Coordinates

Coordinates is a Java library designed to handle coordinate systems (including curvilinear, non-orthogonal ones).

Some of the supported features include:

• coordinate systems take units into account. For example

  CoordinateSystem csys  = new CartesianCoordinates(3); // use constructor directly. 3 for 3D
  CoordinateSystem csys2 = CoordinateSystem.from("cart", 3, new Axis(0, "km")); // string-based construction
  double[] pos = {1000, 2, 3};
  CoordinateSystems.transform(pos, csys, csys2); // yields {1,2,3} as "m" is the default

• numerical implementations for a lot of functions, e.g. the metric tensor, gradients, divergences etc.
• for the coordinate systems shipped symbolic implementations are provided where possible
• a python script to easily create full symbolic implementations, including examples (e.g. here) from the shipped implementations generated via the script
• full implementations:
  • Cartesian coordinates (nD)
  • Polar coordinates (2D)
  • Bipolar coordinates (2D)
  • Bispherical coordinates (3D)
  • Cylindrical coordinates (3D)
  • Oblate spheroidal coordinates (3D)
  • Prolate spheroidal coordinates (3D)
  • 6-sphere coordinates (3D)
  • Spherical coordinates (nD)
  • Toroidal coordinates (3D)

Installation

The artifact can be found at maven central:

<dependency>
    <groupId>eu.hoefel</groupId>
    <artifactId>coordinates</artifactId>
    <version>1.1.5</version>
</dependency>

Requirements

Coordinates is designed to work with Java 17+.