BinaryTrees
func shortcuts
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@ -31,6 +31,31 @@ pub trait BinaryTrees<'a>: 'a + Clone {
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fn resolve(&self, reference: &Self::Reference) -> BTWrap<'a, Self, Self::Node>;
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fn equal(&self, rhs: &Self::Reference, lhs: &Self::Reference) -> bool;
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fn refer(&self, tree: &Self::Tree) -> Option<Self::Reference>;
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fn bind<A: 'a, B: 'a>(
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fa: BTWrap<'a, Self, A>,
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f: impl 'a + FnOnce(A) -> BTWrap<'a, Self, B>,
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) -> BTWrap<'a, Self, B> {
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<Self::T as Monad>::bind(fa, f)
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}
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fn pure<A: 'a>(a: A) -> BTWrap<'a, Self, A> {
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<Self::T as Pure>::pure(a)
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}
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fn fmap<A: 'a, B: 'a>(
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fa: BTWrap<'a, Self, A>,
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f: impl 'a + FnOnce(A) -> B,
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) -> BTWrap<'a, Self, B> {
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<Self::T as Functor>::fmap(fa, f)
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}
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fn fail<A: 'a, E: 'a>(e: E) -> BTWrap<'a, Self, A>
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where
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Self::T: Fail<'a, E>,
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{
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<Self::T as Fail<_>>::fail(e)
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}
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}
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pub trait BinaryTreesMutable<'a>: BinaryTrees<'a> {
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@ -49,15 +74,15 @@ pub trait BinaryTreesMutable<'a>: BinaryTrees<'a> {
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key: KeyRc<'a, Self>,
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tr: Self::Tree,
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) -> BTWrap<'a, Self, Self::Tree> {
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<Self::T as Monad>::bind(self.clone().join_key(tl, key, tr), move |n| self.tree_of(n))
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Self::bind(self.clone().join_key(tl, key, tr), move |n| self.tree_of(n))
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}
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fn join(self, tl: Self::Tree, tr: Self::Tree) -> BTWrap<'a, Self, Self::Tree> {
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let Some(rl) = self.refer(&tl) else {
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return <Self::T as Pure>::pure(tr)
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return Self::pure(tr)
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};
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let Some(rr) = self.refer(&tr) else {
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return <Self::T as Pure>::pure(tl)
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return Self::pure(tl)
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};
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Self::T::bind2(self.resolve(&rl), self.resolve(&rr), move |nl, nr| {
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let (tll, tlr, kl) = self.split(&nl);
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@ -65,11 +90,11 @@ pub trait BinaryTreesMutable<'a>: BinaryTrees<'a> {
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let ft = self.clone().join(tlr, trl);
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let ft = {
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let ctx = self.clone();
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<Self::T as Monad>::bind(ft, move |t| ctx.join_key_tree(tll, kl, t))
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Self::bind(ft, move |t| ctx.join_key_tree(tll, kl, t))
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};
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let ft = {
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let ctx = self.clone();
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<Self::T as Monad>::bind(ft, move |t| ctx.join_key_tree(t, kr, trr))
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Self::bind(ft, move |t| ctx.join_key_tree(t, kr, trr))
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};
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ft
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})
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@ -88,17 +113,13 @@ pub trait BinaryTreesMutable<'a>: BinaryTrees<'a> {
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) -> BTWrap<'a, Self, KeySplit<'a, Self>> {
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let (tl, tr, k) = self.split(&node);
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match self.comparator().pick_smaller(&key, &k) {
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Comparison::L => {
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<Self::T as Monad>::bind(self.clone().split_key(tl, key), move |(tll, tlr)| {
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<Self::T as Functor>::fmap(self.join_key_tree(tlr, k, tr), |t| (tll, t))
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})
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}
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Comparison::E => <Self::T as Pure>::pure((tl, tr)),
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Comparison::R => {
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<Self::T as Monad>::bind(self.clone().split_key(tr, key), move |(trl, trr)| {
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<Self::T as Functor>::fmap(self.join_key_tree(tl, k, trl), |t| (t, trr))
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})
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}
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Comparison::L => Self::bind(self.clone().split_key(tl, key), move |(tll, tlr)| {
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Self::fmap(self.join_key_tree(tlr, k, tr), |t| (tll, t))
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}),
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Comparison::E => Self::pure((tl, tr)),
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Comparison::R => Self::bind(self.clone().split_key(tr, key), move |(trl, trr)| {
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Self::fmap(self.join_key_tree(tl, k, trl), |t| (t, trr))
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}),
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}
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}
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@ -108,7 +129,7 @@ pub trait BinaryTreesMutable<'a>: BinaryTrees<'a> {
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key: KeyRc<'a, Self>,
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) -> BTWrap<'a, Self, KeySplit<'a, Self>> {
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match self.refer(&tree) {
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Some(reference) => <Self::T as Monad>::bind(self.resolve(&reference), |node| {
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Some(reference) => Self::bind(self.resolve(&reference), |node| {
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self.split_key_node(node, key)
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}),
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None => self.split_key_empty(tree, key),
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@ -116,17 +137,17 @@ pub trait BinaryTreesMutable<'a>: BinaryTrees<'a> {
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}
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fn add(self, tree: Self::Tree, key: KeyRc<'a, Self>) -> BTWrap<'a, Self, Self::Node> {
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<Self::T as Monad>::bind(self.clone().split_key(tree, key.clone()), |(tl, tr)| {
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Self::bind(self.clone().split_key(tree, key.clone()), |(tl, tr)| {
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self.join_key(tl, key, tr)
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})
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}
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fn add_tree(self, tree: Self::Tree, key: KeyRc<'a, Self>) -> BTWrap<'a, Self, Self::Tree> {
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<Self::T as Monad>::bind(self.clone().add(tree, key), move |n| self.tree_of(n))
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Self::bind(self.clone().add(tree, key), move |n| self.tree_of(n))
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}
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fn remove(self, tree: Self::Tree, key: KeyRc<'a, Self>) -> BTWrap<'a, Self, Self::Tree> {
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<Self::T as Monad>::bind(self.clone().split_key(tree, key.clone()), |(tl, tr)| {
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Self::bind(self.clone().split_key(tree, key.clone()), |(tl, tr)| {
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self.join(tl, tr)
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})
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}
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@ -157,7 +178,7 @@ pub trait BinaryTreesAvl<'a>: BinaryTrees<'a> {
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key: KeyRc<'a, Self>,
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tr: Self::Tree,
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) -> BTWrap<'a, Self, Self::Tree> {
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<Self::T as Monad>::bind(self.clone().join_key_balanced(tl, key, tr), move |node| {
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Self::bind(self.clone().join_key_balanced(tl, key, tr), move |node| {
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self.tree_of(node)
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})
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}
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@ -171,11 +192,11 @@ pub trait BinaryTreesAvl<'a>: BinaryTrees<'a> {
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let (lh, rh) = (self.height(&tl), self.height(&tr));
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match (lh.saturating_sub(rh), rh.saturating_sub(lh)) {
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(0, 0) | (0, 1) | (1, 0) => self.join_key_unbalanced(tl, key, tr),
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(0, _) => <Self::T as Monad>::bind(self.assume_node(&tr), move |nr| {
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(0, _) => Self::bind(self.assume_node(&tr), move |nr| {
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let (trl, trr, kr) = self.split(&nr);
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let (rlh, rrh) = (self.height(&trl), self.height(&trr));
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if rlh > rrh {
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<Self::T as Monad>::bind(self.assume_node(&trl), move |nrl| {
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Self::bind(self.assume_node(&trl), move |nrl| {
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let (trll, trlr, krl) = self.split(&nrl);
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Self::T::bind2(
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self.clone().join_key_balanced_tree(tl, key, trll),
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@ -184,17 +205,16 @@ pub trait BinaryTreesAvl<'a>: BinaryTrees<'a> {
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)
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})
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} else {
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<Self::T as Monad>::bind(
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self.clone().join_key_balanced_tree(tl, key, trl),
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|t| self.join_key_balanced(t, kr, trr),
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)
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Self::bind(self.clone().join_key_balanced_tree(tl, key, trl), |t| {
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self.join_key_balanced(t, kr, trr)
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})
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}
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}),
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(_, 0) => <Self::T as Monad>::bind(self.assume_node(&tl), move |nl| {
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(_, 0) => Self::bind(self.assume_node(&tl), move |nl| {
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let (tll, tlr, kl) = self.split(&nl);
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let (llh, lrh) = (self.height(&tll), self.height(&tlr));
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if llh < lrh {
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<Self::T as Monad>::bind(self.assume_node(&tlr), move |nlr| {
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Self::bind(self.assume_node(&tlr), move |nlr| {
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let (tlrl, tlrr, klr) = self.split(&nlr);
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Self::T::bind2(
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self.clone().join_key_balanced_tree(tll, kl, tlrl),
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@ -203,10 +223,9 @@ pub trait BinaryTreesAvl<'a>: BinaryTrees<'a> {
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)
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})
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} else {
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<Self::T as Monad>::bind(
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self.clone().join_key_balanced_tree(tlr, key, tr),
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|t| self.join_key_balanced(tll, kl, t),
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)
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Self::bind(self.clone().join_key_balanced_tree(tlr, key, tr), |t| {
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self.join_key_balanced(tll, kl, t)
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})
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}
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}),
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(_, _) => unreachable!(),
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@ -41,8 +41,8 @@ impl<'a, Ctx: Context<'a>, A: Mentionable<'a, Ctx>, C: 'a + Comparator<A>> Binar
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fn tree_of(&self, node: Self::Node) -> BTWrap<'a, Self, Self::Tree> {
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match node.into_tree() {
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Ok(tree) => <Self::T as Pure>::pure(tree),
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Err(e) => <Self::T as Fail<_>>::fail(ResolutionError::Parse(e)),
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Ok(tree) => Self::pure(tree),
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Err(e) => Self::fail(ResolutionError::Parse(e)),
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}
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}
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