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Unigine::Math::dmat4 Struct

Header: #include <UnigineMathLibDMat4.h>

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

dmat4 Class

Members


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 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.

dmat4 ( const double* m, int transpose ) #

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

Arguments

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

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 float* m ) #

Constructor. Initializes the matrix using a given pointer to an array of float elements.

Arguments

  • const float* m

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.

void set ( 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.

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.

Arguments

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

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.

Arguments

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

void set ( 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.

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 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).

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

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

Arguments

  • const double* 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 dmat4& m ) #

Sets the matrix equal to the specified source matrix.

Arguments

  • const dmat4& m - Source matrix.

void set ( 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.

double 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.

double * get ( ) #

Returns the pointer to the matrix.

Return value

Pointer to the matrix.

const double * get ( ) const#

Returns the constant pointer to the matrix.

Return value

Constant pointer to the matrix.

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

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

Arguments

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

void setColumn ( 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.

dvec4 getColumn ( int column ) const#

Returns the specified matrix column.

Arguments

  • int column - Column.

Return value

The dvec4 vector with column values.

void setColumn3 ( 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.

dvec3 getColumn3 ( int column ) const#

Returns the specified matrix column.

Arguments

  • int column - Column.

Return value

The dvec3 vector with column values.

void setIdentity ( ) #

Sets the matrix equal to the identity matrix.

void setRotate ( 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.

quat getRotate ( ) const#

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

Return value

Matrix rotation part.

void setRotateX ( double angle ) #

Sets X rotation matrix.

Arguments

  • double angle - Rotation angle, in degrees.

void setRotateY ( double angle ) #

Sets Y rotation matrix.

Arguments

  • double angle - Rotation angle, in degrees.

void setRotateZ ( double angle ) #

Sets Z rotation matrix.

Arguments

  • double angle - Rotation angle, in degrees.

void setRow ( 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.

dvec4 getRow ( int row ) const#

Returns the specified matrix row.

Arguments

  • int row - Row.

Return value

The dvec4 vector with row values.

void setRow3 ( 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.

dvec3 getRow3 ( 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.

void setScale ( 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.

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 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.

dvec3 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 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 ) #

Performs matrix addition.

Arguments

  • const dmat4& m - Matrix.

Return value

Resulting matrix.

dmat4 operator- ( ) 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.

Return value

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.

double 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.

dvec3 getAxisX ( ) 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.

dvec3 getAxisY ( ) 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.

dvec3 getAxisZ ( ) 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.

double determinant ( const dmat4& m ) #

Returns the determinant of the given matrix.

Arguments

  • const dmat4& m - Input matrix.

Return value

Determinant of the matrix.

dmat4 translate ( 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.

dmat4 translate ( 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.

dmat4 translate ( 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.

dmat4 translate ( 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.

dmat4 rotate ( 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.

Return value

Rotated matrix.

dmat4 rotate ( 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.

Return value

Rotated matrix.

dmat4 rotateX ( double angle ) #

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

Arguments

  • double angle - Rotation angle, in degrees.

Return value

Rotated matrix.

dmat4 rotateY ( double angle ) #

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

Arguments

  • double angle - Rotation angle, in degrees.

Return value

Rotated matrix.

dmat4 rotateZ ( double angle ) #

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

Arguments

  • double angle - Rotation angle, in degrees.

Return value

Rotated matrix.

dmat4 scale ( 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.

Return value

Scaled matrix.

dmat4 scale ( 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.

Return value

Scaled matrix.

dmat4 scale ( 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.

Return value

Scaled matrix.
Last update: 24.08.2021
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