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

CGAL 4.8 - Linear and Quadratic Programming Solver

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QP_solver/print_first_nonnegative_qp.cpp
#include <iostream>
#include <CGAL/basic.h>
#include <CGAL/QP_models.h>
#include <CGAL/QP_functions.h>
// program type
typedef CGAL::Quadratic_program<int> Program;
int main() {
// by default, we have a nonnegative QP with Ax <= b
Program qp (CGAL::SMALLER, true, 0, false, 0);
// now set the non-default entries: 0 <-> x, 1 <-> y
qp.set_a(0, 0, 1); qp.set_a(1, 0, 1); qp.set_b(0, 7); // x + y <= 7
qp.set_a(0, 1, -1); qp.set_a(1, 1, 2); qp.set_b(1, 4); // -x + 2y <= 4
qp.set_d(0, 0, 2); qp.set_d (1, 1, 8); // x^2 + 4 y^2
qp.set_c(1, -32); // -32y
qp.set_c0(64); // +64
// print the program in MPS format
CGAL::print_nonnegative_quadratic_program
(std::cout, qp, "first_nonnegative_qp");
return 0;
}