@nori-zk/proof-conversion
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Verifying zkVM proofs inside o1js circuits, to generate Mina compatible proof
67 lines • 2.25 kB
JavaScript
import { Struct } from 'o1js';
import { FpC, Fp2, Fp6, Fp12 } from '../towers/index.js';
import { computeLineCoeffs } from './coeffs.js';
const ZERO = Fp2.zero();
class G2Line extends Struct({ lambda: Fp2, neg_mu: Fp2 }) {
constructor(lambda, neg_mu) {
super({ lambda, neg_mu });
}
static fromJSON(json) {
let value = super.fromJSON(json);
return new G2Line(value.lambda, value.neg_mu);
}
static fromPoints(lhs, rhs) {
const eq = lhs.equals(rhs);
let lambda;
if (eq.toBigInt() === 1n) {
lambda = lhs.computeLambdaSame();
}
else {
lambda = lhs.computeLambdaDiff(rhs);
}
return new G2Line(lambda, lhs.computeMu(lambda).neg());
}
// g + hw = g0 + h0W + g1W^2 + h1W^3 + g2W^4 + h2W^5
psi(cache) {
const g0 = new Fp2({ c0: FpC.from(1n), c1: FpC.from(0) });
const h0 = this.lambda.mul_by_fp(cache.xp_prime);
const g1 = Fp2.zero();
const h1 = this.neg_mu.mul_by_fp(cache.yp_prime);
const g2 = Fp2.zero();
const h2 = Fp2.zero();
const c0 = new Fp6({ c0: g0, c1: g1, c2: g2 });
const c1 = new Fp6({ c0: h0, c1: h1, c2: h2 });
return new Fp12({ c0, c1 });
}
// L, T : Y − (λX + µ) = 0
evaluate(p) {
let t = this.lambda.mul(p.x);
t = t.neg();
t = t.add(this.neg_mu);
return t.add(p.y);
}
// L, T : Y − (λX + µ) = 0
assert_is_line(t, q) {
let e1 = this.evaluate(t);
let e2 = this.evaluate(q);
e1.assert_equals(ZERO);
e2.assert_equals(ZERO);
}
assert_is_tangent(p) {
let e = this.evaluate(p);
e.assert_equals(ZERO);
let dbl_lambda_y = this.lambda.add(this.lambda).mul(p.y);
const x_square = p.x.square();
dbl_lambda_y.assert_equals(x_square.mul_by_fp(FpC.from(3n)));
// dbl_lambda_y.assert_equals(x_square.add(x_square).add(x_square));
}
// L, T : Y − (λX + µ) = 0
evaluate_g1(p) {
let t = this.lambda.mul_by_fp(p.x);
t = t.neg();
t = t.add(this.neg_mu);
return t.add_fp(p.y);
}
}
export { G2Line, computeLineCoeffs };
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