eigen/unsupported/test/mpreal_support.cpp
2011-01-27 13:51:39 +01:00

45 lines
1.4 KiB
C++

#include "main.h"
#include <Eigen/MPRealSupport>
#include <Eigen/LU>
#include <Eigen/Eigenvalues>
using namespace mpfr;
using namespace std;
using namespace Eigen;
void test_mpreal_support()
{
// set precision to 256 bits (double has only 53 bits)
mpreal::set_default_prec(256);
typedef Matrix<mpreal,Eigen::Dynamic,Eigen::Dynamic> MatrixXmp;
std::cerr << "epsilon = " << NumTraits<mpreal>::epsilon() << "\n";
std::cerr << "dummy_precision = " << NumTraits<mpreal>::dummy_precision() << "\n";
std::cerr << "highest = " << NumTraits<mpreal>::highest() << "\n";
std::cerr << "lowest = " << NumTraits<mpreal>::lowest() << "\n";
for(int i = 0; i < g_repeat; i++) {
int s = Eigen::internal::random<int>(1,100);
MatrixXmp A = MatrixXmp::Random(s,s);
MatrixXmp B = MatrixXmp::Random(s,s);
MatrixXmp S = A.adjoint() * A;
MatrixXmp X;
// Cholesky
X = S.selfadjointView<Lower>().llt().solve(B);
VERIFY_IS_APPROX((S.selfadjointView<Lower>()*X).eval(),B);
// partial LU
X = A.lu().solve(B);
VERIFY_IS_APPROX((A*X).eval(),B);
// symmetric eigenvalues
SelfAdjointEigenSolver<MatrixXmp> eig(S);
VERIFY_IS_EQUAL(eig.info(), Success);
VERIFY_IS_APPROX((S.selfadjointView<Lower>() * eig.eigenvectors()),
eig.eigenvectors() * eig.eigenvalues().asDiagonal());
}
}
#include "mpreal.cpp"