Function nomalloc

dependence/eigen-3.4.0/test/nomalloc.cpp:23–89

#include <Eigen/SVD>

template<typename MatrixType> void nomalloc(const MatrixType& m)
{
  /* this test check no dynamic memory allocation are issued with fixed-size matrices
  */
  typedef typename MatrixType::Scalar Scalar;

  Index rows = m.rows();
  Index cols = m.cols();

  MatrixType m1 = MatrixType::Random(rows, cols),
             m2 = MatrixType::Random(rows, cols),
             m3(rows, cols);

  Scalar s1 = internal::random<Scalar>();

  Index r = internal::random<Index>(0, rows-1),
        c = internal::random<Index>(0, cols-1);

  VERIFY_IS_APPROX((m1+m2)*s1,              s1*m1+s1*m2);
  VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
  VERIFY_IS_APPROX(m1.cwiseProduct(m1.block(0,0,rows,cols)), (m1.array()*m1.array()).matrix());
  VERIFY_IS_APPROX((m1*m1.transpose())*m2,  m1*(m1.transpose()*m2));
  
  m2.col(0).noalias() = m1 * m1.col(0);
  m2.col(0).noalias() -= m1.adjoint() * m1.col(0);
  m2.col(0).noalias() -= m1 * m1.row(0).adjoint();
  m2.col(0).noalias() -= m1.adjoint() * m1.row(0).adjoint();

  m2.row(0).noalias() = m1.row(0) * m1;
  m2.row(0).noalias() -= m1.row(0) * m1.adjoint();
  m2.row(0).noalias() -= m1.col(0).adjoint() * m1;
  m2.row(0).noalias() -= m1.col(0).adjoint() * m1.adjoint();
  VERIFY_IS_APPROX(m2,m2);
  
  m2.col(0).noalias() = m1.template triangularView<Upper>() * m1.col(0);
  m2.col(0).noalias() -= m1.adjoint().template triangularView<Upper>() * m1.col(0);
  m2.col(0).noalias() -= m1.template triangularView<Upper>() * m1.row(0).adjoint();
  m2.col(0).noalias() -= m1.adjoint().template triangularView<Upper>() * m1.row(0).adjoint();

  m2.row(0).noalias() = m1.row(0) * m1.template triangularView<Upper>();
  m2.row(0).noalias() -= m1.row(0) * m1.adjoint().template triangularView<Upper>();
  m2.row(0).noalias() -= m1.col(0).adjoint() * m1.template triangularView<Upper>();
  m2.row(0).noalias() -= m1.col(0).adjoint() * m1.adjoint().template triangularView<Upper>();
  VERIFY_IS_APPROX(m2,m2);
  
  m2.col(0).noalias() = m1.template selfadjointView<Upper>() * m1.col(0);
  m2.col(0).noalias() -= m1.adjoint().template selfadjointView<Upper>() * m1.col(0);
  m2.col(0).noalias() -= m1.template selfadjointView<Upper>() * m1.row(0).adjoint();
  m2.col(0).noalias() -= m1.adjoint().template selfadjointView<Upper>() * m1.row(0).adjoint();

  m2.row(0).noalias() = m1.row(0) * m1.template selfadjointView<Upper>();
  m2.row(0).noalias() -= m1.row(0) * m1.adjoint().template selfadjointView<Upper>();
  m2.row(0).noalias() -= m1.col(0).adjoint() * m1.template selfadjointView<Upper>();
  m2.row(0).noalias() -= m1.col(0).adjoint() * m1.adjoint().template selfadjointView<Upper>();
  VERIFY_IS_APPROX(m2,m2);
  
  m2.template selfadjointView<Lower>().rankUpdate(m1.col(0),-1);
  m2.template selfadjointView<Upper>().rankUpdate(m1.row(0),-1);