| 1 |  |  | '''
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                | 2 |  |  | 
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                | 3 |  |  | Unit-tests for KD-Tree.
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                | 4 |  |  | 
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                | 5 |  |  | Copyright (C) 2015    Andrei Novikov ([email protected])
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                | 6 |  |  | 
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                | 7 |  |  | pyclustering is free software: you can redistribute it and/or modify
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                | 8 |  |  | it under the terms of the GNU General Public License as published by
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                | 9 |  |  | the Free Software Foundation, either version 3 of the License, or
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                | 10 |  |  | (at your option) any later version.
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                | 11 |  |  | 
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                | 12 |  |  | pyclustering is distributed in the hope that it will be useful,
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                | 13 |  |  | but WITHOUT ANY WARRANTY; without even the implied warranty of
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                | 14 |  |  | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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                | 15 |  |  | GNU General Public License for more details.
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                | 16 |  |  | 
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                | 17 |  |  | You should have received a copy of the GNU General Public License
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                | 18 |  |  | along with this program.  If not, see <http://www.gnu.org/licenses/>.
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                | 19 |  |  | 
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                | 20 |  |  | '''
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                | 21 |  |  | 
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                | 22 |  |  | import unittest;
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                | 23 |  |  | import itertools;
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                | 24 |  |  | 
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                | 25 |  |  | from pyclustering.container.kdtree import kdtree;
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                | 26 |  |  | 
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                | 27 |  |  | class Test(unittest.TestCase):
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                | 28 |  |  |     def testKDTreeCreateWithoutPayload(self):
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                | 29 |  |  |         # Create k-d tree without any payload
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                | 30 |  |  |         array = [ [4, 3], [3, 4], [5, 8], [3, 3], [3, 9], [6, 4], [5, 9] ];
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                | 31 |  |  |         tree = kdtree(array);
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                | 32 |  |  |         
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                | 33 |  |  |         assert len(tree.traverse()) == len(array);
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                | 34 |  |  |         for item in array:
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                | 35 |  |  |             node = tree.find_node(item);
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                | 36 |  |  |             
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                | 37 |  |  |             assert node != None;            # node should exist in the tree.
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                | 38 |  |  |             assert node.payload == None;    # because we have created tree without any payloads.
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                | 39 |  |  |             assert node.data == item;       # check for valid data.
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                | 40 |  |  |     
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                | 41 |  |  |     
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                | 42 |  |  |     def testKDTreeCreateWithPayload(self):
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                | 43 |  |  |         # Create k-d tree with payload
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                | 44 |  |  |         array = [ [4, 3], [3, 4], [5, 8], [3, 3], [3, 9], [6, 4], [5, 9] ];
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                | 45 |  |  |         payload = ['q', 'w', 'e', 'r', 't', 'y', 'u'];
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                | 46 |  |  |         
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                | 47 |  |  |         tree = kdtree(array, payload);
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                | 48 |  |  |         assert len(tree.traverse()) == len(array);
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                | 49 |  |  |         for index in range(len(array)):
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                | 50 |  |  |             node = tree.find_node(array[index]);
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                | 51 |  |  |             
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                | 52 |  |  |             assert node != None;
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                | 53 |  |  |             assert node.payload == payload[index];
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                | 54 |  |  |             assert node.data == array[index];
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                | 55 |  |  | 
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                | 56 |  |  | 
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                | 57 |  |  |     def testKDTreeCreateTrivial(self):
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                | 58 |  |  |         "Create k-d tree"
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                | 59 |  |  |         array = [ [3, 4], [5, 6], [9, 8], [7, 3], [1, 2], [2, 4], [2, 5], [3, 2] ];
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                | 60 |  |  |         tree = kdtree(array);
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                | 61 |  |  |         
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                | 62 |  |  |         assert len(tree.traverse()) == len(array);
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                | 63 |  |  |         for item in array:
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                | 64 |  |  |             assert tree.find_node(item).data == item;
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                | 65 |  |  |     
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                | 66 |  |  |     
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                | 67 |  |  |     def testKDTreeInsertNodes(self):
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                | 68 |  |  |         "Create empty k-d tree and insert nodes"
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                | 69 |  |  |         array = [ [4, 3], [3, 4], [5, 8], [3, 3], [3, 9], [6, 4], [5, 9] ];
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                | 70 |  |  |         payload = ['q', 'w', 'e', 'r', 't', 'y', 'u'];
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                | 71 |  |  |         
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                | 72 |  |  |         tree = kdtree();
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                | 73 |  |  |         assert len(tree.traverse()) == 0;
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                | 74 |  |  |         for index in range(len(array)):
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                | 75 |  |  |             node = tree.insert(array[index], payload[index]);
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                | 76 |  |  |             
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                | 77 |  |  |             assert len(tree.traverse()) == index + 1;
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                | 78 |  |  |                         
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                | 79 |  |  |             assert node != None;
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                | 80 |  |  |             assert node.payload == payload[index];
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                | 81 |  |  |             assert node.data == array[index];
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                | 82 |  |  |             
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                | 83 |  |  |     
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                | 84 |  |  |     def testKDTreeParentSearch(self):
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                | 85 |  |  |         "Check for right parents"
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                | 86 |  |  |         array = [ [4, 3], [3, 4], [5, 8], [3, 3], [3, 9], [6, 4], [5, 9] ];
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                | 87 |  |  |         tree = kdtree(array);
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                | 88 |  |  |         
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                | 89 |  |  |         node = tree.find_node([4, 3]);
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                | 90 |  |  |         assert node.parent == None;
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                | 91 |  |  |         
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                | 92 |  |  |         node = tree.find_node([3, 4]);
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                | 93 |  |  |         assert node.parent.data == [4, 3];
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                | 94 |  |  |         
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                | 95 |  |  |         node = tree.find_node([5, 8]);
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                | 96 |  |  |         assert node.parent.data == [4, 3];
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                | 97 |  |  |     
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                | 98 |  |  |         node = tree.find_node([6, 4]);
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                | 99 |  |  |         assert node.parent.data == [5, 8];
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                | 100 |  |  |         
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                | 101 |  |  |         node = tree.find_node([3, 3]);
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                | 102 |  |  |         assert node.parent.data == [3, 4];
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                | 103 |  |  |         
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                | 104 |  |  |         node = tree.find_node([5, 9]);
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                | 105 |  |  |         assert node.parent.data == [5, 8];
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                | 106 |  |  |         
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                | 107 |  |  |         node = tree.find_node([3, 9]);
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                | 108 |  |  |         assert node.parent.data == [3, 4];
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                | 109 |  |  |     
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                | 110 |  |  |     
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                | 111 |  |  |     def testKDTreeInsertRemoveNode1(self):
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                | 112 |  |  |         "Create empty k-d tree and insert nodes and after that remove all nodes"
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                | 113 |  |  |         array = [ [4, 3], [3, 4], [5, 8], [3, 3], [3, 9], [6, 4], [5, 9] ];
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                | 114 |  |  |         payload = ['q', 'w', 'e', 'r', 't', 'y', 'u'];
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                | 115 |  |  |         
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                | 116 |  |  |         tree = kdtree();
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                | 117 |  |  |         for index in range(len(array)):
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                | 118 |  |  |             node = tree.insert(array[index], payload[index]);
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                | 119 |  |  |         
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                | 120 |  |  |         length = len(array);
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                | 121 |  |  |         for index in range(0, length):
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                | 122 |  |  |             node = tree.remove(array[index]);
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                | 123 |  |  |             assert len(tree.traverse()) == length - index - 1;
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                | 124 |  |  |             
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                | 125 |  |  |             if (index + 1 < length):    # When root is removed then None will be returned
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                | 126 |  |  |                 assert node != None;
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                | 127 |  |  |             else:
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                | 128 |  |  |                 assert node == None;
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                | 129 |  |  | 
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                | 130 |  |  |             # Check other nodes are located in the tree
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                | 131 |  |  |             for k in range(index + 1, length):
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                | 132 |  |  |                 node = tree.find_node(array[k]);
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                | 133 |  |  |                 
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                | 134 |  |  |                 assert node.data == array[k];
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                | 135 |  |  |                 assert node.payload == payload[k];
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                | 136 |  |  |                 
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                | 137 |  |  |     
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                | 138 |  |  |     def testKDTreeInsertRemoveNode2(self):
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                | 139 |  |  |         # This test simulates situation when a bug (16.01.2014) with removing was occuring
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                | 140 |  |  |         array = [ [9, 9], [3, 3], [4, 4] ];
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                | 141 |  |  |         tree = kdtree(array);
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                | 142 |  |  |         
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                | 143 |  |  |         assert None != tree.remove([9, 9]);
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                | 144 |  |  |         assert len(tree.traverse()) == 2;
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                | 145 |  |  |         
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                | 146 |  |  |         assert None != tree.remove([4, 4]);
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                | 147 |  |  |         assert len(tree.traverse()) == 1;
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                | 148 |  |  |         
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                | 149 |  |  |         assert None == tree.remove([3, 3]);
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                | 150 |  |  |         assert len(tree.traverse()) == 0;
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                | 151 |  |  |             
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                | 152 |  |  |     
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                | 153 |  |  |     def testKDTreeRemoveLongBranch(self):
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                | 154 |  |  |         # Create only one branch - worth case and remove it
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                | 155 |  |  |         array = [ [5, 5], [6, 5], [6, 6], [7, 6], [7, 7] ];
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                | 156 |  |  |         tree = kdtree(array);    
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                | 157 |  |  |         
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                | 158 |  |  |         assert len(tree.traverse()) == len(array);
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                | 159 |  |  |         #tree.show();
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                | 160 |  |  |         
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                | 161 |  |  |         for index in range(len(array)):
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                | 162 |  |  |             node = tree.remove(array[index]);
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                | 163 |  |  |             assert len(tree.traverse()) == len(array) - index - 1;
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                | 164 |  |  |         
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                | 165 |  |  |         # Remove from other end
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                | 166 |  |  |         tree = kdtree(array);
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                | 167 |  |  |         for index in range(len(array)):
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                | 168 |  |  |             node = tree.remove(array[len(array) - index - 1]);
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                | 169 |  |  |             assert len(tree.traverse()) == len(array) - index - 1;
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                | 170 |  |  |     
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                | 171 |  |  |     
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                | 172 |  |  |     def testKDTreeNearestNodeTrivial1(self):
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                | 173 |  |  |         array = [ [4, 3], [3, 4], [5, 8], [3, 3], [3, 9], [6, 4], [6, 9], [4, 9] ];
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                | 174 |  |  |         tree = kdtree(array);
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                | 175 |  |  |         
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                | 176 |  |  |         for item in array:
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                | 177 |  |  |             assert tree.find_nearest_dist_node(item, 0).data == item;
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                | 178 |  |  |             assert tree.find_nearest_dist_node(item, 0.5).data == item;
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                | 179 |  |  |             assert tree.find_nearest_dist_node(item, 1).data == item;
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                | 180 |  |  |             assert tree.find_nearest_dist_node(item, 3).data == item;
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                | 181 |  |  |             assert tree.find_nearest_dist_node(item, 10).data == item;
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                | 182 |  |  |         
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                | 183 |  |  |         assert tree.find_nearest_dist_node([6.1, 4.1], 0.5).data == [6, 4];
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                | 184 |  |  |         assert tree.find_nearest_dist_node([6, 12], 0) == None;
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                | 185 |  |  |         assert tree.find_nearest_dist_node([6, 12], 1) == None;
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                | 186 |  |  |         assert tree.find_nearest_dist_node([6, 12], 3).data == [6, 9];
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                | 187 |  |  |     
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                | 188 |  |  | 
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                | 189 |  |  |     def testKDTreeNearestNodeTrivial2(self):
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                | 190 |  |  |         arrays = [ 
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                | 191 |  |  |                     [ [3, 4], [5, 6], [9, 8], [7, 3], [1, 2], [2, 4], [2, 5], [3, 2], [3, 3] ],
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                | 192 |  |  |                     [ [5, 6], [1, 3], [7, 3], [1, 1], [9, 9], [4, 7], [0, 3], [3, 5], [1, 2], [9, 3], [9, 8], [5, 5], [6, 6], [0, 0], [-4, -5], [-1, 5], [-8, 3] ] 
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                | 193 |  |  |                  ];
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                | 194 |  |  |                  
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                | 195 |  |  |         distances = [0.0, 0.5, 1.0, 3.0, 10.0];
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                | 196 |  |  |         
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                | 197 |  |  |         for array in arrays:
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                | 198 |  |  |             tree = kdtree(array);
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                | 199 |  |  |             
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                | 200 |  |  |             for item in array:
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                | 201 |  |  |                 for distance in distances:
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                | 202 |  |  |                     assert tree.find_nearest_dist_node(item, distance).data == item;
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                | 203 |  |  |     
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                | 204 |  |  |     # Verification test, so it is required too much time for testing.
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                | 205 |  |  |     #def testVerificationKdTree1(self):
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                | 206 |  |  |     #    array = [ [5, 5], [4, 5], [4, 4], [3, 4], [3, 3], [6, 6], [8, 8], [7, 7], [9, 9]];
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                | 207 |  |  |     #    self.template_verification_insert_remove_kdtree_test(array);
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                | 208 |  |  |                     
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                | 209 |  |  |     def templateVerificationInsertRemoveKDTreeTest(self, array):
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                | 210 |  |  |         for perm_array in itertools.permutations(array):
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                | 211 |  |  |             tree = kdtree(array);
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                | 212 |  |  |             length = len(array);
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                | 213 |  |  |             
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                | 214 |  |  |             for index in range(len(perm_array)):
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                | 215 |  |  |                 #tree.show();
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                | 216 |  |  |                 
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                | 217 |  |  |                 node = tree.remove(perm_array[index]);
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                | 218 |  |  | 
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                | 219 |  |  |                 if ( index + 1 < length ):
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                | 220 |  |  |                     assert node is not None;
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                | 221 |  |  |                     
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                | 222 |  |  |                 assert len(tree.traverse()) == length - index - 1;
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                | 223 |  |  | 
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                | 224 |  |  | 
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                | 225 |  |  | if __name__ == "__main__":
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                | 226 |  |  |     unittest.main(); |