Matrix3

####Category: Built-In Types

Brief Description

3x3 matrix datatype.

Member Functions

• float determinant ( )
• Vector3 get_euler ( )
• int get_orthogonal_index ( )
• Vector3 get_scale ( )
• Matrix3 inverse ( )
• Matrix3 orthonormalized ( )
• Matrix3 rotated ( Vector3 axis, float phi )
• Matrix3 scaled ( Vector3 scale )
• float tdotx ( Vector3 with )
• float tdoty ( Vector3 with )
• float tdotz ( Vector3 with )
• Matrix3 transposed ( )
• Vector3 xform ( Vector3 v )
• Vector3 xform_inv ( Vector3 v )
• void Matrix3 ( Vector3 x_axis, Vector3 y_axis, Vector3 z_axis )
• void Matrix3 ( Vector3 axis, float phi )
• void Matrix3 ( Quat from )

Member Variables

• Vector3 x
• Vector3 y
• Vector3 z

Description

3x3 matrix used for 3D rotation and scale. Contains 3 vector fields x,y and z. Can also be accessed as array of 3D vectors. Almost always used as orthogonal basis for a Transform.

Member Function Description

determinant

• float determinant ( )

Return the determinant of the matrix.

get_euler

• Vector3 get_euler ( )

Return euler angles from the matrix.

inverse

• Matrix3 inverse ( )

Return the affine inverse of the matrix.

orthonormalized

• Matrix3 orthonormalized ( )

Return the orthonormalized version of the matrix (useful to call from time to time to avoid rounding error).

rotated

• Matrix3 rotated ( Vector3 axis, float phi )

Return the rotated version of the matrix, by a given axis and angle.

scaled

• Matrix3 scaled ( Vector3 scale )

Return the scaled version of the matrix, by a 3D scale.

tdotx

• float tdotx ( Vector3 with )

Transposed dot product with the x axis of the matrix.

tdoty

• float tdoty ( Vector3 with )

Transposed dot product with the y axis of the matrix.

tdotz

• float tdotz ( Vector3 with )

Transposed dot product with the z axis of the matrix.

transposed

• Matrix3 transposed ( )

Return the transposed version of the matrix.

xform

• Vector3 xform ( Vector3 v )

Return a vector transformed by the matrix and return it.

xform_inv

• Vector3 xform_inv ( Vector3 v )

Return a vector transformed by the transposed matrix and return it.

Matrix3

• void Matrix3 ( Vector3 x_axis, Vector3 y_axis, Vector3 z_axis )

Create a matrix from 3 axis vectors.

Matrix3

• void Matrix3 ( Vector3 axis, float phi )

Create a matrix from 3 axis vectors.

Matrix3

• void Matrix3 ( Quat from )

Create a matrix from 3 axis vectors.