Clang-format tests, examples, libraries, benchmarks, etc.

This commit is contained in:
Antonio Sánchez
2023-12-05 21:22:55 +00:00
committed by Rasmus Munk Larsen
parent 3252ecc7a4
commit 46e9cdb7fe
876 changed files with 33453 additions and 37795 deletions

View File

@@ -5,49 +5,48 @@
using namespace Eigen;
using namespace std;
int main()
{
typedef Matrix<double,5,1> Vector5d;
int main() {
typedef Matrix<double, 5, 1> Vector5d;
Vector5d roots = Vector5d::Random();
cout << "Roots: " << roots.transpose() << endl;
Eigen::Matrix<double,6,1> polynomial;
roots_to_monicPolynomial( roots, polynomial );
Eigen::Matrix<double, 6, 1> polynomial;
roots_to_monicPolynomial(roots, polynomial);
PolynomialSolver<double,5> psolve( polynomial );
PolynomialSolver<double, 5> psolve(polynomial);
cout << "Complex roots: " << psolve.roots().transpose() << endl;
std::vector<double> realRoots;
psolve.realRoots( realRoots );
Map<Vector5d> mapRR( &realRoots[0] );
psolve.realRoots(realRoots);
Map<Vector5d> mapRR(&realRoots[0]);
cout << "Real roots: " << mapRR.transpose() << endl;
cout << endl;
cout << "Illustration of the convergence problem with the QR algorithm: " << endl;
cout << "---------------------------------------------------------------" << endl;
Eigen::Matrix<float,7,1> hardCase_polynomial;
hardCase_polynomial <<
-0.957, 0.9219, 0.3516, 0.9453, -0.4023, -0.5508, -0.03125;
Eigen::Matrix<float, 7, 1> hardCase_polynomial;
hardCase_polynomial << -0.957, 0.9219, 0.3516, 0.9453, -0.4023, -0.5508, -0.03125;
cout << "Hard case polynomial defined by floats: " << hardCase_polynomial.transpose() << endl;
PolynomialSolver<float,6> psolvef( hardCase_polynomial );
PolynomialSolver<float, 6> psolvef(hardCase_polynomial);
cout << "Complex roots: " << psolvef.roots().transpose() << endl;
Eigen::Matrix<float,6,1> evals;
for( int i=0; i<6; ++i ){ evals[i] = std::abs( poly_eval( hardCase_polynomial, psolvef.roots()[i] ) ); }
Eigen::Matrix<float, 6, 1> evals;
for (int i = 0; i < 6; ++i) {
evals[i] = std::abs(poly_eval(hardCase_polynomial, psolvef.roots()[i]));
}
cout << "Norms of the evaluations of the polynomial at the roots: " << evals.transpose() << endl << endl;
cout << "Using double's almost always solves the problem for small degrees: " << endl;
cout << "-------------------------------------------------------------------" << endl;
PolynomialSolver<double,6> psolve6d( hardCase_polynomial.cast<double>() );
PolynomialSolver<double, 6> psolve6d(hardCase_polynomial.cast<double>());
cout << "Complex roots: " << psolve6d.roots().transpose() << endl;
for( int i=0; i<6; ++i )
{
std::complex<float> castedRoot( psolve6d.roots()[i].real(), psolve6d.roots()[i].imag() );
evals[i] = std::abs( poly_eval( hardCase_polynomial, castedRoot ) );
for (int i = 0; i < 6; ++i) {
std::complex<float> castedRoot(psolve6d.roots()[i].real(), psolve6d.roots()[i].imag());
evals[i] = std::abs(poly_eval(hardCase_polynomial, castedRoot));
}
cout << "Norms of the evaluations of the polynomial at the roots: " << evals.transpose() << endl << endl;
cout.precision(10);
cout << "The last root in float then in double: " << psolvef.roots()[5] << "\t" << psolve6d.roots()[5] << endl;
std::complex<float> castedRoot( psolve6d.roots()[5].real(), psolve6d.roots()[5].imag() );
cout << "Norm of the difference: " << std::abs( psolvef.roots()[5] - castedRoot ) << endl;
std::complex<float> castedRoot(psolve6d.roots()[5].real(), psolve6d.roots()[5].imag());
cout << "Norm of the difference: " << std::abs(psolvef.roots()[5] - castedRoot) << endl;
}