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1088 lines
33 KiB
Go
1088 lines
33 KiB
Go
// Copyright (c) 2015, Emir Pasic. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package btree
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import (
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"fmt"
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"testing"
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)
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func TestBTreeGet1(t *testing.T) {
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tree := NewWithIntComparator(3)
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tree.Put(1, "a")
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tree.Put(2, "b")
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tree.Put(3, "c")
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tree.Put(4, "d")
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tree.Put(5, "e")
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tree.Put(6, "f")
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tree.Put(7, "g")
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tests := [][]interface{}{
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{0, nil, false},
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{1, "a", true},
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{2, "b", true},
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{3, "c", true},
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{4, "d", true},
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{5, "e", true},
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{6, "f", true},
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{7, "g", true},
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{8, nil, false},
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}
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for _, test := range tests {
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if value, found := tree.Get(test[0]); value != test[1] || found != test[2] {
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t.Errorf("Got %v,%v expected %v,%v", value, found, test[1], test[2])
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}
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}
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}
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func TestBTreeGet2(t *testing.T) {
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tree := NewWithIntComparator(3)
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tree.Put(7, "g")
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tree.Put(9, "i")
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tree.Put(10, "j")
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tree.Put(6, "f")
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tree.Put(3, "c")
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tree.Put(4, "d")
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tree.Put(5, "e")
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tree.Put(8, "h")
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tree.Put(2, "b")
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tree.Put(1, "a")
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tests := [][]interface{}{
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{0, nil, false},
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{1, "a", true},
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{2, "b", true},
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{3, "c", true},
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{4, "d", true},
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{5, "e", true},
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{6, "f", true},
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{7, "g", true},
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{8, "h", true},
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{9, "i", true},
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{10, "j", true},
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{11, nil, false},
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}
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for _, test := range tests {
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if value, found := tree.Get(test[0]); value != test[1] || found != test[2] {
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t.Errorf("Got %v,%v expected %v,%v", value, found, test[1], test[2])
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}
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}
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}
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func TestBTreePut1(t *testing.T) {
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// https://upload.wikimedia.org/wikipedia/commons/3/33/B_tree_insertion_example.png
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tree := NewWithIntComparator(3)
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assertValidTree(t, tree, 0)
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tree.Put(1, 0)
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assertValidTree(t, tree, 1)
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assertValidTreeNode(t, tree.Root, 1, 0, []int{1}, false)
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tree.Put(2, 1)
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assertValidTree(t, tree, 2)
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assertValidTreeNode(t, tree.Root, 2, 0, []int{1, 2}, false)
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tree.Put(3, 2)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{2}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{3}, true)
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tree.Put(4, 2)
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assertValidTree(t, tree, 4)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{2}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 2, 0, []int{3, 4}, true)
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tree.Put(5, 2)
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assertValidTree(t, tree, 5)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{2, 4}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{3}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 1, 0, []int{5}, true)
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tree.Put(6, 2)
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assertValidTree(t, tree, 6)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{2, 4}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{3}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 2, 0, []int{5, 6}, true)
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tree.Put(7, 2)
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assertValidTree(t, tree, 7)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{4}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{6}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{3}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{5}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{7}, true)
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}
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func TestBTreePut2(t *testing.T) {
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tree := NewWithIntComparator(4)
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assertValidTree(t, tree, 0)
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tree.Put(0, 0)
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assertValidTree(t, tree, 1)
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assertValidTreeNode(t, tree.Root, 1, 0, []int{0}, false)
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tree.Put(2, 2)
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assertValidTree(t, tree, 2)
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assertValidTreeNode(t, tree.Root, 2, 0, []int{0, 2}, false)
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tree.Put(1, 1)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 3, 0, []int{0, 1, 2}, false)
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tree.Put(1, 1)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 3, 0, []int{0, 1, 2}, false)
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tree.Put(3, 3)
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assertValidTree(t, tree, 4)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{1}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 2, 0, []int{2, 3}, true)
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tree.Put(4, 4)
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assertValidTree(t, tree, 5)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{1}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 3, 0, []int{2, 3, 4}, true)
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tree.Put(5, 5)
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assertValidTree(t, tree, 6)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{1, 3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 2, 0, []int{4, 5}, true)
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}
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func TestBTreePut3(t *testing.T) {
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// http://www.geeksforgeeks.org/b-tree-set-1-insert-2/
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tree := NewWithIntComparator(6)
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assertValidTree(t, tree, 0)
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tree.Put(10, 0)
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assertValidTree(t, tree, 1)
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assertValidTreeNode(t, tree.Root, 1, 0, []int{10}, false)
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tree.Put(20, 1)
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assertValidTree(t, tree, 2)
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assertValidTreeNode(t, tree.Root, 2, 0, []int{10, 20}, false)
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tree.Put(30, 2)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 3, 0, []int{10, 20, 30}, false)
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tree.Put(40, 3)
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assertValidTree(t, tree, 4)
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assertValidTreeNode(t, tree.Root, 4, 0, []int{10, 20, 30, 40}, false)
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tree.Put(50, 4)
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assertValidTree(t, tree, 5)
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assertValidTreeNode(t, tree.Root, 5, 0, []int{10, 20, 30, 40, 50}, false)
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tree.Put(60, 5)
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assertValidTree(t, tree, 6)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{30}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{10, 20}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 3, 0, []int{40, 50, 60}, true)
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tree.Put(70, 6)
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assertValidTree(t, tree, 7)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{30}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{10, 20}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 4, 0, []int{40, 50, 60, 70}, true)
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tree.Put(80, 7)
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assertValidTree(t, tree, 8)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{30}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{10, 20}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 5, 0, []int{40, 50, 60, 70, 80}, true)
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tree.Put(90, 8)
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assertValidTree(t, tree, 9)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{30, 60}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{10, 20}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 2, 0, []int{40, 50}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 3, 0, []int{70, 80, 90}, true)
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}
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func TestBTreePut4(t *testing.T) {
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tree := NewWithIntComparator(3)
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assertValidTree(t, tree, 0)
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tree.Put(6, nil)
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assertValidTree(t, tree, 1)
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assertValidTreeNode(t, tree.Root, 1, 0, []int{6}, false)
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tree.Put(5, nil)
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assertValidTree(t, tree, 2)
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assertValidTreeNode(t, tree.Root, 2, 0, []int{5, 6}, false)
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tree.Put(4, nil)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{5}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{6}, true)
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tree.Put(3, nil)
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assertValidTree(t, tree, 4)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{5}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{3, 4}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{6}, true)
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tree.Put(2, nil)
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assertValidTree(t, tree, 5)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{3, 5}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 1, 0, []int{6}, true)
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tree.Put(1, nil)
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assertValidTree(t, tree, 6)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{3, 5}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{1, 2}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 1, 0, []int{6}, true)
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tree.Put(0, nil)
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assertValidTree(t, tree, 7)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{5}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{6}, true)
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tree.Put(-1, nil)
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assertValidTree(t, tree, 8)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{5}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[0], 2, 0, []int{-1, 0}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{6}, true)
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tree.Put(-2, nil)
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assertValidTree(t, tree, 9)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 3, []int{-1, 1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{5}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{-2}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[2], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{6}, true)
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tree.Put(-3, nil)
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assertValidTree(t, tree, 10)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 3, []int{-1, 1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{5}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[0], 2, 0, []int{-3, -2}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[2], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{6}, true)
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tree.Put(-4, nil)
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assertValidTree(t, tree, 11)
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assertValidTreeNode(t, tree.Root, 2, 3, []int{-1, 3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{-3}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[2], 1, 2, []int{5}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{-4}, true)
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assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{-2}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{0}, true)
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assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[2].Children[0], 1, 0, []int{4}, true)
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assertValidTreeNode(t, tree.Root.Children[2].Children[1], 1, 0, []int{6}, true)
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}
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func TestBTreeRemove1(t *testing.T) {
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// empty
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tree := NewWithIntComparator(3)
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tree.Remove(1)
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assertValidTree(t, tree, 0)
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}
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func TestBTreeRemove2(t *testing.T) {
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// leaf node (no underflow)
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tree := NewWithIntComparator(3)
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tree.Put(1, nil)
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tree.Put(2, nil)
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tree.Remove(1)
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assertValidTree(t, tree, 1)
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assertValidTreeNode(t, tree.Root, 1, 0, []int{2}, false)
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tree.Remove(2)
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assertValidTree(t, tree, 0)
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}
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func TestBTreeRemove3(t *testing.T) {
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// merge with right (underflow)
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{
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tree := NewWithIntComparator(3)
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tree.Put(1, nil)
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tree.Put(2, nil)
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tree.Put(3, nil)
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tree.Remove(1)
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assertValidTree(t, tree, 2)
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assertValidTreeNode(t, tree.Root, 2, 0, []int{2, 3}, false)
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}
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// merge with left (underflow)
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{
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tree := NewWithIntComparator(3)
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tree.Put(1, nil)
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tree.Put(2, nil)
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tree.Put(3, nil)
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tree.Remove(3)
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assertValidTree(t, tree, 2)
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assertValidTreeNode(t, tree.Root, 2, 0, []int{1, 2}, false)
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}
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}
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func TestBTreeRemove4(t *testing.T) {
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// rotate left (underflow)
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tree := NewWithIntComparator(3)
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tree.Put(1, nil)
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tree.Put(2, nil)
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tree.Put(3, nil)
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tree.Put(4, nil)
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assertValidTree(t, tree, 4)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{2}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 2, 0, []int{3, 4}, true)
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tree.Remove(1)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{3}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{2}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{4}, true)
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}
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func TestBTreeRemove5(t *testing.T) {
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// rotate right (underflow)
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tree := NewWithIntComparator(3)
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tree.Put(1, nil)
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tree.Put(2, nil)
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tree.Put(3, nil)
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tree.Put(0, nil)
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assertValidTree(t, tree, 4)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{2}, false)
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assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{0, 1}, true)
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assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{3}, true)
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tree.Remove(3)
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assertValidTree(t, tree, 3)
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assertValidTreeNode(t, tree.Root, 1, 2, []int{1}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{0}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{2}, true)
|
|
}
|
|
|
|
func TestBTreeRemove6(t *testing.T) {
|
|
// root height reduction after a series of underflows on right side
|
|
// use simulator: https://www.cs.usfca.edu/~galles/visualization/BTree.html
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(1, nil)
|
|
tree.Put(2, nil)
|
|
tree.Put(3, nil)
|
|
tree.Put(4, nil)
|
|
tree.Put(5, nil)
|
|
tree.Put(6, nil)
|
|
tree.Put(7, nil)
|
|
|
|
assertValidTree(t, tree, 7)
|
|
assertValidTreeNode(t, tree.Root, 1, 2, []int{4}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{2}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{6}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{1}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{7}, true)
|
|
|
|
tree.Remove(7)
|
|
assertValidTree(t, tree, 6)
|
|
assertValidTreeNode(t, tree.Root, 2, 3, []int{2, 4}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{1}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[2], 2, 0, []int{5, 6}, true)
|
|
}
|
|
|
|
func TestBTreeRemove7(t *testing.T) {
|
|
// root height reduction after a series of underflows on left side
|
|
// use simulator: https://www.cs.usfca.edu/~galles/visualization/BTree.html
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(1, nil)
|
|
tree.Put(2, nil)
|
|
tree.Put(3, nil)
|
|
tree.Put(4, nil)
|
|
tree.Put(5, nil)
|
|
tree.Put(6, nil)
|
|
tree.Put(7, nil)
|
|
|
|
assertValidTree(t, tree, 7)
|
|
assertValidTreeNode(t, tree.Root, 1, 2, []int{4}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{2}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{6}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{1}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{7}, true)
|
|
|
|
tree.Remove(1) // series of underflows
|
|
assertValidTree(t, tree, 6)
|
|
assertValidTreeNode(t, tree.Root, 2, 3, []int{4, 6}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{2, 3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[2], 1, 0, []int{7}, true)
|
|
|
|
// clear all remaining
|
|
tree.Remove(2)
|
|
assertValidTree(t, tree, 5)
|
|
assertValidTreeNode(t, tree.Root, 2, 3, []int{4, 6}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[2], 1, 0, []int{7}, true)
|
|
|
|
tree.Remove(3)
|
|
assertValidTree(t, tree, 4)
|
|
assertValidTreeNode(t, tree.Root, 1, 2, []int{6}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 2, 0, []int{4, 5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{7}, true)
|
|
|
|
tree.Remove(4)
|
|
assertValidTree(t, tree, 3)
|
|
assertValidTreeNode(t, tree.Root, 1, 2, []int{6}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 0, []int{7}, true)
|
|
|
|
tree.Remove(5)
|
|
assertValidTree(t, tree, 2)
|
|
assertValidTreeNode(t, tree.Root, 2, 0, []int{6, 7}, false)
|
|
|
|
tree.Remove(6)
|
|
assertValidTree(t, tree, 1)
|
|
assertValidTreeNode(t, tree.Root, 1, 0, []int{7}, false)
|
|
|
|
tree.Remove(7)
|
|
assertValidTree(t, tree, 0)
|
|
}
|
|
|
|
func TestBTreeRemove8(t *testing.T) {
|
|
// use simulator: https://www.cs.usfca.edu/~galles/visualization/BTree.html
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(1, nil)
|
|
tree.Put(2, nil)
|
|
tree.Put(3, nil)
|
|
tree.Put(4, nil)
|
|
tree.Put(5, nil)
|
|
tree.Put(6, nil)
|
|
tree.Put(7, nil)
|
|
tree.Put(8, nil)
|
|
tree.Put(9, nil)
|
|
|
|
assertValidTree(t, tree, 9)
|
|
assertValidTreeNode(t, tree.Root, 1, 2, []int{4}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{2}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 2, 3, []int{6, 8}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[0], 1, 0, []int{1}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{7}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[2], 1, 0, []int{9}, true)
|
|
|
|
tree.Remove(1)
|
|
assertValidTree(t, tree, 8)
|
|
assertValidTreeNode(t, tree.Root, 1, 2, []int{6}, false)
|
|
assertValidTreeNode(t, tree.Root.Children[0], 1, 2, []int{4}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1], 1, 2, []int{8}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[0], 2, 0, []int{2, 3}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[0].Children[1], 1, 0, []int{5}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[0], 1, 0, []int{7}, true)
|
|
assertValidTreeNode(t, tree.Root.Children[1].Children[1], 1, 0, []int{9}, true)
|
|
}
|
|
|
|
func TestBTreeRemove9(t *testing.T) {
|
|
const max = 1000
|
|
orders := []int{3, 4, 5, 6, 7, 8, 9, 10, 20, 100, 500, 1000, 5000, 10000}
|
|
for _, order := range orders {
|
|
|
|
tree := NewWithIntComparator(order)
|
|
|
|
{
|
|
for i := 1; i <= max; i++ {
|
|
tree.Put(i, i)
|
|
}
|
|
assertValidTree(t, tree, max)
|
|
|
|
for i := 1; i <= max; i++ {
|
|
if _, found := tree.Get(i); !found {
|
|
t.Errorf("Not found %v", i)
|
|
}
|
|
}
|
|
|
|
for i := 1; i <= max; i++ {
|
|
tree.Remove(i)
|
|
}
|
|
assertValidTree(t, tree, 0)
|
|
}
|
|
|
|
{
|
|
for i := max; i > 0; i-- {
|
|
tree.Put(i, i)
|
|
}
|
|
assertValidTree(t, tree, max)
|
|
|
|
for i := max; i > 0; i-- {
|
|
if _, found := tree.Get(i); !found {
|
|
t.Errorf("Not found %v", i)
|
|
}
|
|
}
|
|
|
|
for i := max; i > 0; i-- {
|
|
tree.Remove(i)
|
|
}
|
|
assertValidTree(t, tree, 0)
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestBTreeHeight(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
if actualValue, expectedValue := tree.Height(), 0; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(1, 0)
|
|
if actualValue, expectedValue := tree.Height(), 1; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(2, 1)
|
|
if actualValue, expectedValue := tree.Height(), 1; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(3, 2)
|
|
if actualValue, expectedValue := tree.Height(), 2; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(4, 2)
|
|
if actualValue, expectedValue := tree.Height(), 2; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(5, 2)
|
|
if actualValue, expectedValue := tree.Height(), 2; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(6, 2)
|
|
if actualValue, expectedValue := tree.Height(), 2; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Put(7, 2)
|
|
if actualValue, expectedValue := tree.Height(), 3; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
tree.Remove(1)
|
|
tree.Remove(2)
|
|
tree.Remove(3)
|
|
tree.Remove(4)
|
|
tree.Remove(5)
|
|
tree.Remove(6)
|
|
tree.Remove(7)
|
|
if actualValue, expectedValue := tree.Height(), 0; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeLeftAndRight(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
|
|
if actualValue := tree.Left(); actualValue != nil {
|
|
t.Errorf("Got %v expected %v", actualValue, nil)
|
|
}
|
|
if actualValue := tree.Right(); actualValue != nil {
|
|
t.Errorf("Got %v expected %v", actualValue, nil)
|
|
}
|
|
|
|
tree.Put(1, "a")
|
|
tree.Put(5, "e")
|
|
tree.Put(6, "f")
|
|
tree.Put(7, "g")
|
|
tree.Put(3, "c")
|
|
tree.Put(4, "d")
|
|
tree.Put(1, "x") // overwrite
|
|
tree.Put(2, "b")
|
|
|
|
if actualValue, expectedValue := tree.LeftKey(), 1; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := tree.LeftValue(), "x"; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
|
|
if actualValue, expectedValue := tree.RightKey(), 7; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := tree.RightValue(), "g"; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorValuesAndKeys(t *testing.T) {
|
|
tree := NewWithIntComparator(4)
|
|
tree.Put(4, "d")
|
|
tree.Put(5, "e")
|
|
tree.Put(6, "f")
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(7, "g")
|
|
tree.Put(2, "b")
|
|
tree.Put(1, "x") // override
|
|
if actualValue, expectedValue := fmt.Sprintf("%d%d%d%d%d%d%d", tree.Keys()...), "1234567"; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := fmt.Sprintf("%s%s%s%s%s%s%s", tree.Values()...), "xbcdefg"; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if actualValue := tree.Size(); actualValue != 7 {
|
|
t.Errorf("Got %v expected %v", actualValue, 7)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorNextOnEmpty(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
it := tree.Iterator()
|
|
for it.Next() {
|
|
t.Errorf("Shouldn't iterate on empty tree")
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorPrevOnEmpty(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
it := tree.Iterator()
|
|
for it.Prev() {
|
|
t.Errorf("Shouldn't iterate on empty tree")
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator1Next(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(5, "e")
|
|
tree.Put(6, "f")
|
|
tree.Put(7, "g")
|
|
tree.Put(3, "c")
|
|
tree.Put(4, "d")
|
|
tree.Put(1, "x")
|
|
tree.Put(2, "b")
|
|
tree.Put(1, "a") //overwrite
|
|
it := tree.Iterator()
|
|
count := 0
|
|
for it.Next() {
|
|
count++
|
|
key := it.Key()
|
|
switch key {
|
|
case count:
|
|
if actualValue, expectedValue := key, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := key, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
if actualValue, expectedValue := count, tree.Size(); actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator1Prev(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(5, "e")
|
|
tree.Put(6, "f")
|
|
tree.Put(7, "g")
|
|
tree.Put(3, "c")
|
|
tree.Put(4, "d")
|
|
tree.Put(1, "x")
|
|
tree.Put(2, "b")
|
|
tree.Put(1, "a") //overwrite
|
|
it := tree.Iterator()
|
|
for it.Next() {
|
|
}
|
|
countDown := tree.size
|
|
for it.Prev() {
|
|
key := it.Key()
|
|
switch key {
|
|
case countDown:
|
|
if actualValue, expectedValue := key, countDown; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := key, countDown; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
countDown--
|
|
}
|
|
if actualValue, expectedValue := countDown, 0; actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator2Next(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(2, "b")
|
|
it := tree.Iterator()
|
|
count := 0
|
|
for it.Next() {
|
|
count++
|
|
key := it.Key()
|
|
switch key {
|
|
case count:
|
|
if actualValue, expectedValue := key, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := key, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
if actualValue, expectedValue := count, tree.Size(); actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator2Prev(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(2, "b")
|
|
it := tree.Iterator()
|
|
for it.Next() {
|
|
}
|
|
countDown := tree.size
|
|
for it.Prev() {
|
|
key := it.Key()
|
|
switch key {
|
|
case countDown:
|
|
if actualValue, expectedValue := key, countDown; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := key, countDown; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
countDown--
|
|
}
|
|
if actualValue, expectedValue := countDown, 0; actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator3Next(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(1, "a")
|
|
it := tree.Iterator()
|
|
count := 0
|
|
for it.Next() {
|
|
count++
|
|
key := it.Key()
|
|
switch key {
|
|
case count:
|
|
if actualValue, expectedValue := key, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := key, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
if actualValue, expectedValue := count, tree.Size(); actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator3Prev(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(1, "a")
|
|
it := tree.Iterator()
|
|
for it.Next() {
|
|
}
|
|
countDown := tree.size
|
|
for it.Prev() {
|
|
key := it.Key()
|
|
switch key {
|
|
case countDown:
|
|
if actualValue, expectedValue := key, countDown; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := key, countDown; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
countDown--
|
|
}
|
|
if actualValue, expectedValue := countDown, 0; actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator4Next(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(13, 5)
|
|
tree.Put(8, 3)
|
|
tree.Put(17, 7)
|
|
tree.Put(1, 1)
|
|
tree.Put(11, 4)
|
|
tree.Put(15, 6)
|
|
tree.Put(25, 9)
|
|
tree.Put(6, 2)
|
|
tree.Put(22, 8)
|
|
tree.Put(27, 10)
|
|
it := tree.Iterator()
|
|
count := 0
|
|
for it.Next() {
|
|
count++
|
|
value := it.Value()
|
|
switch value {
|
|
case count:
|
|
if actualValue, expectedValue := value, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := value, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
if actualValue, expectedValue := count, tree.Size(); actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIterator4Prev(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(13, 5)
|
|
tree.Put(8, 3)
|
|
tree.Put(17, 7)
|
|
tree.Put(1, 1)
|
|
tree.Put(11, 4)
|
|
tree.Put(15, 6)
|
|
tree.Put(25, 9)
|
|
tree.Put(6, 2)
|
|
tree.Put(22, 8)
|
|
tree.Put(27, 10)
|
|
it := tree.Iterator()
|
|
count := tree.Size()
|
|
for it.Next() {
|
|
}
|
|
for it.Prev() {
|
|
value := it.Value()
|
|
switch value {
|
|
case count:
|
|
if actualValue, expectedValue := value, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
default:
|
|
if actualValue, expectedValue := value, count; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
count--
|
|
}
|
|
if actualValue, expectedValue := count, 0; actualValue != expectedValue {
|
|
t.Errorf("Size different. Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorBegin(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(2, "b")
|
|
it := tree.Iterator()
|
|
|
|
if it.node != nil {
|
|
t.Errorf("Got %v expected %v", it.node, nil)
|
|
}
|
|
|
|
it.Begin()
|
|
|
|
if it.node != nil {
|
|
t.Errorf("Got %v expected %v", it.node, nil)
|
|
}
|
|
|
|
for it.Next() {
|
|
}
|
|
|
|
it.Begin()
|
|
|
|
if it.node != nil {
|
|
t.Errorf("Got %v expected %v", it.node, nil)
|
|
}
|
|
|
|
it.Next()
|
|
if key, value := it.Key(), it.Value(); key != 1 || value != "a" {
|
|
t.Errorf("Got %v,%v expected %v,%v", key, value, 1, "a")
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorEnd(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
it := tree.Iterator()
|
|
|
|
if it.node != nil {
|
|
t.Errorf("Got %v expected %v", it.node, nil)
|
|
}
|
|
|
|
it.End()
|
|
if it.node != nil {
|
|
t.Errorf("Got %v expected %v", it.node, nil)
|
|
}
|
|
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(2, "b")
|
|
it.End()
|
|
if it.node != nil {
|
|
t.Errorf("Got %v expected %v", it.node, nil)
|
|
}
|
|
|
|
it.Prev()
|
|
if key, value := it.Key(), it.Value(); key != 3 || value != "c" {
|
|
t.Errorf("Got %v,%v expected %v,%v", key, value, 3, "c")
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorFirst(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(2, "b")
|
|
it := tree.Iterator()
|
|
if actualValue, expectedValue := it.First(), true; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if key, value := it.Key(), it.Value(); key != 1 || value != "a" {
|
|
t.Errorf("Got %v,%v expected %v,%v", key, value, 1, "a")
|
|
}
|
|
}
|
|
|
|
func TestBTreeIteratorLast(t *testing.T) {
|
|
tree := NewWithIntComparator(3)
|
|
tree.Put(3, "c")
|
|
tree.Put(1, "a")
|
|
tree.Put(2, "b")
|
|
it := tree.Iterator()
|
|
if actualValue, expectedValue := it.Last(), true; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if key, value := it.Key(), it.Value(); key != 3 || value != "c" {
|
|
t.Errorf("Got %v,%v expected %v,%v", key, value, 3, "c")
|
|
}
|
|
}
|
|
|
|
func TestBTree_search(t *testing.T) {
|
|
{
|
|
tree := NewWithIntComparator(3)
|
|
tree.Root = &Node{Entries: []*Entry{}, Children: make([]*Node, 0)}
|
|
tests := [][]interface{}{
|
|
{0, 0, false},
|
|
}
|
|
for _, test := range tests {
|
|
index, found := tree.search(tree.Root, test[0])
|
|
if actualValue, expectedValue := index, test[1]; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := found, test[2]; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
{
|
|
tree := NewWithIntComparator(3)
|
|
tree.Root = &Node{Entries: []*Entry{{2, 0}, {4, 1}, {6, 2}}, Children: []*Node{}}
|
|
tests := [][]interface{}{
|
|
{0, 0, false},
|
|
{1, 0, false},
|
|
{2, 0, true},
|
|
{3, 1, false},
|
|
{4, 1, true},
|
|
{5, 2, false},
|
|
{6, 2, true},
|
|
{7, 3, false},
|
|
}
|
|
for _, test := range tests {
|
|
index, found := tree.search(tree.Root, test[0])
|
|
if actualValue, expectedValue := index, test[1]; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := found, test[2]; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
func assertValidTree(t *testing.T, tree *Tree, expectedSize int) {
|
|
if actualValue, expectedValue := tree.size, expectedSize; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v for tree size", actualValue, expectedValue)
|
|
}
|
|
}
|
|
|
|
func assertValidTreeNode(t *testing.T, node *Node, expectedEntries int, expectedChildren int, keys []int, hasParent bool) {
|
|
if actualValue, expectedValue := node.Parent != nil, hasParent; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v for hasParent", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := len(node.Entries), expectedEntries; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v for entries size", actualValue, expectedValue)
|
|
}
|
|
if actualValue, expectedValue := len(node.Children), expectedChildren; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v for children size", actualValue, expectedValue)
|
|
}
|
|
for i, key := range keys {
|
|
if actualValue, expectedValue := node.Entries[i].Key, key; actualValue != expectedValue {
|
|
t.Errorf("Got %v expected %v for key", actualValue, expectedValue)
|
|
}
|
|
}
|
|
}
|
|
|
|
func BenchmarkBTree(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
tree := NewWithIntComparator(32)
|
|
for n := 0; n < 1000; n++ {
|
|
tree.Put(n, n)
|
|
}
|
|
for n := 0; n < 1000; n++ {
|
|
tree.Remove(n)
|
|
}
|
|
}
|
|
}
|