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<?xml version="1.0" encoding="UTF-8" ?>
<class name="Transform2D" version="4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../class.xsd">
<brief_description>
2D transformation (2×3 matrix).
</brief_description>
<description>
2×3 matrix (2 rows, 3 columns) used for 2D linear transformations. It can represent transformations such as translation, rotation, or scaling. It consists of three [Vector2] values: [member x], [member y], and the [member origin].
For more information, read the "Matrices and transforms" documentation article.
</description>
<tutorials>
<link title="Math documentation index">$DOCS_URL/tutorials/math/index.html</link>
<link title="Matrices and transforms">$DOCS_URL/tutorials/math/matrices_and_transforms.html</link>
<link title="Matrix Transform Demo">https://godotengine.org/asset-library/asset/584</link>
<link title="2.5D Demo">https://godotengine.org/asset-library/asset/583</link>
</tutorials>
<constructors>
<constructor name="Transform2D">
<return type="Transform2D" />
<description>
Constructs a default-initialized [Transform2D] set to [constant IDENTITY].
</description>
</constructor>
<constructor name="Transform2D">
<return type="Transform2D" />
<argument index="0" name="from" type="Transform2D" />
<description>
Constructs a [Transform2D] as a copy of the given [Transform2D].
</description>
</constructor>
<constructor name="Transform2D">
<return type="Transform2D" />
<argument index="0" name="rotation" type="float" />
<argument index="1" name="position" type="Vector2" />
<description>
Constructs the transform from a given angle (in radians) and position.
</description>
</constructor>
<constructor name="Transform2D">
<return type="Transform2D" />
<argument index="0" name="rotation" type="float" />
<argument index="1" name="scale" type="Vector2" />
<argument index="2" name="skew" type="float" />
<argument index="3" name="position" type="Vector2" />
<description>
Constructs the transform from a given angle (in radians), scale, skew (in radians) and position.
</description>
</constructor>
<constructor name="Transform2D">
<return type="Transform2D" />
<argument index="0" name="x_axis" type="Vector2" />
<argument index="1" name="y_axis" type="Vector2" />
<argument index="2" name="origin" type="Vector2" />
<description>
Constructs the transform from 3 [Vector2] values representing [member x], [member y], and the [member origin] (the three column vectors).
</description>
</constructor>
</constructors>
<methods>
<method name="affine_inverse" qualifiers="const">
<return type="Transform2D" />
<description>
Returns the inverse of the transform, under the assumption that the transformation is composed of rotation, scaling and translation.
</description>
</method>
<method name="basis_xform" qualifiers="const">
<return type="Vector2" />
<argument index="0" name="v" type="Vector2" />
<description>
Returns a vector transformed (multiplied) by the basis matrix.
This method does not account for translation (the origin vector).
</description>
</method>
<method name="basis_xform_inv" qualifiers="const">
<return type="Vector2" />
<argument index="0" name="v" type="Vector2" />
<description>
Returns a vector transformed (multiplied) by the inverse basis matrix.
This method does not account for translation (the origin vector).
</description>
</method>
<method name="get_origin" qualifiers="const">
<return type="Vector2" />
<description>
Returns the transform's origin (translation).
</description>
</method>
<method name="get_rotation" qualifiers="const">
<return type="float" />
<description>
Returns the transform's rotation (in radians).
</description>
</method>
<method name="get_scale" qualifiers="const">
<return type="Vector2" />
<description>
Returns the scale.
</description>
</method>
<method name="get_skew" qualifiers="const">
<return type="float" />
<description>
Returns the transform's skew (in radians).
</description>
</method>
<method name="interpolate_with" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="xform" type="Transform2D" />
<argument index="1" name="weight" type="float" />
<description>
Returns a transform interpolated between this transform and another by a given [code]weight[/code] (on the range of 0.0 to 1.0).
</description>
</method>
<method name="inverse" qualifiers="const">
<return type="Transform2D" />
<description>
Returns the inverse of the transform, under the assumption that the transformation is composed of rotation and translation (no scaling, use [method affine_inverse] for transforms with scaling).
</description>
</method>
<method name="is_equal_approx" qualifiers="const">
<return type="bool" />
<argument index="0" name="xform" type="Transform2D" />
<description>
Returns [code]true[/code] if this transform and [code]transform[/code] are approximately equal, by calling [code]is_equal_approx[/code] on each component.
</description>
</method>
<method name="looking_at" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="target" type="Vector2" default="Vector2(0, 0)" />
<description>
Returns a copy of the transform rotated such that it's rotation on the X-axis points towards the [code]target[/code] position.
Operations take place in global space.
</description>
</method>
<method name="orthonormalized" qualifiers="const">
<return type="Transform2D" />
<description>
Returns the transform with the basis orthogonal (90 degrees), and normalized axis vectors (scale of 1 or -1).
</description>
</method>
<method name="rotated" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="angle" type="float" />
<description>
Returns a copy of the transform rotated by the given [code]angle[/code] (in radians).
This method is an optimized version of multiplying the given transform [code]X[/code]
with a corresponding rotation transform [code]R[/code] from the left, i.e., [code]R * X[/code].
This can be seen as transforming with respect to the global/parent frame.
</description>
</method>
<method name="rotated_local" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="angle" type="float" />
<description>
Returns a copy of the transform rotated by the given [code]angle[/code] (in radians).
This method is an optimized version of multiplying the given transform [code]X[/code]
with a corresponding rotation transform [code]R[/code] from the right, i.e., [code]X * R[/code].
This can be seen as transforming with respect to the local frame.
</description>
</method>
<method name="scaled" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="scale" type="Vector2" />
<description>
Returns a copy of the transform scaled by the given [code]scale[/code] factor.
This method is an optimized version of multiplying the given transform [code]X[/code]
with a corresponding scaling transform [code]S[/code] from the left, i.e., [code]S * X[/code].
This can be seen as transforming with respect to the global/parent frame.
</description>
</method>
<method name="scaled_local" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="scale" type="Vector2" />
<description>
Returns a copy of the transform scaled by the given [code]scale[/code] factor.
This method is an optimized version of multiplying the given transform [code]X[/code]
with a corresponding scaling transform [code]S[/code] from the right, i.e., [code]X * S[/code].
This can be seen as transforming with respect to the local frame.
</description>
</method>
<method name="set_rotation">
<return type="void" />
<argument index="0" name="rotation" type="float" />
<description>
Sets the transform's rotation (in radians).
</description>
</method>
<method name="set_scale">
<return type="void" />
<argument index="0" name="scale" type="Vector2" />
<description>
Sets the transform's scale.
[b]Note:[/b] Negative X scales in 2D are not decomposable from the transformation matrix. Due to the way scale is represented with transformation matrices in Godot, negative scales on the X axis will be changed to negative scales on the Y axis and a rotation of 180 degrees when decomposed.
</description>
</method>
<method name="set_skew">
<return type="void" />
<argument index="0" name="skew" type="float" />
<description>
Sets the transform's skew (in radians).
</description>
</method>
<method name="translated" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="offset" type="Vector2" />
<description>
Returns a copy of the transform translated by the given [code]offset[/code].
This method is an optimized version of multiplying the given transform [code]X[/code]
with a corresponding translation transform [code]T[/code] from the left, i.e., [code]T * X[/code].
This can be seen as transforming with respect to the global/parent frame.
</description>
</method>
<method name="translated_local" qualifiers="const">
<return type="Transform2D" />
<argument index="0" name="offset" type="Vector2" />
<description>
Returns a copy of the transform translated by the given [code]offset[/code].
This method is an optimized version of multiplying the given transform [code]X[/code]
with a corresponding translation transform [code]T[/code] from the right, i.e., [code]X * T[/code].
This can be seen as transforming with respect to the local frame.
</description>
</method>
</methods>
<members>
<member name="origin" type="Vector2" setter="" getter="" default="Vector2(0, 0)">
The origin vector (column 2, the third column). Equivalent to array index [code]2[/code]. The origin vector represents translation.
</member>
<member name="x" type="Vector2" setter="" getter="" default="Vector2(1, 0)">
The basis matrix's X vector (column 0). Equivalent to array index [code]0[/code].
</member>
<member name="y" type="Vector2" setter="" getter="" default="Vector2(0, 1)">
The basis matrix's Y vector (column 1). Equivalent to array index [code]1[/code].
</member>
</members>
<constants>
<constant name="IDENTITY" value="Transform2D(1, 0, 0, 1, 0, 0)">
The identity [Transform2D] with no translation, rotation or scaling applied. When applied to other data structures, [constant IDENTITY] performs no transformation.
</constant>
<constant name="FLIP_X" value="Transform2D(-1, 0, 0, 1, 0, 0)">
The [Transform2D] that will flip something along the X axis.
</constant>
<constant name="FLIP_Y" value="Transform2D(1, 0, 0, -1, 0, 0)">
The [Transform2D] that will flip something along the Y axis.
</constant>
</constants>
<operators>
<operator name="operator !=">
<return type="bool" />
<argument index="0" name="right" type="Transform2D" />
<description>
Returns [code]true[/code] if the transforms are not equal.
[b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable.
</description>
</operator>
<operator name="operator *">
<return type="PackedVector2Array" />
<argument index="0" name="right" type="PackedVector2Array" />
<description>
Transforms (multiplies) each element of the [Vector2] array by the given [Transform2D] matrix.
</description>
</operator>
<operator name="operator *">
<return type="Rect2" />
<argument index="0" name="right" type="Rect2" />
<description>
Transforms (multiplies) the [Rect2] by the given [Transform2D] matrix.
</description>
</operator>
<operator name="operator *">
<return type="Transform2D" />
<argument index="0" name="right" type="Transform2D" />
<description>
Composes these two transformation matrices by multiplying them together. This has the effect of transforming the second transform (the child) by the first transform (the parent).
</description>
</operator>
<operator name="operator *">
<return type="Vector2" />
<argument index="0" name="right" type="Vector2" />
<description>
Transforms (multiplies) the [Vector2] by the given [Transform2D] matrix.
</description>
</operator>
<operator name="operator *">
<return type="Transform2D" />
<argument index="0" name="right" type="float" />
<description>
This operator multiplies all components of the [Transform2D], including the origin vector, which scales it uniformly.
</description>
</operator>
<operator name="operator *">
<return type="Transform2D" />
<argument index="0" name="right" type="int" />
<description>
This operator multiplies all components of the [Transform2D], including the origin vector, which scales it uniformly.
</description>
</operator>
<operator name="operator ==">
<return type="bool" />
<argument index="0" name="right" type="Transform2D" />
<description>
Returns [code]true[/code] if the transforms are exactly equal.
[b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable.
</description>
</operator>
<operator name="operator []">
<return type="Vector2" />
<argument index="0" name="index" type="int" />
<description>
Access transform components using their index. [code]t[0][/code] is equivalent to [code]t.x[/code], [code]t[1][/code] is equivalent to [code]t.y[/code], and [code]t[2][/code] is equivalent to [code]t.origin[/code].
</description>
</operator>
</operators>
</class>
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