diff --git a/test/eigen2/eigen2_parametrizedline.cpp b/test/eigen2/eigen2_parametrizedline.cpp
new file mode 100644
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+++ b/test/eigen2/eigen2_parametrizedline.cpp
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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
+// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+#include <Eigen/Geometry>
+#include <Eigen/LU>
+#include <Eigen/QR>
+
+template<typename LineType> void parametrizedline(const LineType& _line)
+{
+  /* this test covers the following files:
+     ParametrizedLine.h
+  */
+
+  const int dim = _line.dim();
+  typedef typename LineType::Scalar Scalar;
+  typedef typename NumTraits<Scalar>::Real RealScalar;
+  typedef Matrix<Scalar, LineType::AmbientDimAtCompileTime, 1> VectorType;
+  typedef Matrix<Scalar, LineType::AmbientDimAtCompileTime,
+                         LineType::AmbientDimAtCompileTime> MatrixType;
+
+  VectorType p0 = VectorType::Random(dim);
+  VectorType p1 = VectorType::Random(dim);
+
+  VectorType d0 = VectorType::Random(dim).normalized();
+
+  LineType l0(p0, d0);
+
+  Scalar s0 = ei_random<Scalar>();
+  Scalar s1 = ei_abs(ei_random<Scalar>());
+
+  VERIFY_IS_MUCH_SMALLER_THAN( l0.distance(p0), RealScalar(1) );
+  VERIFY_IS_MUCH_SMALLER_THAN( l0.distance(p0+s0*d0), RealScalar(1) );
+  VERIFY_IS_APPROX( (l0.projection(p1)-p1).norm(), l0.distance(p1) );
+  VERIFY_IS_MUCH_SMALLER_THAN( l0.distance(l0.projection(p1)), RealScalar(1) );
+  VERIFY_IS_APPROX( Scalar(l0.distance((p0+s0*d0) + d0.unitOrthogonal() * s1)), s1 );
+
+  // casting
+  const int Dim = LineType::AmbientDimAtCompileTime;
+  typedef typename GetDifferentType<Scalar>::type OtherScalar;
+  ParametrizedLine<OtherScalar,Dim> hp1f = l0.template cast<OtherScalar>();
+  VERIFY_IS_APPROX(hp1f.template cast<Scalar>(),l0);
+  ParametrizedLine<Scalar,Dim> hp1d = l0.template cast<Scalar>();
+  VERIFY_IS_APPROX(hp1d.template cast<Scalar>(),l0);
+}
+
+void test_eigen2_parametrizedline()
+{
+  for(int i = 0; i < g_repeat; i++) {
+    CALL_SUBTEST_1( parametrizedline(ParametrizedLine<float,2>()) );
+    CALL_SUBTEST_2( parametrizedline(ParametrizedLine<float,3>()) );
+    CALL_SUBTEST_3( parametrizedline(ParametrizedLine<double,4>()) );
+    CALL_SUBTEST_4( parametrizedline(ParametrizedLine<std::complex<double>,5>()) );
+  }
+}