Initial commit to extract crypto-primitives to new crate

This commit is contained in:
Pratyush Mishra
2019-09-24 20:21:49 -07:00
parent 5a78e24e15
commit a244e719d1
33 changed files with 4746 additions and 1 deletions

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use algebra::PrimeField;
use r1cs_core::{ConstraintSystem, SynthesisError};
use crate::prf::PRFGadget;
use r1cs_std::prelude::*;
use std::borrow::Borrow;
// 2.1. Parameters
// The following table summarizes various parameters and their ranges:
// | BLAKE2b | BLAKE2s |
// --------------+------------------+------------------+
// Bits in word | w = 64 | w = 32 |
// Rounds in F | r = 12 | r = 10 |
// Block bytes | bb = 128 | bb = 64 |
// Hash bytes | 1 <= nn <= 64 | 1 <= nn <= 32 |
// Key bytes | 0 <= kk <= 64 | 0 <= kk <= 32 |
// Input bytes | 0 <= ll < 2**128 | 0 <= ll < 2**64 |
// --------------+------------------+------------------+
// G Rotation | (R1, R2, R3, R4) | (R1, R2, R3, R4) |
// constants = | (32, 24, 16, 63) | (16, 12, 8, 7) |
// --------------+------------------+------------------+
//
const R1: usize = 16;
const R2: usize = 12;
const R3: usize = 8;
const R4: usize = 7;
// Round | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
// ----------+-------------------------------------------------+
// SIGMA[0] | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
// SIGMA[1] | 14 10 4 8 9 15 13 6 1 12 0 2 11 7 5 3 |
// SIGMA[2] | 11 8 12 0 5 2 15 13 10 14 3 6 7 1 9 4 |
// SIGMA[3] | 7 9 3 1 13 12 11 14 2 6 5 10 4 0 15 8 |
// SIGMA[4] | 9 0 5 7 2 4 10 15 14 1 11 12 6 8 3 13 |
// SIGMA[5] | 2 12 6 10 0 11 8 3 4 13 7 5 15 14 1 9 |
// SIGMA[6] | 12 5 1 15 14 13 4 10 0 7 6 3 9 2 8 11 |
// SIGMA[7] | 13 11 7 14 12 1 3 9 5 0 15 4 8 6 2 10 |
// SIGMA[8] | 6 15 14 9 11 3 0 8 12 2 13 7 1 4 10 5 |
// SIGMA[9] | 10 2 8 4 7 6 1 5 15 11 9 14 3 12 13 0 |
// ----------+-------------------------------------------------+
//
const SIGMA: [[usize; 16]; 10] = [
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15],
[14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3],
[11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4],
[7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8],
[9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13],
[2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9],
[12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11],
[13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10],
[6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5],
[10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0],
];
// 3.1. Mixing Function G
// The G primitive function mixes two input words, "x" and "y", into
// four words indexed by "a", "b", "c", and "d" in the working vector
// v[0..15]. The full modified vector is returned. The rotation
// constants (R1, R2, R3, R4) are given in Section 2.1.
// FUNCTION G( v[0..15], a, b, c, d, x, y )
// |
// | v[a] := (v[a] + v[b] + x) mod 2**w
// | v[d] := (v[d] ^ v[a]) >>> R1
// | v[c] := (v[c] + v[d]) mod 2**w
// | v[b] := (v[b] ^ v[c]) >>> R2
// | v[a] := (v[a] + v[b] + y) mod 2**w
// | v[d] := (v[d] ^ v[a]) >>> R3
// | v[c] := (v[c] + v[d]) mod 2**w
// | v[b] := (v[b] ^ v[c]) >>> R4
// |
// | RETURN v[0..15]
// |
// END FUNCTION.
//
fn mixing_g<ConstraintF: PrimeField, CS: ConstraintSystem<ConstraintF>>(
mut cs: CS,
v: &mut [UInt32],
a: usize,
b: usize,
c: usize,
d: usize,
x: &UInt32,
y: &UInt32,
) -> Result<(), SynthesisError> {
v[a] = UInt32::addmany(
cs.ns(|| "mixing step 1"),
&[v[a].clone(), v[b].clone(), x.clone()],
)?;
v[d] = v[d].xor(cs.ns(|| "mixing step 2"), &v[a])?.rotr(R1);
v[c] = UInt32::addmany(cs.ns(|| "mixing step 3"), &[v[c].clone(), v[d].clone()])?;
v[b] = v[b].xor(cs.ns(|| "mixing step 4"), &v[c])?.rotr(R2);
v[a] = UInt32::addmany(
cs.ns(|| "mixing step 5"),
&[v[a].clone(), v[b].clone(), y.clone()],
)?;
v[d] = v[d].xor(cs.ns(|| "mixing step 6"), &v[a])?.rotr(R3);
v[c] = UInt32::addmany(cs.ns(|| "mixing step 7"), &[v[c].clone(), v[d].clone()])?;
v[b] = v[b].xor(cs.ns(|| "mixing step 8"), &v[c])?.rotr(R4);
Ok(())
}
// 3.2. Compression Function F
// Compression function F takes as an argument the state vector "h",
// message block vector "m" (last block is padded with zeros to full
// block size, if required), 2w-bit_gadget offset counter "t", and final block
// indicator flag "f". Local vector v[0..15] is used in processing. F
// returns a new state vector. The number of rounds, "r", is 12 for
// BLAKE2b and 10 for BLAKE2s. Rounds are numbered from 0 to r - 1.
// FUNCTION F( h[0..7], m[0..15], t, f )
// |
// | // Initialize local work vector v[0..15]
// | v[0..7] := h[0..7] // First half from state.
// | v[8..15] := IV[0..7] // Second half from IV.
// |
// | v[12] := v[12] ^ (t mod 2**w) // Low word of the offset.
// | v[13] := v[13] ^ (t >> w) // High word.
// |
// | IF f = TRUE THEN // last block flag?
// | | v[14] := v[14] ^ 0xFF..FF // Invert all bits.
// | END IF.
// |
// | // Cryptographic mixing
// | FOR i = 0 TO r - 1 DO // Ten or twelve rounds.
// | |
// | | // Message word selection permutation for this round.
// | | s[0..15] := SIGMA[i mod 10][0..15]
// | |
// | | v := G( v, 0, 4, 8, 12, m[s[ 0]], m[s[ 1]] )
// | | v := G( v, 1, 5, 9, 13, m[s[ 2]], m[s[ 3]] )
// | | v := G( v, 2, 6, 10, 14, m[s[ 4]], m[s[ 5]] )
// | | v := G( v, 3, 7, 11, 15, m[s[ 6]], m[s[ 7]] )
// | |
// | | v := G( v, 0, 5, 10, 15, m[s[ 8]], m[s[ 9]] )
// | | v := G( v, 1, 6, 11, 12, m[s[10]], m[s[11]] )
// | | v := G( v, 2, 7, 8, 13, m[s[12]], m[s[13]] )
// | | v := G( v, 3, 4, 9, 14, m[s[14]], m[s[15]] )
// | |
// | END FOR
// |
// | FOR i = 0 TO 7 DO // XOR the two halves.
// | | h[i] := h[i] ^ v[i] ^ v[i + 8]
// | END FOR.
// |
// | RETURN h[0..7] // New state.
// |
// END FUNCTION.
//
fn blake2s_compression<ConstraintF: PrimeField, CS: ConstraintSystem<ConstraintF>>(
mut cs: CS,
h: &mut [UInt32],
m: &[UInt32],
t: u64,
f: bool,
) -> Result<(), SynthesisError> {
assert_eq!(h.len(), 8);
assert_eq!(m.len(), 16);
// static const uint32_t blake2s_iv[8] =
// {
// 0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A,
// 0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19
// };
//
let mut v = Vec::with_capacity(16);
v.extend_from_slice(h);
v.push(UInt32::constant(0x6A09E667));
v.push(UInt32::constant(0xBB67AE85));
v.push(UInt32::constant(0x3C6EF372));
v.push(UInt32::constant(0xA54FF53A));
v.push(UInt32::constant(0x510E527F));
v.push(UInt32::constant(0x9B05688C));
v.push(UInt32::constant(0x1F83D9AB));
v.push(UInt32::constant(0x5BE0CD19));
assert_eq!(v.len(), 16);
v[12] = v[12].xor(cs.ns(|| "first xor"), &UInt32::constant(t as u32))?;
v[13] = v[13].xor(cs.ns(|| "second xor"), &UInt32::constant((t >> 32) as u32))?;
if f {
v[14] = v[14].xor(cs.ns(|| "third xor"), &UInt32::constant(u32::max_value()))?;
}
for i in 0..10 {
let mut cs = cs.ns(|| format!("round {}", i));
let s = SIGMA[i % 10];
mixing_g(
cs.ns(|| "mixing invocation 1"),
&mut v,
0,
4,
8,
12,
&m[s[0]],
&m[s[1]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 2"),
&mut v,
1,
5,
9,
13,
&m[s[2]],
&m[s[3]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 3"),
&mut v,
2,
6,
10,
14,
&m[s[4]],
&m[s[5]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 4"),
&mut v,
3,
7,
11,
15,
&m[s[6]],
&m[s[7]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 5"),
&mut v,
0,
5,
10,
15,
&m[s[8]],
&m[s[9]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 6"),
&mut v,
1,
6,
11,
12,
&m[s[10]],
&m[s[11]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 7"),
&mut v,
2,
7,
8,
13,
&m[s[12]],
&m[s[13]],
)?;
mixing_g(
cs.ns(|| "mixing invocation 8"),
&mut v,
3,
4,
9,
14,
&m[s[14]],
&m[s[15]],
)?;
}
for i in 0..8 {
let mut cs = cs.ns(|| format!("h[{i}] ^ v[{i}] ^ v[{i} + 8]", i = i));
h[i] = h[i].xor(cs.ns(|| "first xor"), &v[i])?;
h[i] = h[i].xor(cs.ns(|| "second xor"), &v[i + 8])?;
}
Ok(())
}
// FUNCTION BLAKE2( d[0..dd-1], ll, kk, nn )
// |
// | h[0..7] := IV[0..7] // Initialization Vector.
// |
// | // Parameter block p[0]
// | h[0] := h[0] ^ 0x01010000 ^ (kk << 8) ^ nn
// |
// | // Process padded key and data blocks
// | IF dd > 1 THEN
// | | FOR i = 0 TO dd - 2 DO
// | | | h := F( h, d[i], (i + 1) * bb, FALSE )
// | | END FOR.
// | END IF.
// |
// | // Final block.
// | IF kk = 0 THEN
// | | h := F( h, d[dd - 1], ll, TRUE )
// | ELSE
// | | h := F( h, d[dd - 1], ll + bb, TRUE )
// | END IF.
// |
// | RETURN first "nn" bytes from little-endian word array h[].
// |
// END FUNCTION.
//
pub fn blake2s_gadget<ConstraintF: PrimeField, CS: ConstraintSystem<ConstraintF>>(
mut cs: CS,
input: &[Boolean],
) -> Result<Vec<UInt32>, SynthesisError> {
assert!(input.len() % 8 == 0);
let mut h = Vec::with_capacity(8);
h.push(UInt32::constant(0x6A09E667 ^ 0x01010000 ^ 32));
h.push(UInt32::constant(0xBB67AE85));
h.push(UInt32::constant(0x3C6EF372));
h.push(UInt32::constant(0xA54FF53A));
h.push(UInt32::constant(0x510E527F));
h.push(UInt32::constant(0x9B05688C));
h.push(UInt32::constant(0x1F83D9AB));
h.push(UInt32::constant(0x5BE0CD19));
let mut blocks: Vec<Vec<UInt32>> = vec![];
for block in input.chunks(512) {
let mut this_block = Vec::with_capacity(16);
for word in block.chunks(32) {
let mut tmp = word.to_vec();
while tmp.len() < 32 {
tmp.push(Boolean::constant(false));
}
this_block.push(UInt32::from_bits_le(&tmp));
}
while this_block.len() < 16 {
this_block.push(UInt32::constant(0));
}
blocks.push(this_block);
}
if blocks.is_empty() {
blocks.push((0..16).map(|_| UInt32::constant(0)).collect());
}
for (i, block) in blocks[0..blocks.len() - 1].iter().enumerate() {
let cs = cs.ns(|| format!("block {}", i));
blake2s_compression(cs, &mut h, block, ((i as u64) + 1) * 64, false)?;
}
{
let cs = cs.ns(|| "final block");
blake2s_compression(
cs,
&mut h,
&blocks[blocks.len() - 1],
(input.len() / 8) as u64,
true,
)?;
}
Ok(h)
}
use crate::prf::Blake2s;
pub struct Blake2sGadget;
#[derive(Clone, Debug)]
pub struct Blake2sOutputGadget(pub Vec<UInt8>);
impl PartialEq for Blake2sOutputGadget {
fn eq(&self, other: &Self) -> bool {
self.0 == other.0
}
}
impl Eq for Blake2sOutputGadget {}
impl<ConstraintF: PrimeField> EqGadget<ConstraintF> for Blake2sOutputGadget {}
impl<ConstraintF: PrimeField> ConditionalEqGadget<ConstraintF> for Blake2sOutputGadget {
#[inline]
fn conditional_enforce_equal<CS: ConstraintSystem<ConstraintF>>(
&self,
mut cs: CS,
other: &Self,
condition: &Boolean,
) -> Result<(), SynthesisError> {
for (i, (a, b)) in self.0.iter().zip(other.0.iter()).enumerate() {
a.conditional_enforce_equal(
&mut cs.ns(|| format!("blake2s_equal_{}", i)),
b,
condition,
)?;
}
Ok(())
}
fn cost() -> usize {
32 * <UInt8 as ConditionalEqGadget<ConstraintF>>::cost()
}
}
impl<ConstraintF: PrimeField> ToBytesGadget<ConstraintF> for Blake2sOutputGadget {
#[inline]
fn to_bytes<CS: ConstraintSystem<ConstraintF>>(&self, _cs: CS) -> Result<Vec<UInt8>, SynthesisError> {
Ok(self.0.clone())
}
#[inline]
fn to_bytes_strict<CS: ConstraintSystem<ConstraintF>>(
&self,
cs: CS,
) -> Result<Vec<UInt8>, SynthesisError> {
self.to_bytes(cs)
}
}
impl<ConstraintF: PrimeField> AllocGadget<[u8; 32], ConstraintF> for Blake2sOutputGadget {
#[inline]
fn alloc<F, T, CS: ConstraintSystem<ConstraintF>>(cs: CS, value_gen: F) -> Result<Self, SynthesisError>
where
F: FnOnce() -> Result<T, SynthesisError>,
T: Borrow<[u8; 32]>,
{
let zeros = [0u8; 32];
let value = match value_gen() {
Ok(val) => *(val.borrow()),
Err(_) => zeros,
};
let bytes = <UInt8>::alloc_vec(cs, &value)?;
Ok(Blake2sOutputGadget(bytes))
}
#[inline]
fn alloc_input<F, T, CS: ConstraintSystem<ConstraintF>>(
cs: CS,
value_gen: F,
) -> Result<Self, SynthesisError>
where
F: FnOnce() -> Result<T, SynthesisError>,
T: Borrow<[u8; 32]>,
{
let zeros = [0u8; 32];
let value = match value_gen() {
Ok(val) => *(val.borrow()),
Err(_) => zeros,
};
let bytes = <UInt8>::alloc_input_vec(cs, &value)?;
Ok(Blake2sOutputGadget(bytes))
}
}
impl<ConstraintF: PrimeField> PRFGadget<Blake2s, ConstraintF> for Blake2sGadget {
type OutputGadget = Blake2sOutputGadget;
fn new_seed<CS: ConstraintSystem<ConstraintF>>(mut cs: CS, seed: &[u8; 32]) -> Vec<UInt8> {
UInt8::alloc_vec(&mut cs.ns(|| "alloc_seed"), seed).unwrap()
}
fn check_evaluation_gadget<CS: ConstraintSystem<ConstraintF>>(
mut cs: CS,
seed: &[UInt8],
input: &[UInt8],
) -> Result<Self::OutputGadget, SynthesisError> {
assert_eq!(seed.len(), 32);
// assert_eq!(input.len(), 32);
let mut gadget_input = Vec::with_capacity(512);
for byte in seed.into_iter().chain(input) {
gadget_input.extend_from_slice(&byte.into_bits_le());
}
let mut result = Vec::new();
for (i, int) in blake2s_gadget(cs.ns(|| "Blake2s Eval"), &gadget_input)?
.into_iter()
.enumerate()
{
let chunk = int.to_bytes(&mut cs.ns(|| format!("Result ToBytes {}", i)))?;
result.extend_from_slice(&chunk);
}
Ok(Blake2sOutputGadget(result))
}
}
#[cfg(test)]
mod test {
use algebra::fields::bls12_377::fr::Fr;
use digest::{FixedOutput, Input};
use rand::{Rng, SeedableRng};
use rand_xorshift::XorShiftRng;
use crate::prf::blake2s::{Blake2s as B2SPRF, constraints::blake2s_gadget};
use blake2::Blake2s;
use r1cs_core::ConstraintSystem;
use super::Blake2sGadget;
use r1cs_std::{prelude::*, boolean::AllocatedBit, test_constraint_system::TestConstraintSystem};
#[test]
fn test_blake2s_constraints() {
let mut cs = TestConstraintSystem::<Fr>::new();
let input_bits: Vec<_> = (0..512)
.map(|i| {
AllocatedBit::alloc(cs.ns(|| format!("input bit_gadget {}", i)), || Ok(true))
.unwrap()
.into()
})
.collect();
blake2s_gadget(&mut cs, &input_bits).unwrap();
assert!(cs.is_satisfied());
assert_eq!(cs.num_constraints(), 21792);
}
#[test]
fn test_blake2s_prf() {
use crate::prf::{PRF, PRFGadget};
use rand::Rng;
let mut rng = XorShiftRng::seed_from_u64(1231275789u64);
let mut cs = TestConstraintSystem::<Fr>::new();
let mut seed = [0u8; 32];
rng.fill(&mut seed);
let mut input = [0u8; 32];
rng.fill(&mut input);
let seed_gadget = Blake2sGadget::new_seed(&mut cs.ns(|| "declare_seed"), &seed);
let input_gadget = UInt8::alloc_vec(&mut cs.ns(|| "declare_input"), &input).unwrap();
let out = B2SPRF::evaluate(&seed, &input).unwrap();
let actual_out_gadget = <Blake2sGadget as PRFGadget<_, Fr>>::OutputGadget::alloc(
&mut cs.ns(|| "declare_output"),
|| Ok(out),
)
.unwrap();
let output_gadget = Blake2sGadget::check_evaluation_gadget(
&mut cs.ns(|| "eval_blake2s"),
&seed_gadget,
&input_gadget,
)
.unwrap();
output_gadget
.enforce_equal(&mut cs, &actual_out_gadget)
.unwrap();
if !cs.is_satisfied() {
println!(
"which is unsatisfied: {:?}",
cs.which_is_unsatisfied().unwrap()
);
}
assert!(cs.is_satisfied());
}
#[test]
fn test_blake2s_precomp_constraints() {
// Test that 512 fixed leading bits (constants)
// doesn't result in more constraints.
let mut cs = TestConstraintSystem::<Fr>::new();
let mut rng = XorShiftRng::seed_from_u64(1231275789u64);
let input_bits: Vec<_> = (0..512)
.map(|_| Boolean::constant(rng.gen()))
.chain((0..512).map(|i| {
AllocatedBit::alloc(cs.ns(|| format!("input bit_gadget {}", i)), || Ok(true))
.unwrap()
.into()
}))
.collect();
blake2s_gadget(&mut cs, &input_bits).unwrap();
assert!(cs.is_satisfied());
assert_eq!(cs.num_constraints(), 21792);
}
#[test]
fn test_blake2s_constant_constraints() {
let mut cs = TestConstraintSystem::<Fr>::new();
let mut rng = XorShiftRng::seed_from_u64(1231275789u64);
let input_bits: Vec<_> = (0..512).map(|_| Boolean::constant(rng.gen())).collect();
blake2s_gadget(&mut cs, &input_bits).unwrap();
assert_eq!(cs.num_constraints(), 0);
}
#[test]
fn test_blake2s() {
let mut rng = XorShiftRng::seed_from_u64(1231275789u64);
for input_len in (0..32).chain((32..256).filter(|a| a % 8 == 0)) {
let mut h = Blake2s::new_keyed(&[], 32);
let data: Vec<u8> = (0..input_len).map(|_| rng.gen()).collect();
h.process(&data);
let hash_result = h.fixed_result();
let mut cs = TestConstraintSystem::<Fr>::new();
let mut input_bits = vec![];
for (byte_i, input_byte) in data.into_iter().enumerate() {
for bit_i in 0..8 {
let cs = cs.ns(|| format!("input bit_gadget {} {}", byte_i, bit_i));
input_bits.push(
AllocatedBit::alloc(cs, || Ok((input_byte >> bit_i) & 1u8 == 1u8))
.unwrap()
.into(),
);
}
}
let r = blake2s_gadget(&mut cs, &input_bits).unwrap();
assert!(cs.is_satisfied());
let mut s = hash_result
.as_ref()
.iter()
.flat_map(|&byte| (0..8).map(move |i| (byte >> i) & 1u8 == 1u8));
for chunk in r {
for b in chunk.to_bits_le() {
match b {
Boolean::Is(b) => {
assert!(s.next().unwrap() == b.get_value().unwrap());
},
Boolean::Not(b) => {
assert!(s.next().unwrap() != b.get_value().unwrap());
},
Boolean::Constant(b) => {
assert!(input_len == 0);
assert!(s.next().unwrap() == b);
},
}
}
}
}
}
}

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@@ -0,0 +1,28 @@
use blake2::Blake2s as b2s;
use digest::Digest;
use super::PRF;
use crate::CryptoError;
#[cfg(feature = "r1cs")]
pub mod constraints;
#[derive(Clone)]
pub struct Blake2s;
impl PRF for Blake2s {
type Input = [u8; 32];
type Output = [u8; 32];
type Seed = [u8; 32];
fn evaluate(seed: &Self::Seed, input: &Self::Input) -> Result<Self::Output, CryptoError> {
let eval_time = start_timer!(|| "Blake2s::Eval");
let mut h = b2s::new();
h.input(seed.as_ref());
h.input(input.as_ref());
let mut result = [0u8; 32];
result.copy_from_slice(&h.result());
end_timer!(eval_time);
Ok(result)
}
}

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@@ -0,0 +1,19 @@
use algebra::Field;
use std::fmt::Debug;
use crate::prf::PRF;
use r1cs_core::{ConstraintSystem, SynthesisError};
use r1cs_std::prelude::*;
pub trait PRFGadget<P: PRF, ConstraintF: Field> {
type OutputGadget: EqGadget<ConstraintF> + ToBytesGadget<ConstraintF> + AllocGadget<P::Output, ConstraintF> + Clone + Debug;
fn new_seed<CS: ConstraintSystem<ConstraintF>>(cs: CS, output: &P::Seed) -> Vec<UInt8>;
fn check_evaluation_gadget<CS: ConstraintSystem<ConstraintF>>(
cs: CS,
seed: &[UInt8],
input: &[UInt8],
) -> Result<Self::OutputGadget, SynthesisError>;
}

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@@ -0,0 +1,20 @@
use algebra::bytes::{FromBytes, ToBytes};
use std::{fmt::Debug, hash::Hash};
use crate::CryptoError;
#[cfg(feature = "r1cs")]
pub mod constraints;
#[cfg(feature = "r1cs")]
pub use constraints::*;
pub mod blake2s;
pub use self::blake2s::*;
pub trait PRF {
type Input: FromBytes + Default;
type Output: ToBytes + Eq + Clone + Default + Hash;
type Seed: FromBytes + ToBytes + Clone + Default + Debug;
fn evaluate(seed: &Self::Seed, input: &Self::Input) -> Result<Self::Output, CryptoError>;
}