\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - Monotone and Sorted Matrix Search
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SortedMatrixSearchTraits Concept Reference
Concepts

Definition

The concept SortedMatrixSearchTraits defines types and operations needed to compute the smallest entry in a set of sorted matrices that fulfills a certain feasibility criterion using the function CGAL::sorted_matrix_search.

Has Models:
CGAL::Sorted_matrix_search_traits_adaptor<F,M>
See Also
CGAL::sorted_matrix_search()
BasicMatrix

Types

typedef unspecified_type Matrix
 The class used for representing matrices. More...
 
typedef Matrix::Value Value
 The class used for representing the matrix elements.
 
typedef unspecified_type Compare_strictly
 An adaptable binary function class: Value \( \times\) Value \( \rightarrow\) bool defining a non-reflexive total order on Value. More...
 
typedef unspecified_type Compare_non_strictly
 An adaptable binary function class: Value \( \times\) Value \( \rightarrow\) bool defining the reflexive total order on Value corresponding to Compare_strictly.
 

Operations

Compare_strictly compare_strictly () const
 returns the Compare_strictly object to be used for the search.
 
Compare_non_strictly compare_non_strictly () const
 returns the Compare_non_strictly object to be used for the search.
 
bool is_feasible (const Value &a)
 The predicate to determine whether an element a is feasible. More...
 

Member Typedef Documentation

typedef unspecified_type SortedMatrixSearchTraits::Compare_strictly

An adaptable binary function class: Value \( \times\) Value \( \rightarrow\) bool defining a non-reflexive total order on Value.

This determines the direction of the search.

typedef unspecified_type SortedMatrixSearchTraits::Matrix

The class used for representing matrices.

It has to be a model for BasicMatrix.

Member Function Documentation

bool SortedMatrixSearchTraits::is_feasible ( const Value &  a)

The predicate to determine whether an element a is feasible.

It has to be monotone in the sense that compare(a, b) and is_feasible(a) imply is_feasible(b).