1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
|
/**
* $Id$
*/
/*
*
* Template Numerical Toolkit (TNT): Linear Algebra Module
*
* Mathematical and Computational Sciences Division
* National Institute of Technology,
* Gaithersburg, MD USA
*
*
* This software was developed at the National Institute of Standards and
* Technology (NIST) by employees of the Federal Government in the course
* of their official duties. Pursuant to title 17 Section 105 of the
* United States Code, this software is not subject to copyright protection
* and is in the public domain. The Template Numerical Toolkit (TNT) is
* an experimental system. NIST assumes no responsibility whatsoever for
* its use by other parties, and makes no guarantees, expressed or implied,
* about its quality, reliability, or any other characteristic.
*
* BETA VERSION INCOMPLETE AND SUBJECT TO CHANGE
* see http://math.nist.gov/tnt for latest updates.
*
*/
// Header file for scalar math functions
#ifndef TNTMATH_H
#define TNTMATH_H
// conventional functions required by several matrix algorithms
#ifdef _WIN32
#define hypot _hypot
#endif
namespace TNT
{
struct TNTException {
int i;
};
inline double abs(double t)
{
return ( t > 0 ? t : -t);
}
inline double min(double a, double b)
{
return (a < b ? a : b);
}
inline double max(double a, double b)
{
return (a > b ? a : b);
}
inline float abs(float t)
{
return ( t > 0 ? t : -t);
}
inline float min(float a, float b)
{
return (a < b ? a : b);
}
inline int min(int a, int b)
{
return (a < b ? a : b);
}
inline int max(int a, int b)
{
return (a > b ? a : b);
}
inline float max(float a, float b)
{
return (a > b ? a : b);
}
inline double sign(double a)
{
return (a > 0 ? 1.0 : -1.0);
}
inline double sign(double a,double b) {
return (b >= 0.0 ? TNT::abs(a) : -TNT::abs(a));
}
inline float sign(float a,float b) {
return (b >= 0.0f ? TNT::abs(a) : -TNT::abs(a));
}
inline float sign(float a)
{
return (a > 0.0 ? 1.0f : -1.0f);
}
inline float pythag(float a, float b)
{
float absa,absb;
absa = abs(a);
absb = abs(b);
if (absa > absb) {
float sqr = absb/absa;
sqr *= sqr;
return absa * float(sqrt(1 + sqr));
} else {
if (absb > float(0)) {
float sqr = absa/absb;
sqr *= sqr;
return absb * float(sqrt(1 + sqr));
} else {
return float(0);
}
}
}
inline double pythag(double a, double b)
{
double absa,absb;
absa = abs(a);
absb = abs(b);
if (absa > absb) {
double sqr = absb/absa;
sqr *= sqr;
return absa * double(sqrt(1 + sqr));
} else {
if (absb > double(0)) {
double sqr = absa/absb;
sqr *= sqr;
return absb * double(sqrt(1 + sqr));
} else {
return double(0);
}
}
}
} /* namespace TNT */
#endif /* TNTMATH_H */
|
