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<?xml version="1.0" encoding="UTF-8" ?>
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<class name= "Transform3D" version= "4.0" xmlns:xsi= "http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation= "../class.xsd" >
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<brief_description >
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3D transformation (3× 4 matrix).
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</brief_description>
<description >
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3× 4 matrix (3 rows, 4 columns) used for 3D linear transformations. It can represent transformations such as translation, rotation, or scaling. It consists of a [member basis] (first 3 columns) and a [Vector3] for the [member origin] (last column).
For more information, read the "Matrices and transforms" documentation article.
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</description>
<tutorials >
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<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= "Using 3D transforms" > $DOCS_URL/tutorials/3d/using_transforms.html</link>
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<link title= "Matrix Transform Demo" > https://godotengine.org/asset-library/asset/584</link>
<link title= "3D Platformer Demo" > https://godotengine.org/asset-library/asset/125</link>
<link title= "2.5D Demo" > https://godotengine.org/asset-library/asset/583</link>
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</tutorials>
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<constructors >
<constructor name= "Transform3D" >
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<return type= "Transform3D" />
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<description >
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Constructs a default-initialized [Transform3D] set to [constant IDENTITY].
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</description>
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</constructor>
<constructor name= "Transform3D" >
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<return type= "Transform3D" />
<argument index= "0" name= "from" type= "Transform3D" />
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<description >
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Constructs a [Transform3D] as a copy of the given [Transform3D].
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</description>
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</constructor>
<constructor name= "Transform3D" >
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<return type= "Transform3D" />
<argument index= "0" name= "basis" type= "Basis" />
<argument index= "1" name= "origin" type= "Vector3" />
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<description >
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Constructs a Transform3D from a [Basis] and [Vector3].
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</description>
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</constructor>
<constructor name= "Transform3D" >
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<return type= "Transform3D" />
<argument index= "0" name= "x_axis" type= "Vector3" />
<argument index= "1" name= "y_axis" type= "Vector3" />
<argument index= "2" name= "z_axis" type= "Vector3" />
<argument index= "3" name= "origin" type= "Vector3" />
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<description >
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Constructs a Transform3D from four [Vector3] values (matrix columns). Each axis corresponds to local basis vectors (some of which may be scaled).
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</description>
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</constructor>
</constructors>
<methods >
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<method name= "affine_inverse" qualifiers= "const" >
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<return type= "Transform3D" />
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<description >
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Returns the inverse of the transform, under the assumption that the transformation is composed of rotation, scaling and translation.
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</description>
</method>
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<method name= "interpolate_with" qualifiers= "const" >
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<return type= "Transform3D" />
<argument index= "0" name= "xform" type= "Transform3D" />
<argument index= "1" name= "weight" type= "float" />
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<description >
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Returns a transform interpolated between this transform and another by a given [code]weight[/code] (on the range of 0.0 to 1.0).
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</description>
</method>
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<method name= "inverse" qualifiers= "const" >
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<return type= "Transform3D" />
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<description >
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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).
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</description>
</method>
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<method name= "is_equal_approx" qualifiers= "const" >
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<return type= "bool" />
<argument index= "0" name= "xform" type= "Transform3D" />
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<description >
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Returns [code]true[/code] if this transform and [code]transform[/code] are approximately equal, by calling [code]is_equal_approx[/code] on each component.
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</description>
</method>
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<method name= "looking_at" qualifiers= "const" >
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<return type= "Transform3D" />
<argument index= "0" name= "target" type= "Vector3" />
<argument index= "1" name= "up" type= "Vector3" default= "Vector3(0, 1, 0)" />
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<description >
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Returns a copy of the transform rotated such that the forward axis (-Z) points towards the [code]target[/code] position.
The up axis (+Y) points as close to the [code]up[/code] vector as possible while staying perpendicular to the forward axis. The resulting transform is orthonormalized. The existing rotation, scale, and skew information from the original transform is discarded. The [code]target[/code] and [code]up[/code] vectors cannot be zero, cannot be parallel to each other, and are defined in global/parent space.
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</description>
</method>
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<method name= "orthonormalized" qualifiers= "const" >
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<return type= "Transform3D" />
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<description >
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Returns the transform with the basis orthogonal (90 degrees), and normalized axis vectors (scale of 1 or -1).
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</description>
</method>
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<method name= "rotated" qualifiers= "const" >
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<return type= "Transform3D" />
<argument index= "0" name= "axis" type= "Vector3" />
<argument index= "1" name= "phi" type= "float" />
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<description >
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Rotates the transform around the given axis by the given angle (in radians), using matrix multiplication. The axis must be a normalized vector.
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</description>
</method>
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<method name= "scaled" qualifiers= "const" >
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<return type= "Transform3D" />
<argument index= "0" name= "scale" type= "Vector3" />
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<description >
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Scales basis and origin of the transform by the given scale factor, using matrix multiplication.
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</description>
</method>
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<method name= "sphere_interpolate_with" qualifiers= "const" >
<return type= "Transform3D" />
<argument index= "0" name= "xform" type= "Transform3D" />
<argument index= "1" name= "weight" type= "float" />
<description >
Returns a transform spherically interpolated between this transform and another by a given [code]weight[/code] (on the range of 0.0 to 1.0).
</description>
</method>
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<method name= "translated" qualifiers= "const" >
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<return type= "Transform3D" />
<argument index= "0" name= "offset" type= "Vector3" />
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<description >
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Translates the transform by the given offset, relative to the transform's basis vectors.
Unlike [method rotated] and [method scaled], this does not use matrix multiplication.
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</description>
</method>
</methods>
<members >
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<member name= "basis" type= "Basis" setter= "" getter= "" default= "Basis(1, 0, 0, 0, 1, 0, 0, 0, 1)" >
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The basis is a matrix containing 3 [Vector3] as its columns: X axis, Y axis, and Z axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.
</member>
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<member name= "origin" type= "Vector3" setter= "" getter= "" default= "Vector3(0, 0, 0)" >
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The translation offset of the transform (column 3, the fourth column). Equivalent to array index [code]3[/code].
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</member>
</members>
<constants >
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<constant name= "IDENTITY" value= "Transform3D(1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0)" >
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[Transform3D] with no translation, rotation or scaling applied. When applied to other data structures, [constant IDENTITY] performs no transformation.
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</constant>
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<constant name= "FLIP_X" value= "Transform3D(-1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0)" >
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[Transform3D] with mirroring applied perpendicular to the YZ plane.
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</constant>
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<constant name= "FLIP_Y" value= "Transform3D(1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0)" >
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[Transform3D] with mirroring applied perpendicular to the XZ plane.
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</constant>
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<constant name= "FLIP_Z" value= "Transform3D(1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0)" >
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[Transform3D] with mirroring applied perpendicular to the XY plane.
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</constant>
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</constants>
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<operators >
<operator name= "operator !=" >
<return type= "bool" />
<argument index= "0" name= "right" type= "Transform3D" />
<description >
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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.
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</description>
</operator>
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<operator name= "operator *" >
<return type= "AABB" />
<argument index= "0" name= "right" type= "AABB" />
<description >
Transforms (multiplies) the [AABB] by the given [Transform3D] matrix.
</description>
</operator>
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<operator name= "operator *" >
<return type= "PackedVector3Array" />
<argument index= "0" name= "right" type= "PackedVector3Array" />
<description >
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Transforms (multiplies) each element of the [Vector3] array by the given [Transform3D] matrix.
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</description>
</operator>
<operator name= "operator *" >
<return type= "Transform3D" />
<argument index= "0" name= "right" type= "Transform3D" />
<description >
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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).
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</description>
</operator>
<operator name= "operator *" >
<return type= "Vector3" />
<argument index= "0" name= "right" type= "Vector3" />
<description >
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Transforms (multiplies) the [Vector3] by the given [Transform3D] matrix.
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</description>
</operator>
<operator name= "operator *" >
<return type= "Transform3D" />
<argument index= "0" name= "right" type= "float" />
<description >
This operator multiplies all components of the [Transform3D], including the origin vector, which scales it uniformly.
</description>
</operator>
<operator name= "operator *" >
<return type= "Transform3D" />
<argument index= "0" name= "right" type= "int" />
<description >
This operator multiplies all components of the [Transform3D], including the origin vector, which scales it uniformly.
</description>
</operator>
<operator name= "operator ==" >
<return type= "bool" />
<argument index= "0" name= "right" type= "Transform3D" />
<description >
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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.
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</description>
</operator>
</operators>
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</class>