## EXACT GEOMETRIC COMPUTATION:## OTHER LINKS |

- RealExpr (by Chee Yap, Tom Dube and Kouji Ouchi)
*Real Expr Package -- original implementation of Core Library!***EXACUS-webdemo***This great web-demo allows to you to input arbitrary bivariate polynomials, and it will analyse and render the corresponding real plane algebraic curves.***Experimental Data and Code***for the paper*

``Adaptive Isotopic Approximation of Nonsingular Curves: the parametric and nonlocal isotopy approach'',

Discrete & Comp.Geometry, 45(4)2011, pp.760-795 (also, 25th SoCG 2009).**Classroom Examples of Nonrobust Geometric Computation***a resource page of source code, data and images based on our paper by this name.***University of Tokyo. -->****GeometryFactory***Core Library is now distributed as one of GeometryFactory's exact number types***QuickMul (by Chee Yap and Chen Li)***Notes on a practical fast multiplication algorithm. The implementation is simple and direct. It will work for numbers up to 32 Megabytes. Rules of the game: (1) use FFT but no recursive call to multiplication allowed; (2) assume 32-bit machine arithmetic. Download of an implementation. Experimental results compared to GNU's gmp and CLN are described.***Eigensolve: a polynomial root solver***A fast algorithm for complex root approximation from Steve Fortune at Bell Labs.***Digital Library of Mathematical Functions (DLMF)***from NIST. ``The digital Abraham and Stegun''. Content.***The Finite Element Circus****Mathematical Constants and Transcendental Functions:**- Xavier Gourdon and Pascal Sebah's page on Mathematical Constants, fast algorithms for their computation, programs, etc.
- Steven Finch's Essays on Mathematical Constants.
- Christian Gut's Tutorial on Hypergeometric Functions.

**Interval Methods and IEEE Arithmetic****People**- Richard Brent
- David Hough
- Simon Langley has a page on the Uniformity Conjecture of Daniel Richardson
- Norbert Mueller at University of Trier.
- Jean-Michel Muller at Ecole Normale Superiere, Lyon.
- Maurice Rojas at TAMU
- Abbas Edalat at Imperial College

**Java Numerics: working group in Java Grande Forum**- SciMark 2.0: Java numerical benchmark. Others may be found at the javaNumerics page.
- Java Ultimate Math Package (JUMP): provides smooth transition from native datatypes and JDK number types to JUMP classes. JUMP Homepage.

**Meshing and Triangulation**- Cart3D Package:
- A high-fidelity package for automated analysis of inviscid flows in complex geometric models from NASA Ames. Cartesian meshing is used.
- Triangulation and Meshing Packages:
- GNU Triangulated Surface (GTS) Library from sourceforge. The GTS Library has many basic models.
- Mesh Viewer:
- a lightweight application for viewing triangular meshes using the OpenGL API to render models from various file formats. Developed by Helmut Cantzler.

**Major Software Libraries**- LEDA Project:
- A Library of Efficient Data Structures and Algorithms, from the Max-Planck Institute of Computer Science.
- Local Copy of the Web Manual
- Algorithmic Solutions: an offshoot of the LEDA project.
- CGAL Library
- A Computational Geometry Algorithms Library.
- Geometry Factory
- an offshoot of the CGAL project.

**Big Number Packages and Software for Exact Computation:**- GNU MP Home:
- GNU's celebrated library for arbitrary precision arithmetic!
- PRECISE:
- Shankar Krishna's arbitrary precision library for reliable numeric and geometric computation.
- LiDIA Project:
- A C++ Library for Computational Number Theory.
- MPFUN Library:
- A multiprecision software package from David Bailey.
- CLN Package:
- A multiprecision software package from Bruno Haible.
- NTL from Victor Shoup. NTL is a portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields.
- XR (Exact Real Arithmetic) from Keith Briggs, built on NTL.
- Floating Point Expansions: code and papers from Marc Daumas in the Arenaire Project (France).
- Exact Real Arithmetic from Abbas Edalat at Imperial College : domain theory viewpoint, applied to differential equations, etc.

**Online Bibliography List from SUNY Stony Brook (Comp.Sci. Bibliographies, Geom.bib, etc)****Patent on efficient and reliable evaluation of mathematical functions****Software Development Tools:**- SUN Workshop Documentation:
- Compilers and software tools from SUN.
- VALGRIND: memory debugger from KDE development