prec_inverse_4x4.cpp File Reference

#include "main.h"
#include <Eigen/LU>
#include <algorithm>

Functions
template<typename MatrixType >
void	inverse_permutation_4x4 ()
template<typename MatrixType >
void	inverse_general_4x4 (int repeat)
	EIGEN_DECLARE_TEST (prec_inverse_4x4)

Function Documentation

EIGEN_DECLARE_TEST()

EIGEN_DECLARE_TEST

(

prec_inverse_4x4

)

                                     {
  CALL_SUBTEST_1((inverse_permutation_4x4<Matrix4f>()));
  CALL_SUBTEST_1((inverse_general_4x4<Matrix4f>(200000 * g_repeat)));
  CALL_SUBTEST_1((inverse_general_4x4<Matrix<float, 4, 4, RowMajor> >(200000 * g_repeat)));
 
  CALL_SUBTEST_2((inverse_permutation_4x4<Matrix<double, 4, 4, RowMajor> >()));
  CALL_SUBTEST_2((inverse_general_4x4<Matrix<double, 4, 4, ColMajor> >(200000 * g_repeat)));
  CALL_SUBTEST_2((inverse_general_4x4<Matrix<double, 4, 4, RowMajor> >(200000 * g_repeat)));
 
  CALL_SUBTEST_3((inverse_permutation_4x4<Matrix4cf>()));
  CALL_SUBTEST_3((inverse_general_4x4<Matrix4cf>(50000 * g_repeat)));
}

References CALL_SUBTEST_1, CALL_SUBTEST_2, CALL_SUBTEST_3, Eigen::g_repeat, inverse_general_4x4(), and inverse_permutation_4x4().

inverse_general_4x4()

template<typename MatrixType >

void inverse_general_4x4

(

int

repeat

)

                                     {
  using std::abs;
  typedef typename MatrixType::Scalar Scalar;
  double error_sum = 0., error_max = 0.;
  for (int i = 0; i < repeat; ++i) {
    MatrixType m;
    bool is_invertible;
    do {
      m = MatrixType::Random();
      is_invertible = Eigen::FullPivLU<MatrixType>(m).isInvertible();
    } while (!is_invertible);
    MatrixType inv = m.inverse();
    double error = double((m * inv - MatrixType::Identity()).norm());
    error_sum += error;
    error_max = (std::max)(error_max, error);
  }
  std::cerr << "inverse_general_4x4, Scalar = " << type_name<Scalar>() << std::endl;
  double error_avg = error_sum / repeat;
  EIGEN_DEBUG_VAR(error_avg);
  EIGEN_DEBUG_VAR(error_max);
  // FIXME that 1.25 used to be a 1.0 until the NumTraits changes on 28 April 2010, what's going wrong??
  // FIXME that 1.25 used to be 1.2 until we tested gcc 4.1 on 30 June 2010 and got 1.21.
  VERIFY(error_avg < (NumTraits<Scalar>::IsComplex ? 8.0 : 1.25));
  VERIFY(error_max < (NumTraits<Scalar>::IsComplex ? 64.0 : 20.0));
 
  {
    int s = 5;  // internal::random<int>(4,10);
    int i = 0;  // internal::random<int>(0,s-4);
    int j = 0;  // internal::random<int>(0,s-4);
    Matrix<Scalar, 5, 5> mat(s, s);
    mat.setRandom();
    MatrixType submat = mat.template block<4, 4>(i, j);
    MatrixType mat_inv = mat.template block<4, 4>(i, j).inverse();
    VERIFY_IS_APPROX(mat_inv, submat.inverse());
    mat.template block<4, 4>(i, j) = submat.inverse();
    VERIFY_IS_APPROX(mat_inv, (mat.template block<4, 4>(i, j)));
  }
}

References abs(), EIGEN_DEBUG_VAR, calibrate::error, i, Eigen::FullPivLU< MatrixType_, PermutationIndex_ >::isInvertible(), j, m, max, Eigen::internal::repeat(), s, VERIFY, and VERIFY_IS_APPROX.

Referenced by EIGEN_DECLARE_TEST().

inverse_permutation_4x4()

template<typename MatrixType >

void inverse_permutation_4x4

(

)

                               {
  Vector4i indices(0, 1, 2, 3);
  for (int i = 0; i < 24; ++i) {
    MatrixType m = PermutationMatrix<4>(indices);
    MatrixType inv = m.inverse();
    VERIFY_IS_APPROX(m * inv, MatrixType::Identity());
    std::next_permutation(indices.data(), indices.data() + 4);
  }
}

References i, m, and VERIFY_IS_APPROX.

Referenced by EIGEN_DECLARE_TEST().