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use bellman::pairing::{
Engine,
};
use bellman::pairing::ff::{
Field,
PrimeField,
SqrtField
};
use group_hash::group_hash;
use constants;
use bellman::pairing::bls12_381::{
Bls12,
Fr
};
pub mod edwards;
pub mod montgomery;
pub mod fs;
#[cfg(test)]
pub mod tests;
pub enum Unknown { }
pub enum PrimeOrder { }
#[derive(Copy, Clone)]
pub enum FixedGenerators {
ProofGenerationKey = 0,
NoteCommitmentRandomness = 1,
NullifierPosition = 2,
ValueCommitmentValue = 3,
ValueCommitmentRandomness = 4,
SpendingKeyGenerator = 5,
Max = 6
}
pub trait ToUniform {
fn to_uniform(digest: &[u8]) -> Self;
fn to_uniform_32(digest: &[u8]) -> Self;
}
pub trait JubjubEngine: Engine {
type Fs: PrimeField + SqrtField + ToUniform;
type Params: JubjubParams<Self>;
}
pub trait JubjubParams<E: JubjubEngine>: Sized + Send + Sync + Clone {
fn edwards_d(&self) -> &E::Fr;
fn montgomery_a(&self) -> &E::Fr;
fn montgomery_2a(&self) -> &E::Fr;
fn scale(&self) -> &E::Fr;
fn pedersen_hash_generators(&self) -> &[edwards::Point<E, PrimeOrder>];
fn pedersen_hash_exp_table(&self) -> &[Vec<Vec<edwards::Point<E, PrimeOrder>>>];
fn pedersen_hash_chunks_per_generator(&self) -> usize;
fn pedersen_circuit_generators(&self) -> &[Vec<Vec<(E::Fr, E::Fr)>>];
fn fixed_base_chunks_per_generator(&self) -> usize;
fn generator(&self, base: FixedGenerators) -> &edwards::Point<E, PrimeOrder>;
fn circuit_generators(&self, FixedGenerators) -> &[Vec<(E::Fr, E::Fr)>];
fn pedersen_hash_exp_window_size(&self) -> u32;
}
impl JubjubEngine for Bls12 {
type Fs = self::fs::Fs;
type Params = JubjubBls12;
}
#[derive(Clone)]
pub struct JubjubBls12 {
edwards_d: Fr,
montgomery_a: Fr,
montgomery_2a: Fr,
scale: Fr,
pedersen_hash_generators: Vec<edwards::Point<Bls12, PrimeOrder>>,
pedersen_hash_exp: Vec<Vec<Vec<edwards::Point<Bls12, PrimeOrder>>>>,
pedersen_circuit_generators: Vec<Vec<Vec<(Fr, Fr)>>>,
fixed_base_generators: Vec<edwards::Point<Bls12, PrimeOrder>>,
fixed_base_circuit_generators: Vec<Vec<Vec<(Fr, Fr)>>>,
}
impl JubjubParams<Bls12> for JubjubBls12 {
fn edwards_d(&self) -> &Fr { &self.edwards_d }
fn montgomery_a(&self) -> &Fr { &self.montgomery_a }
fn montgomery_2a(&self) -> &Fr { &self.montgomery_2a }
fn scale(&self) -> &Fr { &self.scale }
fn pedersen_hash_generators(&self) -> &[edwards::Point<Bls12, PrimeOrder>] {
&self.pedersen_hash_generators
}
fn pedersen_hash_exp_table(&self) -> &[Vec<Vec<edwards::Point<Bls12, PrimeOrder>>>] {
&self.pedersen_hash_exp
}
fn pedersen_hash_chunks_per_generator(&self) -> usize {
63
}
fn fixed_base_chunks_per_generator(&self) -> usize {
84
}
fn pedersen_circuit_generators(&self) -> &[Vec<Vec<(Fr, Fr)>>] {
&self.pedersen_circuit_generators
}
fn generator(&self, base: FixedGenerators) -> &edwards::Point<Bls12, PrimeOrder>
{
&self.fixed_base_generators[base as usize]
}
fn circuit_generators(&self, base: FixedGenerators) -> &[Vec<(Fr, Fr)>]
{
&self.fixed_base_circuit_generators[base as usize][..]
}
fn pedersen_hash_exp_window_size(&self) -> u32 {
8
}
}
impl JubjubBls12 {
pub fn new() -> Self {
let montgomery_a = Fr::from_str("40962").unwrap();
let mut montgomery_2a = montgomery_a;
montgomery_2a.double();
let mut tmp_params = JubjubBls12 {
edwards_d: Fr::from_str("19257038036680949359750312669786877991949435402254120286184196891950884077233").unwrap(),
montgomery_a: montgomery_a,
montgomery_2a: montgomery_2a,
scale: Fr::from_str("17814886934372412843466061268024708274627479829237077604635722030778476050649").unwrap(),
pedersen_hash_generators: vec![],
pedersen_hash_exp: vec![],
pedersen_circuit_generators: vec![],
fixed_base_generators: vec![],
fixed_base_circuit_generators: vec![],
};
fn find_group_hash<E: JubjubEngine>(
m: &[u8],
personalization: &[u8; 8],
params: &E::Params
) -> edwards::Point<E, PrimeOrder>
{
let mut tag = m.to_vec();
let i = tag.len();
tag.push(0u8);
loop {
let gh = group_hash(
&tag,
personalization,
params
);
assert!(tag[i] != u8::max_value());
tag[i] += 1;
if let Some(gh) = gh {
break gh;
}
}
}
{
let mut pedersen_hash_generators = vec![];
for m in 0..5 {
use byteorder::{WriteBytesExt, LittleEndian};
let mut segment_number = [0u8; 4];
(&mut segment_number[0..4]).write_u32::<LittleEndian>(m).unwrap();
pedersen_hash_generators.push(
find_group_hash(
&segment_number,
constants::PEDERSEN_HASH_GENERATORS_PERSONALIZATION,
&tmp_params
)
);
}
for (i, p1) in pedersen_hash_generators.iter().enumerate() {
if p1 == &edwards::Point::zero() {
panic!("Neutral element!");
}
for p2 in pedersen_hash_generators.iter().skip(i+1) {
if p1 == p2 {
panic!("Duplicate generator!");
}
}
}
tmp_params.pedersen_hash_generators = pedersen_hash_generators;
}
{
let mut pedersen_hash_exp = vec![];
for g in &tmp_params.pedersen_hash_generators {
let mut g = g.clone();
let window = tmp_params.pedersen_hash_exp_window_size();
let mut tables = vec![];
let mut num_bits = 0;
while num_bits <= fs::Fs::NUM_BITS {
let mut table = Vec::with_capacity(1 << window);
let mut base = edwards::Point::zero();
for _ in 0..(1 << window) {
table.push(base.clone());
base = base.add(&g, &tmp_params);
}
tables.push(table);
num_bits += window;
for _ in 0..window {
g = g.double(&tmp_params);
}
}
pedersen_hash_exp.push(tables);
}
tmp_params.pedersen_hash_exp = pedersen_hash_exp;
}
{
let mut fixed_base_generators = vec![edwards::Point::zero(); FixedGenerators::Max as usize];
fixed_base_generators[FixedGenerators::ProofGenerationKey as usize] =
find_group_hash(&[], constants::PROOF_GENERATION_KEY_BASE_GENERATOR_PERSONALIZATION, &tmp_params);
fixed_base_generators[FixedGenerators::NoteCommitmentRandomness as usize] =
find_group_hash(b"r", constants::PEDERSEN_HASH_GENERATORS_PERSONALIZATION, &tmp_params);
fixed_base_generators[FixedGenerators::NullifierPosition as usize] =
find_group_hash(&[], constants::NULLIFIER_POSITION_IN_TREE_GENERATOR_PERSONALIZATION, &tmp_params);
fixed_base_generators[FixedGenerators::ValueCommitmentValue as usize] =
find_group_hash(b"v", constants::VALUE_COMMITMENT_GENERATOR_PERSONALIZATION, &tmp_params);
fixed_base_generators[FixedGenerators::ValueCommitmentRandomness as usize] =
find_group_hash(b"r", constants::VALUE_COMMITMENT_GENERATOR_PERSONALIZATION, &tmp_params);
fixed_base_generators[FixedGenerators::SpendingKeyGenerator as usize] =
find_group_hash(&[], constants::SPENDING_KEY_GENERATOR_PERSONALIZATION, &tmp_params);
for (i, p1) in fixed_base_generators.iter().enumerate() {
if p1 == &edwards::Point::zero() {
panic!("Neutral element!");
}
for p2 in fixed_base_generators.iter().skip(i+1) {
if p1 == p2 {
panic!("Duplicate generator!");
}
}
}
tmp_params.fixed_base_generators = fixed_base_generators;
}
{
let mut pedersen_circuit_generators = vec![];
for gen in tmp_params.pedersen_hash_generators.iter().cloned() {
let mut gen = montgomery::Point::from_edwards(&gen, &tmp_params);
let mut windows = vec![];
for _ in 0..tmp_params.pedersen_hash_chunks_per_generator() {
let mut coeffs = vec![];
let mut g = gen.clone();
for _ in 0..4 {
coeffs.push(g.into_xy().expect("cannot produce O"));
g = g.add(&gen, &tmp_params);
}
windows.push(coeffs);
for _ in 0..4 {
gen = gen.double(&tmp_params);
}
}
pedersen_circuit_generators.push(windows);
}
tmp_params.pedersen_circuit_generators = pedersen_circuit_generators;
}
{
let mut fixed_base_circuit_generators = vec![];
for mut gen in tmp_params.fixed_base_generators.iter().cloned() {
let mut windows = vec![];
for _ in 0..tmp_params.fixed_base_chunks_per_generator() {
let mut coeffs = vec![(Fr::zero(), Fr::one())];
let mut g = gen.clone();
for _ in 0..7 {
coeffs.push(g.into_xy());
g = g.add(&gen, &tmp_params);
}
windows.push(coeffs);
gen = g;
}
fixed_base_circuit_generators.push(windows);
}
tmp_params.fixed_base_circuit_generators = fixed_base_circuit_generators;
}
tmp_params
}
}
#[test]
fn test_jubjub_bls12() {
let params = JubjubBls12::new();
tests::test_suite::<Bls12>(¶ms);
let test_repr = hex!("9d12b88b08dcbef8a11ee0712d94cb236ee2f4ca17317075bfafc82ce3139d31");
let p = edwards::Point::<Bls12, _>::read(&test_repr[..], ¶ms).unwrap();
let q = edwards::Point::<Bls12, _>::get_for_y(
Fr::from_str("22440861827555040311190986994816762244378363690614952020532787748720529117853").unwrap(),
false,
¶ms
).unwrap();
assert!(p == q);
let test_repr = hex!("9d12b88b08dcbef8a11ee0712d94cb236ee2f4ca17317075bfafc82ce3139db1");
let p = edwards::Point::<Bls12, _>::read(&test_repr[..], ¶ms).unwrap();
let q = edwards::Point::<Bls12, _>::get_for_y(
Fr::from_str("22440861827555040311190986994816762244378363690614952020532787748720529117853").unwrap(),
true,
¶ms
).unwrap();
assert!(p == q);
}
#[test]
fn test_jubjub_bls12_num_generators() {
let params = JubjubBls12::new();
assert_eq!(params.pedersen_circuit_generators.len(), 5);
}