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# jdinkla / GeomAlgLib

A library of geometric algorithms and data structures for Haskell

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# GeomAlgLib

This project contains algorithms and datastructures for some geometric problems.

The code was written in 1998 for a diploma thesis.

Since 2016 stack is used as a build tool.

The library contains:

• datastructures for points, lines, segments, rays, polygons and functions like calculations of angles, area, etc.
• datastructures for efficient orthogonal range queries: kd-trees and rangetrees
• algorithms for two dimensional convex hulls: Jarvis March, Grahams Scan, Merge-Hull, the algorithm of Kirkpatrick and Seidel and Chan's algorithmus
• algorithms for the triangulation of simple polygons: two simple but inefficient algorithms, the "standard"-algorithm of Garey, Johnson, Preparata and Tarjan and two output-sensitive algorithms of Toussaint
• the quad-edge data structure (QEDS) for planar subdivisions and polyhedra
• algorithms for Delaunay-triangulations and Voronoi-diagrams in two dimensions: the divide & conquer-algorithms of Stolfi and Guibas, which uses the QEDS and a randomised incremental algorithms by Boissonnat and Teillaud, which uses the delaunay-dag.
• and some applications in two dimensions, like all-next-neighbors, the next post office, the largest empty circle and the closest pair in any dimension.

## Building

You can build it with stack.

`\$ stack build`

The following programs are created:

• glConvexHulls
• rangeQueries
• voronoiDelaunay
• convexHulls
• nearest
• triangulations

You can execute them with

`\$ stack NAME`

For example

`\$ stack rangeQueries`

## Thanks

Thanks to Gauthier Segay for his cabal integration and Schell Carl Scivally for bug fixes.

## About

A library of geometric algorithms and data structures for Haskell

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