255 lines
7.4 KiB
JavaScript
255 lines
7.4 KiB
JavaScript
/*
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Copyright 2018 0kims association.
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This file is part of zksnark JavaScript library.
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zksnark JavaScript library is a free software: you can redistribute it and/or
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modify it under the terms of the GNU General Public License as published by the
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Free Software Foundation, either version 3 of the License, or (at your option)
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any later version.
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zksnark JavaScript library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
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more details.
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You should have received a copy of the GNU General Public License along with
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zksnark JavaScript library. If not, see <https://www.gnu.org/licenses/>.
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*/
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const chai = require("chai");
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const bigInt = require("../src/bigint.js");
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const BN128 = require("../src/bn128.js");
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const F1Field = require("../src/zqfield.js");
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const assert = chai.assert;
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describe("F1 testing", () => {
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it("Should compute euclidean", () => {
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const F = new F1Field(bigInt(7));
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const res = F.inverse(bigInt(4));
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assert(F.equals(res, bigInt(2)));
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});
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it("Should multiply and divide in F1", () => {
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const bn128 = new BN128();
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const a = bigInt("1");
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const b = bn128.F1.affine(bigInt("-3"));
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const c = bn128.F1.mul(a,b);
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const d = bn128.F1.div(c,b);
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assert(bn128.F1.equals(a, d));
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});
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it("Should compute sqrts", () => {
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const bn128 = new BN128();
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const F = new F1Field(bn128.r);
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const a = bigInt("4");
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let b = F.sqrt(a);
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assert(F.equals(bigInt(0), F.sqrt(bigInt("0"))));
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assert(F.equals(b, bigInt("2")));
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assert(F.sqrt(F.nqr) === null);
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});
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it("Should compute sqrt of 100 random numbers", () => {
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const bn128 = new BN128();
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const F = new F1Field(bn128.r);
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for (let j=0;j<100; j++) {
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let a = F.random();
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let s = F.sqrt(a);
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if (s != null) {
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assert(F.equals(F.square(s), a));
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}
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}
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});
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});
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describe("Curve G1 Test", () => {
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it("r*one == 0", () => {
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const bn128 = new BN128();
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const res = bn128.G1.mulScalar(bn128.G1.g, bn128.r);
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assert(bn128.G1.equals(res, bn128.G1.zero), "G1 does not have range r");
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});
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it("Should add match in various in G1", () => {
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const bn128 = new BN128();
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const r1 = bigInt(33);
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const r2 = bigInt(44);
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const gr1 = bn128.G1.mulScalar(bn128.G1.g, r1);
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const gr2 = bn128.G1.mulScalar(bn128.G1.g, r2);
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const grsum1 = bn128.G1.add(gr1, gr2);
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const grsum2 = bn128.G1.mulScalar(bn128.G1.g, r1.add(r2));
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assert(bn128.G1.equals(grsum1, grsum2));
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});
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});
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describe("Curve G2 Test", () => {
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it ("r*one == 0", () => {
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const bn128 = new BN128();
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const res = bn128.G2.mulScalar(bn128.G2.g, bn128.r);
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assert(bn128.G2.equals(res, bn128.G2.zero), "G2 does not have range r");
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});
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it("Should add match in various in G2", () => {
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const bn128 = new BN128();
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const r1 = bigInt(33);
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const r2 = bigInt(44);
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const gr1 = bn128.G2.mulScalar(bn128.G2.g, r1);
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const gr2 = bn128.G2.mulScalar(bn128.G2.g, r2);
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const grsum1 = bn128.G2.add(gr1, gr2);
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const grsum2 = bn128.G2.mulScalar(bn128.G2.g, r1.add(r2));
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/*
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console.log(G2.toString(grsum1));
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console.log(G2.toString(grsum2));
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*/
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assert(bn128.G2.equals(grsum1, grsum2));
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});
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});
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describe("F6 testing", () => {
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it("Should multiply and divide in F6", () => {
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const bn128 = new BN128();
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const a =
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[
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[bigInt("1"), bigInt("2")],
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[bigInt("3"), bigInt("4")],
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[bigInt("5"), bigInt("6")]
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];
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const b =
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[
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[bigInt("12"), bigInt("11")],
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[bigInt("10"), bigInt("9")],
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[bigInt("8"), bigInt("7")]
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];
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const c = bn128.F6.mul(a,b);
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const d = bn128.F6.div(c,b);
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assert(bn128.F6.equals(a, d));
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});
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});
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describe("F12 testing", () => {
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it("Should multiply and divide in F12", () => {
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const bn128 = new BN128();
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const a =
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[
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[
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[bigInt("1"), bigInt("2")],
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[bigInt("3"), bigInt("4")],
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[bigInt("5"), bigInt("6")]
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],
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[
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[bigInt("7"), bigInt("8")],
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[bigInt("9"), bigInt("10")],
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[bigInt("11"), bigInt("12")]
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]
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];
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const b =
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[
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[
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[bigInt("12"), bigInt("11")],
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[bigInt("10"), bigInt("9")],
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[bigInt("8"), bigInt("7")]
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],
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[
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[bigInt("6"), bigInt("5")],
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[bigInt("4"), bigInt("3")],
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[bigInt("2"), bigInt("1")]
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]
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];
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const c = bn128.F12.mul(a,b);
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const d = bn128.F12.div(c,b);
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assert(bn128.F12.equals(a, d));
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});
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});
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describe("Pairing", () => {
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/*
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it("Should match pairing", () => {
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for (let i=0; i<1; i++) {
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const bn128 = new BN128();
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const g1a = bn128.G1.mulScalar(bn128.G1.g, 25);
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const g2a = bn128.G2.mulScalar(bn128.G2.g, 30);
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const g1b = bn128.G1.mulScalar(bn128.G1.g, 30);
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const g2b = bn128.G2.mulScalar(bn128.G2.g, 25);
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const pre1a = bn128.precomputeG1(g1a);
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const pre2a = bn128.precomputeG2(g2a);
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const pre1b = bn128.precomputeG1(g1b);
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const pre2b = bn128.precomputeG2(g2b);
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const r1 = bn128.millerLoop(pre1a, pre2a);
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const r2 = bn128.millerLoop(pre1b, pre2b);
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const rbe = bn128.F12.mul(r1, bn128.F12.inverse(r2));
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const res = bn128.finalExponentiation(rbe);
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assert(bn128.F12.equals(res, bn128.F12.one));
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}
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}).timeout(10000);
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*/
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it("Should generate another pairing pairing", () => {
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for (let i=0; i<1; i++) {
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const bn128 = new BN128();
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const g1a = bn128.G1.mulScalar(bn128.G1.g, 10);
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const g2a = bn128.G2.mulScalar(bn128.G2.g, 1);
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const g1b = bn128.G1.mulScalar(bn128.G1.g, 1);
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const g2b = bn128.G2.mulScalar(bn128.G2.g, 10);
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const pre1a = bn128.precomputeG1(g1a);
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const pre2a = bn128.precomputeG2(g2a);
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const pre1b = bn128.precomputeG1(g1b);
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const pre2b = bn128.precomputeG2(g2b);
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const r1 = bn128.millerLoop(pre1a, pre2a);
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const r2 = bn128.finalExponentiation(r1);
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const r3 = bn128.millerLoop(pre1b, pre2b);
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const r4 = bn128.finalExponentiation(r3);
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console.log("ML1: " ,r1[0][0][0].affine(bn128.q).toString(16));
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console.log("FE1: " ,r2[0][0][0].affine(bn128.q).toString(16));
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console.log("ML2: " ,r3[0][0][0].affine(bn128.q).toString(16));
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console.log("FE2: " ,r4[0][0][0].affine(bn128.q).toString(16));
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assert(bn128.F12.equals(r2, r4));
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/* const r2 = bn128.millerLoop(pre1b, pre2b);
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const rbe = bn128.F12.mul(r1, bn128.F12.inverse(r2));
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const res = bn128.finalExponentiation(rbe);
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assert(bn128.F12.equals(res, bn128.F12.one)); */
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}
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}).timeout(10000);
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});
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