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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 (at) 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 
     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>
     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 
     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 
    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 
    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