pairing_plus/
hash_to_field.rs

/*!
 This module implements hash_to_field and related hashing primitives
 for use with BLS signatures.
*/

use digest::generic_array::{typenum::Unsigned, ArrayLength, GenericArray};
use digest::{BlockInput, Digest, ExtendableOutput, Input};
use std::marker::PhantomData;

/// hash_to_field for type T using ExpandMsg variant X
pub fn hash_to_field<T, X>(msg: &[u8], dst: &[u8], count: usize) -> Vec<T>
where
    T: FromRO,
    X: ExpandMsg,
{
    let len_per_elm = <T as FromRO>::Length::to_usize();
    let len_in_bytes = count * len_per_elm;
    let pseudo_random_bytes = X::expand_message(msg, dst, len_in_bytes);

    let mut ret = Vec::<T>::with_capacity(count);
    for idx in 0..count {
        let bytes_to_convert = &pseudo_random_bytes[idx * len_per_elm..(idx + 1) * len_per_elm];
        let bytes_arr = GenericArray::<u8, <T as FromRO>::Length>::from_slice(bytes_to_convert);
        ret.push(T::from_ro(bytes_arr));
    }

    ret
}

/// Generate a field element from a random string of bytes
pub trait FromRO {
    type Length: ArrayLength<u8>;

    fn from_ro(okm: &GenericArray<u8, <Self as FromRO>::Length>) -> Self;
}

/// BaseFromRO is a FromRO impl for a field with extension degree 1.
impl<T: BaseFromRO> FromRO for T {
    type Length = <T as BaseFromRO>::BaseLength;

    fn from_ro(okm: &GenericArray<u8, <Self as FromRO>::Length>) -> T {
        T::from_okm(okm)
    }
}

/// Generate an element of a base field for a random string of bytes
/// (used by FromRO for extension fields).
pub trait BaseFromRO {
    type BaseLength: ArrayLength<u8>;

    fn from_okm(okm: &GenericArray<u8, <Self as BaseFromRO>::BaseLength>) -> Self;
}

/// Trait for types implementing expand_message interface for hash_to_field
pub trait ExpandMsg {
    fn expand_message(msg: &[u8], dst: &[u8], len_in_bytes: usize) -> Vec<u8>;
}

/// Placeholder type for implementing expand_message_xof based on a hash function
#[derive(Debug)]
pub struct ExpandMsgXof<HashT> {
    phantom: PhantomData<HashT>,
}

/// ExpandMsgXof implements expand_message_xof for the ExpandMsg trait
impl<HashT> ExpandMsg for ExpandMsgXof<HashT>
where
    HashT: Default + ExtendableOutput + Input,
{
    fn expand_message(msg: &[u8], dst: &[u8], len_in_bytes: usize) -> Vec<u8> {
        HashT::default()
            .chain(msg)
            .chain([
                (len_in_bytes >> 8) as u8,
                len_in_bytes as u8,
            ])
            .chain(dst)
            .chain([dst.len() as u8])
            .vec_result(len_in_bytes)
    }
}

/// Placeholder type for implementing expand_message_xmd based on a hash function
#[derive(Debug)]
pub struct ExpandMsgXmd<HashT> {
    phantom: PhantomData<HashT>,
}

/// ExpandMsgXmd implements expand_message_xmd for the ExpandMsg trait
impl<HashT> ExpandMsg for ExpandMsgXmd<HashT>
where
    HashT: Digest + BlockInput,
{
    fn expand_message(msg: &[u8], dst: &[u8], len_in_bytes: usize) -> Vec<u8> {
        let b_in_bytes = <HashT as Digest>::OutputSize::to_usize();
        let ell = (len_in_bytes + b_in_bytes - 1) / b_in_bytes;
        if ell > 255 {
            panic!("ell was too big in expand_message_xmd");
        }
        let b_0 = HashT::new()
            .chain(GenericArray::<u8, <HashT as BlockInput>::BlockSize>::default())
            .chain(msg)
            .chain([
                (len_in_bytes >> 8) as u8,
                len_in_bytes as u8,
                0u8,
            ])
            .chain(dst)
            .chain([dst.len() as u8])
            .result();

        let mut b_vals = Vec::<u8>::with_capacity(ell * b_in_bytes);
        // b_1
        b_vals.extend_from_slice(
            HashT::new()
                .chain(&b_0[..])
                .chain([1u8])
                .chain(dst)
                .chain([dst.len() as u8])
                .result()
                .as_ref(),
        );

        for idx in 1..ell {
            // b_0 XOR b_(idx - 1)
            let mut tmp = GenericArray::<u8, <HashT as Digest>::OutputSize>::default();
            b_0.iter()
                .zip(&b_vals[(idx - 1) * b_in_bytes..idx * b_in_bytes])
                .enumerate()
                .for_each(|(jdx, (b0val, bi1val))| tmp[jdx] = b0val ^ bi1val);
            b_vals.extend_from_slice(
                HashT::new()
                    .chain(tmp)
                    .chain([(idx + 1) as u8])
                    .chain(dst)
                    .chain([dst.len() as u8])
                    .result()
                    .as_ref(),
            );
        }

        b_vals.truncate(len_in_bytes);
        b_vals
    }
}
pairing_plus/hash_to_field.rs

pairing_plus/
hash_to_field.rs
