diagonal.cpp File Reference

#include "main.h"

Functions
template<typename MatrixType >
void	diagonal (const MatrixType &m)
template<typename MatrixType >
void	diagonal_assert (const MatrixType &m)
	EIGEN_DECLARE_TEST (diagonal)

Function Documentation

diagonal()

template<typename MatrixType >

void diagonal

(

const MatrixType &

m

)

                                   {
  typedef typename MatrixType::Scalar Scalar;
 
  Index rows = m.rows();
  Index cols = m.cols();
 
  MatrixType m1 = MatrixType::Random(rows, cols), m2 = MatrixType::Random(rows, cols);
 
  Scalar s1 = internal::random<Scalar>();
 
  // check diagonal()
  VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
  m2.diagonal() = 2 * m1.diagonal();
  m2.diagonal()[0] *= 3;
 
  if (rows > 2) {
    enum { N1 = MatrixType::RowsAtCompileTime > 2 ? 2 : 0, N2 = MatrixType::RowsAtCompileTime > 1 ? -1 : 0 };
 
    // check sub/super diagonal
    if (MatrixType::SizeAtCompileTime != Dynamic) {
      VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
      VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
    }
 
    m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
    VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
    m2.template diagonal<N1>()[0] *= 3;
    VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
 
    m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
    m2.template diagonal<N2>()[0] *= 3;
    VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
 
    m2.diagonal(N1) = 2 * m1.diagonal(N1);
    VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
    m2.diagonal(N1)[0] *= 3;
    VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
 
    m2.diagonal(N2) = 2 * m1.diagonal(N2);
    VERIFY_IS_APPROX(m2.template diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
    m2.diagonal(N2)[0] *= 3;
    VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
 
    m2.diagonal(N2).x() = s1;
    VERIFY_IS_APPROX(m2.diagonal(N2).x(), s1);
    m2.diagonal(N2).coeffRef(0) = Scalar(2) * s1;
    VERIFY_IS_APPROX(m2.diagonal(N2).coeff(0), Scalar(2) * s1);
  }
 
  VERIFY(m1.diagonal(cols).size() == 0);
  VERIFY(m1.diagonal(-rows).size() == 0);
}

References cols, Eigen::Dynamic, m, m1, m2(), rows, VERIFY, and VERIFY_IS_APPROX.

Referenced by diagonalmatrices(), ThreeDimBethertonProblem< ELEMENT >::doc_solution(), EIGEN_DECLARE_TEST(), Eigen::internal::TridiagonalizationMatrixTReturnType< MatrixType >::evalTo(), product_notemporary(), Eigen::internal::tridiagonalization_inplace_selector< MatrixType, Size, IsComplex >::run(), sparse_basic(), Eigen::Tridiagonalization< MatrixType_ >::subDiagonal(), Eigen::internal::upperbidiagonalization_blocked_helper(), and Eigen::internal::upperbidiagonalization_inplace_unblocked().

diagonal_assert()

template<typename MatrixType >

void diagonal_assert

(

const MatrixType &

m

)

                                          {
  Index rows = m.rows();
  Index cols = m.cols();
 
  MatrixType m1 = MatrixType::Random(rows, cols);
 
  if (rows >= 2 && cols >= 2) {
    VERIFY_RAISES_ASSERT(m1 += m1.diagonal());
    VERIFY_RAISES_ASSERT(m1 -= m1.diagonal());
    VERIFY_RAISES_ASSERT(m1.array() *= m1.diagonal().array());
    VERIFY_RAISES_ASSERT(m1.array() /= m1.diagonal().array());
  }
 
  VERIFY_RAISES_ASSERT(m1.diagonal(cols + 1));
  VERIFY_RAISES_ASSERT(m1.diagonal(-(rows + 1)));
}

References cols, m, m1, rows, and VERIFY_RAISES_ASSERT.

Referenced by EIGEN_DECLARE_TEST().

EIGEN_DECLARE_TEST()

EIGEN_DECLARE_TEST

(

diagonal

)

                             {
  for (int i = 0; i < g_repeat; i++) {
    CALL_SUBTEST_1(diagonal(Matrix<float, 1, 1>()));
    CALL_SUBTEST_1(diagonal(Matrix<float, 4, 9>()));
    CALL_SUBTEST_1(diagonal(Matrix<float, 7, 3>()));
    CALL_SUBTEST_2(diagonal(Matrix4d()));
    CALL_SUBTEST_2(diagonal(
        MatrixXcf(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_2(diagonal(
        MatrixXi(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_2(diagonal(
        MatrixXcd(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_1(diagonal(
        MatrixXf(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_1(diagonal(Matrix<float, Dynamic, 4>(3, 4)));
    CALL_SUBTEST_1(diagonal_assert(
        MatrixXf(internal::random<int>(1, EIGEN_TEST_MAX_SIZE), internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
  }
}

References CALL_SUBTEST_1, CALL_SUBTEST_2, diagonal(), diagonal_assert(), EIGEN_TEST_MAX_SIZE, Eigen::g_repeat, and i.