mat2.h
1 /*
2 ** ClanLib SDK
3 ** Copyright (c) 1997-2015 The ClanLib Team
4 **
5 ** This software is provided 'as-is', without any express or implied
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10 ** including commercial applications, and to alter it and redistribute it
11 ** freely, subject to the following restrictions:
12 **
13 ** 1. The origin of this software must not be misrepresented; you must not
14 ** claim that you wrote the original software. If you use this software
15 ** in a product, an acknowledgment in the product documentation would be
16 ** appreciated but is not required.
17 ** 2. Altered source versions must be plainly marked as such, and must not be
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21 ** Note: Some of the libraries ClanLib may link to may have additional
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23 **
24 ** File Author(s):
25 **
26 ** Magnus Norddahl
27 ** Mark Page
28 ** Harry Storbacka
29 */
30 
31 
32 #pragma once
33 
34 #include "../System/cl_platform.h"
35 #include "mat3.h"
36 #include "mat4.h"
37 #include "vec2.h"
38 
39 namespace clan
40 {
43 
44 template<typename Type>
45 class Mat2;
46 
47 template<typename Type>
48 class Mat3;
49 
50 template<typename Type>
51 class Mat4;
52 
53 class Angle;
54 
58 template<typename Type>
59 class Mat2
60 {
63 
64 public:
66  Mat2()
67  {
68  for (auto & elem : matrix)
69  elem = 0;
70  }
72  Mat2(const Mat2<Type> &copy)
73  {
74  for (int i=0; i<4; i++)
75  matrix[i] = copy.matrix[i];
76  }
77 
79  explicit Mat2(const Mat3<Type> &copy);
80 
82  explicit Mat2(const Mat4<Type> &copy);
83 
85  explicit Mat2(const float *init_matrix)
86  {
87  for (int i=0; i<4; i++)
88  matrix[i] = (Type) init_matrix[i];
89  }
90 
92  explicit Mat2(Type m00, Type m01, Type m10, Type m11)
93  {
94  matrix[0 * 2 + 0] = m00; matrix[0 * 2 + 1] = m01;
95  matrix[1 * 2 + 0] = m10; matrix[1 * 2 + 1] = m11;
96  }
97 
99  explicit Mat2(const double *init_matrix)
100  {
101  for (int i=0; i<4; i++)
102  matrix[i] = (Type) init_matrix[i];
103  }
104 
106  explicit Mat2(const int64_t *init_matrix)
107  {
108  for (int i=0; i<4; i++)
109  matrix[i] = (Type) init_matrix[i];
110  }
111 
113  explicit Mat2(const int32_t *init_matrix)
114  {
115  for (int i=0; i<4; i++)
116  matrix[i] = (Type) init_matrix[i];
117  }
118 
120  explicit Mat2(const int16_t *init_matrix)
121  {
122  for (int i=0; i<4; i++)
123  matrix[i] = (Type) init_matrix[i];
124  }
125 
127  explicit Mat2(const int8_t *init_matrix)
128  {
129  for (int i=0; i<4; i++)
130  matrix[i] = (Type) init_matrix[i];
131  }
132 
133  static Mat2<Type> null();
134 
136 
145  static Mat2<Type> multiply(const Mat2<Type> &matrix_1, const Mat2<Type> &matrix_2);
146 
154  static Mat2<Type> add(const Mat2<Type> &matrix_1, const Mat2<Type> &matrix_2);
155 
163  static Mat2<Type> subtract(const Mat2<Type> &matrix_1, const Mat2<Type> &matrix_2);
164 
170  static bool is_equal(const Mat2<Type> &first, const Mat2<Type> &second, Type epsilon)
171  {
172  for (int i=0; i<4; i++)
173  {
174  Type diff = second.matrix[i] - first.matrix[i];
175  if (diff < -epsilon || diff > epsilon) return false;
176  }
177  return true;
178  }
179 
183 
184 public:
185  Type matrix[4];
186 
190 
191 public:
196  bool is_equal(const Mat2<Type> &other, Type epsilon) const { return Mat2<Type>::is_equal(*this, other, epsilon); }
197 
201 
202 public:
204  operator Type const*() const { return matrix; }
205 
207  operator Type *() { return matrix; }
208 
210  Type &operator[](int i) { return matrix[i]; }
211 
213  const Type &operator[](int i) const { return matrix[i]; }
214 
216  Type &operator[](unsigned int i) { return matrix[i]; }
217 
219  const Type &operator[](unsigned int i) const { return matrix[i]; }
220 
222  Mat2<Type> &operator =(const Mat2<Type> &copy) {memcpy(matrix, copy.matrix, sizeof(matrix)); return *this; }
223 
226 
229 
231  Mat2<Type> operator *(const Mat2<Type> &mult) const;
232 
234  Mat2<Type> operator +(const Mat2<Type> &add_matrix) const;
235 
237  Mat2<Type> operator -(const Mat2<Type> &subtract_matrix) const;
238 
240  bool operator==(const Mat2<Type> &other) const
241  {
242  for (int i=0; i<4; i++)
243  if (matrix[i] != other.matrix[i]) return false;
244  return true;
245  }
246 
248  bool operator!=(const Mat2<Type> &other) const { return !((*this) == other); }
249 
253 
254 private:
256 };
257 
258 typedef Mat2<int> Mat2i;
261 
262 }
263 
const Type & operator[](unsigned int i) const
Operator that returns the matrix cell at the given index.
Definition: mat2.h:219
Mat2< float > Mat2f
Definition: mat2.h:259
static Mat2< Type > identity()
Mat2(const Mat2< Type > &copy)
Constructs a 2x2 matrix (copied)
Definition: mat2.h:72
Mat2(const int64_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 64 bit integers)
Definition: mat2.h:106
Mat2(Type m00, Type m01, Type m10, Type m11)
Constructs a 2x2 matrix (copied from specified values)
Definition: mat2.h:92
Mat2(const int32_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 32 bit integers)
Definition: mat2.h:113
Mat2< Type > & operator=(const Mat2< Type > &copy)
Copy assignment operator.
Definition: mat2.h:222
Mat2()
Constructs a 2x2 matrix (zero'ed)
Definition: mat2.h:66
bool operator==(const Mat2< Type > &other) const
Equality operator.
Definition: mat2.h:240
bool is_equal(const Mat2< Type > &other, Type epsilon) const
Returns true if equal within the bounds of an epsilon.
Definition: mat2.h:196
Mat2(const Mat4< Type > &copy)
Constructs a 2x2 matrix (copied from a 4d matrix)
static Mat2< Type > add(const Mat2< Type > &matrix_1, const Mat2< Type > &matrix_2)
Add 2 matrices.
Mat2< Type > operator+(const Mat2< Type > &add_matrix) const
Addition operator.
2D matrix
Definition: mat2.h:45
static bool is_equal(const Mat2< Type > &first, const Mat2< Type > &second, Type epsilon)
Returns true if equal within the bounds of an epsilon.
Definition: mat2.h:170
Angle class.
Definition: angle.h:63
Type matrix[4]
Definition: mat2.h:185
const Type & operator[](int i) const
Operator that returns the matrix cell at the given index.
Definition: mat2.h:213
static Mat2< Type > subtract(const Mat2< Type > &matrix_1, const Mat2< Type > &matrix_2)
Subtract 2 matrices.
Mat2(const Mat3< Type > &copy)
Constructs a 2x2 matrix (copied from a 3d matrix)
Type & operator[](unsigned int i)
Operator that returns the matrix cell at the given index.
Definition: mat2.h:216
Mat2(const int8_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 8 bit integers)
Definition: mat2.h:127
4D matrix
Definition: mat2.h:51
Mat2(const float *init_matrix)
Constructs a 2x2 matrix (copied from 4 floats)
Definition: mat2.h:85
Definition: clanapp.h:36
bool operator!=(const Mat2< Type > &other) const
Not-equal operator.
Definition: mat2.h:248
Mat2< int > Mat2i
Definition: mat2.h:258
Mat2< double > Mat2d
Definition: mat2.h:260
Mat2(const double *init_matrix)
Constructs a 2x2 matrix (copied from 4 doubles)
Definition: mat2.h:99
Mat2(const int16_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 16 bit integers)
Definition: mat2.h:120
3D matrix
Definition: mat2.h:48
static Mat2< Type > multiply(const Mat2< Type > &matrix_1, const Mat2< Type > &matrix_2)
Multiply 2 matrices.
Type & operator[](int i)
Operator that returns the matrix cell at the given index.
Definition: mat2.h:210
Mat2< Type > operator-(const Mat2< Type > &subtract_matrix) const
Subtract operator.
Mat2< Type > operator*(const Mat2< Type > &mult) const
Multiplication operator.