# Transform2D¶

Category: Built-In Types

## Brief Description¶

2D Transformation. 3x2 matrix.

## Member Functions¶

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

## Member Variables¶

• Vector2 origin - The transform’s translation offset.
• Vector2 x - The X axis of 2x2 basis matrix containing 2 Vector2s 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 Vector2s 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.

## Description¶

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

## Member Function Description¶

Constructs the transform from a 3D Transform.

Constructs the transform from 3 Vector2s representing x, y, and origin.

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

Returns the inverse of the matrix.

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

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

Returns the transform’s origin (translation).

Returns the transform’s rotation (in radians).

Returns the scale.

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

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).

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

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

Scales the transform by the given factor.

Translates the transform by the given offset.

Transforms the given vector “v” by this transform.

Inverse-transforms the given vector “v” by this transform.