This commit is contained in:
wborgeaud 2021-06-10 16:48:05 +02:00
parent f8dd35b748
commit 81ce0eb710
3 changed files with 30 additions and 21 deletions

View File

@ -11,8 +11,11 @@ use crate::witness::PartialWitness;
impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
/// Split the given element into a list of targets, where each one represents a
/// base-B limb of the element, with little-endian ordering.
pub(crate) fn split_le_base<const B: usize>(&mut self, x: Target) -> Vec<Target> {
let num_limbs = num_limbs_to_check(64, B);
pub(crate) fn split_le_base<const B: usize>(
&mut self,
x: Target,
num_limbs: usize,
) -> Vec<Target> {
let gate = self.add_gate(BaseSumGate::<B>::new(num_limbs), vec![]);
let sum = Target::wire(gate, BaseSumGate::<B>::WIRE_SUM);
self.route(x, sum);
@ -25,8 +28,9 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
/// Asserts that `x`'s bit representation has at least `trailing_zeros` trailing zeros.
pub(crate) fn assert_trailing_zeros<const B: usize>(&mut self, x: Target, trailing_zeros: u32) {
let limbs = self.split_le_base::<B>(x);
let num_limbs = num_limbs(64, B);
let num_limbs_to_check = num_limbs_to_check(trailing_zeros, B);
let limbs = self.split_le_base::<B>(x, num_limbs);
assert!(
num_limbs_to_check < self.config.num_routed_wires,
"Not enough routed wires."
@ -47,6 +51,7 @@ impl<F: Extendable<D>, const D: usize> CircuitBuilder<F, D> {
/// Returns `k` such that any number with `k` trailing zeros in base `base` has at least
/// `n` trailing zeros in base 2.
#[allow(unconditional_panic)]
const fn num_limbs_to_check(n: u32, base: usize) -> usize {
if base % 2 == 1 {
// Dirty trick to panic if the base is odd.
@ -57,6 +62,10 @@ const fn num_limbs_to_check(n: u32, base: usize) -> usize {
}
}
fn num_limbs(n_log: u32, base: usize) -> usize {
((n_log as f64) * 2.0_f64.log(base as f64)).ceil() as usize
}
#[cfg(test)]
mod tests {
use super::*;
@ -68,7 +77,7 @@ mod tests {
use anyhow::Result;
#[test]
fn test_split_base() -> Result<()> {
fn test_split_base() {
type F = CrandallField;
let config = CircuitConfig {
num_wires: 134,
@ -85,24 +94,23 @@ mod tests {
},
};
let mut builder = CircuitBuilder::<F, 4>::new(config);
let x = F::from_canonical_usize(0b10100000); // 160 =1120 in base 5.
let x = F::from_canonical_usize(0b110100000); // 416 = 1532 in base 6.
let xt = builder.constant(x);
let limbs = builder.split_le_base::<5>(xt);
assert_eq!(limbs.len(), 28); // 5^27 < 2^64 <= 5^28
let zero = builder.zero();
let limbs = builder.split_le_base::<6>(xt, 24);
let one = builder.one();
let two = builder.two();
builder.assert_equal(limbs[0], zero);
builder.assert_equal(limbs[1], two);
builder.assert_equal(limbs[2], one);
let three = builder.constant(F::from_canonical_u64(3));
let five = builder.constant(F::from_canonical_u64(5));
builder.assert_equal(limbs[0], two);
builder.assert_equal(limbs[1], three);
builder.assert_equal(limbs[2], five);
builder.assert_equal(limbs[3], one);
builder.assert_trailing_zeros::<3>(xt, 4);
builder.assert_trailing_zeros::<3>(xt, 5);
builder.assert_trailing_zeros::<13>(xt, 5);
builder.assert_trailing_zeros::<6>(xt, 4);
builder.assert_trailing_zeros::<4>(xt, 5);
builder.assert_trailing_zeros::<12>(xt, 5);
let data = builder.build();
let proof = data.prove(PartialWitness::new());
verify(proof, &data.verifier_only, &data.common)
}
}

View File

@ -146,7 +146,7 @@ impl<F: Field> SimpleGenerator<F> for WireSplitGenerator {
sum,
F::from_canonical_u64(integer_value & ((1 << self.num_limbs) - 1)),
);
integer_value >> self.num_limbs;
integer_value >>= self.num_limbs;
}
debug_assert_eq!(

View File

@ -134,6 +134,12 @@ impl<F: Field, const B: usize> SimpleGenerator<F> for BaseSplitGenerator<B> {
let sum_value = witness
.get_target(Target::wire(self.gate_index, BaseSumGate::<B>::WIRE_SUM))
.to_canonical_u64() as usize;
debug_assert_eq!(
(0..self.num_limbs).fold(sum_value, |acc, _| acc / B),
0,
"Integer too large to fit in given number of limbs"
);
let limbs = (BaseSumGate::<B>::WIRE_LIMBS_START
..BaseSumGate::<B>::WIRE_LIMBS_START + self.num_limbs)
.map(|i| Target::wire(self.gate_index, i));
@ -156,11 +162,6 @@ impl<F: Field, const B: usize> SimpleGenerator<F> for BaseSplitGenerator<B> {
result.set_target(b, F::from_canonical_usize(b_value));
}
debug_assert_eq!(
sum_value, 0,
"Integer too large to fit in given number of limbs"
);
result
}
}