geometrypoint

GEOMETRYPoint is a fundamental geometric primitive that represents a location in space. It is commonly defined in two or three dimensions. In two dimensions, a point is specified by coordinates (x, y) in a Cartesian plane; in three dimensions, (x, y, z). In geographic contexts, coordinates may be expressed as latitude and longitude (and optionally height) under a specific reference system.

Representation and data types vary by implementation. A GEOMETRYPoint is typically stored as a pair or triple of numbers. Some libraries treat the point as immutable, while others allow modifying its coordinates. Floating point types are common, with attention paid to numerical precision; some applications use fixed-point representations for exactness.

Core operations commonly supported include calculating distance to another point, which uses the Euclidean formula sqrt(dx^2 + dy^2 (+ dz^2)). Points can be translated by a vector, rotated around a pivot, or scaled. They participate in higher-level affine transformations and serve as the basis for constructing lines, curves, and polygons. Equality checks compare coordinates, and some contexts apply a tolerance to account for floating point errors.

Applications and usage contexts span geographic information systems, computer graphics, CAD, and computational geometry libraries. GEOMETRYPoint serves as the building block for more complex geometries and interfaces with spatial indexes, coordinate reference systems, and data serialization formats. In GIS, points may be associated with metadata such as coordinate reference system (CRS) identifiers, units, or timestamps, depending on the domain requirements.