\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Monotone and Sorted Matrix Search

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Matrix_search/sorted_matrix_search.cpp
#include <CGAL/Random.h>
#include <CGAL/Cartesian_matrix.h>
#include <CGAL/sorted_matrix_search.h>
#include <vector>
#include <algorithm>
#include <iterator>
#include <functional>
typedef int Value;
typedef std::vector<Value> Vector;
typedef Vector::iterator Value_iterator;
typedef std::vector<Vector> Vector_cont;
typedef CGAL::Cartesian_matrix<std::plus<int>,
Value_iterator,
Value_iterator> Matrix;
int main()
{
// set of vectors the matrices are build from:
Vector_cont vectors;
// generate a random vector and sort it:
Vector a;
const int n = 5;
for (int i = 0; i < n; ++i)
a.push_back(CGAL::default_random(100));
std::sort(a.begin(), a.end());
std::cout << "a = ( ";
std::copy(a.begin(), a.end(), std::ostream_iterator<int>(std::cout," "));
std::cout << ")\n";
// build a Cartesian matrix from a:
Matrix M(a.begin(), a.end(), a.begin(), a.end());
// search for an upper bound for max(a):
Value bound = a[n-1];
Value upper_bound =
CGAL::sorted_matrix_search(
&M, &M + 1,
CGAL::sorted_matrix_search_traits_adaptor(
std::bind2nd(std::greater_equal<Value>(), bound), M));
std::cout << "Upper bound for " << bound << " is "
<< upper_bound << "." << std::endl;
return 0;
}