/* Copyright 2018 0kims association. This file is part of zksnark JavaScript library. zksnark JavaScript library is a free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. zksnark JavaScript library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with zksnark JavaScript library. If not, see . */ const chai = require("chai"); const bigInt = require("../src/bigint.js"); const BN128 = require("../src/bn128.js"); const F1Field = require("../src/zqfield.js"); const assert = chai.assert; describe("F1 testing", () => { it("Should compute euclidean", () => { const F = new F1Field(bigInt(7)); const res = F.inverse(bigInt(4)); assert(F.equals(res, bigInt(2))); }); it("Should multiply and divide in F1", () => { const bn128 = new BN128(); const a = bigInt("1"); const b = bn128.F1.affine(bigInt("-3")); const c = bn128.F1.mul(a,b); const d = bn128.F1.div(c,b); assert(bn128.F1.equals(a, d)); }); }); describe("Curve G1 Test", () => { it("r*one == 0", () => { const bn128 = new BN128(); const res = bn128.G1.mulScalar(bn128.G1.g, bn128.r); assert(bn128.G1.equals(res, bn128.G1.zero), "G1 does not have range r"); }); it("Should add match in various in G1", () => { const bn128 = new BN128(); const r1 = bigInt(33); const r2 = bigInt(44); const gr1 = bn128.G1.mulScalar(bn128.G1.g, r1); const gr2 = bn128.G1.mulScalar(bn128.G1.g, r2); const grsum1 = bn128.G1.add(gr1, gr2); const grsum2 = bn128.G1.mulScalar(bn128.G1.g, r1.add(r2)); assert(bn128.G1.equals(grsum1, grsum2)); }); }); describe("Curve G2 Test", () => { it ("r*one == 0", () => { const bn128 = new BN128(); const res = bn128.G2.mulScalar(bn128.G2.g, bn128.r); assert(bn128.G2.equals(res, bn128.G2.zero), "G2 does not have range r"); }); it("Should add match in various in G2", () => { const bn128 = new BN128(); const r1 = bigInt(33); const r2 = bigInt(44); const gr1 = bn128.G2.mulScalar(bn128.G2.g, r1); const gr2 = bn128.G2.mulScalar(bn128.G2.g, r2); const grsum1 = bn128.G2.add(gr1, gr2); const grsum2 = bn128.G2.mulScalar(bn128.G2.g, r1.add(r2)); /* console.log(G2.toString(grsum1)); console.log(G2.toString(grsum2)); */ assert(bn128.G2.equals(grsum1, grsum2)); }); }); describe("F6 testing", () => { it("Should multiply and divide in F6", () => { const bn128 = new BN128(); const a = [ [bigInt("1"), bigInt("2")], [bigInt("3"), bigInt("4")], [bigInt("5"), bigInt("6")] ]; const b = [ [bigInt("12"), bigInt("11")], [bigInt("10"), bigInt("9")], [bigInt("8"), bigInt("7")] ]; const c = bn128.F6.mul(a,b); const d = bn128.F6.div(c,b); assert(bn128.F6.equals(a, d)); }); }); describe("F12 testing", () => { it("Should multiply and divide in F12", () => { const bn128 = new BN128(); const a = [ [ [bigInt("1"), bigInt("2")], [bigInt("3"), bigInt("4")], [bigInt("5"), bigInt("6")] ], [ [bigInt("7"), bigInt("8")], [bigInt("9"), bigInt("10")], [bigInt("11"), bigInt("12")] ] ]; const b = [ [ [bigInt("12"), bigInt("11")], [bigInt("10"), bigInt("9")], [bigInt("8"), bigInt("7")] ], [ [bigInt("6"), bigInt("5")], [bigInt("4"), bigInt("3")], [bigInt("2"), bigInt("1")] ] ]; const c = bn128.F12.mul(a,b); const d = bn128.F12.div(c,b); assert(bn128.F12.equals(a, d)); }); }); describe("Pairing", () => { it("Should match pairing", () => { for (let i=0; i<1; i++) { const bn128 = new BN128(); const g1a = bn128.G1.mulScalar(bn128.G1.g, 25); const g2a = bn128.G2.mulScalar(bn128.G2.g, 30); const g1b = bn128.G1.mulScalar(bn128.G1.g, 30); const g2b = bn128.G2.mulScalar(bn128.G2.g, 25); const pre1a = bn128.precomputeG1(g1a); const pre2a = bn128.precomputeG2(g2a); const pre1b = bn128.precomputeG1(g1b); const pre2b = bn128.precomputeG2(g2b); const r1 = bn128.millerLoop(pre1a, pre2a); const r2 = bn128.millerLoop(pre1b, pre2b); const rbe = bn128.F12.mul(r1, bn128.F12.inverse(r2)); const res = bn128.finalExponentiation(rbe); assert(bn128.F12.equals(res, bn128.F12.one)); } }).timeout(10000); });