The AERN-RnToRm package
AERN-RnToRm provides datatypes and abstractions for approximating functions of type D -> R^m where D is a bounded interval in R^n with non-empty interior.
The main datatype are function enclosures whose boundaries are piece-wise polynomial with a bounded degree. (This degree can be set arbitrarily high or as low as 0.) This datatype is supported by safely rounding operations whose precision can be increased arbitrarily, so that they all converge to the exact operations. Field operations, integration, maximisation and some elementary operations (namely exp, sin, cos) are among those already implemented.
For an architectural overview, see module Data.Number.ER.RnToRm.
A mathematical description of the very basics as well as a brief comparison with Taylor Models is included in the paper http://www-users.aston.ac.uk/~konecnym/papers/cfv08.html.
Simple examples of usage can be found in folder demos and a test suite can be run via the module in the folder tests.
Properties
| Versions | 0.3.0, 0.3.0.1, 0.3.0.2, 0.3.0.3, 0.4, 0.4.1, 0.4.2, 0.4.9, 0.4.9.1, 0.5, 0.5.0.1 |
|---|---|
| Change log | ChangeLog |
| Dependencies | AERN-Real (>=0.10 && <0.10.1), base (==3.*), binary (>=0.4), containers, directory, filepath, html (>=1.0), QuickCheck (>=1.2 && <2), time [details] |
| License | BSD3 |
| Copyright | (c) 2007-2009 Michal Konecny, Jan Duracz |
| Author | Michal Konecny (Aston University) |
| Maintainer | mikkonecny@gmail.com |
| Stability | experimental |
| Category | Data, Math |
| Home page | http://www-users.aston.ac.uk/~konecnym/DISCERN |
| Uploaded | Tue Jul 28 23:04:26 UTC 2009 by MichalKonecny |
| Distributions | NixOS:0.5.0.1 |
| Downloads | 3525 total (39 in the last 30 days) |
| Votes | |
| Status | Docs uploaded by user Build status unknown [no reports yet] |
Modules
- Data
- Number
- ER
- Data.Number.ER.RnToRm
- Data.Number.ER.RnToRm.Approx
- Data.Number.ER.RnToRm.BisectionTree
- Data.Number.ER.RnToRm.DefaultRepr
- Data.Number.ER.RnToRm.TestingDefs
- UnitDom
- Data.Number.ER.RnToRm.UnitDom.Approx
- Data.Number.ER.RnToRm.UnitDom.Base
- Tests
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Generate
- Properties
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Bounds
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Common
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Compose
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Division
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Elementary
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Enclosure
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Integration
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Reduce
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Properties.Ring
- Data.Number.ER.RnToRm.UnitDom.Base.Tests.Run
- Tests
- ChebyshevBase
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Basic
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Bounds
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Compose
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Derivative
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Division
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.DivisionInner
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Elementary
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.ElementaryInner
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Enclosure
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.EnclosureInner
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Eval
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Integration
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Reduce
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Ring
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom
- Data.Number.ER.RnToRm
- ER
- Number
[Index]
Downloads
- AERN-RnToRm-0.5.tar.gz [browse] (Cabal source package)
- Package description (included in the package)