CGAL 6.1.1 - Linear and Quadratic Programming Solver

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QP_solver/convex_hull_containment_benchmarks.cpp
// Example: assess the solver performance under any of the available
// pricing strategies, in the convex-hull-containment problem
// NOTE: in order to see meaningful results, compile with -DNDEBUG
#include <vector>
#include <CGAL/Cartesian_d.h>
#include <CGAL/MP_Float.h>
#include <CGAL/Random.h>
#include <CGAL/Timer.h>
#include "solve_convex_hull_containment_lp3.h"
// choose exact floating-point type
#ifdef CGAL_USE_GMP
#include <CGAL/Gmpzf.h>
typedef CGAL::Gmpzf ET;
#else
#include <CGAL/MP_Float.h>
typedef CGAL::MP_Float ET;
#endif
typedef CGAL::Cartesian_d<double> Kernel_d;
typedef Kernel_d::Point_d Point_d;
int main()
{
const int d = 10; // change this in order to experiment
const int n = 100000; // change this in order to experiment
// generate n random d-dimensional points in [0,1]^d
CGAL::Random rd;
std::vector<Point_d> points;
for (int j =0; j<n; ++j) {
std::vector<double> coords;
for (int i=0; i<d; ++i)
coords.push_back(rd.get_double());
points.push_back (Point_d (d, coords.begin(), coords.end()));
}
// benchmark all pricing strategies in turn
CGAL::Quadratic_program_pricing_strategy strategy[] = {
CGAL::QP_CHOOSE_DEFAULT, // QP_PARTIAL_FILTERED_DANTZIG
CGAL::QP_DANTZIG, // Dantzig's pivot rule...
CGAL::QP_PARTIAL_DANTZIG, // ... with partial pricing
CGAL::QP_BLAND, // Bland's pivot rule
CGAL::QP_FILTERED_DANTZIG, // Dantzig's filtered pivot rule...
CGAL::QP_PARTIAL_FILTERED_DANTZIG // ... with partial pricing
};
CGAL::Timer t;
for (int i=0; i<6; ++i) {
// test strategy i
CGAL::Quadratic_program_options options;
options.set_pricing_strategy (strategy[i]);
t.reset(); t.start();
// is origin in convex hull of the points? (most likely, not)
solve_convex_hull_containment_lp
(Point_d (d, CGAL::ORIGIN), points.begin(), points.end(),
ET(0), options);
t.stop();
std::cout << "Time (s) = " << t.time() << std::endl;
}
return 0;
}
Gmpzf.h
MP_Float.h
CGAL::Gmpzf
CGAL::MP_Float
CGAL::Quadratic_program_options
This is a class used for passing options to the linear and quadratic programming solvers.
Definition: QP_options.h:30
CGAL::Quadratic_program_options::set_pricing_strategy
void set_pricing_strategy(Quadratic_program_pricing_strategy pricing_strategy)
sets the pricing strategy of the solver to the value pricing_strategy when options is passed to any o...
CGAL::Quadratic_program_pricing_strategy
Quadratic_program_pricing_strategy
This is an enumeration type containing the values QP_CHOOSE_DEFAULT, QP_DANTZIG, QP_PARTIAL_DANTZIG,...
Definition: QP_options.h:124
CGAL::QP_BLAND
@ QP_BLAND
This is hardly ever the most efficient choice, but it is guaranteed to avoid internal cycling of the ...
Definition: QP_options.h:180
CGAL::QP_PARTIAL_DANTZIG
@ QP_PARTIAL_DANTZIG
If the input type is not double, this is usually the best choice for linear and quadratic programs of...
Definition: QP_options.h:138
CGAL::QP_CHOOSE_DEFAULT
@ QP_CHOOSE_DEFAULT
This is the default value of the pricing strategy in Quadratic_program_options, and it lets the solve...
Definition: QP_options.h:132
CGAL::QP_FILTERED_DANTZIG
@ QP_FILTERED_DANTZIG
If the input type is double, this can sometimes make a difference (be faster or slowe) than QP_PARTIA...
Definition: QP_options.h:173
CGAL::QP_PARTIAL_FILTERED_DANTZIG
@ QP_PARTIAL_FILTERED_DANTZIG
If the input type is double, this is usually the best choice for linear and quadratic programs of med...
Definition: QP_options.h:159
CGAL::QP_DANTZIG
@ QP_DANTZIG
If the input type is not double, this can sometimes make a difference (be faster or slowe) than QP_PA...
Definition: QP_options.h:145
CGAL::ORIGIN
const CGAL::Origin ORIGIN