Files
dusk_plonk
commitment_scheme
kzg10
errors.rskey.rsmod.rssrs.rs
mod.rs
constraint_system
ecc
gates.rsmod.rs
arithmetic.rsboolean.rscomposer.rscs_errors.rslogic.rsmod.rsrange.rsvariable.rs
fft
domain.rsevaluations.rsfft_errors.rsmod.rspolynomial.rs
permutation
constants.rsmod.rspermutation.rs
proof_system
widget
arithmetic
mod.rsproverkey.rsverifierkey.rs
ecc
mod.rsproverkey.rsverifierkey.rs
logic
mod.rsproverkey.rsverifierkey.rs
permutation
mod.rsproverkey.rsverifierkey.rs
range
mod.rsproverkey.rsverifierkey.rs
mod.rs
linearisation_poly.rsmod.rspreprocess.rsproof.rsproof_system_errors.rsprover.rsquotient_poly.rsverifier.rs
bit_iterator.rslib.rsprelude.rstranscript.rsutil.rs
  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
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216

use crate::fft::{EvaluationDomain, Polynomial};
use crate::proof_system::widget::ProverKey;
use dusk_bls12_381::Scalar;

/// Evaluations at points `z` or and `z * root of unity`
pub struct Evaluations {
    pub proof: ProofEvaluations,
    // Evaluation of the linearisation sigma polynomial at `z`
    pub quot_eval: Scalar,
}

/// Proof Evaluations is a subset of all of the evaluations. These evaluations will be added to the proof
#[derive(Debug, Eq, PartialEq)]
pub struct ProofEvaluations {
    // Evaluation of the witness polynomial for the left wire at `z`
    pub a_eval: Scalar,
    // Evaluation of the witness polynomial for the right wire at `z`
    pub b_eval: Scalar,
    // Evaluation of the witness polynomial for the output wire at `z`
    pub c_eval: Scalar,
    // Evaluation of the witness polynomial for the fourth wire at `z`
    pub d_eval: Scalar,
    //
    pub a_next_eval: Scalar,
    //
    pub b_next_eval: Scalar,
    // Evaluation of the witness polynomial for the fourth wire at `z * root of unity`
    pub d_next_eval: Scalar,
    // Evaluation of the arithmetic selector polynomial at `z`
    pub q_arith_eval: Scalar,
    //
    pub q_c_eval: Scalar,
    //
    pub q_l_eval: Scalar,
    //
    pub q_r_eval: Scalar,
    // Evaluation of the left sigma polynomial at `z`
    pub left_sigma_eval: Scalar,
    // Evaluation of the right sigma polynomial at `z`
    pub right_sigma_eval: Scalar,
    // Evaluation of the out sigma polynomial at `z`
    pub out_sigma_eval: Scalar,

    // Evaluation of the linearisation sigma polynomial at `z`
    pub lin_poly_eval: Scalar,

    // (Shifted) Evaluation of the permutation polynomial at `z * root of unity`
    pub perm_eval: Scalar,
}

#[allow(clippy::too_many_arguments)]
/// Compute the linearisation polynomial
pub fn compute(
    domain: &EvaluationDomain,
    prover_key: &ProverKey,
    (
        alpha,
        beta,
        gamma,
        range_separation_challenge,
        logic_separation_challenge,
        ecc_separation_challenge,
        z_challenge,
    ): &(Scalar, Scalar, Scalar, Scalar, Scalar, Scalar, Scalar),
    w_l_poly: &Polynomial,
    w_r_poly: &Polynomial,
    w_o_poly: &Polynomial,
    w_4_poly: &Polynomial,
    t_x_poly: &Polynomial,
    z_poly: &Polynomial,
) -> (Polynomial, Evaluations) {
    // Compute evaluations
    let quot_eval = t_x_poly.evaluate(z_challenge);
    let a_eval = w_l_poly.evaluate(z_challenge);
    let b_eval = w_r_poly.evaluate(z_challenge);
    let c_eval = w_o_poly.evaluate(z_challenge);
    let d_eval = w_4_poly.evaluate(z_challenge);
    let left_sigma_eval = prover_key.permutation.left_sigma.0.evaluate(z_challenge);
    let right_sigma_eval = prover_key.permutation.right_sigma.0.evaluate(z_challenge);
    let out_sigma_eval = prover_key.permutation.out_sigma.0.evaluate(z_challenge);
    let q_arith_eval = prover_key.arithmetic.q_arith.0.evaluate(z_challenge);
    let q_c_eval = prover_key.logic.q_c.0.evaluate(z_challenge);
    let q_l_eval = prover_key.ecc.q_l.0.evaluate(z_challenge);
    let q_r_eval = prover_key.ecc.q_r.0.evaluate(z_challenge);

    let a_next_eval = w_l_poly.evaluate(&(z_challenge * domain.group_gen));
    let b_next_eval = w_r_poly.evaluate(&(z_challenge * domain.group_gen));
    let d_next_eval = w_4_poly.evaluate(&(z_challenge * domain.group_gen));
    let perm_eval = z_poly.evaluate(&(z_challenge * domain.group_gen));

    let f_1 = compute_circuit_satisfiability(
        (
            range_separation_challenge,
            logic_separation_challenge,
            ecc_separation_challenge,
        ),
        &a_eval,
        &b_eval,
        &c_eval,
        &d_eval,
        &a_next_eval,
        &b_next_eval,
        &d_next_eval,
        &q_arith_eval,
        &q_c_eval,
        &q_l_eval,
        &q_r_eval,
        prover_key,
    );

    let f_2 = prover_key.permutation.compute_linearisation(
        z_challenge,
        (alpha, beta, gamma),
        (&a_eval, &b_eval, &c_eval, &d_eval),
        (&left_sigma_eval, &right_sigma_eval, &out_sigma_eval),
        &perm_eval,
        z_poly,
    );

    let lin_poly = &f_1 + &f_2;

    // Evaluate linearisation polynomial at z_challenge
    let lin_poly_eval = lin_poly.evaluate(z_challenge);

    (
        lin_poly,
        Evaluations {
            proof: ProofEvaluations {
                a_eval,
                b_eval,
                c_eval,
                d_eval,
                a_next_eval,
                b_next_eval,
                d_next_eval,
                q_arith_eval,
                q_c_eval,
                q_l_eval,
                q_r_eval,
                left_sigma_eval,
                right_sigma_eval,
                out_sigma_eval,
                lin_poly_eval,
                perm_eval,
            },
            quot_eval,
        },
    )
}

#[allow(clippy::too_many_arguments)]
fn compute_circuit_satisfiability(
    (range_separation_challenge, logic_separation_challenge, ecc_separation_challenge): (
        &Scalar,
        &Scalar,
        &Scalar,
    ),
    a_eval: &Scalar,
    b_eval: &Scalar,
    c_eval: &Scalar,
    d_eval: &Scalar,
    a_next_eval: &Scalar,
    b_next_eval: &Scalar,
    d_next_eval: &Scalar,
    q_arith_eval: &Scalar,
    q_c_eval: &Scalar,
    q_l_eval: &Scalar,
    q_r_eval: &Scalar,
    prover_key: &ProverKey,
) -> Polynomial {
    let a =
        prover_key
            .arithmetic
            .compute_linearisation(a_eval, b_eval, c_eval, d_eval, q_arith_eval);

    let b = prover_key.range.compute_linearisation(
        range_separation_challenge,
        a_eval,
        b_eval,
        c_eval,
        d_eval,
        &d_next_eval,
    );

    let c = prover_key.logic.compute_linearisation(
        logic_separation_challenge,
        a_eval,
        a_next_eval,
        b_eval,
        b_next_eval,
        c_eval,
        d_eval,
        d_next_eval,
        q_c_eval,
    );

    let d = prover_key.ecc.compute_linearisation(
        ecc_separation_challenge,
        a_eval,
        a_next_eval,
        b_eval,
        b_next_eval,
        c_eval,
        d_eval,
        d_next_eval,
        q_l_eval,
        q_r_eval,
        q_c_eval,
    );

    let mut linearisation_poly = &a + &b;
    linearisation_poly += &c;
    linearisation_poly += &d;

    linearisation_poly
}