vsg: include/vsg/maths/mat2.h Source File

vsg 1.1.13 VulkanSceneGraph library

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mat2.h
1#pragma once
2
3/* <editor-fold desc="MIT License">
4
5Copyright(c) 2018 Robert Osfield
6
7Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
8
9The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
10
11THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
12
13</editor-fold> */
14
15#include <vsg/maths/vec2.h>
16
17namespace vsg
18{
19
21 template<typename T>
22 struct t_mat2
23 {
24 public:
25 using value_type = T;
26 using column_type = t_vec2<T>;
27
28 column_type value[2];
29
30 constexpr t_mat2() :
31 value{{numbers<value_type>::one(), numbers<value_type>::zero()},
32 {numbers<value_type>::zero(), numbers<value_type>::one()}} {}
33
34 constexpr explicit t_mat2(value_type v) :
35 value{{v, numbers<value_type>::zero()},
36 {numbers<value_type>::zero(), v}} {}
37
38 constexpr t_mat2(value_type v0, value_type v1, /* column 0 */
39 value_type v2, value_type v3) /* column 1 */ :
40 value{{v0, v1},
41 {v2, v3}}
42 {
43 }
44
45 constexpr explicit t_mat2(value_type v[4]) :
46 value{{v[0], v[1]},
47 {v[2], v[3]}} {}
48
49 constexpr t_mat2(const column_type& c0,
50 const column_type& c1) :
51 value{c0, c1}
52 {
53 }
54
55 template<typename R>
56 explicit t_mat2(const t_mat2<R>& rhs)
57 {
58 value[0] = rhs[0];
59 value[1] = rhs[1];
60 }
61
62 constexpr std::size_t size() const { return 4; }
63 constexpr std::size_t columns() const { return 2; }
64 constexpr std::size_t rows() const { return 2; }
65
66 column_type& operator[](std::size_t c) { return value[c]; }
67 const column_type& operator[](std::size_t c) const { return value[c]; }
68
69 value_type& operator()(std::size_t c, std::size_t r) { return value[c][r]; }
70 value_type operator()(std::size_t c, std::size_t r) const { return value[c][r]; }
71
72 template<typename R>
73 t_mat2& operator=(const t_mat2<R>& rhs)
74 {
75 value[0] = rhs[0];
76 value[1] = rhs[1];
77 return *this;
78 }
79
80 void set(value_type v0, value_type v1, /* column 0 */
81 value_type v2, value_type v3) /* column 1 */
82 {
83 value[0].set(v0, v1);
84 value[1].set(v2, v3);
85 }
86
87 template<typename R>
88 void set(const t_mat2<R>& rhs)
89 {
90 value[0] = rhs[0];
91 value[1] = rhs[1];
92 }
93
94 T* data() { return value[0].data(); }
95 const T* data() const { return value[0].data(); }
96 };
97
98 using mat2 = t_mat2<float>;
99 using dmat2 = t_mat2<double>;
100
101 VSG_type_name(vsg::mat2);
102 VSG_type_name(vsg::dmat2);
103
104 template<typename T>
105 bool operator==(const t_mat2<T>& lhs, const t_mat2<T>& rhs)
106 {
107 return lhs.value[0] == rhs.value[0] &&
108 lhs.value[1] == rhs.value[1];
109 }
110
111 template<typename T>
112 bool operator!=(const t_mat2<T>& lhs, const t_mat2<T>& rhs)
113 {
114 return lhs.value[0] != rhs.value[0] ||
115 lhs.value[1] != rhs.value[1];
116 }
117
118 template<typename T>
119 bool operator<(const t_mat2<T>& lhs, const t_mat2<T>& rhs)
120 {
121 if (lhs.value[0] < rhs.value[0]) return true;
122 if (rhs.value[0] < lhs.value[0]) return false;
123 return lhs.value[1] < rhs.value[1];
124 }
125
126 template<typename T>
127 T dot(const t_mat2<T>& lhs, const t_mat2<T>& rhs, int c, int r)
128 {
129 return lhs[0][r] * rhs[c][0] +
130 lhs[1][r] * rhs[c][1];
131 }
132
133 template<typename T>
134 t_mat2<T> operator*(const t_mat2<T>& lhs, const t_mat2<T>& rhs)
135 {
136 return t_mat2<T>(dot(lhs, rhs, 0, 0), dot(lhs, rhs, 0, 1),
137 dot(lhs, rhs, 1, 0), dot(lhs, rhs, 1, 1));
138 }
139
140 template<typename T>
141 t_vec2<T> operator*(const t_mat2<T>& lhs, const t_vec2<T>& rhs)
142 {
143 return t_vec2<T>((lhs[0][0] * rhs[0] + lhs[1][0] * rhs[1]),
144 (lhs[0][1] * rhs[0] + lhs[1][1] * rhs[1]));
145 }
146
147 template<typename T>
148 t_vec2<T> operator*(const t_vec2<T>& lhs, const t_mat2<T>& rhs)
149 {
150 return t_vec2<T>(lhs[0] * rhs[0][0] + lhs[1] * rhs[0][1],
151 lhs[0] * rhs[1][0] + lhs[1] * rhs[1][1]);
152 }
153} // namespace vsg
vsg::t_mat2
t_mat2 template class that represents a 3x3 matrix.
Definition mat2.h:23
vsg::t_vec2
t_vec2 template class that represents a 2D vector
Definition vec2.h:39