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| 1 | +#[derive(Debug)] |
| 2 | +struct Heap<T> { |
| 3 | + nodes: Vec<Option<T>>, |
| 4 | +} |
| 5 | + |
| 6 | +impl<T: std::fmt::Debug + std::cmp::PartialOrd> Heap<T> { |
| 7 | + fn new() -> Self { |
| 8 | + Self { nodes: Vec::new() } |
| 9 | + } |
| 10 | + |
| 11 | + fn push(&mut self, v: T) { |
| 12 | + let mut new_node_index = self.nodes.len(); |
| 13 | + |
| 14 | + self.nodes.push(Some(v)); |
| 15 | + |
| 16 | + let mut parent_index = parent(new_node_index); |
| 17 | + |
| 18 | + while let Some(index) = parent_index { |
| 19 | + if self.nodes[new_node_index] <= self.nodes[index] { |
| 20 | + break; |
| 21 | + } |
| 22 | + |
| 23 | + let tmp = self.nodes[index].take(); |
| 24 | + self.nodes[index] = self.nodes[new_node_index].take(); |
| 25 | + self.nodes[new_node_index] = tmp; |
| 26 | + parent_index = parent(index); |
| 27 | + new_node_index = index; |
| 28 | + } |
| 29 | + } |
| 30 | + |
| 31 | + fn pop(&mut self) -> Option<T> { |
| 32 | + if self.nodes.is_empty() { |
| 33 | + return None; |
| 34 | + } |
| 35 | + |
| 36 | + let nodes_len = self.nodes.len(); |
| 37 | + |
| 38 | + let value = self.nodes[0].take(); |
| 39 | + // TODO: reduce vec size. |
| 40 | + self.nodes[0] = self.nodes[nodes_len - 1].take(); |
| 41 | + |
| 42 | + let mut current_index = 0; |
| 43 | + loop { |
| 44 | + let left = left_child(current_index); |
| 45 | + let right = right_child(current_index); |
| 46 | + |
| 47 | + if self.nodes.get(left) >= self.nodes.get(right) |
| 48 | + && self.nodes.get(left).is_some() |
| 49 | + && self |
| 50 | + .nodes |
| 51 | + .get(left) |
| 52 | + .map(|v| v > &self.nodes[current_index]) |
| 53 | + .unwrap_or(false) |
| 54 | + { |
| 55 | + let tmp = self.nodes[current_index].take(); |
| 56 | + self.nodes[current_index] = self.nodes[left].take(); |
| 57 | + self.nodes[left] = tmp; |
| 58 | + current_index = left; |
| 59 | + } else if self.nodes.get(right).is_some() |
| 60 | + && self |
| 61 | + .nodes |
| 62 | + .get(right) |
| 63 | + .map(|v| v > &self.nodes[current_index]) |
| 64 | + .unwrap_or(false) |
| 65 | + { |
| 66 | + let tmp = self.nodes[current_index].take(); |
| 67 | + self.nodes[current_index] = self.nodes[right].take(); |
| 68 | + self.nodes[right] = tmp; |
| 69 | + current_index = right |
| 70 | + } else { |
| 71 | + break; |
| 72 | + } |
| 73 | + } |
| 74 | + |
| 75 | + self.nodes.truncate(nodes_len - 1); |
| 76 | + |
| 77 | + value |
| 78 | + } |
| 79 | +} |
| 80 | + |
| 81 | +fn parent(i: usize) -> Option<usize> { |
| 82 | + if i == 0 { |
| 83 | + None |
| 84 | + } else { |
| 85 | + Some((i - 1) / 2) |
| 86 | + } |
| 87 | +} |
| 88 | + |
| 89 | +fn left_child(i: usize) -> usize { |
| 90 | + 2 * i + 1 |
| 91 | +} |
| 92 | + |
| 93 | +fn right_child(i: usize) -> usize { |
| 94 | + 2 * i + 2 |
| 95 | +} |
| 96 | + |
| 97 | +fn main() { |
| 98 | + let mut heap = Heap::new(); |
| 99 | + heap.push(1); |
| 100 | + heap.push(2); |
| 101 | + heap.push(3); |
| 102 | + heap.push(5); |
| 103 | + heap.push(4); |
| 104 | + dbg!(&heap); |
| 105 | + |
| 106 | + dbg!(heap.pop()); |
| 107 | + dbg!(heap.pop()); |
| 108 | + dbg!(heap.pop()); |
| 109 | + dbg!(heap.pop()); |
| 110 | + dbg!(heap.pop()); |
| 111 | + dbg!(heap.pop()); |
| 112 | +} |
| 113 | + |
| 114 | +#[cfg(test)] |
| 115 | +mod tests { |
| 116 | + use std::collections::BinaryHeap; |
| 117 | + |
| 118 | + use super::*; |
| 119 | + use quickcheck::quickcheck; |
| 120 | + |
| 121 | + #[derive(Debug, Clone)] |
| 122 | + enum Action { |
| 123 | + Push(i32), |
| 124 | + Pop, |
| 125 | + } |
| 126 | + |
| 127 | + impl quickcheck::Arbitrary for Action { |
| 128 | + fn arbitrary(g: &mut quickcheck::Gen) -> Self { |
| 129 | + if bool::arbitrary(g) { |
| 130 | + Action::Push(i32::arbitrary(g)) |
| 131 | + } else { |
| 132 | + Action::Pop |
| 133 | + } |
| 134 | + } |
| 135 | + } |
| 136 | + |
| 137 | + quickcheck! { |
| 138 | + #[test] |
| 139 | + fn test_heap(xs: Vec<i32>) -> bool{ |
| 140 | + let mut heap = Heap::new(); |
| 141 | + let mut model = BinaryHeap::new(); |
| 142 | + |
| 143 | + for x in xs.iter() { |
| 144 | + heap.push(x); |
| 145 | + model.push(x); |
| 146 | + } |
| 147 | + |
| 148 | + for _ in 0..xs.len() { |
| 149 | + assert_eq!(model.pop(), heap.pop()); |
| 150 | + } |
| 151 | + |
| 152 | + true |
| 153 | + } |
| 154 | + |
| 155 | + #[test] |
| 156 | + fn test_heap_2(actions: Vec<Action>) -> bool { |
| 157 | + let mut heap = Heap::new(); |
| 158 | + let mut model = BinaryHeap::new(); |
| 159 | + |
| 160 | + for action in actions { |
| 161 | + match action { |
| 162 | + Action::Push(v) => { |
| 163 | + model.push(v); |
| 164 | + heap.push(v); |
| 165 | + }, |
| 166 | + Action::Pop => { |
| 167 | + assert_eq!(model.pop(), heap.pop()); |
| 168 | + } |
| 169 | + } |
| 170 | + } |
| 171 | + |
| 172 | + while !model.is_empty() { |
| 173 | + assert_eq!(model.pop(), heap.pop()); |
| 174 | + } |
| 175 | + |
| 176 | + true |
| 177 | + } |
| 178 | + } |
| 179 | +} |
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