Difference between revisions of "Applications and libraries/Mathematics"

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(This is a huge topic embracing many different approaches, and raises questions rooted deeply in computabibity theory, so it deserves its own wikipage)
(subsection for linear algebra)
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== Libraries for numerical algorithms and mathematics ==
 
== Libraries for numerical algorithms and mathematics ==
   
;[http://www.dinkla.net/fp/cglib.html Geometric Algorithms]
 
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=== Linear algebra ===
:A small Haskell library, containing algorithms for two-dimensional convex hulls, triangulations of polygons, Voronoi-diagrams and Delaunay-triangulations, the QEDS data structure, kd-trees and range-trees.
 
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;[http://dis.um.es/~alberto/GSLHaskell GSLHaskell]
 
:High level functional interface to standard linear algebra computations and other numerical algorithms based on the GNU Scientific Library.
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;[http://www.isi.edu/~hdaume/HBlas/ Wrapper to CLAPACK]
   
 
;[http://haskelldsp.sourceforge.net/ Digital Signal Processing]
 
;[http://haskelldsp.sourceforge.net/ Digital Signal Processing]
 
:Modules for matrix manpulation, digital signal processing, spectral estimation, and frequency estimation.
 
:Modules for matrix manpulation, digital signal processing, spectral estimation, and frequency estimation.
  +
 
;[http://article.gmane.org/gmane.comp.lang.haskell.general/13561 Index-aware linear algebra]
 
:Frederik Eaton's library for statically checked matrix manipulation in Haskell
  +
  +
;Indexless linear algebra algorithms by Jan Skibinski, see below
  +
  +
  +
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=== other ===
  +
 
;[http://www.dinkla.net/fp/cglib.html Geometric Algorithms]
 
:A small Haskell library, containing algorithms for two-dimensional convex hulls, triangulations of polygons, Voronoi-diagrams and Delaunay-triangulations, the QEDS data structure, kd-trees and range-trees.
   
 
;[http://www.info.unicaen.fr/~karczma/arpap/ Papers by Jerzy Karczmarczuk]
 
;[http://www.info.unicaen.fr/~karczma/arpap/ Papers by Jerzy Karczmarczuk]
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;[http://www.robtougher.com/HaskellMath/ HaskellMath]
 
;[http://www.robtougher.com/HaskellMath/ HaskellMath]
 
:The HaskellMath library is a sandbox for experimenting with mathematics algorithms. So far I've implemented a few quantitative finance models (Black Scholes, Binomial Trees, etc) and basic linear algebra functions. Next I might work on either computer algebra or linear programming. All comments welcome!
 
:The HaskellMath library is a sandbox for experimenting with mathematics algorithms. So far I've implemented a few quantitative finance models (Black Scholes, Binomial Trees, etc) and basic linear algebra functions. Next I might work on either computer algebra or linear programming. All comments welcome!
 
;[http://www.isi.edu/~hdaume/HBlas/ Wrapper to CLAPACK]
 
 
;[http://dis.um.es/~alberto/GSLHaskell GSLHaskell]
 
:High level functional interface to standard linear algebra computations and other numerical algorithms based on the GNU Scientific Library.
 
   
 
;[http://cvs.haskell.org/darcs/numericprelude/ Numeric Prelude]
 
;[http://cvs.haskell.org/darcs/numericprelude/ Numeric Prelude]
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;[http://darcs.haskell.org/~lemmih/hode/ HODE]
 
;[http://darcs.haskell.org/~lemmih/hode/ HODE]
 
:HODE is a binding to the Open Dynamics Engine. ODE is an open source, high performance library for simulating rigid body dynamics.
 
:HODE is a binding to the Open Dynamics Engine. ODE is an open source, high performance library for simulating rigid body dynamics.
 
;[http://article.gmane.org/gmane.comp.lang.haskell.general/13561 Index-aware linear algebra]
 
:Frederik Eaton's library for statically checked matrix manipulation in Haskell
 

Revision as of 17:34, 19 May 2006

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This page contains a list of libraries and tools in a certain category. For a comprehensive list of such pages, see Applications and libraries.

Libraries for numerical algorithms and mathematics

Linear algebra

GSLHaskell
High level functional interface to standard linear algebra computations and other numerical algorithms based on the GNU Scientific Library.
Wrapper to CLAPACK
Digital Signal Processing
Modules for matrix manpulation, digital signal processing, spectral estimation, and frequency estimation.
Index-aware linear algebra
Frederik Eaton's library for statically checked matrix manipulation in Haskell
Indexless linear algebra algorithms by Jan Skibinski, see below


other

Geometric Algorithms
A small Haskell library, containing algorithms for two-dimensional convex hulls, triangulations of polygons, Voronoi-diagrams and Delaunay-triangulations, the QEDS data structure, kd-trees and range-trees.
Papers by Jerzy Karczmarczuk
Some interesting uses of Haskell in mathematics, including functional differentiation, power series, continued fractions.
DoCon - Algebraic Domain Constructor
A Computer Algebra System
Decimal arithmetic library
An implementation of real decimal arithmetic, for cases where the binary floating point is not acceptable (for example, money).
HaskellMath
The HaskellMath library is a sandbox for experimenting with mathematics algorithms. So far I've implemented a few quantitative finance models (Black Scholes, Binomial Trees, etc) and basic linear algebra functions. Next I might work on either computer algebra or linear programming. All comments welcome!
Numeric Prelude
Experimental revised framework for numeric type classes.
Exact real arithmetic
is an interesting area: it is a deep connection between numeric methods and deep theoretic fondations of algorithms (and mathematics). Its topic: computable real numbers raise a lot of interesting questions rooted in mathematical analysis, arithmetic, but also computability theory (see numbers-as-programs approaches). Computable reals can be achieved by many approaches -- it is not one single theory.
Adaptive Simulated Annealing
A Haskell interface to Lester Ingber's adaptive simulating annealing code.
Number Theory Library
Andrew Bromage's Haskell number theory library, providing operations on primes, fibonacci sequences and combinatorics.
Hmm: Haskell Metamath
Hmm is a small Haskell library to parse and verify Metamath databases.
Probabilistic Functional Programming
The PFP library is a collection of modules for Haskell that facilitates probabilistic functional programming, that is, programming with stochastic values. The probabilistic functional programming approach is based on a data type for representing distributions. A distribution represent the outcome of a probabilistic event as a collection of all possible values, tagged with their likelihood. A nice aspect of this system is that simulations can be specified independently from their method of execution. That is, we can either fully simulate or randomize any simulation without altering the code which defines it.
Mirror of the following numeric modules by Jan Skibinski
Sinc function
Boolean
A general boolean algebra class and some instances for Haskell.
HODE
HODE is a binding to the Open Dynamics Engine. ODE is an open source, high performance library for simulating rigid body dynamics.