websnark/test/f1.js
2019-04-09 12:37:39 -07:00

486 lines
15 KiB
JavaScript

const assert = require("assert");
const bigInt = require("big-integer");
const buildF1 = require("../index.js").buildF1;
describe("Basic tests for Zq", () => {
it("It should do a basic addition", async () => {
const f1 = await buildF1(101);
const pA = f1.allocInt(3);
const pB = f1.allocInt(4);
const pC = f1.allocInt();
f1.f1_add(pA, pB, pC);
const c = f1.getInt(pC);
assert.equal(c, 7);
});
it("Should add with 2 chunks", async () => {
const f1 = await buildF1(bigInt("100000000000000000001", 16));
const pA = f1.allocInt(bigInt("FFFFFFFFFFFFFFFF", 16));
const pB = f1.allocInt(1);
const pC = f1.allocInt();
f1.f1_add(pA, pB, pC);
const c = f1.getInt(pC);
assert(c.equals(bigInt("10000000000000000", 16)));
});
it("Should add with 2 chunks overflow", async () => {
const q = bigInt("10000000000000001", 16);
const f1 = await buildF1(q);
const pA = f1.allocInt(bigInt("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16).mod(q));
const pB = f1.allocInt(1);
const pC = f1.allocInt();
f1.f1_add(pA, pB, pC);
const c = f1.getInt(pC);
assert(c.equals(1));
});
it("Should add with double overflow", async () => {
const q = bigInt(1).shiftLeft(255).add(1);
const a = bigInt(1).shiftLeft(256).minus(1).mod(q);
const f1 = await buildF1(q);
const pA = f1.allocInt(a);
const pC = f1.allocInt();
f1.f1_add(pA, pA, pC);
const c = f1.getInt(pC);
assert(c.equals(a.add(a).mod(q)));
});
it("It should do a basic substraction", async () => {
const f1 = await buildF1(101);
const pA = f1.allocInt(5);
const pB = f1.allocInt(3);
const pC = f1.allocInt();
f1.f1_sub(pA, pB, pC);
const c = f1.getInt(pC);
assert.equal(c, 2);
});
it("It should do a basic substraction with negative result", async () => {
const f1 = await buildF1(101);
const pA = f1.allocInt(3);
const pB = f1.allocInt(5);
const pC = f1.allocInt();
f1.f1_sub(pA, pB, pC);
const c = f1.getInt(pC);
assert.equal(c.mod(101), 99);
});
it("Should substract with 2 chunks overflow", async () => {
const q = bigInt("10000000000000001", 16);
const a = bigInt("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16).mod(q);
const f1 = await buildF1(q);
const pA = f1.allocInt(1);
const pB = f1.allocInt(a);
const pC = f1.allocInt();
f1.f1_sub(pA, pB, pC);
const c = f1.getInt(pC);
let d = bigInt.one.minus(a).mod(q);
if (d.isNegative()) d = d.add(q);
assert(c.equals(d));
});
it("It should Substract a big number", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const a = bigInt("10000242871839275222246405745257275088548364400416034343698204186575808495617");
const b = bigInt("10000242871839275222246405745257275088548364400416034343698204186575808234523");
const pA = f1.allocInt(a);
const pB = f1.allocInt(b);
const pC = f1.allocInt();
f1.f1_sub(pA, pB, pC);
const c = f1.getInt(pC);
let cc = a.minus(b).mod(q);
if (cc.isNegative()) cc = cc.add(q);
assert(cc.equals(c.mod(q)));
const pAA = f1.allocInt(b);
const pBB = f1.allocInt(a);
const pCC = f1.allocInt();
f1.f1_sub(pAA, pBB, pCC);
const d = f1.getInt(pCC);
let dd = b.minus(a).mod(q);
if (dd.isNegative()) dd = dd.add(q);
assert(dd.equals(d.mod(q)));
});
it("It should do a basic multiplication", async () => {
const f1 = await buildF1(101);
const pA = f1.allocInt(3);
const pB = f1.allocInt(4);
const pC = f1.allocInt2();
f1.int_mul(pA, pB, pC);
const c = f1.getInt2(pC);
assert.equal(c, 12);
});
it("It should do a basic division", async () => {
const f1 = await buildF1(101);
const pA = f1.allocInt(12);
const pB = f1.allocInt(6);
const pC = f1.allocInt();
f1.int_div(pA, pB, pC);
const c = f1.getInt(pC);
assert.equal(c, 2);
});
it("It should do a more complex division", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const pA = f1.allocInt(bigInt("FFFF00000000", 16));
const pB = f1.allocInt(bigInt("100000000", 16));
const pC = f1.allocInt();
f1.int_div(pA, pB, pC);
const c = f1.getInt(pC);
assert(c.equals(bigInt("FFFF", 16)));
});
it("It should do a division by zero", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const pA = f1.allocInt(bigInt("FFFF00000000", 16));
const pB = f1.allocInt(0);
const pC = f1.allocInt();
try {
f1.int_div(pA, pB, pC);
assert(false, "Didn't throw...");
} catch (err) {
assert.equal(err.toString(), "RuntimeError: divide by zero");
}
});
it("It should do a various division", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const v= [
bigInt.zero,
q.minus(1),
q.minus(2),
q.minus(1).shiftRight(1),
q.minus(1).shiftRight(1).add(1),
q.minus(1).shiftRight(1).add(2),
q.minus(1).shiftRight(1).minus(1),
q.minus(1).shiftRight(1).minus(2),
bigInt(bigInt("F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0", 16)),
bigInt(bigInt("10101010101010101010101010101010", 16)),
bigInt(bigInt("FF00FF00FF00FF00FF00FF00FF00FF00", 16)),
bigInt(bigInt("11001100110011001100110011001100", 16)),
bigInt(bigInt("F0F0F0F0F0F0F0F0", 16)),
bigInt(bigInt("1010101010101010", 16)),
bigInt(bigInt("FF00FF00FF00FF00", 16)),
bigInt(bigInt("1100110011001100", 16)),
bigInt(2),
bigInt.one,
];
const pA = f1.allocInt();
const pB = f1.allocInt();
const pC = f1.allocInt();
const pR = f1.allocInt();
for (let i=0; i<v.length; i++) {
for (let j=1; j<v.length; j++) {
const expected_c = v[i].divide(v[j]);
const expected_r = v[i].mod(v[j]);
f1.putInt(pA, v[i]);
f1.putInt(pB, v[j]);
f1.int_div(pA, pB, pC, pR);
const c = f1.getInt(pC);
const r = f1.getInt(pR);
assert(expected_r.equals(r));
assert(expected_c.equals(c));
}
}
});
it("It should do a basic reduction 1", async () => {
const f1 = await buildF1(bigInt("FFFFFFFFFFFFFFFF",16));
const pA = f1.allocInt2(bigInt(0x10000000000000000));
const pC = f1.allocInt();
f1.f1m_mReduct(pA, pC);
const c = f1.getInt(pC);
assert.equal(c, 1);
});
it("It should do a basic reduction 2", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const a = bigInt("10000242871839275222246405745257275088548364400416034343698204186575808495617");
const b = bigInt("10000242871839275222246405745257275088548364400416034343698204186575808234523");
const pA = f1.allocInt(a);
const pB = f1.allocInt(b);
const pC = f1.allocInt2();
const pD = f1.allocInt();
f1.int_mul(pA, pB, pC);
const c = f1.getInt2(pC);
f1.f1m_mReduct(pC, pD);
const d = f1.getInt(pD);
const r = bigInt.one.shiftLeft(256).mod(q);
const r2 = r.times(r).mod(q);
const pR2 = f1.allocInt(r2);
const pE = f1.allocInt2();
f1.int_mul(pD, pR2, pE);
const pF = f1.allocInt();
f1.f1m_mReduct(pE, pF);
const f = f1.getInt2(pF);
assert(a.times(b).mod(q).equals(f.mod(q)));
});
it("It should do a basic reduction 3", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const a = bigInt("10000242871839275222246405745257275088548364400416034343698204186575808495617");
const b = bigInt("10000242871839275222246405745257275088548364400416034343698204186575808234523");
const pA = f1.allocInt(a);
const pB = f1.allocInt(b);
const pC = f1.allocInt();
f1.f1_mul(pA, pB, pC);
const c = f1.getInt2(pC);
assert(a.times(b).mod(q).equals(c.mod(q)));
});
it("It should do various test in zq Snarks modules", async () => {
const q = bigInt("21888242871839275222246405745257275088696311157297823662689037894645226208583");
const f1 = await buildF1(q);
const v= [
q.minus(1),
q.minus(2),
q.minus(1).shiftRight(1),
q.minus(1).shiftRight(1).add(1),
q.minus(1).shiftRight(1).add(2),
q.minus(1).shiftRight(1).minus(1),
q.minus(1).shiftRight(1).minus(2),
bigInt(2),
bigInt.one,
bigInt.zero
];
const pA = f1.allocInt();
const pB = f1.allocInt();
const pC = f1.allocInt();
let c;
for (let i=0; i<v.length; i++) {
for (let j=0; j<5; j++) {
f1.putInt(pA, v[i]);
f1.putInt(pB, v[j]);
// eq
assert.equal( f1.int_eq(pA,pB), (i==j));
// add
f1.f1_add(pA, pB, pC);
c = f1.getInt2(pC);
assert(c.equals(v[i].add(v[j]).mod(q)));
// sub
f1.f1_sub(pA, pB, pC);
c = f1.getInt2(pC);
let s = v[i].minus(v[j]).mod(q);
if (s.isNegative()) s=s.add(q);
assert(c.equals(s));
// mul
f1.f1_mul(pA, pB, pC);
c = f1.getInt2(pC);
assert(c.equals(v[i].times(v[j]).mod(q)));
}
}
});
it("It should do a test", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const t = f1.test_F1(1000000);
console.log(t);
}).timeout(10000000);
it("Should test to montgomery", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const f1 = await buildF1(q);
const r = bigInt(11);
const pR = f1.allocInt(r);
const pRes = f1.allocInt();
const pRes2 = f1.allocInt();
f1.f1m_toMontgomery(pR, pRes);
const res = f1.getInt(pRes);
f1.f1m_fromMontgomery(pRes, pRes2);
const res2 = f1.getInt(pRes2);
assert(res.equals(r.times( bigInt.one.shiftLeft(256)).mod(q)));
assert(res2.equals(r));
});
it("Should convert back and forth montgomery", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const v= [
q.minus(1),
q.minus(2),
q.minus(1).shiftRight(1),
q.minus(1).shiftRight(1).add(1),
q.minus(1).shiftRight(1).add(2),
q.minus(1).shiftRight(1).minus(1),
q.minus(1).shiftRight(1).minus(2),
bigInt(2),
bigInt.one,
bigInt.zero
];
const f1 = await buildF1(q);
const pA = f1.allocInt();
for (let i=0; i<v.length; i++) {
f1.putInt(pA, v[i]);
f1.f1m_toMontgomery(pA, pA);
f1.f1m_fromMontgomery(pA, pA);
const a = f1.getInt(pA);
assert(v[i].equals(a));
}
});
it("Should do inverse", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const v= [
bigInt.one,
q.minus(1),
q.minus(2),
q.minus(1).shiftRight(1),
q.minus(1).shiftRight(1).add(1),
q.minus(1).shiftRight(1).add(2),
q.minus(1).shiftRight(1).minus(1),
q.minus(1).shiftRight(1).minus(2),
bigInt(2),
];
const f1 = await buildF1(q);
const pA = f1.allocInt();
const pB = f1.allocInt();
const pQ = f1.allocInt();
f1.putInt(pQ, q);
for (let i=0; i<v.length; i++) {
f1.putInt(pA, v[i]);
f1.int_inverseMod(pA, pQ, pB);
const b = f1.getInt(pB);
assert(b.equals(v[i].modInv(q)));
}
});
it("Should do inverse in montgomery", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const v= [
bigInt.one,
q.minus(1),
q.minus(2),
q.minus(1).shiftRight(1),
q.minus(1).shiftRight(1).add(1),
q.minus(1).shiftRight(1).add(2),
q.minus(1).shiftRight(1).minus(1),
q.minus(1).shiftRight(1).minus(2),
bigInt(2),
];
const f1 = await buildF1(q);
const pA = f1.allocInt();
const pB = f1.allocInt();
const pC = f1.allocInt();
for (let i=0; i<v.length; i++) {
f1.putInt(pA, v[i]);
f1.f1m_toMontgomery(pA, pA);
f1.f1m_inverse(pA, pB);
f1.f1m_mul(pA, pB, pC);
f1.f1m_fromMontgomery(pC, pC);
const c = f1.getInt(pC);
assert(c.equals(1));
}
});
it("Test Neg", async () => {
const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
const v= [
bigInt.one,
q.minus(1),
q.minus(2),
q.minus(1).shiftRight(1),
q.minus(1).shiftRight(1).add(1),
q.minus(1).shiftRight(1).add(2),
q.minus(1).shiftRight(1).minus(1),
q.minus(1).shiftRight(1).minus(2),
bigInt(2),
];
const f1 = await buildF1(q);
const pA = f1.allocInt();
for (let i=0; i<v.length; i++) {
f1.putInt(pA, v[i]);
f1.f1m_neg(pA);
f1.f1m_neg(pA);
const a = f1.getInt(pA);
assert(a.equals(v[i]));
}
});
});