
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static inline vector double
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_tand2 (vector double x)
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{
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vec_double2 xl,x2,x3,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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// 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(xl))*sign(xl))
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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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// 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(__SINCOSD_KC1),x);
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xl = spu_nmsub(qd,spu_splats(__SINCOSD_KC2),p1);
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// Compute x^2 and x^3
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//
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x2 = spu_mul(xl,xl);
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x3 = spu_mul(x2,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 + x2 * ((C0 * x2 + C1) * x2 + C2), and
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// sx = x + x3 * ((S0 * x2 + S1) * x2 + S2)
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//
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vec_double2 ct1 = spu_madd(spu_splats(__TAND_CC0),x2,spu_splats(__TAND_CC1));
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vec_double2 st1 = spu_madd(spu_splats(__TAND_SC0),x2,spu_splats(__TAND_SC1));
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vec_double2 ct2 = spu_madd(ct1,x2,spu_splats(__TAND_CC2));
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vec_double2 st2 = spu_madd(st1,x2,spu_splats(__TAND_SC2));
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vec_double2 cx = spu_madd(ct2,x2,spu_splats(1.0));
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vec_double2 sx = spu_madd(st2,x3,xl);
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// Compute both cx/sx and sx/cx
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//
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vec_double2 cxosx = _divd2(cx,sx);
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vec_double2 sxocx = _divd2(sx,cx);
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vec_double2 ncxosx = (vec_double2)spu_xor(spu_splats(0x8000000000000000ull),(vec_ullong2)cxosx);
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// For odd numbered quadrants return -cx/sx , otherwise return
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// sx/cx
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//
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vec_ullong2 mask = (vec_ullong2)spu_cmpeq(spu_and(q,(int)0x1),spu_splats((int)0));
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res = spu_sel(ncxosx,sxocx,mask);
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// If input = +/-Inf return NAN
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//
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res = spu_sel(res,nan,_isinfd2 (x));
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// If input =0 or denorm return input
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//
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res = spu_sel(res,x, _is0denormd2 (x));
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return res;
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}
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#endif
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