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95 lines (85 loc) · 2.34 KB
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use bintree::Tree;
use std::fmt;
pub fn is_symmetric<T: fmt::Display>(tree: &Tree<T>) -> bool {
fn is_mirror_of<T: fmt::Display>(t1: &Tree<T>, t2: &Tree<T>) -> bool {
match (t1, t2) {
(Tree::End, Tree::End) => true,
(Tree::End, Tree::Node { .. }) => false,
(Tree::Node { .. }, Tree::End) => false,
(
Tree::Node {
value: _,
left: lleft,
right: lright,
},
Tree::Node {
value: _,
left: rleft,
right: rright,
},
) => is_mirror_of(lleft, rright) && is_mirror_of(lright, rleft),
}
}
match tree {
Tree::Node {
value: _,
left,
right,
} => is_mirror_of(left, right),
Tree::End => true,
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_is_symmetric_end() {
assert_eq!(is_symmetric(&Tree::<char>::end()), true);
}
#[test]
fn test_is_symmetric_leaf() {
assert_eq!(is_symmetric(&Tree::leaf('a')), true);
}
#[test]
fn test_is_symmetric() {
assert_eq!(
is_symmetric(&Tree::node('a', Tree::leaf('b'), Tree::leaf('c'))),
true
);
assert_eq!(
is_symmetric(&Tree::node('a', Tree::leaf('b'), Tree::end())),
false
);
assert_eq!(
is_symmetric(&Tree::node('a', Tree::end(), Tree::leaf('c'))),
false
);
}
#[test]
fn test_is_symmetric_complex() {
let tree = Tree::node(
'a',
Tree::node(
'b',
Tree::node('d', Tree::end(), Tree::leaf('e')),
Tree::end(),
),
Tree::node(
'c',
Tree::end(),
Tree::node('f', Tree::leaf('g'), Tree::end()),
),
);
assert_eq!(is_symmetric(&tree), true);
let tree = Tree::node(
'a',
Tree::node('b', Tree::leaf('d'), Tree::leaf('e')),
Tree::node(
'c',
Tree::end(),
Tree::node('f', Tree::leaf('g'), Tree::end()),
),
);
assert_eq!(is_symmetric(&tree), false);
}
}