Trait ark_poly_commit::PolynomialCommitment [−][src]
Describes the interface for a polynomial commitment scheme that allows
a sender to commit to multiple polynomials and later provide a succinct proof
of evaluation for the corresponding commitments at a query set Q
, while
enforcing per-polynomial degree bounds.
Associated Types
type UniversalParams: PCUniversalParams
[src]
The universal parameters for the commitment scheme. These are “trimmed”
down to Self::CommitterKey
and Self::VerifierKey
by Self::trim
.
type CommitterKey: PCCommitterKey
[src]
The committer key for the scheme; used to commit to a polynomial and then open the commitment to produce an evaluation proof.
type VerifierKey: PCVerifierKey
[src]
The verifier key for the scheme; used to check an evaluation proof.
type PreparedVerifierKey: PCPreparedVerifierKey<Self::VerifierKey> + Clone
[src]
The prepared verifier key for the scheme; used to check an evaluation proof.
type Commitment: PCCommitment + Default
[src]
The commitment to a polynomial.
type PreparedCommitment: PCPreparedCommitment<Self::Commitment>
[src]
The prepared commitment to a polynomial.
type Randomness: PCRandomness
[src]
The commitment randomness.
type Proof: PCProof + Clone
[src]
The evaluation proof for a single point.
type BatchProof: Clone + From<Vec<Self::Proof>> + Into<Vec<Self::Proof>> + CanonicalSerialize + CanonicalDeserialize
[src]
The evaluation proof for a query set.
type Error: Error + From<Error>
[src]
The error type for the scheme.
Required methods
fn setup<R: RngCore>(
max_degree: usize,
num_vars: Option<usize>,
rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
[src]
max_degree: usize,
num_vars: Option<usize>,
rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
Constructs public parameters when given as input the maximum degree degree
for the polynomial commitment scheme. num_vars
specifies the number of
variables for multivariate setup
fn trim(
pp: &Self::UniversalParams,
supported_degree: usize,
supported_hiding_bound: usize,
enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
[src]
pp: &Self::UniversalParams,
supported_degree: usize,
supported_hiding_bound: usize,
enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
Specializes the public parameters for polynomials up to the given supported_degree
and for enforcing degree bounds in the range 1..=supported_degree
.
fn commit<'a>(
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
[src]
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
Outputs a commitments to polynomials
. If polynomials[i].is_hiding()
,
then the i
-th commitment is hiding up to polynomials.hiding_bound()
queries.
rng
should not be None
if polynomials[i].is_hiding() == true
for any i
.
If for some i
, polynomials[i].is_hiding() == false
, then the
corresponding randomness is Self::Randomness::empty()
.
If for some i
, polynomials[i].degree_bound().is_some()
, then that
polynomial will have the corresponding degree bound enforced.
fn open_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
open but with individual challenges
fn check_individual_opening_challenges<'a>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = F>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> F,
rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = F>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> F,
rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
check but with individual challenges
Provided methods
fn open<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenge: F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenge: F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
On input a list of labeled polynomials and a query point, open
outputs a proof of evaluation
of the polynomials at the query point.
fn batch_open<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenge: F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::BatchProof, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenge: F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::BatchProof, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
On input a list of labeled polynomials and a query set, open
outputs a proof of evaluation
of the polynomials at the points in the query set.
fn check<'a>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = F>,
proof: &Self::Proof,
opening_challenge: F,
rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = F>,
proof: &Self::Proof,
opening_challenge: F,
rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Verifies that values
are the evaluations at point
of the polynomials
committed inside commitments
.
fn batch_check<'a, R: RngCore>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<P::Point, F>,
proof: &Self::BatchProof,
opening_challenge: F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<P::Point, F>,
proof: &Self::BatchProof,
opening_challenge: F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Checks that values
are the true evaluations at query_set
of the polynomials
committed in labeled_commitments
.
fn open_combinations<'a>(
ck: &Self::CommitterKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenge: F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<F, P, Self>, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenge: F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<F, P, Self>, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
On input a list of polynomials, linear combinations of those polynomials,
and a query set, open_combination
outputs a proof of evaluation of
the combinations at the points in the query set.
fn check_combinations<'a, R: RngCore>(
vk: &Self::VerifierKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
eqn_query_set: &QuerySet<P::Point>,
eqn_evaluations: &Evaluations<P::Point, F>,
proof: &BatchLCProof<F, P, Self>,
opening_challenge: F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
eqn_query_set: &QuerySet<P::Point>,
eqn_evaluations: &Evaluations<P::Point, F>,
proof: &BatchLCProof<F, P, Self>,
opening_challenge: F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Checks that evaluations
are the true evaluations at query_set
of the
linear combinations of polynomials committed in commitments
.
fn batch_check_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<P::Point, F>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<P::Point, F>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
batch_check but with individual challenges
fn open_combinations_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<F, P, Self>, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
[src]
ck: &Self::CommitterKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<F, P, Self>, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
open_combinations but with individual challenges
fn check_combinations_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
eqn_query_set: &QuerySet<P::Point>,
eqn_evaluations: &Evaluations<P::Point, F>,
proof: &BatchLCProof<F, P, Self>,
opening_challenges: &dyn Fn(u64) -> F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
linear_combinations: impl IntoIterator<Item = &'a LinearCombination<F>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
eqn_query_set: &QuerySet<P::Point>,
eqn_evaluations: &Evaluations<P::Point, F>,
proof: &BatchLCProof<F, P, Self>,
opening_challenges: &dyn Fn(u64) -> F,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
check_combinations with individual challenges
fn batch_open_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::BatchProof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<F, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> F,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::BatchProof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
batch_open with individual challenges
Implementors
impl<E, P> PolynomialCommitment<<E as PairingEngine>::Fr, P> for MarlinKZG10<E, P> where
E: PairingEngine,
P: UVPolynomial<E::Fr, Point = E::Fr>,
&'a P: Div<&'b P, Output = P>,
[src]
E: PairingEngine,
P: UVPolynomial<E::Fr, Point = E::Fr>,
&'a P: Div<&'b P, Output = P>,
type UniversalParams = UniversalParams<E>
type CommitterKey = CommitterKey<E>
type VerifierKey = VerifierKey<E>
type PreparedVerifierKey = PreparedVerifierKey<E>
type Commitment = Commitment<E>
type PreparedCommitment = PreparedCommitment<E>
type Randomness = Randomness<E::Fr, P>
type Proof = Proof<E>
type BatchProof = Vec<Self::Proof>
type Error = Error
fn setup<R: RngCore>(
max_degree: usize,
_num_vars: Option<usize>,
rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
[src]
max_degree: usize,
_num_vars: Option<usize>,
rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
Constructs public parameters when given as input the maximum degree max_degree
for the polynomial commitment scheme.
fn trim(
pp: &Self::UniversalParams,
supported_degree: usize,
supported_hiding_bound: usize,
enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
[src]
pp: &Self::UniversalParams,
supported_degree: usize,
supported_hiding_bound: usize,
enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
fn commit<'a>(
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
[src]
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
Outputs a commitment to polynomial
.
fn open_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
_commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
_rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
_commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
_rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
On input a polynomial p
and a point point
, outputs a proof for the same.
fn check_individual_opening_challenges<'a>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = E::Fr>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = E::Fr>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Verifies that value
is the evaluation at x
of the polynomial
committed inside comm
.
fn batch_check_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<E::Fr, P::Point>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<E::Fr, P::Point>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
fn open_combinations_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<E::Fr, P, Self>, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<E::Fr, P, Self>, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
fn check_combinations_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<E::Fr, P::Point>,
proof: &BatchLCProof<E::Fr, P, Self>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<E::Fr, P::Point>,
proof: &BatchLCProof<E::Fr, P, Self>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Checks that values
are the true evaluations at query_set
of the polynomials
committed in labeled_commitments
.
fn batch_open_individual_opening_challenges<'a>(
ck: &CommitterKey<E>,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Commitment<E>>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Vec<Proof<E>>, Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &CommitterKey<E>,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Commitment<E>>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Vec<Proof<E>>, Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
On input a list of labeled polynomials and a query set, open
outputs a proof of evaluation
of the polynomials at the points in the query set.
impl<E, P> PolynomialCommitment<<E as PairingEngine>::Fr, P> for MarlinPST13<E, P> where
E: PairingEngine,
P: MVPolynomial<E::Fr> + Sync,
P::Point: Index<usize, Output = E::Fr>,
[src]
E: PairingEngine,
P: MVPolynomial<E::Fr> + Sync,
P::Point: Index<usize, Output = E::Fr>,
type UniversalParams = UniversalParams<E, P>
type CommitterKey = CommitterKey<E, P>
type VerifierKey = VerifierKey<E>
type PreparedVerifierKey = PreparedVerifierKey<E>
type Commitment = Commitment<E>
type PreparedCommitment = PreparedCommitment<E>
type Randomness = Randomness<E, P>
type Proof = Proof<E>
type BatchProof = Vec<Self::Proof>
type Error = Error
fn setup<R: RngCore>(
max_degree: usize,
num_vars: Option<usize>,
rng: &mut R
) -> Result<UniversalParams<E, P>, Error>
[src]
max_degree: usize,
num_vars: Option<usize>,
rng: &mut R
) -> Result<UniversalParams<E, P>, Error>
Constructs public parameters when given as input the maximum degree max_degree
and number of variables num_vars
for the polynomial commitment scheme.
fn trim(
pp: &Self::UniversalParams,
supported_degree: usize,
_supported_hiding_bound: usize,
_enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
[src]
pp: &Self::UniversalParams,
supported_degree: usize,
_supported_hiding_bound: usize,
_enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
Specializes the public parameters for polynomials up to the given supported_degree
TODO: Add the ability to trim the number of variables TODO: Update for support_hiding_bound
fn commit<'a>(
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
[src]
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
Outputs a commitments to polynomials
.
fn open_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
_commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &P::Point,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
_rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
_commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &P::Point,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
_rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
On input a polynomial p
and a point point
, outputs a proof for the same.
fn check_individual_opening_challenges<'a>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = E::Fr>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = E::Fr>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Verifies that value
is the evaluation at x
of the polynomial
committed inside comm
.
fn batch_check_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<P::Point, E::Fr>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<P::Point, E::Fr>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
fn open_combinations_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<E::Fr, P, Self>, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
[src]
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<E::Fr, P, Self>, Self::Error> where
P: 'a,
Self::Randomness: 'a,
Self::Commitment: 'a,
fn check_combinations_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<P::Point, E::Fr>,
proof: &BatchLCProof<E::Fr, P, Self>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<P::Point, E::Fr>,
proof: &BatchLCProof<E::Fr, P, Self>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Checks that values
are the true evaluations at query_set
of the polynomials
committed in labeled_commitments
.
impl<E, P> PolynomialCommitment<<E as PairingEngine>::Fr, P> for SonicKZG10<E, P> where
E: PairingEngine,
P: UVPolynomial<E::Fr, Point = E::Fr>,
&'a P: Div<&'b P, Output = P>,
[src]
E: PairingEngine,
P: UVPolynomial<E::Fr, Point = E::Fr>,
&'a P: Div<&'b P, Output = P>,
type UniversalParams = UniversalParams<E>
type CommitterKey = CommitterKey<E>
type VerifierKey = VerifierKey<E>
type PreparedVerifierKey = PreparedVerifierKey<E>
type Commitment = Commitment<E>
type PreparedCommitment = PreparedCommitment<E>
type Randomness = Randomness<E::Fr, P>
type Proof = Proof<E>
type BatchProof = Vec<Self::Proof>
type Error = Error
fn setup<R: RngCore>(
max_degree: usize,
_: Option<usize>,
rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
[src]
max_degree: usize,
_: Option<usize>,
rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
fn trim(
pp: &Self::UniversalParams,
supported_degree: usize,
supported_hiding_bound: usize,
enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
[src]
pp: &Self::UniversalParams,
supported_degree: usize,
supported_hiding_bound: usize,
enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
fn commit<'a>(
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
[src]
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
Outputs a commitment to polynomial
.
fn open_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
_commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
_rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
_commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
_rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
fn check_individual_opening_challenges<'a>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = E::Fr>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = E::Fr>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
fn batch_check_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<E::Fr, P::Point>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<E::Fr, P::Point>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
fn open_combinations_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<E::Fr, P, Self>, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
[src]
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<E::Fr, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<E::Fr, P, Self>, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
fn check_combinations_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<E::Fr, P::Point>,
proof: &BatchLCProof<E::Fr, P, Self>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<E::Fr>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
evaluations: &Evaluations<E::Fr, P::Point>,
proof: &BatchLCProof<E::Fr, P, Self>,
opening_challenges: &dyn Fn(u64) -> E::Fr,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Checks that values
are the true evaluations at query_set
of the polynomials
committed in labeled_commitments
.
impl<G, D, P> PolynomialCommitment<<G as AffineCurve>::ScalarField, P> for InnerProductArgPC<G, D, P> where
G: AffineCurve,
D: Digest,
P: UVPolynomial<G::ScalarField, Point = G::ScalarField>,
[src]
G: AffineCurve,
D: Digest,
P: UVPolynomial<G::ScalarField, Point = G::ScalarField>,
type UniversalParams = UniversalParams<G>
type CommitterKey = CommitterKey<G>
type VerifierKey = VerifierKey<G>
type PreparedVerifierKey = PreparedVerifierKey<G>
type Commitment = Commitment<G>
type PreparedCommitment = PreparedCommitment<G>
type Randomness = Randomness<G>
type Proof = Proof<G>
type BatchProof = Vec<Self::Proof>
type Error = Error
fn setup<R: RngCore>(
max_degree: usize,
_: Option<usize>,
_rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
[src]
max_degree: usize,
_: Option<usize>,
_rng: &mut R
) -> Result<Self::UniversalParams, Self::Error>
fn trim(
pp: &Self::UniversalParams,
supported_degree: usize,
_supported_hiding_bound: usize,
_enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
[src]
pp: &Self::UniversalParams,
supported_degree: usize,
_supported_hiding_bound: usize,
_enforced_degree_bounds: Option<&[usize]>
) -> Result<(Self::CommitterKey, Self::VerifierKey), Self::Error>
fn commit<'a>(
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<G::ScalarField, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
[src]
ck: &Self::CommitterKey,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<G::ScalarField, P>>,
rng: Option<&mut dyn RngCore>
) -> Result<(Vec<LabeledCommitment<Self::Commitment>>, Vec<Self::Randomness>), Self::Error> where
P: 'a,
Outputs a commitment to polynomial
.
fn open_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<G::ScalarField, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
Self::Commitment: 'a,
Self::Randomness: 'a,
P: 'a,
[src]
ck: &Self::CommitterKey,
labeled_polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<G::ScalarField, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<Self::Proof, Self::Error> where
Self::Commitment: 'a,
Self::Randomness: 'a,
P: 'a,
fn check_individual_opening_challenges<'a>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = G::ScalarField>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
point: &'a P::Point,
values: impl IntoIterator<Item = G::ScalarField>,
proof: &Self::Proof,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
_rng: Option<&mut dyn RngCore>
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
fn batch_check_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<G::ScalarField, P::Point>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
values: &Evaluations<G::ScalarField, P::Point>,
proof: &Self::BatchProof,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
fn open_combinations_individual_opening_challenges<'a>(
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<G::ScalarField>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<G::ScalarField, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<G::ScalarField, P, Self>, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
[src]
ck: &Self::CommitterKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<G::ScalarField>>,
polynomials: impl IntoIterator<Item = &'a LabeledPolynomial<G::ScalarField, P>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<P::Point>,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rands: impl IntoIterator<Item = &'a Self::Randomness>,
rng: Option<&mut dyn RngCore>
) -> Result<BatchLCProof<G::ScalarField, P, Self>, Self::Error> where
Self::Randomness: 'a,
Self::Commitment: 'a,
P: 'a,
fn check_combinations_individual_opening_challenges<'a, R: RngCore>(
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<G::ScalarField>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<G::ScalarField>,
evaluations: &Evaluations<G::ScalarField, P::Point>,
proof: &BatchLCProof<G::ScalarField, P, Self>,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
[src]
vk: &Self::VerifierKey,
lc_s: impl IntoIterator<Item = &'a LinearCombination<G::ScalarField>>,
commitments: impl IntoIterator<Item = &'a LabeledCommitment<Self::Commitment>>,
query_set: &QuerySet<G::ScalarField>,
evaluations: &Evaluations<G::ScalarField, P::Point>,
proof: &BatchLCProof<G::ScalarField, P, Self>,
opening_challenges: &dyn Fn(u64) -> G::ScalarField,
rng: &mut R
) -> Result<bool, Self::Error> where
Self::Commitment: 'a,
Checks that values
are the true evaluations at query_set
of the polynomials
committed in labeled_commitments
.