# Unigine::Math::dmat4 Struct

This class represents a matrix of twelve (3x4) double components.

The dmat4 matrix is used for world transformations only (translation, scaling, rotation). This matrix isn't used for 3D projection, so its last row is skipped (that's why its size is 3x4 not 4x4). It allows avoiding high memory usage and performance loss when using the double precision coordinates.

The first, the second and the third columns of the matrix represent the rotation and the scale of the origin. The last column contains the translation of the origin relatively to the world origin.

For any other purposes, the mat4 matrix can be used.

## dmat4 ( const dvec3& c0, const dvec3& c1, const dvec3& c2, const dvec3& c3 ) #

Constructor. Initializes the matrix using given three dvec3 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 |``````

### Arguments

• const dvec3& c0 - Source vector for the first column.
• const dvec3& c1 - Source vector for the second column.
• const dvec3& c2 - Source vector for the third column.
• const dvec3& c3 - Source vector for the fourth column.

## dmat4 ( const quat& q, const dvec3& v ) #

Constructor. Initializes the matrix using a given quaternion and a dvec3 vector.

### Arguments

• const quat& q - Source quaternion.
• const dvec3& v - Source vector.

## dmat4 ( const mat3& m, const dvec3& v ) #

Constructor. Initializes the matrix using a given source mat3 matrix (3x3) and a dvec3 vector.

### Arguments

• const mat3& m - Source matrix (3x3).
• const dvec3& v - Source vector.

## dmat4 ( 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 |``````

### Arguments

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

## dmat4 ( 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 |``````

### Arguments

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

## dmat4 ( double v ) #

Constructor. Initializes the matrix using a given scalar value.
Source code (UnigineScript)
``````dmat4(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	|
*/``````

### Arguments

• double v - Scalar value.

## dmat4 ( const dmat4& m ) #

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

### Arguments

• const dmat4& m - Source matrix.

## dmat4 ( ) #

Default constructor. Produces an identity matrix.

## explicit dmat4 ( const mat4& m ) #

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

### Arguments

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

## explicit dmat4 ( const quat& q ) #

Constructor. Initializes the matrix using a given source quaternion.

### Arguments

• const quat& q - Source quaternion.

## dmat4 ( const dmat4x4_values& m, int transposed ) #

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

### Arguments

• const dmat4x4_values& m - The source value storing matrix double values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## dmat4 ( const mat4x4_values& m, int transposed ) #

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

### Arguments

• const mat4x4_values& m - The source value storing matrix float values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## dmat4 ( const dmat4x3_values& m, int transposed ) #

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

### Arguments

• const dmat4x3_values& m - The source value storing matrix double values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## dmat4 ( const mat4x3_values& m, int transposed ) #

Constructor. Initializes the matrix with double values using the given source matrix float values.

### Arguments

• const mat4x3_values& m - The source value storing matrix float values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## dmat4 ( double m00_, double m10_, double m20_, double m01_, double m11_, double m21_, double m02_, double m12_, double m22_, double m03_, double m13_, double m23_ ) #

Constructor. Initializes the matrix using given double elements.
Output
``````Resulting matrix:
| m00  	 m01  	 m02	 m03 |
M=  | m10    m11  	 m12     m13 |
| m20    m21     m22     m23 |``````

### Arguments

• double m00_ - 00 element.
• double m10_ - 10 element.
• double m20_ - 20 element.
• double m01_ - 01 element.
• double m11_ - 11 element.
• double m21_ - 21 element.
• double m02_ - 02 element.
• double m12_ - 12 element.
• double m22_ - 22 element.
• double m03_ - 03 element.
• double m13_ - 13 element.
• double m23_ - 23 element.

## dmat4 ( double v, ConstexprTag ) #

Constructor. Initializes every element of the matrix with the given double element.
Output
``````Resulting matrix:
| v    v 	v   v |
M=  | v    v  	v   v |
| v    v    v   v |``````

### Arguments

• double v - Element to pave the matrix with.
• ConstexprTag - Auxiliary tag.

## dmat4 ( double m00_, double m10_, double m20_, double m01_, double m11_, double m21_, double m02_, double m12_, double m22_, double m03_, double m13_, double m23_, ConstexprTag ) #

Constructor. Initializes the matrix using given double elements.
Output
``````Resulting matrix:
| m00  	 m01  	 m02	 m03 |
M=  | m10    m11  	 m12     m13 |
| m20    m21     m22     m23 |``````

### Arguments

• double m00_ - 00 element.
• double m10_ - 10 element.
• double m20_ - 20 element.
• double m01_ - 01 element.
• double m11_ - 11 element.
• double m21_ - 21 element.
• double m02_ - 02 element.
• double m12_ - 12 element.
• double m22_ - 22 element.
• double m03_ - 03 element.
• double m13_ - 13 element.
• double m23_ - 23 element.
• ConstexprTag - Auxiliary tag.

## voidset ( int row, int column, double v ) #

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

### Arguments

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

## voidset ( const mat4x4_values& m, int transposed ) #

Sets the matrix using the argument with float values.

### Arguments

• const mat4x4_values& m - The source value storing matrix float values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## voidset ( const dmat4x4_values& m, int transposed ) #

Sets the matrix with using the argument with double values.

### Arguments

• const dmat4x4_values& m - The source value storing matrix double values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## voidset ( const mat4x3_values& m, int transposed ) #

Sets the matrix using the argument with float values.

### Arguments

• const mat4x3_values& m - The source value storing matrix float values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## voidset ( const dmat4x3_values& m, int transposed ) #

Sets the matrix using the argument with double values.

### Arguments

• const dmat4x3_values& m - The source value storing matrix double values.
• int transposed - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## 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.

### Arguments

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

## voidset ( 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.

### Arguments

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

## voidset ( const quat& q, const dvec3& v ) #

Sets new matrix values using a given quaternion and a dvec3 vector.

### Arguments

• const quat& q - Source quaternion.
• const dvec3& v - Source vector.

## voidset ( const quat& q ) #

Sets new matrix values using a given source quaternion.

### Arguments

• const quat& q - Source quaternion.

## voidset ( const mat4& m ) #

Sets new matrix values 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).

## voidset ( const dmat4& m ) #

Sets the matrix equal to the specified source matrix.

### Arguments

• const dmat4& m - Source matrix.

## voidset ( const mat3& m, const dvec3& v ) #

Sets new matrix values using a given source mat3 matrix (3x3) and a dvec3 vector.

### Arguments

• const mat3& m - Source matrix (3x3).
• const dvec3& v - Source vector.

## double &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.

## doubleget ( 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.

## voidget ( dmat4x3_values& m, int transpose ) const#

Returns the matrix values by filling the specified argument.

### Arguments

• dmat4x3_values& m - The destination value to store matrix double values.
• int transpose - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## voidget ( dmat4x4_values& m, int transpose ) const#

Returns the matrix values by filling the specified argument.

### Arguments

• dmat4x4_values& m - The destination value to store matrix double values.
• int transpose - If set to 0 (by default), the matrix is specified in the column-major style; if set to 1, the matrix is transposed.

## dmat4x3_values &get ( ) #

Returns the value storing matrix double values.

### Return value

The value storing matrix double values.

## const dmat4x3_values &get ( ) const#

Returns the constant value storing matrix double values.

### Return value

The constant value storing matrix double values.

## voidsetColumn ( int column, const dvec4& v ) #

Sets the specified column of the matrix using a given dvec4 vector as a source.

### Arguments

• int column - Column.
• const dvec4& v - Source vector.

## dvec4getColumn ( int column ) const#

Returns the specified matrix column.

### Arguments

• int column - Column.

### Return value

The dvec4 vector with column values.

## voidsetColumn3 ( int column, const dvec3& v ) #

Sets the specified column of the matrix using a given three-component dvec3 vector as a source.

### Arguments

• int column - Column.
• const dvec3& v - Three-component source vector.

## dvec3getColumn3 ( int column ) const#

Returns the specified matrix column.

### Arguments

• int column - Column.

### Return value

The dvec3 vector with column values.

## voidsetIdentity ( ) #

Sets the matrix equal to the identity matrix.

## voidsetRotate ( const dvec3& axis, double angle ) #

Sets the rotation matrix for a given axis.

### Arguments

• const dvec3& axis - Rotation axis.
• double angle - Rotation angle, in degrees.

## quatgetRotate ( ) const#

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

### Return value

Matrix rotation part.

## voidsetRotateX ( double angle ) #

Sets X rotation matrix.

### Arguments

• double angle - Rotation angle, in degrees.

## voidsetRotateY ( double angle ) #

Sets Y rotation matrix.

### Arguments

• double angle - Rotation angle, in degrees.

## voidsetRotateZ ( double angle ) #

Sets Z rotation matrix.

### Arguments

• double angle - Rotation angle, in degrees.

## voidsetRow ( int row, const dvec4& v ) #

Sets the specified row of the matrix using a given dvec4 vector as a source.

### Arguments

• int row - Row.
• const dvec4& v - Source vector.

## dvec4getRow ( int row ) const#

Returns the specified matrix row.

### Arguments

• int row - Row.

### Return value

The dvec4 vector with row values.

## voidsetRow3 ( int row, const dvec3& v ) #

Sets the specified row of the matrix using a given three-component dvec3 vector as a source, the last element of the row remains as is.

### Arguments

• int row - Row.
• const dvec3& v - Three-component source vector.

## dvec3getRow3 ( int row ) const#

Returns the first three elements of the specified matrix row.

### Arguments

• int row - Row.

### Return value

The dvec3 vector with the first three elements of the specified matrix row.

## voidsetScale ( const dvec3& v ) #

Fills the scaling matrix using a given dvec3 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 |``````

### Arguments

• const dvec3& v - Source vector.

## vec3getScale ( ) 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.

## voidsetTranslate ( const dvec3& v ) #

Fills the translation matrix using a given dvec3 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 |``````

### Arguments

• const dvec3& v - Source vector.

## dvec3getTranslate ( ) 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.

## voidsetZero ( ) #

Sets all matrix elements equal to 0.

## const double *operator const double * ( ) const#

Performs type conversion to const double *.

## const void *operator const void * ( ) const#

Performs type conversion to const void *.

## double *operator double * ( ) #

Performs type conversion to double *.

## void *operator void * ( ) #

Performs type conversion to void *.

## dmat4 &operator*= ( const dmat4& m ) #

Performs matrix multiplication.

### Arguments

• const dmat4& m - Matrix.

### Return value

Resulting matrix.

## dmat4 &operator*= ( double v ) #

Performs scalar multiplication.

### Arguments

• double v - Scalar value.

### Return value

Resulting matrix.

## dmat4 &operator+= ( const dmat4& m ) #

### Arguments

• const dmat4& m - Matrix.

### Return value

Resulting matrix.

## dmat4operator- ( ) const#

Performs matrix negation.

### Return value

Resulting matrix.

## dmat4 &operator-= ( const dmat4& m ) #

Performs matrix subtraction.

### Arguments

• const dmat4& m - Matrix.

### Return value

Resulting matrix.

## dmat4 &operator= ( const dmat4& m ) #

Performs matrix assignment. Destination matrix = Source matrix.

### Arguments

• const dmat4& m - Source matrix.

Result.

## double &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.

## doubleoperator[] ( int i ) const#

### Arguments

• int i - Matrix item index.

Matrix item.

## dvec3getAxisX ( ) 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.

## dvec3getAxisY ( ) 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.

## dvec3getAxisZ ( ) 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.

## doubledeterminant ( const dmat4& m ) #

Returns the determinant of the given matrix.

### Arguments

• const dmat4& m - Input matrix.

### Return value

Determinant of the matrix.

## dmat4translate ( const dvec3& v ) #

Returns the translation matrix using a given dvec3 translation 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 |``````

### Arguments

• const dvec3& v - Translation vector.

### Return value

Translated matrix.

## dmat4translate ( const dvec4& v ) #

Returns the translation matrix using a given dvec4 translation 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 |``````

### Arguments

• const dvec4& v - Translation vector.

### Return value

Translated matrix.

## dmat4translate ( const dvec2& v ) #

Returns the translation matrix using a given dvec2 translation 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 |``````

### Arguments

• const dvec2& v - Translation vector.

### Return value

Translated matrix.

## dmat4translate ( double x, double y, double z ) #

Returns the translation matrix using a dvec3 translation vector with given components.
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 |``````

### Arguments

• double x - X component of the translation vector.
• double y - Y component of the translation vector.
• double z - Z component of the translation vector.

### Return value

Translated matrix.

## dmat4rotate ( const dvec3& axis, double angle ) #

Returns the rotation matrix for a given axis and an angle.

### Arguments

• const dvec3& axis - Rotation axis.
• double angle - Rotation angle, in degrees.

Rotated matrix.

## dmat4rotate ( double x, double y, double z, double angle ) #

Returns the rotation matrix for an angle and an axis with given components.

### Arguments

• double x - X component of the rotation vector.
• double y - Y component of the rotation vector.
• double z - Z component of the rotation vector.
• double angle - Rotation angle, in degrees.

Rotated matrix.

## dmat4rotateX ( double angle ) #

Returns the matrix rotated around the X-axis by a given angle.

### Arguments

• double angle - Rotation angle, in degrees.

Rotated matrix.

## dmat4rotateY ( double angle ) #

Returns the matrix rotated around the Y-axis by a given angle.

### Arguments

• double angle - Rotation angle, in degrees.

Rotated matrix.

## dmat4rotateZ ( double angle ) #

Returns the matrix rotated around the Z-axis by a given angle.

### Arguments

• double angle - Rotation angle, in degrees.

Rotated matrix.

## dmat4scale ( const dvec3& v ) #

Returns the matrix scaled by a given dvec3 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 |``````

### Arguments

• const dvec3& v - Source vector.

Scaled matrix.

## dmat4scale ( double x, double y, double z ) #

Returns the matrix scaled by a given dvec3 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 |``````

### Arguments

• double x - X component of the scale vector.
• double y - Y component of the scale vector.
• double z - Z component of the scale vector.

Scaled matrix.

## dmat4scale ( double x ) #

Returns the matrix scaled by a given dvec3 source vector where every component is the same provided value.
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 |``````

### Arguments

• double x - X, Y, and Z components of the scale vector.

Scaled matrix.

## unsigned inthash ( ) const#

Last update: 2023-06-17