arbitrary precision real interval arithmetic.
Type classes abstracting typical approximate real number arithmetic operations including rounded field operations and common elementary operations. Two kinds of rounding are supported: rounding up/down in the numerical order or rounding in/out in a refinement order.
A concrete implementation of refinement order rounded operations is given for intervals in the package AERN-Real-Interval. Concrete implementations of up/down rounded operations is given in AERN-Real-Double for ordinary Double fixed-precision numbers. These can serve as interval endpoints. In a future release also MPFR arbitrary-precision numbers will be made available as interval 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.