Transform2D

2D Transformation. 3x2 matrix.

Properties

	Transform2D ( from )
Transform2D	( Vector2 x_axis, y_axis, Vector2 origin )
	Transform2D ( rotation, Vector2 position )
	affine_inverse ( )
	basis_xform ( v )
Vector2	( Vector2 v )
	get_origin ( )
	get_rotation ( )
	get_scale ( )
	interpolate_with ( transform, float weight )
	inverse ( )
	orthonormalized ( )
	rotated ( phi )
Transform2D	( Vector2 scale )
	translated ( offset )
Variant	( Variant v )
	xform_inv ( v )

Constants

IDENTITY = Transform2D( 1, 0, 0, 1, 0, 0 ) — Transform2D with no translation, rotation or scaling applied. When applied to other data structures, performs no transformation.
FLIP_X = Transform2D( -1, 0, 0, 1, 0, 0 ) — Transform2D with mirroring applied parallel to the X axis.

Represents one or many transformations in 2D space such as translation, rotation, or scaling. It consists of a two x, y and Vector2 “origin”. It is similar to a 3x2 matrix.

Property Descriptions

origin

The transform’s translation offset.

Vector2 x

The X axis of 2x2 basis matrix containing 2 s as its columns: X axis and Y axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.

Vector2 y

The Y axis of 2x2 basis matrix containing 2 s as its columns: X axis and Y axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.

Transform2D Transform2D ( from )

Constructs the transform from a 3D Transform.

Transform2D ( Vector2 x_axis, y_axis, Vector2 origin )

Transform2D ( float rotation, position )

Constructs the transform from a given angle (in radians) and position.

Transform2D affine_inverse ( )

Returns the inverse of the matrix.

basis_xform ( Vector2 v )

Transforms the given vector by this transform’s basis (no translation).

basis_xform_inv ( Vector2 v )

Inverse-transforms the given vector by this transform’s basis (no translation).

Returns the transform’s origin (translation).

get_rotation ( )

Returns the transform’s rotation (in radians).

Vector2 get_scale ( )

interpolate_with ( Transform2D transform, weight )

Returns a transform interpolated between this transform and another by a given weight (0-1).

Transform2D inverse ( )

Returns the inverse of the transform, under the assumption that the transformation is composed of rotation and translation (no scaling, use affine_inverse for transforms with scaling).

orthonormalized ( )

Returns the transform with the basis orthogonal (90 degrees), and normalized axis vectors.

Transform2D rotated ( phi )

Rotates the transform by the given angle (in radians).

Transform2D scaled ( scale )

Scales the transform by the given factor.

Transform2D translated ( offset )

Translates the transform by the given offset.

Variant xform ( v )

Inverse-transforms the given Vector2 or by this transform.