const chai = require("chai"); const path = require("path"); const snarkjs = require("@tornado/snarkjs"); const compiler = require("circom"); const assert = chai.assert; const bigInt = snarkjs.bigInt; const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); function addPoint(a, b) { const cta = bigInt("168700"); const d = bigInt("168696"); const res = []; res[0] = bigInt((a[0] * b[1] + b[0] * a[1]) * bigInt(bigInt.one + d * a[0] * b[0] * a[1] * b[1]).inverse(q)).affine(q); res[1] = bigInt((a[1] * b[1] - cta * a[0] * b[0]) * bigInt(bigInt.one - d * a[0] * b[0] * a[1] * b[1]).inverse(q)).affine(q); return res; } function print(circuit, w, s) { console.log(s + ": " + w[circuit.getSignalIdx(s)]); } describe("Exponentioation test", () => { it("Should generate the Exponentiation table in k=0", async () => { const cirDef = await compiler(path.join(__dirname, "circuits", "escalarmulw4table_test.circom")); // console.log(JSON.stringify(cirDef, null, 1)); // assert.equal(cirDef.nVars, 2); const circuit = new snarkjs.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); const w = circuit.calculateWitness({ in: 1 }); assert(circuit.checkWitness(w)); let g = [ bigInt("5299619240641551281634865583518297030282874472190772894086521144482721001553"), bigInt("16950150798460657717958625567821834550301663161624707787222815936182638968203"), ]; dbl = [bigInt("0"), snarkjs.bigInt("1")]; for (let i = 0; i < 16; i++) { const xout1 = w[circuit.getSignalIdx(`main.out[${i}][0]`)]; const yout1 = w[circuit.getSignalIdx(`main.out[${i}][1]`)]; // console.log(xout1.toString()); // console.log(yout1.toString()); // console.log(dbl[0]); // console.log(dbl[1]); assert(xout1.equals(dbl[0])); assert(yout1.equals(dbl[1])); dbl = addPoint([xout1, yout1], g); } }); it("Should generate the Exponentiation table in k=3", async () => { const cirDef = await compiler(path.join(__dirname, "circuits", "escalarmulw4table_test3.circom")); // console.log(JSON.stringify(cirDef, null, 1)); // assert.equal(cirDef.nVars, 2); const circuit = new snarkjs.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); const w = circuit.calculateWitness({ in: 1 }); assert(circuit.checkWitness(w)); let g = [ snarkjs.bigInt("5299619240641551281634865583518297030282874472190772894086521144482721001553"), snarkjs.bigInt("16950150798460657717958625567821834550301663161624707787222815936182638968203"), ]; for (let i = 0; i < 12; i++) { g = addPoint(g, g); } dbl = [snarkjs.bigInt("0"), snarkjs.bigInt("1")]; for (let i = 0; i < 16; i++) { const xout1 = w[circuit.getSignalIdx(`main.out[${i}][0]`)]; const yout1 = w[circuit.getSignalIdx(`main.out[${i}][1]`)]; // console.log(xout1.toString()); // console.log(yout1.toString()); // console.log(dbl[0]); // console.log(dbl[1]); assert(xout1.equals(dbl[0])); assert(yout1.equals(dbl[1])); dbl = addPoint([xout1, yout1], g); } }); it("Should exponentiate g^31", async () => { const cirDef = await compiler(path.join(__dirname, "circuits", "escalarmul_test.circom"), { reduceConstraints: true }); // console.log(JSON.stringify(cirDef, null, 1)); // assert.equal(cirDef.nVars, 2); const circuit = new snarkjs.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); const w = circuit.calculateWitness({ in: 31 }); assert(circuit.checkWitness(w)); let g = [ snarkjs.bigInt("5299619240641551281634865583518297030282874472190772894086521144482721001553"), snarkjs.bigInt("16950150798460657717958625567821834550301663161624707787222815936182638968203"), ]; let c = [0n, 1n]; for (let i = 0; i < 31; i++) { c = addPoint(c, g); } const xout = w[circuit.getSignalIdx(`main.out[0]`)]; const yout = w[circuit.getSignalIdx(`main.out[1]`)]; /* console.log(xout.toString()); console.log(yout.toString()); */ assert(xout.equals(c[0])); assert(yout.equals(c[1])); console.log("-------"); const w2 = circuit.calculateWitness({ in: (1n << 252n) + 1n }); const xout2 = w2[circuit.getSignalIdx(`main.out[0]`)]; const yout2 = w2[circuit.getSignalIdx(`main.out[1]`)]; c = [g[0], g[1]]; for (let i = 0; i < 252; i++) { c = addPoint(c, c); } c = addPoint(c, g); // console.log(xout2.toString()); // console.log(yout2.toString()); // console.log(c[0].toString()); // console.log(c[1].toString()); assert(xout2.equals(c[0])); assert(yout2.equals(c[1])); }).timeout(10000000); it("Number of constrains for 256 bits", async () => { const cirDef = await compiler(path.join(__dirname, "circuits", "escalarmul_test_min.circom")); const circuit = new snarkjs.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); }).timeout(10000000); });