\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.2 - Monotone and Sorted Matrix Search
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
SortedMatrixSearchTraits Concept Reference

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

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.

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).