From 2910b7cf7d139b44878662b5a613c4b08f288395 Mon Sep 17 00:00:00 2001 From: Jordi Baylina Date: Sat, 25 Aug 2018 00:16:12 +0200 Subject: [PATCH] zkSnarks working --- README.md | 15 +- .../git/personal/zksnark/src/polfield.js | 6 +- index.js | 8 +- src/bigint.js | 70 +++++- src/bn128.js | 24 +- src/calculateWitness.js | 209 ++++++++++++++++++ src/circuit.js | 100 +++++++++ src/constants.js | 2 +- src/f2field.js | 4 +- src/f3field.js | 4 +- src/futils.js | 8 +- src/gcurve.js | 12 +- src/polfield.js | 67 ++++-- src/prover.js | 66 +++--- src/ratzqfield.js | 108 +++++++++ src/setup.js | 101 +++++---- src/verifier.js | 62 +++--- src/zqfield.js | 16 +- test/algebra.js | 24 +- test/calculatewitness.js | 20 ++ test/pols.js | 60 ++++- test/ratzqfield.js | 70 ++++++ test/zksnark.js | 67 ++++++ vk_proof.json | 1 + vk_verifier.json | 1 + 25 files changed, 945 insertions(+), 180 deletions(-) create mode 100644 src/calculateWitness.js create mode 100644 src/ratzqfield.js create mode 100644 test/calculatewitness.js create mode 100644 test/ratzqfield.js create mode 100644 test/zksnark.js create mode 100644 vk_proof.json create mode 100644 vk_verifier.json diff --git a/README.md b/README.md index 828bafa..b034e94 100644 --- a/README.md +++ b/README.md @@ -39,7 +39,7 @@ const circuit = new zkSnark.Circuit(circuitDef); circuit.nPublic; // number of public signals (nOutputs + nPublicInputs) // The array of signals is always sorted in this order: - // [ outputs, publicInputs, 1, privedInputs, internalSignals, constants] + // [ 1, outputs, publicInputs, privedInputs, internalSignals, constants] // returns a,b and c coeficients of the `signalId` on a given `constrain` circuit.a(constrain, signalId) @@ -47,14 +47,19 @@ const circuit = new zkSnark.Circuit(circuitDef); circuit.c(constrain, signalId) circuit.nOutputs // number of public outputs - circuit.nPublicInputs // number of public inputs - circuit.nPrivateInputs // number of private inputs + circuit.pubInputs // number of public inputs + circuit.nPrvInputs // number of private inputs circuit.nInputs // number of inputs ( nPublicInputs + nPrivateInputs) + circuit.nVars // number of variables ( not including constants (one is a variable) ) + circuit.nSignals // number of signals ( including constants ) circuit.outputIdx(i) // returns the index of the i'th output circuit.inputIdx(i) // returns the index of the i'th input - circuit.inputPublicIdx(i) // returns the index of the i'th public input - circuit.inputPrivateIdx(i) // returns the index of the i'th private input + circuit.pubInputIdx(i) // returns the index of the i'th public input + circuit.prvInputIdx(i) // returns the index of the i'th private input + circuit.varIdx(i) // returns the index of the i'th variable + circuit.constantIdx(i) // returns the index of the i'th constant + circuit.signalIdx(i) // returns the index of the i'th signal // returns signal Idx given a signalId // if the idx >= n , it is a constant diff --git a/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js b/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js index 2ff835e..4a3dc3b 100644 --- a/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js +++ b/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js @@ -55,7 +55,7 @@ class PolFieldZq { return this.reduce(res); } - mulEscalar(a, b) { + mulScalar(a, b) { if (this.F.isZero(b)) return []; const res = new Array(a.length); for (let i=0; i { + return (a,b) => a >> wBigInt(b); + }; + + // Shl + wBigInt.genShl = (q) => { + if (q) { + return (a,b) => (a << wBigInt(b)) % q; + } else { + return (a,b) => a << wBigInt(b); + } + }; + // Equals wBigInt.genEquals = (q) => { if (q) { @@ -132,18 +146,40 @@ if (typeof(BigInt) != "undefined") { return this < wBigInt.zero; }; - wBigInt.prototype.shiftRight = function(f) { - return this >> wBigInt(f); + wBigInt.prototype.and = function(m) { + return this & m; + }; + + wBigInt.prototype.mod = function(c) { + return this % c; + }; + + wBigInt.prototype.modPow = function(e, m) { + return this ** e % m; }; wBigInt.prototype.greaterOrEquals = function(b) { return this >= b; }; + wBigInt.prototype.greater = function(b) { + return this > b; + }; + wBigInt.prototype.gt = wBigInt.prototype.greater; + wBigInt.prototype.lesserOrEquals = function(b) { return this <= b; }; + wBigInt.prototype.lesser = function(b) { + return this < b; + }; + wBigInt.prototype.lt = wBigInt.prototype.lesser; + + wBigInt.prototype.equals = function(b) { + return this.valueOf == b.valueOf; + }; + wBigInt.prototype.eq = wBigInt.prototype.equals; } else { @@ -214,6 +250,20 @@ if (typeof(BigInt) != "undefined") { } }; + // Shr + wBigInt.genShr = () => { + return (a,b) => a.shiftRight(wBigInt(b).value); + }; + + // Shr + wBigInt.genShl = (q) => { + if (q) { + return (a,b) => a.shiftLeft(wBigInt(b).value).mod(q); + } else { + return (a,b) => a.shiftLeft(wBigInt(b).value); + } + }; + // Square wBigInt.genSquare = (q) => { if (q) { @@ -301,6 +351,22 @@ wBigInt.prototype.mul = function (a, q) { return wBigInt.genMul(q)(this, a); }; +wBigInt.shr = function(a, b, q) { + return wBigInt.genShr(q)(a,b); +}; + +wBigInt.prototype.shr = function (a, q) { + return wBigInt.genShr(q)(this, a); +}; + +wBigInt.shl = function(a, b, q) { + return wBigInt.genShl(q)(a,b); +}; + +wBigInt.prototype.shl = function (a, q) { + return wBigInt.genShl(q)(this, a); +}; + wBigInt.equals = function(a, b, q) { return wBigInt.genEquals(q)(a,b); }; diff --git a/src/bn128.js b/src/bn128.js index 013dd21..23f46eb 100644 --- a/src/bn128.js +++ b/src/bn128.js @@ -58,14 +58,14 @@ class BN128 { this.loop_count_bits = []; // Constant while (!lc.isZero()) { this.loop_count_bits.push( lc.isOdd() ); - lc = lc.shiftRight(1); + lc = lc.shr(1); } this.two_inv = this.F1.inverse(bigInt(2)); this.coef_b = bigInt(3); this.twist = [bigInt(9) , bigInt(1)]; - this.twist_coeff_b = this.F2.mulEscalar( this.F2.inverse(this.twist), this.coef_b ); + this.twist_coeff_b = this.F2.mulScalar( this.F2.inverse(this.twist), this.coef_b ); this.frobenius_coeffs_c1_1 = bigInt("21888242871839275222246405745257275088696311157297823662689037894645226208582"); this.twist_mul_by_q_X = @@ -179,8 +179,8 @@ class BN128 { f = this._mul_by_024( f, c.ell_0, - this.F2.mulEscalar(c.ell_VW , pre1.PY), - this.F2.mulEscalar(c.ell_VV , pre1.PX, )); + this.F2.mulScalar(c.ell_VW , pre1.PY), + this.F2.mulScalar(c.ell_VV , pre1.PX, )); if (bit) { @@ -188,8 +188,8 @@ class BN128 { f = this._mul_by_024( f, c.ell_0, - this.F2.mulEscalar(c.ell_VW, pre1.PY, ), - this.F2.mulEscalar(c.ell_VV, pre1.PX, )); + this.F2.mulScalar(c.ell_VW, pre1.PY, ), + this.F2.mulScalar(c.ell_VV, pre1.PX, )); } } @@ -203,15 +203,15 @@ class BN128 { f = this._mul_by_024( f, c.ell_0, - this.F2.mulEscalar(c.ell_VW, pre1.PY), - this.F2.mulEscalar(c.ell_VV, pre1.PX)); + this.F2.mulScalar(c.ell_VW, pre1.PY), + this.F2.mulScalar(c.ell_VV, pre1.PX)); c = pre2.coeffs[idx++]; f = this._mul_by_024( f, c.ell_0, - this.F2.mulEscalar(c.ell_VW, pre1.PY, ), - this.F2.mulEscalar(c.ell_VV, pre1.PX)); + this.F2.mulScalar(c.ell_VW, pre1.PY, ), + this.F2.mulScalar(c.ell_VV, pre1.PX)); return f; } @@ -229,14 +229,14 @@ class BN128 { const Y = current.Y; const Z = current.Z; - const A = this.F2.mulEscalar(this.F2.mul(X,Y), this.two_inv); // A = X1 * Y1 / 2 + const A = this.F2.mulScalar(this.F2.mul(X,Y), this.two_inv); // A = X1 * Y1 / 2 const B = this.F2.square(Y); // B = Y1^2 const C = this.F2.square(Z); // C = Z1^2 const D = this.F2.add(C, this.F2.add(C,C)); // D = 3 * C const E = this.F2.mul(this.twist_coeff_b, D); // E = twist_b * D const F = this.F2.add(E, this.F2.add(E,E)); // F = 3 * E const G = - this.F2.mulEscalar( + this.F2.mulScalar( this.F2.add( B , F ), this.two_inv); // G = (B+F)/2 const H = diff --git a/src/calculateWitness.js b/src/calculateWitness.js new file mode 100644 index 0000000..f7ecdc8 --- /dev/null +++ b/src/calculateWitness.js @@ -0,0 +1,209 @@ +const bigInt = require("./bigInt"); + +module.exports = calculateWitness; + +function calculateWitness(circuit, inputSignals, log) { + log = log || (() => {}); + const ctx = new RTCtx(circuit, log); + + function iterateSelector(values, sels, cb) { + if (!Array.isArray(values)) { + return cb(sels, values); + } + for (let i=0; i " + ctx.witness[i].toString()); + } + return ctx.witness.slice(0, circuit.nVars); +} + +class RTCtx { + constructor(circuit, log) { + this.log = log || function() {}; + this.scopes = []; + this.circuit = circuit; + this.witness = new Array(circuit.nSignals); + this.notInitSignals = {}; + for (let c in this.circuit.components) { + this.notInitSignals[c] = this.circuit.components[c].inputSignals; + } + } + + _sels2str(sels) { + let res = ""; + for (let i=0; i { + if (this.notInitSignals[c] == 0) this.triggerComponent(c); + }); + return value; + } + + setVar(name, sels, value) { + function setVarArray(a, sels2, value) { + if (sels2.length == 1) { + a[sels2[0]] = value; + } else { + if (typeof(a[sels2[0]]) == "undefined") a[sels2[0]] = []; + setVarArray(a[sels2[0]], sels2.slice(1), value); + } + } + const scope = this.scopes[this.scopes.length-1]; + if (sels.length == 0) { + scope[name] = value; + } else { + if (typeof(scope[name]) == "undefined") scope[name] = []; + setVarArray(scope[name], sels, value); + } + return value; + } + + getVar(name, sels) { + function select(a, sels2) { + return (sels2.length == 0) ? a : select(a[sels2[0]], sels2.slice(1)); + } + for (let i=this.scopes.length-1; i>=0; i--) { + if (typeof(this.scopes[i][name]) != "undefined") return select(this.scopes[i][name], sels); + } + throw new Error("Variable not defined: " + name); + } + + getSignal(name, sels) { + let fullName = name=="one" ? "one" : this.currentComponent + "." + name; + fullName += this._sels2str(sels); + return this.getSignalFullName(fullName); + } + + + getPin(componentName, componentSels, signalName, signalSels) { + let fullName = componentName=="one" ? "one" : this.currentComponent + "." + componentName; + fullName += this._sels2str(componentSels) + + "."+ + signalName+ + this._sels2str(signalSels); + return this.getSignalFullName(fullName); + } + + getSignalFullName(fullName) { + const sId = this.circuit.getSignalIdx(fullName); + if (typeof(this.witness[sId]) == "undefined") { + throw new Error("Signal not initialized: "+fullName); + } + this.log("get --->" + fullName + " = " + this.witness[sId].toString() ); + return this.witness[sId]; + } + + assert(a,b) { + const ba = bigInt(a); + const bb = bigInt(b); + if (!ba.equals(bb)) { + throw new Error("Constrain doesn't match: " + ba.toString() + " != " + bb.toString()); + } + } +} diff --git a/src/circuit.js b/src/circuit.js index f5602ff..180cd1f 100644 --- a/src/circuit.js +++ b/src/circuit.js @@ -1,6 +1,106 @@ +const bigInt = require("./bigint.js"); + +const __P__ = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); +const __MASK__ = bigInt("28948022309329048855892746252171976963317496166410141009864396001978282409983"); // 0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF +const calculateWitness = require("./calculateWitness.js"); module.exports = class Circuit { constructor(circuitDef) { + this.nPubInputs = circuitDef.nPubInputs; + this.nPrvInputs = circuitDef.nPrvInputs; + this.nInputs = circuitDef.nInputs; + this.nOutputs = circuitDef.nOutputs; + this.nVars = circuitDef.nVars; + this.nSignals = circuitDef.nSignals; + this.nConstants = circuitDef.nConstants; + this.nConstrains = circuitDef.constrains.length; + + this.signalName2Idx = circuitDef.signalName2Idx; + this.components = circuitDef.components; + this.componentName2Idx = circuitDef.componentName2Idx; + this.signals = circuitDef.signals; + this.constrains = circuitDef.constrains; + + this.templates = {}; + for (let t in circuitDef.templates) { + this.templates[t] = eval(" const __f= " +circuitDef.templates[t] + "\n__f"); + } + + this.functions = {}; + for (let f in circuitDef.functions) { + this.functions[f] = { + params: circuitDef.functions[f].params, + func: eval(" const __f= " +circuitDef.functions[f].func + "\n__f;") + }; + } + } + + calculateWitness(input) { + return calculateWitness(this, input); + } + + getSignalIdx(name) { + if (typeof(this.signalName2Idx[name]) != "undefined") return this.signalName2Idx[name]; + if (!isNaN(name)) return Number(name); + throw new Error("Invalid signal identifier: ", name); + } + + // returns the index of the i'th output + outputIdx(i) { + if (i>=this.nOutputs) throw new Error("Accessing an invalid output: "+i); + return i+1; + } + + // returns the index of the i'th input + inputIdx(i) { + if (i>=this.nInputs) throw new Error("Accessing an invalid input: "+i); + return this.nOutputs + 1 + i; + } + + // returns the index of the i'th public input + pubInputIdx(i) { + if (i>=this.nPubInputs) throw new Error("Accessing an invalid pubInput: "+i); + return this.inputIdx(i); + } + + // returns the index of the i'th private input + prvInputIdx(i) { + if (i>=this.nPrvInputs) throw new Error("Accessing an invalid prvInput: "+i); + return this.inputIdx(this.nPubInputs + i); + } + + // returns the index of the i'th variable + varIdx(i) { + if (i>=this.nVars) throw new Error("Accessing an invalid variable: "+i); + return i; + } + + // returns the index of the i'th constant + constantIdx(i) { + if (i>=this.nConstants) throw new Error("Accessing an invalid constant: "+i); + return this.nVars + i; + } + + // returns the index of the i'th signal + signalIdx(i) { + if (i>=this.nSignls) throw new Error("Accessing an invalid signal: "+i); + return i; + } + + signalNames(i) { + return this.signals[ this.getSignalIdx(i) ].names.join(", "); + } + + a(constrain, signalIdx) { + return bigInt(this.constrains[constrain][0][signalIdx] || 0 ); + } + + b(constrain, signalIdx) { + return bigInt(this.constrains[constrain][1][signalIdx] || 0); + } + + c(constrain, signalIdx) { + return bigInt(this.constrains[constrain][2][signalIdx] || 0); } }; diff --git a/src/constants.js b/src/constants.js index 37d8929..f55612d 100644 --- a/src/constants.js +++ b/src/constants.js @@ -37,7 +37,7 @@ C.two_inv= F1.inverse(bigInt(2)); C.coef_b = bigInt(3); C.twist = [bigInt(9) , bigInt(1)]; -C.twist_coeff_b = F2.mulEscalar( F2.inverse(C.twist), C.coef_b ); +C.twist_coeff_b = F2.mulScalar( F2.inverse(C.twist), C.coef_b ); module.exports = C; diff --git a/src/f2field.js b/src/f2field.js index 79e5379..ffa33d8 100644 --- a/src/f2field.js +++ b/src/f2field.js @@ -101,8 +101,8 @@ class F2Field { return [this.F.affine(a[0]), this.F.affine(a[1])]; } - mulEscalar(base, e) { - return fUtils.mulEscalar(this, base, e); + mulScalar(base, e) { + return fUtils.mulScalar(this, base, e); } exp(base, e) { diff --git a/src/f3field.js b/src/f3field.js index abd9b18..3272fa0 100644 --- a/src/f3field.js +++ b/src/f3field.js @@ -141,8 +141,8 @@ class F3Field { return [this.F.affine(a[0]), this.F.affine(a[1]), this.F.affine(a[2])]; } - mulEscalar(base, e) { - return fUtils.mulEscalar(this, base, e); + mulScalar(base, e) { + return fUtils.mulScalar(this, base, e); } exp(base, e) { diff --git a/src/futils.js b/src/futils.js index 026cd32..151d86f 100644 --- a/src/futils.js +++ b/src/futils.js @@ -1,6 +1,6 @@ -const bigInt = require("big-integer"); +const bigInt = require("./bigint.js"); -exports.mulEscalar = (F, base, e) =>{ +exports.mulScalar = (F, base, e) =>{ let res = F.zero; let rem = bigInt(e); let exp = base; @@ -10,7 +10,7 @@ exports.mulEscalar = (F, base, e) =>{ res = F.add(res, exp); } exp = F.double(exp); - rem = rem.shiftRight(1); + rem = rem.shr(1); } return res; @@ -27,7 +27,7 @@ exports.exp = (F, base, e) =>{ res = F.mul(res, exp); } exp = F.square(exp); - rem = rem.shiftRight(1); + rem = rem.shr(1); } return res; diff --git a/src/gcurve.js b/src/gcurve.js index 07c5ba7..2bc51ba 100644 --- a/src/gcurve.js +++ b/src/gcurve.js @@ -68,6 +68,14 @@ class GCurve { return res; } + neg(p) { + return [p[0], this.F.neg(p[1]), p[2]]; + } + + sub(a, b) { + return this.add(a, this.neg(b)); + } + double(p) { const res = new Array(3); @@ -105,8 +113,8 @@ class GCurve { return res; } - mulEscalar(base, e) { - return fUtils.mulEscalar(this, base, e); + mulScalar(base, e) { + return fUtils.mulScalar(this, base, e); } affine(p) { diff --git a/src/polfield.js b/src/polfield.js index 9c7a443..9f571aa 100644 --- a/src/polfield.js +++ b/src/polfield.js @@ -6,22 +6,24 @@ */ const bigInt = require("./bigInt"); -const ZqField = require("./zqfield"); class PolFieldZq { - constructor (q) { - this.F = new ZqField(q); + constructor (F) { + this.F = F; - let rem = q.sub(bigInt(1)); + const q = this.F.q; + let rem = q.sub(this.F.one); let s = 0; while (!rem.isOdd()) { s ++; - rem = rem.shiftRight(1); + rem = rem.shr(1); } + const five = this.F.add(this.F.add(this.F.two, this.F.two), this.F.one); + this.w = new Array(s+1); this.wi = new Array(s+1); - this.w[s] = this.F.exp(bigInt(5), rem); + this.w[s] = this.F.exp(five, rem); this.wi[s] = this.F.inverse(this.w[s]); let n=s-1; @@ -55,8 +57,9 @@ class PolFieldZq { return this.reduce(res); } - mulEscalar(a, b) { + mulScalar(a, b) { if (this.F.isZero(b)) return []; + if (this.F.equals(b, this.F.one)) return a; const res = new Array(a.length); for (let i=0; i a.length) { + [b, a] = [a, b]; + } + + if (b.length < log2(a.length)) { + return this.mulNormal(a,b); + } else { + return this.mulFFT(a,b); + } + } + + mulNormal(a, b) { + let res = []; + b = this.affine(b); + for (let i=0; i2*n) { - t = this.sub(this.scaleX([bigInt(1)], 2*n), this.mul(s, v)); + t = this.sub(this.scaleX([this.F.one], 2*n), this.mul(s, v)); } let q = []; diff --git a/src/prover.js b/src/prover.js index f49a633..d8e1edf 100644 --- a/src/prover.js +++ b/src/prover.js @@ -1,62 +1,58 @@ -const bigInt = require("big-integer"); - -const ZnField = require("./znfield.js"); -const G1Curve = require("./g1curve"); -const G2Curve = require("./g2curve"); +const BN128 = require("./BN128.js"); const PolField = require("./polfield.js"); +const ZqField = require("./zqfield.js"); -const F = new ZnField(bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617")); -const G1 = new G1Curve(); -const G2 = new G2Curve(); -const PolF = new PolField(F); - +const bn128 = new BN128(); +const PolF = new PolField(new ZqField(bn128.r)); +const G1 = bn128.G1; +const G2 = bn128.G2; module.exports = function genProof(vk_proof, witness) { const proof = {}; - proof.pi_a = G1.zero(); - proof.pi_ap = G1.zero(); - proof.pi_b = G2.zero(); - proof.pi_bp = G2.zero(); - proof.pi_c = G1.zero(); - proof.pi_cp = G1.zero(); - proof.pi_kp = G1.zero(); - proof.pi_h = G1.zero(); + proof.pi_a = G1.zero; + proof.pi_ap = G1.zero; + proof.pi_b = G2.zero; + proof.pi_bp = G1.zero; + proof.pi_c = G1.zero; + proof.pi_cp = G1.zero; + proof.pi_kp = G1.zero; + proof.pi_h = G1.zero; // Skip public entries and the "1" signal that are forced by the verifier - for (let s= vk_proof.nPublic+1; s< vk_proof.nSignals; s++) { + for (let s= vk_proof.nPublic+1; s< vk_proof.nVars; s++) { // pi_a = pi_a + A[s] * witness[s]; - proof.pi_a = G1.add( proof.pi_a, G1.mulEscalar( vk_proof.A[s], witness[s])); + proof.pi_a = G1.add( proof.pi_a, G1.mulScalar( vk_proof.A[s], witness[s])); // pi_ap = pi_ap + Ap[s] * witness[s]; - proof.pi_ap = G1.add( proof.pi_ap, G1.mulEscalar( vk_proof.Ap[s], witness[s])); + proof.pi_ap = G1.add( proof.pi_ap, G1.mulScalar( vk_proof.Ap[s], witness[s])); } - for (let s= 0; s< vk_proof.nSignals; s++) { + for (let s= 0; s< vk_proof.nVars; s++) { // pi_a = pi_a + A[s] * witness[s]; - proof.pi_b = G2.add( proof.pi_b, G1.mulEscalar( vk_proof.B[s], witness[s])); + proof.pi_b = G2.add( proof.pi_b, G2.mulScalar( vk_proof.B[s], witness[s])); // pi_ap = pi_ap + Ap[s] * witness[s]; - proof.pi_bp = G1.add( proof.pi_bp, G1.mulEscalar( vk_proof.Bp[s], witness[s])); + proof.pi_bp = G1.add( proof.pi_bp, G1.mulScalar( vk_proof.Bp[s], witness[s])); // pi_a = pi_a + A[s] * witness[s]; - proof.pi_c = G1.add( proof.pi_c, G1.mulEscalar( vk_proof.C[s], witness[s])); + proof.pi_c = G1.add( proof.pi_c, G1.mulScalar( vk_proof.C[s], witness[s])); // pi_ap = pi_ap + Ap[s] * witness[s]; - proof.pi_cp = G1.add( proof.pi_cp, G1.mulEscalar( vk_proof.Cp[s], witness[s])); + proof.pi_cp = G1.add( proof.pi_cp, G1.mulScalar( vk_proof.Cp[s], witness[s])); // pi_ap = pi_ap + Ap[s] * witness[s]; - proof.pi_kp = G1.add( proof.pi_kp, G1.mulEscalar( vk_proof.Kp[s], witness[s])); + proof.pi_kp = G1.add( proof.pi_kp, G1.mulScalar( vk_proof.Kp[s], witness[s])); } let polA = []; let polB = []; let polC = []; - for (let s= 0; s< vk_proof.nSignals; s++) { + for (let s= 0; s< vk_proof.nVars; s++) { polA = PolF.add( polA, PolF.mul( @@ -81,7 +77,19 @@ module.exports = function genProof(vk_proof, witness) { const h = PolF.div(polFull, vk_proof.polZ ); for (let i = 0; i < h.length; i++) { - proof.pi_h = G1.add( proof.pi_h, G1.mulEscalar( vk_proof.hExps[i], h[i])); + proof.pi_h = G1.add( proof.pi_h, G1.mulScalar( vk_proof.hExps[i], h[i])); } + proof.pi_a = G1.affine(proof.pi_a); + proof.pi_b = G2.affine(proof.pi_b); + proof.pi_c = G1.affine(proof.pi_c); + proof.pi_ap = G1.affine(proof.pi_ap); + proof.pi_bp = G1.affine(proof.pi_bp); + proof.pi_cp = G1.affine(proof.pi_cp); + proof.pi_kp = G1.affine(proof.pi_kp); + proof.pi_h = G1.affine(proof.pi_h); + + const publicSignals = witness.slice(1, vk_proof.nPublic+1); + + return {proof, publicSignals}; }; diff --git a/src/ratzqfield.js b/src/ratzqfield.js new file mode 100644 index 0000000..5d68f68 --- /dev/null +++ b/src/ratzqfield.js @@ -0,0 +1,108 @@ +const fUtils = require("./futils.js"); + +class RatZqField { + constructor(F) { + this.F = F; + this.zero = [F.zero, F.one]; + this.one = [F.one, F.one]; + this.two = [F.two, F.one]; + this.twoinv = [F.one, F.two]; + this.q = F.q; + } + + add(a,b) { + return [ + this.F.add( + this.F.mul(a[0], b[1]), + this.F.mul(a[1], b[0])), + this.F.mul(a[1], b[1])]; + } + + double(a) { + return [this.F.add(a[0], a[0]), a[1]]; + } + + sub(a,b) { + return [ + this.F.sub( + this.F.mul(a[0], b[1]), + this.F.mul(a[1], b[0])), + this.F.mul(a[1], b[1])]; + } + + neg(a) { + return [this.F.neg(a[0]), a[1]]; + } + + mul(a,b) { + return [ + this.F.mul(a[0], b[0]), + this.F.mul(a[1], b[1]), + ]; + } + + copy(a) { + return [a[0], a[1]]; + } + + div(a, b) { + return [ + this.F.mul(a[0], b[1]), + this.F.mul(a[1], b[0]), + ]; + } + + inverse(a) { + return [a[1], a[0]]; + } + + square(a) { + return [ + this.F.square(a[0]), + this.F.square(a[1]) + ]; + } + + mulScalar(base, e) { + return [this.F.mulScalar(base[0], e) , base[1]]; + } + + exp(base, e) { + return fUtils.exp(this, base, e); + } + + equals(a, b) { + return this.F.equals( + this.F.mul(a[0], b[1]), + this.F.mul(a[1], b[0]) + ); + } + + isZero(a) { + return this.F.isZero(a[0]); + } + + affine(a) { + return [this.F.div(a[0], a[1]), this.F.one]; + } + + toString(a) { + const ca = this.affine(a); + return `"0x${ca[0].toString(16)}"`; + } + + random() { + return [this.F.random(), this.F.one]; + } + + fromF(a) { + return [a, this.F.one]; + } + + toF(a) { + return this.affine(a)[0]; + } +} + + +module.exports = RatZqField; diff --git a/src/setup.js b/src/setup.js index 76b6f0a..964832f 100644 --- a/src/setup.js +++ b/src/setup.js @@ -1,23 +1,23 @@ -const bigInt = require("big-integer"); +const bigInt = require("./bigint.js"); -const ZnField = require("./znfield.js"); +const BN128 = require("./BN128.js"); const PolField = require("./polfield.js"); -const G1Curve = require("./g1curve"); -const G2Curve = require("./g2curve"); +const ZqField = require("./zqfield.js"); -const F = new ZnField(bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617")); -const PolF = new PolField(F); -const G1 = new G1Curve(); -const G2 = new G2Curve(); +const bn128 = new BN128(); +const G1 = bn128.G1; +const G2 = bn128.G2; +const PolF = new PolField(new ZqField(bn128.r)); +const F = new ZqField(bn128.r); module.exports = function setup(circuit) { const setup = { vk_proof : { - nSignals: circuit.nSignals, - nPublic: circuit.nPublic + nVars: circuit.nVars, + nPublic: circuit.nPubInputs + circuit.nOutputs }, vk_verifier: { - nPublic: circuit.nPublic + nPublic: circuit.nPubInputs + circuit.nOutputs }, toxic: {} }; @@ -26,6 +26,8 @@ module.exports = function setup(circuit) { setup.toxic.t = F.random(); calculateEncriptedValuesAtT(setup, circuit); calculateHexps(setup, circuit); + + return setup; }; function calculatePolinomials(setup, circuit) { @@ -33,7 +35,7 @@ function calculatePolinomials(setup, circuit) { const aPoints = []; const bPoints = []; const cPoints = []; - for (let s = 0; circuit.nSignals; s++) { + for (let s = 0; s { it("r*one == 0", () => { const bn128 = new BN128(); - const res = bn128.G1.mulEscalar(bn128.G1.g, bn128.r); + const res = bn128.G1.mulScalar(bn128.G1.g, bn128.r); assert(bn128.G1.equals(res, bn128.G1.zero), "G1 does not have range r"); }); @@ -43,12 +43,12 @@ describe("Curve G1 Test", () => { const r1 = bigInt(33); const r2 = bigInt(44); - const gr1 = bn128.G1.mulEscalar(bn128.G1.g, r1); - const gr2 = bn128.G1.mulEscalar(bn128.G1.g, r2); + const gr1 = bn128.G1.mulScalar(bn128.G1.g, r1); + const gr2 = bn128.G1.mulScalar(bn128.G1.g, r2); const grsum1 = bn128.G1.add(gr1, gr2); - const grsum2 = bn128.G1.mulEscalar(bn128.G1.g, r1.add(r2)); + const grsum2 = bn128.G1.mulScalar(bn128.G1.g, r1.add(r2)); assert(bn128.G1.equals(grsum1, grsum2)); }); @@ -58,7 +58,7 @@ describe("Curve G2 Test", () => { it ("r*one == 0", () => { const bn128 = new BN128(); - const res = bn128.G2.mulEscalar(bn128.G2.g, bn128.r); + const res = bn128.G2.mulScalar(bn128.G2.g, bn128.r); assert(bn128.G2.equals(res, bn128.G2.zero), "G2 does not have range r"); }); @@ -69,12 +69,12 @@ describe("Curve G2 Test", () => { const r1 = bigInt(33); const r2 = bigInt(44); - const gr1 = bn128.G2.mulEscalar(bn128.G2.g, r1); - const gr2 = bn128.G2.mulEscalar(bn128.G2.g, r2); + const gr1 = bn128.G2.mulScalar(bn128.G2.g, r1); + const gr2 = bn128.G2.mulScalar(bn128.G2.g, r2); const grsum1 = bn128.G2.add(gr1, gr2); - const grsum2 = bn128.G2.mulEscalar(bn128.G2.g, r1.add(r2)); + const grsum2 = bn128.G2.mulScalar(bn128.G2.g, r1.add(r2)); /* console.log(G2.toString(grsum1)); @@ -148,11 +148,11 @@ describe("Pairing", () => { for (let i=0; i<1; i++) { const bn128 = new BN128(); - const g1a = bn128.G1.mulEscalar(bn128.G1.g, 25); - const g2a = bn128.G2.mulEscalar(bn128.G2.g, 30); + const g1a = bn128.G1.mulScalar(bn128.G1.g, 25); + const g2a = bn128.G2.mulScalar(bn128.G2.g, 30); - const g1b = bn128.G1.mulEscalar(bn128.G1.g, 30); - const g2b = bn128.G2.mulEscalar(bn128.G2.g, 25); + const g1b = bn128.G1.mulScalar(bn128.G1.g, 30); + const g2b = bn128.G2.mulScalar(bn128.G2.g, 25); const pre1a = bn128.precomputeG1(g1a); const pre2a = bn128.precomputeG2(g2a); diff --git a/test/calculatewitness.js b/test/calculatewitness.js new file mode 100644 index 0000000..28b34d0 --- /dev/null +++ b/test/calculatewitness.js @@ -0,0 +1,20 @@ +const chai = require("chai"); +const fs = require("fs"); + +const Circuit = require("../src/circuit.js"); +const BN128 = require("../src/BN128.js"); +const F1Field = require("../src/zqfield.js"); + +const assert = chai.assert; + + +describe("Calculate witness", () => { + it("Should calculate the witness of a sum circuit", () => { + + const cirDef = JSON.parse(fs.readFileSync("../jaz/sum.json", "utf8")); + const cir = new Circuit(cirDef); + const witness = cir.calculateWitness({"a": "33", "b": "34"}); + + assert.equal(witness[cir.getSignalIdx("main.out")].toString(), "67"); + }); +}); diff --git a/test/pols.js b/test/pols.js index 20279e2..9d83ee2 100644 --- a/test/pols.js +++ b/test/pols.js @@ -2,6 +2,7 @@ const chai = require("chai"); const bigInt = require("../src/bigint.js"); const PolField = require("../src/polfield.js"); +const ZqField = require("../src/zqfield"); const assert = chai.assert; @@ -9,7 +10,7 @@ const r = bigInt("2188824287183927522224640574525727508854836440041603434369820 describe("Polinomial field", () => { it("Should compute a multiplication", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(1), bigInt(2), bigInt(3)]; const b = [bigInt(1), bigInt(2), bigInt(3)]; @@ -18,7 +19,7 @@ describe("Polinomial field", () => { assert(PF.equals(res, [bigInt(1), bigInt(4), bigInt(10), bigInt(12), bigInt(9)])); }); it("Should compute a multiplication 2", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(5), bigInt(1)]; const b = [bigInt(-5), bigInt(1)]; @@ -27,7 +28,7 @@ describe("Polinomial field", () => { assert(PF.equals(res, [bigInt(-25), bigInt(0), bigInt(1)])); }); it("Should compute an addition", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(5), bigInt(1)]; const b = [bigInt(-5), bigInt(1)]; @@ -36,7 +37,7 @@ describe("Polinomial field", () => { assert(PF.equals(res, [bigInt(0), bigInt(2)])); }); it("Should compute a substraction", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(5), bigInt(3), bigInt(4)]; const b = [bigInt(5), bigInt(1)]; @@ -45,7 +46,7 @@ describe("Polinomial field", () => { assert(PF.equals(res, [bigInt(0), bigInt(2), bigInt(4)])); }); it("Should compute reciprocal", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(4), bigInt(1), bigInt(-3), bigInt(-1), bigInt(2),bigInt(1), bigInt(-1), bigInt(1)]; const res = PF._reciprocal(a, 3, 0); @@ -53,7 +54,7 @@ describe("Polinomial field", () => { assert(PF.equals(res, [bigInt(12), bigInt(15), bigInt(3), bigInt(-4), bigInt(-3), bigInt(0), bigInt(1), bigInt(1)])); }); it("Should div2", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); // x^6 const a = [bigInt(0), bigInt(0), bigInt(0), bigInt(0), bigInt(0),bigInt(0), bigInt(1)]; @@ -67,7 +68,7 @@ describe("Polinomial field", () => { assert(PF.equals(res2, [bigInt(0), bigInt(1)])); }); it("Should div", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(1), bigInt(2), bigInt(3), bigInt(4), bigInt(5),bigInt(6), bigInt(7)]; const b = [bigInt(8), bigInt(9), bigInt(10), bigInt(11), bigInt(12), bigInt(13)]; @@ -79,7 +80,7 @@ describe("Polinomial field", () => { }); it("Should div big/small", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = [bigInt(1), bigInt(2), bigInt(3), bigInt(4), bigInt(5),bigInt(6), bigInt(7)]; const b = [bigInt(8), bigInt(9)]; @@ -90,18 +91,55 @@ describe("Polinomial field", () => { assert(PF.equals(a, d)); }); it("Should div random big", () => { - const PF = new PolField(r); + const PF = new PolField(new ZqField(r)); const a = []; const b = []; for (let i=0; i<1000; i++) a.push(bigInt(Math.floor(Math.random()*100000) -500000)); - for (let i=0; i<300; i++) b.push(bigInt(Math.floor(Math.random()*100000) -500000)); + for (let i=0; i<900; i++) b.push(bigInt(Math.floor(Math.random()*100000) -500000)); const c = PF.mul(a,b); const d = PF.div(c,b); assert(PF.equals(a, d)); - }).timeout(10000000); + }).timeout(10000); + it("Should evaluate and zero", () => { + const PF = new PolField(new ZqField(r)); + const p = [PF.F.neg(bigInt(2)), bigInt(1)]; + const v = PF.eval(p, bigInt(2)); + assert(PF.F.equals(v, bigInt(0))); + }); + it("Should create lagrange polynomial minmal", () => { + const PF = new PolField(new ZqField(r)); + + const points=[]; + points.push([bigInt(1), bigInt(1)]); + points.push([bigInt(2), bigInt(2)]); + points.push([bigInt(3), bigInt(5)]); + + const p=PF.lagrange(points); + + for (let i=0; i { + const PF = new PolField(new ZqField(r)); + + const points=[]; + points.push([bigInt(1), bigInt(2)]); + points.push([bigInt(2), bigInt(-2)]); + points.push([bigInt(3), bigInt(0)]); + points.push([bigInt(4), bigInt(453345)]); + + const p=PF.lagrange(points); + + for (let i=0; i { + 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))); + }); +}); diff --git a/test/zksnark.js b/test/zksnark.js new file mode 100644 index 0000000..b0f1795 --- /dev/null +++ b/test/zksnark.js @@ -0,0 +1,67 @@ +const chai = require("chai"); +const fs = require("fs"); +const bigInt = require("../src/bigint.js"); + +const Circuit = require("../src/circuit.js"); +const zkSnark = require("../index.js"); + +const assert = chai.assert; + + +function stringifyBigInts(o) { + if ((typeof(o) == "bigint") || (o instanceof bigInt)) { + return o.toString(10); + } else if (Array.isArray(o)) { + return o.map(stringifyBigInts); + } else if (typeof o == "object") { + const res = {}; + for (let k in o) { + res[k] = stringifyBigInts(o[k]); + } + return res; + } else { + return o; + } +} + +function unstringifyBigInts(o) { + if ((typeof(o) == "string") && (/^[0-9]+$/.test(o) )) { + return bigInt(o); + } else if (Array.isArray(o)) { + return o.map(unstringifyBigInts); + } else if (typeof o == "object") { + const res = {}; + for (let k in o) { + res[k] = unstringifyBigInts(o[k]); + } + return res; + } else { + return o; + } +} + +describe("zkSnark", () => { + it("Load a circuit, create trusted setup, create a proof and validate", () => { + + const cirDef = JSON.parse(fs.readFileSync("../jaz/sum.json", "utf8")); + const cir = new Circuit(cirDef); + + const setup = zkSnark.setup(cir); + const strSetup = stringifyBigInts(setup); + fs.writeFileSync("vk_proof.json", JSON.stringify(strSetup.vk_proof), "utf-8"); + fs.writeFileSync("vk_verifier.json", JSON.stringify(strSetup.vk_verifier), "utf-8"); + +/* + const setup = {}; + setup.vk_proof = unstringifyBigInts(JSON.parse(fs.readFileSync("vk_proof.json", "utf8"))); + setup.vk_verifier = unstringifyBigInts(JSON.parse(fs.readFileSync("vk_verifier.json", "utf8"))); +*/ + const witness = cir.calculateWitness({"a": "33", "b": "34"}); + + assert.equal(witness[cir.getSignalIdx("main.out")].toString(), "67"); + + const {proof, publicSignals} = zkSnark.genProof(setup.vk_proof, witness); + + assert( zkSnark.isValid(setup.vk_verifier, proof, publicSignals)); + }).timeout(10000000); +}); diff --git a/vk_proof.json b/vk_proof.json new file mode 100644 index 0000000..16fe7d7 --- /dev/null +++ b/vk_proof.json @@ -0,0 +1 @@ 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