Clearly for any interval analysis method that deal with a problem
involving expressions it is necessary to have a program that is able
to interval evaluate these expressions. We will see also that having a
program to interval evaluate the first and second derivatives may help
to solve the problem. `ALIAS`-Maple provides various procedures
that allow to create automatically such C++ program, being given only
the expressions in `Maple`. These procedures will be presented in
the next section. For testing purposes it may be interesting to have
in `Maple` a procedure that interval evaluate an expression: such
procedure will be presented in section 2.2. Special C++ code
generating procedures will be presented in the section 2.3.

- Equations, Gradient and Hessian
`MakeF, MakeJ, MakeH`- Improving the efficiency of the code
- Function involving determinants
- Dealing with undefined expressions
- Interval valuation and the
`Problem_Expression`package

- Interval evaluation of an expression in
`Maple` - Generating code

Jean-Pierre Merlet 2012-12-20