114 lines
4.4 KiB
C
114 lines
4.4 KiB
C
/* sincosf4 -
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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_SINCOSF4_H___
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#define ___SIMD_MATH_SINCOSF4_H___
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#include <simdmath.h>
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#include <altivec.h>
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#include <simdmath/_sincos.h>
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#include <simdmath/_vec_utils.h>
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//
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// Computes both the sine and cosine of the all four slots of x
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// by using a polynomial approximation.
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//
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static inline void
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_sincosf4 (vector float x, vector float *s, vector float *c)
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{
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vector float xl,xl2,xl3;
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vector signed int q;
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vector signed int offsetSin, offsetCos;
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// Range reduction using : xl = angle * TwoOverPi;
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//
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xl = vec_madd(x, __vec_splatsf4(0.63661977236f),__vec_splatsf4(0.0f));
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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 = vec_add(xl,vec_sel(__vec_splatsf4(0.5f),xl,__vec_splatsu4(0x80000000)));
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q = vec_cts(xl,0);
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// Compute the offset based on the quadrant that the angle falls in.
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// Add 1 to the offset for the cosine.
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//
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offsetSin = vec_and(q,__vec_splatsi4((int)0x3));
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offsetCos = vec_add(__vec_splatsi4(1),offsetSin);
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// Remainder in range [-pi/4..pi/4]
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//
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vector float qf = vec_ctf(q,0);
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vector float p1 = vec_nmsub(qf,__vec_splatsf4(__SINCOSF_KC1),x);
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xl = vec_nmsub(qf,__vec_splatsf4(__SINCOSF_KC2),p1);
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// Compute x^2 and x^3
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//
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xl2 = vec_madd(xl,xl,__vec_splatsf4(0.0f));
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xl3 = vec_madd(xl2,xl,__vec_splatsf4(0.0f));
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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), and
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// sx = xl + xl3 * ((S0 * xl2 + S1) * xl2 + S2)
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//
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vector float ct1 = vec_madd(__vec_splatsf4(__SINCOSF_CC0),xl2,__vec_splatsf4(__SINCOSF_CC1));
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vector float st1 = vec_madd(__vec_splatsf4(__SINCOSF_SC0),xl2,__vec_splatsf4(__SINCOSF_SC1));
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vector float ct2 = vec_madd(ct1,xl2,__vec_splatsf4(__SINCOSF_CC2));
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vector float st2 = vec_madd(st1,xl2,__vec_splatsf4(__SINCOSF_SC2));
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vector float cx = vec_madd(ct2,xl2,__vec_splatsf4(1.0f));
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vector float sx = vec_madd(st2,xl3,xl);
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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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vector unsigned int sinMask =
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(vector unsigned int)vec_cmpeq(vec_and(offsetSin,__vec_splatsi4(0x1)),__vec_splatsi4(0));
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vector unsigned int cosMask =
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(vector unsigned int)vec_cmpeq(vec_and(offsetCos,__vec_splatsi4(0x1)),__vec_splatsi4(0));
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*s = vec_sel(cx,sx,sinMask);
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*c = vec_sel(cx,sx,cosMask);
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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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sinMask = (vector unsigned int)vec_cmpeq(vec_and(offsetSin,__vec_splatsi4(0x2)),__vec_splatsi4(0));
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cosMask = (vector unsigned int)vec_cmpeq(vec_and(offsetCos,__vec_splatsi4(0x2)),__vec_splatsi4(0));
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*s = vec_sel((vector float)vec_xor(__vec_splatsu4(0x80000000),(vector unsigned int)*s),*s,sinMask);
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*c = vec_sel((vector float)vec_xor(__vec_splatsu4(0x80000000),(vector unsigned int)*c),*c,cosMask);
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}
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#endif
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