halo2/halo2_frontend/src/plonk/permutation.rs

119 lines
3.4 KiB
Rust

//! Implementation of permutation argument.
use crate::plonk::{Column, Error};
use halo2_middleware::circuit::{Any, Cell};
use halo2_middleware::permutation::ArgumentMid;
/// A permutation argument.
#[derive(Default, Debug, Clone)]
pub struct Argument {
/// A sequence of columns involved in the argument.
pub(crate) columns: Vec<Column<Any>>,
}
impl From<ArgumentMid> for Argument {
fn from(arg: ArgumentMid) -> Self {
Self {
columns: arg.columns.into_iter().map(|c| c.into()).collect(),
}
}
}
impl Argument {
/// Returns the minimum circuit degree required by the permutation argument.
/// The argument may use larger degree gates depending on the actual
/// circuit's degree and how many columns are involved in the permutation.
pub(crate) fn required_degree(&self) -> usize {
// degree 2:
// l_0(X) * (1 - z(X)) = 0
//
// We will fit as many polynomials p_i(X) as possible
// into the required degree of the circuit, so the
// following will not affect the required degree of
// this middleware.
//
// (1 - (l_last(X) + l_blind(X))) * (
// z(\omega X) \prod (p(X) + \beta s_i(X) + \gamma)
// - z(X) \prod (p(X) + \delta^i \beta X + \gamma)
// )
//
// On the first sets of columns, except the first
// set, we will do
//
// l_0(X) * (z(X) - z'(\omega^(last) X)) = 0
//
// where z'(X) is the permutation for the previous set
// of columns.
//
// On the final set of columns, we will do
//
// degree 3:
// l_last(X) * (z'(X)^2 - z'(X)) = 0
//
// which will allow the last value to be zero to
// ensure the argument is perfectly complete.
// There are constraints of degree 3 regardless of the
// number of columns involved.
3
}
pub(crate) fn add_column(&mut self, column: Column<Any>) {
if !self.columns.contains(&column) {
self.columns.push(column);
}
}
/// Returns columns that participate on the permutation argument.
pub fn get_columns(&self) -> Vec<Column<Any>> {
self.columns.clone()
}
}
#[derive(Clone, Debug)]
pub struct Assembly {
pub(crate) n: usize,
pub(crate) columns: Vec<Column<Any>>,
pub(crate) copies: Vec<(Cell, Cell)>,
}
impl Assembly {
pub fn new(n: usize, p: &Argument) -> Self {
Self {
n,
columns: p.columns.clone(),
copies: Vec::new(),
}
}
pub fn copy(
&mut self,
left_column: Column<Any>,
left_row: usize,
right_column: Column<Any>,
right_row: usize,
) -> Result<(), Error> {
if !self.columns.contains(&left_column) {
return Err(Error::ColumnNotInPermutation(left_column));
}
if !self.columns.contains(&right_column) {
return Err(Error::ColumnNotInPermutation(right_column));
}
// Check bounds
if left_row >= self.n || right_row >= self.n {
return Err(Error::BoundsFailure);
}
self.copies.push((
Cell {
column: left_column.into(),
row: left_row,
},
Cell {
column: right_column.into(),
row: right_row,
},
));
Ok(())
}
}