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
|
///////////////////////////////////////////////////////////////////////////////////////////////////
// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2007-03-05
// Updated : 2007-03-05
// Licence : This source is under MIT License
// File : glm/gtx/matrix_query.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
// Dependency:
// - GLM core
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
namespace gtx{
namespace matrix_query
{
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat2x2<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 2 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat3x3<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 3 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat4x4<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 4 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isIdentity(
const genType& m,
const typename genType::value_type epsilon)
{
bool result = true;
for(typename genType::value_type i = typename genType::value_type(0); result && i < genType::col_size(); ++i)
{
for(typename genType::value_type j = typename genType::value_type(0); result && j < i ; ++j)
result = abs(m[i][j]) <= epsilon;
if(result)
result = abs(m[i][i] - typename genType::value_type(1)) <= epsilon;
for(typename genType::value_type j = i + typename genType::value_type(1); result && j < genType::row_size(); ++j)
result = abs(m[i][j]) <= epsilon;
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized(
const detail::tmat2x2<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 2; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 2; ++i)
{
detail::tvec2<T> v;
for(int j = 0; j < 2; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized(
const detail::tmat3x3<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 3; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 3; ++i)
{
detail::tvec3<T> v;
for(int j = 0; j < 3; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized(
const detail::tmat4x4<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 4; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 4; ++i)
{
detail::tvec4<T> v;
for(int j = 0; j < 4; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isOrthogonal(
const genType& m,
const typename genType::value_type epsilon)
{
bool result = true;
for(int i = 0; result && i < genType::col_size() - 1; ++i)
for(int j= i + 1; result && j < genType::col_size(); ++j)
result = areOrthogonal(m[i], m[j], epsilon);
if(result)
{
genType tmp = transpose(m);
for(int i = 0; result && i < genType::col_size() - 1 ; ++i)
for(int j = i + 1; result && j < genType::col_size(); ++j)
result = areOrthogonal(tmp[i], tmp[j], epsilon);
}
return result;
}
}//namespace matrix_query
}//namespace gtx
}//namespace glm
|
