1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
//! This module provides an implementation of a variant of (Turbo)[PLONK][plonk]
//! that is designed specifically for the polynomial commitment scheme described
//! in the [Halo][halo] paper.
//!
//! [halo]: https://eprint.iacr.org/2019/1021
//! [plonk]: https://eprint.iacr.org/2019/953

use blake2b_simd::Params as Blake2bParams;
use group::ff::{Field, FromUniformBytes, PrimeField};

use crate::arithmetic::CurveAffine;
use crate::poly::{
    Coeff, EvaluationDomain, ExtendedLagrangeCoeff, LagrangeCoeff, PinnedEvaluationDomain,
    Polynomial,
};
use crate::transcript::{ChallengeScalar, EncodedChallenge, Transcript};

mod assigned;
mod circuit;
mod error;
mod keygen;
mod lookup;
pub(crate) mod permutation;
mod vanishing;

mod prover;
mod verifier;

pub use assigned::*;
pub use circuit::*;
pub use error::*;
pub use keygen::*;
pub use prover::*;
pub use verifier::*;

use std::io;

/// This is a verifying key which allows for the verification of proofs for a
/// particular circuit.
#[derive(Clone, Debug)]
pub struct VerifyingKey<C: CurveAffine> {
    domain: EvaluationDomain<C::Scalar>,
    fixed_commitments: Vec<C>,
    permutation: permutation::VerifyingKey<C>,
    cs: ConstraintSystem<C::Scalar>,
    /// Cached maximum degree of `cs` (which doesn't change after construction).
    cs_degree: usize,
    /// The representative of this `VerifyingKey` in transcripts.
    transcript_repr: C::Scalar,
}

impl<C: CurveAffine> VerifyingKey<C>
where
    C::Scalar: FromUniformBytes<64>,
{
    fn from_parts(
        domain: EvaluationDomain<C::Scalar>,
        fixed_commitments: Vec<C>,
        permutation: permutation::VerifyingKey<C>,
        cs: ConstraintSystem<C::Scalar>,
    ) -> Self {
        // Compute cached values.
        let cs_degree = cs.degree();

        let mut vk = Self {
            domain,
            fixed_commitments,
            permutation,
            cs,
            cs_degree,
            // Temporary, this is not pinned.
            transcript_repr: C::Scalar::ZERO,
        };

        let mut hasher = Blake2bParams::new()
            .hash_length(64)
            .personal(b"Halo2-Verify-Key")
            .to_state();

        let s = format!("{:?}", vk.pinned());

        hasher.update(&(s.len() as u64).to_le_bytes());
        hasher.update(s.as_bytes());

        // Hash in final Blake2bState
        vk.transcript_repr = C::Scalar::from_uniform_bytes(hasher.finalize().as_array());

        vk
    }
}

impl<C: CurveAffine> VerifyingKey<C> {
    /// Hashes a verification key into a transcript.
    pub fn hash_into<E: EncodedChallenge<C>, T: Transcript<C, E>>(
        &self,
        transcript: &mut T,
    ) -> io::Result<()> {
        transcript.common_scalar(self.transcript_repr)?;

        Ok(())
    }

    /// Obtains a pinned representation of this verification key that contains
    /// the minimal information necessary to reconstruct the verification key.
    pub fn pinned(&self) -> PinnedVerificationKey<'_, C> {
        PinnedVerificationKey {
            base_modulus: C::Base::MODULUS,
            scalar_modulus: C::Scalar::MODULUS,
            domain: self.domain.pinned(),
            fixed_commitments: &self.fixed_commitments,
            permutation: &self.permutation,
            cs: self.cs.pinned(),
        }
    }
}

/// Minimal representation of a verification key that can be used to identify
/// its active contents.
#[allow(dead_code)]
#[derive(Debug)]
pub struct PinnedVerificationKey<'a, C: CurveAffine> {
    base_modulus: &'static str,
    scalar_modulus: &'static str,
    domain: PinnedEvaluationDomain<'a, C::Scalar>,
    cs: PinnedConstraintSystem<'a, C::Scalar>,
    fixed_commitments: &'a Vec<C>,
    permutation: &'a permutation::VerifyingKey<C>,
}
/// This is a proving key which allows for the creation of proofs for a
/// particular circuit.
#[derive(Clone, Debug)]
pub struct ProvingKey<C: CurveAffine> {
    vk: VerifyingKey<C>,
    l0: Polynomial<C::Scalar, ExtendedLagrangeCoeff>,
    l_blind: Polynomial<C::Scalar, ExtendedLagrangeCoeff>,
    l_last: Polynomial<C::Scalar, ExtendedLagrangeCoeff>,
    fixed_values: Vec<Polynomial<C::Scalar, LagrangeCoeff>>,
    fixed_polys: Vec<Polynomial<C::Scalar, Coeff>>,
    fixed_cosets: Vec<Polynomial<C::Scalar, ExtendedLagrangeCoeff>>,
    permutation: permutation::ProvingKey<C>,
}

impl<C: CurveAffine> ProvingKey<C> {
    /// Get the underlying [`VerifyingKey`].
    pub fn get_vk(&self) -> &VerifyingKey<C> {
        &self.vk
    }
}

impl<C: CurveAffine> VerifyingKey<C> {
    /// Get the underlying [`EvaluationDomain`].
    pub fn get_domain(&self) -> &EvaluationDomain<C::Scalar> {
        &self.domain
    }
}

#[derive(Clone, Copy, Debug)]
struct Theta;
type ChallengeTheta<F> = ChallengeScalar<F, Theta>;

#[derive(Clone, Copy, Debug)]
struct Beta;
type ChallengeBeta<F> = ChallengeScalar<F, Beta>;

#[derive(Clone, Copy, Debug)]
struct Gamma;
type ChallengeGamma<F> = ChallengeScalar<F, Gamma>;

#[derive(Clone, Copy, Debug)]
struct Y;
type ChallengeY<F> = ChallengeScalar<F, Y>;

#[derive(Clone, Copy, Debug)]
struct X;
type ChallengeX<F> = ChallengeScalar<F, X>;