snarkjs/test/ratzqfield.js

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/*
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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
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.
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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.
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You should have received a copy of the GNU General Public License along with
zksnark JavaScript library. If not, see <https://www.gnu.org/licenses/>.
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*/
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const chai = require("chai");
const bigInt = require("../src/bigint.js");
const ZqField = require("../src/zqfield.js");
const RatField = require("../src/ratfield.js");
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const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const Z = new ZqField(q);
const R = new RatField(Z);
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const assert = chai.assert;
function r(a,b) {
return [bigInt(a), bigInt(b)];
}
describe("Rational zq Field", () => {
it("Should compare correctly", () => {
assert( R.equals(r(3,5), r(6,10)));
assert(!R.equals(r(3,5), r(6,11)));
});
it("Should add correctly", () => {
const a = r(7,4);
const b = r(5,12);
assert(R.equals( R.add(a,b), r(13, 6)));
});
it("Should substract", () => {
const a = r(7,4);
const b = r(5,12);
assert(R.equals( R.sub(a,b), r(4, 3)));
});
it("Should multiply", () => {
const a = r(7,4);
const b = r(5,12);
assert(R.equals( R.mul(a,b), r(35, 48)));
});
it("Should div", () => {
const a = r(7,4);
const b = r(5,12);
assert(R.equals( R.div(a,b), r(7*12, 5*4)));
});
it("Should square", () => {
const a = r(7,4);
assert(R.equals( R.square(a), r(49, 16)));
});
it("Should affine", () => {
const a = r(12,4);
const aa = R.affine(a);
assert(Z.equals( aa[0], bigInt(3)));
assert(Z.equals( aa[1], Z.one));
});
it("Should convert from Z to R", () => {
const vz = bigInt(34);
const vr = R.fromF(vz);
assert(R.equals( vr, r(34,1)));
});
it("Should convert from R to Z", () => {
const vr = r(32, 2);
const vz = R.toF(vr);
assert(Z.equals( vz, bigInt(16)));
});
});