Data.Number.ER.RnToRm.DefaultRepr

This module supplies default instances for the real number and function classes described in Data.Number.ER.RnToRm.

These classes form loosely coupled boundaries between abstraction layers. Nevertheless, we usually have particular implementations in mind, as shown here.

To preserve the intended loose coupling, please use these definitions only in functions that cannot infer from their input or output data which type of function enclosures they should use. Eg a function to add 1 to an enclosure should have the type:

 add1 :: (ERFnApprox box varid domra ranra fa) => fa -> fa
 add1 f = f + 1

and not: add1 :: FAPWP -> FAPWP

Documentation

type FAPU = ERFnInterval (ERChebPoly (Box Int) B) IRA

type FAPD = ERFnDomTranslApprox (Box (DomTransl IRA)) VarID FAPU IRA

type FAPT = ERFnTuple FAPD

type FAPE = ERFnDomEdgesApprox VarID FAPT

type FAPWP = ERFnPiecewise (Box IRA) VarID IRA FAPE

type FA = FAPWP

module Data.Number.ER.Real.DomainBox.IntMap