A 3D axis-aligned bounding box. 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]. $DOCS_URL/tutorials/math/index.html $DOCS_URL/tutorials/math/vector_math.html $DOCS_URL/tutorials/math/vectors_advanced.html Constructs an [AABB] with its [member position] and [member size] set to [constant Vector3.ZERO]. Constructs an [AABB] as a copy of the given [AABB]. Constructs an [AABB] by [param position] and [param size]. 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 [code]true[/code] if this bounding box [i]completely[/i] encloses the [param with] box. The edges of both boxes are included. [codeblocks] [gdscript] var a = AABB(Vector3(0, 0, 0), Vector3(4, 4, 4)) var b = AABB(Vector3(1, 1, 1), Vector3(3, 3, 3)) var c = AABB(Vector3(2, 2, 2), Vector3(8, 8, 8)) print(a.encloses(a)) # Prints true print(a.encloses(b)) # Prints true print(a.encloses(c)) # Prints false [/gdscript] [csharp] var a = new Aabb(new Vector3(0, 0, 0), new Vector3(4, 4, 4)); var b = new Aabb(new Vector3(1, 1, 1), new Vector3(3, 3, 3)); var c = new Aabb(new Vector3(2, 2, 2), new Vector3(8, 8, 8)); GD.Print(a.Encloses(a)); // Prints True GD.Print(a.Encloses(b)); // Prints True GD.Print(a.Encloses(c)); // Prints False [/csharp] [/codeblocks] Returns a copy of this bounding box expanded to align the edges with the given [param to_point], if necessary. [codeblocks] [gdscript] var box = AABB(Vector3(0, 0, 0), Vector3(5, 2, 5)) box = box.expand(Vector3(10, 0, 0)) print(box.position) # Prints (0, 0, 0) print(box.size) # Prints (10, 2, 5) box = box.expand(Vector3(-5, 0, 5)) print(box.position) # Prints (-5, 0, 0) print(box.size) # Prints (15, 2, 5) [/gdscript] [csharp] var box = new Aabb(new Vector3(0, 0, 0), new Vector3(5, 2, 5)); box = box.Expand(new Vector3(10, 0, 0)); GD.Print(box.Position); // Prints (0, 0, 0) GD.Print(box.Size); // Prints (10, 2, 5) box = box.Expand(new Vector3(-5, 0, 5)); GD.Print(box.Position); // Prints (-5, 0, 0) GD.Print(box.Size); // Prints (15, 2, 5) [/csharp] [/codeblocks] Returns the center point of the bounding box. This is the same as [code]position + (size / 2.0)[/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]). For an example, see [method get_longest_axis]. Returns the longest dimension of this bounding box's [member size]. For an example, see [method get_longest_axis]. Returns the shortest 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_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]). For an example, see [method get_shortest_axis]. Returns the shortest dimension of this bounding box's [member size]. For an example, see [method get_shortest_axis]. 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 the bounding box's volume. This is equivalent to [code]size.x * size.y * size.z[/code]. See also [method has_volume]. Returns a copy of this bounding box extended on all sides by the given amount [param by]. A negative amount shrinks the box instead. [codeblocks] [gdscript] var a = AABB(Vector3(4, 4, 4), Vector3(8, 8, 8)).grow(4) print(a.position) # Prints (0, 0, 0) print(a.size) # Prints (16, 16, 16) var b = AABB(Vector3(0, 0, 0), Vector3(8, 4, 2)).grow(2) print(b.position) # Prints (-2, -2, -2) print(b.size) # Prints (12, 8, 6) [/gdscript] [csharp] var a = new Aabb(new Vector3(4, 4, 4), new Vector3(8, 8, 8)).Grow(4); GD.Print(a.Position); // Prints (0, 0, 0) GD.Print(a.Size); // Prints (16, 16, 16) var b = new Aabb(new Vector3(0, 0, 0), new Vector3(8, 4, 2)).Grow(2); GD.Print(b.Position); // Prints (-2, -2, -2) GD.Print(b.Size); // Prints (12, 8, 6) [/csharp] [/codeblocks] 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 [code]true[/code] if this bounding box's width, height, and depth are all positive. See also [method get_volume]. 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 overlaps with the box [param with]. The edges of both boxes are [i]always[/i] excluded. Returns [code]true[/code] if this bounding box is on both sides of the given [param plane]. Returns the first point where this bounding box and the given ray intersect, as a [Vector3]. If no intersection occurs, returns [code]null[/code]. The ray begin at [param from], faces [param dir] and extends towards infinity. Returns the first point where this bounding box and the given segment intersect, as a [Vector3]. If no intersection occurs, returns [code]null[/code]. The segment begins at [param from] and ends at [param to]. Returns [code]true[/code] if this bounding box and [param aabb] are approximately equal, by calling [method Vector3.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 Vector3.is_finite] on the [member position] and the [member size]. Returns an [AABB] that encloses both this bounding box and [param with] around the edges. See also [method encloses]. The ending point. This is usually the corner on the top-right and back of the bounding box, and is equivalent to [code]position + size[/code]. Setting this point affects the [member size]. The origin point. This is usually the corner on the bottom-left and forward of the bounding box. 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-forward corner, and the [member end] is the top-right-back corner. To get an equivalent bounding box with non-negative size, use [method abs]. Returns [code]true[/code] if the [member position] or [member size] of both bounding boxes are not equal. [b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable. 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]. Returns [code]true[/code] if both [member position] and [member size] of the bounding boxes are exactly equal, respectively. [b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable.