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
use std::rc::Rc;
use lazy::static_fn::Lazy;
use self::Tree23::{Leaf,Node2,Node3};
use measure::Measure;
use monoid::Monoid;
pub enum Tree23<T, M>
{
Leaf(T),
Node2(M, Lazy<Tree23<T,M>>, Lazy<Tree23<T,M>>),
Node3(M, Lazy<Tree23<T,M>>, Lazy<Tree23<T,M>>, Lazy<Tree23<T,M>>),
}
impl<T,M> Tree23<T,M>
where T: Measure<M> + 'static,
M: Monoid + Copy + 'static
{
pub fn leaf(value: T) -> L<Tree23<T,M>> {
Lazy::evaluated(Leaf(value))
}
pub fn node2(left: L<Tree23<T,M>>, right: L<Tree23<T,M>>) -> L<Tree23<T,M>> {
ref_lazy!({
let measure = (**left).measure().op(right.measure());
Node2(measure, left, right)
})
}
pub fn node3(left: L<Tree23<T,M>>, middle: L<Tree23<T,M>>, right: L<Tree23<T,M>>) -> L<Tree23<T,M>> {
ref_lazy!({
let measure = left.measure().op(middle.measure()).op(right.measure());
Node3(measure, left, middle, right)
})
}
// pub fn node2<F0,F1>(left: F0, right: F1) -> Tree23<T,M>
// where F0: FnOnce() -> Tree23<T,M> + 'static,
// F1: FnOnce() -> Tree23<T,M> + 'static,
// T: Measure<M>,
// M: Monoid + Copy
// {
// let left = Rc::new(Lazy::new(left));
// let right = Rc::new(Lazy::new(right));
// let measure = (&**left).measure()
// .op((&**right).measure());
// Node2(measure, left, right)
// }
// pub fn node3<F0,F1,F2>(left: F0, middle: F1, right: F2) -> Tree23<T,M>
// where F0: FnOnce() -> Tree23<T,M> + 'static,
// F1: FnOnce() -> Tree23<T,M> + 'static,
// F2: FnOnce() -> Tree23<T,M> + 'static,
// T: Measure<M>,
// M: Monoid + Copy
// {
// let left = Rc::new(Lazy::new(left));
// let middle = Rc::new(Lazy::new(middle));
// let right = Rc::new(Lazy::new(right));
// let measure = (&**left).measure()
// .op((&**middle).measure())
// .op((&**right).measure());
// Node3(measure, left, middle, right)
// }
}
impl<T,M> Tree23<T,M>
{
pub fn iter<'a>(&'a self) -> Iter<'a,T,M> {
Iter::new(self)
}
}
pub struct Iter<'a, T:'a, M:'a> {
stack: Vec<&'a Tree23<T,M>>,
}
impl<'a, T, M> Iter<'a, T, M> {
fn new(node: &'a Tree23<T,M>) -> Iter<'a, T, M> {
Iter {
stack: vec![node],
}
}
pub fn empty() -> Iter<'a, T, M> {
Iter {
stack: vec![],
}
}
}
impl<'a, T:'a, M> Iterator for Iter<'a,T,M> {
type Item = &'a T;
fn next(&mut self) -> Option<&'a T> {
let mut node: &'a Tree23<T,M> = {
match self.stack.pop() {
None => return None,
Some(node) => node
}
};
loop {
match node {
&Leaf(ref x) => return Some(x),
&Node2(_, ref left, ref right) => {
self.stack.push(&**right);
node = &**left;
},
&Node3(_, ref left, ref middle, ref right) => {
self.stack.push(&**right);
self.stack.push(&**middle);
node = &**left;
}
}
}
}
}
impl<T,M> Measure<M> for Tree23<T,M>
where T: Measure<M>,
M: Copy + Monoid
{
fn measure(&self) -> M {
match self {
&Leaf(ref value) => value.measure(),
&Node2(measure, _, _) => measure,
&Node3(measure, _, _, _) => measure,
}
}
}
#[macro_export]
macro_rules! tree23 {
($e:expr) => {
$crate::tree23::Tree23::leaf($e)
};
($e0:expr, $e1:expr) => {
$crate::tree23::Tree23::node2(tree23!($e0), tree23!($e1))
};
($e0:expr, $e1:expr, $e2:expr) => {
$crate::tree23::Tree23::node3(tree23!($e0), tree23!($e1), tree23!($e2))
};
}
#[cfg(test)]
mod test {
use super::*;
use measure::Measure;
struct Item<T>(T);
impl<T> Measure<usize> for Item<T> {
fn measure(&self) -> usize {
1
}
}
#[test]
fn test_tree23_iter() {
let tree: L<Tree23<Item<u32>, usize>> =
Tree23::node2(
Tree23::node3(
Tree23::leaf(Item(0)),
Tree23::leaf(Item(1)),
Tree23::leaf(Item(2))),
Tree23::node2(
Tree23::leaf(Item(3)),
Tree23::leaf(Item(4))));
let result:Vec<u32> = tree.iter().map(|&Item(x)| x).collect();
let expected:Vec<u32> = vec![0,1,2,3,4];
assert_eq!(result, expected);
}
#[test]
fn test_tree23_measure() {
let tree: L<Tree23<Item<u32>, usize>> =
Tree23::node2(
Tree23::node3(
Tree23::leaf(Item(0)),
Tree23::leaf(Item(1)),
Tree23::leaf(Item(2))),
Tree23::node2(
Tree23::leaf(Item(3)),
Tree23::leaf(Item(4))));
assert_eq!(tree.measure(), 5);
}
}