# Unigine::Math::mat3 Struct

This class represents a matrix of nine (3x3) float components.

## mat3 ( ) #

Default constructor. Produces an identity matrix.

## mat3 ( float v ) #

Constructor. Initializes the matrix using a given scalar value.
Source code (UnigineScript)
``````mat3(2.0);

/* Creates a matrix
| 2.0 	2.0		2.0	|
| 2.0 	2.0		2.0	|
| 2.0 	2.0		2.0	|
*/``````

### Arguments

• float v - Scalar value.

## mat3 ( const mat3& m ) #

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

### Arguments

• const mat3& m - Source matrix.

## mat3 ( 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 |
M=  | m10    m11      0.0f |
| 0.0f   0.0f     1.0f |``````

### Arguments

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

## mat3 ( const mat4& m ) #

Constructor. Initializes the matrix using a given mat4 source matrix (4x4). The matrix elements are filled using corresponding elements of the source matrix.

### Arguments

• const mat4& m - Source matrix (4x4).

## mat3 ( 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).

## mat3 ( const vec3& c0, const vec3& c1, const vec3& c2 ) #

Constructor. Initializes the matrix using given three vec3 vectors.
Output
``````Resulting matrix:
| col0.x  	 col1.x	  	col2.x |
M=  | col0.y   	 col1.y     col2.y |
| col0.z   	 col1.z     col2.z |``````

### Arguments

• const vec3& c0 - Source vector for the first column.
• const vec3& c1 - Source vector for the second column
• const vec3& c2 - Source vector for the third column

## mat3 ( 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     |
M=  | 2xy - 2wz        1 - 2x² - 2z²    2yz + 2wx     |
| 2xz + 2wy        2yz - 2wx        1 - 2x² - 2y² |``````

### Arguments

• const quat& q - Source quaternion.

## mat3 ( float v, ConstexprTag ) #

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

### Arguments

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

## mat3 ( float m00_, float m10_, float m20_, float m01_, float m11_, float m21_, float m02_, float m12_, float m22_, ConstexprTag ) #

Constructor. Initializes the matrix with given constant float values.
Output
``````Resulting matrix:
| m00_	 m01_	m02_ |
M=  | m10_   m11_   m12_ |
| m20_   m21_   m22_ |``````

### Arguments

• float m00_ - m00_ element.
• float m10_ - m10_ element.
• float m20_ - m20_ element.
• float m01_ - m01_ element.
• float m11_ - m11_ element.
• float m21_ - m21_ element.
• float m02_ - m02_ element.
• float m12_ - m12_ element.
• float m22_ - m22_ element.
• ConstexprTag - Auxiliary tag.

## mat3 ( const mat3x3_values& m ) #

Constructor. Initializes the matrix using a given source matrix values.

## voidset ( 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.

## voidset ( const dmat4& m ) #

Sets the matrix using a given dmat4 source matrix (3x4). The matrix elements are set equal to corresponding elements of the source matrix.

### Arguments

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

## voidset ( const mat4& m ) #

Sets the matrix using a given mat4 source matrix (4x4). The matrix elements are set equal to corresponding elements of the source matrix.

### Arguments

• const mat4& m - Source matrix (4x4).

## voidset ( const mat3x3_values& m ) #

Sets the matrix using the argument float values.

## voidset ( const quat& q ) #

Sets 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     |
M=  | 2xy - 2wz        1 - 2x² - 2z²    2yz + 2wx     |
| 2xz + 2wy        2yz - 2wx        1 - 2x² - 2y² |``````

### Arguments

• const quat& q - Source quaternion.

## voidset ( const mat3& m ) #

Sets the matrix equal to the specified source matrix.

### Arguments

• const mat3& m - Source matrix.

## voidset ( 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 |
M=  | m10    m11      0.0f |
| 0.0f   0.0f     1.0f |``````

### Arguments

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

## voidget ( mat3x3_values& m ) const#

Returns the matrix values by filling the specified argument.

### Arguments

• mat3x3_values& m - The destination value to store matrix float values.

## mat4x3_values &get ( ) #

Returns the value storing matrix float values.

### Return value

The value storing matrix float values.

## const mat4x3_values &get ( ) const#

Returns the constant value storing matrix float values.

### Return value

The constant value storing matrix float values.

## float &get ( int row, int column ) #

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

### Arguments

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

### Return value

Matrix element reference.

## floatget ( 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.

## voidsetColumn ( int column, const vec3& v ) #

Sets the specified column of the matrix using a given vec3 vector as a source.

### Arguments

• int column - Column.
• const vec3& v - Source vector.

## vec3getColumn ( int column ) const#

Returns the specified matrix column.

### Arguments

• int column - Column.

### Return value

The vec3 vector with column values.

## voidsetDiagonal ( const vec3& v ) #

Sets the main diagonal of the matrix using a given vec3 vector as a source.

### Arguments

• const vec3& v - Source vector.

## vec3getDiagonal ( ) const#

Returns the main diagonal of the matrix.

### Return value

The vec3 vector with the elements of the main diagonal.

## voidsetIdentity ( ) #

Sets the matrix equal to the identity matrix.

## quatgetQuat ( ) const#

Returns the quaternion of the matrix values.

Quaternion.

## voidsetRotate ( 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.

## voidsetRotateX ( float angle ) #

Sets X rotation matrix.

### Arguments

• float angle - Rotation angle, in degrees.

## voidsetRotateY ( float angle ) #

Sets Y rotation matrix.

### Arguments

• float angle - Rotation angle, in degrees.

## voidsetRotateZ ( float angle ) #

Sets Z rotation matrix.

### Arguments

• float angle - Rotation angle, in degrees.

## voidsetRow ( int row, const vec3& v ) #

Sets the specified row of the matrix using a given vec3 vector as a source.

### Arguments

• int row - Row.
• const vec3& v - Source vector.

## vec3getRow ( int row ) const#

Returns the specified matrix row.

### Arguments

• int row - Row.

### Return value

The vec3 vector with column values.

## voidsetScale ( const vec3& v ) #

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

### Arguments

• const vec3& v - Source vector.

## voidsetSkewSymmetric ( const vec3& v ) #

Fills the skew-symmetric matrix using a given vec3 source vector.
Output
``````Skew-symmetric matrix:
| 0.0f   	-v.z	   v.y |
S=  | v.z       0.0f      -v.x |
| -v.y      v.x       0.0f |``````

### Arguments

• const vec3& v - Source vector.

## voidsetZero ( ) #

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 *.

## mat3 &operator*= ( float v ) #

Performs scalar multiplication.

### Arguments

• float v - Scalar value.

### Return value

Resulting matrix.

## mat3 &operator*= ( const mat3& m ) #

Performs matrix multiplication.

### Arguments

• const mat3& m - Matrix.

### Return value

Resulting matrix.

## mat3 &operator+= ( const mat3& m ) #

### Arguments

• const mat3& m - Matrix.

### Return value

Resulting matrix.

## mat3operator- ( ) const#

Performs matrix negation.

### Return value

Resulting matrix.

## mat3 &operator-= ( const mat3& m ) #

Performs matrix subtraction.

### Arguments

• const mat3& m - mat3 matrix.

### Return value

Resulting matrix.

## mat3 &operator= ( const mat3& m ) #

Performs matrix assignment. Destination matrix = Source matrix.

### Arguments

• const mat3& m - Source matrix

Result.

## floatoperator[] ( int i ) const#

### Arguments

• int i - Matrix item index.

Matrix item.

## 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.

## vec3getAxisX ( ) const#

Returns the normalized vector representing the X axis. Call this method to get the right or left vector of the matrix:
Source code (C++)
``````matrix.getAxisX(); // the left vector
-matrix.getAxisX(); // the right vector``````

### Return value

Vector representing the X axis.

## vec3getAxisY ( ) const#

Returns the normalized vector representing the Y axis. Call this method to get the back or forward vector of the matrix:
Source code (C++)
``````matrix.getAxisY(); // the back vector
-matrix.getAxisY(); // the forward vector``````

### Return value

Vector representing the Y axis.

## vec3getAxisZ ( ) const#

Returns the normalized vector representing the Z axis. Call this method to get the up or down vector of the matrix:
Source code (C++)
``````matrix.getAxisZ(); // the up vector
-matrix.getAxisZ(); // the down vector``````

### Return value

Vector representing the Z axis.

## floattrace ( ) const#

Returns the trace of the matrix.

### Return value

Trace of the matrix.

## floatdeterminant ( ) const#

Returns the determinant of the matrix.

### Return value

Determinant of the matrix.
Last update: 2024-04-19