jacobi.cpp File Reference

#include "main.h"
#include <Eigen/SVD>

Functions
template<typename MatrixType , typename JacobiScalar >
void	jacobi (const MatrixType &m=MatrixType())
	EIGEN_DECLARE_TEST (jacobi)

Function Documentation

EIGEN_DECLARE_TEST()

EIGEN_DECLARE_TEST

(

jacobi

)

                           {
  for (int i = 0; i < g_repeat; i++) {
    CALL_SUBTEST_1((jacobi<Matrix3f, float>()));
    CALL_SUBTEST_2((jacobi<Matrix4d, double>()));
    CALL_SUBTEST_3((jacobi<Matrix4cf, float>()));
    CALL_SUBTEST_3((jacobi<Matrix4cf, std::complex<float> >()));
 
    CALL_SUBTEST_1((jacobi<Matrix<float, 3, 3, RowMajor>, float>()));
    CALL_SUBTEST_2((jacobi<Matrix<double, 4, 4, RowMajor>, double>()));
    CALL_SUBTEST_3((jacobi<Matrix<std::complex<float>, 4, 4, RowMajor>, float>()));
    CALL_SUBTEST_3((jacobi<Matrix<std::complex<float>, 4, 4, RowMajor>, std::complex<float> >()));
 
    int r = internal::random<int>(2, internal::random<int>(1, EIGEN_TEST_MAX_SIZE) / 2),
        c = internal::random<int>(2, internal::random<int>(1, EIGEN_TEST_MAX_SIZE) / 2);
    CALL_SUBTEST_4((jacobi<MatrixXf, float>(MatrixXf(r, c))));
    CALL_SUBTEST_5((jacobi<MatrixXcd, double>(MatrixXcd(r, c))));
    CALL_SUBTEST_5((jacobi<MatrixXcd, std::complex<double> >(MatrixXcd(r, c))));
    // complex<float> is really important to test as it is the only way to cover conjugation issues in certain unaligned
    // paths
    CALL_SUBTEST_6((jacobi<MatrixXcf, float>(MatrixXcf(r, c))));
    CALL_SUBTEST_6((jacobi<MatrixXcf, std::complex<float> >(MatrixXcf(r, c))));
 
    TEST_SET_BUT_UNUSED_VARIABLE(r);
    TEST_SET_BUT_UNUSED_VARIABLE(c);
  }
}

References calibrate::c, CALL_SUBTEST_1, CALL_SUBTEST_2, CALL_SUBTEST_3, CALL_SUBTEST_4, CALL_SUBTEST_5, CALL_SUBTEST_6, EIGEN_TEST_MAX_SIZE, Eigen::g_repeat, i, jacobi(), UniformPSDSelfTest::r, Eigen::RowMajor, and TEST_SET_BUT_UNUSED_VARIABLE.

jacobi()

template<typename MatrixType , typename JacobiScalar >

void jacobi

(

const MatrixType &

m = MatrixType()

)

                                                {
  Index rows = m.rows();
  Index cols = m.cols();
 
  enum { RowsAtCompileTime = MatrixType::RowsAtCompileTime, ColsAtCompileTime = MatrixType::ColsAtCompileTime };
 
  typedef Matrix<JacobiScalar, 2, 1> JacobiVector;
 
  const MatrixType a(MatrixType::Random(rows, cols));
 
  JacobiVector v = JacobiVector::Random().normalized();
  JacobiScalar c = v.x(), s = v.y();
  JacobiRotation<JacobiScalar> rot(c, s);
 
  {
    Index p = internal::random<Index>(0, rows - 1);
    Index q;
    do {
      q = internal::random<Index>(0, rows - 1);
    } while (q == p);
 
    MatrixType b = a;
    b.applyOnTheLeft(p, q, rot);
    VERIFY_IS_APPROX(b.row(p), c * a.row(p) + numext::conj(s) * a.row(q));
    VERIFY_IS_APPROX(b.row(q), -s * a.row(p) + numext::conj(c) * a.row(q));
  }
 
  {
    Index p = internal::random<Index>(0, cols - 1);
    Index q;
    do {
      q = internal::random<Index>(0, cols - 1);
    } while (q == p);
 
    MatrixType b = a;
    b.applyOnTheRight(p, q, rot);
    VERIFY_IS_APPROX(b.col(p), c * a.col(p) - s * a.col(q));
    VERIFY_IS_APPROX(b.col(q), numext::conj(s) * a.col(p) + numext::conj(c) * a.col(q));
  }
}

References a, b, calibrate::c, cols, conj(), m, p, Eigen::numext::q, rot(), rows, s, v, and VERIFY_IS_APPROX.

Referenced by EIGEN_DECLARE_TEST().