455c06ecd4
Implement built-in classes Vector4, Vector4i and Projection. * Two versions of Vector4 (float and integer). * A Projection class, which is a 4x4 matrix specialized in projection types. These types have been requested for a long time, but given they were very corner case they were not added before. Because in Godot 4, reimplementing parts of the rendering engine is now possible, access to these types (heavily used by the rendering code) becomes a necessity. **Q**: Why Projection and not Matrix4? **A**: Godot does not use Matrix2, Matrix3, Matrix4x3, etc. naming convention because, within the engine, these types always have a *purpose*. As such, Godot names them: Transform2D, Transform3D or Basis. In this case, this 4x4 matrix is _always_ used as a _Projection_, hence the naming.
215 lines
10 KiB
XML
215 lines
10 KiB
XML
<?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>
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<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).
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For more information, read the "Matrices and transforms" documentation article.
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</description>
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<tutorials>
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<link title="Math documentation index">$DOCS_URL/tutorials/math/index.html</link>
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<link title="Matrices and transforms">$DOCS_URL/tutorials/math/matrices_and_transforms.html</link>
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<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>
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<link title="3D Platformer Demo">https://godotengine.org/asset-library/asset/125</link>
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<link title="2.5D Demo">https://godotengine.org/asset-library/asset/583</link>
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</tutorials>
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<constructors>
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<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>
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<constructor name="Transform3D">
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<return type="Transform3D" />
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<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>
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<constructor name="Transform3D">
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<return type="Transform3D" />
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<argument index="0" name="basis" type="Basis" />
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<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>
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<constructor name="Transform3D">
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<return type="Transform3D" />
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<argument index="0" name="from" type="Projection" />
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<description>
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</description>
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</constructor>
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<constructor name="Transform3D">
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<return type="Transform3D" />
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<argument index="0" name="x_axis" type="Vector3" />
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<argument index="1" name="y_axis" type="Vector3" />
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<argument index="2" name="z_axis" type="Vector3" />
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<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>
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</constructors>
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<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>
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</method>
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<method name="interpolate_with" qualifiers="const">
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<return type="Transform3D" />
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<argument index="0" name="xform" type="Transform3D" />
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<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>
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</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>
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</method>
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<method name="is_equal_approx" qualifiers="const">
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<return type="bool" />
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<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>
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</method>
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<method name="looking_at" qualifiers="const">
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<return type="Transform3D" />
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<argument index="0" name="target" type="Vector3" />
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<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.
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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>
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</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>
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</method>
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<method name="rotated" qualifiers="const">
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<return type="Transform3D" />
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<argument index="0" name="axis" type="Vector3" />
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<argument index="1" name="angle" type="float" />
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<description>
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Returns a copy of the transform rotated around the given [code]axis[/code] by the given [code]angle[/code] (in radians), using matrix multiplication. The [code]axis[/code] must be a normalized vector.
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</description>
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</method>
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<method name="scaled" qualifiers="const">
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<return type="Transform3D" />
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<argument index="0" name="scale" type="Vector3" />
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<description>
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Returns a copy of the transform with its basis and origin scaled by the given [code]scale[/code] factor, using matrix multiplication.
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</description>
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</method>
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<method name="sphere_interpolate_with" qualifiers="const">
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<return type="Transform3D" />
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<argument index="0" name="xform" type="Transform3D" />
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<argument index="1" name="weight" type="float" />
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<description>
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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).
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</description>
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</method>
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<method name="translated" qualifiers="const">
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<return type="Transform3D" />
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<argument index="0" name="offset" type="Vector3" />
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<description>
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Returns a copy of the transform translated by the given [code]offset[/code], relative to the transform's basis vectors.
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Unlike [method rotated] and [method scaled], this does not use matrix multiplication.
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</description>
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</method>
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</methods>
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<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.
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</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>
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</members>
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<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>
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<operator name="operator !=">
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<return type="bool" />
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<argument index="0" name="right" type="Transform3D" />
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<description>
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Returns [code]true[/code] if the transforms are not equal.
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[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>
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</operator>
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<operator name="operator *">
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<return type="AABB" />
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<argument index="0" name="right" type="AABB" />
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<description>
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Transforms (multiplies) the [AABB] by the given [Transform3D] matrix.
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</description>
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</operator>
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<operator name="operator *">
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<return type="PackedVector3Array" />
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<argument index="0" name="right" type="PackedVector3Array" />
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<description>
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Transforms (multiplies) each element of the [Vector3] array by the given [Transform3D] matrix.
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</description>
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</operator>
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<operator name="operator *">
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<return type="Transform3D" />
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<argument index="0" name="right" type="Transform3D" />
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<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>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="Vector3" />
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<description>
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Transforms (multiplies) the [Vector3] by the given [Transform3D] matrix.
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</description>
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</operator>
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<operator name="operator *">
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<return type="Transform3D" />
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<argument index="0" name="right" type="float" />
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<description>
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This operator multiplies all components of the [Transform3D], including the origin vector, which scales it uniformly.
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</description>
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</operator>
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<operator name="operator *">
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<return type="Transform3D" />
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<argument index="0" name="right" type="int" />
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<description>
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This operator multiplies all components of the [Transform3D], including the origin vector, which scales it uniformly.
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</description>
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</operator>
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<operator name="operator ==">
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<return type="bool" />
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<argument index="0" name="right" type="Transform3D" />
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<description>
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Returns [code]true[/code] if the transforms are exactly equal.
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[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>
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</operator>
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</operators>
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</class>
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