1 |
207 |
jeremybenn |
/* -------------------------------------------------------------- */
|
2 |
|
|
/* (C)Copyright 2007,2008, */
|
3 |
|
|
/* International Business Machines Corporation */
|
4 |
|
|
/* All Rights Reserved. */
|
5 |
|
|
/* */
|
6 |
|
|
/* Redistribution and use in source and binary forms, with or */
|
7 |
|
|
/* without modification, are permitted provided that the */
|
8 |
|
|
/* following conditions are met: */
|
9 |
|
|
/* */
|
10 |
|
|
/* - Redistributions of source code must retain the above copyright*/
|
11 |
|
|
/* notice, this list of conditions and the following disclaimer. */
|
12 |
|
|
/* */
|
13 |
|
|
/* - Redistributions in binary form must reproduce the above */
|
14 |
|
|
/* copyright notice, this list of conditions and the following */
|
15 |
|
|
/* disclaimer in the documentation and/or other materials */
|
16 |
|
|
/* provided with the distribution. */
|
17 |
|
|
/* */
|
18 |
|
|
/* - Neither the name of IBM Corporation nor the names of its */
|
19 |
|
|
/* contributors may be used to endorse or promote products */
|
20 |
|
|
/* derived from this software without specific prior written */
|
21 |
|
|
/* permission. */
|
22 |
|
|
/* */
|
23 |
|
|
/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND */
|
24 |
|
|
/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, */
|
25 |
|
|
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
|
26 |
|
|
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
|
27 |
|
|
/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR */
|
28 |
|
|
/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */
|
29 |
|
|
/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */
|
30 |
|
|
/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
|
31 |
|
|
/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */
|
32 |
|
|
/* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */
|
33 |
|
|
/* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */
|
34 |
|
|
/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */
|
35 |
|
|
/* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
|
36 |
|
|
/* -------------------------------------------------------------- */
|
37 |
|
|
/* PROLOG END TAG zYx */
|
38 |
|
|
#ifdef __SPU__
|
39 |
|
|
#ifndef _HYPOTF4_H_
|
40 |
|
|
#define _HYPOTF4_H_ 1
|
41 |
|
|
|
42 |
|
|
#include <spu_intrinsics.h>
|
43 |
|
|
|
44 |
|
|
#include "sqrtf4.h"
|
45 |
|
|
|
46 |
|
|
/*
|
47 |
|
|
* FUNCTION
|
48 |
|
|
* vector float _hypotf4(vector float x, vector float y)
|
49 |
|
|
*
|
50 |
|
|
* DESCRIPTION
|
51 |
|
|
* The function hypotf4 returns a float vector in which each element is
|
52 |
|
|
* the square root of the sum of the squares of the corresponding
|
53 |
|
|
* elements of x and y. In other words, each element is sqrt(x^2 + y^2).
|
54 |
|
|
*
|
55 |
|
|
* The purpose of this function is to avoid overflow during
|
56 |
|
|
* intermediate calculations, and therefore it is slower than
|
57 |
|
|
* simply calcualting sqrt(x^2 + y^2).
|
58 |
|
|
*
|
59 |
|
|
* This function is performed by factoring out the larger of the 2
|
60 |
|
|
* input exponents and moving this factor outside of the sqrt calculation.
|
61 |
|
|
* This will minimize the possibility of over/underflow when the square
|
62 |
|
|
* of the values are calculated. Think of it as normalizing the larger
|
63 |
|
|
* input to the range [1,2).
|
64 |
|
|
*
|
65 |
|
|
*
|
66 |
|
|
* Special Cases:
|
67 |
|
|
* - hypot(x, +/-0) returns |x|
|
68 |
|
|
* - hypot(+/- infinity, y) returns +infinity
|
69 |
|
|
* - hypot(+/- infinity, NaN) returns +infinity
|
70 |
|
|
*
|
71 |
|
|
*/
|
72 |
|
|
|
73 |
|
|
|
74 |
|
|
static __inline vector float _hypotf4(vector float x, vector float y)
|
75 |
|
|
{
|
76 |
|
|
vector unsigned int emask = spu_splats(0x7F800000u);
|
77 |
|
|
vector unsigned int mmask = spu_splats(0x007FFFFFu);
|
78 |
|
|
vector signed int bias = spu_splats(0x3F800000);
|
79 |
|
|
vector float inf = (vec_float4)spu_splats(0x7F800000);
|
80 |
|
|
vector float onef = spu_splats(1.0f);
|
81 |
|
|
vector float sbit = spu_splats(-0.0f);
|
82 |
|
|
vector float max, max_e, max_m;
|
83 |
|
|
vector float min, min_e, min_m;
|
84 |
|
|
vector unsigned int xgty;
|
85 |
|
|
vector float sum;
|
86 |
|
|
vector float result;
|
87 |
|
|
|
88 |
|
|
/* Only need absolute values for this function */
|
89 |
|
|
x = spu_andc(x, sbit);
|
90 |
|
|
y = spu_andc(y, sbit);
|
91 |
|
|
xgty = spu_cmpgt(x,y);
|
92 |
|
|
|
93 |
|
|
max = spu_sel(y,x,xgty);
|
94 |
|
|
min = spu_sel(x,y,xgty);
|
95 |
|
|
|
96 |
|
|
/* Extract exponents and mantissas */
|
97 |
|
|
max_e = (vec_float4)spu_and((vec_uint4)max, emask);
|
98 |
|
|
max_m = (vec_float4)spu_and((vec_uint4)max, mmask);
|
99 |
|
|
min_e = (vec_float4)spu_and((vec_uint4)min, emask);
|
100 |
|
|
min_m = (vec_float4)spu_and((vec_uint4)min, mmask);
|
101 |
|
|
|
102 |
|
|
/* Adjust the exponent of the smaller of the 2 input values by
|
103 |
|
|
* subtracting max_exp from min_exp.
|
104 |
|
|
*/
|
105 |
|
|
vec_int4 min_e_int = spu_sub((vec_int4)min_e, (vec_int4)max_e);
|
106 |
|
|
min_e = (vec_float4)spu_add(min_e_int, bias);
|
107 |
|
|
|
108 |
|
|
/* If the new min exponent is too small, just set it to 0. It
|
109 |
|
|
* wouldn't contribute to the final result in either case.
|
110 |
|
|
*/
|
111 |
|
|
min_e = spu_sel(min_e, sbit, spu_cmpgt(sbit, min_e));
|
112 |
|
|
|
113 |
|
|
/* Combine new exponents with original mantissas */
|
114 |
|
|
max = spu_or(onef, max_m);
|
115 |
|
|
min = spu_or(min_e, min_m);
|
116 |
|
|
|
117 |
|
|
sum = _sqrtf4(spu_madd(max, max, spu_mul(min, min)));
|
118 |
|
|
sum = spu_mul(max_e, sum);
|
119 |
|
|
|
120 |
|
|
/* Special case: x = +/- infinity */
|
121 |
|
|
result = spu_sel(sum, inf, spu_cmpeq(x, inf));
|
122 |
|
|
|
123 |
|
|
return result;
|
124 |
|
|
}
|
125 |
|
|
|
126 |
|
|
#endif /* _HYPOTF4_H_ */
|
127 |
|
|
#endif /* __SPU__ */
|