1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra. Eigen itself is part of the KDE project.
3//
4// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
5// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
6//
7// This Source Code Form is subject to the terms of the Mozilla
8// Public License v. 2.0. If a copy of the MPL was not distributed
9// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10
11#include "main.h"
12#include <Eigen/Geometry>
13#include <Eigen/LU>
14#include <Eigen/QR>
15
16template<typename LineType> void parametrizedline(const LineType& _line)
17{
18  /* this test covers the following files:
19     ParametrizedLine.h
20  */
21
22  const int dim = _line.dim();
23  typedef typename LineType::Scalar Scalar;
24  typedef typename NumTraits<Scalar>::Real RealScalar;
25  typedef Matrix<Scalar, LineType::AmbientDimAtCompileTime, 1> VectorType;
26  typedef Matrix<Scalar, LineType::AmbientDimAtCompileTime,
27                         LineType::AmbientDimAtCompileTime> MatrixType;
28
29  VectorType p0 = VectorType::Random(dim);
30  VectorType p1 = VectorType::Random(dim);
31
32  VectorType d0 = VectorType::Random(dim).normalized();
33
34  LineType l0(p0, d0);
35
36  Scalar s0 = ei_random<Scalar>();
37  Scalar s1 = ei_abs(ei_random<Scalar>());
38
39  VERIFY_IS_MUCH_SMALLER_THAN( l0.distance(p0), RealScalar(1) );
40  VERIFY_IS_MUCH_SMALLER_THAN( l0.distance(p0+s0*d0), RealScalar(1) );
41  VERIFY_IS_APPROX( (l0.projection(p1)-p1).norm(), l0.distance(p1) );
42  VERIFY_IS_MUCH_SMALLER_THAN( l0.distance(l0.projection(p1)), RealScalar(1) );
43  VERIFY_IS_APPROX( Scalar(l0.distance((p0+s0*d0) + d0.unitOrthogonal() * s1)), s1 );
44
45  // casting
46  const int Dim = LineType::AmbientDimAtCompileTime;
47  typedef typename GetDifferentType<Scalar>::type OtherScalar;
48  ParametrizedLine<OtherScalar,Dim> hp1f = l0.template cast<OtherScalar>();
49  VERIFY_IS_APPROX(hp1f.template cast<Scalar>(),l0);
50  ParametrizedLine<Scalar,Dim> hp1d = l0.template cast<Scalar>();
51  VERIFY_IS_APPROX(hp1d.template cast<Scalar>(),l0);
52}
53
54void test_eigen2_parametrizedline()
55{
56  for(int i = 0; i < g_repeat; i++) {
57    CALL_SUBTEST_1( parametrizedline(ParametrizedLine<float,2>()) );
58    CALL_SUBTEST_2( parametrizedline(ParametrizedLine<float,3>()) );
59    CALL_SUBTEST_3( parametrizedline(ParametrizedLine<double,4>()) );
60    CALL_SUBTEST_4( parametrizedline(ParametrizedLine<std::complex<double>,5>()) );
61  }
62}
63