1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193

use crate::{to_right, Prefix, PrefixMap};

#[derive(Clone)]
/// an iterator over all entries of two [`crate::PrefixSet`]s in lexicographic order.
pub struct Union<'a, P> {
    pub(super) set_a: &'a PrefixMap<P, ()>,
    pub(super) set_b: &'a PrefixMap<P, ()>,
    pub(super) nodes: Vec<UnionIndex>,
}

#[derive(Clone, Copy, PartialEq, Eq, Hash, PartialOrd, Ord, Debug)]
pub(super) enum UnionIndex {
    Both(usize, usize),
    FirstA(usize, usize),
    FirstB(usize, usize),
    OnlyA(usize),
    OnlyB(usize),
}

impl<'a, P: Prefix> Iterator for Union<'a, P> {
    type Item = &'a P;

    fn next(&mut self) -> Option<Self::Item> {
        while let Some(cur) = self.nodes.pop() {
            match cur {
                UnionIndex::Both(a, b) => {
                    let node_a = &self.set_a.table[a];
                    let node_b = &self.set_b.table[b];
                    self.nodes.extend(next_indices(
                        self.set_a,
                        self.set_b,
                        node_a.right,
                        node_b.right,
                    ));
                    self.nodes.extend(next_indices(
                        self.set_a,
                        self.set_b,
                        node_a.left,
                        node_b.left,
                    ));
                    if node_a.value.is_some() || node_b.value.is_some() {
                        return Some(&node_a.prefix);
                    }
                }
                UnionIndex::FirstA(a, b) => {
                    let node_a = &self.set_a.table[a];
                    self.nodes.extend(next_indices_first_a(
                        self.set_a,
                        self.set_b,
                        a,
                        node_a.left,
                        node_a.right,
                        b,
                    ));
                    if node_a.value.is_some() {
                        return Some(&node_a.prefix);
                    }
                }
                UnionIndex::FirstB(a, b) => {
                    let node_b = &self.set_b.table[b];
                    self.nodes.extend(next_indices_first_b(
                        self.set_a,
                        self.set_b,
                        a,
                        b,
                        node_b.left,
                        node_b.right,
                    ));
                    if node_b.value.is_some() {
                        return Some(&node_b.prefix);
                    }
                }
                UnionIndex::OnlyA(a) => {
                    let node_a = &self.set_a.table[a];
                    if let Some(right) = node_a.right {
                        self.nodes.push(UnionIndex::OnlyA(right));
                    }
                    if let Some(left) = node_a.left {
                        self.nodes.push(UnionIndex::OnlyA(left));
                    }
                    if node_a.value.is_some() {
                        return Some(&node_a.prefix);
                    }
                }
                UnionIndex::OnlyB(b) => {
                    let node_b = &self.set_b.table[b];
                    if let Some(right) = node_b.right {
                        self.nodes.push(UnionIndex::OnlyB(right));
                    }
                    if let Some(left) = node_b.left {
                        self.nodes.push(UnionIndex::OnlyB(left));
                    }
                    if node_b.value.is_some() {
                        return Some(&node_b.prefix);
                    }
                }
            }
        }
        None
    }
}

fn next_indices<'a, P: Prefix>(
    set_a: &'a PrefixMap<P, ()>,
    set_b: &'a PrefixMap<P, ()>,
    node_a: Option<usize>,
    node_b: Option<usize>,
) -> Vec<UnionIndex> {
    match (node_a, node_b) {
        (None, Some(b)) => vec![UnionIndex::OnlyB(b)],
        (Some(a), None) => vec![UnionIndex::OnlyA(a)],
        (Some(a), Some(b)) => {
            let p_a = &set_a.table[a].prefix;
            let p_b = &set_b.table[b].prefix;
            if p_a.prefix_len() == p_b.prefix_len() {
                match p_a.mask().cmp(&p_b.mask()) {
                    std::cmp::Ordering::Less => {
                        vec![UnionIndex::OnlyB(b), UnionIndex::OnlyA(a)]
                    }
                    std::cmp::Ordering::Equal => {
                        vec![UnionIndex::Both(a, b)]
                    }
                    std::cmp::Ordering::Greater => {
                        vec![UnionIndex::OnlyA(a), UnionIndex::OnlyB(b)]
                    }
                }
            } else if p_a.contains(p_b) {
                vec![UnionIndex::FirstA(a, b)]
            } else if p_b.contains(p_a) {
                vec![UnionIndex::FirstB(a, b)]
            } else {
                if p_a.mask() < p_b.mask() {
                    vec![UnionIndex::OnlyB(b), UnionIndex::OnlyA(a)]
                } else {
                    vec![UnionIndex::OnlyA(a), UnionIndex::OnlyB(b)]
                }
            }
        }
        _ => vec![],
    }
}

fn next_indices_first_a<'a, P: Prefix>(
    set_a: &'a PrefixMap<P, ()>,
    set_b: &'a PrefixMap<P, ()>,
    a: usize,
    a_left: Option<usize>,
    a_right: Option<usize>,
    b: usize,
) -> Vec<UnionIndex> {
    match (a_left, a_right) {
        (None, None) => vec![UnionIndex::OnlyB(b)],
        (None, Some(r)) => next_indices(set_a, set_b, Some(r), Some(b)),
        (Some(l), None) => next_indices(set_a, set_b, Some(l), Some(b)),
        (Some(l), Some(r)) => {
            if to_right(&set_a.table[a].prefix, &set_b.table[b].prefix) {
                let mut idxes = next_indices(set_a, set_b, Some(r), Some(b));
                idxes.push(UnionIndex::OnlyA(l));
                idxes
            } else {
                let mut idxes = next_indices(set_a, set_b, Some(l), Some(b));
                idxes.insert(0, UnionIndex::OnlyA(r));
                idxes
            }
        }
    }
}

fn next_indices_first_b<'a, P: Prefix>(
    set_a: &'a PrefixMap<P, ()>,
    set_b: &'a PrefixMap<P, ()>,
    a: usize,
    b: usize,
    b_left: Option<usize>,
    b_right: Option<usize>,
) -> Vec<UnionIndex> {
    match (b_left, b_right) {
        (None, None) => vec![UnionIndex::OnlyA(a)],
        (None, Some(r)) => next_indices(set_a, set_b, Some(a), Some(r)),
        (Some(l), None) => next_indices(set_a, set_b, Some(a), Some(l)),
        (Some(l), Some(r)) => {
            if to_right(&set_b.table[b].prefix, &set_a.table[a].prefix) {
                let mut idxes = next_indices(set_a, set_b, Some(a), Some(r));
                idxes.push(UnionIndex::OnlyB(l));
                idxes
            } else {
                let mut idxes = next_indices(set_a, set_b, Some(a), Some(l));
                idxes.insert(0, UnionIndex::OnlyB(r));
                idxes
            }
        }
    }
}