%% Working with floating point numbers
%
%% Floating point numbers
% One of the limitations with computers is the way that we have to
% represent real numbers. In a theoretical sense the real numbers has
% infinite range and infinite precision, however when we want to represent
% these numbers in a machine using the standard numerical representation
% for a variety of reasons we
% lose these properties.
%
% Matlab and most computers use the IEEE 754 floating point standard. The
% standard defines the way real numbers can be represented from the bit
% level including the results of operations, and exceptions.
%
% A full discussion of the standard is beyond the scope of this document we
% refer the interested reader to <http://www.mathworks.com/help/techdoc/matlab_prog/f2-12135.html Matlab's documentation> as well as the
% <http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4610935&tag=1
% standard documentation>
%
%% Proving tables with floating point numbers
%
% The toolbox has support for proving tables with floating point inputs.
% Currently only PVS is supported for this feature, and in general manual
% intervention with the prover will likely be required.
%
% Several new types are provided which can be used as anyother type in the input and output fields.
% 
% 
% * single - a finite or infinite single precision number
% * single_finite - a finite single precision number
% * double - a finite or infinite double precision number
% * double_finite - a finite double precision number
%
% A sample input string might be "x:double_finite, y:double_finite". The
% same rules for subtyping still apply, as it may be necessary to subtype
% inputs in order to get them to typecheck properly.
%