const chai = require("chai"); const path = require("path"); const zkSnark = require("zksnark"); const compiler = require("circom"); const assert = chai.assert; const bigInt = require("big-integer"); const q=21888242871839275222246405745257275088548364400416034343698204186575808495617n function addPoint(a,b) { const cta = 168700n; const d = 168696n; const res = []; res[0] = bigInt((a[0]*b[1] + b[0]*a[1]) * bigInt(1n + 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(1n - 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", "expw4table_test.circom")); // console.log(JSON.stringify(cirDef, null, 1)); // assert.equal(cirDef.nVars, 2); const circuit = new zkSnark.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); const w = circuit.calculateWitness({}); let g = [zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"), zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")] dbl= [zkSnark.bigInt("0"), zkSnark.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", "expw4table_test3.circom")); // console.log(JSON.stringify(cirDef, null, 1)); // assert.equal(cirDef.nVars, 2); const circuit = new zkSnark.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); const w = circuit.calculateWitness({}); let g = [zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"), zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")] for (let i=0; i<12;i++) { g = addPoint(g,g); } dbl= [zkSnark.bigInt("0"), zkSnark.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", "exp_test.circom")); // console.log(JSON.stringify(cirDef, null, 1)); // assert.equal(cirDef.nVars, 2); const circuit = new zkSnark.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); const w = circuit.calculateWitness({"in": 31}); assert(circuit.checkWitness(w)); let g = [zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"), zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")] 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", "exp_test_min.circom")); const circuit = new zkSnark.Circuit(cirDef); console.log("NConstrains: " + circuit.nConstraints); }).timeout(10000000); });