# AERN-Real-Interval: arbitrary precision real interval arithmetic

[ bsd3, data, deprecated, library, math ] [ Propose Tags ]
Deprecated. in favor of aern2-mp, aern2-real

A concrete implementation for the refinement-order type classes from AERN-Real in the form of interval arithmetic. The arithmetic supports also anti-consistent intervals (ie [l,r] with l >= r) and maintains monotonicity in the refinement order so that both inner and outer approximations of exact interval expressions can be safely computed.

The package AERN-Real-Double makes it possible to use ordinary machine Double values as endpoints, although limited to its fixed granularity (ie precision).

A package AERN-Real-MPFR will be provided in future to facilitate (via package hmpfr) the use of the MPFR arbitrary granularity (ie precision) floating point numbers as endpoints.

This package does not compile with ghc 7.0.* due to a compiler bug that has been fixed for the 7.2.1 release. Haddock documentation can be found via http://code.google.com/p/aern/wiki/Main.

## Modules

• Numeric
• AERN
• Basics
• Numeric.AERN.Basics.Interval
• RealArithmetic
• Numeric.AERN.RealArithmetic.Interval
• Numeric.AERN.RealArithmetic.Interval.ElementaryFromBasis
• Numeric.AERN.RealArithmetic.Interval.ElementaryFromFieldOps
• Numeric.AERN.RealArithmetic.Interval.Mutable
• Numeric.AERN.RealArithmetic.Interval.Mutable.ElementaryFromFieldOps