-
-
Notifications
You must be signed in to change notification settings - Fork 13
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
* Make 1st 6 tests pass * implement set_value + fix to_tree * refactor up * set_value_after_traversing_up * Implement set_left + set_right * implement all tests * Refactor * Fill metadata * increase difficulty * Assume Node exists in Zipper * Set up scaffold + update difficulty * Ret options from tests (replace unwrap() with ?)
- Loading branch information
Showing
8 changed files
with
576 additions
and
0 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,27 @@ | ||
# Instructions | ||
|
||
Creating a zipper for a binary tree. | ||
|
||
[Zippers][zipper] are a purely functional way of navigating within a data structure and manipulating it. | ||
They essentially contain a data structure and a pointer into that data structure (called the focus). | ||
|
||
For example given a rose tree (where each node contains a value and a list of child nodes) a zipper might support these operations: | ||
|
||
- `from_tree` (get a zipper out of a rose tree, the focus is on the root node) | ||
- `to_tree` (get the rose tree out of the zipper) | ||
- `value` (get the value of the focus node) | ||
- `prev` (move the focus to the previous child of the same parent, | ||
returns a new zipper) | ||
- `next` (move the focus to the next child of the same parent, returns a | ||
new zipper) | ||
- `up` (move the focus to the parent, returns a new zipper) | ||
- `set_value` (set the value of the focus node, returns a new zipper) | ||
- `insert_before` (insert a new subtree before the focus node, it | ||
becomes the `prev` of the focus node, returns a new zipper) | ||
- `insert_after` (insert a new subtree after the focus node, it becomes | ||
the `next` of the focus node, returns a new zipper) | ||
- `delete` (removes the focus node and all subtrees, focus moves to the | ||
`next` node if possible otherwise to the `prev` node if possible, | ||
otherwise to the parent node, returns a new zipper) | ||
|
||
[zipper]: https://en.wikipedia.org/wiki/Zipper_%28data_structure%29 |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,20 @@ | ||
{ | ||
"authors": [ | ||
"0xNeshi" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/lib.cairo" | ||
], | ||
"test": [ | ||
"tests/zipper.cairo" | ||
], | ||
"example": [ | ||
".meta/example.cairo" | ||
], | ||
"invalidator": [ | ||
"Scarb.toml" | ||
] | ||
}, | ||
"blurb": "Creating a zipper for a binary tree." | ||
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,168 @@ | ||
type BinaryTree = Option<Box<BinaryTreeNode>>; | ||
|
||
#[derive(Drop, Debug, PartialEq, Copy)] | ||
struct BinaryTreeNode { | ||
value: u32, | ||
left: BinaryTree, | ||
right: BinaryTree, | ||
} | ||
|
||
pub impl OptionalBinaryTreeNodePartialEq of PartialEq<Option<Box<BinaryTreeNode>>> { | ||
fn eq(lhs: @Option<Box<BinaryTreeNode>>, rhs: @Option<Box<BinaryTreeNode>>) -> bool { | ||
match (lhs, rhs) { | ||
(Option::Some(lhs), Option::Some(rhs)) => (*lhs).unbox() == (*rhs).unbox(), | ||
(Option::None, Option::None) => true, | ||
_ => false | ||
} | ||
} | ||
} | ||
|
||
#[generate_trait] | ||
impl NodeImpl of NodeTrait { | ||
fn set_value(self: BinaryTreeNode, value: u32) -> BinaryTreeNode { | ||
BinaryTreeNode { value, ..self } | ||
} | ||
|
||
fn set_left(self: BinaryTreeNode, left: BinaryTree) -> BinaryTreeNode { | ||
BinaryTreeNode { left, ..self } | ||
} | ||
|
||
fn set_right(self: BinaryTreeNode, right: BinaryTree) -> BinaryTreeNode { | ||
BinaryTreeNode { right, ..self } | ||
} | ||
} | ||
|
||
impl NodeIntoBinaryTree of Into<BinaryTreeNode, BinaryTree> { | ||
fn into(self: BinaryTreeNode) -> BinaryTree { | ||
Option::Some(BoxTrait::new(self)) | ||
} | ||
} | ||
|
||
#[generate_trait] | ||
pub impl BinaryTreeImpl of BinaryTreeTrait { | ||
fn empty() -> BinaryTree { | ||
Option::None | ||
} | ||
|
||
fn new(value: u32, left: BinaryTree, right: BinaryTree) -> BinaryTree { | ||
Option::Some(BoxTrait::new(BinaryTreeNode { value, left, right })) | ||
} | ||
|
||
fn leaf(value: u32) -> BinaryTree { | ||
Self::new(value, Self::empty(), Self::empty()) | ||
} | ||
|
||
fn set_value(self: BinaryTree, value: u32) -> BinaryTree { | ||
Self::new(value, *self.left(), *self.right()) | ||
} | ||
|
||
fn value(self: @BinaryTree) -> Option<u32> { | ||
Option::Some((*self)?.value) | ||
} | ||
|
||
fn left(self: @BinaryTree) -> @BinaryTree { | ||
@match self { | ||
Option::None => Option::None, | ||
Option::Some(bst) => bst.left | ||
} | ||
} | ||
|
||
fn right(self: @BinaryTree) -> @BinaryTree { | ||
@match self { | ||
Option::None => Option::None, | ||
Option::Some(bst) => bst.right | ||
} | ||
} | ||
} | ||
|
||
#[derive(Drop, Copy, Debug, PartialEq)] | ||
enum Path { | ||
Left, | ||
Right | ||
} | ||
|
||
#[derive(Drop, Copy, Debug, PartialEq)] | ||
struct Ancestor { | ||
path: Path, | ||
node: BinaryTreeNode | ||
} | ||
|
||
#[derive(Drop, Debug, PartialEq)] | ||
struct Zipper { | ||
node: BinaryTreeNode, | ||
ancestors: Span<Ancestor> | ||
} | ||
|
||
#[generate_trait] | ||
pub impl ZipperImpl of ZipperTrait { | ||
fn new(tree: BinaryTree, ancestors: Span<Ancestor>) -> Option<Zipper> { | ||
Option::Some(Zipper { node: tree?.unbox(), ancestors }) | ||
} | ||
|
||
fn from_tree(tree: BinaryTree) -> Option<Zipper> { | ||
Self::new(tree, array![].span()) | ||
} | ||
|
||
fn to_tree(self: Zipper) -> BinaryTree { | ||
rebuild_tree(self.node.into(), self.ancestors) | ||
} | ||
|
||
fn value(self: @Zipper) -> @u32 { | ||
self.node.value | ||
} | ||
|
||
fn left(self: Zipper) -> Option<Zipper> { | ||
Self::new( | ||
self.node.left, self.ancestors.append(Ancestor { path: Path::Left, node: self.node }) | ||
) | ||
} | ||
|
||
fn right(self: Zipper) -> Option<Zipper> { | ||
Self::new( | ||
self.node.right, self.ancestors.append(Ancestor { path: Path::Right, node: self.node }) | ||
) | ||
} | ||
|
||
fn up(self: Zipper) -> Option<Zipper> { | ||
let mut ancestors = self.ancestors; | ||
let ancestor = *ancestors.pop_back()?; | ||
Self::new(from_ancestor(self.node.into(), ancestor), ancestors) | ||
} | ||
|
||
fn set_value(self: Zipper, value: u32) -> Zipper { | ||
Self::new(self.node.set_value(value).into(), self.ancestors).unwrap() | ||
} | ||
|
||
fn set_left(self: Zipper, left: BinaryTree) -> Zipper { | ||
Self::new(self.node.set_left(left).into(), self.ancestors).unwrap() | ||
} | ||
|
||
fn set_right(self: Zipper, right: BinaryTree) -> Zipper { | ||
Self::new(self.node.set_right(right).into(), self.ancestors).unwrap() | ||
} | ||
} | ||
|
||
fn from_ancestor(tree: BinaryTree, ancestor: Ancestor) -> BinaryTree { | ||
match ancestor.path { | ||
Path::Left => ancestor.node.set_left(tree).into(), | ||
Path::Right => ancestor.node.set_right(tree).into(), | ||
} | ||
} | ||
|
||
fn rebuild_tree(tree: BinaryTree, ancestors: Span<Ancestor>) -> BinaryTree { | ||
let mut ancestors = ancestors; | ||
if let Option::Some(last) = ancestors.pop_back() { | ||
rebuild_tree(from_ancestor(tree, *last), ancestors) | ||
} else { | ||
tree | ||
} | ||
} | ||
|
||
#[generate_trait] | ||
impl SpanAppendImpl of SpanAppendTrait { | ||
fn append<T, +Drop<T>, +Clone<T>>(self: Span<T>, value: T) -> Span<T> { | ||
let mut arr: Array<T> = self.into(); | ||
arr.append(value); | ||
arr.span() | ||
} | ||
} |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,52 @@ | ||
# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
|
||
[771c652e-0754-4ef0-945c-0675d12ef1f5] | ||
description = "data is retained" | ||
|
||
[d7dcbb92-47fc-4d01-b81a-df3353bc09ff] | ||
description = "left, right and value" | ||
|
||
[613d8286-b05c-4453-b205-e6f9c5966339] | ||
description = "dead end" | ||
|
||
[dda31af7-1c68-4e29-933a-c9d198d94284] | ||
description = "tree from deep focus" | ||
|
||
[1e3072a6-f85b-430b-b014-cdb4087e3577] | ||
description = "traversing up from top" | ||
|
||
[b8505f6a-aed4-4c2e-824f-a0ed8570d74b] | ||
description = "left, right, and up" | ||
|
||
[b9aa8d54-07b7-4bfd-ab6b-7ff7f35930b6] | ||
description = "test ability to descend multiple levels and return" | ||
|
||
[47df1a27-b709-496e-b381-63a03b82ea5f] | ||
description = "set_value" | ||
|
||
[16a1f1a8-dbed-456d-95ac-1cbb6093e0ab] | ||
description = "set_value after traversing up" | ||
|
||
[535a91af-a02e-49cd-8d2c-ecb6e4647174] | ||
description = "set_left with leaf" | ||
|
||
[b3f60c4b-a788-4ffd-be5d-1e69aee61de3] | ||
description = "set_right with null" | ||
|
||
[e91c221d-7b90-4604-b4ec-46638a673a12] | ||
description = "set_right with subtree" | ||
|
||
[c246be85-6648-4e9c-866f-b08cd495149a] | ||
description = "set_value on deep focus" | ||
|
||
[47aa85a0-5240-48a4-9f42-e2ac636710ea] | ||
description = "different paths to same zipper" |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,7 @@ | ||
[package] | ||
name = "zipper" | ||
version = "0.1.0" | ||
edition = "2024_07" | ||
|
||
[dev-dependencies] | ||
cairo_test = "2.8.2" |
Oops, something went wrong.