From 2cf28030199f6f2b64950a6c621b11114b955225 Mon Sep 17 00:00:00 2001 From: Jordi Baylina Date: Tue, 4 Sep 2018 07:13:24 +0200 Subject: [PATCH] Use ruffini for calculatig lagrange polinomials --- .../git/personal/zksnark/src/polfield.js | 260 ------------------ src/bigint.js | 4 +- src/polfield.js | 31 ++- src/{ratzqfield.js => ratfield.js} | 4 +- src/setup.js | 37 ++- test/pols.js | 9 + test/ratzqfield.js | 4 +- vk_proof.json | 2 +- vk_verifier.json | 2 +- 9 files changed, 63 insertions(+), 290 deletions(-) delete mode 100644 file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js rename src/{ratzqfield.js => ratfield.js} (97%) diff --git a/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js b/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js deleted file mode 100644 index 4a3dc3b..0000000 --- a/file%3a/Users/jbaylina/git/personal/zksnark/src/polfield.js +++ /dev/null @@ -1,260 +0,0 @@ -/* - This library do operations on polinomials where their coefficients are in field F - - The polynomial P(x) = p0 + p1 * x + p2 * x^2 + p3 * x^3, ... - is represented by the array [ p0, p1, p2, p3, ... ] - */ - -const bigInt = require("./bigInt"); -const ZqField = require("./zqfield"); - -class PolFieldZq { - constructor (q) { - this.F = new ZqField(q); - - let rem = q.sub(bigInt(1)); - let s = 0; - while (!rem.isOdd()) { - s ++; - rem = rem.shiftRight(1); - } - - this.w = new Array(s+1); - this.wi = new Array(s+1); - this.w[s] = this.F.exp(bigInt(5), rem); - this.wi[s] = this.F.inverse(this.w[s]); - - let n=s-1; - while (n>=0) { - this.w[n] = this.F.square(this.w[n+1]); - this.wi[n] = this.F.square(this.wi[n+1]); - n--; - } - - } - - add(a, b) { - const m = Math.max(a.length, b.length); - const res = new Array(m); - for (let i=0; i0) { - const z = new Array(n).fill(this.F.zero); - return z.concat(p); - } else { - return p.slice(-n); - } - } - - div(a, b) { - throw new Error("Not Implementted"); - } - - eval(p, x) { - let v = this.F.zero; - let ix = this.F.one; - for (let i=0; i> 1; - const p1 = this._fft(pall, bits-1, offset, step*2); - const p2 = this._fft(pall, bits-1, offset+step, step*2); - - const out = new Array(n); - - let m= bigInt(1); - for (let i=0; i0 && this.F.isZero(p[i]) ) i--; - return p.slice(0, i+1); - } - - affine(p) { - for (let i=0; i> 1; - v |= v >> 2; - v |= v >> 4; - v |= v >> 8; - v |= v >> 16; - v++; - return v; - } - - toString(p) { - const ap = this.affine(p); - let S = ""; - for (let i=ap.length-1; i>=0; i--) { - if (!this.F.isZero(p[i])) { - if (S!="") S += " + "; - S = S + p[i].toString(10); - if (i>0) { - S = S + "x"; - if (i>1) { - S = S + "^" +i; - } - } - } - } - return S; - } - - - _reciprocal(p, bits) { - const k = 1 << bits; - if (k==1) { - return [ this.F.inverse(p[0]) ]; - } - const np = this.scaleX(p, -k/2); - const q = this._reciprocal(np, bits-1); - const a = this.scaleX(this.double(q), 3*k/2-2); - const b = this.mul( this.square(q), p); - - return this.scaleX(this.sub(a,b), -(k-2)); - } - - // divides x^m / v - _div2(m, v) { - const kbits = log2(v.length-1)+1; - const k = 1 << kbits; - - const scaleV = k - v.length; - - // rec = x^(k - 2) / v* x^scaleV => - // rec = x^(k-2-scaleV)/ v - // - // res = x^m/v = x^(m +(2k-2-scaleV) -(2k-2-scaleV)) /v => - // res = rec * x^(m - (2k-2-scaleV)) => - // res = rec * x^(m - 2k +2 + scaleV) - - const rec = this._reciprocal(this.scaleX(v, scaleV), kbits); - const res = this.scaleX(rec, m - k*2 +2+scaleV); - - return res; - - } - -} - -function log2( V ) -{ - return( ( ( V & 0xFFFF0000 ) !== 0 ? ( V &= 0xFFFF0000, 16 ) : 0 ) | ( ( V & 0xFF00FF00 ) !== 0 ? ( V &= 0xFF00FF00, 8 ) : 0 ) | ( ( V & 0xF0F0F0F0 ) !== 0 ? ( V &= 0xF0F0F0F0, 4 ) : 0 ) | ( ( V & 0xCCCCCCCC ) !== 0 ? ( V &= 0xCCCCCCCC, 2 ) : 0 ) | ( ( V & 0xAAAAAAAA ) !== 0 ) ); -} - -module.exports = PolFieldZq; diff --git a/src/bigint.js b/src/bigint.js index b578099..09da430 100644 --- a/src/bigint.js +++ b/src/bigint.js @@ -17,8 +17,8 @@ if (typeof(BigInt) != "undefined") { if (aux <= nq) { aux = aux % q; } - if (aux.isNegative()) { - aux = aux.add(q); + if (aux < wBigInt.zero) { + aux = aux + q; } } else { if (aux >= q) { diff --git a/src/polfield.js b/src/polfield.js index 9f571aa..afc81c3 100644 --- a/src/polfield.js +++ b/src/polfield.js @@ -5,14 +5,14 @@ is represented by the array [ p0, p1, p2, p3, ... ] */ -const bigInt = require("./bigInt"); +const bigInt = require("./bigint.js"); -class PolFieldZq { +class PolField { constructor (F) { this.F = F; const q = this.F.q; - let rem = q.sub(this.F.one); + let rem = q.sub(bigInt(1)); let s = 0; while (!rem.isOdd()) { s ++; @@ -79,7 +79,7 @@ class PolFieldZq { [b, a] = [a, b]; } - if (b.length < log2(a.length)) { + if ((b.length <= 2) || (b.length < log2(a.length))) { return this.mulNormal(a,b); } else { return this.mulFFT(a,b); @@ -151,14 +151,14 @@ class PolFieldZq { } lagrange(points) { + let roots = [this.F.one]; + for (let i=0; i=0; i--) { + res[i] = this.F.add(this.F.mul(res[i+1], r), p[i+1]); + } + return res; + } + _next2Power(v) { v--; v |= v >> 1; @@ -333,4 +342,4 @@ function log2( V ) return( ( ( V & 0xFFFF0000 ) !== 0 ? ( V &= 0xFFFF0000, 16 ) : 0 ) | ( ( V & 0xFF00FF00 ) !== 0 ? ( V &= 0xFF00FF00, 8 ) : 0 ) | ( ( V & 0xF0F0F0F0 ) !== 0 ? ( V &= 0xF0F0F0F0, 4 ) : 0 ) | ( ( V & 0xCCCCCCCC ) !== 0 ? ( V &= 0xCCCCCCCC, 2 ) : 0 ) | ( ( V & 0xAAAAAAAA ) !== 0 ) ); } -module.exports = PolFieldZq; +module.exports = PolField; diff --git a/src/ratzqfield.js b/src/ratfield.js similarity index 97% rename from src/ratzqfield.js rename to src/ratfield.js index 5d68f68..df51404 100644 --- a/src/ratzqfield.js +++ b/src/ratfield.js @@ -1,6 +1,6 @@ const fUtils = require("./futils.js"); -class RatZqField { +class RatField { constructor(F) { this.F = F; this.zero = [F.zero, F.one]; @@ -105,4 +105,4 @@ class RatZqField { } -module.exports = RatZqField; +module.exports = RatField; diff --git a/src/setup.js b/src/setup.js index 964832f..dfde407 100644 --- a/src/setup.js +++ b/src/setup.js @@ -3,11 +3,13 @@ const bigInt = require("./bigint.js"); const BN128 = require("./BN128.js"); const PolField = require("./polfield.js"); const ZqField = require("./zqfield.js"); +const RatField = require("./ratfield.js"); const bn128 = new BN128(); const G1 = bn128.G1; const G2 = bn128.G2; const PolF = new PolField(new ZqField(bn128.r)); +const RatPolF = new PolField(new RatField(new ZqField(bn128.r))); const F = new ZqField(bn128.r); module.exports = function setup(circuit) { @@ -40,9 +42,9 @@ function calculatePolinomials(setup, circuit) { bPoints[s] = []; cPoints[s] = []; for (let c=0; c { assert(PF.F.equals(v, points[i][1])); } }); + it("Should test ruffini", () => { + 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 = PF.mul(a, [bigInt(-7), bigInt(1)]); + const c = PF.ruffini(b, bigInt(7)); + + assert(PF.equals(a, c)); + }); }); diff --git a/test/ratzqfield.js b/test/ratzqfield.js index 61c311b..32e0b50 100644 --- a/test/ratzqfield.js +++ b/test/ratzqfield.js @@ -2,11 +2,11 @@ const chai = require("chai"); const bigInt = require("../src/bigint.js"); const ZqField = require("../src/zqfield.js"); -const RatZqField = require("../src/ratzqfield.js"); +const RatField = require("../src/ratfield.js"); const q = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); const Z = new ZqField(q); -const R = new RatZqField(Z); +const R = new RatField(Z); const assert = chai.assert; diff --git a/vk_proof.json b/vk_proof.json index 16fe7d7..ed87ae6 100644 --- a/vk_proof.json +++ b/vk_proof.json @@ -1 +1 @@ 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