gtsam/cpp/ConstraintOptimizer.cpp

40 lines
972 B
C++

/**
* @file ConstraintOptimizer.cpp
* @author Alex Cunningham
*/
#include <ConstraintOptimizer.h>
using namespace std;
using namespace gtsam;
/* ************************************************************************* */
pair<Vector, Vector> gtsam::solveCQP(const Matrix& B, const Matrix& A,
const Vector& g, const Vector& h) {
// find the dimensions
size_t n = B.size1(), p = A.size2();
// verify matrices
if (n != B.size2())
throw invalid_argument("solveCQP: B matrix is not square!");
if (A.size1() != n)
throw invalid_argument("solveCQP: A matrix needs m = B.size1()");
// construct G matrix
Matrix G = zeros(n+p, n+p);
insertSub(G, B, 0, 0);
insertSub(G, A, 0, n);
insertSub(G, trans(A), n, 0);
Vector rhs = zero(n+p);
subInsert(rhs, -1.0*g, 0);
subInsert(rhs, -1.0*h, n);
// solve the system with the LDL solver
Vector fullResult = solve_ldl(G, rhs);
return make_pair(sub(fullResult, 0, n), sub(fullResult, n, n+p));
}