Function jacobi

test/jacobi.cpp:15–59

template<typename MatrixType, typename JacobiScalar>
void jacobi(const MatrixType& m = MatrixType())
{
  typedef typename MatrixType::Index Index;
  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));
  }
}

void test_jacobi()
{