AERN-RnToRm: polynomial function enclosures (PFEs) approximating exact real functions
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 module Demo.hs
in folder tests
.
Modules
[Index]
- 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
- 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.Elementary
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Eval
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Field
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Integration
- Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom
- Data.Number.ER.RnToRm
- ER
- Number
Flags
Automatic Flags
Name | Description | Default |
---|---|---|
containers-in-base | Disabled |
Use -f <flag> to enable a flag, or -f -<flag> to disable that flag. More info
Downloads
- AERN-RnToRm-0.4.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)
Maintainer's Corner
For package maintainers and hackage trustees
Candidates
- No Candidates
Versions [RSS] | 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 (>=0.9.6), base, binary (>=0.4), containers [details] |
License | BSD-3-Clause |
Copyright | (c) 2007-2008 Michal Konecny |
Author | Michal Konecny (Aston University) |
Maintainer | mik@konecny.aow.cz |
Category | Data, Math |
Uploaded | by MichalKonecny at 2008-08-20T21:25:16Z |
Distributions | |
Reverse Dependencies | 3 direct, 0 indirect [details] |
Downloads | 11235 total (40 in the last 30 days) |
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