The [AABB] built-in [Variant] type represents an axis-aligned bounding box in a 3D space. It is defined by its [member position] and [member size], which are [Vector3]. It is frequently used for fast overlap tests (see [method intersects]). Although [AABB] itself is axis-aligned, it can be combined with [Transform3D] to represent a rotated or skewed bounding box.
It uses floating-point coordinates. The 2D counterpart to [AABB] is [Rect2]. There is no version of [AABB] that uses integer coordinates.
[b]Note:[/b] Negative values for [member size] are not supported. With negative size, most [AABB] methods do not work correctly. Use [method abs] to get an equivalent [AABB] with a non-negative size.
[b]Note:[/b] In a boolean context, a [AABB] evaluates to [code]false[/code] if both [member position] and [member size] are zero (equal to [constant Vector3.ZERO]). Otherwise, it always evaluates to [code]true[/code].
Returns an [AABB] equivalent to this bounding box, with its width, height, and depth modified to be non-negative values.
[codeblocks]
[gdscript]
var box = AABB(Vector3(5, 0, 5), Vector3(-20, -10, -5))
var absolute = box.abs()
print(absolute.position) # Prints (-15, -10, 0)
print(absolute.size) # Prints (20, 10, 5)
[/gdscript]
[csharp]
var box = new Aabb(new Vector3(5, 0, 5), new Vector3(-20, -10, -5));
var absolute = box.Abs();
GD.Print(absolute.Position); // Prints (-15, -10, 0)
GD.Print(absolute.Size); // Prints (20, 10, 5)
[/csharp]
[/codeblocks]
[b]Note:[/b] It's recommended to use this method when [member size] is negative, as most other methods in Godot assume that the [member size]'s components are greater than [code]0[/code].
Returns the position of one of the 8 vertices that compose this bounding box. With a [param idx] of [code]0[/code] this is the same as [member position], and a [param idx] of [code]7[/code] is the same as [member end].
Returns the longest normalized axis of this bounding box's [member size], as a [Vector3] ([constant Vector3.RIGHT], [constant Vector3.UP], or [constant Vector3.BACK]).
[codeblocks]
[gdscript]
var box = AABB(Vector3(0, 0, 0), Vector3(2, 4, 8))
print(box.get_longest_axis()) # Prints (0, 0, 1)
print(box.get_longest_axis_index()) # Prints 2
print(box.get_longest_axis_size()) # Prints 8
[/gdscript]
[csharp]
var box = new Aabb(new Vector3(0, 0, 0), new Vector3(2, 4, 8));
GD.Print(box.GetLongestAxis()); // Prints (0, 0, 1)
GD.Print(box.GetLongestAxisIndex()); // Prints 2
GD.Print(box.GetLongestAxisSize()); // Prints 8
[/csharp]
[/codeblocks]
See also [method get_longest_axis_index] and [method get_longest_axis_size].
Returns the index to the longest axis of this bounding box's [member size] (see [constant Vector3.AXIS_X], [constant Vector3.AXIS_Y], and [constant Vector3.AXIS_Z]).
Returns the shortest normaalized axis of this bounding box's [member size], as a [Vector3] ([constant Vector3.RIGHT], [constant Vector3.UP], or [constant Vector3.BACK]).
[codeblocks]
[gdscript]
var box = AABB(Vector3(0, 0, 0), Vector3(2, 4, 8))
print(box.get_shortest_axis()) # Prints (1, 0, 0)
print(box.get_shortest_axis_index()) # Prints 0
print(box.get_shortest_axis_size()) # Prints 2
[/gdscript]
[csharp]
var box = new Aabb(new Vector3(0, 0, 0), new Vector3(2, 4, 8));
GD.Print(box.GetShortestAxis()); // Prints (1, 0, 0)
GD.Print(box.GetShortestAxisIndex()); // Prints 0
GD.Print(box.GetShortestAxisSize()); // Prints 2
[/csharp]
[/codeblocks]
See also [method get_shortest_axis_index] and [method get_shortest_axis_size].
Returns the index to the shortest axis of this bounding box's [member size] (see [constant Vector3.AXIS_X], [constant Vector3.AXIS_Y], and [constant Vector3.AXIS_Z]).
Returns the vertex's position of this bounding box that's the farthest in the given direction. This point is commonly known as the support point in collision detection algorithms.
Returns [code]true[/code] if the bounding box contains the given [param point]. By convention, points exactly on the right, top, and front sides are [b]not[/b] included.
[b]Note:[/b] This method is not reliable for [AABB] with a [i]negative[/i] [member size]. Use [method abs] first to get a valid bounding box.
Returns [code]true[/code] if this bounding box has a surface or a length, that is, at least one component of [member size] is greater than [code]0[/code]. Otherwise, returns [code]false[/code].
Returns the intersection between this bounding box and [param with]. If the boxes do not intersect, returns an empty [AABB]. If the boxes intersect at the edge, returns a flat [AABB] with no volume (see [method has_surface] and [method has_volume]).
[codeblocks]
[gdscript]
var box1 = AABB(Vector3(0, 0, 0), Vector3(5, 2, 8))
var box2 = AABB(Vector3(2, 0, 2), Vector3(8, 4, 4))
var intersection = box1.intersection(box2)
print(intersection.position) # Prints (2, 0, 2)
print(intersection.size) # Prints (3, 2, 4)
[/gdscript]
[csharp]
var box1 = new Aabb(new Vector3(0, 0, 0), new Vector3(5, 2, 8));
var box2 = new Aabb(new Vector3(2, 0, 2), new Vector3(8, 4, 4));
var intersection = box1.Intersection(box2);
GD.Print(intersection.Position); // Prints (2, 0, 2)
GD.Print(intersection.Size); // Prints (3, 2, 4)
[/csharp]
[/codeblocks]
[b]Note:[/b] If you only need to know whether two bounding boxes are intersecting, use [method intersects], instead.
Returns [code]true[/code] if this bounding box and [param aabb] are approximately equal, by calling [method Vector2.is_equal_approx] on the [member position] and the [member size].
Returns [code]true[/code] if this bounding box's values are finite, by calling [method Vector2.is_finite] on the [member position] and the [member size].
The ending point. This is usually the corner on the top-right and forward of the bounding box, and is equivalent to [code]position + size[/code]. Setting this point affects the [member size].
The bounding box's width, height, and depth starting from [member position]. Setting this value also affects the [member end] point.
[b]Note:[/b] It's recommended setting the width, height, and depth to non-negative values. This is because most methods in Godot assume that the [member position] is the bottom-left-back corner, and the [member end] is the top-right-forward corner. To get an equivalent bounding box with non-negative size, use [method abs].
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).
[code]aabb * transform[/code] is equivalent to [code]transform.inverse() * aabb[/code]. See [method Transform3D.inverse].
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].
