plonky2/evm/src/cross_table_lookup.rs
2022-05-26 20:44:59 +02:00

425 lines
14 KiB
Rust

use anyhow::{ensure, Result};
use plonky2::field::extension_field::{Extendable, FieldExtension};
use plonky2::field::field_types::Field;
use plonky2::field::packed_field::PackedField;
use plonky2::field::polynomial::PolynomialValues;
use plonky2::hash::hash_types::RichField;
use plonky2::iop::challenger::Challenger;
use plonky2::iop::ext_target::ExtensionTarget;
use plonky2::iop::target::Target;
use plonky2::plonk::circuit_builder::CircuitBuilder;
use plonky2::plonk::config::GenericConfig;
use crate::all_stark::Table;
use crate::config::StarkConfig;
use crate::constraint_consumer::{ConstraintConsumer, RecursiveConstraintConsumer};
use crate::permutation::{
get_grand_product_challenge_set, GrandProductChallenge, GrandProductChallengeSet,
};
use crate::proof::{StarkProofWithPublicInputs, StarkProofWithPublicInputsTarget};
use crate::stark::Stark;
use crate::vars::{StarkEvaluationTargets, StarkEvaluationVars};
#[derive(Clone)]
pub struct CrossTableLookup<F: Field> {
pub looking_table: Table,
pub looking_columns: Vec<usize>,
pub looked_table: Table,
pub looked_columns: Vec<usize>,
pub default: Vec<F>,
}
impl<F: Field> CrossTableLookup<F> {
pub fn new(
looking_table: Table,
looking_columns: Vec<usize>,
looked_table: Table,
looked_columns: Vec<usize>,
default: Vec<F>,
) -> Self {
assert_eq!(looking_columns.len(), looked_columns.len());
Self {
looking_table,
looking_columns,
looked_table,
looked_columns,
default,
}
}
}
/// Cross-table lookup data for one table.
#[derive(Clone)]
pub struct CtlData<F: Field> {
/// Challenges used in the argument.
pub(crate) challenges: GrandProductChallengeSet<F>,
/// Vector of `(Z, columns)` where `Z` is a Z-polynomial for a lookup on columns `columns`.
pub zs_columns: Vec<(PolynomialValues<F>, Vec<usize>)>,
}
impl<F: Field> CtlData<F> {
pub(crate) fn new(challenges: GrandProductChallengeSet<F>) -> Self {
Self {
challenges,
zs_columns: vec![],
}
}
pub fn len(&self) -> usize {
self.zs_columns.len()
}
pub fn is_empty(&self) -> bool {
self.zs_columns.is_empty()
}
pub fn z_polys(&self) -> Vec<PolynomialValues<F>> {
self.zs_columns.iter().map(|(p, _)| p.clone()).collect()
}
}
pub fn cross_table_lookup_data<F: RichField, C: GenericConfig<D, F = F>, const D: usize>(
config: &StarkConfig,
trace_poly_values: &[Vec<PolynomialValues<F>>],
cross_table_lookups: &[CrossTableLookup<F>],
challenger: &mut Challenger<F, C::Hasher>,
) -> Vec<CtlData<F>> {
let challenges = get_grand_product_challenge_set(challenger, config.num_challenges);
let mut ctl_data_per_table = vec![CtlData::new(challenges.clone()); trace_poly_values.len()];
for CrossTableLookup {
looking_table,
looking_columns,
looked_table,
looked_columns,
default,
} in cross_table_lookups
{
for &challenge in &challenges.challenges {
let z_looking = partial_products(
&trace_poly_values[*looking_table as usize],
looking_columns,
challenge,
);
let z_looked = partial_products(
&trace_poly_values[*looked_table as usize],
looked_columns,
challenge,
);
debug_assert_eq!(
*z_looking.values.last().unwrap(),
*z_looked.values.last().unwrap()
* challenge.combine(default).exp_u64(
trace_poly_values[*looking_table as usize][0].len() as u64
- trace_poly_values[*looked_table as usize][0].len() as u64
)
);
ctl_data_per_table[*looking_table as usize]
.zs_columns
.push((z_looking, looking_columns.clone()));
ctl_data_per_table[*looked_table as usize]
.zs_columns
.push((z_looked, looked_columns.clone()));
}
}
ctl_data_per_table
}
fn partial_products<F: Field>(
trace: &[PolynomialValues<F>],
columns: &[usize],
challenge: GrandProductChallenge<F>,
) -> PolynomialValues<F> {
let mut partial_prod = F::ONE;
let degree = trace[0].len();
let mut res = Vec::with_capacity(degree);
for i in 0..degree {
partial_prod *= challenge.combine(columns.iter().map(|&j| &trace[j].values[i]));
res.push(partial_prod);
}
res.into()
}
#[derive(Clone)]
pub struct CtlCheckVars<'a, F, FE, P, const D2: usize>
where
F: Field,
FE: FieldExtension<D2, BaseField = F>,
P: PackedField<Scalar = FE>,
{
pub(crate) local_z: P,
pub(crate) next_z: P,
pub(crate) challenges: GrandProductChallenge<F>,
pub(crate) columns: &'a [usize],
}
impl<'a, F: RichField + Extendable<D>, const D: usize>
CtlCheckVars<'a, F, F::Extension, F::Extension, D>
{
pub(crate) fn from_proofs<C: GenericConfig<D, F = F>>(
proofs: &[StarkProofWithPublicInputs<F, C, D>],
cross_table_lookups: &'a [CrossTableLookup<F>],
ctl_challenges: &'a GrandProductChallengeSet<F>,
num_permutation_zs: &[usize],
) -> Vec<Vec<Self>> {
debug_assert_eq!(proofs.len(), num_permutation_zs.len());
let mut ctl_zs = proofs
.iter()
.zip(num_permutation_zs)
.map(|(p, &num_perms)| {
let openings = &p.proof.openings;
let ctl_zs = openings.permutation_ctl_zs.iter().skip(num_perms);
let ctl_zs_right = openings.permutation_ctl_zs_right.iter().skip(num_perms);
ctl_zs.zip(ctl_zs_right)
})
.collect::<Vec<_>>();
let mut ctl_vars_per_table = vec![vec![]; proofs.len()];
for CrossTableLookup {
looking_table,
looking_columns,
looked_table,
looked_columns,
..
} in cross_table_lookups
{
for &challenges in &ctl_challenges.challenges {
let (looking_z, looking_z_next) = ctl_zs[*looking_table as usize].next().unwrap();
ctl_vars_per_table[*looking_table as usize].push(Self {
local_z: *looking_z,
next_z: *looking_z_next,
challenges,
columns: looking_columns,
});
let (looked_z, looked_z_next) = ctl_zs[*looked_table as usize].next().unwrap();
ctl_vars_per_table[*looked_table as usize].push(Self {
local_z: *looked_z,
next_z: *looked_z_next,
challenges,
columns: looked_columns,
});
}
}
ctl_vars_per_table
}
}
pub(crate) fn eval_cross_table_lookup_checks<F, FE, P, C, S, const D: usize, const D2: usize>(
vars: StarkEvaluationVars<FE, P, { S::COLUMNS }, { S::PUBLIC_INPUTS }>,
ctl_vars: &[CtlCheckVars<F, FE, P, D2>],
consumer: &mut ConstraintConsumer<P>,
) where
F: RichField + Extendable<D>,
FE: FieldExtension<D2, BaseField = F>,
P: PackedField<Scalar = FE>,
C: GenericConfig<D, F = F>,
S: Stark<F, D>,
{
for lookup_vars in ctl_vars {
let CtlCheckVars {
local_z,
next_z,
challenges,
columns,
} = lookup_vars;
let combine = |v: &[P]| -> P { challenges.combine(columns.iter().map(|&i| &v[i])) };
// Check value of `Z(1)`
consumer.constraint_first_row(*local_z - combine(vars.local_values));
// Check `Z(gw) = combination * Z(w)`
consumer.constraint_transition(*next_z - *local_z * combine(vars.next_values));
}
}
#[derive(Clone)]
pub struct CtlCheckVarsTarget<'a, const D: usize> {
pub(crate) local_z: ExtensionTarget<D>,
pub(crate) next_z: ExtensionTarget<D>,
pub(crate) challenges: GrandProductChallenge<Target>,
pub(crate) columns: &'a [usize],
}
impl<'a, const D: usize> CtlCheckVarsTarget<'a, D> {
pub(crate) fn from_proofs<F: Field>(
proofs: &[StarkProofWithPublicInputsTarget<D>],
cross_table_lookups: &'a [CrossTableLookup<F>],
ctl_challenges: &'a GrandProductChallengeSet<Target>,
num_permutation_zs: &[usize],
) -> Vec<Vec<Self>> {
debug_assert_eq!(proofs.len(), num_permutation_zs.len());
let mut ctl_zs = proofs
.iter()
.zip(num_permutation_zs)
.map(|(p, &num_perms)| {
let openings = &p.proof.openings;
let ctl_zs = openings.permutation_ctl_zs.iter().skip(num_perms);
let ctl_zs_right = openings.permutation_ctl_zs_right.iter().skip(num_perms);
ctl_zs.zip(ctl_zs_right)
})
.collect::<Vec<_>>();
let mut ctl_vars_per_table = vec![vec![]; proofs.len()];
for CrossTableLookup {
looking_table,
looking_columns,
looked_table,
looked_columns,
..
} in cross_table_lookups
{
for &challenges in &ctl_challenges.challenges {
let (looking_z, looking_z_next) = ctl_zs[*looking_table as usize].next().unwrap();
ctl_vars_per_table[*looking_table as usize].push(Self {
local_z: *looking_z,
next_z: *looking_z_next,
challenges,
columns: looking_columns,
});
let (looked_z, looked_z_next) = ctl_zs[*looked_table as usize].next().unwrap();
ctl_vars_per_table[*looked_table as usize].push(Self {
local_z: *looked_z,
next_z: *looked_z_next,
challenges,
columns: looked_columns,
});
}
}
ctl_vars_per_table
}
}
pub(crate) fn eval_cross_table_lookup_checks_circuit<
S: Stark<F, D>,
F: RichField + Extendable<D>,
const D: usize,
>(
builder: &mut CircuitBuilder<F, D>,
vars: StarkEvaluationTargets<D, { S::COLUMNS }, { S::PUBLIC_INPUTS }>,
ctl_vars: &[CtlCheckVarsTarget<D>],
consumer: &mut RecursiveConstraintConsumer<F, D>,
) {
for lookup_vars in ctl_vars {
let CtlCheckVarsTarget {
local_z,
next_z,
challenges,
columns,
} = lookup_vars;
// Check value of `Z(1)`
let combined_local = challenges.combine_circuit(
builder,
&columns
.iter()
.map(|&i| vars.local_values[i])
.collect::<Vec<_>>(),
);
let first_row = builder.sub_extension(*local_z, combined_local);
consumer.constraint_first_row(builder, first_row);
// Check `Z(gw) = combination * Z(w)`
let combined_next = challenges.combine_circuit(
builder,
&columns
.iter()
.map(|&i| vars.next_values[i])
.collect::<Vec<_>>(),
);
let mut transition = builder.mul_extension(*local_z, combined_next);
transition = builder.sub_extension(*next_z, transition);
consumer.constraint_transition(builder, transition);
}
}
pub(crate) fn verify_cross_table_lookups<
F: RichField + Extendable<D>,
C: GenericConfig<D, F = F>,
const D: usize,
>(
cross_table_lookups: Vec<CrossTableLookup<F>>,
proofs: &[StarkProofWithPublicInputs<F, C, D>],
challenges: GrandProductChallengeSet<F>,
config: &StarkConfig,
) -> Result<()> {
let degrees_bits = proofs
.iter()
.map(|p| p.proof.recover_degree_bits(config))
.collect::<Vec<_>>();
let mut ctl_zs_openings = proofs
.iter()
.map(|p| p.proof.openings.ctl_zs_last.iter())
.collect::<Vec<_>>();
for (
i,
CrossTableLookup {
looking_table,
looked_table,
default,
..
},
) in cross_table_lookups.into_iter().enumerate()
{
let looking_degree = 1 << degrees_bits[looking_table as usize];
let looked_degree = 1 << degrees_bits[looked_table as usize];
let looking_z = *ctl_zs_openings[looking_table as usize].next().unwrap();
let looked_z = *ctl_zs_openings[looked_table as usize].next().unwrap();
let challenge = challenges.challenges[i % config.num_challenges];
let combined_default = challenge.combine(default.iter());
ensure!(
looking_z == looked_z * combined_default.exp_u64(looking_degree - looked_degree),
"Cross-table lookup verification failed."
);
}
Ok(())
}
pub(crate) fn verify_cross_table_lookups_circuit<
F: RichField + Extendable<D>,
C: GenericConfig<D, F = F>,
const D: usize,
>(
builder: &mut CircuitBuilder<F, D>,
cross_table_lookups: Vec<CrossTableLookup<F>>,
proofs: &[StarkProofWithPublicInputsTarget<D>],
challenges: GrandProductChallengeSet<Target>,
inner_config: &StarkConfig,
) {
let degrees_bits = proofs
.iter()
.map(|p| p.proof.recover_degree_bits(inner_config))
.collect::<Vec<_>>();
let mut ctl_zs_openings = proofs
.iter()
.map(|p| p.proof.openings.ctl_zs_last.iter())
.collect::<Vec<_>>();
for (
i,
CrossTableLookup {
looking_table,
looked_table,
default,
..
},
) in cross_table_lookups.into_iter().enumerate()
{
let looking_degree = 1 << degrees_bits[looking_table as usize];
let looked_degree = 1 << degrees_bits[looked_table as usize];
let looking_z = *ctl_zs_openings[looking_table as usize].next().unwrap();
let looked_z = *ctl_zs_openings[looked_table as usize].next().unwrap();
let challenge = challenges.challenges[i % inner_config.num_challenges];
let default = default
.into_iter()
.map(|x| builder.constant(x))
.collect::<Vec<_>>();
let combined_default = challenge.combine_base_circuit(builder, &default);
let pad = builder.exp_u64(combined_default, looking_degree - looked_degree);
let padded_looked_z = builder.mul(looked_z, pad);
builder.connect(looking_z, padded_looked_z);
}
}