AERN-RnToRm-0.3.0.3: AERN-RnToRm.cabal
Name: AERN-RnToRm
Version: 0.3.0.3
Cabal-Version: >= 1.2
Build-Type: Simple
License: BSD3
License-File: LICENCE
Author: Michal Konecny (Aston University)
Copyright: (c) 2007-2008 Michal Konecny
Maintainer: mik@konecny.aow.cz
Stability: experimental
Category: Data, Math
Synopsis: polynomial function enclosures (PFEs) approximating exact real functions
Tested-with: GHC ==6.8.2
Description:
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@.
Extra-source-files:
ChangeLog tests/Demo.hs
Flag containers-in-base
Default: False
Library
hs-source-dirs: src
if flag(containers-in-base)
Build-Depends:
base < 3, binary >= 0.4, AERN-Real >= 0.9.6
else
Build-Depends:
base >= 3, containers, binary >= 0.4, AERN-Real >= 0.9.6
Exposed-modules:
Data.Number.ER.RnToRm,
Data.Number.ER.RnToRm.BisectionTree.Path,
Data.Number.ER.RnToRm.BisectionTree.Integration,
Data.Number.ER.RnToRm.BisectionTree,
Data.Number.ER.RnToRm.DefaultRepr,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Basic,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Elementary,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Field,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Integration,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Eval,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom.Bounds,
Data.Number.ER.RnToRm.UnitDom.ChebyshevBase.Polynom,
Data.Number.ER.RnToRm.UnitDom.Base,
Data.Number.ER.RnToRm.UnitDom.Approx.Interval,
Data.Number.ER.RnToRm.UnitDom.Approx,
Data.Number.ER.RnToRm.Approx.DomTransl,
Data.Number.ER.RnToRm.Approx.PieceWise,
Data.Number.ER.RnToRm.Approx.DomEdges,
Data.Number.ER.RnToRm.Approx.Tuple,
Data.Number.ER.RnToRm.Approx,
Data.Number.ER.RnToRm.TestingDefs
Extensions:
CPP,
DeriveDataTypeable,
FlexibleContexts,
FlexibleInstances,
FunctionalDependencies,
MultiParamTypeClasses,
UndecidableInstances