https://github.com/0xwoland/fast-ntt

Number Theoretic Transform in Rust
https://github.com/0xwoland/fast-ntt

ntt

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Number Theoretic Transform in Rust

• Host: GitHub
• URL: https://github.com/0xwoland/fast-ntt
• Owner: 0xWOLAND
• Created: 2023-10-18T22:30:01.000Z (over 1 year ago)
• Default Branch: master
• Last Pushed: 2024-01-10T09:11:19.000Z (over 1 year ago)
• Last Synced: 2025-02-10T00:51:49.777Z (4 months ago)
• Topics: ntt
• Language: Rust
• Homepage:
• Size: 86.9 KB
• Stars: 3
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# fast-ntt [![Rust](https://github.com/0xWOLAND/fast-ntt/actions/workflows/rust.yml/badge.svg)](https://github.com/0xWOLAND/fast-ntt/actions/workflows/rust.yml)

fast-ntt is a Rust package to compute polynomial multiplication in `O(nlog(n))` time.

## Usage

```rust

// Polynomial Addition

    let a = Polynomial::new(vec![1, 2, 3, 4].iter().map(|&x| BigInt::from(x)).collect());

    let b = Polynomial::new(vec![1, 2].iter().map(|&x| BigInt::from(x)).collect());

    println!("{}", a + b);

// Polynomial Multiplication

    let a = Polynomial::new(vec![1, 2, 3].iter().map(|&x| BigInt::from(x)).collect());

    let b = Polynomial::new(

        vec![1, 2, 3, 4]

            .iter()

            .map(|&x| BigInt::from(x))

            .collect(),

    );

    let c: Constants = working_modulus(N, M);

    println!("{}", fast_mul(a, b, c));

// Polynomial Differentiation

    let a = Polynomial::new(vec![3, 2, 1].iter().map(|&x| BigInt::from(x)).collect());

    let da = diff(a);

```

## Benchmarks

Generate benchmarks using:

```bash

# If you don't have it already

cargo install cargo-criterion criterion-table -- --cfg

cargo criterion --message-format=json --features parallel | criterion-table > BENCHMARKS.md

```

Benchmarks are also available [here](./BENCHMARKS.md)