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
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
|
/********************************************************************************
* *
* S i n g l e - P r e c i s i o n 2 x 2 M a t r i x *
* *
*********************************************************************************
* Copyright (C) 2003,2022 by Jeroen van der Zijp. All Rights Reserved. *
*********************************************************************************
* This library is free software; you can redistribute it and/or modify *
* it under the terms of the GNU Lesser General Public License as published by *
* the Free Software Foundation; either version 3 of the License, or *
* (at your option) any later version. *
* *
* This library is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public License *
* along with this program. If not, see <http://www.gnu.org/licenses/> *
********************************************************************************/
#ifndef FXMAT2F_H
#define FXMAT2F_H
namespace FX {
class FXMat3f;
/// Single-precision 2x2 matrix
class FXAPI FXMat2f {
protected:
FXVec2f m[2];
public:
/// Default constructor; value is not initialized
FXMat2f(){}
/// Initialize matrix from scalar
FXMat2f(FXfloat s);
/// Initialize matrix from another matrix
FXMat2f(const FXMat2f& s);
/// Initialize from rotation and scaling part of 3x3 matrix
FXMat2f(const FXMat3f& s);
/// Initialize matrix from array
FXMat2f(const FXfloat s[]);
/// Initialize diagonal matrix
FXMat2f(FXfloat a,FXfloat b);
/// Initialize matrix from components
FXMat2f(FXfloat a00,FXfloat a01,FXfloat a10,FXfloat a11);
/// Initialize matrix from three vectors
FXMat2f(const FXVec2f& a,const FXVec2f& b);
/// Assignment from scalar
FXMat2f& operator=(FXfloat s);
/// Assignment
FXMat2f& operator=(const FXMat2f& s);
FXMat2f& operator=(const FXMat3f& s);
/// Assignment from array
FXMat2f& operator=(const FXfloat s[]);
/// Set value from scalar
FXMat2f& set(FXfloat s);
/// Set value from another matrix
FXMat2f& set(const FXMat2f& s);
/// Set from rotation and scaling part of 3x3 matrix
FXMat2f& set(const FXMat3f& s);
/// Set value from array
FXMat2f& set(const FXfloat s[]);
/// Set diagonal matrix
FXMat2f& set(FXfloat a,FXfloat b);
/// Set value from components
FXMat2f& set(FXfloat a00,FXfloat a01,FXfloat a10,FXfloat a11);
/// Set value from two vectors
FXMat2f& set(const FXVec2f& a,const FXVec2f& b);
/// Assignment operators
FXMat2f& operator+=(const FXMat2f& s);
FXMat2f& operator-=(const FXMat2f& s);
FXMat2f& operator*=(const FXMat2f& s);
FXMat2f& operator*=(FXfloat s);
FXMat2f& operator/=(FXfloat s);
/// Indexing
FXVec2f& operator[](FXint i){return m[i];}
const FXVec2f& operator[](FXint i) const {return m[i];}
/// Conversion
operator FXfloat*(){return m[0];}
operator const FXfloat*() const {return m[0];}
/// Unary minus
FXMat2f operator-() const;
/// Set to identity matrix
FXMat2f& identity();
/// Return true if identity matrix
FXbool isIdentity() const;
/// Multiply by rotation of phi
FXMat2f& rot(FXfloat c,FXfloat s);
FXMat2f& rot(FXfloat phi);
/// Multiply by scaling
FXMat2f& scale(FXfloat sx,FXfloat sy);
FXMat2f& scale(FXfloat s);
/// Determinant
FXfloat det() const;
/// Transpose
FXMat2f transpose() const;
/// Invert
FXMat2f invert() const;
/// Destructor
~FXMat2f(){}
};
/// Matrix times vector
extern FXAPI FXVec2f operator*(const FXMat2f& m,const FXVec2f& v);
/// Vector times matrix
extern FXAPI FXVec2f operator*(const FXVec2f& v,const FXMat2f& m);
/// Matrix and matrix addition
extern FXAPI FXMat2f operator+(const FXMat2f& a,const FXMat2f& b);
extern FXAPI FXMat2f operator-(const FXMat2f& a,const FXMat2f& b);
/// Matrix and matrix multiply
extern FXAPI FXMat2f operator*(const FXMat2f& a,const FXMat2f& b);
/// Scaling
extern FXAPI FXMat2f operator*(FXfloat x,const FXMat2f& a);
extern FXAPI FXMat2f operator*(const FXMat2f& a,FXfloat x);
extern FXAPI FXMat2f operator/(const FXMat2f& a,FXfloat x);
extern FXAPI FXMat2f operator/(FXfloat x,const FXMat2f& a);
/// Equality tests
extern FXAPI FXbool operator==(const FXMat2f& a,const FXMat2f& b);
extern FXAPI FXbool operator!=(const FXMat2f& a,const FXMat2f& b);
extern FXAPI FXbool operator==(const FXMat2f& a,FXfloat n);
extern FXAPI FXbool operator!=(const FXMat2f& a,FXfloat n);
extern FXAPI FXbool operator==(FXfloat n,const FXMat2f& a);
extern FXAPI FXbool operator!=(FXfloat n,const FXMat2f& a);
/// Orthogonalize matrix
extern FXAPI FXMat2f orthogonalize(const FXMat2f& m);
/// Save matrix to a stream
extern FXAPI FXStream& operator<<(FXStream& store,const FXMat2f& m);
/// Load matrix from a stream
extern FXAPI FXStream& operator>>(FXStream& store,FXMat2f& m);
}
#endif
|
