181 lines
7.2 KiB
C
181 lines
7.2 KiB
C
/* -------------------------------------------------------------- */
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/* (C)Copyright 2006,2007, */
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/* International Business Machines Corporation, */
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/* Sony Computer Entertainment, Incorporated, */
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/* Toshiba Corporation, */
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/* */
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/* All Rights Reserved. */
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/* */
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/* Redistribution and use in source and binary forms, with or */
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/* without modification, are permitted provided that the */
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/* following conditions are met: */
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/* */
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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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/* */
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/* - Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* - Neither the name of IBM Corporation nor the names of its */
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/* contributors may be used to endorse or promote products */
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/* derived from this software without specific prior written */
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/* permission. */
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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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/* */
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/* Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* Neither the name of IBM Corporation nor the names of its */
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/* contributors may be used to endorse or promote products */
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/* derived from this software without specific prior written */
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/* permission. */
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/* */
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/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND */
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/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, */
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/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
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/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
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/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR */
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/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */
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/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */
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/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
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/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */
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/* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */
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/* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */
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/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */
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/* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
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/* -------------------------------------------------------------- */
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/* PROLOG END TAG zYx */
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#ifdef __SPU__
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#ifndef _ACOSF4_H_
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#define _ACOSF4_H_ 1
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#include <spu_intrinsics.h>
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#include "divf4.h"
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#include "sqrtf4.h"
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/*
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* FUNCTION
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* vector float _acosf4(vector float x)
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*
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* DESCRIPTION
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* The _acosf4 function computes the arc cosine for a vector of values x;
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* that is the values whose cosine is x. Results are undefined if x is
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* outside the range [-1, 1].
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*
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* RETURNS
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* The _acosf4 function returns the arc cosine in radians and the value is
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* mathematically defined to be in the range [0, pi].
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*
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*/
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static __inline vector float _acosf4(vector float x)
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{
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vec_float4 zero = spu_splats(0.0f);
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vec_float4 half = spu_splats(0.5f);
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vec_float4 one = spu_splats(1.0f);
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vec_float4 two = spu_splats(2.0f);
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vec_float4 pi = spu_splats(3.1415925026e+00f);
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vec_float4 pio2_hi = spu_splats(1.5707962513e+00f);
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vec_float4 pio2_lo = spu_splats(7.5497894159e-08f);
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vec_float4 snan = (vec_float4)spu_splats((unsigned int)0x7FC00000);
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vec_uint4 denorm_threshold = spu_splats((unsigned int)0x23000000);
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vec_uint4 sign_mask = spu_splats((unsigned int)0x80000000);
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vec_float4 p0 = (vec_float4)spu_splats((unsigned int)0x3E2AAAAB);
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vec_float4 p1 = (vec_float4)spu_splats((unsigned int)0xBEA6B090);
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vec_float4 p2 = (vec_float4)spu_splats((unsigned int)0x3E4E0AA8);
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vec_float4 p3 = (vec_float4)spu_splats((unsigned int)0xBD241146);
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vec_float4 p4 = (vec_float4)spu_splats((unsigned int)0x3A4F7F04);
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vec_float4 p5 = (vec_float4)spu_splats((unsigned int)0x3811EF08);
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vec_float4 q1 = (vec_float4)spu_splats((unsigned int)0xC019D139);
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vec_float4 q2 = (vec_float4)spu_splats((unsigned int)0x4001572D);
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vec_float4 q3 = (vec_float4)spu_splats((unsigned int)0xBF303361);
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vec_float4 q4 = (vec_float4)spu_splats((unsigned int)0x3D9DC62E);
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vec_uint4 x_abs = spu_andc((vec_uint4)x,sign_mask);
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vec_uint4 x_pos = spu_cmpgt(sign_mask,(vec_uint4)x);
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vec_uint4 almost_half = spu_splats((unsigned int)0x3EFFFFFF);
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vec_uint4 sel0 = spu_nand(spu_splats((unsigned int)0xFFFFFFFF),spu_cmpgt(x_abs,almost_half));
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vec_uint4 sel1 = spu_andc(x_pos,sel0); // pos
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vec_float4 za = spu_sel(spu_sel(spu_add(one,x),spu_sub(one,x),sel1) ,x,sel0);
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vec_float4 zb = spu_sel(half,x,sel0);
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vec_float4 z = spu_mul(za,zb);
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vec_float4 p;
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p = spu_madd(z,p5,p4);
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p = spu_madd(p,z,p3);
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p = spu_madd(p,z,p2);
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p = spu_madd(p,z,p1);
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p = spu_madd(p,z,p0);
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p = spu_mul(p,z);
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vec_float4 q;
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q = spu_madd(z,q4,q3);
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q = spu_madd(q,z,q2);
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q = spu_madd(q,z,q1);
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q = spu_madd(q,z,one);
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// Only used by secondaries
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vec_float4 s = _sqrtf4(z);
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vec_float4 r = _divf4(p,q);
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vec_float4 w1 = spu_msub(r,s,pio2_lo);
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vec_float4 df = (vec_float4)spu_and((vec_uint4)s,0xFFFFF000);
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vec_float4 c = _divf4(spu_nmsub(df,df,z),spu_add(s,df));
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vec_float4 w2 = spu_madd(r,s,c);
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vec_float4 result0 = spu_sub(pio2_hi,spu_sub(x,spu_nmsub(x,r,pio2_lo)));
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vec_float4 result1 = spu_mul(two,spu_add(df,w2));
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vec_float4 result2 = spu_nmsub(two,spu_add(s,w1),pi);
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vec_float4 result;
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result = spu_sel(result2,result1,sel1);
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result = spu_sel(result,result0,sel0);
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// If |x|==1 then:
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// if x == 1, return 0
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// else return pi
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vec_uint4 abs_one = spu_cmpeq(x_abs,(vec_uint4)one);
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vec_uint4 out_of_bounds = spu_cmpgt(x_abs,(vec_uint4)one);
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vec_uint4 underflow = spu_cmpgt(denorm_threshold,x_abs);
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result = spu_sel(result,spu_sel(pi,zero,x_pos),abs_one);
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// If 1 < |x| then return sNaN
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result = spu_sel(result,snan,out_of_bounds);
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// If |x| < 2**-57, then return pi/2 (OFF BY 1 ULP)
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result = spu_sel(result,spu_add(pio2_hi,pio2_lo),underflow);
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return result;
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}
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#endif /* _ACOSF4_H_ */
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#endif /* __SPU__ */
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