### Initialize and Verify Incremental Merkle Tree in Rust

Source: https://github.com/herodotusdev/rust-accumulators/blob/develop/src/merkle_tree/README.md

This example demonstrates how to initialize an `IncrementalMerkleTree` using `StarkPoseidonHasher` and `InMemoryStore`, then retrieve and verify an inclusion proof. It shows both a valid and an invalid proof verification.

```rust
use accumulators::{
    hasher::stark_poseidon::StarkPoseidonHasher,
    merkle_tree::incremental::IncrementalMerkleTree, store::memory::InMemoryStore,
};

let store = InMemoryStore::new();
let store = Arc::new(store);
let hasher = StarkPoseidonHasher::new(Some(false));

let tree = IncrementalMerkleTree::initialize(16, "0x0".to_string(), hasher, store, None).await?;

let path = tree.get_inclusion_proof(10).await?;
let valid_proof = tree.verify_proof(10, "0x0", &path).await?;
assert!(valid_proof);

let invalid_proof = tree.verify_proof(10, "0x1", &path).await?;
assert!(!invalid_proof);
```

--------------------------------

### Draft Merkle Mountain Range (MMR) Precomputation in Rust

Source: https://github.com/herodotusdev/rust-accumulators/blob/develop/src/mmr/README.md

Shows the functionality of `DraftMMR` in Rust, which allows for precomputation of MMR states. It demonstrates starting a draft, appending elements within the draft, calculating the draft's root, committing the draft to the main MMR, and discarding a draft to revert changes. This enables speculative updates without immediately altering the main MMR.

```Rust
use accumulators::{
    hasher::stark_poseidon::StarkPoseidonHasher, mmr::MMR, store::memory::InMemoryStore,
};

let store = InMemoryStore::new();
let store = Arc::new(store);
let hasher = Arc::new(StarkPoseidonHasher::new(Some(false)));

let mut mmr = MMR::new(store.clone(), hasher.clone(), None);

mmr.append("1".to_string()).await?;
mmr.append("2".to_string()).await?;

let mut draft = mmr.start_draft().await;
draft
    .mmr
    .append("3".to_string())
    .await?;

draft
    .mmr
    .append("4".to_string())
    .await?;

let draft_bag = draft.mmr.bag_the_peaks(None).await?;
let draft_root = draft
    .mmr
    .calculate_root_hash(&draft_bag, draft.mmr.elements_count.get().await?)?;

draft.commit().await?;

let bag = mmr.bag_the_peaks(None).await?;
let root = mmr
    .calculate_root_hash(&bag, mmr.elements_count.get().await?)?;

assert_eq!(draft_root, root);

let mut draft = mmr.start_draft().await?;
draft
    .mmr
    .append("5".to_string())
    .await?;

draft
    .mmr
    .append("6".to_string())
    .await?;

draft.discard();

let after_discard_bag = mmr.bag_the_peaks(None).await?;
let after_discard_root = mmr
    .calculate_root_hash(&after_discard_bag, mmr.elements_count.get().await?)?;

assert_eq!(after_discard_root, root);
```

--------------------------------

### Basic Merkle Mountain Range (MMR) Operations in Rust

Source: https://github.com/herodotusdev/rust-accumulators/blob/develop/src/mmr/README.md

Demonstrates the fundamental usage of the Merkle Mountain Range (MMR) in Rust, including initialization, appending elements, generating a proof for an element, and verifying that proof. It utilizes an `InMemoryStore` for data persistence and `StarkPoseidonHasher` for hashing, showcasing core MMR functionalities.

```Rust
use accumulators::{
    hasher::stark_poseidon::StarkPoseidonHasher, mmr::MMR, store::memory::InMemoryStore,
};

let store = InMemoryStore::default();
let store_rc = Arc::new(store);
let hasher = Arc::new(StarkPoseidonHasher::new(Some(false)));

let mut mmr = MMR::new(store_rc, hasher, None);

mmr.append("1".to_string()).await?;
mmr.append("2".to_string()).await?;
mmr.append("3".to_string()).await?;
let example_value = "4".to_string();
let example_append = mmr
    .append(example_value.clone())
    .await?;

let proof = mmr
    .get_proof(example_append.element_index, None)
    .await?;

assert!(mmr
    .verify_proof(proof, example_value, None)
    .await?)
```

--------------------------------

### Add Rust Accumulators Dependency to Cargo.toml

Source: https://github.com/herodotusdev/rust-accumulators/blob/develop/README.md

This snippet demonstrates how to include the `accumulators` crate as a dependency in your Rust project's `Cargo.toml` file. The `features = ["all"]` option enables all available features of the library.

```TOML
accumulators = { version = "0.4", features = ["all"] }
```

--------------------------------

### Stacked Merkle Mountain Range (MMR) Usage in Rust

Source: https://github.com/herodotusdev/rust-accumulators/blob/develop/src/mmr/README.md

Illustrates how to use a `StackedMMR` in Rust, which is designed to reduce data duplication when handling multiple MMRs. It shows initializing a stacked MMR with existing sub-MMRs, appending new elements, and then proving and verifying an element from the stacked structure. This is useful for managing complex data structures efficiently.

```Rust
use accumulators::{
    hasher::stark_poseidon::StarkPoseidonHasher, mmr::MMR, store::memory::InMemoryStore,
};

let store = InMemoryStore::new();
let store = Arc::new(store);
let hasher = Arc::new(StarkPoseidonHasher::new(Some(false)));

let mut mmr = MMR::new(store.clone(), hasher.clone(), None);

let example_value = "1".to_string();
let example_append = mmr
    .append(example_value.clone())
    .await?;

let sub_mmrs = vec![(mmr.elements_count.get().await?, mmr.get_metadata())];

let mut stacked_mmr =
    MMR::new_stacked(store.clone(), hasher.clone(), None, sub_mmrs.clone()).await?;
stacked_mmr
    .append("2".to_string())
    .await?;

let proof = stacked_mmr
    .get_proof(example_append.element_index, None)
    .await?;

assert!(stacked_mmr
    .verify_proof(proof, example_value, None)
    .await?);
```

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