Merge pull request #83461 from kleonc/docs-multiplication-operators-doing-xform_inv
Clarify docs for operators performing `xform_inv`
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@ -245,7 +245,9 @@
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<return type="AABB" />
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<param index="0" name="right" type="Transform3D" />
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<description>
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Inversely transforms (multiplies) the [AABB] by the given [Transform3D] transformation matrix.
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Inversely transforms (multiplies) the [AABB] by the given [Transform3D] transformation matrix, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]aabb * transform[/code] is equivalent to [code]transform.inverse() * aabb[/code]. See [method Transform3D.inverse].
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For transforming by inverse of an affine transformation (e.g. with scaling) [code]transform.affine_inverse() * aabb[/code] can be used instead. See [method Transform3D.affine_inverse].
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</description>
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</operator>
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<operator name="operator ==">
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@ -204,7 +204,9 @@
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<return type="PackedVector2Array" />
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<param index="0" name="right" type="Transform2D" />
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<description>
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Transforms (multiplies) all vectors in the array by the [Transform2D] matrix.
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Returns a new [PackedVector2Array] with all vectors in this array inversely transformed (multiplied) by the given [Transform2D] transformation matrix, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]array * transform[/code] is equivalent to [code]transform.inverse() * array[/code]. See [method Transform2D.inverse].
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For transforming by inverse of an affine transformation (e.g. with scaling) [code]transform.affine_inverse() * array[/code] can be used instead. See [method Transform2D.affine_inverse].
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</description>
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</operator>
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<operator name="operator +">
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@ -203,7 +203,9 @@
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<return type="PackedVector3Array" />
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<param index="0" name="right" type="Transform3D" />
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<description>
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Transforms (multiplies) all vectors in the array by the [Transform3D] matrix.
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Returns a new [PackedVector3Array] with all vectors in this array inversely transformed (multiplied) by the given [Transform3D] transformation matrix, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]array * transform[/code] is equivalent to [code]transform.inverse() * array[/code]. See [method Transform3D.inverse].
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For transforming by inverse of an affine transformation (e.g. with scaling) [code]transform.affine_inverse() * array[/code] can be used instead. See [method Transform3D.affine_inverse].
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</description>
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</operator>
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<operator name="operator +">
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@ -193,6 +193,7 @@
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<param index="0" name="right" type="Transform3D" />
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<description>
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Inversely transforms (multiplies) the [Plane] by the given [Transform3D] transformation matrix.
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[code]plane * transform[/code] is equivalent to [code]transform.affine_inverse() * plane[/code]. See [method Transform3D.affine_inverse].
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</description>
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</operator>
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<operator name="operator ==">
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@ -237,7 +237,9 @@
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<return type="Rect2" />
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<param index="0" name="right" type="Transform2D" />
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<description>
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Inversely transforms (multiplies) the [Rect2] by the given [Transform2D] transformation matrix.
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Inversely transforms (multiplies) the [Rect2] by the given [Transform2D] transformation matrix, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]rect * transform[/code] is equivalent to [code]transform.inverse() * rect[/code]. See [method Transform2D.inverse].
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For transforming by inverse of an affine transformation (e.g. with scaling) [code]transform.affine_inverse() * rect[/code] can be used instead. See [method Transform2D.affine_inverse].
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</description>
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</operator>
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<operator name="operator ==">
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@ -59,7 +59,7 @@
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<method name="affine_inverse" qualifiers="const">
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<return type="Transform2D" />
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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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Returns the inverse of the transform, under the assumption that the basis is invertible (must have non-zero determinant).
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</description>
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</method>
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<method name="basis_xform" qualifiers="const">
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@ -74,8 +74,10 @@
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<return type="Vector2" />
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<param index="0" name="v" type="Vector2" />
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<description>
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Returns a vector transformed (multiplied) by the inverse basis matrix.
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Returns a vector transformed (multiplied) by the inverse basis matrix, under the assumption that the basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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This method does not account for translation (the origin vector).
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[code]transform.basis_xform_inv(vector)[/code] is equivalent to [code]transform.inverse().basis_xform(vector)[/code]. See [method inverse].
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For non-orthonormal transforms (e.g. with scaling) use [code]transform.affine_inverse().basis_xform(vector)[/code] instead. See [method affine_inverse].
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</description>
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</method>
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<method name="determinant" qualifiers="const">
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@ -120,7 +122,7 @@
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<method name="inverse" qualifiers="const">
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<return type="Transform2D" />
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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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Returns the inverse of the transform, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not). Use [method affine_inverse] for non-orthonormal transforms (e.g. with scaling).
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</description>
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</method>
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<method name="is_conformal" qualifiers="const">
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@ -59,7 +59,7 @@
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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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Returns the inverse of the transform, under the assumption that the basis is invertible (must have non-zero determinant).
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</description>
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</method>
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<method name="interpolate_with" qualifiers="const">
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@ -73,7 +73,7 @@
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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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Returns the inverse of the transform, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not). Use [method affine_inverse] for non-orthonormal transforms (e.g. 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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@ -419,7 +419,9 @@
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<return type="Vector2" />
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<param index="0" name="right" type="Transform2D" />
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<description>
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Inversely transforms (multiplies) the [Vector2] by the given [Transform2D] transformation matrix.
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Inversely transforms (multiplies) the [Vector2] by the given [Transform2D] transformation matrix, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]vector * transform[/code] is equivalent to [code]transform.inverse() * vector[/code]. See [method Transform2D.inverse].
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For transforming by inverse of an affine transformation (e.g. with scaling) [code]transform.affine_inverse() * vector[/code] can be used instead. See [method Transform2D.affine_inverse].
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</description>
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</operator>
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<operator name="operator *">
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@ -442,7 +442,9 @@
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<return type="Vector3" />
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<param index="0" name="right" type="Basis" />
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<description>
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Inversely transforms (multiplies) the [Vector3] by the given [Basis] matrix.
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Inversely transforms (multiplies) the [Vector3] by the given [Basis] matrix, under the assumption that the basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]vector * basis[/code] is equivalent to [code]basis.transposed() * vector[/code]. See [method Basis.transposed].
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For transforming by inverse of a non-orthonormal basis [code]basis.inverse() * vector[/code] can be used instead. See [method Basis.inverse].
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</description>
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</operator>
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<operator name="operator *">
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@ -450,13 +452,16 @@
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<param index="0" name="right" type="Quaternion" />
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<description>
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Inversely transforms (multiplies) the [Vector3] by the given [Quaternion].
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[code]vector * quaternion[/code] is equivalent to [code]quaternion.inverse() * vector[/code]. See [method Quaternion.inverse].
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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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<param index="0" name="right" type="Transform3D" />
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<description>
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Inversely transforms (multiplies) the [Vector3] by the given [Transform3D] transformation matrix.
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Inversely transforms (multiplies) the [Vector3] by the given [Transform3D] transformation matrix, under the assumption that the transformation basis is orthonormal (i.e. rotation/reflection is fine, scaling/skew is not).
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[code]vector * transform[/code] is equivalent to [code]transform.inverse() * vector[/code]. See [method Transform3D.inverse].
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For transforming by inverse of an affine transformation (e.g. with scaling) [code]transform.affine_inverse() * vector[/code] can be used instead. See [method Transform3D.affine_inverse].
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</description>
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</operator>
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<operator name="operator *">
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@ -280,7 +280,8 @@
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<return type="Vector4" />
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<param index="0" name="right" type="Projection" />
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<description>
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Inversely transforms (multiplies) the [Vector4] by the given [Projection] matrix.
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Transforms (multiplies) the [Vector4] by the transpose of the given [Projection] matrix.
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For transforming by inverse of a projection [code]projection.inverse() * vector[/code] can be used instead. See [method Projection.inverse].
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</description>
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</operator>
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<operator name="operator *">
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