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
|
/// @ref gtx_vector_query
#include <cassert>
namespace glm{
namespace detail
{
template<length_t L, typename T, qualifier Q>
struct compute_areCollinear{};
template<typename T, qualifier Q>
struct compute_areCollinear<2, T, Q>
{
GLM_FUNC_QUALIFIER static bool call(vec<2, T, Q> const& v0, vec<2, T, Q> const& v1, T const& epsilon)
{
return length(cross(vec<3, T, Q>(v0, static_cast<T>(0)), vec<3, T, Q>(v1, static_cast<T>(0)))) < epsilon;
}
};
template<typename T, qualifier Q>
struct compute_areCollinear<3, T, Q>
{
GLM_FUNC_QUALIFIER static bool call(vec<3, T, Q> const& v0, vec<3, T, Q> const& v1, T const& epsilon)
{
return length(cross(v0, v1)) < epsilon;
}
};
template<typename T, qualifier Q>
struct compute_areCollinear<4, T, Q>
{
GLM_FUNC_QUALIFIER static bool call(vec<4, T, Q> const& v0, vec<4, T, Q> const& v1, T const& epsilon)
{
return length(cross(vec<3, T, Q>(v0), vec<3, T, Q>(v1))) < epsilon;
}
};
template<length_t L, typename T, qualifier Q>
struct compute_isCompNull{};
template<typename T, qualifier Q>
struct compute_isCompNull<2, T, Q>
{
GLM_FUNC_QUALIFIER static vec<2, bool, Q> call(vec<2, T, Q> const& v, T const& epsilon)
{
return vec<2, bool, Q>(
(abs(v.x) < epsilon),
(abs(v.y) < epsilon));
}
};
template<typename T, qualifier Q>
struct compute_isCompNull<3, T, Q>
{
GLM_FUNC_QUALIFIER static vec<3, bool, Q> call(vec<3, T, Q> const& v, T const& epsilon)
{
return vec<3, bool, Q>(
(abs(v.x) < epsilon),
(abs(v.y) < epsilon),
(abs(v.z) < epsilon));
}
};
template<typename T, qualifier Q>
struct compute_isCompNull<4, T, Q>
{
GLM_FUNC_QUALIFIER static vec<4, bool, Q> call(vec<4, T, Q> const& v, T const& epsilon)
{
return vec<4, bool, Q>(
(abs(v.x) < epsilon),
(abs(v.y) < epsilon),
(abs(v.z) < epsilon),
(abs(v.w) < epsilon));
}
};
}//namespace detail
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER bool areCollinear(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areCollinear' only accept floating-point inputs");
return detail::compute_areCollinear<L, T, Q>::call(v0, v1, epsilon);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER bool areOrthogonal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areOrthogonal' only accept floating-point inputs");
return abs(dot(v0, v1)) <= max(
static_cast<T>(1),
length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER bool isNormalized(vec<L, T, Q> const& v, T const& epsilon)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNormalized' only accept floating-point inputs");
return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER bool isNull(vec<L, T, Q> const& v, T const& epsilon)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNull' only accept floating-point inputs");
return length(v) <= epsilon;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, bool, Q> isCompNull(vec<L, T, Q> const& v, T const& epsilon)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isCompNull' only accept floating-point inputs");
return detail::compute_isCompNull<L, T, Q>::call(v, epsilon);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<2, bool, Q> isCompNull(vec<2, T, Q> const& v, T const& epsilon)
{
return vec<2, bool, Q>(
abs(v.x) < epsilon,
abs(v.y) < epsilon);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, bool, Q> isCompNull(vec<3, T, Q> const& v, T const& epsilon)
{
return vec<3, bool, Q>(
abs(v.x) < epsilon,
abs(v.y) < epsilon,
abs(v.z) < epsilon);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> isCompNull(vec<4, T, Q> const& v, T const& epsilon)
{
return vec<4, bool, Q>(
abs(v.x) < epsilon,
abs(v.y) < epsilon,
abs(v.z) < epsilon,
abs(v.w) < epsilon);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER bool areOrthonormal(vec<L, T, Q> const& v0, vec<L, T, Q> const& v1, T const& epsilon)
{
return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
}
}//namespace glm
|