1const bigInt = require("big-integer");
 2
 3const ZnField = require("./znfield.js");
 4const G1Curve = require("./g1curve");
 5const G2Curve = require("./g2curve");
 6const PolField = require("./polfield.js");
 7
 8const F = new ZnField(bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"));
 9const G1 = new G1Curve();
10const G2 = new G2Curve();
11const PolF = new PolField(F);
12
13
14module.exports = function genProof(vk_proof, witness) {
15
16    const proof = {};
17
18    proof.pi_a = G1.zero();
19    proof.pi_ap = G1.zero();
20    proof.pi_b = G2.zero();
21    proof.pi_bp = G2.zero();
22    proof.pi_c = G1.zero();
23    proof.pi_cp = G1.zero();
24    proof.pi_kp = G1.zero();
25    proof.pi_h = G1.zero();
26
27
28    for (let s= vk_proof.nPublic; s< vk_proof.nSignals; s++) {
29
30        // pi_a  = pi_a  + A[s]  * witness[s];
31        proof.pi_a  = G1.add( proof.pi_a, G1.mulEscalar( vk_proof.A[s], witness[s]));
32
33        // pi_ap = pi_ap + Ap[s] * witness[s];
34        proof.pi_ap = G1.add( proof.pi_ap, G1.mulEscalar( vk_proof.Ap[s], witness[s]));
35    }
36
37    for (let s= 0; s< vk_proof.nSignals; s++) {
38        // pi_a  = pi_a  + A[s]  * witness[s];
39        proof.pi_b  = G2.add( proof.pi_b, G1.mulEscalar( vk_proof.B[s], witness[s]));
40
41        // pi_ap = pi_ap + Ap[s] * witness[s];
42        proof.pi_bp = G1.add( proof.pi_bp, G1.mulEscalar( vk_proof.Bp[s], witness[s]));
43
44        // pi_a  = pi_a  + A[s]  * witness[s];
45        proof.pi_c  = G1.add( proof.pi_c, G1.mulEscalar( vk_proof.C[s], witness[s]));
46
47        // pi_ap = pi_ap + Ap[s] * witness[s];
48        proof.pi_cp = G1.add( proof.pi_cp, G1.mulEscalar( vk_proof.Cp[s], witness[s]));
49
50        // pi_ap = pi_ap + Ap[s] * witness[s];
51        proof.pi_kp = G1.add( proof.pi_kp, G1.mulEscalar( vk_proof.Kp[s], witness[s]));
52    }
53
54    let polA = [];
55    let polB = [];
56    let polC = [];
57
58    for (let s= 0; s< vk_proof.nSignals; s++) {
59        polA = PolF.add(
60            polA,
61            PolF.mul(
62                vk_proof.polsA[s],
63                [witness[s]] ));
64
65        polB = PolF.add(
66            polB,
67            PolF.mul(
68                vk_proof.polsB[s],
69                [witness[s]] ));
70
71        polC = PolF.add(
72            polC,
73            PolF.mul(
74                vk_proof.polsC[s],
75                [witness[s]] ));
76    }
77
78    let polFull = PolF.sub(PolF.mul( polA, polB), polC);
79
80    const h = PolF.div(polFull, vk_proof.polZ );
81
82    for (let i = 0; i < h.length; i++) {
83        proof.pi_h = G1.add( proof.pi_h, G1.mulEscalar( vk_proof.hExps[i], h[i]));
84    }
85
86};