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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 
10 #include "main.h"
11 #include <Eigen/Geometry>
12 #include <Eigen/LU>
13 #include <Eigen/QR>
14 
15 #include<iostream>
16 using namespace std;
17 
alignedbox(const BoxType & _box)18 template<typename BoxType> void alignedbox(const BoxType& _box)
19 {
20   /* this test covers the following files:
21      AlignedBox.h
22   */
23   typedef typename BoxType::Index Index;
24   typedef typename BoxType::Scalar Scalar;
25   typedef typename NumTraits<Scalar>::Real RealScalar;
26   typedef Matrix<Scalar, BoxType::AmbientDimAtCompileTime, 1> VectorType;
27 
28   const Index dim = _box.dim();
29 
30   VectorType p0 = VectorType::Random(dim);
31   VectorType p1 = VectorType::Random(dim);
32   while( p1 == p0 ){
33       p1 =  VectorType::Random(dim); }
34   RealScalar s1 = internal::random<RealScalar>(0,1);
35 
36   BoxType b0(dim);
37   BoxType b1(VectorType::Random(dim),VectorType::Random(dim));
38   BoxType b2;
39 
40   b0.extend(p0);
41   b0.extend(p1);
42   VERIFY(b0.contains(p0*s1+(Scalar(1)-s1)*p1));
43 
44   (b2 = b0).extend(b1);
45   VERIFY(b2.contains(b0));
46   VERIFY(b2.contains(b1));
47   VERIFY_IS_APPROX(b2.clamp(b0), b0);
48 
49 
50   // alignment -- make sure there is no memory alignment assertion
51   BoxType *bp0 = new BoxType(dim);
52   BoxType *bp1 = new BoxType(dim);
53   bp0->extend(*bp1);
54   delete bp0;
55   delete bp1;
56 
57   // sampling
58   for( int i=0; i<10; ++i )
59   {
60       VectorType r = b0.sample();
61       VERIFY(b0.contains(r));
62   }
63 
64 }
65 
66 
67 
68 template<typename BoxType>
alignedboxCastTests(const BoxType & _box)69 void alignedboxCastTests(const BoxType& _box)
70 {
71   // casting
72   typedef typename BoxType::Index Index;
73   typedef typename BoxType::Scalar Scalar;
74   typedef typename NumTraits<Scalar>::Real RealScalar;
75   typedef Matrix<Scalar, BoxType::AmbientDimAtCompileTime, 1> VectorType;
76 
77   const Index dim = _box.dim();
78 
79   VectorType p0 = VectorType::Random(dim);
80   VectorType p1 = VectorType::Random(dim);
81 
82   BoxType b0(dim);
83 
84   b0.extend(p0);
85   b0.extend(p1);
86 
87   const int Dim = BoxType::AmbientDimAtCompileTime;
88   typedef typename GetDifferentType<Scalar>::type OtherScalar;
89   AlignedBox<OtherScalar,Dim> hp1f = b0.template cast<OtherScalar>();
90   VERIFY_IS_APPROX(hp1f.template cast<Scalar>(),b0);
91   AlignedBox<Scalar,Dim> hp1d = b0.template cast<Scalar>();
92   VERIFY_IS_APPROX(hp1d.template cast<Scalar>(),b0);
93 }
94 
95 
specificTest1()96 void specificTest1()
97 {
98     Vector2f m; m << -1.0f, -2.0f;
99     Vector2f M; M <<  1.0f,  5.0f;
100 
101     typedef AlignedBox2f  BoxType;
102     BoxType box( m, M );
103 
104     Vector2f sides = M-m;
105     VERIFY_IS_APPROX(sides, box.sizes() );
106     VERIFY_IS_APPROX(sides[1], box.sizes()[1] );
107     VERIFY_IS_APPROX(sides[1], box.sizes().maxCoeff() );
108     VERIFY_IS_APPROX(sides[0], box.sizes().minCoeff() );
109 
110     VERIFY_IS_APPROX( 14.0f, box.volume() );
111     VERIFY_IS_APPROX( 53.0f, box.diagonal().squaredNorm() );
112     VERIFY_IS_APPROX( internal::sqrt( 53.0f ), box.diagonal().norm() );
113 
114     VERIFY_IS_APPROX( m, box.corner( BoxType::BottomLeft ) );
115     VERIFY_IS_APPROX( M, box.corner( BoxType::TopRight ) );
116     Vector2f bottomRight; bottomRight << M[0], m[1];
117     Vector2f topLeft; topLeft << m[0], M[1];
118     VERIFY_IS_APPROX( bottomRight, box.corner( BoxType::BottomRight ) );
119     VERIFY_IS_APPROX( topLeft, box.corner( BoxType::TopLeft ) );
120 }
121 
122 
specificTest2()123 void specificTest2()
124 {
125     Vector3i m; m << -1, -2, 0;
126     Vector3i M; M <<  1,  5, 3;
127 
128     typedef AlignedBox3i  BoxType;
129     BoxType box( m, M );
130 
131     Vector3i sides = M-m;
132     VERIFY_IS_APPROX(sides, box.sizes() );
133     VERIFY_IS_APPROX(sides[1], box.sizes()[1] );
134     VERIFY_IS_APPROX(sides[1], box.sizes().maxCoeff() );
135     VERIFY_IS_APPROX(sides[0], box.sizes().minCoeff() );
136 
137     VERIFY_IS_APPROX( 42, box.volume() );
138     VERIFY_IS_APPROX( 62, box.diagonal().squaredNorm() );
139 
140     VERIFY_IS_APPROX( m, box.corner( BoxType::BottomLeftFloor ) );
141     VERIFY_IS_APPROX( M, box.corner( BoxType::TopRightCeil ) );
142     Vector3i bottomRightFloor; bottomRightFloor << M[0], m[1], m[2];
143     Vector3i topLeftFloor; topLeftFloor << m[0], M[1], m[2];
144     VERIFY_IS_APPROX( bottomRightFloor, box.corner( BoxType::BottomRightFloor ) );
145     VERIFY_IS_APPROX( topLeftFloor, box.corner( BoxType::TopLeftFloor ) );
146 }
147 
148 
test_geo_alignedbox()149 void test_geo_alignedbox()
150 {
151   for(int i = 0; i < g_repeat; i++)
152   {
153     CALL_SUBTEST_1( alignedbox(AlignedBox2f()) );
154     CALL_SUBTEST_2( alignedboxCastTests(AlignedBox2f()) );
155 
156     CALL_SUBTEST_3( alignedbox(AlignedBox3f()) );
157     CALL_SUBTEST_4( alignedboxCastTests(AlignedBox3f()) );
158 
159     CALL_SUBTEST_5( alignedbox(AlignedBox4d()) );
160     CALL_SUBTEST_6( alignedboxCastTests(AlignedBox4d()) );
161 
162     CALL_SUBTEST_7( alignedbox(AlignedBox1d()) );
163     CALL_SUBTEST_8( alignedboxCastTests(AlignedBox1d()) );
164 
165     CALL_SUBTEST_9( alignedbox(AlignedBox1i()) );
166     CALL_SUBTEST_10( alignedbox(AlignedBox2i()) );
167     CALL_SUBTEST_11( alignedbox(AlignedBox3i()) );
168   }
169   CALL_SUBTEST_12( specificTest1() );
170   CALL_SUBTEST_13( specificTest2() );
171 }
172