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      1 // Ceres Solver - A fast non-linear least squares minimizer
      2 // Copyright 2013 Google Inc. All rights reserved.
      3 // http://code.google.com/p/ceres-solver/
      4 //
      5 // Redistribution and use in source and binary forms, with or without
      6 // modification, are permitted provided that the following conditions are met:
      7 //
      8 // * Redistributions of source code must retain the above copyright notice,
      9 //   this list of conditions and the following disclaimer.
     10 // * Redistributions in binary form must reproduce the above copyright notice,
     11 //   this list of conditions and the following disclaimer in the documentation
     12 //   and/or other materials provided with the distribution.
     13 // * Neither the name of Google Inc. nor the names of its contributors may be
     14 //   used to endorse or promote products derived from this software without
     15 //   specific prior written permission.
     16 //
     17 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
     18 // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     19 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     20 // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
     21 // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     22 // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     23 // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     24 // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     25 // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     26 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     27 // POSSIBILITY OF SUCH DAMAGE.
     28 //
     29 // Author: Sameer Agarwal (sameeragarwal (at) google.com)
     30 
     31 // This include must come before any #ifndef check on Ceres compile options.
     32 #include "ceres/internal/port.h"
     33 
     34 #ifndef CERES_NO_SUITESPARSE
     35 
     36 #include "ceres/single_linkage_clustering.h"
     37 
     38 #include "ceres/collections_port.h"
     39 #include "ceres/graph.h"
     40 #include "gtest/gtest.h"
     41 
     42 namespace ceres {
     43 namespace internal {
     44 
     45 TEST(SingleLinkageClustering, GraphHasTwoComponents) {
     46   Graph<int> graph;
     47   const int kNumVertices = 6;
     48   for (int i = 0; i < kNumVertices; ++i) {
     49     graph.AddVertex(i);
     50   }
     51   // Graph structure:
     52   //
     53   //  0-1-2-3 4-5
     54   graph.AddEdge(0, 1, 1.0);
     55   graph.AddEdge(1, 2, 1.0);
     56   graph.AddEdge(2, 3, 1.0);
     57   graph.AddEdge(4, 5, 1.0);
     58 
     59   SingleLinkageClusteringOptions options;
     60   HashMap<int, int> membership;
     61   ComputeSingleLinkageClustering(options, graph, &membership);
     62   EXPECT_EQ(membership.size(), kNumVertices);
     63 
     64   EXPECT_EQ(membership[1], membership[0]);
     65   EXPECT_EQ(membership[2], membership[0]);
     66   EXPECT_EQ(membership[3], membership[0]);
     67   EXPECT_NE(membership[4], membership[0]);
     68   EXPECT_NE(membership[5], membership[0]);
     69   EXPECT_EQ(membership[4], membership[5]);
     70 }
     71 
     72 TEST(SingleLinkageClustering, ComponentWithWeakLink) {
     73   Graph<int> graph;
     74   const int kNumVertices = 6;
     75   for (int i = 0; i < kNumVertices; ++i) {
     76     graph.AddVertex(i);
     77   }
     78   // Graph structure:
     79   //
     80   //  0-1-2-3 4-5
     81   graph.AddEdge(0, 1, 1.0);
     82   graph.AddEdge(1, 2, 1.0);
     83   graph.AddEdge(2, 3, 1.0);
     84 
     85   // This component should break up into two.
     86   graph.AddEdge(4, 5, 0.5);
     87 
     88   SingleLinkageClusteringOptions options;
     89   HashMap<int, int> membership;
     90   ComputeSingleLinkageClustering(options, graph, &membership);
     91   EXPECT_EQ(membership.size(), kNumVertices);
     92 
     93   EXPECT_EQ(membership[1], membership[0]);
     94   EXPECT_EQ(membership[2], membership[0]);
     95   EXPECT_EQ(membership[3], membership[0]);
     96   EXPECT_NE(membership[4], membership[0]);
     97   EXPECT_NE(membership[5], membership[0]);
     98   EXPECT_NE(membership[4], membership[5]);
     99 }
    100 
    101 TEST(SingleLinkageClustering, ComponentWithWeakLinkAndStrongLink) {
    102   Graph<int> graph;
    103   const int kNumVertices = 6;
    104   for (int i = 0; i < kNumVertices; ++i) {
    105     graph.AddVertex(i);
    106   }
    107   // Graph structure:
    108   //
    109   //  0-1-2-3 4-5
    110   graph.AddEdge(0, 1, 1.0);
    111   graph.AddEdge(1, 2, 1.0);
    112   graph.AddEdge(2, 3, 0.5); // Weak link
    113   graph.AddEdge(0, 3, 1.0);
    114 
    115   // This component should break up into two.
    116   graph.AddEdge(4, 5, 1.0);
    117 
    118   SingleLinkageClusteringOptions options;
    119   HashMap<int, int> membership;
    120   ComputeSingleLinkageClustering(options, graph, &membership);
    121   EXPECT_EQ(membership.size(), kNumVertices);
    122 
    123   EXPECT_EQ(membership[1], membership[0]);
    124   EXPECT_EQ(membership[2], membership[0]);
    125   EXPECT_EQ(membership[3], membership[0]);
    126   EXPECT_EQ(membership[4], membership[5]);
    127 }
    128 
    129 }  // namespace internal
    130 }  // namespace ceres
    131 
    132 #endif  // CERES_NO_SUITESPARSE
    133