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https://github.com/lucidfrontier45/tree_traversal

A Rust library for finding the optimal leaf node in a tree structure.
https://github.com/lucidfrontier45/tree_traversal

algorithms combinatorial-optimization integer-programming optimization optimization-algorithms rust tree tree-search

Last synced: 2 months ago
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A Rust library for finding the optimal leaf node in a tree structure.

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# tree_traversal
A Rust library for finding the optimal leaf node in a tree structure.
This crate implements several tree traversal algorithms to find the best (the lowest cost) leaf node in a tree.

# Algorithms

- Breadth First Search
- Depth First Search
- Beam Search
- Branch and Bound Search
- Greedy Search

# Using this crate

```bash
cargo add tree_traversal
```

# Example

```rust
use tree_traversal::bbs::bbs;

type Node = Vec;
fn main() {
let weights = [4, 2, 6, 3, 4];
let profits = [100, 20, 2, 5, 10];
let capacity = 8 as u32;
let total_items = weights.len();

let successor_fn = |n: &Node| {
if n.len() == total_items {
return vec![];
}

let total_weight: u32 = n
.iter()
.copied()
.enumerate()
.map(|(i, b)| {
if b {
return weights[i];
} else {
return 0;
}
})
.sum();

let mut childrean = vec![];

let next_idx = n.len();
if capacity >= total_weight + weights[next_idx] {
let mut c1 = n.clone();
c1.push(true);
childrean.push(c1);
}

let mut c2 = n.clone();
c2.push(false);
childrean.push(c2);

childrean
};

let total_profit = |n: &Node| {
let s: u32 = n
.iter()
.copied()
.enumerate()
.map(|(i, b)| {
if b {
return profits[i];
} else {
return 0;
}
})
.sum();
s
};

let lower_bound_fn = |n: &Node| {
let current_profit = total_profit(n);
let max_remained_profit: u32 = profits[n.len()..].into_iter().sum();
Some(u32::MAX - (current_profit + max_remained_profit))
};

let cost_fn = |n: &Node| Some(u32::MAX - total_profit(n));

let leaf_check_fn = |n: &Node| n.len() == total_items;
let max_ops = usize::MAX;

let (cost, best_node) = bbs(
vec![],
successor_fn,
lower_bound_fn,
cost_fn,
leaf_check_fn,
max_ops,
)
.unwrap();
let cost = u32::MAX - cost;

dbg!((best_node, cost));
}
```

# Note

The API is derived from the great [pathfinding](https://docs.rs/pathfinding/latest/pathfinding/index.html) crate.