Unigine::Math::mat4 Struct

Header:

#include <UnigineMathLibMat4.h>

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

Methods:

Name	Description View: Sort by:
mat4	Default constructor.
set	Sets a new value of the matrix element specified by row and column.
get	Returns the reference to the matrix element specified by given row and column.
setColumn	Sets the specified column of the matrix using a given vec4 vector as a source.
getColumn	Returns the specified matrix column.
setColumn3	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.
getColumn3	Returns the XYZ components of the specified matrix column.
setDiagonal	Sets the main diagonal of the matrix using a given vec4 vector as a source.
getDiagonal	Returns the main diagonal of the matrix.
setIdentity	Sets the matrix equal to the identity matrix.
setRotate	Sets the rotation matrix for a given axis.
getRotate	Returns the quaternion, representing the rotation part of the matrix.
setRotateX	Sets X rotation matrix.
setRotateY	Sets Y rotation matrix.
setRotateZ	Set Z rotation matrix.
setRow	Sets the specified row of the matrix using a given vec4 vector as a source.
getRow	Returns the specified matrix row.
setRow3	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.
getRow3	Returns the first three elements of the specified matrix row.
setScale	Fills the scaling matrix using a given vec3 source vector.
getScale	Returns the three-component vec3 vector, representing the scaling part of the matrix.
setTranslate	Fills the translation matrix using a given vec3 source vector.
getTranslate	Returns the three-component vec3 vector, representing the translation part of the matrix.
setZero	Sets all matrix elements equal to 0.
operator const float *	Performs type conversion to const float *.
operator const void *	Performs type conversion to const void *.
operator float *	Performs type conversion to float *.
operator void *	Performs type conversion to void *.
*operator =**	Performs matrix multiplication.
operator +=	Performs matrix addition.
operator -	Performs matrix negation.
operator -=	Performs matrix subtraction.
operator =	Performs matrix assignment.
operator []	Performs array access to the matrix item reference using given item index.
getAxisX	Returns the normalized vector representing the X axis.
getAxisY	Returns the normalized vector representing the Y axis.
getAxisZ	Returns the normalized vector representing the Z axis.
trace	Returns the trace of the matrix.
determinant	Returns the determinant of the matrix.
determinant3	Returns the determinant of the smaller 3x3 matrix of the original matrix.

Variables:

Name	Description
mat4_identity	Identity matrix.
mat4_one	Matrix of ones.
mat4_zero	Zero matrix.

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.

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

Determinant of the smaller 3x3 matrix.

Last update: 2022-02-04

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