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Unigine::Math::mat4 Struct

Header: #include <UnigineMathLibMat4.h>

This class represents a matrix of sixteen (4x4) float components.

mat4 Class

Members


mat4 ( ) #

Default constructor. Produces an identity matrix.

mat4 ( float v ) #

Constructor. Initializes the matrix using a given scalar value.
Source code (UnigineScript)
mat4(2.0);
						
/* Creates a matrix						
| 2.0 	2.0 	2.0		2.0	|
| 2.0 	2.0 	2.0		2.0	|
| 2.0 	2.0 	2.0		2.0	|
| 2.0 	2.0 	2.0		2.0	|						
*/

Arguments

  • float v - Scalar value.

mat4 ( const mat3& m ) #

Constructor. Initializes the matrix using a given mat3 source matrix (3x3). The matrix elements are filled using corresponding elements of the source matrix.
Output
Resulting matrix: 
    | m00  	 m01  	 m02	  0.0f | 
M=  | m10    m11  	 m12      0.0f |
    | m20    m21     m22      0.0f |
    | 0.0f   0.0f    0.0f     1.0f |

Arguments

  • const mat3& m - Source matrix (3x3).

mat4 ( const mat4& m ) #

Constructor. Initializes the matrix by copying a given source matrix.

Arguments

  • const mat4& m - Source matrix.

explicit mat4 ( const dmat4& m ) #

Constructor. Initializes the matrix using a given dmat4 source matrix (3x4). The matrix elements are filled using corresponding elements of the source matrix.

Arguments

  • const dmat4& m - Source matrix (3x4).

mat4 ( const vec4& c0, const vec4& c1, const vec4& c2, const vec4& c3 ) #

Constructor. Initializes the matrix using given three vec4 vectors.
Output
Resulting matrix: 
    | col0.x  	 col1.x	  	col2.x	   col3.x | 
M=  | col0.y   	 col1.y	  	col2.y     col3.y |
    | col0.z   	 col1.z	  	col2.z     col3.z |
	| col0.w   	 col1.w	  	col2.w     col3.w |

Arguments

  • const vec4& c0 - Source vector for the first column.
  • const vec4& c1 - Source vector for the second column.
  • const vec4& c2 - Source vector for the third column.
  • const vec4& c3 - Source vector for the fourth column.

explicit mat4 ( const quat& q ) #

Constructor. Initializes the matrix using a given source quaternion.
Output
For the quaternion (x, y, z, w) the corresponding rotation matrix M is defined as follows:		
    | 1 - 2y² - 2z²    2xy + 2wz      	2xz - 2wy     	0.0f | 
M=  | 2xy - 2wz        1 - 2x² - 2z²    2yz + 2wx     	0.0f |
    | 2xz + 2wy        2yz - 2wx        1 - 2x² - 2y² 	0.0f |
    |  0.0f            0.0f        		0.0f 			1.0f |

Arguments

  • const quat& q - Source quaternion.

mat4 ( const mat3& m, const vec3& v ) #

Constructor. Initializes the matrix using a given source mat3 matrix (3x3) and a vec3 vector.

Arguments

  • const mat3& m - Source matrix (3x3).
  • const vec3& v - Source vector.

mat4 ( const quat& q, const vec3& v ) #

Constructor. Initializes the matrix using a given quaternion and a vec3 vector.

Arguments

  • const quat& q - Source quaternion.
  • const vec3& v - Source vector.

explicit mat4 ( const float* m, int transpose ) #

Constructor. Initializes the matrix using a given pointer to the source matrix.

Arguments

  • const float* m - Pointer to the source matrix.
  • int transpose - If transpose is 0 (by default), the matrix is specified in the column major style.

void set ( int row, int column, float v ) #

Sets a new value of the matrix element specified by row and column.

Arguments

  • int row - Row.
  • int column - Column.
  • float v - The value to be set.

mat4 ( const mat2& m ) #

Constructor. Initializes the matrix using a given mat2 source matrix (2x2). The matrix elements are filled using corresponding elements of the source matrix.
Output
Resulting matrix: 
    | m00  	 m01  	 0.0f	  0.0f | 
M=  | m10    m11  	 0.0f     0.0f |
    | 0.0f   0.0f    1.0f     0.0f |
    | 0.0f   0.0f    0.0f     1.0f |

Arguments

  • const mat2& m - Source matrix (2x2).

mat4 ( const float* m ) #

Constructor. Initializes the matrix using a given pointer to the array of float elements.
Output
Resulting matrix: 
    | m[0]   m[4]  	 m[8]  | 
M=  | m[1]   m[5] 	 m[9]  |
    | m[2]   m[6]    m[10] |
    | m[3]   m[7]    m[11] |

Arguments

  • const float* m - Pointer to the array of float elements.

mat4 ( float m00_, float m10_, float m20_, float m30_, float m01_, float m11_, float m21_, float m31_, float m02_, float m12_, float m22_, float m32_, float m03_, float m13_, float m23_, float m33_ ) #

Constructor. Initializes the matrix using a given float values.
Output
Resulting matrix: 
    | m00_  m01_  	m02_	 m03_ | 
M=  | m10_  m11_  	m12_     m13_ |
    | m20_  m21_    m22_     m23_ |
    | m30_  m31_    m32_     m33_ |

Arguments

  • float m00_ - m00_ element.
  • float m10_ - m10_ element.
  • float m20_ - m20_ element.
  • float m30_ - m30_ element.
  • float m01_ - m01_ element.
  • float m11_ - m11_ element.
  • float m21_ - m21_ element.
  • float m31_ - m31_ element.
  • float m02_ - m02_ element.
  • float m12_ - m12_ element.
  • float m22_ - m22_ element.
  • float m32_ - m32_ element.
  • float m03_ - m03_ element.
  • float m13_ - m13_ element.
  • float m23_ - m23_ element.
  • float m33_ - m33_ element.

mat4 ( float m00_, float m10_, float m20_, float m30_, float m01_, float m11_, float m21_, float m31_, float m02_, float m12_, float m22_, float m32_, float m03_, float m13_, float m23_, float m33_, ConstexprTag ) #

Constructor. Initializes the matrix using a given constant float values.
Output
Resulting matrix: 
    | m00_  m01_  	m02_	 m03_ | 
M=  | m10_  m11_  	m12_     m13_ |
    | m20_  m21_    m22_     m23_ |
    | m30_  m31_    m32_     m33_ |

Arguments

  • float m00_ - m00_ element.
  • float m10_ - m10_ element.
  • float m20_ - m20_ element.
  • float m30_ - m30_ element.
  • float m01_ - m01_ element.
  • float m11_ - m11_ element.
  • float m21_ - m21_ element.
  • float m31_ - m31_ element.
  • float m02_ - m02_ element.
  • float m12_ - m12_ element.
  • float m22_ - m22_ element.
  • float m32_ - m32_ element.
  • float m03_ - m03_ element.
  • float m13_ - m13_ element.
  • float m23_ - m23_ element.
  • float m33_ - m33_ element.
  • ConstexprTag - Auxiliary tag.

mat4 ( float v, ConstexprTag ) #

Constructor. Initializes the matrix using a given constant float value.
Output
Resulting matrix: 
    | v   v   v   v| 
M=  | v   v   v   v|
    | v   v   v   v|
    | v   v   v   v|

Arguments

  • float v - Value.
  • ConstexprTag - Auxiliary tag.

void set ( const float* m, int transpose ) #

Sets new matrix values using a pointer to the source matrix.

Arguments

  • const float* m - Pointer to the source matrix.
  • int transpose - If transpose is 0 (by default), the matrix is specified in the column major style.

void set ( const mat2& m ) #

Sets new matrix values using a given mat2 source matrix (2x2). The matrix elements are filled using corresponding elements of the source matrix.
Output
Resulting matrix: 
    | m00  	 m01  	 0.0f	  0.0f | 
M=  | m10    m11  	 0.0f     0.0f |
    | 0.0f   0.0f    1.0f     0.0f |
    | 0.0f   0.0f    0.0f     1.0f |

Arguments

  • const mat2& m - Source matrix (2x2).

void set ( const mat3& m, const vec3& v ) #

Sets new matrix values using a given source mat3 matrix (3x3) and a vec3 vector.

Arguments

  • const mat3& m - Source matrix (3x3).
  • const vec3& v - Source vector.

void set ( const quat& q, const vec3& v ) #

Sets new matrix values using a given quaternion and a vec3 vector.

Arguments

  • const quat& q - Source quaternion.
  • const vec3& v - Source vector.

void set ( const mat3& m ) #

Sets new matrix values using a given mat3 source matrix (3x3). The matrix elements are filled using corresponding elements of the source matrix.
Output
Resulting matrix: 
    | m00  	 m01  	 m02	  0.0f | 
M=  | m10    m11  	 m12      0.0f |
    | m20    m21     m22      0.0f |
    | 0.0f   0.0f    0.0f     1.0f |

Arguments

  • const mat3& m - Source matrix (3x3).

void set ( const quat& q ) #

Sets new matrix values using a given source quaternion.

Arguments

  • const quat& q - Source quaternion.

void set ( const mat4& m ) #

Sets the matrix equal to the specified source matrix.

Arguments

  • const mat4& m - Source matrix.

void set ( const dmat4& m ) #

Sets new matrix values using a given dmat4 source matrix (3x4). The matrix elements are filled using corresponding elements of the source matrix.

Arguments

  • const dmat4& m - Source matrix (3x4).

float & get ( int row, int column ) #

Returns the reference to the matrix element specified by given row and column.

Arguments

  • int row - Row.
  • int column - Column.

Return value

Matrix element reference.

float get ( int row, int column ) const#

Returns the value of the matrix element specified by given row and column.

Arguments

  • int row - Row.
  • int column - Column.

Return value

Matrix element value.

void get ( float* m, int transpose ) const#

Fills the destination matrix, specified by the given pointer, with matrix values.

Arguments

  • float* m - Destination matrix pointer.
  • int transpose - If transpose is 0 (by default), the matrix is specified in the column major style.

float * get ( ) #

Returns the pointer to the matrix.

Return value

Pointer to the matrix.

const float * get ( ) const#

Returns the constant pointer to the matrix.

Return value

Constant pointer to the matrix.

void setColumn ( int column, const vec4& v ) #

Sets the specified column of the matrix using a given vec4 vector as a source.

Arguments

  • int column - Column.
  • const vec4& v - Source vector.

vec4 getColumn ( int column ) const#

Returns the specified matrix column.

Arguments

  • int column - Column.

Return value

The vec4 vector with column values.

void setColumn3 ( int column, const vec3& v ) #

Sets the specified column of the matrix using a given three-component vec3 vector as a source, the last element of the column remains as is.

Arguments

  • int column - Column.
  • const vec3& v - Three-component source vector.

vec3 getColumn3 ( int column ) const#

Returns the XYZ components of the specified matrix column.

Arguments

  • int column - Column.

Return value

The vec3 vector with the first three elements of the specified matrix column.

void setDiagonal ( const vec4& v ) #

Sets the main diagonal of the matrix using a given vec4 vector as a source.

Arguments

  • const vec4& v - Source vector.

vec4 getDiagonal ( ) const#

Returns the main diagonal of the matrix.

Return value

The vec4 vector with the element of the main diagonal.

void setIdentity ( ) #

Sets the matrix equal to the identity matrix.

void setRotate ( const vec3& axis, float angle ) #

Sets the rotation matrix for a given axis.

Arguments

  • const vec3& axis - Rotation axis.
  • float angle - Rotation angle, in degrees.

quat getRotate ( ) const#

Returns the quaternion, representing the rotation part of the matrix.

Return value

Matrix rotation part.

void setRotateX ( float angle ) #

Sets X rotation matrix.

Arguments

  • float angle - Rotation angle, in degrees.

void setRotateY ( float angle ) #

Sets Y rotation matrix.

Arguments

  • float angle - Rotation angle, in degrees.

void setRotateZ ( float angle ) #

Set Z rotation matrix.

Arguments

  • float angle - Rotation angle, in degrees.

void setRow ( int row, const vec4& v ) #

Sets the specified row of the matrix using a given vec4 vector as a source.

Arguments

  • int row - Row.
  • const vec4& v - Source vector.

vec4 getRow ( int row ) const#

Returns the specified matrix row.

Arguments

  • int row - Row.

Return value

The vec4 vector with row values.

void setRow3 ( int row, const vec3& v ) #

Sets the specified row of the matrix using a given three-component vec3 vector as a source, the last element of the row remains as is.

Arguments

  • int row - Row.
  • const vec3& v - Three-component source vector.

vec3 getRow3 ( int row ) const#

Returns the first three elements of the specified matrix row.

Arguments

  • int row - Row.

Return value

The vec3 vector with the first three elements of the specified matrix row.

void setScale ( const vec3& v ) #

Fills the scaling matrix using a given vec3 source vector.
Output
Scaling matrix: 
    | v.x   	0.0f  	  0.0f	    0.0f | 
S=  | 0.0f      v.y  	  0.0f      0.0f |
    | 0.0f      0.0f      v.z  		0.0f |
    | 0.0f      0.0f      0.0f  	1.0f |

Arguments

  • const vec3& v - Source vector.

vec3 getScale ( ) const#

Returns the three-component vec3 vector, representing the scaling part of the matrix.

Return value

Three-component vector with the scaling part of the matrix.

void setTranslate ( const vec3& v ) #

Fills the translation matrix using a given vec3 source vector.
Output
Translation matrix: 
    | 1.0f   	0.0f  	  0.0f	    v.x | 
T=  | 0.0f      1.0f  	  0.0f      v.y |
    | 0.0f      0.0f      1.0f  	v.z |
    | 0.0f      0.0f      0.0f     1.0f |

Arguments

  • const vec3& v - Source vector.

vec3 getTranslate ( ) const#

Returns the three-component vec3 vector, representing the translation part of the matrix.

Return value

Three-component vector with the translation part of the matrix.

void setZero ( ) #

Sets all matrix elements equal to 0.

const float * operator const float * ( ) const#

Performs type conversion to const float *.

const void * operator const void * ( ) const#

Performs type conversion to const void *.

float * operator float * ( ) #

Performs type conversion to float *.

void * operator void * ( ) #

Performs type conversion to void *.

mat4 & operator*= ( const mat4& m ) #

Performs matrix multiplication.

Arguments

  • const mat4& m - Matrix.

Return value

Resulting matrix.

mat4 & operator*= ( float v ) #

Performs scalar multiplication.

Arguments

  • float v - Scalar value.

Return value

Resulting matrix.

mat4 & operator+= ( const mat4& m ) #

Performs matrix addition.

Arguments

  • const mat4& m - Matrix.

Return value

Resulting matrix.

mat4 operator- ( ) const#

Performs matrix negation.

mat4 & operator-= ( const mat4& m ) #

Performs matrix subtraction.

Arguments

  • const mat4& m - Matrix.

Return value

Resulting matrix.

mat4 & operator= ( const mat4& m ) #

Performs matrix assignment. Destination matrix = Source matrix.

Arguments

  • const mat4& m - Source matrix.

Return value

Result.

float & operator[] ( int i ) #

Performs array access to the matrix item reference using given item index.

Arguments

  • int i - Matrix item index.

Return value

Matrix item reference.

float operator[] ( int i ) const#

Performs array access to the matrix item using given item index.

Arguments

  • int i - Matrix item index.

Return value

Matrix item.

vec3 getAxisX ( ) const#

Returns the normalized vector representing the X axis.

Return value

Vector representing the X axis.

vec3 getAxisY ( ) const#

Returns the normalized vector representing the Y axis.

Return value

Vector representing the Y axis.

vec3 getAxisZ ( ) const#

Returns the normalized vector representing the Z axis.

Return value

Vector representing the Z axis.

float trace ( ) const#

Returns the trace of the matrix.

Return value

Trace of the matrix.

float determinant ( ) const#

Returns the determinant of the matrix.

Return value

Determinant of the matrix.

float determinant3 ( ) const#

Returns the determinant of the smaller 3x3 matrix of the original matrix.

Return value

Determinant of the smaller 3x3 matrix.
Last update: 2021-08-24
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