bellman/src/gadgets/multipack.rs

112 lines
2.9 KiB
Rust

//! Helpers for packing vectors of bits into scalar field elements.
use super::boolean::Boolean;
use super::num::Num;
use super::Assignment;
use crate::{ConstraintSystem, SynthesisError};
use ff::PrimeField;
/// Takes a sequence of booleans and exposes them as compact
/// public inputs
pub fn pack_into_inputs<Scalar, CS>(mut cs: CS, bits: &[Boolean]) -> Result<(), SynthesisError>
where
Scalar: PrimeField,
CS: ConstraintSystem<Scalar>,
{
for (i, bits) in bits.chunks(Scalar::CAPACITY as usize).enumerate() {
let mut num = Num::<Scalar>::zero();
let mut coeff = Scalar::one();
for bit in bits {
num = num.add_bool_with_coeff(CS::one(), bit, coeff);
coeff = coeff.double();
}
let input = cs.alloc_input(|| format!("input {}", i), || Ok(*num.get_value().get()?))?;
// num * 1 = input
cs.enforce(
|| format!("packing constraint {}", i),
|_| num.lc(Scalar::one()),
|lc| lc + CS::one(),
|lc| lc + input,
);
}
Ok(())
}
pub fn bytes_to_bits(bytes: &[u8]) -> Vec<bool> {
bytes
.iter()
.flat_map(|&v| (0..8).rev().map(move |i| (v >> i) & 1 == 1))
.collect()
}
pub fn bytes_to_bits_le(bytes: &[u8]) -> Vec<bool> {
bytes
.iter()
.flat_map(|&v| (0..8).map(move |i| (v >> i) & 1 == 1))
.collect()
}
pub fn compute_multipacking<Scalar: PrimeField>(bits: &[bool]) -> Vec<Scalar> {
let mut result = vec![];
for bits in bits.chunks(Scalar::CAPACITY as usize) {
let mut cur = Scalar::zero();
let mut coeff = Scalar::one();
for bit in bits {
if *bit {
cur.add_assign(&coeff);
}
coeff = coeff.double();
}
result.push(cur);
}
result
}
#[test]
fn test_multipacking() {
use crate::ConstraintSystem;
use bls12_381::Scalar;
use rand_core::{RngCore, SeedableRng};
use rand_xorshift::XorShiftRng;
use super::boolean::{AllocatedBit, Boolean};
use crate::gadgets::test::*;
let mut rng = XorShiftRng::from_seed([
0x59, 0x62, 0xbe, 0x3d, 0x76, 0x3d, 0x31, 0x8d, 0x17, 0xdb, 0x37, 0x32, 0x54, 0x06, 0xbc,
0xe5,
]);
for num_bits in 0..1500 {
let mut cs = TestConstraintSystem::<Scalar>::new();
let bits: Vec<bool> = (0..num_bits).map(|_| rng.next_u32() % 2 != 0).collect();
let circuit_bits = bits
.iter()
.enumerate()
.map(|(i, &b)| {
Boolean::from(
AllocatedBit::alloc(cs.namespace(|| format!("bit {}", i)), Some(b)).unwrap(),
)
})
.collect::<Vec<_>>();
let expected_inputs = compute_multipacking(&bits);
pack_into_inputs(cs.namespace(|| "pack"), &circuit_bits).unwrap();
assert!(cs.is_satisfied());
assert!(cs.verify(&expected_inputs));
}
}