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changes according to new package Algebraic Foundations

This commit is contained in:
Michael Hemmer 2007-01-29 10:04:28 +00:00
parent 9ee389b7a5
commit 0b8fd080f3
1 changed files with 17 additions and 16 deletions
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29
Number_types/doc_tex/NumberTypeSupport_ref/Lazy_exact_nt.tex
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@ -7,14 +7,19 @@
\label{lazy_exact_nt}
\ccDefinition
An object of the class \ccc{Lazy_exact_nt<NT>} is able to represent any number
which \ccc{NT} is able to represent. The arithmetic operations it can do are
those \ccc{NT} can do, limited to the 4 basic operations, the square root and
the comparisons.
An object of the class \ccc{Lazy_exact_nt<NT>} is able to represent any
real embeddable number which \ccc{NT} is able to represent.
The arithmetic operations it can do are those guaranteed by the algebraic
concept \ref{af:algebraic_structure_concepts} of \ccc{NT}.
The idea is that \ccc{Lazy_exact_nt<NT>} works exactly like \ccc{NT}, except
that it is faster because it tries to only compute an approximation of the
value, and only refers to \ccc{NT} when needed. The goal is to speed up exact
computations done by any exact but slow number type \ccc{NT}.
that it is expected to be faster because it tries to only compute an
approximation of the value, and only refers to \ccc{NT} when needed.
The goal is to speed up exact computations done by any exact but slow
number type \ccc{NT}.\\
\ccc{NT} must be a model of concept \ccc{RealEmbeddable}. \\
\ccc{NT} must be at least model of concept \ccc{IntegralDomainWithoutDivision}.\\
Note that some filtering mechanism is available at the predicate level
using \ccc{Filtered_predicate} and \ccc{Filtered_kernel}.
@ -22,14 +27,10 @@ using \ccc{Filtered_predicate} and \ccc{Filtered_kernel}.
\ccInclude{CGAL/Lazy_exact_nt.h}
\ccIsModel
FieldNumberType
\ccc{IntegralDomainWithoutDivision} depends on \ccc{NT} \\
\\
\ccc{RealEmbeddable}
\ccTypes
%\ccThreeToTwo
\ccTypedef{typedef NT Exact_type;}{}
\ccGlue
\ccTypedef{typedef Interval_nt<false> Approximate_type;}{}
\ccCreation