mat2.h
1 /*
2 ** ClanLib SDK
3 ** Copyright (c) 1997-2016 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.
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19 ** 3. This notice may not be removed or altered from any source distribution.
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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 #pragma once
32 
33 #include "../System/cl_platform.h"
34 #include "mat3.h"
35 #include "mat4.h"
36 #include "vec2.h"
37 
38 namespace clan
39 {
42 
43  template<typename Type>
44  class Mat2;
45 
46  template<typename Type>
47  class Mat3;
48 
49  template<typename Type>
50  class Mat4;
51 
52  class Angle;
53 
57  template<typename Type>
58  class Mat2
59  {
60  public:
62  Mat2()
63  {
64  for (auto & elem : matrix)
65  elem = 0;
66  }
68  Mat2(const Mat2<Type> &copy)
69  {
70  for (int i = 0; i < 4; i++)
71  matrix[i] = copy.matrix[i];
72  }
73 
75  explicit Mat2(const Mat3<Type> &copy);
76 
78  explicit Mat2(const Mat4<Type> &copy);
79 
81  explicit Mat2(const float *init_matrix)
82  {
83  for (int i = 0; i < 4; i++)
84  matrix[i] = (Type)init_matrix[i];
85  }
86 
88  explicit Mat2(Type m00, Type m01, Type m10, Type m11)
89  {
90  matrix[0 * 2 + 0] = m00; matrix[0 * 2 + 1] = m01;
91  matrix[1 * 2 + 0] = m10; matrix[1 * 2 + 1] = m11;
92  }
93 
95  explicit Mat2(const double *init_matrix)
96  {
97  for (int i = 0; i < 4; i++)
98  matrix[i] = (Type)init_matrix[i];
99  }
100 
102  explicit Mat2(const int64_t *init_matrix)
103  {
104  for (int i = 0; i < 4; i++)
105  matrix[i] = (Type)init_matrix[i];
106  }
107 
109  explicit Mat2(const int32_t *init_matrix)
110  {
111  for (int i = 0; i < 4; i++)
112  matrix[i] = (Type)init_matrix[i];
113  }
114 
116  explicit Mat2(const int16_t *init_matrix)
117  {
118  for (int i = 0; i < 4; i++)
119  matrix[i] = (Type)init_matrix[i];
120  }
121 
123  explicit Mat2(const int8_t *init_matrix)
124  {
125  for (int i = 0; i < 4; i++)
126  matrix[i] = (Type)init_matrix[i];
127  }
128 
129  static Mat2<Type> null();
130 
131  static Mat2<Type> identity();
132 
141  static Mat2<Type> multiply(const Mat2<Type> &matrix_1, const Mat2<Type> &matrix_2);
142 
150  static Mat2<Type> add(const Mat2<Type> &matrix_1, const Mat2<Type> &matrix_2);
151 
159  static Mat2<Type> subtract(const Mat2<Type> &matrix_1, const Mat2<Type> &matrix_2);
160 
166  static bool is_equal(const Mat2<Type> &first, const Mat2<Type> &second, Type epsilon)
167  {
168  for (int i = 0; i < 4; i++)
169  {
170  Type diff = second.matrix[i] - first.matrix[i];
171  if (diff < -epsilon || diff > epsilon) return false;
172  }
173  return true;
174  }
175 
177  Type matrix[4];
178 
183  bool is_equal(const Mat2<Type> &other, Type epsilon) const { return Mat2<Type>::is_equal(*this, other, epsilon); }
184 
186  operator Type const*() const { return matrix; }
187 
189  operator Type *() { return matrix; }
190 
192  Type &operator[](int i) { return matrix[i]; }
193 
195  const Type &operator[](int i) const { return matrix[i]; }
196 
198  Type &operator[](unsigned int i) { return matrix[i]; }
199 
201  const Type &operator[](unsigned int i) const { return matrix[i]; }
202 
204  Mat2<Type> &operator =(const Mat2<Type> &copy) { memcpy(matrix, copy.matrix, sizeof(matrix)); return *this; }
205 
207  Mat2<Type> &operator =(const Mat4<Type> &copy);
208 
210  Mat2<Type> &operator =(const Mat3<Type> &copy);
211 
213  Mat2<Type> operator *(const Mat2<Type> &mult) const;
214 
216  Mat2<Type> operator +(const Mat2<Type> &add_matrix) const;
217 
219  Mat2<Type> operator -(const Mat2<Type> &subtract_matrix) const;
220 
222  bool operator==(const Mat2<Type> &other) const
223  {
224  for (int i = 0; i < 4; i++)
225  if (matrix[i] != other.matrix[i]) return false;
226  return true;
227  }
228 
230  bool operator!=(const Mat2<Type> &other) const { return !((*this) == other); }
231  };
232 
233  typedef Mat2<int> Mat2i;
236 
238 }
Mat2(Type m00, Type m01, Type m10, Type m11)
Constructs a 2x2 matrix (copied from specified values)
Definition: mat2.h:88
Mat2< float > Mat2f
Definition: mat2.h:234
bool is_equal(const Mat2< Type > &other, Type epsilon) const
Returns true if equal within the bounds of an epsilon.
Definition: mat2.h:183
Definition: clanapp.h:35
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:166
Mat2< double > Mat2d
Definition: mat2.h:235
Angle class.
Definition: angle.h:59
Mat2(const int8_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 8 bit integers)
Definition: mat2.h:123
static Mat2< Type > subtract(const Mat2< Type > &matrix_1, const Mat2< Type > &matrix_2)
Subtract 2 matrices.
Mat2< Type > operator*(const Mat2< Type > &mult) const
Multiplication operator.
Mat2(const float *init_matrix)
Constructs a 2x2 matrix (copied from 4 floats)
Definition: mat2.h:81
3D matrix
Definition: mat2.h:47
Mat2(const int32_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 32 bit integers)
Definition: mat2.h:109
static Mat2< Type > add(const Mat2< Type > &matrix_1, const Mat2< Type > &matrix_2)
Add 2 matrices.
const Type & operator[](unsigned int i) const
Operator that returns the matrix cell at the given index.
Definition: mat2.h:201
Type matrix[4]
The matrix (in column-major format)
Definition: mat2.h:177
4D matrix
Definition: mat2.h:50
2D matrix
Definition: mat2.h:44
static Mat2< Type > null()
Mat2< Type > operator+(const Mat2< Type > &add_matrix) const
Addition operator.
Mat2(const double *init_matrix)
Constructs a 2x2 matrix (copied from 4 doubles)
Definition: mat2.h:95
Mat2< Type > operator-(const Mat2< Type > &subtract_matrix) const
Subtract operator.
Mat2< int > Mat2i
Definition: mat2.h:233
Mat2(const int64_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 64 bit integers)
Definition: mat2.h:102
bool operator!=(const Mat2< Type > &other) const
Not-equal operator.
Definition: mat2.h:230
static Mat2< Type > identity()
static Mat2< Type > multiply(const Mat2< Type > &matrix_1, const Mat2< Type > &matrix_2)
Multiply 2 matrices.
Mat2()
Constructs a 2x2 matrix (zero'ed)
Definition: mat2.h:62
bool operator==(const Mat2< Type > &other) const
Equality operator.
Definition: mat2.h:222
Type & operator[](int i)
Operator that returns the matrix cell at the given index.
Definition: mat2.h:192
Mat2< Type > & operator=(const Mat2< Type > &copy)
Copy assignment operator.
Definition: mat2.h:204
Mat2(const int16_t *init_matrix)
Constructs a 2x2 matrix (copied from 4, 16 bit integers)
Definition: mat2.h:116
Mat2(const Mat2< Type > &copy)
Constructs a 2x2 matrix (copied)
Definition: mat2.h:68
const Type & operator[](int i) const
Operator that returns the matrix cell at the given index.
Definition: mat2.h:195
Type & operator[](unsigned int i)
Operator that returns the matrix cell at the given index.
Definition: mat2.h:198