Protocols

Protocol for 2D geometric types defined by floating-point vectors that form closed convex shapes.

Protocol for geometric types that have an internal volumetric area that can be queried with Vectors for containment checks.

Protocol for 2D line types where the vectors are floating-point vectors.

Protocol for 2D line types where the vectors are multiplicative vectors.

Protocol for 2D line types where the vectors are real vectors.

Protocol for 2D line types where the vectors are signed vectors.

A line that is described by two 2-dimensional vectors.

A 1D plane in 2D space that can be intersected with other intersectable planes, producing intersection lines.

A plane-intersectable plane is implicitly a line-intersectable plane as well.

Protocol for rectangle geometric types that can be constructed with location and size.

Rectangle types that cannot be constructed with arbitrary location or sizes (e.g. NSquare has location but size is restricted to a single side length scalar) should not conform to this protocol, instead use base protocol RectangleType.

Protocol refining RectangleType with VectorDivisible extensions.

Divisible rectangle types can be split into smaller rectangles, as well as be inflated/inset.

Protocol for geometric types defined by vectors that fill enclosed rectangular areas with a defined location and size.

Protocol for 2D types that support addition and subtraction.

Protocol for 2D vector types where the components are floating-point numbers.

Protocol for 2D vector types with multiplicative scalars.

Protocol for 2D real vector types.

Protocol for 2D vector types where the components are signed numbers.

Protocol for types that can represent 2D vectors.

A projective space for 2D planes.

A projected space laying on the surface of a 3-dimensional sphere, with a 2-dimensional underlying space where vectors represent the azimuth (XY angle of the points) and elevation (the angle between the point and the XY-plane on the sphere).

Protocol for 3D geometric types defined by floating-point vectors that form closed convex shapes.

Protocol for general geometric types that can be intersected with 3D lines.

Protocol for 3D line types where the vectors are floating-point vectors.

A line that is described by two 3-dimensional vectors.

A plane that represents a flat 2D surface in 3D space.

A 2D plane in 3D space that can be intersected with other intersectable planes, producing intersection lines.

A plane-intersectable plane is implicitly a line-intersectable plane as well.

Protocol for 3D vector types with additive scalars.

Protocol for 3D vector types where the components are floating-point numbers

Protocol for 3D vector types with multiplicable scalars.

Protocol for 3D vector types where the components are Real numbers

Protocol for types that can represent 3D vectors.

Protocol for 4D vector types with additive scalars.

Protocol for 4D vector types where the components are floating-point numbers

Protocol for types that can represent 4D vectors.

A protocol for projective spaces, where lower-dimensional spaces can be represented as embedded in higher dimensional features, like a point on a 2D plane in 3D.

Protocol for general geometric types that can be fitted into a finite, non-empty axis-aligned bounding box.

Protocol for N-dimensional geometric types defined by floating-point vectors that form closed convex shapes which can be intersected by lines.

A general geometric type.

Protocol for general geometric types that can be intersected with lines.

Protocol for geometric types that support vector projection operations.

Types conforming to this protocol expose a function that can project an arbitrary vector onto their surface.

Represents an object that exposes a single function that returns the signed distance to the closest point on the surface of a geometry.

A type with values that support division.

Protocol for objects that form geometric lines with two VectorAdditive vectors representing two points on the line.

Protocol for objects that form geometric lines with two VectorDivisible vectors representing two points on the line.

Protocol for objects that form geometric lines with two floating-point vectors representing two points on the line.

Protocol for objects that form geometric lines with two VectorMultiplicative vectors representing two points on the line.

Protocol for objects that form geometric lines with two VectorReal vectors representing two points on the line.

Protocol for objects that form geometric lines with two VectorSigned vectors representing two points on the line.

Protocol for objects that form geometric lines with at least two distinct points the line is guaranteed to cross.

Represents a plane type that has support for line-intersection.

Represents a plane in N-dimensional space with a center point and a normal vector.

Represents a plane type that has support for point-projection.

Protocol refining RectangleType with VectorAdditive extensions.

Protocol for rectangle geometric types that can be combined as intersection and unions with other rectangles of the same type.

Represents a VectorType with addition and subtraction arithmetic operators available.

Represents a VectorType with comparison operators available.

Represents a VectorType with support for division.

Protocol for vector types where the components are floating-point numbers

Protocol for Vectors that support multiplication

Protocol for vector types where the components are real numbers.

Vector type where the components are signed numbers.

Protocol that vector types conform to to indicate that different combinations of their dimensions can be extracted into other known N-dimensional vector types.

Protocol for N-dimensional vector types.

Protocol for Matrix types.

Protocol for square matrices, or matrices with the same number of rows and columns.

Protocol for matrices that support transposition.