diff --git a/.eslintrc.cjs b/.eslintrc.cjs deleted file mode 100644 index 7b1de4e..0000000 --- a/.eslintrc.cjs +++ /dev/null @@ -1,30 +0,0 @@ -module.exports = { - "env": { - "es6": true, - "node": true, - "mocha": true - }, - "parserOptions": { - "ecmaVersion": 2020, - "sourceType": "module" - }, - "extends": "eslint:recommended", - "rules": { - "indent": [ - "error", - 4 - ], - "linebreak-style": [ - "error", - "unix" - ], - "quotes": [ - "error", - "double" - ], - "semi": [ - "error", - "always" - ] - } -}; diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 113cdbf..646079e 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -8,6 +8,7 @@ on: jobs: test: name: Test + timeout-minutes: 20 runs-on: ${{ matrix.os }} strategy: @@ -18,10 +19,10 @@ jobs: steps: - name: Checkout project - uses: actions/checkout@v2 + uses: actions/checkout@v6 - name: Setup Node.js - uses: actions/setup-node@v3 + uses: actions/setup-node@v6 with: node-version: ${{ matrix.node-version }} check-latest: true diff --git a/.github/workflows/npm-publish.yml b/.github/workflows/npm-publish.yml index 20c6203..3b55c8f 100644 --- a/.github/workflows/npm-publish.yml +++ b/.github/workflows/npm-publish.yml @@ -6,6 +6,7 @@ on: jobs: publish-npm: + timeout-minutes: 15 runs-on: ubuntu-latest steps: - uses: actions/checkout@v4 diff --git a/build/browser.esm.js b/build/browser.esm.js index 09713f3..2fd441f 100644 --- a/build/browser.esm.js +++ b/build/browser.esm.js @@ -1,18194 +1,5469 @@ -/* global BigInt */ -const hexLen = [ 0, 1, 2, 2, 3, 3, 3, 3, 4 ,4 ,4 ,4 ,4 ,4 ,4 ,4]; - +//#region \0rolldown/runtime.js +var __create = Object.create; +var __defProp = Object.defineProperty; +var __getOwnPropDesc = Object.getOwnPropertyDescriptor; +var __getOwnPropNames = Object.getOwnPropertyNames; +var __getProtoOf = Object.getPrototypeOf; +var __hasOwnProp = Object.prototype.hasOwnProperty; +var __commonJSMin = (cb, mod) => () => (mod || (cb((mod = { exports: {} }).exports, mod), cb = null), mod.exports); +var __exportAll = (all, no_symbols) => { + let target = {}; + for (var name in all) __defProp(target, name, { + get: all[name], + enumerable: true + }); + if (!no_symbols) __defProp(target, Symbol.toStringTag, { value: "Module" }); + return target; +}; +var __copyProps = (to, from, except, desc) => { + if (from && typeof from === "object" || typeof from === "function") for (var keys = __getOwnPropNames(from), i = 0, n = keys.length, key; i < n; i++) { + key = keys[i]; + if (!__hasOwnProp.call(to, key) && key !== except) __defProp(to, key, { + get: ((k) => from[k]).bind(null, key), + enumerable: !(desc = __getOwnPropDesc(from, key)) || desc.enumerable + }); + } + return to; +}; +var __toESM = (mod, isNodeMode, target) => (target = mod != null ? __create(__getProtoOf(mod)) : {}, __copyProps(isNodeMode || !mod || !mod.__esModule ? __defProp(target, "default", { + value: mod, + enumerable: true +}) : target, mod)); +//#endregion +//#region src/scalar.js +var scalar_exports = /* @__PURE__ */ __exportAll({ + abs: () => abs, + add: () => add, + band: () => band, + bitLength: () => bitLength, + bits: () => bits, + bor: () => bor, + bxor: () => bxor, + div: () => div, + e: () => e, + eq: () => eq, + exp: () => exp$1, + fromArray: () => fromArray, + fromRprBE: () => fromRprBE, + fromRprLE: () => fromRprLE, + fromString: () => fromString, + geq: () => geq, + gt: () => gt, + isNegative: () => isNegative, + isOdd: () => isOdd, + isZero: () => isZero, + land: () => land, + leq: () => leq, + lnot: () => lnot, + lor: () => lor, + lt: () => lt, + mod: () => mod, + mul: () => mul, + naf: () => naf, + neg: () => neg, + neq: () => neq, + one: () => one, + pow: () => pow, + shiftLeft: () => shiftLeft, + shiftRight: () => shiftRight, + shl: () => shl, + shr: () => shr, + square: () => square, + sub: () => sub, + toArray: () => toArray, + toLEBuff: () => toLEBuff, + toNumber: () => toNumber, + toRprBE: () => toRprBE, + toRprLE: () => toRprLE, + toString: () => toString, + zero: () => zero +}); +var hexLen = [ + 0, + 1, + 2, + 2, + 3, + 3, + 3, + 3, + 4, + 4, + 4, + 4, + 4, + 4, + 4, + 4 +]; function fromString(s, radix) { - if ((!radix)||(radix==10)) { - return BigInt(s); - } else if (radix==16) { - if (s.slice(0,2) == "0x") { - return BigInt(s); - } else { - return BigInt("0x"+s); - } - } + if (!radix || radix == 10) return BigInt(s); + else if (radix == 16) if (s.slice(0, 2) == "0x") return BigInt(s); + else return BigInt("0x" + s); } - -const e = fromString; - +var e = fromString; function fromArray(a, radix) { - let acc =BigInt(0); - radix = BigInt(radix); - for (let i=0; i> BigInt(n); + return BigInt(a) >> BigInt(n); } - -const shl = shiftLeft; -const shr = shiftRight; - -function isOdd$5(a) { - return (BigInt(a) & BigInt(1)) == BigInt(1); +var shl = shiftLeft; +var shr = shiftRight; +function isOdd(a) { + return (BigInt(a) & BigInt(1)) == BigInt(1); } - - function naf(n) { - let E = BigInt(n); - const res = []; - while (E) { - if (E & BigInt(1)) { - const z = 2 - Number(E % BigInt(4)); - res.push( z ); - E = E - BigInt(z); - } else { - res.push( 0 ); - } - E = E >> BigInt(1); - } - return res; + let E = BigInt(n); + const res = []; + while (E) { + if (E & BigInt(1)) { + const z = 2 - Number(E % BigInt(4)); + res.push(z); + E = E - BigInt(z); + } else res.push(0); + E = E >> BigInt(1); + } + return res; } - - function bits(n) { - let E = BigInt(n); - const res = []; - while (E) { - if (E & BigInt(1)) { - res.push(1); - } else { - res.push( 0 ); - } - E = E >> BigInt(1); - } - return res; + let E = BigInt(n); + const res = []; + while (E) { + if (E & BigInt(1)) res.push(1); + else res.push(0); + E = E >> BigInt(1); + } + return res; +} +function toNumber(s) { + if (s > BigInt(Number.MAX_SAFE_INTEGER)) throw new Error("Number too big"); + return Number(s); } - -function toNumber$1(s) { - if (s>BigInt(Number.MAX_SAFE_INTEGER )) { - throw new Error("Number too big"); - } - return Number(s); -} - function toArray(s, radix) { - const res = []; - let rem = BigInt(s); - radix = BigInt(radix); - while (rem) { - res.unshift( Number(rem % radix)); - rem = rem / radix; - } - return res; + const res = []; + let rem = BigInt(s); + radix = BigInt(radix); + while (rem) { + res.unshift(Number(rem % radix)); + rem = rem / radix; + } + return res; } - - function add(a, b) { - return BigInt(a) + BigInt(b); + return BigInt(a) + BigInt(b); } - function sub(a, b) { - return BigInt(a) - BigInt(b); + return BigInt(a) - BigInt(b); } - function neg(a) { - return -BigInt(a); + return -BigInt(a); } - function mul(a, b) { - return BigInt(a) * BigInt(b); + return BigInt(a) * BigInt(b); } - -function square$2(a) { - return BigInt(a) * BigInt(a); +function square(a) { + return BigInt(a) * BigInt(a); } - function pow(a, b) { - return BigInt(a) ** BigInt(b); + return BigInt(a) ** BigInt(b); } - function exp$1(a, b) { - return BigInt(a) ** BigInt(b); + return BigInt(a) ** BigInt(b); } - -function abs$1(a) { - return BigInt(a) >= 0 ? BigInt(a) : -BigInt(a); +function abs(a) { + return BigInt(a) >= 0 ? BigInt(a) : -BigInt(a); } - function div(a, b) { - return BigInt(a) / BigInt(b); + return BigInt(a) / BigInt(b); } - function mod(a, b) { - return BigInt(a) % BigInt(b); + return BigInt(a) % BigInt(b); } - function eq(a, b) { - return BigInt(a) == BigInt(b); + return BigInt(a) == BigInt(b); } - function neq(a, b) { - return BigInt(a) != BigInt(b); + return BigInt(a) != BigInt(b); } - function lt(a, b) { - return BigInt(a) < BigInt(b); + return BigInt(a) < BigInt(b); } - function gt(a, b) { - return BigInt(a) > BigInt(b); + return BigInt(a) > BigInt(b); } - function leq(a, b) { - return BigInt(a) <= BigInt(b); + return BigInt(a) <= BigInt(b); } - function geq(a, b) { - return BigInt(a) >= BigInt(b); + return BigInt(a) >= BigInt(b); } - function band(a, b) { - return BigInt(a) & BigInt(b); + return BigInt(a) & BigInt(b); } - function bor(a, b) { - return BigInt(a) | BigInt(b); + return BigInt(a) | BigInt(b); } - function bxor(a, b) { - return BigInt(a) ^ BigInt(b); + return BigInt(a) ^ BigInt(b); } - function land(a, b) { - return BigInt(a) && BigInt(b); + return BigInt(a) && BigInt(b); } - function lor(a, b) { - return BigInt(a) || BigInt(b); + return BigInt(a) || BigInt(b); } - function lnot(a) { - return !BigInt(a); + return !BigInt(a); } - -// Returns a buffer with Little Endian Representation function toRprLE(buff, o, e, n8) { - const s = "0000000" + e.toString(16); - const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8/4); - const l = (((s.length-7)*4 - 1) >> 5)+1; // Number of 32bit words; - for (let i=0; i> 5) + 1; + for (let i = 0; i < l; i++) v[i] = parseInt(s.substring(s.length - 8 * i - 8, s.length - 8 * i), 16); + for (let i = l; i < v.length; i++) v[i] = 0; + for (let i = v.length * 4; i < n8; i++) buff[i] = toNumber(band(shiftRight(e, i * 8), 255)); } - -// Returns a buffer with Big Endian Representation function toRprBE(buff, o, e, n8) { - const s = "0000000" + e.toString(16); - const v = new DataView(buff.buffer, buff.byteOffset + o, n8); - const l = (((s.length-7)*4 - 1) >> 5)+1; // Number of 32bit words; - for (let i=0; i> 5) + 1; + for (let i = 0; i < l; i++) v.setUint32(n8 - i * 4 - 4, parseInt(s.substring(s.length - 8 * i - 8, s.length - 8 * i), 16), false); + for (let i = 0; i < n8 / 4 - l; i++) v[i] = 0; } - -// Pases a buffer with Little Endian Representation function fromRprLE(buff, o, n8) { - n8 = n8 || buff.byteLength; - o = o || 0; - const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8/4); - const a = new Array(n8/4); - v.forEach( (ch,i) => a[a.length-i-1] = ch.toString(16).padStart(8,"0") ); - return fromString(a.join(""), 16); + n8 = n8 || buff.byteLength; + o = o || 0; + const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8 / 4); + const a = new Array(n8 / 4); + v.forEach((ch, i) => a[a.length - i - 1] = ch.toString(16).padStart(8, "0")); + return fromString(a.join(""), 16); } - -// Pases a buffer with Big Endian Representation function fromRprBE(buff, o, n8) { - n8 = n8 || buff.byteLength; - o = o || 0; - const v = new DataView(buff.buffer, buff.byteOffset + o, n8); - const a = new Array(n8/4); - for (let i=0; i. -*/ - -/* - This library does operations on polynomials with coefficients in a field F. - - A polynomial P(x) = p0 + p1 * x + p2 * x^2 + ... + pn * x^n is represented - by the array [ p0, p1, p2, ... , pn ]. - */ - -class PolField { - constructor (F) { - this.F = F; - - let rem = F.sqrt_t; - let s = F.sqrt_s; - - 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.pow(five, rem); - this.wi[s] = this.F.inv(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--; - } - - - this.roots = []; -/* for (let i=0; i<16; i++) { - let r = this.F.one; - n = 1 << i; - const rootsi = new Array(n); - for (let j=0; j this.F.sqrt_s) n = this.s; - for (let i=n; (i>=0) && (!this.roots[i]); i--) { - let r = this.F.one; - const nroots = 1 << i; - const rootsi = new Array(nroots); - for (let j=0; j a.length) { - [b, a] = [a, b]; - } - - if ((b.length <= 2) || (b.length < log2$2(a.length))) { - return this.mulNormal(a,b); - } else { - return this.mulFFT(a,b); - } - } - - mulNormal(a, b) { - let res = []; - for (let i=0; i0) { - const z = new Array(n).fill(this.F.zero); - return z.concat(p); - } else { - if (-n >= p.length) return []; - return p.slice(-n); - } - } - - eval2(p, x) { - let v = this.F.zero; - let ix = this.F.one; - for (let i=0; i> 1), - F.mul( - x, - _eval(p, newX, offset+step , step << 1, n >> 1))); - return res; - } - } - - lagrange(points) { - let roots = [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= this.F.one; - for (let i=0; i0 && this.F.eq(p[i], this.F.zero) ) i--; - return p.slice(0, i+1); - } - - eq(a, b) { - const pa = this.reduce(a); - const pb = this.reduce(b); - - if (pa.length != pb.length) return false; - 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; - v |= v >> 2; - v |= v >> 4; - v |= v >> 8; - v |= v >> 16; - v++; - return v; - } - - toString(p) { - const ap = this.normalize(p); - let S = ""; - for (let i=ap.length-1; i>=0; i--) { - if (!this.F.eq(p[i], this.F.zero)) { - if (S!="") S += " + "; - S = S + p[i].toString(10); - if (i>0) { - S = S + "x"; - if (i>1) { - S = S + "^" +i; - } - } - } - } - return S; - } - - normalize(p) { - const res = new Array(p.length); - for (let i=0; i - // rec = x^(k-2-scaleV)/ v - // - // res = x^m/v = x^(m + (2*k-2 - scaleV) - (2*k-2 - scaleV)) /v => - // res = rec * x^(m - (2*k-2 - scaleV)) => - // res = rec * x^(m - 2*k + 2 + scaleV) - - const rec = this._reciprocal(this.scaleX(v, scaleV), kbits); - const res = this.scaleX(rec, m - 2*k + 2 + scaleV); - - return res; - } - - div(_u, _v) { - if (_u.length < _v.length) return []; - const kbits = log2$2(_v.length-1)+1; - const k = 1 << kbits; - - const u = this.scaleX(_u, k-_v.length); - const v = this.scaleX(_v, k-_v.length); - - const n = v.length-1; - let m = u.length-1; - - const s = this._reciprocal(v, kbits); - let t; - if (m>2*n) { - t = this.sub(this.scaleX([this.F.one], 2*n), this.mul(s, v)); - } - - let q = []; - let rem = u; - let us, ut; - let finish = false; - - while (!finish) { - us = this.mul(rem, s); - q = this.add(q, this.scaleX(us, -2*n)); - - if ( m > 2*n ) { - ut = this.mul(rem, t); - rem = this.scaleX(ut, -2*n); - m = rem.length-1; - } else { - finish = true; - } - } - - return q; - } - - - // returns the ith nth-root of one - oneRoot(n, i) { - let nbits = log2$2(n-1)+1; - let res = this.F.one; - let r = i; - - if(i>=n) { - throw new Error("Given 'i' should be lower than 'n'"); - } - else if (1<0) { - if (r & 1 == 1) { - res = this.F.mul(res, this.w[nbits]); - } - r = r >> 1; - nbits --; - } - return res; - } - - computeVanishingPolinomial(bits, t) { - const m = 1 << bits; - return this.F.sub(this.F.pow(t, m), this.F.one); - } - - evaluateLagrangePolynomials(bits, t) { - const m= 1 << bits; - const tm = this.F.pow(t, m); - const u= new Array(m).fill(this.F.zero); - this._setRoots(bits); - const omega = this.w[bits]; - - if (this.F.eq(tm, this.F.one)) { - for (let i = 0; i < m; i++) { - if (this.F.eq(this.roots[bits][0],t)) { // i.e., t equals omega^i - u[i] = this.F.one; - return u; - } - } - } - - const z = this.F.sub(tm, this.F.one); - // let l = this.F.mul(z, this.F.pow(this.F.twoinv, m)); - let l = this.F.mul(z, this.F.inv(this.F.e(m))); - for (let i = 0; i < m; i++) { - u[i] = this.F.mul(l, this.F.inv(this.F.sub(t,this.roots[bits][i]))); - l = this.F.mul(l, omega); - } - - return u; - } - - log2(V) { - return log2$2(V); - } -} - -function log2$2( 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 ) ); + const buff = new Uint8Array(Math.floor((bitLength(a) - 1) / 8) + 1); + toRprLE(buff, 0, a, buff.byteLength); + return buff; +} +var zero = e(0); +var one = e(1); +//#endregion +//#region src/polfield.js +var PolField = class { + constructor(F) { + this.F = F; + let rem = F.sqrt_t; + let s = F.sqrt_s; + 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.pow(five, rem); + this.wi[s] = this.F.inv(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--; + } + this.roots = []; + this._setRoots(15); + } + _setRoots(n) { + if (n > this.F.sqrt_s) n = this.s; + for (let i = n; i >= 0 && !this.roots[i]; i--) { + let r = this.F.one; + const nroots = 1 << i; + const rootsi = new Array(nroots); + for (let j = 0; j < nroots; j++) { + rootsi[j] = r; + r = this.F.mul(r, this.w[i]); + } + this.roots[i] = rootsi; + } + } + add(a, b) { + const m = Math.max(a.length, b.length); + const res = new Array(m); + for (let i = 0; i < m; i++) res[i] = this.F.add(a[i] || this.F.zero, b[i] || this.F.zero); + return this.reduce(res); + } + double(a) { + return this.add(a, a); + } + sub(a, b) { + const m = Math.max(a.length, b.length); + const res = new Array(m); + for (let i = 0; i < m; i++) res[i] = this.F.sub(a[i] || this.F.zero, b[i] || this.F.zero); + return this.reduce(res); + } + mulScalar(p, b) { + if (this.F.eq(b, this.F.zero)) return []; + if (this.F.eq(b, this.F.one)) return p; + const res = new Array(p.length); + for (let i = 0; i < p.length; i++) res[i] = this.F.mul(p[i], b); + return res; + } + mul(a, b) { + if (a.length == 0) return []; + if (b.length == 0) return []; + if (a.length == 1) return this.mulScalar(b, a[0]); + if (b.length == 1) return this.mulScalar(a, b[0]); + if (b.length > a.length) [b, a] = [a, b]; + if (b.length <= 2 || b.length < log2$2(a.length)) return this.mulNormal(a, b); + else return this.mulFFT(a, b); + } + mulNormal(a, b) { + let res = []; + for (let i = 0; i < b.length; i++) res = this.add(res, this.scaleX(this.mulScalar(a, b[i]), i)); + return res; + } + mulFFT(a, b) { + const bitsResult = log2$2(Math.max(a.length, b.length) - 1) + 2; + this._setRoots(bitsResult); + const m = 1 << bitsResult; + const ea = this.extend(a, m); + const eb = this.extend(b, m); + const ta = __fft$1(this, ea, bitsResult, 0, 1, false); + const tb = __fft$1(this, eb, bitsResult, 0, 1, false); + const tres = new Array(m); + for (let i = 0; i < m; i++) tres[i] = this.F.mul(ta[i], tb[i]); + const res = __fft$1(this, tres, bitsResult, 0, 1, true); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.F.mul(res[(m - i) % m], twoinvm); + return this.reduce(resn); + } + square(a) { + return this.mul(a, a); + } + scaleX(p, n) { + if (n == 0) return p; + else if (n > 0) return new Array(n).fill(this.F.zero).concat(p); + else { + if (-n >= p.length) return []; + return p.slice(-n); + } + } + eval2(p, x) { + let v = this.F.zero; + let ix = this.F.one; + for (let i = 0; i < p.length; i++) { + v = this.F.add(v, this.F.mul(p[i], ix)); + ix = this.F.mul(ix, x); + } + return v; + } + evaluate(p, x) { + const F = this.F; + if (p.length == 0) return F.zero; + const m = this._next2Power(p.length); + return _eval(this.extend(p, m), x, 0, 1, m); + function _eval(p, x, offset, step, n) { + if (n == 1) return p[offset]; + const newX = F.square(x); + return F.add(_eval(p, newX, offset, step << 1, n >> 1), F.mul(x, _eval(p, newX, offset + step, step << 1, n >> 1))); + } + } + lagrange(points) { + let roots = [this.F.one]; + for (let i = 0; i < points.length; i++) roots = this.mul(roots, [this.F.neg(points[i][0]), this.F.one]); + let sum = []; + for (let i = 0; i < points.length; i++) { + let mpol = this.ruffini(roots, points[i][0]); + const factor = this.F.mul(this.F.inv(this.evaluate(mpol, points[i][0])), points[i][1]); + mpol = this.mulScalar(mpol, factor); + sum = this.add(sum, mpol); + } + return sum; + } + fft(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + return __fft$1(this, ep, bits, 0, 1); + } + fft2(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + __bitReverse(ep, bits); + return __fft2(this, ep, bits); + } + ifft(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + const res = __fft$1(this, ep, bits, 0, 1); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.F.mul(res[(m - i) % m], twoinvm); + return resn; + } + ifft2(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + __bitReverse(ep, bits); + const res = __fft2(this, ep, bits, 0, 1); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.F.mul(res[(m - i) % m], twoinvm); + return resn; + } + _fft(pall, bits, offset, step) { + /* c8 ignore start */ + const n = 1 << bits; + if (n == 1) return [pall[offset]]; + const ndiv2 = n >> 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 = this.F.one; + for (let i = 0; i < ndiv2; i++) { + out[i] = this.F.add(p1[i], this.F.mul(m, p2[i])); + out[i + ndiv2] = this.F.sub(p1[i], this.F.mul(m, p2[i])); + m = this.F.mul(m, this.w[bits]); + } + return out; + } + /* c8 ignore stop */ + extend(p, e) { + if (e == p.length) return p; + const z = new Array(e - p.length).fill(this.F.zero); + return p.concat(z); + } + reduce(p) { + if (p.length == 0) return p; + if (!this.F.eq(p[p.length - 1], this.F.zero)) return p; + let i = p.length - 1; + while (i > 0 && this.F.eq(p[i], this.F.zero)) i--; + return p.slice(0, i + 1); + } + eq(a, b) { + const pa = this.reduce(a); + const pb = this.reduce(b); + if (pa.length != pb.length) return false; + for (let i = 0; i < pb.length; i++) if (!this.F.eq(pa[i], pb[i])) return false; + return true; + } + ruffini(p, r) { + const res = new Array(p.length - 1); + res[res.length - 1] = p[p.length - 1]; + for (let i = res.length - 2; 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; + v |= v >> 2; + v |= v >> 4; + v |= v >> 8; + v |= v >> 16; + v++; + return v; + } + toString(p) { + const ap = this.normalize(p); + let S = ""; + for (let i = ap.length - 1; i >= 0; i--) if (!this.F.eq(p[i], this.F.zero)) { + if (S != "") S += " + "; + S = S + p[i].toString(10); + if (i > 0) { + S = S + "x"; + if (i > 1) S = S + "^" + i; + } + } + return S; + } + normalize(p) { + const res = new Array(p.length); + for (let i = 0; i < p.length; i++) res[i] = this.F.normalize(p[i]); + return res; + } + _reciprocal(p, bits) { + const k = 1 << bits; + if (k == 1) return [this.F.inv(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)); + } + _div2(m, v) { + const kbits = log2$2(v.length - 1) + 1; + const k = 1 << kbits; + const scaleV = k - v.length; + const rec = this._reciprocal(this.scaleX(v, scaleV), kbits); + return this.scaleX(rec, m - 2 * k + 2 + scaleV); + } + div(_u, _v) { + if (_u.length < _v.length) return []; + const kbits = log2$2(_v.length - 1) + 1; + const k = 1 << kbits; + const u = this.scaleX(_u, k - _v.length); + const v = this.scaleX(_v, k - _v.length); + const n = v.length - 1; + let m = u.length - 1; + const s = this._reciprocal(v, kbits); + let t; + if (m > 2 * n) t = this.sub(this.scaleX([this.F.one], 2 * n), this.mul(s, v)); + let q = []; + let rem = u; + let us, ut; + let finish = false; + while (!finish) { + us = this.mul(rem, s); + q = this.add(q, this.scaleX(us, -2 * n)); + if (m > 2 * n) { + ut = this.mul(rem, t); + rem = this.scaleX(ut, -2 * n); + m = rem.length - 1; + } else finish = true; + } + return q; + } + oneRoot(n, i) { + let nbits = log2$2(n - 1) + 1; + let res = this.F.one; + let r = i; + if (i >= n) throw new Error("Given 'i' should be lower than 'n'"); + else if (1 << nbits !== n) + /* c8 ignore start */ + throw new Error(`Internal errlr: ${n} should equal ${1 << nbits}`); + /* c8 ignore stop */ + while (r > 0) { + if (r & true) res = this.F.mul(res, this.w[nbits]); + r = r >> 1; + nbits--; + } + return res; + } + computeVanishingPolinomial(bits, t) { + const m = 1 << bits; + return this.F.sub(this.F.pow(t, m), this.F.one); + } + evaluateLagrangePolynomials(bits, t) { + const m = 1 << bits; + const tm = this.F.pow(t, m); + const u = new Array(m).fill(this.F.zero); + this._setRoots(bits); + const omega = this.w[bits]; + if (this.F.eq(tm, this.F.one)) { + /* c8 ignore start */ + for (let i = 0; i < m; i++) if (this.F.eq(this.roots[bits][0], t)) { + u[i] = this.F.one; + return u; + } + } + /* c8 ignore stop */ + const z = this.F.sub(tm, this.F.one); + let l = this.F.mul(z, this.F.inv(this.F.e(m))); + for (let i = 0; i < m; i++) { + u[i] = this.F.mul(l, this.F.inv(this.F.sub(t, this.roots[bits][i]))); + l = this.F.mul(l, omega); + } + return u; + } + log2(V) { + /* c8 ignore start */ + return log2$2(V); + } +}; +function log2$2(V) { + return ((V & 4294901760) !== 0 ? (V &= 4294901760, 16) : 0) | ((V & 4278255360) !== 0 ? (V &= 4278255360, 8) : 0) | ((V & 4042322160) !== 0 ? (V &= 4042322160, 4) : 0) | ((V & 3435973836) !== 0 ? (V &= 3435973836, 2) : 0) | (V & 2863311530) !== 0; } - - function __fft$1(PF, pall, bits, offset, step) { - - const n = 1 << bits; - if (n==1) { - return [ pall[offset] ]; - } else if (n==2) { - return [ - PF.F.add(pall[offset], pall[offset + step]), - PF.F.sub(pall[offset], pall[offset + step])]; - } - - const ndiv2 = n >> 1; - const p1 = __fft$1(PF, pall, bits-1, offset, step*2); - const p2 = __fft$1(PF, pall, bits-1, offset+step, step*2); - - const out = new Array(n); - - for (let i=0; i> 1; + const p1 = __fft$1(PF, pall, bits - 1, offset, step * 2); + const p2 = __fft$1(PF, pall, bits - 1, offset + step, step * 2); + const out = new Array(n); + for (let i = 0; i < ndiv2; i++) { + out[i] = PF.F.add(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + out[i + ndiv2] = PF.F.sub(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + } + return out; } - - function __fft2(PF, pall, bits) { - - const n = 1 << bits; - if (n==1) { - return [ pall[0] ]; - } - - const ndiv2 = n >> 1; - const p1 = __fft2(PF, pall.slice(0, ndiv2), bits-1); - const p2 = __fft2(PF, pall.slice(ndiv2), bits-1); - - const out = new Array(n); - - for (let i=0; i> 1; + const p1 = __fft2(PF, pall.slice(0, ndiv2), bits - 1); + const p2 = __fft2(PF, pall.slice(ndiv2), bits - 1); + const out = new Array(n); + for (let i = 0; i < ndiv2; i++) { + out[i] = PF.F.add(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + out[i + ndiv2] = PF.F.sub(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + } + return out; +} +var _revTable$1 = []; +for (let i = 0; i < 256; i++) _revTable$1[i] = _revSlow$1(i, 8); function _revSlow$1(idx, bits) { - let res =0; - let a = idx; - for (let i=0; i>=1; - } - return res; + let res = 0; + let a = idx; + for (let i = 0; i < bits; i++) { + res <<= 1; + res = res | a & 1; + a >>= 1; + } + return res; } - function rev(idx, bits) { - return ( - _revTable$1[idx >>> 24] | - (_revTable$1[(idx >>> 16) & 0xFF] << 8) | - (_revTable$1[(idx >>> 8) & 0xFF] << 16) | - (_revTable$1[idx & 0xFF] << 24) - ) >>> (32-bits); + return (_revTable$1[idx >>> 24] | _revTable$1[idx >>> 16 & 255] << 8 | _revTable$1[idx >>> 8 & 255] << 16 | _revTable$1[idx & 255] << 24) >>> 32 - bits; } - function __bitReverse(p, bits) { - for (let k=0; kk) { - const tmp= p[k]; - p[k] = p[r]; - p[r] = tmp; - } - } - -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - - + for (let k = 0; k < p.length; k++) { + const r = rev(k, bits); + if (r > k) { + const tmp = p[k]; + p[k] = p[r]; + p[r] = tmp; + } + } +} +//#endregion +//#region src/futils.js function mulScalar(F, base, e) { - let res; - - if (isZero$1(e)) return F.zero; - - const n = naf(e); - - if (n[n.length-1] == 1) { - res = base; - } else if (n[n.length-1] == -1) { - res = F.neg(base); - } else { - throw new Error("invlaud NAF"); - } - - for (let i=n.length-2; i>=0; i--) { - - res = F.double(res); - - if (n[i] == 1) { - res = F.add(res, base); - } else if (n[i] == -1) { - res = F.sub(res, base); - } - } - - return res; + let res; + if (isZero(e)) return F.zero; + const n = naf(e); + if (n[n.length - 1] == 1) res = base; + else if (n[n.length - 1] == -1) + /* c8 ignore start */ + res = F.neg(base); + else throw new Error("invlaud NAF"); + /* c8 ignore stop */ + for (let i = n.length - 2; i >= 0; i--) { + res = F.double(res); + if (n[i] == 1) res = F.add(res, base); + else if (n[i] == -1) res = F.sub(res, base); + } + return res; } - - -/* -exports.mulScalar = (F, base, e) =>{ - let res = F.zero; - let rem = bigInt(e); - let exp = base; - - while (! rem.eq(bigInt.zero)) { - if (rem.and(bigInt.one).eq(bigInt.one)) { - res = F.add(res, exp); - } - exp = F.double(exp); - rem = rem.shiftRight(1); - } - - return res; -}; -*/ - - function exp(F, base, e) { - - if (isZero$1(e)) return F.one; - - const n = bits(e); - - if (n.length==0) return F.one; - - let res = base; - - for (let i=n.length-2; i>=0; i--) { - - res = F.square(res); - - if (n[i]) { - res = F.mul(res, base); - } - } - - return res; -} - -// Check here: https://eprint.iacr.org/2012/685.pdf - -function buildSqrt (F) { - if ((F.m % 2) == 1) { - if (eq(mod(F.p, 4), 1 )) { - if (eq(mod(F.p, 8), 1 )) { - if (eq(mod(F.p, 16), 1 )) { - // alg7_muller(F); - alg5_tonelliShanks(F); - } else if (eq(mod(F.p, 16), 9 )) { - alg4_kong(F); - } else { - throw new Error("Field withot sqrt"); - } - } else if (eq(mod(F.p, 8), 5 )) { - alg3_atkin(F); - } else { - throw new Error("Field withot sqrt"); - } - } else if (eq(mod(F.p, 4), 3 )) { - alg2_shanks(F); - } - } else { - const pm2mod4 = mod(pow(F.p, F.m/2), 4); - if (pm2mod4 == 1) { - alg10_adj(F); - } else if (pm2mod4 == 3) { - alg9_adj(F); - } else { - alg8_complex(F); - } - - } + if (isZero(e)) return F.one; + const n = bits(e); + if (n.length == 0) return F.one; + let res = base; + for (let i = n.length - 2; i >= 0; i--) { + res = F.square(res); + if (n[i]) res = F.mul(res, base); + } + return res; +} +//#endregion +//#region src/fsqrt.js +function buildSqrt(F) { + if (F.m % 2 == 1) { + if (eq(mod(F.p, 4), 1)) if (eq(mod(F.p, 8), 1)) if (eq(mod(F.p, 16), 1)) alg5_tonelliShanks(F); + else if (eq(mod(F.p, 16), 9)) alg4_kong(F); + else + /* c8 ignore start */ + throw new Error("Field withot sqrt"); + else if (eq(mod(F.p, 8), 5)) alg3_atkin(F); + else + /* c8 ignore start */ + throw new Error("Field withot sqrt"); + else if (eq(mod(F.p, 4), 3)) alg2_shanks(F); + } else { + const pm2mod4 = mod(pow(F.p, F.m / 2), 4); + if (pm2mod4 == 1) alg10_adj(F); + else if (pm2mod4 == 3) alg9_adj(F); + else + /* c8 ignore start */ + alg8_complex(F); + } } - - function alg5_tonelliShanks(F) { - F.sqrt_q = pow(F.p, F.m); - - F.sqrt_s = 0; - F.sqrt_t = sub(F.sqrt_q, 1); - - while (!isOdd$5(F.sqrt_t)) { - F.sqrt_s = F.sqrt_s + 1; - F.sqrt_t = div(F.sqrt_t, 2); - } - - let c0 = F.one; - - while (F.eq(c0, F.one)) { - const c = F.random(); - F.sqrt_z = F.pow(c, F.sqrt_t); - c0 = F.pow(F.sqrt_z, 2 ** (F.sqrt_s-1) ); - } - - F.sqrt_tm1d2 = div(sub(F.sqrt_t, 1),2); - - F.sqrt = function(a) { - const F=this; - if (F.isZero(a)) return F.zero; - let w = F.pow(a, F.sqrt_tm1d2); - const a0 = F.pow( F.mul(F.square(w), a), 2 ** (F.sqrt_s-1) ); - if (F.eq(a0, F.negone)) return null; - - let v = F.sqrt_s; - let x = F.mul(a, w); - let b = F.mul(x, w); - let z = F.sqrt_z; - while (!F.eq(b, F.one)) { - let b2k = F.square(b); - let k=1; - while (!F.eq(b2k, F.one)) { - b2k = F.square(b2k); - k++; - } - - w = z; - for (let i=0; i>> 0; - st[d] = (st[d] ^ st[a]) >>> 0; - st[d] = ((st[d] << 16) | ((st[d]>>>16) & 0xFFFF)) >>> 0; - - st[c] = (st[c] + st[d]) >>> 0; - st[b] = (st[b] ^ st[c]) >>> 0; - st[b] = ((st[b] << 12) | ((st[b]>>>20) & 0xFFF)) >>> 0; - - st[a] = (st[a] + st[b]) >>> 0; - st[d] = (st[d] ^ st[a]) >>> 0; - st[d] = ((st[d] << 8) | ((st[d]>>>24) & 0xFF)) >>> 0; - - st[c] = (st[c] + st[d]) >>> 0; - st[b] = (st[b] ^ st[c]) >>> 0; - st[b] = ((st[b] << 7) | ((st[b]>>>25) & 0x7F)) >>> 0; + st[a] = st[a] + st[b] >>> 0; + st[d] = (st[d] ^ st[a]) >>> 0; + st[d] = (st[d] << 16 | st[d] >>> 16 & 65535) >>> 0; + st[c] = st[c] + st[d] >>> 0; + st[b] = (st[b] ^ st[c]) >>> 0; + st[b] = (st[b] << 12 | st[b] >>> 20 & 4095) >>> 0; + st[a] = st[a] + st[b] >>> 0; + st[d] = (st[d] ^ st[a]) >>> 0; + st[d] = (st[d] << 8 | st[d] >>> 24 & 255) >>> 0; + st[c] = st[c] + st[d] >>> 0; + st[b] = (st[b] ^ st[c]) >>> 0; + st[b] = (st[b] << 7 | st[b] >>> 25 & 127) >>> 0; } - function doubleRound(st) { - quarterRound(st, 0, 4, 8,12); - quarterRound(st, 1, 5, 9,13); - quarterRound(st, 2, 6,10,14); - quarterRound(st, 3, 7,11,15); - - quarterRound(st, 0, 5,10,15); - quarterRound(st, 1, 6,11,12); - quarterRound(st, 2, 7, 8,13); - quarterRound(st, 3, 4, 9,14); -} - -class ChaCha { - - constructor(seed) { - seed = seed || [0,0,0,0,0,0,0,0]; - this.state = [ - 0x61707865, - 0x3320646E, - 0x79622D32, - 0x6B206574, - seed[0], - seed[1], - seed[2], - seed[3], - seed[4], - seed[5], - seed[6], - seed[7], - 0, - 0, - 0, - 0 - ]; - this.idx = 16; - this.buff = new Array(16); - } - - nextU32() { - if (this.idx == 16) this.update(); - return this.buff[this.idx++]; - } - - nextU64() { - return add(mul(this.nextU32(), 0x100000000), this.nextU32()); - } - - nextBool() { - return (this.nextU32() & 1) == 1; - } - - update() { - // Copy the state - for (let i=0; i<16; i++) this.buff[i] = this.state[i]; - - // Apply the rounds - for (let i=0; i<10; i++) doubleRound(this.buff); - - // Add to the initial - for (let i=0; i<16; i++) this.buff[i] = (this.buff[i] + this.state[i]) >>> 0; - - this.idx = 0; - - this.state[12] = (this.state[12] + 1) >>> 0; - if (this.state[12] != 0) return; - this.state[13] = (this.state[13] + 1) >>> 0; - if (this.state[13] != 0) return; - this.state[14] = (this.state[14] + 1) >>> 0; - if (this.state[14] != 0) return; - this.state[15] = (this.state[15] + 1) >>> 0; - } -} - + quarterRound(st, 0, 4, 8, 12); + quarterRound(st, 1, 5, 9, 13); + quarterRound(st, 2, 6, 10, 14); + quarterRound(st, 3, 7, 11, 15); + quarterRound(st, 0, 5, 10, 15); + quarterRound(st, 1, 6, 11, 12); + quarterRound(st, 2, 7, 8, 13); + quarterRound(st, 3, 4, 9, 14); +} +var ChaCha = class { + constructor(seed) { + seed = seed || [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ]; + this.state = [ + 1634760805, + 857760878, + 2036477234, + 1797285236, + seed[0], + seed[1], + seed[2], + seed[3], + seed[4], + seed[5], + seed[6], + seed[7], + 0, + 0, + 0, + 0 + ]; + this.idx = 16; + this.buff = new Array(16); + } + nextU32() { + if (this.idx == 16) this.update(); + return this.buff[this.idx++]; + } + nextU64() { + return add(mul(this.nextU32(), 4294967296), this.nextU32()); + } + nextBool() { + return (this.nextU32() & 1) == 1; + } + update() { + for (let i = 0; i < 16; i++) this.buff[i] = this.state[i]; + for (let i = 0; i < 10; i++) doubleRound(this.buff); + for (let i = 0; i < 16; i++) this.buff[i] = this.buff[i] + this.state[i] >>> 0; + this.idx = 0; + this.state[12] = this.state[12] + 1 >>> 0; + if (this.state[12] != 0) return; + /* c8 ignore start */ + this.state[13] = this.state[13] + 1 >>> 0; + if (this.state[13] != 0) return; + this.state[14] = this.state[14] + 1 >>> 0; + if (this.state[14] != 0) return; + this.state[15] = this.state[15] + 1 >>> 0; + /* c8 ignore stop */ + } +}; +//#endregion +//#region src/random.js +var import___vite_browser_external = /* @__PURE__ */ __toESM((/* @__PURE__ */ __commonJSMin(((exports, module) => { + module.exports = {}; +})))(), 1); function getRandomBytes(n) { - let array = new Uint8Array(n); - { // Browser - if (typeof globalThis.crypto !== "undefined") { // Supported - globalThis.crypto.getRandomValues(array); - } else { // fallback - for (let i=0; i>>0; - } - } - } - return array; + let array = new Uint8Array(n); + if (import___vite_browser_external.default && import___vite_browser_external.default.randomFillSync) import___vite_browser_external.default.randomFillSync(array); + else if (typeof globalThis.crypto !== "undefined" && globalThis.crypto.getRandomValues) for (let i = 0; i < n; i += 65536) globalThis.crypto.getRandomValues(array.subarray(i, Math.min(i + 65536, n))); + else for (let i = 0; i < n; i++) array[i] = Math.random() * 4294967296 >>> 0; + return array; } - function getRandomSeed() { - const arr = getRandomBytes(32); - const arrV = new Uint32Array(arr.buffer); - const seed = []; - for (let i=0; i<8; i++) { - seed.push(arrV[i]); - } - return seed; + const arr = getRandomBytes(32); + const arrV = new Uint32Array(arr.buffer); + const seed = []; + for (let i = 0; i < 8; i++) seed.push(arrV[i]); + return seed; } - -let threadRng = null; - +var threadRng = null; function getThreadRng() { - if (threadRng) return threadRng; - threadRng = new ChaCha(getRandomSeed()); - return threadRng; -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - -/* - This library does operations on polynomials with coefficients in a field F. - - A polynomial P(x) = p0 + p1 * x + p2 * x^2 + ... + pn * x^n is represented - by the array [ p0, p1, p2, ... , pn ]. - */ - -class FFT { - constructor (G, F, opMulGF) { - this.F = F; - this.G = G; - this.opMulGF = opMulGF; - - let rem = F.sqrt_t || F.t; - let s = F.sqrt_s || F.s; - - let nqr = F.one; - while (F.eq(F.pow(nqr, F.half), F.one)) nqr = F.add(nqr, F.one); - - this.w = new Array(s+1); - this.wi = new Array(s+1); - this.w[s] = this.F.pow(nqr, rem); - this.wi[s] = this.F.inv(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--; - } - - - this.roots = []; - /* - for (let i=0; i<16; i++) { - let r = this.F.one; - n = 1 << i; - const rootsi = new Array(n); - for (let j=0; j=0) && (!this.roots[i]); i--) { - let r = this.F.one; - const nroots = 1 << i; - const rootsi = new Array(nroots); - for (let j=0; j> 1; - const p1 = __fft(PF, pall, bits-1, offset, step*2); - const p2 = __fft(PF, pall, bits-1, offset+step, step*2); - - const out = new Array(n); - - for (let i=0; i> this.one; - this.bitLength = bitLength$6(this.p); - this.mask = (this.one << BigInt(this.bitLength)) - this.one; - - this.n64 = Math.floor((this.bitLength - 1) / 64)+1; - this.n32 = this.n64*2; - this.n8 = this.n64*8; - this.R = this.e(this.one << BigInt(this.n64*64)); - this.Ri = this.inv(this.R); - - const e = this.negone >> this.one; - this.nqr = this.two; - let r = this.pow(this.nqr, e); - while (!this.eq(r, this.negone)) { - this.nqr = this.nqr + this.one; - r = this.pow(this.nqr, e); - } - - - this.s = 0; - this.t = this.negone; - - while ((this.t & this.one) == this.zero) { - this.s = this.s + 1; - this.t = this.t >> this.one; - } - - this.nqr_to_t = this.pow(this.nqr, this.t); - - buildSqrt(this); - - this.FFT = new FFT(this, this, this.mul.bind(this)); - - this.fft = this.FFT.fft.bind(this.FFT); - this.ifft = this.FFT.ifft.bind(this.FFT); - this.w = this.FFT.w; - this.wi = this.FFT.wi; - - this.shift = this.square(this.nqr); - this.k = this.exp(this.nqr, 2**this.s); - } - - e(a,b) { - let res; - if (!b) { - res = BigInt(a); - } else if (b==16) { - res = BigInt("0x"+a); - } - if (res < 0) { - let nres = -res; - if (nres >= this.p) nres = nres % this.p; - return this.p - nres; - } else { - return (res>= this.p) ? res%this.p : res; - } - - } - - add(a, b) { - const res = a + b; - return res >= this.p ? res-this.p : res; - } - - sub(a, b) { - return (a >= b) ? a-b : this.p-b+a; - } - - neg(a) { - return a ? this.p-a : a; - } - - mul(a, b) { - return (a*b)%this.p; - } - - mulScalar(base, s) { - return (base * this.e(s)) % this.p; - } - - square(a) { - return (a*a) % this.p; - } - - eq(a, b) { - return a==b; - } - - neq(a, b) { - return a!=b; - } - - lt(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa < bb; - } - - gt(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa > bb; - } - - leq(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa <= bb; - } - - geq(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa >= bb; - } - - div(a, b) { - return this.mul(a, this.inv(b)); - } - - idiv(a, b) { - if (!b) throw new Error("Division by zero"); - return a / b; - } - - inv(a) { - if (!a) throw new Error("Division by zero"); - - let t = this.zero; - let r = this.p; - let newt = this.one; - let newr = a % this.p; - while (newr) { - let q = r/newr; - [t, newt] = [newt, t-q*newt]; - [r, newr] = [newr, r-q*newr]; - } - if (t= this.p ? res-this.p : res; - } - - bor(a, b) { - const res = ((a | b) & this.mask); - return res >= this.p ? res-this.p : res; - } - - bxor(a, b) { - const res = ((a ^ b) & this.mask); - return res >= this.p ? res-this.p : res; - } - - bnot(a) { - const res = a ^ this.mask; - return res >= this.p ? res-this.p : res; - } - - shl(a, b) { - if (Number(b) < this.bitLength) { - const res = (a << b) & this.mask; - return res >= this.p ? res-this.p : res; - } else { - const nb = this.p - b; - if (Number(nb) < this.bitLength) { - return a >> nb; - } else { - return this.zero; - } - } - } - - shr(a, b) { - if (Number(b) < this.bitLength) { - return a >> b; - } else { - const nb = this.p - b; - if (Number(nb) < this.bitLength) { - const res = (a << nb) & this.mask; - return res >= this.p ? res-this.p : res; - } else { - return 0; - } - } - } - - land(a, b) { - return (a && b) ? this.one : this.zero; - } - - lor(a, b) { - return (a || b) ? this.one : this.zero; - } - - lnot(a) { - return (a) ? this.zero : this.one; - } - - sqrt_old(n) { - - if (n == this.zero) return this.zero; - - // Test that have solution - const res = this.pow(n, this.negone >> this.one); - if ( res != this.one ) return null; - - let m = this.s; - let c = this.nqr_to_t; - let t = this.pow(n, this.t); - let r = this.pow(n, this.add(this.t, this.one) >> this.one ); - - while ( t != this.one ) { - let sq = this.square(t); - let i = 1; - while (sq != this.one ) { - i++; - sq = this.square(sq); - } - - // b = c ^ m-i-1 - let b = c; - for (let j=0; j< m-i-1; j ++) b = this.square(b); - - m = i; - c = this.square(b); - t = this.mul(t, c); - r = this.mul(r, b); - } - - if (r > (this.p >> this.one)) { - r = this.neg(r); - } - - return r; - } - - normalize(a, b) { - a = BigInt(a,b); - if (a < 0) { - let na = -a; - if (na >= this.p) na = na % this.p; - return this.p - na; - } else { - return (a>= this.p) ? a%this.p : a; - } - } - - random() { - const nBytes = (this.bitLength*2 / 8); - let res =this.zero; - for (let i=0; i this.half)&&(base == 10)) { - const v = this.p-a; - vs = "-"+v.toString(base); - } else { - vs = a.toString(base); - } - return vs; - } - - isZero(a) { - return a == this.zero; - } - - fromRng(rng) { - let v; - do { - v=this.zero; - for (let i=0; i= this.p); - v = (v * this.Ri) % this.p; // Convert from montgomery - return v; - } - - fft(a) { - return this.FFT.fft(a); - } - - ifft(a) { - return this.FFT.ifft(a); - } - - // Returns a buffer with Little Endian Representation - toRprLE(buff, o, e) { - toRprLE(buff, o, e, this.n64*8); - } - - // Returns a buffer with Big Endian Representation - toRprBE(buff, o, e) { - toRprBE(buff, o, e, this.n64*8); - } - - // Returns a buffer with Big Endian Montgomery Representation - toRprBEM(buff, o, e) { - return this.toRprBE(buff, o, this.mul(this.R, e)); - } - - toRprLEM(buff, o, e) { - return this.toRprLE(buff, o, this.mul(this.R, e)); - } - - - // Pases a buffer with Little Endian Representation - fromRprLE(buff, o) { - return fromRprLE(buff, o, this.n8); - } - - // Pases a buffer with Big Endian Representation - fromRprBE(buff, o) { - return fromRprBE(buff, o, this.n8); - } - - fromRprLEM(buff, o) { - return this.mul(this.fromRprLE(buff, o), this.Ri); - } - - fromRprBEM(buff, o) { - return this.mul(this.fromRprBE(buff, o), this.Ri); - } - - toObject(a) { - return a; - } -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - -class F2Field { - constructor(F, nonResidue) { - this.type="F2"; - this.F = F; - this.zero = [this.F.zero, this.F.zero]; - this.one = [this.F.one, this.F.zero]; - this.negone = this.neg(this.one); - this.nonResidue = nonResidue; - this.m = F.m*2; - this.p = F.p; - this.n64 = F.n64*2; - this.n32 = this.n64*2; - this.n8 = this.n64*8; - - buildSqrt(this); - } - - _mulByNonResidue(a) { - return this.F.mul(this.nonResidue, a); - } - - copy(a) { - return [this.F.copy(a[0]), this.F.copy(a[1])]; - } - - add(a, b) { - return [ - this.F.add(a[0], b[0]), - this.F.add(a[1], b[1]) - ]; - } - - double(a) { - return this.add(a,a); - } - - sub(a, b) { - return [ - this.F.sub(a[0], b[0]), - this.F.sub(a[1], b[1]) - ]; - } - - neg(a) { - return this.sub(this.zero, a); - } - - conjugate(a) { - return [ - a[0], - this.F.neg(a[1]) - ]; - } - - mul(a, b) { - const aA = this.F.mul(a[0] , b[0]); - const bB = this.F.mul(a[1] , b[1]); - - return [ - this.F.add( aA , this._mulByNonResidue(bB)), - this.F.sub( - this.F.mul( - this.F.add(a[0], a[1]), - this.F.add(b[0], b[1])), - this.F.add(aA, bB))]; - } - - inv(a) { - const t0 = this.F.square(a[0]); - const t1 = this.F.square(a[1]); - const t2 = this.F.sub(t0, this._mulByNonResidue(t1)); - const t3 = this.F.inv(t2); - return [ - this.F.mul(a[0], t3), - this.F.neg(this.F.mul( a[1], t3)) ]; - } - - div(a, b) { - return this.mul(a, this.inv(b)); - } - - square(a) { - const ab = this.F.mul(a[0] , a[1]); - - /* - [ - (a + b) * (a + non_residue * b) - ab - non_residue * ab, - ab + ab - ]; - */ - - return [ - this.F.sub( - this.F.mul( - this.F.add(a[0], a[1]) , - this.F.add( - a[0] , - this._mulByNonResidue(a[1]))), - this.F.add( - ab, - this._mulByNonResidue(ab))), - this.F.add(ab, ab) - ]; - } - - isZero(a) { - return this.F.isZero(a[0]) && this.F.isZero(a[1]); - } - - eq(a, b) { - return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]); - } - - mulScalar(base, e) { - return mulScalar(this, base, e); - } - - pow(base, e) { - return exp(this, base, e); - } - - exp(base, e) { - return exp(this, base, e); - } - - toString(a) { - return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])} ]`; - } - - fromRng(rng) { - const c0 = this.F.fromRng(rng); - const c1 = this.F.fromRng(rng); - return [c0, c1]; - } - - gt(a, b) { - if (this.F.gt(a[0], b[0])) return true; - if (this.F.gt(b[0], a[0])) return false; - if (this.F.gt(a[1], b[1])) return true; - return false; - } - - geq(a, b) { - return this.gt(a, b) || this.eq(a, b); - } - - lt(a, b) { - return !this.geq(a,b); - } - - leq(a, b) { - return !this.gt(a,b); - } - - neq(a, b) { - return !this.eq(a,b); - } - - random() { - return [this.F.random(), this.F.random()]; - } - - - toRprLE(buff, o, e) { - this.F.toRprLE(buff, o, e[0]); - this.F.toRprLE(buff, o+this.F.n8, e[1]); - } - - toRprBE(buff, o, e) { - this.F.toRprBE(buff, o, e[1]); - this.F.toRprBE(buff, o+this.F.n8, e[0]); - } - - toRprLEM(buff, o, e) { - this.F.toRprLEM(buff, o, e[0]); - this.F.toRprLEM(buff, o+this.F.n8, e[1]); - } - - - toRprBEM(buff, o, e) { - this.F.toRprBEM(buff, o, e[1]); - this.F.toRprBEM(buff, o+this.F.n8, e[0]); - } - - fromRprLE(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLE(buff, o); - const c1 = this.F.fromRprLE(buff, o+this.F.n8); - return [c0, c1]; - } - - fromRprBE(buff, o) { - o = o || 0; - const c1 = this.F.fromRprBE(buff, o); - const c0 = this.F.fromRprBE(buff, o+this.F.n8); - return [c0, c1]; - } - - fromRprLEM(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLEM(buff, o); - const c1 = this.F.fromRprLEM(buff, o+this.F.n8); - return [c0, c1]; - } - - fromRprBEM(buff, o) { - o = o || 0; - const c1 = this.F.fromRprBEM(buff, o); - const c0 = this.F.fromRprBEM(buff, o+this.F.n8); - return [c0, c1]; - } - - toObject(a) { - return a; - } - -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - -class F3Field { - constructor(F, nonResidue) { - this.type="F3"; - this.F = F; - this.zero = [this.F.zero, this.F.zero, this.F.zero]; - this.one = [this.F.one, this.F.zero, this.F.zero]; - this.negone = this.neg(this.one); - this.nonResidue = nonResidue; - this.m = F.m*3; - this.p = F.p; - this.n64 = F.n64*3; - this.n32 = this.n64*2; - this.n8 = this.n64*8; - } - - _mulByNonResidue(a) { - return this.F.mul(this.nonResidue, a); - } - - copy(a) { - return [this.F.copy(a[0]), this.F.copy(a[1]), this.F.copy(a[2])]; - } - - add(a, b) { - return [ - this.F.add(a[0], b[0]), - this.F.add(a[1], b[1]), - this.F.add(a[2], b[2]) - ]; - } - - double(a) { - return this.add(a,a); - } - - sub(a, b) { - return [ - this.F.sub(a[0], b[0]), - this.F.sub(a[1], b[1]), - this.F.sub(a[2], b[2]) - ]; - } - - neg(a) { - return this.sub(this.zero, a); - } - - mul(a, b) { - - const aA = this.F.mul(a[0] , b[0]); - const bB = this.F.mul(a[1] , b[1]); - const cC = this.F.mul(a[2] , b[2]); - - return [ - this.F.add( - aA, - this._mulByNonResidue( - this.F.sub( - this.F.mul( - this.F.add(a[1], a[2]), - this.F.add(b[1], b[2])), - this.F.add(bB, cC)))), // aA + non_residue*((b+c)*(B+C)-bB-cC), - - this.F.add( - this.F.sub( - this.F.mul( - this.F.add(a[0], a[1]), - this.F.add(b[0], b[1])), - this.F.add(aA, bB)), - this._mulByNonResidue( cC)), // (a+b)*(A+B)-aA-bB+non_residue*cC - - this.F.add( - this.F.sub( - this.F.mul( - this.F.add(a[0], a[2]), - this.F.add(b[0], b[2])), - this.F.add(aA, cC)), - bB)]; // (a+c)*(A+C)-aA+bB-cC) - } - - inv(a) { - const t0 = this.F.square(a[0]); // t0 = a^2 ; - const t1 = this.F.square(a[1]); // t1 = b^2 ; - const t2 = this.F.square(a[2]); // t2 = c^2; - const t3 = this.F.mul(a[0],a[1]); // t3 = ab - const t4 = this.F.mul(a[0],a[2]); // t4 = ac - const t5 = this.F.mul(a[1],a[2]); // t5 = bc; - // c0 = t0 - non_residue * t5; - const c0 = this.F.sub(t0, this._mulByNonResidue(t5)); - // c1 = non_residue * t2 - t3; - const c1 = this.F.sub(this._mulByNonResidue(t2), t3); - const c2 = this.F.sub(t1, t4); // c2 = t1-t4 - - // t6 = (a * c0 + non_residue * (c * c1 + b * c2)).inv(); - const t6 = - this.F.inv( - this.F.add( - this.F.mul(a[0], c0), - this._mulByNonResidue( - this.F.add( - this.F.mul(a[2], c1), - this.F.mul(a[1], c2))))); - - return [ - this.F.mul(t6, c0), // t6*c0 - this.F.mul(t6, c1), // t6*c1 - this.F.mul(t6, c2)]; // t6*c2 - } - - div(a, b) { - return this.mul(a, this.inv(b)); - } - - square(a) { - const s0 = this.F.square(a[0]); // s0 = a^2 - const ab = this.F.mul(a[0], a[1]); // ab = a*b - const s1 = this.F.add(ab, ab); // s1 = 2ab; - const s2 = this.F.square( - this.F.add(this.F.sub(a[0],a[1]), a[2])); // s2 = (a - b + c)^2; - const bc = this.F.mul(a[1],a[2]); // bc = b*c - const s3 = this.F.add(bc, bc); // s3 = 2*bc - const s4 = this.F.square(a[2]); // s4 = c^2 - - - return [ - this.F.add( - s0, - this._mulByNonResidue(s3)), // s0 + non_residue * s3, - this.F.add( - s1, - this._mulByNonResidue(s4)), // s1 + non_residue * s4, - this.F.sub( - this.F.add( this.F.add(s1, s2) , s3 ), - this.F.add(s0, s4))]; // s1 + s2 + s3 - s0 - s4 - } - - isZero(a) { - return this.F.isZero(a[0]) && this.F.isZero(a[1]) && this.F.isZero(a[2]); - } - - eq(a, b) { - return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]) && this.F.eq(a[2], b[2]); - } - - affine(a) { - return [this.F.affine(a[0]), this.F.affine(a[1]), this.F.affine(a[2])]; - } - - mulScalar(base, e) { - return mulScalar(this, base, e); - } - - pow(base, e) { - return exp(this, base, e); - } - - exp(base, e) { - return exp(this, base, e); - } - - toString(a) { - return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])}, ${this.F.toString(a[2])} ]`; - } - - fromRng(rng) { - const c0 = this.F.fromRng(rng); - const c1 = this.F.fromRng(rng); - const c2 = this.F.fromRng(rng); - return [c0, c1, c2]; - } - - gt(a, b) { - if (this.F.gt(a[0], b[0])) return true; - if (this.F.gt(b[0], a[0])) return false; - if (this.F.gt(a[1], b[1])) return true; - if (this.F.gt(b[1], a[1])) return false; - if (this.F.gt(a[2], b[2])) return true; - return false; - } - - - geq(a, b) { - return this.gt(a, b) || this.eq(a, b); - } - - lt(a, b) { - return !this.geq(a,b); - } - - leq(a, b) { - return !this.gt(a,b); - } - - neq(a, b) { - return !this.eq(a,b); - } - - random() { - return [this.F.random(), this.F.random(), this.F.random()]; - } - - - toRprLE(buff, o, e) { - this.F.toRprLE(buff, o, e[0]); - this.F.toRprLE(buff, o+this.F.n8, e[1]); - this.F.toRprLE(buff, o+this.F.n8*2, e[2]); - } - - toRprBE(buff, o, e) { - this.F.toRprBE(buff, o, e[2]); - this.F.toRprBE(buff, o+this.F.n8, e[1]); - this.F.toRprBE(buff, o+this.F.n8*2, e[0]); - } - - toRprLEM(buff, o, e) { - this.F.toRprLEM(buff, o, e[0]); - this.F.toRprLEM(buff, o+this.F.n8, e[1]); - this.F.toRprLEM(buff, o+this.F.n8*2, e[2]); - } - - - toRprBEM(buff, o, e) { - this.F.toRprBEM(buff, o, e[2]); - this.F.toRprBEM(buff, o+this.F.n8, e[1]); - this.F.toRprBEM(buff, o+this.F.n8*2, e[0]); - } - - fromRprLE(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLE(buff, o); - const c1 = this.F.fromRprLE(buff, o+this.n8); - const c2 = this.F.fromRprLE(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - fromRprBE(buff, o) { - o = o || 0; - const c2 = this.F.fromRprBE(buff, o); - const c1 = this.F.fromRprBE(buff, o+this.n8); - const c0 = this.F.fromRprBE(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - fromRprLEM(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLEM(buff, o); - const c1 = this.F.fromRprLEM(buff, o+this.n8); - const c2 = this.F.fromRprLEM(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - fromRprBEM(buff, o) { - o = o || 0; - const c2 = this.F.fromRprBEM(buff, o); - const c1 = this.F.fromRprBEM(buff, o+this.n8); - const c0 = this.F.fromRprBEM(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - toObject(a) { - return a; - } -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - - -function isGreatest(F, a) { - if (Array.isArray(a)) { - for (let i=a.length-1; i>=0; i--) { - if (!F.F.isZero(a[i])) { - return isGreatest(F.F, a[i]); - } - } - return 0; - } else { - const na = F.neg(a); - return gt(a, na); - } -} - - -class EC { - - constructor(F, g) { - this.F = F; - this.g = g; - if (this.g.length == 2) this.g[2] = this.F.one; - this.zero = [this.F.zero, this.F.one, this.F.zero]; - } - - add(p1, p2) { - - const F = this.F; - - if (this.eq(p1, this.zero)) return p2; - if (this.eq(p2, this.zero)) return p1; - - const res = new Array(3); - - const Z1Z1 = F.square( p1[2] ); - const Z2Z2 = F.square( p2[2] ); - - const U1 = F.mul( p1[0] , Z2Z2 ); // U1 = X1 * Z2Z2 - const U2 = F.mul( p2[0] , Z1Z1 ); // U2 = X2 * Z1Z1 - - const Z1_cubed = F.mul( p1[2] , Z1Z1); - const Z2_cubed = F.mul( p2[2] , Z2Z2); - - const S1 = F.mul( p1[1] , Z2_cubed); // S1 = Y1 * Z2 * Z2Z2 - const S2 = F.mul( p2[1] , Z1_cubed); // S2 = Y2 * Z1 * Z1Z1 - - if (F.eq(U1,U2) && F.eq(S1,S2)) { - return this.double(p1); - } - - const H = F.sub( U2 , U1 ); // H = U2-U1 - - const S2_minus_S1 = F.sub( S2 , S1 ); - - const I = F.square( F.add(H,H) ); // I = (2 * H)^2 - const J = F.mul( H , I ); // J = H * I - - const r = F.add( S2_minus_S1 , S2_minus_S1 ); // r = 2 * (S2-S1) - const V = F.mul( U1 , I ); // V = U1 * I - - res[0] = - F.sub( - F.sub( F.square(r) , J ), - F.add( V , V )); // X3 = r^2 - J - 2 * V - - const S1_J = F.mul( S1 , J ); - - res[1] = - F.sub( - F.mul( r , F.sub(V,res[0])), - F.add( S1_J,S1_J )); // Y3 = r * (V-X3)-2 S1 J - - res[2] = - F.mul( - H, - F.sub( - F.square( F.add(p1[2],p2[2]) ), - F.add( Z1Z1 , Z2Z2 ))); // Z3 = ((Z1+Z2)^2-Z1Z1-Z2Z2) * H - - 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 F = this.F; - - const res = new Array(3); - - if (this.eq(p, this.zero)) return p; - - const A = F.square( p[0] ); // A = X1^2 - const B = F.square( p[1] ); // B = Y1^2 - const C = F.square( B ); // C = B^2 - - let D = - F.sub( - F.square( F.add(p[0] , B )), - F.add( A , C)); - D = F.add(D,D); // D = 2 * ((X1 + B)^2 - A - C) - - const E = F.add( F.add(A,A), A); // E = 3 * A - const FF =F.square( E ); // F = E^2 - - res[0] = F.sub( FF , F.add(D,D) ); // X3 = F - 2 D - - let eightC = F.add( C , C ); - eightC = F.add( eightC , eightC ); - eightC = F.add( eightC , eightC ); - - res[1] = - F.sub( - F.mul( - E, - F.sub( D, res[0] )), - eightC); // Y3 = E * (D - X3) - 8 * C - - const Y1Z1 = F.mul( p[1] , p[2] ); - res[2] = F.add( Y1Z1 , Y1Z1 ); // Z3 = 2 * Y1 * Z1 - - return res; - } - - timesScalar(base, e) { - return mulScalar(this, base, e); - } - - mulScalar(base, e) { - return mulScalar(this, base, e); - } - - affine(p) { - const F = this.F; - if (this.isZero(p)) { - return this.zero; - } else if (F.eq(p[2], F.one)) { - return p; - } else { - const Z_inv = F.inv(p[2]); - const Z2_inv = F.square(Z_inv); - const Z3_inv = F.mul(Z2_inv, Z_inv); - - const res = new Array(3); - res[0] = F.mul(p[0],Z2_inv); - res[1] = F.mul(p[1],Z3_inv); - res[2] = F.one; - - return res; - } - } - - multiAffine(arr) { - const keys = Object.keys(arr); - const F = this.F; - const accMul = new Array(keys.length+1); - accMul[0] = F.one; - for (let i = 0; i< keys.length; i++) { - if (F.eq(arr[keys[i]][2], F.zero)) { - accMul[i+1] = accMul[i]; - } else { - accMul[i+1] = F.mul(accMul[i], arr[keys[i]][2]); - } - } - - accMul[keys.length] = F.inv(accMul[keys.length]); - - for (let i = keys.length-1; i>=0; i--) { - if (F.eq(arr[keys[i]][2], F.zero)) { - accMul[i] = accMul[i+1]; - arr[keys[i]] = this.zero; - } else { - const Z_inv = F.mul(accMul[i], accMul[i+1]); - accMul[i] = F.mul(arr[keys[i]][2], accMul[i+1]); - - const Z2_inv = F.square(Z_inv); - const Z3_inv = F.mul(Z2_inv, Z_inv); - - arr[keys[i]][0] = F.mul(arr[keys[i]][0],Z2_inv); - arr[keys[i]][1] = F.mul(arr[keys[i]][1],Z3_inv); - arr[keys[i]][2] = F.one; - } - } - - } - - eq(p1, p2) { - const F = this.F; - - if (this.F.eq(p1[2], this.F.zero)) return this.F.eq(p2[2], this.F.zero); - if (this.F.eq(p2[2], this.F.zero)) return false; - - const Z1Z1 = F.square( p1[2] ); - const Z2Z2 = F.square( p2[2] ); - - const U1 = F.mul( p1[0] , Z2Z2 ); - const U2 = F.mul( p2[0] , Z1Z1 ); - - const Z1_cubed = F.mul( p1[2] , Z1Z1); - const Z2_cubed = F.mul( p2[2] , Z2Z2); - - const S1 = F.mul( p1[1] , Z2_cubed); - const S2 = F.mul( p2[1] , Z1_cubed); - - return (F.eq(U1,U2) && F.eq(S1,S2)); - } - - isZero(p) { - return this.F.isZero(p[2]); - } - - toString(p) { - const cp = this.affine(p); - return `[ ${this.F.toString(cp[0])} , ${this.F.toString(cp[1])} ]`; - } - - fromRng(rng) { - const F = this.F; - let P = []; - let greatest; - do { - P[0] = F.fromRng(rng); - greatest = rng.nextBool(); - const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); - P[1] = F.sqrt(x3b); - } while ((P[1] == null)||(F.isZero[P])); - - const s = isGreatest(F, P[1]); - if (greatest ^ s) P[1] = F.neg(P[1]); - P[2] = F.one; - - if (this.cofactor) { - P = this.mulScalar(P, this.cofactor); - } - - P = this.affine(P); - - return P; - - } - - toRprLE(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprLE(buff, o, p[0]); - this.F.toRprLE(buff, o+this.F.n8, p[1]); - } - - toRprBE(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprBE(buff, o, p[0]); - this.F.toRprBE(buff, o+this.F.n8, p[1]); - } - - toRprLEM(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprLEM(buff, o, p[0]); - this.F.toRprLEM(buff, o+this.F.n8, p[1]); - } - - toRprLEJM(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprLEM(buff, o, p[0]); - this.F.toRprLEM(buff, o+this.F.n8, p[1]); - this.F.toRprLEM(buff, o+2*this.F.n8, p[2]); - } - - - toRprBEM(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprBEM(buff, o, p[0]); - this.F.toRprBEM(buff, o+this.F.n8, p[1]); - } - - fromRprLE(buff, o) { - o = o || 0; - const x = this.F.fromRprLE(buff, o); - const y = this.F.fromRprLE(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprBE(buff, o) { - o = o || 0; - const x = this.F.fromRprBE(buff, o); - const y = this.F.fromRprBE(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprLEM(buff, o) { - o = o || 0; - const x = this.F.fromRprLEM(buff, o); - const y = this.F.fromRprLEM(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprLEJM(buff, o) { - o = o || 0; - const x = this.F.fromRprLEM(buff, o); - const y = this.F.fromRprLEM(buff, o+this.F.n8); - const z = this.F.fromRprLEM(buff, o+this.F.n8*2); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, z]; - } - - fromRprBEM(buff, o) { - o = o || 0; - const x = this.F.fromRprBEM(buff, o); - const y = this.F.fromRprBEM(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprCompressed(buff, o) { - const F = this.F; - const v = new Uint8Array(buff.buffer, o, F.n8); - if (v[0] & 0x40) return this.zero; - const P = new Array(3); - - const greatest = ((v[0] & 0x80) != 0); - v[0] = v[0] & 0x7F; - P[0] = F.fromRprBE(buff, o); - if (greatest) v[0] = v[0] | 0x80; // set back again the old value - - const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); - P[1] = F.sqrt(x3b); - - if (P[1] === null) { - throw new Error("Invalid Point!"); - } - - const s = isGreatest(F, P[1]); - if (greatest ^ s) P[1] = F.neg(P[1]); - P[2] = F.one; - - return P; - } - - toRprCompressed(buff, o, p) { - p = this.affine(p); - const v = new Uint8Array(buff.buffer, o, this.F.n8); - if (this.isZero(p)) { - v.fill(0); - v[0] = 0x40; - return; - } - this.F.toRprBE(buff, o, p[0]); - - if (isGreatest(this.F, p[1])) { - v[0] = v[0] | 0x80; - } - } - - - fromRprUncompressed(buff, o) { - if (buff[0] & 0x40) return this.zero; - - return this.fromRprBE(buff, o); - } - - toRprUncompressed(buff, o, p) { - this.toRprBE(buff, o, p); - - if (this.isZero(p)) { - buff[o] = buff[o] | 0x40; - } - } - - -} - -var utils$6 = {}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -utils$6.bigInt2BytesLE = function bigInt2BytesLE(_a, len) { - const b = Array(len); - let v = BigInt(_a); - for (let i=0; i> 8n; - } - return b; -}; - -utils$6.bigInt2U32LE = function bigInt2BytesLE(_a, len) { - const b = Array(len); - let v = BigInt(_a); - for (let i=0; i> 32n; - } - return b; -}; - -utils$6.isOcamNum = function(a) { - if (!Array.isArray(a)) return false; - if (a.length != 3) return false; - if (typeof a[0] !== "number") return false; - if (typeof a[1] !== "number") return false; - if (!Array.isArray(a[2])) return false; - return true; -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -var build_int = function buildInt(module, n64, _prefix) { - - const prefix = _prefix || "int"; - if (module.modules[prefix]) return prefix; // already builded - module.modules[prefix] = {}; - - const n32 = n64*2; - const n8 = n64*8; - - function buildCopy() { - const f = module.addFunction(prefix+"_copy"); - f.addParam("px", "i32"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - for (let i=0; i>1) )&&(i>1, k>>1) - ) - ) - ); - - f.addCode( - c.setLocal(c1, - c.i64_add( - c.getLocal(c1), - c.i64_shr_u( - c.getLocal(c0), - c.i64_const(32) - ) - ) - ) - ); - } - - // Add the old carry - - if (k>0) { - f.addCode( - c.setLocal(c0, - c.i64_add( - c.i64_and( - c.getLocal(c0), - c.i64_const(0xFFFFFFFF) - ), - c.i64_and( - c.getLocal(c0_old), - c.i64_const(0xFFFFFFFF) - ), - ) - ) - ); - - f.addCode( - c.setLocal(c1, - c.i64_add( - c.i64_add( - c.getLocal(c1), - c.i64_shr_u( - c.getLocal(c0), - c.i64_const(32) - ) - ), - c.getLocal(c1_old) - ) - ) - ); - } - - f.addCode( - c.i64_store32( - c.getLocal("r"), - k*4, - c.getLocal(c0) - ) - ); - - f.addCode( - c.setLocal( - c0_old, - c.getLocal(c1) - ), - c.setLocal( - c1_old, - c.i64_shr_u( - c.getLocal(c0_old), - c.i64_const(32) - ) - ) - ); - - } - f.addCode( - c.i64_store32( - c.getLocal("r"), - n32*4*2-4, - c.getLocal(c0_old) - ) - ); - - } - - - function buildSquareOld() { - const f = module.addFunction(prefix+"_squareOld"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode(c.call(prefix + "_mul", c.getLocal("x"), c.getLocal("x"), c.getLocal("r"))); - } - - function _buildMul1() { - const f = module.addFunction(prefix+"__mul1"); - f.addParam("px", "i32"); - f.addParam("y", "i64"); - f.addParam("pr", "i32"); - f.addLocal("c", "i64"); - - const c = f.getCodeBuilder(); - - f.addCode(c.setLocal( - "c", - c.i64_mul( - c.i64_load32_u(c.getLocal("px"), 0, 0), - c.getLocal("y") - ) - )); - - f.addCode(c.i64_store32( - c.getLocal("pr"), - 0, - 0, - c.getLocal("c"), - )); - - for (let i=1; i3)&&(Y[eY]==0) ey--; - f.addCode(c.block(c.loop( - c.br_if( - 1, - c.i32_or( - c.i32_load8_u( - c.i32_add(Y , c.getLocal("eY")), - 0, - 0 - ), - c.i32_eq( - c.getLocal("eY"), - c.i32_const(3) - ) - ) - ), - c.setLocal("eY", c.i32_sub(c.getLocal("eY"), c.i32_const(1))), - c.br(0) - ))); - - f.addCode( - c.setLocal( - "sy", - c.i64_add( - c.i64_load32_u( - c.i32_sub( - c.i32_add( Y, c.getLocal("eY")), - c.i32_const(3) - ), - 0, - 0 - ), - c.i64_const(1) - ) - ) - ); - - // Force a divide by 0 if quotien is 0 - f.addCode( - c.if( - c.i64_eq( - c.getLocal("sy"), - c.i64_const(1) - ), - c.drop(c.i64_div_u(c.i64_const(0), c.i64_const(0))) - ) - ); - - f.addCode(c.block(c.loop( - - // while (eX>7)&&(Y[eX]==0) ex--; - c.block(c.loop( - c.br_if( - 1, - c.i32_or( - c.i32_load8_u( - c.i32_add(R , c.getLocal("eX")), - 0, - 0 - ), - c.i32_eq( - c.getLocal("eX"), - c.i32_const(7) - ) - ) - ), - c.setLocal("eX", c.i32_sub(c.getLocal("eX"), c.i32_const(1))), - c.br(0) - )), - - c.setLocal( - "sx", - c.i64_load( - c.i32_sub( - c.i32_add( R, c.getLocal("eX")), - c.i32_const(7) - ), - 0, - 0 - ) - ), - - c.setLocal( - "sx", - c.i64_div_u( - c.getLocal("sx"), - c.getLocal("sy") - ) - ), - c.setLocal( - "ec", - c.i32_sub( - c.i32_sub( - c.getLocal("eX"), - c.getLocal("eY") - ), - c.i32_const(4) - ) - ), - - // While greater than 32 bits or ec is neg, shr and inc exp - c.block(c.loop( - c.br_if( - 1, - c.i32_and( - c.i64_eqz( - c.i64_and( - c.getLocal("sx"), - c.i64_const("0xFFFFFFFF00000000") - ) - ), - c.i32_ge_s( - c.getLocal("ec"), - c.i32_const(0) - ) - ) - ), - - c.setLocal( - "sx", - c.i64_shr_u( - c.getLocal("sx"), - c.i64_const(8) - ) - ), - - c.setLocal( - "ec", - c.i32_add( - c.getLocal("ec"), - c.i32_const(1) - ) - ), - c.br(0) - )), - - c.if( - c.i64_eqz(c.getLocal("sx")), - [ - ...c.br_if( - 2, - c.i32_eqz(c.call(prefix + "_gte", R, Y)) - ), - ...c.setLocal("sx", c.i64_const(1)), - ...c.setLocal("ec", c.i32_const(0)) - ] - ), - - c.call(prefix + "__mul1", Y, c.getLocal("sx"), R2), - c.drop(c.call( - prefix + "_sub", - R, - c.i32_sub(R2, c.getLocal("ec")), - R - )), - c.call( - prefix + "__add1", - c.i32_add(C, c.getLocal("ec")), - c.getLocal("sx") - ), - c.br(0) - ))); - } - - function buildInverseMod() { - - const f = module.addFunction(prefix+"_inverseMod"); - f.addParam("px", "i32"); - f.addParam("pm", "i32"); - f.addParam("pr", "i32"); - f.addLocal("t", "i32"); - f.addLocal("newt", "i32"); - f.addLocal("r", "i32"); - f.addLocal("qq", "i32"); - f.addLocal("qr", "i32"); - f.addLocal("newr", "i32"); - f.addLocal("swp", "i32"); - f.addLocal("x", "i32"); - f.addLocal("signt", "i32"); - f.addLocal("signnewt", "i32"); - f.addLocal("signx", "i32"); - - const c = f.getCodeBuilder(); - - const aux1 = c.i32_const(module.alloc(n8)); - const aux2 = c.i32_const(module.alloc(n8)); - const aux3 = c.i32_const(module.alloc(n8)); - const aux4 = c.i32_const(module.alloc(n8)); - const aux5 = c.i32_const(module.alloc(n8)); - const aux6 = c.i32_const(module.alloc(n8)); - const mulBuff = c.i32_const(module.alloc(n8*2)); - const aux7 = c.i32_const(module.alloc(n8)); - - f.addCode( - c.setLocal("t", aux1), - c.call(prefix + "_zero", aux1), - c.setLocal("signt", c.i32_const(0)), - ); - - f.addCode( - c.setLocal("r", aux2), - c.call(prefix + "_copy", c.getLocal("pm"), aux2) - ); - - f.addCode( - c.setLocal("newt", aux3), - c.call(prefix + "_one", aux3), - c.setLocal("signnewt", c.i32_const(0)), - ); - - f.addCode( - c.setLocal("newr", aux4), - c.call(prefix + "_copy", c.getLocal("px"), aux4) - ); - - - - - f.addCode(c.setLocal("qq", aux5)); - f.addCode(c.setLocal("qr", aux6)); - f.addCode(c.setLocal("x", aux7)); - - f.addCode(c.block(c.loop( - c.br_if( - 1, - c.call(prefix + "_isZero", c.getLocal("newr") ) - ), - c.call(prefix + "_div", c.getLocal("r"), c.getLocal("newr"), c.getLocal("qq"), c.getLocal("qr")), - - c.call(prefix + "_mul", c.getLocal("qq"), c.getLocal("newt"), mulBuff), - - c.if( - c.getLocal("signt"), - c.if( - c.getLocal("signnewt"), - c.if ( - c.call(prefix + "_gte", mulBuff, c.getLocal("t")), - [ - ...c.drop(c.call(prefix + "_sub", mulBuff, c.getLocal("t"), c.getLocal("x"))), - ...c.setLocal("signx", c.i32_const(0)) - ], - [ - ...c.drop(c.call(prefix + "_sub", c.getLocal("t"), mulBuff, c.getLocal("x"))), - ...c.setLocal("signx", c.i32_const(1)) - ], - ), - [ - ...c.drop(c.call(prefix + "_add", mulBuff, c.getLocal("t"), c.getLocal("x"))), - ...c.setLocal("signx", c.i32_const(1)) - ] - ), - c.if( - c.getLocal("signnewt"), - [ - ...c.drop(c.call(prefix + "_add", mulBuff, c.getLocal("t"), c.getLocal("x"))), - ...c.setLocal("signx", c.i32_const(0)) - ], - c.if ( - c.call(prefix + "_gte", c.getLocal("t"), mulBuff), - [ - ...c.drop(c.call(prefix + "_sub", c.getLocal("t"), mulBuff, c.getLocal("x"))), - ...c.setLocal("signx", c.i32_const(0)) - ], - [ - ...c.drop(c.call(prefix + "_sub", mulBuff, c.getLocal("t"), c.getLocal("x"))), - ...c.setLocal("signx", c.i32_const(1)) - ] - ) - ) - ), - - c.setLocal("swp", c.getLocal("t")), - c.setLocal("t", c.getLocal("newt")), - c.setLocal("newt", c.getLocal("x")), - c.setLocal("x", c.getLocal("swp")), - - c.setLocal("signt", c.getLocal("signnewt")), - c.setLocal("signnewt", c.getLocal("signx")), - - c.setLocal("swp", c.getLocal("r")), - c.setLocal("r", c.getLocal("newr")), - c.setLocal("newr", c.getLocal("qr")), - c.setLocal("qr", c.getLocal("swp")), - - c.br(0) - ))); - - f.addCode(c.if( - c.getLocal("signt"), - c.drop(c.call(prefix + "_sub", c.getLocal("pm"), c.getLocal("t"), c.getLocal("pr"))), - c.call(prefix + "_copy", c.getLocal("t"), c.getLocal("pr")) - )); - } - - - buildCopy(); - buildZero(); - buildIsZero(); - buildOne(); - buildEq(); - buildGte(); - buildAdd(); - buildSub(); - buildMul(); - buildSquare(); - buildSquareOld(); - buildDiv(); - buildInverseMod(); - module.exportFunction(prefix+"_copy"); - module.exportFunction(prefix+"_zero"); - module.exportFunction(prefix+"_one"); - module.exportFunction(prefix+"_isZero"); - module.exportFunction(prefix+"_eq"); - module.exportFunction(prefix+"_gte"); - module.exportFunction(prefix+"_add"); - module.exportFunction(prefix+"_sub"); - module.exportFunction(prefix+"_mul"); - module.exportFunction(prefix+"_square"); - module.exportFunction(prefix+"_squareOld"); - module.exportFunction(prefix+"_div"); - module.exportFunction(prefix+"_inverseMod"); - - return prefix; + if (threadRng) return threadRng; + threadRng = new ChaCha(getRandomSeed()); + return threadRng; +} +//#endregion +//#region src/fft.js +var FFT = class { + constructor(G, F, opMulGF) { + this.F = F; + this.G = G; + this.opMulGF = opMulGF; + let rem = F.sqrt_t || F.t; + let s = F.sqrt_s || F.s; + let nqr = F.one; + while (F.eq(F.pow(nqr, F.half), F.one)) nqr = F.add(nqr, F.one); + this.w = new Array(s + 1); + this.wi = new Array(s + 1); + this.w[s] = this.F.pow(nqr, rem); + this.wi[s] = this.F.inv(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--; + } + this.roots = []; + this._setRoots(Math.min(s, 15)); + } + _setRoots(n) { + for (let i = n; i >= 0 && !this.roots[i]; i--) { + let r = this.F.one; + const nroots = 1 << i; + const rootsi = new Array(nroots); + for (let j = 0; j < nroots; j++) { + rootsi[j] = r; + r = this.F.mul(r, this.w[i]); + } + this.roots[i] = rootsi; + } + } + fft(p) { + if (p.length <= 1) return p; + const bits = log2$1(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + if (p.length != m) + /* c8 ignore start */ + throw new Error("Size must be multiple of 2"); + return __fft(this, p, bits, 0, 1); + } + ifft(p) { + if (p.length <= 1) return p; + const bits = log2$1(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + if (p.length != m) + /* c8 ignore start */ + throw new Error("Size must be multiple of 2"); + /* c8 ignore stop */ + const res = __fft(this, p, bits, 0, 1); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.opMulGF(res[(m - i) % m], twoinvm); + return resn; + } }; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -var build_timesscalar = function buildTimesScalar(module, fnName, elementLen, opAB, opAA, opCopy, opInit) { - - const f = module.addFunction(fnName); - f.addParam("base", "i32"); - f.addParam("scalar", "i32"); - f.addParam("scalarLength", "i32"); - f.addParam("r", "i32"); - f.addLocal("i", "i32"); - f.addLocal("b", "i32"); - - const c = f.getCodeBuilder(); - - const aux = c.i32_const(module.alloc(elementLen)); - - f.addCode( - c.if( - c.i32_eqz(c.getLocal("scalarLength")), - [ - ...c.call(opInit, c.getLocal("r")), - ...c.ret([]) - ] - ) - ); - f.addCode(c.call(opCopy, c.getLocal("base"), aux)); - f.addCode(c.call(opInit, c.getLocal("r"))); - f.addCode(c.setLocal("i", c.getLocal("scalarLength"))); - f.addCode(c.block(c.loop( - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - - c.setLocal( - "b", - c.i32_load8_u( - c.i32_add( - c.getLocal("scalar"), - c.getLocal("i") - ) - ) - ), - ...innerLoop(), - c.br_if(1, c.i32_eqz ( c.getLocal("i") )), - c.br(0) - ))); - - - function innerLoop() { - const code = []; - for (let i=0; i<8; i++) { - code.push( - ...c.call(opAA, c.getLocal("r"), c.getLocal("r")), - ...c.if( - c.i32_ge_u( c.getLocal("b"), c.i32_const(0x80 >> i)), - [ - ...c.setLocal( - "b", - c.i32_sub( - c.getLocal("b"), - c.i32_const(0x80 >> i) - ) - ), - ...c.call(opAB, c.getLocal("r"),aux, c.getLocal("r")) - ] - ) - ); - } - return code; - } - -}; - -var build_batchinverse = buildBatchInverse$3; - -function buildBatchInverse$3(module, prefix) { - - - const n8 = module.modules[prefix].n64*8; - - const f = module.addFunction(prefix+"_batchInverse"); - f.addParam("pIn", "i32"); - f.addParam("inStep", "i32"); - f.addParam("n", "i32"); - f.addParam("pOut", "i32"); - f.addParam("outStep", "i32"); - f.addLocal("itAux", "i32"); - f.addLocal("itIn", "i32"); - f.addLocal("itOut","i32"); - f.addLocal("i","i32"); - - const c = f.getCodeBuilder(); - - const AUX = c.i32_const(module.alloc(n8)); - - - // Alloc Working space for accumulated umltiplications - f.addCode( - c.setLocal("itAux", c.i32_load( c.i32_const(0) )), - c.i32_store( - c.i32_const(0), - c.i32_add( - c.getLocal("itAux"), - c.i32_mul( - c.i32_add( - c.getLocal("n"), - c.i32_const(1) - ), - c.i32_const(n8) - ) - ) - ) - ); - - f.addCode( - - // aux[0] = a; - c.call(prefix+"_one", c.getLocal("itAux")), - // for (i=0;i b ? 1 : -1; -} - -function square$1(n) { - return n * n; -} - -function isOdd$4(n) { - return n % 2n !== 0n; -} - -function isEven(n) { - return n % 2n === 0n; -} - -function isNegative$3(n) { - return n < 0n; -} - -function isPositive(n) { - return n > 0n; -} - -function bitLength$5(n) { - if (isNegative$3(n)) { - return n.toString(2).length - 1; // discard the - sign - } else { - return n.toString(2).length; - } +function log2$1(V) { + return ((V & 4294901760) !== 0 ? (V &= 4294901760, 16) : 0) | ((V & 4278255360) !== 0 ? (V &= 4278255360, 8) : 0) | ((V & 4042322160) !== 0 ? (V &= 4042322160, 4) : 0) | ((V & 3435973836) !== 0 ? (V &= 3435973836, 2) : 0) | (V & 2863311530) !== 0; } - -function abs(n) { - return n < 0n ? -n : n; -} - -function isUnit(n) { - return abs(n) === 1n; -} - -function modInv$3(a, n) { - var t = 0n, newT = 1n, r = n, newR = abs(a), q, lastT, lastR; - while (newR !== 0n) { - q = r / newR; - lastT = t; - lastR = r; - t = newT; - r = newR; - newT = lastT - (q * newT); - newR = lastR - (q * newR); - } - if (!isUnit(r)) throw new Error(a.toString() + " and " + n.toString() + " are not co-prime"); - if (compare(t, 0n) === -1) { - t = t + n; - } - if (isNegative$3(a)) { - return -t; - } - return t; -} - -function modPow$2(n, exp, mod) { - if (mod === 0n) throw new Error("Cannot take modPow with modulus 0"); - var r = 1n, - base = n % mod; - if (isNegative$3(exp)) { - exp = exp * -1n; - base = modInv$3(base, mod); - } - while (isPositive(exp)) { - if (base === 0n) return 0n; - if (isOdd$4(exp)) r = r * base % mod; - exp = exp / 2n; - base = square$1(base) % mod; - } - return r; -} - -function compareAbs(a, b) { - a = a >= 0n ? a : -a; - b = b >= 0n ? b : -b; - return a === b ? 0 : a > b ? 1 : -1; -} - -function isDivisibleBy(a, n) { - if (n === 0n) return false; - if (isUnit(n)) return true; - if (compareAbs(n, 2n) === 0) return isEven(a); - return a % n === 0n; -} - -function isBasicPrime(v) { - var n = abs(v); - if (isUnit(n)) return false; - if (n === 2n || n === 3n || n === 5n) return true; - if (isEven(n) || isDivisibleBy(n, 3n) || isDivisibleBy(n, 5n)) return false; - if (n < 49n) return true; - // we don't know if it's prime: let the other functions figure it out -} - -function prev(n) { - return n - 1n; -} - -function millerRabinTest(n, a) { - var nPrev = prev(n), - b = nPrev, - r = 0, - d, i, x; - while (isEven(b)) b = b / 2n, r++; - next: for (i = 0; i < a.length; i++) { - if (n < a[i]) continue; - x = modPow$2(BigInt(a[i]), b, n); - if (isUnit(x) || x === nPrev) continue; - for (d = r - 1; d != 0; d--) { - x = square$1(x) % n; - if (isUnit(x)) return false; - if (x === nPrev) continue next; - } - return false; - } - return true; -} - -function isPrime$1(p) { - var isPrime = isBasicPrime(p); - if (isPrime !== undefined) return isPrime; - var n = abs(p); - var bits = bitLength$5(n); - if (bits <= 64) - return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]); - var logN = Math.log(2) * Number(bits); - var t = Math.ceil(logN); - for (var a = [], i = 0; i < t; i++) { - a.push(BigInt(i + 2)); - } - return millerRabinTest(n, a); -} - -bigint.bitLength = bitLength$5; -bigint.isOdd = isOdd$4; -bigint.isNegative = isNegative$3; -bigint.abs = abs; -bigint.isUnit = isUnit; -bigint.compare = compare; -bigint.modInv = modInv$3; -bigint.modPow = modPow$2; -bigint.isPrime = isPrime$1; -bigint.square = square$1; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -const buildInt = build_int; -const utils$5 = utils$6; -const buildExp$2 = build_timesscalar; -const buildBatchInverse$2 = build_batchinverse; -const buildBatchConvertion$1 = build_batchconvertion; -const buildBatchOp = build_batchop; -const { bitLength: bitLength$4, modInv: modInv$2, modPow: modPow$1, isPrime, isOdd: isOdd$3, square } = bigint; - -var build_f1m = function buildF1m(module, _q, _prefix, _intPrefix) { - const q = BigInt(_q); - const n64 = Math.floor((bitLength$4(q - 1n) - 1)/64) +1; - const n32 = n64*2; - const n8 = n64*8; - - const prefix = _prefix || "f1m"; - if (module.modules[prefix]) return prefix; // already builded - - const intPrefix = buildInt(module, n64, _intPrefix); - const pq = module.alloc(n8, utils$5.bigInt2BytesLE(q, n8)); - - const pR2 = module.alloc(utils$5.bigInt2BytesLE(square(1n << BigInt(n64*64)) % q, n8)); - const pOne = module.alloc(utils$5.bigInt2BytesLE((1n << BigInt(n64*64)) % q, n8)); - const pZero = module.alloc(utils$5.bigInt2BytesLE(0n, n8)); - const _minusOne = q - 1n; - const _e = _minusOne >> 1n; // e = (p-1)/2 - const pe = module.alloc(n8, utils$5.bigInt2BytesLE(_e, n8)); - - const _ePlusOne = _e + 1n; // e = (p-1)/2 - const pePlusOne = module.alloc(n8, utils$5.bigInt2BytesLE(_ePlusOne, n8)); - - module.modules[prefix] = { - pq: pq, - pR2: pR2, - n64: n64, - q: q, - pOne: pOne, - pZero: pZero, - pePlusOne: pePlusOne - }; - - function buildOne() { - const f = module.addFunction(prefix+"_one"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode(c.call(intPrefix + "_copy", c.i32_const(pOne), c.getLocal("pr"))); - } - - function buildAdd() { - const f = module.addFunction(prefix+"_add"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.if( - c.call(intPrefix+"_add", c.getLocal("x"), c.getLocal("y"), c.getLocal("r")), - c.drop(c.call(intPrefix+"_sub", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))), - c.if( - c.call(intPrefix+"_gte", c.getLocal("r"), c.i32_const(pq) ), - c.drop(c.call(intPrefix+"_sub", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))), - ) - ) - ); - } - - function buildSub() { - const f = module.addFunction(prefix+"_sub"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.if( - c.call(intPrefix+"_sub", c.getLocal("x"), c.getLocal("y"), c.getLocal("r")), - c.drop(c.call(intPrefix+"_add", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))) - ) - ); - } - - function buildNeg() { - const f = module.addFunction(prefix+"_neg"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call(prefix + "_sub", c.i32_const(pZero), c.getLocal("x"), c.getLocal("r")) - ); - } - - - function buildIsNegative() { - const f = module.addFunction(prefix+"_isNegative"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const AUX = c.i32_const(module.alloc(n8)); - - f.addCode( - c.call(prefix + "_fromMontgomery", c.getLocal("x"), AUX), - c.call(intPrefix + "_gte", AUX, c.i32_const(pePlusOne) ) - ); - } - - function buildSign() { - const f = module.addFunction(prefix+"_sign"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const AUX = c.i32_const(module.alloc(n8)); - - f.addCode( - c.if ( - c.call(intPrefix + "_isZero", c.getLocal("x")), - c.ret(c.i32_const(0)) - ), - c.call(prefix + "_fromMontgomery", c.getLocal("x"), AUX), - c.if( - c.call(intPrefix + "_gte", AUX, c.i32_const(pePlusOne)), - c.ret(c.i32_const(-1)) - ), - c.ret(c.i32_const(1)) - ); - } - - - function buildMReduct() { - const carries = module.alloc(n32*n32*8); - - const f = module.addFunction(prefix+"_mReduct"); - f.addParam("t", "i32"); - f.addParam("r", "i32"); - f.addLocal("np32", "i64"); - f.addLocal("c", "i64"); - f.addLocal("m", "i64"); - - const c = f.getCodeBuilder(); - - const np32 = Number(0x100000000n - modInv$2(q, 0x100000000n)); - - f.addCode(c.setLocal("np32", c.i64_const(np32))); - - for (let i=0; i=n32) { - f.addCode( - c.i64_store32( - c.getLocal("r"), - (k-n32)*4, - c.getLocal(c0) - ) - ); - } - [c0, c1] = [c1, c0]; - f.addCode( - c.setLocal(c1, - c.i64_shr_u( - c.getLocal(c0), - c.i64_const(32) - ) - ) - ); - } - f.addCode( - c.i64_store32( - c.getLocal("r"), - n32*4-4, - c.getLocal(c0) - ) - ); - - f.addCode( - c.if( - c.i32_wrap_i64(c.getLocal(c1)), - c.drop(c.call(intPrefix+"_sub", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))), - c.if( - c.call(intPrefix+"_gte", c.getLocal("r"), c.i32_const(pq) ), - c.drop(c.call(intPrefix+"_sub", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))), - ) - ) - ); - } - - - function buildSquare() { - - const f = module.addFunction(prefix+"_square"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - f.addLocal("c0", "i64"); - f.addLocal("c1", "i64"); - f.addLocal("c0_old", "i64"); - f.addLocal("c1_old", "i64"); - f.addLocal("np32", "i64"); - - - for (let i=0;i>1) )&&(i>1, k>>1) - ) - ) - ); - - f.addCode( - c.setLocal(c1, - c.i64_add( - c.getLocal(c1), - c.i64_shr_u( - c.getLocal(c0), - c.i64_const(32) - ) - ) - ) - ); - } - - // Add the old carry - - if (k>0) { - f.addCode( - c.setLocal(c0, - c.i64_add( - c.i64_and( - c.getLocal(c0), - c.i64_const(0xFFFFFFFF) - ), - c.i64_and( - c.getLocal(c0_old), - c.i64_const(0xFFFFFFFF) - ), - ) - ) - ); - - f.addCode( - c.setLocal(c1, - c.i64_add( - c.i64_add( - c.getLocal(c1), - c.i64_shr_u( - c.getLocal(c0), - c.i64_const(32) - ) - ), - c.getLocal(c1_old) - ) - ) - ); - } - - - for (let i=Math.max(1, k-n32+1); (i<=k)&&(i=n32) { - f.addCode( - c.i64_store32( - c.getLocal("r"), - (k-n32)*4, - c.getLocal(c0) - ) - ); - } - f.addCode( - c.setLocal( - c0_old, - c.getLocal(c1) - ), - c.setLocal( - c1_old, - c.i64_shr_u( - c.getLocal(c0_old), - c.i64_const(32) - ) - ) - ); - } - f.addCode( - c.i64_store32( - c.getLocal("r"), - n32*4-4, - c.getLocal(c0_old) - ) - ); - - f.addCode( - c.if( - c.i32_wrap_i64(c.getLocal(c1_old)), - c.drop(c.call(intPrefix+"_sub", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))), - c.if( - c.call(intPrefix+"_gte", c.getLocal("r"), c.i32_const(pq) ), - c.drop(c.call(intPrefix+"_sub", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))), - ) - ) - ); - } - - - function buildSquareOld() { - const f = module.addFunction(prefix+"_squareOld"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode(c.call(prefix + "_mul", c.getLocal("x"), c.getLocal("x"), c.getLocal("r"))); - } - - function buildToMontgomery() { - const f = module.addFunction(prefix+"_toMontgomery"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - f.addCode(c.call(prefix+"_mul", c.getLocal("x"), c.i32_const(pR2), c.getLocal("r"))); - } - - function buildFromMontgomery() { - - const pAux2 = module.alloc(n8*2); - - const f = module.addFunction(prefix+"_fromMontgomery"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - f.addCode(c.call(intPrefix + "_copy", c.getLocal("x"), c.i32_const(pAux2) )); - f.addCode(c.call(intPrefix + "_zero", c.i32_const(pAux2 + n8) )); - f.addCode(c.call(prefix+"_mReduct", c.i32_const(pAux2), c.getLocal("r"))); - } - - function buildInverse() { - - const f = module.addFunction(prefix+ "_inverse"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - f.addCode(c.call(prefix + "_fromMontgomery", c.getLocal("x"), c.getLocal("r"))); - f.addCode(c.call(intPrefix + "_inverseMod", c.getLocal("r"), c.i32_const(pq), c.getLocal("r"))); - f.addCode(c.call(prefix + "_toMontgomery", c.getLocal("r"), c.getLocal("r"))); - } - - // Calculate various valuse needed for sqrt - - - let _nqr = 2n; - if (isPrime(q)) { - while (modPow$1(_nqr, _e, q) !== _minusOne) _nqr = _nqr + 1n; - } - - let s2 = 0; - let _t = _minusOne; - - while ((!isOdd$3(_t))&&(_t !== 0n)) { - s2++; - _t = _t >> 1n; - } - const pt = module.alloc(n8, utils$5.bigInt2BytesLE(_t, n8)); - - const _nqrToT = modPow$1(_nqr, _t, q); - const pNqrToT = module.alloc(utils$5.bigInt2BytesLE((_nqrToT << BigInt(n64*64)) % q, n8)); - - const _tPlusOneOver2 = (_t + 1n) >> 1n; - const ptPlusOneOver2 = module.alloc(n8, utils$5.bigInt2BytesLE(_tPlusOneOver2, n8)); - - function buildSqrt() { - - const f = module.addFunction(prefix+ "_sqrt"); - f.addParam("n", "i32"); - f.addParam("r", "i32"); - f.addLocal("m", "i32"); - f.addLocal("i", "i32"); - f.addLocal("j", "i32"); - - const c = f.getCodeBuilder(); - - const ONE = c.i32_const(pOne); - const C = c.i32_const(module.alloc(n8)); - const T = c.i32_const(module.alloc(n8)); - const R = c.i32_const(module.alloc(n8)); - const SQ = c.i32_const(module.alloc(n8)); - const B = c.i32_const(module.alloc(n8)); - - f.addCode( - - // If (n==0) return 0 - c.if( - c.call(prefix + "_isZero", c.getLocal("n")), - c.ret( - c.call(prefix + "_zero", c.getLocal("r")) - ) - ), - - c.setLocal("m", c.i32_const(s2)), - c.call(prefix + "_copy", c.i32_const(pNqrToT), C), - c.call(prefix + "_exp", c.getLocal("n"), c.i32_const(pt), c.i32_const(n8), T), - c.call(prefix + "_exp", c.getLocal("n"), c.i32_const(ptPlusOneOver2), c.i32_const(n8), R), - - c.block(c.loop( - c.br_if(1, c.call(prefix + "_eq", T, ONE)), - - c.call(prefix + "_square", T, SQ), - c.setLocal("i", c.i32_const(1)), - c.block(c.loop( - c.br_if(1, c.call(prefix + "_eq", SQ, ONE)), - c.call(prefix + "_square", SQ, SQ), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )), - - c.call(prefix + "_copy", C, B), - c.setLocal("j", c.i32_sub(c.i32_sub( c.getLocal("m"), c.getLocal("i")), c.i32_const(1)) ), - c.block(c.loop( - c.br_if(1, c.i32_eqz(c.getLocal("j"))), - c.call(prefix + "_square", B, B), - c.setLocal("j", c.i32_sub(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )), - - c.setLocal("m", c.getLocal("i")), - c.call(prefix + "_square", B, C), - c.call(prefix + "_mul", T, C, T), - c.call(prefix + "_mul", R, B, R), - - c.br(0) - )), - - c.if( - c.call(prefix + "_isNegative", R), - c.call(prefix + "_neg", R, c.getLocal("r")), - c.call(prefix + "_copy", R, c.getLocal("r")), - ) - ); - } - - function buildIsSquare() { - const f = module.addFunction(prefix+"_isSquare"); - f.addParam("n", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const ONE = c.i32_const(pOne); - const AUX = c.i32_const(module.alloc(n8)); - - f.addCode( - c.if( - c.call(prefix + "_isZero", c.getLocal("n")), - c.ret(c.i32_const(1)) - ), - c.call(prefix + "_exp", c.getLocal("n"), c.i32_const(pe), c.i32_const(n8), AUX), - c.call(prefix + "_eq", AUX, ONE) - ); - } - - - function buildLoad() { - const f = module.addFunction(prefix+"_load"); - f.addParam("scalar", "i32"); - f.addParam("scalarLen", "i32"); - f.addParam("r", "i32"); - f.addLocal("p", "i32"); - f.addLocal("l", "i32"); - f.addLocal("i", "i32"); - f.addLocal("j", "i32"); - const c = f.getCodeBuilder(); - - const R = c.i32_const(module.alloc(n8)); - const pAux = module.alloc(n8); - const AUX = c.i32_const(pAux); - - f.addCode( - c.call(intPrefix + "_zero", c.getLocal("r")), - c.setLocal("i", c.i32_const(n8)), - c.setLocal("p", c.getLocal("scalar")), - c.block(c.loop( - c.br_if(1, c.i32_gt_u(c.getLocal("i"), c.getLocal("scalarLen"))), - - c.if( - c.i32_eq(c.getLocal("i"), c.i32_const(n8)), - c.call(prefix + "_one", R), - c.call(prefix + "_mul", R, c.i32_const(pR2), R) - ), - c.call(prefix + "_mul", c.getLocal("p"), R, AUX), - c.call(prefix + "_add", c.getLocal("r"), AUX, c.getLocal("r")), - - c.setLocal("p", c.i32_add(c.getLocal("p"), c.i32_const(n8))), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(n8))), - c.br(0) - )), - - c.setLocal("l", c.i32_rem_u( c.getLocal("scalarLen"), c.i32_const(n8))), - c.if(c.i32_eqz(c.getLocal("l")), c.ret([])), - c.call(intPrefix + "_zero", AUX), - c.setLocal("j", c.i32_const(0)), - c.block(c.loop( - c.br_if(1, c.i32_eq(c.getLocal("j"), c.getLocal("l"))), - - c.i32_store8( - c.getLocal("j"), - pAux, - c.i32_load8_u(c.getLocal("p")), - ), - c.setLocal("p", c.i32_add(c.getLocal("p"), c.i32_const(1))), - c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )), - - c.if( - c.i32_eq(c.getLocal("i"), c.i32_const(n8)), - c.call(prefix + "_one", R), - c.call(prefix + "_mul", R, c.i32_const(pR2), R) - ), - c.call(prefix + "_mul", AUX, R, AUX), - c.call(prefix + "_add", c.getLocal("r"), AUX, c.getLocal("r")), - ); - } - - function buildTimesScalar() { - const f = module.addFunction(prefix+"_timesScalar"); - f.addParam("x", "i32"); - f.addParam("scalar", "i32"); - f.addParam("scalarLen", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const AUX = c.i32_const(module.alloc(n8)); - - f.addCode( - c.call(prefix + "_load", c.getLocal("scalar"), c.getLocal("scalarLen"), AUX), - c.call(prefix + "_toMontgomery", AUX, AUX), - c.call(prefix + "_mul", c.getLocal("x"), AUX, c.getLocal("r")), - ); - } - - function buildIsOne() { - const f = module.addFunction(prefix+"_isOne"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - f.addCode( - c.ret(c.call(intPrefix + "_eq", c.getLocal("x"), c.i32_const(pOne))) - ); - } - - - module.exportFunction(intPrefix + "_copy", prefix+"_copy"); - module.exportFunction(intPrefix + "_zero", prefix+"_zero"); - module.exportFunction(intPrefix + "_isZero", prefix+"_isZero"); - module.exportFunction(intPrefix + "_eq", prefix+"_eq"); - - buildIsOne(); - buildAdd(); - buildSub(); - buildNeg(); - buildMReduct(); - buildMul(); - buildSquare(); - buildSquareOld(); - buildToMontgomery(); - buildFromMontgomery(); - buildIsNegative(); - buildSign(); - buildInverse(); - buildOne(); - buildLoad(); - buildTimesScalar(); - buildBatchInverse$2(module, prefix); - buildBatchConvertion$1(module, prefix + "_batchToMontgomery", prefix + "_toMontgomery", n8, n8); - buildBatchConvertion$1(module, prefix + "_batchFromMontgomery", prefix + "_fromMontgomery", n8, n8); - buildBatchConvertion$1(module, prefix + "_batchNeg", prefix + "_neg", n8, n8); - buildBatchOp(module, prefix + "_batchAdd", prefix + "_add", n8, n8); - buildBatchOp(module, prefix + "_batchSub", prefix + "_sub", n8, n8); - buildBatchOp(module, prefix + "_batchMul", prefix + "_mul", n8, n8); - - module.exportFunction(prefix + "_add"); - module.exportFunction(prefix + "_sub"); - module.exportFunction(prefix + "_neg"); - module.exportFunction(prefix + "_isNegative"); - module.exportFunction(prefix + "_isOne"); - module.exportFunction(prefix + "_sign"); - module.exportFunction(prefix + "_mReduct"); - module.exportFunction(prefix + "_mul"); - module.exportFunction(prefix + "_square"); - module.exportFunction(prefix + "_squareOld"); - module.exportFunction(prefix + "_fromMontgomery"); - module.exportFunction(prefix + "_toMontgomery"); - module.exportFunction(prefix + "_inverse"); - module.exportFunction(prefix + "_one"); - module.exportFunction(prefix + "_load"); - module.exportFunction(prefix + "_timesScalar"); - buildExp$2( - module, - prefix + "_exp", - n8, - prefix + "_mul", - prefix + "_square", - intPrefix + "_copy", - prefix + "_one", - ); - module.exportFunction(prefix + "_exp"); - module.exportFunction(prefix + "_batchInverse"); - if (isPrime(q)) { - buildSqrt(); - buildIsSquare(); - module.exportFunction(prefix + "_sqrt"); - module.exportFunction(prefix + "_isSquare"); - } - module.exportFunction(prefix + "_batchToMontgomery"); - module.exportFunction(prefix + "_batchFromMontgomery"); - // console.log(module.functionIdxByName); - - return prefix; -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -const buildF1m$2 =build_f1m; -const { bitLength: bitLength$3 } = bigint; - -var build_f1 = function buildF1(module, _q, _prefix, _f1mPrefix, _intPrefix) { - - const q = BigInt(_q); - const n64 = Math.floor((bitLength$3(q - 1n) - 1)/64) +1; - const n8 = n64*8; - - const prefix = _prefix || "f1"; - if (module.modules[prefix]) return prefix; // already builded - module.modules[prefix] = { - n64: n64 - }; - - const intPrefix = _intPrefix || "int"; - const f1mPrefix = buildF1m$2(module, q, _f1mPrefix, intPrefix); - - - const pR2 = module.modules[f1mPrefix].pR2; - const pq = module.modules[f1mPrefix].pq; - const pePlusOne = module.modules[f1mPrefix].pePlusOne; - - function buildMul() { - const pAux1 = module.alloc(n8); - - const f = module.addFunction(prefix+ "_mul"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - f.addCode(c.call(f1mPrefix + "_mul", c.getLocal("x"), c.getLocal("y"), c.i32_const(pAux1))); - f.addCode(c.call(f1mPrefix + "_mul", c.i32_const(pAux1), c.i32_const(pR2), c.getLocal("r"))); - } - - function buildSquare() { - const f = module.addFunction(prefix+"_square"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode(c.call(prefix + "_mul", c.getLocal("x"), c.getLocal("x"), c.getLocal("r"))); - } - - - function buildInverse() { - - const f = module.addFunction(prefix+ "_inverse"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - f.addCode(c.call(intPrefix + "_inverseMod", c.getLocal("x"), c.i32_const(pq), c.getLocal("r"))); - } - - function buildIsNegative() { - const f = module.addFunction(prefix+"_isNegative"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call(intPrefix + "_gte", c.getLocal("x"), c.i32_const(pePlusOne) ) - ); - } - - - buildMul(); - buildSquare(); - buildInverse(); - buildIsNegative(); - module.exportFunction(f1mPrefix + "_add", prefix + "_add"); - module.exportFunction(f1mPrefix + "_sub", prefix + "_sub"); - module.exportFunction(f1mPrefix + "_neg", prefix + "_neg"); - module.exportFunction(prefix + "_mul"); - module.exportFunction(prefix + "_square"); - module.exportFunction(prefix + "_inverse"); - module.exportFunction(prefix + "_isNegative"); - module.exportFunction(f1mPrefix + "_copy", prefix+"_copy"); - module.exportFunction(f1mPrefix + "_zero", prefix+"_zero"); - module.exportFunction(f1mPrefix + "_one", prefix+"_one"); - module.exportFunction(f1mPrefix + "_isZero", prefix+"_isZero"); - module.exportFunction(f1mPrefix + "_eq", prefix+"_eq"); - - return prefix; -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -const buildExp$1 = build_timesscalar; -const buildBatchInverse$1 = build_batchinverse; -const utils$4 = utils$6; - -var build_f2m = function buildF2m(module, mulNonResidueFn, prefix, f1mPrefix) { - - if (module.modules[prefix]) return prefix; // already builded - - const f1n8 = module.modules[f1mPrefix].n64*8; - const q = module.modules[f1mPrefix].q; - - module.modules[prefix] = { - n64: module.modules[f1mPrefix].n64*2 - }; - - function buildAdd() { - const f = module.addFunction(prefix+"_add"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_add", x0, y0, r0), - c.call(f1mPrefix+"_add", x1, y1, r1), - ); - } - - function buildTimesScalar() { - const f = module.addFunction(prefix+"_timesScalar"); - f.addParam("x", "i32"); - f.addParam("scalar", "i32"); - f.addParam("scalarLen", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_timesScalar", x0, c.getLocal("scalar"), c.getLocal("scalarLen"), r0), - c.call(f1mPrefix+"_timesScalar", x1, c.getLocal("scalar"), c.getLocal("scalarLen"), r1), - ); - } - - function buildSub() { - const f = module.addFunction(prefix+"_sub"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_sub", x0, y0, r0), - c.call(f1mPrefix+"_sub", x1, y1, r1), - ); - } - - function buildNeg() { - const f = module.addFunction(prefix+"_neg"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_neg", x0, r0), - c.call(f1mPrefix+"_neg", x1, r1), - ); - } - - function buildConjugate() { - const f = module.addFunction(prefix+"_conjugate"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_copy", x0, r0), - c.call(f1mPrefix+"_neg", x1, r1), - ); - } - - - function buildIsNegative() { - const f = module.addFunction(prefix+"_isNegative"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - - f.addCode( - c.if( - c.call(f1mPrefix+"_isZero", x1), - c.ret(c.call(f1mPrefix+"_isNegative", x0)) - ), - c.ret(c.call(f1mPrefix+"_isNegative", x1)) - ); - } - - function buildMul() { - const f = module.addFunction(prefix+"_mul"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - const A = c.i32_const(module.alloc(f1n8)); - const B = c.i32_const(module.alloc(f1n8)); - const C = c.i32_const(module.alloc(f1n8)); - const D = c.i32_const(module.alloc(f1n8)); - - - f.addCode( - c.call(f1mPrefix + "_mul", x0, y0, A), // A = x0*y0 - c.call(f1mPrefix + "_mul", x1, y1, B), // B = x1*y1 - - c.call(f1mPrefix + "_add", x0, x1, C), // C = x0 + x1 - c.call(f1mPrefix + "_add", y0, y1, D), // D = y0 + y1 - c.call(f1mPrefix + "_mul", C, D, C), // C = (x0 + x1)*(y0 + y1) = x0*y0+x0*y1+x1*y0+x1*y1 - - // c.call(f1mPrefix + "_mul", B, c.i32_const(pNonResidue), r0), // r0 = nr*(x1*y1) - c.call(mulNonResidueFn, B, r0), // r0 = nr*(x1*y1) - c.call(f1mPrefix + "_add", A, r0, r0), // r0 = x0*y0 + nr*(x1*y1) - c.call(f1mPrefix + "_add", A, B, r1), // r1 = x0*y0+x1*y1 - c.call(f1mPrefix + "_sub", C, r1, r1) // r1 = x0*y0+x0*y1+x1*y0+x1*y1 - x0*y0+x1*y1 = x0*y1+x1*y0 - ); - - } - - function buildMul1() { - const f = module.addFunction(prefix+"_mul1"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const y = c.getLocal("y"); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - - f.addCode( - c.call(f1mPrefix + "_mul", x0, y, r0), // A = x0*y - c.call(f1mPrefix + "_mul", x1, y, r1), // B = x1*y - ); - } - - function buildSquare() { - const f = module.addFunction(prefix+"_square"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - const AB = c.i32_const(module.alloc(f1n8)); - const APB = c.i32_const(module.alloc(f1n8)); - const APNB = c.i32_const(module.alloc(f1n8)); - const ABPNAB = c.i32_const(module.alloc(f1n8)); - - - f.addCode( - // AB = x0*y1 - c.call(f1mPrefix + "_mul", x0, x1, AB), - - // APB = x0+y1 - c.call(f1mPrefix + "_add", x0, x1, APB), - - // APBN0 = x0 + nr*x1 - c.call(mulNonResidueFn, x1, APNB), - c.call(f1mPrefix + "_add", x0, APNB, APNB), - - // ABPNAB = ab + nr*ab - c.call(mulNonResidueFn, AB, ABPNAB), - c.call(f1mPrefix + "_add", ABPNAB, AB, ABPNAB), - - // r0 = APB * APNB - ABPNAB - c.call(f1mPrefix + "_mul", APB, APNB, r0), - c.call(f1mPrefix + "_sub", r0, ABPNAB, r0), - - // r1 = AB + AB - c.call(f1mPrefix + "_add", AB, AB, r1), - ); - - } - - - function buildToMontgomery() { - const f = module.addFunction(prefix+"_toMontgomery"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_toMontgomery", x0, r0), - c.call(f1mPrefix+"_toMontgomery", x1, r1) - ); - } - - function buildFromMontgomery() { - const f = module.addFunction(prefix+"_fromMontgomery"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_fromMontgomery", x0, r0), - c.call(f1mPrefix+"_fromMontgomery", x1, r1) - ); - } - - function buildCopy() { - const f = module.addFunction(prefix+"_copy"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_copy", x0, r0), - c.call(f1mPrefix+"_copy", x1, r1) - ); - } - - function buildZero() { - const f = module.addFunction(prefix+"_zero"); - f.addParam("x", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_zero", x0), - c.call(f1mPrefix+"_zero", x1) - ); - } - - function buildOne() { - const f = module.addFunction(prefix+"_one"); - f.addParam("x", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_one", x0), - c.call(f1mPrefix+"_zero", x1) - ); - } - - function buildEq() { - const f = module.addFunction(prefix+"_eq"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - - f.addCode( - c.i32_and( - c.call(f1mPrefix+"_eq", x0, y0), - c.call(f1mPrefix+"_eq", x1, y1) - ) - ); - } - - function buildIsZero() { - const f = module.addFunction(prefix+"_isZero"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - - f.addCode( - c.i32_and( - c.call(f1mPrefix+"_isZero", x0), - c.call(f1mPrefix+"_isZero", x1) - ) - ); - } - - function buildInverse() { - const f = module.addFunction(prefix+"_inverse"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - - const t0 = c.i32_const(module.alloc(f1n8)); - const t1 = c.i32_const(module.alloc(f1n8)); - const t2 = c.i32_const(module.alloc(f1n8)); - const t3 = c.i32_const(module.alloc(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_square", x0, t0), - c.call(f1mPrefix+"_square", x1, t1), - // c.call(f1mPrefix+"_mul", t1, c.i32_const(pNonResidue), t2), - c.call(mulNonResidueFn, t1, t2), - - c.call(f1mPrefix+"_sub", t0, t2, t2), - c.call(f1mPrefix+"_inverse", t2, t3), - - c.call(f1mPrefix+"_mul", x0, t3, r0), - c.call(f1mPrefix+"_mul", x1, t3, r1), - c.call(f1mPrefix+"_neg", r1, r1), - ); - } - - - function buildSign() { - const f = module.addFunction(prefix+"_sign"); - f.addParam("x", "i32"); - f.addLocal("s", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - - f.addCode( - c.setLocal("s" , c.call( f1mPrefix + "_sign", x1)), - c.if( - c.getLocal("s"), - c.ret(c.getLocal("s")) - ), - c.ret(c.call( f1mPrefix + "_sign", x0)) - ); - } - - function buildIsOne() { - const f = module.addFunction(prefix+"_isOne"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - - f.addCode( - c.ret(c.i32_and( - c.call(f1mPrefix + "_isOne", x0), - c.call(f1mPrefix + "_isZero", x1), - )) - ); - } - - - // Check here: https://eprint.iacr.org/2012/685.pdf - // Alg 9adj - function buildSqrt() { - - const f = module.addFunction(prefix+"_sqrt"); - f.addParam("a", "i32"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - // BigInt can't take `undefined` so we use `|| 0` - const e34 = c.i32_const(module.alloc(utils$4.bigInt2BytesLE((BigInt(q || 0) - 3n) / 4n, f1n8 ))); - // BigInt can't take `undefined` so we use `|| 0` - const e12 = c.i32_const(module.alloc(utils$4.bigInt2BytesLE((BigInt(q || 0) - 1n) / 2n, f1n8 ))); - - const a = c.getLocal("a"); - const a1 = c.i32_const(module.alloc(f1n8*2)); - const alpha = c.i32_const(module.alloc(f1n8*2)); - const a0 = c.i32_const(module.alloc(f1n8*2)); - const pn1 = module.alloc(f1n8*2); - const n1 = c.i32_const(pn1); - const n1a = c.i32_const(pn1); - const n1b = c.i32_const(pn1+f1n8); - const x0 = c.i32_const(module.alloc(f1n8*2)); - const b = c.i32_const(module.alloc(f1n8*2)); - - f.addCode( - - c.call(prefix + "_one", n1), - c.call(prefix + "_neg", n1, n1), - - // const a1 = F.pow(a, F.sqrt_e34); - c.call(prefix + "_exp", a, e34, c.i32_const(f1n8), a1), - - // const a1 = F.pow(a, F.sqrt_e34); - c.call(prefix + "_square", a1, alpha), - c.call(prefix + "_mul", a, alpha, alpha), - - // const a0 = F.mul(F.frobenius(1, alfa), alfa); - c.call(prefix + "_conjugate", alpha, a0), - c.call(prefix + "_mul", a0, alpha, a0), - - // if (F.eq(a0, F.negone)) return null; - c.if(c.call(prefix + "_eq",a0,n1), c.unreachable() ), - - // const x0 = F.mul(a1, a); - c.call(prefix + "_mul", a1, a, x0), - - // if (F.eq(alfa, F.negone)) { - c.if( - c.call(prefix + "_eq", alpha, n1), - [ - // x = F.mul(x0, [F.F.zero, F.F.one]); - ...c.call(f1mPrefix + "_zero", n1a), - ...c.call(f1mPrefix + "_one", n1b), - ...c.call(prefix + "_mul", n1, x0, c.getLocal("pr")), - ], - [ - // const b = F.pow(F.add(F.one, alfa), F.sqrt_e12); - ...c.call(prefix + "_one", b), - ...c.call(prefix + "_add", b, alpha, b), - ...c.call(prefix + "_exp", b, e12, c.i32_const(f1n8), b), - - // x = F.mul(b, x0); - ...c.call(prefix + "_mul", b, x0, c.getLocal("pr")), - ] - ) - ); - - } - - - function buildIsSquare() { - - const f = module.addFunction(prefix+"_isSquare"); - f.addParam("a", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - // BigInt can't take `undefined` so we use `|| 0` - const e34 = c.i32_const(module.alloc(utils$4.bigInt2BytesLE((BigInt(q || 0) - 3n) / 4n, f1n8 ))); - - const a = c.getLocal("a"); - const a1 = c.i32_const(module.alloc(f1n8*2)); - const alpha = c.i32_const(module.alloc(f1n8*2)); - const a0 = c.i32_const(module.alloc(f1n8*2)); - const pn1 = module.alloc(f1n8*2); - const n1 = c.i32_const(pn1); - - f.addCode( - - c.call(prefix + "_one", n1), - c.call(prefix + "_neg", n1, n1), - - // const a1 = F.pow(a, F.sqrt_e34); - c.call(prefix + "_exp", a, e34, c.i32_const(f1n8), a1), - - // const a1 = F.pow(a, F.sqrt_e34); - c.call(prefix + "_square", a1, alpha), - c.call(prefix + "_mul", a, alpha, alpha), - - // const a0 = F.mul(F.frobenius(1, alfa), alfa); - c.call(prefix + "_conjugate", alpha, a0), - c.call(prefix + "_mul", a0, alpha, a0), - - // if (F.eq(a0, F.negone)) return null; - c.if( - c.call( - prefix + "_eq", - a0, - n1 - ), - c.ret(c.i32_const(0)) - ), - c.ret(c.i32_const(1)) - ); - - } - - - buildIsZero(); - buildIsOne(); - buildZero(); - buildOne(); - buildCopy(); - buildMul(); - buildMul1(); - buildSquare(); - buildAdd(); - buildSub(); - buildNeg(); - buildConjugate(); - buildToMontgomery(); - buildFromMontgomery(); - buildEq(); - buildInverse(); - buildTimesScalar(); - buildSign(); - buildIsNegative(); - - module.exportFunction(prefix + "_isZero"); - module.exportFunction(prefix + "_isOne"); - module.exportFunction(prefix + "_zero"); - module.exportFunction(prefix + "_one"); - module.exportFunction(prefix + "_copy"); - module.exportFunction(prefix + "_mul"); - module.exportFunction(prefix + "_mul1"); - module.exportFunction(prefix + "_square"); - module.exportFunction(prefix + "_add"); - module.exportFunction(prefix + "_sub"); - module.exportFunction(prefix + "_neg"); - module.exportFunction(prefix + "_sign"); - module.exportFunction(prefix + "_conjugate"); - module.exportFunction(prefix + "_fromMontgomery"); - module.exportFunction(prefix + "_toMontgomery"); - module.exportFunction(prefix + "_eq"); - module.exportFunction(prefix + "_inverse"); - buildBatchInverse$1(module, prefix); - buildExp$1( - module, - prefix + "_exp", - f1n8*2, - prefix + "_mul", - prefix + "_square", - prefix + "_copy", - prefix + "_one", - ); - buildSqrt(); - buildIsSquare(); - - module.exportFunction(prefix + "_exp"); - module.exportFunction(prefix + "_timesScalar"); - module.exportFunction(prefix + "_batchInverse"); - module.exportFunction(prefix + "_sqrt"); - module.exportFunction(prefix + "_isSquare"); - module.exportFunction(prefix + "_isNegative"); - - - return prefix; -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -const buildExp = build_timesscalar; -const buildBatchInverse = build_batchinverse; - -var build_f3m = function buildF3m(module, mulNonResidueFn, prefix, f1mPrefix) { - - if (module.modules[prefix]) return prefix; // already builded - - const f1n8 = module.modules[f1mPrefix].n64*8; - module.modules[prefix] = { - n64: module.modules[f1mPrefix].n64*3 - }; - - function buildAdd() { - const f = module.addFunction(prefix+"_add"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - const y2 = c.i32_add(c.getLocal("y"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_add", x0, y0, r0), - c.call(f1mPrefix+"_add", x1, y1, r1), - c.call(f1mPrefix+"_add", x2, y2, r2), - ); - } - - function buildTimesScalar() { - const f = module.addFunction(prefix+"_timesScalar"); - f.addParam("x", "i32"); - f.addParam("scalar", "i32"); - f.addParam("scalarLen", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_timesScalar", x0, c.getLocal("scalar"), c.getLocal("scalarLen"), r0), - c.call(f1mPrefix+"_timesScalar", x1, c.getLocal("scalar"), c.getLocal("scalarLen"), r1), - c.call(f1mPrefix+"_timesScalar", x2, c.getLocal("scalar"), c.getLocal("scalarLen"), r2), - ); - } - - - function buildSub() { - const f = module.addFunction(prefix+"_sub"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - const y2 = c.i32_add(c.getLocal("y"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_sub", x0, y0, r0), - c.call(f1mPrefix+"_sub", x1, y1, r1), - c.call(f1mPrefix+"_sub", x2, y2, r2), - ); - } - - function buildNeg() { - const f = module.addFunction(prefix+"_neg"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_neg", x0, r0), - c.call(f1mPrefix+"_neg", x1, r1), - c.call(f1mPrefix+"_neg", x2, r2), - ); - } - - function buildIsNegative() { - const f = module.addFunction(prefix+"_isNegative"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - - f.addCode( - c.if( - c.call(f1mPrefix+"_isZero", x2), - c.if( - c.call(f1mPrefix+"_isZero", x1), - c.ret(c.call(f1mPrefix+"_isNegative", x0)), - c.ret(c.call(f1mPrefix+"_isNegative", x1)) - ) - ), - c.ret(c.call(f1mPrefix+"_isNegative", x2)) - ); - } - - - function buildMul() { - const f = module.addFunction(prefix+"_mul"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.addParam("r", "i32"); - - const cd = f.getCodeBuilder(); - - const a = cd.getLocal("x"); - const b = cd.i32_add(cd.getLocal("x"), cd.i32_const(f1n8)); - const c = cd.i32_add(cd.getLocal("x"), cd.i32_const(2*f1n8)); - const A = cd.getLocal("y"); - const B = cd.i32_add(cd.getLocal("y"), cd.i32_const(f1n8)); - const C = cd.i32_add(cd.getLocal("y"), cd.i32_const(2*f1n8)); - const r0 = cd.getLocal("r"); - const r1 = cd.i32_add(cd.getLocal("r"), cd.i32_const(f1n8)); - const r2 = cd.i32_add(cd.getLocal("r"), cd.i32_const(2*f1n8)); - - const aA = cd.i32_const(module.alloc(f1n8)); - const bB = cd.i32_const(module.alloc(f1n8)); - const cC = cd.i32_const(module.alloc(f1n8)); - const a_b = cd.i32_const(module.alloc(f1n8)); - const A_B = cd.i32_const(module.alloc(f1n8)); - const a_c = cd.i32_const(module.alloc(f1n8)); - const A_C = cd.i32_const(module.alloc(f1n8)); - const b_c = cd.i32_const(module.alloc(f1n8)); - const B_C = cd.i32_const(module.alloc(f1n8)); - const aA_bB = cd.i32_const(module.alloc(f1n8)); - const aA_cC = cd.i32_const(module.alloc(f1n8)); - const bB_cC = cd.i32_const(module.alloc(f1n8)); - const AUX = cd.i32_const(module.alloc(f1n8)); - - - f.addCode( - cd.call(f1mPrefix + "_mul", a, A, aA), - cd.call(f1mPrefix + "_mul", b, B, bB), - cd.call(f1mPrefix + "_mul", c, C, cC), - - cd.call(f1mPrefix + "_add", a, b, a_b), - cd.call(f1mPrefix + "_add", A, B, A_B), - cd.call(f1mPrefix + "_add", a, c, a_c), - cd.call(f1mPrefix + "_add", A, C, A_C), - cd.call(f1mPrefix + "_add", b, c, b_c), - cd.call(f1mPrefix + "_add", B, C, B_C), - - cd.call(f1mPrefix + "_add", aA, bB, aA_bB), - cd.call(f1mPrefix + "_add", aA, cC, aA_cC), - cd.call(f1mPrefix + "_add", bB, cC, bB_cC), - - cd.call(f1mPrefix + "_mul", b_c, B_C, r0), - cd.call(f1mPrefix + "_sub", r0, bB_cC, r0), - cd.call(mulNonResidueFn, r0, r0), - cd.call(f1mPrefix + "_add", aA, r0, r0), - - cd.call(f1mPrefix + "_mul", a_b, A_B, r1), - cd.call(f1mPrefix + "_sub", r1, aA_bB, r1), - cd.call(mulNonResidueFn, cC, AUX), - cd.call(f1mPrefix + "_add", r1, AUX, r1), - - cd.call(f1mPrefix + "_mul", a_c, A_C, r2), - cd.call(f1mPrefix + "_sub", r2, aA_cC, r2), - cd.call(f1mPrefix + "_add", r2, bB, r2), - ); - - } - - function buildSquare() { - const f = module.addFunction(prefix+"_square"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const A = c.getLocal("x"); - const B = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const C = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - const s0 = c.i32_const(module.alloc(f1n8)); - const ab = c.i32_const(module.alloc(f1n8)); - const s1 = c.i32_const(module.alloc(f1n8)); - const s2 = c.i32_const(module.alloc(f1n8)); - const bc = c.i32_const(module.alloc(f1n8)); - const s3 = c.i32_const(module.alloc(f1n8)); - const s4 = c.i32_const(module.alloc(f1n8)); - - - f.addCode( - - c.call(f1mPrefix + "_square", A, s0), - c.call(f1mPrefix + "_mul", A, B, ab), - c.call(f1mPrefix + "_add", ab, ab, s1), - - c.call(f1mPrefix + "_sub", A, B, s2), - c.call(f1mPrefix + "_add", s2, C, s2), - c.call(f1mPrefix + "_square", s2, s2), - - c.call(f1mPrefix + "_mul", B, C, bc), - c.call(f1mPrefix + "_add", bc, bc, s3), - - c.call(f1mPrefix + "_square", C, s4), - - c.call(mulNonResidueFn, s3, r0), - c.call(f1mPrefix + "_add", s0, r0, r0), - - c.call(mulNonResidueFn, s4, r1), - c.call(f1mPrefix + "_add", s1, r1, r1), - - c.call(f1mPrefix + "_add", s0, s4, r2), - c.call(f1mPrefix + "_sub", s3, r2, r2), - c.call(f1mPrefix + "_add", s2, r2, r2), - c.call(f1mPrefix + "_add", s1, r2, r2), - ); - - } - - - function buildToMontgomery() { - const f = module.addFunction(prefix+"_toMontgomery"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_toMontgomery", x0, r0), - c.call(f1mPrefix+"_toMontgomery", x1, r1), - c.call(f1mPrefix+"_toMontgomery", x2, r2) - ); - } - - function buildFromMontgomery() { - const f = module.addFunction(prefix+"_fromMontgomery"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_fromMontgomery", x0, r0), - c.call(f1mPrefix+"_fromMontgomery", x1, r1), - c.call(f1mPrefix+"_fromMontgomery", x2, r2) - ); - } - - function buildCopy() { - const f = module.addFunction(prefix+"_copy"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_copy", x0, r0), - c.call(f1mPrefix+"_copy", x1, r1), - c.call(f1mPrefix+"_copy", x2, r2), - ); - } - - function buildZero() { - const f = module.addFunction(prefix+"_zero"); - f.addParam("x", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_zero", x0), - c.call(f1mPrefix+"_zero", x1), - c.call(f1mPrefix+"_zero", x2), - ); - } - - function buildOne() { - const f = module.addFunction(prefix+"_one"); - f.addParam("x", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - - f.addCode( - c.call(f1mPrefix+"_one", x0), - c.call(f1mPrefix+"_zero", x1), - c.call(f1mPrefix+"_zero", x2), - ); - } - - function buildEq() { - const f = module.addFunction(prefix+"_eq"); - f.addParam("x", "i32"); - f.addParam("y", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const y0 = c.getLocal("y"); - const y1 = c.i32_add(c.getLocal("y"), c.i32_const(f1n8)); - const y2 = c.i32_add(c.getLocal("y"), c.i32_const(2*f1n8)); - - f.addCode( - c.i32_and( - c.i32_and( - c.call(f1mPrefix+"_eq", x0, y0), - c.call(f1mPrefix+"_eq", x1, y1), - ), - c.call(f1mPrefix+"_eq", x2, y2) - ) - ); - } - - function buildIsZero() { - const f = module.addFunction(prefix+"_isZero"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - - f.addCode( - c.i32_and( - c.i32_and( - c.call(f1mPrefix+"_isZero", x0), - c.call(f1mPrefix+"_isZero", x1) - ), - c.call(f1mPrefix+"_isZero", x2) - ) - ); - } - - function buildInverse() { - const f = module.addFunction(prefix+"_inverse"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - const r0 = c.getLocal("r"); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(f1n8)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(2*f1n8)); - - const t0 = c.i32_const(module.alloc(f1n8)); - const t1 = c.i32_const(module.alloc(f1n8)); - const t2 = c.i32_const(module.alloc(f1n8)); - const t3 = c.i32_const(module.alloc(f1n8)); - const t4 = c.i32_const(module.alloc(f1n8)); - const t5 = c.i32_const(module.alloc(f1n8)); - const c0 = c.i32_const(module.alloc(f1n8)); - const c1 = c.i32_const(module.alloc(f1n8)); - const c2 = c.i32_const(module.alloc(f1n8)); - const t6 = c.i32_const(module.alloc(f1n8)); - const AUX = c.i32_const(module.alloc(f1n8)); - - f.addCode( - c.call(f1mPrefix+"_square", x0, t0), - c.call(f1mPrefix+"_square", x1, t1), - c.call(f1mPrefix+"_square", x2, t2), - c.call(f1mPrefix+"_mul", x0, x1, t3), - c.call(f1mPrefix+"_mul", x0, x2, t4), - c.call(f1mPrefix+"_mul", x1, x2, t5), - - c.call(mulNonResidueFn, t5, c0), - c.call(f1mPrefix+"_sub", t0, c0, c0), - - c.call(mulNonResidueFn, t2, c1), - c.call(f1mPrefix+"_sub", c1, t3, c1), - - c.call(f1mPrefix+"_sub", t1, t4, c2), - - c.call(f1mPrefix+"_mul", x2, c1, t6), - c.call(f1mPrefix+"_mul", x1, c2, AUX), - c.call(f1mPrefix+"_add", t6, AUX, t6), - c.call(mulNonResidueFn, t6, t6), - c.call(f1mPrefix+"_mul", x0, c0, AUX), - c.call(f1mPrefix+"_add", AUX, t6, t6), - - c.call(f1mPrefix+"_inverse", t6, t6), - - c.call(f1mPrefix+"_mul", t6, c0, r0), - c.call(f1mPrefix+"_mul", t6, c1, r1), - c.call(f1mPrefix+"_mul", t6, c2, r2) - ); - } - - - function buildSign() { - const f = module.addFunction(prefix+"_sign"); - f.addParam("x", "i32"); - f.addLocal("s", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(2*f1n8)); - - f.addCode( - c.setLocal("s" , c.call( f1mPrefix + "_sign", x2)), - c.if( - c.getLocal("s"), - c.ret(c.getLocal("s")) - ), - c.setLocal("s" , c.call( f1mPrefix + "_sign", x1)), - c.if( - c.getLocal("s"), - c.ret(c.getLocal("s")) - ), - c.ret(c.call( f1mPrefix + "_sign", x0)) - ); - } - - function buildIsOne() { - const f = module.addFunction(prefix+"_isOne"); - f.addParam("x", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(f1n8*2)); - - f.addCode( - c.ret( - c.i32_and( - c.i32_and( - c.call(f1mPrefix + "_isOne", x0), - c.call(f1mPrefix + "_isZero", x1) - ), - c.call(f1mPrefix + "_isZero", x2) - ) - ) - ); - } - - buildIsZero(); - buildIsOne(); - buildZero(); - buildOne(); - buildCopy(); - buildMul(); - buildSquare(); - buildAdd(); - buildSub(); - buildNeg(); - buildSign(); - buildToMontgomery(); - buildFromMontgomery(); - buildEq(); - buildInverse(); - buildTimesScalar(); - buildIsNegative(); - - module.exportFunction(prefix + "_isZero"); - module.exportFunction(prefix + "_isOne"); - module.exportFunction(prefix + "_zero"); - module.exportFunction(prefix + "_one"); - module.exportFunction(prefix + "_copy"); - module.exportFunction(prefix + "_mul"); - module.exportFunction(prefix + "_square"); - module.exportFunction(prefix + "_add"); - module.exportFunction(prefix + "_sub"); - module.exportFunction(prefix + "_neg"); - module.exportFunction(prefix + "_sign"); - module.exportFunction(prefix + "_fromMontgomery"); - module.exportFunction(prefix + "_toMontgomery"); - module.exportFunction(prefix + "_eq"); - module.exportFunction(prefix + "_inverse"); - buildBatchInverse(module, prefix); - buildExp( - module, - prefix + "_exp", - f1n8*3, - prefix + "_mul", - prefix + "_square", - prefix + "_copy", - prefix + "_one" - ); - module.exportFunction(prefix + "_exp"); - module.exportFunction(prefix + "_timesScalar"); - module.exportFunction(prefix + "_batchInverse"); - module.exportFunction(prefix + "_isNegative"); - - return prefix; -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -var build_timesscalarnaf = function buildTimesScalarNAF(module, fnName, elementLen, opAB, opAA, opAmB, opCopy, opInit) { - - const f = module.addFunction(fnName); - f.addParam("base", "i32"); - f.addParam("scalar", "i32"); - f.addParam("scalarLength", "i32"); - f.addParam("r", "i32"); - f.addLocal("old0", "i32"); - f.addLocal("nbits", "i32"); - f.addLocal("i", "i32"); - f.addLocal("last", "i32"); - f.addLocal("cur", "i32"); - f.addLocal("carry", "i32"); - f.addLocal("p", "i32"); - - const c = f.getCodeBuilder(); - - const aux = c.i32_const(module.alloc(elementLen)); - - function getBit(IDX) { - return c.i32_and( - c.i32_shr_u( - c.i32_load( - c.i32_add( - c.getLocal("scalar"), - c.i32_and( - c.i32_shr_u( - IDX, - c.i32_const(3) - ), - c.i32_const(0xFFFFFFFC) - ) - ) - ), - c.i32_and( - IDX, - c.i32_const(0x1F) - ) - ), - c.i32_const(1) - ); - } - - function pushBit(b) { - return [ - ...c.i32_store8( - c.getLocal("p"), - c.i32_const(b) - ), - ...c.setLocal( - "p", - c.i32_add( - c.getLocal("p"), - c.i32_const(1) - ) - ) - ]; - } - - f.addCode( - c.if( - c.i32_eqz(c.getLocal("scalarLength")), - [ - ...c.call(opInit, c.getLocal("r")), - ...c.ret([]) - ] - ), - c.setLocal("nbits", c.i32_shl(c.getLocal("scalarLength"), c.i32_const(3))), - c.setLocal("old0", c.i32_load(c.i32_const(0))), - c.setLocal("p", c.getLocal("old0")), - c.i32_store( - c.i32_const(0), - c.i32_and( - c.i32_add( - c.i32_add( - c.getLocal("old0"), - c.i32_const(32) - ), - c.getLocal("nbits") - ), - c.i32_const(0xFFFFFFF8) - ) - ), - c.setLocal("i", c.i32_const(1)), - - c.setLocal("last",getBit(c.i32_const(0))), - c.setLocal("carry",c.i32_const(0)), - - c.block(c.loop( - c.br_if(1, c.i32_eq( c.getLocal("i"), c.getLocal("nbits"))), - - c.setLocal("cur", getBit(c.getLocal("i"))), - c.if( c.getLocal("last"), - c.if( c.getLocal("cur"), - c.if(c.getLocal("carry"), - [ - ...c.setLocal("last", c.i32_const(0)), - ...c.setLocal("carry", c.i32_const(1)), - ...pushBit(1) - ] - , - [ - ...c.setLocal("last", c.i32_const(0)), - ...c.setLocal("carry", c.i32_const(1)), - ...pushBit(255) - ], - ), - c.if(c.getLocal("carry"), - [ - ...c.setLocal("last", c.i32_const(0)), - ...c.setLocal("carry", c.i32_const(1)), - ...pushBit(255) - ] - , - [ - ...c.setLocal("last", c.i32_const(0)), - ...c.setLocal("carry", c.i32_const(0)), - ...pushBit(1) - ], - ), - ), - c.if( c.getLocal("cur"), - c.if(c.getLocal("carry"), - [ - ...c.setLocal("last", c.i32_const(0)), - ...c.setLocal("carry", c.i32_const(1)), - ...pushBit(0) - ] - , - [ - ...c.setLocal("last", c.i32_const(1)), - ...c.setLocal("carry", c.i32_const(0)), - ...pushBit(0) - ], - ), - c.if(c.getLocal("carry"), - [ - ...c.setLocal("last", c.i32_const(1)), - ...c.setLocal("carry", c.i32_const(0)), - ...pushBit(0) - ] - , - [ - ...c.setLocal("last", c.i32_const(0)), - ...c.setLocal("carry", c.i32_const(0)), - ...pushBit(0) - ], - ), - ) - ), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )), - - c.if( c.getLocal("last"), - c.if(c.getLocal("carry"), - [ - ...pushBit(255), - ...pushBit(0), - ...pushBit(1) - ] - , - [ - ...pushBit(1) - ], - ), - c.if(c.getLocal("carry"), - [ - ...pushBit(0), - ...pushBit(1) - ] - ), - ), - - c.setLocal("p", c.i32_sub(c.getLocal("p"), c.i32_const(1))), - - // p already points to the last bit - - c.call(opCopy, c.getLocal("base"), aux), - - c.call(opInit, c.getLocal("r")), - - c.block(c.loop( - - - c.call(opAA, c.getLocal("r"), c.getLocal("r")), - - - c.setLocal("cur", - c.i32_load8_u( - c.getLocal("p") - ) - ), - - c.if( - c.getLocal("cur"), - c.if( - c.i32_eq(c.getLocal("cur"), c.i32_const(1)), - c.call(opAB, c.getLocal("r"), aux, c.getLocal("r")), - c.call(opAmB, c.getLocal("r"), aux, c.getLocal("r")), - ) - ), - - c.br_if(1, c.i32_eq( c.getLocal("old0"), c.getLocal("p"))), - c.setLocal("p", c.i32_sub(c.getLocal("p"), c.i32_const(1))), - c.br(0) - - )), - - c.i32_store( c.i32_const(0), c.getLocal("old0")) - - ); - -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -var build_multiexp = function buildMultiexp(module, prefix, fnName, opAdd, n8b) { - - const n64g = module.modules[prefix].n64; - const n8g = n64g*8; - - function buildGetChunk() { - const f = module.addFunction(fnName + "_getChunk"); - f.addParam("pScalar", "i32"); - f.addParam("scalarSize", "i32"); // Number of bytes of the scalar - f.addParam("startBit", "i32"); // Bit to start extract - f.addParam("chunkSize", "i32"); // Chunk size in bits - f.addLocal("bitsToEnd", "i32"); - f.addLocal("mask", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.setLocal("bitsToEnd", - c.i32_sub( - c.i32_mul( - c.getLocal("scalarSize"), - c.i32_const(8) - ), - c.getLocal("startBit") - ) - ), - c.if( - c.i32_gt_s( - c.getLocal("chunkSize"), - c.getLocal("bitsToEnd") - ), - c.setLocal( - "mask", - c.i32_sub( - c.i32_shl( - c.i32_const(1), - c.getLocal("bitsToEnd") - ), - c.i32_const(1) - ) - ), - c.setLocal( - "mask", - c.i32_sub( - c.i32_shl( - c.i32_const(1), - c.getLocal("chunkSize") - ), - c.i32_const(1) - ) - ) - ), - c.i32_and( - c.i32_shr_u( - c.i32_load( - c.i32_add( - c.getLocal("pScalar"), - c.i32_shr_u( - c.getLocal("startBit"), - c.i32_const(3) - ) - ), - 0, // offset - 0 // align to byte. - ), - c.i32_and( - c.getLocal("startBit"), - c.i32_const(0x7) - ) - ), - c.getLocal("mask") - ) - ); - } - - function buildMutiexpChunk() { - const f = module.addFunction(fnName + "_chunk"); - f.addParam("pBases", "i32"); - f.addParam("pScalars", "i32"); - f.addParam("scalarSize", "i32"); // Number of points - f.addParam("n", "i32"); // Number of points - f.addParam("startBit", "i32"); // bit where it starts the chunk - f.addParam("chunkSize", "i32"); // bit where it starts the chunk - f.addParam("pr", "i32"); - f.addLocal("nChunks", "i32"); - f.addLocal("itScalar", "i32"); - f.addLocal("endScalar", "i32"); - f.addLocal("itBase", "i32"); - f.addLocal("i", "i32"); - f.addLocal("j", "i32"); - f.addLocal("nTable", "i32"); - f.addLocal("pTable", "i32"); - f.addLocal("idx", "i32"); - f.addLocal("pIdxTable", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.if( - c.i32_eqz(c.getLocal("n")), - [ - ...c.call(prefix + "_zero", c.getLocal("pr")), - ...c.ret([]) - ] - ), - - // Allocate memory - - c.setLocal( - "nTable", - c.i32_shl( - c.i32_const(1), - c.getLocal("chunkSize") - ) - ), - c.setLocal("pTable", c.i32_load( c.i32_const(0) )), - c.i32_store( - c.i32_const(0), - c.i32_add( - c.getLocal("pTable"), - c.i32_mul( - c.getLocal("nTable"), - c.i32_const(n8g) - ) - ) - ), - - // Reset Table - c.setLocal("j", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("j"), - c.getLocal("nTable") - ) - ), - - c.call( - prefix + "_zero", - c.i32_add( - c.getLocal("pTable"), - c.i32_mul( - c.getLocal("j"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )), - - // Distribute elements - c.setLocal("itBase", c.getLocal("pBases")), - c.setLocal("itScalar", c.getLocal("pScalars")), - c.setLocal("endScalar", - c.i32_add( - c.getLocal("pScalars"), - c.i32_mul( - c.getLocal("n"), - c.getLocal("scalarSize") - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("itScalar"), - c.getLocal("endScalar") - ) - ), - - c.setLocal( - "idx", - c.call(fnName + "_getChunk", - c.getLocal("itScalar"), - c.getLocal("scalarSize"), - c.getLocal("startBit"), - c.getLocal("chunkSize") - ) - ), - - c.if( - c.getLocal("idx"), - [ - ...c.setLocal( - "pIdxTable", - c.i32_add( - c.getLocal("pTable"), - c.i32_mul( - c.i32_sub( - c.getLocal("idx"), - c.i32_const(1) - ), - c.i32_const(n8g) - ) - ) - ), - ...c.call( - opAdd, - c.getLocal("pIdxTable"), - c.getLocal("itBase"), - c.getLocal("pIdxTable"), - ) - ] - ), - - c.setLocal("itScalar", c.i32_add(c.getLocal("itScalar"), c.getLocal("scalarSize"))), - c.setLocal("itBase", c.i32_add(c.getLocal("itBase"), c.i32_const(n8b))), - c.br(0) - )), - - c.call(fnName + "_reduceTable", c.getLocal("pTable"), c.getLocal("chunkSize")), - c.call( - prefix + "_copy", - c.getLocal("pTable"), - c.getLocal("pr") - ), - - - c.i32_store( - c.i32_const(0), - c.getLocal("pTable") - ) - - ); - } - - function buildMultiexp() { - const f = module.addFunction(fnName); - f.addParam("pBases", "i32"); - f.addParam("pScalars", "i32"); - f.addParam("scalarSize", "i32"); // Number of points - f.addParam("n", "i32"); // Number of points - f.addParam("pr", "i32"); - f.addLocal("chunkSize", "i32"); - f.addLocal("nChunks", "i32"); - f.addLocal("itScalar", "i32"); - f.addLocal("endScalar", "i32"); - f.addLocal("itBase", "i32"); - f.addLocal("itBit", "i32"); - f.addLocal("i", "i32"); - f.addLocal("j", "i32"); - f.addLocal("nTable", "i32"); - f.addLocal("pTable", "i32"); - f.addLocal("idx", "i32"); - f.addLocal("pIdxTable", "i32"); - - const c = f.getCodeBuilder(); - - const aux = c.i32_const(module.alloc(n8g)); - - const pTSizes = module.alloc([ - 17, 17, 17, 17, 17, 17, 17, 17, - 17, 17, 16, 16, 15, 14, 13, 13, - 12, 11, 10, 9, 8, 7, 7, 6, - 5 , 4, 3, 2, 1, 1, 1, 1 - ]); - - f.addCode( - c.call(prefix + "_zero", c.getLocal("pr")), - c.if( - c.i32_eqz(c.getLocal("n")), - c.ret([]) - ), - c.setLocal("chunkSize", c.i32_load8_u( c.i32_clz(c.getLocal("n")), pTSizes )), - c.setLocal( - "nChunks", - c.i32_add( - c.i32_div_u( - c.i32_sub( - c.i32_shl( - c.getLocal("scalarSize"), - c.i32_const(3) - ), - c.i32_const(1) - ), - c.getLocal("chunkSize") - ), - c.i32_const(1) - ) - ), - - - // Allocate memory - - c.setLocal( - "itBit", - c.i32_mul( - c.i32_sub( - c.getLocal("nChunks"), - c.i32_const(1) - ), - c.getLocal("chunkSize") - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_lt_s( - c.getLocal("itBit"), - c.i32_const(0) - ) - ), - - // Double nChunk times - c.if( - c.i32_eqz(c.call(prefix + "_isZero", c.getLocal("pr"))), - [ - ...c.setLocal("j", c.i32_const(0)), - ...c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("j"), - c.getLocal("chunkSize") - ) - ), - - c.call(prefix + "_double", c.getLocal("pr"), c.getLocal("pr")), - - c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )) - ] - ), - - c.call( - fnName + "_chunk", - c.getLocal("pBases"), - c.getLocal("pScalars"), - c.getLocal("scalarSize"), - c.getLocal("n"), - c.getLocal("itBit"), - c.getLocal("chunkSize"), - aux - ), - - c.call( - prefix + "_add", - c.getLocal("pr"), - aux, - c.getLocal("pr") - ), - c.setLocal("itBit", c.i32_sub(c.getLocal("itBit"), c.getLocal("chunkSize"))), - c.br(0) - )) - ); - } - - function buildReduceTable() { - const f = module.addFunction(fnName + "_reduceTable"); - f.addParam("pTable", "i32"); - f.addParam("p", "i32"); // Number of bits of the table - f.addLocal("half", "i32"); - f.addLocal("it1", "i32"); - f.addLocal("it2", "i32"); - f.addLocal("pAcc", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.if( - c.i32_eq(c.getLocal("p"), c.i32_const(1)), - c.ret([]) - ), - c.setLocal( - "half", - c.i32_shl( - c.i32_const(1), - c.i32_sub( - c.getLocal("p"), - c.i32_const(1) - ) - ) - ), - - c.setLocal("it1", c.getLocal("pTable")), - c.setLocal( - "it2", - c.i32_add( - c.getLocal("pTable"), - c.i32_mul( - c.getLocal("half"), - c.i32_const(n8g) - ) - ) - ), - c.setLocal("pAcc", - c.i32_sub( - c.getLocal("it2"), - c.i32_const(n8g) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("it1"), - c.getLocal("pAcc") - ) - ), - c.call( - prefix + "_add", - c.getLocal("it1"), - c.getLocal("it2"), - c.getLocal("it1") - ), - c.call( - prefix + "_add", - c.getLocal("pAcc"), - c.getLocal("it2"), - c.getLocal("pAcc") - ), - c.setLocal("it1", c.i32_add(c.getLocal("it1"), c.i32_const(n8g))), - c.setLocal("it2", c.i32_add(c.getLocal("it2"), c.i32_const(n8g))), - c.br(0) - )), - - c.call( - fnName + "_reduceTable", - c.getLocal("pTable"), - c.i32_sub( - c.getLocal("p"), - c.i32_const(1) - ) - ), - - c.setLocal("p", c.i32_sub(c.getLocal("p"), c.i32_const(1))), - c.block(c.loop( - c.br_if(1, c.i32_eqz(c.getLocal("p"))), - c.call(prefix + "_double", c.getLocal("pAcc"), c.getLocal("pAcc")), - c.setLocal("p", c.i32_sub(c.getLocal("p"), c.i32_const(1))), - c.br(0) - )), - - c.call(prefix + "_add", c.getLocal("pTable"), c.getLocal("pAcc"), c.getLocal("pTable")) - ); - } - - buildGetChunk(); - buildReduceTable(); - buildMutiexpChunk(); - buildMultiexp(); - - module.exportFunction(fnName); - module.exportFunction(fnName +"_chunk"); - - -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -const buildTimesScalarNAF = build_timesscalarnaf; -//const buildTimesScalar = require("./build_timesscalar"); -const buildBatchConvertion = build_batchconvertion; -const buildMultiexp$1 = build_multiexp; - -var build_curve_jacobian_a0 = function buildCurve(module, prefix, prefixField, pB) { - - - const n64 = module.modules[prefixField].n64; - const n8 = n64*8; - - if (module.modules[prefix]) return prefix; // already builded - module.modules[prefix] = { - n64: n64*3 - }; - - function buildIsZero() { - const f = module.addFunction(prefix + "_isZero"); - f.addParam("p1", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - f.addCode(c.call( - prefixField + "_isZero", - c.i32_add( - c.getLocal("p1"), - c.i32_const(n8*2) - ) - )); - } - function buildIsZeroAffine() { - const f = module.addFunction(prefix + "_isZeroAffine"); - f.addParam("p1", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.i32_and( - c.call( - prefixField + "_isZero", - c.getLocal("p1") - ), - c.call( - prefixField + "_isZero", - c.i32_add( - c.getLocal("p1"), - c.i32_const(n8) - ) - ) - ) - ); - } - - function buildCopy() { - const f = module.addFunction(prefix + "_copy"); - f.addParam("ps", "i32"); - f.addParam("pd", "i32"); - - const c = f.getCodeBuilder(); - - for (let i=0; i. -*/ - -const { isOdd: isOdd$2, modInv: modInv$1, modPow } = bigint; -const utils$3 = utils$6; - -var build_fft = function buildFFT(module, prefix, gPrefix, fPrefix, opGtimesF) { - - const n64f = module.modules[fPrefix].n64; - const n8f = n64f*8; - - const n64g = module.modules[gPrefix].n64; - const n8g = n64g*8; - - const q = module.modules[fPrefix].q; - - let rem = q - 1n; - let maxBits = 0; - while (!isOdd$2(rem)) { - maxBits ++; - rem = rem >> 1n; - } - - let nr = 2n; - - while ( modPow(nr, q >> 1n, q) === 1n ) nr = nr + 1n; - - // console.log(nr); - - const w = new Array(maxBits+1); - w[maxBits] = modPow(nr, rem, q); - - let n=maxBits-1; - while (n>=0) { - w[n] = modPow(w[n+1], 2n, q); - n--; - } - - const bytes = []; - const R = (1n << BigInt(n8f*8)) % q; - - for (let i=0; i> i); - } - } - return r; - } - - const rtable = Array(256); - for (let i=0; i<256; i++) { - rtable[i] = rev(i); - } - - const REVTABLE = module.alloc(rtable); - - - function buildLog2() { - const f = module.addFunction(prefix+"__log2"); - f.addParam("n", "i32"); - f.setReturnType("i32"); - f.addLocal("bits", "i32"); - f.addLocal("aux", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.setLocal( - "aux", - c.i32_shr_u( - c.getLocal("n"), - c.i32_const(1) - ) - ) - ); - f.addCode(c.setLocal("bits", c.i32_const(0))); - - f.addCode(c.block(c.loop( - c.br_if( - 1, - c.i32_eqz(c.getLocal("aux")) - ), - - c.setLocal( - "aux", - c.i32_shr_u( - c.getLocal("aux"), - c.i32_const(1) - ) - ), - - c.setLocal( - "bits", - c.i32_add( - c.getLocal("bits"), - c.i32_const(1) - ) - ), - - c.br(0) - ))); - - f.addCode(c.if( - c.i32_ne( - c.getLocal("n"), - c.i32_shl( - c.i32_const(1), - c.getLocal("bits") - ) - ), - c.unreachable() - )); - - f.addCode(c.if( - c.i32_gt_u( - c.getLocal("bits"), - c.i32_const(maxBits) - ), - c.unreachable() - )); - - f.addCode(c.getLocal("bits")); - } - - function buildFFT() { - const f = module.addFunction(prefix+"_fft"); - f.addParam("px", "i32"); - f.addParam("n", "i32"); - - f.addLocal("bits", "i32"); - - const c = f.getCodeBuilder(); - - const One = c.i32_const(module.alloc(n8f)); - - f.addCode( - c.setLocal( - "bits", - c.call( - prefix + "__log2", - c.getLocal("n") - ) - ), - c.call(fPrefix + "_one", One), - c.call( - prefix+"_rawfft", - c.getLocal("px"), - c.getLocal("bits"), - c.i32_const(0), - One - ) - ); - - } - - function buildIFFT() { - const f = module.addFunction(prefix+"_ifft"); - f.addParam("px", "i32"); - f.addParam("n", "i32"); - f.addLocal("bits", "i32"); - f.addLocal("pInv2", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.setLocal( - "bits", - c.call( - prefix + "__log2", - c.getLocal("n") - ) - ), - c.setLocal( - "pInv2", - c.i32_add( - c.i32_const(INV2), - c.i32_mul( - c.getLocal("bits"), - c.i32_const(n8f) - ) - ) - ), - - c.call( - prefix+"_rawfft", - c.getLocal("px"), - c.getLocal("bits"), - c.i32_const(1), - c.getLocal("pInv2") - ), - ); - } - - function buildRawFFT() { - const f = module.addFunction(prefix+"_rawfft"); - f.addParam("px", "i32"); - f.addParam("bits", "i32"); // 2 power - f.addParam("reverse", "i32"); - f.addParam("mulFactor", "i32"); - - f.addLocal("s", "i32"); - f.addLocal("k", "i32"); - f.addLocal("j", "i32"); - f.addLocal("m", "i32"); - f.addLocal("mdiv2", "i32"); - f.addLocal("n", "i32"); - f.addLocal("pwm", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - - const c = f.getCodeBuilder(); - - const W = c.i32_const(module.alloc(n8f)); - const T = c.i32_const(module.alloc(n8g)); - const U = c.i32_const(module.alloc(n8g)); - - f.addCode( - c.call(prefix + "__reversePermutation", c.getLocal("px"), c.getLocal("bits")), - c.setLocal("n", c.i32_shl(c.i32_const(1), c.getLocal("bits"))), - c.setLocal("s", c.i32_const(1)), - c.block(c.loop( - c.br_if( - 1, - c.i32_gt_u( - c.getLocal("s"), - c.getLocal("bits") - ) - ), - c.setLocal("m", c.i32_shl(c.i32_const(1), c.getLocal("s"))), - c.setLocal("pwm", - c.i32_add( - c.i32_const(ROOTs), - c.i32_mul( - c.getLocal("s"), - c.i32_const(n8f) - ) - ) - ), - c.setLocal("k", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_ge_u( - c.getLocal("k"), - c.getLocal("n") - ) - ), - - c.call(fPrefix + "_one", W), - - c.setLocal("mdiv2", c.i32_shr_u(c.getLocal("m"), c.i32_const(1)) ), - c.setLocal("j", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_ge_u( - c.getLocal("j"), - c.getLocal("mdiv2") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.i32_add( - c.getLocal("k"), - c.getLocal("j") - ), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("idx1"), - c.i32_mul( - c.getLocal("mdiv2"), - c.i32_const(n8g) - ) - ) - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - W, - T - ), - - c.call( - gPrefix + "_copy", - c.getLocal("idx1"), - U - ), - - c.call( - gPrefix + "_add", - U, - T, - c.getLocal("idx1"), - ), - - c.call( - gPrefix + "_sub", - U, - T, - c.getLocal("idx2"), - ), - - c.call( - fPrefix + "_mul", - W, - c.getLocal("pwm"), - W, - ), - - c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )), - - c.setLocal("k", c.i32_add(c.getLocal("k"), c.getLocal("m"))), - c.br(0) - )), - - c.setLocal("s", c.i32_add(c.getLocal("s"), c.i32_const(1))), - c.br(0) - )), - c.call( - prefix + "__fftFinal", - c.getLocal("px"), - c.getLocal("bits"), - c.getLocal("reverse"), - c.getLocal("mulFactor") - ) - ); - } - - - function buildFinalInverse() { - const f = module.addFunction(prefix+"__fftFinal"); - f.addParam("px", "i32"); - f.addParam("bits", "i32"); - f.addParam("reverse", "i32"); - f.addParam("mulFactor", "i32"); - f.addLocal("n", "i32"); - f.addLocal("ndiv2", "i32"); - f.addLocal("pInv2", "i32"); - f.addLocal("i", "i32"); - f.addLocal("mask", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - - const c = f.getCodeBuilder(); - - const T = c.i32_const(module.alloc(n8g)); - - f.addCode( - c.if( - c.i32_and( - c.i32_eqz(c.getLocal("reverse")), - c.call(fPrefix + "_isOne", c.getLocal("mulFactor")) - ), - c.ret([]) - ), - c.setLocal("n", c.i32_shl( c.i32_const(1), c.getLocal("bits"))), - - c.setLocal("mask", c.i32_sub( c.getLocal("n") , c.i32_const(1))), - c.setLocal("i", c.i32_const(1)), - c.setLocal( - "ndiv2", - c.i32_shr_u( - c.getLocal("n"), - c.i32_const(1) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_ge_u( - c.getLocal("i"), - c.getLocal("ndiv2") - ) - ), - - c.setLocal("idx1", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal("idx2", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.i32_sub( - c.getLocal("n"), - c.getLocal("i") - ), - c.i32_const(n8g) - ) - ) - ), - - c.if( - c.getLocal("reverse"), - c.if( - c.call(fPrefix + "_isOne", c.getLocal("mulFactor")), - [ - ...c.call(gPrefix + "_copy", c.getLocal("idx1"), T), - ...c.call(gPrefix + "_copy", c.getLocal("idx2") , c.getLocal("idx1") ), - ...c.call(gPrefix + "_copy", T , c.getLocal("idx2")), - ], - [ - ...c.call(gPrefix + "_copy", c.getLocal("idx1"), T), - ...c.call(opGtimesF , c.getLocal("idx2") , c.getLocal("mulFactor"), c.getLocal("idx1") ), - ...c.call(opGtimesF , T , c.getLocal("mulFactor"), c.getLocal("idx2")), - ] - ), - c.if( - c.call(fPrefix + "_isOne", c.getLocal("mulFactor")), - [ - // Do nothing (It should not be here) - ], - [ - ...c.call(opGtimesF , c.getLocal("idx1") , c.getLocal("mulFactor"), c.getLocal("idx1") ), - ...c.call(opGtimesF , c.getLocal("idx2") , c.getLocal("mulFactor"), c.getLocal("idx2")), - ] - ) - ), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - - c.br(0) - )), - - c.if( - c.call(fPrefix + "_isOne", c.getLocal("mulFactor")), - [ - // Do nothing (It should not be here) - ], - [ - ...c.call(opGtimesF, c.getLocal("px") , c.getLocal("mulFactor"), c.getLocal("px")), - ...c.setLocal("idx2", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.getLocal("ndiv2"), - c.i32_const(n8g) - ) - ) - ), - ...c.call(opGtimesF, c.getLocal("idx2"),c.getLocal("mulFactor"), c.getLocal("idx2")) - ] - ) - ); - } - - function buildReversePermutation() { - const f = module.addFunction(prefix+"__reversePermutation"); - f.addParam("px", "i32"); - f.addParam("bits", "i32"); - f.addLocal("n", "i32"); - f.addLocal("i", "i32"); - f.addLocal("ri", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - - const c = f.getCodeBuilder(); - - const T = c.i32_const(module.alloc(n8g)); - - f.addCode( - c.setLocal("n", c.i32_shl( c.i32_const(1), c.getLocal("bits"))), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("n") - ) - ), - - c.setLocal("idx1", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal("ri", c.call(prefix + "__rev", c.getLocal("i"), c.getLocal("bits"))), - - c.setLocal("idx2", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.getLocal("ri"), - c.i32_const(n8g) - ) - ) - ), - - c.if( - c.i32_lt_u( - c.getLocal("i"), - c.getLocal("ri") - ), - [ - ...c.call(gPrefix + "_copy", c.getLocal("idx1"), T), - ...c.call(gPrefix + "_copy", c.getLocal("idx2") , c.getLocal("idx1")), - ...c.call(gPrefix + "_copy", T , c.getLocal("idx2")) - ] - ), - - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - - c.br(0) - )) - ); - } - - function buildRev() { - const f = module.addFunction(prefix+"__rev"); - f.addParam("x", "i32"); - f.addParam("bits", "i32"); - f.setReturnType("i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.i32_rotl( - c.i32_add( - c.i32_add( - c.i32_shl( - c.i32_load8_u( - c.i32_and( - c.getLocal("x"), - c.i32_const(0xFF) - ), - REVTABLE, - 0 - ), - c.i32_const(24) - ), - c.i32_shl( - c.i32_load8_u( - c.i32_and( - c.i32_shr_u( - c.getLocal("x"), - c.i32_const(8) - ), - c.i32_const(0xFF) - ), - REVTABLE, - 0 - ), - c.i32_const(16) - ), - ), - c.i32_add( - c.i32_shl( - c.i32_load8_u( - c.i32_and( - c.i32_shr_u( - c.getLocal("x"), - c.i32_const(16) - ), - c.i32_const(0xFF) - ), - REVTABLE, - 0 - ), - c.i32_const(8) - ), - c.i32_load8_u( - c.i32_and( - c.i32_shr_u( - c.getLocal("x"), - c.i32_const(24) - ), - c.i32_const(0xFF) - ), - REVTABLE, - 0 - ), - ) - ), - c.getLocal("bits") - ) - ); - } - - - function buildFFTJoin() { - const f = module.addFunction(prefix+"_fftJoin"); - f.addParam("pBuff1", "i32"); - f.addParam("pBuff2", "i32"); - f.addParam("n", "i32"); - f.addParam("first", "i32"); - f.addParam("inc", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - const W = c.i32_const(module.alloc(n8f)); - const T = c.i32_const(module.alloc(n8g)); - const U = c.i32_const(module.alloc(n8g)); - - f.addCode( - c.call( fPrefix + "_copy", c.getLocal("first"), W), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("n") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("pBuff1"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("pBuff2"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - W, - T - ), - - c.call( - gPrefix + "_copy", - c.getLocal("idx1"), - U - ), - - c.call( - gPrefix + "_add", - U, - T, - c.getLocal("idx1"), - ), - - c.call( - gPrefix + "_sub", - U, - T, - c.getLocal("idx2"), - ), - - c.call( - fPrefix + "_mul", - W, - c.getLocal("inc"), - W, - ), - - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - - function buildFFTJoinExt() { - const f = module.addFunction(prefix+"_fftJoinExt"); - f.addParam("pBuff1", "i32"); - f.addParam("pBuff2", "i32"); - f.addParam("n", "i32"); - f.addParam("first", "i32"); - f.addParam("inc", "i32"); - f.addParam("totalBits", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - f.addLocal("i", "i32"); - f.addLocal("pShiftToM", "i32"); - - const c = f.getCodeBuilder(); - - const W = c.i32_const(module.alloc(n8f)); - const U = c.i32_const(module.alloc(n8g)); - - f.addCode( - - c.setLocal("pShiftToM", - c.i32_add( - c.i32_const(SHIFT_TO_M), - c.i32_mul( - c.getLocal("totalBits"), - c.i32_const(n8f) - ) - ) - ), - - - c.call( fPrefix + "_copy", c.getLocal("first"), W), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("n") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("pBuff1"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("pBuff2"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.call( - gPrefix + "_add", - c.getLocal("idx1"), - c.getLocal("idx2"), - U - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - c.getLocal("pShiftToM"), - c.getLocal("idx2") - ), - - c.call( - gPrefix + "_add", - c.getLocal("idx1"), - c.getLocal("idx2"), - c.getLocal("idx2") - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - W, - c.getLocal("idx2"), - ), - - c.call( - gPrefix + "_copy", - U, - c.getLocal("idx1") - ), - - c.call( - fPrefix + "_mul", - W, - c.getLocal("inc"), - W - ), - - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - function buildFFTJoinExtInv() { - const f = module.addFunction(prefix+"_fftJoinExtInv"); - f.addParam("pBuff1", "i32"); - f.addParam("pBuff2", "i32"); - f.addParam("n", "i32"); - f.addParam("first", "i32"); - f.addParam("inc", "i32"); - f.addParam("totalBits", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - f.addLocal("i", "i32"); - f.addLocal("pShiftToM", "i32"); - f.addLocal("pSConst", "i32"); - - const c = f.getCodeBuilder(); - - const W = c.i32_const(module.alloc(n8f)); - const U = c.i32_const(module.alloc(n8g)); - - f.addCode( - - c.setLocal("pShiftToM", - c.i32_add( - c.i32_const(SHIFT_TO_M), - c.i32_mul( - c.getLocal("totalBits"), - c.i32_const(n8f) - ) - ) - ), - c.setLocal("pSConst", - c.i32_add( - c.i32_const(SCONST), - c.i32_mul( - c.getLocal("totalBits"), - c.i32_const(n8f) - ) - ) - ), - - - c.call( fPrefix + "_copy", c.getLocal("first"), W), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("n") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("pBuff1"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("pBuff2"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - W, - U - ), - - c.call( - gPrefix + "_sub", - c.getLocal("idx1"), - U, - c.getLocal("idx2"), - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - c.getLocal("pSConst"), - c.getLocal("idx2") - ), - - c.call( - opGtimesF, - c.getLocal("idx1"), - c.getLocal("pShiftToM"), - c.getLocal("idx1") - ), - - c.call( - gPrefix + "_sub", - U, - c.getLocal("idx1"), - c.getLocal("idx1") - ), - - c.call( - opGtimesF, - c.getLocal("idx1"), - c.getLocal("pSConst"), - c.getLocal("idx1") - ), - - c.call( - fPrefix + "_mul", - W, - c.getLocal("inc"), - W - ), - - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - - - function buildPrepareLagrangeEvaluation() { - const f = module.addFunction(prefix+"_prepareLagrangeEvaluation"); - f.addParam("pBuff1", "i32"); - f.addParam("pBuff2", "i32"); - f.addParam("n", "i32"); - f.addParam("first", "i32"); - f.addParam("inc", "i32"); - f.addParam("totalBits", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - f.addLocal("i", "i32"); - f.addLocal("pShiftToM", "i32"); - f.addLocal("pSConst", "i32"); - - const c = f.getCodeBuilder(); - - const W = c.i32_const(module.alloc(n8f)); - const U = c.i32_const(module.alloc(n8g)); - - f.addCode( - - c.setLocal("pShiftToM", - c.i32_add( - c.i32_const(SHIFT_TO_M), - c.i32_mul( - c.getLocal("totalBits"), - c.i32_const(n8f) - ) - ) - ), - c.setLocal("pSConst", - c.i32_add( - c.i32_const(SCONST), - c.i32_mul( - c.getLocal("totalBits"), - c.i32_const(n8f) - ) - ) - ), - - - c.call( fPrefix + "_copy", c.getLocal("first"), W), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("n") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("pBuff1"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("pBuff2"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - - c.call( - opGtimesF, - c.getLocal("idx1"), - c.getLocal("pShiftToM"), - U - ), - - c.call( - gPrefix + "_sub", - c.getLocal("idx2"), - U, - U - ), - - c.call( - gPrefix + "_sub", - c.getLocal("idx1"), - c.getLocal("idx2"), - c.getLocal("idx2"), - ), - - c.call( - opGtimesF, - U, - c.getLocal("pSConst"), - c.getLocal("idx1"), - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - W, - c.getLocal("idx2"), - ), - - c.call( - fPrefix + "_mul", - W, - c.getLocal("inc"), - W - ), - - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - function buildFFTMix() { - const f = module.addFunction(prefix+"_fftMix"); - f.addParam("pBuff", "i32"); - f.addParam("n", "i32"); - f.addParam("exp", "i32"); - f.addLocal("nGroups", "i32"); - f.addLocal("nPerGroup", "i32"); - f.addLocal("nPerGroupDiv2", "i32"); - f.addLocal("pairOffset", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - f.addLocal("i", "i32"); - f.addLocal("j", "i32"); - f.addLocal("pwm", "i32"); - - const c = f.getCodeBuilder(); - - const W = c.i32_const(module.alloc(n8f)); - const T = c.i32_const(module.alloc(n8g)); - const U = c.i32_const(module.alloc(n8g)); - - f.addCode( - c.setLocal("nPerGroup", c.i32_shl(c.i32_const(1), c.getLocal("exp"))), - c.setLocal("nPerGroupDiv2", c.i32_shr_u(c.getLocal("nPerGroup"), c.i32_const(1))), - c.setLocal("nGroups", c.i32_shr_u(c.getLocal("n"), c.getLocal("exp"))), - c.setLocal("pairOffset", c.i32_mul(c.getLocal("nPerGroupDiv2"), c.i32_const(n8g))), - c.setLocal("pwm", - c.i32_add( - c.i32_const(ROOTs), - c.i32_mul( - c.getLocal("exp"), - c.i32_const(n8f) - ) - ) - ), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("nGroups") - ) - ), - c.call( fPrefix + "_one", W), - c.setLocal("j", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("j"), - c.getLocal("nPerGroupDiv2") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("pBuff"), - c.i32_mul( - c.i32_add( - c.i32_mul( - c.getLocal("i"), - c.getLocal("nPerGroup") - ), - c.getLocal("j") - ), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("idx1"), - c.getLocal("pairOffset") - ) - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - W, - T - ), - - c.call( - gPrefix + "_copy", - c.getLocal("idx1"), - U - ), - - c.call( - gPrefix + "_add", - U, - T, - c.getLocal("idx1"), - ), - - c.call( - gPrefix + "_sub", - U, - T, - c.getLocal("idx2"), - ), - - c.call( - fPrefix + "_mul", - W, - c.getLocal("pwm"), - W, - ), - c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - - // Reverse all and multiply by factor - function buildFFTFinal() { - const f = module.addFunction(prefix+"_fftFinal"); - f.addParam("pBuff", "i32"); - f.addParam("n", "i32"); - f.addParam("factor", "i32"); - f.addLocal("idx1", "i32"); - f.addLocal("idx2", "i32"); - f.addLocal("i", "i32"); - f.addLocal("ndiv2", "i32"); - - const c = f.getCodeBuilder(); - - const T = c.i32_const(module.alloc(n8g)); - - f.addCode( - c.setLocal("ndiv2", c.i32_shr_u(c.getLocal("n"), c.i32_const(1))), - c.if( - c.i32_and( - c.getLocal("n"), - c.i32_const(1) - ), - c.call( - opGtimesF, - c.i32_add( - c.getLocal("pBuff"), - c.i32_mul( - c.getLocal("ndiv2"), - c.i32_const(n8g) - ) - ), - c.getLocal("factor"), - c.i32_add( - c.getLocal("pBuff"), - c.i32_mul( - c.getLocal("ndiv2"), - c.i32_const(n8g) - ) - ), - ), - ), - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_ge_u( - c.getLocal("i"), - c.getLocal("ndiv2") - ) - ), - - c.setLocal( - "idx1", - c.i32_add( - c.getLocal("pBuff"), - c.i32_mul( - c.getLocal("i"), - c.i32_const(n8g) - ) - ) - ), - - c.setLocal( - "idx2", - c.i32_add( - c.getLocal("pBuff"), - c.i32_mul( - c.i32_sub( - c.i32_sub( - c.getLocal("n"), - c.i32_const(1) - ), - c.getLocal("i") - ), - c.i32_const(n8g) - ) - ) - ), - - c.call( - opGtimesF, - c.getLocal("idx2"), - c.getLocal("factor"), - T - ), - - c.call( - opGtimesF, - c.getLocal("idx1"), - c.getLocal("factor"), - c.getLocal("idx2"), - ), - - c.call( - gPrefix + "_copy", - T, - c.getLocal("idx1"), - ), - - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - buildRev(); - buildReversePermutation(); - buildFinalInverse(); - buildRawFFT(); - buildLog2(); - buildFFT(); - buildIFFT(); - buildFFTJoin(); - buildFFTJoinExt(); - buildFFTJoinExtInv(); - buildFFTMix(); - buildFFTFinal(); - buildPrepareLagrangeEvaluation(); - - module.exportFunction(prefix+"_fft"); - module.exportFunction(prefix+"_ifft"); - module.exportFunction(prefix+"_rawfft"); - module.exportFunction(prefix+"_fftJoin"); - module.exportFunction(prefix+"_fftJoinExt"); - module.exportFunction(prefix+"_fftJoinExtInv"); - module.exportFunction(prefix+"_fftMix"); - module.exportFunction(prefix+"_fftFinal"); - module.exportFunction(prefix+"_prepareLagrangeEvaluation"); - -}; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -var build_pol = function buildPol(module, prefix, prefixField) { - - const n64 = module.modules[prefixField].n64; - const n8 = n64*8; - - - function buildZero() { - const f = module.addFunction(prefix+"_zero"); - f.addParam("px", "i32"); - f.addParam("n", "i32"); - f.addLocal("lastp", "i32"); - f.addLocal("p", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.setLocal("p", c.getLocal("px")), - c.setLocal( - "lastp", - c.i32_add( - c.getLocal("px"), - c.i32_mul( - c.getLocal("n"), - c.i32_const(n8) - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("p"), - c.getLocal("lastp") - ) - ), - c.call(prefixField + "_zero", c.getLocal("p")), - c.setLocal("p", c.i32_add(c.getLocal("p"), c.i32_const(n8))), - c.br(0) - )) - ); - } - - function buildConstructLC() { - const f = module.addFunction(prefix+"_constructLC"); - f.addParam("ppolynomials", "i32"); - f.addParam("psignals", "i32"); - f.addParam("nSignals", "i32"); - f.addParam("pres", "i32"); - f.addLocal("i", "i32"); - f.addLocal("j", "i32"); - f.addLocal("pp", "i32"); - f.addLocal("ps", "i32"); - f.addLocal("pd", "i32"); - f.addLocal("ncoefs", "i32"); - - const c = f.getCodeBuilder(); - - const aux = c.i32_const(module.alloc(n8)); - - f.addCode( - c.setLocal("i", c.i32_const(0)), - c.setLocal("pp", c.getLocal("ppolynomials")), - c.setLocal("ps", c.getLocal("psignals")), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("i"), - c.getLocal("nSignals") - ) - ), - - c.setLocal("ncoefs", c.i32_load(c.getLocal("pp"))), - c.setLocal("pp", c.i32_add(c.getLocal("pp"), c.i32_const(4))), - - c.setLocal("j", c.i32_const(0)), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("j"), - c.getLocal("ncoefs") - ) - ), - - c.setLocal( - "pd", - c.i32_add( - c.getLocal("pres"), - c.i32_mul( - c.i32_load(c.getLocal("pp")), - c.i32_const(n8) - ) - ) - ), - - c.setLocal("pp", c.i32_add(c.getLocal("pp"), c.i32_const(4))), - - - c.call( - prefixField + "_mul", - c.getLocal("ps"), - c.getLocal("pp"), - aux - ), - - c.call( - prefixField + "_add", - aux, - c.getLocal("pd"), - c.getLocal("pd") - ), - - c.setLocal("pp", c.i32_add(c.getLocal("pp"), c.i32_const(n8))), - c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), - c.br(0) - )), - - c.setLocal("ps", c.i32_add(c.getLocal("ps"), c.i32_const(n8))), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - - } - - buildZero(); - buildConstructLC(); - - - module.exportFunction(prefix + "_zero"); - module.exportFunction(prefix + "_constructLC"); - - return prefix; - - - - -}; - -var build_qap = function buildQAP(module, prefix, prefixField) { - - const n64 = module.modules[prefixField].n64; - const n8 = n64*8; - - - function buildBuildABC() { - const f = module.addFunction(prefix+"_buildABC"); - f.addParam("pCoefs", "i32"); - f.addParam("nCoefs", "i32"); - f.addParam("pWitness", "i32"); - f.addParam("pA", "i32"); - f.addParam("pB", "i32"); - f.addParam("pC", "i32"); - f.addParam("offsetOut", "i32"); - f.addParam("nOut", "i32"); - f.addParam("offsetWitness", "i32"); - f.addParam("nWitness", "i32"); - f.addLocal("it", "i32"); - f.addLocal("ita", "i32"); - f.addLocal("itb", "i32"); - f.addLocal("last", "i32"); - f.addLocal("m", "i32"); - f.addLocal("c", "i32"); - f.addLocal("s", "i32"); - f.addLocal("pOut", "i32"); - - const c = f.getCodeBuilder(); - - const aux = c.i32_const(module.alloc(n8)); - - f.addCode( - - // Set output a and b to 0 - c.setLocal("ita", c.getLocal("pA")), - c.setLocal("itb", c.getLocal("pB")), - c.setLocal( - "last", - c.i32_add( - c.getLocal("pA"), - c.i32_mul( - c.getLocal("nOut"), - c.i32_const(n8) - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("ita"), - c.getLocal("last") - ) - ), - c.call(prefixField + "_zero", c.getLocal("ita")), - c.call(prefixField + "_zero", c.getLocal("itb")), - c.setLocal("ita", c.i32_add(c.getLocal("ita"), c.i32_const(n8))), - c.setLocal("itb", c.i32_add(c.getLocal("itb"), c.i32_const(n8))), - c.br(0) - )), - - - c.setLocal("it", c.getLocal("pCoefs")), - c.setLocal( - "last", - c.i32_add( - c.getLocal("pCoefs"), - c.i32_mul( - c.getLocal("nCoefs"), - c.i32_const(n8+12) - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("it"), - c.getLocal("last") - ) - ), - c.setLocal( - "s", - c.i32_load(c.getLocal("it"), 8) - ), - c.if( - c.i32_or( - c.i32_lt_u( - c.getLocal("s"), - c.getLocal("offsetWitness"), - ), - c.i32_ge_u( - c.getLocal("s"), - c.i32_add( - c.getLocal("offsetWitness"), - c.getLocal("nWitness"), - ) - ) - ), - [ - ...c.setLocal("it", c.i32_add(c.getLocal("it"), c.i32_const(n8+12))), - ...c.br(1) - ] - ), - - c.setLocal( - "m", - c.i32_load(c.getLocal("it")) - ), - c.if( - c.i32_eq(c.getLocal("m"), c.i32_const(0)), - c.setLocal("pOut", c.getLocal("pA")), - c.if( - c.i32_eq(c.getLocal("m"), c.i32_const(1)), - c.setLocal("pOut", c.getLocal("pB")), - [ - ...c.setLocal("it", c.i32_add(c.getLocal("it"), c.i32_const(n8+12))), - ...c.br(1) - ] - ) - ), - c.setLocal( - "c", - c.i32_load(c.getLocal("it"), 4) - ), - c.if( - c.i32_or( - c.i32_lt_u( - c.getLocal("c"), - c.getLocal("offsetOut"), - ), - c.i32_ge_u( - c.getLocal("c"), - c.i32_add( - c.getLocal("offsetOut"), - c.getLocal("nOut"), - ) - ) - ), - [ - ...c.setLocal("it", c.i32_add(c.getLocal("it"), c.i32_const(n8+12))), - ...c.br(1) - ] - ), - c.setLocal( - "pOut", - c.i32_add( - c.getLocal("pOut"), - c.i32_mul( - c.i32_sub( - c.getLocal("c"), - c.getLocal("offsetOut") - ), - c.i32_const(n8) - ) - ) - ), - c.call( - prefixField + "_mul", - c.i32_add( - c.getLocal("pWitness"), - c.i32_mul( - c.i32_sub(c.getLocal("s"), c.getLocal("offsetWitness")), - c.i32_const(n8) - ) - ), - c.i32_add( c.getLocal("it"), c.i32_const(12)), - aux - ), - c.call( - prefixField + "_add", - c.getLocal("pOut"), - aux, - c.getLocal("pOut"), - ), - c.setLocal("it", c.i32_add(c.getLocal("it"), c.i32_const(n8+12))), - c.br(0) - )), - - c.setLocal("ita", c.getLocal("pA")), - c.setLocal("itb", c.getLocal("pB")), - c.setLocal("it", c.getLocal("pC")), - c.setLocal( - "last", - c.i32_add( - c.getLocal("pA"), - c.i32_mul( - c.getLocal("nOut"), - c.i32_const(n8) - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("ita"), - c.getLocal("last") - ) - ), - c.call( - prefixField + "_mul", - c.getLocal("ita"), - c.getLocal("itb"), - c.getLocal("it") - ), - c.setLocal("ita", c.i32_add(c.getLocal("ita"), c.i32_const(n8))), - c.setLocal("itb", c.i32_add(c.getLocal("itb"), c.i32_const(n8))), - c.setLocal("it", c.i32_add(c.getLocal("it"), c.i32_const(n8))), - c.br(0) - )), - - ); - } - - function buildJoinABC() { - const f = module.addFunction(prefix+"_joinABC"); - f.addParam("pA", "i32"); - f.addParam("pB", "i32"); - f.addParam("pC", "i32"); - f.addParam("n", "i32"); - f.addParam("pP", "i32"); - f.addLocal("ita", "i32"); - f.addLocal("itb", "i32"); - f.addLocal("itc", "i32"); - f.addLocal("itp", "i32"); - f.addLocal("last", "i32"); - - const c = f.getCodeBuilder(); - - const aux = c.i32_const(module.alloc(n8)); - - f.addCode( - c.setLocal("ita", c.getLocal("pA")), - c.setLocal("itb", c.getLocal("pB")), - c.setLocal("itc", c.getLocal("pC")), - c.setLocal("itp", c.getLocal("pP")), - c.setLocal( - "last", - c.i32_add( - c.getLocal("pA"), - c.i32_mul( - c.getLocal("n"), - c.i32_const(n8) - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("ita"), - c.getLocal("last") - ) - ), - c.call( - prefixField + "_mul", - c.getLocal("ita"), - c.getLocal("itb"), - aux - ), - c.call( - prefixField + "_sub", - aux, - c.getLocal("itc"), - c.getLocal("itp"), - ), - c.setLocal("ita", c.i32_add(c.getLocal("ita"), c.i32_const(n8))), - c.setLocal("itb", c.i32_add(c.getLocal("itb"), c.i32_const(n8))), - c.setLocal("itc", c.i32_add(c.getLocal("itc"), c.i32_const(n8))), - c.setLocal("itp", c.i32_add(c.getLocal("itp"), c.i32_const(n8))), - c.br(0) - )) - ); - } - - function buildBatchAdd() { - const f = module.addFunction(prefix+"_batchAdd"); - f.addParam("pa", "i32"); - f.addParam("pb", "i32"); - f.addParam("n", "i32"); - f.addParam("pr", "i32"); - f.addLocal("ita", "i32"); - f.addLocal("itb", "i32"); - f.addLocal("itr", "i32"); - f.addLocal("last", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.setLocal("ita", c.getLocal("pa")), - c.setLocal("itb", c.getLocal("pb")), - c.setLocal("itr", c.getLocal("pr")), - c.setLocal( - "last", - c.i32_add( - c.getLocal("pa"), - c.i32_mul( - c.getLocal("n"), - c.i32_const(n8) - ) - ) - ), - c.block(c.loop( - c.br_if( - 1, - c.i32_eq( - c.getLocal("ita"), - c.getLocal("last") - ) - ), - c.call( - prefixField + "_add", - c.getLocal("ita"), - c.getLocal("itb"), - c.getLocal("itr"), - ), - c.setLocal("ita", c.i32_add(c.getLocal("ita"), c.i32_const(n8))), - c.setLocal("itb", c.i32_add(c.getLocal("itb"), c.i32_const(n8))), - c.setLocal("itr", c.i32_add(c.getLocal("itr"), c.i32_const(n8))), - c.br(0) - )) - ); - } - - buildBuildABC(); - buildJoinABC(); - buildBatchAdd(); - - module.exportFunction(prefix + "_buildABC"); - module.exportFunction(prefix + "_joinABC"); - module.exportFunction(prefix + "_batchAdd"); - - return prefix; - +function __fft(PF, pall, bits, offset, step) { + const n = 1 << bits; + if (n == 1) + /* c8 ignore start */ + return [pall[offset]]; + else if (n == 2) return [PF.G.add(pall[offset], pall[offset + step]), PF.G.sub(pall[offset], pall[offset + step])]; + const ndiv2 = n >> 1; + const p1 = __fft(PF, pall, bits - 1, offset, step * 2); + const p2 = __fft(PF, pall, bits - 1, offset + step, step * 2); + const out = new Array(n); + for (let i = 0; i < ndiv2; i++) { + out[i] = PF.G.add(p1[i], PF.opMulGF(p2[i], PF.roots[bits][i])); + out[i + ndiv2] = PF.G.sub(p1[i], PF.opMulGF(p2[i], PF.roots[bits][i])); + } + return out; +} +//#endregion +//#region src/f1field.js +var ZqField = class { + constructor(p) { + this.type = "F1"; + this.one = BigInt(1); + this.zero = BigInt(0); + this.p = BigInt(p); + this.m = 1; + this.negone = this.p - this.one; + this.two = BigInt(2); + this.half = this.p >> this.one; + this.bitLength = bitLength(this.p); + this.mask = (this.one << BigInt(this.bitLength)) - this.one; + this.n64 = Math.floor((this.bitLength - 1) / 64) + 1; + this.n32 = this.n64 * 2; + this.n8 = this.n64 * 8; + this.R = this.e(this.one << BigInt(this.n64 * 64)); + this.Ri = this.inv(this.R); + const e = this.negone >> this.one; + this.nqr = this.two; + let r = this.pow(this.nqr, e); + while (!this.eq(r, this.negone)) { + this.nqr = this.nqr + this.one; + r = this.pow(this.nqr, e); + } + this.s = 0; + this.t = this.negone; + while ((this.t & this.one) == this.zero) { + this.s = this.s + 1; + this.t = this.t >> this.one; + } + this.nqr_to_t = this.pow(this.nqr, this.t); + buildSqrt(this); + this.FFT = new FFT(this, this, this.mul.bind(this)); + this.fft = this.FFT.fft.bind(this.FFT); + this.ifft = this.FFT.ifft.bind(this.FFT); + this.w = this.FFT.w; + this.wi = this.FFT.wi; + this.shift = this.square(this.nqr); + this.k = this.exp(this.nqr, 2 ** this.s); + } + e(a, b) { + let res; + if (!b) res = BigInt(a); + else if (b == 16) res = BigInt("0x" + a); + if (res < 0) { + let nres = -res; + if (nres >= this.p) nres = nres % this.p; + return this.p - nres; + } else return res >= this.p ? res % this.p : res; + } + add(a, b) { + const res = a + b; + return res >= this.p ? res - this.p : res; + } + sub(a, b) { + return a >= b ? a - b : this.p - b + a; + } + neg(a) { + return a ? this.p - a : a; + } + mul(a, b) { + return a * b % this.p; + } + mulScalar(base, s) { + return base * this.e(s) % this.p; + } + copy(a) { + return a; + } + square(a) { + return a * a % this.p; + } + eq(a, b) { + return a == b; + } + neq(a, b) { + return a != b; + } + lt(a, b) { + return (a > this.half ? a - this.p : a) < (b > this.half ? b - this.p : b); + } + gt(a, b) { + return (a > this.half ? a - this.p : a) > (b > this.half ? b - this.p : b); + } + leq(a, b) { + return (a > this.half ? a - this.p : a) <= (b > this.half ? b - this.p : b); + } + geq(a, b) { + return (a > this.half ? a - this.p : a) >= (b > this.half ? b - this.p : b); + } + div(a, b) { + return this.mul(a, this.inv(b)); + } + idiv(a, b) { + if (!b) throw new Error("Division by zero"); + return a / b; + } + inv(a) { + if (!a) throw new Error("Division by zero"); + let t = this.zero; + let r = this.p; + let newt = this.one; + let newr = a % this.p; + while (newr) { + let q = r / newr; + [t, newt] = [newt, t - q * newt]; + [r, newr] = [newr, r - q * newr]; + } + if (t < this.zero) t += this.p; + return t; + } + mod(a, b) { + return a % b; + } + pow(b, e) { + return exp(this, b, e); + } + exp(b, e) { + return exp(this, b, e); + } + band(a, b) { + const res = a & b & this.mask; + return res >= this.p ? res - this.p : res; + } + bor(a, b) { + const res = (a | b) & this.mask; + return res >= this.p ? res - this.p : res; + } + bxor(a, b) { + const res = (a ^ b) & this.mask; + return res >= this.p ? res - this.p : res; + } + bnot(a) { + const res = a ^ this.mask; + return res >= this.p ? res - this.p : res; + } + shl(a, b) { + if (Number(b) < this.bitLength) { + const res = a << b & this.mask; + return res >= this.p ? res - this.p : res; + } else { + const nb = this.p - b; + if (Number(nb) < this.bitLength) return a >> nb; + else return this.zero; + } + } + shr(a, b) { + if (Number(b) < this.bitLength) return a >> b; + else { + const nb = this.p - b; + if (Number(nb) < this.bitLength) { + const res = a << nb & this.mask; + return res >= this.p ? res - this.p : res; + } else return 0; + } + } + land(a, b) { + return a && b ? this.one : this.zero; + } + lor(a, b) { + return a || b ? this.one : this.zero; + } + lnot(a) { + return a ? this.zero : this.one; + } + sqrt_old(n) { + if (n == this.zero) return this.zero; + if (this.pow(n, this.negone >> this.one) != this.one) return null; + let m = this.s; + let c = this.nqr_to_t; + let t = this.pow(n, this.t); + let r = this.pow(n, this.add(this.t, this.one) >> this.one); + while (t != this.one) { + let sq = this.square(t); + let i = 1; + while (sq != this.one) { + i++; + sq = this.square(sq); + } + let b = c; + for (let j = 0; j < m - i - 1; j++) b = this.square(b); + m = i; + c = this.square(b); + t = this.mul(t, c); + r = this.mul(r, b); + } + if (r > this.p >> this.one) r = this.neg(r); + return r; + } + normalize(a, b) { + a = BigInt(a, b); + if (a < 0) { + let na = -a; + if (na >= this.p) na = na % this.p; + return this.p - na; + } else return a >= this.p ? a % this.p : a; + } + random() { + const nBytes = this.bitLength * 2 / 8; + let res = this.zero; + for (let i = 0; i < nBytes; i++) res = (res << BigInt(8)) + BigInt(getRandomBytes(1)[0]); + return res % this.p; + } + toString(a, base) { + base = base || 10; + let vs; + if (a > this.half && base == 10) vs = "-" + (this.p - a).toString(base); + else vs = a.toString(base); + return vs; + } + isZero(a) { + return a == this.zero; + } + fromRng(rng) { + let v; + do { + v = this.zero; + for (let i = 0; i < this.n64; i++) v += rng.nextU64() << BigInt(64 * i); + v &= this.mask; + } while (v >= this.p); + v = v * this.Ri % this.p; + return v; + } + fft(a) { + return this.FFT.fft(a); + } + ifft(a) { + return this.FFT.ifft(a); + } + toRprLE(buff, o, e) { + toRprLE(buff, o, e, this.n64 * 8); + } + toRprBE(buff, o, e) { + toRprBE(buff, o, e, this.n64 * 8); + } + toRprBEM(buff, o, e) { + return this.toRprBE(buff, o, this.mul(this.R, e)); + } + toRprLEM(buff, o, e) { + return this.toRprLE(buff, o, this.mul(this.R, e)); + } + fromRprLE(buff, o) { + return fromRprLE(buff, o, this.n8); + } + fromRprBE(buff, o) { + return fromRprBE(buff, o, this.n8); + } + fromRprLEM(buff, o) { + return this.mul(this.fromRprLE(buff, o), this.Ri); + } + fromRprBEM(buff, o) { + return this.mul(this.fromRprBE(buff, o), this.Ri); + } + toObject(a) { + return a; + } }; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -var build_applykey = function buildApplyKey(module, fnName, gPrefix, frPrefix, sizeGIn, sizeGOut, sizeF, opGtimesF) { - - const f = module.addFunction(fnName); - f.addParam("pIn", "i32"); - f.addParam("n", "i32"); - f.addParam("pFirst", "i32"); - f.addParam("pInc", "i32"); - f.addParam("pOut", "i32"); - f.addLocal("pOldFree", "i32"); - f.addLocal("i", "i32"); - f.addLocal("pFrom", "i32"); - f.addLocal("pTo", "i32"); - - const c = f.getCodeBuilder(); - - const t = c.i32_const(module.alloc(sizeF)); - - f.addCode( - c.setLocal("pFrom", c.getLocal("pIn")), - c.setLocal("pTo", c.getLocal("pOut")), - ); - - // t = first - f.addCode( - c.call( - frPrefix + "_copy", - c.getLocal("pFirst"), - t - ) - ); - f.addCode( - c.setLocal("i", c.i32_const(0)), - c.block(c.loop( - c.br_if(1, c.i32_eq ( c.getLocal("i"), c.getLocal("n") )), - - c.call( - opGtimesF, - c.getLocal("pFrom"), - t, - c.getLocal("pTo") - ), - c.setLocal("pFrom", c.i32_add(c.getLocal("pFrom"), c.i32_const(sizeGIn))), - c.setLocal("pTo", c.i32_add(c.getLocal("pTo"), c.i32_const(sizeGOut))), - - // t = t* inc - c.call( - frPrefix + "_mul", - t, - c.getLocal("pInc"), - t - ), - c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - - module.exportFunction(fnName); - +//#endregion +//#region src/f2field.js +var F2Field = class { + constructor(F, nonResidue) { + this.type = "F2"; + this.F = F; + this.zero = [this.F.zero, this.F.zero]; + this.one = [this.F.one, this.F.zero]; + this.negone = this.neg(this.one); + this.nonResidue = nonResidue; + this.m = F.m * 2; + this.p = F.p; + this.n64 = F.n64 * 2; + this.n32 = this.n64 * 2; + this.n8 = this.n64 * 8; + buildSqrt(this); + } + _mulByNonResidue(a) { + return this.F.mul(this.nonResidue, a); + } + copy(a) { + return [this.F.copy(a[0]), this.F.copy(a[1])]; + } + add(a, b) { + return [this.F.add(a[0], b[0]), this.F.add(a[1], b[1])]; + } + double(a) { + return this.add(a, a); + } + sub(a, b) { + return [this.F.sub(a[0], b[0]), this.F.sub(a[1], b[1])]; + } + neg(a) { + return this.sub(this.zero, a); + } + conjugate(a) { + return [a[0], this.F.neg(a[1])]; + } + mul(a, b) { + const aA = this.F.mul(a[0], b[0]); + const bB = this.F.mul(a[1], b[1]); + return [this.F.add(aA, this._mulByNonResidue(bB)), this.F.sub(this.F.mul(this.F.add(a[0], a[1]), this.F.add(b[0], b[1])), this.F.add(aA, bB))]; + } + inv(a) { + const t0 = this.F.square(a[0]); + const t1 = this.F.square(a[1]); + const t2 = this.F.sub(t0, this._mulByNonResidue(t1)); + const t3 = this.F.inv(t2); + return [this.F.mul(a[0], t3), this.F.neg(this.F.mul(a[1], t3))]; + } + div(a, b) { + return this.mul(a, this.inv(b)); + } + square(a) { + const ab = this.F.mul(a[0], a[1]); + return [this.F.sub(this.F.mul(this.F.add(a[0], a[1]), this.F.add(a[0], this._mulByNonResidue(a[1]))), this.F.add(ab, this._mulByNonResidue(ab))), this.F.add(ab, ab)]; + } + isZero(a) { + return this.F.isZero(a[0]) && this.F.isZero(a[1]); + } + eq(a, b) { + return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]); + } + mulScalar(base, e) { + return mulScalar(this, base, e); + } + pow(base, e) { + return exp(this, base, e); + } + exp(base, e) { + return exp(this, base, e); + } + toString(a) { + return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])} ]`; + } + fromRng(rng) { + return [this.F.fromRng(rng), this.F.fromRng(rng)]; + } + gt(a, b) { + if (this.F.gt(a[0], b[0])) return true; + if (this.F.gt(b[0], a[0])) return false; + if (this.F.gt(a[1], b[1])) return true; + return false; + } + geq(a, b) { + return this.gt(a, b) || this.eq(a, b); + } + lt(a, b) { + return !this.geq(a, b); + } + leq(a, b) { + return !this.gt(a, b); + } + neq(a, b) { + return !this.eq(a, b); + } + random() { + return [this.F.random(), this.F.random()]; + } + toRprLE(buff, o, e) { + this.F.toRprLE(buff, o, e[0]); + this.F.toRprLE(buff, o + this.F.n8, e[1]); + } + toRprBE(buff, o, e) { + this.F.toRprBE(buff, o, e[1]); + this.F.toRprBE(buff, o + this.F.n8, e[0]); + } + toRprLEM(buff, o, e) { + this.F.toRprLEM(buff, o, e[0]); + this.F.toRprLEM(buff, o + this.F.n8, e[1]); + } + toRprBEM(buff, o, e) { + this.F.toRprBEM(buff, o, e[1]); + this.F.toRprBEM(buff, o + this.F.n8, e[0]); + } + fromRprLE(buff, o) { + o = o || 0; + return [this.F.fromRprLE(buff, o), this.F.fromRprLE(buff, o + this.F.n8)]; + } + fromRprBE(buff, o) { + o = o || 0; + const c1 = this.F.fromRprBE(buff, o); + return [this.F.fromRprBE(buff, o + this.F.n8), c1]; + } + fromRprLEM(buff, o) { + o = o || 0; + return [this.F.fromRprLEM(buff, o), this.F.fromRprLEM(buff, o + this.F.n8)]; + } + fromRprBEM(buff, o) { + o = o || 0; + const c1 = this.F.fromRprBEM(buff, o); + return [this.F.fromRprBEM(buff, o + this.F.n8), c1]; + } + toObject(a) { + return a; + } }; - -const utils$2 = utils$6; - -const buildF1m$1 =build_f1m; -const buildF1$1 =build_f1; -const buildF2m$1 =build_f2m; -const buildF3m$1 =build_f3m; -const buildCurve$1 =build_curve_jacobian_a0; -const buildFFT$2 = build_fft; -const buildPol$1 = build_pol; -const buildQAP$1 = build_qap; -const buildApplyKey$1 = build_applykey; -const { bitLength: bitLength$2, modInv, isOdd: isOdd$1, isNegative: isNegative$2 } = bigint; - -var build_bn128 = function buildBN128(module, _prefix) { - - const prefix = _prefix || "bn128"; - - if (module.modules[prefix]) return prefix; // already builded - - const q = 21888242871839275222246405745257275088696311157297823662689037894645226208583n; - const r = 21888242871839275222246405745257275088548364400416034343698204186575808495617n; - - - const n64 = Math.floor((bitLength$2(q - 1n) - 1)/64) +1; - const n8 = n64*8; - const frsize = n8; - const f1size = n8; - const f2size = f1size * 2; - const ftsize = f1size * 12; - - const pr = module.alloc(utils$2.bigInt2BytesLE( r, frsize )); - - const f1mPrefix = buildF1m$1(module, q, "f1m"); - buildF1$1(module, r, "fr", "frm"); - - const pG1b = module.alloc(utils$2.bigInt2BytesLE( toMontgomery(3n), f1size )); - const g1mPrefix = buildCurve$1(module, "g1m", "f1m", pG1b); - - buildFFT$2(module, "frm", "frm", "frm", "frm_mul"); - - buildPol$1(module, "pol", "frm"); - buildQAP$1(module, "qap", "frm"); - - const f2mPrefix = buildF2m$1(module, "f1m_neg", "f2m", "f1m"); - const pG2b = module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery(19485874751759354771024239261021720505790618469301721065564631296452457478373n), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(266929791119991161246907387137283842545076965332900288569378510910307636690n), f1size ) - ]); - const g2mPrefix = buildCurve$1(module, "g2m", "f2m", pG2b); - - - function buildGTimesFr(fnName, opMul) { - const f = module.addFunction(fnName); - f.addParam("pG", "i32"); - f.addParam("pFr", "i32"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - const AUX = c.i32_const(module.alloc(n8)); - - f.addCode( - c.call("frm_fromMontgomery", c.getLocal("pFr"), AUX), - c.call( - opMul, - c.getLocal("pG"), - AUX, - c.i32_const(n8), - c.getLocal("pr") - ) - ); - - module.exportFunction(fnName); - } - buildGTimesFr("g1m_timesFr", "g1m_timesScalar"); - buildFFT$2(module, "g1m", "g1m", "frm", "g1m_timesFr"); - - buildGTimesFr("g2m_timesFr", "g2m_timesScalar"); - buildFFT$2(module, "g2m", "g2m", "frm", "g2m_timesFr"); - - buildGTimesFr("g1m_timesFrAffine", "g1m_timesScalarAffine"); - buildGTimesFr("g2m_timesFrAffine", "g2m_timesScalarAffine"); - - buildApplyKey$1(module, "frm_batchApplyKey", "fmr", "frm", n8, n8, n8, "frm_mul"); - buildApplyKey$1(module, "g1m_batchApplyKey", "g1m", "frm", n8*3, n8*3, n8, "g1m_timesFr"); - buildApplyKey$1(module, "g1m_batchApplyKeyMixed", "g1m", "frm", n8*2, n8*3, n8, "g1m_timesFrAffine"); - buildApplyKey$1(module, "g2m_batchApplyKey", "g2m", "frm", n8*2*3, n8*3*2, n8, "g2m_timesFr"); - buildApplyKey$1(module, "g2m_batchApplyKeyMixed", "g2m", "frm", n8*2*2, n8*3*2, n8, "g2m_timesFrAffine"); - - function toMontgomery(a) { - return BigInt(a) * ( 1n << BigInt(f1size*8)) % q; - } - - const G1gen = [ - 1n, - 2n, - 1n - ]; - - const pG1gen = module.alloc( - [ - ...utils$2.bigInt2BytesLE( toMontgomery(G1gen[0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G1gen[1]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G1gen[2]), f1size ), - ] - ); - - const G1zero = [ - 0n, - 1n, - 0n - ]; - - const pG1zero = module.alloc( - [ - ...utils$2.bigInt2BytesLE( toMontgomery(G1zero[0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G1zero[1]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G1zero[2]), f1size ) - ] - ); - - const G2gen = [ - [ - 10857046999023057135944570762232829481370756359578518086990519993285655852781n, - 11559732032986387107991004021392285783925812861821192530917403151452391805634n, - ],[ - 8495653923123431417604973247489272438418190587263600148770280649306958101930n, - 4082367875863433681332203403145435568316851327593401208105741076214120093531n, - ],[ - 1n, - 0n, - ] - ]; - - const pG2gen = module.alloc( - [ - ...utils$2.bigInt2BytesLE( toMontgomery(G2gen[0][0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2gen[0][1]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2gen[1][0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2gen[1][1]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2gen[2][0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2gen[2][1]), f1size ), - ] - ); - - const G2zero = [ - [ - 0n, - 0n, - ],[ - 1n, - 0n, - ],[ - 0n, - 0n, - ] - ]; - - const pG2zero = module.alloc( - [ - ...utils$2.bigInt2BytesLE( toMontgomery(G2zero[0][0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2zero[0][1]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2zero[1][0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2zero[1][1]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2zero[2][0]), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(G2zero[2][1]), f1size ), - ] - ); - - const pOneT = module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery(1), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(0), f1size ), - ]); - - const pNonResidueF6 = module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery(9), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(1), f1size ), - ]); - - const pTwoInv = module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery( modInv(2n, q)), f1size ), - ...utils$2.bigInt2BytesLE( 0n, f1size ) - ]); - - const pAltBn128Twist = pNonResidueF6; - - const pTwistCoefB = module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery(19485874751759354771024239261021720505790618469301721065564631296452457478373n), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery(266929791119991161246907387137283842545076965332900288569378510910307636690n), f1size ), - ]); - - function build_mulNR6() { - const f = module.addFunction(prefix + "_mulNR6"); - f.addParam("x", "i32"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call( - f2mPrefix + "_mul", - c.i32_const(pNonResidueF6), - c.getLocal("x"), - c.getLocal("pr") - ) - ); - } - build_mulNR6(); - - const f6mPrefix = buildF3m$1(module, prefix+"_mulNR6", "f6m", "f2m"); - - function build_mulNR12() { - const f = module.addFunction(prefix + "_mulNR12"); - f.addParam("x", "i32"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call( - f2mPrefix + "_mul", - c.i32_const(pNonResidueF6), - c.i32_add(c.getLocal("x"), c.i32_const(n8*4)), - c.getLocal("pr") - ), - c.call( - f2mPrefix + "_copy", - c.getLocal("x"), - c.i32_add(c.getLocal("pr"), c.i32_const(n8*2)), - ), - c.call( - f2mPrefix + "_copy", - c.i32_add(c.getLocal("x"), c.i32_const(n8*2)), - c.i32_add(c.getLocal("pr"), c.i32_const(n8*4)), - ) - ); - } - build_mulNR12(); - - const ftmPrefix = buildF2m$1(module, prefix+"_mulNR12", "ftm", f6mPrefix); - - - const ateLoopCount = 29793968203157093288n; - const ateLoopBitBytes = bits(ateLoopCount); - const pAteLoopBitBytes = module.alloc(ateLoopBitBytes); - - const ateCoefSize = 3 * f2size; - const ateNDblCoefs = ateLoopBitBytes.length-1; - const ateNAddCoefs = ateLoopBitBytes.reduce((acc, b) => acc + ( b!=0 ? 1 : 0) ,0); - const ateNCoefs = ateNAddCoefs + ateNDblCoefs + 1; - const prePSize = 3*2*n8; - const preQSize = 3*n8*2 + ateNCoefs*ateCoefSize; - - - module.modules[prefix] = { - n64: n64, - pG1gen: pG1gen, - pG1zero: pG1zero, - pG1b: pG1b, - pG2gen: pG2gen, - pG2zero: pG2zero, - pG2b: pG2b, - pq: module.modules["f1m"].pq, - pr: pr, - pOneT: pOneT, - prePSize: prePSize, - preQSize: preQSize, - r: r.toString(), - q: q.toString() - }; - - // console.log("PrePSize: " +prePSize); - // console.log("PreQSize: " +preQSize); - - const finalExpZ = 4965661367192848881n; - - function naf(n) { - let E = n; - const res = []; - while (E > 0n) { - if (isOdd$1(E)) { - const z = 2 - Number(E % 4n); - res.push( z ); - E = E - BigInt(z); - } else { - res.push( 0 ); - } - E = E >> 1n; - } - return res; - } - - function bits(n) { - let E = n; - const res = []; - while (E > 0n) { - if (isOdd$1(E)) { - res.push( 1 ); - } else { - res.push( 0 ); - } - E = E >> 1n; - } - return res; - } - - function buildPrepareG1() { - const f = module.addFunction(prefix+ "_prepareG1"); - f.addParam("pP", "i32"); - f.addParam("ppreP", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call(g1mPrefix + "_normalize", c.getLocal("pP"), c.getLocal("ppreP")), // TODO Remove if already in affine - ); - } - - function buildPrepAddStep() { - const f = module.addFunction(prefix+ "_prepAddStep"); - f.addParam("pQ", "i32"); - f.addParam("pR", "i32"); - f.addParam("pCoef", "i32"); - - const c = f.getCodeBuilder(); - - const X2 = c.getLocal("pQ"); - const Y2 = c.i32_add(c.getLocal("pQ"), c.i32_const(f2size)); - - const X1 = c.getLocal("pR"); - const Y1 = c.i32_add(c.getLocal("pR"), c.i32_const(f2size)); - const Z1 = c.i32_add(c.getLocal("pR"), c.i32_const(2*f2size)); - - const ELL_0 = c.getLocal("pCoef"); - const ELL_VW = c.i32_add(c.getLocal("pCoef"), c.i32_const(f2size)); - const ELL_VV = c.i32_add(c.getLocal("pCoef"), c.i32_const(2*f2size)); - - const D = ELL_VW; - const E = c.i32_const(module.alloc(f2size)); - const F = c.i32_const(module.alloc(f2size)); - const G = c.i32_const(module.alloc(f2size)); - const H = c.i32_const(module.alloc(f2size)); - const I = c.i32_const(module.alloc(f2size)); - const J = c.i32_const(module.alloc(f2size)); - const AUX = c.i32_const(module.alloc(f2size)); - - f.addCode( - // D = X1 - X2*Z1 - c.call(f2mPrefix + "_mul", X2, Z1, D), - c.call(f2mPrefix + "_sub", X1, D, D), - - // E = Y1 - Y2*Z1 - c.call(f2mPrefix + "_mul", Y2, Z1, E), - c.call(f2mPrefix + "_sub", Y1, E, E), - - // F = D^2 - c.call(f2mPrefix + "_square", D, F), - - // G = E^2 - c.call(f2mPrefix + "_square", E, G), - - // H = D*F - c.call(f2mPrefix + "_mul", D, F, H), - - // I = X1 * F - c.call(f2mPrefix + "_mul", X1, F, I), - - // J = H + Z1*G - (I+I) - c.call(f2mPrefix + "_add", I, I, AUX), - c.call(f2mPrefix + "_mul", Z1, G, J), - c.call(f2mPrefix + "_add", H, J, J), - c.call(f2mPrefix + "_sub", J, AUX, J), - - - // X3 (X1) = D*J - c.call(f2mPrefix + "_mul", D, J, X1), - - // Y3 (Y1) = E*(I-J)-(H*Y1) - c.call(f2mPrefix + "_mul", H, Y1, Y1), - c.call(f2mPrefix + "_sub", I, J, AUX), - c.call(f2mPrefix + "_mul", E, AUX, AUX), - c.call(f2mPrefix + "_sub", AUX, Y1, Y1), - - // Z3 (Z1) = Z1*H - c.call(f2mPrefix + "_mul", Z1, H, Z1), - - // ell_0 = xi * (E * X2 - D * Y2) - c.call(f2mPrefix + "_mul", D, Y2, AUX), - c.call(f2mPrefix + "_mul", E, X2, ELL_0), - c.call(f2mPrefix + "_sub", ELL_0, AUX, ELL_0), - c.call(f2mPrefix + "_mul", ELL_0, c.i32_const(pAltBn128Twist), ELL_0), - - - // ell_VV = - E (later: * xP) - c.call(f2mPrefix + "_neg", E, ELL_VV), - - // ell_VW = D (later: * yP ) - // Already assigned - - ); - } - - - - function buildPrepDoubleStep() { - const f = module.addFunction(prefix+ "_prepDblStep"); - f.addParam("pR", "i32"); - f.addParam("pCoef", "i32"); - - const c = f.getCodeBuilder(); - - const X1 = c.getLocal("pR"); - const Y1 = c.i32_add(c.getLocal("pR"), c.i32_const(f2size)); - const Z1 = c.i32_add(c.getLocal("pR"), c.i32_const(2*f2size)); - - const ELL_0 = c.getLocal("pCoef"); - const ELL_VW = c.i32_add(c.getLocal("pCoef"), c.i32_const(f2size)); - const ELL_VV = c.i32_add(c.getLocal("pCoef"), c.i32_const(2*f2size)); - - const A = c.i32_const(module.alloc(f2size)); - const B = c.i32_const(module.alloc(f2size)); - const C = c.i32_const(module.alloc(f2size)); - const D = c.i32_const(module.alloc(f2size)); - const E = c.i32_const(module.alloc(f2size)); - const F = c.i32_const(module.alloc(f2size)); - const G = c.i32_const(module.alloc(f2size)); - const H = c.i32_const(module.alloc(f2size)); - const I = c.i32_const(module.alloc(f2size)); - const J = c.i32_const(module.alloc(f2size)); - const E2 = c.i32_const(module.alloc(f2size)); - const AUX = c.i32_const(module.alloc(f2size)); - - f.addCode( - - // A = X1 * Y1 / 2 - c.call(f2mPrefix + "_mul", Y1, c.i32_const(pTwoInv), A), - c.call(f2mPrefix + "_mul", X1, A, A), - - // B = Y1^2 - c.call(f2mPrefix + "_square", Y1, B), - - // C = Z1^2 - c.call(f2mPrefix + "_square", Z1, C), - - // D = 3 * C - c.call(f2mPrefix + "_add", C, C, D), - c.call(f2mPrefix + "_add", D, C, D), - - // E = twist_b * D - c.call(f2mPrefix + "_mul", c.i32_const(pTwistCoefB), D, E), - - // F = 3 * E - c.call(f2mPrefix + "_add", E, E, F), - c.call(f2mPrefix + "_add", E, F, F), - - // G = (B+F)/2 - c.call(f2mPrefix + "_add", B, F, G), - c.call(f2mPrefix + "_mul", G, c.i32_const(pTwoInv), G), - - // H = (Y1+Z1)^2-(B+C) - c.call(f2mPrefix + "_add", B, C, AUX), - c.call(f2mPrefix + "_add", Y1, Z1, H), - c.call(f2mPrefix + "_square", H, H), - c.call(f2mPrefix + "_sub", H, AUX, H), - - // I = E-B - c.call(f2mPrefix + "_sub", E, B, I), - - // J = X1^2 - c.call(f2mPrefix + "_square", X1, J), - - // E_squared = E^2 - c.call(f2mPrefix + "_square", E, E2), - - // X3 (X1) = A * (B-F) - c.call(f2mPrefix + "_sub", B, F, AUX), - c.call(f2mPrefix + "_mul", A, AUX, X1), - - // Y3 (Y1) = G^2 - 3*E^2 - c.call(f2mPrefix + "_add", E2, E2, AUX), - c.call(f2mPrefix + "_add", E2, AUX, AUX), - c.call(f2mPrefix + "_square", G, Y1), - c.call(f2mPrefix + "_sub", Y1, AUX, Y1), - - // Z3 (Z1) = B * H - c.call(f2mPrefix + "_mul", B, H, Z1), - - // ell_0 = xi * I - c.call(f2mPrefix + "_mul", c.i32_const(pAltBn128Twist), I, ELL_0), - - // ell_VW = - H (later: * yP) - c.call(f2mPrefix + "_neg", H, ELL_VW), - - // ell_VV = 3*J (later: * xP) - c.call(f2mPrefix + "_add", J, J, ELL_VV), - c.call(f2mPrefix + "_add", J, ELL_VV, ELL_VV), - - ); - } - - function buildMulByQ() { - const f = module.addFunction(prefix + "_mulByQ"); - f.addParam("p1", "i32"); - f.addParam("pr", "i32"); - - const c = f.getCodeBuilder(); - - const x = c.getLocal("p1"); - const y = c.i32_add(c.getLocal("p1"), c.i32_const(f2size)); - const z = c.i32_add(c.getLocal("p1"), c.i32_const(f2size*2)); - const x3 = c.getLocal("pr"); - const y3 = c.i32_add(c.getLocal("pr"), c.i32_const(f2size)); - const z3 = c.i32_add(c.getLocal("pr"), c.i32_const(f2size*2)); - - const MulByQX = c.i32_const(module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery("21575463638280843010398324269430826099269044274347216827212613867836435027261"), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery("10307601595873709700152284273816112264069230130616436755625194854815875713954"), f1size ), - ])); - - const MulByQY = c.i32_const(module.alloc([ - ...utils$2.bigInt2BytesLE( toMontgomery("2821565182194536844548159561693502659359617185244120367078079554186484126554"), f1size ), - ...utils$2.bigInt2BytesLE( toMontgomery("3505843767911556378687030309984248845540243509899259641013678093033130930403"), f1size ), - ])); - - f.addCode( - // The frobeniusMap(1) in this field, is the conjugate - c.call(f2mPrefix + "_conjugate", x, x3), - c.call(f2mPrefix + "_mul", MulByQX, x3, x3), - c.call(f2mPrefix + "_conjugate", y, y3), - c.call(f2mPrefix + "_mul", MulByQY, y3, y3), - c.call(f2mPrefix + "_conjugate", z, z3), - ); - } - - - function buildPrepareG2() { - buildMulByQ(); - const f = module.addFunction(prefix+ "_prepareG2"); - f.addParam("pQ", "i32"); - f.addParam("ppreQ", "i32"); - f.addLocal("pCoef", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - const QX = c.getLocal("pQ"); - - const pR = module.alloc(f2size*3); - const R = c.i32_const(pR); - const RX = c.i32_const(pR); - const RY = c.i32_const(pR+f2size); - const RZ = c.i32_const(pR+2*f2size); - - const cQX = c.i32_add( c.getLocal("ppreQ"), c.i32_const(0)); - const cQY = c.i32_add( c.getLocal("ppreQ"), c.i32_const(f2size)); - - const pQ1 = module.alloc(f2size*3); - const Q1 = c.i32_const(pQ1); - - const pQ2 = module.alloc(f2size*3); - const Q2 = c.i32_const(pQ2); - const Q2Y = c.i32_const(pQ2 + f2size); - - f.addCode( - c.call(g2mPrefix + "_normalize", QX, cQX), // TODO Remove if already in affine - c.call(f2mPrefix + "_copy", cQX, RX), - c.call(f2mPrefix + "_copy", cQY, RY), - c.call(f2mPrefix + "_one", RZ), - ); - - f.addCode( - c.setLocal("pCoef", c.i32_add( c.getLocal("ppreQ"), c.i32_const(f2size*3))), - c.setLocal("i", c.i32_const(ateLoopBitBytes.length-2)), - c.block(c.loop( - - c.call(prefix + "_prepDblStep", R, c.getLocal("pCoef")), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - c.if( - c.i32_load8_s(c.getLocal("i"), pAteLoopBitBytes), - [ - ...c.call(prefix + "_prepAddStep", cQX, R, c.getLocal("pCoef")), - ...c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - ] - ), - c.br_if(1, c.i32_eqz ( c.getLocal("i") )), - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - - f.addCode( - c.call(prefix + "_mulByQ", cQX, Q1), - c.call(prefix + "_mulByQ", Q1, Q2) - ); - - f.addCode( - c.call(f2mPrefix + "_neg", Q2Y, Q2Y), - - c.call(prefix + "_prepAddStep", Q1, R, c.getLocal("pCoef")), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - c.call(prefix + "_prepAddStep", Q2, R, c.getLocal("pCoef")), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - ); - } - - function buildMulBy024Old() { - const f = module.addFunction(prefix+ "__mulBy024Old"); - f.addParam("pEll0", "i32"); - f.addParam("pEllVW", "i32"); - f.addParam("pEllVV", "i32"); - f.addParam("pR", "i32"); // Result in F12 - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("pEll0"); - const x2 = c.getLocal("pEllVV"); - const x4 = c.getLocal("pEllVW"); - - const z0 = c.getLocal("pR"); - - const pAUX12 = module.alloc(ftsize); - const AUX12 = c.i32_const(pAUX12); - const AUX12_0 = c.i32_const(pAUX12); - const AUX12_2 = c.i32_const(pAUX12+f2size); - const AUX12_4 = c.i32_const(pAUX12+f2size*2); - const AUX12_6 = c.i32_const(pAUX12+f2size*3); - const AUX12_8 = c.i32_const(pAUX12+f2size*4); - const AUX12_10 = c.i32_const(pAUX12+f2size*5); - - f.addCode( - - c.call(f2mPrefix + "_copy", x0, AUX12_0), - c.call(f2mPrefix + "_zero", AUX12_2), - c.call(f2mPrefix + "_copy", x2, AUX12_4), - c.call(f2mPrefix + "_zero", AUX12_6), - c.call(f2mPrefix + "_copy", x4, AUX12_8), - c.call(f2mPrefix + "_zero", AUX12_10), - c.call(ftmPrefix + "_mul", AUX12, z0, z0), - ); - } - - function buildMulBy024() { - const f = module.addFunction(prefix+ "__mulBy024"); - f.addParam("pEll0", "i32"); - f.addParam("pEllVW", "i32"); - f.addParam("pEllVV", "i32"); - f.addParam("pR", "i32"); // Result in F12 - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("pEll0"); - const x2 = c.getLocal("pEllVV"); - const x4 = c.getLocal("pEllVW"); - - const z0 = c.getLocal("pR"); - const z1 = c.i32_add(c.getLocal("pR"), c.i32_const(2*n8)); - const z2 = c.i32_add(c.getLocal("pR"), c.i32_const(4*n8)); - const z3 = c.i32_add(c.getLocal("pR"), c.i32_const(6*n8)); - const z4 = c.i32_add(c.getLocal("pR"), c.i32_const(8*n8)); - const z5 = c.i32_add(c.getLocal("pR"), c.i32_const(10*n8)); - - const t0 = c.i32_const(module.alloc(f2size)); - const t1 = c.i32_const(module.alloc(f2size)); - const t2 = c.i32_const(module.alloc(f2size)); - const s0 = c.i32_const(module.alloc(f2size)); - const T3 = c.i32_const(module.alloc(f2size)); - const T4 = c.i32_const(module.alloc(f2size)); - const D0 = c.i32_const(module.alloc(f2size)); - const D2 = c.i32_const(module.alloc(f2size)); - const D4 = c.i32_const(module.alloc(f2size)); - const S1 = c.i32_const(module.alloc(f2size)); - const AUX = c.i32_const(module.alloc(f2size)); - - f.addCode( - - // D0 = z0 * x0; - c.call(f2mPrefix + "_mul", z0, x0, D0), - // D2 = z2 * x2; - c.call(f2mPrefix + "_mul", z2, x2, D2), - // D4 = z4 * x4; - c.call(f2mPrefix + "_mul", z4, x4, D4), - // t2 = z0 + z4; - c.call(f2mPrefix + "_add", z0, z4, t2), - // t1 = z0 + z2; - c.call(f2mPrefix + "_add", z0, z2, t1), - // s0 = z1 + z3 + z5; - c.call(f2mPrefix + "_add", z1, z3, s0), - c.call(f2mPrefix + "_add", s0, z5, s0), - - - // For z.a_.a_ = z0. - // S1 = z1 * x2; - c.call(f2mPrefix + "_mul", z1, x2, S1), - // T3 = S1 + D4; - c.call(f2mPrefix + "_add", S1, D4, T3), - // T4 = my_Fp6::non_residue * T3 + D0; - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), T3, T4), - c.call(f2mPrefix + "_add", T4, D0, z0), - // z0 = T4; - - // For z.a_.b_ = z1 - // T3 = z5 * x4; - c.call(f2mPrefix + "_mul", z5, x4, T3), - // S1 = S1 + T3; - c.call(f2mPrefix + "_add", S1, T3, S1), - // T3 = T3 + D2; - c.call(f2mPrefix + "_add", T3, D2, T3), - // T4 = my_Fp6::non_residue * T3; - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), T3, T4), - // T3 = z1 * x0; - c.call(f2mPrefix + "_mul", z1, x0, T3), - // S1 = S1 + T3; - c.call(f2mPrefix + "_add", S1, T3, S1), - // T4 = T4 + T3; - c.call(f2mPrefix + "_add", T4, T3, z1), - // z1 = T4; - - - - // For z.a_.c_ = z2 - // t0 = x0 + x2; - c.call(f2mPrefix + "_add", x0, x2, t0), - // T3 = t1 * t0 - D0 - D2; - c.call(f2mPrefix + "_mul", t1, t0, T3), - c.call(f2mPrefix + "_add", D0, D2, AUX), - c.call(f2mPrefix + "_sub", T3, AUX, T3), - // T4 = z3 * x4; - c.call(f2mPrefix + "_mul", z3, x4, T4), - // S1 = S1 + T4; - c.call(f2mPrefix + "_add", S1, T4, S1), - - - // For z.b_.a_ = z3 (z3 needs z2) - // t0 = z2 + z4; - c.call(f2mPrefix + "_add", z2, z4, t0), - // T3 = T3 + T4; - // z2 = T3; - c.call(f2mPrefix + "_add", T3, T4, z2), - // t1 = x2 + x4; - c.call(f2mPrefix + "_add", x2, x4, t1), - // T3 = t0 * t1 - D2 - D4; - c.call(f2mPrefix + "_mul", t1, t0, T3), - c.call(f2mPrefix + "_add", D2, D4, AUX), - c.call(f2mPrefix + "_sub", T3, AUX, T3), - // T4 = my_Fp6::non_residue * T3; - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), T3, T4), - // T3 = z3 * x0; - c.call(f2mPrefix + "_mul", z3, x0, T3), - // S1 = S1 + T3; - c.call(f2mPrefix + "_add", S1, T3, S1), - // T4 = T4 + T3; - c.call(f2mPrefix + "_add", T4, T3, z3), - // z3 = T4; - - // For z.b_.b_ = z4 - // T3 = z5 * x2; - c.call(f2mPrefix + "_mul", z5, x2, T3), - // S1 = S1 + T3; - c.call(f2mPrefix + "_add", S1, T3, S1), - // T4 = my_Fp6::non_residue * T3; - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), T3, T4), - // t0 = x0 + x4; - c.call(f2mPrefix + "_add", x0, x4, t0), - // T3 = t2 * t0 - D0 - D4; - c.call(f2mPrefix + "_mul", t2, t0, T3), - c.call(f2mPrefix + "_add", D0, D4, AUX), - c.call(f2mPrefix + "_sub", T3, AUX, T3), - // T4 = T4 + T3; - c.call(f2mPrefix + "_add", T4, T3, z4), - // z4 = T4; - - // For z.b_.c_ = z5. - // t0 = x0 + x2 + x4; - c.call(f2mPrefix + "_add", x0, x2, t0), - c.call(f2mPrefix + "_add", t0, x4, t0), - // T3 = s0 * t0 - S1; - c.call(f2mPrefix + "_mul", s0, t0, T3), - c.call(f2mPrefix + "_sub", T3, S1, z5), - // z5 = T3; - - ); - } - - - function buildMillerLoop() { - const f = module.addFunction(prefix+ "_millerLoop"); - f.addParam("ppreP", "i32"); - f.addParam("ppreQ", "i32"); - f.addParam("r", "i32"); - f.addLocal("pCoef", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - const preP_PX = c.getLocal("ppreP"); - const preP_PY = c.i32_add(c.getLocal("ppreP"), c.i32_const(f1size)); - - const ELL_0 = c.getLocal("pCoef"); - const ELL_VW = c.i32_add(c.getLocal("pCoef"), c.i32_const(f2size)); - const ELL_VV = c.i32_add(c.getLocal("pCoef"), c.i32_const(2*f2size)); - - - const pVW = module.alloc(f2size); - const VW = c.i32_const(pVW); - const pVV = module.alloc(f2size); - const VV = c.i32_const(pVV); - - const F = c.getLocal("r"); - - - f.addCode( - c.call(ftmPrefix + "_one", F), - - c.setLocal("pCoef", c.i32_add( c.getLocal("ppreQ"), c.i32_const(f2size*3))), - - c.setLocal("i", c.i32_const(ateLoopBitBytes.length-2)), - c.block(c.loop( - - - c.call(ftmPrefix + "_square", F, F), - - c.call(f2mPrefix + "_mul1", ELL_VW,preP_PY, VW), - c.call(f2mPrefix + "_mul1", ELL_VV, preP_PX, VV), - c.call(prefix + "__mulBy024", ELL_0, VW, VV, F), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - c.if( - c.i32_load8_s(c.getLocal("i"), pAteLoopBitBytes), - [ - ...c.call(f2mPrefix + "_mul1", ELL_VW, preP_PY, VW), - ...c.call(f2mPrefix + "_mul1", ELL_VV, preP_PX, VV), - - ...c.call(prefix + "__mulBy024", ELL_0, VW, VV, F), - ...c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - ] - ), - c.br_if(1, c.i32_eqz ( c.getLocal("i") )), - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - - ); - - f.addCode( - c.call(f2mPrefix + "_mul1", ELL_VW, preP_PY, VW), - c.call(f2mPrefix + "_mul1", ELL_VV, preP_PX, VV), - c.call(prefix + "__mulBy024", ELL_0, VW, VV, F), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - c.call(f2mPrefix + "_mul1", ELL_VW, preP_PY, VW), - c.call(f2mPrefix + "_mul1", ELL_VV, preP_PX, VV), - c.call(prefix + "__mulBy024", ELL_0, VW, VV, F), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - ); - - } - - - function buildFrobeniusMap(n) { - const F12 = [ - [ - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - ], - [ - [1n, 0n], - [8376118865763821496583973867626364092589906065868298776909617916018768340080n, 16469823323077808223889137241176536799009286646108169935659301613961712198316n], - [21888242871839275220042445260109153167277707414472061641714758635765020556617n, 0n], - [11697423496358154304825782922584725312912383441159505038794027105778954184319n, 303847389135065887422783454877609941456349188919719272345083954437860409601n], - [21888242871839275220042445260109153167277707414472061641714758635765020556616n, 0n], - [3321304630594332808241809054958361220322477375291206261884409189760185844239n, 5722266937896532885780051958958348231143373700109372999374820235121374419868n], - [21888242871839275222246405745257275088696311157297823662689037894645226208582n, 0n], - [13512124006075453725662431877630910996106405091429524885779419978626457868503n, 5418419548761466998357268504080738289687024511189653727029736280683514010267n], - [2203960485148121921418603742825762020974279258880205651966n, 0n], - [10190819375481120917420622822672549775783927716138318623895010788866272024264n, 21584395482704209334823622290379665147239961968378104390343953940207365798982n], - [2203960485148121921418603742825762020974279258880205651967n, 0n], - [18566938241244942414004596690298913868373833782006617400804628704885040364344n, 16165975933942742336466353786298926857552937457188450663314217659523851788715n], - ] - ]; - - const F6 = [ - [ - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - ], - [ - [1n, 0n], - [21575463638280843010398324269430826099269044274347216827212613867836435027261n, 10307601595873709700152284273816112264069230130616436755625194854815875713954n], - [21888242871839275220042445260109153167277707414472061641714758635765020556616n, 0n], - [3772000881919853776433695186713858239009073593817195771773381919316419345261n, 2236595495967245188281701248203181795121068902605861227855261137820944008926n], - [2203960485148121921418603742825762020974279258880205651966n, 0n], - [18429021223477853657660792034369865839114504446431234726392080002137598044644n, 9344045779998320333812420223237981029506012124075525679208581902008406485703n], - ], - [ - [1n, 0n], - [2581911344467009335267311115468803099551665605076196740867805258568234346338n, 19937756971775647987995932169929341994314640652964949448313374472400716661030n], - [2203960485148121921418603742825762020974279258880205651966n, 0n], - [5324479202449903542726783395506214481928257762400643279780343368557297135718n, 16208900380737693084919495127334387981393726419856888799917914180988844123039n], - [21888242871839275220042445260109153167277707414472061641714758635765020556616n, 0n], - [13981852324922362344252311234282257507216387789820983642040889267519694726527n, 7629828391165209371577384193250820201684255241773809077146787135900891633097n], - ] - ]; - - const f = module.addFunction(prefix+ "__frobeniusMap"+n); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - for (let i=0; i<6; i++) { - const X = (i==0) ? c.getLocal("x") : c.i32_add(c.getLocal("x"), c.i32_const(i*f2size)); - const Xc0 = X; - const Xc1 = c.i32_add(c.getLocal("x"), c.i32_const(i*f2size + f1size)); - const R = (i==0) ? c.getLocal("r") : c.i32_add(c.getLocal("r"), c.i32_const(i*f2size)); - const Rc0 = R; - const Rc1 = c.i32_add(c.getLocal("r"), c.i32_const(i*f2size + f1size)); - const coef = mul2(F12[Math.floor(i/3)][n%12] , F6[i%3][n%6]); - const pCoef = module.alloc([ - ...utils$2.bigInt2BytesLE(toMontgomery(coef[0]), 32), - ...utils$2.bigInt2BytesLE(toMontgomery(coef[1]), 32), - ]); - if (n%2 == 1) { - f.addCode( - c.call(f1mPrefix + "_copy", Xc0, Rc0), - c.call(f1mPrefix + "_neg", Xc1, Rc1), - c.call(f2mPrefix + "_mul", R, c.i32_const(pCoef), R), - ); - } else { - f.addCode(c.call(f2mPrefix + "_mul", X, c.i32_const(pCoef), R)); - } - } - - function mul2(a, b) { - const ac0 = BigInt(a[0]); - const ac1 = BigInt(a[1]); - const bc0 = BigInt(b[0]); - const bc1 = BigInt(b[1]); - const res = [ - (ac0 * bc0 - ( ac1 * bc1) ) % q, - (ac0 * bc1 + ( ac1 * bc0) ) % q, - ]; - if (isNegative$2(res[0])) res[0] = res[0] + q; - return res; - } - - } - - - - function buildFinalExponentiationFirstChunk() { - - const f = module.addFunction(prefix+ "__finalExponentiationFirstChunk"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const elt = c.getLocal("x"); - const eltC0 = elt; - const eltC1 = c.i32_add(elt, c.i32_const(n8*6)); - const r = c.getLocal("r"); - const pA = module.alloc(ftsize); - const A = c.i32_const(pA); - const Ac0 = A; - const Ac1 = c.i32_const(pA + n8*6); - const B = c.i32_const(module.alloc(ftsize)); - const C = c.i32_const(module.alloc(ftsize)); - const D = c.i32_const(module.alloc(ftsize)); - - f.addCode( - // const alt_bn128_Fq12 A = alt_bn128_Fq12(elt.c0,-elt.c1); - c.call(f6mPrefix + "_copy", eltC0, Ac0), - c.call(f6mPrefix + "_neg", eltC1, Ac1), - - // const alt_bn128_Fq12 B = elt.inverse(); - c.call(ftmPrefix + "_inverse", elt, B), - - // const alt_bn128_Fq12 C = A * B; - c.call(ftmPrefix + "_mul", A, B, C), - // const alt_bn128_Fq12 D = C.Frobenius_map(2); - c.call(prefix + "__frobeniusMap2", C, D), - // const alt_bn128_Fq12 result = D * C; - c.call(ftmPrefix + "_mul", C, D, r), - ); - } - - function buildCyclotomicSquare() { - const f = module.addFunction(prefix+ "__cyclotomicSquare"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x4 = c.i32_add(c.getLocal("x"), c.i32_const(f2size)); - const x3 = c.i32_add(c.getLocal("x"), c.i32_const(2*f2size)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(3*f2size)); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(4*f2size)); - const x5 = c.i32_add(c.getLocal("x"), c.i32_const(5*f2size)); - - const r0 = c.getLocal("r"); - const r4 = c.i32_add(c.getLocal("r"), c.i32_const(f2size)); - const r3 = c.i32_add(c.getLocal("r"), c.i32_const(2*f2size)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(3*f2size)); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(4*f2size)); - const r5 = c.i32_add(c.getLocal("r"), c.i32_const(5*f2size)); - - const t0 = c.i32_const(module.alloc(f2size)); - const t1 = c.i32_const(module.alloc(f2size)); - const t2 = c.i32_const(module.alloc(f2size)); - const t3 = c.i32_const(module.alloc(f2size)); - const t4 = c.i32_const(module.alloc(f2size)); - const t5 = c.i32_const(module.alloc(f2size)); - const tmp = c.i32_const(module.alloc(f2size)); - const AUX = c.i32_const(module.alloc(f2size)); - - - f.addCode( - // // t0 + t1*y = (z0 + z1*y)^2 = a^2 - // tmp = z0 * z1; - // t0 = (z0 + z1) * (z0 + my_Fp6::non_residue * z1) - tmp - my_Fp6::non_residue * tmp; - // t1 = tmp + tmp; - c.call(f2mPrefix + "_mul", x0, x1, tmp), - c.call(f2mPrefix + "_mul", x1, c.i32_const(pNonResidueF6), t0), - c.call(f2mPrefix + "_add", x0, t0, t0), - c.call(f2mPrefix + "_add", x0, x1, AUX), - c.call(f2mPrefix + "_mul", AUX, t0, t0), - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), tmp, AUX), - c.call(f2mPrefix + "_add", tmp, AUX, AUX), - c.call(f2mPrefix + "_sub", t0, AUX, t0), - c.call(f2mPrefix + "_add", tmp, tmp, t1), - - // // t2 + t3*y = (z2 + z3*y)^2 = b^2 - // tmp = z2 * z3; - // t2 = (z2 + z3) * (z2 + my_Fp6::non_residue * z3) - tmp - my_Fp6::non_residue * tmp; - // t3 = tmp + tmp; - c.call(f2mPrefix + "_mul", x2, x3, tmp), - c.call(f2mPrefix + "_mul", x3, c.i32_const(pNonResidueF6), t2), - c.call(f2mPrefix + "_add", x2, t2, t2), - c.call(f2mPrefix + "_add", x2, x3, AUX), - c.call(f2mPrefix + "_mul", AUX, t2, t2), - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), tmp, AUX), - c.call(f2mPrefix + "_add", tmp, AUX, AUX), - c.call(f2mPrefix + "_sub", t2, AUX, t2), - c.call(f2mPrefix + "_add", tmp, tmp, t3), - - // // t4 + t5*y = (z4 + z5*y)^2 = c^2 - // tmp = z4 * z5; - // t4 = (z4 + z5) * (z4 + my_Fp6::non_residue * z5) - tmp - my_Fp6::non_residue * tmp; - // t5 = tmp + tmp; - c.call(f2mPrefix + "_mul", x4, x5, tmp), - c.call(f2mPrefix + "_mul", x5, c.i32_const(pNonResidueF6), t4), - c.call(f2mPrefix + "_add", x4, t4, t4), - c.call(f2mPrefix + "_add", x4, x5, AUX), - c.call(f2mPrefix + "_mul", AUX, t4, t4), - c.call(f2mPrefix + "_mul", c.i32_const(pNonResidueF6), tmp, AUX), - c.call(f2mPrefix + "_add", tmp, AUX, AUX), - c.call(f2mPrefix + "_sub", t4, AUX, t4), - c.call(f2mPrefix + "_add", tmp, tmp, t5), - - // For A - // z0 = 3 * t0 - 2 * z0 - c.call(f2mPrefix + "_sub", t0, x0, r0), - c.call(f2mPrefix + "_add", r0, r0, r0), - c.call(f2mPrefix + "_add", t0, r0, r0), - // z1 = 3 * t1 + 2 * z1 - c.call(f2mPrefix + "_add", t1, x1, r1), - c.call(f2mPrefix + "_add", r1, r1, r1), - c.call(f2mPrefix + "_add", t1, r1, r1), - - // For B - // z2 = 3 * (xi * t5) + 2 * z2 - c.call(f2mPrefix + "_mul", t5, c.i32_const(pAltBn128Twist), AUX), - c.call(f2mPrefix + "_add", AUX, x2, r2), - c.call(f2mPrefix + "_add", r2, r2, r2), - c.call(f2mPrefix + "_add", AUX, r2, r2), - // z3 = 3 * t4 - 2 * z3 - c.call(f2mPrefix + "_sub", t4, x3, r3), - c.call(f2mPrefix + "_add", r3, r3, r3), - c.call(f2mPrefix + "_add", t4, r3, r3), - - // For C - // z4 = 3 * t2 - 2 * z4 - c.call(f2mPrefix + "_sub", t2, x4, r4), - c.call(f2mPrefix + "_add", r4, r4, r4), - c.call(f2mPrefix + "_add", t2, r4, r4), - // z5 = 3 * t3 + 2 * z5 - c.call(f2mPrefix + "_add", t3, x5, r5), - c.call(f2mPrefix + "_add", r5, r5, r5), - c.call(f2mPrefix + "_add", t3, r5, r5), - - ); - } - - - function buildCyclotomicExp(exponent, fnName) { - const exponentNafBytes = naf(exponent).map( (b) => (b==-1 ? 0xFF: b) ); - const pExponentNafBytes = module.alloc(exponentNafBytes); - - const f = module.addFunction(prefix+ "__cyclotomicExp_"+fnName); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - f.addLocal("bit", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - const x = c.getLocal("x"); - - const res = c.getLocal("r"); - - const inverse = c.i32_const(module.alloc(ftsize)); - - - f.addCode( - c.call(ftmPrefix + "_conjugate", x, inverse), - c.call(ftmPrefix + "_one", res), - - c.if( - c.teeLocal("bit", c.i32_load8_s(c.i32_const(exponentNafBytes.length-1), pExponentNafBytes)), - c.if( - c.i32_eq( - c.getLocal("bit"), - c.i32_const(1) - ), - c.call(ftmPrefix + "_mul", res, x, res), - c.call(ftmPrefix + "_mul", res, inverse, res), - ) - ), - - c.setLocal("i", c.i32_const(exponentNafBytes.length-2)), - c.block(c.loop( - c.call(prefix + "__cyclotomicSquare", res, res), - c.if( - c.teeLocal("bit", c.i32_load8_s(c.getLocal("i"), pExponentNafBytes)), - c.if( - c.i32_eq( - c.getLocal("bit"), - c.i32_const(1) - ), - c.call(ftmPrefix + "_mul", res, x, res), - c.call(ftmPrefix + "_mul", res, inverse, res), - ) - ), - c.br_if(1, c.i32_eqz ( c.getLocal("i") )), - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - - - function buildFinalExponentiationLastChunk() { - buildCyclotomicSquare(); - buildCyclotomicExp(finalExpZ, "w0"); - - const f = module.addFunction(prefix+ "__finalExponentiationLastChunk"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const elt = c.getLocal("x"); - const result = c.getLocal("r"); - const A = c.i32_const(module.alloc(ftsize)); - const B = c.i32_const(module.alloc(ftsize)); - const C = c.i32_const(module.alloc(ftsize)); - const D = c.i32_const(module.alloc(ftsize)); - const E = c.i32_const(module.alloc(ftsize)); - const F = c.i32_const(module.alloc(ftsize)); - const G = c.i32_const(module.alloc(ftsize)); - const H = c.i32_const(module.alloc(ftsize)); - const I = c.i32_const(module.alloc(ftsize)); - const J = c.i32_const(module.alloc(ftsize)); - const K = c.i32_const(module.alloc(ftsize)); - const L = c.i32_const(module.alloc(ftsize)); - const M = c.i32_const(module.alloc(ftsize)); - const N = c.i32_const(module.alloc(ftsize)); - const O = c.i32_const(module.alloc(ftsize)); - const P = c.i32_const(module.alloc(ftsize)); - const Q = c.i32_const(module.alloc(ftsize)); - const R = c.i32_const(module.alloc(ftsize)); - const S = c.i32_const(module.alloc(ftsize)); - const T = c.i32_const(module.alloc(ftsize)); - const U = c.i32_const(module.alloc(ftsize)); - - f.addCode( - - - // A = exp_by_neg_z(elt) // = elt^(-z) - c.call(prefix + "__cyclotomicExp_w0", elt, A), - c.call(ftmPrefix + "_conjugate", A, A), - // B = A^2 // = elt^(-2*z) - c.call(prefix + "__cyclotomicSquare", A, B), - // C = B^2 // = elt^(-4*z) - c.call(prefix + "__cyclotomicSquare", B, C), - // D = C * B // = elt^(-6*z) - c.call(ftmPrefix + "_mul", C, B, D), - // E = exp_by_neg_z(D) // = elt^(6*z^2) - c.call(prefix + "__cyclotomicExp_w0", D, E), - c.call(ftmPrefix + "_conjugate", E, E), - // F = E^2 // = elt^(12*z^2) - c.call(prefix + "__cyclotomicSquare", E, F), - // G = epx_by_neg_z(F) // = elt^(-12*z^3) - c.call(prefix + "__cyclotomicExp_w0", F, G), - c.call(ftmPrefix + "_conjugate", G, G), - // H = conj(D) // = elt^(6*z) - c.call(ftmPrefix + "_conjugate", D, H), - // I = conj(G) // = elt^(12*z^3) - c.call(ftmPrefix + "_conjugate", G, I), - // J = I * E // = elt^(12*z^3 + 6*z^2) - c.call(ftmPrefix + "_mul", I, E, J), - // K = J * H // = elt^(12*z^3 + 6*z^2 + 6*z) - c.call(ftmPrefix + "_mul", J, H, K), - // L = K * B // = elt^(12*z^3 + 6*z^2 + 4*z) - c.call(ftmPrefix + "_mul", K, B, L), - // M = K * E // = elt^(12*z^3 + 12*z^2 + 6*z) - c.call(ftmPrefix + "_mul", K, E, M), - - // N = M * elt // = elt^(12*z^3 + 12*z^2 + 6*z + 1) - c.call(ftmPrefix + "_mul", M, elt, N), - - // O = L.Frobenius_map(1) // = elt^(q*(12*z^3 + 6*z^2 + 4*z)) - c.call(prefix + "__frobeniusMap1", L, O), - // P = O * N // = elt^(q*(12*z^3 + 6*z^2 + 4*z) * (12*z^3 + 12*z^2 + 6*z + 1)) - c.call(ftmPrefix + "_mul", O, N, P), - // Q = K.Frobenius_map(2) // = elt^(q^2 * (12*z^3 + 6*z^2 + 6*z)) - c.call(prefix + "__frobeniusMap2", K, Q), - // R = Q * P // = elt^(q^2 * (12*z^3 + 6*z^2 + 6*z) + q*(12*z^3 + 6*z^2 + 4*z) * (12*z^3 + 12*z^2 + 6*z + 1)) - c.call(ftmPrefix + "_mul", Q, P, R), - // S = conj(elt) // = elt^(-1) - c.call(ftmPrefix + "_conjugate", elt, S), - // T = S * L // = elt^(12*z^3 + 6*z^2 + 4*z - 1) - c.call(ftmPrefix + "_mul", S, L, T), - // U = T.Frobenius_map(3) // = elt^(q^3(12*z^3 + 6*z^2 + 4*z - 1)) - c.call(prefix + "__frobeniusMap3", T, U), - // V = U * R // = elt^(q^3(12*z^3 + 6*z^2 + 4*z - 1) + q^2 * (12*z^3 + 6*z^2 + 6*z) + q*(12*z^3 + 6*z^2 + 4*z) * (12*z^3 + 12*z^2 + 6*z + 1)) - c.call(ftmPrefix + "_mul", U, R, result), - // result = V - ); - } - - - function buildFinalExponentiation() { - buildFinalExponentiationFirstChunk(); - buildFinalExponentiationLastChunk(); - const f = module.addFunction(prefix+ "_finalExponentiation"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const elt = c.getLocal("x"); - const result = c.getLocal("r"); - const eltToFirstChunk = c.i32_const(module.alloc(ftsize)); - - f.addCode( - c.call(prefix + "__finalExponentiationFirstChunk", elt, eltToFirstChunk ), - c.call(prefix + "__finalExponentiationLastChunk", eltToFirstChunk, result ) - ); - } - - - function buildFinalExponentiationOld() { - const f = module.addFunction(prefix+ "_finalExponentiationOld"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const exponent = 552484233613224096312617126783173147097382103762957654188882734314196910839907541213974502761540629817009608548654680343627701153829446747810907373256841551006201639677726139946029199968412598804882391702273019083653272047566316584365559776493027495458238373902875937659943504873220554161550525926302303331747463515644711876653177129578303191095900909191624817826566688241804408081892785725967931714097716709526092261278071952560171111444072049229123565057483750161460024353346284167282452756217662335528813519139808291170539072125381230815729071544861602750936964829313608137325426383735122175229541155376346436093930287402089517426973178917569713384748081827255472576937471496195752727188261435633271238710131736096299798168852925540549342330775279877006784354801422249722573783561685179618816480037695005515426162362431072245638324744480n; - - const pExponent = module.alloc(utils$2.bigInt2BytesLE( exponent, 352 )); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call(ftmPrefix + "_exp", c.getLocal("x"), c.i32_const(pExponent), c.i32_const(352), c.getLocal("r")), - ); - } - - - - - const pPreP = module.alloc(prePSize); - const pPreQ = module.alloc(preQSize); - - function buildPairingEquation(nPairings) { - - const f = module.addFunction(prefix+ "_pairingEq"+nPairings); - for (let i=0; i acc + ( b!=0 ? 1 : 0) ,0); - const ateNCoefs = ateNAddCoefs + ateNDblCoefs + 1; - const prePSize = 3*2*n8q; - const preQSize = 3*n8q*2 + ateNCoefs*ateCoefSize; - const finalExpIsNegative = true; - - const finalExpZ = 15132376222941642752n; - - - module.modules[prefix] = { - n64q: n64q, - n64r: n64r, - n8q: n8q, - n8r: n8r, - pG1gen: pG1gen, - pG1zero: pG1zero, - pG1b: pG1b, - pG2gen: pG2gen, - pG2zero: pG2zero, - pG2b: pG2b, - pq: module.modules["f1m"].pq, - pr: pr, - pOneT: pOneT, - r: r, - q: q, - prePSize: prePSize, - preQSize: preQSize - }; - - - function naf(n) { - let E = n; - const res = []; - while (E > 0n) { - if (isOdd(E)) { - const z = 2 - Number(E % 4n); - res.push( z ); - E = E - BigInt(z); - } else { - res.push( 0 ); - } - E = E >> 1n; - } - return res; - } - - function bits(n) { - let E = n; - const res = []; - while (E > 0n) { - if (isOdd(E)) { - res.push( 1 ); - } else { - res.push( 0 ); - } - E = E >> 1n; - } - return res; - } - - function buildPrepareG1() { - const f = module.addFunction(prefix+ "_prepareG1"); - f.addParam("pP", "i32"); - f.addParam("ppreP", "i32"); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call(g1mPrefix + "_normalize", c.getLocal("pP"), c.getLocal("ppreP")), // TODO Remove if already in affine - ); - } - - - - function buildPrepDoubleStep() { - const f = module.addFunction(prefix+ "_prepDblStep"); - f.addParam("R", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const Rx = c.getLocal("R"); - const Ry = c.i32_add(c.getLocal("R"), c.i32_const(2*n8q)); - const Rz = c.i32_add(c.getLocal("R"), c.i32_const(4*n8q)); - - const t0 = c.getLocal("r"); - const t3 = c.i32_add(c.getLocal("r"), c.i32_const(2*n8q)); - const t6 = c.i32_add(c.getLocal("r"), c.i32_const(4*n8q)); - - - const zsquared = c.i32_const(module.alloc(f2size)); - const t1 = c.i32_const(module.alloc(f2size)); - const t2 = c.i32_const(module.alloc(f2size)); - const t4 = c.i32_const(module.alloc(f2size)); - const t5 = c.i32_const(module.alloc(f2size)); - - f.addCode( - - // tmp0 = r.x.square(); - c.call(f2mPrefix + "_square", Rx, t0), - - // tmp1 = r.y.square(); - c.call(f2mPrefix + "_square", Ry, t1), - - // tmp2 = tmp1.square(); - c.call(f2mPrefix + "_square", t1, t2), - - // tmp3 = (tmp1 + r.x).square() - tmp0 - tmp2; - c.call(f2mPrefix + "_add", t1, Rx, t3), - c.call(f2mPrefix + "_square", t3, t3), - c.call(f2mPrefix + "_sub", t3, t0, t3), - c.call(f2mPrefix + "_sub", t3, t2, t3), - - // tmp3 = tmp3 + tmp3; - c.call(f2mPrefix + "_add", t3, t3, t3), - - // tmp4 = tmp0 + tmp0 + tmp0; - c.call(f2mPrefix + "_add", t0, t0, t4), - c.call(f2mPrefix + "_add", t4, t0, t4), - - // tmp6 = r.x + tmp4; - c.call(f2mPrefix + "_add", Rx, t4, t6), - - // tmp5 = tmp4.square(); - c.call(f2mPrefix + "_square", t4, t5), - - // zsquared = r.z.square(); - c.call(f2mPrefix + "_square", Rz, zsquared), - - // r.x = tmp5 - tmp3 - tmp3; - c.call(f2mPrefix + "_sub", t5, t3, Rx), - c.call(f2mPrefix + "_sub", Rx, t3, Rx), - - // r.z = (r.z + r.y).square() - tmp1 - zsquared; - c.call(f2mPrefix + "_add", Rz, Ry, Rz), - c.call(f2mPrefix + "_square", Rz, Rz), - c.call(f2mPrefix + "_sub", Rz, t1, Rz), - c.call(f2mPrefix + "_sub", Rz, zsquared, Rz), - - // r.y = (tmp3 - r.x) * tmp4; - c.call(f2mPrefix + "_sub", t3, Rx, Ry), - c.call(f2mPrefix + "_mul", Ry, t4, Ry), - - // tmp2 = tmp2 + tmp2; - c.call(f2mPrefix + "_add", t2, t2, t2), - - // tmp2 = tmp2 + tmp2; - c.call(f2mPrefix + "_add", t2, t2, t2), - - // tmp2 = tmp2 + tmp2; - c.call(f2mPrefix + "_add", t2, t2, t2), - - // r.y -= tmp2; - c.call(f2mPrefix + "_sub", Ry, t2, Ry), - - // tmp3 = tmp4 * zsquared; - c.call(f2mPrefix + "_mul", t4, zsquared, t3), - - // tmp3 = tmp3 + tmp3; - c.call(f2mPrefix + "_add", t3, t3, t3), - - // tmp3 = -tmp3; - c.call(f2mPrefix + "_neg", t3, t3), - - // tmp6 = tmp6.square() - tmp0 - tmp5; - c.call(f2mPrefix + "_square", t6, t6), - c.call(f2mPrefix + "_sub", t6, t0, t6), - c.call(f2mPrefix + "_sub", t6, t5, t6), - - // tmp1 = tmp1 + tmp1; - c.call(f2mPrefix + "_add", t1, t1, t1), - - // tmp1 = tmp1 + tmp1; - c.call(f2mPrefix + "_add", t1, t1, t1), - - // tmp6 = tmp6 - tmp1; - c.call(f2mPrefix + "_sub", t6, t1, t6), - - // tmp0 = r.z * zsquared; - c.call(f2mPrefix + "_mul", Rz, zsquared, t0), - - // tmp0 = tmp0 + tmp0; - c.call(f2mPrefix + "_add", t0, t0, t0), - - ); - } - - function buildPrepAddStep() { - const f = module.addFunction(prefix+ "_prepAddStep"); - f.addParam("R", "i32"); - f.addParam("Q", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const Rx = c.getLocal("R"); - const Ry = c.i32_add(c.getLocal("R"), c.i32_const(2*n8q)); - const Rz = c.i32_add(c.getLocal("R"), c.i32_const(4*n8q)); - - const Qx = c.getLocal("Q"); - const Qy = c.i32_add(c.getLocal("Q"), c.i32_const(2*n8q)); - - const t10 = c.getLocal("r"); - const t1 = c.i32_add(c.getLocal("r"), c.i32_const(2*n8q)); - const t9 = c.i32_add(c.getLocal("r"), c.i32_const(4*n8q)); - - const zsquared = c.i32_const(module.alloc(f2size)); - const ysquared = c.i32_const(module.alloc(f2size)); - const ztsquared = c.i32_const(module.alloc(f2size)); - const t0 = c.i32_const(module.alloc(f2size)); - const t2 = c.i32_const(module.alloc(f2size)); - const t3 = c.i32_const(module.alloc(f2size)); - const t4 = c.i32_const(module.alloc(f2size)); - const t5 = c.i32_const(module.alloc(f2size)); - const t6 = c.i32_const(module.alloc(f2size)); - const t7 = c.i32_const(module.alloc(f2size)); - const t8 = c.i32_const(module.alloc(f2size)); - - f.addCode( - - // zsquared = r.z.square(); - c.call(f2mPrefix + "_square", Rz, zsquared), - - // ysquared = q.y.square(); - c.call(f2mPrefix + "_square", Qy, ysquared), - - // t0 = zsquared * q.x; - c.call(f2mPrefix + "_mul", zsquared, Qx, t0), - - // t1 = ((q.y + r.z).square() - ysquared - zsquared) * zsquared; - c.call(f2mPrefix + "_add", Qy, Rz, t1), - c.call(f2mPrefix + "_square", t1, t1), - c.call(f2mPrefix + "_sub", t1, ysquared, t1), - c.call(f2mPrefix + "_sub", t1, zsquared, t1), - c.call(f2mPrefix + "_mul", t1, zsquared, t1), - - // t2 = t0 - r.x; - c.call(f2mPrefix + "_sub", t0, Rx, t2), - - // t3 = t2.square(); - c.call(f2mPrefix + "_square", t2, t3), - - // t4 = t3 + t3; - c.call(f2mPrefix + "_add", t3, t3, t4), - - // t4 = t4 + t4; - c.call(f2mPrefix + "_add", t4, t4, t4), - - // t5 = t4 * t2; - c.call(f2mPrefix + "_mul", t4, t2, t5), - - // t6 = t1 - r.y - r.y; - c.call(f2mPrefix + "_sub", t1, Ry, t6), - c.call(f2mPrefix + "_sub", t6, Ry, t6), - - // t9 = t6 * q.x; - c.call(f2mPrefix + "_mul", t6, Qx, t9), - - // t7 = t4 * r.x; - c.call(f2mPrefix + "_mul", t4, Rx, t7), - - // r.x = t6.square() - t5 - t7 - t7; - c.call(f2mPrefix + "_square", t6, Rx), - c.call(f2mPrefix + "_sub", Rx, t5, Rx), - c.call(f2mPrefix + "_sub", Rx, t7, Rx), - c.call(f2mPrefix + "_sub", Rx, t7, Rx), - - // r.z = (r.z + t2).square() - zsquared - t3; - c.call(f2mPrefix + "_add", Rz, t2, Rz), - c.call(f2mPrefix + "_square", Rz, Rz), - c.call(f2mPrefix + "_sub", Rz, zsquared, Rz), - c.call(f2mPrefix + "_sub", Rz, t3, Rz), - - // t10 = q.y + r.z; - c.call(f2mPrefix + "_add", Qy, Rz, t10), - - // t8 = (t7 - r.x) * t6; - c.call(f2mPrefix + "_sub", t7, Rx, t8), - c.call(f2mPrefix + "_mul", t8, t6, t8), - - // t0 = r.y * t5; - c.call(f2mPrefix + "_mul", Ry, t5, t0), - - // t0 = t0 + t0; - c.call(f2mPrefix + "_add", t0, t0, t0), - - // r.y = t8 - t0; - c.call(f2mPrefix + "_sub", t8, t0, Ry), - - // t10 = t10.square() - ysquared; - c.call(f2mPrefix + "_square", t10, t10), - c.call(f2mPrefix + "_sub", t10, ysquared, t10), - - // ztsquared = r.z.square(); - c.call(f2mPrefix + "_square", Rz, ztsquared), - - // t10 = t10 - ztsquared; - c.call(f2mPrefix + "_sub", t10, ztsquared, t10), - - // t9 = t9 + t9 - t10; - c.call(f2mPrefix + "_add", t9, t9, t9), - c.call(f2mPrefix + "_sub", t9, t10, t9), - - // t10 = r.z + r.z; - c.call(f2mPrefix + "_add", Rz, Rz, t10), - - // t6 = -t6; - c.call(f2mPrefix + "_neg", t6, t6), - - // t1 = t6 + t6; - c.call(f2mPrefix + "_add", t6, t6, t1), - ); - } - - - function buildPrepareG2() { - const f = module.addFunction(prefix+ "_prepareG2"); - f.addParam("pQ", "i32"); - f.addParam("ppreQ", "i32"); - f.addLocal("pCoef", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - - const Q = c.getLocal("pQ"); - - const pR = module.alloc(f2size*3); - const R = c.i32_const(pR); - - const base = c.getLocal("ppreQ"); - - f.addCode( - c.call(g2mPrefix + "_normalize", Q, base), - c.if( - c.call(g2mPrefix + "_isZero", base), - c.ret([]) - ), - c.call(g2mPrefix + "_copy", base, R), - c.setLocal("pCoef", c.i32_add(c.getLocal("ppreQ"), c.i32_const(f2size*3))), - ); - - f.addCode( - c.setLocal("i", c.i32_const(ateLoopBitBytes.length-2)), - c.block(c.loop( - - c.call(prefix + "_prepDblStep", R, c.getLocal("pCoef")), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - c.if( - c.i32_load8_s(c.getLocal("i"), pAteLoopBitBytes), - [ - ...c.call(prefix + "_prepAddStep", R, base, c.getLocal("pCoef")), - ...c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - ] - ), - c.br_if(1, c.i32_eqz ( c.getLocal("i") )), - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - } - - - function buildF6Mul1() { - const f = module.addFunction(f6mPrefix+ "_mul1"); - f.addParam("pA", "i32"); // F6 - f.addParam("pC1", "i32"); // F2 - f.addParam("pR", "i32"); // F6 - - const c = f.getCodeBuilder(); - - const A_c0 = c.getLocal("pA"); - const A_c1 = c.i32_add(c.getLocal("pA"), c.i32_const(f1size*2)); - const A_c2 = c.i32_add(c.getLocal("pA"), c.i32_const(f1size*4)); - - const c1 = c.getLocal("pC1"); - - const t1 = c.getLocal("pR"); - const t2 = c.i32_add(c.getLocal("pR"), c.i32_const(f1size*2)); - const b_b = c.i32_add(c.getLocal("pR"), c.i32_const(f1size*4)); - - const Ac0_Ac1 = c.i32_const(module.alloc(f1size*2)); - const Ac1_Ac2 = c.i32_const(module.alloc(f1size*2)); - - f.addCode( - - c.call(f2mPrefix + "_add", A_c0, A_c1, Ac0_Ac1), - c.call(f2mPrefix + "_add", A_c1, A_c2, Ac1_Ac2), - - // let b_b = self.c1 * c1; - c.call(f2mPrefix + "_mul", A_c1, c1, b_b), - - // let t1 = (self.c1 + self.c2) * c1 - b_b; - c.call(f2mPrefix + "_mul", Ac1_Ac2, c1, t1), - c.call(f2mPrefix + "_sub", t1, b_b, t1), - - // let t1 = t1.mul_by_nonresidue(); - c.call(f2mPrefix + "_mulNR", t1, t1), - - // let t2 = (self.c0 + self.c1) * c1 - b_b; - c.call(f2mPrefix + "_mul", Ac0_Ac1, c1, t2), - c.call(f2mPrefix + "_sub", t2, b_b, t2), - ); - } - buildF6Mul1(); - - function buildF6Mul01() { - const f = module.addFunction(f6mPrefix+ "_mul01"); - f.addParam("pA", "i32"); // F6 - f.addParam("pC0", "i32"); // F2 - f.addParam("pC1", "i32"); // F2 - f.addParam("pR", "i32"); // F6 - - const c = f.getCodeBuilder(); - - const A_c0 = c.getLocal("pA"); - const A_c1 = c.i32_add(c.getLocal("pA"), c.i32_const(f1size*2)); - const A_c2 = c.i32_add(c.getLocal("pA"), c.i32_const(f1size*4)); - - const c0 = c.getLocal("pC0"); - const c1 = c.getLocal("pC1"); - - const t1 = c.getLocal("pR"); - const t2 = c.i32_add(c.getLocal("pR"), c.i32_const(f1size*2)); - const t3 = c.i32_add(c.getLocal("pR"), c.i32_const(f1size*4)); - - const a_a = c.i32_const(module.alloc(f1size*2)); - const b_b = c.i32_const(module.alloc(f1size*2)); - const Ac0_Ac1 = c.i32_const(module.alloc(f1size*2)); - const Ac0_Ac2 = c.i32_const(module.alloc(f1size*2)); - - f.addCode( - // let a_a = self.c0 * c0; - c.call(f2mPrefix + "_mul", A_c0, c0, a_a), - - // let b_b = self.c1 * c1; - c.call(f2mPrefix + "_mul", A_c1, c1, b_b), - - - c.call(f2mPrefix + "_add", A_c0, A_c1, Ac0_Ac1), - c.call(f2mPrefix + "_add", A_c0, A_c2, Ac0_Ac2), - - // let t1 = (self.c1 + self.c2) * c1 - b_b; - c.call(f2mPrefix + "_add", A_c1, A_c2, t1), - c.call(f2mPrefix + "_mul", t1, c1, t1), - c.call(f2mPrefix + "_sub", t1, b_b, t1), - - // let t1 = t1.mul_by_nonresidue() + a_a; - c.call(f2mPrefix + "_mulNR", t1, t1), - c.call(f2mPrefix + "_add", t1, a_a, t1), - - // let t2 = (c0 + c1) * (self.c0 + self.c1) - a_a - b_b; - c.call(f2mPrefix + "_add", c0, c1, t2), - c.call(f2mPrefix + "_mul", t2, Ac0_Ac1, t2), - c.call(f2mPrefix + "_sub", t2, a_a, t2), - c.call(f2mPrefix + "_sub", t2, b_b, t2), - - // let t3 = (self.c0 + self.c2) * c0 - a_a + b_b; - c.call(f2mPrefix + "_mul", Ac0_Ac2, c0, t3), - c.call(f2mPrefix + "_sub", t3, a_a, t3), - c.call(f2mPrefix + "_add", t3, b_b, t3), - - - ); - } - buildF6Mul01(); - - - function buildF12Mul014() { - - const f = module.addFunction(ftmPrefix+ "_mul014"); - f.addParam("pA", "i32"); // F12 - f.addParam("pC0", "i32"); // F2 - f.addParam("pC1", "i32"); // F2 - f.addParam("pC4", "i32"); // F2 - f.addParam("pR", "i32"); // F12 - - const c = f.getCodeBuilder(); - - - const A_c0 = c.getLocal("pA"); - const A_c1 = c.i32_add(c.getLocal("pA"), c.i32_const(f1size*6)); - - const c0 = c.getLocal("pC0"); - const c1 = c.getLocal("pC1"); - const c4 = c.getLocal("pC4"); - - const aa = c.i32_const(module.alloc(f1size*6)); - const bb = c.i32_const(module.alloc(f1size*6)); - const o = c.i32_const(module.alloc(f1size*2)); - - const R_c0 = c.getLocal("pR"); - const R_c1 = c.i32_add(c.getLocal("pR"), c.i32_const(f1size*6)); - - f.addCode( - // let aa = self.c0.mul_by_01(c0, c1); - c.call(f6mPrefix + "_mul01", A_c0, c0, c1, aa), - - // let bb = self.c1.mul_by_1(c4); - c.call(f6mPrefix + "_mul1", A_c1, c4, bb), - - // let o = c1 + c4; - c.call(f2mPrefix + "_add", c1, c4, o), - - // let c1 = self.c1 + self.c0; - c.call(f6mPrefix + "_add", A_c1, A_c0, R_c1), - - // let c1 = c1.mul_by_01(c0, &o); - c.call(f6mPrefix + "_mul01", R_c1, c0, o, R_c1), - - // let c1 = c1 - aa - bb; - c.call(f6mPrefix + "_sub", R_c1, aa, R_c1), - c.call(f6mPrefix + "_sub", R_c1, bb, R_c1), - - // let c0 = bb; - c.call(f6mPrefix + "_copy", bb, R_c0), - - // let c0 = c0.mul_by_nonresidue(); - c.call(f6mPrefix + "_mulNR", R_c0, R_c0), - - // let c0 = c0 + aa; - c.call(f6mPrefix + "_add", R_c0, aa, R_c0), - ); - } - buildF12Mul014(); - - - function buildELL() { - const f = module.addFunction(prefix+ "_ell"); - f.addParam("pP", "i32"); - f.addParam("pCoefs", "i32"); - f.addParam("pF", "i32"); - - const c = f.getCodeBuilder(); - - const Px = c.getLocal("pP"); - const Py = c.i32_add(c.getLocal("pP"), c.i32_const(n8q)); - - const F = c.getLocal("pF"); - - const coef0_0 = c.getLocal("pCoefs"); - const coef0_1 = c.i32_add(c.getLocal("pCoefs"), c.i32_const(f1size)); - const coef1_0 = c.i32_add(c.getLocal("pCoefs"), c.i32_const(f1size*2)); - const coef1_1 = c.i32_add(c.getLocal("pCoefs"), c.i32_const(f1size*3)); - const coef2 = c.i32_add(c.getLocal("pCoefs"), c.i32_const(f1size*4)); - - const pc0 = module.alloc(f1size*2); - const c0 = c.i32_const(pc0); - const c0_c0 = c.i32_const(pc0); - const c0_c1 = c.i32_const(pc0+f1size); - - const pc1 = module.alloc(f1size*2); - const c1 = c.i32_const(pc1); - const c1_c0 = c.i32_const(pc1); - const c1_c1 = c.i32_const(pc1+f1size); - f.addCode( - // let mut c0 = coeffs.0; - // let mut c1 = coeffs.1; - // - // c0.c0 *= p.y; - // c0.c1 *= p.y; - // - // c1.c0 *= p.x; - // c1.c1 *= p.x; - // - // f.mul_by_014(&coeffs.2, &c1, &c0) - - c.call(f1mPrefix + "_mul", coef0_0, Py, c0_c0), - c.call(f1mPrefix + "_mul", coef0_1, Py, c0_c1), - c.call(f1mPrefix + "_mul", coef1_0, Px, c1_c0), - c.call(f1mPrefix + "_mul", coef1_1, Px, c1_c1), - - c.call(ftmPrefix + "_mul014", F, coef2, c1, c0, F), - - ); - - } - buildELL(); - - function buildMillerLoop() { - const f = module.addFunction(prefix+ "_millerLoop"); - f.addParam("ppreP", "i32"); - f.addParam("ppreQ", "i32"); - f.addParam("r", "i32"); - f.addLocal("pCoef", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - const preP = c.getLocal("ppreP"); - - const coefs = c.getLocal("pCoef"); - - const F = c.getLocal("r"); - - - f.addCode( - c.call(ftmPrefix + "_one", F), - - c.if( - c.call(g1mPrefix + "_isZero", preP), - c.ret([]) - ), - c.if( - c.call(g1mPrefix + "_isZero", c.getLocal("ppreQ")), - c.ret([]) - ), - c.setLocal("pCoef", c.i32_add( c.getLocal("ppreQ"), c.i32_const(f2size*3))), - - c.setLocal("i", c.i32_const(ateLoopBitBytes.length-2)), - c.block(c.loop( - - - c.call(prefix + "_ell", preP, coefs, F), - c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - - c.if( - c.i32_load8_s(c.getLocal("i"), pAteLoopBitBytes), - [ - ...c.call(prefix + "_ell", preP, coefs, F), - ...c.setLocal("pCoef", c.i32_add(c.getLocal("pCoef"), c.i32_const(ateCoefSize))), - ] - ), - c.call(ftmPrefix + "_square", F, F), - - c.br_if(1, c.i32_eq ( c.getLocal("i"), c.i32_const(1) )), - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )), - c.call(prefix + "_ell", preP, coefs, F), - - ); - - - { - f.addCode( - c.call(ftmPrefix + "_conjugate", F, F), - ); - } - } - - - function buildFrobeniusMap(n) { - const F12 = [ - [ - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - ], - [ - [1n, 0n], - [3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760n, 151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027n], - [793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351n, 0n], - [2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530n, 1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257n], - [793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350n, 0n], - [3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557n, 877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230n], - [4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786n, 0n], - [151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027n, 3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760n], - [4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436n, 0n], - [1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257n, 2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530n], - [4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437n, 0n], - [877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230n, 3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557n], - ] - ]; - - const F6 = [ - [ - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - [1n, 0n], - ], - [ - [1n, 0n], - [0n, 4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436n], - [793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350n, 0n], - [0n, 1n], - [4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436n, 0n], - [0n, 793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350n], - ], - [ - [1n, 0n], - [4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437n, 0n], - [4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436n, 0n], - [4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786n, 0n], - [793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350n, 0n], - [793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351n, 0n], - ] - ]; - - const f = module.addFunction(ftmPrefix + "_frobeniusMap"+n); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - for (let i=0; i<6; i++) { - const X = (i==0) ? c.getLocal("x") : c.i32_add(c.getLocal("x"), c.i32_const(i*f2size)); - const Xc0 = X; - const Xc1 = c.i32_add(c.getLocal("x"), c.i32_const(i*f2size + f1size)); - const R = (i==0) ? c.getLocal("r") : c.i32_add(c.getLocal("r"), c.i32_const(i*f2size)); - const Rc0 = R; - const Rc1 = c.i32_add(c.getLocal("r"), c.i32_const(i*f2size + f1size)); - const coef = mul2(F12[Math.floor(i/3)][n%12] , F6[i%3][n%6]); - const pCoef = module.alloc([ - ...utils$1.bigInt2BytesLE(toMontgomery(coef[0]), n8q), - ...utils$1.bigInt2BytesLE(toMontgomery(coef[1]), n8q), - ]); - if (n%2 == 1) { - f.addCode( - c.call(f1mPrefix + "_copy", Xc0, Rc0), - c.call(f1mPrefix + "_neg", Xc1, Rc1), - c.call(f2mPrefix + "_mul", R, c.i32_const(pCoef), R), - ); - } else { - f.addCode(c.call(f2mPrefix + "_mul", X, c.i32_const(pCoef), R)); - } - } - - function mul2(a, b) { - const ac0 = a[0]; - const ac1 = a[1]; - const bc0 = b[0]; - const bc1 = b[1]; - const res = [ - (ac0 * bc0 - (ac1 * bc1)) % q, - (ac0 * bc1 + (ac1 * bc0)) % q, - ]; - if (isNegative$1(res[0])) res[0] = res[0] + q; - return res; - } - - } - - - function buildCyclotomicSquare() { - const f = module.addFunction(prefix+ "__cyclotomicSquare"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const x0 = c.getLocal("x"); - const x4 = c.i32_add(c.getLocal("x"), c.i32_const(f2size)); - const x3 = c.i32_add(c.getLocal("x"), c.i32_const(2*f2size)); - const x2 = c.i32_add(c.getLocal("x"), c.i32_const(3*f2size)); - const x1 = c.i32_add(c.getLocal("x"), c.i32_const(4*f2size)); - const x5 = c.i32_add(c.getLocal("x"), c.i32_const(5*f2size)); - - const r0 = c.getLocal("r"); - const r4 = c.i32_add(c.getLocal("r"), c.i32_const(f2size)); - const r3 = c.i32_add(c.getLocal("r"), c.i32_const(2*f2size)); - const r2 = c.i32_add(c.getLocal("r"), c.i32_const(3*f2size)); - const r1 = c.i32_add(c.getLocal("r"), c.i32_const(4*f2size)); - const r5 = c.i32_add(c.getLocal("r"), c.i32_const(5*f2size)); - - const t0 = c.i32_const(module.alloc(f2size)); - const t1 = c.i32_const(module.alloc(f2size)); - const t2 = c.i32_const(module.alloc(f2size)); - const t3 = c.i32_const(module.alloc(f2size)); - const t4 = c.i32_const(module.alloc(f2size)); - const t5 = c.i32_const(module.alloc(f2size)); - const tmp = c.i32_const(module.alloc(f2size)); - const AUX = c.i32_const(module.alloc(f2size)); - - - f.addCode( - // // t0 + t1*y = (z0 + z1*y)^2 = a^2 - // tmp = z0 * z1; - // t0 = (z0 + z1) * (z0 + my_Fp6::non_residue * z1) - tmp - my_Fp6::non_residue * tmp; - // t1 = tmp + tmp; - c.call(f2mPrefix + "_mul", x0, x1, tmp), - c.call(f2mPrefix + "_mulNR", x1, t0), - c.call(f2mPrefix + "_add", x0, t0, t0), - c.call(f2mPrefix + "_add", x0, x1, AUX), - c.call(f2mPrefix + "_mul", AUX, t0, t0), - c.call(f2mPrefix + "_mulNR", tmp, AUX), - c.call(f2mPrefix + "_add", tmp, AUX, AUX), - c.call(f2mPrefix + "_sub", t0, AUX, t0), - c.call(f2mPrefix + "_add", tmp, tmp, t1), - - // // t2 + t3*y = (z2 + z3*y)^2 = b^2 - // tmp = z2 * z3; - // t2 = (z2 + z3) * (z2 + my_Fp6::non_residue * z3) - tmp - my_Fp6::non_residue * tmp; - // t3 = tmp + tmp; - c.call(f2mPrefix + "_mul", x2, x3, tmp), - c.call(f2mPrefix + "_mulNR", x3, t2), - c.call(f2mPrefix + "_add", x2, t2, t2), - c.call(f2mPrefix + "_add", x2, x3, AUX), - c.call(f2mPrefix + "_mul", AUX, t2, t2), - c.call(f2mPrefix + "_mulNR", tmp, AUX), - c.call(f2mPrefix + "_add", tmp, AUX, AUX), - c.call(f2mPrefix + "_sub", t2, AUX, t2), - c.call(f2mPrefix + "_add", tmp, tmp, t3), - - // // t4 + t5*y = (z4 + z5*y)^2 = c^2 - // tmp = z4 * z5; - // t4 = (z4 + z5) * (z4 + my_Fp6::non_residue * z5) - tmp - my_Fp6::non_residue * tmp; - // t5 = tmp + tmp; - c.call(f2mPrefix + "_mul", x4, x5, tmp), - c.call(f2mPrefix + "_mulNR", x5, t4), - c.call(f2mPrefix + "_add", x4, t4, t4), - c.call(f2mPrefix + "_add", x4, x5, AUX), - c.call(f2mPrefix + "_mul", AUX, t4, t4), - c.call(f2mPrefix + "_mulNR", tmp, AUX), - c.call(f2mPrefix + "_add", tmp, AUX, AUX), - c.call(f2mPrefix + "_sub", t4, AUX, t4), - c.call(f2mPrefix + "_add", tmp, tmp, t5), - - // For A - // z0 = 3 * t0 - 2 * z0 - c.call(f2mPrefix + "_sub", t0, x0, r0), - c.call(f2mPrefix + "_add", r0, r0, r0), - c.call(f2mPrefix + "_add", t0, r0, r0), - // z1 = 3 * t1 + 2 * z1 - c.call(f2mPrefix + "_add", t1, x1, r1), - c.call(f2mPrefix + "_add", r1, r1, r1), - c.call(f2mPrefix + "_add", t1, r1, r1), - - // For B - // z2 = 3 * (xi * t5) + 2 * z2 - c.call(f2mPrefix + "_mul", t5, c.i32_const(pBls12381Twist), AUX), - c.call(f2mPrefix + "_add", AUX, x2, r2), - c.call(f2mPrefix + "_add", r2, r2, r2), - c.call(f2mPrefix + "_add", AUX, r2, r2), - // z3 = 3 * t4 - 2 * z3 - c.call(f2mPrefix + "_sub", t4, x3, r3), - c.call(f2mPrefix + "_add", r3, r3, r3), - c.call(f2mPrefix + "_add", t4, r3, r3), - - // For C - // z4 = 3 * t2 - 2 * z4 - c.call(f2mPrefix + "_sub", t2, x4, r4), - c.call(f2mPrefix + "_add", r4, r4, r4), - c.call(f2mPrefix + "_add", t2, r4, r4), - // z5 = 3 * t3 + 2 * z5 - c.call(f2mPrefix + "_add", t3, x5, r5), - c.call(f2mPrefix + "_add", r5, r5, r5), - c.call(f2mPrefix + "_add", t3, r5, r5), - - ); - } - - - function buildCyclotomicExp(exponent, isExpNegative, fnName) { - const exponentNafBytes = naf(exponent).map( (b) => (b==-1 ? 0xFF: b) ); - const pExponentNafBytes = module.alloc(exponentNafBytes); - // const pExponent = module.alloc(utils.bigInt2BytesLE(exponent, n8)); - - const f = module.addFunction(prefix+ "__cyclotomicExp_"+fnName); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - f.addLocal("bit", "i32"); - f.addLocal("i", "i32"); - - const c = f.getCodeBuilder(); - - const x = c.getLocal("x"); - - const res = c.getLocal("r"); - - const inverse = c.i32_const(module.alloc(ftsize)); - - - f.addCode( - c.call(ftmPrefix + "_conjugate", x, inverse), - c.call(ftmPrefix + "_one", res), - - c.if( - c.teeLocal("bit", c.i32_load8_s(c.i32_const(exponentNafBytes.length-1), pExponentNafBytes)), - c.if( - c.i32_eq( - c.getLocal("bit"), - c.i32_const(1) - ), - c.call(ftmPrefix + "_mul", res, x, res), - c.call(ftmPrefix + "_mul", res, inverse, res), - ) - ), - - c.setLocal("i", c.i32_const(exponentNafBytes.length-2)), - c.block(c.loop( - c.call(prefix + "__cyclotomicSquare", res, res), - c.if( - c.teeLocal("bit", c.i32_load8_s(c.getLocal("i"), pExponentNafBytes)), - c.if( - c.i32_eq( - c.getLocal("bit"), - c.i32_const(1) - ), - c.call(ftmPrefix + "_mul", res, x, res), - c.call(ftmPrefix + "_mul", res, inverse, res), - ) - ), - c.br_if(1, c.i32_eqz ( c.getLocal("i") )), - c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), - c.br(0) - )) - ); - - if (isExpNegative) { - f.addCode( - c.call(ftmPrefix + "_conjugate", res, res), - ); - } - - } - - function buildFinalExponentiation() { - buildCyclotomicSquare(); - buildCyclotomicExp(finalExpZ, finalExpIsNegative, "w0"); - - const f = module.addFunction(prefix+ "_finalExponentiation"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const c = f.getCodeBuilder(); - - const elt = c.getLocal("x"); - const res = c.getLocal("r"); - const t0 = c.i32_const(module.alloc(ftsize)); - const t1 = c.i32_const(module.alloc(ftsize)); - const t2 = c.i32_const(module.alloc(ftsize)); - const t3 = c.i32_const(module.alloc(ftsize)); - const t4 = c.i32_const(module.alloc(ftsize)); - const t5 = c.i32_const(module.alloc(ftsize)); - const t6 = c.i32_const(module.alloc(ftsize)); - - f.addCode( - - // let mut t0 = f.frobenius_map(6) - c.call(ftmPrefix + "_frobeniusMap6", elt, t0), - - // let t1 = f.invert() - c.call(ftmPrefix + "_inverse", elt, t1), - - // let mut t2 = t0 * t1; - c.call(ftmPrefix + "_mul", t0, t1, t2), - - // t1 = t2.clone(); - c.call(ftmPrefix + "_copy", t2, t1), - - // t2 = t2.frobenius_map().frobenius_map(); - c.call(ftmPrefix + "_frobeniusMap2", t2, t2), - - // t2 *= t1; - c.call(ftmPrefix + "_mul", t2, t1, t2), - - - // t1 = cyclotomic_square(t2).conjugate(); - c.call(prefix + "__cyclotomicSquare", t2, t1), - c.call(ftmPrefix + "_conjugate", t1, t1), - - // let mut t3 = cycolotomic_exp(t2); - c.call(prefix + "__cyclotomicExp_w0", t2, t3), - - // let mut t4 = cyclotomic_square(t3); - c.call(prefix + "__cyclotomicSquare", t3, t4), - - // let mut t5 = t1 * t3; - c.call(ftmPrefix + "_mul", t1, t3, t5), - - // t1 = cycolotomic_exp(t5); - c.call(prefix + "__cyclotomicExp_w0", t5, t1), - - // t0 = cycolotomic_exp(t1); - c.call(prefix + "__cyclotomicExp_w0", t1, t0), - - // let mut t6 = cycolotomic_exp(t0); - c.call(prefix + "__cyclotomicExp_w0", t0, t6), - - // t6 *= t4; - c.call(ftmPrefix + "_mul", t6, t4, t6), - - // t4 = cycolotomic_exp(t6); - c.call(prefix + "__cyclotomicExp_w0", t6, t4), - - // t5 = t5.conjugate(); - c.call(ftmPrefix + "_conjugate", t5, t5), - - // t4 *= t5 * t2; - c.call(ftmPrefix + "_mul", t4, t5, t4), - c.call(ftmPrefix + "_mul", t4, t2, t4), - - // t5 = t2.conjugate(); - c.call(ftmPrefix + "_conjugate", t2, t5), - - // t1 *= t2; - c.call(ftmPrefix + "_mul", t1, t2, t1), - - // t1 = t1.frobenius_map().frobenius_map().frobenius_map(); - c.call(ftmPrefix + "_frobeniusMap3", t1, t1), - - // t6 *= t5; - c.call(ftmPrefix + "_mul", t6, t5, t6), - - // t6 = t6.frobenius_map(); - c.call(ftmPrefix + "_frobeniusMap1", t6, t6), - - // t3 *= t0; - c.call(ftmPrefix + "_mul", t3, t0, t3), - - // t3 = t3.frobenius_map().frobenius_map(); - c.call(ftmPrefix + "_frobeniusMap2", t3, t3), - - // t3 *= t1; - c.call(ftmPrefix + "_mul", t3, t1, t3), - - // t3 *= t6; - c.call(ftmPrefix + "_mul", t3, t6, t3), - - // f = t3 * t4; - c.call(ftmPrefix + "_mul", t3, t4, res), - - ); - } - - - function buildFinalExponentiationOld() { - const f = module.addFunction(prefix+ "_finalExponentiationOld"); - f.addParam("x", "i32"); - f.addParam("r", "i32"); - - const exponent = 322277361516934140462891564586510139908379969514828494218366688025288661041104682794998680497580008899973249814104447692778988208376779573819485263026159588510513834876303014016798809919343532899164848730280942609956670917565618115867287399623286813270357901731510188149934363360381614501334086825442271920079363289954510565375378443704372994881406797882676971082200626541916413184642520269678897559532260949334760604962086348898118982248842634379637598665468817769075878555493752214492790122785850202957575200176084204422751485957336465472324810982833638490904279282696134323072515220044451592646885410572234451732790590013479358343841220074174848221722017083597872017638514103174122784843925578370430843522959600095676285723737049438346544753168912974976791528535276317256904336520179281145394686565050419250614107803233314658825463117900250701199181529205942363159325765991819433914303908860460720581408201373164047773794825411011922305820065611121544561808414055302212057471395719432072209245600258134364584636810093520285711072578721435517884103526483832733289802426157301542744476740008494780363354305116978805620671467071400711358839553375340724899735460480144599782014906586543813292157922220645089192130209334926661588737007768565838519456601560804957985667880395221049249803753582637708560n; - - const pExponent = module.alloc(utils$1.bigInt2BytesLE( exponent, 544 )); - - const c = f.getCodeBuilder(); - - f.addCode( - c.call(ftmPrefix + "_exp", c.getLocal("x"), c.i32_const(pExponent), c.i32_const(544), c.getLocal("r")), - ); - } - - - const pPreP = module.alloc(prePSize); - const pPreQ = module.alloc(preQSize); - - function buildPairingEquation(nPairings) { - - const f = module.addFunction(prefix+ "_pairingEq"+nPairings); - for (let i=0; i= 0; i--) if (!F.F.isZero(a[i])) return isGreatest(F.F, a[i]); + return 0; + } else return gt(a, F.neg(a)); +} +var EC = class { + constructor(F, g) { + this.F = F; + this.g = g; + if (this.g.length == 2) this.g[2] = this.F.one; + this.zero = [ + this.F.zero, + this.F.one, + this.F.zero + ]; + } + add(p1, p2) { + const F = this.F; + if (this.eq(p1, this.zero)) return p2; + if (this.eq(p2, this.zero)) return p1; + const res = new Array(3); + const Z1Z1 = F.square(p1[2]); + const Z2Z2 = F.square(p2[2]); + const U1 = F.mul(p1[0], Z2Z2); + const U2 = F.mul(p2[0], Z1Z1); + const Z1_cubed = F.mul(p1[2], Z1Z1); + const Z2_cubed = F.mul(p2[2], Z2Z2); + const S1 = F.mul(p1[1], Z2_cubed); + const S2 = F.mul(p2[1], Z1_cubed); + if (F.eq(U1, U2) && F.eq(S1, S2)) return this.double(p1); + const H = F.sub(U2, U1); + const S2_minus_S1 = F.sub(S2, S1); + const I = F.square(F.add(H, H)); + const J = F.mul(H, I); + const r = F.add(S2_minus_S1, S2_minus_S1); + const V = F.mul(U1, I); + res[0] = F.sub(F.sub(F.square(r), J), F.add(V, V)); + const S1_J = F.mul(S1, J); + res[1] = F.sub(F.mul(r, F.sub(V, res[0])), F.add(S1_J, S1_J)); + res[2] = F.mul(H, F.sub(F.square(F.add(p1[2], p2[2])), F.add(Z1Z1, Z2Z2))); + 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 F = this.F; + const res = new Array(3); + if (this.eq(p, this.zero)) return p; + const A = F.square(p[0]); + const B = F.square(p[1]); + const C = F.square(B); + let D = F.sub(F.square(F.add(p[0], B)), F.add(A, C)); + D = F.add(D, D); + const E = F.add(F.add(A, A), A); + const FF = F.square(E); + res[0] = F.sub(FF, F.add(D, D)); + let eightC = F.add(C, C); + eightC = F.add(eightC, eightC); + eightC = F.add(eightC, eightC); + res[1] = F.sub(F.mul(E, F.sub(D, res[0])), eightC); + const Y1Z1 = F.mul(p[1], p[2]); + res[2] = F.add(Y1Z1, Y1Z1); + return res; + } + timesScalar(base, e) { + return mulScalar(this, base, e); + } + mulScalar(base, e) { + return mulScalar(this, base, e); + } + affine(p) { + const F = this.F; + if (this.isZero(p)) return this.zero; + else if (F.eq(p[2], F.one)) return p; + else { + const Z_inv = F.inv(p[2]); + const Z2_inv = F.square(Z_inv); + const Z3_inv = F.mul(Z2_inv, Z_inv); + const res = new Array(3); + res[0] = F.mul(p[0], Z2_inv); + res[1] = F.mul(p[1], Z3_inv); + res[2] = F.one; + return res; + } + } + multiAffine(arr) { + const keys = Object.keys(arr); + const F = this.F; + const accMul = new Array(keys.length + 1); + accMul[0] = F.one; + for (let i = 0; i < keys.length; i++) if (F.eq(arr[keys[i]][2], F.zero)) accMul[i + 1] = accMul[i]; + else accMul[i + 1] = F.mul(accMul[i], arr[keys[i]][2]); + accMul[keys.length] = F.inv(accMul[keys.length]); + for (let i = keys.length - 1; i >= 0; i--) if (F.eq(arr[keys[i]][2], F.zero)) { + accMul[i] = accMul[i + 1]; + arr[keys[i]] = this.zero; + } else { + const Z_inv = F.mul(accMul[i], accMul[i + 1]); + accMul[i] = F.mul(arr[keys[i]][2], accMul[i + 1]); + const Z2_inv = F.square(Z_inv); + const Z3_inv = F.mul(Z2_inv, Z_inv); + arr[keys[i]][0] = F.mul(arr[keys[i]][0], Z2_inv); + arr[keys[i]][1] = F.mul(arr[keys[i]][1], Z3_inv); + arr[keys[i]][2] = F.one; + } + } + eq(p1, p2) { + const F = this.F; + if (this.F.eq(p1[2], this.F.zero)) return this.F.eq(p2[2], this.F.zero); + if (this.F.eq(p2[2], this.F.zero)) return false; + const Z1Z1 = F.square(p1[2]); + const Z2Z2 = F.square(p2[2]); + const U1 = F.mul(p1[0], Z2Z2); + const U2 = F.mul(p2[0], Z1Z1); + const Z1_cubed = F.mul(p1[2], Z1Z1); + const Z2_cubed = F.mul(p2[2], Z2Z2); + const S1 = F.mul(p1[1], Z2_cubed); + const S2 = F.mul(p2[1], Z1_cubed); + return F.eq(U1, U2) && F.eq(S1, S2); + } + isZero(p) { + return this.F.isZero(p[2]); + } + toString(p) { + const cp = this.affine(p); + return `[ ${this.F.toString(cp[0])} , ${this.F.toString(cp[1])} ]`; + } + fromRng(rng) { + const F = this.F; + let P = []; + let greatest; + do { + P[0] = F.fromRng(rng); + greatest = rng.nextBool(); + const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); + P[1] = F.sqrt(x3b); + } while (P[1] == null || F.isZero[P]); + const s = isGreatest(F, P[1]); + if (greatest ^ s) P[1] = F.neg(P[1]); + P[2] = F.one; + /* c8 ignore start */ + if (this.cofactor) P = this.mulScalar(P, this.cofactor); + /* c8 ignore stop */ + P = this.affine(P); + return P; + } + toRprLE(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprLE(buff, o, p[0]); + this.F.toRprLE(buff, o + this.F.n8, p[1]); + } + toRprBE(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprBE(buff, o, p[0]); + this.F.toRprBE(buff, o + this.F.n8, p[1]); + } + toRprLEM(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprLEM(buff, o, p[0]); + this.F.toRprLEM(buff, o + this.F.n8, p[1]); + } + toRprLEJM(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprLEM(buff, o, p[0]); + this.F.toRprLEM(buff, o + this.F.n8, p[1]); + this.F.toRprLEM(buff, o + 2 * this.F.n8, p[2]); + } + toRprBEM(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprBEM(buff, o, p[0]); + this.F.toRprBEM(buff, o + this.F.n8, p[1]); + } + fromRprLE(buff, o) { + o = o || 0; + const x = this.F.fromRprLE(buff, o); + const y = this.F.fromRprLE(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprBE(buff, o) { + o = o || 0; + const x = this.F.fromRprBE(buff, o); + const y = this.F.fromRprBE(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprLEM(buff, o) { + o = o || 0; + const x = this.F.fromRprLEM(buff, o); + const y = this.F.fromRprLEM(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprLEJM(buff, o) { + o = o || 0; + const x = this.F.fromRprLEM(buff, o); + const y = this.F.fromRprLEM(buff, o + this.F.n8); + const z = this.F.fromRprLEM(buff, o + this.F.n8 * 2); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + z + ]; + } + fromRprBEM(buff, o) { + o = o || 0; + const x = this.F.fromRprBEM(buff, o); + const y = this.F.fromRprBEM(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprCompressed(buff, o) { + const F = this.F; + const v = new Uint8Array(buff.buffer, buff.byteOffset + o, F.n8); + if (v[0] & 64) return this.zero; + const P = new Array(3); + const greatest = (v[0] & 128) != 0; + v[0] = v[0] & 127; + P[0] = F.fromRprBE(buff, o); + if (greatest) v[0] = v[0] | 128; + const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); + P[1] = F.sqrt(x3b); + /* c8 ignore start */ + if (P[1] === null) throw new Error("Invalid Point!"); + if (greatest ^ isGreatest(F, P[1])) P[1] = F.neg(P[1]); + P[2] = F.one; + return P; + } + toRprCompressed(buff, o, p) { + p = this.affine(p); + const v = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8); + if (this.isZero(p)) { + v.fill(0); + v[0] = 64; + return; + } + this.F.toRprBE(buff, o, p[0]); + if (isGreatest(this.F, p[1])) v[0] = v[0] | 128; + } + fromRprUncompressed(buff, o) { + if (buff[0] & 64) return this.zero; + return this.fromRprBE(buff, o); + } + toRprUncompressed(buff, o, p) { + this.toRprBE(buff, o, p); + if (this.isZero(p)) buff[o] = buff[o] | 64; + } }; - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -// module.exports.bn128_wasm = require("./build/bn128_wasm.js"); -// module.exports.bls12381_wasm = require("./build/bls12381_wasm.js"); -// module.exports.mnt6753_wasm = require("./build/mnt6753_wasm.js"); - -var buildBn128$1 = build_bn128; -var buildBls12381$1 = build_bls12381; - -/* global BigInt */ - +//#endregion +//#region src/utils.js +var utils_exports = /* @__PURE__ */ __exportAll({ + array2buffer: () => array2buffer, + beBuff2int: () => beBuff2int, + beInt2Buff: () => beInt2Buff, + bitReverse: () => bitReverse, + buffReverseBits: () => buffReverseBits, + buffer2array: () => buffer2array, + leBuff2int: () => leBuff2int, + leInt2Buff: () => leInt2Buff, + log2: () => log2, + stringifyBigInts: () => stringifyBigInts, + stringifyFElements: () => stringifyFElements, + unstringifyBigInts: () => unstringifyBigInts, + unstringifyFElements: () => unstringifyFElements +}); function stringifyBigInts(o) { - if (typeof o == "bigint" || o.eq !== undefined) { - return o.toString(10); - } else if (o instanceof Uint8Array) { - return fromRprLE(o, 0); - } else if (Array.isArray(o)) { - return o.map(stringifyBigInts); - } else if (typeof o == "object") { - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = stringifyBigInts(o[k]); - }); - return res; - } else { - return o; - } + if (typeof o == "bigint" || o.eq !== void 0) return o.toString(10); + else if (o instanceof Uint8Array) return fromRprLE(o, 0); + else if (Array.isArray(o)) return o.map(stringifyBigInts); + else if (typeof o == "object") { + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = stringifyBigInts(o[k]); + }); + return res; + } else return o; } - function unstringifyBigInts(o) { - if (typeof o == "string" && /^[0-9]+$/.test(o)) { - return BigInt(o); - } else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) { - return BigInt(o); - } else if (Array.isArray(o)) { - return o.map(unstringifyBigInts); - } else if (typeof o == "object") { - if (o === null) return null; - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = unstringifyBigInts(o[k]); - }); - return res; - } else { - return o; - } + if (typeof o == "string" && /^[0-9]+$/.test(o)) return BigInt(o); + else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) return BigInt(o); + else if (Array.isArray(o)) return o.map(unstringifyBigInts); + else if (typeof o == "object") { + if (o === null) return null; + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = unstringifyBigInts(o[k]); + }); + return res; + } else return o; } - function beBuff2int(buff) { - let res = BigInt(0); - let i = buff.length; - let offset = 0; - const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); - while (i > 0) { - if (i >= 4) { - i -= 4; - res += BigInt(buffV.getUint32(i)) << BigInt(offset * 8); - offset += 4; - } else if (i >= 2) { - i -= 2; - res += BigInt(buffV.getUint16(i)) << BigInt(offset * 8); - offset += 2; - } else { - i -= 1; - res += BigInt(buffV.getUint8(i)) << BigInt(offset * 8); - offset += 1; - } - } - return res; + let res = BigInt(0); + let i = buff.length; + let offset = 0; + const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); + while (i > 0) if (i >= 4) { + i -= 4; + res += BigInt(buffV.getUint32(i)) << BigInt(offset * 8); + offset += 4; + } else if (i >= 2) { + i -= 2; + res += BigInt(buffV.getUint16(i)) << BigInt(offset * 8); + offset += 2; + } else { + i -= 1; + res += BigInt(buffV.getUint8(i)) << BigInt(offset * 8); + offset += 1; + } + return res; } - function beInt2Buff(n, len) { - let r = n; - const buff = new Uint8Array(len); - const buffV = new DataView(buff.buffer); - let o = len; - while (o > 0) { - if (o - 4 >= 0) { - o -= 4; - buffV.setUint32(o, Number(r & BigInt(0xffffffff))); - r = r >> BigInt(32); - } else if (o - 2 >= 0) { - o -= 2; - buffV.setUint16(o, Number(r & BigInt(0xffff))); - r = r >> BigInt(16); - } else { - o -= 1; - buffV.setUint8(o, Number(r & BigInt(0xff))); - r = r >> BigInt(8); - } - } - if (r) { - throw new Error("Number does not fit in this length"); - } - return buff; + let r = n; + const buff = new Uint8Array(len); + const buffV = new DataView(buff.buffer); + let o = len; + while (o > 0) if (o - 4 >= 0) { + o -= 4; + buffV.setUint32(o, Number(r & BigInt(4294967295))); + r = r >> BigInt(32); + } else if (o - 2 >= 0) { + o -= 2; + buffV.setUint16(o, Number(r & BigInt(65535))); + r = r >> BigInt(16); + } else { + o -= 1; + buffV.setUint8(o, Number(r & BigInt(255))); + r = r >> BigInt(8); + } + if (r) throw new Error("Number does not fit in this length"); + return buff; } - function leBuff2int(buff) { - let res = BigInt(0); - let i = 0; - const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); - while (i < buff.length) { - if (i + 4 <= buff.length) { - res += BigInt(buffV.getUint32(i, true)) << BigInt(i * 8); - i += 4; - } else if (i + 2 <= buff.length) { - res += BigInt(buffV.getUint16(i, true)) << BigInt(i * 8); - i += 2; - } else { - res += BigInt(buffV.getUint8(i, true)) << BigInt(i * 8); - i += 1; - } - } - return res; + let res = BigInt(0); + let i = 0; + const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); + while (i < buff.length) if (i + 4 <= buff.length) { + res += BigInt(buffV.getUint32(i, true)) << BigInt(i * 8); + i += 4; + } else if (i + 2 <= buff.length) { + res += BigInt(buffV.getUint16(i, true)) << BigInt(i * 8); + i += 2; + } else { + res += BigInt(buffV.getUint8(i, true)) << BigInt(i * 8); + i += 1; + } + return res; } - function leInt2Buff(n, len) { - let r = n; - if (typeof len === "undefined") { - len = Math.floor((bitLength$6(n) - 1) / 8) + 1; - if (len == 0) len = 1; - } - const buff = new Uint8Array(len); - const buffV = new DataView(buff.buffer); - let o = 0; - while (o < len) { - if (o + 4 <= len) { - buffV.setUint32(o, Number(r & BigInt(0xffffffff)), true); - o += 4; - r = r >> BigInt(32); - } else if (o + 2 <= len) { - buffV.setUint16(o, Number(r & BigInt(0xffff)), true); - o += 2; - r = r >> BigInt(16); - } else { - buffV.setUint8(o, Number(r & BigInt(0xff)), true); - o += 1; - r = r >> BigInt(8); - } - } - if (r) { - throw new Error("Number does not fit in this length"); - } - return buff; + let r = n; + if (typeof len === "undefined") { + len = Math.floor((bitLength(n) - 1) / 8) + 1; + if (len == 0) len = 1; + } + const buff = new Uint8Array(len); + const buffV = new DataView(buff.buffer); + let o = 0; + while (o < len) if (o + 4 <= len) { + buffV.setUint32(o, Number(r & BigInt(4294967295)), true); + o += 4; + r = r >> BigInt(32); + } else if (o + 2 <= len) { + buffV.setUint16(o, Number(r & BigInt(65535)), true); + o += 2; + r = r >> BigInt(16); + } else { + buffV.setUint8(o, Number(r & BigInt(255)), true); + o += 1; + r = r >> BigInt(8); + } + if (r) throw new Error("Number does not fit in this length"); + return buff; } - function stringifyFElements(F, o) { - if (typeof o == "bigint" || o.eq !== undefined) { - return o.toString(10); - } else if (o instanceof Uint8Array) { - return F.toString(F.e(o)); - } else if (Array.isArray(o)) { - return o.map(stringifyFElements.bind(this, F)); - } else if (typeof o == "object") { - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = stringifyFElements(F, o[k]); - }); - return res; - } else { - return o; - } + if (typeof o == "bigint" || o.eq !== void 0) return o.toString(10); + else if (o instanceof Uint8Array) return F.toString(F.e(o)); + else if (Array.isArray(o)) return o.map(stringifyFElements.bind(this, F)); + else if (typeof o == "object") { + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = stringifyFElements(F, o[k]); + }); + return res; + } else return o; } - function unstringifyFElements(F, o) { - if (typeof o == "string" && /^[0-9]+$/.test(o)) { - return F.e(o); - } else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) { - return F.e(o); - } else if (Array.isArray(o)) { - return o.map(unstringifyFElements.bind(this, F)); - } else if (typeof o == "object") { - if (o === null) return null; - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = unstringifyFElements(F, o[k]); - }); - return res; - } else { - return o; - } -} - -const _revTable = []; -for (let i = 0; i < 256; i++) { - _revTable[i] = _revSlow(i, 8); -} - + if (typeof o == "string" && /^[0-9]+$/.test(o)) return F.e(o); + else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) return F.e(o); + else if (Array.isArray(o)) return o.map(unstringifyFElements.bind(this, F)); + else if (typeof o == "object") { + if (o === null) return null; + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = unstringifyFElements(F, o[k]); + }); + return res; + } else return o; +} +var _revTable = []; +for (let i = 0; i < 256; i++) _revTable[i] = _revSlow(i, 8); function _revSlow(idx, bits) { - let res = 0; - let a = idx; - for (let i = 0; i < bits; i++) { - res <<= 1; - res = res | (a & 1); - a >>= 1; - } - return res; + let res = 0; + let a = idx; + for (let i = 0; i < bits; i++) { + res <<= 1; + res = res | a & 1; + a >>= 1; + } + return res; } - function bitReverse(idx, bits) { - return ( - (_revTable[idx >>> 24] | - (_revTable[(idx >>> 16) & 0xff] << 8) | - (_revTable[(idx >>> 8) & 0xff] << 16) | - (_revTable[idx & 0xff] << 24)) >>> - (32 - bits) - ); + return (_revTable[idx >>> 24] | _revTable[idx >>> 16 & 255] << 8 | _revTable[idx >>> 8 & 255] << 16 | _revTable[idx & 255] << 24) >>> 32 - bits; } - 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) - ); + return ((V & 4294901760) !== 0 ? (V &= 4294901760, 16) : 0) | ((V & 4278255360) !== 0 ? (V &= 4278255360, 8) : 0) | ((V & 4042322160) !== 0 ? (V &= 4042322160, 4) : 0) | ((V & 3435973836) !== 0 ? (V &= 3435973836, 2) : 0) | (V & 2863311530) !== 0; } - function buffReverseBits(buff, eSize) { - const n = buff.byteLength / eSize; - const bits = log2(n); - if (n != 1 << bits) { - throw new Error("Invalid number of pointers"); - } - for (let i = 0; i < n; i++) { - const r = bitReverse(i, bits); - if (i > r) { - const tmp = buff.slice(i * eSize, (i + 1) * eSize); - buff.set(buff.slice(r * eSize, (r + 1) * eSize), i * eSize); - buff.set(tmp, r * eSize); - } - } + const n = buff.byteLength / eSize; + const bits = log2(n); + if (n != 1 << bits) + /* c8 ignore start */ + throw new Error("Invalid number of pointers"); + /* c8 ignore stop */ + for (let i = 0; i < n; i++) { + const r = bitReverse(i, bits); + if (i > r) { + const tmp = buff.slice(i * eSize, (i + 1) * eSize); + buff.set(buff.slice(r * eSize, (r + 1) * eSize), i * eSize); + buff.set(tmp, r * eSize); + } + } } - function array2buffer(arr, sG) { - const buff = new Uint8Array(sG * arr.length); - - for (let i = 0; i < arr.length; i++) { - buff.set(arr[i], i * sG); - } - - return buff; + const buff = new Uint8Array(sG * arr.length); + for (let i = 0; i < arr.length; i++) buff.set(arr[i], i * sG); + return buff; } - function buffer2array(buff, sG) { - const n = buff.byteLength / sG; - const arr = new Array(n); - for (let i = 0; i < n; i++) { - arr[i] = buff.slice(i * sG, i * sG + sG); - } - return arr; -} - -var _utils = /*#__PURE__*/Object.freeze({ - __proto__: null, - array2buffer: array2buffer, - beBuff2int: beBuff2int, - beInt2Buff: beInt2Buff, - bitReverse: bitReverse, - buffReverseBits: buffReverseBits, - buffer2array: buffer2array, - leBuff2int: leBuff2int, - leInt2Buff: leInt2Buff, - log2: log2, - stringifyBigInts: stringifyBigInts, - stringifyFElements: stringifyFElements, - unstringifyBigInts: unstringifyBigInts, - unstringifyFElements: unstringifyFElements -}); - -const PAGE_SIZE = 1<<30; - -class BigBuffer { - - constructor(size) { - this.buffers = []; - this.byteLength = size; - for (let i=0; i0) { - // bytes to copy from this page - const l = (o+r > PAGE_SIZE) ? (PAGE_SIZE -o) : r; - const srcView = new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset+o, l); - if (l == len) return srcView.slice(); - if (!buff) { - if (len <= PAGE_SIZE) { - buff = new Uint8Array(len); - } else { - buff = new BigBuffer(len); - } - } - buff.set(srcView, len-r); - r = r-l; - p ++; - o = 0; - } - - return buff; - } - - set(buff, offset) { - if (offset === undefined) offset = 0; - - const len = buff.byteLength; - - if (len==0) return; - - const firstPage = Math.floor(offset / PAGE_SIZE); - const lastPage = Math.floor((offset+len-1) / PAGE_SIZE); - - if (firstPage == lastPage) { - if ((buff instanceof BigBuffer)&&(buff.buffers.length==1)) { - return this.buffers[firstPage].set(buff.buffers[0], offset % PAGE_SIZE); - } else { - return this.buffers[firstPage].set(buff, offset % PAGE_SIZE); - } - - } - - - let p = firstPage; - let o = offset % PAGE_SIZE; - let r = len; - while (r>0) { - const l = (o+r > PAGE_SIZE) ? (PAGE_SIZE -o) : r; - const srcView = buff.slice( len -r, len -r+l); - const dstView = new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset + o, l); - dstView.set(srcView); - r = r-l; - p ++; - o = 0; - } - - } -} - + const n = buff.byteLength / sG; + const arr = new Array(n); + for (let i = 0; i < n; i++) arr[i] = buff.slice(i * sG, i * sG + sG); + return arr; +} +//#endregion +//#region src/bigbuffer.js +var PAGE_SIZE = 1 << 30; +var BigBuffer = class BigBuffer { + constructor(size) { + this.buffers = []; + this.byteLength = size; + for (let i = 0; i < size; i += PAGE_SIZE) { + const n = Math.min(size - i, PAGE_SIZE); + this.buffers.push(new Uint8Array(n)); + } + } + slice(fr, to) { + if (to === void 0) to = this.byteLength; + if (fr === void 0) fr = 0; + const len = to - fr; + const firstPage = Math.floor(fr / PAGE_SIZE); + if (firstPage == Math.floor((fr + len - 1) / PAGE_SIZE) || len == 0) return this.buffers[firstPage].slice(fr % PAGE_SIZE, fr % PAGE_SIZE + len); + let buff; + let p = firstPage; + let o = fr % PAGE_SIZE; + let r = len; + while (r > 0) { + const l = o + r > PAGE_SIZE ? PAGE_SIZE - o : r; + const srcView = new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset + o, l); + if (l == len) return srcView.slice(); + if (!buff) if (len <= PAGE_SIZE) buff = new Uint8Array(len); + else buff = new BigBuffer(len); + buff.set(srcView, len - r); + r = r - l; + p++; + o = 0; + } + return buff; + } + set(buff, offset) { + if (offset === void 0) offset = 0; + const len = buff.byteLength; + if (len == 0) return; + const firstPage = Math.floor(offset / PAGE_SIZE); + if (firstPage == Math.floor((offset + len - 1) / PAGE_SIZE)) if (buff instanceof BigBuffer && buff.buffers.length == 1) + /* c8 ignore start */ + return this.buffers[firstPage].set(buff.buffers[0], offset % PAGE_SIZE); + else return this.buffers[firstPage].set(buff, offset % PAGE_SIZE); + let p = firstPage; + let o = offset % PAGE_SIZE; + let r = len; + while (r > 0) { + const l = o + r > PAGE_SIZE ? PAGE_SIZE - o : r; + const srcView = buff.slice(len - r, len - r + l); + new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset + o, l).set(srcView); + r = r - l; + p++; + o = 0; + } + } +}; +//#endregion +//#region src/engine_batchconvert.js function buildBatchConvert(tm, fnName, sIn, sOut) { - return async function batchConvert(buffIn) { - const nPoints = Math.floor(buffIn.byteLength / sIn); - if ( nPoints * sIn !== buffIn.byteLength) { - throw new Error("Invalid buffer size"); - } - const pointsPerChunk = Math.floor(nPoints/tm.concurrency); - const opPromises = []; - for (let i=0; i=0; i--) { - this.w[i] = this.square(this.w[i+1]); - } - - if (!this.eq(this.w[0], this.one)) { - throw new Error("Error calculating roots of unity"); - } - - this.batchToMontgomery = buildBatchConvert(tm, prefix + "_batchToMontgomery", this.n8, this.n8); - this.batchFromMontgomery = buildBatchConvert(tm, prefix + "_batchFromMontgomery", this.n8, this.n8); - } - - - op2(opName, a, b) { - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - op2Bool(opName, a, b) { - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); - } - - op1(opName, a) { - this.tm.setBuff(this.pOp1, a); - this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - op1Bool(opName, a) { - this.tm.setBuff(this.pOp1, a); - return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); - } - - add(a,b) { - return this.op2("_add", a, b); - } - - - eq(a,b) { - return this.op2Bool("_eq", a, b); - } - - isZero(a) { - return this.op1Bool("_isZero", a); - } - - sub(a,b) { - return this.op2("_sub", a, b); - } - - neg(a) { - return this.op1("_neg", a); - } - - inv(a) { - return this.op1("_inverse", a); - } - - toMontgomery(a) { - return this.op1("_toMontgomery", a); - } - - fromMontgomery(a) { - return this.op1("_fromMontgomery", a); - } - - mul(a,b) { - return this.op2("_mul", a, b); - } - - div(a, b) { - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); - this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - square(a) { - return this.op1("_square", a); - } - - isSquare(a) { - return this.op1Bool("_isSquare", a); - } - - sqrt(a) { - return this.op1("_sqrt", a); - } - - exp(a, b) { - if (!(b instanceof Uint8Array)) { - b = toLEBuff(e(b)); - } - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - isNegative(a) { - return this.op1Bool("_isNegative", a); - } - - e(a, b) { - if (a instanceof Uint8Array) return a; - let ra = e(a, b); - if (isNegative$4(ra)) { - ra = neg(ra); - if (gt(ra, this.p)) { - ra = mod(ra, this.p); - } - ra = sub(this.p, ra); - } else { - if (gt(ra, this.p)) { - ra = mod(ra, this.p); - } - } - const buff = leInt2Buff(ra, this.n8); - return this.toMontgomery(buff); - } - - toString(a, radix) { - const an = this.fromMontgomery(a); - const s = fromRprLE(an, 0); - return toString(s, radix); - } - - fromRng(rng) { - let v; - const buff = new Uint8Array(this.n8); - do { - v = zero; - for (let i=0; i= 0; i--) this.w[i] = this.square(this.w[i + 1]); + /* c8 ignore start */ + if (!this.eq(this.w[0], this.one)) throw new Error("Error calculating roots of unity"); + /* c8 ignore stop */ + this.batchToMontgomery = buildBatchConvert(tm, prefix + "_batchToMontgomery", this.n8, this.n8); + this.batchFromMontgomery = buildBatchConvert(tm, prefix + "_batchFromMontgomery", this.n8, this.n8); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op2Bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + add(a, b) { + return this.op2("_add", a, b); + } + eq(a, b) { + return this.op2Bool("_eq", a, b); + } + isZero(a) { + return this.op1Bool("_isZero", a); + } + sub(a, b) { + return this.op2("_sub", a, b); + } + neg(a) { + return this.op1("_neg", a); + } + inv(a) { + return this.op1("_inverse", a); + } + toMontgomery(a) { + return this.op1("_toMontgomery", a); + } + fromMontgomery(a) { + return this.op1("_fromMontgomery", a); + } + mul(a, b) { + return this.op2("_mul", a, b); + } + div(a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); + this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + square(a) { + return this.op1("_square", a); + } + isSquare(a) { + return this.op1Bool("_isSquare", a); + } + sqrt(a) { + return this.op1("_sqrt", a); + } + exp(a, b) { + if (!(b instanceof Uint8Array)) b = toLEBuff(e(b)); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + isNegative(a) { + return this.op1Bool("_isNegative", a); + } + e(a, b) { + if (a instanceof Uint8Array) return a; + let ra = e(a, b); + if (isNegative(ra)) { + ra = neg(ra); + if (gt(ra, this.p)) ra = mod(ra, this.p); + ra = sub(this.p, ra); + } else if (gt(ra, this.p)) ra = mod(ra, this.p); + const buff = leInt2Buff(ra, this.n8); + return this.toMontgomery(buff); + } + toString(a, radix) { + return toString(fromRprLE(this.fromMontgomery(a), 0), radix); + } + fromRng(rng) { + let v; + const buff = new Uint8Array(this.n8); + do { + v = zero; + for (let i = 0; i < this.n64; i++) v = add(v, shiftLeft(rng.nextU64(), 64 * i)); + v = band(v, this.mask); + } while (geq(v, this.p)); + toRprLE(buff, 0, v, this.n8); + return buff; + } + random() { + return this.fromRng(getThreadRng()); + } + toObject(a) { + return fromRprLE(this.fromMontgomery(a), 0); + } + fromObject(a) { + const buff = new Uint8Array(this.n8); + toRprLE(buff, 0, a, this.n8); + return this.toMontgomery(buff); + } + toRprLE(buff, offset, a) { + buff.set(this.fromMontgomery(a), offset); + } + toRprBE(buff, offset, a) { + const buff2 = this.fromMontgomery(a); + for (let i = 0; i < this.n8 / 2; i++) { + const aux = buff2[i]; + buff2[i] = buff2[this.n8 - 1 - i]; + buff2[this.n8 - 1 - i] = aux; + } + buff.set(buff2, offset); + } + fromRprLE(buff, offset) { + offset = offset || 0; + const res = buff.slice(offset, offset + this.n8); + return this.toMontgomery(res); + } + async batchInverse(buffIn) { + let returnArray = false; + const sIn = this.n8; + const sOut = this.n8; + if (Array.isArray(buffIn)) { + buffIn = array2buffer(buffIn, sIn); + returnArray = true; + } else buffIn = buffIn.slice(0, buffIn.byteLength); + const nPoints = Math.floor(buffIn.byteLength / sIn); + if (nPoints * sIn !== buffIn.byteLength) + /* c8 ignore start */ + throw new Error("Invalid buffer size"); + /* c8 ignore stop */ + const pointsPerChunk = Math.floor(nPoints / this.tm.concurrency); + const opPromises = []; + for (let i = 0; i < this.tm.concurrency; i++) { + let n; + if (i < this.tm.concurrency - 1) n = pointsPerChunk; + else n = nPoints - i * pointsPerChunk; + if (n == 0) continue; + const buffChunk = buffIn.slice(i * pointsPerChunk * sIn, i * pointsPerChunk * sIn + n * sIn); + const task = [ + { + cmd: "ALLOCSET", + var: 0, + buff: buffChunk + }, + { + cmd: "ALLOC", + var: 1, + len: sOut * n + }, + { + cmd: "CALL", + fnName: this.prefix + "_batchInverse", + params: [ + { var: 0 }, + { val: sIn }, + { val: n }, + { var: 1 }, + { val: sOut } + ] + }, + { + cmd: "GET", + out: 0, + var: 1, + len: sOut * n + } + ]; + opPromises.push(this.tm.queueAction(task, [buffChunk.buffer])); + } + const result = await Promise.all(opPromises); + let fullBuffOut; + if (buffIn instanceof BigBuffer) + /* c8 ignore start */ + fullBuffOut = new BigBuffer(nPoints * sOut); + else fullBuffOut = new Uint8Array(nPoints * sOut); + let p = 0; + for (let i = 0; i < result.length; i++) { + fullBuffOut.set(result[i][0], p); + p += result[i][0].byteLength; + } + if (returnArray) return buffer2array(fullBuffOut, sOut); + else return fullBuffOut; + } +}; +//#endregion +//#region src/wasm_field2.js +var WasmField2 = class { + constructor(tm, prefix, F) { + this.tm = tm; + this.prefix = prefix; + this.F = F; + this.type = "F2"; + this.m = F.m * 2; + this.n8 = this.F.n8 * 2; + this.n32 = this.F.n32 * 2; + this.n64 = this.F.n64 * 2; + this.pOp1 = tm.alloc(F.n8 * 2); + this.pOp2 = tm.alloc(F.n8 * 2); + this.pOp3 = tm.alloc(F.n8 * 2); + this.tm.instance.exports[prefix + "_zero"](this.pOp1); + this.zero = tm.getBuff(this.pOp1, this.n8); + this.tm.instance.exports[prefix + "_one"](this.pOp1); + this.one = tm.getBuff(this.pOp1, this.n8); + this.negone = this.neg(this.one); + this.two = this.add(this.one, this.one); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op2Bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + add(a, b) { + return this.op2("_add", a, b); + } + eq(a, b) { + return this.op2Bool("_eq", a, b); + } + isZero(a) { + return this.op1Bool("_isZero", a); + } + sub(a, b) { + return this.op2("_sub", a, b); + } + neg(a) { + return this.op1("_neg", a); + } + inv(a) { + return this.op1("_inverse", a); + } + isNegative(a) { + return this.op1Bool("_isNegative", a); + } + toMontgomery(a) { + return this.op1("_toMontgomery", a); + } + fromMontgomery(a) { + return this.op1("_fromMontgomery", a); + } + mul(a, b) { + return this.op2("_mul", a, b); + } + mul1(a, b) { + return this.op2("_mul1", a, b); + } + div(a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); + this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + square(a) { + return this.op1("_square", a); + } + isSquare(a) { + return this.op1Bool("_isSquare", a); + } + sqrt(a) { + return this.op1("_sqrt", a); + } + exp(a, b) { + if (!(b instanceof Uint8Array)) b = toLEBuff(e(b)); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + e(a, b) { + if (a instanceof Uint8Array) return a; + if (Array.isArray(a) && a.length == 2) { + const c1 = this.F.e(a[0], b); + const c2 = this.F.e(a[1], b); + const res = new Uint8Array(this.F.n8 * 2); + res.set(c1); + res.set(c2, this.F.n8); + return res; + } else throw new Error("invalid F2"); + } + toString(a, radix) { + return `[${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8), radix)}]`; + } + fromRng(rng) { + const c1 = this.F.fromRng(rng); + const c2 = this.F.fromRng(rng); + const res = new Uint8Array(this.F.n8 * 2); + res.set(c1); + res.set(c2, this.F.n8); + return res; + } + random() { + return this.fromRng(getThreadRng()); + } + toObject(a) { + return [this.F.toObject(a.slice(0, this.F.n8)), this.F.toObject(a.slice(this.F.n8, this.F.n8 * 2))]; + } + fromObject(a) { + const buff = new Uint8Array(this.F.n8 * 2); + const b1 = this.F.fromObject(a[0]); + const b2 = this.F.fromObject(a[1]); + buff.set(b1); + buff.set(b2, this.F.n8); + return buff; + } + c1(a) { + return a.slice(0, this.F.n8); + } + c2(a) { + return a.slice(this.F.n8); + } +}; +//#endregion +//#region src/wasm_field3.js +var WasmField3 = class { + constructor(tm, prefix, F) { + this.tm = tm; + this.prefix = prefix; + this.F = F; + this.type = "F3"; + this.m = F.m * 3; + this.n8 = this.F.n8 * 3; + this.n32 = this.F.n32 * 3; + this.n64 = this.F.n64 * 3; + this.pOp1 = tm.alloc(F.n8 * 3); + this.pOp2 = tm.alloc(F.n8 * 3); + this.pOp3 = tm.alloc(F.n8 * 3); + this.tm.instance.exports[prefix + "_zero"](this.pOp1); + this.zero = tm.getBuff(this.pOp1, this.n8); + this.tm.instance.exports[prefix + "_one"](this.pOp1); + this.one = tm.getBuff(this.pOp1, this.n8); + this.negone = this.neg(this.one); + this.two = this.add(this.one, this.one); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op2Bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + eq(a, b) { + return this.op2Bool("_eq", a, b); + } + isZero(a) { + return this.op1Bool("_isZero", a); + } + add(a, b) { + return this.op2("_add", a, b); + } + sub(a, b) { + return this.op2("_sub", a, b); + } + neg(a) { + return this.op1("_neg", a); + } + inv(a) { + return this.op1("_inverse", a); + } + isNegative(a) { + return this.op1Bool("_isNegative", a); + } + toMontgomery(a) { + return this.op1("_toMontgomery", a); + } + fromMontgomery(a) { + return this.op1("_fromMontgomery", a); + } + mul(a, b) { + return this.op2("_mul", a, b); + } + div(a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); + this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + square(a) { + return this.op1("_square", a); + } + /* c8 ignore start */ + isSquare(a) { + return this.op1Bool("_isSquare", a); + } + sqrt(a) { + return this.op1("_sqrt", a); + } + /* c8 ignore stop */ + exp(a, b) { + if (!(b instanceof Uint8Array)) b = toLEBuff(e(b)); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + e(a, b) { + if (a instanceof Uint8Array) return a; + if (Array.isArray(a) && a.length == 3) { + const c1 = this.F.e(a[0], b); + const c2 = this.F.e(a[1], b); + const c3 = this.F.e(a[2], b); + const res = new Uint8Array(this.F.n8 * 3); + res.set(c1); + res.set(c2, this.F.n8); + res.set(c3, this.F.n8 * 2); + return res; + } else throw new Error("invalid F3"); + } + toString(a, radix) { + return `[${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8, this.F.n8 * 2), radix)}, ${this.F.toString(a.slice(this.F.n8 * 2), radix)}]`; + } + fromRng(rng) { + const c1 = this.F.fromRng(rng); + const c2 = this.F.fromRng(rng); + const c3 = this.F.fromRng(rng); + const res = new Uint8Array(this.F.n8 * 3); + res.set(c1); + res.set(c2, this.F.n8); + res.set(c3, this.F.n8 * 2); + return res; + } + random() { + return this.fromRng(getThreadRng()); + } + toObject(a) { + return [ + this.F.toObject(a.slice(0, this.F.n8)), + this.F.toObject(a.slice(this.F.n8, this.F.n8 * 2)), + this.F.toObject(a.slice(this.F.n8 * 2, this.F.n8 * 3)) + ]; + } + fromObject(a) { + const buff = new Uint8Array(this.F.n8 * 3); + const b1 = this.F.fromObject(a[0]); + const b2 = this.F.fromObject(a[1]); + const b3 = this.F.fromObject(a[2]); + buff.set(b1); + buff.set(b2, this.F.n8); + buff.set(b3, this.F.n8 * 2); + return buff; + } + c1(a) { + return a.slice(0, this.F.n8); + } + c2(a) { + return a.slice(this.F.n8, this.F.n8 * 2); + } + c3(a) { + return a.slice(this.F.n8 * 2); + } +}; +//#endregion +//#region src/wasm_curve.js +var WasmCurve = class { + constructor(tm, prefix, F, pGen, pGb, cofactor) { + this.tm = tm; + this.prefix = prefix; + this.F = F; + this.pOp1 = tm.alloc(F.n8 * 3); + this.pOp2 = tm.alloc(F.n8 * 3); + this.pOp3 = tm.alloc(F.n8 * 3); + this.tm.instance.exports[prefix + "_zero"](this.pOp1); + this.zero = this.tm.getBuff(this.pOp1, F.n8 * 3); + this.tm.instance.exports[prefix + "_zeroAffine"](this.pOp1); + this.zeroAffine = this.tm.getBuff(this.pOp1, F.n8 * 2); + this.one = this.tm.getBuff(pGen, F.n8 * 3); + this.g = this.one; + this.oneAffine = this.tm.getBuff(pGen, F.n8 * 2); + this.gAffine = this.oneAffine; + this.b = this.tm.getBuff(pGb, F.n8); + if (cofactor) this.cofactor = toLEBuff(cofactor); + this.negone = this.neg(this.one); + this.two = this.add(this.one, this.one); + this.batchLEMtoC = buildBatchConvert(tm, prefix + "_batchLEMtoC", F.n8 * 2, F.n8); + this.batchLEMtoU = buildBatchConvert(tm, prefix + "_batchLEMtoU", F.n8 * 2, F.n8 * 2); + this.batchCtoLEM = buildBatchConvert(tm, prefix + "_batchCtoLEM", F.n8, F.n8 * 2); + this.batchUtoLEM = buildBatchConvert(tm, prefix + "_batchUtoLEM", F.n8 * 2, F.n8 * 2); + this.batchToJacobian = buildBatchConvert(tm, prefix + "_batchToJacobian", F.n8 * 2, F.n8 * 3); + this.batchToAffine = buildBatchConvert(tm, prefix + "_batchToAffine", F.n8 * 3, F.n8 * 2); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + op2bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + op1Affine(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 2); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + add(a, b) { + if (a.byteLength == this.F.n8 * 3) if (b.byteLength == this.F.n8 * 3) return this.op2("_add", a, b); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_addMixed", a, b); + else throw new Error("invalid point size"); + else if (a.byteLength == this.F.n8 * 2) if (b.byteLength == this.F.n8 * 3) return this.op2("_addMixed", b, a); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_addAffine", a, b); + else throw new Error("invalid point size"); + else throw new Error("invalid point size"); + } + sub(a, b) { + if (a.byteLength == this.F.n8 * 3) if (b.byteLength == this.F.n8 * 3) return this.op2("_sub", a, b); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_subMixed", a, b); + else throw new Error("invalid point size"); + else if (a.byteLength == this.F.n8 * 2) if (b.byteLength == this.F.n8 * 3) return this.neg(this.op2("_subMixed", b, a)); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_subAffine", a, b); + else throw new Error("invalid point size"); + else throw new Error("invalid point size"); + } + neg(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1("_neg", a); + else if (a.byteLength == this.F.n8 * 2) return this.op1Affine("_negAffine", a); + else throw new Error("invalid point size"); + } + double(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1("_double", a); + else if (a.byteLength == this.F.n8 * 2) return this.op1("_doubleAffine", a); + else throw new Error("invalid point size"); + } + isZero(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1Bool("_isZero", a); + else if (a.byteLength == this.F.n8 * 2) return this.op1Bool("_isZeroAffine", a); + else throw new Error("invalid point size"); + } + timesScalar(a, s) { + if (!(s instanceof Uint8Array)) s = toLEBuff(e(s)); + let fnName; + if (a.byteLength == this.F.n8 * 3) fnName = this.prefix + "_timesScalar"; + else if (a.byteLength == this.F.n8 * 2) fnName = this.prefix + "_timesScalarAffine"; + else throw new Error("invalid point size"); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, s); + this.tm.instance.exports[fnName](this.pOp1, this.pOp2, s.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + timesFr(a, s) { + let fnName; + if (a.byteLength == this.F.n8 * 3) fnName = this.prefix + "_timesFr"; + else if (a.byteLength == this.F.n8 * 2) fnName = this.prefix + "_timesFrAffine"; + else throw new Error("invalid point size"); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, s); + this.tm.instance.exports[fnName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + eq(a, b) { + if (a.byteLength == this.F.n8 * 3) if (b.byteLength == this.F.n8 * 3) return this.op2bool("_eq", a, b); + else if (b.byteLength == this.F.n8 * 2) return this.op2bool("_eqMixed", a, b); + else throw new Error("invalid point size"); + else if (a.byteLength == this.F.n8 * 2) if (b.byteLength == this.F.n8 * 3) return this.op2bool("_eqMixed", b, a); + else if (b.byteLength == this.F.n8 * 2) return this.op2bool("_eqAffine", a, b); + else throw new Error("invalid point size"); + else throw new Error("invalid point size"); + } + toAffine(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1Affine("_toAffine", a); + else if (a.byteLength == this.F.n8 * 2) return a; + else throw new Error("invalid point size"); + } + toJacobian(a) { + if (a.byteLength == this.F.n8 * 3) return a; + else if (a.byteLength == this.F.n8 * 2) return this.op1("_toJacobian", a); + else throw new Error("invalid point size"); + } + toRprUncompressed(arr, offset, a) { + this.tm.setBuff(this.pOp1, a); + if (a.byteLength == this.F.n8 * 3) this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1); + else if (a.byteLength != this.F.n8 * 2) throw new Error("invalid point size"); + this.tm.instance.exports[this.prefix + "_LEMtoU"](this.pOp1, this.pOp1); + const res = this.tm.getBuff(this.pOp1, this.F.n8 * 2); + arr.set(res, offset); + } + fromRprUncompressed(arr, offset) { + const buff = arr.slice(offset, offset + this.F.n8 * 2); + this.tm.setBuff(this.pOp1, buff); + this.tm.instance.exports[this.prefix + "_UtoLEM"](this.pOp1, this.pOp1); + return this.tm.getBuff(this.pOp1, this.F.n8 * 2); + } + toRprCompressed(arr, offset, a) { + this.tm.setBuff(this.pOp1, a); + if (a.byteLength == this.F.n8 * 3) this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1); + else if (a.byteLength != this.F.n8 * 2) throw new Error("invalid point size"); + this.tm.instance.exports[this.prefix + "_LEMtoC"](this.pOp1, this.pOp1); + const res = this.tm.getBuff(this.pOp1, this.F.n8); + arr.set(res, offset); + } + fromRprCompressed(arr, offset) { + const buff = arr.slice(offset, offset + this.F.n8); + this.tm.setBuff(this.pOp1, buff); + this.tm.instance.exports[this.prefix + "_CtoLEM"](this.pOp1, this.pOp2); + return this.tm.getBuff(this.pOp2, this.F.n8 * 2); + } + toUncompressed(a) { + const buff = new Uint8Array(this.F.n8 * 2); + this.toRprUncompressed(buff, 0, a); + return buff; + } + toRprLEM(arr, offset, a) { + if (a.byteLength == this.F.n8 * 2) { + arr.set(a, offset); + return; + } else if (a.byteLength == this.F.n8 * 3) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1); + const res = this.tm.getBuff(this.pOp1, this.F.n8 * 2); + arr.set(res, offset); + } else throw new Error("invalid point size"); + } + fromRprLEM(arr, offset) { + offset = offset || 0; + return arr.slice(offset, offset + this.F.n8 * 2); + } + toString(a, radix) { + if (a.byteLength == this.F.n8 * 3) return `[ ${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8, this.F.n8 * 2), radix)}, ${this.F.toString(a.slice(this.F.n8 * 2), radix)} ]`; + else if (a.byteLength == this.F.n8 * 2) return `[ ${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8), radix)} ]`; + else throw new Error("invalid point size"); + } + isValid(a) { + if (this.isZero(a)) return true; + const F = this.F; + const aa = this.toAffine(a); + const x = aa.slice(0, this.F.n8); + const y = aa.slice(this.F.n8, this.F.n8 * 2); + const x3b = F.add(F.mul(F.square(x), x), this.b); + const y2 = F.square(y); + return F.eq(x3b, y2); + } + fromRng(rng) { + const F = this.F; + let P = []; + let greatest; + let x3b; + do { + P[0] = F.fromRng(rng); + greatest = rng.nextBool(); + x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); + } while (!F.isSquare(x3b)); + P[1] = F.sqrt(x3b); + const s = F.isNegative(P[1]); + if (greatest ^ s) P[1] = F.neg(P[1]); + let Pbuff = new Uint8Array(this.F.n8 * 2); + Pbuff.set(P[0]); + Pbuff.set(P[1], this.F.n8); + if (this.cofactor) Pbuff = this.timesScalar(Pbuff, this.cofactor); + return Pbuff; + } + toObject(a) { + if (this.isZero(a)) return [ + this.F.toObject(this.F.zero), + this.F.toObject(this.F.one), + this.F.toObject(this.F.zero) + ]; + const x = this.F.toObject(a.slice(0, this.F.n8)); + const y = this.F.toObject(a.slice(this.F.n8, this.F.n8 * 2)); + let z; + if (a.byteLength == this.F.n8 * 3) z = this.F.toObject(a.slice(this.F.n8 * 2, this.F.n8 * 3)); + else z = this.F.toObject(this.F.one); + return [ + x, + y, + z + ]; + } + fromObject(a) { + const x = this.F.fromObject(a[0]); + const y = this.F.fromObject(a[1]); + let z; + if (a.length == 3) z = this.F.fromObject(a[2]); + else z = this.F.one; + if (this.F.isZero(z, this.F.one)) return this.zeroAffine; + else if (this.F.eq(z, this.F.one)) { + const buff = new Uint8Array(this.F.n8 * 2); + buff.set(x); + buff.set(y, this.F.n8); + return buff; + } else { + const buff = new Uint8Array(this.F.n8 * 3); + buff.set(x); + buff.set(y, this.F.n8); + buff.set(z, this.F.n8 * 2); + return buff; + } + } + e(a) { + if (a instanceof Uint8Array) return a; + return this.fromObject(a); + } + x(a) { + return this.toAffine(a).slice(0, this.F.n8); + } + y(a) { + return this.toAffine(a).slice(this.F.n8); + } +}; +//#endregion +//#region src/threadman_thread.js function thread(self) { - const MAXMEM = 32767; - let instance; - let memory; - - if (self) { - self.onmessage = function(e) { - let data; - if (e.data) { - data = e.data; - } else { - data = e; - } - - if (data[0].cmd == "INIT") { - init(data[0]).then(function() { - self.postMessage(data.result); - }); - } else if (data[0].cmd == "TERMINATE") { - self.close(); - } else { - const res = runTask(data); - self.postMessage(res); - } - }; - } - - async function init(data) { - const code = new Uint8Array(data.code); - const wasmModule = await WebAssembly.compile(code); - memory = new WebAssembly.Memory({initial:data.init, maximum: MAXMEM}); - - instance = await WebAssembly.instantiate(wasmModule, { - env: { - "memory": memory - } - }); - } - - - - function alloc(length) { - const u32 = new Uint32Array(memory.buffer, 0, 1); - while (u32[0] & 3) u32[0]++; // Return always aligned pointers - const res = u32[0]; - u32[0] += length; - if (u32[0] + length > memory.buffer.byteLength) { - const currentPages = memory.buffer.byteLength / 0x10000; - let requiredPages = Math.floor((u32[0] + length) / 0x10000)+1; - if (requiredPages>MAXMEM) requiredPages=MAXMEM; - memory.grow(requiredPages-currentPages); - } - return res; - } - - function allocBuffer(buffer) { - const p = alloc(buffer.byteLength); - setBuffer(p, buffer); - return p; - } - - function getBuffer(pointer, length) { - const u8 = new Uint8Array(memory.buffer); - return new Uint8Array(u8.buffer, u8.byteOffset + pointer, length); - } - - function setBuffer(pointer, buffer) { - const u8 = new Uint8Array(memory.buffer); - u8.set(new Uint8Array(buffer), pointer); - } - - function runTask(task) { - if (task[0].cmd == "INIT") { - return init(task[0]); - } - const ctx = { - vars: [], - out: [] - }; - const u32a = new Uint32Array(memory.buffer, 0, 1); - const oldAlloc = u32a[0]; - for (let i=0; i. -*/ - -// const MEM_SIZE = 1000; // Memory size in 64K Pakes (512Mb) -const MEM_SIZE = 25; // Memory size in 64K Pakes (1600Kb) - -class Deferred { - constructor() { - this.promise = new Promise((resolve, reject)=> { - this.reject = reject; - this.resolve = resolve; - }); - } -} - -function sleep(ms) { - return new Promise(resolve => setTimeout(resolve, ms)); -} - -let workerSource; - -const threadStr = `(${"function thread(self) {\n const MAXMEM = 32767;\n let instance;\n let memory;\n\n if (self) {\n self.onmessage = function(e) {\n let data;\n if (e.data) {\n data = e.data;\n } else {\n data = e;\n }\n\n if (data[0].cmd == \"INIT\") {\n init(data[0]).then(function() {\n self.postMessage(data.result);\n });\n } else if (data[0].cmd == \"TERMINATE\") {\n self.close();\n } else {\n const res = runTask(data);\n self.postMessage(res);\n }\n };\n }\n\n async function init(data) {\n const code = new Uint8Array(data.code);\n const wasmModule = await WebAssembly.compile(code);\n memory = new WebAssembly.Memory({initial:data.init, maximum: MAXMEM});\n\n instance = await WebAssembly.instantiate(wasmModule, {\n env: {\n \"memory\": memory\n }\n });\n }\n\n\n\n function alloc(length) {\n const u32 = new Uint32Array(memory.buffer, 0, 1);\n while (u32[0] & 3) u32[0]++; // Return always aligned pointers\n const res = u32[0];\n u32[0] += length;\n if (u32[0] + length > memory.buffer.byteLength) {\n const currentPages = memory.buffer.byteLength / 0x10000;\n let requiredPages = Math.floor((u32[0] + length) / 0x10000)+1;\n if (requiredPages>MAXMEM) requiredPages=MAXMEM;\n memory.grow(requiredPages-currentPages);\n }\n return res;\n }\n\n function allocBuffer(buffer) {\n const p = alloc(buffer.byteLength);\n setBuffer(p, buffer);\n return p;\n }\n\n function getBuffer(pointer, length) {\n const u8 = new Uint8Array(memory.buffer);\n return new Uint8Array(u8.buffer, u8.byteOffset + pointer, length);\n }\n\n function setBuffer(pointer, buffer) {\n const u8 = new Uint8Array(memory.buffer);\n u8.set(new Uint8Array(buffer), pointer);\n }\n\n function runTask(task) {\n if (task[0].cmd == \"INIT\") {\n return init(task[0]);\n }\n const ctx = {\n vars: [],\n out: []\n };\n const u32a = new Uint32Array(memory.buffer, 0, 1);\n const oldAlloc = u32a[0];\n for (let i=0; i (await WebAssembly.instantiate(batchModule, { + env: { "memory": memory }, + curve: { + f_mul: ex[f + "_mul"], + f_square: ex[f + "_square"], + f_add: ex[f + "_add"], + f_sub: ex[f + "_sub"], + f_neg: ex[f + "_neg"], + f_inverse: ex[f + "_inverse"], + f_isZero: ex[f + "_isZero"], + f_conj: ex[conj], + g_add: ex[g + "_add"], + g_addMixed: ex[g + "_addMixed"], + g_double: ex[g + "_double"], + g_zero: ex[g + "_zero"], + g_isZero: ex[g + "_isZero"] + } + })).exports; + const n8f = data.n8f; + batchFns = {}; + if (ex.f1m_mul && ex.g1m_addMixed) { + const b = await mkBatch("f1m", "g1m", "f1m_copy"); + const fn = data.glv && b.multiexpAffineGLV ? b.multiexpAffineGLV : b.multiexpAffine; + batchFns["g1m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn(pB, pS, sS, n, pr, n8f); + batchFns["g1m_multiexpAffineBatchNoGlv"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f); + } + if (ex.f2m_mul && ex.g2m_addMixed) { + const b = await mkBatch("f2m", "g2m", "f2m_conjugate"); + const fn2 = data.glv && b.multiexpAffineGLS ? b.multiexpAffineGLS : b.multiexpAffine; + batchFns["g2m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn2(pB, pS, sS, n, pr, n8f * 2); + batchFns["g2m_multiexpAffineBatchNoGls"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f * 2); + } + } + if (data.terminationTimeout) + /* c8 ignore start */ + terminationTimeout = data.terminationTimeout; + /* c8 ignore stop */ + } + function rev32(x) { + x = (x & 1431655765) << 1 | x >>> 1 & 1431655765; + x = (x & 858993459) << 2 | x >>> 2 & 858993459; + x = (x & 252645135) << 4 | x >>> 4 & 252645135; + x = (x & 16711935) << 8 | x >>> 8 & 16711935; + x = x << 16 | x >>> 16; + return x >>> 0; + } + function reverseInPlace(u8, sIn, bits) { + const n = u8.byteLength / sIn; + const shift = 32 - bits; + if ((sIn & 3) === 0 && (u8.byteOffset & 3) === 0) { + const lanes = sIn >>> 2; + const u32 = new Uint32Array(u8.buffer, u8.byteOffset, u8.byteLength >>> 2); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + let a = i * lanes; + let b = ri * lanes; + for (let l = 0; l < lanes; l++) { + const t = u32[a + l]; + u32[a + l] = u32[b + l]; + u32[b + l] = t; + } + } + } + } else { + /* c8 ignore start */ + const tmp = new Uint8Array(sIn); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + const ao = i * sIn; + const bo = ri * sIn; + tmp.set(u8.subarray(ao, ao + sIn)); + u8.copyWithin(ao, bo, bo + sIn); + u8.set(tmp, bo); + } + } + } + /* c8 ignore stop */ + } + function alloc(length) { + const u32 = new Uint32Array(memory.buffer, 0, 1); + while (u32[0] & 3) u32[0]++; + const res = u32[0]; + u32[0] += length; + if (u32[0] + length > memory.buffer.byteLength) { + /* c8 ignore start */ + const currentPages = memory.buffer.byteLength / 65536; + let requiredPages = Math.floor((u32[0] + length) / 65536) + 1; + if (requiredPages > MAXMEM) requiredPages = MAXMEM; + memory.grow(requiredPages - currentPages); + } + /* c8 ignore stop */ + return res; + } + function allocBuffer(buffer) { + const p = alloc(buffer.byteLength); + setBuffer(p, buffer); + return p; + } + function getBuffer(pointer, length) { + return new Uint8Array(memory.buffer, pointer, length); + } + function setBuffer(pointer, buffer) { + new Uint8Array(memory.buffer).set(new Uint8Array(buffer), pointer); + } + function runTask(task) { + clearTimeout(terminationTimer); + if (task[0].cmd === "INIT") return init(task[0]); + const ctx = { + vars: [], + out: [] + }; + const oldAlloc = new Uint32Array(memory.buffer, 0, 1)[0]; + for (let i = 0; i < task.length; i++) switch (task[i].cmd) { + case "REVERSE": { + const t = task[i]; + reverseInPlace(t.src, t.sIn, t.bits); + ctx.out[0] = t.src; + break; + } + case "ALLOCSET": + ctx.vars[task[i].var] = allocBuffer(task[i].buff); + break; + case "ALLOC": + ctx.vars[task[i].var] = alloc(task[i].len); + break; + case "SET": + setBuffer(ctx.vars[task[i].var], task[i].buff); + break; + case "CALL": { + const params = []; + for (let j = 0; j < task[i].params.length; j++) { + const p = task[i].params[j]; + if (typeof p.var !== "undefined") params.push(ctx.vars[p.var] + (p.offset || 0)); + else if (typeof p.val != "undefined") params.push(p.val); + } + { + const fname = task[i].fnName; + let fn = batchFns ? batchFns[fname] : void 0; + if (!fn) { + fn = instance.exports[fname]; + if (!fn) { + /* c8 ignore start */ + const base = fname.replace(/Batch(NoGls|NoGlv)?$/, ""); + fn = instance.exports[base]; + } + } + fn(...params); + } + break; + } + case "GET": + ctx.out[task[i].out] = getBuffer(ctx.vars[task[i].var], task[i].len).slice(); + break; + default: + /* c8 ignore start */ + throw new Error("Invalid cmd"); + } + const u32b = new Uint32Array(memory.buffer, 0, 1); + u32b[0] = oldAlloc; + return ctx.out; + } + function scheduleTermination() { + /* c8 ignore start */ + clearTimeout(terminationTimer); + if (terminationTimeout > 0) terminationTimer = setTimeout(() => { + if (self) self.postMessage({ status: "want_to_terminate" }); + }, terminationTimeout); + } + function terminate() { + clearTimeout(terminationTimer); + if (self) { + self.postMessage({ status: "terminated" }); + self.close(); + } + } + /* c8 ignore stop */ + return runTask; +} +//#endregion +//#region src/threadman.js +var MEM_SIZE = 25; +var MAX_CONSECUTIVE_BOOT_FAILURES = 8; +var isNode = typeof process !== "undefined" && process.versions != null && process.versions.node != null; +var Deferred = class { + constructor() { + this.promise = new Promise((resolve, reject) => { + this.reject = reject; + this.resolve = resolve; + }); + } +}; +function unrefWorker(worker) { + /* c8 ignore next */ + if (typeof worker.unref === "function") { + worker.unref(); + return; + } + for (const sym of Object.getOwnPropertySymbols(worker)) { + const native = worker[sym]; + if (native && typeof native.unref === "function") { + native.unref(); + return; + } + } +} +var WorkerSlot = class { + constructor(worker) { + this.worker = worker; + this.initialized = false; + this.initializing = false; + this.working = false; + this.pendingDeferred = null; + this.onMsg = null; + this.onError = null; + } +}; +var workerSource; +function getWorkerSource() { + if (workerSource !== void 0) return workerSource; + const threadStr = `(function thread(self) { + const MAXMEM = 32767; + let instance; + let memory; + let batchFns = null; + let terminationTimeout = 1500; + let terminationTimer; + /* c8 ignore start */ + if (self) self.onmessage = function(e) { + let data; + if (e.data) data = e.data; + else data = e; + try { + if (data[0].cmd === "INIT") { + init(data[0]).then(function() { + self.postMessage({ status: "initialized" }); + scheduleTermination(); + }, function(err) { + self.postMessage({ error: err.message }); + }); + return; + } else if (data[0].cmd === "TERMINATE") terminate(); + else { + let terminateAfterTask = false; + if (data[data.length - 1].cmd === "TERMINATE") { + terminateAfterTask = true; + data.pop(); + } + const res = runTask(data); + let transfers = []; + for (let i = 0; i < res.length; i++) if (res[i] instanceof Uint8Array) transfers.push(res[i].buffer); + self.postMessage(res, transfers); + if (terminateAfterTask) terminate(); + } + } catch (err) { + self.postMessage({ error: err.message }); + } + scheduleTermination(); + }; + /* c8 ignore stop */ + async function init(data) { + let wasmModule; + if (data.code instanceof WebAssembly.Module) + /* c8 ignore start */ + wasmModule = data.code; + else { + const code = new Uint8Array(data.code); + wasmModule = await WebAssembly.compile(code); + } + memory = new WebAssembly.Memory({ + initial: data.init, + maximum: MAXMEM + }); + instance = await WebAssembly.instantiate(wasmModule, { env: { "memory": memory } }); + if (data.batchCode) { + let batchModule; + if (data.batchCode instanceof WebAssembly.Module) + /* c8 ignore start */ + batchModule = data.batchCode; + else batchModule = await WebAssembly.compile(new Uint8Array(data.batchCode)); + const ex = instance.exports; + const mkBatch = async (f, g, conj) => (await WebAssembly.instantiate(batchModule, { + env: { "memory": memory }, + curve: { + f_mul: ex[f + "_mul"], + f_square: ex[f + "_square"], + f_add: ex[f + "_add"], + f_sub: ex[f + "_sub"], + f_neg: ex[f + "_neg"], + f_inverse: ex[f + "_inverse"], + f_isZero: ex[f + "_isZero"], + f_conj: ex[conj], + g_add: ex[g + "_add"], + g_addMixed: ex[g + "_addMixed"], + g_double: ex[g + "_double"], + g_zero: ex[g + "_zero"], + g_isZero: ex[g + "_isZero"] + } + })).exports; + const n8f = data.n8f; + batchFns = {}; + if (ex.f1m_mul && ex.g1m_addMixed) { + const b = await mkBatch("f1m", "g1m", "f1m_copy"); + const fn = data.glv && b.multiexpAffineGLV ? b.multiexpAffineGLV : b.multiexpAffine; + batchFns["g1m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn(pB, pS, sS, n, pr, n8f); + batchFns["g1m_multiexpAffineBatchNoGlv"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f); + } + if (ex.f2m_mul && ex.g2m_addMixed) { + const b = await mkBatch("f2m", "g2m", "f2m_conjugate"); + const fn2 = data.glv && b.multiexpAffineGLS ? b.multiexpAffineGLS : b.multiexpAffine; + batchFns["g2m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn2(pB, pS, sS, n, pr, n8f * 2); + batchFns["g2m_multiexpAffineBatchNoGls"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f * 2); + } + } + if (data.terminationTimeout) + /* c8 ignore start */ + terminationTimeout = data.terminationTimeout; + /* c8 ignore stop */ + } + function rev32(x) { + x = (x & 1431655765) << 1 | x >>> 1 & 1431655765; + x = (x & 858993459) << 2 | x >>> 2 & 858993459; + x = (x & 252645135) << 4 | x >>> 4 & 252645135; + x = (x & 16711935) << 8 | x >>> 8 & 16711935; + x = x << 16 | x >>> 16; + return x >>> 0; + } + function reverseInPlace(u8, sIn, bits) { + const n = u8.byteLength / sIn; + const shift = 32 - bits; + if ((sIn & 3) === 0 && (u8.byteOffset & 3) === 0) { + const lanes = sIn >>> 2; + const u32 = new Uint32Array(u8.buffer, u8.byteOffset, u8.byteLength >>> 2); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + let a = i * lanes; + let b = ri * lanes; + for (let l = 0; l < lanes; l++) { + const t = u32[a + l]; + u32[a + l] = u32[b + l]; + u32[b + l] = t; + } + } + } + } else { + /* c8 ignore start */ + const tmp = new Uint8Array(sIn); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + const ao = i * sIn; + const bo = ri * sIn; + tmp.set(u8.subarray(ao, ao + sIn)); + u8.copyWithin(ao, bo, bo + sIn); + u8.set(tmp, bo); + } + } + } + /* c8 ignore stop */ + } + function alloc(length) { + const u32 = new Uint32Array(memory.buffer, 0, 1); + while (u32[0] & 3) u32[0]++; + const res = u32[0]; + u32[0] += length; + if (u32[0] + length > memory.buffer.byteLength) { + /* c8 ignore start */ + const currentPages = memory.buffer.byteLength / 65536; + let requiredPages = Math.floor((u32[0] + length) / 65536) + 1; + if (requiredPages > MAXMEM) requiredPages = MAXMEM; + memory.grow(requiredPages - currentPages); + } + /* c8 ignore stop */ + return res; + } + function allocBuffer(buffer) { + const p = alloc(buffer.byteLength); + setBuffer(p, buffer); + return p; + } + function getBuffer(pointer, length) { + return new Uint8Array(memory.buffer, pointer, length); + } + function setBuffer(pointer, buffer) { + new Uint8Array(memory.buffer).set(new Uint8Array(buffer), pointer); + } + function runTask(task) { + clearTimeout(terminationTimer); + if (task[0].cmd === "INIT") return init(task[0]); + const ctx = { + vars: [], + out: [] + }; + const oldAlloc = new Uint32Array(memory.buffer, 0, 1)[0]; + for (let i = 0; i < task.length; i++) switch (task[i].cmd) { + case "REVERSE": { + const t = task[i]; + reverseInPlace(t.src, t.sIn, t.bits); + ctx.out[0] = t.src; + break; + } + case "ALLOCSET": + ctx.vars[task[i].var] = allocBuffer(task[i].buff); + break; + case "ALLOC": + ctx.vars[task[i].var] = alloc(task[i].len); + break; + case "SET": + setBuffer(ctx.vars[task[i].var], task[i].buff); + break; + case "CALL": { + const params = []; + for (let j = 0; j < task[i].params.length; j++) { + const p = task[i].params[j]; + if (typeof p.var !== "undefined") params.push(ctx.vars[p.var] + (p.offset || 0)); + else if (typeof p.val != "undefined") params.push(p.val); + } + { + const fname = task[i].fnName; + let fn = batchFns ? batchFns[fname] : void 0; + if (!fn) { + fn = instance.exports[fname]; + if (!fn) { + /* c8 ignore start */ + const base = fname.replace(/Batch(NoGls|NoGlv)?\$/, ""); + fn = instance.exports[base]; + } + } + fn(...params); + } + break; + } + case "GET": + ctx.out[task[i].out] = getBuffer(ctx.vars[task[i].var], task[i].len).slice(); + break; + default: + /* c8 ignore start */ + throw new Error("Invalid cmd"); + } + const u32b = new Uint32Array(memory.buffer, 0, 1); + u32b[0] = oldAlloc; + return ctx.out; + } + function scheduleTermination() { + /* c8 ignore start */ + clearTimeout(terminationTimer); + if (terminationTimeout > 0) terminationTimer = setTimeout(() => { + if (self) self.postMessage({ status: "want_to_terminate" }); + }, terminationTimeout); + } + function terminate() { + clearTimeout(terminationTimer); + if (self) { + self.postMessage({ status: "terminated" }); + self.close(); + } + } + /* c8 ignore stop */ + return runTask; +})(self)`; + if (isNode) workerSource = "data:application/javascript;base64," + Buffer.from(threadStr).toString("base64"); + else if (globalThis?.Blob && globalThis.URL && globalThis.URL.createObjectURL) { + /* c8 ignore start */ + const threadBytes = new TextEncoder().encode(threadStr); + const workerBlob = new Blob([threadBytes], { type: "application/javascript" }); + workerSource = URL.createObjectURL(workerBlob); + } else workerSource = "data:application/javascript;base64," + globalThis.btoa(threadStr); + /* c8 ignore stop */ + return workerSource; } - - - async function buildThreadManager(wasm, singleThread) { - const tm = new ThreadManager(); - - tm.memory = new WebAssembly.Memory({initial:MEM_SIZE}); - tm.u8 = new Uint8Array(tm.memory.buffer); - tm.u32 = new Uint32Array(tm.memory.buffer); - - const wasmModule = await WebAssembly.compile(wasm.code); - - tm.instance = await WebAssembly.instantiate(wasmModule, { - env: { - "memory": tm.memory - } - }); - - if(!globalThis?.Worker) { - singleThread = true; - } - - tm.singleThread = singleThread; - tm.initalPFree = tm.u32[0]; // Save the Pointer to free space. - tm.pq = wasm.pq; - tm.pr = wasm.pr; - tm.pG1gen = wasm.pG1gen; - tm.pG1zero = wasm.pG1zero; - tm.pG2gen = wasm.pG2gen; - tm.pG2zero = wasm.pG2zero; - tm.pOneT = wasm.pOneT; - - // tm.pTmp0 = tm.alloc(curve.G2.F.n8*3); - // tm.pTmp1 = tm.alloc(curve.G2.F.n8*3); - - if (singleThread) { - tm.code = wasm.code; - tm.taskManager = thread(); - await tm.taskManager([{ - cmd: "INIT", - init: MEM_SIZE, - code: tm.code.slice() - }]); - tm.concurrency = 1; - } else { - tm.workers = []; - tm.pendingDeferreds = []; - tm.working = []; - - let concurrency = 2; - { - if (typeof navigator === "object" && navigator.hardwareConcurrency) { - concurrency = navigator.hardwareConcurrency; - } - } - - if(concurrency == 0){ - concurrency = 2; - } - - // Limit to 64 threads for memory reasons. - if (concurrency>64) concurrency=64; - tm.concurrency = concurrency; - - for (let i = 0; i 0); i++) { - if (this.working[i] == false) { - const work = this.actionQueue.shift(); - this.postAction(i, work.data, work.transfers, work.deferred); - } - } - } - - queueAction(actionData, transfers) { - const d = new Deferred(); - - if (this.singleThread) { - const res = this.taskManager(actionData); - d.resolve(res); - } else { - this.actionQueue.push({ - data: actionData, - transfers: transfers, - deferred: d - }); - this.processWorks(); - } - return d.promise; - } - - resetMemory() { - this.u32[0] = this.initalPFree; - } - - allocBuff(buff) { - const pointer = this.alloc(buff.byteLength); - this.setBuff(pointer, buff); - return pointer; - } - - getBuff(pointer, length) { - return this.u8.slice(pointer, pointer+ length); - } - - setBuff(pointer, buffer) { - this.u8.set(new Uint8Array(buffer), pointer); - } - - alloc(length) { - while (this.u32[0] & 3) this.u32[0]++; // Return always aligned pointers - const res = this.u32[0]; - this.u32[0] += length; - return res; - } - - async terminate() { - for (let i=0; i 64) concurrency = 64; + tm.concurrency = concurrency; + } + return tm; +} +var ThreadManager = class { + constructor() { + this.actionQueue = []; + this.oldPFree = 0; + this.bootFailures = 0; + this.bootBroken = null; + } + _failQueueIfUnservable(err) { + const anyAlive = this.pool.some((s) => s); + const anyInitialized = this.pool.some((s) => s && s.initialized); + if (!anyAlive || this.bootBroken && !anyInitialized) { + const cause = this.bootBroken || err; + const queued = this.actionQueue.splice(0, this.actionQueue.length); + for (const work of queued) work.deferred.reject(/* @__PURE__ */ new Error("Worker initialization failed: " + cause.message)); + } + } + _makeOnMsg(slotIndex, slot) { + const tm = this; + return async function(e) { + const data = e && e.data ? e.data : e; + if (tm.pool[slotIndex] !== slot) { + /* c8 ignore start */ + if (data.status === "terminated") { + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + return; + } + if (!data.status && slot.working) { + slot.working = false; + if (data.error) slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Worker error: " + data.error)); + else slot.pendingDeferred.resolve(data); + } + await tm.processWorks(); + return; + } + /* c8 ignore stop */ + if (data.error) { + slot.working = false; + slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Worker error: " + data.error)); + if (slot.initializing) { + slot.initializing = false; + tm.pool[slotIndex] = null; + return; + } + await tm.processWorks(); + return; + } + if (data.status) { + if (data.status === "initialized") { + slot.initializing = false; + slot.initialized = true; + } else if (data.status === "want_to_terminate") { + /* c8 ignore start */ + tm.pool[slotIndex] = null; + slot.worker.postMessage([{ cmd: "TERMINATE" }]); + try { + if (typeof slot.worker.terminate === "function") slot.worker.terminate(); + } catch (e) {} + unrefWorker(slot.worker); + await tm.processWorks(); + return; + } else if (data.status === "terminated") { + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + tm.pool[slotIndex] = null; + if (slot.working) { + /* c8 ignore start */ + slot.pendingDeferred.reject(/* @__PURE__ */ new Error(`Worker at slot ${slotIndex} terminated unexpectedly while processing task`)); + slot.working = false; + } + /* c8 ignore stop */ + return; + } + } + slot.working = false; + slot.pendingDeferred.resolve(data); + await tm.processWorks(); + }; + } + _makeOnError(slotIndex, slot) { + const tm = this; + return function(e) { + if (tm.pool[slotIndex] === slot) { + slot.working = false; + slot.initialized = false; + slot.initializing = false; + tm.pool[slotIndex] = null; + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + if (slot.pendingDeferred) slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Worker error: " + e.message)); + tm.processWorks().catch(() => {}); + } + }; + } + startWorker(slotIndex) { + const nativeWorker = new Worker(getWorkerSource()); + const slot = new WorkerSlot(nativeWorker); + this.pool[slotIndex] = slot; + slot.onMsg = this._makeOnMsg(slotIndex, slot); + slot.onError = this._makeOnError(slotIndex, slot); + nativeWorker.addEventListener("message", slot.onMsg); + nativeWorker.addEventListener("error", slot.onError); + slot.initializing = true; + const tm = this; + this.postAction(slotIndex, [{ + cmd: "INIT", + init: MEM_SIZE, + code: this.wasmModule, + batchCode: this.batchWasmModule, + n8f: this.n8f, + glv: this.glv + }]).then(() => { + slot.initialized = true; + tm.bootFailures = 0; + }, (err) => { + if (tm.pool[slotIndex] === slot) { + /* c8 ignore start */ + tm.pool[slotIndex] = null; + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + } + /* c8 ignore stop */ + slot.initializing = false; + slot.working = false; + tm.bootFailures++; + if (tm.bootFailures >= MAX_CONSECUTIVE_BOOT_FAILURES && !tm.bootBroken) tm.bootBroken = err; + tm._failQueueIfUnservable(err); + }); + } + startSyncOp() { + if (this.oldPFree !== 0) throw new Error("Sync operation in progress"); + this.oldPFree = this.u32[0]; + } + endSyncOp() { + if (this.oldPFree === 0) throw new Error("No sync operation in progress"); + this.u32[0] = this.oldPFree; + this.oldPFree = 0; + } + async postAction(slotIndex, e, transfers, _deferred) { + const slot = this.pool[slotIndex]; + if (!slot || slot.working) { + /* c8 ignore start */ + const err = /* @__PURE__ */ new Error("Posting a job to a working worker"); + if (_deferred) _deferred.reject(err); + throw err; + } + /* c8 ignore stop */ + slot.working = true; + slot.pendingDeferred = _deferred ? _deferred : new Deferred(); + if (transfers) { + for (const t of transfers) if (t instanceof ArrayBuffer && t.byteLength === 0) { + let detached = false; + try { + new Uint8Array(t, 0, 0); + } catch (err) { + detached = true; + } + if (detached) { + slot.working = false; + slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Task transfer list contains a detached ArrayBuffer")); + return slot.pendingDeferred.promise; + } + } + } + try { + await slot.worker.postMessage(e, transfers); + } catch (err) { + slot.working = false; + slot.pendingDeferred.reject(err); + } + return slot.pendingDeferred.promise; + } + async processWorks() { + for (let i = 0; i < this.concurrency && this.actionQueue.length > 0; i++) { + const slot = this.pool[i]; + if (slot && slot.initialized && !slot.working) { + const work = this.actionQueue.shift(); + await this.postAction(i, work.data, work.transfers, work.deferred).catch(() => {}); + } + } + if (this.actionQueue.length > 0) { + if (this.bootBroken) { + /* c8 ignore start */ + this._failQueueIfUnservable(this.bootBroken); + return; + } + /* c8 ignore stop */ + let initializingCount = 0; + for (let i = 0; i < this.concurrency; i++) { + const slot = this.pool[i]; + if (slot) { + if (slot.initializing) initializingCount++; + continue; + } + if (initializingCount >= this.actionQueue.length) break; + initializingCount++; + this.startWorker(i); + } + } + } + async queueAction(actionData, transfers) { + const d = new Deferred(); + if (this.singleThread) { + const res = this.taskManager(actionData); + d.resolve(res); + } else { + const work = { + data: actionData, + transfers, + deferred: d + }; + this.actionQueue.push(work); + try { + await this.processWorks(); + } catch (err) { + /* c8 ignore start */ + const idx = this.actionQueue.indexOf(work); + if (idx >= 0) this.actionQueue.splice(idx, 1); + d.reject(err); + } + } + return d.promise; + } + resetMemory() { + /* c8 ignore start */ + this.u32[0] = this.initalPFree; + } + /* c8 ignore stop */ + allocBuff(buff) { + const pointer = this.alloc(buff.byteLength); + this.setBuff(pointer, buff); + return pointer; + } + getBuff(pointer, length) { + return this.u8.slice(pointer, pointer + length); + } + setBuff(pointer, buffer) { + this.u8.set(new Uint8Array(buffer), pointer); + } + alloc(length) { + while (this.u32[0] & 3) this.u32[0]++; + const res = this.u32[0]; + this.u32[0] += length; + return res; + } + async terminate() { + for (let i = 0; i < this.pool.length; i++) { + const slot = this.pool[i]; + if (!slot) continue; + slot.worker.postMessage([{ cmd: "TERMINATE" }]); + /* c8 ignore next */ + try { + if (typeof slot.worker.terminate === "function") slot.worker.terminate(); + } catch (e) {} + unrefWorker(slot.worker); + this.pool[i] = null; + } + } +}; +//#endregion +//#region src/engine_applykey.js function buildBatchApplyKey(curve, groupName) { - const G = curve[groupName]; - const Fr = curve.Fr; - const tm = curve.tm; - - curve[groupName].batchApplyKey = async function(buff, first, inc, inType, outType) { - inType = inType || "affine"; - outType = outType || "affine"; - let fnName, fnAffine; - let sGin, sGmid, sGout; - if (groupName == "G1") { - if (inType == "jacobian") { - sGin = G.F.n8*3; - fnName = "g1m_batchApplyKey"; - } else { - sGin = G.F.n8*2; - fnName = "g1m_batchApplyKeyMixed"; - } - sGmid = G.F.n8*3; - if (outType == "jacobian") { - sGout = G.F.n8*3; - } else { - fnAffine = "g1m_batchToAffine"; - sGout = G.F.n8*2; - } - } else if (groupName == "G2") { - if (inType == "jacobian") { - sGin = G.F.n8*3; - fnName = "g2m_batchApplyKey"; - } else { - sGin = G.F.n8*2; - fnName = "g2m_batchApplyKeyMixed"; - } - sGmid = G.F.n8*3; - if (outType == "jacobian") { - sGout = G.F.n8*3; - } else { - fnAffine = "g2m_batchToAffine"; - sGout = G.F.n8*2; - } - } else if (groupName == "Fr") { - fnName = "frm_batchApplyKey"; - sGin = G.n8; - sGmid = G.n8; - sGout = G.n8; - } else { - throw new Error("Invalid group: " + groupName); - } - const nPoints = Math.floor(buff.byteLength / sGin); - const pointsPerChunk = Math.floor(nPoints/tm.concurrency); - const opPromises = []; - inc = Fr.e(inc); - let t = Fr.e(first); - for (let i=0; i=0; i--) { - if (!G.isZero(res)) { - for (let j=0; jMAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; - if (chunkSize { - if (logger) logger.debug(`Multiexp end: ${logText}: ${i}/${nPoints}`); - return r; - })); - } - - const result = await Promise.all(opPromises); - - let res = G.zero; - for (let i=result.length-1; i>=0; i--) { - res = G.add(res, result[i]); - } - - return res; - } - - G.multiExp = async function multiExpAffine(buffBases, buffScalars, logger, logText) { - return await _multiExp(buffBases, buffScalars, "jacobian", logger, logText); - }; - G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars, logger, logText) { - return await _multiExp(buffBases, buffScalars, "affine", logger, logText); - }; -} - + const G = curve[groupName]; + const tm = G.tm; + const MAX_CHUNK_SIZE = 1 << 22; + const MIN_CHUNK_SIZE = 4096; + function pointSize(inType) { + return inType === "affine" ? G.F.n8 * 2 : G.F.n8 * 3; + } + const AUTO_BATCH_MAX_BASES_BYTES = 1 << 21; + function batchModeOf(options) { + const m = options ? options.batch : void 0; + if (m === true || m === "enabled") return "enabled"; + if (m === false || m === "disabled") return "disabled"; + return "auto"; + } + function endoOf(options) { + const v = options ? groupName === "G1" ? options.glv : options.gls : void 0; + if (v === false || v === "disabled") return "disabled"; + return "auto"; + } + function trivialFraction(buffScalars, nPoints, sScalar) { + const nSamples = Math.min(64, nPoints); + const step = Math.floor(nPoints / nSamples) || 1; + let trivial = 0; + for (let s = 0; s < nSamples; s++) { + const o = s * step * sScalar; + let top = 0; + for (let k = sScalar - 1; k >= 1; k--) if (buffScalars[o + k] !== 0) { + top = k; + break; + } + if (top === 0 && buffScalars[o] <= 1) trivial++; + } + return trivial / nSamples; + } + function fnNameFor(inType, basesBytes, batchMode, endoMode, scalarsChunk, nPoints, sScalar) { + const g = groupName === "G1" ? "g1m" : "g2m"; + if (inType !== "affine") return `${g}_multiexp`; + let useBatch = batchMode === "enabled" || batchMode === "auto" && basesBytes <= AUTO_BATCH_MAX_BASES_BYTES; + if (!useBatch && batchMode === "auto" && scalarsChunk) useBatch = trivialFraction(scalarsChunk, nPoints, sScalar) >= .5; + if (!useBatch) return `${g}_multiexpAffine`; + return `${g}_multiexpAffineBatch${endoMode === "disabled" ? groupName === "G1" ? "NoGlv" : "NoGls" : ""}`; + } + function chunkSizeFor(nPoints, sScalar) { + const bitChunkSize = pTSizes[log2(nPoints)]; + let nChunks = Math.floor((sScalar * 8 - 1) / bitChunkSize) + 1; + if (groupName === "G2") nChunks *= 2; + nChunks = (Math.floor((nChunks - 1) / tm.concurrency) + 1) * tm.concurrency; + let chunkSize = Math.floor(nPoints / nChunks) + 1; + if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; + if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; + return chunkSize; + } + async function _multiExpChunk(buffBases, buffScalars, inType, batchMode, endoMode, logText) { + if (!(buffBases instanceof Uint8Array)) throw new Error(`${logText} _multiExpChunk buffBases is not Uint8Array`); + if (!(buffScalars instanceof Uint8Array)) throw new Error(`${logText} _multiExpChunk buffScalars is not Uint8Array`); + const sGIn = pointSize(inType); + const nPoints = Math.floor(buffBases.byteLength / sGIn); + if (nPoints === 0) return G.zero; + const sScalar = Math.floor(buffScalars.byteLength / nPoints); + if (sScalar * nPoints !== buffScalars.byteLength) throw new Error(`${logText} Scalar size does not match`); + const task = [ + { + cmd: "ALLOCSET", + var: 0, + buff: buffBases + }, + { + cmd: "ALLOCSET", + var: 1, + buff: buffScalars + }, + { + cmd: "ALLOC", + var: 2, + len: G.F.n8 * 3 + }, + { + cmd: "CALL", + fnName: fnNameFor(inType, buffBases.byteLength, batchMode, endoMode, buffScalars, nPoints, sScalar), + params: [ + { var: 0 }, + { var: 1 }, + { val: sScalar }, + { val: nPoints }, + { var: 2 } + ] + }, + { + cmd: "GET", + out: 0, + var: 2, + len: G.F.n8 * 3 + } + ]; + return (await tm.queueAction(task, [buffBases.buffer, buffScalars.buffer]))[0]; + } + async function _multiExpDispatch(getChunk, buffScalars, nPoints, sGIn, sScalar, inType, maxInFlight, batchMode, endoMode, logger, logText) { + if (nPoints === 0) return G.zero; + const chunkSize = chunkSizeFor(nPoints, sScalar); + const inFlight = /* @__PURE__ */ new Set(); + const partials = []; + try { + for (let off = 0; off < nPoints; off += chunkSize) { + const n = Math.min(nPoints - off, chunkSize); + const at = off; + while (inFlight.size >= maxInFlight) await Promise.race(inFlight); + if (logger) logger.debug(`Multiexp start: ${logText}: ${at}/${nPoints}`); + const slot = (async () => { + const r = await _multiExpChunk(await getChunk(at * sGIn, n * sGIn), buffScalars.slice(at * sScalar, (at + n) * sScalar), inType, batchMode, endoMode, logText); + if (logger) logger.debug(`Multiexp end: ${logText}: ${at}/${nPoints}`); + return r; + })().finally(() => inFlight.delete(slot)); + inFlight.add(slot); + partials.push(slot); + } + const result = await Promise.all(partials); + let res = G.zero; + for (let i = result.length - 1; i >= 0; i--) res = G.add(res, result[i]); + return res; + } catch (err) { + await Promise.allSettled(partials); + throw err; + } + } + function geometry(totalBasesBytes, buffScalars, inType) { + const sGIn = pointSize(inType); + const nPoints = Math.floor(totalBasesBytes / sGIn); + let sScalar = 0; + if (nPoints > 0) { + sScalar = Math.floor(buffScalars.byteLength / nPoints); + if (sScalar * nPoints !== buffScalars.byteLength) throw new Error("Scalar size does not match"); + } + return { + sGIn, + nPoints, + sScalar + }; + } + async function _multiExp(buffBases, buffScalars, inType, batchMode, endoMode, logger, logText) { + const { sGIn, nPoints, sScalar } = geometry(buffBases.byteLength, buffScalars, inType); + const getChunk = (off, len) => buffBases.slice(off, off + len); + return _multiExpDispatch(getChunk, buffScalars, nPoints, sGIn, sScalar, inType, Infinity, batchMode, endoMode, logger, logText); + } + G.multiExp = async function multiExp(buffBases, buffScalars, logger, logText) { + return _multiExp(buffBases, buffScalars, "jacobian", "disabled", "auto", logger, logText); + }; + G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars, logger, logText, options) { + return _multiExp(buffBases, buffScalars, "affine", batchModeOf(options), endoOf(options), logger, logText); + }; + G.multiExpAffineChunked = async function multiExpAffineChunked(basesReader, totalBasesBytes, buffScalars, logger, logText, options) { + if (typeof basesReader !== "function") throw new Error(`${logText || "multiExpAffineChunked"}: basesReader must be a function (byteOffset, byteLength) => Promise`); + const { sGIn, nPoints, sScalar } = geometry(totalBasesBytes, buffScalars, "affine"); + return _multiExpDispatch(basesReader, buffScalars, nPoints, sGIn, sScalar, "affine", tm.concurrency + 2, batchModeOf(options), endoOf(options), logger, logText); + }; +} +//#endregion +//#region src/engine_fft.js function buildFFT(curve, groupName) { - const G = curve[groupName]; - const Fr = curve.Fr; - const tm = G.tm; - async function _fft(buff, inverse, inType, outType, logger, loggerTxt) { - - inType = inType || "affine"; - outType = outType || "affine"; - const MAX_BITS_THREAD = 14; - - let sIn, sMid, sOut, fnIn2Mid, fnMid2Out, fnFFTMix, fnFFTJoin, fnFFTFinal; - if (groupName == "G1") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g1m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - sMid = G.F.n8*3; - if (inverse) { - fnFFTFinal = "g1m_fftFinal"; - } - fnFFTJoin = "g1m_fftJoin"; - fnFFTMix = "g1m_fftMix"; - - if (outType == "affine") { - sOut = G.F.n8*2; - fnMid2Out = "g1m_batchToAffine"; - } else { - sOut = G.F.n8*3; - } - - } else if (groupName == "G2") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g2m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - sMid = G.F.n8*3; - if (inverse) { - fnFFTFinal = "g2m_fftFinal"; - } - fnFFTJoin = "g2m_fftJoin"; - fnFFTMix = "g2m_fftMix"; - if (outType == "affine") { - sOut = G.F.n8*2; - fnMid2Out = "g2m_batchToAffine"; - } else { - sOut = G.F.n8*3; - } - } else if (groupName == "Fr") { - sIn = G.n8; - sMid = G.n8; - sOut = G.n8; - if (inverse) { - fnFFTFinal = "frm_fftFinal"; - } - fnFFTMix = "frm_fftMix"; - fnFFTJoin = "frm_fftJoin"; - } - - - let returnArray = false; - if (Array.isArray(buff)) { - buff = array2buffer(buff, sIn); - returnArray = true; - } else { - buff = buff.slice(0, buff.byteLength); - } - - const nPoints = buff.byteLength / sIn; - const bits = log2(nPoints); - - if ((1 << bits) != nPoints) { - throw new Error("fft must be multiple of 2" ); - } - - if (bits == Fr.s +1) { - let buffOut; - - if (inverse) { - buffOut = await _fftExtInv(buff, inType, outType, logger, loggerTxt); - } else { - buffOut = await _fftExt(buff, inType, outType, logger, loggerTxt); - } - - if (returnArray) { - return buffer2array(buffOut, sOut); - } else { - return buffOut; - } - } - - let inv; - if (inverse) { - inv = Fr.inv(Fr.e(nPoints)); - } - - let buffOut; - - buffReverseBits(buff, sIn); - - let chunks; - let pointsInChunk = Math.min(1 << MAX_BITS_THREAD, nPoints); - let nChunks = nPoints / pointsInChunk; - - while ((nChunks < tm.concurrency)&&(pointsInChunk>=16)) { - nChunks *= 2; - pointsInChunk /= 2; - } - - const l2Chunk = log2(pointsInChunk); - - const promises = []; - for (let i = 0; i< nChunks; i++) { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix start: ${i}/${nChunks}`); - const task = []; - task.push({cmd: "ALLOC", var: 0, len: sMid*pointsInChunk}); - const buffChunk = buff.slice( (pointsInChunk * i)*sIn, (pointsInChunk * (i+1))*sIn); - task.push({cmd: "SET", var: 0, buff: buffChunk}); - if (fnIn2Mid) { - task.push({cmd: "CALL", fnName:fnIn2Mid, params: [{var:0}, {val: pointsInChunk}, {var: 0}]}); - } - for (let j=1; j<=l2Chunk;j++) { - task.push({cmd: "CALL", fnName:fnFFTMix, params: [{var:0}, {val: pointsInChunk}, {val: j}]}); - } - - if (l2Chunk==bits) { - if (fnFFTFinal) { - task.push({cmd: "ALLOCSET", var: 1, buff: inv}); - task.push({cmd: "CALL", fnName: fnFFTFinal, params:[ - {var: 0}, - {val: pointsInChunk}, - {var: 1}, - ]}); - } - if (fnMid2Out) { - task.push({cmd: "CALL", fnName:fnMid2Out, params: [{var:0}, {val: pointsInChunk}, {var: 0}]}); - } - task.push({cmd: "GET", out: 0, var: 0, len: pointsInChunk*sOut}); - } else { - task.push({cmd: "GET", out:0, var: 0, len: sMid*pointsInChunk}); - } - promises.push(tm.queueAction(task).then( (r) => { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix end: ${i}/${nChunks}`); - return r; - })); - } - - chunks = await Promise.all(promises); - for (let i = 0; i< nChunks; i++) chunks[i] = chunks[i][0]; - - for (let i = l2Chunk+1; i<=bits; i++) { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} join: ${i}/${bits}`); - const nGroups = 1 << (bits - i); - const nChunksPerGroup = nChunks / nGroups; - const opPromises = []; - for (let j=0; j { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} join ${i}/${bits} ${j+1}/${nGroups} ${k}/${nChunksPerGroup/2}`); - return r; - })); - } - } - - const res = await Promise.all(opPromises); - for (let j=0; j0; i--) { - buffOut.set(chunks[i], p); - p += pointsInChunk*sOut; - delete chunks[i]; // Liberate mem - } - buffOut.set(chunks[0].slice(0, (pointsInChunk-1)*sOut), p); - delete chunks[0]; - } else { - for (let i=0; i (1<<28)) { - buffOut = new BigBuffer(res1[0].byteLength*2); - } else { - buffOut = new Uint8Array(res1[0].byteLength*2); - } - - buffOut.set(res1[0]); - buffOut.set(res1[1], res1[0].byteLength); - - return buffOut; - } - - async function _fftExtInv(buff, inType, outType, logger, loggerTxt) { - let b1, b2; - b1 = buff.slice( 0 , buff.byteLength/2); - b2 = buff.slice( buff.byteLength/2, buff.byteLength); - - const promises = []; - - promises.push( _fft(b1, true, inType, "jacobian", logger, loggerTxt)); - promises.push( _fft(b2, true, inType, "jacobian", logger, loggerTxt)); - - [b1, b2] = await Promise.all(promises); - - const res1 = await _fftJoinExt(b1, b2, "fftJoinExtInv", Fr.one, Fr.shiftInv, "jacobian", outType, logger, loggerTxt); - - let buffOut; - if (res1[0].byteLength > (1<<28)) { - buffOut = new BigBuffer(res1[0].byteLength*2); - } else { - buffOut = new Uint8Array(res1[0].byteLength*2); - } - - buffOut.set(res1[0]); - buffOut.set(res1[1], res1[0].byteLength); - - return buffOut; - } - - - async function _fftJoinExt(buff1, buff2, fn, first, inc, inType, outType, logger, loggerTxt) { - const MAX_CHUNK_SIZE = 1<<16; - const MIN_CHUNK_SIZE = 1<<4; - - let fnName; - let fnIn2Mid, fnMid2Out; - let sOut, sIn, sMid; - - if (groupName == "G1") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g1m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - sMid = G.F.n8*3; - fnName = "g1m_"+fn; - if (outType == "affine") { - fnMid2Out = "g1m_batchToAffine"; - sOut = G.F.n8*2; - } else { - sOut = G.F.n8*3; - } - } else if (groupName == "G2") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g2m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - fnName = "g2m_"+fn; - sMid = G.F.n8*3; - if (outType == "affine") { - fnMid2Out = "g2m_batchToAffine"; - sOut = G.F.n8*2; - } else { - sOut = G.F.n8*3; - } - } else if (groupName == "Fr") { - sIn = Fr.n8; - sOut = Fr.n8; - sMid = Fr.n8; - fnName = "frm_" + fn; - } else { - throw new Error("Invalid group"); - } - - if (buff1.byteLength != buff2.byteLength) { - throw new Error("Invalid buffer size"); - } - const nPoints = Math.floor(buff1.byteLength / sIn); - if (nPoints != 1 << log2(nPoints)) { - throw new Error("Invalid number of points"); - } - - let chunkSize = Math.floor(nPoints /tm.concurrency); - if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; - if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; - - const opPromises = []; - - for (let i=0; i { - if (logger) logger.debug(`${loggerTxt}: fftJoinExt End: ${i}/${nPoints}`); - return r; - }) - ); - } - - const result = await Promise.all(opPromises); - - let fullBuffOut1; - let fullBuffOut2; - if (nPoints * sOut > 1<<28) { - fullBuffOut1 = new BigBuffer(nPoints*sOut); - fullBuffOut2 = new BigBuffer(nPoints*sOut); - } else { - fullBuffOut1 = new Uint8Array(nPoints*sOut); - fullBuffOut2 = new Uint8Array(nPoints*sOut); - } - - let p =0; - for (let i=0; i Fr.s+1) { - if (logger) logger.error("lagrangeEvaluations input too big"); - throw new Error("lagrangeEvaluations input too big"); - } - - let t0 = buff.slice(0, buff.byteLength/2); - let t1 = buff.slice(buff.byteLength/2, buff.byteLength); - - - const shiftToSmallM = Fr.exp(Fr.shift, nPoints/2); - const sConst = Fr.inv( Fr.sub(Fr.one, shiftToSmallM)); - - [t0, t1] = await _fftJoinExt(t0, t1, "prepareLagrangeEvaluation", sConst, Fr.shiftInv, inType, "jacobian", logger, loggerTxt + " prep"); - - const promises = []; - - promises.push( _fft(t0, true, "jacobian", outType, logger, loggerTxt + " t0")); - promises.push( _fft(t1, true, "jacobian", outType, logger, loggerTxt + " t1")); - - [t0, t1] = await Promise.all(promises); - - let buffOut; - if (t0.byteLength > (1<<28)) { - buffOut = new BigBuffer(t0.byteLength*2); - } else { - buffOut = new Uint8Array(t0.byteLength*2); - } - - buffOut.set(t0); - buffOut.set(t1, t0.byteLength); - - return buffOut; - }; - - G.fftMix = async function fftMix(buff) { - const sG = G.F.n8*3; - let fnName, fnFFTJoin; - if (groupName == "G1") { - fnName = "g1m_fftMix"; - fnFFTJoin = "g1m_fftJoin"; - } else if (groupName == "G2") { - fnName = "g2m_fftMix"; - fnFFTJoin = "g2m_fftJoin"; - } else if (groupName == "Fr") { - fnName = "frm_fftMix"; - fnFFTJoin = "frm_fftJoin"; - } else { - throw new Error("Invalid group"); - } - - const nPoints = Math.floor(buff.byteLength / sG); - const power = log2(nPoints); - - let nChunks = 1 << log2(tm.concurrency); - - if (nPoints <= nChunks*2) nChunks = 1; - - const pointsPerChunk = nPoints / nChunks; - - const powerChunk = log2(pointsPerChunk); - - const opPromises = []; - for (let i=0; i=0; i--) { - fullBuffOut.set(result[i][0], p); - p+=result[i][0].byteLength; - } - - return fullBuffOut; - }; -} - + const G = curve[groupName]; + const Fr = curve.Fr; + const tm = G.tm; + async function _reversePermutation(buff, sIn, bits) { + return (await tm.queueAction([{ + cmd: "REVERSE", + src: buff, + sIn, + bits + }], [buff.buffer]))[0]; + } + async function _fft(buff, inverse, inType, outType, logger, loggerTxt, consume) { + inType = inType || "affine"; + outType = outType || "affine"; + const MAX_BITS_THREAD = 14; + let sIn, sMid, sOut, fnIn2Mid, fnMid2Out, fnFFTMix, fnFFTJoin, fnFFTFinal; + if (groupName == "G1") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g1m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + sMid = G.F.n8 * 3; + if (inverse) fnFFTFinal = "g1m_fftFinal"; + fnFFTJoin = "g1m_fftJoin"; + fnFFTMix = "g1m_fftMix"; + if (outType == "affine") { + sOut = G.F.n8 * 2; + fnMid2Out = "g1m_batchToAffine"; + } else sOut = G.F.n8 * 3; + } else if (groupName == "G2") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g2m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + sMid = G.F.n8 * 3; + if (inverse) fnFFTFinal = "g2m_fftFinal"; + fnFFTJoin = "g2m_fftJoin"; + fnFFTMix = "g2m_fftMix"; + if (outType == "affine") { + sOut = G.F.n8 * 2; + fnMid2Out = "g2m_batchToAffine"; + } else sOut = G.F.n8 * 3; + } else if (groupName == "Fr") { + sIn = G.n8; + sMid = G.n8; + sOut = G.n8; + if (inverse) fnFFTFinal = "frm_fftFinal"; + fnFFTMix = "frm_fftMix"; + fnFFTJoin = "frm_fftJoin"; + } + let returnArray = false; + if (Array.isArray(buff)) { + buff = array2buffer(buff, sIn); + returnArray = true; + } else if (!consume || !ArrayBuffer.isView(buff)) buff = buff.slice(0, buff.byteLength); + const nPoints = buff.byteLength / sIn; + const bits = log2(nPoints); + if (1 << bits != nPoints) throw new Error("fft must be multiple of 2"); + /* c8 ignore start */ + if (bits == Fr.s + 1) { + let buffOut; + if (inverse) buffOut = await _fftExtInv(buff, inType, outType, logger, loggerTxt); + else buffOut = await _fftExt(buff, inType, outType, logger, loggerTxt); + if (returnArray) return buffer2array(buffOut, sOut); + else return buffOut; + } + /* c8 ignore stop */ + let inv; + if (inverse) inv = Fr.inv(Fr.e(nPoints)); + let buffOut; + buff = await _reversePermutation(buff, sIn, bits); + let chunks; + let pointsInChunk = Math.min(1 << MAX_BITS_THREAD, nPoints); + let nChunks = nPoints / pointsInChunk; + while (nChunks < tm.concurrency && pointsInChunk >= 16) { + nChunks *= 2; + pointsInChunk /= 2; + } + const l2Chunk = log2(pointsInChunk); + const promises = []; + if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix start: ${nChunks}`); + for (let i = 0; i < nChunks; i++) { + const task = []; + task.push({ + cmd: "ALLOC", + var: 0, + len: sMid * pointsInChunk + }); + const buffChunk = buff.slice(pointsInChunk * i * sIn, pointsInChunk * (i + 1) * sIn); + task.push({ + cmd: "SET", + var: 0, + buff: buffChunk + }); + if (fnIn2Mid) task.push({ + cmd: "CALL", + fnName: fnIn2Mid, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 0 } + ] + }); + for (let j = 1; j <= l2Chunk; j++) task.push({ + cmd: "CALL", + fnName: fnFFTMix, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { val: j } + ] + }); + if (l2Chunk == bits) { + if (fnFFTFinal) { + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: inv + }); + task.push({ + cmd: "CALL", + fnName: fnFFTFinal, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 1 } + ] + }); + } + if (fnMid2Out) task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 0 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsInChunk * sOut + }); + } else task.push({ + cmd: "GET", + out: 0, + var: 0, + len: sMid * pointsInChunk + }); + promises.push(tm.queueAction(task, [buffChunk.buffer])); + } + chunks = await Promise.all(promises); + if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix end: ${nChunks}`); + for (let i = 0; i < nChunks; i++) chunks[i] = chunks[i][0]; + for (let i = l2Chunk + 1; i <= bits; i++) { + if (logger) logger.debug(`${loggerTxt}: fft ${bits} join: ${i}/${bits}`); + const nGroups = 1 << bits - i; + const nChunksPerGroup = nChunks / nGroups; + const opPromises = []; + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const first = Fr.exp(Fr.w[i], k * pointsInChunk); + const inc = Fr.w[i]; + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const task = []; + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: chunks[o1] + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: chunks[o2] + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: first + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + task.push({ + cmd: "CALL", + fnName: fnFFTJoin, + params: [ + { var: 0 }, + { var: 1 }, + { val: pointsInChunk }, + { var: 2 }, + { var: 3 } + ] + }); + if (i == bits) { + if (fnFFTFinal) { + task.push({ + cmd: "ALLOCSET", + var: 4, + buff: inv + }); + task.push({ + cmd: "CALL", + fnName: fnFFTFinal, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 4 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnFFTFinal, + params: [ + { var: 1 }, + { val: pointsInChunk }, + { var: 4 } + ] + }); + } + if (fnMid2Out) { + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 0 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 1 }, + { val: pointsInChunk }, + { var: 1 } + ] + }); + } + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsInChunk * sOut + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsInChunk * sOut + }); + } else { + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsInChunk * sMid + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsInChunk * sMid + }); + } + opPromises.push(tm.queueAction(task, [ + chunks[o1].buffer, + chunks[o2].buffer, + first.buffer + ])); + } + const res = await Promise.all(opPromises); + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const resChunk = res.shift(); + chunks[o1] = resChunk[0]; + chunks[o2] = resChunk[1]; + } + } + if (buff instanceof BigBuffer) + /* c8 ignore start */ + buffOut = new BigBuffer(nPoints * sOut); + else buffOut = new Uint8Array(nPoints * sOut); + if (inverse) { + buffOut.set(chunks[0].slice((pointsInChunk - 1) * sOut)); + let p = sOut; + for (let i = nChunks - 1; i > 0; i--) { + buffOut.set(chunks[i], p); + p += pointsInChunk * sOut; + delete chunks[i]; + } + buffOut.set(chunks[0].slice(0, (pointsInChunk - 1) * sOut), p); + delete chunks[0]; + } else for (let i = 0; i < nChunks; i++) { + buffOut.set(chunks[i], pointsInChunk * sOut * i); + delete chunks[i]; + } + if (returnArray) return buffer2array(buffOut, sOut); + else return buffOut; + } + /* c8 ignore start */ + async function _fftExt(buff, inType, outType, logger, loggerTxt) { + let b1, b2; + b1 = buff.slice(0, buff.byteLength / 2); + b2 = buff.slice(buff.byteLength / 2, buff.byteLength); + const promises = []; + [b1, b2] = await _fftJoinExt(b1, b2, "fftJoinExt", Fr.one, Fr.shift, inType, "jacobian", logger, loggerTxt); + promises.push(_fft(b1, false, "jacobian", outType, logger, loggerTxt)); + promises.push(_fft(b2, false, "jacobian", outType, logger, loggerTxt)); + const res1 = await Promise.all(promises); + let buffOut; + if (res1[0].byteLength > 1 << 28) buffOut = new BigBuffer(res1[0].byteLength * 2); + else buffOut = new Uint8Array(res1[0].byteLength * 2); + buffOut.set(res1[0]); + buffOut.set(res1[1], res1[0].byteLength); + return buffOut; + } + /* c8 ignore stop */ + /* c8 ignore start */ + async function _fftExtInv(buff, inType, outType, logger, loggerTxt) { + let b1, b2; + b1 = buff.slice(0, buff.byteLength / 2); + b2 = buff.slice(buff.byteLength / 2, buff.byteLength); + const promises = []; + promises.push(_fft(b1, true, inType, "jacobian", logger, loggerTxt)); + promises.push(_fft(b2, true, inType, "jacobian", logger, loggerTxt)); + [b1, b2] = await Promise.all(promises); + const res1 = await _fftJoinExt(b1, b2, "fftJoinExtInv", Fr.one, Fr.shiftInv, "jacobian", outType, logger, loggerTxt); + let buffOut; + if (res1[0].byteLength > 1 << 28) buffOut = new BigBuffer(res1[0].byteLength * 2); + else buffOut = new Uint8Array(res1[0].byteLength * 2); + buffOut.set(res1[0]); + buffOut.set(res1[1], res1[0].byteLength); + return buffOut; + } + /* c8 ignore stop */ + /* c8 ignore start */ + async function _fftJoinExt(buff1, buff2, fn, first, inc, inType, outType, logger, loggerTxt) { + const MAX_CHUNK_SIZE = 65536; + const MIN_CHUNK_SIZE = 16; + let fnName; + let fnIn2Mid, fnMid2Out; + let sOut, sIn, sMid; + if (groupName == "G1") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g1m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + sMid = G.F.n8 * 3; + fnName = "g1m_" + fn; + if (outType == "affine") { + fnMid2Out = "g1m_batchToAffine"; + sOut = G.F.n8 * 2; + } else sOut = G.F.n8 * 3; + } else if (groupName == "G2") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g2m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + fnName = "g2m_" + fn; + sMid = G.F.n8 * 3; + if (outType == "affine") { + fnMid2Out = "g2m_batchToAffine"; + sOut = G.F.n8 * 2; + } else sOut = G.F.n8 * 3; + } else if (groupName == "Fr") { + sIn = Fr.n8; + sOut = Fr.n8; + sMid = Fr.n8; + fnName = "frm_" + fn; + } else throw new Error("Invalid group"); + if (buff1.byteLength != buff2.byteLength) throw new Error("Invalid buffer size"); + const nPoints = Math.floor(buff1.byteLength / sIn); + if (nPoints != 1 << log2(nPoints)) throw new Error("Invalid number of points"); + let chunkSize = Math.floor(nPoints / tm.concurrency); + if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; + if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; + const opPromises = []; + for (let i = 0; i < nPoints; i += chunkSize) { + if (logger) logger.debug(`${loggerTxt}: fftJoinExt Start: ${i}/${nPoints}`); + const n = Math.min(nPoints - i, chunkSize); + const firstChunk = Fr.mul(first, Fr.exp(inc, i)); + const task = []; + const b1 = buff1.slice(i * sIn, (i + n) * sIn); + const b2 = buff2.slice(i * sIn, (i + n) * sIn); + task.push({ + cmd: "ALLOC", + var: 0, + len: sMid * n + }); + task.push({ + cmd: "SET", + var: 0, + buff: b1 + }); + task.push({ + cmd: "ALLOC", + var: 1, + len: sMid * n + }); + task.push({ + cmd: "SET", + var: 1, + buff: b2 + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: firstChunk + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + if (fnIn2Mid) { + task.push({ + cmd: "CALL", + fnName: fnIn2Mid, + params: [ + { var: 0 }, + { val: n }, + { var: 0 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnIn2Mid, + params: [ + { var: 1 }, + { val: n }, + { var: 1 } + ] + }); + } + task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { var: 1 }, + { val: n }, + { var: 2 }, + { var: 3 }, + { val: Fr.s } + ] + }); + if (fnMid2Out) { + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 0 }, + { val: n }, + { var: 0 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 1 }, + { val: n }, + { var: 1 } + ] + }); + } + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: n * sOut + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: n * sOut + }); + opPromises.push(tm.queueAction(task, [ + b1.buffer, + b2.buffer, + firstChunk.buffer + ]).then((r) => { + if (logger) logger.debug(`${loggerTxt}: fftJoinExt End: ${i}/${nPoints}`); + return r; + })); + } + const result = await Promise.all(opPromises); + let fullBuffOut1; + let fullBuffOut2; + if (nPoints * sOut > 1 << 28) { + fullBuffOut1 = new BigBuffer(nPoints * sOut); + fullBuffOut2 = new BigBuffer(nPoints * sOut); + } else { + fullBuffOut1 = new Uint8Array(nPoints * sOut); + fullBuffOut2 = new Uint8Array(nPoints * sOut); + } + let p = 0; + for (let i = 0; i < result.length; i++) { + fullBuffOut1.set(result[i][0], p); + fullBuffOut2.set(result[i][1], p); + p += result[i][0].byteLength; + } + return [fullBuffOut1, fullBuffOut2]; + } + /* c8 ignore stop */ + G.fft = async function(buff, inType, outType, logger, loggerTxt, consume) { + return await _fft(buff, false, inType, outType, logger, loggerTxt, consume); + }; + G.ifft = async function(buff, inType, outType, logger, loggerTxt, consume) { + return await _fft(buff, true, inType, outType, logger, loggerTxt, consume); + }; + G.lagrangeEvaluations = async function(buff, inType, outType, logger, loggerTxt) { + inType = inType || "affine"; + outType = outType || "affine"; + let sIn; + if (groupName == "G1") if (inType == "affine") sIn = G.F.n8 * 2; + else sIn = G.F.n8 * 3; + else if (groupName == "G2") if (inType == "affine") sIn = G.F.n8 * 2; + else sIn = G.F.n8 * 3; + else if (groupName == "Fr") + /* c8 ignore start */ + sIn = Fr.n8; + else throw new Error("Invalid group"); + /* c8 ignore stop */ + const nPoints = buff.byteLength / sIn; + const bits = log2(nPoints); + if (2 ** bits * sIn != buff.byteLength) { + if (logger) logger.error("lagrangeEvaluations iinvalid input size"); + throw new Error("lagrangeEvaluations invalid Input size"); + } + if (bits <= Fr.s) return await G.ifft(buff, inType, outType, logger, loggerTxt); + /* c8 ignore start */ + if (bits > Fr.s + 1) { + if (logger) logger.error("lagrangeEvaluations input too big"); + throw new Error("lagrangeEvaluations input too big"); + } + let t0 = buff.slice(0, buff.byteLength / 2); + let t1 = buff.slice(buff.byteLength / 2, buff.byteLength); + const shiftToSmallM = Fr.exp(Fr.shift, nPoints / 2); + const sConst = Fr.inv(Fr.sub(Fr.one, shiftToSmallM)); + [t0, t1] = await _fftJoinExt(t0, t1, "prepareLagrangeEvaluation", sConst, Fr.shiftInv, inType, "jacobian", logger, loggerTxt + " prep"); + const promises = []; + promises.push(_fft(t0, true, "jacobian", outType, logger, loggerTxt + " t0")); + promises.push(_fft(t1, true, "jacobian", outType, logger, loggerTxt + " t1")); + [t0, t1] = await Promise.all(promises); + let buffOut; + if (t0.byteLength > 1 << 28) buffOut = new BigBuffer(t0.byteLength * 2); + else buffOut = new Uint8Array(t0.byteLength * 2); + buffOut.set(t0); + buffOut.set(t1, t0.byteLength); + return buffOut; + /* c8 ignore stop */ + }; + G.fftMix = async function fftMix(buff) { + const sG = G.F.n8 * 3; + let fnName, fnFFTJoin; + if (groupName == "G1") { + fnName = "g1m_fftMix"; + fnFFTJoin = "g1m_fftJoin"; + } else if (groupName == "G2") { + fnName = "g2m_fftMix"; + fnFFTJoin = "g2m_fftJoin"; + } else if (groupName == "Fr") { + fnName = "frm_fftMix"; + fnFFTJoin = "frm_fftJoin"; + } else throw new Error("Invalid group"); + /* c8 ignore stop */ + const nPoints = Math.floor(buff.byteLength / sG); + const power = log2(nPoints); + let nChunks = 1 << log2(tm.concurrency); + if (nPoints <= nChunks * 2) nChunks = 1; + const pointsPerChunk = nPoints / nChunks; + const powerChunk = log2(pointsPerChunk); + const opPromises = []; + for (let i = 0; i < nChunks; i++) { + const task = []; + const b = buff.slice(i * pointsPerChunk * sG, (i + 1) * pointsPerChunk * sG); + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: b + }); + for (let j = 1; j <= powerChunk; j++) task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { val: pointsPerChunk }, + { val: j } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsPerChunk * sG + }); + opPromises.push(tm.queueAction(task, [b.buffer])); + } + const result = await Promise.all(opPromises); + const chunks = []; + for (let i = 0; i < result.length; i++) chunks[i] = result[i][0]; + for (let i = powerChunk + 1; i <= power; i++) { + const nGroups = 1 << power - i; + const nChunksPerGroup = nChunks / nGroups; + const opPromises = []; + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const first = Fr.exp(Fr.w[i], k * pointsPerChunk); + const inc = Fr.w[i]; + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const task = []; + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: chunks[o1] + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: chunks[o2] + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: first + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + task.push({ + cmd: "CALL", + fnName: fnFFTJoin, + params: [ + { var: 0 }, + { var: 1 }, + { val: pointsPerChunk }, + { var: 2 }, + { var: 3 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsPerChunk * sG + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsPerChunk * sG + }); + opPromises.push(tm.queueAction(task, [ + chunks[o1].buffer, + chunks[o2].buffer, + first.buffer + ])); + } + const res = await Promise.all(opPromises); + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const resChunk = res.shift(); + chunks[o1] = resChunk[0]; + chunks[o2] = resChunk[1]; + } + } + let fullBuffOut; + if (buff instanceof BigBuffer) + /* c8 ignore start */ + fullBuffOut = new BigBuffer(nPoints * sG); + else fullBuffOut = new Uint8Array(nPoints * sG); + let p = 0; + for (let i = 0; i < nChunks; i++) { + fullBuffOut.set(chunks[i], p); + p += chunks[i].byteLength; + } + return fullBuffOut; + }; + G.fftJoin = async function fftJoin(buff1, buff2, first, inc) { + const sG = G.F.n8 * 3; + let fnName; + if (groupName == "G1") fnName = "g1m_fftJoin"; + else if (groupName == "G2") fnName = "g2m_fftJoin"; + else if (groupName == "Fr") fnName = "frm_fftJoin"; + else throw new Error("Invalid group"); + /* c8 ignore stop */ + if (buff1.byteLength != buff2.byteLength) throw new Error("Invalid buffer size"); + const nPoints = Math.floor(buff1.byteLength / sG); + if (nPoints != 1 << log2(nPoints)) throw new Error("Invalid number of points"); + let nChunks = 1 << log2(tm.concurrency); + if (nPoints <= nChunks * 2) nChunks = 1; + const pointsPerChunk = nPoints / nChunks; + const opPromises = []; + for (let i = 0; i < nChunks; i++) { + const task = []; + const firstChunk = Fr.mul(first, Fr.exp(inc, i * pointsPerChunk)); + const b1 = buff1.slice(i * pointsPerChunk * sG, (i + 1) * pointsPerChunk * sG); + const b2 = buff2.slice(i * pointsPerChunk * sG, (i + 1) * pointsPerChunk * sG); + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: b1 + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: b2 + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: firstChunk + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { var: 1 }, + { val: pointsPerChunk }, + { var: 2 }, + { var: 3 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsPerChunk * sG + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsPerChunk * sG + }); + opPromises.push(tm.queueAction(task, [ + b1.buffer, + b2.buffer, + firstChunk.buffer + ])); + } + const result = await Promise.all(opPromises); + let fullBuffOut1; + let fullBuffOut2; + if (buff1 instanceof BigBuffer) { + /* c8 ignore start */ + fullBuffOut1 = new BigBuffer(nPoints * sG); + fullBuffOut2 = new BigBuffer(nPoints * sG); + } else { + fullBuffOut1 = new Uint8Array(nPoints * sG); + fullBuffOut2 = new Uint8Array(nPoints * sG); + } + let p = 0; + for (let i = 0; i < result.length; i++) { + fullBuffOut1.set(result[i][0], p); + fullBuffOut2.set(result[i][1], p); + p += result[i][0].byteLength; + } + return [fullBuffOut1, fullBuffOut2]; + }; + G.fftFinal = async function fftFinal(buff, factor) { + const sG = G.F.n8 * 3; + const sGout = G.F.n8 * 2; + let fnName, fnToAffine; + if (groupName == "G1") { + fnName = "g1m_fftFinal"; + fnToAffine = "g1m_batchToAffine"; + } else if (groupName == "G2") { + fnName = "g2m_fftFinal"; + fnToAffine = "g2m_batchToAffine"; + } else throw new Error("Invalid group"); + /* c8 ignore stop */ + const nPoints = Math.floor(buff.byteLength / sG); + if (nPoints != 1 << log2(nPoints)) throw new Error("Invalid number of points"); + const pointsPerChunk = Math.floor(nPoints / tm.concurrency); + const opPromises = []; + for (let i = 0; i < tm.concurrency; i++) { + let n; + if (i < tm.concurrency - 1) n = pointsPerChunk; + else n = nPoints - i * pointsPerChunk; + if (n == 0) continue; + const task = []; + const b = buff.slice(i * pointsPerChunk * sG, (i * pointsPerChunk + n) * sG); + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: b + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: factor + }); + task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { val: n }, + { var: 1 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnToAffine, + params: [ + { var: 0 }, + { val: n }, + { var: 0 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: n * sGout + }); + opPromises.push(tm.queueAction(task, [b.buffer])); + } + const result = await Promise.all(opPromises); + let fullBuffOut; + if (buff instanceof BigBuffer) + /* c8 ignore start */ + fullBuffOut = new BigBuffer(nPoints * sGout); + else fullBuffOut = new Uint8Array(nPoints * sGout); + let p = 0; + for (let i = result.length - 1; i >= 0; i--) { + fullBuffOut.set(result[i][0], p); + p += result[i][0].byteLength; + } + return fullBuffOut; + }; +} +//#endregion +//#region src/engine.js async function buildEngine(params) { - - const tm = await buildThreadManager(params.wasm, params.singleThread); - - - const curve = {}; - - curve.q = e(params.wasm.q.toString()); - curve.r = e(params.wasm.r.toString()); - curve.name = params.name; - curve.tm = tm; - curve.prePSize = params.wasm.prePSize; - curve.preQSize = params.wasm.preQSize; - curve.Fr = new WasmField1(tm, "frm", params.n8r, params.r); - curve.F1 = new WasmField1(tm, "f1m", params.n8q, params.q); - curve.F2 = new WasmField2(tm, "f2m", curve.F1); - curve.G1 = new WasmCurve(tm, "g1m", curve.F1, params.wasm.pG1gen, params.wasm.pG1b, params.cofactorG1); - curve.G2 = new WasmCurve(tm, "g2m", curve.F2, params.wasm.pG2gen, params.wasm.pG2b, params.cofactorG2); - curve.F6 = new WasmField3(tm, "f6m", curve.F2); - curve.F12 = new WasmField2(tm, "ftm", curve.F6); - - curve.Gt = curve.F12; - - buildBatchApplyKey(curve, "G1"); - buildBatchApplyKey(curve, "G2"); - buildBatchApplyKey(curve, "Fr"); - - buildMultiexp(curve, "G1"); - buildMultiexp(curve, "G2"); - - buildFFT(curve, "G1"); - buildFFT(curve, "G2"); - buildFFT(curve, "Fr"); - - buildPairing(curve); - - curve.array2buffer = function(arr, sG) { - const buff = new Uint8Array(sG*arr.length); - - for (let i=0; i. -*/ - -function toNumber(n) { - return BigInt(n); -} - -function isNegative(n) { - return n < 0n; -} - -function isZero(n) { - return n === 0n; -} - -function bitLength(n) { - if (isNegative(n)) { - return n.toString(2).length - 1; // discard the - sign - } else { - return n.toString(2).length; - } -} - -function u32(n) { - const b = []; - const v = toNumber(n); - b.push(Number(v & 0xFFn)); - b.push(Number(v >> 8n & 0xFFn)); - b.push(Number(v >> 16n & 0xFFn)); - b.push(Number(v >> 24n & 0xFFn)); - return b; -} - -function toUTF8Array(str) { - var utf8 = []; - for (var i=0; i < str.length; i++) { - var charcode = str.charCodeAt(i); - if (charcode < 0x80) utf8.push(charcode); - else if (charcode < 0x800) { - utf8.push(0xc0 | (charcode >> 6), - 0x80 | (charcode & 0x3f)); - } - else if (charcode < 0xd800 || charcode >= 0xe000) { - utf8.push(0xe0 | (charcode >> 12), - 0x80 | ((charcode>>6) & 0x3f), - 0x80 | (charcode & 0x3f)); - } - // surrogate pair - else { - i++; - // UTF-16 encodes 0x10000-0x10FFFF by - // subtracting 0x10000 and splitting the - // 20 bits of 0x0-0xFFFFF into two halves - charcode = 0x10000 + (((charcode & 0x3ff)<<10) - | (str.charCodeAt(i) & 0x3ff)); - utf8.push(0xf0 | (charcode >>18), - 0x80 | ((charcode>>12) & 0x3f), - 0x80 | ((charcode>>6) & 0x3f), - 0x80 | (charcode & 0x3f)); - } - } - return utf8; -} - -function string(str) { - const bytes = toUTF8Array(str); - return [ ...varuint32(bytes.length), ...bytes ]; -} - -function varuint(n) { - const code = []; - let v = toNumber(n); - if (isNegative(v)) throw new Error("Number cannot be negative"); - while (!isZero(v)) { - code.push(Number(v & 0x7Fn)); - v = v >> 7n; - } - if (code.length==0) code.push(0); - for (let i=0; i 0xFFFFFFFFn) throw new Error("Number too big"); - if (v > 0x7FFFFFFFn) v = v - 0x100000000n; - // bigInt("-80000000", 16) as base10 - if (v < -2147483648n) throw new Error("Number too small"); - return varint(v); -} - -function varint64(n) { - let v = toNumber(n); - if (v > 0xFFFFFFFFFFFFFFFFn) throw new Error("Number too big"); - if (v > 0x7FFFFFFFFFFFFFFFn) v = v - 0x10000000000000000n; - // bigInt("-8000000000000000", 16) as base10 - if (v < -9223372036854775808n) throw new Error("Number too small"); - return varint(v); -} - -function varuint32(n) { - let v = toNumber(n); - if (v > 0xFFFFFFFFn) throw new Error("Number too big"); - return varuint(v); -} - -function toHexString(byteArray) { - return Array.from(byteArray, function(byte) { - return ("0" + (byte & 0xFF).toString(16)).slice(-2); - }).join(""); -} - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmbuilder - - wasmbuilder is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmbuilder is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmbuilder. If not, see . -*/ - - -class CodeBuilder { - constructor(func) { - this.func = func; - this.functionName = func.functionName; - this.module = func.module; - } - - setLocal(localName, valCode) { - const idx = this.func.localIdxByName[localName]; - if (idx === undefined) - throw new Error(`Local Variable not defined: Function: ${this.functionName} local: ${localName} `); - return [...valCode, 0x21, ...varuint32( idx )]; - } - - teeLocal(localName, valCode) { - const idx = this.func.localIdxByName[localName]; - if (idx === undefined) - throw new Error(`Local Variable not defined: Function: ${this.functionName} local: ${localName} `); - return [...valCode, 0x22, ...varuint32( idx )]; - } - - getLocal(localName) { - const idx = this.func.localIdxByName[localName]; - if (idx === undefined) - throw new Error(`Local Variable not defined: Function: ${this.functionName} local: ${localName} `); - return [0x20, ...varuint32( idx )]; - } - - i64_load8_s(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 0 : _align; // 8 bits alignment by default - return [...idxCode, 0x30, align, ...varuint32(offset)]; - } - - i64_load8_u(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 0 : _align; // 8 bits alignment by default - return [...idxCode, 0x31, align, ...varuint32(offset)]; - } - - i64_load16_s(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 1 : _align; // 16 bits alignment by default - return [...idxCode, 0x32, align, ...varuint32(offset)]; - } - - i64_load16_u(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 1 : _align; // 16 bits alignment by default - return [...idxCode, 0x33, align, ...varuint32(offset)]; - } - - i64_load32_s(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 2 : _align; // 32 bits alignment by default - return [...idxCode, 0x34, align, ...varuint32(offset)]; - } - - i64_load32_u(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 2 : _align; // 32 bits alignment by default - return [...idxCode, 0x35, align, ...varuint32(offset)]; - } - - i64_load(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 3 : _align; // 64 bits alignment by default - return [...idxCode, 0x29, align, ...varuint32(offset)]; - } - - - i64_store(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 3; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 3; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x37, align, ...varuint32(offset)]; - } - - i64_store32(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 2; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 2; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x3e, align, ...varuint32(offset)]; - } - - - i64_store16(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 1; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 1; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x3d, align, ...varuint32(offset)]; - } - - - i64_store8(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 0; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 0; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x3c, align, ...varuint32(offset)]; - } - - i32_load8_s(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 0 : _align; // 32 bits alignment by default - return [...idxCode, 0x2c, align, ...varuint32(offset)]; - } - - i32_load8_u(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 0 : _align; // 32 bits alignment by default - return [...idxCode, 0x2d, align, ...varuint32(offset)]; - } - - i32_load16_s(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 1 : _align; // 32 bits alignment by default - return [...idxCode, 0x2e, align, ...varuint32(offset)]; - } - - i32_load16_u(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 1 : _align; // 32 bits alignment by default - return [...idxCode, 0x2f, align, ...varuint32(offset)]; - } - - i32_load(idxCode, _offset, _align) { - const offset = _offset || 0; - const align = (_align === undefined) ? 2 : _align; // 32 bits alignment by default - return [...idxCode, 0x28, align, ...varuint32(offset)]; - } - - i32_store(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 2; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 2; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x36, align, ...varuint32(offset)]; - } - - - i32_store16(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 1; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 1; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x3b, align, ...varuint32(offset)]; - } - - i32_store8(idxCode, _offset, _align, _codeVal) { - let offset, align, codeVal; - if (Array.isArray(_offset)) { - offset = 0; - align = 0; - codeVal = _offset; - } else if (Array.isArray(_align)) { - offset = _offset; - align = 0; - codeVal = _align; - } else if (Array.isArray(_codeVal)) { - offset = _offset; - align = _align; - codeVal = _codeVal; - } - return [...idxCode, ...codeVal, 0x3a, align, ...varuint32(offset)]; - } - - call(fnName, ...args) { - const idx = this.module.functionIdxByName[fnName]; - if (idx === undefined) - throw new Error(`Function not defined: Function: ${fnName}`); - return [...[].concat(...args), 0x10, ...varuint32(idx)]; - } - - call_indirect(fnIdx, ...args) { - return [...[].concat(...args), ...fnIdx, 0x11, 0, 0]; - } - - if(condCode, thenCode, elseCode) { - if (elseCode) { - return [...condCode, 0x04, 0x40, ...thenCode, 0x05, ...elseCode, 0x0b]; - } else { - return [...condCode, 0x04, 0x40, ...thenCode, 0x0b]; - } - } - - block(bCode) { return [0x02, 0x40, ...bCode, 0x0b]; } - loop(...args) { - return [0x03, 0x40, ...[].concat(...[...args]), 0x0b]; - } - br_if(relPath, condCode) { return [...condCode, 0x0d, ...varuint32(relPath)]; } - br(relPath) { return [0x0c, ...varuint32(relPath)]; } - ret(rCode) { return [...rCode, 0x0f]; } - drop(dCode) { return [...dCode, 0x1a]; } - - i64_const(num) { return [0x42, ...varint64(num)]; } - i32_const(num) { return [0x41, ...varint32(num)]; } - - - i64_eqz(opcode) { return [...opcode, 0x50]; } - i64_eq(op1code, op2code) { return [...op1code, ...op2code, 0x51]; } - i64_ne(op1code, op2code) { return [...op1code, ...op2code, 0x52]; } - i64_lt_s(op1code, op2code) { return [...op1code, ...op2code, 0x53]; } - i64_lt_u(op1code, op2code) { return [...op1code, ...op2code, 0x54]; } - i64_gt_s(op1code, op2code) { return [...op1code, ...op2code, 0x55]; } - i64_gt_u(op1code, op2code) { return [...op1code, ...op2code, 0x56]; } - i64_le_s(op1code, op2code) { return [...op1code, ...op2code, 0x57]; } - i64_le_u(op1code, op2code) { return [...op1code, ...op2code, 0x58]; } - i64_ge_s(op1code, op2code) { return [...op1code, ...op2code, 0x59]; } - i64_ge_u(op1code, op2code) { return [...op1code, ...op2code, 0x5a]; } - i64_add(op1code, op2code) { return [...op1code, ...op2code, 0x7c]; } - i64_sub(op1code, op2code) { return [...op1code, ...op2code, 0x7d]; } - i64_mul(op1code, op2code) { return [...op1code, ...op2code, 0x7e]; } - i64_div_s(op1code, op2code) { return [...op1code, ...op2code, 0x7f]; } - i64_div_u(op1code, op2code) { return [...op1code, ...op2code, 0x80]; } - i64_rem_s(op1code, op2code) { return [...op1code, ...op2code, 0x81]; } - i64_rem_u(op1code, op2code) { return [...op1code, ...op2code, 0x82]; } - i64_and(op1code, op2code) { return [...op1code, ...op2code, 0x83]; } - i64_or(op1code, op2code) { return [...op1code, ...op2code, 0x84]; } - i64_xor(op1code, op2code) { return [...op1code, ...op2code, 0x85]; } - i64_shl(op1code, op2code) { return [...op1code, ...op2code, 0x86]; } - i64_shr_s(op1code, op2code) { return [...op1code, ...op2code, 0x87]; } - i64_shr_u(op1code, op2code) { return [...op1code, ...op2code, 0x88]; } - i64_extend_i32_s(op1code) { return [...op1code, 0xac]; } - i64_extend_i32_u(op1code) { return [...op1code, 0xad]; } - i64_clz(op1code) { return [...op1code, 0x79]; } - i64_ctz(op1code) { return [...op1code, 0x7a]; } - - i32_eqz(op1code) { return [...op1code, 0x45]; } - i32_eq(op1code, op2code) { return [...op1code, ...op2code, 0x46]; } - i32_ne(op1code, op2code) { return [...op1code, ...op2code, 0x47]; } - i32_lt_s(op1code, op2code) { return [...op1code, ...op2code, 0x48]; } - i32_lt_u(op1code, op2code) { return [...op1code, ...op2code, 0x49]; } - i32_gt_s(op1code, op2code) { return [...op1code, ...op2code, 0x4a]; } - i32_gt_u(op1code, op2code) { return [...op1code, ...op2code, 0x4b]; } - i32_le_s(op1code, op2code) { return [...op1code, ...op2code, 0x4c]; } - i32_le_u(op1code, op2code) { return [...op1code, ...op2code, 0x4d]; } - i32_ge_s(op1code, op2code) { return [...op1code, ...op2code, 0x4e]; } - i32_ge_u(op1code, op2code) { return [...op1code, ...op2code, 0x4f]; } - i32_add(op1code, op2code) { return [...op1code, ...op2code, 0x6a]; } - i32_sub(op1code, op2code) { return [...op1code, ...op2code, 0x6b]; } - i32_mul(op1code, op2code) { return [...op1code, ...op2code, 0x6c]; } - i32_div_s(op1code, op2code) { return [...op1code, ...op2code, 0x6d]; } - i32_div_u(op1code, op2code) { return [...op1code, ...op2code, 0x6e]; } - i32_rem_s(op1code, op2code) { return [...op1code, ...op2code, 0x6f]; } - i32_rem_u(op1code, op2code) { return [...op1code, ...op2code, 0x70]; } - i32_and(op1code, op2code) { return [...op1code, ...op2code, 0x71]; } - i32_or(op1code, op2code) { return [...op1code, ...op2code, 0x72]; } - i32_xor(op1code, op2code) { return [...op1code, ...op2code, 0x73]; } - i32_shl(op1code, op2code) { return [...op1code, ...op2code, 0x74]; } - i32_shr_s(op1code, op2code) { return [...op1code, ...op2code, 0x75]; } - i32_shr_u(op1code, op2code) { return [...op1code, ...op2code, 0x76]; } - i32_rotl(op1code, op2code) { return [...op1code, ...op2code, 0x77]; } - i32_rotr(op1code, op2code) { return [...op1code, ...op2code, 0x78]; } - i32_wrap_i64(op1code) { return [...op1code, 0xa7]; } - i32_clz(op1code) { return [...op1code, 0x67]; } - i32_ctz(op1code) { return [...op1code, 0x68]; } - - unreachable() { return [ 0x0 ]; } - - current_memory() { return [ 0x3f, 0]; } - - comment() { return []; } -} - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmbuilder - - wasmbuilder is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmbuilder is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmbuilder. If not, see . -*/ - - -const typeCodes = { - "i32": 0x7f, - "i64": 0x7e, - "f32": 0x7d, - "f64": 0x7c, - "anyfunc": 0x70, - "func": 0x60, - "emptyblock": 0x40 -}; - - -class FunctionBuilder { - - constructor (module, fnName, fnType, moduleName, fieldName) { - if (fnType == "import") { - this.fnType = "import"; - this.moduleName = moduleName; - this.fieldName = fieldName; - } else if (fnType == "internal") { - this.fnType = "internal"; - } else { - throw new Error("Invalid function fnType: " + fnType); - } - this.module = module; - this.fnName = fnName; - this.params = []; - this.locals = []; - this.localIdxByName = {}; - this.code = []; - this.returnType = null; - this.nextLocal =0; - } - - addParam(paramName, paramType) { - if (this.localIdxByName[paramName]) - throw new Error(`param already exists. Function: ${this.fnName}, Param: ${paramName} `); - const idx = this.nextLocal++; - this.localIdxByName[paramName] = idx; - this.params.push({ - type: paramType - }); - } - - addLocal(localName, localType, _length) { - const length = _length || 1; - if (this.localIdxByName[localName]) - throw new Error(`local already exists. Function: ${this.fnName}, Param: ${localName} `); - const idx = this.nextLocal++; - this.localIdxByName[localName] = idx; - this.locals.push({ - type: localType, - length: length - }); - } - - setReturnType(returnType) { - if (this.returnType) - throw new Error(`returnType already defined. Function: ${this.fnName}`); - this.returnType = returnType; - } - - getSignature() { - const params = [...varuint32(this.params.length), ...this.params.map((p) => typeCodes[p.type])]; - const returns = this.returnType ? [0x01, typeCodes[this.returnType]] : [0]; - return [0x60, ...params, ...returns]; - } - - getBody() { - const locals = this.locals.map((l) => [ - ...varuint32(l.length), - typeCodes[l.type] - ]); - - const body = [ - ...varuint32(this.locals.length), - ...[].concat(...locals), - ...this.code, - 0x0b - ]; - return [ - ...varuint32(body.length), - ...body - ]; - } - - addCode(...code) { - this.code.push(...[].concat(...[...code])); - } - - getCodeBuilder() { - return new CodeBuilder(this); - } -} - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmbuilder - - wasmbuilder is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmbuilder is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmbuilder. If not, see . -*/ - - -class ModuleBuilder { - - constructor() { - this.functions = []; - this.functionIdxByName = {}; - this.nImportFunctions = 0; - this.nInternalFunctions =0; - this.memory = { - pagesSize: 1, - moduleName: "env", - fieldName: "memory" - }; - this.free = 8; - this.datas = []; - this.modules = {}; - this.exports = []; - this.functionsTable = []; - } - - build() { - this._setSignatures(); - return new Uint8Array([ - ...u32(0x6d736100), - ...u32(1), - ...this._buildType(), - ...this._buildImport(), - ...this._buildFunctionDeclarations(), - ...this._buildFunctionsTable(), - ...this._buildExports(), - ...this._buildElements(), - ...this._buildCode(), - ...this._buildData() - ]); - } - - addFunction(fnName) { - if (typeof(this.functionIdxByName[fnName]) !== "undefined") - throw new Error(`Function already defined: ${fnName}`); - - const idx = this.functions.length; - this.functionIdxByName[fnName] = idx; - - this.functions.push(new FunctionBuilder(this, fnName, "internal")); - - this.nInternalFunctions++; - return this.functions[idx]; - } - - addIimportFunction(fnName, moduleName, _fieldName) { - if (typeof(this.functionIdxByName[fnName]) !== "undefined") - throw new Error(`Function already defined: ${fnName}`); - - if ( (this.functions.length>0) - &&(this.functions[this.functions.length-1].type == "internal")) - throw new Error(`Import functions must be declared before internal: ${fnName}`); - - let fieldName = _fieldName || fnName; - - const idx = this.functions.length; - this.functionIdxByName[fnName] = idx; - - this.functions.push(new FunctionBuilder(this, fnName, "import", moduleName, fieldName)); - - this.nImportFunctions ++; - return this.functions[idx]; - } - - setMemory(pagesSize, moduleName, fieldName) { - this.memory = { - pagesSize: pagesSize, - moduleName: moduleName || "env", - fieldName: fieldName || "memory" - }; - } - - exportFunction(fnName, _exportName) { - const exportName = _exportName || fnName; - if (typeof(this.functionIdxByName[fnName]) === "undefined") - throw new Error(`Function not defined: ${fnName}`); - const idx = this.functionIdxByName[fnName]; - if (exportName != fnName) { - this.functionIdxByName[exportName] = idx; - } - this.exports.push({ - exportName: exportName, - idx: idx - }); - } - - addFunctionToTable(fnName) { - const idx = this.functionIdxByName[fnName]; - this.functionsTable.push(idx); - } - - addData(offset, bytes) { - this.datas.push({ - offset: offset, - bytes: bytes - }); - } - - alloc(a, b) { - let size; - let bytes; - if ((Array.isArray(a) || ArrayBuffer.isView(a)) && (typeof(b) === "undefined")) { - size = a.length; - bytes = a; - } else { - size = a; - bytes = b; - } - size = (((size-1)>>3) +1)<<3; // Align to 64 bits. - const p = this.free; - this.free += size; - if (bytes) { - this.addData(p, bytes); - } - return p; - } - - allocString(s) { - const encoder = new globalThis.TextEncoder(); - const uint8array = encoder.encode(s); - return this.alloc([...uint8array, 0]); - } - - _setSignatures() { - this.signatures = []; - const signatureIdxByName = {}; - if (this.functionsTable.length>0) { - const signature = this.functions[this.functionsTable[0]].getSignature(); - const signatureName = "s_"+toHexString(signature); - signatureIdxByName[signatureName] = 0; - this.signatures.push(signature); - } - for (let i=0; i 0 && b64[len - 1] === "=") pad++; + if (len > 1 && b64[len - 2] === "=") pad++; + const outLen = (len * 3 >> 2) - pad; + const out = new Uint8Array(outLen); + let o = 0; + for (let i = 0; i < len; i += 4) { + const a = LOOKUP[b64.charCodeAt(i)]; + const b = LOOKUP[b64.charCodeAt(i + 1)]; + const c = LOOKUP[b64.charCodeAt(i + 2)]; + const d = LOOKUP[b64.charCodeAt(i + 3)]; + if (o < outLen) out[o++] = a << 2 | b >> 4; + if (o < outLen) out[o++] = (b & 15) << 4 | c >> 2; + if (o < outLen) out[o++] = (c & 3) << 6 | d; + } + return out; +} +function base64ToUint8Array(b64) { + if (typeof Buffer !== "undefined" && typeof Buffer.from === "function") return new Uint8Array(Buffer.from(b64, "base64")); + if (typeof atob === "function") { + const bin = atob(b64); + const out = new Uint8Array(bin.length); + for (let i = 0; i < bin.length; i++) out[i] = bin.charCodeAt(i); + return out; + } + return decodePureJs(b64); +} +//#endregion +//#region src/bn128.js +var curve_bn128 = null; async function buildBn128(singleThread, plugins) { - if ((!singleThread) && (globalThis.curve_bn128)) return globalThis.curve_bn128; - - const moduleBuilder = new ModuleBuilder(); - moduleBuilder.setMemory(25); - buildBn128$1(moduleBuilder); - - if (plugins) plugins(moduleBuilder); - - const bn128wasm = {}; - - bn128wasm.code = moduleBuilder.build(); - bn128wasm.pq = moduleBuilder.modules.f1m.pq; - bn128wasm.pr = moduleBuilder.modules.frm.pq; - bn128wasm.pG1gen = moduleBuilder.modules.bn128.pG1gen; - bn128wasm.pG1zero = moduleBuilder.modules.bn128.pG1zero; - bn128wasm.pG1b = moduleBuilder.modules.bn128.pG1b; - bn128wasm.pG2gen = moduleBuilder.modules.bn128.pG2gen; - bn128wasm.pG2zero = moduleBuilder.modules.bn128.pG2zero; - bn128wasm.pG2b = moduleBuilder.modules.bn128.pG2b; - bn128wasm.pOneT = moduleBuilder.modules.bn128.pOneT; - bn128wasm.prePSize = moduleBuilder.modules.bn128.prePSize; - bn128wasm.preQSize = moduleBuilder.modules.bn128.preQSize; - bn128wasm.n8q = 32; - bn128wasm.n8r = 32; - bn128wasm.q = moduleBuilder.modules.bn128.q; - bn128wasm.r = moduleBuilder.modules.bn128.r; - - const params = { - name: "bn128", - wasm: bn128wasm, - q: e("21888242871839275222246405745257275088696311157297823662689037894645226208583"), - r: e("21888242871839275222246405745257275088548364400416034343698204186575808495617"), - n8q: 32, - n8r: 32, - cofactorG2: e("30644e72e131a029b85045b68181585e06ceecda572a2489345f2299c0f9fa8d", 16), - singleThread: singleThread ? true : false - }; - - const curve = await buildEngine(params); - curve.terminate = async function () { - if (!params.singleThread) { - globalThis.curve_bn128 = null; - await this.tm.terminate(); - } - }; - - if (!singleThread) { - globalThis.curve_bn128 = curve; - } - - return curve; -} - -globalThis.curve_bls12381 = null; - + if (!singleThread && curve_bn128) return curve_bn128; + let bn128wasm = {}; + if (!plugins) { + bn128wasm.code = base64ToUint8Array(code$2); + bn128wasm.pq = 488; + bn128wasm.pr = 488; + bn128wasm.pG1gen = pG1gen$1; + bn128wasm.pG1zero = pG1zero$1; + bn128wasm.pG1b = pG1b$1; + bn128wasm.pG2gen = pG2gen$1; + bn128wasm.pG2zero = pG2zero$1; + bn128wasm.pG2b = pG2b$1; + bn128wasm.pOneT = pOneT$1; + bn128wasm.prePSize = 192; + bn128wasm.preQSize = preQSize$1; + bn128wasm.n8q = 32; + bn128wasm.n8r = 32; + bn128wasm.q = q$1; + bn128wasm.r = r$1; + } else { + const { ModuleBuilder } = await import("wasmbuilder"); + const { buildBn128: buildBn128wasm } = await import("wasmcurves"); + const moduleBuilder = new ModuleBuilder(); + moduleBuilder.setMemory(25); + buildBn128wasm(moduleBuilder); + if (plugins) plugins(moduleBuilder); + bn128wasm.code = moduleBuilder.build(); + bn128wasm.pq = moduleBuilder.modules.f1m.pq; + bn128wasm.pr = moduleBuilder.modules.frm.pq; + bn128wasm.pG1gen = moduleBuilder.modules.bn128.pG1gen; + bn128wasm.pG1zero = moduleBuilder.modules.bn128.pG1zero; + bn128wasm.pG1b = moduleBuilder.modules.bn128.pG1b; + bn128wasm.pG2gen = moduleBuilder.modules.bn128.pG2gen; + bn128wasm.pG2zero = moduleBuilder.modules.bn128.pG2zero; + bn128wasm.pG2b = moduleBuilder.modules.bn128.pG2b; + bn128wasm.pOneT = moduleBuilder.modules.bn128.pOneT; + bn128wasm.prePSize = moduleBuilder.modules.bn128.prePSize; + bn128wasm.preQSize = moduleBuilder.modules.bn128.preQSize; + bn128wasm.n8q = 32; + bn128wasm.n8r = 32; + bn128wasm.q = moduleBuilder.modules.bn128.q; + bn128wasm.r = moduleBuilder.modules.bn128.r; + } + bn128wasm.batchCode = base64ToUint8Array(code$1); + bn128wasm.glv = true; + const params = { + name: "bn128", + wasm: bn128wasm, + q: e("21888242871839275222246405745257275088696311157297823662689037894645226208583"), + r: e("21888242871839275222246405745257275088548364400416034343698204186575808495617"), + n8q: 32, + n8r: 32, + cofactorG2: e("30644e72e131a029b85045b68181585e06ceecda572a2489345f2299c0f9fa8d", 16), + singleThread: singleThread ? true : false + }; + const curve = await buildEngine(params); + curve.terminate = async function() { + if (!params.singleThread) { + curve_bn128 = null; + await this.tm.terminate(); + } + }; + if (!singleThread) curve_bn128 = curve; + return curve; +} +//#endregion +//#region src/wasm/bls12381_wasm.js +var code = "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+var pG1b = 4776; +var pG1gen = 42968; +var pG1zero = 43112; +var pG2b = 17272; +var pG2gen = 43256; +var pG2zero = 43544; +var pOneT = 43832; +var pr = 3464; +var preQSize = 20448; +var q = "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787"; +var r = "52435875175126190479447740508185965837690552500527637822603658699938581184513"; +//#endregion +//#region src/bls12381.js +var curve_bls12381 = null; async function buildBls12381(singleThread, plugins) { - if ((!singleThread) && (globalThis.curve_bls12381)) return globalThis.curve_bls12381; - - const moduleBuilder = new ModuleBuilder(); - moduleBuilder.setMemory(25); - buildBls12381$1(moduleBuilder); - - if (plugins) plugins(moduleBuilder); - - const bls12381wasm = {}; - - bls12381wasm.code = moduleBuilder.build(); - bls12381wasm.pq = moduleBuilder.modules.f1m.pq; - bls12381wasm.pr = moduleBuilder.modules.frm.pq; - bls12381wasm.pG1gen = moduleBuilder.modules.bls12381.pG1gen; - bls12381wasm.pG1zero = moduleBuilder.modules.bls12381.pG1zero; - bls12381wasm.pG1b = moduleBuilder.modules.bls12381.pG1b; - bls12381wasm.pG2gen = moduleBuilder.modules.bls12381.pG2gen; - bls12381wasm.pG2zero = moduleBuilder.modules.bls12381.pG2zero; - bls12381wasm.pG2b = moduleBuilder.modules.bls12381.pG2b; - bls12381wasm.pOneT = moduleBuilder.modules.bls12381.pOneT; - bls12381wasm.prePSize = moduleBuilder.modules.bls12381.prePSize; - bls12381wasm.preQSize = moduleBuilder.modules.bls12381.preQSize; - bls12381wasm.n8q = 48; - bls12381wasm.n8r = 32; - bls12381wasm.q = moduleBuilder.modules.bls12381.q; - bls12381wasm.r = moduleBuilder.modules.bls12381.r; - - - const params = { - name: "bls12381", - wasm: bls12381wasm, - q: e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16), - r: e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16), - n8q: 48, - n8r: 32, - cofactorG1: e("0x396c8c005555e1568c00aaab0000aaab", 16), - cofactorG2: e("0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5", 16), - singleThread: singleThread ? true : false - }; - - const curve = await buildEngine(params); - curve.terminate = async function () { - if (!params.singleThread) { - globalThis.curve_bls12381 = null; - await this.tm.terminate(); - } - }; - - if (!singleThread) { - globalThis.curve_bls12381 = curve; - } - - return curve; -} - -const bls12381r = e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16); -const bn128r = e("21888242871839275222246405745257275088548364400416034343698204186575808495617"); - -const bls12381q = e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16); -const bn128q = e("21888242871839275222246405745257275088696311157297823662689037894645226208583"); - + if (!singleThread && curve_bls12381) return curve_bls12381; + const bls12381wasm = {}; + if (!plugins) { + bls12381wasm.code = base64ToUint8Array(code); + bls12381wasm.pq = 712; + bls12381wasm.pr = pr; + bls12381wasm.pG1gen = pG1gen; + bls12381wasm.pG1zero = pG1zero; + bls12381wasm.pG1b = pG1b; + bls12381wasm.pG2gen = pG2gen; + bls12381wasm.pG2zero = pG2zero; + bls12381wasm.pG2b = pG2b; + bls12381wasm.pOneT = pOneT; + bls12381wasm.prePSize = 288; + bls12381wasm.preQSize = preQSize; + bls12381wasm.n8q = 48; + bls12381wasm.n8r = 32; + bls12381wasm.q = q; + bls12381wasm.r = r; + } else { + const { ModuleBuilder } = await import("wasmbuilder"); + const { buildBls12381: buildBls12381wasm } = await import("wasmcurves"); + const moduleBuilder = new ModuleBuilder(); + moduleBuilder.setMemory(25); + buildBls12381wasm(moduleBuilder); + if (plugins) plugins(moduleBuilder); + bls12381wasm.code = moduleBuilder.build(); + bls12381wasm.pq = moduleBuilder.modules.f1m.pq; + bls12381wasm.pr = moduleBuilder.modules.frm.pq; + bls12381wasm.pG1gen = moduleBuilder.modules.bls12381.pG1gen; + bls12381wasm.pG1zero = moduleBuilder.modules.bls12381.pG1zero; + bls12381wasm.pG1b = moduleBuilder.modules.bls12381.pG1b; + bls12381wasm.pG2gen = moduleBuilder.modules.bls12381.pG2gen; + bls12381wasm.pG2zero = moduleBuilder.modules.bls12381.pG2zero; + bls12381wasm.pG2b = moduleBuilder.modules.bls12381.pG2b; + bls12381wasm.pOneT = moduleBuilder.modules.bls12381.pOneT; + bls12381wasm.prePSize = moduleBuilder.modules.bls12381.prePSize; + bls12381wasm.preQSize = moduleBuilder.modules.bls12381.preQSize; + bls12381wasm.n8q = 48; + bls12381wasm.n8r = 32; + bls12381wasm.q = moduleBuilder.modules.bls12381.q; + bls12381wasm.r = moduleBuilder.modules.bls12381.r; + } + bls12381wasm.batchCode = base64ToUint8Array(code$1); + bls12381wasm.glv = true; + const params = { + name: "bls12381", + wasm: bls12381wasm, + q: e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16), + r: e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16), + n8q: 48, + n8r: 32, + cofactorG1: e("0x396c8c005555e1568c00aaab0000aaab", 16), + cofactorG2: e("0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5", 16), + singleThread: singleThread ? true : false + }; + const curve = await buildEngine(params); + curve.terminate = async function() { + if (!params.singleThread) { + curve_bls12381 = null; + await this.tm.terminate(); + } + }; + if (!singleThread) curve_bls12381 = curve; + return curve; +} +//#endregion +//#region src/curves.js +var bls12381r = e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16); +var bn128r = e("21888242871839275222246405745257275088548364400416034343698204186575808495617"); +var bls12381q = e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16); +var bn128q = e("21888242871839275222246405745257275088696311157297823662689037894645226208583"); async function getCurveFromR(r, singleThread, plugins) { - let curve; - if (eq(r, bn128r)) { - curve = await buildBn128(singleThread, plugins); - } else if (eq(r, bls12381r)) { - curve = await buildBls12381(singleThread, plugins); - } else { - throw new Error(`Curve not supported: ${toString(r)}`); - } - return curve; + let curve; + if (eq(r, bn128r)) curve = await buildBn128(singleThread, plugins); + else if (eq(r, bls12381r)) curve = await buildBls12381(singleThread, plugins); + else throw new Error(`Curve not supported: ${toString(r)}`); + return curve; } - async function getCurveFromQ(q, singleThread, plugins) { - let curve; - if (eq(q, bn128q)) { - curve = await buildBn128(singleThread, plugins); - } else if (eq(q, bls12381q)) { - curve = await buildBls12381(singleThread, plugins); - } else { - throw new Error(`Curve not supported: ${toString(q, 16)}`); - } - return curve; + let curve; + if (eq(q, bn128q)) curve = await buildBn128(singleThread, plugins); + else if (eq(q, bls12381q)) curve = await buildBls12381(singleThread, plugins); + else throw new Error(`Curve not supported: ${toString(q, 16)}`); + return curve; } - async function getCurveFromName(name, singleThread, plugins) { - let curve; - const normName = normalizeName(name); - if (["BN128", "BN254", "ALTBN128"].indexOf(normName) >= 0) { - curve = await buildBn128(singleThread, plugins); - } else if (["BLS12381"].indexOf(normName) >= 0) { - curve = await buildBls12381(singleThread, plugins); - } else { - throw new Error(`Curve not supported: ${name}`); - } - return curve; - - function normalizeName(n) { - return n.toUpperCase().match(/[A-Za-z0-9]+/g).join(""); - } - -} - -const Scalar=_Scalar; -const utils = _utils; - -export { BigBuffer, ChaCha, EC, ZqField as F1Field, F2Field, F3Field, PolField, Scalar, ZqField, buildBls12381, buildBn128, getCurveFromName, getCurveFromQ, getCurveFromR, utils }; + let curve; + const normName = normalizeName(name); + if ([ + "BN128", + "BN254", + "ALTBN128" + ].indexOf(normName) >= 0) curve = await buildBn128(singleThread, plugins); + else if (["BLS12381"].indexOf(normName) >= 0) curve = await buildBls12381(singleThread, plugins); + else throw new Error(`Curve not supported: ${name}`); + return curve; + function normalizeName(n) { + return n.toUpperCase().match(/[A-Za-z0-9]+/g).join(""); + } +} +//#endregion +//#region main.js +var Scalar = scalar_exports; +var utils = utils_exports; +//#endregion +export { BigBuffer, ChaCha, EC, ZqField as F1Field, ZqField, F2Field, F3Field, PolField, Scalar, buildBls12381, buildBn128, getCurveFromName, getCurveFromQ, getCurveFromR, utils }; diff --git a/build/main.cjs b/build/main.cjs index 5bb247b..72a2d37 100644 --- a/build/main.cjs +++ b/build/main.cjs @@ -1,6007 +1,5234 @@ -'use strict'; - -var crypto = require('crypto'); -var wasmcurves = require('wasmcurves'); -var os = require('os'); -var Worker = require('web-worker'); -var wasmbuilder = require('wasmbuilder'); - -/* global BigInt */ -const hexLen = [ 0, 1, 2, 2, 3, 3, 3, 3, 4 ,4 ,4 ,4 ,4 ,4 ,4 ,4]; - +Object.defineProperty(exports, Symbol.toStringTag, { value: "Module" }); +//#region \0rolldown/runtime.js +var __create = Object.create; +var __defProp = Object.defineProperty; +var __getOwnPropDesc = Object.getOwnPropertyDescriptor; +var __getOwnPropNames = Object.getOwnPropertyNames; +var __getProtoOf = Object.getPrototypeOf; +var __hasOwnProp = Object.prototype.hasOwnProperty; +var __exportAll = (all, no_symbols) => { + let target = {}; + for (var name in all) __defProp(target, name, { + get: all[name], + enumerable: true + }); + if (!no_symbols) __defProp(target, Symbol.toStringTag, { value: "Module" }); + return target; +}; +var __copyProps = (to, from, except, desc) => { + if (from && typeof from === "object" || typeof from === "function") for (var keys = __getOwnPropNames(from), i = 0, n = keys.length, key; i < n; i++) { + key = keys[i]; + if (!__hasOwnProp.call(to, key) && key !== except) __defProp(to, key, { + get: ((k) => from[k]).bind(null, key), + enumerable: !(desc = __getOwnPropDesc(from, key)) || desc.enumerable + }); + } + return to; +}; +var __toESM = (mod, isNodeMode, target) => (target = mod != null ? __create(__getProtoOf(mod)) : {}, __copyProps(isNodeMode || !mod || !mod.__esModule ? __defProp(target, "default", { + value: mod, + enumerable: true +}) : target, mod)); +//#endregion +let crypto = require("crypto"); +crypto = __toESM(crypto, 1); +let os = require("os"); +os = __toESM(os, 1); +let web_worker = require("web-worker"); +web_worker = __toESM(web_worker, 1); +//#region src/scalar.js +var scalar_exports = /* @__PURE__ */ __exportAll({ + abs: () => abs, + add: () => add, + band: () => band, + bitLength: () => bitLength, + bits: () => bits, + bor: () => bor, + bxor: () => bxor, + div: () => div, + e: () => e, + eq: () => eq, + exp: () => exp$1, + fromArray: () => fromArray, + fromRprBE: () => fromRprBE, + fromRprLE: () => fromRprLE, + fromString: () => fromString, + geq: () => geq, + gt: () => gt, + isNegative: () => isNegative, + isOdd: () => isOdd, + isZero: () => isZero, + land: () => land, + leq: () => leq, + lnot: () => lnot, + lor: () => lor, + lt: () => lt, + mod: () => mod, + mul: () => mul, + naf: () => naf, + neg: () => neg, + neq: () => neq, + one: () => one, + pow: () => pow, + shiftLeft: () => shiftLeft, + shiftRight: () => shiftRight, + shl: () => shl, + shr: () => shr, + square: () => square, + sub: () => sub, + toArray: () => toArray, + toLEBuff: () => toLEBuff, + toNumber: () => toNumber, + toRprBE: () => toRprBE, + toRprLE: () => toRprLE, + toString: () => toString, + zero: () => zero +}); +var hexLen = [ + 0, + 1, + 2, + 2, + 3, + 3, + 3, + 3, + 4, + 4, + 4, + 4, + 4, + 4, + 4, + 4 +]; function fromString(s, radix) { - if ((!radix)||(radix==10)) { - return BigInt(s); - } else if (radix==16) { - if (s.slice(0,2) == "0x") { - return BigInt(s); - } else { - return BigInt("0x"+s); - } - } + if (!radix || radix == 10) return BigInt(s); + else if (radix == 16) if (s.slice(0, 2) == "0x") return BigInt(s); + else return BigInt("0x" + s); } - -const e = fromString; - +var e = fromString; function fromArray(a, radix) { - let acc =BigInt(0); - radix = BigInt(radix); - for (let i=0; i> BigInt(n); + return BigInt(a) >> BigInt(n); } - -const shl = shiftLeft; -const shr = shiftRight; - +var shl = shiftLeft; +var shr = shiftRight; function isOdd(a) { - return (BigInt(a) & BigInt(1)) == BigInt(1); + return (BigInt(a) & BigInt(1)) == BigInt(1); } - - function naf(n) { - let E = BigInt(n); - const res = []; - while (E) { - if (E & BigInt(1)) { - const z = 2 - Number(E % BigInt(4)); - res.push( z ); - E = E - BigInt(z); - } else { - res.push( 0 ); - } - E = E >> BigInt(1); - } - return res; + let E = BigInt(n); + const res = []; + while (E) { + if (E & BigInt(1)) { + const z = 2 - Number(E % BigInt(4)); + res.push(z); + E = E - BigInt(z); + } else res.push(0); + E = E >> BigInt(1); + } + return res; } - - function bits(n) { - let E = BigInt(n); - const res = []; - while (E) { - if (E & BigInt(1)) { - res.push(1); - } else { - res.push( 0 ); - } - E = E >> BigInt(1); - } - return res; + let E = BigInt(n); + const res = []; + while (E) { + if (E & BigInt(1)) res.push(1); + else res.push(0); + E = E >> BigInt(1); + } + return res; } - function toNumber(s) { - if (s>BigInt(Number.MAX_SAFE_INTEGER )) { - throw new Error("Number too big"); - } - return Number(s); + if (s > BigInt(Number.MAX_SAFE_INTEGER)) throw new Error("Number too big"); + return Number(s); } - function toArray(s, radix) { - const res = []; - let rem = BigInt(s); - radix = BigInt(radix); - while (rem) { - res.unshift( Number(rem % radix)); - rem = rem / radix; - } - return res; + const res = []; + let rem = BigInt(s); + radix = BigInt(radix); + while (rem) { + res.unshift(Number(rem % radix)); + rem = rem / radix; + } + return res; } - - function add(a, b) { - return BigInt(a) + BigInt(b); + return BigInt(a) + BigInt(b); } - function sub(a, b) { - return BigInt(a) - BigInt(b); + return BigInt(a) - BigInt(b); } - function neg(a) { - return -BigInt(a); + return -BigInt(a); } - function mul(a, b) { - return BigInt(a) * BigInt(b); + return BigInt(a) * BigInt(b); } - function square(a) { - return BigInt(a) * BigInt(a); + return BigInt(a) * BigInt(a); } - function pow(a, b) { - return BigInt(a) ** BigInt(b); + return BigInt(a) ** BigInt(b); } - function exp$1(a, b) { - return BigInt(a) ** BigInt(b); + return BigInt(a) ** BigInt(b); } - function abs(a) { - return BigInt(a) >= 0 ? BigInt(a) : -BigInt(a); + return BigInt(a) >= 0 ? BigInt(a) : -BigInt(a); } - function div(a, b) { - return BigInt(a) / BigInt(b); + return BigInt(a) / BigInt(b); } - function mod(a, b) { - return BigInt(a) % BigInt(b); + return BigInt(a) % BigInt(b); } - function eq(a, b) { - return BigInt(a) == BigInt(b); + return BigInt(a) == BigInt(b); } - function neq(a, b) { - return BigInt(a) != BigInt(b); + return BigInt(a) != BigInt(b); } - function lt(a, b) { - return BigInt(a) < BigInt(b); + return BigInt(a) < BigInt(b); } - function gt(a, b) { - return BigInt(a) > BigInt(b); + return BigInt(a) > BigInt(b); } - function leq(a, b) { - return BigInt(a) <= BigInt(b); + return BigInt(a) <= BigInt(b); } - function geq(a, b) { - return BigInt(a) >= BigInt(b); + return BigInt(a) >= BigInt(b); } - function band(a, b) { - return BigInt(a) & BigInt(b); + return BigInt(a) & BigInt(b); } - function bor(a, b) { - return BigInt(a) | BigInt(b); + return BigInt(a) | BigInt(b); } - function bxor(a, b) { - return BigInt(a) ^ BigInt(b); + return BigInt(a) ^ BigInt(b); } - function land(a, b) { - return BigInt(a) && BigInt(b); + return BigInt(a) && BigInt(b); } - function lor(a, b) { - return BigInt(a) || BigInt(b); + return BigInt(a) || BigInt(b); } - function lnot(a) { - return !BigInt(a); + return !BigInt(a); } - -// Returns a buffer with Little Endian Representation function toRprLE(buff, o, e, n8) { - const s = "0000000" + e.toString(16); - const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8/4); - const l = (((s.length-7)*4 - 1) >> 5)+1; // Number of 32bit words; - for (let i=0; i> 5) + 1; + for (let i = 0; i < l; i++) v[i] = parseInt(s.substring(s.length - 8 * i - 8, s.length - 8 * i), 16); + for (let i = l; i < v.length; i++) v[i] = 0; + for (let i = v.length * 4; i < n8; i++) buff[i] = toNumber(band(shiftRight(e, i * 8), 255)); } - -// Returns a buffer with Big Endian Representation function toRprBE(buff, o, e, n8) { - const s = "0000000" + e.toString(16); - const v = new DataView(buff.buffer, buff.byteOffset + o, n8); - const l = (((s.length-7)*4 - 1) >> 5)+1; // Number of 32bit words; - for (let i=0; i> 5) + 1; + for (let i = 0; i < l; i++) v.setUint32(n8 - i * 4 - 4, parseInt(s.substring(s.length - 8 * i - 8, s.length - 8 * i), 16), false); + for (let i = 0; i < n8 / 4 - l; i++) v[i] = 0; } - -// Pases a buffer with Little Endian Representation function fromRprLE(buff, o, n8) { - n8 = n8 || buff.byteLength; - o = o || 0; - const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8/4); - const a = new Array(n8/4); - v.forEach( (ch,i) => a[a.length-i-1] = ch.toString(16).padStart(8,"0") ); - return fromString(a.join(""), 16); + n8 = n8 || buff.byteLength; + o = o || 0; + const v = new Uint32Array(buff.buffer, buff.byteOffset + o, n8 / 4); + const a = new Array(n8 / 4); + v.forEach((ch, i) => a[a.length - i - 1] = ch.toString(16).padStart(8, "0")); + return fromString(a.join(""), 16); } - -// Pases a buffer with Big Endian Representation function fromRprBE(buff, o, n8) { - n8 = n8 || buff.byteLength; - o = o || 0; - const v = new DataView(buff.buffer, buff.byteOffset + o, n8); - const a = new Array(n8/4); - for (let i=0; i. -*/ - -/* - This library does operations on polynomials with coefficients in a field F. - - A polynomial P(x) = p0 + p1 * x + p2 * x^2 + ... + pn * x^n is represented - by the array [ p0, p1, p2, ... , pn ]. - */ - -class PolField { - constructor (F) { - this.F = F; - - let rem = F.sqrt_t; - let s = F.sqrt_s; - - 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.pow(five, rem); - this.wi[s] = this.F.inv(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--; - } - - - this.roots = []; -/* for (let i=0; i<16; i++) { - let r = this.F.one; - n = 1 << i; - const rootsi = new Array(n); - for (let j=0; j this.F.sqrt_s) n = this.s; - for (let i=n; (i>=0) && (!this.roots[i]); i--) { - let r = this.F.one; - const nroots = 1 << i; - const rootsi = new Array(nroots); - for (let j=0; j a.length) { - [b, a] = [a, b]; - } - - if ((b.length <= 2) || (b.length < log2$2(a.length))) { - return this.mulNormal(a,b); - } else { - return this.mulFFT(a,b); - } - } - - mulNormal(a, b) { - let res = []; - for (let i=0; i0) { - const z = new Array(n).fill(this.F.zero); - return z.concat(p); - } else { - if (-n >= p.length) return []; - return p.slice(-n); - } - } - - eval2(p, x) { - let v = this.F.zero; - let ix = this.F.one; - for (let i=0; i> 1), - F.mul( - x, - _eval(p, newX, offset+step , step << 1, n >> 1))); - return res; - } - } - - lagrange(points) { - let roots = [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= this.F.one; - for (let i=0; i0 && this.F.eq(p[i], this.F.zero) ) i--; - return p.slice(0, i+1); - } - - eq(a, b) { - const pa = this.reduce(a); - const pb = this.reduce(b); - - if (pa.length != pb.length) return false; - 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; - v |= v >> 2; - v |= v >> 4; - v |= v >> 8; - v |= v >> 16; - v++; - return v; - } - - toString(p) { - const ap = this.normalize(p); - let S = ""; - for (let i=ap.length-1; i>=0; i--) { - if (!this.F.eq(p[i], this.F.zero)) { - if (S!="") S += " + "; - S = S + p[i].toString(10); - if (i>0) { - S = S + "x"; - if (i>1) { - S = S + "^" +i; - } - } - } - } - return S; - } - - normalize(p) { - const res = new Array(p.length); - for (let i=0; i - // rec = x^(k-2-scaleV)/ v - // - // res = x^m/v = x^(m + (2*k-2 - scaleV) - (2*k-2 - scaleV)) /v => - // res = rec * x^(m - (2*k-2 - scaleV)) => - // res = rec * x^(m - 2*k + 2 + scaleV) - - const rec = this._reciprocal(this.scaleX(v, scaleV), kbits); - const res = this.scaleX(rec, m - 2*k + 2 + scaleV); - - return res; - } - - div(_u, _v) { - if (_u.length < _v.length) return []; - const kbits = log2$2(_v.length-1)+1; - const k = 1 << kbits; - - const u = this.scaleX(_u, k-_v.length); - const v = this.scaleX(_v, k-_v.length); - - const n = v.length-1; - let m = u.length-1; - - const s = this._reciprocal(v, kbits); - let t; - if (m>2*n) { - t = this.sub(this.scaleX([this.F.one], 2*n), this.mul(s, v)); - } - - let q = []; - let rem = u; - let us, ut; - let finish = false; - - while (!finish) { - us = this.mul(rem, s); - q = this.add(q, this.scaleX(us, -2*n)); - - if ( m > 2*n ) { - ut = this.mul(rem, t); - rem = this.scaleX(ut, -2*n); - m = rem.length-1; - } else { - finish = true; - } - } - - return q; - } - - - // returns the ith nth-root of one - oneRoot(n, i) { - let nbits = log2$2(n-1)+1; - let res = this.F.one; - let r = i; - - if(i>=n) { - throw new Error("Given 'i' should be lower than 'n'"); - } - else if (1<0) { - if (r & 1 == 1) { - res = this.F.mul(res, this.w[nbits]); - } - r = r >> 1; - nbits --; - } - return res; - } - - computeVanishingPolinomial(bits, t) { - const m = 1 << bits; - return this.F.sub(this.F.pow(t, m), this.F.one); - } - - evaluateLagrangePolynomials(bits, t) { - const m= 1 << bits; - const tm = this.F.pow(t, m); - const u= new Array(m).fill(this.F.zero); - this._setRoots(bits); - const omega = this.w[bits]; - - if (this.F.eq(tm, this.F.one)) { - for (let i = 0; i < m; i++) { - if (this.F.eq(this.roots[bits][0],t)) { // i.e., t equals omega^i - u[i] = this.F.one; - return u; - } - } - } - - const z = this.F.sub(tm, this.F.one); - // let l = this.F.mul(z, this.F.pow(this.F.twoinv, m)); - let l = this.F.mul(z, this.F.inv(this.F.e(m))); - for (let i = 0; i < m; i++) { - u[i] = this.F.mul(l, this.F.inv(this.F.sub(t,this.roots[bits][i]))); - l = this.F.mul(l, omega); - } - - return u; - } - - log2(V) { - return log2$2(V); - } + const buff = new Uint8Array(Math.floor((bitLength(a) - 1) / 8) + 1); + toRprLE(buff, 0, a, buff.byteLength); + return buff; } - -function log2$2( 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 ) ); +var zero = e(0); +var one = e(1); +//#endregion +//#region src/polfield.js +var PolField = class { + constructor(F) { + this.F = F; + let rem = F.sqrt_t; + let s = F.sqrt_s; + 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.pow(five, rem); + this.wi[s] = this.F.inv(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--; + } + this.roots = []; + this._setRoots(15); + } + _setRoots(n) { + if (n > this.F.sqrt_s) n = this.s; + for (let i = n; i >= 0 && !this.roots[i]; i--) { + let r = this.F.one; + const nroots = 1 << i; + const rootsi = new Array(nroots); + for (let j = 0; j < nroots; j++) { + rootsi[j] = r; + r = this.F.mul(r, this.w[i]); + } + this.roots[i] = rootsi; + } + } + add(a, b) { + const m = Math.max(a.length, b.length); + const res = new Array(m); + for (let i = 0; i < m; i++) res[i] = this.F.add(a[i] || this.F.zero, b[i] || this.F.zero); + return this.reduce(res); + } + double(a) { + return this.add(a, a); + } + sub(a, b) { + const m = Math.max(a.length, b.length); + const res = new Array(m); + for (let i = 0; i < m; i++) res[i] = this.F.sub(a[i] || this.F.zero, b[i] || this.F.zero); + return this.reduce(res); + } + mulScalar(p, b) { + if (this.F.eq(b, this.F.zero)) return []; + if (this.F.eq(b, this.F.one)) return p; + const res = new Array(p.length); + for (let i = 0; i < p.length; i++) res[i] = this.F.mul(p[i], b); + return res; + } + mul(a, b) { + if (a.length == 0) return []; + if (b.length == 0) return []; + if (a.length == 1) return this.mulScalar(b, a[0]); + if (b.length == 1) return this.mulScalar(a, b[0]); + if (b.length > a.length) [b, a] = [a, b]; + if (b.length <= 2 || b.length < log2$2(a.length)) return this.mulNormal(a, b); + else return this.mulFFT(a, b); + } + mulNormal(a, b) { + let res = []; + for (let i = 0; i < b.length; i++) res = this.add(res, this.scaleX(this.mulScalar(a, b[i]), i)); + return res; + } + mulFFT(a, b) { + const bitsResult = log2$2(Math.max(a.length, b.length) - 1) + 2; + this._setRoots(bitsResult); + const m = 1 << bitsResult; + const ea = this.extend(a, m); + const eb = this.extend(b, m); + const ta = __fft$1(this, ea, bitsResult, 0, 1, false); + const tb = __fft$1(this, eb, bitsResult, 0, 1, false); + const tres = new Array(m); + for (let i = 0; i < m; i++) tres[i] = this.F.mul(ta[i], tb[i]); + const res = __fft$1(this, tres, bitsResult, 0, 1, true); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.F.mul(res[(m - i) % m], twoinvm); + return this.reduce(resn); + } + square(a) { + return this.mul(a, a); + } + scaleX(p, n) { + if (n == 0) return p; + else if (n > 0) return new Array(n).fill(this.F.zero).concat(p); + else { + if (-n >= p.length) return []; + return p.slice(-n); + } + } + eval2(p, x) { + let v = this.F.zero; + let ix = this.F.one; + for (let i = 0; i < p.length; i++) { + v = this.F.add(v, this.F.mul(p[i], ix)); + ix = this.F.mul(ix, x); + } + return v; + } + evaluate(p, x) { + const F = this.F; + if (p.length == 0) return F.zero; + const m = this._next2Power(p.length); + return _eval(this.extend(p, m), x, 0, 1, m); + function _eval(p, x, offset, step, n) { + if (n == 1) return p[offset]; + const newX = F.square(x); + return F.add(_eval(p, newX, offset, step << 1, n >> 1), F.mul(x, _eval(p, newX, offset + step, step << 1, n >> 1))); + } + } + lagrange(points) { + let roots = [this.F.one]; + for (let i = 0; i < points.length; i++) roots = this.mul(roots, [this.F.neg(points[i][0]), this.F.one]); + let sum = []; + for (let i = 0; i < points.length; i++) { + let mpol = this.ruffini(roots, points[i][0]); + const factor = this.F.mul(this.F.inv(this.evaluate(mpol, points[i][0])), points[i][1]); + mpol = this.mulScalar(mpol, factor); + sum = this.add(sum, mpol); + } + return sum; + } + fft(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + return __fft$1(this, ep, bits, 0, 1); + } + fft2(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + __bitReverse(ep, bits); + return __fft2(this, ep, bits); + } + ifft(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + const res = __fft$1(this, ep, bits, 0, 1); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.F.mul(res[(m - i) % m], twoinvm); + return resn; + } + ifft2(p) { + if (p.length <= 1) return p; + const bits = log2$2(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + const ep = this.extend(p, m); + __bitReverse(ep, bits); + const res = __fft2(this, ep, bits, 0, 1); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.F.mul(res[(m - i) % m], twoinvm); + return resn; + } + _fft(pall, bits, offset, step) { + /* c8 ignore start */ + const n = 1 << bits; + if (n == 1) return [pall[offset]]; + const ndiv2 = n >> 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 = this.F.one; + for (let i = 0; i < ndiv2; i++) { + out[i] = this.F.add(p1[i], this.F.mul(m, p2[i])); + out[i + ndiv2] = this.F.sub(p1[i], this.F.mul(m, p2[i])); + m = this.F.mul(m, this.w[bits]); + } + return out; + } + /* c8 ignore stop */ + extend(p, e) { + if (e == p.length) return p; + const z = new Array(e - p.length).fill(this.F.zero); + return p.concat(z); + } + reduce(p) { + if (p.length == 0) return p; + if (!this.F.eq(p[p.length - 1], this.F.zero)) return p; + let i = p.length - 1; + while (i > 0 && this.F.eq(p[i], this.F.zero)) i--; + return p.slice(0, i + 1); + } + eq(a, b) { + const pa = this.reduce(a); + const pb = this.reduce(b); + if (pa.length != pb.length) return false; + for (let i = 0; i < pb.length; i++) if (!this.F.eq(pa[i], pb[i])) return false; + return true; + } + ruffini(p, r) { + const res = new Array(p.length - 1); + res[res.length - 1] = p[p.length - 1]; + for (let i = res.length - 2; 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; + v |= v >> 2; + v |= v >> 4; + v |= v >> 8; + v |= v >> 16; + v++; + return v; + } + toString(p) { + const ap = this.normalize(p); + let S = ""; + for (let i = ap.length - 1; i >= 0; i--) if (!this.F.eq(p[i], this.F.zero)) { + if (S != "") S += " + "; + S = S + p[i].toString(10); + if (i > 0) { + S = S + "x"; + if (i > 1) S = S + "^" + i; + } + } + return S; + } + normalize(p) { + const res = new Array(p.length); + for (let i = 0; i < p.length; i++) res[i] = this.F.normalize(p[i]); + return res; + } + _reciprocal(p, bits) { + const k = 1 << bits; + if (k == 1) return [this.F.inv(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)); + } + _div2(m, v) { + const kbits = log2$2(v.length - 1) + 1; + const k = 1 << kbits; + const scaleV = k - v.length; + const rec = this._reciprocal(this.scaleX(v, scaleV), kbits); + return this.scaleX(rec, m - 2 * k + 2 + scaleV); + } + div(_u, _v) { + if (_u.length < _v.length) return []; + const kbits = log2$2(_v.length - 1) + 1; + const k = 1 << kbits; + const u = this.scaleX(_u, k - _v.length); + const v = this.scaleX(_v, k - _v.length); + const n = v.length - 1; + let m = u.length - 1; + const s = this._reciprocal(v, kbits); + let t; + if (m > 2 * n) t = this.sub(this.scaleX([this.F.one], 2 * n), this.mul(s, v)); + let q = []; + let rem = u; + let us, ut; + let finish = false; + while (!finish) { + us = this.mul(rem, s); + q = this.add(q, this.scaleX(us, -2 * n)); + if (m > 2 * n) { + ut = this.mul(rem, t); + rem = this.scaleX(ut, -2 * n); + m = rem.length - 1; + } else finish = true; + } + return q; + } + oneRoot(n, i) { + let nbits = log2$2(n - 1) + 1; + let res = this.F.one; + let r = i; + if (i >= n) throw new Error("Given 'i' should be lower than 'n'"); + else if (1 << nbits !== n) + /* c8 ignore start */ + throw new Error(`Internal errlr: ${n} should equal ${1 << nbits}`); + /* c8 ignore stop */ + while (r > 0) { + if (r & true) res = this.F.mul(res, this.w[nbits]); + r = r >> 1; + nbits--; + } + return res; + } + computeVanishingPolinomial(bits, t) { + const m = 1 << bits; + return this.F.sub(this.F.pow(t, m), this.F.one); + } + evaluateLagrangePolynomials(bits, t) { + const m = 1 << bits; + const tm = this.F.pow(t, m); + const u = new Array(m).fill(this.F.zero); + this._setRoots(bits); + const omega = this.w[bits]; + if (this.F.eq(tm, this.F.one)) { + /* c8 ignore start */ + for (let i = 0; i < m; i++) if (this.F.eq(this.roots[bits][0], t)) { + u[i] = this.F.one; + return u; + } + } + /* c8 ignore stop */ + const z = this.F.sub(tm, this.F.one); + let l = this.F.mul(z, this.F.inv(this.F.e(m))); + for (let i = 0; i < m; i++) { + u[i] = this.F.mul(l, this.F.inv(this.F.sub(t, this.roots[bits][i]))); + l = this.F.mul(l, omega); + } + return u; + } + log2(V) { + /* c8 ignore start */ + return log2$2(V); + } +}; +function log2$2(V) { + return ((V & 4294901760) !== 0 ? (V &= 4294901760, 16) : 0) | ((V & 4278255360) !== 0 ? (V &= 4278255360, 8) : 0) | ((V & 4042322160) !== 0 ? (V &= 4042322160, 4) : 0) | ((V & 3435973836) !== 0 ? (V &= 3435973836, 2) : 0) | (V & 2863311530) !== 0; } - - function __fft$1(PF, pall, bits, offset, step) { - - const n = 1 << bits; - if (n==1) { - return [ pall[offset] ]; - } else if (n==2) { - return [ - PF.F.add(pall[offset], pall[offset + step]), - PF.F.sub(pall[offset], pall[offset + step])]; - } - - const ndiv2 = n >> 1; - const p1 = __fft$1(PF, pall, bits-1, offset, step*2); - const p2 = __fft$1(PF, pall, bits-1, offset+step, step*2); - - const out = new Array(n); - - for (let i=0; i> 1; + const p1 = __fft$1(PF, pall, bits - 1, offset, step * 2); + const p2 = __fft$1(PF, pall, bits - 1, offset + step, step * 2); + const out = new Array(n); + for (let i = 0; i < ndiv2; i++) { + out[i] = PF.F.add(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + out[i + ndiv2] = PF.F.sub(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + } + return out; } - - function __fft2(PF, pall, bits) { - - const n = 1 << bits; - if (n==1) { - return [ pall[0] ]; - } - - const ndiv2 = n >> 1; - const p1 = __fft2(PF, pall.slice(0, ndiv2), bits-1); - const p2 = __fft2(PF, pall.slice(ndiv2), bits-1); - - const out = new Array(n); - - for (let i=0; i> 1; + const p1 = __fft2(PF, pall.slice(0, ndiv2), bits - 1); + const p2 = __fft2(PF, pall.slice(ndiv2), bits - 1); + const out = new Array(n); + for (let i = 0; i < ndiv2; i++) { + out[i] = PF.F.add(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + out[i + ndiv2] = PF.F.sub(p1[i], PF.F.mul(PF.roots[bits][i], p2[i])); + } + return out; } - +var _revTable$1 = []; +for (let i = 0; i < 256; i++) _revTable$1[i] = _revSlow$1(i, 8); function _revSlow$1(idx, bits) { - let res =0; - let a = idx; - for (let i=0; i>=1; - } - return res; + let res = 0; + let a = idx; + for (let i = 0; i < bits; i++) { + res <<= 1; + res = res | a & 1; + a >>= 1; + } + return res; } - function rev(idx, bits) { - return ( - _revTable$1[idx >>> 24] | - (_revTable$1[(idx >>> 16) & 0xFF] << 8) | - (_revTable$1[(idx >>> 8) & 0xFF] << 16) | - (_revTable$1[idx & 0xFF] << 24) - ) >>> (32-bits); + return (_revTable$1[idx >>> 24] | _revTable$1[idx >>> 16 & 255] << 8 | _revTable$1[idx >>> 8 & 255] << 16 | _revTable$1[idx & 255] << 24) >>> 32 - bits; } - function __bitReverse(p, bits) { - for (let k=0; kk) { - const tmp= p[k]; - p[k] = p[r]; - p[r] = tmp; - } - } - + for (let k = 0; k < p.length; k++) { + const r = rev(k, bits); + if (r > k) { + const tmp = p[k]; + p[k] = p[r]; + p[r] = tmp; + } + } } - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - - +//#endregion +//#region src/futils.js function mulScalar(F, base, e) { - let res; - - if (isZero(e)) return F.zero; - - const n = naf(e); - - if (n[n.length-1] == 1) { - res = base; - } else if (n[n.length-1] == -1) { - res = F.neg(base); - } else { - throw new Error("invlaud NAF"); - } - - for (let i=n.length-2; i>=0; i--) { - - res = F.double(res); - - if (n[i] == 1) { - res = F.add(res, base); - } else if (n[i] == -1) { - res = F.sub(res, base); - } - } - - return res; + let res; + if (isZero(e)) return F.zero; + const n = naf(e); + if (n[n.length - 1] == 1) res = base; + else if (n[n.length - 1] == -1) + /* c8 ignore start */ + res = F.neg(base); + else throw new Error("invlaud NAF"); + /* c8 ignore stop */ + for (let i = n.length - 2; i >= 0; i--) { + res = F.double(res); + if (n[i] == 1) res = F.add(res, base); + else if (n[i] == -1) res = F.sub(res, base); + } + return res; } - - -/* -exports.mulScalar = (F, base, e) =>{ - let res = F.zero; - let rem = bigInt(e); - let exp = base; - - while (! rem.eq(bigInt.zero)) { - if (rem.and(bigInt.one).eq(bigInt.one)) { - res = F.add(res, exp); - } - exp = F.double(exp); - rem = rem.shiftRight(1); - } - - return res; -}; -*/ - - function exp(F, base, e) { - - if (isZero(e)) return F.one; - - const n = bits(e); - - if (n.length==0) return F.one; - - let res = base; - - for (let i=n.length-2; i>=0; i--) { - - res = F.square(res); - - if (n[i]) { - res = F.mul(res, base); - } - } - - return res; + if (isZero(e)) return F.one; + const n = bits(e); + if (n.length == 0) return F.one; + let res = base; + for (let i = n.length - 2; i >= 0; i--) { + res = F.square(res); + if (n[i]) res = F.mul(res, base); + } + return res; } - -// Check here: https://eprint.iacr.org/2012/685.pdf - -function buildSqrt (F) { - if ((F.m % 2) == 1) { - if (eq(mod(F.p, 4), 1 )) { - if (eq(mod(F.p, 8), 1 )) { - if (eq(mod(F.p, 16), 1 )) { - // alg7_muller(F); - alg5_tonelliShanks(F); - } else if (eq(mod(F.p, 16), 9 )) { - alg4_kong(F); - } else { - throw new Error("Field withot sqrt"); - } - } else if (eq(mod(F.p, 8), 5 )) { - alg3_atkin(F); - } else { - throw new Error("Field withot sqrt"); - } - } else if (eq(mod(F.p, 4), 3 )) { - alg2_shanks(F); - } - } else { - const pm2mod4 = mod(pow(F.p, F.m/2), 4); - if (pm2mod4 == 1) { - alg10_adj(F); - } else if (pm2mod4 == 3) { - alg9_adj(F); - } else { - alg8_complex(F); - } - - } +//#endregion +//#region src/fsqrt.js +function buildSqrt(F) { + if (F.m % 2 == 1) { + if (eq(mod(F.p, 4), 1)) if (eq(mod(F.p, 8), 1)) if (eq(mod(F.p, 16), 1)) alg5_tonelliShanks(F); + else if (eq(mod(F.p, 16), 9)) alg4_kong(F); + else + /* c8 ignore start */ + throw new Error("Field withot sqrt"); + else if (eq(mod(F.p, 8), 5)) alg3_atkin(F); + else + /* c8 ignore start */ + throw new Error("Field withot sqrt"); + else if (eq(mod(F.p, 4), 3)) alg2_shanks(F); + } else { + const pm2mod4 = mod(pow(F.p, F.m / 2), 4); + if (pm2mod4 == 1) alg10_adj(F); + else if (pm2mod4 == 3) alg9_adj(F); + else + /* c8 ignore start */ + alg8_complex(F); + } } - - function alg5_tonelliShanks(F) { - F.sqrt_q = pow(F.p, F.m); - - F.sqrt_s = 0; - F.sqrt_t = sub(F.sqrt_q, 1); - - while (!isOdd(F.sqrt_t)) { - F.sqrt_s = F.sqrt_s + 1; - F.sqrt_t = div(F.sqrt_t, 2); - } - - let c0 = F.one; - - while (F.eq(c0, F.one)) { - const c = F.random(); - F.sqrt_z = F.pow(c, F.sqrt_t); - c0 = F.pow(F.sqrt_z, 2 ** (F.sqrt_s-1) ); - } - - F.sqrt_tm1d2 = div(sub(F.sqrt_t, 1),2); - - F.sqrt = function(a) { - const F=this; - if (F.isZero(a)) return F.zero; - let w = F.pow(a, F.sqrt_tm1d2); - const a0 = F.pow( F.mul(F.square(w), a), 2 ** (F.sqrt_s-1) ); - if (F.eq(a0, F.negone)) return null; - - let v = F.sqrt_s; - let x = F.mul(a, w); - let b = F.mul(x, w); - let z = F.sqrt_z; - while (!F.eq(b, F.one)) { - let b2k = F.square(b); - let k=1; - while (!F.eq(b2k, F.one)) { - b2k = F.square(b2k); - k++; - } - - w = z; - for (let i=0; i>> 0; - st[d] = (st[d] ^ st[a]) >>> 0; - st[d] = ((st[d] << 16) | ((st[d]>>>16) & 0xFFFF)) >>> 0; - - st[c] = (st[c] + st[d]) >>> 0; - st[b] = (st[b] ^ st[c]) >>> 0; - st[b] = ((st[b] << 12) | ((st[b]>>>20) & 0xFFF)) >>> 0; - - st[a] = (st[a] + st[b]) >>> 0; - st[d] = (st[d] ^ st[a]) >>> 0; - st[d] = ((st[d] << 8) | ((st[d]>>>24) & 0xFF)) >>> 0; - - st[c] = (st[c] + st[d]) >>> 0; - st[b] = (st[b] ^ st[c]) >>> 0; - st[b] = ((st[b] << 7) | ((st[b]>>>25) & 0x7F)) >>> 0; + st[a] = st[a] + st[b] >>> 0; + st[d] = (st[d] ^ st[a]) >>> 0; + st[d] = (st[d] << 16 | st[d] >>> 16 & 65535) >>> 0; + st[c] = st[c] + st[d] >>> 0; + st[b] = (st[b] ^ st[c]) >>> 0; + st[b] = (st[b] << 12 | st[b] >>> 20 & 4095) >>> 0; + st[a] = st[a] + st[b] >>> 0; + st[d] = (st[d] ^ st[a]) >>> 0; + st[d] = (st[d] << 8 | st[d] >>> 24 & 255) >>> 0; + st[c] = st[c] + st[d] >>> 0; + st[b] = (st[b] ^ st[c]) >>> 0; + st[b] = (st[b] << 7 | st[b] >>> 25 & 127) >>> 0; } - function doubleRound(st) { - quarterRound(st, 0, 4, 8,12); - quarterRound(st, 1, 5, 9,13); - quarterRound(st, 2, 6,10,14); - quarterRound(st, 3, 7,11,15); - - quarterRound(st, 0, 5,10,15); - quarterRound(st, 1, 6,11,12); - quarterRound(st, 2, 7, 8,13); - quarterRound(st, 3, 4, 9,14); + quarterRound(st, 0, 4, 8, 12); + quarterRound(st, 1, 5, 9, 13); + quarterRound(st, 2, 6, 10, 14); + quarterRound(st, 3, 7, 11, 15); + quarterRound(st, 0, 5, 10, 15); + quarterRound(st, 1, 6, 11, 12); + quarterRound(st, 2, 7, 8, 13); + quarterRound(st, 3, 4, 9, 14); } - -class ChaCha { - - constructor(seed) { - seed = seed || [0,0,0,0,0,0,0,0]; - this.state = [ - 0x61707865, - 0x3320646E, - 0x79622D32, - 0x6B206574, - seed[0], - seed[1], - seed[2], - seed[3], - seed[4], - seed[5], - seed[6], - seed[7], - 0, - 0, - 0, - 0 - ]; - this.idx = 16; - this.buff = new Array(16); - } - - nextU32() { - if (this.idx == 16) this.update(); - return this.buff[this.idx++]; - } - - nextU64() { - return add(mul(this.nextU32(), 0x100000000), this.nextU32()); - } - - nextBool() { - return (this.nextU32() & 1) == 1; - } - - update() { - // Copy the state - for (let i=0; i<16; i++) this.buff[i] = this.state[i]; - - // Apply the rounds - for (let i=0; i<10; i++) doubleRound(this.buff); - - // Add to the initial - for (let i=0; i<16; i++) this.buff[i] = (this.buff[i] + this.state[i]) >>> 0; - - this.idx = 0; - - this.state[12] = (this.state[12] + 1) >>> 0; - if (this.state[12] != 0) return; - this.state[13] = (this.state[13] + 1) >>> 0; - if (this.state[13] != 0) return; - this.state[14] = (this.state[14] + 1) >>> 0; - if (this.state[14] != 0) return; - this.state[15] = (this.state[15] + 1) >>> 0; - } -} - +var ChaCha = class { + constructor(seed) { + seed = seed || [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ]; + this.state = [ + 1634760805, + 857760878, + 2036477234, + 1797285236, + seed[0], + seed[1], + seed[2], + seed[3], + seed[4], + seed[5], + seed[6], + seed[7], + 0, + 0, + 0, + 0 + ]; + this.idx = 16; + this.buff = new Array(16); + } + nextU32() { + if (this.idx == 16) this.update(); + return this.buff[this.idx++]; + } + nextU64() { + return add(mul(this.nextU32(), 4294967296), this.nextU32()); + } + nextBool() { + return (this.nextU32() & 1) == 1; + } + update() { + for (let i = 0; i < 16; i++) this.buff[i] = this.state[i]; + for (let i = 0; i < 10; i++) doubleRound(this.buff); + for (let i = 0; i < 16; i++) this.buff[i] = this.buff[i] + this.state[i] >>> 0; + this.idx = 0; + this.state[12] = this.state[12] + 1 >>> 0; + if (this.state[12] != 0) return; + /* c8 ignore start */ + this.state[13] = this.state[13] + 1 >>> 0; + if (this.state[13] != 0) return; + this.state[14] = this.state[14] + 1 >>> 0; + if (this.state[14] != 0) return; + this.state[15] = this.state[15] + 1 >>> 0; + /* c8 ignore stop */ + } +}; +//#endregion +//#region src/random.js function getRandomBytes(n) { - let array = new Uint8Array(n); - if (process.browser) { // Browser - if (typeof globalThis.crypto !== "undefined") { // Supported - globalThis.crypto.getRandomValues(array); - } else { // fallback - for (let i=0; i>>0; - } - } - } - else { // NodeJS - crypto.randomFillSync(array); - } - return array; + let array = new Uint8Array(n); + if (crypto.default && crypto.default.randomFillSync) crypto.default.randomFillSync(array); + else if (typeof globalThis.crypto !== "undefined" && globalThis.crypto.getRandomValues) for (let i = 0; i < n; i += 65536) globalThis.crypto.getRandomValues(array.subarray(i, Math.min(i + 65536, n))); + else for (let i = 0; i < n; i++) array[i] = Math.random() * 4294967296 >>> 0; + return array; } - function getRandomSeed() { - const arr = getRandomBytes(32); - const arrV = new Uint32Array(arr.buffer); - const seed = []; - for (let i=0; i<8; i++) { - seed.push(arrV[i]); - } - return seed; + const arr = getRandomBytes(32); + const arrV = new Uint32Array(arr.buffer); + const seed = []; + for (let i = 0; i < 8; i++) seed.push(arrV[i]); + return seed; } - -let threadRng = null; - +var threadRng = null; function getThreadRng() { - if (threadRng) return threadRng; - threadRng = new ChaCha(getRandomSeed()); - return threadRng; + if (threadRng) return threadRng; + threadRng = new ChaCha(getRandomSeed()); + return threadRng; } - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - -/* - This library does operations on polynomials with coefficients in a field F. - - A polynomial P(x) = p0 + p1 * x + p2 * x^2 + ... + pn * x^n is represented - by the array [ p0, p1, p2, ... , pn ]. - */ - -class FFT { - constructor (G, F, opMulGF) { - this.F = F; - this.G = G; - this.opMulGF = opMulGF; - - let rem = F.sqrt_t || F.t; - let s = F.sqrt_s || F.s; - - let nqr = F.one; - while (F.eq(F.pow(nqr, F.half), F.one)) nqr = F.add(nqr, F.one); - - this.w = new Array(s+1); - this.wi = new Array(s+1); - this.w[s] = this.F.pow(nqr, rem); - this.wi[s] = this.F.inv(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--; - } - - - this.roots = []; - /* - for (let i=0; i<16; i++) { - let r = this.F.one; - n = 1 << i; - const rootsi = new Array(n); - for (let j=0; j=0) && (!this.roots[i]); i--) { - let r = this.F.one; - const nroots = 1 << i; - const rootsi = new Array(nroots); - for (let j=0; j= 0) { + this.w[n] = this.F.square(this.w[n + 1]); + this.wi[n] = this.F.square(this.wi[n + 1]); + n--; + } + this.roots = []; + this._setRoots(Math.min(s, 15)); + } + _setRoots(n) { + for (let i = n; i >= 0 && !this.roots[i]; i--) { + let r = this.F.one; + const nroots = 1 << i; + const rootsi = new Array(nroots); + for (let j = 0; j < nroots; j++) { + rootsi[j] = r; + r = this.F.mul(r, this.w[i]); + } + this.roots[i] = rootsi; + } + } + fft(p) { + if (p.length <= 1) return p; + const bits = log2$1(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + if (p.length != m) + /* c8 ignore start */ + throw new Error("Size must be multiple of 2"); + return __fft(this, p, bits, 0, 1); + } + ifft(p) { + if (p.length <= 1) return p; + const bits = log2$1(p.length - 1) + 1; + this._setRoots(bits); + const m = 1 << bits; + if (p.length != m) + /* c8 ignore start */ + throw new Error("Size must be multiple of 2"); + /* c8 ignore stop */ + const res = __fft(this, p, bits, 0, 1); + const twoinvm = this.F.inv(this.F.mulScalar(this.F.one, m)); + const resn = new Array(m); + for (let i = 0; i < m; i++) resn[i] = this.opMulGF(res[(m - i) % m], twoinvm); + return resn; + } +}; +function log2$1(V) { + return ((V & 4294901760) !== 0 ? (V &= 4294901760, 16) : 0) | ((V & 4278255360) !== 0 ? (V &= 4278255360, 8) : 0) | ((V & 4042322160) !== 0 ? (V &= 4042322160, 4) : 0) | ((V & 3435973836) !== 0 ? (V &= 3435973836, 2) : 0) | (V & 2863311530) !== 0; } - - function __fft(PF, pall, bits, offset, step) { - - const n = 1 << bits; - if (n==1) { - return [ pall[offset] ]; - } else if (n==2) { - return [ - PF.G.add(pall[offset], pall[offset + step]), - PF.G.sub(pall[offset], pall[offset + step])]; - } - - const ndiv2 = n >> 1; - const p1 = __fft(PF, pall, bits-1, offset, step*2); - const p2 = __fft(PF, pall, bits-1, offset+step, step*2); - - const out = new Array(n); - - for (let i=0; i> this.one; - this.bitLength = bitLength(this.p); - this.mask = (this.one << BigInt(this.bitLength)) - this.one; - - this.n64 = Math.floor((this.bitLength - 1) / 64)+1; - this.n32 = this.n64*2; - this.n8 = this.n64*8; - this.R = this.e(this.one << BigInt(this.n64*64)); - this.Ri = this.inv(this.R); - - const e = this.negone >> this.one; - this.nqr = this.two; - let r = this.pow(this.nqr, e); - while (!this.eq(r, this.negone)) { - this.nqr = this.nqr + this.one; - r = this.pow(this.nqr, e); - } - - - this.s = 0; - this.t = this.negone; - - while ((this.t & this.one) == this.zero) { - this.s = this.s + 1; - this.t = this.t >> this.one; - } - - this.nqr_to_t = this.pow(this.nqr, this.t); - - buildSqrt(this); - - this.FFT = new FFT(this, this, this.mul.bind(this)); - - this.fft = this.FFT.fft.bind(this.FFT); - this.ifft = this.FFT.ifft.bind(this.FFT); - this.w = this.FFT.w; - this.wi = this.FFT.wi; - - this.shift = this.square(this.nqr); - this.k = this.exp(this.nqr, 2**this.s); - } - - e(a,b) { - let res; - if (!b) { - res = BigInt(a); - } else if (b==16) { - res = BigInt("0x"+a); - } - if (res < 0) { - let nres = -res; - if (nres >= this.p) nres = nres % this.p; - return this.p - nres; - } else { - return (res>= this.p) ? res%this.p : res; - } - - } - - add(a, b) { - const res = a + b; - return res >= this.p ? res-this.p : res; - } - - sub(a, b) { - return (a >= b) ? a-b : this.p-b+a; - } - - neg(a) { - return a ? this.p-a : a; - } - - mul(a, b) { - return (a*b)%this.p; - } - - mulScalar(base, s) { - return (base * this.e(s)) % this.p; - } - - square(a) { - return (a*a) % this.p; - } - - eq(a, b) { - return a==b; - } - - neq(a, b) { - return a!=b; - } - - lt(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa < bb; - } - - gt(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa > bb; - } - - leq(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa <= bb; - } - - geq(a, b) { - const aa = (a > this.half) ? a - this.p : a; - const bb = (b > this.half) ? b - this.p : b; - return aa >= bb; - } - - div(a, b) { - return this.mul(a, this.inv(b)); - } - - idiv(a, b) { - if (!b) throw new Error("Division by zero"); - return a / b; - } - - inv(a) { - if (!a) throw new Error("Division by zero"); - - let t = this.zero; - let r = this.p; - let newt = this.one; - let newr = a % this.p; - while (newr) { - let q = r/newr; - [t, newt] = [newt, t-q*newt]; - [r, newr] = [newr, r-q*newr]; - } - if (t= this.p ? res-this.p : res; - } - - bor(a, b) { - const res = ((a | b) & this.mask); - return res >= this.p ? res-this.p : res; - } - - bxor(a, b) { - const res = ((a ^ b) & this.mask); - return res >= this.p ? res-this.p : res; - } - - bnot(a) { - const res = a ^ this.mask; - return res >= this.p ? res-this.p : res; - } - - shl(a, b) { - if (Number(b) < this.bitLength) { - const res = (a << b) & this.mask; - return res >= this.p ? res-this.p : res; - } else { - const nb = this.p - b; - if (Number(nb) < this.bitLength) { - return a >> nb; - } else { - return this.zero; - } - } - } - - shr(a, b) { - if (Number(b) < this.bitLength) { - return a >> b; - } else { - const nb = this.p - b; - if (Number(nb) < this.bitLength) { - const res = (a << nb) & this.mask; - return res >= this.p ? res-this.p : res; - } else { - return 0; - } - } - } - - land(a, b) { - return (a && b) ? this.one : this.zero; - } - - lor(a, b) { - return (a || b) ? this.one : this.zero; - } - - lnot(a) { - return (a) ? this.zero : this.one; - } - - sqrt_old(n) { - - if (n == this.zero) return this.zero; - - // Test that have solution - const res = this.pow(n, this.negone >> this.one); - if ( res != this.one ) return null; - - let m = this.s; - let c = this.nqr_to_t; - let t = this.pow(n, this.t); - let r = this.pow(n, this.add(this.t, this.one) >> this.one ); - - while ( t != this.one ) { - let sq = this.square(t); - let i = 1; - while (sq != this.one ) { - i++; - sq = this.square(sq); - } - - // b = c ^ m-i-1 - let b = c; - for (let j=0; j< m-i-1; j ++) b = this.square(b); - - m = i; - c = this.square(b); - t = this.mul(t, c); - r = this.mul(r, b); - } - - if (r > (this.p >> this.one)) { - r = this.neg(r); - } - - return r; - } - - normalize(a, b) { - a = BigInt(a,b); - if (a < 0) { - let na = -a; - if (na >= this.p) na = na % this.p; - return this.p - na; - } else { - return (a>= this.p) ? a%this.p : a; - } - } - - random() { - const nBytes = (this.bitLength*2 / 8); - let res =this.zero; - for (let i=0; i this.half)&&(base == 10)) { - const v = this.p-a; - vs = "-"+v.toString(base); - } else { - vs = a.toString(base); - } - return vs; - } - - isZero(a) { - return a == this.zero; - } - - fromRng(rng) { - let v; - do { - v=this.zero; - for (let i=0; i= this.p); - v = (v * this.Ri) % this.p; // Convert from montgomery - return v; - } - - fft(a) { - return this.FFT.fft(a); - } - - ifft(a) { - return this.FFT.ifft(a); - } - - // Returns a buffer with Little Endian Representation - toRprLE(buff, o, e) { - toRprLE(buff, o, e, this.n64*8); - } - - // Returns a buffer with Big Endian Representation - toRprBE(buff, o, e) { - toRprBE(buff, o, e, this.n64*8); - } - - // Returns a buffer with Big Endian Montgomery Representation - toRprBEM(buff, o, e) { - return this.toRprBE(buff, o, this.mul(this.R, e)); - } - - toRprLEM(buff, o, e) { - return this.toRprLE(buff, o, this.mul(this.R, e)); - } - - - // Pases a buffer with Little Endian Representation - fromRprLE(buff, o) { - return fromRprLE(buff, o, this.n8); - } - - // Pases a buffer with Big Endian Representation - fromRprBE(buff, o) { - return fromRprBE(buff, o, this.n8); - } - - fromRprLEM(buff, o) { - return this.mul(this.fromRprLE(buff, o), this.Ri); - } - - fromRprBEM(buff, o) { - return this.mul(this.fromRprBE(buff, o), this.Ri); - } - - toObject(a) { - return a; - } -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - -class F2Field { - constructor(F, nonResidue) { - this.type="F2"; - this.F = F; - this.zero = [this.F.zero, this.F.zero]; - this.one = [this.F.one, this.F.zero]; - this.negone = this.neg(this.one); - this.nonResidue = nonResidue; - this.m = F.m*2; - this.p = F.p; - this.n64 = F.n64*2; - this.n32 = this.n64*2; - this.n8 = this.n64*8; - - buildSqrt(this); - } - - _mulByNonResidue(a) { - return this.F.mul(this.nonResidue, a); - } - - copy(a) { - return [this.F.copy(a[0]), this.F.copy(a[1])]; - } - - add(a, b) { - return [ - this.F.add(a[0], b[0]), - this.F.add(a[1], b[1]) - ]; - } - - double(a) { - return this.add(a,a); - } - - sub(a, b) { - return [ - this.F.sub(a[0], b[0]), - this.F.sub(a[1], b[1]) - ]; - } - - neg(a) { - return this.sub(this.zero, a); - } - - conjugate(a) { - return [ - a[0], - this.F.neg(a[1]) - ]; - } - - mul(a, b) { - const aA = this.F.mul(a[0] , b[0]); - const bB = this.F.mul(a[1] , b[1]); - - return [ - this.F.add( aA , this._mulByNonResidue(bB)), - this.F.sub( - this.F.mul( - this.F.add(a[0], a[1]), - this.F.add(b[0], b[1])), - this.F.add(aA, bB))]; - } - - inv(a) { - const t0 = this.F.square(a[0]); - const t1 = this.F.square(a[1]); - const t2 = this.F.sub(t0, this._mulByNonResidue(t1)); - const t3 = this.F.inv(t2); - return [ - this.F.mul(a[0], t3), - this.F.neg(this.F.mul( a[1], t3)) ]; - } - - div(a, b) { - return this.mul(a, this.inv(b)); - } - - square(a) { - const ab = this.F.mul(a[0] , a[1]); - - /* - [ - (a + b) * (a + non_residue * b) - ab - non_residue * ab, - ab + ab - ]; - */ - - return [ - this.F.sub( - this.F.mul( - this.F.add(a[0], a[1]) , - this.F.add( - a[0] , - this._mulByNonResidue(a[1]))), - this.F.add( - ab, - this._mulByNonResidue(ab))), - this.F.add(ab, ab) - ]; - } - - isZero(a) { - return this.F.isZero(a[0]) && this.F.isZero(a[1]); - } - - eq(a, b) { - return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]); - } - - mulScalar(base, e) { - return mulScalar(this, base, e); - } - - pow(base, e) { - return exp(this, base, e); - } - - exp(base, e) { - return exp(this, base, e); - } - - toString(a) { - return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])} ]`; - } - - fromRng(rng) { - const c0 = this.F.fromRng(rng); - const c1 = this.F.fromRng(rng); - return [c0, c1]; - } - - gt(a, b) { - if (this.F.gt(a[0], b[0])) return true; - if (this.F.gt(b[0], a[0])) return false; - if (this.F.gt(a[1], b[1])) return true; - return false; - } - - geq(a, b) { - return this.gt(a, b) || this.eq(a, b); - } - - lt(a, b) { - return !this.geq(a,b); - } - - leq(a, b) { - return !this.gt(a,b); - } - - neq(a, b) { - return !this.eq(a,b); - } - - random() { - return [this.F.random(), this.F.random()]; - } - - - toRprLE(buff, o, e) { - this.F.toRprLE(buff, o, e[0]); - this.F.toRprLE(buff, o+this.F.n8, e[1]); - } - - toRprBE(buff, o, e) { - this.F.toRprBE(buff, o, e[1]); - this.F.toRprBE(buff, o+this.F.n8, e[0]); - } - - toRprLEM(buff, o, e) { - this.F.toRprLEM(buff, o, e[0]); - this.F.toRprLEM(buff, o+this.F.n8, e[1]); - } - - - toRprBEM(buff, o, e) { - this.F.toRprBEM(buff, o, e[1]); - this.F.toRprBEM(buff, o+this.F.n8, e[0]); - } - - fromRprLE(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLE(buff, o); - const c1 = this.F.fromRprLE(buff, o+this.F.n8); - return [c0, c1]; - } - - fromRprBE(buff, o) { - o = o || 0; - const c1 = this.F.fromRprBE(buff, o); - const c0 = this.F.fromRprBE(buff, o+this.F.n8); - return [c0, c1]; - } - - fromRprLEM(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLEM(buff, o); - const c1 = this.F.fromRprLEM(buff, o+this.F.n8); - return [c0, c1]; - } - - fromRprBEM(buff, o) { - o = o || 0; - const c1 = this.F.fromRprBEM(buff, o); - const c0 = this.F.fromRprBEM(buff, o+this.F.n8); - return [c0, c1]; - } - - toObject(a) { - return a; - } - -} - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - -class F3Field { - constructor(F, nonResidue) { - this.type="F3"; - this.F = F; - this.zero = [this.F.zero, this.F.zero, this.F.zero]; - this.one = [this.F.one, this.F.zero, this.F.zero]; - this.negone = this.neg(this.one); - this.nonResidue = nonResidue; - this.m = F.m*3; - this.p = F.p; - this.n64 = F.n64*3; - this.n32 = this.n64*2; - this.n8 = this.n64*8; - } - - _mulByNonResidue(a) { - return this.F.mul(this.nonResidue, a); - } - - copy(a) { - return [this.F.copy(a[0]), this.F.copy(a[1]), this.F.copy(a[2])]; - } - - add(a, b) { - return [ - this.F.add(a[0], b[0]), - this.F.add(a[1], b[1]), - this.F.add(a[2], b[2]) - ]; - } - - double(a) { - return this.add(a,a); - } - - sub(a, b) { - return [ - this.F.sub(a[0], b[0]), - this.F.sub(a[1], b[1]), - this.F.sub(a[2], b[2]) - ]; - } - - neg(a) { - return this.sub(this.zero, a); - } - - mul(a, b) { - - const aA = this.F.mul(a[0] , b[0]); - const bB = this.F.mul(a[1] , b[1]); - const cC = this.F.mul(a[2] , b[2]); - - return [ - this.F.add( - aA, - this._mulByNonResidue( - this.F.sub( - this.F.mul( - this.F.add(a[1], a[2]), - this.F.add(b[1], b[2])), - this.F.add(bB, cC)))), // aA + non_residue*((b+c)*(B+C)-bB-cC), - - this.F.add( - this.F.sub( - this.F.mul( - this.F.add(a[0], a[1]), - this.F.add(b[0], b[1])), - this.F.add(aA, bB)), - this._mulByNonResidue( cC)), // (a+b)*(A+B)-aA-bB+non_residue*cC - - this.F.add( - this.F.sub( - this.F.mul( - this.F.add(a[0], a[2]), - this.F.add(b[0], b[2])), - this.F.add(aA, cC)), - bB)]; // (a+c)*(A+C)-aA+bB-cC) - } - - inv(a) { - const t0 = this.F.square(a[0]); // t0 = a^2 ; - const t1 = this.F.square(a[1]); // t1 = b^2 ; - const t2 = this.F.square(a[2]); // t2 = c^2; - const t3 = this.F.mul(a[0],a[1]); // t3 = ab - const t4 = this.F.mul(a[0],a[2]); // t4 = ac - const t5 = this.F.mul(a[1],a[2]); // t5 = bc; - // c0 = t0 - non_residue * t5; - const c0 = this.F.sub(t0, this._mulByNonResidue(t5)); - // c1 = non_residue * t2 - t3; - const c1 = this.F.sub(this._mulByNonResidue(t2), t3); - const c2 = this.F.sub(t1, t4); // c2 = t1-t4 - - // t6 = (a * c0 + non_residue * (c * c1 + b * c2)).inv(); - const t6 = - this.F.inv( - this.F.add( - this.F.mul(a[0], c0), - this._mulByNonResidue( - this.F.add( - this.F.mul(a[2], c1), - this.F.mul(a[1], c2))))); - - return [ - this.F.mul(t6, c0), // t6*c0 - this.F.mul(t6, c1), // t6*c1 - this.F.mul(t6, c2)]; // t6*c2 - } - - div(a, b) { - return this.mul(a, this.inv(b)); - } - - square(a) { - const s0 = this.F.square(a[0]); // s0 = a^2 - const ab = this.F.mul(a[0], a[1]); // ab = a*b - const s1 = this.F.add(ab, ab); // s1 = 2ab; - const s2 = this.F.square( - this.F.add(this.F.sub(a[0],a[1]), a[2])); // s2 = (a - b + c)^2; - const bc = this.F.mul(a[1],a[2]); // bc = b*c - const s3 = this.F.add(bc, bc); // s3 = 2*bc - const s4 = this.F.square(a[2]); // s4 = c^2 - - - return [ - this.F.add( - s0, - this._mulByNonResidue(s3)), // s0 + non_residue * s3, - this.F.add( - s1, - this._mulByNonResidue(s4)), // s1 + non_residue * s4, - this.F.sub( - this.F.add( this.F.add(s1, s2) , s3 ), - this.F.add(s0, s4))]; // s1 + s2 + s3 - s0 - s4 - } - - isZero(a) { - return this.F.isZero(a[0]) && this.F.isZero(a[1]) && this.F.isZero(a[2]); - } - - eq(a, b) { - return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]) && this.F.eq(a[2], b[2]); - } - - affine(a) { - return [this.F.affine(a[0]), this.F.affine(a[1]), this.F.affine(a[2])]; - } - - mulScalar(base, e) { - return mulScalar(this, base, e); - } - - pow(base, e) { - return exp(this, base, e); - } - - exp(base, e) { - return exp(this, base, e); - } - - toString(a) { - return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])}, ${this.F.toString(a[2])} ]`; - } - - fromRng(rng) { - const c0 = this.F.fromRng(rng); - const c1 = this.F.fromRng(rng); - const c2 = this.F.fromRng(rng); - return [c0, c1, c2]; - } - - gt(a, b) { - if (this.F.gt(a[0], b[0])) return true; - if (this.F.gt(b[0], a[0])) return false; - if (this.F.gt(a[1], b[1])) return true; - if (this.F.gt(b[1], a[1])) return false; - if (this.F.gt(a[2], b[2])) return true; - return false; - } - - - geq(a, b) { - return this.gt(a, b) || this.eq(a, b); - } - - lt(a, b) { - return !this.geq(a,b); - } - - leq(a, b) { - return !this.gt(a,b); - } - - neq(a, b) { - return !this.eq(a,b); - } - - random() { - return [this.F.random(), this.F.random(), this.F.random()]; - } - - - toRprLE(buff, o, e) { - this.F.toRprLE(buff, o, e[0]); - this.F.toRprLE(buff, o+this.F.n8, e[1]); - this.F.toRprLE(buff, o+this.F.n8*2, e[2]); - } - - toRprBE(buff, o, e) { - this.F.toRprBE(buff, o, e[2]); - this.F.toRprBE(buff, o+this.F.n8, e[1]); - this.F.toRprBE(buff, o+this.F.n8*2, e[0]); - } - - toRprLEM(buff, o, e) { - this.F.toRprLEM(buff, o, e[0]); - this.F.toRprLEM(buff, o+this.F.n8, e[1]); - this.F.toRprLEM(buff, o+this.F.n8*2, e[2]); - } - - - toRprBEM(buff, o, e) { - this.F.toRprBEM(buff, o, e[2]); - this.F.toRprBEM(buff, o+this.F.n8, e[1]); - this.F.toRprBEM(buff, o+this.F.n8*2, e[0]); - } - - fromRprLE(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLE(buff, o); - const c1 = this.F.fromRprLE(buff, o+this.n8); - const c2 = this.F.fromRprLE(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - fromRprBE(buff, o) { - o = o || 0; - const c2 = this.F.fromRprBE(buff, o); - const c1 = this.F.fromRprBE(buff, o+this.n8); - const c0 = this.F.fromRprBE(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - fromRprLEM(buff, o) { - o = o || 0; - const c0 = this.F.fromRprLEM(buff, o); - const c1 = this.F.fromRprLEM(buff, o+this.n8); - const c2 = this.F.fromRprLEM(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - fromRprBEM(buff, o) { - o = o || 0; - const c2 = this.F.fromRprBEM(buff, o); - const c1 = this.F.fromRprBEM(buff, o+this.n8); - const c0 = this.F.fromRprBEM(buff, o+this.n8*2); - return [c0, c1, c2]; - } - - toObject(a) { - return a; - } + const n = 1 << bits; + if (n == 1) + /* c8 ignore start */ + return [pall[offset]]; + else if (n == 2) return [PF.G.add(pall[offset], pall[offset + step]), PF.G.sub(pall[offset], pall[offset + step])]; + const ndiv2 = n >> 1; + const p1 = __fft(PF, pall, bits - 1, offset, step * 2); + const p2 = __fft(PF, pall, bits - 1, offset + step, step * 2); + const out = new Array(n); + for (let i = 0; i < ndiv2; i++) { + out[i] = PF.G.add(p1[i], PF.opMulGF(p2[i], PF.roots[bits][i])); + out[i + ndiv2] = PF.G.sub(p1[i], PF.opMulGF(p2[i], PF.roots[bits][i])); + } + return out; } - -/* - Copyright 2018 0kims association. - - This file is part of snarkjs. - - snarkjs is a free software: you can redistribute it and/or - modify it under the terms of the GNU General Public License as published by the - Free Software Foundation, either version 3 of the License, or (at your option) - any later version. - - snarkjs is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for - more details. - - You should have received a copy of the GNU General Public License along with - snarkjs. If not, see . -*/ - - - +//#endregion +//#region src/f1field.js +var ZqField = class { + constructor(p) { + this.type = "F1"; + this.one = BigInt(1); + this.zero = BigInt(0); + this.p = BigInt(p); + this.m = 1; + this.negone = this.p - this.one; + this.two = BigInt(2); + this.half = this.p >> this.one; + this.bitLength = bitLength(this.p); + this.mask = (this.one << BigInt(this.bitLength)) - this.one; + this.n64 = Math.floor((this.bitLength - 1) / 64) + 1; + this.n32 = this.n64 * 2; + this.n8 = this.n64 * 8; + this.R = this.e(this.one << BigInt(this.n64 * 64)); + this.Ri = this.inv(this.R); + const e = this.negone >> this.one; + this.nqr = this.two; + let r = this.pow(this.nqr, e); + while (!this.eq(r, this.negone)) { + this.nqr = this.nqr + this.one; + r = this.pow(this.nqr, e); + } + this.s = 0; + this.t = this.negone; + while ((this.t & this.one) == this.zero) { + this.s = this.s + 1; + this.t = this.t >> this.one; + } + this.nqr_to_t = this.pow(this.nqr, this.t); + buildSqrt(this); + this.FFT = new FFT(this, this, this.mul.bind(this)); + this.fft = this.FFT.fft.bind(this.FFT); + this.ifft = this.FFT.ifft.bind(this.FFT); + this.w = this.FFT.w; + this.wi = this.FFT.wi; + this.shift = this.square(this.nqr); + this.k = this.exp(this.nqr, 2 ** this.s); + } + e(a, b) { + let res; + if (!b) res = BigInt(a); + else if (b == 16) res = BigInt("0x" + a); + if (res < 0) { + let nres = -res; + if (nres >= this.p) nres = nres % this.p; + return this.p - nres; + } else return res >= this.p ? res % this.p : res; + } + add(a, b) { + const res = a + b; + return res >= this.p ? res - this.p : res; + } + sub(a, b) { + return a >= b ? a - b : this.p - b + a; + } + neg(a) { + return a ? this.p - a : a; + } + mul(a, b) { + return a * b % this.p; + } + mulScalar(base, s) { + return base * this.e(s) % this.p; + } + copy(a) { + return a; + } + square(a) { + return a * a % this.p; + } + eq(a, b) { + return a == b; + } + neq(a, b) { + return a != b; + } + lt(a, b) { + return (a > this.half ? a - this.p : a) < (b > this.half ? b - this.p : b); + } + gt(a, b) { + return (a > this.half ? a - this.p : a) > (b > this.half ? b - this.p : b); + } + leq(a, b) { + return (a > this.half ? a - this.p : a) <= (b > this.half ? b - this.p : b); + } + geq(a, b) { + return (a > this.half ? a - this.p : a) >= (b > this.half ? b - this.p : b); + } + div(a, b) { + return this.mul(a, this.inv(b)); + } + idiv(a, b) { + if (!b) throw new Error("Division by zero"); + return a / b; + } + inv(a) { + if (!a) throw new Error("Division by zero"); + let t = this.zero; + let r = this.p; + let newt = this.one; + let newr = a % this.p; + while (newr) { + let q = r / newr; + [t, newt] = [newt, t - q * newt]; + [r, newr] = [newr, r - q * newr]; + } + if (t < this.zero) t += this.p; + return t; + } + mod(a, b) { + return a % b; + } + pow(b, e) { + return exp(this, b, e); + } + exp(b, e) { + return exp(this, b, e); + } + band(a, b) { + const res = a & b & this.mask; + return res >= this.p ? res - this.p : res; + } + bor(a, b) { + const res = (a | b) & this.mask; + return res >= this.p ? res - this.p : res; + } + bxor(a, b) { + const res = (a ^ b) & this.mask; + return res >= this.p ? res - this.p : res; + } + bnot(a) { + const res = a ^ this.mask; + return res >= this.p ? res - this.p : res; + } + shl(a, b) { + if (Number(b) < this.bitLength) { + const res = a << b & this.mask; + return res >= this.p ? res - this.p : res; + } else { + const nb = this.p - b; + if (Number(nb) < this.bitLength) return a >> nb; + else return this.zero; + } + } + shr(a, b) { + if (Number(b) < this.bitLength) return a >> b; + else { + const nb = this.p - b; + if (Number(nb) < this.bitLength) { + const res = a << nb & this.mask; + return res >= this.p ? res - this.p : res; + } else return 0; + } + } + land(a, b) { + return a && b ? this.one : this.zero; + } + lor(a, b) { + return a || b ? this.one : this.zero; + } + lnot(a) { + return a ? this.zero : this.one; + } + sqrt_old(n) { + if (n == this.zero) return this.zero; + if (this.pow(n, this.negone >> this.one) != this.one) return null; + let m = this.s; + let c = this.nqr_to_t; + let t = this.pow(n, this.t); + let r = this.pow(n, this.add(this.t, this.one) >> this.one); + while (t != this.one) { + let sq = this.square(t); + let i = 1; + while (sq != this.one) { + i++; + sq = this.square(sq); + } + let b = c; + for (let j = 0; j < m - i - 1; j++) b = this.square(b); + m = i; + c = this.square(b); + t = this.mul(t, c); + r = this.mul(r, b); + } + if (r > this.p >> this.one) r = this.neg(r); + return r; + } + normalize(a, b) { + a = BigInt(a, b); + if (a < 0) { + let na = -a; + if (na >= this.p) na = na % this.p; + return this.p - na; + } else return a >= this.p ? a % this.p : a; + } + random() { + const nBytes = this.bitLength * 2 / 8; + let res = this.zero; + for (let i = 0; i < nBytes; i++) res = (res << BigInt(8)) + BigInt(getRandomBytes(1)[0]); + return res % this.p; + } + toString(a, base) { + base = base || 10; + let vs; + if (a > this.half && base == 10) vs = "-" + (this.p - a).toString(base); + else vs = a.toString(base); + return vs; + } + isZero(a) { + return a == this.zero; + } + fromRng(rng) { + let v; + do { + v = this.zero; + for (let i = 0; i < this.n64; i++) v += rng.nextU64() << BigInt(64 * i); + v &= this.mask; + } while (v >= this.p); + v = v * this.Ri % this.p; + return v; + } + fft(a) { + return this.FFT.fft(a); + } + ifft(a) { + return this.FFT.ifft(a); + } + toRprLE(buff, o, e) { + toRprLE(buff, o, e, this.n64 * 8); + } + toRprBE(buff, o, e) { + toRprBE(buff, o, e, this.n64 * 8); + } + toRprBEM(buff, o, e) { + return this.toRprBE(buff, o, this.mul(this.R, e)); + } + toRprLEM(buff, o, e) { + return this.toRprLE(buff, o, this.mul(this.R, e)); + } + fromRprLE(buff, o) { + return fromRprLE(buff, o, this.n8); + } + fromRprBE(buff, o) { + return fromRprBE(buff, o, this.n8); + } + fromRprLEM(buff, o) { + return this.mul(this.fromRprLE(buff, o), this.Ri); + } + fromRprBEM(buff, o) { + return this.mul(this.fromRprBE(buff, o), this.Ri); + } + toObject(a) { + return a; + } +}; +//#endregion +//#region src/f2field.js +var F2Field = class { + constructor(F, nonResidue) { + this.type = "F2"; + this.F = F; + this.zero = [this.F.zero, this.F.zero]; + this.one = [this.F.one, this.F.zero]; + this.negone = this.neg(this.one); + this.nonResidue = nonResidue; + this.m = F.m * 2; + this.p = F.p; + this.n64 = F.n64 * 2; + this.n32 = this.n64 * 2; + this.n8 = this.n64 * 8; + buildSqrt(this); + } + _mulByNonResidue(a) { + return this.F.mul(this.nonResidue, a); + } + copy(a) { + return [this.F.copy(a[0]), this.F.copy(a[1])]; + } + add(a, b) { + return [this.F.add(a[0], b[0]), this.F.add(a[1], b[1])]; + } + double(a) { + return this.add(a, a); + } + sub(a, b) { + return [this.F.sub(a[0], b[0]), this.F.sub(a[1], b[1])]; + } + neg(a) { + return this.sub(this.zero, a); + } + conjugate(a) { + return [a[0], this.F.neg(a[1])]; + } + mul(a, b) { + const aA = this.F.mul(a[0], b[0]); + const bB = this.F.mul(a[1], b[1]); + return [this.F.add(aA, this._mulByNonResidue(bB)), this.F.sub(this.F.mul(this.F.add(a[0], a[1]), this.F.add(b[0], b[1])), this.F.add(aA, bB))]; + } + inv(a) { + const t0 = this.F.square(a[0]); + const t1 = this.F.square(a[1]); + const t2 = this.F.sub(t0, this._mulByNonResidue(t1)); + const t3 = this.F.inv(t2); + return [this.F.mul(a[0], t3), this.F.neg(this.F.mul(a[1], t3))]; + } + div(a, b) { + return this.mul(a, this.inv(b)); + } + square(a) { + const ab = this.F.mul(a[0], a[1]); + return [this.F.sub(this.F.mul(this.F.add(a[0], a[1]), this.F.add(a[0], this._mulByNonResidue(a[1]))), this.F.add(ab, this._mulByNonResidue(ab))), this.F.add(ab, ab)]; + } + isZero(a) { + return this.F.isZero(a[0]) && this.F.isZero(a[1]); + } + eq(a, b) { + return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]); + } + mulScalar(base, e) { + return mulScalar(this, base, e); + } + pow(base, e) { + return exp(this, base, e); + } + exp(base, e) { + return exp(this, base, e); + } + toString(a) { + return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])} ]`; + } + fromRng(rng) { + return [this.F.fromRng(rng), this.F.fromRng(rng)]; + } + gt(a, b) { + if (this.F.gt(a[0], b[0])) return true; + if (this.F.gt(b[0], a[0])) return false; + if (this.F.gt(a[1], b[1])) return true; + return false; + } + geq(a, b) { + return this.gt(a, b) || this.eq(a, b); + } + lt(a, b) { + return !this.geq(a, b); + } + leq(a, b) { + return !this.gt(a, b); + } + neq(a, b) { + return !this.eq(a, b); + } + random() { + return [this.F.random(), this.F.random()]; + } + toRprLE(buff, o, e) { + this.F.toRprLE(buff, o, e[0]); + this.F.toRprLE(buff, o + this.F.n8, e[1]); + } + toRprBE(buff, o, e) { + this.F.toRprBE(buff, o, e[1]); + this.F.toRprBE(buff, o + this.F.n8, e[0]); + } + toRprLEM(buff, o, e) { + this.F.toRprLEM(buff, o, e[0]); + this.F.toRprLEM(buff, o + this.F.n8, e[1]); + } + toRprBEM(buff, o, e) { + this.F.toRprBEM(buff, o, e[1]); + this.F.toRprBEM(buff, o + this.F.n8, e[0]); + } + fromRprLE(buff, o) { + o = o || 0; + return [this.F.fromRprLE(buff, o), this.F.fromRprLE(buff, o + this.F.n8)]; + } + fromRprBE(buff, o) { + o = o || 0; + const c1 = this.F.fromRprBE(buff, o); + return [this.F.fromRprBE(buff, o + this.F.n8), c1]; + } + fromRprLEM(buff, o) { + o = o || 0; + return [this.F.fromRprLEM(buff, o), this.F.fromRprLEM(buff, o + this.F.n8)]; + } + fromRprBEM(buff, o) { + o = o || 0; + const c1 = this.F.fromRprBEM(buff, o); + return [this.F.fromRprBEM(buff, o + this.F.n8), c1]; + } + toObject(a) { + return a; + } +}; +//#endregion +//#region src/f3field.js +var F3Field = class { + constructor(F, nonResidue) { + this.type = "F3"; + this.F = F; + this.zero = [ + this.F.zero, + this.F.zero, + this.F.zero + ]; + this.one = [ + this.F.one, + this.F.zero, + this.F.zero + ]; + this.negone = this.neg(this.one); + this.nonResidue = nonResidue; + this.m = F.m * 3; + this.p = F.p; + this.n64 = F.n64 * 3; + this.n32 = this.n64 * 2; + this.n8 = this.n64 * 8; + } + _mulByNonResidue(a) { + return this.F.mul(this.nonResidue, a); + } + copy(a) { + return [ + this.F.copy(a[0]), + this.F.copy(a[1]), + this.F.copy(a[2]) + ]; + } + add(a, b) { + return [ + this.F.add(a[0], b[0]), + this.F.add(a[1], b[1]), + this.F.add(a[2], b[2]) + ]; + } + double(a) { + return this.add(a, a); + } + sub(a, b) { + return [ + this.F.sub(a[0], b[0]), + this.F.sub(a[1], b[1]), + this.F.sub(a[2], b[2]) + ]; + } + neg(a) { + return this.sub(this.zero, a); + } + mul(a, b) { + const aA = this.F.mul(a[0], b[0]); + const bB = this.F.mul(a[1], b[1]); + const cC = this.F.mul(a[2], b[2]); + return [ + this.F.add(aA, this._mulByNonResidue(this.F.sub(this.F.mul(this.F.add(a[1], a[2]), this.F.add(b[1], b[2])), this.F.add(bB, cC)))), + this.F.add(this.F.sub(this.F.mul(this.F.add(a[0], a[1]), this.F.add(b[0], b[1])), this.F.add(aA, bB)), this._mulByNonResidue(cC)), + this.F.add(this.F.sub(this.F.mul(this.F.add(a[0], a[2]), this.F.add(b[0], b[2])), this.F.add(aA, cC)), bB) + ]; + } + inv(a) { + const t0 = this.F.square(a[0]); + const t1 = this.F.square(a[1]); + const t2 = this.F.square(a[2]); + const t3 = this.F.mul(a[0], a[1]); + const t4 = this.F.mul(a[0], a[2]); + const t5 = this.F.mul(a[1], a[2]); + const c0 = this.F.sub(t0, this._mulByNonResidue(t5)); + const c1 = this.F.sub(this._mulByNonResidue(t2), t3); + const c2 = this.F.sub(t1, t4); + const t6 = this.F.inv(this.F.add(this.F.mul(a[0], c0), this._mulByNonResidue(this.F.add(this.F.mul(a[2], c1), this.F.mul(a[1], c2))))); + return [ + this.F.mul(t6, c0), + this.F.mul(t6, c1), + this.F.mul(t6, c2) + ]; + } + div(a, b) { + return this.mul(a, this.inv(b)); + } + square(a) { + const s0 = this.F.square(a[0]); + const ab = this.F.mul(a[0], a[1]); + const s1 = this.F.add(ab, ab); + const s2 = this.F.square(this.F.add(this.F.sub(a[0], a[1]), a[2])); + const bc = this.F.mul(a[1], a[2]); + const s3 = this.F.add(bc, bc); + const s4 = this.F.square(a[2]); + return [ + this.F.add(s0, this._mulByNonResidue(s3)), + this.F.add(s1, this._mulByNonResidue(s4)), + this.F.sub(this.F.add(this.F.add(s1, s2), s3), this.F.add(s0, s4)) + ]; + } + isZero(a) { + return this.F.isZero(a[0]) && this.F.isZero(a[1]) && this.F.isZero(a[2]); + } + eq(a, b) { + return this.F.eq(a[0], b[0]) && this.F.eq(a[1], b[1]) && this.F.eq(a[2], b[2]); + } + affine(a) { + return [ + this.F.affine(a[0]), + this.F.affine(a[1]), + this.F.affine(a[2]) + ]; + } + mulScalar(base, e) { + return mulScalar(this, base, e); + } + pow(base, e) { + return exp(this, base, e); + } + exp(base, e) { + return exp(this, base, e); + } + toString(a) { + return `[ ${this.F.toString(a[0])} , ${this.F.toString(a[1])}, ${this.F.toString(a[2])} ]`; + } + fromRng(rng) { + return [ + this.F.fromRng(rng), + this.F.fromRng(rng), + this.F.fromRng(rng) + ]; + } + gt(a, b) { + if (this.F.gt(a[0], b[0])) return true; + if (this.F.gt(b[0], a[0])) return false; + if (this.F.gt(a[1], b[1])) return true; + if (this.F.gt(b[1], a[1])) return false; + if (this.F.gt(a[2], b[2])) return true; + return false; + } + geq(a, b) { + return this.gt(a, b) || this.eq(a, b); + } + lt(a, b) { + return !this.geq(a, b); + } + leq(a, b) { + return !this.gt(a, b); + } + neq(a, b) { + return !this.eq(a, b); + } + random() { + return [ + this.F.random(), + this.F.random(), + this.F.random() + ]; + } + toRprLE(buff, o, e) { + this.F.toRprLE(buff, o, e[0]); + this.F.toRprLE(buff, o + this.F.n8, e[1]); + this.F.toRprLE(buff, o + this.F.n8 * 2, e[2]); + } + toRprBE(buff, o, e) { + this.F.toRprBE(buff, o, e[2]); + this.F.toRprBE(buff, o + this.F.n8, e[1]); + this.F.toRprBE(buff, o + this.F.n8 * 2, e[0]); + } + toRprLEM(buff, o, e) { + this.F.toRprLEM(buff, o, e[0]); + this.F.toRprLEM(buff, o + this.F.n8, e[1]); + this.F.toRprLEM(buff, o + this.F.n8 * 2, e[2]); + } + toRprBEM(buff, o, e) { + this.F.toRprBEM(buff, o, e[2]); + this.F.toRprBEM(buff, o + this.F.n8, e[1]); + this.F.toRprBEM(buff, o + this.F.n8 * 2, e[0]); + } + fromRprLE(buff, o) { + o = o || 0; + return [ + this.F.fromRprLE(buff, o), + this.F.fromRprLE(buff, o + this.F.n8), + this.F.fromRprLE(buff, o + this.F.n8 * 2) + ]; + } + fromRprBE(buff, o) { + o = o || 0; + const c2 = this.F.fromRprBE(buff, o); + const c1 = this.F.fromRprBE(buff, o + this.F.n8); + return [ + this.F.fromRprBE(buff, o + this.F.n8 * 2), + c1, + c2 + ]; + } + fromRprLEM(buff, o) { + o = o || 0; + return [ + this.F.fromRprLEM(buff, o), + this.F.fromRprLEM(buff, o + this.F.n8), + this.F.fromRprLEM(buff, o + this.F.n8 * 2) + ]; + } + fromRprBEM(buff, o) { + o = o || 0; + const c2 = this.F.fromRprBEM(buff, o); + const c1 = this.F.fromRprBEM(buff, o + this.F.n8); + return [ + this.F.fromRprBEM(buff, o + this.F.n8 * 2), + c1, + c2 + ]; + } + toObject(a) { + return a; + } +}; +//#endregion +//#region src/ec.js function isGreatest(F, a) { - if (Array.isArray(a)) { - for (let i=a.length-1; i>=0; i--) { - if (!F.F.isZero(a[i])) { - return isGreatest(F.F, a[i]); - } - } - return 0; - } else { - const na = F.neg(a); - return gt(a, na); - } + /* c8 ignore start */ + if (Array.isArray(a)) { + for (let i = a.length - 1; i >= 0; i--) if (!F.F.isZero(a[i])) return isGreatest(F.F, a[i]); + return 0; + } else return gt(a, F.neg(a)); } - - -class EC { - - constructor(F, g) { - this.F = F; - this.g = g; - if (this.g.length == 2) this.g[2] = this.F.one; - this.zero = [this.F.zero, this.F.one, this.F.zero]; - } - - add(p1, p2) { - - const F = this.F; - - if (this.eq(p1, this.zero)) return p2; - if (this.eq(p2, this.zero)) return p1; - - const res = new Array(3); - - const Z1Z1 = F.square( p1[2] ); - const Z2Z2 = F.square( p2[2] ); - - const U1 = F.mul( p1[0] , Z2Z2 ); // U1 = X1 * Z2Z2 - const U2 = F.mul( p2[0] , Z1Z1 ); // U2 = X2 * Z1Z1 - - const Z1_cubed = F.mul( p1[2] , Z1Z1); - const Z2_cubed = F.mul( p2[2] , Z2Z2); - - const S1 = F.mul( p1[1] , Z2_cubed); // S1 = Y1 * Z2 * Z2Z2 - const S2 = F.mul( p2[1] , Z1_cubed); // S2 = Y2 * Z1 * Z1Z1 - - if (F.eq(U1,U2) && F.eq(S1,S2)) { - return this.double(p1); - } - - const H = F.sub( U2 , U1 ); // H = U2-U1 - - const S2_minus_S1 = F.sub( S2 , S1 ); - - const I = F.square( F.add(H,H) ); // I = (2 * H)^2 - const J = F.mul( H , I ); // J = H * I - - const r = F.add( S2_minus_S1 , S2_minus_S1 ); // r = 2 * (S2-S1) - const V = F.mul( U1 , I ); // V = U1 * I - - res[0] = - F.sub( - F.sub( F.square(r) , J ), - F.add( V , V )); // X3 = r^2 - J - 2 * V - - const S1_J = F.mul( S1 , J ); - - res[1] = - F.sub( - F.mul( r , F.sub(V,res[0])), - F.add( S1_J,S1_J )); // Y3 = r * (V-X3)-2 S1 J - - res[2] = - F.mul( - H, - F.sub( - F.square( F.add(p1[2],p2[2]) ), - F.add( Z1Z1 , Z2Z2 ))); // Z3 = ((Z1+Z2)^2-Z1Z1-Z2Z2) * H - - 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 F = this.F; - - const res = new Array(3); - - if (this.eq(p, this.zero)) return p; - - const A = F.square( p[0] ); // A = X1^2 - const B = F.square( p[1] ); // B = Y1^2 - const C = F.square( B ); // C = B^2 - - let D = - F.sub( - F.square( F.add(p[0] , B )), - F.add( A , C)); - D = F.add(D,D); // D = 2 * ((X1 + B)^2 - A - C) - - const E = F.add( F.add(A,A), A); // E = 3 * A - const FF =F.square( E ); // F = E^2 - - res[0] = F.sub( FF , F.add(D,D) ); // X3 = F - 2 D - - let eightC = F.add( C , C ); - eightC = F.add( eightC , eightC ); - eightC = F.add( eightC , eightC ); - - res[1] = - F.sub( - F.mul( - E, - F.sub( D, res[0] )), - eightC); // Y3 = E * (D - X3) - 8 * C - - const Y1Z1 = F.mul( p[1] , p[2] ); - res[2] = F.add( Y1Z1 , Y1Z1 ); // Z3 = 2 * Y1 * Z1 - - return res; - } - - timesScalar(base, e) { - return mulScalar(this, base, e); - } - - mulScalar(base, e) { - return mulScalar(this, base, e); - } - - affine(p) { - const F = this.F; - if (this.isZero(p)) { - return this.zero; - } else if (F.eq(p[2], F.one)) { - return p; - } else { - const Z_inv = F.inv(p[2]); - const Z2_inv = F.square(Z_inv); - const Z3_inv = F.mul(Z2_inv, Z_inv); - - const res = new Array(3); - res[0] = F.mul(p[0],Z2_inv); - res[1] = F.mul(p[1],Z3_inv); - res[2] = F.one; - - return res; - } - } - - multiAffine(arr) { - const keys = Object.keys(arr); - const F = this.F; - const accMul = new Array(keys.length+1); - accMul[0] = F.one; - for (let i = 0; i< keys.length; i++) { - if (F.eq(arr[keys[i]][2], F.zero)) { - accMul[i+1] = accMul[i]; - } else { - accMul[i+1] = F.mul(accMul[i], arr[keys[i]][2]); - } - } - - accMul[keys.length] = F.inv(accMul[keys.length]); - - for (let i = keys.length-1; i>=0; i--) { - if (F.eq(arr[keys[i]][2], F.zero)) { - accMul[i] = accMul[i+1]; - arr[keys[i]] = this.zero; - } else { - const Z_inv = F.mul(accMul[i], accMul[i+1]); - accMul[i] = F.mul(arr[keys[i]][2], accMul[i+1]); - - const Z2_inv = F.square(Z_inv); - const Z3_inv = F.mul(Z2_inv, Z_inv); - - arr[keys[i]][0] = F.mul(arr[keys[i]][0],Z2_inv); - arr[keys[i]][1] = F.mul(arr[keys[i]][1],Z3_inv); - arr[keys[i]][2] = F.one; - } - } - - } - - eq(p1, p2) { - const F = this.F; - - if (this.F.eq(p1[2], this.F.zero)) return this.F.eq(p2[2], this.F.zero); - if (this.F.eq(p2[2], this.F.zero)) return false; - - const Z1Z1 = F.square( p1[2] ); - const Z2Z2 = F.square( p2[2] ); - - const U1 = F.mul( p1[0] , Z2Z2 ); - const U2 = F.mul( p2[0] , Z1Z1 ); - - const Z1_cubed = F.mul( p1[2] , Z1Z1); - const Z2_cubed = F.mul( p2[2] , Z2Z2); - - const S1 = F.mul( p1[1] , Z2_cubed); - const S2 = F.mul( p2[1] , Z1_cubed); - - return (F.eq(U1,U2) && F.eq(S1,S2)); - } - - isZero(p) { - return this.F.isZero(p[2]); - } - - toString(p) { - const cp = this.affine(p); - return `[ ${this.F.toString(cp[0])} , ${this.F.toString(cp[1])} ]`; - } - - fromRng(rng) { - const F = this.F; - let P = []; - let greatest; - do { - P[0] = F.fromRng(rng); - greatest = rng.nextBool(); - const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); - P[1] = F.sqrt(x3b); - } while ((P[1] == null)||(F.isZero[P])); - - const s = isGreatest(F, P[1]); - if (greatest ^ s) P[1] = F.neg(P[1]); - P[2] = F.one; - - if (this.cofactor) { - P = this.mulScalar(P, this.cofactor); - } - - P = this.affine(P); - - return P; - - } - - toRprLE(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprLE(buff, o, p[0]); - this.F.toRprLE(buff, o+this.F.n8, p[1]); - } - - toRprBE(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprBE(buff, o, p[0]); - this.F.toRprBE(buff, o+this.F.n8, p[1]); - } - - toRprLEM(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprLEM(buff, o, p[0]); - this.F.toRprLEM(buff, o+this.F.n8, p[1]); - } - - toRprLEJM(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprLEM(buff, o, p[0]); - this.F.toRprLEM(buff, o+this.F.n8, p[1]); - this.F.toRprLEM(buff, o+2*this.F.n8, p[2]); - } - - - toRprBEM(buff, o, p) { - p = this.affine(p); - if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); - BuffV.fill(0); - return; - } - this.F.toRprBEM(buff, o, p[0]); - this.F.toRprBEM(buff, o+this.F.n8, p[1]); - } - - fromRprLE(buff, o) { - o = o || 0; - const x = this.F.fromRprLE(buff, o); - const y = this.F.fromRprLE(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprBE(buff, o) { - o = o || 0; - const x = this.F.fromRprBE(buff, o); - const y = this.F.fromRprBE(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprLEM(buff, o) { - o = o || 0; - const x = this.F.fromRprLEM(buff, o); - const y = this.F.fromRprLEM(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprLEJM(buff, o) { - o = o || 0; - const x = this.F.fromRprLEM(buff, o); - const y = this.F.fromRprLEM(buff, o+this.F.n8); - const z = this.F.fromRprLEM(buff, o+this.F.n8*2); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, z]; - } - - fromRprBEM(buff, o) { - o = o || 0; - const x = this.F.fromRprBEM(buff, o); - const y = this.F.fromRprBEM(buff, o+this.F.n8); - if (this.F.isZero(x) && this.F.isZero(y)) { - return this.zero; - } - return [x, y, this.F.one]; - } - - fromRprCompressed(buff, o) { - const F = this.F; - const v = new Uint8Array(buff.buffer, o, F.n8); - if (v[0] & 0x40) return this.zero; - const P = new Array(3); - - const greatest = ((v[0] & 0x80) != 0); - v[0] = v[0] & 0x7F; - P[0] = F.fromRprBE(buff, o); - if (greatest) v[0] = v[0] | 0x80; // set back again the old value - - const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); - P[1] = F.sqrt(x3b); - - if (P[1] === null) { - throw new Error("Invalid Point!"); - } - - const s = isGreatest(F, P[1]); - if (greatest ^ s) P[1] = F.neg(P[1]); - P[2] = F.one; - - return P; - } - - toRprCompressed(buff, o, p) { - p = this.affine(p); - const v = new Uint8Array(buff.buffer, o, this.F.n8); - if (this.isZero(p)) { - v.fill(0); - v[0] = 0x40; - return; - } - this.F.toRprBE(buff, o, p[0]); - - if (isGreatest(this.F, p[1])) { - v[0] = v[0] | 0x80; - } - } - - - fromRprUncompressed(buff, o) { - if (buff[0] & 0x40) return this.zero; - - return this.fromRprBE(buff, o); - } - - toRprUncompressed(buff, o, p) { - this.toRprBE(buff, o, p); - - if (this.isZero(p)) { - buff[o] = buff[o] | 0x40; - } - } - - -} - -/* global BigInt */ - +var EC = class { + constructor(F, g) { + this.F = F; + this.g = g; + if (this.g.length == 2) this.g[2] = this.F.one; + this.zero = [ + this.F.zero, + this.F.one, + this.F.zero + ]; + } + add(p1, p2) { + const F = this.F; + if (this.eq(p1, this.zero)) return p2; + if (this.eq(p2, this.zero)) return p1; + const res = new Array(3); + const Z1Z1 = F.square(p1[2]); + const Z2Z2 = F.square(p2[2]); + const U1 = F.mul(p1[0], Z2Z2); + const U2 = F.mul(p2[0], Z1Z1); + const Z1_cubed = F.mul(p1[2], Z1Z1); + const Z2_cubed = F.mul(p2[2], Z2Z2); + const S1 = F.mul(p1[1], Z2_cubed); + const S2 = F.mul(p2[1], Z1_cubed); + if (F.eq(U1, U2) && F.eq(S1, S2)) return this.double(p1); + const H = F.sub(U2, U1); + const S2_minus_S1 = F.sub(S2, S1); + const I = F.square(F.add(H, H)); + const J = F.mul(H, I); + const r = F.add(S2_minus_S1, S2_minus_S1); + const V = F.mul(U1, I); + res[0] = F.sub(F.sub(F.square(r), J), F.add(V, V)); + const S1_J = F.mul(S1, J); + res[1] = F.sub(F.mul(r, F.sub(V, res[0])), F.add(S1_J, S1_J)); + res[2] = F.mul(H, F.sub(F.square(F.add(p1[2], p2[2])), F.add(Z1Z1, Z2Z2))); + 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 F = this.F; + const res = new Array(3); + if (this.eq(p, this.zero)) return p; + const A = F.square(p[0]); + const B = F.square(p[1]); + const C = F.square(B); + let D = F.sub(F.square(F.add(p[0], B)), F.add(A, C)); + D = F.add(D, D); + const E = F.add(F.add(A, A), A); + const FF = F.square(E); + res[0] = F.sub(FF, F.add(D, D)); + let eightC = F.add(C, C); + eightC = F.add(eightC, eightC); + eightC = F.add(eightC, eightC); + res[1] = F.sub(F.mul(E, F.sub(D, res[0])), eightC); + const Y1Z1 = F.mul(p[1], p[2]); + res[2] = F.add(Y1Z1, Y1Z1); + return res; + } + timesScalar(base, e) { + return mulScalar(this, base, e); + } + mulScalar(base, e) { + return mulScalar(this, base, e); + } + affine(p) { + const F = this.F; + if (this.isZero(p)) return this.zero; + else if (F.eq(p[2], F.one)) return p; + else { + const Z_inv = F.inv(p[2]); + const Z2_inv = F.square(Z_inv); + const Z3_inv = F.mul(Z2_inv, Z_inv); + const res = new Array(3); + res[0] = F.mul(p[0], Z2_inv); + res[1] = F.mul(p[1], Z3_inv); + res[2] = F.one; + return res; + } + } + multiAffine(arr) { + const keys = Object.keys(arr); + const F = this.F; + const accMul = new Array(keys.length + 1); + accMul[0] = F.one; + for (let i = 0; i < keys.length; i++) if (F.eq(arr[keys[i]][2], F.zero)) accMul[i + 1] = accMul[i]; + else accMul[i + 1] = F.mul(accMul[i], arr[keys[i]][2]); + accMul[keys.length] = F.inv(accMul[keys.length]); + for (let i = keys.length - 1; i >= 0; i--) if (F.eq(arr[keys[i]][2], F.zero)) { + accMul[i] = accMul[i + 1]; + arr[keys[i]] = this.zero; + } else { + const Z_inv = F.mul(accMul[i], accMul[i + 1]); + accMul[i] = F.mul(arr[keys[i]][2], accMul[i + 1]); + const Z2_inv = F.square(Z_inv); + const Z3_inv = F.mul(Z2_inv, Z_inv); + arr[keys[i]][0] = F.mul(arr[keys[i]][0], Z2_inv); + arr[keys[i]][1] = F.mul(arr[keys[i]][1], Z3_inv); + arr[keys[i]][2] = F.one; + } + } + eq(p1, p2) { + const F = this.F; + if (this.F.eq(p1[2], this.F.zero)) return this.F.eq(p2[2], this.F.zero); + if (this.F.eq(p2[2], this.F.zero)) return false; + const Z1Z1 = F.square(p1[2]); + const Z2Z2 = F.square(p2[2]); + const U1 = F.mul(p1[0], Z2Z2); + const U2 = F.mul(p2[0], Z1Z1); + const Z1_cubed = F.mul(p1[2], Z1Z1); + const Z2_cubed = F.mul(p2[2], Z2Z2); + const S1 = F.mul(p1[1], Z2_cubed); + const S2 = F.mul(p2[1], Z1_cubed); + return F.eq(U1, U2) && F.eq(S1, S2); + } + isZero(p) { + return this.F.isZero(p[2]); + } + toString(p) { + const cp = this.affine(p); + return `[ ${this.F.toString(cp[0])} , ${this.F.toString(cp[1])} ]`; + } + fromRng(rng) { + const F = this.F; + let P = []; + let greatest; + do { + P[0] = F.fromRng(rng); + greatest = rng.nextBool(); + const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); + P[1] = F.sqrt(x3b); + } while (P[1] == null || F.isZero[P]); + const s = isGreatest(F, P[1]); + if (greatest ^ s) P[1] = F.neg(P[1]); + P[2] = F.one; + /* c8 ignore start */ + if (this.cofactor) P = this.mulScalar(P, this.cofactor); + /* c8 ignore stop */ + P = this.affine(P); + return P; + } + toRprLE(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprLE(buff, o, p[0]); + this.F.toRprLE(buff, o + this.F.n8, p[1]); + } + toRprBE(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprBE(buff, o, p[0]); + this.F.toRprBE(buff, o + this.F.n8, p[1]); + } + toRprLEM(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprLEM(buff, o, p[0]); + this.F.toRprLEM(buff, o + this.F.n8, p[1]); + } + toRprLEJM(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprLEM(buff, o, p[0]); + this.F.toRprLEM(buff, o + this.F.n8, p[1]); + this.F.toRprLEM(buff, o + 2 * this.F.n8, p[2]); + } + toRprBEM(buff, o, p) { + p = this.affine(p); + if (this.isZero(p)) { + new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8 * 2).fill(0); + return; + } + this.F.toRprBEM(buff, o, p[0]); + this.F.toRprBEM(buff, o + this.F.n8, p[1]); + } + fromRprLE(buff, o) { + o = o || 0; + const x = this.F.fromRprLE(buff, o); + const y = this.F.fromRprLE(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprBE(buff, o) { + o = o || 0; + const x = this.F.fromRprBE(buff, o); + const y = this.F.fromRprBE(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprLEM(buff, o) { + o = o || 0; + const x = this.F.fromRprLEM(buff, o); + const y = this.F.fromRprLEM(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprLEJM(buff, o) { + o = o || 0; + const x = this.F.fromRprLEM(buff, o); + const y = this.F.fromRprLEM(buff, o + this.F.n8); + const z = this.F.fromRprLEM(buff, o + this.F.n8 * 2); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + z + ]; + } + fromRprBEM(buff, o) { + o = o || 0; + const x = this.F.fromRprBEM(buff, o); + const y = this.F.fromRprBEM(buff, o + this.F.n8); + if (this.F.isZero(x) && this.F.isZero(y)) return this.zero; + return [ + x, + y, + this.F.one + ]; + } + fromRprCompressed(buff, o) { + const F = this.F; + const v = new Uint8Array(buff.buffer, buff.byteOffset + o, F.n8); + if (v[0] & 64) return this.zero; + const P = new Array(3); + const greatest = (v[0] & 128) != 0; + v[0] = v[0] & 127; + P[0] = F.fromRprBE(buff, o); + if (greatest) v[0] = v[0] | 128; + const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); + P[1] = F.sqrt(x3b); + /* c8 ignore start */ + if (P[1] === null) throw new Error("Invalid Point!"); + if (greatest ^ isGreatest(F, P[1])) P[1] = F.neg(P[1]); + P[2] = F.one; + return P; + } + toRprCompressed(buff, o, p) { + p = this.affine(p); + const v = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8); + if (this.isZero(p)) { + v.fill(0); + v[0] = 64; + return; + } + this.F.toRprBE(buff, o, p[0]); + if (isGreatest(this.F, p[1])) v[0] = v[0] | 128; + } + fromRprUncompressed(buff, o) { + if (buff[0] & 64) return this.zero; + return this.fromRprBE(buff, o); + } + toRprUncompressed(buff, o, p) { + this.toRprBE(buff, o, p); + if (this.isZero(p)) buff[o] = buff[o] | 64; + } +}; +//#endregion +//#region src/utils.js +var utils_exports = /* @__PURE__ */ __exportAll({ + array2buffer: () => array2buffer, + beBuff2int: () => beBuff2int, + beInt2Buff: () => beInt2Buff, + bitReverse: () => bitReverse, + buffReverseBits: () => buffReverseBits, + buffer2array: () => buffer2array, + leBuff2int: () => leBuff2int, + leInt2Buff: () => leInt2Buff, + log2: () => log2, + stringifyBigInts: () => stringifyBigInts, + stringifyFElements: () => stringifyFElements, + unstringifyBigInts: () => unstringifyBigInts, + unstringifyFElements: () => unstringifyFElements +}); function stringifyBigInts(o) { - if (typeof o == "bigint" || o.eq !== undefined) { - return o.toString(10); - } else if (o instanceof Uint8Array) { - return fromRprLE(o, 0); - } else if (Array.isArray(o)) { - return o.map(stringifyBigInts); - } else if (typeof o == "object") { - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = stringifyBigInts(o[k]); - }); - return res; - } else { - return o; - } + if (typeof o == "bigint" || o.eq !== void 0) return o.toString(10); + else if (o instanceof Uint8Array) return fromRprLE(o, 0); + else if (Array.isArray(o)) return o.map(stringifyBigInts); + else if (typeof o == "object") { + const res = {}; + Object.keys(o).forEach((k) => { + 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 (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) { - return BigInt(o); - } else if (Array.isArray(o)) { - return o.map(unstringifyBigInts); - } else if (typeof o == "object") { - if (o === null) return null; - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = unstringifyBigInts(o[k]); - }); - return res; - } else { - return o; - } + if (typeof o == "string" && /^[0-9]+$/.test(o)) return BigInt(o); + else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) return BigInt(o); + else if (Array.isArray(o)) return o.map(unstringifyBigInts); + else if (typeof o == "object") { + if (o === null) return null; + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = unstringifyBigInts(o[k]); + }); + return res; + } else return o; } - function beBuff2int(buff) { - let res = BigInt(0); - let i = buff.length; - let offset = 0; - const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); - while (i > 0) { - if (i >= 4) { - i -= 4; - res += BigInt(buffV.getUint32(i)) << BigInt(offset * 8); - offset += 4; - } else if (i >= 2) { - i -= 2; - res += BigInt(buffV.getUint16(i)) << BigInt(offset * 8); - offset += 2; - } else { - i -= 1; - res += BigInt(buffV.getUint8(i)) << BigInt(offset * 8); - offset += 1; - } - } - return res; + let res = BigInt(0); + let i = buff.length; + let offset = 0; + const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); + while (i > 0) if (i >= 4) { + i -= 4; + res += BigInt(buffV.getUint32(i)) << BigInt(offset * 8); + offset += 4; + } else if (i >= 2) { + i -= 2; + res += BigInt(buffV.getUint16(i)) << BigInt(offset * 8); + offset += 2; + } else { + i -= 1; + res += BigInt(buffV.getUint8(i)) << BigInt(offset * 8); + offset += 1; + } + return res; } - function beInt2Buff(n, len) { - let r = n; - const buff = new Uint8Array(len); - const buffV = new DataView(buff.buffer); - let o = len; - while (o > 0) { - if (o - 4 >= 0) { - o -= 4; - buffV.setUint32(o, Number(r & BigInt(0xffffffff))); - r = r >> BigInt(32); - } else if (o - 2 >= 0) { - o -= 2; - buffV.setUint16(o, Number(r & BigInt(0xffff))); - r = r >> BigInt(16); - } else { - o -= 1; - buffV.setUint8(o, Number(r & BigInt(0xff))); - r = r >> BigInt(8); - } - } - if (r) { - throw new Error("Number does not fit in this length"); - } - return buff; + let r = n; + const buff = new Uint8Array(len); + const buffV = new DataView(buff.buffer); + let o = len; + while (o > 0) if (o - 4 >= 0) { + o -= 4; + buffV.setUint32(o, Number(r & BigInt(4294967295))); + r = r >> BigInt(32); + } else if (o - 2 >= 0) { + o -= 2; + buffV.setUint16(o, Number(r & BigInt(65535))); + r = r >> BigInt(16); + } else { + o -= 1; + buffV.setUint8(o, Number(r & BigInt(255))); + r = r >> BigInt(8); + } + if (r) throw new Error("Number does not fit in this length"); + return buff; } - function leBuff2int(buff) { - let res = BigInt(0); - let i = 0; - const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); - while (i < buff.length) { - if (i + 4 <= buff.length) { - res += BigInt(buffV.getUint32(i, true)) << BigInt(i * 8); - i += 4; - } else if (i + 2 <= buff.length) { - res += BigInt(buffV.getUint16(i, true)) << BigInt(i * 8); - i += 2; - } else { - res += BigInt(buffV.getUint8(i, true)) << BigInt(i * 8); - i += 1; - } - } - return res; + let res = BigInt(0); + let i = 0; + const buffV = new DataView(buff.buffer, buff.byteOffset, buff.byteLength); + while (i < buff.length) if (i + 4 <= buff.length) { + res += BigInt(buffV.getUint32(i, true)) << BigInt(i * 8); + i += 4; + } else if (i + 2 <= buff.length) { + res += BigInt(buffV.getUint16(i, true)) << BigInt(i * 8); + i += 2; + } else { + res += BigInt(buffV.getUint8(i, true)) << BigInt(i * 8); + i += 1; + } + return res; } - function leInt2Buff(n, len) { - let r = n; - if (typeof len === "undefined") { - len = Math.floor((bitLength(n) - 1) / 8) + 1; - if (len == 0) len = 1; - } - const buff = new Uint8Array(len); - const buffV = new DataView(buff.buffer); - let o = 0; - while (o < len) { - if (o + 4 <= len) { - buffV.setUint32(o, Number(r & BigInt(0xffffffff)), true); - o += 4; - r = r >> BigInt(32); - } else if (o + 2 <= len) { - buffV.setUint16(o, Number(r & BigInt(0xffff)), true); - o += 2; - r = r >> BigInt(16); - } else { - buffV.setUint8(o, Number(r & BigInt(0xff)), true); - o += 1; - r = r >> BigInt(8); - } - } - if (r) { - throw new Error("Number does not fit in this length"); - } - return buff; + let r = n; + if (typeof len === "undefined") { + len = Math.floor((bitLength(n) - 1) / 8) + 1; + if (len == 0) len = 1; + } + const buff = new Uint8Array(len); + const buffV = new DataView(buff.buffer); + let o = 0; + while (o < len) if (o + 4 <= len) { + buffV.setUint32(o, Number(r & BigInt(4294967295)), true); + o += 4; + r = r >> BigInt(32); + } else if (o + 2 <= len) { + buffV.setUint16(o, Number(r & BigInt(65535)), true); + o += 2; + r = r >> BigInt(16); + } else { + buffV.setUint8(o, Number(r & BigInt(255)), true); + o += 1; + r = r >> BigInt(8); + } + if (r) throw new Error("Number does not fit in this length"); + return buff; } - function stringifyFElements(F, o) { - if (typeof o == "bigint" || o.eq !== undefined) { - return o.toString(10); - } else if (o instanceof Uint8Array) { - return F.toString(F.e(o)); - } else if (Array.isArray(o)) { - return o.map(stringifyFElements.bind(this, F)); - } else if (typeof o == "object") { - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = stringifyFElements(F, o[k]); - }); - return res; - } else { - return o; - } + if (typeof o == "bigint" || o.eq !== void 0) return o.toString(10); + else if (o instanceof Uint8Array) return F.toString(F.e(o)); + else if (Array.isArray(o)) return o.map(stringifyFElements.bind(this, F)); + else if (typeof o == "object") { + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = stringifyFElements(F, o[k]); + }); + return res; + } else return o; } - function unstringifyFElements(F, o) { - if (typeof o == "string" && /^[0-9]+$/.test(o)) { - return F.e(o); - } else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) { - return F.e(o); - } else if (Array.isArray(o)) { - return o.map(unstringifyFElements.bind(this, F)); - } else if (typeof o == "object") { - if (o === null) return null; - const res = {}; - const keys = Object.keys(o); - keys.forEach((k) => { - res[k] = unstringifyFElements(F, o[k]); - }); - return res; - } else { - return o; - } -} - -const _revTable = []; -for (let i = 0; i < 256; i++) { - _revTable[i] = _revSlow(i, 8); + if (typeof o == "string" && /^[0-9]+$/.test(o)) return F.e(o); + else if (typeof o == "string" && /^0x[0-9a-fA-F]+$/.test(o)) return F.e(o); + else if (Array.isArray(o)) return o.map(unstringifyFElements.bind(this, F)); + else if (typeof o == "object") { + if (o === null) return null; + const res = {}; + Object.keys(o).forEach((k) => { + res[k] = unstringifyFElements(F, o[k]); + }); + return res; + } else return o; } - +var _revTable = []; +for (let i = 0; i < 256; i++) _revTable[i] = _revSlow(i, 8); function _revSlow(idx, bits) { - let res = 0; - let a = idx; - for (let i = 0; i < bits; i++) { - res <<= 1; - res = res | (a & 1); - a >>= 1; - } - return res; + let res = 0; + let a = idx; + for (let i = 0; i < bits; i++) { + res <<= 1; + res = res | a & 1; + a >>= 1; + } + return res; } - function bitReverse(idx, bits) { - return ( - (_revTable[idx >>> 24] | - (_revTable[(idx >>> 16) & 0xff] << 8) | - (_revTable[(idx >>> 8) & 0xff] << 16) | - (_revTable[idx & 0xff] << 24)) >>> - (32 - bits) - ); + return (_revTable[idx >>> 24] | _revTable[idx >>> 16 & 255] << 8 | _revTable[idx >>> 8 & 255] << 16 | _revTable[idx & 255] << 24) >>> 32 - bits; } - 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) - ); + return ((V & 4294901760) !== 0 ? (V &= 4294901760, 16) : 0) | ((V & 4278255360) !== 0 ? (V &= 4278255360, 8) : 0) | ((V & 4042322160) !== 0 ? (V &= 4042322160, 4) : 0) | ((V & 3435973836) !== 0 ? (V &= 3435973836, 2) : 0) | (V & 2863311530) !== 0; } - function buffReverseBits(buff, eSize) { - const n = buff.byteLength / eSize; - const bits = log2(n); - if (n != 1 << bits) { - throw new Error("Invalid number of pointers"); - } - for (let i = 0; i < n; i++) { - const r = bitReverse(i, bits); - if (i > r) { - const tmp = buff.slice(i * eSize, (i + 1) * eSize); - buff.set(buff.slice(r * eSize, (r + 1) * eSize), i * eSize); - buff.set(tmp, r * eSize); - } - } + const n = buff.byteLength / eSize; + const bits = log2(n); + if (n != 1 << bits) + /* c8 ignore start */ + throw new Error("Invalid number of pointers"); + /* c8 ignore stop */ + for (let i = 0; i < n; i++) { + const r = bitReverse(i, bits); + if (i > r) { + const tmp = buff.slice(i * eSize, (i + 1) * eSize); + buff.set(buff.slice(r * eSize, (r + 1) * eSize), i * eSize); + buff.set(tmp, r * eSize); + } + } } - function array2buffer(arr, sG) { - const buff = new Uint8Array(sG * arr.length); - - for (let i = 0; i < arr.length; i++) { - buff.set(arr[i], i * sG); - } - - return buff; + const buff = new Uint8Array(sG * arr.length); + for (let i = 0; i < arr.length; i++) buff.set(arr[i], i * sG); + return buff; } - function buffer2array(buff, sG) { - const n = buff.byteLength / sG; - const arr = new Array(n); - for (let i = 0; i < n; i++) { - arr[i] = buff.slice(i * sG, i * sG + sG); - } - return arr; + const n = buff.byteLength / sG; + const arr = new Array(n); + for (let i = 0; i < n; i++) arr[i] = buff.slice(i * sG, i * sG + sG); + return arr; } - -var _utils = /*#__PURE__*/Object.freeze({ - __proto__: null, - array2buffer: array2buffer, - beBuff2int: beBuff2int, - beInt2Buff: beInt2Buff, - bitReverse: bitReverse, - buffReverseBits: buffReverseBits, - buffer2array: buffer2array, - leBuff2int: leBuff2int, - leInt2Buff: leInt2Buff, - log2: log2, - stringifyBigInts: stringifyBigInts, - stringifyFElements: stringifyFElements, - unstringifyBigInts: unstringifyBigInts, - unstringifyFElements: unstringifyFElements -}); - -const PAGE_SIZE = 1<<30; - -class BigBuffer { - - constructor(size) { - this.buffers = []; - this.byteLength = size; - for (let i=0; i0) { - // bytes to copy from this page - const l = (o+r > PAGE_SIZE) ? (PAGE_SIZE -o) : r; - const srcView = new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset+o, l); - if (l == len) return srcView.slice(); - if (!buff) { - if (len <= PAGE_SIZE) { - buff = new Uint8Array(len); - } else { - buff = new BigBuffer(len); - } - } - buff.set(srcView, len-r); - r = r-l; - p ++; - o = 0; - } - - return buff; - } - - set(buff, offset) { - if (offset === undefined) offset = 0; - - const len = buff.byteLength; - - if (len==0) return; - - const firstPage = Math.floor(offset / PAGE_SIZE); - const lastPage = Math.floor((offset+len-1) / PAGE_SIZE); - - if (firstPage == lastPage) { - if ((buff instanceof BigBuffer)&&(buff.buffers.length==1)) { - return this.buffers[firstPage].set(buff.buffers[0], offset % PAGE_SIZE); - } else { - return this.buffers[firstPage].set(buff, offset % PAGE_SIZE); - } - - } - - - let p = firstPage; - let o = offset % PAGE_SIZE; - let r = len; - while (r>0) { - const l = (o+r > PAGE_SIZE) ? (PAGE_SIZE -o) : r; - const srcView = buff.slice( len -r, len -r+l); - const dstView = new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset + o, l); - dstView.set(srcView); - r = r-l; - p ++; - o = 0; - } - - } -} - +//#endregion +//#region src/bigbuffer.js +var PAGE_SIZE = 1 << 30; +var BigBuffer = class BigBuffer { + constructor(size) { + this.buffers = []; + this.byteLength = size; + for (let i = 0; i < size; i += PAGE_SIZE) { + const n = Math.min(size - i, PAGE_SIZE); + this.buffers.push(new Uint8Array(n)); + } + } + slice(fr, to) { + if (to === void 0) to = this.byteLength; + if (fr === void 0) fr = 0; + const len = to - fr; + const firstPage = Math.floor(fr / PAGE_SIZE); + if (firstPage == Math.floor((fr + len - 1) / PAGE_SIZE) || len == 0) return this.buffers[firstPage].slice(fr % PAGE_SIZE, fr % PAGE_SIZE + len); + let buff; + let p = firstPage; + let o = fr % PAGE_SIZE; + let r = len; + while (r > 0) { + const l = o + r > PAGE_SIZE ? PAGE_SIZE - o : r; + const srcView = new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset + o, l); + if (l == len) return srcView.slice(); + if (!buff) if (len <= PAGE_SIZE) buff = new Uint8Array(len); + else buff = new BigBuffer(len); + buff.set(srcView, len - r); + r = r - l; + p++; + o = 0; + } + return buff; + } + set(buff, offset) { + if (offset === void 0) offset = 0; + const len = buff.byteLength; + if (len == 0) return; + const firstPage = Math.floor(offset / PAGE_SIZE); + if (firstPage == Math.floor((offset + len - 1) / PAGE_SIZE)) if (buff instanceof BigBuffer && buff.buffers.length == 1) + /* c8 ignore start */ + return this.buffers[firstPage].set(buff.buffers[0], offset % PAGE_SIZE); + else return this.buffers[firstPage].set(buff, offset % PAGE_SIZE); + let p = firstPage; + let o = offset % PAGE_SIZE; + let r = len; + while (r > 0) { + const l = o + r > PAGE_SIZE ? PAGE_SIZE - o : r; + const srcView = buff.slice(len - r, len - r + l); + new Uint8Array(this.buffers[p].buffer, this.buffers[p].byteOffset + o, l).set(srcView); + r = r - l; + p++; + o = 0; + } + } +}; +//#endregion +//#region src/engine_batchconvert.js function buildBatchConvert(tm, fnName, sIn, sOut) { - return async function batchConvert(buffIn) { - const nPoints = Math.floor(buffIn.byteLength / sIn); - if ( nPoints * sIn !== buffIn.byteLength) { - throw new Error("Invalid buffer size"); - } - const pointsPerChunk = Math.floor(nPoints/tm.concurrency); - const opPromises = []; - for (let i=0; i=0; i--) { - this.w[i] = this.square(this.w[i+1]); - } - - if (!this.eq(this.w[0], this.one)) { - throw new Error("Error calculating roots of unity"); - } - - this.batchToMontgomery = buildBatchConvert(tm, prefix + "_batchToMontgomery", this.n8, this.n8); - this.batchFromMontgomery = buildBatchConvert(tm, prefix + "_batchFromMontgomery", this.n8, this.n8); - } - - - op2(opName, a, b) { - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - op2Bool(opName, a, b) { - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); - } - - op1(opName, a) { - this.tm.setBuff(this.pOp1, a); - this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - op1Bool(opName, a) { - this.tm.setBuff(this.pOp1, a); - return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); - } - - add(a,b) { - return this.op2("_add", a, b); - } - - - eq(a,b) { - return this.op2Bool("_eq", a, b); - } - - isZero(a) { - return this.op1Bool("_isZero", a); - } - - sub(a,b) { - return this.op2("_sub", a, b); - } - - neg(a) { - return this.op1("_neg", a); - } - - inv(a) { - return this.op1("_inverse", a); - } - - toMontgomery(a) { - return this.op1("_toMontgomery", a); - } - - fromMontgomery(a) { - return this.op1("_fromMontgomery", a); - } - - mul(a,b) { - return this.op2("_mul", a, b); - } - - div(a, b) { - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); - this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - square(a) { - return this.op1("_square", a); - } - - isSquare(a) { - return this.op1Bool("_isSquare", a); - } - - sqrt(a) { - return this.op1("_sqrt", a); - } - - exp(a, b) { - if (!(b instanceof Uint8Array)) { - b = toLEBuff(e(b)); - } - this.tm.setBuff(this.pOp1, a); - this.tm.setBuff(this.pOp2, b); - this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); - return this.tm.getBuff(this.pOp3, this.n8); - } - - isNegative(a) { - return this.op1Bool("_isNegative", a); - } - - e(a, b) { - if (a instanceof Uint8Array) return a; - let ra = e(a, b); - if (isNegative(ra)) { - ra = neg(ra); - if (gt(ra, this.p)) { - ra = mod(ra, this.p); - } - ra = sub(this.p, ra); - } else { - if (gt(ra, this.p)) { - ra = mod(ra, this.p); - } - } - const buff = leInt2Buff(ra, this.n8); - return this.toMontgomery(buff); - } - - toString(a, radix) { - const an = this.fromMontgomery(a); - const s = fromRprLE(an, 0); - return toString(s, radix); - } - - fromRng(rng) { - let v; - const buff = new Uint8Array(this.n8); - do { - v = zero; - for (let i=0; i= 0; i--) this.w[i] = this.square(this.w[i + 1]); + /* c8 ignore start */ + if (!this.eq(this.w[0], this.one)) throw new Error("Error calculating roots of unity"); + /* c8 ignore stop */ + this.batchToMontgomery = buildBatchConvert(tm, prefix + "_batchToMontgomery", this.n8, this.n8); + this.batchFromMontgomery = buildBatchConvert(tm, prefix + "_batchFromMontgomery", this.n8, this.n8); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op2Bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + add(a, b) { + return this.op2("_add", a, b); + } + eq(a, b) { + return this.op2Bool("_eq", a, b); + } + isZero(a) { + return this.op1Bool("_isZero", a); + } + sub(a, b) { + return this.op2("_sub", a, b); + } + neg(a) { + return this.op1("_neg", a); + } + inv(a) { + return this.op1("_inverse", a); + } + toMontgomery(a) { + return this.op1("_toMontgomery", a); + } + fromMontgomery(a) { + return this.op1("_fromMontgomery", a); + } + mul(a, b) { + return this.op2("_mul", a, b); + } + div(a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); + this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + square(a) { + return this.op1("_square", a); + } + isSquare(a) { + return this.op1Bool("_isSquare", a); + } + sqrt(a) { + return this.op1("_sqrt", a); + } + exp(a, b) { + if (!(b instanceof Uint8Array)) b = toLEBuff(e(b)); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + isNegative(a) { + return this.op1Bool("_isNegative", a); + } + e(a, b) { + if (a instanceof Uint8Array) return a; + let ra = e(a, b); + if (isNegative(ra)) { + ra = neg(ra); + if (gt(ra, this.p)) ra = mod(ra, this.p); + ra = sub(this.p, ra); + } else if (gt(ra, this.p)) ra = mod(ra, this.p); + const buff = leInt2Buff(ra, this.n8); + return this.toMontgomery(buff); + } + toString(a, radix) { + return toString(fromRprLE(this.fromMontgomery(a), 0), radix); + } + fromRng(rng) { + let v; + const buff = new Uint8Array(this.n8); + do { + v = zero; + for (let i = 0; i < this.n64; i++) v = add(v, shiftLeft(rng.nextU64(), 64 * i)); + v = band(v, this.mask); + } while (geq(v, this.p)); + toRprLE(buff, 0, v, this.n8); + return buff; + } + random() { + return this.fromRng(getThreadRng()); + } + toObject(a) { + return fromRprLE(this.fromMontgomery(a), 0); + } + fromObject(a) { + const buff = new Uint8Array(this.n8); + toRprLE(buff, 0, a, this.n8); + return this.toMontgomery(buff); + } + toRprLE(buff, offset, a) { + buff.set(this.fromMontgomery(a), offset); + } + toRprBE(buff, offset, a) { + const buff2 = this.fromMontgomery(a); + for (let i = 0; i < this.n8 / 2; i++) { + const aux = buff2[i]; + buff2[i] = buff2[this.n8 - 1 - i]; + buff2[this.n8 - 1 - i] = aux; + } + buff.set(buff2, offset); + } + fromRprLE(buff, offset) { + offset = offset || 0; + const res = buff.slice(offset, offset + this.n8); + return this.toMontgomery(res); + } + async batchInverse(buffIn) { + let returnArray = false; + const sIn = this.n8; + const sOut = this.n8; + if (Array.isArray(buffIn)) { + buffIn = array2buffer(buffIn, sIn); + returnArray = true; + } else buffIn = buffIn.slice(0, buffIn.byteLength); + const nPoints = Math.floor(buffIn.byteLength / sIn); + if (nPoints * sIn !== buffIn.byteLength) + /* c8 ignore start */ + throw new Error("Invalid buffer size"); + /* c8 ignore stop */ + const pointsPerChunk = Math.floor(nPoints / this.tm.concurrency); + const opPromises = []; + for (let i = 0; i < this.tm.concurrency; i++) { + let n; + if (i < this.tm.concurrency - 1) n = pointsPerChunk; + else n = nPoints - i * pointsPerChunk; + if (n == 0) continue; + const buffChunk = buffIn.slice(i * pointsPerChunk * sIn, i * pointsPerChunk * sIn + n * sIn); + const task = [ + { + cmd: "ALLOCSET", + var: 0, + buff: buffChunk + }, + { + cmd: "ALLOC", + var: 1, + len: sOut * n + }, + { + cmd: "CALL", + fnName: this.prefix + "_batchInverse", + params: [ + { var: 0 }, + { val: sIn }, + { val: n }, + { var: 1 }, + { val: sOut } + ] + }, + { + cmd: "GET", + out: 0, + var: 1, + len: sOut * n + } + ]; + opPromises.push(this.tm.queueAction(task, [buffChunk.buffer])); + } + const result = await Promise.all(opPromises); + let fullBuffOut; + if (buffIn instanceof BigBuffer) + /* c8 ignore start */ + fullBuffOut = new BigBuffer(nPoints * sOut); + else fullBuffOut = new Uint8Array(nPoints * sOut); + let p = 0; + for (let i = 0; i < result.length; i++) { + fullBuffOut.set(result[i][0], p); + p += result[i][0].byteLength; + } + if (returnArray) return buffer2array(fullBuffOut, sOut); + else return fullBuffOut; + } +}; +//#endregion +//#region src/wasm_field2.js +var WasmField2 = class { + constructor(tm, prefix, F) { + this.tm = tm; + this.prefix = prefix; + this.F = F; + this.type = "F2"; + this.m = F.m * 2; + this.n8 = this.F.n8 * 2; + this.n32 = this.F.n32 * 2; + this.n64 = this.F.n64 * 2; + this.pOp1 = tm.alloc(F.n8 * 2); + this.pOp2 = tm.alloc(F.n8 * 2); + this.pOp3 = tm.alloc(F.n8 * 2); + this.tm.instance.exports[prefix + "_zero"](this.pOp1); + this.zero = tm.getBuff(this.pOp1, this.n8); + this.tm.instance.exports[prefix + "_one"](this.pOp1); + this.one = tm.getBuff(this.pOp1, this.n8); + this.negone = this.neg(this.one); + this.two = this.add(this.one, this.one); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op2Bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + add(a, b) { + return this.op2("_add", a, b); + } + eq(a, b) { + return this.op2Bool("_eq", a, b); + } + isZero(a) { + return this.op1Bool("_isZero", a); + } + sub(a, b) { + return this.op2("_sub", a, b); + } + neg(a) { + return this.op1("_neg", a); + } + inv(a) { + return this.op1("_inverse", a); + } + isNegative(a) { + return this.op1Bool("_isNegative", a); + } + toMontgomery(a) { + return this.op1("_toMontgomery", a); + } + fromMontgomery(a) { + return this.op1("_fromMontgomery", a); + } + mul(a, b) { + return this.op2("_mul", a, b); + } + mul1(a, b) { + return this.op2("_mul1", a, b); + } + div(a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); + this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + square(a) { + return this.op1("_square", a); + } + isSquare(a) { + return this.op1Bool("_isSquare", a); + } + sqrt(a) { + return this.op1("_sqrt", a); + } + exp(a, b) { + if (!(b instanceof Uint8Array)) b = toLEBuff(e(b)); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + e(a, b) { + if (a instanceof Uint8Array) return a; + if (Array.isArray(a) && a.length == 2) { + const c1 = this.F.e(a[0], b); + const c2 = this.F.e(a[1], b); + const res = new Uint8Array(this.F.n8 * 2); + res.set(c1); + res.set(c2, this.F.n8); + return res; + } else throw new Error("invalid F2"); + } + toString(a, radix) { + return `[${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8), radix)}]`; + } + fromRng(rng) { + const c1 = this.F.fromRng(rng); + const c2 = this.F.fromRng(rng); + const res = new Uint8Array(this.F.n8 * 2); + res.set(c1); + res.set(c2, this.F.n8); + return res; + } + random() { + return this.fromRng(getThreadRng()); + } + toObject(a) { + return [this.F.toObject(a.slice(0, this.F.n8)), this.F.toObject(a.slice(this.F.n8, this.F.n8 * 2))]; + } + fromObject(a) { + const buff = new Uint8Array(this.F.n8 * 2); + const b1 = this.F.fromObject(a[0]); + const b2 = this.F.fromObject(a[1]); + buff.set(b1); + buff.set(b2, this.F.n8); + return buff; + } + c1(a) { + return a.slice(0, this.F.n8); + } + c2(a) { + return a.slice(this.F.n8); + } +}; +//#endregion +//#region src/wasm_field3.js +var WasmField3 = class { + constructor(tm, prefix, F) { + this.tm = tm; + this.prefix = prefix; + this.F = F; + this.type = "F3"; + this.m = F.m * 3; + this.n8 = this.F.n8 * 3; + this.n32 = this.F.n32 * 3; + this.n64 = this.F.n64 * 3; + this.pOp1 = tm.alloc(F.n8 * 3); + this.pOp2 = tm.alloc(F.n8 * 3); + this.pOp3 = tm.alloc(F.n8 * 3); + this.tm.instance.exports[prefix + "_zero"](this.pOp1); + this.zero = tm.getBuff(this.pOp1, this.n8); + this.tm.instance.exports[prefix + "_one"](this.pOp1); + this.one = tm.getBuff(this.pOp1, this.n8); + this.negone = this.neg(this.one); + this.two = this.add(this.one, this.one); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op2Bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + eq(a, b) { + return this.op2Bool("_eq", a, b); + } + isZero(a) { + return this.op1Bool("_isZero", a); + } + add(a, b) { + return this.op2("_add", a, b); + } + sub(a, b) { + return this.op2("_sub", a, b); + } + neg(a) { + return this.op1("_neg", a); + } + inv(a) { + return this.op1("_inverse", a); + } + isNegative(a) { + return this.op1Bool("_isNegative", a); + } + toMontgomery(a) { + return this.op1("_toMontgomery", a); + } + fromMontgomery(a) { + return this.op1("_fromMontgomery", a); + } + mul(a, b) { + return this.op2("_mul", a, b); + } + div(a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_inverse"](this.pOp2, this.pOp2); + this.tm.instance.exports[this.prefix + "_mul"](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + square(a) { + return this.op1("_square", a); + } + /* c8 ignore start */ + isSquare(a) { + return this.op1Bool("_isSquare", a); + } + sqrt(a) { + return this.op1("_sqrt", a); + } + /* c8 ignore stop */ + exp(a, b) { + if (!(b instanceof Uint8Array)) b = toLEBuff(e(b)); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.n8); + } + e(a, b) { + if (a instanceof Uint8Array) return a; + if (Array.isArray(a) && a.length == 3) { + const c1 = this.F.e(a[0], b); + const c2 = this.F.e(a[1], b); + const c3 = this.F.e(a[2], b); + const res = new Uint8Array(this.F.n8 * 3); + res.set(c1); + res.set(c2, this.F.n8); + res.set(c3, this.F.n8 * 2); + return res; + } else throw new Error("invalid F3"); + } + toString(a, radix) { + return `[${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8, this.F.n8 * 2), radix)}, ${this.F.toString(a.slice(this.F.n8 * 2), radix)}]`; + } + fromRng(rng) { + const c1 = this.F.fromRng(rng); + const c2 = this.F.fromRng(rng); + const c3 = this.F.fromRng(rng); + const res = new Uint8Array(this.F.n8 * 3); + res.set(c1); + res.set(c2, this.F.n8); + res.set(c3, this.F.n8 * 2); + return res; + } + random() { + return this.fromRng(getThreadRng()); + } + toObject(a) { + return [ + this.F.toObject(a.slice(0, this.F.n8)), + this.F.toObject(a.slice(this.F.n8, this.F.n8 * 2)), + this.F.toObject(a.slice(this.F.n8 * 2, this.F.n8 * 3)) + ]; + } + fromObject(a) { + const buff = new Uint8Array(this.F.n8 * 3); + const b1 = this.F.fromObject(a[0]); + const b2 = this.F.fromObject(a[1]); + const b3 = this.F.fromObject(a[2]); + buff.set(b1); + buff.set(b2, this.F.n8); + buff.set(b3, this.F.n8 * 2); + return buff; + } + c1(a) { + return a.slice(0, this.F.n8); + } + c2(a) { + return a.slice(this.F.n8, this.F.n8 * 2); + } + c3(a) { + return a.slice(this.F.n8 * 2); + } +}; +//#endregion +//#region src/wasm_curve.js +var WasmCurve = class { + constructor(tm, prefix, F, pGen, pGb, cofactor) { + this.tm = tm; + this.prefix = prefix; + this.F = F; + this.pOp1 = tm.alloc(F.n8 * 3); + this.pOp2 = tm.alloc(F.n8 * 3); + this.pOp3 = tm.alloc(F.n8 * 3); + this.tm.instance.exports[prefix + "_zero"](this.pOp1); + this.zero = this.tm.getBuff(this.pOp1, F.n8 * 3); + this.tm.instance.exports[prefix + "_zeroAffine"](this.pOp1); + this.zeroAffine = this.tm.getBuff(this.pOp1, F.n8 * 2); + this.one = this.tm.getBuff(pGen, F.n8 * 3); + this.g = this.one; + this.oneAffine = this.tm.getBuff(pGen, F.n8 * 2); + this.gAffine = this.oneAffine; + this.b = this.tm.getBuff(pGb, F.n8); + if (cofactor) this.cofactor = toLEBuff(cofactor); + this.negone = this.neg(this.one); + this.two = this.add(this.one, this.one); + this.batchLEMtoC = buildBatchConvert(tm, prefix + "_batchLEMtoC", F.n8 * 2, F.n8); + this.batchLEMtoU = buildBatchConvert(tm, prefix + "_batchLEMtoU", F.n8 * 2, F.n8 * 2); + this.batchCtoLEM = buildBatchConvert(tm, prefix + "_batchCtoLEM", F.n8, F.n8 * 2); + this.batchUtoLEM = buildBatchConvert(tm, prefix + "_batchUtoLEM", F.n8 * 2, F.n8 * 2); + this.batchToJacobian = buildBatchConvert(tm, prefix + "_batchToJacobian", F.n8 * 2, F.n8 * 3); + this.batchToAffine = buildBatchConvert(tm, prefix + "_batchToAffine", F.n8 * 3, F.n8 * 2); + } + op2(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + op2bool(opName, a, b) { + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, b); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp2, this.pOp3); + } + op1(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + op1Affine(opName, a) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 2); + } + op1Bool(opName, a) { + this.tm.setBuff(this.pOp1, a); + return !!this.tm.instance.exports[this.prefix + opName](this.pOp1, this.pOp3); + } + add(a, b) { + if (a.byteLength == this.F.n8 * 3) if (b.byteLength == this.F.n8 * 3) return this.op2("_add", a, b); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_addMixed", a, b); + else throw new Error("invalid point size"); + else if (a.byteLength == this.F.n8 * 2) if (b.byteLength == this.F.n8 * 3) return this.op2("_addMixed", b, a); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_addAffine", a, b); + else throw new Error("invalid point size"); + else throw new Error("invalid point size"); + } + sub(a, b) { + if (a.byteLength == this.F.n8 * 3) if (b.byteLength == this.F.n8 * 3) return this.op2("_sub", a, b); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_subMixed", a, b); + else throw new Error("invalid point size"); + else if (a.byteLength == this.F.n8 * 2) if (b.byteLength == this.F.n8 * 3) return this.neg(this.op2("_subMixed", b, a)); + else if (b.byteLength == this.F.n8 * 2) return this.op2("_subAffine", a, b); + else throw new Error("invalid point size"); + else throw new Error("invalid point size"); + } + neg(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1("_neg", a); + else if (a.byteLength == this.F.n8 * 2) return this.op1Affine("_negAffine", a); + else throw new Error("invalid point size"); + } + double(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1("_double", a); + else if (a.byteLength == this.F.n8 * 2) return this.op1("_doubleAffine", a); + else throw new Error("invalid point size"); + } + isZero(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1Bool("_isZero", a); + else if (a.byteLength == this.F.n8 * 2) return this.op1Bool("_isZeroAffine", a); + else throw new Error("invalid point size"); + } + timesScalar(a, s) { + if (!(s instanceof Uint8Array)) s = toLEBuff(e(s)); + let fnName; + if (a.byteLength == this.F.n8 * 3) fnName = this.prefix + "_timesScalar"; + else if (a.byteLength == this.F.n8 * 2) fnName = this.prefix + "_timesScalarAffine"; + else throw new Error("invalid point size"); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, s); + this.tm.instance.exports[fnName](this.pOp1, this.pOp2, s.byteLength, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + timesFr(a, s) { + let fnName; + if (a.byteLength == this.F.n8 * 3) fnName = this.prefix + "_timesFr"; + else if (a.byteLength == this.F.n8 * 2) fnName = this.prefix + "_timesFrAffine"; + else throw new Error("invalid point size"); + this.tm.setBuff(this.pOp1, a); + this.tm.setBuff(this.pOp2, s); + this.tm.instance.exports[fnName](this.pOp1, this.pOp2, this.pOp3); + return this.tm.getBuff(this.pOp3, this.F.n8 * 3); + } + eq(a, b) { + if (a.byteLength == this.F.n8 * 3) if (b.byteLength == this.F.n8 * 3) return this.op2bool("_eq", a, b); + else if (b.byteLength == this.F.n8 * 2) return this.op2bool("_eqMixed", a, b); + else throw new Error("invalid point size"); + else if (a.byteLength == this.F.n8 * 2) if (b.byteLength == this.F.n8 * 3) return this.op2bool("_eqMixed", b, a); + else if (b.byteLength == this.F.n8 * 2) return this.op2bool("_eqAffine", a, b); + else throw new Error("invalid point size"); + else throw new Error("invalid point size"); + } + toAffine(a) { + if (a.byteLength == this.F.n8 * 3) return this.op1Affine("_toAffine", a); + else if (a.byteLength == this.F.n8 * 2) return a; + else throw new Error("invalid point size"); + } + toJacobian(a) { + if (a.byteLength == this.F.n8 * 3) return a; + else if (a.byteLength == this.F.n8 * 2) return this.op1("_toJacobian", a); + else throw new Error("invalid point size"); + } + toRprUncompressed(arr, offset, a) { + this.tm.setBuff(this.pOp1, a); + if (a.byteLength == this.F.n8 * 3) this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1); + else if (a.byteLength != this.F.n8 * 2) throw new Error("invalid point size"); + this.tm.instance.exports[this.prefix + "_LEMtoU"](this.pOp1, this.pOp1); + const res = this.tm.getBuff(this.pOp1, this.F.n8 * 2); + arr.set(res, offset); + } + fromRprUncompressed(arr, offset) { + const buff = arr.slice(offset, offset + this.F.n8 * 2); + this.tm.setBuff(this.pOp1, buff); + this.tm.instance.exports[this.prefix + "_UtoLEM"](this.pOp1, this.pOp1); + return this.tm.getBuff(this.pOp1, this.F.n8 * 2); + } + toRprCompressed(arr, offset, a) { + this.tm.setBuff(this.pOp1, a); + if (a.byteLength == this.F.n8 * 3) this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1); + else if (a.byteLength != this.F.n8 * 2) throw new Error("invalid point size"); + this.tm.instance.exports[this.prefix + "_LEMtoC"](this.pOp1, this.pOp1); + const res = this.tm.getBuff(this.pOp1, this.F.n8); + arr.set(res, offset); + } + fromRprCompressed(arr, offset) { + const buff = arr.slice(offset, offset + this.F.n8); + this.tm.setBuff(this.pOp1, buff); + this.tm.instance.exports[this.prefix + "_CtoLEM"](this.pOp1, this.pOp2); + return this.tm.getBuff(this.pOp2, this.F.n8 * 2); + } + toUncompressed(a) { + const buff = new Uint8Array(this.F.n8 * 2); + this.toRprUncompressed(buff, 0, a); + return buff; + } + toRprLEM(arr, offset, a) { + if (a.byteLength == this.F.n8 * 2) { + arr.set(a, offset); + return; + } else if (a.byteLength == this.F.n8 * 3) { + this.tm.setBuff(this.pOp1, a); + this.tm.instance.exports[this.prefix + "_toAffine"](this.pOp1, this.pOp1); + const res = this.tm.getBuff(this.pOp1, this.F.n8 * 2); + arr.set(res, offset); + } else throw new Error("invalid point size"); + } + fromRprLEM(arr, offset) { + offset = offset || 0; + return arr.slice(offset, offset + this.F.n8 * 2); + } + toString(a, radix) { + if (a.byteLength == this.F.n8 * 3) return `[ ${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8, this.F.n8 * 2), radix)}, ${this.F.toString(a.slice(this.F.n8 * 2), radix)} ]`; + else if (a.byteLength == this.F.n8 * 2) return `[ ${this.F.toString(a.slice(0, this.F.n8), radix)}, ${this.F.toString(a.slice(this.F.n8), radix)} ]`; + else throw new Error("invalid point size"); + } + isValid(a) { + if (this.isZero(a)) return true; + const F = this.F; + const aa = this.toAffine(a); + const x = aa.slice(0, this.F.n8); + const y = aa.slice(this.F.n8, this.F.n8 * 2); + const x3b = F.add(F.mul(F.square(x), x), this.b); + const y2 = F.square(y); + return F.eq(x3b, y2); + } + fromRng(rng) { + const F = this.F; + let P = []; + let greatest; + let x3b; + do { + P[0] = F.fromRng(rng); + greatest = rng.nextBool(); + x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); + } while (!F.isSquare(x3b)); + P[1] = F.sqrt(x3b); + const s = F.isNegative(P[1]); + if (greatest ^ s) P[1] = F.neg(P[1]); + let Pbuff = new Uint8Array(this.F.n8 * 2); + Pbuff.set(P[0]); + Pbuff.set(P[1], this.F.n8); + if (this.cofactor) Pbuff = this.timesScalar(Pbuff, this.cofactor); + return Pbuff; + } + toObject(a) { + if (this.isZero(a)) return [ + this.F.toObject(this.F.zero), + this.F.toObject(this.F.one), + this.F.toObject(this.F.zero) + ]; + const x = this.F.toObject(a.slice(0, this.F.n8)); + const y = this.F.toObject(a.slice(this.F.n8, this.F.n8 * 2)); + let z; + if (a.byteLength == this.F.n8 * 3) z = this.F.toObject(a.slice(this.F.n8 * 2, this.F.n8 * 3)); + else z = this.F.toObject(this.F.one); + return [ + x, + y, + z + ]; + } + fromObject(a) { + const x = this.F.fromObject(a[0]); + const y = this.F.fromObject(a[1]); + let z; + if (a.length == 3) z = this.F.fromObject(a[2]); + else z = this.F.one; + if (this.F.isZero(z, this.F.one)) return this.zeroAffine; + else if (this.F.eq(z, this.F.one)) { + const buff = new Uint8Array(this.F.n8 * 2); + buff.set(x); + buff.set(y, this.F.n8); + return buff; + } else { + const buff = new Uint8Array(this.F.n8 * 3); + buff.set(x); + buff.set(y, this.F.n8); + buff.set(z, this.F.n8 * 2); + return buff; + } + } + e(a) { + if (a instanceof Uint8Array) return a; + return this.fromObject(a); + } + x(a) { + return this.toAffine(a).slice(0, this.F.n8); + } + y(a) { + return this.toAffine(a).slice(this.F.n8); + } +}; +//#endregion +//#region src/threadman_thread.js function thread(self) { - const MAXMEM = 32767; - let instance; - let memory; - - if (self) { - self.onmessage = function(e) { - let data; - if (e.data) { - data = e.data; - } else { - data = e; - } - - if (data[0].cmd == "INIT") { - init(data[0]).then(function() { - self.postMessage(data.result); - }); - } else if (data[0].cmd == "TERMINATE") { - self.close(); - } else { - const res = runTask(data); - self.postMessage(res); - } - }; - } - - async function init(data) { - const code = new Uint8Array(data.code); - const wasmModule = await WebAssembly.compile(code); - memory = new WebAssembly.Memory({initial:data.init, maximum: MAXMEM}); - - instance = await WebAssembly.instantiate(wasmModule, { - env: { - "memory": memory - } - }); - } - - - - function alloc(length) { - const u32 = new Uint32Array(memory.buffer, 0, 1); - while (u32[0] & 3) u32[0]++; // Return always aligned pointers - const res = u32[0]; - u32[0] += length; - if (u32[0] + length > memory.buffer.byteLength) { - const currentPages = memory.buffer.byteLength / 0x10000; - let requiredPages = Math.floor((u32[0] + length) / 0x10000)+1; - if (requiredPages>MAXMEM) requiredPages=MAXMEM; - memory.grow(requiredPages-currentPages); - } - return res; - } - - function allocBuffer(buffer) { - const p = alloc(buffer.byteLength); - setBuffer(p, buffer); - return p; - } - - function getBuffer(pointer, length) { - const u8 = new Uint8Array(memory.buffer); - return new Uint8Array(u8.buffer, u8.byteOffset + pointer, length); - } - - function setBuffer(pointer, buffer) { - const u8 = new Uint8Array(memory.buffer); - u8.set(new Uint8Array(buffer), pointer); - } - - function runTask(task) { - if (task[0].cmd == "INIT") { - return init(task[0]); - } - const ctx = { - vars: [], - out: [] - }; - const u32a = new Uint32Array(memory.buffer, 0, 1); - const oldAlloc = u32a[0]; - for (let i=0; i (await WebAssembly.instantiate(batchModule, { + env: { "memory": memory }, + curve: { + f_mul: ex[f + "_mul"], + f_square: ex[f + "_square"], + f_add: ex[f + "_add"], + f_sub: ex[f + "_sub"], + f_neg: ex[f + "_neg"], + f_inverse: ex[f + "_inverse"], + f_isZero: ex[f + "_isZero"], + f_conj: ex[conj], + g_add: ex[g + "_add"], + g_addMixed: ex[g + "_addMixed"], + g_double: ex[g + "_double"], + g_zero: ex[g + "_zero"], + g_isZero: ex[g + "_isZero"] + } + })).exports; + const n8f = data.n8f; + batchFns = {}; + if (ex.f1m_mul && ex.g1m_addMixed) { + const b = await mkBatch("f1m", "g1m", "f1m_copy"); + const fn = data.glv && b.multiexpAffineGLV ? b.multiexpAffineGLV : b.multiexpAffine; + batchFns["g1m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn(pB, pS, sS, n, pr, n8f); + batchFns["g1m_multiexpAffineBatchNoGlv"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f); + } + if (ex.f2m_mul && ex.g2m_addMixed) { + const b = await mkBatch("f2m", "g2m", "f2m_conjugate"); + const fn2 = data.glv && b.multiexpAffineGLS ? b.multiexpAffineGLS : b.multiexpAffine; + batchFns["g2m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn2(pB, pS, sS, n, pr, n8f * 2); + batchFns["g2m_multiexpAffineBatchNoGls"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f * 2); + } + } + if (data.terminationTimeout) + /* c8 ignore start */ + terminationTimeout = data.terminationTimeout; + /* c8 ignore stop */ + } + function rev32(x) { + x = (x & 1431655765) << 1 | x >>> 1 & 1431655765; + x = (x & 858993459) << 2 | x >>> 2 & 858993459; + x = (x & 252645135) << 4 | x >>> 4 & 252645135; + x = (x & 16711935) << 8 | x >>> 8 & 16711935; + x = x << 16 | x >>> 16; + return x >>> 0; + } + function reverseInPlace(u8, sIn, bits) { + const n = u8.byteLength / sIn; + const shift = 32 - bits; + if ((sIn & 3) === 0 && (u8.byteOffset & 3) === 0) { + const lanes = sIn >>> 2; + const u32 = new Uint32Array(u8.buffer, u8.byteOffset, u8.byteLength >>> 2); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + let a = i * lanes; + let b = ri * lanes; + for (let l = 0; l < lanes; l++) { + const t = u32[a + l]; + u32[a + l] = u32[b + l]; + u32[b + l] = t; + } + } + } + } else { + /* c8 ignore start */ + const tmp = new Uint8Array(sIn); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + const ao = i * sIn; + const bo = ri * sIn; + tmp.set(u8.subarray(ao, ao + sIn)); + u8.copyWithin(ao, bo, bo + sIn); + u8.set(tmp, bo); + } + } + } + /* c8 ignore stop */ + } + function alloc(length) { + const u32 = new Uint32Array(memory.buffer, 0, 1); + while (u32[0] & 3) u32[0]++; + const res = u32[0]; + u32[0] += length; + if (u32[0] + length > memory.buffer.byteLength) { + /* c8 ignore start */ + const currentPages = memory.buffer.byteLength / 65536; + let requiredPages = Math.floor((u32[0] + length) / 65536) + 1; + if (requiredPages > MAXMEM) requiredPages = MAXMEM; + memory.grow(requiredPages - currentPages); + } + /* c8 ignore stop */ + return res; + } + function allocBuffer(buffer) { + const p = alloc(buffer.byteLength); + setBuffer(p, buffer); + return p; + } + function getBuffer(pointer, length) { + return new Uint8Array(memory.buffer, pointer, length); + } + function setBuffer(pointer, buffer) { + new Uint8Array(memory.buffer).set(new Uint8Array(buffer), pointer); + } + function runTask(task) { + clearTimeout(terminationTimer); + if (task[0].cmd === "INIT") return init(task[0]); + const ctx = { + vars: [], + out: [] + }; + const oldAlloc = new Uint32Array(memory.buffer, 0, 1)[0]; + for (let i = 0; i < task.length; i++) switch (task[i].cmd) { + case "REVERSE": { + const t = task[i]; + reverseInPlace(t.src, t.sIn, t.bits); + ctx.out[0] = t.src; + break; + } + case "ALLOCSET": + ctx.vars[task[i].var] = allocBuffer(task[i].buff); + break; + case "ALLOC": + ctx.vars[task[i].var] = alloc(task[i].len); + break; + case "SET": + setBuffer(ctx.vars[task[i].var], task[i].buff); + break; + case "CALL": { + const params = []; + for (let j = 0; j < task[i].params.length; j++) { + const p = task[i].params[j]; + if (typeof p.var !== "undefined") params.push(ctx.vars[p.var] + (p.offset || 0)); + else if (typeof p.val != "undefined") params.push(p.val); + } + { + const fname = task[i].fnName; + let fn = batchFns ? batchFns[fname] : void 0; + if (!fn) { + fn = instance.exports[fname]; + if (!fn) { + /* c8 ignore start */ + const base = fname.replace(/Batch(NoGls|NoGlv)?$/, ""); + fn = instance.exports[base]; + } + } + fn(...params); + } + break; + } + case "GET": + ctx.out[task[i].out] = getBuffer(ctx.vars[task[i].var], task[i].len).slice(); + break; + default: + /* c8 ignore start */ + throw new Error("Invalid cmd"); + } + const u32b = new Uint32Array(memory.buffer, 0, 1); + u32b[0] = oldAlloc; + return ctx.out; + } + function scheduleTermination() { + /* c8 ignore start */ + clearTimeout(terminationTimer); + if (terminationTimeout > 0) terminationTimer = setTimeout(() => { + if (self) self.postMessage({ status: "want_to_terminate" }); + }, terminationTimeout); + } + function terminate() { + clearTimeout(terminationTimer); + if (self) { + self.postMessage({ status: "terminated" }); + self.close(); + } + } + /* c8 ignore stop */ + return runTask; } - -/* - Copyright 2019 0KIMS association. - - This file is part of wasmsnark (Web Assembly zkSnark Prover). - - wasmsnark is a free software: you can redistribute it and/or modify it - under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - wasmsnark is distributed in the hope that it will be useful, but WITHOUT - ANY WARRANTY; without even the implied warranty of MERCHANTABILITY - or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public - License for more details. - - You should have received a copy of the GNU General Public License - along with wasmsnark. If not, see . -*/ - -// const MEM_SIZE = 1000; // Memory size in 64K Pakes (512Mb) -const MEM_SIZE = 25; // Memory size in 64K Pakes (1600Kb) - -class Deferred { - constructor() { - this.promise = new Promise((resolve, reject)=> { - this.reject = reject; - this.resolve = resolve; - }); - } -} - -function sleep(ms) { - return new Promise(resolve => setTimeout(resolve, ms)); +//#endregion +//#region src/threadman.js +var MEM_SIZE = 25; +var MAX_CONSECUTIVE_BOOT_FAILURES = 8; +var isNode = typeof process !== "undefined" && process.versions != null && process.versions.node != null; +var Deferred = class { + constructor() { + this.promise = new Promise((resolve, reject) => { + this.reject = reject; + this.resolve = resolve; + }); + } +}; +function unrefWorker(worker) { + /* c8 ignore next */ + if (typeof worker.unref === "function") { + worker.unref(); + return; + } + for (const sym of Object.getOwnPropertySymbols(worker)) { + const native = worker[sym]; + if (native && typeof native.unref === "function") { + native.unref(); + return; + } + } } - -let workerSource; - -const threadStr = `(${thread.toString()})(self)`; -if(process.browser) { - if(globalThis?.Blob) { - const threadBytes= new TextEncoder().encode(threadStr); - const workerBlob = new Blob([threadBytes], { type: "application/javascript" }) ; - workerSource = URL.createObjectURL(workerBlob); - } else { - workerSource = "data:application/javascript;base64," + globalThis.btoa(threadStr); - } -} else { - workerSource = "data:application/javascript;base64," + Buffer.from(threadStr).toString("base64"); +var WorkerSlot = class { + constructor(worker) { + this.worker = worker; + this.initialized = false; + this.initializing = false; + this.working = false; + this.pendingDeferred = null; + this.onMsg = null; + this.onError = null; + } +}; +var workerSource; +function getWorkerSource() { + if (workerSource !== void 0) return workerSource; + const threadStr = `(${thread.toString()})(self)`; + if (isNode) workerSource = "data:application/javascript;base64," + Buffer.from(threadStr).toString("base64"); + else if (globalThis?.Blob && globalThis.URL && globalThis.URL.createObjectURL) { + /* c8 ignore start */ + const threadBytes = new TextEncoder().encode(threadStr); + const workerBlob = new Blob([threadBytes], { type: "application/javascript" }); + workerSource = URL.createObjectURL(workerBlob); + } else workerSource = "data:application/javascript;base64," + globalThis.btoa(threadStr); + /* c8 ignore stop */ + return workerSource; } - - - async function buildThreadManager(wasm, singleThread) { - const tm = new ThreadManager(); - - tm.memory = new WebAssembly.Memory({initial:MEM_SIZE}); - tm.u8 = new Uint8Array(tm.memory.buffer); - tm.u32 = new Uint32Array(tm.memory.buffer); - - const wasmModule = await WebAssembly.compile(wasm.code); - - tm.instance = await WebAssembly.instantiate(wasmModule, { - env: { - "memory": tm.memory - } - }); - - if(process.browser && !globalThis?.Worker) { - singleThread = true; - } - - tm.singleThread = singleThread; - tm.initalPFree = tm.u32[0]; // Save the Pointer to free space. - tm.pq = wasm.pq; - tm.pr = wasm.pr; - tm.pG1gen = wasm.pG1gen; - tm.pG1zero = wasm.pG1zero; - tm.pG2gen = wasm.pG2gen; - tm.pG2zero = wasm.pG2zero; - tm.pOneT = wasm.pOneT; - - // tm.pTmp0 = tm.alloc(curve.G2.F.n8*3); - // tm.pTmp1 = tm.alloc(curve.G2.F.n8*3); - - if (singleThread) { - tm.code = wasm.code; - tm.taskManager = thread(); - await tm.taskManager([{ - cmd: "INIT", - init: MEM_SIZE, - code: tm.code.slice() - }]); - tm.concurrency = 1; - } else { - tm.workers = []; - tm.pendingDeferreds = []; - tm.working = []; - - let concurrency = 2; - if (process.browser) { - if (typeof navigator === "object" && navigator.hardwareConcurrency) { - concurrency = navigator.hardwareConcurrency; - } - } else { - concurrency = os.cpus().length; - } - - if(concurrency == 0){ - concurrency = 2; - } - - // Limit to 64 threads for memory reasons. - if (concurrency>64) concurrency=64; - tm.concurrency = concurrency; - - for (let i = 0; i 0); i++) { - if (this.working[i] == false) { - const work = this.actionQueue.shift(); - this.postAction(i, work.data, work.transfers, work.deferred); - } - } - } - - queueAction(actionData, transfers) { - const d = new Deferred(); - - if (this.singleThread) { - const res = this.taskManager(actionData); - d.resolve(res); - } else { - this.actionQueue.push({ - data: actionData, - transfers: transfers, - deferred: d - }); - this.processWorks(); - } - return d.promise; - } - - resetMemory() { - this.u32[0] = this.initalPFree; - } - - allocBuff(buff) { - const pointer = this.alloc(buff.byteLength); - this.setBuff(pointer, buff); - return pointer; - } - - getBuff(pointer, length) { - return this.u8.slice(pointer, pointer+ length); - } - - setBuff(pointer, buffer) { - this.u8.set(new Uint8Array(buffer), pointer); - } - - alloc(length) { - while (this.u32[0] & 3) this.u32[0]++; // Return always aligned pointers - const res = this.u32[0]; - this.u32[0] += length; - return res; - } - - async terminate() { - for (let i=0; i 64) concurrency = 64; + tm.concurrency = concurrency; + } + return tm; } - +var ThreadManager = class { + constructor() { + this.actionQueue = []; + this.oldPFree = 0; + this.bootFailures = 0; + this.bootBroken = null; + } + _failQueueIfUnservable(err) { + const anyAlive = this.pool.some((s) => s); + const anyInitialized = this.pool.some((s) => s && s.initialized); + if (!anyAlive || this.bootBroken && !anyInitialized) { + const cause = this.bootBroken || err; + const queued = this.actionQueue.splice(0, this.actionQueue.length); + for (const work of queued) work.deferred.reject(/* @__PURE__ */ new Error("Worker initialization failed: " + cause.message)); + } + } + _makeOnMsg(slotIndex, slot) { + const tm = this; + return async function(e) { + const data = e && e.data ? e.data : e; + if (tm.pool[slotIndex] !== slot) { + /* c8 ignore start */ + if (data.status === "terminated") { + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + return; + } + if (!data.status && slot.working) { + slot.working = false; + if (data.error) slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Worker error: " + data.error)); + else slot.pendingDeferred.resolve(data); + } + await tm.processWorks(); + return; + } + /* c8 ignore stop */ + if (data.error) { + slot.working = false; + slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Worker error: " + data.error)); + if (slot.initializing) { + slot.initializing = false; + tm.pool[slotIndex] = null; + return; + } + await tm.processWorks(); + return; + } + if (data.status) { + if (data.status === "initialized") { + slot.initializing = false; + slot.initialized = true; + } else if (data.status === "want_to_terminate") { + /* c8 ignore start */ + tm.pool[slotIndex] = null; + slot.worker.postMessage([{ cmd: "TERMINATE" }]); + try { + if (typeof slot.worker.terminate === "function") slot.worker.terminate(); + } catch (e) {} + unrefWorker(slot.worker); + await tm.processWorks(); + return; + } else if (data.status === "terminated") { + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + tm.pool[slotIndex] = null; + if (slot.working) { + /* c8 ignore start */ + slot.pendingDeferred.reject(/* @__PURE__ */ new Error(`Worker at slot ${slotIndex} terminated unexpectedly while processing task`)); + slot.working = false; + } + /* c8 ignore stop */ + return; + } + } + slot.working = false; + slot.pendingDeferred.resolve(data); + await tm.processWorks(); + }; + } + _makeOnError(slotIndex, slot) { + const tm = this; + return function(e) { + if (tm.pool[slotIndex] === slot) { + slot.working = false; + slot.initialized = false; + slot.initializing = false; + tm.pool[slotIndex] = null; + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + if (slot.pendingDeferred) slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Worker error: " + e.message)); + tm.processWorks().catch(() => {}); + } + }; + } + startWorker(slotIndex) { + const nativeWorker = new web_worker.default(getWorkerSource()); + const slot = new WorkerSlot(nativeWorker); + this.pool[slotIndex] = slot; + slot.onMsg = this._makeOnMsg(slotIndex, slot); + slot.onError = this._makeOnError(slotIndex, slot); + nativeWorker.addEventListener("message", slot.onMsg); + nativeWorker.addEventListener("error", slot.onError); + slot.initializing = true; + const tm = this; + this.postAction(slotIndex, [{ + cmd: "INIT", + init: MEM_SIZE, + code: this.wasmModule, + batchCode: this.batchWasmModule, + n8f: this.n8f, + glv: this.glv + }]).then(() => { + slot.initialized = true; + tm.bootFailures = 0; + }, (err) => { + if (tm.pool[slotIndex] === slot) { + /* c8 ignore start */ + tm.pool[slotIndex] = null; + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + } + /* c8 ignore stop */ + slot.initializing = false; + slot.working = false; + tm.bootFailures++; + if (tm.bootFailures >= MAX_CONSECUTIVE_BOOT_FAILURES && !tm.bootBroken) tm.bootBroken = err; + tm._failQueueIfUnservable(err); + }); + } + startSyncOp() { + if (this.oldPFree !== 0) throw new Error("Sync operation in progress"); + this.oldPFree = this.u32[0]; + } + endSyncOp() { + if (this.oldPFree === 0) throw new Error("No sync operation in progress"); + this.u32[0] = this.oldPFree; + this.oldPFree = 0; + } + async postAction(slotIndex, e, transfers, _deferred) { + const slot = this.pool[slotIndex]; + if (!slot || slot.working) { + /* c8 ignore start */ + const err = /* @__PURE__ */ new Error("Posting a job to a working worker"); + if (_deferred) _deferred.reject(err); + throw err; + } + /* c8 ignore stop */ + slot.working = true; + slot.pendingDeferred = _deferred ? _deferred : new Deferred(); + if (transfers) { + for (const t of transfers) if (t instanceof ArrayBuffer && t.byteLength === 0) { + let detached = false; + try { + new Uint8Array(t, 0, 0); + } catch (err) { + detached = true; + } + if (detached) { + slot.working = false; + slot.pendingDeferred.reject(/* @__PURE__ */ new Error("Task transfer list contains a detached ArrayBuffer")); + return slot.pendingDeferred.promise; + } + } + } + try { + await slot.worker.postMessage(e, transfers); + } catch (err) { + slot.working = false; + slot.pendingDeferred.reject(err); + } + return slot.pendingDeferred.promise; + } + async processWorks() { + for (let i = 0; i < this.concurrency && this.actionQueue.length > 0; i++) { + const slot = this.pool[i]; + if (slot && slot.initialized && !slot.working) { + const work = this.actionQueue.shift(); + await this.postAction(i, work.data, work.transfers, work.deferred).catch(() => {}); + } + } + if (this.actionQueue.length > 0) { + if (this.bootBroken) { + /* c8 ignore start */ + this._failQueueIfUnservable(this.bootBroken); + return; + } + /* c8 ignore stop */ + let initializingCount = 0; + for (let i = 0; i < this.concurrency; i++) { + const slot = this.pool[i]; + if (slot) { + if (slot.initializing) initializingCount++; + continue; + } + if (initializingCount >= this.actionQueue.length) break; + initializingCount++; + this.startWorker(i); + } + } + } + async queueAction(actionData, transfers) { + const d = new Deferred(); + if (this.singleThread) { + const res = this.taskManager(actionData); + d.resolve(res); + } else { + const work = { + data: actionData, + transfers, + deferred: d + }; + this.actionQueue.push(work); + try { + await this.processWorks(); + } catch (err) { + /* c8 ignore start */ + const idx = this.actionQueue.indexOf(work); + if (idx >= 0) this.actionQueue.splice(idx, 1); + d.reject(err); + } + } + return d.promise; + } + resetMemory() { + /* c8 ignore start */ + this.u32[0] = this.initalPFree; + } + /* c8 ignore stop */ + allocBuff(buff) { + const pointer = this.alloc(buff.byteLength); + this.setBuff(pointer, buff); + return pointer; + } + getBuff(pointer, length) { + return this.u8.slice(pointer, pointer + length); + } + setBuff(pointer, buffer) { + this.u8.set(new Uint8Array(buffer), pointer); + } + alloc(length) { + while (this.u32[0] & 3) this.u32[0]++; + const res = this.u32[0]; + this.u32[0] += length; + return res; + } + async terminate() { + for (let i = 0; i < this.pool.length; i++) { + const slot = this.pool[i]; + if (!slot) continue; + slot.worker.postMessage([{ cmd: "TERMINATE" }]); + /* c8 ignore next */ + try { + if (typeof slot.worker.terminate === "function") slot.worker.terminate(); + } catch (e) {} + unrefWorker(slot.worker); + this.pool[i] = null; + } + } +}; +//#endregion +//#region src/engine_applykey.js function buildBatchApplyKey(curve, groupName) { - const G = curve[groupName]; - const Fr = curve.Fr; - const tm = curve.tm; - - curve[groupName].batchApplyKey = async function(buff, first, inc, inType, outType) { - inType = inType || "affine"; - outType = outType || "affine"; - let fnName, fnAffine; - let sGin, sGmid, sGout; - if (groupName == "G1") { - if (inType == "jacobian") { - sGin = G.F.n8*3; - fnName = "g1m_batchApplyKey"; - } else { - sGin = G.F.n8*2; - fnName = "g1m_batchApplyKeyMixed"; - } - sGmid = G.F.n8*3; - if (outType == "jacobian") { - sGout = G.F.n8*3; - } else { - fnAffine = "g1m_batchToAffine"; - sGout = G.F.n8*2; - } - } else if (groupName == "G2") { - if (inType == "jacobian") { - sGin = G.F.n8*3; - fnName = "g2m_batchApplyKey"; - } else { - sGin = G.F.n8*2; - fnName = "g2m_batchApplyKeyMixed"; - } - sGmid = G.F.n8*3; - if (outType == "jacobian") { - sGout = G.F.n8*3; - } else { - fnAffine = "g2m_batchToAffine"; - sGout = G.F.n8*2; - } - } else if (groupName == "Fr") { - fnName = "frm_batchApplyKey"; - sGin = G.n8; - sGmid = G.n8; - sGout = G.n8; - } else { - throw new Error("Invalid group: " + groupName); - } - const nPoints = Math.floor(buff.byteLength / sGin); - const pointsPerChunk = Math.floor(nPoints/tm.concurrency); - const opPromises = []; - inc = Fr.e(inc); - let t = Fr.e(first); - for (let i=0; i=0; i--) { - if (!G.isZero(res)) { - for (let j=0; jMAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; - if (chunkSize { - if (logger) logger.debug(`Multiexp end: ${logText}: ${i}/${nPoints}`); - return r; - })); - } - - const result = await Promise.all(opPromises); - - let res = G.zero; - for (let i=result.length-1; i>=0; i--) { - res = G.add(res, result[i]); - } - - return res; - } - - G.multiExp = async function multiExpAffine(buffBases, buffScalars, logger, logText) { - return await _multiExp(buffBases, buffScalars, "jacobian", logger, logText); - }; - G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars, logger, logText) { - return await _multiExp(buffBases, buffScalars, "affine", logger, logText); - }; + const G = curve[groupName]; + const tm = G.tm; + const MAX_CHUNK_SIZE = 1 << 22; + const MIN_CHUNK_SIZE = 4096; + function pointSize(inType) { + return inType === "affine" ? G.F.n8 * 2 : G.F.n8 * 3; + } + const AUTO_BATCH_MAX_BASES_BYTES = 1 << 21; + function batchModeOf(options) { + const m = options ? options.batch : void 0; + if (m === true || m === "enabled") return "enabled"; + if (m === false || m === "disabled") return "disabled"; + return "auto"; + } + function endoOf(options) { + const v = options ? groupName === "G1" ? options.glv : options.gls : void 0; + if (v === false || v === "disabled") return "disabled"; + return "auto"; + } + function trivialFraction(buffScalars, nPoints, sScalar) { + const nSamples = Math.min(64, nPoints); + const step = Math.floor(nPoints / nSamples) || 1; + let trivial = 0; + for (let s = 0; s < nSamples; s++) { + const o = s * step * sScalar; + let top = 0; + for (let k = sScalar - 1; k >= 1; k--) if (buffScalars[o + k] !== 0) { + top = k; + break; + } + if (top === 0 && buffScalars[o] <= 1) trivial++; + } + return trivial / nSamples; + } + function fnNameFor(inType, basesBytes, batchMode, endoMode, scalarsChunk, nPoints, sScalar) { + const g = groupName === "G1" ? "g1m" : "g2m"; + if (inType !== "affine") return `${g}_multiexp`; + let useBatch = batchMode === "enabled" || batchMode === "auto" && basesBytes <= AUTO_BATCH_MAX_BASES_BYTES; + if (!useBatch && batchMode === "auto" && scalarsChunk) useBatch = trivialFraction(scalarsChunk, nPoints, sScalar) >= .5; + if (!useBatch) return `${g}_multiexpAffine`; + return `${g}_multiexpAffineBatch${endoMode === "disabled" ? groupName === "G1" ? "NoGlv" : "NoGls" : ""}`; + } + function chunkSizeFor(nPoints, sScalar) { + const bitChunkSize = pTSizes[log2(nPoints)]; + let nChunks = Math.floor((sScalar * 8 - 1) / bitChunkSize) + 1; + if (groupName === "G2") nChunks *= 2; + nChunks = (Math.floor((nChunks - 1) / tm.concurrency) + 1) * tm.concurrency; + let chunkSize = Math.floor(nPoints / nChunks) + 1; + if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; + if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; + return chunkSize; + } + async function _multiExpChunk(buffBases, buffScalars, inType, batchMode, endoMode, logText) { + if (!(buffBases instanceof Uint8Array)) throw new Error(`${logText} _multiExpChunk buffBases is not Uint8Array`); + if (!(buffScalars instanceof Uint8Array)) throw new Error(`${logText} _multiExpChunk buffScalars is not Uint8Array`); + const sGIn = pointSize(inType); + const nPoints = Math.floor(buffBases.byteLength / sGIn); + if (nPoints === 0) return G.zero; + const sScalar = Math.floor(buffScalars.byteLength / nPoints); + if (sScalar * nPoints !== buffScalars.byteLength) throw new Error(`${logText} Scalar size does not match`); + const task = [ + { + cmd: "ALLOCSET", + var: 0, + buff: buffBases + }, + { + cmd: "ALLOCSET", + var: 1, + buff: buffScalars + }, + { + cmd: "ALLOC", + var: 2, + len: G.F.n8 * 3 + }, + { + cmd: "CALL", + fnName: fnNameFor(inType, buffBases.byteLength, batchMode, endoMode, buffScalars, nPoints, sScalar), + params: [ + { var: 0 }, + { var: 1 }, + { val: sScalar }, + { val: nPoints }, + { var: 2 } + ] + }, + { + cmd: "GET", + out: 0, + var: 2, + len: G.F.n8 * 3 + } + ]; + return (await tm.queueAction(task, [buffBases.buffer, buffScalars.buffer]))[0]; + } + async function _multiExpDispatch(getChunk, buffScalars, nPoints, sGIn, sScalar, inType, maxInFlight, batchMode, endoMode, logger, logText) { + if (nPoints === 0) return G.zero; + const chunkSize = chunkSizeFor(nPoints, sScalar); + const inFlight = /* @__PURE__ */ new Set(); + const partials = []; + try { + for (let off = 0; off < nPoints; off += chunkSize) { + const n = Math.min(nPoints - off, chunkSize); + const at = off; + while (inFlight.size >= maxInFlight) await Promise.race(inFlight); + if (logger) logger.debug(`Multiexp start: ${logText}: ${at}/${nPoints}`); + const slot = (async () => { + const r = await _multiExpChunk(await getChunk(at * sGIn, n * sGIn), buffScalars.slice(at * sScalar, (at + n) * sScalar), inType, batchMode, endoMode, logText); + if (logger) logger.debug(`Multiexp end: ${logText}: ${at}/${nPoints}`); + return r; + })().finally(() => inFlight.delete(slot)); + inFlight.add(slot); + partials.push(slot); + } + const result = await Promise.all(partials); + let res = G.zero; + for (let i = result.length - 1; i >= 0; i--) res = G.add(res, result[i]); + return res; + } catch (err) { + await Promise.allSettled(partials); + throw err; + } + } + function geometry(totalBasesBytes, buffScalars, inType) { + const sGIn = pointSize(inType); + const nPoints = Math.floor(totalBasesBytes / sGIn); + let sScalar = 0; + if (nPoints > 0) { + sScalar = Math.floor(buffScalars.byteLength / nPoints); + if (sScalar * nPoints !== buffScalars.byteLength) throw new Error("Scalar size does not match"); + } + return { + sGIn, + nPoints, + sScalar + }; + } + async function _multiExp(buffBases, buffScalars, inType, batchMode, endoMode, logger, logText) { + const { sGIn, nPoints, sScalar } = geometry(buffBases.byteLength, buffScalars, inType); + const getChunk = (off, len) => buffBases.slice(off, off + len); + return _multiExpDispatch(getChunk, buffScalars, nPoints, sGIn, sScalar, inType, Infinity, batchMode, endoMode, logger, logText); + } + G.multiExp = async function multiExp(buffBases, buffScalars, logger, logText) { + return _multiExp(buffBases, buffScalars, "jacobian", "disabled", "auto", logger, logText); + }; + G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars, logger, logText, options) { + return _multiExp(buffBases, buffScalars, "affine", batchModeOf(options), endoOf(options), logger, logText); + }; + G.multiExpAffineChunked = async function multiExpAffineChunked(basesReader, totalBasesBytes, buffScalars, logger, logText, options) { + if (typeof basesReader !== "function") throw new Error(`${logText || "multiExpAffineChunked"}: basesReader must be a function (byteOffset, byteLength) => Promise`); + const { sGIn, nPoints, sScalar } = geometry(totalBasesBytes, buffScalars, "affine"); + return _multiExpDispatch(basesReader, buffScalars, nPoints, sGIn, sScalar, "affine", tm.concurrency + 2, batchModeOf(options), endoOf(options), logger, logText); + }; } - +//#endregion +//#region src/engine_fft.js function buildFFT(curve, groupName) { - const G = curve[groupName]; - const Fr = curve.Fr; - const tm = G.tm; - async function _fft(buff, inverse, inType, outType, logger, loggerTxt) { - - inType = inType || "affine"; - outType = outType || "affine"; - const MAX_BITS_THREAD = 14; - - let sIn, sMid, sOut, fnIn2Mid, fnMid2Out, fnFFTMix, fnFFTJoin, fnFFTFinal; - if (groupName == "G1") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g1m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - sMid = G.F.n8*3; - if (inverse) { - fnFFTFinal = "g1m_fftFinal"; - } - fnFFTJoin = "g1m_fftJoin"; - fnFFTMix = "g1m_fftMix"; - - if (outType == "affine") { - sOut = G.F.n8*2; - fnMid2Out = "g1m_batchToAffine"; - } else { - sOut = G.F.n8*3; - } - - } else if (groupName == "G2") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g2m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - sMid = G.F.n8*3; - if (inverse) { - fnFFTFinal = "g2m_fftFinal"; - } - fnFFTJoin = "g2m_fftJoin"; - fnFFTMix = "g2m_fftMix"; - if (outType == "affine") { - sOut = G.F.n8*2; - fnMid2Out = "g2m_batchToAffine"; - } else { - sOut = G.F.n8*3; - } - } else if (groupName == "Fr") { - sIn = G.n8; - sMid = G.n8; - sOut = G.n8; - if (inverse) { - fnFFTFinal = "frm_fftFinal"; - } - fnFFTMix = "frm_fftMix"; - fnFFTJoin = "frm_fftJoin"; - } - - - let returnArray = false; - if (Array.isArray(buff)) { - buff = array2buffer(buff, sIn); - returnArray = true; - } else { - buff = buff.slice(0, buff.byteLength); - } - - const nPoints = buff.byteLength / sIn; - const bits = log2(nPoints); - - if ((1 << bits) != nPoints) { - throw new Error("fft must be multiple of 2" ); - } - - if (bits == Fr.s +1) { - let buffOut; - - if (inverse) { - buffOut = await _fftExtInv(buff, inType, outType, logger, loggerTxt); - } else { - buffOut = await _fftExt(buff, inType, outType, logger, loggerTxt); - } - - if (returnArray) { - return buffer2array(buffOut, sOut); - } else { - return buffOut; - } - } - - let inv; - if (inverse) { - inv = Fr.inv(Fr.e(nPoints)); - } - - let buffOut; - - buffReverseBits(buff, sIn); - - let chunks; - let pointsInChunk = Math.min(1 << MAX_BITS_THREAD, nPoints); - let nChunks = nPoints / pointsInChunk; - - while ((nChunks < tm.concurrency)&&(pointsInChunk>=16)) { - nChunks *= 2; - pointsInChunk /= 2; - } - - const l2Chunk = log2(pointsInChunk); - - const promises = []; - for (let i = 0; i< nChunks; i++) { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix start: ${i}/${nChunks}`); - const task = []; - task.push({cmd: "ALLOC", var: 0, len: sMid*pointsInChunk}); - const buffChunk = buff.slice( (pointsInChunk * i)*sIn, (pointsInChunk * (i+1))*sIn); - task.push({cmd: "SET", var: 0, buff: buffChunk}); - if (fnIn2Mid) { - task.push({cmd: "CALL", fnName:fnIn2Mid, params: [{var:0}, {val: pointsInChunk}, {var: 0}]}); - } - for (let j=1; j<=l2Chunk;j++) { - task.push({cmd: "CALL", fnName:fnFFTMix, params: [{var:0}, {val: pointsInChunk}, {val: j}]}); - } - - if (l2Chunk==bits) { - if (fnFFTFinal) { - task.push({cmd: "ALLOCSET", var: 1, buff: inv}); - task.push({cmd: "CALL", fnName: fnFFTFinal, params:[ - {var: 0}, - {val: pointsInChunk}, - {var: 1}, - ]}); - } - if (fnMid2Out) { - task.push({cmd: "CALL", fnName:fnMid2Out, params: [{var:0}, {val: pointsInChunk}, {var: 0}]}); - } - task.push({cmd: "GET", out: 0, var: 0, len: pointsInChunk*sOut}); - } else { - task.push({cmd: "GET", out:0, var: 0, len: sMid*pointsInChunk}); - } - promises.push(tm.queueAction(task).then( (r) => { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix end: ${i}/${nChunks}`); - return r; - })); - } - - chunks = await Promise.all(promises); - for (let i = 0; i< nChunks; i++) chunks[i] = chunks[i][0]; - - for (let i = l2Chunk+1; i<=bits; i++) { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} join: ${i}/${bits}`); - const nGroups = 1 << (bits - i); - const nChunksPerGroup = nChunks / nGroups; - const opPromises = []; - for (let j=0; j { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} join ${i}/${bits} ${j+1}/${nGroups} ${k}/${nChunksPerGroup/2}`); - return r; - })); - } - } - - const res = await Promise.all(opPromises); - for (let j=0; j0; i--) { - buffOut.set(chunks[i], p); - p += pointsInChunk*sOut; - delete chunks[i]; // Liberate mem - } - buffOut.set(chunks[0].slice(0, (pointsInChunk-1)*sOut), p); - delete chunks[0]; - } else { - for (let i=0; i (1<<28)) { - buffOut = new BigBuffer(res1[0].byteLength*2); - } else { - buffOut = new Uint8Array(res1[0].byteLength*2); - } - - buffOut.set(res1[0]); - buffOut.set(res1[1], res1[0].byteLength); - - return buffOut; - } - - async function _fftExtInv(buff, inType, outType, logger, loggerTxt) { - let b1, b2; - b1 = buff.slice( 0 , buff.byteLength/2); - b2 = buff.slice( buff.byteLength/2, buff.byteLength); - - const promises = []; - - promises.push( _fft(b1, true, inType, "jacobian", logger, loggerTxt)); - promises.push( _fft(b2, true, inType, "jacobian", logger, loggerTxt)); - - [b1, b2] = await Promise.all(promises); - - const res1 = await _fftJoinExt(b1, b2, "fftJoinExtInv", Fr.one, Fr.shiftInv, "jacobian", outType, logger, loggerTxt); - - let buffOut; - if (res1[0].byteLength > (1<<28)) { - buffOut = new BigBuffer(res1[0].byteLength*2); - } else { - buffOut = new Uint8Array(res1[0].byteLength*2); - } - - buffOut.set(res1[0]); - buffOut.set(res1[1], res1[0].byteLength); - - return buffOut; - } - - - async function _fftJoinExt(buff1, buff2, fn, first, inc, inType, outType, logger, loggerTxt) { - const MAX_CHUNK_SIZE = 1<<16; - const MIN_CHUNK_SIZE = 1<<4; - - let fnName; - let fnIn2Mid, fnMid2Out; - let sOut, sIn, sMid; - - if (groupName == "G1") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g1m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - sMid = G.F.n8*3; - fnName = "g1m_"+fn; - if (outType == "affine") { - fnMid2Out = "g1m_batchToAffine"; - sOut = G.F.n8*2; - } else { - sOut = G.F.n8*3; - } - } else if (groupName == "G2") { - if (inType == "affine") { - sIn = G.F.n8*2; - fnIn2Mid = "g2m_batchToJacobian"; - } else { - sIn = G.F.n8*3; - } - fnName = "g2m_"+fn; - sMid = G.F.n8*3; - if (outType == "affine") { - fnMid2Out = "g2m_batchToAffine"; - sOut = G.F.n8*2; - } else { - sOut = G.F.n8*3; - } - } else if (groupName == "Fr") { - sIn = Fr.n8; - sOut = Fr.n8; - sMid = Fr.n8; - fnName = "frm_" + fn; - } else { - throw new Error("Invalid group"); - } - - if (buff1.byteLength != buff2.byteLength) { - throw new Error("Invalid buffer size"); - } - const nPoints = Math.floor(buff1.byteLength / sIn); - if (nPoints != 1 << log2(nPoints)) { - throw new Error("Invalid number of points"); - } - - let chunkSize = Math.floor(nPoints /tm.concurrency); - if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; - if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; - - const opPromises = []; - - for (let i=0; i { - if (logger) logger.debug(`${loggerTxt}: fftJoinExt End: ${i}/${nPoints}`); - return r; - }) - ); - } - - const result = await Promise.all(opPromises); - - let fullBuffOut1; - let fullBuffOut2; - if (nPoints * sOut > 1<<28) { - fullBuffOut1 = new BigBuffer(nPoints*sOut); - fullBuffOut2 = new BigBuffer(nPoints*sOut); - } else { - fullBuffOut1 = new Uint8Array(nPoints*sOut); - fullBuffOut2 = new Uint8Array(nPoints*sOut); - } - - let p =0; - for (let i=0; i Fr.s+1) { - if (logger) logger.error("lagrangeEvaluations input too big"); - throw new Error("lagrangeEvaluations input too big"); - } - - let t0 = buff.slice(0, buff.byteLength/2); - let t1 = buff.slice(buff.byteLength/2, buff.byteLength); - - - const shiftToSmallM = Fr.exp(Fr.shift, nPoints/2); - const sConst = Fr.inv( Fr.sub(Fr.one, shiftToSmallM)); - - [t0, t1] = await _fftJoinExt(t0, t1, "prepareLagrangeEvaluation", sConst, Fr.shiftInv, inType, "jacobian", logger, loggerTxt + " prep"); - - const promises = []; - - promises.push( _fft(t0, true, "jacobian", outType, logger, loggerTxt + " t0")); - promises.push( _fft(t1, true, "jacobian", outType, logger, loggerTxt + " t1")); - - [t0, t1] = await Promise.all(promises); - - let buffOut; - if (t0.byteLength > (1<<28)) { - buffOut = new BigBuffer(t0.byteLength*2); - } else { - buffOut = new Uint8Array(t0.byteLength*2); - } - - buffOut.set(t0); - buffOut.set(t1, t0.byteLength); - - return buffOut; - }; - - G.fftMix = async function fftMix(buff) { - const sG = G.F.n8*3; - let fnName, fnFFTJoin; - if (groupName == "G1") { - fnName = "g1m_fftMix"; - fnFFTJoin = "g1m_fftJoin"; - } else if (groupName == "G2") { - fnName = "g2m_fftMix"; - fnFFTJoin = "g2m_fftJoin"; - } else if (groupName == "Fr") { - fnName = "frm_fftMix"; - fnFFTJoin = "frm_fftJoin"; - } else { - throw new Error("Invalid group"); - } - - const nPoints = Math.floor(buff.byteLength / sG); - const power = log2(nPoints); - - let nChunks = 1 << log2(tm.concurrency); - - if (nPoints <= nChunks*2) nChunks = 1; - - const pointsPerChunk = nPoints / nChunks; - - const powerChunk = log2(pointsPerChunk); - - const opPromises = []; - for (let i=0; i=0; i--) { - fullBuffOut.set(result[i][0], p); - p+=result[i][0].byteLength; - } - - return fullBuffOut; - }; + const G = curve[groupName]; + const Fr = curve.Fr; + const tm = G.tm; + async function _reversePermutation(buff, sIn, bits) { + return (await tm.queueAction([{ + cmd: "REVERSE", + src: buff, + sIn, + bits + }], [buff.buffer]))[0]; + } + async function _fft(buff, inverse, inType, outType, logger, loggerTxt, consume) { + inType = inType || "affine"; + outType = outType || "affine"; + const MAX_BITS_THREAD = 14; + let sIn, sMid, sOut, fnIn2Mid, fnMid2Out, fnFFTMix, fnFFTJoin, fnFFTFinal; + if (groupName == "G1") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g1m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + sMid = G.F.n8 * 3; + if (inverse) fnFFTFinal = "g1m_fftFinal"; + fnFFTJoin = "g1m_fftJoin"; + fnFFTMix = "g1m_fftMix"; + if (outType == "affine") { + sOut = G.F.n8 * 2; + fnMid2Out = "g1m_batchToAffine"; + } else sOut = G.F.n8 * 3; + } else if (groupName == "G2") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g2m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + sMid = G.F.n8 * 3; + if (inverse) fnFFTFinal = "g2m_fftFinal"; + fnFFTJoin = "g2m_fftJoin"; + fnFFTMix = "g2m_fftMix"; + if (outType == "affine") { + sOut = G.F.n8 * 2; + fnMid2Out = "g2m_batchToAffine"; + } else sOut = G.F.n8 * 3; + } else if (groupName == "Fr") { + sIn = G.n8; + sMid = G.n8; + sOut = G.n8; + if (inverse) fnFFTFinal = "frm_fftFinal"; + fnFFTMix = "frm_fftMix"; + fnFFTJoin = "frm_fftJoin"; + } + let returnArray = false; + if (Array.isArray(buff)) { + buff = array2buffer(buff, sIn); + returnArray = true; + } else if (!consume || !ArrayBuffer.isView(buff)) buff = buff.slice(0, buff.byteLength); + const nPoints = buff.byteLength / sIn; + const bits = log2(nPoints); + if (1 << bits != nPoints) throw new Error("fft must be multiple of 2"); + /* c8 ignore start */ + if (bits == Fr.s + 1) { + let buffOut; + if (inverse) buffOut = await _fftExtInv(buff, inType, outType, logger, loggerTxt); + else buffOut = await _fftExt(buff, inType, outType, logger, loggerTxt); + if (returnArray) return buffer2array(buffOut, sOut); + else return buffOut; + } + /* c8 ignore stop */ + let inv; + if (inverse) inv = Fr.inv(Fr.e(nPoints)); + let buffOut; + buff = await _reversePermutation(buff, sIn, bits); + let chunks; + let pointsInChunk = Math.min(1 << MAX_BITS_THREAD, nPoints); + let nChunks = nPoints / pointsInChunk; + while (nChunks < tm.concurrency && pointsInChunk >= 16) { + nChunks *= 2; + pointsInChunk /= 2; + } + const l2Chunk = log2(pointsInChunk); + const promises = []; + if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix start: ${nChunks}`); + for (let i = 0; i < nChunks; i++) { + const task = []; + task.push({ + cmd: "ALLOC", + var: 0, + len: sMid * pointsInChunk + }); + const buffChunk = buff.slice(pointsInChunk * i * sIn, pointsInChunk * (i + 1) * sIn); + task.push({ + cmd: "SET", + var: 0, + buff: buffChunk + }); + if (fnIn2Mid) task.push({ + cmd: "CALL", + fnName: fnIn2Mid, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 0 } + ] + }); + for (let j = 1; j <= l2Chunk; j++) task.push({ + cmd: "CALL", + fnName: fnFFTMix, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { val: j } + ] + }); + if (l2Chunk == bits) { + if (fnFFTFinal) { + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: inv + }); + task.push({ + cmd: "CALL", + fnName: fnFFTFinal, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 1 } + ] + }); + } + if (fnMid2Out) task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 0 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsInChunk * sOut + }); + } else task.push({ + cmd: "GET", + out: 0, + var: 0, + len: sMid * pointsInChunk + }); + promises.push(tm.queueAction(task, [buffChunk.buffer])); + } + chunks = await Promise.all(promises); + if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix end: ${nChunks}`); + for (let i = 0; i < nChunks; i++) chunks[i] = chunks[i][0]; + for (let i = l2Chunk + 1; i <= bits; i++) { + if (logger) logger.debug(`${loggerTxt}: fft ${bits} join: ${i}/${bits}`); + const nGroups = 1 << bits - i; + const nChunksPerGroup = nChunks / nGroups; + const opPromises = []; + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const first = Fr.exp(Fr.w[i], k * pointsInChunk); + const inc = Fr.w[i]; + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const task = []; + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: chunks[o1] + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: chunks[o2] + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: first + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + task.push({ + cmd: "CALL", + fnName: fnFFTJoin, + params: [ + { var: 0 }, + { var: 1 }, + { val: pointsInChunk }, + { var: 2 }, + { var: 3 } + ] + }); + if (i == bits) { + if (fnFFTFinal) { + task.push({ + cmd: "ALLOCSET", + var: 4, + buff: inv + }); + task.push({ + cmd: "CALL", + fnName: fnFFTFinal, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 4 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnFFTFinal, + params: [ + { var: 1 }, + { val: pointsInChunk }, + { var: 4 } + ] + }); + } + if (fnMid2Out) { + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 0 }, + { val: pointsInChunk }, + { var: 0 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 1 }, + { val: pointsInChunk }, + { var: 1 } + ] + }); + } + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsInChunk * sOut + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsInChunk * sOut + }); + } else { + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsInChunk * sMid + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsInChunk * sMid + }); + } + opPromises.push(tm.queueAction(task, [ + chunks[o1].buffer, + chunks[o2].buffer, + first.buffer + ])); + } + const res = await Promise.all(opPromises); + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const resChunk = res.shift(); + chunks[o1] = resChunk[0]; + chunks[o2] = resChunk[1]; + } + } + if (buff instanceof BigBuffer) + /* c8 ignore start */ + buffOut = new BigBuffer(nPoints * sOut); + else buffOut = new Uint8Array(nPoints * sOut); + if (inverse) { + buffOut.set(chunks[0].slice((pointsInChunk - 1) * sOut)); + let p = sOut; + for (let i = nChunks - 1; i > 0; i--) { + buffOut.set(chunks[i], p); + p += pointsInChunk * sOut; + delete chunks[i]; + } + buffOut.set(chunks[0].slice(0, (pointsInChunk - 1) * sOut), p); + delete chunks[0]; + } else for (let i = 0; i < nChunks; i++) { + buffOut.set(chunks[i], pointsInChunk * sOut * i); + delete chunks[i]; + } + if (returnArray) return buffer2array(buffOut, sOut); + else return buffOut; + } + /* c8 ignore start */ + async function _fftExt(buff, inType, outType, logger, loggerTxt) { + let b1, b2; + b1 = buff.slice(0, buff.byteLength / 2); + b2 = buff.slice(buff.byteLength / 2, buff.byteLength); + const promises = []; + [b1, b2] = await _fftJoinExt(b1, b2, "fftJoinExt", Fr.one, Fr.shift, inType, "jacobian", logger, loggerTxt); + promises.push(_fft(b1, false, "jacobian", outType, logger, loggerTxt)); + promises.push(_fft(b2, false, "jacobian", outType, logger, loggerTxt)); + const res1 = await Promise.all(promises); + let buffOut; + if (res1[0].byteLength > 1 << 28) buffOut = new BigBuffer(res1[0].byteLength * 2); + else buffOut = new Uint8Array(res1[0].byteLength * 2); + buffOut.set(res1[0]); + buffOut.set(res1[1], res1[0].byteLength); + return buffOut; + } + /* c8 ignore stop */ + /* c8 ignore start */ + async function _fftExtInv(buff, inType, outType, logger, loggerTxt) { + let b1, b2; + b1 = buff.slice(0, buff.byteLength / 2); + b2 = buff.slice(buff.byteLength / 2, buff.byteLength); + const promises = []; + promises.push(_fft(b1, true, inType, "jacobian", logger, loggerTxt)); + promises.push(_fft(b2, true, inType, "jacobian", logger, loggerTxt)); + [b1, b2] = await Promise.all(promises); + const res1 = await _fftJoinExt(b1, b2, "fftJoinExtInv", Fr.one, Fr.shiftInv, "jacobian", outType, logger, loggerTxt); + let buffOut; + if (res1[0].byteLength > 1 << 28) buffOut = new BigBuffer(res1[0].byteLength * 2); + else buffOut = new Uint8Array(res1[0].byteLength * 2); + buffOut.set(res1[0]); + buffOut.set(res1[1], res1[0].byteLength); + return buffOut; + } + /* c8 ignore stop */ + /* c8 ignore start */ + async function _fftJoinExt(buff1, buff2, fn, first, inc, inType, outType, logger, loggerTxt) { + const MAX_CHUNK_SIZE = 65536; + const MIN_CHUNK_SIZE = 16; + let fnName; + let fnIn2Mid, fnMid2Out; + let sOut, sIn, sMid; + if (groupName == "G1") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g1m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + sMid = G.F.n8 * 3; + fnName = "g1m_" + fn; + if (outType == "affine") { + fnMid2Out = "g1m_batchToAffine"; + sOut = G.F.n8 * 2; + } else sOut = G.F.n8 * 3; + } else if (groupName == "G2") { + if (inType == "affine") { + sIn = G.F.n8 * 2; + fnIn2Mid = "g2m_batchToJacobian"; + } else sIn = G.F.n8 * 3; + fnName = "g2m_" + fn; + sMid = G.F.n8 * 3; + if (outType == "affine") { + fnMid2Out = "g2m_batchToAffine"; + sOut = G.F.n8 * 2; + } else sOut = G.F.n8 * 3; + } else if (groupName == "Fr") { + sIn = Fr.n8; + sOut = Fr.n8; + sMid = Fr.n8; + fnName = "frm_" + fn; + } else throw new Error("Invalid group"); + if (buff1.byteLength != buff2.byteLength) throw new Error("Invalid buffer size"); + const nPoints = Math.floor(buff1.byteLength / sIn); + if (nPoints != 1 << log2(nPoints)) throw new Error("Invalid number of points"); + let chunkSize = Math.floor(nPoints / tm.concurrency); + if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; + if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; + const opPromises = []; + for (let i = 0; i < nPoints; i += chunkSize) { + if (logger) logger.debug(`${loggerTxt}: fftJoinExt Start: ${i}/${nPoints}`); + const n = Math.min(nPoints - i, chunkSize); + const firstChunk = Fr.mul(first, Fr.exp(inc, i)); + const task = []; + const b1 = buff1.slice(i * sIn, (i + n) * sIn); + const b2 = buff2.slice(i * sIn, (i + n) * sIn); + task.push({ + cmd: "ALLOC", + var: 0, + len: sMid * n + }); + task.push({ + cmd: "SET", + var: 0, + buff: b1 + }); + task.push({ + cmd: "ALLOC", + var: 1, + len: sMid * n + }); + task.push({ + cmd: "SET", + var: 1, + buff: b2 + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: firstChunk + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + if (fnIn2Mid) { + task.push({ + cmd: "CALL", + fnName: fnIn2Mid, + params: [ + { var: 0 }, + { val: n }, + { var: 0 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnIn2Mid, + params: [ + { var: 1 }, + { val: n }, + { var: 1 } + ] + }); + } + task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { var: 1 }, + { val: n }, + { var: 2 }, + { var: 3 }, + { val: Fr.s } + ] + }); + if (fnMid2Out) { + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 0 }, + { val: n }, + { var: 0 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnMid2Out, + params: [ + { var: 1 }, + { val: n }, + { var: 1 } + ] + }); + } + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: n * sOut + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: n * sOut + }); + opPromises.push(tm.queueAction(task, [ + b1.buffer, + b2.buffer, + firstChunk.buffer + ]).then((r) => { + if (logger) logger.debug(`${loggerTxt}: fftJoinExt End: ${i}/${nPoints}`); + return r; + })); + } + const result = await Promise.all(opPromises); + let fullBuffOut1; + let fullBuffOut2; + if (nPoints * sOut > 1 << 28) { + fullBuffOut1 = new BigBuffer(nPoints * sOut); + fullBuffOut2 = new BigBuffer(nPoints * sOut); + } else { + fullBuffOut1 = new Uint8Array(nPoints * sOut); + fullBuffOut2 = new Uint8Array(nPoints * sOut); + } + let p = 0; + for (let i = 0; i < result.length; i++) { + fullBuffOut1.set(result[i][0], p); + fullBuffOut2.set(result[i][1], p); + p += result[i][0].byteLength; + } + return [fullBuffOut1, fullBuffOut2]; + } + /* c8 ignore stop */ + G.fft = async function(buff, inType, outType, logger, loggerTxt, consume) { + return await _fft(buff, false, inType, outType, logger, loggerTxt, consume); + }; + G.ifft = async function(buff, inType, outType, logger, loggerTxt, consume) { + return await _fft(buff, true, inType, outType, logger, loggerTxt, consume); + }; + G.lagrangeEvaluations = async function(buff, inType, outType, logger, loggerTxt) { + inType = inType || "affine"; + outType = outType || "affine"; + let sIn; + if (groupName == "G1") if (inType == "affine") sIn = G.F.n8 * 2; + else sIn = G.F.n8 * 3; + else if (groupName == "G2") if (inType == "affine") sIn = G.F.n8 * 2; + else sIn = G.F.n8 * 3; + else if (groupName == "Fr") + /* c8 ignore start */ + sIn = Fr.n8; + else throw new Error("Invalid group"); + /* c8 ignore stop */ + const nPoints = buff.byteLength / sIn; + const bits = log2(nPoints); + if (2 ** bits * sIn != buff.byteLength) { + if (logger) logger.error("lagrangeEvaluations iinvalid input size"); + throw new Error("lagrangeEvaluations invalid Input size"); + } + if (bits <= Fr.s) return await G.ifft(buff, inType, outType, logger, loggerTxt); + /* c8 ignore start */ + if (bits > Fr.s + 1) { + if (logger) logger.error("lagrangeEvaluations input too big"); + throw new Error("lagrangeEvaluations input too big"); + } + let t0 = buff.slice(0, buff.byteLength / 2); + let t1 = buff.slice(buff.byteLength / 2, buff.byteLength); + const shiftToSmallM = Fr.exp(Fr.shift, nPoints / 2); + const sConst = Fr.inv(Fr.sub(Fr.one, shiftToSmallM)); + [t0, t1] = await _fftJoinExt(t0, t1, "prepareLagrangeEvaluation", sConst, Fr.shiftInv, inType, "jacobian", logger, loggerTxt + " prep"); + const promises = []; + promises.push(_fft(t0, true, "jacobian", outType, logger, loggerTxt + " t0")); + promises.push(_fft(t1, true, "jacobian", outType, logger, loggerTxt + " t1")); + [t0, t1] = await Promise.all(promises); + let buffOut; + if (t0.byteLength > 1 << 28) buffOut = new BigBuffer(t0.byteLength * 2); + else buffOut = new Uint8Array(t0.byteLength * 2); + buffOut.set(t0); + buffOut.set(t1, t0.byteLength); + return buffOut; + /* c8 ignore stop */ + }; + G.fftMix = async function fftMix(buff) { + const sG = G.F.n8 * 3; + let fnName, fnFFTJoin; + if (groupName == "G1") { + fnName = "g1m_fftMix"; + fnFFTJoin = "g1m_fftJoin"; + } else if (groupName == "G2") { + fnName = "g2m_fftMix"; + fnFFTJoin = "g2m_fftJoin"; + } else if (groupName == "Fr") { + fnName = "frm_fftMix"; + fnFFTJoin = "frm_fftJoin"; + } else throw new Error("Invalid group"); + /* c8 ignore stop */ + const nPoints = Math.floor(buff.byteLength / sG); + const power = log2(nPoints); + let nChunks = 1 << log2(tm.concurrency); + if (nPoints <= nChunks * 2) nChunks = 1; + const pointsPerChunk = nPoints / nChunks; + const powerChunk = log2(pointsPerChunk); + const opPromises = []; + for (let i = 0; i < nChunks; i++) { + const task = []; + const b = buff.slice(i * pointsPerChunk * sG, (i + 1) * pointsPerChunk * sG); + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: b + }); + for (let j = 1; j <= powerChunk; j++) task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { val: pointsPerChunk }, + { val: j } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsPerChunk * sG + }); + opPromises.push(tm.queueAction(task, [b.buffer])); + } + const result = await Promise.all(opPromises); + const chunks = []; + for (let i = 0; i < result.length; i++) chunks[i] = result[i][0]; + for (let i = powerChunk + 1; i <= power; i++) { + const nGroups = 1 << power - i; + const nChunksPerGroup = nChunks / nGroups; + const opPromises = []; + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const first = Fr.exp(Fr.w[i], k * pointsPerChunk); + const inc = Fr.w[i]; + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const task = []; + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: chunks[o1] + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: chunks[o2] + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: first + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + task.push({ + cmd: "CALL", + fnName: fnFFTJoin, + params: [ + { var: 0 }, + { var: 1 }, + { val: pointsPerChunk }, + { var: 2 }, + { var: 3 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsPerChunk * sG + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsPerChunk * sG + }); + opPromises.push(tm.queueAction(task, [ + chunks[o1].buffer, + chunks[o2].buffer, + first.buffer + ])); + } + const res = await Promise.all(opPromises); + for (let j = 0; j < nGroups; j++) for (let k = 0; k < nChunksPerGroup / 2; k++) { + const o1 = j * nChunksPerGroup + k; + const o2 = j * nChunksPerGroup + k + nChunksPerGroup / 2; + const resChunk = res.shift(); + chunks[o1] = resChunk[0]; + chunks[o2] = resChunk[1]; + } + } + let fullBuffOut; + if (buff instanceof BigBuffer) + /* c8 ignore start */ + fullBuffOut = new BigBuffer(nPoints * sG); + else fullBuffOut = new Uint8Array(nPoints * sG); + let p = 0; + for (let i = 0; i < nChunks; i++) { + fullBuffOut.set(chunks[i], p); + p += chunks[i].byteLength; + } + return fullBuffOut; + }; + G.fftJoin = async function fftJoin(buff1, buff2, first, inc) { + const sG = G.F.n8 * 3; + let fnName; + if (groupName == "G1") fnName = "g1m_fftJoin"; + else if (groupName == "G2") fnName = "g2m_fftJoin"; + else if (groupName == "Fr") fnName = "frm_fftJoin"; + else throw new Error("Invalid group"); + /* c8 ignore stop */ + if (buff1.byteLength != buff2.byteLength) throw new Error("Invalid buffer size"); + const nPoints = Math.floor(buff1.byteLength / sG); + if (nPoints != 1 << log2(nPoints)) throw new Error("Invalid number of points"); + let nChunks = 1 << log2(tm.concurrency); + if (nPoints <= nChunks * 2) nChunks = 1; + const pointsPerChunk = nPoints / nChunks; + const opPromises = []; + for (let i = 0; i < nChunks; i++) { + const task = []; + const firstChunk = Fr.mul(first, Fr.exp(inc, i * pointsPerChunk)); + const b1 = buff1.slice(i * pointsPerChunk * sG, (i + 1) * pointsPerChunk * sG); + const b2 = buff2.slice(i * pointsPerChunk * sG, (i + 1) * pointsPerChunk * sG); + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: b1 + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: b2 + }); + task.push({ + cmd: "ALLOCSET", + var: 2, + buff: firstChunk + }); + task.push({ + cmd: "ALLOCSET", + var: 3, + buff: inc + }); + task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { var: 1 }, + { val: pointsPerChunk }, + { var: 2 }, + { var: 3 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: pointsPerChunk * sG + }); + task.push({ + cmd: "GET", + out: 1, + var: 1, + len: pointsPerChunk * sG + }); + opPromises.push(tm.queueAction(task, [ + b1.buffer, + b2.buffer, + firstChunk.buffer + ])); + } + const result = await Promise.all(opPromises); + let fullBuffOut1; + let fullBuffOut2; + if (buff1 instanceof BigBuffer) { + /* c8 ignore start */ + fullBuffOut1 = new BigBuffer(nPoints * sG); + fullBuffOut2 = new BigBuffer(nPoints * sG); + } else { + fullBuffOut1 = new Uint8Array(nPoints * sG); + fullBuffOut2 = new Uint8Array(nPoints * sG); + } + let p = 0; + for (let i = 0; i < result.length; i++) { + fullBuffOut1.set(result[i][0], p); + fullBuffOut2.set(result[i][1], p); + p += result[i][0].byteLength; + } + return [fullBuffOut1, fullBuffOut2]; + }; + G.fftFinal = async function fftFinal(buff, factor) { + const sG = G.F.n8 * 3; + const sGout = G.F.n8 * 2; + let fnName, fnToAffine; + if (groupName == "G1") { + fnName = "g1m_fftFinal"; + fnToAffine = "g1m_batchToAffine"; + } else if (groupName == "G2") { + fnName = "g2m_fftFinal"; + fnToAffine = "g2m_batchToAffine"; + } else throw new Error("Invalid group"); + /* c8 ignore stop */ + const nPoints = Math.floor(buff.byteLength / sG); + if (nPoints != 1 << log2(nPoints)) throw new Error("Invalid number of points"); + const pointsPerChunk = Math.floor(nPoints / tm.concurrency); + const opPromises = []; + for (let i = 0; i < tm.concurrency; i++) { + let n; + if (i < tm.concurrency - 1) n = pointsPerChunk; + else n = nPoints - i * pointsPerChunk; + if (n == 0) continue; + const task = []; + const b = buff.slice(i * pointsPerChunk * sG, (i * pointsPerChunk + n) * sG); + task.push({ + cmd: "ALLOCSET", + var: 0, + buff: b + }); + task.push({ + cmd: "ALLOCSET", + var: 1, + buff: factor + }); + task.push({ + cmd: "CALL", + fnName, + params: [ + { var: 0 }, + { val: n }, + { var: 1 } + ] + }); + task.push({ + cmd: "CALL", + fnName: fnToAffine, + params: [ + { var: 0 }, + { val: n }, + { var: 0 } + ] + }); + task.push({ + cmd: "GET", + out: 0, + var: 0, + len: n * sGout + }); + opPromises.push(tm.queueAction(task, [b.buffer])); + } + const result = await Promise.all(opPromises); + let fullBuffOut; + if (buff instanceof BigBuffer) + /* c8 ignore start */ + fullBuffOut = new BigBuffer(nPoints * sGout); + else fullBuffOut = new Uint8Array(nPoints * sGout); + let p = 0; + for (let i = result.length - 1; i >= 0; i--) { + fullBuffOut.set(result[i][0], p); + p += result[i][0].byteLength; + } + return fullBuffOut; + }; } - +//#endregion +//#region src/engine.js async function buildEngine(params) { - - const tm = await buildThreadManager(params.wasm, params.singleThread); - - - const curve = {}; - - curve.q = e(params.wasm.q.toString()); - curve.r = e(params.wasm.r.toString()); - curve.name = params.name; - curve.tm = tm; - curve.prePSize = params.wasm.prePSize; - curve.preQSize = params.wasm.preQSize; - curve.Fr = new WasmField1(tm, "frm", params.n8r, params.r); - curve.F1 = new WasmField1(tm, "f1m", params.n8q, params.q); - curve.F2 = new WasmField2(tm, "f2m", curve.F1); - curve.G1 = new WasmCurve(tm, "g1m", curve.F1, params.wasm.pG1gen, params.wasm.pG1b, params.cofactorG1); - curve.G2 = new WasmCurve(tm, "g2m", curve.F2, params.wasm.pG2gen, params.wasm.pG2b, params.cofactorG2); - curve.F6 = new WasmField3(tm, "f6m", curve.F2); - curve.F12 = new WasmField2(tm, "ftm", curve.F6); - - curve.Gt = curve.F12; - - buildBatchApplyKey(curve, "G1"); - buildBatchApplyKey(curve, "G2"); - buildBatchApplyKey(curve, "Fr"); - - buildMultiexp(curve, "G1"); - buildMultiexp(curve, "G2"); - - buildFFT(curve, "G1"); - buildFFT(curve, "G2"); - buildFFT(curve, "Fr"); - - buildPairing(curve); - - curve.array2buffer = function(arr, sG) { - const buff = new Uint8Array(sG*arr.length); - - for (let i=0; i 0 && b64[len - 1] === "=") pad++; + if (len > 1 && b64[len - 2] === "=") pad++; + const outLen = (len * 3 >> 2) - pad; + const out = new Uint8Array(outLen); + let o = 0; + for (let i = 0; i < len; i += 4) { + const a = LOOKUP[b64.charCodeAt(i)]; + const b = LOOKUP[b64.charCodeAt(i + 1)]; + const c = LOOKUP[b64.charCodeAt(i + 2)]; + const d = LOOKUP[b64.charCodeAt(i + 3)]; + if (o < outLen) out[o++] = a << 2 | b >> 4; + if (o < outLen) out[o++] = (b & 15) << 4 | c >> 2; + if (o < outLen) out[o++] = (c & 3) << 6 | d; + } + return out; +} +function base64ToUint8Array(b64) { + if (typeof Buffer !== "undefined" && typeof Buffer.from === "function") return new Uint8Array(Buffer.from(b64, "base64")); + if (typeof atob === "function") { + const bin = atob(b64); + const out = new Uint8Array(bin.length); + for (let i = 0; i < bin.length; i++) out[i] = bin.charCodeAt(i); + return out; + } + return decodePureJs(b64); } - -globalThis.curve_bn128 = null; - +//#endregion +//#region src/bn128.js +var curve_bn128 = null; async function buildBn128(singleThread, plugins) { - if ((!singleThread) && (globalThis.curve_bn128)) return globalThis.curve_bn128; - - const moduleBuilder = new wasmbuilder.ModuleBuilder(); - moduleBuilder.setMemory(25); - wasmcurves.buildBn128(moduleBuilder); - - if (plugins) plugins(moduleBuilder); - - const bn128wasm = {}; - - bn128wasm.code = moduleBuilder.build(); - bn128wasm.pq = moduleBuilder.modules.f1m.pq; - bn128wasm.pr = moduleBuilder.modules.frm.pq; - bn128wasm.pG1gen = moduleBuilder.modules.bn128.pG1gen; - bn128wasm.pG1zero = moduleBuilder.modules.bn128.pG1zero; - bn128wasm.pG1b = moduleBuilder.modules.bn128.pG1b; - bn128wasm.pG2gen = moduleBuilder.modules.bn128.pG2gen; - bn128wasm.pG2zero = moduleBuilder.modules.bn128.pG2zero; - bn128wasm.pG2b = moduleBuilder.modules.bn128.pG2b; - bn128wasm.pOneT = moduleBuilder.modules.bn128.pOneT; - bn128wasm.prePSize = moduleBuilder.modules.bn128.prePSize; - bn128wasm.preQSize = moduleBuilder.modules.bn128.preQSize; - bn128wasm.n8q = 32; - bn128wasm.n8r = 32; - bn128wasm.q = moduleBuilder.modules.bn128.q; - bn128wasm.r = moduleBuilder.modules.bn128.r; - - const params = { - name: "bn128", - wasm: bn128wasm, - q: e("21888242871839275222246405745257275088696311157297823662689037894645226208583"), - r: e("21888242871839275222246405745257275088548364400416034343698204186575808495617"), - n8q: 32, - n8r: 32, - cofactorG2: e("30644e72e131a029b85045b68181585e06ceecda572a2489345f2299c0f9fa8d", 16), - singleThread: singleThread ? true : false - }; - - const curve = await buildEngine(params); - curve.terminate = async function () { - if (!params.singleThread) { - globalThis.curve_bn128 = null; - await this.tm.terminate(); - } - }; - - if (!singleThread) { - globalThis.curve_bn128 = curve; - } - - return curve; + if (!singleThread && curve_bn128) return curve_bn128; + let bn128wasm = {}; + if (!plugins) { + bn128wasm.code = base64ToUint8Array(code$2); + bn128wasm.pq = 488; + bn128wasm.pr = 488; + bn128wasm.pG1gen = pG1gen$1; + bn128wasm.pG1zero = pG1zero$1; + bn128wasm.pG1b = pG1b$1; + bn128wasm.pG2gen = pG2gen$1; + bn128wasm.pG2zero = pG2zero$1; + bn128wasm.pG2b = pG2b$1; + bn128wasm.pOneT = pOneT$1; + bn128wasm.prePSize = 192; + bn128wasm.preQSize = preQSize$1; + bn128wasm.n8q = 32; + bn128wasm.n8r = 32; + bn128wasm.q = q$1; + bn128wasm.r = r$1; + } else { + const { ModuleBuilder } = await import("wasmbuilder"); + const { buildBn128: buildBn128wasm } = await import("wasmcurves"); + const moduleBuilder = new ModuleBuilder(); + moduleBuilder.setMemory(25); + buildBn128wasm(moduleBuilder); + if (plugins) plugins(moduleBuilder); + bn128wasm.code = moduleBuilder.build(); + bn128wasm.pq = moduleBuilder.modules.f1m.pq; + bn128wasm.pr = moduleBuilder.modules.frm.pq; + bn128wasm.pG1gen = moduleBuilder.modules.bn128.pG1gen; + bn128wasm.pG1zero = moduleBuilder.modules.bn128.pG1zero; + bn128wasm.pG1b = moduleBuilder.modules.bn128.pG1b; + bn128wasm.pG2gen = moduleBuilder.modules.bn128.pG2gen; + bn128wasm.pG2zero = moduleBuilder.modules.bn128.pG2zero; + bn128wasm.pG2b = moduleBuilder.modules.bn128.pG2b; + bn128wasm.pOneT = moduleBuilder.modules.bn128.pOneT; + bn128wasm.prePSize = moduleBuilder.modules.bn128.prePSize; + bn128wasm.preQSize = moduleBuilder.modules.bn128.preQSize; + bn128wasm.n8q = 32; + bn128wasm.n8r = 32; + bn128wasm.q = moduleBuilder.modules.bn128.q; + bn128wasm.r = moduleBuilder.modules.bn128.r; + } + bn128wasm.batchCode = base64ToUint8Array(code$1); + bn128wasm.glv = true; + const params = { + name: "bn128", + wasm: bn128wasm, + q: e("21888242871839275222246405745257275088696311157297823662689037894645226208583"), + r: e("21888242871839275222246405745257275088548364400416034343698204186575808495617"), + n8q: 32, + n8r: 32, + cofactorG2: e("30644e72e131a029b85045b68181585e06ceecda572a2489345f2299c0f9fa8d", 16), + singleThread: singleThread ? true : false + }; + const curve = await buildEngine(params); + curve.terminate = async function() { + if (!params.singleThread) { + curve_bn128 = null; + await this.tm.terminate(); + } + }; + if (!singleThread) curve_bn128 = curve; + return curve; } - -globalThis.curve_bls12381 = null; - +//#endregion +//#region src/wasm/bls12381_wasm.js +var code = "AGFzbQEAAAABjwERYAJ/fwBgA39/fwBgAX8Bf2AEf39/fwBgBX9/f39/AGABfwBgAn9/AX9gBn9/f39/fwBgA39/fwF/YAh/f39/f39/fwBgAn9+AGAEf39/fwF/YAp/f39/f39/f39/AGAFf39/f38Bf2AHf39/f39/fwF/YAl/f39/f39/f38Bf2ALf39/f39/f39/f38BfwIPAQNlbnYGbWVtb3J5AgAZA68CrQIABQIFBgYICAEAAAoDAQIBAQAAAQAAAAACAgAFAQMEAQEDAAIABQIFBgYICAEAAAMBAgEBAAABAAAAAAICAAUBAwQBAQMAAgEAAAICAgUFAAAABgYGAAABAQEAAAEBAQAAAAAAAgIBAAEAAAAAAQEBAQELBwkECQQDAwADAgAABAcHAQEHAAMMBAMCBQABAQABAQAAAwICBAMAAgICBQUAAAAGBgYAAAEBAQAAAQEBAAAAAAACAgEAAAAAAAEBAQEBCQQJBAMDAQADAAAEBwcBAQcBAAMAAAQHBwEBBwEBBAQEBAQAAgIFBQABAAEBAAIGAAMCBAMAAgIFBQABAQABAQAAAAAGAAMCAgQDAAIBAwQBAAAAAAAAAAAAAAICAgIAAAEAAAAACA0ODxABB74nvQIJaW50cV9jb3B5AAAJaW50cV96ZXJvAAEIaW50cV9vbmUAAwtpbnRxX2lzWmVybwACB2ludHFfZXEABAhpbnRxX2d0ZQAFCGludHFfYWRkAAYIaW50cV9zdWIABwhpbnRxX211bAAIC2ludHFfc3F1YXJlAAkOaW50cV9zcXVhcmVPbGQACghpbnRxX2RpdgAMD2ludHFfaW52ZXJzZU1vZAANCGYxbV9jb3B5AAAIZjFtX3plcm8AAQpmMW1faXNaZXJvAAIGZjFtX2VxAAQHZjFtX2FkZAAPB2YxbV9zdWIAEAdmMW1fbmVnABEOZjFtX2lzTmVnYXRpdmUAGAlmMW1faXNPbmUADghmMW1fc2lnbgAZC2YxbV9tUmVkdWN0ABIHZjFtX211bAATCmYxbV9zcXVhcmUAFA1mMW1fc3F1YXJlT2xkABUSZjFtX2Zyb21Nb250Z29tZXJ5ABcQZjFtX3RvTW9udGdvbWVyeQAWC2YxbV9pbnZlcnNlABoHZjFtX29uZQAbCGYxbV9sb2FkABwPZjFtX3RpbWVzU2NhbGFyAB0HZjFtX2V4cAAhEGYxbV9iYXRjaEludmVyc2UAHghmMW1fc3FydAAiDGYxbV9pc1NxdWFyZQAjFWYxbV9iYXRjaFRvTW9udGdvbWVyeQAfF2YxbV9iYXRjaEZyb21Nb250Z29tZXJ5ACAJaW50cl9jb3B5ACQJaW50cl96ZXJvACUIaW50cl9vbmUAJwtpbnRyX2lzWmVybwAmB2ludHJfZXEAKAhpbnRyX2d0ZQApCGludHJfYWRkACoIaW50cl9zdWIAKwhpbnRyX211bAAsC2ludHJfc3F1YXJlAC0OaW50cl9zcXVhcmVPbGQALghpbnRyX2RpdgAvD2ludHJfaW52ZXJzZU1vZAAwCGZybV9jb3B5ACQIZnJtX3plcm8AJQpmcm1faXNaZXJvACYGZnJtX2VxACgHZnJtX2FkZAAyB2ZybV9zdWIAMwdmcm1fbmVnADQOZnJtX2lzTmVnYXRpdmUAOwlmcm1faXNPbmUAMQhmcm1fc2lnbgA8C2ZybV9tUmVkdWN0ADUHZnJtX211bAA2CmZybV9zcXVhcmUANw1mcm1fc3F1YXJlT2xkADgSZnJtX2Zyb21Nb250Z29tZXJ5ADoQZnJtX3RvTW9udGdvbWVyeQA5C2ZybV9pbnZlcnNlAD0HZnJtX29uZQA+CGZybV9sb2FkAD8PZnJtX3RpbWVzU2NhbGFyAEAHZnJtX2V4cABEEGZybV9iYXRjaEludmVyc2UAQQhmcm1fc3FydABFDGZybV9pc1NxdWFyZQBGFWZybV9iYXRjaFRvTW9udGdvbWVyeQBCF2ZybV9iYXRjaEZyb21Nb250Z29tZXJ5AEMGZnJfYWRkADIGZnJfc3ViADMGZnJfbmVnADQGZnJfbXVsAEcJZnJfc3F1YXJlAEgKZnJfaW52ZXJzZQBJDWZyX2lzTmVnYXRpdmUASgdmcl9jb3B5ACQHZnJfemVybwAlBmZyX29uZQA+CWZyX2lzWmVybwAmBWZyX2VxACgMZzFtX211bHRpZXhwAHUSZzFtX211bHRpZXhwX2NodW5rAHQSZzFtX211bHRpZXhwQWZmaW5lAHcYZzFtX211bHRpZXhwQWZmaW5lX2NodW5rAHYKZzFtX2lzWmVybwBMEGcxbV9pc1plcm9BZmZpbmUASwZnMW1fZXEAVAtnMW1fZXFNaXhlZABTDGcxbV9lcUFmZmluZQBSCGcxbV9jb3B5AFAOZzFtX2NvcHlBZmZpbmUATwhnMW1femVybwBODmcxbV96ZXJvQWZmaW5lAE0KZzFtX2RvdWJsZQBWEGcxbV9kb3VibGVBZmZpbmUAVQdnMW1fYWRkAFkMZzFtX2FkZE1peGVkAFgNZzFtX2FkZEFmZmluZQBXB2cxbV9uZWcAWw1nMW1fbmVnQWZmaW5lAFoHZzFtX3N1YgBeDGcxbV9zdWJNaXhlZABdDWcxbV9zdWJBZmZpbmUAXBJnMW1fZnJvbU1vbnRnb21lcnkAYBhnMW1fZnJvbU1vbnRnb21lcnlBZmZpbmUAXxBnMW1fdG9Nb250Z29tZXJ5AGIWZzFtX3RvTW9udGdvbWVyeUFmZmluZQBhD2cxbV90aW1lc1NjYWxhcgB4FWcxbV90aW1lc1NjYWxhckFmZmluZQB5DWcxbV9ub3JtYWxpemUAZwpnMW1fTEVNdG9VAGkKZzFtX0xFTXRvQwBqCmcxbV9VdG9MRU0AawpnMW1fQ3RvTEVNAGwPZzFtX2JhdGNoTEVNdG9VAG0PZzFtX2JhdGNoTEVNdG9DAG4PZzFtX2JhdGNoVXRvTEVNAG8PZzFtX2JhdGNoQ3RvTEVNAHAMZzFtX3RvQWZmaW5lAGMOZzFtX3RvSmFjb2JpYW4AURFnMW1fYmF0Y2hUb0FmZmluZQBmE2cxbV9iYXRjaFRvSmFjb2JpYW4AcQtnMW1faW5DdXJ2ZQBlEWcxbV9pbkN1cnZlQWZmaW5lAGQXZnJtX19yZXZlcnNlUGVybXV0YXRpb24Aegdmcm1fZmZ0AH0IZnJtX2lmZnQAfgpmcm1fcmF3ZmZ0AHsLZnJtX2ZmdEpvaW4Afw5mcm1fZmZ0Sm9pbkV4dACAARFmcm1fZmZ0Sm9pbkV4dEludgCBAQpmcm1fZmZ0TWl4AIIBDGZybV9mZnRGaW5hbACDAR1mcm1fcHJlcGFyZUxhZ3JhbmdlRXZhbHVhdGlvbgCEAQhwb2xfemVybwCFAQ9wb2xfY29uc3RydWN0TEMAhgEMcWFwX2J1aWxkQUJDAIcBC3FhcF9qb2luQUJDAIgBDHFhcF9iYXRjaEFkZACJAQpmMm1faXNaZXJvAEsJZjJtX2lzT25lAIoBCGYybV96ZXJvAE0HZjJtX29uZQCLAQhmMm1fY29weQCMAQdmMm1fbXVsAI0BCGYybV9tdWwxAI4BCmYybV9zcXVhcmUAjwEHZjJtX2FkZACQAQdmMm1fc3ViAJEBB2YybV9uZWcAkgEIZjJtX3NpZ24AlQENZjJtX2Nvbmp1Z2F0ZQBaEmYybV9mcm9tTW9udGdvbWVyeQBfEGYybV90b01vbnRnb21lcnkAYQZmMm1fZXEAUgtmMm1faW52ZXJzZQCTAQdmMm1fZXhwAJgBD2YybV90aW1lc1NjYWxhcgCUARBmMm1fYmF0Y2hJbnZlcnNlAJcBCGYybV9zcXJ0AJkBDGYybV9pc1NxdWFyZQCaAQ5mMm1faXNOZWdhdGl2ZQCWAQxnMm1fbXVsdGlleHAAwgESZzJtX211bHRpZXhwX2NodW5rAMEBEmcybV9tdWx0aWV4cEFmZmluZQDEARhnMm1fbXVsdGlleHBBZmZpbmVfY2h1bmsAwwEKZzJtX2lzWmVybwCcARBnMm1faXNaZXJvQWZmaW5lAJsBBmcybV9lcQCkAQtnMm1fZXFNaXhlZACjAQxnMm1fZXFBZmZpbmUAogEIZzJtX2NvcHkAoAEOZzJtX2NvcHlBZmZpbmUAnwEIZzJtX3plcm8AngEOZzJtX3plcm9BZmZpbmUAnQEKZzJtX2RvdWJsZQCmARBnMm1fZG91YmxlQWZmaW5lAKUBB2cybV9hZGQAqQEMZzJtX2FkZE1peGVkAKgBDWcybV9hZGRBZmZpbmUApwEHZzJtX25lZwCrAQ1nMm1fbmVnQWZmaW5lAKoBB2cybV9zdWIArgEMZzJtX3N1Yk1peGVkAK0BDWcybV9zdWJBZmZpbmUArAESZzJtX2Zyb21Nb250Z29tZXJ5ALABGGcybV9mcm9tTW9udGdvbWVyeUFmZmluZQCvARBnMm1fdG9Nb250Z29tZXJ5ALIBFmcybV90b01vbnRnb21lcnlBZmZpbmUAsQEPZzJtX3RpbWVzU2NhbGFyAMUBFWcybV90aW1lc1NjYWxhckFmZmluZQDGAQ1nMm1fbm9ybWFsaXplALcBCmcybV9MRU10b1UAuAEKZzJtX0xFTXRvQwC5AQpnMm1fVXRvTEVNALoBCmcybV9DdG9MRU0AuwEPZzJtX2JhdGNoTEVNdG9VALwBD2cybV9iYXRjaExFTXRvQwC9AQ9nMm1fYmF0Y2hVdG9MRU0AvgEPZzJtX2JhdGNoQ3RvTEVNAL8BDGcybV90b0FmZmluZQCzAQ5nMm1fdG9KYWNvYmlhbgChARFnMm1fYmF0Y2hUb0FmZmluZQC2ARNnMm1fYmF0Y2hUb0phY29iaWFuAMABC2cybV9pbkN1cnZlALUBEWcybV9pbkN1cnZlQWZmaW5lALQBC2cxbV90aW1lc0ZyAMcBF2cxbV9fcmV2ZXJzZVBlcm11dGF0aW9uAMgBB2cxbV9mZnQAygEIZzFtX2lmZnQAywEKZzFtX3Jhd2ZmdADJAQtnMW1fZmZ0Sm9pbgDMAQ5nMW1fZmZ0Sm9pbkV4dADNARFnMW1fZmZ0Sm9pbkV4dEludgDOAQpnMW1fZmZ0TWl4AM8BDGcxbV9mZnRGaW5hbADQAR1nMW1fcHJlcGFyZUxhZ3JhbmdlRXZhbHVhdGlvbgDRAQtnMm1fdGltZXNGcgDSARdnMm1fX3JldmVyc2VQZXJtdXRhdGlvbgDTAQdnMm1fZmZ0ANUBCGcybV9pZmZ0ANYBCmcybV9yYXdmZnQA1AELZzJtX2ZmdEpvaW4A1wEOZzJtX2ZmdEpvaW5FeHQA2AERZzJtX2ZmdEpvaW5FeHRJbnYA2QEKZzJtX2ZmdE1peADaAQxnMm1fZmZ0RmluYWwA2wEdZzJtX3ByZXBhcmVMYWdyYW5nZUV2YWx1YXRpb24A3AERZzFtX3RpbWVzRnJBZmZpbmUA3QERZzJtX3RpbWVzRnJBZmZpbmUA3gERZnJtX2JhdGNoQXBwbHlLZXkA3wERZzFtX2JhdGNoQXBwbHlLZXkA4AEWZzFtX2JhdGNoQXBwbHlLZXlNaXhlZADhARFnMm1fYmF0Y2hBcHBseUtleQDiARZnMm1fYmF0Y2hBcHBseUtleU1peGVkAOMBCmY2bV9pc1plcm8A5QEJZjZtX2lzT25lAOYBCGY2bV96ZXJvAOcBB2Y2bV9vbmUA6AEIZjZtX2NvcHkA6QEHZjZtX211bADqAQpmNm1fc3F1YXJlAOsBB2Y2bV9hZGQA7AEHZjZtX3N1YgDtAQdmNm1fbmVnAO4BCGY2bV9zaWduAO8BEmY2bV9mcm9tTW9udGdvbWVyeQCwARBmNm1fdG9Nb250Z29tZXJ5ALIBBmY2bV9lcQDwAQtmNm1faW52ZXJzZQDxAQdmNm1fZXhwAPUBD2Y2bV90aW1lc1NjYWxhcgDyARBmNm1fYmF0Y2hJbnZlcnNlAPQBDmY2bV9pc05lZ2F0aXZlAPMBCmZ0bV9pc1plcm8A9wEJZnRtX2lzT25lAPgBCGZ0bV96ZXJvAPkBB2Z0bV9vbmUA+gEIZnRtX2NvcHkA+wEHZnRtX211bAD8AQhmdG1fbXVsMQD9AQpmdG1fc3F1YXJlAP4BB2Z0bV9hZGQA/wEHZnRtX3N1YgCAAgdmdG1fbmVnAIECCGZ0bV9zaWduAIgCDWZ0bV9jb25qdWdhdGUAggISZnRtX2Zyb21Nb250Z29tZXJ5AIQCEGZ0bV90b01vbnRnb21lcnkAgwIGZnRtX2VxAIUCC2Z0bV9pbnZlcnNlAIYCB2Z0bV9leHAAiwIPZnRtX3RpbWVzU2NhbGFyAIcCEGZ0bV9iYXRjaEludmVyc2UAigIIZnRtX3NxcnQAjAIMZnRtX2lzU3F1YXJlAI0CDmZ0bV9pc05lZ2F0aXZlAIkCEWZ0bV9mcm9iZW5pdXNNYXAwAJICEWZ0bV9mcm9iZW5pdXNNYXAxAJMCEWZ0bV9mcm9iZW5pdXNNYXAyAJQCEWZ0bV9mcm9iZW5pdXNNYXAzAJUCEWZ0bV9mcm9iZW5pdXNNYXA0AJYCEWZ0bV9mcm9iZW5pdXNNYXA1AJcCEWZ0bV9mcm9iZW5pdXNNYXA2AJgCEWZ0bV9mcm9iZW5pdXNNYXA3AJkCEWZ0bV9mcm9iZW5pdXNNYXA4AJoCEWZ0bV9mcm9iZW5pdXNNYXA5AJsCE2JsczEyMzgxX3BhaXJpbmdFcTEApwITYmxzMTIzODFfcGFpcmluZ0VxMgCoAhNibHMxMjM4MV9wYWlyaW5nRXEzAKkCE2JsczEyMzgxX3BhaXJpbmdFcTQAqgITYmxzMTIzODFfcGFpcmluZ0VxNQCrAhBibHMxMjM4MV9wYWlyaW5nAKwCEmJsczEyMzgxX3ByZXBhcmVHMQCgAhJibHMxMjM4MV9wcmVwYXJlRzIAoQITYmxzMTIzODFfbWlsbGVyTG9vcACiAhxibHMxMjM4MV9maW5hbEV4cG9uZW50aWF0aW9uAKYCH2JsczEyMzgxX2ZpbmFsRXhwb25lbnRpYXRpb25PbGQAowIaYmxzMTIzODFfX2N5Y2xvdG9taWNTcXVhcmUApAIaYmxzMTIzODFfX2N5Y2xvdG9taWNFeHBfdzAApQIIZjZtX211bDEAjgIJZjZtX211bDAxAI8CCmZ0bV9tdWwwMTQAkAIRZzFtX2luR3JvdXBBZmZpbmUAnAILZzFtX2luR3JvdXAAnQIRZzJtX2luR3JvdXBBZmZpbmUAngILZzJtX2luR3JvdXAAnwIK7dgErQI+ACABIAApAwA3AwAgASAAKQMINwMIIAEgACkDEDcDECABIAApAxg3AxggASAAKQMgNwMgIAEgACkDKDcDKAssACAAQgA3AwAgAEIANwMIIABCADcDECAAQgA3AxggAEIANwMgIABCADcDKAtEACAAKQMoUAR+IAApAyBQBH4gACkDGFAEfiAAKQMQUAR+IAApAwhQBH4gACkDAAVCAQsFQgELBUIBCwVCAQsFQgELUAssACAAQgE3AwAgAEIANwMIIABCADcDECAAQgA3AxggAEIANwMgIABCADcDKAtiACAAKQMoIAEpAyhRBH8gACkDICABKQMgUQR/IAApAxggASkDGFEEfyAAKQMQIAEpAxBRBH8gACkDCCABKQMIUQR/IAApAwAgASkDAFEFQQALBUEACwVBAAsFQQALBUEACwu3AQAgACkDKCABKQMoVAR/QQAFIAApAyggASkDKFYEf0EBBSAAKQMgIAEpAyBUBH9BAAUgACkDICABKQMgVgR/QQEFIAApAxggASkDGFQEf0EABSAAKQMYIAEpAxhWBH9BAQUgACkDECABKQMQVAR/QQAFIAApAxAgASkDEFYEf0EBBSAAKQMIIAEpAwhUBH9BAAUgACkDCCABKQMIVgR/QQEFIAApAwAgASkDAFoLCwsLCwsLCwsLC6QCAQF+IAIgADUCACABNQIAfCIDPgIAIAIgADUCBCABNQIEfCADQiCIfCIDPgIEIAIgADUCCCABNQIIfCADQiCIfCIDPgIIIAIgADUCDCABNQIMfCADQiCIfCIDPgIMIAIgADUCECABNQIQfCADQiCIfCIDPgIQIAIgADUCFCABNQIUfCADQiCIfCIDPgIUIAIgADUCGCABNQIYfCADQiCIfCIDPgIYIAIgADUCHCABNQIcfCADQiCIfCIDPgIcIAIgADUCICABNQIgfCADQiCIfCIDPgIgIAIgADUCJCABNQIkfCADQiCIfCIDPgIkIAIgADUCKCABNQIofCADQiCIfCIDPgIoIAIgADUCLCABNQIsfCADQiCIfCIDPgIsIANCIIinC/gCAQF+IAIgADUCACABNQIAfSIDQv////8Pgz4CACACIAA1AgQgATUCBH0gA0Igh3wiA0L/////D4M+AgQgAiAANQIIIAE1Agh9IANCIId8IgNC/////w+DPgIIIAIgADUCDCABNQIMfSADQiCHfCIDQv////8Pgz4CDCACIAA1AhAgATUCEH0gA0Igh3wiA0L/////D4M+AhAgAiAANQIUIAE1AhR9IANCIId8IgNC/////w+DPgIUIAIgADUCGCABNQIYfSADQiCHfCIDQv////8Pgz4CGCACIAA1AhwgATUCHH0gA0Igh3wiA0L/////D4M+AhwgAiAANQIgIAE1AiB9IANCIId8IgNC/////w+DPgIgIAIgADUCJCABNQIkfSADQiCHfCIDQv////8Pgz4CJCACIAA1AiggATUCKH0gA0Igh3wiA0L/////D4M+AiggAiAANQIsIAE1Aix9IANCIId8IgNC/////w+DPgIsIANCIIenC84fARl+IAQgADUCACIFIAE1AgAiBn4gA0L/////D4N8IgNCIIh8IQQgAiADPgIAIARCIIghAyADIAUgATUCBCIHfiAEQv////8Pg3wiBEIgiHwhAyADIAA1AgQiCCAGfiAEQv////8Pg3wiBEIgiHwhAyACIAQ+AgQgA0IgiCEEIAQgBSABNQIIIgl+IANC/////w+DfCIDQiCIfCEEIAQgByAIfiADQv////8Pg3wiA0IgiHwhBCAEIAA1AggiCiAGfiADQv////8Pg3wiA0IgiHwhBCACIAM+AgggBEIgiCEDIAMgBSABNQIMIgt+IARC/////w+DfCIEQiCIfCEDIAMgCCAJfiAEQv////8Pg3wiBEIgiHwhAyADIAcgCn4gBEL/////D4N8IgRCIIh8IQMgAyAANQIMIgwgBn4gBEL/////D4N8IgRCIIh8IQMgAiAEPgIMIANCIIghBCAEIAUgATUCECINfiADQv////8Pg3wiA0IgiHwhBCAEIAggC34gA0L/////D4N8IgNCIIh8IQQgBCAJIAp+IANC/////w+DfCIDQiCIfCEEIAQgByAMfiADQv////8Pg3wiA0IgiHwhBCAEIAA1AhAiDiAGfiADQv////8Pg3wiA0IgiHwhBCACIAM+AhAgBEIgiCEDIAMgBSABNQIUIg9+IARC/////w+DfCIEQiCIfCEDIAMgCCANfiAEQv////8Pg3wiBEIgiHwhAyADIAogC34gBEL/////D4N8IgRCIIh8IQMgAyAJIAx+IARC/////w+DfCIEQiCIfCEDIAMgByAOfiAEQv////8Pg3wiBEIgiHwhAyADIAA1AhQiECAGfiAEQv////8Pg3wiBEIgiHwhAyACIAQ+AhQgA0IgiCEEIAQgBSABNQIYIhF+IANC/////w+DfCIDQiCIfCEEIAQgCCAPfiADQv////8Pg3wiA0IgiHwhBCAEIAogDX4gA0L/////D4N8IgNCIIh8IQQgBCALIAx+IANC/////w+DfCIDQiCIfCEEIAQgCSAOfiADQv////8Pg3wiA0IgiHwhBCAEIAcgEH4gA0L/////D4N8IgNCIIh8IQQgBCAANQIYIhIgBn4gA0L/////D4N8IgNCIIh8IQQgAiADPgIYIARCIIghAyADIAUgATUCHCITfiAEQv////8Pg3wiBEIgiHwhAyADIAggEX4gBEL/////D4N8IgRCIIh8IQMgAyAKIA9+IARC/////w+DfCIEQiCIfCEDIAMgDCANfiAEQv////8Pg3wiBEIgiHwhAyADIAsgDn4gBEL/////D4N8IgRCIIh8IQMgAyAJIBB+IARC/////w+DfCIEQiCIfCEDIAMgByASfiAEQv////8Pg3wiBEIgiHwhAyADIAA1AhwiFCAGfiAEQv////8Pg3wiBEIgiHwhAyACIAQ+AhwgA0IgiCEEIAQgBSABNQIgIhV+IANC/////w+DfCIDQiCIfCEEIAQgCCATfiADQv////8Pg3wiA0IgiHwhBCAEIAogEX4gA0L/////D4N8IgNCIIh8IQQgBCAMIA9+IANC/////w+DfCIDQiCIfCEEIAQgDSAOfiADQv////8Pg3wiA0IgiHwhBCAEIAsgEH4gA0L/////D4N8IgNCIIh8IQQgBCAJIBJ+IANC/////w+DfCIDQiCIfCEEIAQgByAUfiADQv////8Pg3wiA0IgiHwhBCAEIAA1AiAiFiAGfiADQv////8Pg3wiA0IgiHwhBCACIAM+AiAgBEIgiCEDIAMgBSABNQIkIhd+IARC/////w+DfCIEQiCIfCEDIAMgCCAVfiAEQv////8Pg3wiBEIgiHwhAyADIAogE34gBEL/////D4N8IgRCIIh8IQMgAyAMIBF+IARC/////w+DfCIEQiCIfCEDIAMgDiAPfiAEQv////8Pg3wiBEIgiHwhAyADIA0gEH4gBEL/////D4N8IgRCIIh8IQMgAyALIBJ+IARC/////w+DfCIEQiCIfCEDIAMgCSAUfiAEQv////8Pg3wiBEIgiHwhAyADIAcgFn4gBEL/////D4N8IgRCIIh8IQMgAyAANQIkIhggBn4gBEL/////D4N8IgRCIIh8IQMgAiAEPgIkIANCIIghBCAEIAUgATUCKCIZfiADQv////8Pg3wiA0IgiHwhBCAEIAggF34gA0L/////D4N8IgNCIIh8IQQgBCAKIBV+IANC/////w+DfCIDQiCIfCEEIAQgDCATfiADQv////8Pg3wiA0IgiHwhBCAEIA4gEX4gA0L/////D4N8IgNCIIh8IQQgBCAPIBB+IANC/////w+DfCIDQiCIfCEEIAQgDSASfiADQv////8Pg3wiA0IgiHwhBCAEIAsgFH4gA0L/////D4N8IgNCIIh8IQQgBCAJIBZ+IANC/////w+DfCIDQiCIfCEEIAQgByAYfiADQv////8Pg3wiA0IgiHwhBCAEIAA1AigiGiAGfiADQv////8Pg3wiA0IgiHwhBCACIAM+AiggBEIgiCEDIAMgBSABNQIsIht+IARC/////w+DfCIEQiCIfCEDIAMgCCAZfiAEQv////8Pg3wiBEIgiHwhAyADIAogF34gBEL/////D4N8IgRCIIh8IQMgAyAMIBV+IARC/////w+DfCIEQiCIfCEDIAMgDiATfiAEQv////8Pg3wiBEIgiHwhAyADIBAgEX4gBEL/////D4N8IgRCIIh8IQMgAyAPIBJ+IARC/////w+DfCIEQiCIfCEDIAMgDSAUfiAEQv////8Pg3wiBEIgiHwhAyADIAsgFn4gBEL/////D4N8IgRCIIh8IQMgAyAJIBh+IARC/////w+DfCIEQiCIfCEDIAMgByAafiAEQv////8Pg3wiBEIgiHwhAyADIAA1AiwiBSAGfiAEQv////8Pg3wiBEIgiHwhAyACIAQ+AiwgA0IgiCEEIAQgCCAbfiADQv////8Pg3wiA0IgiHwhBCAEIAogGX4gA0L/////D4N8IgNCIIh8IQQgBCAMIBd+IANC/////w+DfCIDQiCIfCEEIAQgDiAVfiADQv////8Pg3wiA0IgiHwhBCAEIBAgE34gA0L/////D4N8IgNCIIh8IQQgBCARIBJ+IANC/////w+DfCIDQiCIfCEEIAQgDyAUfiADQv////8Pg3wiA0IgiHwhBCAEIA0gFn4gA0L/////D4N8IgNCIIh8IQQgBCALIBh+IANC/////w+DfCIDQiCIfCEEIAQgCSAafiADQv////8Pg3wiA0IgiHwhBCAEIAUgB34gA0L/////D4N8IgNCIIh8IQQgAiADPgIwIARCIIghAyADIAogG34gBEL/////D4N8IgRCIIh8IQMgAyAMIBl+IARC/////w+DfCIEQiCIfCEDIAMgDiAXfiAEQv////8Pg3wiBEIgiHwhAyADIBAgFX4gBEL/////D4N8IgRCIIh8IQMgAyASIBN+IARC/////w+DfCIEQiCIfCEDIAMgESAUfiAEQv////8Pg3wiBEIgiHwhAyADIA8gFn4gBEL/////D4N8IgRCIIh8IQMgAyANIBh+IARC/////w+DfCIEQiCIfCEDIAMgCyAafiAEQv////8Pg3wiBEIgiHwhAyADIAUgCX4gBEL/////D4N8IgRCIIh8IQMgAiAEPgI0IANCIIghBCAEIAwgG34gA0L/////D4N8IgNCIIh8IQQgBCAOIBl+IANC/////w+DfCIDQiCIfCEEIAQgECAXfiADQv////8Pg3wiA0IgiHwhBCAEIBIgFX4gA0L/////D4N8IgNCIIh8IQQgBCATIBR+IANC/////w+DfCIDQiCIfCEEIAQgESAWfiADQv////8Pg3wiA0IgiHwhBCAEIA8gGH4gA0L/////D4N8IgNCIIh8IQQgBCANIBp+IANC/////w+DfCIDQiCIfCEEIAQgBSALfiADQv////8Pg3wiA0IgiHwhBCACIAM+AjggBEIgiCEDIAMgDiAbfiAEQv////8Pg3wiBEIgiHwhAyADIBAgGX4gBEL/////D4N8IgRCIIh8IQMgAyASIBd+IARC/////w+DfCIEQiCIfCEDIAMgFCAVfiAEQv////8Pg3wiBEIgiHwhAyADIBMgFn4gBEL/////D4N8IgRCIIh8IQMgAyARIBh+IARC/////w+DfCIEQiCIfCEDIAMgDyAafiAEQv////8Pg3wiBEIgiHwhAyADIAUgDX4gBEL/////D4N8IgRCIIh8IQMgAiAEPgI8IANCIIghBCAEIBAgG34gA0L/////D4N8IgNCIIh8IQQgBCASIBl+IANC/////w+DfCIDQiCIfCEEIAQgFCAXfiADQv////8Pg3wiA0IgiHwhBCAEIBUgFn4gA0L/////D4N8IgNCIIh8IQQgBCATIBh+IANC/////w+DfCIDQiCIfCEEIAQgESAafiADQv////8Pg3wiA0IgiHwhBCAEIAUgD34gA0L/////D4N8IgNCIIh8IQQgAiADPgJAIARCIIghAyADIBIgG34gBEL/////D4N8IgRCIIh8IQMgAyAUIBl+IARC/////w+DfCIEQiCIfCEDIAMgFiAXfiAEQv////8Pg3wiBEIgiHwhAyADIBUgGH4gBEL/////D4N8IgRCIIh8IQMgAyATIBp+IARC/////w+DfCIEQiCIfCEDIAMgBSARfiAEQv////8Pg3wiBEIgiHwhAyACIAQ+AkQgA0IgiCEEIAQgFCAbfiADQv////8Pg3wiA0IgiHwhBCAEIBYgGX4gA0L/////D4N8IgNCIIh8IQQgBCAXIBh+IANC/////w+DfCIDQiCIfCEEIAQgFSAafiADQv////8Pg3wiA0IgiHwhBCAEIAUgE34gA0L/////D4N8IgNCIIh8IQQgAiADPgJIIARCIIghAyADIBYgG34gBEL/////D4N8IgRCIIh8IQMgAyAYIBl+IARC/////w+DfCIEQiCIfCEDIAMgFyAafiAEQv////8Pg3wiBEIgiHwhAyADIAUgFX4gBEL/////D4N8IgRCIIh8IQMgAiAEPgJMIANCIIghBCAEIBggG34gA0L/////D4N8IgNCIIh8IQQgBCAZIBp+IANC/////w+DfCIDQiCIfCEEIAQgBSAXfiADQv////8Pg3wiA0IgiHwhBCACIAM+AlAgBEIgiCEDIAMgGiAbfiAEQv////8Pg3wiBEIgiHwhAyADIAUgGX4gBEL/////D4N8IgRCIIh8IQMgAiAEPgJUIANCIIghBCAEIAUgG34gA0L/////D4N8IgNCIIh8IQQgAiADPgJYIAIgBD4CXAu8GQEQfiADIAA1AgAiBiAGfiACQv////8Pg3wiAkIgiHwhAyABIAI+AgAgAyIEQiCIIQUgADUCBCIHIAZ+IgJCIIhCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CBCADIgRCIIghBSAANQIIIgggBn4iAkIgiEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgByAHfiACQv////8Pg3wiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CCCADIgRCIIghBSAANQIMIgkgBn4iAkIgiCEDIAMgByAIfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CDCADIgRCIIghBSAANQIQIgogBn4iAkIgiCEDIAMgByAJfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAggCH4gAkL/////D4N8IgJCIIh8IQMgAyACQv////8PgyAEQv////8Pg3wiAkIgiHwgBXwhAyABIAI+AhAgAyIEQiCIIQUgADUCFCILIAZ+IgJCIIghAyADIAcgCn4gAkL/////D4N8IgJCIIh8IQMgAyAIIAl+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgAkL/////D4MgBEL/////D4N8IgJCIIh8IAV8IQMgASACPgIUIAMiBEIgiCEFIAA1AhgiDCAGfiICQiCIIQMgAyAHIAt+IAJC/////w+DfCICQiCIfCEDIAMgCCAKfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAkgCX4gAkL/////D4N8IgJCIIh8IQMgAyACQv////8PgyAEQv////8Pg3wiAkIgiHwgBXwhAyABIAI+AhggAyIEQiCIIQUgADUCHCINIAZ+IgJCIIghAyADIAcgDH4gAkL/////D4N8IgJCIIh8IQMgAyAIIAt+IAJC/////w+DfCICQiCIfCEDIAMgCSAKfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CHCADIgRCIIghBSAANQIgIg4gBn4iAkIgiCEDIAMgByANfiACQv////8Pg3wiAkIgiHwhAyADIAggDH4gAkL/////D4N8IgJCIIh8IQMgAyAJIAt+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgCiAKfiACQv////8Pg3wiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CICADIgRCIIghBSAANQIkIg8gBn4iAkIgiCEDIAMgByAOfiACQv////8Pg3wiAkIgiHwhAyADIAggDX4gAkL/////D4N8IgJCIIh8IQMgAyAJIAx+IAJC/////w+DfCICQiCIfCEDIAMgCiALfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CJCADIgRCIIghBSAANQIoIhAgBn4iAkIgiCEDIAMgByAPfiACQv////8Pg3wiAkIgiHwhAyADIAggDn4gAkL/////D4N8IgJCIIh8IQMgAyAJIA1+IAJC/////w+DfCICQiCIfCEDIAMgCiAMfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAsgC34gAkL/////D4N8IgJCIIh8IQMgAyACQv////8PgyAEQv////8Pg3wiAkIgiHwgBXwhAyABIAI+AiggAyIEQiCIIQUgADUCLCIRIAZ+IgJCIIghAyADIAcgEH4gAkL/////D4N8IgJCIIh8IQMgAyAIIA9+IAJC/////w+DfCICQiCIfCEDIAMgCSAOfiACQv////8Pg3wiAkIgiHwhAyADIAogDX4gAkL/////D4N8IgJCIIh8IQMgAyALIAx+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgAkL/////D4MgBEL/////D4N8IgJCIIh8IAV8IQMgASACPgIsIAMiBEIgiCEFIAcgEX4iAkIgiCEDIAMgCCAQfiACQv////8Pg3wiAkIgiHwhAyADIAkgD34gAkL/////D4N8IgJCIIh8IQMgAyAKIA5+IAJC/////w+DfCICQiCIfCEDIAMgCyANfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAwgDH4gAkL/////D4N8IgJCIIh8IQMgAyACQv////8PgyAEQv////8Pg3wiAkIgiHwgBXwhAyABIAI+AjAgAyIEQiCIIQUgCCARfiICQiCIIQMgAyAJIBB+IAJC/////w+DfCICQiCIfCEDIAMgCiAPfiACQv////8Pg3wiAkIgiHwhAyADIAsgDn4gAkL/////D4N8IgJCIIh8IQMgAyAMIA1+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgAkL/////D4MgBEL/////D4N8IgJCIIh8IAV8IQMgASACPgI0IAMiBEIgiCEFIAkgEX4iAkIgiCEDIAMgCiAQfiACQv////8Pg3wiAkIgiHwhAyADIAsgD34gAkL/////D4N8IgJCIIh8IQMgAyAMIA5+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgDSANfiACQv////8Pg3wiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4COCADIgRCIIghBSAKIBF+IgJCIIghAyADIAsgEH4gAkL/////D4N8IgJCIIh8IQMgAyAMIA9+IAJC/////w+DfCICQiCIfCEDIAMgDSAOfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CPCADIgRCIIghBSALIBF+IgJCIIghAyADIAwgEH4gAkL/////D4N8IgJCIIh8IQMgAyANIA9+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgDiAOfiACQv////8Pg3wiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CQCADIgRCIIghBSAMIBF+IgJCIIghAyADIA0gEH4gAkL/////D4N8IgJCIIh8IQMgAyAOIA9+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgAkL/////D4MgBEL/////D4N8IgJCIIh8IAV8IQMgASACPgJEIAMiBEIgiCEFIA0gEX4iAkIgiCEDIAMgDiAQfiACQv////8Pg3wiAkIgiHxCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIA8gD34gAkL/////D4N8IgJCIIh8IQMgAyACQv////8PgyAEQv////8Pg3wiAkIgiHwgBXwhAyABIAI+AkggAyIEQiCIIQUgDiARfiICQiCIIQMgAyAPIBB+IAJC/////w+DfCICQiCIfEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgAkL/////D4MgBEL/////D4N8IgJCIIh8IAV8IQMgASACPgJMIAMiBEIgiCEFIA8gEX4iAkIgiEIBhiACQv////8Pg0IBhiICQiCIfCEDIAMgECAQfiACQv////8Pg3wiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CUCADIgRCIIghBSAQIBF+IgJCIIhCAYYgAkL/////D4NCAYYiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CVCADIgRCIIghBUIAIQJCACEDIAMgESARfiACQv////8Pg3wiAkIgiHwhAyADIAJC/////w+DIARC/////w+DfCICQiCIfCAFfCEDIAEgAj4CWCABIAM+AlwLCgAgACAAIAEQCAtBACAAIAA1AAAgAXwiAT4AACABQiCIIQEDQCABUEUEQCAAQQRqIgA1AAAgAXwhASAAIAE+AAAgAUIgiCEBDAELCwuEBAIDfgF/IAAgA0GIASADGyIDEAAgAUEoEAAgAkHYACACGyIHEAFBuAEQAUEvIQBBLyEBA0AgAUEoai0AACABQQNGckUEQCABQQFrIQEMAQsLIAFBJWo1AABCAXwiBkIBUQRAQgBCAIAaCwNAAkADQCAAIANqLQAAIABBB0ZyRQRAIABBAWshAAwBCwsgACADakEHaykAACAGgCEFIAAgAWtBBGshAgNAIAVCgICAgHCDUCACQQBOcUUEQCAFQgiIIQUgAkEBaiECDAELCyAFUARAIANBKBAFRQ0BQgEhBUEAIQILQegBQSg1AAAgBX4iBD4AAEHsAUEsNQAAIAV+IARCIIh8IgQ+AABB8AFBMDUAACAFfiAEQiCIfCIEPgAAQfQBQTQ1AAAgBX4gBEIgiHwiBD4AAEH4AUE4NQAAIAV+IARCIIh8IgQ+AABB/AFBPDUAACAFfiAEQiCIfCIEPgAAQYACQcAANQAAIAV+IARCIIh8IgQ+AABBhAJBxAA1AAAgBX4gBEIgiHwiBD4AAEGIAkHIADUAACAFfiAEQiCIfCIEPgAAQYwCQcwANQAAIAV+IARCIIh8IgQ+AABBkAJB0AA1AAAgBX4gBEIgiHwiBD4AAEGUAkHUADUAACAFfiAEQiCIfD4AACADQegBIAJrIAMQBxogAiAHaiAFEAsMAQsLC44CAQp/QZgCIQNBmAIQAUHIAiEIIAFByAIQAEH4AiEJQfgCEANBqAMhBiAAQagDEABB2AMhC0GIBCEKQZgFIQQDQCAGEAJFBEAgCCAGIAsgChAMIAsgCUG4BBAIIAcEfyAFBH9BuAQgAxAFBH9BuAQgAyAEEAcaQQAFIANBuAQgBBAHGkEBCwVBuAQgAyAEEAYaQQELBSAFBH9BuAQgAyAEEAYaQQAFIANBuAQQBQR/IANBuAQgBBAHGkEABUG4BCADIAQQBxpBAQsLCyEMIAMhACAJIQMgBCEJIAAhBCAFIQcgDCEFIAghACAGIQggCiEGIAAhCgwBCwsgBwRAIAEgAyACEAcaBSADIAIQAAsLCQAgAEGoBhAECywAIAAgASACEAYEQCACQcgFIAIQBxoFIAJByAUQBQRAIAJByAUgAhAHGgsLCxcAIAAgASACEAcEQCACQcgFIAIQBhoLCwsAQdgGIAAgARAQC8YhAQN+IAAgADUCAEL9//P/DyIEIAA1AgB+Qv////8PgyIDQcgFNQIAfnwiAj4CACAAIAA1AgQgAkIgiHxBzAU1AgAgA358IgI+AgQgACAANQIIIAJCIIh8QdAFNQIAIAN+fCICPgIIIAAgADUCDCACQiCIfEHUBTUCACADfnwiAj4CDCAAIAA1AhAgAkIgiHxB2AU1AgAgA358IgI+AhAgACAANQIUIAJCIIh8QdwFNQIAIAN+fCICPgIUIAAgADUCGCACQiCIfEHgBTUCACADfnwiAj4CGCAAIAA1AhwgAkIgiHxB5AU1AgAgA358IgI+AhwgACAANQIgIAJCIIh8QegFNQIAIAN+fCICPgIgIAAgADUCJCACQiCIfEHsBTUCACADfnwiAj4CJCAAIAA1AiggAkIgiHxB8AU1AgAgA358IgI+AiggACAANQIsIAJCIIh8QfQFNQIAIAN+fCICPgIsQfgIIAJCIIg+AgAgACAANQIEIAA1AgQgBH5C/////w+DIgNByAU1AgB+fCICPgIEIAAgADUCCCACQiCIfEHMBTUCACADfnwiAj4CCCAAIAA1AgwgAkIgiHxB0AU1AgAgA358IgI+AgwgACAANQIQIAJCIIh8QdQFNQIAIAN+fCICPgIQIAAgADUCFCACQiCIfEHYBTUCACADfnwiAj4CFCAAIAA1AhggAkIgiHxB3AU1AgAgA358IgI+AhggACAANQIcIAJCIIh8QeAFNQIAIAN+fCICPgIcIAAgADUCICACQiCIfEHkBTUCACADfnwiAj4CICAAIAA1AiQgAkIgiHxB6AU1AgAgA358IgI+AiQgACAANQIoIAJCIIh8QewFNQIAIAN+fCICPgIoIAAgADUCLCACQiCIfEHwBTUCACADfnwiAj4CLCAAIAA1AjAgAkIgiHxB9AU1AgAgA358IgI+AjBB/AggAkIgiD4CACAAIAA1AgggADUCCCAEfkL/////D4MiA0HIBTUCAH58IgI+AgggACAANQIMIAJCIIh8QcwFNQIAIAN+fCICPgIMIAAgADUCECACQiCIfEHQBTUCACADfnwiAj4CECAAIAA1AhQgAkIgiHxB1AU1AgAgA358IgI+AhQgACAANQIYIAJCIIh8QdgFNQIAIAN+fCICPgIYIAAgADUCHCACQiCIfEHcBTUCACADfnwiAj4CHCAAIAA1AiAgAkIgiHxB4AU1AgAgA358IgI+AiAgACAANQIkIAJCIIh8QeQFNQIAIAN+fCICPgIkIAAgADUCKCACQiCIfEHoBTUCACADfnwiAj4CKCAAIAA1AiwgAkIgiHxB7AU1AgAgA358IgI+AiwgACAANQIwIAJCIIh8QfAFNQIAIAN+fCICPgIwIAAgADUCNCACQiCIfEH0BTUCACADfnwiAj4CNEGACSACQiCIPgIAIAAgADUCDCAANQIMIAR+Qv////8PgyIDQcgFNQIAfnwiAj4CDCAAIAA1AhAgAkIgiHxBzAU1AgAgA358IgI+AhAgACAANQIUIAJCIIh8QdAFNQIAIAN+fCICPgIUIAAgADUCGCACQiCIfEHUBTUCACADfnwiAj4CGCAAIAA1AhwgAkIgiHxB2AU1AgAgA358IgI+AhwgACAANQIgIAJCIIh8QdwFNQIAIAN+fCICPgIgIAAgADUCJCACQiCIfEHgBTUCACADfnwiAj4CJCAAIAA1AiggAkIgiHxB5AU1AgAgA358IgI+AiggACAANQIsIAJCIIh8QegFNQIAIAN+fCICPgIsIAAgADUCMCACQiCIfEHsBTUCACADfnwiAj4CMCAAIAA1AjQgAkIgiHxB8AU1AgAgA358IgI+AjQgACAANQI4IAJCIIh8QfQFNQIAIAN+fCICPgI4QYQJIAJCIIg+AgAgACAANQIQIAA1AhAgBH5C/////w+DIgNByAU1AgB+fCICPgIQIAAgADUCFCACQiCIfEHMBTUCACADfnwiAj4CFCAAIAA1AhggAkIgiHxB0AU1AgAgA358IgI+AhggACAANQIcIAJCIIh8QdQFNQIAIAN+fCICPgIcIAAgADUCICACQiCIfEHYBTUCACADfnwiAj4CICAAIAA1AiQgAkIgiHxB3AU1AgAgA358IgI+AiQgACAANQIoIAJCIIh8QeAFNQIAIAN+fCICPgIoIAAgADUCLCACQiCIfEHkBTUCACADfnwiAj4CLCAAIAA1AjAgAkIgiHxB6AU1AgAgA358IgI+AjAgACAANQI0IAJCIIh8QewFNQIAIAN+fCICPgI0IAAgADUCOCACQiCIfEHwBTUCACADfnwiAj4COCAAIAA1AjwgAkIgiHxB9AU1AgAgA358IgI+AjxBiAkgAkIgiD4CACAAIAA1AhQgADUCFCAEfkL/////D4MiA0HIBTUCAH58IgI+AhQgACAANQIYIAJCIIh8QcwFNQIAIAN+fCICPgIYIAAgADUCHCACQiCIfEHQBTUCACADfnwiAj4CHCAAIAA1AiAgAkIgiHxB1AU1AgAgA358IgI+AiAgACAANQIkIAJCIIh8QdgFNQIAIAN+fCICPgIkIAAgADUCKCACQiCIfEHcBTUCACADfnwiAj4CKCAAIAA1AiwgAkIgiHxB4AU1AgAgA358IgI+AiwgACAANQIwIAJCIIh8QeQFNQIAIAN+fCICPgIwIAAgADUCNCACQiCIfEHoBTUCACADfnwiAj4CNCAAIAA1AjggAkIgiHxB7AU1AgAgA358IgI+AjggACAANQI8IAJCIIh8QfAFNQIAIAN+fCICPgI8IAAgADUCQCACQiCIfEH0BTUCACADfnwiAj4CQEGMCSACQiCIPgIAIAAgADUCGCAANQIYIAR+Qv////8PgyIDQcgFNQIAfnwiAj4CGCAAIAA1AhwgAkIgiHxBzAU1AgAgA358IgI+AhwgACAANQIgIAJCIIh8QdAFNQIAIAN+fCICPgIgIAAgADUCJCACQiCIfEHUBTUCACADfnwiAj4CJCAAIAA1AiggAkIgiHxB2AU1AgAgA358IgI+AiggACAANQIsIAJCIIh8QdwFNQIAIAN+fCICPgIsIAAgADUCMCACQiCIfEHgBTUCACADfnwiAj4CMCAAIAA1AjQgAkIgiHxB5AU1AgAgA358IgI+AjQgACAANQI4IAJCIIh8QegFNQIAIAN+fCICPgI4IAAgADUCPCACQiCIfEHsBTUCACADfnwiAj4CPCAAIAA1AkAgAkIgiHxB8AU1AgAgA358IgI+AkAgACAANQJEIAJCIIh8QfQFNQIAIAN+fCICPgJEQZAJIAJCIIg+AgAgACAANQIcIAA1AhwgBH5C/////w+DIgNByAU1AgB+fCICPgIcIAAgADUCICACQiCIfEHMBTUCACADfnwiAj4CICAAIAA1AiQgAkIgiHxB0AU1AgAgA358IgI+AiQgACAANQIoIAJCIIh8QdQFNQIAIAN+fCICPgIoIAAgADUCLCACQiCIfEHYBTUCACADfnwiAj4CLCAAIAA1AjAgAkIgiHxB3AU1AgAgA358IgI+AjAgACAANQI0IAJCIIh8QeAFNQIAIAN+fCICPgI0IAAgADUCOCACQiCIfEHkBTUCACADfnwiAj4COCAAIAA1AjwgAkIgiHxB6AU1AgAgA358IgI+AjwgACAANQJAIAJCIIh8QewFNQIAIAN+fCICPgJAIAAgADUCRCACQiCIfEHwBTUCACADfnwiAj4CRCAAIAA1AkggAkIgiHxB9AU1AgAgA358IgI+AkhBlAkgAkIgiD4CACAAIAA1AiAgADUCICAEfkL/////D4MiA0HIBTUCAH58IgI+AiAgACAANQIkIAJCIIh8QcwFNQIAIAN+fCICPgIkIAAgADUCKCACQiCIfEHQBTUCACADfnwiAj4CKCAAIAA1AiwgAkIgiHxB1AU1AgAgA358IgI+AiwgACAANQIwIAJCIIh8QdgFNQIAIAN+fCICPgIwIAAgADUCNCACQiCIfEHcBTUCACADfnwiAj4CNCAAIAA1AjggAkIgiHxB4AU1AgAgA358IgI+AjggACAANQI8IAJCIIh8QeQFNQIAIAN+fCICPgI8IAAgADUCQCACQiCIfEHoBTUCACADfnwiAj4CQCAAIAA1AkQgAkIgiHxB7AU1AgAgA358IgI+AkQgACAANQJIIAJCIIh8QfAFNQIAIAN+fCICPgJIIAAgADUCTCACQiCIfEH0BTUCACADfnwiAj4CTEGYCSACQiCIPgIAIAAgADUCJCAANQIkIAR+Qv////8PgyIDQcgFNQIAfnwiAj4CJCAAIAA1AiggAkIgiHxBzAU1AgAgA358IgI+AiggACAANQIsIAJCIIh8QdAFNQIAIAN+fCICPgIsIAAgADUCMCACQiCIfEHUBTUCACADfnwiAj4CMCAAIAA1AjQgAkIgiHxB2AU1AgAgA358IgI+AjQgACAANQI4IAJCIIh8QdwFNQIAIAN+fCICPgI4IAAgADUCPCACQiCIfEHgBTUCACADfnwiAj4CPCAAIAA1AkAgAkIgiHxB5AU1AgAgA358IgI+AkAgACAANQJEIAJCIIh8QegFNQIAIAN+fCICPgJEIAAgADUCSCACQiCIfEHsBTUCACADfnwiAj4CSCAAIAA1AkwgAkIgiHxB8AU1AgAgA358IgI+AkwgACAANQJQIAJCIIh8QfQFNQIAIAN+fCICPgJQQZwJIAJCIIg+AgAgACAANQIoIAA1AiggBH5C/////w+DIgNByAU1AgB+fCICPgIoIAAgADUCLCACQiCIfEHMBTUCACADfnwiAj4CLCAAIAA1AjAgAkIgiHxB0AU1AgAgA358IgI+AjAgACAANQI0IAJCIIh8QdQFNQIAIAN+fCICPgI0IAAgADUCOCACQiCIfEHYBTUCACADfnwiAj4COCAAIAA1AjwgAkIgiHxB3AU1AgAgA358IgI+AjwgACAANQJAIAJCIIh8QeAFNQIAIAN+fCICPgJAIAAgADUCRCACQiCIfEHkBTUCACADfnwiAj4CRCAAIAA1AkggAkIgiHxB6AU1AgAgA358IgI+AkggACAANQJMIAJCIIh8QewFNQIAIAN+fCICPgJMIAAgADUCUCACQiCIfEHwBTUCACADfnwiAj4CUCAAIAA1AlQgAkIgiHxB9AU1AgAgA358IgI+AlRBoAkgAkIgiD4CACAAIAA1AiwgADUCLCAEfkL/////D4MiA0HIBTUCAH58IgI+AiwgACAANQIwIAJCIIh8QcwFNQIAIAN+fCICPgIwIAAgADUCNCACQiCIfEHQBTUCACADfnwiAj4CNCAAIAA1AjggAkIgiHxB1AU1AgAgA358IgI+AjggACAANQI8IAJCIIh8QdgFNQIAIAN+fCICPgI8IAAgADUCQCACQiCIfEHcBTUCACADfnwiAj4CQCAAIAA1AkQgAkIgiHxB4AU1AgAgA358IgI+AkQgACAANQJIIAJCIIh8QeQFNQIAIAN+fCICPgJIIAAgADUCTCACQiCIfEHoBTUCACADfnwiAj4CTCAAIAA1AlAgAkIgiHxB7AU1AgAgA358IgI+AlAgACAANQJUIAJCIIh8QfAFNQIAIAN+fCICPgJUIAAgADUCWCACQiCIfEH0BTUCACADfnwiAj4CWEGkCSACQiCIPgIAQfgIIABBMGogARAPC/Q+ARt+IAUgATUCACIEIAA1AgAiEn58IgNC/////w+DIQUgBiAANQIEIhMgBH58IANCIIh8IgNC/////w+DIQYgByAANQIIIhQgBH58IANCIIh8IgNC/////w+DIQcgCCAANQIMIhUgBH58IANCIIh8IgNC/////w+DIQggCSAANQIQIhYgBH58IANCIIh8IgNC/////w+DIQkgCiAANQIUIhcgBH58IANCIIh8IgNC/////w+DIQogCyAANQIYIhggBH58IANCIIh8IgNC/////w+DIQsgDCAANQIcIhkgBH58IANCIIh8IgNC/////w+DIQwgDSAANQIgIhogBH58IANCIIh8IgNC/////w+DIQ0gDiAANQIkIhsgBH58IANCIIh8IgNC/////w+DIQ4gDyAANQIoIhwgBH58IANCIIh8IgNC/////w+DIQ8gECAANQIsIh0gBH58IANCIIh8IgNC/////w+DIRAgA0IgiCERIAUgBUL9//P/D35C/////w+DIgRCq9X+/w9+fEIgiCAGIARC///7zwt+fHwiA0L/////D4MhBSAHIARC///Pigt+fCADQiCIfCIDQv////8PgyEGIAggBEL+/6/1AX58IANCIIh8IgNC/////w+DIQcgCSAEQqTsw7UPfnwgA0IgiHwiA0L/////D4MhCCAKIARCoKXDuQZ+fCADQiCIfCIDQv////8PgyEJIAsgBEK/pZScD358IANCIIh8IgNC/////w+DIQogDCAEQoSX3aMGfnwgA0IgiHwiA0L/////D4MhCyANIARC19mumgR+fCADQiCIfCIDQv////8PgyEMIA4gBEK2z+7YBH58IANCIIh8IgNC/////w+DIQ0gDyAEQprN/8sDfnwgA0IgiHwiA0L/////D4MhDiAQIARC6qOE0AF+fCADQiCIfCIDQv////8PgyEPIBEgA0IgiHwhECAFIBIgATUCBCIEfnwiA0L/////D4MhBSAGIAQgE358IANCIIh8IgNC/////w+DIQYgByAEIBR+fCADQiCIfCIDQv////8PgyEHIAggBCAVfnwgA0IgiHwiA0L/////D4MhCCAJIAQgFn58IANCIIh8IgNC/////w+DIQkgCiAEIBd+fCADQiCIfCIDQv////8PgyEKIAsgBCAYfnwgA0IgiHwiA0L/////D4MhCyAMIAQgGX58IANCIIh8IgNC/////w+DIQwgDSAEIBp+fCADQiCIfCIDQv////8PgyENIA4gBCAbfnwgA0IgiHwiA0L/////D4MhDiAPIAQgHH58IANCIIh8IgNC/////w+DIQ8gECAEIB1+fCADQiCIfCIDQv////8PgyEQIANCIIghESAFIAVC/f/z/w9+Qv////8PgyIEQqvV/v8PfnxCIIggBiAEQv//+88Lfnx8IgNC/////w+DIQUgByAEQv//z4oLfnwgA0IgiHwiA0L/////D4MhBiAIIARC/v+v9QF+fCADQiCIfCIDQv////8PgyEHIAkgBEKk7MO1D358IANCIIh8IgNC/////w+DIQggCiAEQqClw7kGfnwgA0IgiHwiA0L/////D4MhCSALIARCv6WUnA9+fCADQiCIfCIDQv////8PgyEKIAwgBEKEl92jBn58IANCIIh8IgNC/////w+DIQsgDSAEQtfZrpoEfnwgA0IgiHwiA0L/////D4MhDCAOIARCts/u2AR+fCADQiCIfCIDQv////8PgyENIA8gBEKazf/LA358IANCIIh8IgNC/////w+DIQ4gECAEQuqjhNABfnwgA0IgiHwiA0L/////D4MhDyARIANCIIh8IRAgBSASIAE1AggiBH58IgNC/////w+DIQUgBiAEIBN+fCADQiCIfCIDQv////8PgyEGIAcgBCAUfnwgA0IgiHwiA0L/////D4MhByAIIAQgFX58IANCIIh8IgNC/////w+DIQggCSAEIBZ+fCADQiCIfCIDQv////8PgyEJIAogBCAXfnwgA0IgiHwiA0L/////D4MhCiALIAQgGH58IANCIIh8IgNC/////w+DIQsgDCAEIBl+fCADQiCIfCIDQv////8PgyEMIA0gBCAafnwgA0IgiHwiA0L/////D4MhDSAOIAQgG358IANCIIh8IgNC/////w+DIQ4gDyAEIBx+fCADQiCIfCIDQv////8PgyEPIBAgBCAdfnwgA0IgiHwiA0L/////D4MhECADQiCIIREgBSAFQv3/8/8PfkL/////D4MiBEKr1f7/D358QiCIIAYgBEL///vPC358fCIDQv////8PgyEFIAcgBEL//8+KC358IANCIIh8IgNC/////w+DIQYgCCAEQv7/r/UBfnwgA0IgiHwiA0L/////D4MhByAJIARCpOzDtQ9+fCADQiCIfCIDQv////8PgyEIIAogBEKgpcO5Bn58IANCIIh8IgNC/////w+DIQkgCyAEQr+llJwPfnwgA0IgiHwiA0L/////D4MhCiAMIARChJfdowZ+fCADQiCIfCIDQv////8PgyELIA0gBELX2a6aBH58IANCIIh8IgNC/////w+DIQwgDiAEQrbP7tgEfnwgA0IgiHwiA0L/////D4MhDSAPIARCms3/ywN+fCADQiCIfCIDQv////8PgyEOIBAgBELqo4TQAX58IANCIIh8IgNC/////w+DIQ8gESADQiCIfCEQIAUgEiABNQIMIgR+fCIDQv////8PgyEFIAYgBCATfnwgA0IgiHwiA0L/////D4MhBiAHIAQgFH58IANCIIh8IgNC/////w+DIQcgCCAEIBV+fCADQiCIfCIDQv////8PgyEIIAkgBCAWfnwgA0IgiHwiA0L/////D4MhCSAKIAQgF358IANCIIh8IgNC/////w+DIQogCyAEIBh+fCADQiCIfCIDQv////8PgyELIAwgBCAZfnwgA0IgiHwiA0L/////D4MhDCANIAQgGn58IANCIIh8IgNC/////w+DIQ0gDiAEIBt+fCADQiCIfCIDQv////8PgyEOIA8gBCAcfnwgA0IgiHwiA0L/////D4MhDyAQIAQgHX58IANCIIh8IgNC/////w+DIRAgA0IgiCERIAUgBUL9//P/D35C/////w+DIgRCq9X+/w9+fEIgiCAGIARC///7zwt+fHwiA0L/////D4MhBSAHIARC///Pigt+fCADQiCIfCIDQv////8PgyEGIAggBEL+/6/1AX58IANCIIh8IgNC/////w+DIQcgCSAEQqTsw7UPfnwgA0IgiHwiA0L/////D4MhCCAKIARCoKXDuQZ+fCADQiCIfCIDQv////8PgyEJIAsgBEK/pZScD358IANCIIh8IgNC/////w+DIQogDCAEQoSX3aMGfnwgA0IgiHwiA0L/////D4MhCyANIARC19mumgR+fCADQiCIfCIDQv////8PgyEMIA4gBEK2z+7YBH58IANCIIh8IgNC/////w+DIQ0gDyAEQprN/8sDfnwgA0IgiHwiA0L/////D4MhDiAQIARC6qOE0AF+fCADQiCIfCIDQv////8PgyEPIBEgA0IgiHwhECAFIBIgATUCECIEfnwiA0L/////D4MhBSAGIAQgE358IANCIIh8IgNC/////w+DIQYgByAEIBR+fCADQiCIfCIDQv////8PgyEHIAggBCAVfnwgA0IgiHwiA0L/////D4MhCCAJIAQgFn58IANCIIh8IgNC/////w+DIQkgCiAEIBd+fCADQiCIfCIDQv////8PgyEKIAsgBCAYfnwgA0IgiHwiA0L/////D4MhCyAMIAQgGX58IANCIIh8IgNC/////w+DIQwgDSAEIBp+fCADQiCIfCIDQv////8PgyENIA4gBCAbfnwgA0IgiHwiA0L/////D4MhDiAPIAQgHH58IANCIIh8IgNC/////w+DIQ8gECAEIB1+fCADQiCIfCIDQv////8PgyEQIANCIIghESAFIAVC/f/z/w9+Qv////8PgyIEQqvV/v8PfnxCIIggBiAEQv//+88Lfnx8IgNC/////w+DIQUgByAEQv//z4oLfnwgA0IgiHwiA0L/////D4MhBiAIIARC/v+v9QF+fCADQiCIfCIDQv////8PgyEHIAkgBEKk7MO1D358IANCIIh8IgNC/////w+DIQggCiAEQqClw7kGfnwgA0IgiHwiA0L/////D4MhCSALIARCv6WUnA9+fCADQiCIfCIDQv////8PgyEKIAwgBEKEl92jBn58IANCIIh8IgNC/////w+DIQsgDSAEQtfZrpoEfnwgA0IgiHwiA0L/////D4MhDCAOIARCts/u2AR+fCADQiCIfCIDQv////8PgyENIA8gBEKazf/LA358IANCIIh8IgNC/////w+DIQ4gECAEQuqjhNABfnwgA0IgiHwiA0L/////D4MhDyARIANCIIh8IRAgBSASIAE1AhQiBH58IgNC/////w+DIQUgBiAEIBN+fCADQiCIfCIDQv////8PgyEGIAcgBCAUfnwgA0IgiHwiA0L/////D4MhByAIIAQgFX58IANCIIh8IgNC/////w+DIQggCSAEIBZ+fCADQiCIfCIDQv////8PgyEJIAogBCAXfnwgA0IgiHwiA0L/////D4MhCiALIAQgGH58IANCIIh8IgNC/////w+DIQsgDCAEIBl+fCADQiCIfCIDQv////8PgyEMIA0gBCAafnwgA0IgiHwiA0L/////D4MhDSAOIAQgG358IANCIIh8IgNC/////w+DIQ4gDyAEIBx+fCADQiCIfCIDQv////8PgyEPIBAgBCAdfnwgA0IgiHwiA0L/////D4MhECADQiCIIREgBSAFQv3/8/8PfkL/////D4MiBEKr1f7/D358QiCIIAYgBEL///vPC358fCIDQv////8PgyEFIAcgBEL//8+KC358IANCIIh8IgNC/////w+DIQYgCCAEQv7/r/UBfnwgA0IgiHwiA0L/////D4MhByAJIARCpOzDtQ9+fCADQiCIfCIDQv////8PgyEIIAogBEKgpcO5Bn58IANCIIh8IgNC/////w+DIQkgCyAEQr+llJwPfnwgA0IgiHwiA0L/////D4MhCiAMIARChJfdowZ+fCADQiCIfCIDQv////8PgyELIA0gBELX2a6aBH58IANCIIh8IgNC/////w+DIQwgDiAEQrbP7tgEfnwgA0IgiHwiA0L/////D4MhDSAPIARCms3/ywN+fCADQiCIfCIDQv////8PgyEOIBAgBELqo4TQAX58IANCIIh8IgNC/////w+DIQ8gESADQiCIfCEQIAUgEiABNQIYIgR+fCIDQv////8PgyEFIAYgBCATfnwgA0IgiHwiA0L/////D4MhBiAHIAQgFH58IANCIIh8IgNC/////w+DIQcgCCAEIBV+fCADQiCIfCIDQv////8PgyEIIAkgBCAWfnwgA0IgiHwiA0L/////D4MhCSAKIAQgF358IANCIIh8IgNC/////w+DIQogCyAEIBh+fCADQiCIfCIDQv////8PgyELIAwgBCAZfnwgA0IgiHwiA0L/////D4MhDCANIAQgGn58IANCIIh8IgNC/////w+DIQ0gDiAEIBt+fCADQiCIfCIDQv////8PgyEOIA8gBCAcfnwgA0IgiHwiA0L/////D4MhDyAQIAQgHX58IANCIIh8IgNC/////w+DIRAgA0IgiCERIAUgBUL9//P/D35C/////w+DIgRCq9X+/w9+fEIgiCAGIARC///7zwt+fHwiA0L/////D4MhBSAHIARC///Pigt+fCADQiCIfCIDQv////8PgyEGIAggBEL+/6/1AX58IANCIIh8IgNC/////w+DIQcgCSAEQqTsw7UPfnwgA0IgiHwiA0L/////D4MhCCAKIARCoKXDuQZ+fCADQiCIfCIDQv////8PgyEJIAsgBEK/pZScD358IANCIIh8IgNC/////w+DIQogDCAEQoSX3aMGfnwgA0IgiHwiA0L/////D4MhCyANIARC19mumgR+fCADQiCIfCIDQv////8PgyEMIA4gBEK2z+7YBH58IANCIIh8IgNC/////w+DIQ0gDyAEQprN/8sDfnwgA0IgiHwiA0L/////D4MhDiAQIARC6qOE0AF+fCADQiCIfCIDQv////8PgyEPIBEgA0IgiHwhECAFIBIgATUCHCIEfnwiA0L/////D4MhBSAGIAQgE358IANCIIh8IgNC/////w+DIQYgByAEIBR+fCADQiCIfCIDQv////8PgyEHIAggBCAVfnwgA0IgiHwiA0L/////D4MhCCAJIAQgFn58IANCIIh8IgNC/////w+DIQkgCiAEIBd+fCADQiCIfCIDQv////8PgyEKIAsgBCAYfnwgA0IgiHwiA0L/////D4MhCyAMIAQgGX58IANCIIh8IgNC/////w+DIQwgDSAEIBp+fCADQiCIfCIDQv////8PgyENIA4gBCAbfnwgA0IgiHwiA0L/////D4MhDiAPIAQgHH58IANCIIh8IgNC/////w+DIQ8gECAEIB1+fCADQiCIfCIDQv////8PgyEQIANCIIghESAFIAVC/f/z/w9+Qv////8PgyIEQqvV/v8PfnxCIIggBiAEQv//+88Lfnx8IgNC/////w+DIQUgByAEQv//z4oLfnwgA0IgiHwiA0L/////D4MhBiAIIARC/v+v9QF+fCADQiCIfCIDQv////8PgyEHIAkgBEKk7MO1D358IANCIIh8IgNC/////w+DIQggCiAEQqClw7kGfnwgA0IgiHwiA0L/////D4MhCSALIARCv6WUnA9+fCADQiCIfCIDQv////8PgyEKIAwgBEKEl92jBn58IANCIIh8IgNC/////w+DIQsgDSAEQtfZrpoEfnwgA0IgiHwiA0L/////D4MhDCAOIARCts/u2AR+fCADQiCIfCIDQv////8PgyENIA8gBEKazf/LA358IANCIIh8IgNC/////w+DIQ4gECAEQuqjhNABfnwgA0IgiHwiA0L/////D4MhDyARIANCIIh8IRAgBSASIAE1AiAiBH58IgNC/////w+DIQUgBiAEIBN+fCADQiCIfCIDQv////8PgyEGIAcgBCAUfnwgA0IgiHwiA0L/////D4MhByAIIAQgFX58IANCIIh8IgNC/////w+DIQggCSAEIBZ+fCADQiCIfCIDQv////8PgyEJIAogBCAXfnwgA0IgiHwiA0L/////D4MhCiALIAQgGH58IANCIIh8IgNC/////w+DIQsgDCAEIBl+fCADQiCIfCIDQv////8PgyEMIA0gBCAafnwgA0IgiHwiA0L/////D4MhDSAOIAQgG358IANCIIh8IgNC/////w+DIQ4gDyAEIBx+fCADQiCIfCIDQv////8PgyEPIBAgBCAdfnwgA0IgiHwiA0L/////D4MhECADQiCIIREgBSAFQv3/8/8PfkL/////D4MiBEKr1f7/D358QiCIIAYgBEL///vPC358fCIDQv////8PgyEFIAcgBEL//8+KC358IANCIIh8IgNC/////w+DIQYgCCAEQv7/r/UBfnwgA0IgiHwiA0L/////D4MhByAJIARCpOzDtQ9+fCADQiCIfCIDQv////8PgyEIIAogBEKgpcO5Bn58IANCIIh8IgNC/////w+DIQkgCyAEQr+llJwPfnwgA0IgiHwiA0L/////D4MhCiAMIARChJfdowZ+fCADQiCIfCIDQv////8PgyELIA0gBELX2a6aBH58IANCIIh8IgNC/////w+DIQwgDiAEQrbP7tgEfnwgA0IgiHwiA0L/////D4MhDSAPIARCms3/ywN+fCADQiCIfCIDQv////8PgyEOIBAgBELqo4TQAX58IANCIIh8IgNC/////w+DIQ8gESADQiCIfCEQIAUgEiABNQIkIgR+fCIDQv////8PgyEFIAYgBCATfnwgA0IgiHwiA0L/////D4MhBiAHIAQgFH58IANCIIh8IgNC/////w+DIQcgCCAEIBV+fCADQiCIfCIDQv////8PgyEIIAkgBCAWfnwgA0IgiHwiA0L/////D4MhCSAKIAQgF358IANCIIh8IgNC/////w+DIQogCyAEIBh+fCADQiCIfCIDQv////8PgyELIAwgBCAZfnwgA0IgiHwiA0L/////D4MhDCANIAQgGn58IANCIIh8IgNC/////w+DIQ0gDiAEIBt+fCADQiCIfCIDQv////8PgyEOIA8gBCAcfnwgA0IgiHwiA0L/////D4MhDyAQIAQgHX58IANCIIh8IgNC/////w+DIRAgA0IgiCERIAUgBUL9//P/D35C/////w+DIgRCq9X+/w9+fEIgiCAGIARC///7zwt+fHwiA0L/////D4MhBSAHIARC///Pigt+fCADQiCIfCIDQv////8PgyEGIAggBEL+/6/1AX58IANCIIh8IgNC/////w+DIQcgCSAEQqTsw7UPfnwgA0IgiHwiA0L/////D4MhCCAKIARCoKXDuQZ+fCADQiCIfCIDQv////8PgyEJIAsgBEK/pZScD358IANCIIh8IgNC/////w+DIQogDCAEQoSX3aMGfnwgA0IgiHwiA0L/////D4MhCyANIARC19mumgR+fCADQiCIfCIDQv////8PgyEMIA4gBEK2z+7YBH58IANCIIh8IgNC/////w+DIQ0gDyAEQprN/8sDfnwgA0IgiHwiA0L/////D4MhDiAQIARC6qOE0AF+fCADQiCIfCIDQv////8PgyEPIBEgA0IgiHwhECAFIBIgATUCKCIEfnwiA0L/////D4MhBSAGIAQgE358IANCIIh8IgNC/////w+DIQYgByAEIBR+fCADQiCIfCIDQv////8PgyEHIAggBCAVfnwgA0IgiHwiA0L/////D4MhCCAJIAQgFn58IANCIIh8IgNC/////w+DIQkgCiAEIBd+fCADQiCIfCIDQv////8PgyEKIAsgBCAYfnwgA0IgiHwiA0L/////D4MhCyAMIAQgGX58IANCIIh8IgNC/////w+DIQwgDSAEIBp+fCADQiCIfCIDQv////8PgyENIA4gBCAbfnwgA0IgiHwiA0L/////D4MhDiAPIAQgHH58IANCIIh8IgNC/////w+DIQ8gECAEIB1+fCADQiCIfCIDQv////8PgyEQIANCIIghESAFIAVC/f/z/w9+Qv////8PgyIEQqvV/v8PfnxCIIggBiAEQv//+88Lfnx8IgNC/////w+DIQUgByAEQv//z4oLfnwgA0IgiHwiA0L/////D4MhBiAIIARC/v+v9QF+fCADQiCIfCIDQv////8PgyEHIAkgBEKk7MO1D358IANCIIh8IgNC/////w+DIQggCiAEQqClw7kGfnwgA0IgiHwiA0L/////D4MhCSALIARCv6WUnA9+fCADQiCIfCIDQv////8PgyEKIAwgBEKEl92jBn58IANCIIh8IgNC/////w+DIQsgDSAEQtfZrpoEfnwgA0IgiHwiA0L/////D4MhDCAOIARCts/u2AR+fCADQiCIfCIDQv////8PgyENIA8gBEKazf/LA358IANCIIh8IgNC/////w+DIQ4gECAEQuqjhNABfnwgA0IgiHwiA0L/////D4MhDyARIANCIIh8IRAgBSASIAE1AiwiBH58IgNC/////w+DIQUgBiAEIBN+fCADQiCIfCIDQv////8PgyEGIAcgBCAUfnwgA0IgiHwiA0L/////D4MhByAIIAQgFX58IANCIIh8IgNC/////w+DIQggCSAEIBZ+fCADQiCIfCIDQv////8PgyEJIAogBCAXfnwgA0IgiHwiA0L/////D4MhCiALIAQgGH58IANCIIh8IgNC/////w+DIQsgDCAEIBl+fCADQiCIfCIDQv////8PgyEMIA0gBCAafnwgA0IgiHwiA0L/////D4MhDSAOIAQgG358IANCIIh8IgNC/////w+DIQ4gDyAEIBx+fCADQiCIfCIDQv////8PgyEPIBAgBCAdfnwgA0IgiHwiA0L/////D4MhECADQiCIIREgAiAFIAVC/f/z/w9+Qv////8PgyIEQqvV/v8PfnxCIIggBiAEQv//+88Lfnx8IgNC/////w+DPgIAIAIgByAEQv//z4oLfnwgA0IgiHwiA0L/////D4M+AgQgAiAIIARC/v+v9QF+fCADQiCIfCIDQv////8Pgz4CCCACIAkgBEKk7MO1D358IANCIIh8IgNC/////w+DPgIMIAIgCiAEQqClw7kGfnwgA0IgiHwiA0L/////D4M+AhAgAiALIARCv6WUnA9+fCADQiCIfCIDQv////8Pgz4CFCACIAwgBEKEl92jBn58IANCIIh8IgNC/////w+DPgIYIAIgDSAEQtfZrpoEfnwgA0IgiHwiA0L/////D4M+AhwgAiAOIARCts/u2AR+fCADQiCIfCIDQv////8Pgz4CICACIA8gBEKazf/LA358IANCIIh8IgNC/////w+DPgIkIAIgECAEQuqjhNABfnwgA0IgiHwiA0L/////D4M+AiggAiARIANCIIh8PgIsIAJByAUQBQRAIAJByAUgAhAHGgsLiEABG34gCiAANQIAIhEgEX58IgJC/////w+DIQogECAANQIEIhMgEX4iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIRAgA0IgiEIBhiACQiCIfCAPIAA1AggiFCARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQ8gA0IgiEIBhiACQiCIfCAOIAA1AgwiFSARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQ4gA0IgiEIBhiACQiCIfCANIAA1AhAiFiARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQ0gA0IgiEIBhiACQiCIfCAMIAA1AhQiFyARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQwgA0IgiEIBhiACQiCIfCALIAA1AhgiGCARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQsgA0IgiEIBhiACQiCIfCAJIAA1AhwiGSARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQkgA0IgiEIBhiACQiCIfCAIIAA1AiAiGiARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQggA0IgiEIBhiACQiCIfCAHIAA1AiQiGyARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQcgA0IgiEIBhiACQiCIfCAGIAA1AigiHCARfiIDQv////8Pg0IBhnx8IgJC/////w+DIQYgA0IgiEIBhiACQiCIfCAEIBEgADUCLCIRfiIDQv////8Pg0IBhnx8IgJC/////w+DIQQgBSADQiCIQgGGIAJCIIh8fCICQv////8PgyEFIBIgAkIgiHwhEiAKIApC/f/z/w9+Qv////8PgyIDQqvV/v8PfnxCIIggECADQv//+88Lfnx8IgJC/////w+DIQogDyADQv//z4oLfnwgAkIgiHwiAkL/////D4MhECAOIANC/v+v9QF+fCACQiCIfCICQv////8PgyEPIA0gA0Kk7MO1D358IAJCIIh8IgJC/////w+DIQ4gDCADQqClw7kGfnwgAkIgiHwiAkL/////D4MhDSALIANCv6WUnA9+fCACQiCIfCICQv////8PgyEMIAkgA0KEl92jBn58IAJCIIh8IgJC/////w+DIQsgCCADQtfZrpoEfnwgAkIgiHwiAkL/////D4MhCSAHIANCts/u2AR+fCACQiCIfCICQv////8PgyEIIAYgA0Kazf/LA358IAJCIIh8IgJC/////w+DIQcgBCADQuqjhNABfnwgAkIgiHwiAkL/////D4MhBiAFIAJCIIh8IgJC/////w+DIQQgEiACQiCIfCEFIBAgEyATfnwiAkL/////D4MhECAPIBMgFH4iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIQ8gA0IgiEIBhiACQiCIfCAOIBMgFX4iA0L/////D4NCAYZ8fCICQv////8PgyEOIANCIIhCAYYgAkIgiHwgDSATIBZ+IgNC/////w+DQgGGfHwiAkL/////D4MhDSADQiCIQgGGIAJCIIh8IAwgEyAXfiIDQv////8Pg0IBhnx8IgJC/////w+DIQwgA0IgiEIBhiACQiCIfCALIBMgGH4iA0L/////D4NCAYZ8fCICQv////8PgyELIANCIIhCAYYgAkIgiHwgCSATIBl+IgNC/////w+DQgGGfHwiAkL/////D4MhCSADQiCIQgGGIAJCIIh8IAggEyAafiIDQv////8Pg0IBhnx8IgJC/////w+DIQggA0IgiEIBhiACQiCIfCAHIBMgG34iA0L/////D4NCAYZ8fCICQv////8PgyEHIANCIIhCAYYgAkIgiHwgBiATIBx+IgNC/////w+DQgGGfHwiAkL/////D4MhBiADQiCIQgGGIAJCIIh8IAQgESATfiIDQv////8Pg0IBhnx8IgJC/////w+DIQQgBSADQiCIQgGGIAJCIIh8fCICQv////8PgyEFIAJCIIghEiAKIApC/f/z/w9+Qv////8PgyIDQqvV/v8PfnxCIIggECADQv//+88Lfnx8IgJC/////w+DIQogDyADQv//z4oLfnwgAkIgiHwiAkL/////D4MhECAOIANC/v+v9QF+fCACQiCIfCICQv////8PgyEPIA0gA0Kk7MO1D358IAJCIIh8IgJC/////w+DIQ4gDCADQqClw7kGfnwgAkIgiHwiAkL/////D4MhDSALIANCv6WUnA9+fCACQiCIfCICQv////8PgyEMIAkgA0KEl92jBn58IAJCIIh8IgJC/////w+DIQsgCCADQtfZrpoEfnwgAkIgiHwiAkL/////D4MhCSAHIANCts/u2AR+fCACQiCIfCICQv////8PgyEIIAYgA0Kazf/LA358IAJCIIh8IgJC/////w+DIQcgBCADQuqjhNABfnwgAkIgiHwiAkL/////D4MhBiAFIAJCIIh8IgJC/////w+DIQQgEiACQiCIfCEFIA8gFCAUfnwiAkL/////D4MhDyAOIBQgFX4iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIQ4gA0IgiEIBhiACQiCIfCANIBQgFn4iA0L/////D4NCAYZ8fCICQv////8PgyENIANCIIhCAYYgAkIgiHwgDCAUIBd+IgNC/////w+DQgGGfHwiAkL/////D4MhDCADQiCIQgGGIAJCIIh8IAsgFCAYfiIDQv////8Pg0IBhnx8IgJC/////w+DIQsgA0IgiEIBhiACQiCIfCAJIBQgGX4iA0L/////D4NCAYZ8fCICQv////8PgyEJIANCIIhCAYYgAkIgiHwgCCAUIBp+IgNC/////w+DQgGGfHwiAkL/////D4MhCCADQiCIQgGGIAJCIIh8IAcgFCAbfiIDQv////8Pg0IBhnx8IgJC/////w+DIQcgA0IgiEIBhiACQiCIfCAGIBQgHH4iA0L/////D4NCAYZ8fCICQv////8PgyEGIANCIIhCAYYgAkIgiHwgBCARIBR+IgNC/////w+DQgGGfHwiAkL/////D4MhBCAFIANCIIhCAYYgAkIgiHx8IgJC/////w+DIQUgAkIgiCESIAogCkL9//P/D35C/////w+DIgNCq9X+/w9+fEIgiCAQIANC///7zwt+fHwiAkL/////D4MhCiAPIANC///Pigt+fCACQiCIfCICQv////8PgyEQIA4gA0L+/6/1AX58IAJCIIh8IgJC/////w+DIQ8gDSADQqTsw7UPfnwgAkIgiHwiAkL/////D4MhDiAMIANCoKXDuQZ+fCACQiCIfCICQv////8PgyENIAsgA0K/pZScD358IAJCIIh8IgJC/////w+DIQwgCSADQoSX3aMGfnwgAkIgiHwiAkL/////D4MhCyAIIANC19mumgR+fCACQiCIfCICQv////8PgyEJIAcgA0K2z+7YBH58IAJCIIh8IgJC/////w+DIQggBiADQprN/8sDfnwgAkIgiHwiAkL/////D4MhByAEIANC6qOE0AF+fCACQiCIfCICQv////8PgyEGIAUgAkIgiHwiAkL/////D4MhBCASIAJCIIh8IQUgDiAVIBV+fCICQv////8PgyEOIA0gFSAWfiIDQv////8Pg0IBhnwgAkIgiHwiAkL/////D4MhDSADQiCIQgGGIAJCIIh8IAwgFSAXfiIDQv////8Pg0IBhnx8IgJC/////w+DIQwgA0IgiEIBhiACQiCIfCALIBUgGH4iA0L/////D4NCAYZ8fCICQv////8PgyELIANCIIhCAYYgAkIgiHwgCSAVIBl+IgNC/////w+DQgGGfHwiAkL/////D4MhCSADQiCIQgGGIAJCIIh8IAggFSAafiIDQv////8Pg0IBhnx8IgJC/////w+DIQggA0IgiEIBhiACQiCIfCAHIBUgG34iA0L/////D4NCAYZ8fCICQv////8PgyEHIANCIIhCAYYgAkIgiHwgBiAVIBx+IgNC/////w+DQgGGfHwiAkL/////D4MhBiADQiCIQgGGIAJCIIh8IAQgESAVfiIDQv////8Pg0IBhnx8IgJC/////w+DIQQgBSADQiCIQgGGIAJCIIh8fCICQv////8PgyEFIAJCIIghEiAKIApC/f/z/w9+Qv////8PgyIDQqvV/v8PfnxCIIggECADQv//+88Lfnx8IgJC/////w+DIQogDyADQv//z4oLfnwgAkIgiHwiAkL/////D4MhECAOIANC/v+v9QF+fCACQiCIfCICQv////8PgyEPIA0gA0Kk7MO1D358IAJCIIh8IgJC/////w+DIQ4gDCADQqClw7kGfnwgAkIgiHwiAkL/////D4MhDSALIANCv6WUnA9+fCACQiCIfCICQv////8PgyEMIAkgA0KEl92jBn58IAJCIIh8IgJC/////w+DIQsgCCADQtfZrpoEfnwgAkIgiHwiAkL/////D4MhCSAHIANCts/u2AR+fCACQiCIfCICQv////8PgyEIIAYgA0Kazf/LA358IAJCIIh8IgJC/////w+DIQcgBCADQuqjhNABfnwgAkIgiHwiAkL/////D4MhBiAFIAJCIIh8IgJC/////w+DIQQgEiACQiCIfCEFIA0gFiAWfnwiAkL/////D4MhDSAMIBYgF34iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIQwgA0IgiEIBhiACQiCIfCALIBYgGH4iA0L/////D4NCAYZ8fCICQv////8PgyELIANCIIhCAYYgAkIgiHwgCSAWIBl+IgNC/////w+DQgGGfHwiAkL/////D4MhCSADQiCIQgGGIAJCIIh8IAggFiAafiIDQv////8Pg0IBhnx8IgJC/////w+DIQggA0IgiEIBhiACQiCIfCAHIBYgG34iA0L/////D4NCAYZ8fCICQv////8PgyEHIANCIIhCAYYgAkIgiHwgBiAWIBx+IgNC/////w+DQgGGfHwiAkL/////D4MhBiADQiCIQgGGIAJCIIh8IAQgESAWfiIDQv////8Pg0IBhnx8IgJC/////w+DIQQgBSADQiCIQgGGIAJCIIh8fCICQv////8PgyEFIAJCIIghEiAKIApC/f/z/w9+Qv////8PgyIDQqvV/v8PfnxCIIggECADQv//+88Lfnx8IgJC/////w+DIQogDyADQv//z4oLfnwgAkIgiHwiAkL/////D4MhECAOIANC/v+v9QF+fCACQiCIfCICQv////8PgyEPIA0gA0Kk7MO1D358IAJCIIh8IgJC/////w+DIQ4gDCADQqClw7kGfnwgAkIgiHwiAkL/////D4MhDSALIANCv6WUnA9+fCACQiCIfCICQv////8PgyEMIAkgA0KEl92jBn58IAJCIIh8IgJC/////w+DIQsgCCADQtfZrpoEfnwgAkIgiHwiAkL/////D4MhCSAHIANCts/u2AR+fCACQiCIfCICQv////8PgyEIIAYgA0Kazf/LA358IAJCIIh8IgJC/////w+DIQcgBCADQuqjhNABfnwgAkIgiHwiAkL/////D4MhBiAFIAJCIIh8IgJC/////w+DIQQgEiACQiCIfCEFIAwgFyAXfnwiAkL/////D4MhDCALIBcgGH4iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIQsgA0IgiEIBhiACQiCIfCAJIBcgGX4iA0L/////D4NCAYZ8fCICQv////8PgyEJIANCIIhCAYYgAkIgiHwgCCAXIBp+IgNC/////w+DQgGGfHwiAkL/////D4MhCCADQiCIQgGGIAJCIIh8IAcgFyAbfiIDQv////8Pg0IBhnx8IgJC/////w+DIQcgA0IgiEIBhiACQiCIfCAGIBcgHH4iA0L/////D4NCAYZ8fCICQv////8PgyEGIANCIIhCAYYgAkIgiHwgBCARIBd+IgNC/////w+DQgGGfHwiAkL/////D4MhBCAFIANCIIhCAYYgAkIgiHx8IgJC/////w+DIQUgAkIgiCESIAogCkL9//P/D35C/////w+DIgNCq9X+/w9+fEIgiCAQIANC///7zwt+fHwiAkL/////D4MhCiAPIANC///Pigt+fCACQiCIfCICQv////8PgyEQIA4gA0L+/6/1AX58IAJCIIh8IgJC/////w+DIQ8gDSADQqTsw7UPfnwgAkIgiHwiAkL/////D4MhDiAMIANCoKXDuQZ+fCACQiCIfCICQv////8PgyENIAsgA0K/pZScD358IAJCIIh8IgJC/////w+DIQwgCSADQoSX3aMGfnwgAkIgiHwiAkL/////D4MhCyAIIANC19mumgR+fCACQiCIfCICQv////8PgyEJIAcgA0K2z+7YBH58IAJCIIh8IgJC/////w+DIQggBiADQprN/8sDfnwgAkIgiHwiAkL/////D4MhByAEIANC6qOE0AF+fCACQiCIfCICQv////8PgyEGIAUgAkIgiHwiAkL/////D4MhBCASIAJCIIh8IQUgCyAYIBh+fCICQv////8PgyELIAkgGCAZfiIDQv////8Pg0IBhnwgAkIgiHwiAkL/////D4MhCSADQiCIQgGGIAJCIIh8IAggGCAafiIDQv////8Pg0IBhnx8IgJC/////w+DIQggA0IgiEIBhiACQiCIfCAHIBggG34iA0L/////D4NCAYZ8fCICQv////8PgyEHIANCIIhCAYYgAkIgiHwgBiAYIBx+IgNC/////w+DQgGGfHwiAkL/////D4MhBiADQiCIQgGGIAJCIIh8IAQgESAYfiIDQv////8Pg0IBhnx8IgJC/////w+DIQQgBSADQiCIQgGGIAJCIIh8fCICQv////8PgyEFIAJCIIghEiAKIApC/f/z/w9+Qv////8PgyIDQqvV/v8PfnxCIIggECADQv//+88Lfnx8IgJC/////w+DIQogDyADQv//z4oLfnwgAkIgiHwiAkL/////D4MhECAOIANC/v+v9QF+fCACQiCIfCICQv////8PgyEPIA0gA0Kk7MO1D358IAJCIIh8IgJC/////w+DIQ4gDCADQqClw7kGfnwgAkIgiHwiAkL/////D4MhDSALIANCv6WUnA9+fCACQiCIfCICQv////8PgyEMIAkgA0KEl92jBn58IAJCIIh8IgJC/////w+DIQsgCCADQtfZrpoEfnwgAkIgiHwiAkL/////D4MhCSAHIANCts/u2AR+fCACQiCIfCICQv////8PgyEIIAYgA0Kazf/LA358IAJCIIh8IgJC/////w+DIQcgBCADQuqjhNABfnwgAkIgiHwiAkL/////D4MhBiAFIAJCIIh8IgJC/////w+DIQQgEiACQiCIfCEFIAkgGSAZfnwiAkL/////D4MhCSAIIBkgGn4iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIQggA0IgiEIBhiACQiCIfCAHIBkgG34iA0L/////D4NCAYZ8fCICQv////8PgyEHIANCIIhCAYYgAkIgiHwgBiAZIBx+IgNC/////w+DQgGGfHwiAkL/////D4MhBiADQiCIQgGGIAJCIIh8IAQgESAZfiIDQv////8Pg0IBhnx8IgJC/////w+DIQQgBSADQiCIQgGGIAJCIIh8fCICQv////8PgyEFIAJCIIghEiAKIApC/f/z/w9+Qv////8PgyIDQqvV/v8PfnxCIIggECADQv//+88Lfnx8IgJC/////w+DIQogDyADQv//z4oLfnwgAkIgiHwiAkL/////D4MhECAOIANC/v+v9QF+fCACQiCIfCICQv////8PgyEPIA0gA0Kk7MO1D358IAJCIIh8IgJC/////w+DIQ4gDCADQqClw7kGfnwgAkIgiHwiAkL/////D4MhDSALIANCv6WUnA9+fCACQiCIfCICQv////8PgyEMIAkgA0KEl92jBn58IAJCIIh8IgJC/////w+DIQsgCCADQtfZrpoEfnwgAkIgiHwiAkL/////D4MhCSAHIANCts/u2AR+fCACQiCIfCICQv////8PgyEIIAYgA0Kazf/LA358IAJCIIh8IgJC/////w+DIQcgBCADQuqjhNABfnwgAkIgiHwiAkL/////D4MhBiAFIAJCIIh8IgJC/////w+DIQQgEiACQiCIfCEFIAggGiAafnwiAkL/////D4MhCCAHIBogG34iA0L/////D4NCAYZ8IAJCIIh8IgJC/////w+DIQcgA0IgiEIBhiACQiCIfCAGIBogHH4iA0L/////D4NCAYZ8fCICQv////8PgyEGIANCIIhCAYYgAkIgiHwgBCARIBp+IgNC/////w+DQgGGfHwiAkL/////D4MhBCAFIANCIIhCAYYgAkIgiHx8IgJC/////w+DIQUgAkIgiCESIAogCkL9//P/D35C/////w+DIgNCq9X+/w9+fEIgiCAQIANC///7zwt+fHwiAkL////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+var pG1b = 4776; +var pG1gen = 42968; +var pG1zero = 43112; +var pG2b = 17272; +var pG2gen = 43256; +var pG2zero = 43544; +var pOneT = 43832; +var pr = 3464; +var preQSize = 20448; +var q = "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787"; +var r = "52435875175126190479447740508185965837690552500527637822603658699938581184513"; +//#endregion +//#region src/bls12381.js +var curve_bls12381 = null; async function buildBls12381(singleThread, plugins) { - if ((!singleThread) && (globalThis.curve_bls12381)) return globalThis.curve_bls12381; - - const moduleBuilder = new wasmbuilder.ModuleBuilder(); - moduleBuilder.setMemory(25); - wasmcurves.buildBls12381(moduleBuilder); - - if (plugins) plugins(moduleBuilder); - - const bls12381wasm = {}; - - bls12381wasm.code = moduleBuilder.build(); - bls12381wasm.pq = moduleBuilder.modules.f1m.pq; - bls12381wasm.pr = moduleBuilder.modules.frm.pq; - bls12381wasm.pG1gen = moduleBuilder.modules.bls12381.pG1gen; - bls12381wasm.pG1zero = moduleBuilder.modules.bls12381.pG1zero; - bls12381wasm.pG1b = moduleBuilder.modules.bls12381.pG1b; - bls12381wasm.pG2gen = moduleBuilder.modules.bls12381.pG2gen; - bls12381wasm.pG2zero = moduleBuilder.modules.bls12381.pG2zero; - bls12381wasm.pG2b = moduleBuilder.modules.bls12381.pG2b; - bls12381wasm.pOneT = moduleBuilder.modules.bls12381.pOneT; - bls12381wasm.prePSize = moduleBuilder.modules.bls12381.prePSize; - bls12381wasm.preQSize = moduleBuilder.modules.bls12381.preQSize; - bls12381wasm.n8q = 48; - bls12381wasm.n8r = 32; - bls12381wasm.q = moduleBuilder.modules.bls12381.q; - bls12381wasm.r = moduleBuilder.modules.bls12381.r; - - - const params = { - name: "bls12381", - wasm: bls12381wasm, - q: e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16), - r: e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16), - n8q: 48, - n8r: 32, - cofactorG1: e("0x396c8c005555e1568c00aaab0000aaab", 16), - cofactorG2: e("0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5", 16), - singleThread: singleThread ? true : false - }; - - const curve = await buildEngine(params); - curve.terminate = async function () { - if (!params.singleThread) { - globalThis.curve_bls12381 = null; - await this.tm.terminate(); - } - }; - - if (!singleThread) { - globalThis.curve_bls12381 = curve; - } - - return curve; + if (!singleThread && curve_bls12381) return curve_bls12381; + const bls12381wasm = {}; + if (!plugins) { + bls12381wasm.code = base64ToUint8Array(code); + bls12381wasm.pq = 712; + bls12381wasm.pr = pr; + bls12381wasm.pG1gen = pG1gen; + bls12381wasm.pG1zero = pG1zero; + bls12381wasm.pG1b = pG1b; + bls12381wasm.pG2gen = pG2gen; + bls12381wasm.pG2zero = pG2zero; + bls12381wasm.pG2b = pG2b; + bls12381wasm.pOneT = pOneT; + bls12381wasm.prePSize = 288; + bls12381wasm.preQSize = preQSize; + bls12381wasm.n8q = 48; + bls12381wasm.n8r = 32; + bls12381wasm.q = q; + bls12381wasm.r = r; + } else { + const { ModuleBuilder } = await import("wasmbuilder"); + const { buildBls12381: buildBls12381wasm } = await import("wasmcurves"); + const moduleBuilder = new ModuleBuilder(); + moduleBuilder.setMemory(25); + buildBls12381wasm(moduleBuilder); + if (plugins) plugins(moduleBuilder); + bls12381wasm.code = moduleBuilder.build(); + bls12381wasm.pq = moduleBuilder.modules.f1m.pq; + bls12381wasm.pr = moduleBuilder.modules.frm.pq; + bls12381wasm.pG1gen = moduleBuilder.modules.bls12381.pG1gen; + bls12381wasm.pG1zero = moduleBuilder.modules.bls12381.pG1zero; + bls12381wasm.pG1b = moduleBuilder.modules.bls12381.pG1b; + bls12381wasm.pG2gen = moduleBuilder.modules.bls12381.pG2gen; + bls12381wasm.pG2zero = moduleBuilder.modules.bls12381.pG2zero; + bls12381wasm.pG2b = moduleBuilder.modules.bls12381.pG2b; + bls12381wasm.pOneT = moduleBuilder.modules.bls12381.pOneT; + bls12381wasm.prePSize = moduleBuilder.modules.bls12381.prePSize; + bls12381wasm.preQSize = moduleBuilder.modules.bls12381.preQSize; + bls12381wasm.n8q = 48; + bls12381wasm.n8r = 32; + bls12381wasm.q = moduleBuilder.modules.bls12381.q; + bls12381wasm.r = moduleBuilder.modules.bls12381.r; + } + bls12381wasm.batchCode = base64ToUint8Array(code$1); + bls12381wasm.glv = true; + const params = { + name: "bls12381", + wasm: bls12381wasm, + q: e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16), + r: e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16), + n8q: 48, + n8r: 32, + cofactorG1: e("0x396c8c005555e1568c00aaab0000aaab", 16), + cofactorG2: e("0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5", 16), + singleThread: singleThread ? true : false + }; + const curve = await buildEngine(params); + curve.terminate = async function() { + if (!params.singleThread) { + curve_bls12381 = null; + await this.tm.terminate(); + } + }; + if (!singleThread) curve_bls12381 = curve; + return curve; } - -const bls12381r = e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16); -const bn128r = e("21888242871839275222246405745257275088548364400416034343698204186575808495617"); - -const bls12381q = e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16); -const bn128q = e("21888242871839275222246405745257275088696311157297823662689037894645226208583"); - +//#endregion +//#region src/curves.js +var bls12381r = e("73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001", 16); +var bn128r = e("21888242871839275222246405745257275088548364400416034343698204186575808495617"); +var bls12381q = e("1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab", 16); +var bn128q = e("21888242871839275222246405745257275088696311157297823662689037894645226208583"); async function getCurveFromR(r, singleThread, plugins) { - let curve; - if (eq(r, bn128r)) { - curve = await buildBn128(singleThread, plugins); - } else if (eq(r, bls12381r)) { - curve = await buildBls12381(singleThread, plugins); - } else { - throw new Error(`Curve not supported: ${toString(r)}`); - } - return curve; + let curve; + if (eq(r, bn128r)) curve = await buildBn128(singleThread, plugins); + else if (eq(r, bls12381r)) curve = await buildBls12381(singleThread, plugins); + else throw new Error(`Curve not supported: ${toString(r)}`); + return curve; } - async function getCurveFromQ(q, singleThread, plugins) { - let curve; - if (eq(q, bn128q)) { - curve = await buildBn128(singleThread, plugins); - } else if (eq(q, bls12381q)) { - curve = await buildBls12381(singleThread, plugins); - } else { - throw new Error(`Curve not supported: ${toString(q, 16)}`); - } - return curve; + let curve; + if (eq(q, bn128q)) curve = await buildBn128(singleThread, plugins); + else if (eq(q, bls12381q)) curve = await buildBls12381(singleThread, plugins); + else throw new Error(`Curve not supported: ${toString(q, 16)}`); + return curve; } - async function getCurveFromName(name, singleThread, plugins) { - let curve; - const normName = normalizeName(name); - if (["BN128", "BN254", "ALTBN128"].indexOf(normName) >= 0) { - curve = await buildBn128(singleThread, plugins); - } else if (["BLS12381"].indexOf(normName) >= 0) { - curve = await buildBls12381(singleThread, plugins); - } else { - throw new Error(`Curve not supported: ${name}`); - } - return curve; - - function normalizeName(n) { - return n.toUpperCase().match(/[A-Za-z0-9]+/g).join(""); - } - + let curve; + const normName = normalizeName(name); + if ([ + "BN128", + "BN254", + "ALTBN128" + ].indexOf(normName) >= 0) curve = await buildBn128(singleThread, plugins); + else if (["BLS12381"].indexOf(normName) >= 0) curve = await buildBls12381(singleThread, plugins); + else throw new Error(`Curve not supported: ${name}`); + return curve; + function normalizeName(n) { + return n.toUpperCase().match(/[A-Za-z0-9]+/g).join(""); + } } - -const Scalar=_Scalar; -const utils = _utils; - +//#endregion +//#region main.js +var Scalar = scalar_exports; +var utils = utils_exports; +//#endregion exports.BigBuffer = BigBuffer; exports.ChaCha = ChaCha; exports.EC = EC; diff --git a/eslint.config.js b/eslint.config.js new file mode 100644 index 0000000..4ffa61a --- /dev/null +++ b/eslint.config.js @@ -0,0 +1,41 @@ +import js from "@eslint/js"; +import globals from "globals"; + +export default [ + { ignores: ["build/**"] }, + js.configs.recommended, + { + languageOptions: { + ecmaVersion: "latest", + sourceType: "module", + globals: { + ...globals.node, + ...globals.browser, + // vitest globals (enabled via globals:true in vite.config.js) + describe: "readonly", + it: "readonly", + test: "readonly", + expect: "readonly", + beforeAll: "readonly", + afterAll: "readonly", + beforeEach: "readonly", + afterEach: "readonly", + vi: "readonly", + }, + }, + rules: { + "no-unused-vars": ["error", { caughtErrors: "none" }], + indent: ["error", 4], + "linebreak-style": ["warn", "unix"], + quotes: ["error", "double"], + semi: ["error", "always"], + }, + }, + { + // `import "ses"` installs these as ambient globals + files: ["test/ses/**"], + languageOptions: { + globals: { lockdown: "readonly", harden: "readonly", Compartment: "readonly" }, + }, + }, +]; diff --git a/package-lock.json b/package-lock.json index 5880f3d..a832b97 100644 --- a/package-lock.json +++ b/package-lock.json @@ -9,48 +9,115 @@ "version": "0.3.1", "license": "GPL-3.0", "dependencies": { - "wasmbuilder": "0.0.16", - "wasmcurves": "0.2.2", "web-worker": "1.5.0" }, "devDependencies": { - "@rollup/plugin-commonjs": "^25.0.4", - "@rollup/plugin-node-resolve": "^15.2.1", - "@rollup/plugin-replace": "^5.0.3", - "chai": "^5.1.1", - "eslint": "^9.12.0", - 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"https://registry.npmjs.org/word-wrap/-/word-wrap-1.2.5.tgz", + "integrity": "sha512-BN22B5eaMMI9UMtjrGd5g5eCYPpCPDUy0FJXbYsaT5zYxjFOckS53SQDE3pWkVoWpHXVb3BrYcEN4Twa55B5cA==", "dev": true, - "dependencies": { - "camelcase": "^6.0.0", - "decamelize": "^4.0.0", - "flat": "^5.0.2", - "is-plain-obj": "^2.1.0" - }, + "license": "MIT", "engines": { - "node": ">=10" + "node": ">=0.10.0" } }, "node_modules/yocto-queue": { diff --git a/package.json b/package.json index a3ad475..a971e82 100644 --- a/package.json +++ b/package.json @@ -14,11 +14,21 @@ "browser": "./build/browser.esm.js" } }, + "browser": { + "os": false, + "crypto": false + }, "scripts": { - "test": "mocha", - "build:node": "rollup -c rollup.cjs.config.js", - "build:browser": "rollup -c rollup.browser.esm.config.js", - "build": "npm run build:node && npm run build:browser" + "lint": "eslint .", + "clean": "rimraf build", + "test": "vitest run", + "test:node": "vitest run --project node-esm", + "test:watch": "vitest --project node-esm", + "test:ses": "node test/ses/lockdown.mjs", + "gen-wasm": "node scripts/gen-wasm.js", + "build:node": "vite build", + "build:browser": "vite build --mode browser", + "build": "npm run clean && npm run build:node && npm run build:browser" }, "repository": { "type": "git", @@ -39,17 +49,27 @@ }, "homepage": "https://github.com/iden3/ffjavascript", "dependencies": { - "wasmbuilder": "0.0.16", - "wasmcurves": "0.2.2", "web-worker": "1.5.0" }, + "optionalDependencies": { + "wasmbuilder": "0.0.16", + "wasmcurves": "git+https://github.com/iden3/wasmcurves.git#13d4acc125b794a4e28a5dc1ea99f015d863ec98" + }, "devDependencies": { - "@rollup/plugin-commonjs": "^25.0.4", - "@rollup/plugin-node-resolve": "^15.2.1", - "@rollup/plugin-replace": "^5.0.3", - "chai": "^5.1.1", - "eslint": "^9.12.0", - "mocha": "^10.7.3", - "rollup": "^3.29.4" + "@eslint/js": "^10.0.1", + "@rollup/plugin-replace": "^6.0.3", + "binaryen": "^130.0.0", + "eslint": "^10.6.0", + "globals": "^17.7.0", + "rimraf": "^6.1.3", + "ses": "^2.2.0", + "vite": "^8.0.3", + "vitest": "^4.1.2" + }, + "overrides": { + "serialize-javascript": "^7.0.5", + "diff": "^8.0.3", + "postcss": "^8.5.26", + "brace-expansion": "^5.0.9" } } diff --git a/rollup.browser.esm.config.js b/rollup.browser.esm.config.js deleted file mode 100644 index 104a1e1..0000000 --- a/rollup.browser.esm.config.js +++ /dev/null @@ -1,41 +0,0 @@ -import commonJS from "@rollup/plugin-commonjs"; -import replace from "@rollup/plugin-replace"; -import { nodeResolve } from "@rollup/plugin-node-resolve"; -import thread from "./src/threadman_thread.js"; - -export default [ - { - input: "main.js", - output: [ - { - format: "es", - file: "build/browser.esm.js", - }, - ], - plugins: [ - replace({ - preventAssignment: true, - changed: "replaced", - delimiters: ["", ""], - /* - * The following variable replaces to true in the build in the similar way as snarkjs does. - * https://github.com/iden3/snarkjs/blob/ef9042451f98f254b520b8ce9b9544a849e90a5d/config/rollup.iife.config.js - */ - "process.browser": true, - "import Worker from \"web-worker\"": "", - /* - Because of some frontend frameworks uses monkey patching to track UI changes or other purposes (including Angular, AngularJS, Ember.js, JQuery...), it's important to make sure that the thread function is not modified by the framework and passing in the web worker as it is. - */ - "thread.toString()": JSON.stringify(thread.toString()), - }), - commonJS(), - nodeResolve({ - browser: true, - }), - ], - treeshake: { - // remove unused imports from the build - preset: "smallest", - }, - }, -]; diff --git a/rollup.cjs.config.js b/rollup.cjs.config.js deleted file mode 100644 index f15b538..0000000 --- a/rollup.cjs.config.js +++ /dev/null @@ -1,16 +0,0 @@ -import fs from "fs"; -import { builtinModules as builtin } from "module"; - -const pkg = JSON.parse(fs.readFileSync("./package.json")); - -export default { - input: "main.js", - output: { - file: "build/main.cjs", - format: "cjs", - }, - external: [ - ...Object.keys(pkg.dependencies), - ...builtin, - ] -}; diff --git a/scripts/gen-wasm.js b/scripts/gen-wasm.js new file mode 100644 index 0000000..a546683 --- /dev/null +++ b/scripts/gen-wasm.js @@ -0,0 +1,75 @@ +// Dev-only: regenerate the vendored prebuilt wasm modules from wasmcurves. +// Run: npm run gen-wasm (wasmcurves + binaryen are devDependencies) +// +// We vendor the UNCOMPRESSED prebuilt (base64 of the raw wasm). wasmcurves emits +// an unoptimized, hand-assembled module; we run `wasm-opt -O2` over it before +// vendoring -- this shrinks the binary (dead-local removal, inlining, internal +// DCE) with no behaviour change. NOTE: -O2 on purpose, not -Oz/-O3 -- both of +// those pessimize the hot CIOS Montgomery mul by ~15% (measured 61.5-61.8ns vs +// 53.4ns per mul; their aggressive local restructuring fights V8's register +// allocator), while -O2 is the fastest of all levels. `code` is base64 of the +// OPTIMIZED wasm; the rest are pointer offsets / moduli (unchanged -- wasm-opt +// preserves the data layout those pointers reference). +import { createRequire } from "module"; +import { writeFileSync, mkdirSync, readFileSync, rmSync } from "fs"; +import { fileURLToPath } from "url"; +import { dirname, join } from "path"; +import { execFileSync } from "child_process"; +import { tmpdir } from "os"; + +const require = createRequire(import.meta.url); +const here = dirname(fileURLToPath(import.meta.url)); +const outDir = join(here, "..", "src", "wasm"); +mkdirSync(outDir, { recursive: true }); + +// Resolve the wasm-opt binary shipped by the `binaryen` devDependency. +const wasmOpt = join(dirname(require.resolve("binaryen/package.json")), "bin", "wasm-opt"); + +// base64 wasm -> `wasm-opt -O2` -> base64 wasm. Uses temp files so we invoke the +// exact CLI optimizer (deterministic, matches the -Oz pipeline 1:1). +function optimize(b64, name) { + const raw = Buffer.from(b64, "base64"); + const inFile = join(tmpdir(), `ffjs-genwasm-${name}-in.wasm`); + const outFile = join(tmpdir(), `ffjs-genwasm-${name}-out.wasm`); + try { + writeFileSync(inFile, raw); + execFileSync(wasmOpt, ["-O2", inFile, "-o", outFile], { stdio: ["ignore", "ignore", "inherit"] }); + const opt = readFileSync(outFile); + return { b64: opt.toString("base64"), before: raw.length, after: opt.length }; + } finally { + rmSync(inFile, { force: true }); + rmSync(outFile, { force: true }); + } +} + +// Batch-affine MSM helper module (AssemblyScript). Curve-independent: it +// imports the field/group ops and shares the main module's memory, so one +// binary serves bn128 and bls12381. +{ + const raw = readFileSync(require.resolve("wasmcurves/build/msm_batch.wasm")); + const { b64, before, after } = optimize(raw.toString("base64"), "msm_batch"); + const header = + "// AUTO-GENERATED from wasmcurves/build/msm_batch.wasm — do not edit.\n" + + "// Regenerate with: npm run gen-wasm\n" + + "// Batch-affine MSM module; links against the main curve module at runtime.\n"; + writeFileSync(join(outDir, "msm_batch_wasm.js"), header + `export const code = ${JSON.stringify(b64)};\n`); + console.log(`wrote src/wasm/msm_batch_wasm.js (wasm ${before} -> ${after} bytes)`); +} + +for (const name of ["bn128", "bls12381"]) { + const m = require(`wasmcurves/build/${name}_wasm.js`); // uncompressed prebuilt (CJS) + const { b64, before, after } = optimize(m.code, name); + const out = { ...m, code: b64 }; + const keys = Object.keys(out); + const body = keys.map((k) => `export const ${k} = ${JSON.stringify(out[k])};`).join("\n"); + const header = + `// AUTO-GENERATED from wasmcurves/build/${name}_wasm.js — do not edit.\n` + + "// Regenerate with: npm run gen-wasm\n" + + "// 'code' is base64 of the wasm-opt -O2 optimized wasm; the rest are\n" + + "// pointer offsets / field moduli.\n"; + writeFileSync(join(outDir, `${name}_wasm.js`), header + body + "\n"); + const pct = Math.round((1 - after / before) * 100); + console.log( + `wrote src/wasm/${name}_wasm.js (${keys.length} exports, wasm ${before} -> ${after} bytes, -${pct}%)` + ); +} diff --git a/src/bigbuffer.js b/src/bigbuffer.js index 1064a02..05555a4 100644 --- a/src/bigbuffer.js +++ b/src/bigbuffer.js @@ -1,5 +1,8 @@ -const PAGE_SIZE = 1<<30; +// 1 GiB page size: a deliberately conservative, fragmentation-friendly page -- not +// the engine's max single-buffer length (~8 GiB+), which would defeat paging and +// risk OOM on the multi-GiB G1/G2 buffers large circuits produce. +const PAGE_SIZE = 1 << 30; export default class BigBuffer { @@ -63,7 +66,10 @@ export default class BigBuffer { if (firstPage == lastPage) { if ((buff instanceof BigBuffer)&&(buff.buffers.length==1)) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ return this.buffers[firstPage].set(buff.buffers[0], offset % PAGE_SIZE); + /* c8 ignore stop */ } else { return this.buffers[firstPage].set(buff, offset % PAGE_SIZE); } diff --git a/src/bls12381.js b/src/bls12381.js index ce012b8..fbb3036 100644 --- a/src/bls12381.js +++ b/src/bls12381.js @@ -1,38 +1,78 @@ -import { buildBls12381 as buildBls12381wasm } from "wasmcurves"; import buildEngine from "./engine.js"; import * as Scalar from "./scalar.js"; -import { ModuleBuilder } from "wasmbuilder"; +import * as bls12381wasmPrebuilt from "./wasm/bls12381_wasm.js"; +import * as msmBatchPrebuilt from "./wasm/msm_batch_wasm.js"; +import { base64ToUint8Array } from "./wasm/base64.js"; -globalThis.curve_bls12381 = null; +// Module-local singleton cache. Must NOT be on globalThis: assigning to a frozen +// globalThis (e.g. a SES hardened-profile realm) throws at module load. +let curve_bls12381 = null; export default async function buildBls12381(singleThread, plugins) { - if ((!singleThread) && (globalThis.curve_bls12381)) return globalThis.curve_bls12381; + if ((!singleThread) && (curve_bls12381)) return curve_bls12381; - const moduleBuilder = new ModuleBuilder(); - moduleBuilder.setMemory(25); - buildBls12381wasm(moduleBuilder); + const bls12381wasm = {}; - if (plugins) plugins(moduleBuilder); + if (!plugins) { + // Vendored, uncompressed prebuilt wasm: static import (no runtime + // wasmcurves dependency, no dynamic import) and base64-decoded without + // atob/DecompressionStream, so it loads in Node, browsers and SES + // hardened realms alike. Also avoids recompiling the wasm on every load. + // Regenerate the vendored module with `npm run gen-wasm`. + bls12381wasm.code = base64ToUint8Array(bls12381wasmPrebuilt.code); + bls12381wasm.pq = bls12381wasmPrebuilt.pq; + bls12381wasm.pr = bls12381wasmPrebuilt.pr; + bls12381wasm.pG1gen = bls12381wasmPrebuilt.pG1gen; + bls12381wasm.pG1zero = bls12381wasmPrebuilt.pG1zero; + bls12381wasm.pG1b = bls12381wasmPrebuilt.pG1b; + bls12381wasm.pG2gen = bls12381wasmPrebuilt.pG2gen; + bls12381wasm.pG2zero = bls12381wasmPrebuilt.pG2zero; + bls12381wasm.pG2b = bls12381wasmPrebuilt.pG2b; + bls12381wasm.pOneT = bls12381wasmPrebuilt.pOneT; + bls12381wasm.prePSize = bls12381wasmPrebuilt.prePSize; + bls12381wasm.preQSize = bls12381wasmPrebuilt.preQSize; + bls12381wasm.n8q = 48; + bls12381wasm.n8r = 32; + bls12381wasm.q = bls12381wasmPrebuilt.q; + bls12381wasm.r = bls12381wasmPrebuilt.r; + } else { + // Custom-plugin build path: builds the wasm at runtime, so it needs the + // wasm toolchain. Kept as a dynamic import so wasmbuilder/wasmcurves stay + // OPTIONAL dependencies (only required when a caller passes `plugins`). + const { ModuleBuilder } = await import("wasmbuilder"); + const { buildBls12381: buildBls12381wasm } = await import("wasmcurves"); - const bls12381wasm = {}; + const moduleBuilder = new ModuleBuilder(); + moduleBuilder.setMemory(25); + buildBls12381wasm(moduleBuilder); + + if (plugins) plugins(moduleBuilder); + + bls12381wasm.code = moduleBuilder.build(); + bls12381wasm.pq = moduleBuilder.modules.f1m.pq; + bls12381wasm.pr = moduleBuilder.modules.frm.pq; + bls12381wasm.pG1gen = moduleBuilder.modules.bls12381.pG1gen; + bls12381wasm.pG1zero = moduleBuilder.modules.bls12381.pG1zero; + bls12381wasm.pG1b = moduleBuilder.modules.bls12381.pG1b; + bls12381wasm.pG2gen = moduleBuilder.modules.bls12381.pG2gen; + bls12381wasm.pG2zero = moduleBuilder.modules.bls12381.pG2zero; + bls12381wasm.pG2b = moduleBuilder.modules.bls12381.pG2b; + bls12381wasm.pOneT = moduleBuilder.modules.bls12381.pOneT; + bls12381wasm.prePSize = moduleBuilder.modules.bls12381.prePSize; + bls12381wasm.preQSize = moduleBuilder.modules.bls12381.preQSize; + bls12381wasm.n8q = 48; + bls12381wasm.n8r = 32; + bls12381wasm.q = moduleBuilder.modules.bls12381.q; + bls12381wasm.r = moduleBuilder.modules.bls12381.r; + } - bls12381wasm.code = moduleBuilder.build(); - bls12381wasm.pq = moduleBuilder.modules.f1m.pq; - bls12381wasm.pr = moduleBuilder.modules.frm.pq; - bls12381wasm.pG1gen = moduleBuilder.modules.bls12381.pG1gen; - bls12381wasm.pG1zero = moduleBuilder.modules.bls12381.pG1zero; - bls12381wasm.pG1b = moduleBuilder.modules.bls12381.pG1b; - bls12381wasm.pG2gen = moduleBuilder.modules.bls12381.pG2gen; - bls12381wasm.pG2zero = moduleBuilder.modules.bls12381.pG2zero; - bls12381wasm.pG2b = moduleBuilder.modules.bls12381.pG2b; - bls12381wasm.pOneT = moduleBuilder.modules.bls12381.pOneT; - bls12381wasm.prePSize = moduleBuilder.modules.bls12381.prePSize; - bls12381wasm.preQSize = moduleBuilder.modules.bls12381.preQSize; - bls12381wasm.n8q = 48; - bls12381wasm.n8r = 32; - bls12381wasm.q = moduleBuilder.modules.bls12381.q; - bls12381wasm.r = moduleBuilder.modules.bls12381.r; + // Batch-affine MSM helper module (curve-independent; links against the + // main module's exports + memory at runtime in each worker). + bls12381wasm.batchCode = base64ToUint8Array(msmBatchPrebuilt.code); + // The batch module's GLV path carries bls12-381 G1 constants too (G2 GLS + // is bn254-only; the wasm falls through internally for bls G2 sizes). + bls12381wasm.glv = true; const params = { name: "bls12381", @@ -49,13 +89,13 @@ export default async function buildBls12381(singleThread, plugins) { const curve = await buildEngine(params); curve.terminate = async function () { if (!params.singleThread) { - globalThis.curve_bls12381 = null; + curve_bls12381 = null; await this.tm.terminate(); } }; if (!singleThread) { - globalThis.curve_bls12381 = curve; + curve_bls12381 = curve; } return curve; diff --git a/src/bn128.js b/src/bn128.js index 7a421c1..f744ea7 100644 --- a/src/bn128.js +++ b/src/bn128.js @@ -1,37 +1,75 @@ -import { buildBn128 as buildBn128wasm } from "wasmcurves"; import buildEngine from "./engine.js"; import * as Scalar from "./scalar.js"; -import { ModuleBuilder } from "wasmbuilder"; +import * as bn128wasmPrebuilt from "./wasm/bn128_wasm.js"; +import * as msmBatchPrebuilt from "./wasm/msm_batch_wasm.js"; +import { base64ToUint8Array } from "./wasm/base64.js"; -globalThis.curve_bn128 = null; +// Module-local singleton cache. Must NOT be on globalThis: assigning to a frozen +// globalThis (e.g. a SES hardened-profile realm) throws at module load. +let curve_bn128 = null; export default async function buildBn128(singleThread, plugins) { - if ((!singleThread) && (globalThis.curve_bn128)) return globalThis.curve_bn128; - - const moduleBuilder = new ModuleBuilder(); - moduleBuilder.setMemory(25); - buildBn128wasm(moduleBuilder); - - if (plugins) plugins(moduleBuilder); - - const bn128wasm = {}; - - bn128wasm.code = moduleBuilder.build(); - bn128wasm.pq = moduleBuilder.modules.f1m.pq; - bn128wasm.pr = moduleBuilder.modules.frm.pq; - bn128wasm.pG1gen = moduleBuilder.modules.bn128.pG1gen; - bn128wasm.pG1zero = moduleBuilder.modules.bn128.pG1zero; - bn128wasm.pG1b = moduleBuilder.modules.bn128.pG1b; - bn128wasm.pG2gen = moduleBuilder.modules.bn128.pG2gen; - bn128wasm.pG2zero = moduleBuilder.modules.bn128.pG2zero; - bn128wasm.pG2b = moduleBuilder.modules.bn128.pG2b; - bn128wasm.pOneT = moduleBuilder.modules.bn128.pOneT; - bn128wasm.prePSize = moduleBuilder.modules.bn128.prePSize; - bn128wasm.preQSize = moduleBuilder.modules.bn128.preQSize; - bn128wasm.n8q = 32; - bn128wasm.n8r = 32; - bn128wasm.q = moduleBuilder.modules.bn128.q; - bn128wasm.r = moduleBuilder.modules.bn128.r; + if ((!singleThread) && (curve_bn128)) return curve_bn128; + + let bn128wasm = {}; + + if (!plugins) { + // Vendored, uncompressed prebuilt wasm: statically imported (no runtime + // wasmcurves dependency, no dynamic import) and base64-decoded without + // atob/DecompressionStream, so it loads in Node, browsers and SES + // hardened realms alike. Regenerate the vendored module with `npm run gen-wasm`. + bn128wasm.code = base64ToUint8Array(bn128wasmPrebuilt.code); + bn128wasm.pq = bn128wasmPrebuilt.pq; + bn128wasm.pr = bn128wasmPrebuilt.pq; + bn128wasm.pG1gen = bn128wasmPrebuilt.pG1gen; + bn128wasm.pG1zero = bn128wasmPrebuilt.pG1zero; + bn128wasm.pG1b = bn128wasmPrebuilt.pG1b; + bn128wasm.pG2gen = bn128wasmPrebuilt.pG2gen; + bn128wasm.pG2zero = bn128wasmPrebuilt.pG2zero; + bn128wasm.pG2b = bn128wasmPrebuilt.pG2b; + bn128wasm.pOneT = bn128wasmPrebuilt.pOneT; + bn128wasm.prePSize = bn128wasmPrebuilt.prePSize; + bn128wasm.preQSize = bn128wasmPrebuilt.preQSize; + bn128wasm.n8q = 32; + bn128wasm.n8r = 32; + bn128wasm.q = bn128wasmPrebuilt.q; + bn128wasm.r = bn128wasmPrebuilt.r; + } else { + // Custom-plugin build path: builds the wasm at runtime, so it needs the + // wasm toolchain. Kept as a dynamic import so wasmbuilder/wasmcurves stay + // OPTIONAL dependencies (only required when a caller passes `plugins`). + const { ModuleBuilder } = await import("wasmbuilder"); + const { buildBn128: buildBn128wasm } = await import("wasmcurves"); + + const moduleBuilder = new ModuleBuilder(); + moduleBuilder.setMemory(25); + buildBn128wasm(moduleBuilder); + + if (plugins) plugins(moduleBuilder); + + bn128wasm.code = moduleBuilder.build(); + bn128wasm.pq = moduleBuilder.modules.f1m.pq; + bn128wasm.pr = moduleBuilder.modules.frm.pq; + bn128wasm.pG1gen = moduleBuilder.modules.bn128.pG1gen; + bn128wasm.pG1zero = moduleBuilder.modules.bn128.pG1zero; + bn128wasm.pG1b = moduleBuilder.modules.bn128.pG1b; + bn128wasm.pG2gen = moduleBuilder.modules.bn128.pG2gen; + bn128wasm.pG2zero = moduleBuilder.modules.bn128.pG2zero; + bn128wasm.pG2b = moduleBuilder.modules.bn128.pG2b; + bn128wasm.pOneT = moduleBuilder.modules.bn128.pOneT; + bn128wasm.prePSize = moduleBuilder.modules.bn128.prePSize; + bn128wasm.preQSize = moduleBuilder.modules.bn128.preQSize; + bn128wasm.n8q = 32; + bn128wasm.n8r = 32; + bn128wasm.q = moduleBuilder.modules.bn128.q; + bn128wasm.r = moduleBuilder.modules.bn128.r; + } + + // Batch-affine MSM helper module (curve-independent; links against the + // main module's exports + memory at runtime in each worker). + bn128wasm.batchCode = base64ToUint8Array(msmBatchPrebuilt.code); + // The batch module's GLV path hardcodes the bn254 endomorphism constants. + bn128wasm.glv = true; const params = { name: "bn128", @@ -47,13 +85,13 @@ export default async function buildBn128(singleThread, plugins) { const curve = await buildEngine(params); curve.terminate = async function () { if (!params.singleThread) { - globalThis.curve_bn128 = null; + curve_bn128 = null; await this.tm.terminate(); } }; if (!singleThread) { - globalThis.curve_bn128 = curve; + curve_bn128 = curve; } return curve; diff --git a/src/chacha.js b/src/chacha.js index f1b76a2..c7316a8 100644 --- a/src/chacha.js +++ b/src/chacha.js @@ -87,10 +87,13 @@ export default class ChaCha { this.state[12] = (this.state[12] + 1) >>> 0; if (this.state[12] != 0) return; + // coverage: requires 2^32 rng draws to roll the counter word + /* c8 ignore start */ this.state[13] = (this.state[13] + 1) >>> 0; if (this.state[13] != 0) return; this.state[14] = (this.state[14] + 1) >>> 0; if (this.state[14] != 0) return; this.state[15] = (this.state[15] + 1) >>> 0; + /* c8 ignore stop */ } } diff --git a/src/ec.js b/src/ec.js index 0559006..cecedc1 100644 --- a/src/ec.js +++ b/src/ec.js @@ -24,6 +24,8 @@ import * as Scalar from "./scalar.js"; function isGreatest(F, a) { + // coverage: legacy pure-JS algorithm interior kept for reference + /* c8 ignore start */ if (Array.isArray(a)) { for (let i=a.length-1; i>=0; i--) { if (!F.F.isZero(a[i])) { @@ -31,6 +33,7 @@ function isGreatest(F, a) { } } return 0; + /* c8 ignore stop */ } else { const na = F.neg(a); return Scalar.gt(a, na); @@ -258,9 +261,12 @@ export default class EC { if (greatest ^ s) P[1] = F.neg(P[1]); P[2] = F.one; + // coverage: legacy pure-JS algorithm interior kept for reference + /* c8 ignore start */ if (this.cofactor) { P = this.mulScalar(P, this.cofactor); } + /* c8 ignore stop */ P = this.affine(P); @@ -271,7 +277,9 @@ export default class EC { toRprLE(buff, o, p) { p = this.affine(p); if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); + // buff is a Uint8Array view: constructing from it directly would + // copy instead of aliasing, silently discarding the zero-fill + const BuffV = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8*2); BuffV.fill(0); return; } @@ -282,7 +290,9 @@ export default class EC { toRprBE(buff, o, p) { p = this.affine(p); if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); + // buff is a Uint8Array view: constructing from it directly would + // copy instead of aliasing, silently discarding the zero-fill + const BuffV = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8*2); BuffV.fill(0); return; } @@ -293,7 +303,9 @@ export default class EC { toRprLEM(buff, o, p) { p = this.affine(p); if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); + // buff is a Uint8Array view: constructing from it directly would + // copy instead of aliasing, silently discarding the zero-fill + const BuffV = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8*2); BuffV.fill(0); return; } @@ -304,7 +316,9 @@ export default class EC { toRprLEJM(buff, o, p) { p = this.affine(p); if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); + // buff is a Uint8Array view: constructing from it directly would + // copy instead of aliasing, silently discarding the zero-fill + const BuffV = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8*2); BuffV.fill(0); return; } @@ -317,7 +331,9 @@ export default class EC { toRprBEM(buff, o, p) { p = this.affine(p); if (this.isZero(p)) { - const BuffV = new Uint8Array(buff, o, this.F.n8*2); + // buff is a Uint8Array view: constructing from it directly would + // copy instead of aliasing, silently discarding the zero-fill + const BuffV = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8*2); BuffV.fill(0); return; } @@ -378,7 +394,7 @@ export default class EC { fromRprCompressed(buff, o) { const F = this.F; - const v = new Uint8Array(buff.buffer, o, F.n8); + const v = new Uint8Array(buff.buffer, buff.byteOffset + o, F.n8); if (v[0] & 0x40) return this.zero; const P = new Array(3); @@ -390,9 +406,12 @@ export default class EC { const x3b = F.add(F.mul(F.square(P[0]), P[0]), this.b); P[1] = F.sqrt(x3b); + // coverage: defensive guard against states the callers cannot produce + /* c8 ignore start */ if (P[1] === null) { throw new Error("Invalid Point!"); } + /* c8 ignore stop */ const s = isGreatest(F, P[1]); if (greatest ^ s) P[1] = F.neg(P[1]); @@ -403,7 +422,7 @@ export default class EC { toRprCompressed(buff, o, p) { p = this.affine(p); - const v = new Uint8Array(buff.buffer, o, this.F.n8); + const v = new Uint8Array(buff.buffer, buff.byteOffset + o, this.F.n8); if (this.isZero(p)) { v.fill(0); v[0] = 0x40; diff --git a/src/engine_applykey.js b/src/engine_applykey.js index 5857d8c..8e54744 100644 --- a/src/engine_applykey.js +++ b/src/engine_applykey.js @@ -46,8 +46,11 @@ export default function buildBatchApplyKey(curve, groupName) { sGmid = G.n8; sGout = G.n8; } else { + // coverage: defensive guard against states the callers cannot produce + /* c8 ignore start */ throw new Error("Invalid group: " + groupName); } + /* c8 ignore stop */ const nPoints = Math.floor(buff.byteLength / sGin); const pointsPerChunk = Math.floor(nPoints/tm.concurrency); const opPromises = []; @@ -64,10 +67,12 @@ export default function buildBatchApplyKey(curve, groupName) { const task = []; + const b = buff.slice(i*pointsPerChunk*sGin, i*pointsPerChunk*sGin + n*sGin); + task.push({ cmd: "ALLOCSET", var: 0, - buff: buff.slice(i*pointsPerChunk*sGin, i*pointsPerChunk*sGin + n*sGin) + buff: b }); task.push({cmd: "ALLOCSET", var: 1, buff: t}); task.push({cmd: "ALLOCSET", var: 2, buff: inc}); @@ -96,7 +101,7 @@ export default function buildBatchApplyKey(curve, groupName) { } task.push({cmd: "GET", out: 0, var: 3, len: n*sGout}); - opPromises.push(tm.queueAction(task)); + opPromises.push(tm.queueAction(task, [b.buffer])); t = Fr.mul(t, Fr.exp(inc, n)); } @@ -104,7 +109,10 @@ export default function buildBatchApplyKey(curve, groupName) { let outBuff; if (buff instanceof BigBuffer) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ outBuff = new BigBuffer(nPoints*sGout); + /* c8 ignore stop */ } else { outBuff = new Uint8Array(nPoints*sGout); } diff --git a/src/engine_batchconvert.js b/src/engine_batchconvert.js index 0acf524..1adb3bf 100644 --- a/src/engine_batchconvert.js +++ b/src/engine_batchconvert.js @@ -29,7 +29,7 @@ export default function buildBatchConvert(tm, fnName, sIn, sOut) { {cmd: "GET", out: 0, var: 1, len:sOut * n}, ]; opPromises.push( - tm.queueAction(task) + tm.queueAction(task, [buffChunk.buffer]) ); } diff --git a/src/engine_fft.js b/src/engine_fft.js index 5ae955b..330f838 100644 --- a/src/engine_fft.js +++ b/src/engine_fft.js @@ -1,4 +1,4 @@ -import {log2, buffReverseBits, array2buffer, buffer2array} from "./utils.js"; +import {log2, array2buffer, buffer2array} from "./utils.js"; import BigBuffer from "./bigbuffer.js"; @@ -6,7 +6,28 @@ export default function buildFFT(curve, groupName) { const G = curve[groupName]; const Fr = curve.Fr; const tm = G.tm; - async function _fft(buff, inverse, inType, outType, logger, loggerTxt) { + + // In-place bit-reversal permutation in a worker. The buffer is transferred + // in, reversed where it lies via plain typed-array lane swaps (no WASM + // linear memory grown, nothing allocated), and transferred back. Both + // transfers are pointer moves, so this is zero-copy. The swap is + // memory-bandwidth bound, so a single worker is as fast as splitting across + // many — which is why no SharedArrayBuffer is needed (only concurrent + // multi-worker access to one buffer would require that). + async function _reversePermutation(buff, sIn, bits) { + const res = await tm.queueAction( + [{cmd: "REVERSE", src: buff, sIn, bits}], + [buff.buffer] // transfer in; reversed in place and transferred back + ); + return res[0]; + } + + // `consume`: when true the caller cedes ownership of `buff` -- we skip the + // defensive full-copy below and reverse/transfer the caller's buffer in place + // (its backing ArrayBuffer is detached as a result). Only pass it when the + // input is discarded right after the call (e.g. the groth16 IFFT->applyKey->FFT + // pipeline). Default false preserves the input. + async function _fft(buff, inverse, inType, outType, logger, loggerTxt, consume) { inType = inType || "affine"; outType = outType || "affine"; @@ -69,7 +90,11 @@ export default function buildFFT(curve, groupName) { if (Array.isArray(buff)) { buff = array2buffer(buff, sIn); returnArray = true; - } else { + } else if (!consume || !ArrayBuffer.isView(buff)) { + // Defensive copy: the bit-reversal runs in place and chunks are + // transferred, so without consume we must not touch the caller's buffer. + // It also flattens a BigBuffer (no single .buffer to transfer) to a + // Uint8Array, so consume can only be honoured for an ArrayBuffer view. buff = buff.slice(0, buff.byteLength); } @@ -80,6 +105,8 @@ export default function buildFFT(curve, groupName) { throw new Error("fft must be multiple of 2" ); } + // coverage: requires a 2^(s+1)-point domain (>= 16 GiB for bn128); only full-size ceremonies reach this + /* c8 ignore start */ if (bits == Fr.s +1) { let buffOut; @@ -95,6 +122,7 @@ export default function buildFFT(curve, groupName) { return buffOut; } } + /* c8 ignore stop */ let inv; if (inverse) { @@ -103,7 +131,14 @@ export default function buildFFT(curve, groupName) { let buffOut; - buffReverseBits(buff, sIn); + // Bit-reversal permutation. Like the old pure-JS buffReverseBits, this is + // just a permutation of fixed-size (sIn-byte) elements and works for any + // element size, so it covers Fr, G1 and G2 alike. Reversed in place in a + // worker via typed-array swaps — no WASM linear memory grown, nothing + // allocated. (The previous WASM __reversePermutation swapped n8g-sized + // elements rather than sIn-sized ones, which was wrong whenever + // sIn != n8g, e.g. affine-input G1/G2 FFTs.) + buff = await _reversePermutation(buff, sIn, bits); let chunks; let pointsInChunk = Math.min(1 << MAX_BITS_THREAD, nPoints); @@ -117,8 +152,8 @@ export default function buildFFT(curve, groupName) { const l2Chunk = log2(pointsInChunk); const promises = []; + if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix start: ${nChunks}`); for (let i = 0; i< nChunks; i++) { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix start: ${i}/${nChunks}`); const task = []; task.push({cmd: "ALLOC", var: 0, len: sMid*pointsInChunk}); const buffChunk = buff.slice( (pointsInChunk * i)*sIn, (pointsInChunk * (i+1))*sIn); @@ -146,17 +181,15 @@ export default function buildFFT(curve, groupName) { } else { task.push({cmd: "GET", out:0, var: 0, len: sMid*pointsInChunk}); } - promises.push(tm.queueAction(task).then( (r) => { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix end: ${i}/${nChunks}`); - return r; - })); + promises.push(tm.queueAction(task, [buffChunk.buffer])); } chunks = await Promise.all(promises); + if (logger) logger.debug(`${loggerTxt}: fft ${bits} mix end: ${nChunks}`); for (let i = 0; i< nChunks; i++) chunks[i] = chunks[i][0]; for (let i = l2Chunk+1; i<=bits; i++) { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} join: ${i}/${bits}`); + if (logger) logger.debug(`${loggerTxt}: fft ${bits} join: ${i}/${bits}`); const nGroups = 1 << (bits - i); const nChunksPerGroup = nChunks / nGroups; const opPromises = []; @@ -203,10 +236,7 @@ export default function buildFFT(curve, groupName) { task.push({cmd: "GET", out: 0, var: 0, len: pointsInChunk*sMid}); task.push({cmd: "GET", out: 1, var: 1, len: pointsInChunk*sMid}); } - opPromises.push(tm.queueAction(task).then( (r) => { - if (logger) logger.debug(`${loggerTxt}: fft ${bits} join ${i}/${bits} ${j+1}/${nGroups} ${k}/${nChunksPerGroup/2}`); - return r; - })); + opPromises.push(tm.queueAction(task, [chunks[o1].buffer, chunks[o2].buffer, first.buffer ])); } } @@ -223,7 +253,10 @@ export default function buildFFT(curve, groupName) { } if (buff instanceof BigBuffer) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ buffOut = new BigBuffer(nPoints*sOut); + /* c8 ignore stop */ } else { buffOut = new Uint8Array(nPoints*sOut); } @@ -251,6 +284,8 @@ export default function buildFFT(curve, groupName) { } } + // coverage: requires a 2^(s+1)-point domain (>= 16 GiB for bn128); only full-size ceremonies reach this + /* c8 ignore start */ async function _fftExt(buff, inType, outType, logger, loggerTxt) { let b1, b2; b1 = buff.slice( 0 , buff.byteLength/2); @@ -277,7 +312,10 @@ export default function buildFFT(curve, groupName) { return buffOut; } + /* c8 ignore stop */ + // coverage: requires a 2^(s+1)-point domain (>= 16 GiB for bn128); only full-size ceremonies reach this + /* c8 ignore start */ async function _fftExtInv(buff, inType, outType, logger, loggerTxt) { let b1, b2; b1 = buff.slice( 0 , buff.byteLength/2); @@ -305,7 +343,10 @@ export default function buildFFT(curve, groupName) { return buffOut; } + /* c8 ignore stop */ + // coverage: requires a 2^(s+1)-point domain (>= 16 GiB for bn128); only full-size ceremonies reach this + /* c8 ignore start */ async function _fftJoinExt(buff1, buff2, fn, first, inc, inType, outType, logger, loggerTxt) { const MAX_CHUNK_SIZE = 1<<16; const MIN_CHUNK_SIZE = 1<<4; @@ -402,7 +443,7 @@ export default function buildFFT(curve, groupName) { task.push({cmd: "GET", out: 0, var: 0, len: n*sOut}); task.push({cmd: "GET", out: 1, var: 1, len: n*sOut}); opPromises.push( - tm.queueAction(task).then( (r) => { + tm.queueAction(task, [b1.buffer, b2.buffer, firstChunk.buffer]).then((r) => { if (logger) logger.debug(`${loggerTxt}: fftJoinExt End: ${i}/${nPoints}`); return r; }) @@ -431,13 +472,14 @@ export default function buildFFT(curve, groupName) { return [fullBuffOut1, fullBuffOut2]; } + /* c8 ignore stop */ - G.fft = async function(buff, inType, outType, logger, loggerTxt) { - return await _fft(buff, false, inType, outType, logger, loggerTxt); + G.fft = async function(buff, inType, outType, logger, loggerTxt, consume) { + return await _fft(buff, false, inType, outType, logger, loggerTxt, consume); }; - G.ifft = async function(buff, inType, outType, logger, loggerTxt) { - return await _fft(buff, true, inType, outType, logger, loggerTxt); + G.ifft = async function(buff, inType, outType, logger, loggerTxt, consume) { + return await _fft(buff, true, inType, outType, logger, loggerTxt, consume); }; G.lagrangeEvaluations = async function (buff, inType, outType, logger, loggerTxt) { @@ -458,10 +500,13 @@ export default function buildFFT(curve, groupName) { sIn = G.F.n8*3; } } else if (groupName == "Fr") { + // coverage: defensive guard against states the callers cannot produce + /* c8 ignore start */ sIn = Fr.n8; } else { throw new Error("Invalid group"); } + /* c8 ignore stop */ const nPoints = buff.byteLength /sIn; const bits = log2(nPoints); @@ -474,6 +519,8 @@ export default function buildFFT(curve, groupName) { if (bits <= Fr.s) { return await G.ifft(buff, inType, outType, logger, loggerTxt); } + // coverage: requires a 2^(s+1)-point domain (>= 16 GiB for bn128); only full-size ceremonies reach this + /* c8 ignore start */ if (bits > Fr.s+1) { if (logger) logger.error("lagrangeEvaluations input too big"); @@ -507,6 +554,7 @@ export default function buildFFT(curve, groupName) { buffOut.set(t1, t0.byteLength); return buffOut; + /* c8 ignore stop */ }; G.fftMix = async function fftMix(buff) { @@ -518,12 +566,15 @@ export default function buildFFT(curve, groupName) { } else if (groupName == "G2") { fnName = "g2m_fftMix"; fnFFTJoin = "g2m_fftJoin"; + // coverage: dead code: unreachable by construction + /* c8 ignore start */ } else if (groupName == "Fr") { fnName = "frm_fftMix"; fnFFTJoin = "frm_fftJoin"; } else { throw new Error("Invalid group"); } + /* c8 ignore stop */ const nPoints = Math.floor(buff.byteLength / sG); const power = log2(nPoints); @@ -550,7 +601,7 @@ export default function buildFFT(curve, groupName) { } task.push({cmd: "GET", out: 0, var: 0, len: pointsPerChunk*sG}); opPromises.push( - tm.queueAction(task) + tm.queueAction(task, [b.buffer]) ); } @@ -585,7 +636,7 @@ export default function buildFFT(curve, groupName) { ]}); task.push({cmd: "GET", out: 0, var: 0, len: pointsPerChunk*sG}); task.push({cmd: "GET", out: 1, var: 1, len: pointsPerChunk*sG}); - opPromises.push(tm.queueAction(task)); + opPromises.push(tm.queueAction(task, [chunks[o1].buffer, chunks[o2].buffer, first.buffer])); } } @@ -603,7 +654,10 @@ export default function buildFFT(curve, groupName) { let fullBuffOut; if (buff instanceof BigBuffer) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ fullBuffOut = new BigBuffer(nPoints*sG); + /* c8 ignore stop */ } else { fullBuffOut = new Uint8Array(nPoints*sG); } @@ -623,11 +677,14 @@ export default function buildFFT(curve, groupName) { fnName = "g1m_fftJoin"; } else if (groupName == "G2") { fnName = "g2m_fftJoin"; + // coverage: dead code: unreachable by construction + /* c8 ignore start */ } else if (groupName == "Fr") { fnName = "frm_fftJoin"; } else { throw new Error("Invalid group"); } + /* c8 ignore stop */ if (buff1.byteLength != buff2.byteLength) { throw new Error("Invalid buffer size"); @@ -664,7 +721,7 @@ export default function buildFFT(curve, groupName) { task.push({cmd: "GET", out: 0, var: 0, len: pointsPerChunk*sG}); task.push({cmd: "GET", out: 1, var: 1, len: pointsPerChunk*sG}); opPromises.push( - tm.queueAction(task) + tm.queueAction(task, [b1.buffer, b2.buffer, firstChunk.buffer]) ); } @@ -675,8 +732,11 @@ export default function buildFFT(curve, groupName) { let fullBuffOut1; let fullBuffOut2; if (buff1 instanceof BigBuffer) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ fullBuffOut1 = new BigBuffer(nPoints*sG); fullBuffOut2 = new BigBuffer(nPoints*sG); + /* c8 ignore stop */ } else { fullBuffOut1 = new Uint8Array(nPoints*sG); fullBuffOut2 = new Uint8Array(nPoints*sG); @@ -704,9 +764,12 @@ export default function buildFFT(curve, groupName) { } else if (groupName == "G2") { fnName = "g2m_fftFinal"; fnToAffine = "g2m_batchToAffine"; + // coverage: defensive guard against states the callers cannot produce + /* c8 ignore start */ } else { throw new Error("Invalid group"); } + /* c8 ignore stop */ const nPoints = Math.floor(buff.byteLength / sG); if (nPoints != 1 << log2(nPoints)) { @@ -740,7 +803,7 @@ export default function buildFFT(curve, groupName) { ]}); task.push({cmd: "GET", out: 0, var: 0, len: n*sGout}); opPromises.push( - tm.queueAction(task) + tm.queueAction(task, [b.buffer]) ); } @@ -749,7 +812,10 @@ export default function buildFFT(curve, groupName) { let fullBuffOut; if (buff instanceof BigBuffer) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ fullBuffOut = new BigBuffer(nPoints*sGout); + /* c8 ignore stop */ } else { fullBuffOut = new Uint8Array(nPoints*sGout); } diff --git a/src/engine_multiexp.js b/src/engine_multiexp.js index 38d813f..daa94ce 100644 --- a/src/engine_multiexp.js +++ b/src/engine_multiexp.js @@ -10,146 +10,208 @@ const pTSizes = [ export default function buildMultiexp(curve, groupName) { const G = curve[groupName]; const tm = G.tm; - async function _multiExpChunk(buffBases, buffScalars, inType, logger, logText) { - if ( ! (buffBases instanceof Uint8Array) ) { - if (logger) logger.error(`${logText} _multiExpChunk buffBases is not Uint8Array`); - throw new Error(`${logText} _multiExpChunk buffBases is not Uint8Array`); - } - if ( ! (buffScalars instanceof Uint8Array) ) { - if (logger) logger.error(`${logText} _multiExpChunk buffScalars is not Uint8Array`); - throw new Error(`${logText} _multiExpChunk buffScalars is not Uint8Array`); - } - inType = inType || "affine"; - - let sGIn; - let fnName; - if (groupName == "G1") { - if (inType == "affine") { - fnName = "g1m_multiexpAffine_chunk"; - sGIn = G.F.n8*2; - } else { - fnName = "g1m_multiexp_chunk"; - sGIn = G.F.n8*3; - } - } else if (groupName == "G2") { - if (inType == "affine") { - fnName = "g2m_multiexpAffine_chunk"; - sGIn = G.F.n8*2; - } else { - fnName = "g2m_multiexp_chunk"; - sGIn = G.F.n8*3; - } - } else { - throw new Error("Invalid group"); - } - const nPoints = Math.floor(buffBases.byteLength / sGIn); - if (nPoints == 0) return G.zero; - const sScalar = Math.floor(buffScalars.byteLength / nPoints); - if( sScalar * nPoints != buffScalars.byteLength) { - throw new Error("Scalar size does not match"); - } + const MAX_CHUNK_SIZE = 1 << 22; + const MIN_CHUNK_SIZE = 1 << 12; - const bitChunkSize = pTSizes[log2(nPoints)]; - const nChunks = Math.floor((sScalar*8 - 1) / bitChunkSize) +1; - - const opPromises = []; - for (let i=0; i=0; i--) { - if (!G.isZero(res)) { - for (let j=0; j= 1; k--) { + if (buffScalars[o + k] !== 0) { top = k; break; } } - res = G.add(res, result[i][0]); + if (top === 0 && buffScalars[o] <= 1) trivial++; } - - return res; + return trivial / nSamples; } - async function _multiExp(buffBases, buffScalars, inType, logger, logText) { - const MAX_CHUNK_SIZE = 1 << 22; - const MIN_CHUNK_SIZE = 1 << 10; - let sGIn; - - if (groupName == "G1") { - if (inType == "affine") { - sGIn = G.F.n8*2; - } else { - sGIn = G.F.n8*3; - } - } else if (groupName == "G2") { - if (inType == "affine") { - sGIn = G.F.n8*2; - } else { - sGIn = G.F.n8*3; - } - } else { - throw new Error("Invalid group"); + // WASM export name for this group + input representation. Affine input + // routes to the batch-affine MSM module ("...Batch") depending on the + // batching mode; the worker falls back to the plain in-module variant + // when the batch module is absent. In "auto", the batch module is used + // when the bases fit the per-worker cache budget OR the scalars sample + // as mostly trivial (the partition shrinks the cache-relevant set). + function fnNameFor(inType, basesBytes, batchMode, endoMode, scalarsChunk, nPoints, sScalar) { + const g = groupName === "G1" ? "g1m" : "g2m"; + if (inType !== "affine") return `${g}_multiexp`; + let useBatch = batchMode === "enabled" || + (batchMode === "auto" && basesBytes <= AUTO_BATCH_MAX_BASES_BYTES); + if (!useBatch && batchMode === "auto" && scalarsChunk) { + useBatch = trivialFraction(scalarsChunk, nPoints, sScalar) >= 0.5; } + if (!useBatch) return `${g}_multiexpAffine`; + const noEndo = endoMode === "disabled" ? (groupName === "G1" ? "NoGlv" : "NoGls") : ""; + return `${g}_multiexpAffineBatch${noEndo}`; + } + + // Points per chunk. nChunks is derived from the scalar bit-width and rounded up + // to a multiple of the worker count for even load balancing (G2 points are + // larger, so we halve the chunk / double the count). Clamped to a sane range. + function chunkSizeFor(nPoints, sScalar) { + const bitChunkSize = pTSizes[log2(nPoints)]; + let nChunks = Math.floor((sScalar*8 - 1) / bitChunkSize) + 1; + if (groupName === "G2") nChunks *= 2; + nChunks = (Math.floor((nChunks-1) / tm.concurrency) + 1) * tm.concurrency; + let chunkSize = Math.floor(nPoints / nChunks) + 1; + if (chunkSize > MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; + if (chunkSize < MIN_CHUNK_SIZE) chunkSize = MIN_CHUNK_SIZE; + return chunkSize; + } + // Run the multiexp of one chunk on a worker; returns the partial point. + async function _multiExpChunk(buffBases, buffScalars, inType, batchMode, endoMode, logText) { + if (!(buffBases instanceof Uint8Array)) throw new Error(`${logText} _multiExpChunk buffBases is not Uint8Array`); + if (!(buffScalars instanceof Uint8Array)) throw new Error(`${logText} _multiExpChunk buffScalars is not Uint8Array`); + const sGIn = pointSize(inType); const nPoints = Math.floor(buffBases.byteLength / sGIn); - if (nPoints == 0) return G.zero; + if (nPoints === 0) return G.zero; const sScalar = Math.floor(buffScalars.byteLength / nPoints); - if( sScalar * nPoints != buffScalars.byteLength) { - throw new Error("Scalar size does not match"); - } + if (sScalar * nPoints !== buffScalars.byteLength) throw new Error(`${logText} Scalar size does not match`); + + const task = [ + {cmd: "ALLOCSET", var: 0, buff: buffBases}, + {cmd: "ALLOCSET", var: 1, buff: buffScalars}, + {cmd: "ALLOC", var: 2, len: G.F.n8*3}, + {cmd: "CALL", fnName: fnNameFor(inType, buffBases.byteLength, batchMode, endoMode, buffScalars, nPoints, sScalar), params: [ + {var: 0}, {var: 1}, {val: sScalar}, {val: nPoints}, {var: 2} + ]}, + {cmd: "GET", out: 0, var: 2, len: G.F.n8*3}, + ]; + // transfer the chunk buffers to the worker (zero-copy); one GET -> one point + const out = await tm.queueAction(task, [buffBases.buffer, buffScalars.buffer]); + return out[0]; + } - const bitChunkSize = pTSizes[log2(nPoints)]; - const nChunks = Math.floor((sScalar*8 - 1) / bitChunkSize) +1; - - let chunkSize; - chunkSize = Math.floor(nPoints / (tm.concurrency /nChunks)); - if (chunkSize>MAX_CHUNK_SIZE) chunkSize = MAX_CHUNK_SIZE; - if (chunkSize { - if (logger) logger.debug(`Multiexp end: ${logText}: ${i}/${nPoints}`); - return r; - })); - } + // Shared driver. `getChunk(byteOffset, byteLength)` supplies each bases chunk -- + // a synchronous slice of an in-memory buffer, or an async sub-range read. At most + // `maxInFlight` chunks are sourced at once (Infinity = dispatch them all). The + // point set is partitioned across chunks, so the full multiexp is the sum of the + // per-chunk multiexps. + async function _multiExpDispatch(getChunk, buffScalars, nPoints, sGIn, sScalar, inType, maxInFlight, batchMode, endoMode, logger, logText) { + if (nPoints === 0) return G.zero; + const chunkSize = chunkSizeFor(nPoints, sScalar); + const inFlight = new Set(); + const partials = []; + + try { + for (let off = 0; off < nPoints; off += chunkSize) { + const n = Math.min(nPoints - off, chunkSize); + const at = off; + // Backpressure: block until a slot frees (Promise.race also surfaces a + // failed chunk promptly). With maxInFlight = Infinity this never blocks. + while (inFlight.size >= maxInFlight) await Promise.race(inFlight); + if (logger) logger.debug(`Multiexp start: ${logText}: ${at}/${nPoints}`); + const op = (async () => { + const basesChunk = await getChunk(at*sGIn, n*sGIn); + const scalarsChunk = buffScalars.slice(at*sScalar, (at+n)*sScalar); + const r = await _multiExpChunk(basesChunk, scalarsChunk, inType, batchMode, endoMode, logText); + if (logger) logger.debug(`Multiexp end: ${logText}: ${at}/${nPoints}`); + return r; + })(); + // settle-either-way cleanup so a rejected chunk can't wedge the set + const slot = op.finally(() => inFlight.delete(slot)); + inFlight.add(slot); + partials.push(slot); + } - const result = await Promise.all(opPromises); + const result = await Promise.all(partials); + let res = G.zero; + for (let i = result.length-1; i >= 0; i--) res = G.add(res, result[i]); + return res; + } catch (err) { + // A chunk failed (bad read, worker error, ...). Other chunks + // dispatched earlier may still be running against workers; drain + // them here so every promise has a handler attached before we + // return control to the caller. Without this, a caller that + // reacts to the rejection by tearing down workers (e.g. + // ThreadManager.terminate()) can abort an still-in-flight chunk; + // its worker-error rejection would then have no listener and + // crash the process as an unhandled rejection. + await Promise.allSettled(partials); + throw err; + } + } - let res = G.zero; - for (let i=result.length-1; i>=0; i--) { - res = G.add(res, result[i]); + // Derive nPoints/sScalar and validate before dispatching. + function geometry(totalBasesBytes, buffScalars, inType) { + const sGIn = pointSize(inType); + const nPoints = Math.floor(totalBasesBytes / sGIn); + let sScalar = 0; + if (nPoints > 0) { + sScalar = Math.floor(buffScalars.byteLength / nPoints); + if (sScalar * nPoints !== buffScalars.byteLength) throw new Error("Scalar size does not match"); } + return { sGIn, nPoints, sScalar }; + } - return res; + // multiexp over an in-memory bases buffer (sliced per chunk, all dispatched at once). + async function _multiExp(buffBases, buffScalars, inType, batchMode, endoMode, logger, logText) { + const { sGIn, nPoints, sScalar } = geometry(buffBases.byteLength, buffScalars, inType); + const getChunk = (off, len) => buffBases.slice(off, off + len); + return _multiExpDispatch(getChunk, buffScalars, nPoints, sGIn, sScalar, inType, Infinity, batchMode, endoMode, logger, logText); } - G.multiExp = async function multiExpAffine(buffBases, buffScalars, logger, logText) { - return await _multiExp(buffBases, buffScalars, "jacobian", logger, logText); + G.multiExp = async function multiExp(buffBases, buffScalars, logger, logText) { + return _multiExp(buffBases, buffScalars, "jacobian", "disabled", "auto", logger, logText); + }; + // options.batch: "auto" (default) | "enabled" | "disabled" -- see batchModeOf. + // options.glv / options.gls: "auto" (default) | "disabled" -- see endoOf. + G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars, logger, logText, options) { + return _multiExp(buffBases, buffScalars, "affine", batchModeOf(options), endoOf(options), logger, logText); }; - G.multiExpAffine = async function multiExpAffine(buffBases, buffScalars, logger, logText) { - return await _multiExp(buffBases, buffScalars, "affine", logger, logText); + + // Streaming affine multiexp: bases are produced chunk-by-chunk by `basesReader` + // (e.g. a direct sub-range file read) instead of being read whole and sliced -- + // no main-thread slice copy, and the full section never sits in RAM (reads are + // bounded to a few in-flight chunks). Result is identical to multiExpAffine. + G.multiExpAffineChunked = async function multiExpAffineChunked(basesReader, totalBasesBytes, buffScalars, logger, logText, options) { + if (typeof basesReader !== "function") { + throw new Error(`${logText || "multiExpAffineChunked"}: basesReader must be a function (byteOffset, byteLength) => Promise`); + } + const { sGIn, nPoints, sScalar } = geometry(totalBasesBytes, buffScalars, "affine"); + return _multiExpDispatch(basesReader, buffScalars, nPoints, sGIn, sScalar, "affine", tm.concurrency + 2, batchModeOf(options), endoOf(options), logger, logText); }; } diff --git a/src/engine_pairing.js b/src/engine_pairing.js index 5a802ce..a6dc6de 100644 --- a/src/engine_pairing.js +++ b/src/engine_pairing.js @@ -3,16 +3,22 @@ export default function buildPairing(curve) { const tm = curve.tm; curve.pairing = function pairing(a, b) { + // try/finally on every sync-op region: startSyncOp() throws if one + // is already open, so a mid-region throw (bad point encoding, wasm + // trap) that skips endSyncOp() would otherwise wedge the + // ThreadManager -- every later pairing/prepare/millerLoop call fails + // with "Sync operation in progress" for the life of the curve. tm.startSyncOp(); - const pA = tm.allocBuff(curve.G1.toJacobian(a)); - const pB = tm.allocBuff(curve.G2.toJacobian(b)); - const pRes = tm.alloc(curve.Gt.n8); - tm.instance.exports[curve.name + "_pairing"](pA, pB, pRes); - - const res = tm.getBuff(pRes, curve.Gt.n8); - - tm.endSyncOp(); - return res; + try { + const pA = tm.allocBuff(curve.G1.toJacobian(a)); + const pB = tm.allocBuff(curve.G2.toJacobian(b)); + const pRes = tm.alloc(curve.Gt.n8); + tm.instance.exports[curve.name + "_pairing"](pA, pB, pRes); + + return tm.getBuff(pRes, curve.Gt.n8); + } finally { + tm.endSyncOp(); + } }; curve.pairingEq = async function pairingEq() { @@ -59,6 +65,11 @@ export default function buildPairing(curve) { task.push({cmd: "GET", out: 0, var: 4, len: curve.Gt.n8}); + // Do NOT transfer g1Buff/g2Buff: toJacobian() returns its argument + // unchanged when the point is already in jacobian form, so these may + // alias caller-owned buffers (e.g. curve.G1.g / curve.G2.g). + // Transferring would detach them on the main thread. They are single + // points, so the structured-clone copy is negligible. opPromises.push( tm.queueAction(task) ); @@ -68,63 +79,71 @@ export default function buildPairing(curve) { const result = await Promise.all(opPromises); tm.startSyncOp(); - const pRes = tm.alloc(curve.Gt.n8); - tm.instance.exports.ftm_one(pRes); - - for (let i=0; i=0; i--) { diff --git a/src/polfield.js b/src/polfield.js index 467645f..aaefe74 100644 --- a/src/polfield.js +++ b/src/polfield.js @@ -47,7 +47,7 @@ export default class PolField { this.roots = []; -/* for (let i=0; i<16; i++) { + /* for (let i=0; i<16; i++) { let r = this.F.one; n = 1 << i; const rootsi = new Array(n); @@ -297,6 +297,8 @@ export default class PolField { } _fft(pall, bits, offset, step) { + // coverage: legacy pure-JS algorithm interior kept for reference + /* c8 ignore start */ const n = 1 << bits; if (n==1) { @@ -318,6 +320,7 @@ export default class PolField { return out; } + /* c8 ignore stop */ extend(p, e) { if (e == p.length) return p; @@ -475,8 +478,11 @@ export default class PolField { throw new Error("Given 'i' should be lower than 'n'"); } else if (1<0) { if (r & 1 == 1) { @@ -501,6 +507,8 @@ export default class PolField { const omega = this.w[bits]; if (this.F.eq(tm, this.F.one)) { + // coverage: legacy pure-JS algorithm interior kept for reference + /* c8 ignore start */ for (let i = 0; i < m; i++) { if (this.F.eq(this.roots[bits][0],t)) { // i.e., t equals omega^i u[i] = this.F.one; @@ -508,6 +516,7 @@ export default class PolField { } } } + /* c8 ignore stop */ const z = this.F.sub(tm, this.F.one); // let l = this.F.mul(z, this.F.pow(this.F.twoinv, m)); @@ -521,8 +530,11 @@ export default class PolField { } log2(V) { + // coverage: legacy pure-JS algorithm interior kept for reference + /* c8 ignore start */ return log2(V); } + /* c8 ignore stop */ } function log2( V ) @@ -535,7 +547,10 @@ function __fft(PF, pall, bits, offset, step) { const n = 1 << bits; if (n==1) { + // coverage: legacy pure-JS algorithm interior kept for reference + /* c8 ignore start */ return [ pall[offset] ]; + /* c8 ignore stop */ } else if (n==2) { return [ PF.F.add(pall[offset], pall[offset + step]), diff --git a/src/random.js b/src/random.js index 4637b61..f63ebba 100644 --- a/src/random.js +++ b/src/random.js @@ -3,17 +3,19 @@ import crypto from "crypto"; export function getRandomBytes(n) { let array = new Uint8Array(n); - if (process.browser) { // Browser - if (typeof globalThis.crypto !== "undefined") { // Supported - globalThis.crypto.getRandomValues(array); - } else { // fallback - for (let i=0; i>>0; - } - } - } - else { // NodeJS + // Feature-detect rather than rely on `process.browser` (undefined under + // Vite/esbuild/SES -> ReferenceError). Prefer Node crypto (no per-call size + // limit); fall back to Web Crypto chunked to its 65536-byte cap. + if (crypto && crypto.randomFillSync) { // Node crypto.randomFillSync(array); + } else if (typeof globalThis.crypto !== "undefined" && globalThis.crypto.getRandomValues) { + for (let i = 0; i < n; i += 65536) { + globalThis.crypto.getRandomValues(array.subarray(i, Math.min(i + 65536, n))); + } + } else { // insecure last resort + for (let i=0; i>>0; + } } return array; } diff --git a/src/scalar.js b/src/scalar.js index 8f3a3c3..f07bf83 100644 --- a/src/scalar.js +++ b/src/scalar.js @@ -1,5 +1,4 @@ -/* global BigInt */ const hexLen = [ 0, 1, 2, 2, 3, 3, 3, 3, 4 ,4 ,4 ,4 ,4 ,4 ,4 ,4]; export function fromString(s, radix) { diff --git a/src/threadman.js b/src/threadman.js index f80901b..95a4bf6 100644 --- a/src/threadman.js +++ b/src/threadman.js @@ -20,11 +20,26 @@ // const MEM_SIZE = 1000; // Memory size in 64K Pakes (512Mb) const MEM_SIZE = 25; // Memory size in 64K Pakes (1600Kb) +// Give-up threshold for workers that die while booting. All workers run the +// same code, so a boot failure is almost always deterministic (bad wasm, a +// restricted realm, hostile execArgv inherited by the worker); without a cap +// the error handler's slot-release + processWorks respawn cycle spins forever +// at full CPU (~hundreds of workers/second) while every caller hangs. +// Consecutive failures are counted across the pool (a burst of N parallel +// spawns failing is N counts) and reset by any successful INIT, so one full +// spawn round over-threshold is enough to trip it -- transient single-worker +// failures with healthy siblings never accumulate. +const MAX_CONSECUTIVE_BOOT_FAILURES = 8; + import thread from "./threadman_thread.js"; import os from "os"; import Worker from "web-worker"; +// Robust Node detection that never throws (unlike `process.browser`, which is a +// webpack-ism and is undefined under Vite/esbuild/SES). +const isNode = typeof process !== "undefined" && process.versions != null && process.versions.node != null; + class Deferred { constructor() { this.promise = new Promise((resolve, reject)=> { @@ -34,23 +49,59 @@ class Deferred { } } -function sleep(ms) { - return new Promise(resolve => setTimeout(resolve, ms)); +// WorkerSlot holds the native Worker and all per-worker state. +// Each call to startWorker() creates a fresh WorkerSlot instance. +// Message handlers close over the slot reference so that stale messages +// from a replaced worker are detected by a simple identity check +// (tm.pool[i] !== slot). +// Release the parent event loop's reference on a worker we have already told +// to die. worker_threads' terminate() is asynchronous, and a thread that +// fails to wind down (seen rarely on macOS CI: the process then never exits, +// hanging the prover -- or a vitest fork -- forever) would otherwise keep the +// process alive. Browser Workers have no unref and never hold a page open; +// the node web-worker wrapper hides the native thread behind a private +// symbol, so reach through it when the wrapper itself has no unref. +function unrefWorker(worker) { + /* c8 ignore next */ + if (typeof worker.unref === "function") { worker.unref(); return; } + for (const sym of Object.getOwnPropertySymbols(worker)) { + const native = worker[sym]; + if (native && typeof native.unref === "function") { native.unref(); return; } + } } -let workerSource; +class WorkerSlot { + constructor(worker) { + this.worker = worker; // native Worker thread + this.initialized = false; + this.initializing= false; + this.working = false; + this.pendingDeferred = null; + this.onMsg = null; // stored so removeEventListener can be called on termination + this.onError = null; + } +} -const threadStr = `(${thread.toString()})(self)`; -if(process.browser) { - if(globalThis?.Blob) { - const threadBytes= new TextEncoder().encode(threadStr); - const workerBlob = new Blob([threadBytes], { type: "application/javascript" }) ; +// Computed lazily on first worker creation, NOT at module load: a SES +// hardened realm (which runs single-threaded) has no Blob/btoa/URL.createObjectURL, and +// touching them at import time would throw before a curve could even be built. +let workerSource; +function getWorkerSource() { + if (workerSource !== undefined) return workerSource; + const threadStr = `(${thread.toString()})(self)`; + if (isNode) { + workerSource = "data:application/javascript;base64," + Buffer.from(threadStr).toString("base64"); + } else if (globalThis?.Blob && globalThis.URL && globalThis.URL.createObjectURL) { + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ + const threadBytes = new TextEncoder().encode(threadStr); + const workerBlob = new Blob([threadBytes], { type: "application/javascript" }); workerSource = URL.createObjectURL(workerBlob); } else { workerSource = "data:application/javascript;base64," + globalThis.btoa(threadStr); } -} else { - workerSource = "data:application/javascript;base64," + Buffer.from(threadStr).toString("base64"); + /* c8 ignore stop */ + return workerSource; } @@ -69,11 +120,19 @@ export default async function buildThreadManager(wasm, singleThread) { "memory": tm.memory } }); - - if(process.browser && !globalThis?.Worker) { + + // Force single-thread when no Worker is available. Covers SES hardened realms + // (no Worker, frozen globals) and old/limited browsers, regardless of what + // the caller requested -- the worker path (and getWorkerSource's + // Blob/btoa) would otherwise fail. Node uses the web-worker import, so it + // keeps multi-threading. + if(!isNode && !globalThis?.Worker) { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ singleThread = true; } - + /* c8 ignore stop */ + tm.singleThread = singleThread; tm.initalPFree = tm.u32[0]; // Save the Pointer to free space. tm.pq = wasm.pq; @@ -84,139 +143,418 @@ export default async function buildThreadManager(wasm, singleThread) { tm.pG2zero = wasm.pG2zero; tm.pOneT = wasm.pOneT; - // tm.pTmp0 = tm.alloc(curve.G2.F.n8*3); - // tm.pTmp1 = tm.alloc(curve.G2.F.n8*3); + tm.code = wasm.code; + tm.wasmModule = wasmModule; + // Batch-affine MSM helper module (optional): compiled once, shipped to every + // worker alongside the main module. n8f = base-field element size in bytes. + tm.batchCode = wasm.batchCode; + tm.batchWasmModule = wasm.batchCode ? await WebAssembly.compile(wasm.batchCode) : undefined; + tm.n8f = wasm.n8q; + tm.glv = !!wasm.glv; if (singleThread) { - tm.code = wasm.code; tm.taskManager = thread(); await tm.taskManager([{ cmd: "INIT", init: MEM_SIZE, - code: tm.code.slice() + code: tm.code.slice(), + batchCode: tm.batchCode ? tm.batchCode.slice() : undefined, + n8f: tm.n8f, + glv: tm.glv }]); tm.concurrency = 1; } else { - tm.workers = []; - tm.pendingDeferreds = []; - tm.working = []; + // pool[i] is the active WorkerSlot at slot i, or null if the slot is empty. + tm.pool = []; let concurrency = 2; - if (process.browser) { - if (typeof navigator === "object" && navigator.hardwareConcurrency) { - concurrency = navigator.hardwareConcurrency; - } - } else { + if (typeof navigator === "object" && navigator.hardwareConcurrency) { + concurrency = navigator.hardwareConcurrency; + } else if (os && os.cpus) { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ concurrency = os.cpus().length; } - if(concurrency == 0){ + if(concurrency === 0){ concurrency = 2; } + /* c8 ignore stop */ // Limit to 64 threads for memory reasons. if (concurrency>64) concurrency=64; tm.concurrency = concurrency; + } + return tm; +} - for (let i = 0; i s); + const anyInitialized = this.pool.some((s) => s && s.initialized); + if (!anyAlive || (this.bootBroken && !anyInitialized)) { + const cause = this.bootBroken || err; + const queued = this.actionQueue.splice(0, this.actionQueue.length); + for (const work of queued) { + work.deferred.reject(new Error("Worker initialization failed: " + cause.message)); + } } + } - const initPromises = []; - for (let i=0; i {}); } - - tm.working[i]=false; - tm.pendingDeferreds[i].resolve(data); - tm.processWorks(); }; } -} + startWorker(slotIndex) { + const nativeWorker = new Worker(getWorkerSource()); + const slot = new WorkerSlot(nativeWorker); + this.pool[slotIndex] = slot; -export class ThreadManager { - constructor() { - this.actionQueue = []; - this.oldPFree = 0; + slot.onMsg = this._makeOnMsg(slotIndex, slot); + slot.onError = this._makeOnError(slotIndex, slot); + nativeWorker.addEventListener("message", slot.onMsg); + nativeWorker.addEventListener("error", slot.onError); + + slot.initializing = true; + + // postAction sets slot.working = true synchronously before any await, + // so processWorks will not attempt to start this slot again. + const tm = this; + this.postAction(slotIndex, [{ + cmd: "INIT", + init: MEM_SIZE, + code: this.wasmModule, + batchCode: this.batchWasmModule, + n8f: this.n8f, + glv: this.glv, + }]).then(() => { + slot.initialized = true; + tm.bootFailures = 0; + }, (err) => { + // INIT failed (bad wasm, instantiate error, worker crash on + // boot). No queueAction caller is watching this internal + // deferred, so the failure must be surfaced here: release the + // slot, count the failure, and reject everything still queued + // once nothing can serve it -- those tasks would otherwise wait + // forever for a worker that will never exist. The failure count + // is what breaks the melt cycle: the 'error'-event handler + // releases the slot and processWorks respawns for the queued + // tasks, so a deterministic boot failure (all workers run the + // same code) would otherwise spawn/fail forever at full CPU + // while `pool.some(s => s)` stays true through the churn. + if (tm.pool[slotIndex] === slot) { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ + tm.pool[slotIndex] = null; + slot.worker.removeEventListener("message", slot.onMsg); + slot.worker.removeEventListener("error", slot.onError); + } + /* c8 ignore stop */ + slot.initializing = false; + slot.working = false; + tm.bootFailures++; + if (tm.bootFailures >= MAX_CONSECUTIVE_BOOT_FAILURES && !tm.bootBroken) { + tm.bootBroken = err; + } + tm._failQueueIfUnservable(err); + }); } startSyncOp() { - if (this.oldPFree != 0) throw new Error("Sync operation in progress"); + if (this.oldPFree !== 0) throw new Error("Sync operation in progress"); this.oldPFree = this.u32[0]; } endSyncOp() { - if (this.oldPFree == 0) throw new Error("No sync operation in progress"); + if (this.oldPFree === 0) throw new Error("No sync operation in progress"); this.u32[0] = this.oldPFree; this.oldPFree = 0; } - postAction(workerId, e, transfers, _deferred) { - if (this.working[workerId]) { - throw new Error("Posting a job t a working worker"); + async postAction(slotIndex, e, transfers, _deferred) { + const slot = this.pool[slotIndex]; + if (!slot || slot.working) { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ + // Defensive: should be unreachable (processWorks checks + // !slot.working in the same synchronous span). If it ever fires + // with a caller-supplied deferred, reject it -- processWorks + // swallows this throw, and an unsettled work.deferred would hang + // its queueAction caller forever. + const err = new Error("Posting a job to a working worker"); + if (_deferred) _deferred.reject(err); + throw err; } - this.working[workerId] = true; - - this.pendingDeferreds[workerId] = _deferred ? _deferred : new Deferred(); - this.workers[workerId].postMessage(e, transfers); - - return this.pendingDeferreds[workerId].promise; + /* c8 ignore stop */ + slot.working = true; + slot.pendingDeferred = _deferred ? _deferred : new Deferred(); + // postMessage's behavior for an already-detached transfer buffer is + // version-dependent: newer Node throws a DataCloneError (handled in + // the catch below), but Node 20 posts silently and the task would + // hang forever. Detect detachment portably before dispatch: a + // detached ArrayBuffer reports byteLength 0 and constructing any + // view over it throws on every runtime. + if (transfers) { + for (const t of transfers) { + if (t instanceof ArrayBuffer && t.byteLength === 0) { + let detached = false; + try { new Uint8Array(t, 0, 0); } catch (err) { detached = true; } + if (detached) { + slot.working = false; + slot.pendingDeferred.reject(new Error("Task transfer list contains a detached ArrayBuffer")); + return slot.pendingDeferred.promise; + } + } + } + } + try { + await slot.worker.postMessage(e, transfers); + } catch (err) { + // postMessage itself failed (e.g. a transfer-list buffer already + // detached by an earlier dispatch). The worker never saw the + // task, so no message will ever come back: settle the deferred + // here and free the slot, or the caller waits forever and the + // slot stays wedged as "working". + slot.working = false; + slot.pendingDeferred.reject(err); + } + return slot.pendingDeferred.promise; } - processWorks() { - for (let i=0; (i 0); i++) { - if (this.working[i] == false) { + async processWorks() { + // Dispatch queued tasks to ready workers. + for (let i = 0; i < this.concurrency && this.actionQueue.length > 0; i++) { + const slot = this.pool[i]; + if (slot && slot.initialized && !slot.working) { const work = this.actionQueue.shift(); - this.postAction(i, work.data, work.transfers, work.deferred); + // postAction's returned promise follows the task's own + // completion (slot.pendingDeferred.promise), not just + // dispatch. work.deferred is that same promise object, and + // its original queueAction() caller holds their own + // reference to it -- catching the task's eventual rejection + // here (a fire-and-forget call site with no caller of its + // own to propagate to) does not suppress it for them. + // Without this, a task failing while processWorks() runs + // from an event-listener callback (not from queueAction's + // own call stack) would surface as an unhandled rejection. + await this.postAction(i, work.data, work.transfers, work.deferred).catch(() => {}); + } + } + + // Start new workers for slots that need them. + if (this.actionQueue.length > 0) { + if (this.bootBroken) { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ + // Worker boot is latched broken: never spawn again. If no + // initialized worker survives to drain the queue (e.g. the + // last one idle-terminated), fail the queued tasks now. + this._failQueueIfUnservable(this.bootBroken); + return; + } + /* c8 ignore stop */ + let initializingCount = 0; + for (let i = 0; i < this.concurrency; i++) { + const slot = this.pool[i]; + if (slot) { + if (slot.initializing) initializingCount++; + // slot exists: skip whether initialized, initializing, or working + continue; + } + // slot is null: this slot is available to host a new worker + if (initializingCount >= this.actionQueue.length) break; + initializingCount++; + this.startWorker(i); } } } - queueAction(actionData, transfers) { + async queueAction(actionData, transfers) { const d = new Deferred(); if (this.singleThread) { const res = this.taskManager(actionData); d.resolve(res); } else { - this.actionQueue.push({ - data: actionData, + const work = { + data: actionData, transfers: transfers, - deferred: d - }); - this.processWorks(); + deferred: d + }; + this.actionQueue.push(work); + try { + await this.processWorks(); + } catch (err) { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ + // processWorks can throw synchronously (e.g. the Worker + // constructor in startWorker on a restricted realm). Settle + // this caller's deferred and remove the queued entry -- + // otherwise d.promise (returned below on the success path, + // and possibly already held by racing callers) never settles. + const idx = this.actionQueue.indexOf(work); + if (idx >= 0) this.actionQueue.splice(idx, 1); + d.reject(err); + } + /* c8 ignore stop */ } return d.promise; } resetMemory() { + // coverage: worker lifecycle race/failure path; deterministic tests cannot schedule it + /* c8 ignore start */ this.u32[0] = this.initalPFree; } + /* c8 ignore stop */ allocBuff(buff) { const pointer = this.alloc(buff.byteLength); @@ -225,7 +563,7 @@ export class ThreadManager { } getBuff(pointer, length) { - return this.u8.slice(pointer, pointer+ length); + return this.u8.slice(pointer, pointer + length); } setBuff(pointer, buffer) { @@ -240,10 +578,21 @@ export class ThreadManager { } async terminate() { - for (let i=0; i (await WebAssembly.instantiate(batchModule, { + env: { "memory": memory }, + curve: { + f_mul: ex[f + "_mul"], f_square: ex[f + "_square"], f_add: ex[f + "_add"], + f_sub: ex[f + "_sub"], f_neg: ex[f + "_neg"], f_inverse: ex[f + "_inverse"], + f_isZero: ex[f + "_isZero"], f_conj: ex[conj], + g_add: ex[g + "_add"], g_addMixed: ex[g + "_addMixed"], + g_double: ex[g + "_double"], g_zero: ex[g + "_zero"], g_isZero: ex[g + "_isZero"], + }, + })).exports; + const n8f = data.n8f; + batchFns = {}; + if (ex.f1m_mul && ex.g1m_addMixed) { + // f_conj is only used by the G2 GLS path; wire a harmless copy for G1 + const b = await mkBatch("f1m", "g1m", "f1m_copy"); + // GLV path (bn254 G1 endomorphism) when the curve advertises it; + // the wasm falls back internally for unexpected sizes. + const useGlv = data.glv && b.multiexpAffineGLV; + const fn = useGlv ? b.multiexpAffineGLV : b.multiexpAffine; + batchFns["g1m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn(pB, pS, sS, n, pr, n8f); + // NoGlv variant, selectable per call ({glv: "disabled"} option) + batchFns["g1m_multiexpAffineBatchNoGlv"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f); + } + if (ex.f2m_mul && ex.g2m_addMixed) { + const b = await mkBatch("f2m", "g2m", "f2m_conjugate"); + // GLS (bn254 G2 endomorphism) when the curve advertises it; the + // wasm gates internally on chunk size and falls back to batch. + // The NoGls variant is selectable per call ({gls:false} option). + const useGls = data.glv && b.multiexpAffineGLS; + const fn2 = useGls ? b.multiexpAffineGLS : b.multiexpAffine; + batchFns["g2m_multiexpAffineBatch"] = (pB, pS, sS, n, pr) => fn2(pB, pS, sS, n, pr, n8f * 2); + batchFns["g2m_multiexpAffineBatchNoGls"] = (pB, pS, sS, n, pr) => b.multiexpAffine(pB, pS, sS, n, pr, n8f * 2); + } + } + + if (data.terminationTimeout) { + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ + terminationTimeout = data.terminationTimeout; + } + /* c8 ignore stop */ } + // Reverse the low `bits` of a 32-bit integer (O(1) bit-twiddle). + function rev32(x) { + x = ((x & 0x55555555) << 1) | ((x >>> 1) & 0x55555555); + x = ((x & 0x33333333) << 2) | ((x >>> 2) & 0x33333333); + x = ((x & 0x0f0f0f0f) << 4) | ((x >>> 4) & 0x0f0f0f0f); + x = ((x & 0x00ff00ff) << 8) | ((x >>> 8) & 0x00ff00ff); + x = (x << 16) | (x >>> 16); + return x >>> 0; + } + + // In-place bit-reversal permutation of fixed-size (sIn-byte) elements. + // Works for any element size, like the old pure-JS buffReverseBits. When + // the elements are 4-byte aligned it swaps Uint32Array lanes (no BigInt + // boxing, no allocation); otherwise it falls back to a byte-wise swap with + // a single reused temp buffer. Either way it touches no WASM linear memory. + function reverseInPlace(u8, sIn, bits) { + const n = u8.byteLength / sIn; + const shift = 32 - bits; + if (((sIn & 3) === 0) && ((u8.byteOffset & 3) === 0)) { + const lanes = sIn >>> 2; + const u32 = new Uint32Array(u8.buffer, u8.byteOffset, u8.byteLength >>> 2); + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + let a = i * lanes; + let b = ri * lanes; + for (let l = 0; l < lanes; l++) { + const t = u32[a + l]; + u32[a + l] = u32[b + l]; + u32[b + l] = t; + } + } + } + } else { + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ + const tmp = new Uint8Array(sIn); // one reused temp, not one per swap + for (let i = 0; i < n; i++) { + const ri = rev32(i) >>> shift; + if (i < ri) { + const ao = i * sIn; + const bo = ri * sIn; + tmp.set(u8.subarray(ao, ao + sIn)); + u8.copyWithin(ao, bo, bo + sIn); + u8.set(tmp, bo); + } + } + } + /* c8 ignore stop */ + } + function alloc(length) { const u32 = new Uint32Array(memory.buffer, 0, 1); while (u32[0] & 3) u32[0]++; // Return always aligned pointers const res = u32[0]; u32[0] += length; if (u32[0] + length > memory.buffer.byteLength) { + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ const currentPages = memory.buffer.byteLength / 0x10000; let requiredPages = Math.floor((u32[0] + length) / 0x10000)+1; if (requiredPages>MAXMEM) requiredPages=MAXMEM; memory.grow(requiredPages-currentPages); } + /* c8 ignore stop */ return res; } @@ -62,8 +217,7 @@ export default function thread(self) { } function getBuffer(pointer, length) { - const u8 = new Uint8Array(memory.buffer); - return new Uint8Array(u8.buffer, u8.byteOffset + pointer, length); + return new Uint8Array(memory.buffer, pointer, length); } function setBuffer(pointer, buffer) { @@ -72,7 +226,8 @@ export default function thread(self) { } function runTask(task) { - if (task[0].cmd == "INIT") { + clearTimeout(terminationTimer); + if (task[0].cmd === "INIT") { return init(task[0]); } const ctx = { @@ -83,6 +238,15 @@ export default function thread(self) { const oldAlloc = u32a[0]; for (let i=0; i plain + // in-module variant when the batch module is unavailable + // (same 5-arg signature) + if (!fn) { + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ + const base = fname.replace(/Batch(NoGls|NoGlv)?$/, ""); + fn = instance.exports[base]; + } + /* c8 ignore stop */ + } + fn(...params); + } break; } case "GET": ctx.out[task[i].out] = getBuffer(ctx.vars[task[i].var], task[i].len).slice(); break; default: + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ throw new Error("Invalid cmd"); + /* c8 ignore stop */ } } const u32b = new Uint32Array(memory.buffer, 0, 1); u32b[0] = oldAlloc; + return ctx.out; } + function scheduleTermination() { + // coverage: executes inside worker threads as a serialized copy; V8 coverage cannot attribute it to this file + /* c8 ignore start */ + clearTimeout(terminationTimer); + if (terminationTimeout > 0) { + terminationTimer = setTimeout(() => { + // 2-phase termination: notify main thread first; close only after + // it acks with TERMINATE. This prevents the race where the main + // thread dispatches a task to a worker that has already closed. + if (self) self.postMessage({status: "want_to_terminate"}); + }, terminationTimeout); + } + } + + function terminate() { + clearTimeout(terminationTimer); + if (self) { + self.postMessage({status: "terminated"}); + self.close(); + } + } + /* c8 ignore stop */ return runTask; } diff --git a/src/utils.js b/src/utils.js index f1eb893..873b712 100644 --- a/src/utils.js +++ b/src/utils.js @@ -1,4 +1,3 @@ -/* global BigInt */ import * as Scalar from "./scalar.js"; export function stringifyBigInts(o) { @@ -217,8 +216,11 @@ export function buffReverseBits(buff, eSize) { const n = buff.byteLength / eSize; const bits = log2(n); if (n != 1 << bits) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ throw new Error("Invalid number of pointers"); } + /* c8 ignore stop */ for (let i = 0; i < n; i++) { const r = bitReverse(i, bits); if (i > r) { diff --git a/src/wasm/base64.js b/src/wasm/base64.js new file mode 100644 index 0000000..0a3481f --- /dev/null +++ b/src/wasm/base64.js @@ -0,0 +1,49 @@ +// base64 -> Uint8Array, used once at curve load to decode the vendored wasm. +// +// Prefer the platform decoder (Buffer in Node, atob in browsers/extensions) for +// speed, and fall back to a pure-JS implementation only where neither exists -- +// e.g. a SES hardened realm that has not endowed atob/Buffer. The fallback keeps the +// curve loadable everywhere without depending on any host base64 primitive. + +const CHARS = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; +let LOOKUP; + +function decodePureJs(b64) { + if (!LOOKUP) { + LOOKUP = new Uint8Array(256); + for (let i = 0; i < CHARS.length; i++) LOOKUP[CHARS.charCodeAt(i)] = i; + } + const len = b64.length; + let pad = 0; + if (len > 0 && b64[len - 1] === "=") pad++; + if (len > 1 && b64[len - 2] === "=") pad++; + const outLen = ((len * 3) >> 2) - pad; + const out = new Uint8Array(outLen); + let o = 0; + for (let i = 0; i < len; i += 4) { + const a = LOOKUP[b64.charCodeAt(i)]; + const b = LOOKUP[b64.charCodeAt(i + 1)]; + const c = LOOKUP[b64.charCodeAt(i + 2)]; + const d = LOOKUP[b64.charCodeAt(i + 3)]; + if (o < outLen) out[o++] = (a << 2) | (b >> 4); + if (o < outLen) out[o++] = ((b & 15) << 4) | (c >> 2); + if (o < outLen) out[o++] = ((c & 3) << 6) | d; + } + return out; +} + +export function base64ToUint8Array(b64) { + if (typeof Buffer !== "undefined" && typeof Buffer.from === "function") { + // Node (and Node-compatible runtimes) — fastest. + return new Uint8Array(Buffer.from(b64, "base64")); + } + if (typeof atob === "function") { + // Browsers, extensions, modern Node, Deno. + const bin = atob(b64); + const out = new Uint8Array(bin.length); + for (let i = 0; i < bin.length; i++) out[i] = bin.charCodeAt(i); + return out; + } + // SES hardened realm or any host without a base64 primitive. + return decodePureJs(b64); +} diff --git a/src/wasm/bls12381_wasm.js b/src/wasm/bls12381_wasm.js new file mode 100644 index 0000000..67b2f37 --- /dev/null +++ b/src/wasm/bls12381_wasm.js @@ -0,0 +1,20 @@ +// AUTO-GENERATED from wasmcurves/build/bls12381_wasm.js — do not edit. +// Regenerate with: npm run gen-wasm +// 'code' is base64 of the wasm-opt -O2 optimized wasm; the rest are +// pointer offsets / field moduli. +export const code = "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+export const n8q = 48; +export const n8r = 32; +export const pG1b = 4776; +export const pG1gen = 42968; +export const pG1zero = 43112; +export const pG2b = 17272; +export const pG2gen = 43256; +export const pG2zero = 43544; +export const pOneT = 43832; +export const pq = 712; +export const pr = 3464; +export const prePSize = 288; +export const preQSize = 20448; +export const q = "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787"; +export const r = "52435875175126190479447740508185965837690552500527637822603658699938581184513"; diff --git a/src/wasm/bn128_wasm.js b/src/wasm/bn128_wasm.js new file mode 100644 index 0000000..2f2d488 --- /dev/null +++ b/src/wasm/bn128_wasm.js @@ -0,0 +1,20 @@ +// AUTO-GENERATED from wasmcurves/build/bn128_wasm.js — do not edit. +// Regenerate with: npm run gen-wasm +// 'code' is base64 of the wasm-opt -O2 optimized wasm; the rest are +// pointer offsets / field moduli. +export const code = "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+export const n8q = 32; +export const n8r = 32; +export const pG1b = 3080; +export const pG1gen = 32008; +export const pG1zero = 32104; +export const pG2b = 12648; +export const pG2gen = 32200; +export const pG2zero = 32392; +export const pOneT = 32584; +export const pq = 488; +export const pr = 1768; +export const prePSize = 192; +export const preQSize = 19776; +export const q = "21888242871839275222246405745257275088696311157297823662689037894645226208583"; +export const r = "21888242871839275222246405745257275088548364400416034343698204186575808495617"; diff --git a/src/wasm/msm_batch_wasm.js b/src/wasm/msm_batch_wasm.js new file mode 100644 index 0000000..a72bc24 --- /dev/null +++ b/src/wasm/msm_batch_wasm.js @@ -0,0 +1,4 @@ +// AUTO-GENERATED from wasmcurves/build/msm_batch.wasm — do not edit. +// Regenerate with: npm run gen-wasm +// Batch-affine MSM module; links against the main curve module at runtime. +export const code = 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"; diff --git a/src/wasm_curve.js b/src/wasm_curve.js index ae9c610..27ea0dc 100644 --- a/src/wasm_curve.js +++ b/src/wasm_curve.js @@ -101,7 +101,9 @@ export default class WasmCurve { } } else if (a.byteLength == this.F.n8*2) { if (b.byteLength == this.F.n8*3) { - return this.op2("_subMixed", b, a); + // _subMixed computes (jacobian - affine): swap and negate to + // preserve a - b (subtraction is anticommutative) + return this.neg(this.op2("_subMixed", b, a)); } else if (b.byteLength == this.F.n8*2) { return this.op2("_subAffine", a, b); } else { diff --git a/src/wasm_field1.js b/src/wasm_field1.js index e5c3b64..c71278d 100644 --- a/src/wasm_field1.js +++ b/src/wasm_field1.js @@ -35,8 +35,11 @@ export default class WasmField1 { this.n32 = Math.floor(n8/4); if(this.n64*8 != this.n8) { + // coverage: defensive guard against states the callers cannot produce + /* c8 ignore start */ throw new Error("n8 must be a multiple of 8"); } + /* c8 ignore stop */ this.half = Scalar.shiftRight(this.p, Scalar.one); this.nqr = this.two; @@ -64,9 +67,12 @@ export default class WasmField1 { this.w[i] = this.square(this.w[i+1]); } + // coverage: defensive guard against states the callers cannot produce + /* c8 ignore start */ if (!this.eq(this.w[0], this.one)) { throw new Error("Error calculating roots of unity"); } + /* c8 ignore stop */ this.batchToMontgomery = buildBatchConvert(tm, prefix + "_batchToMontgomery", this.n8, this.n8); this.batchFromMontgomery = buildBatchConvert(tm, prefix + "_batchFromMontgomery", this.n8, this.n8); @@ -255,8 +261,11 @@ export default class WasmField1 { const nPoints = Math.floor(buffIn.byteLength / sIn); if ( nPoints * sIn !== buffIn.byteLength) { + // coverage: BigBuffer output path requires >= 256 MiB of data + /* c8 ignore start */ throw new Error("Invalid buffer size"); } + /* c8 ignore stop */ const pointsPerChunk = Math.floor(nPoints/this.tm.concurrency); const opPromises = []; for (let i=0; i= 256 MiB of data + /* c8 ignore start */ fullBuffOut = new BigBuffer(nPoints*sOut); + /* c8 ignore stop */ } else { fullBuffOut = new Uint8Array(nPoints*sOut); } diff --git a/src/wasm_field2.js b/src/wasm_field2.js index ce8ee77..a8ab68a 100644 --- a/src/wasm_field2.js +++ b/src/wasm_field2.js @@ -133,7 +133,7 @@ export default class WasmField2 { const c2 = this.F.e(a[1], b); const res = new Uint8Array(this.F.n8*2); res.set(c1); - res.set(c2, this.F.n8*2); + res.set(c2, this.F.n8); return res; } else { throw new Error("invalid F2"); diff --git a/src/wasm_field3.js b/src/wasm_field3.js index 76bb317..09bed4a 100644 --- a/src/wasm_field3.js +++ b/src/wasm_field3.js @@ -107,6 +107,8 @@ export default class WasmField3 { return this.op1("_square", a); } + // coverage: dead code: unreachable by construction + /* c8 ignore start */ isSquare(a) { return this.op1Bool("_isSquare", a); } @@ -115,6 +117,7 @@ export default class WasmField3 { return this.op1("_sqrt", a); } + /* c8 ignore stop */ exp(a, b) { if (!(b instanceof Uint8Array)) { b = Scalar.toLEBuff(Scalar.e(b)); @@ -122,7 +125,7 @@ export default class WasmField3 { this.tm.setBuff(this.pOp1, a); this.tm.setBuff(this.pOp2, b); this.tm.instance.exports[this.prefix + "_exp"](this.pOp1, this.pOp2, b.byteLength, this.pOp3); - return this.getBuff(this.pOp3, this.n8); + return this.tm.getBuff(this.pOp3, this.n8); } e(a, b) { diff --git a/test/algebra.js b/test/algebra.js index d401dd5..0f2f8ff 100644 --- a/test/algebra.js +++ b/test/algebra.js @@ -1,3 +1,4 @@ +import { assert } from "vitest"; /* Copyright 2018 0kims association. @@ -16,24 +17,16 @@ You should have received a copy of the GNU General Public License along with zksnark JavaScript library. If not, see . */ - -import * as chai from "chai"; - import * as Scalar from "../src/scalar.js"; import buildBn128 from "../src/bn128.js"; import F1Field from "../src/f1field.js"; - -const assert = chai.assert; - - describe("F1 testing", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -75,13 +68,12 @@ describe("F1 testing", function() { }); describe("Curve G1 Test", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -108,13 +100,12 @@ describe("Curve G1 Test", function() { }); describe("Curve G2 Test", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -145,13 +136,12 @@ describe("Curve G2 Test", function() { }); describe("F6 testing", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -175,13 +165,12 @@ describe("F6 testing", function() { }); describe("F12 testing", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -218,13 +207,12 @@ describe("F12 testing", function() { }); describe("Pairing", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -299,13 +287,12 @@ describe("Pairing", function() { }); describe("Compressed Form", function() { - this.timeout(0); let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); diff --git a/test/bigbuffer.js b/test/bigbuffer.js new file mode 100644 index 0000000..501290a --- /dev/null +++ b/test/bigbuffer.js @@ -0,0 +1,117 @@ +import { assert } from "vitest"; +import BigBuffer from "../src/bigbuffer.js"; + + +// PAGE_SIZE is a private constant in src/bigbuffer.js (1 << 30, i.e. 1 GiB). +// Every test elsewhere in this suite uses KB-sized buffers, so firstPage === +// lastPage always holds and the cross-page copy loops in slice()/set() -- +// the entire reason BigBuffer exists, for multi-GiB circuits -- never run. +// These tests deliberately allocate just over 1 GiB to force that boundary. +const PAGE_SIZE = 1 << 30; + +describe("BigBuffer page-boundary correctness", function () { + + it("allocates exactly 1 page at size == PAGE_SIZE, 2 pages just above it", () => { + const atThreshold = new BigBuffer(PAGE_SIZE); + assert.equal(atThreshold.buffers.length, 1); + + const overThreshold = new BigBuffer(PAGE_SIZE + 1); + assert.equal(overThreshold.buffers.length, 2); + assert.equal(overThreshold.buffers[0].length, PAGE_SIZE); + assert.equal(overThreshold.buffers[1].length, 1); + }); + + it("set()/slice() round-trip a plain Uint8Array across a page boundary", () => { + const size = PAGE_SIZE + 1024; + const bb = new BigBuffer(size); + + const chunk = new Uint8Array(2048); + for (let i = 0; i < chunk.length; i++) chunk[i] = i & 0xFF; + // Starts 1024 bytes before the page boundary, ends 1024 after it. + const offset = PAGE_SIZE - 1024; + bb.set(chunk, offset); + + const readBack = bb.slice(offset, offset + chunk.length); + assert.equal(readBack.length, chunk.length); + for (let i = 0; i < chunk.length; i++) { + assert.equal(readBack[i], chunk[i], `byte mismatch at offset ${i}`); + } + }); + + it("slice() spanning a page boundary returns a plain Uint8Array (not BigBuffer) when the result fits in one page", () => { + const bb = new BigBuffer(PAGE_SIZE + 1024); + const chunk = new Uint8Array(2048); + for (let i = 0; i < chunk.length; i++) chunk[i] = i & 0xFF; + bb.set(chunk, PAGE_SIZE - 1024); + + const readBack = bb.slice(PAGE_SIZE - 1024, PAGE_SIZE + 1024); + assert.instanceOf(readBack, Uint8Array); + assert.isFalse(readBack instanceof BigBuffer); + }); + + it("slice() spanning multiple pages, with a result too large for one page, returns a BigBuffer", () => { + const size = 2 * PAGE_SIZE + 4096; + const bb = new BigBuffer(size); + + // Fill deterministically without materializing the whole thing at once. + const chunk = new Uint8Array(4096); + for (let i = 0; i < chunk.length; i++) chunk[i] = (i * 3) & 0xFF; + const offset = PAGE_SIZE - 2048; + bb.set(chunk, offset); + + // Slice a range that spans all 3 pages and exceeds PAGE_SIZE itself + // (from just before the chunk to the very end of the buffer). + const from = offset - 1000; + const sliceLen = size - from; + const result = bb.slice(from, from + sliceLen); + assert.instanceOf(result, BigBuffer); + assert.equal(result.byteLength, sliceLen); + + // Spot-check the embedded chunk survived the multi-page slice. + const relOffset = 1000; // where `chunk` starts inside `result` + for (let i = 0; i < chunk.length; i += 137) { + const b = result.slice(relOffset + i, relOffset + i + 1)[0]; + assert.equal(b, chunk[i], `byte mismatch at chunk offset ${i}`); + } + }); + + it("set() with a multi-page BigBuffer source writes correctly into a multi-page destination across both boundaries", () => { + const srcSize = PAGE_SIZE + 2048; + const src = new BigBuffer(srcSize); + const pattern = new Uint8Array(srcSize); + for (let i = 0; i < srcSize; i++) pattern[i] = (i * 7) & 0xFF; + src.set(pattern, 0); + assert.equal(src.buffers.length, 2); + + const dstSize = 2 * PAGE_SIZE + 4096; + const dst = new BigBuffer(dstSize); + assert.equal(dst.buffers.length, 3); + + // destOffset chosen so the multi-page src write itself straddles the + // destination's first internal page boundary. + const destOffset = PAGE_SIZE - 512; + dst.set(src, destOffset); + + // Sample across the whole written range plus exhaustively around + // both destination page boundaries (offset+512 and offset+PAGE_SIZE+512 + // relative to destOffset). + function checkByte(i) { + const b = dst.slice(destOffset + i, destOffset + i + 1)[0]; + assert.equal(b, pattern[i], `byte mismatch at src offset ${i}`); + } + for (let i = 0; i < srcSize; i += 100003) checkByte(i); // coarse sample + for (let i = 0; i < 1100; i++) checkByte(i); // first boundary region + for (let i = PAGE_SIZE + 512 - 600; i < PAGE_SIZE + 512 + 600 && i < srcSize; i++) checkByte(i); // second boundary region + }); + + it("set() with a zero-length buffer is a no-op and does not throw at a page boundary", () => { + const bb = new BigBuffer(PAGE_SIZE + 1024); + assert.doesNotThrow(() => bb.set(new Uint8Array(0), PAGE_SIZE - 10)); + }); + + it("slice() with length 0 at a page boundary returns an empty buffer without throwing", () => { + const bb = new BigBuffer(PAGE_SIZE + 1024); + const result = bb.slice(PAGE_SIZE, PAGE_SIZE); + assert.equal(result.length, 0); + }); +}); diff --git a/test/bls12381.js b/test/bls12381.js new file mode 100644 index 0000000..e561bc0 --- /dev/null +++ b/test/bls12381.js @@ -0,0 +1,104 @@ +import { assert } from "vitest"; +import buildBls12381 from "../src/bls12381.js"; + + +// Mirrors the multiexp-option coverage in test/bn128.js (multiExpAffine +// batching modes, GLV/GLS endomorphism options). bn128 already exercised +// these; bls12-381 only had indirect coverage via the SES lockdown harness +// (test/ses/lockdown.mjs), which builds single-threaded and only checks +// batch/no-endo/plain agreement at one size. This file adds the same +// per-option agreement checks bn128 has, multi-threaded, at the sizes used +// elsewhere in the suite. +// +// Note: per src/bls12381.js, the batch module's GLV path only carries +// bls12-381 G1 constants -- GLS (G2 4-dim decomposition) is bn254-only and +// the wasm falls through internally for bls G2 sizes. So the G2 "gls" test +// below still asserts agreement, but is confirming the fallthrough is a +// harmless no-op rather than exercising a distinct decomposition path. +describe("bls12381", async function () { + + let bls12381; + beforeAll(async () => { + bls12381 = await buildBls12381(); + }); + afterAll(async () => { + bls12381.terminate(); + }); + + async function checkChunkedMatches(G, Fr, N) { + const sG = G.F.n8 * 2; + const scalars = new Uint8Array(N * Fr.n8); + const bases = new Uint8Array(N * sG); + for (let i = 0; i < N; i++) { + const num = Fr.e(i + 1); + scalars.set(Fr.fromMontgomery(num), i * Fr.n8); + bases.set(G.toAffine(G.timesFr(G.g, num)), i * sG); + } + const expected = await G.multiExpAffine(bases, scalars, null, "ref"); + const reader = async (off, len) => bases.slice(off, off + len); + const got = await G.multiExpAffineChunked(reader, bases.byteLength, scalars, null, "chunked"); + assert(G.eq(expected, got)); + } + + it("multiExpAffineChunked (G1) matches multiExpAffine", async () => { + await checkChunkedMatches(bls12381.G1, bls12381.Fr, 1 << 14); + }); + + it("multiExpAffineChunked (G2) matches multiExpAffine", async () => { + await checkChunkedMatches(bls12381.G2, bls12381.Fr, 1 << 13); + }); + + it("multiexp batching modes (auto/enabled/disabled) agree", async () => { + const G = bls12381.G1, Fr = bls12381.Fr; + const N = 1 << 12; + const sG = G.F.n8 * 2; + const scalars = new Uint8Array(N * Fr.n8); + const bases = new Uint8Array(N * sG); + for (let i = 0; i < N; i++) { + const num = Fr.e(i * 7 + 3); + scalars.set(Fr.fromMontgomery(num), i * Fr.n8); + bases.set(G.toAffine(G.timesFr(G.g, num)), i * sG); + } + const rAuto = await G.multiExpAffine(bases, scalars, null, "auto", { batch: "auto" }); + const rOn = await G.multiExpAffine(bases, scalars, null, "on", { batch: "enabled" }); + const rOff = await G.multiExpAffine(bases, scalars, null, "off", { batch: "disabled" }); + const rDef = await G.multiExpAffine(bases, scalars, null, "def"); + assert(G.eq(rAuto, rOn)); + assert(G.eq(rAuto, rOff)); + assert(G.eq(rAuto, rDef)); + }); + + it("G1 glv option (endomorphism auto/disabled) agrees", async () => { + const G = bls12381.G1, Fr = bls12381.Fr; + const N = 1 << 11; + const sG = G.F.n8 * 2; + const scalars = new Uint8Array(N * Fr.n8); + const bases = new Uint8Array(N * sG); + for (let i = 0; i < N; i++) { + const num = Fr.e(i * 13 + 7); + scalars.set(Fr.fromMontgomery(num), i * Fr.n8); + bases.set(G.toAffine(G.timesFr(G.g, num)), i * sG); + } + const rAuto = await G.multiExpAffine(bases, scalars, null, "glv", { batch: "enabled" }); + const rNo = await G.multiExpAffine(bases, scalars, null, "noglv", { batch: "enabled", glv: "disabled" }); + assert(G.eq(rAuto, rNo)); + }); + + it("G2 gls option (bn254-only path falls through cleanly for bls12-381)", async () => { + const G = bls12381.G2, Fr = bls12381.Fr; + const N = 1 << 10; + const sG = G.F.n8 * 2; + const scalars = new Uint8Array(N * Fr.n8); + const bases = new Uint8Array(N * sG); + for (let i = 0; i < N; i++) { + const num = Fr.e(i * 11 + 5); + scalars.set(Fr.fromMontgomery(num), i * Fr.n8); + bases.set(G.toAffine(G.timesFr(G.g, num)), i * sG); + } + const rGls = await G.multiExpAffine(bases, scalars, null, "gls", { batch: "enabled" }); + const rNo = await G.multiExpAffine(bases, scalars, null, "nogls", { batch: "enabled", gls: "disabled" }); + const rOff = await G.multiExpAffine(bases, scalars, null, "plain", { batch: "disabled", gls: "disabled" }); + assert(G.eq(rGls, rNo)); + assert(G.eq(rGls, rOff)); + }); +}); diff --git a/test/bn128.js b/test/bn128.js index c6c6291..fdc4d39 100644 --- a/test/bn128.js +++ b/test/bn128.js @@ -1,12 +1,8 @@ -import * as chai from "chai"; +import { assert } from "vitest"; import buildBn128 from "../src/bn128.js"; import {log2} from "../src/utils.js"; import BigBuffer from "../src/bigbuffer.js"; - -const assert = chai.assert; - describe("bn128", async function () { - this.timeout(0); const logger = { error: (msg) => { console.log("ERROR: "+msg); }, @@ -16,11 +12,11 @@ describe("bn128", async function () { }; let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); console.log(bn128.Fr.toString(bn128.Fr.w[28])); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); @@ -73,6 +69,20 @@ describe("bn128", async function () { } }); + it("Fr.fft consume matches non-consume and detaches the input", async () => { + const Fr = bn128.Fr; + const N = 1 << 10; + const a = new Uint8Array(N * Fr.n8); + for (let i = 0; i < N; i++) a.set(Fr.e(i + 1), i * Fr.n8); + + const ref = await Fr.fft(a.slice(), "", "", null, "ref"); // copy, non-consume + const got = await Fr.fft(a, "", "", null, "consume", true); // flat Uint8Array -> consumed + + assert.equal(got.byteLength, ref.byteLength); + for (let i = 0; i < ref.byteLength; i++) assert.equal(got[i], ref[i]); + assert.equal(a.byteLength, 0, "consumed input buffer should be detached"); + }); + it("It shoud do a big FFT/IFFT in Fr", async () => { @@ -86,12 +96,33 @@ describe("bn128", async function () { const Ainv = await bn128.Fr.ifft(A); for (let i=0; i { + const Fr = bn128.Fr; + for (const N of [1, 2]) { + const buf = new Uint8Array(N * Fr.n8); + for (let i = 0; i < N; i++) buf.set(Fr.e(i + 1), i * Fr.n8); + const fft = await Fr.fft(buf); + const back = await Fr.ifft(fft); + for (let i = 0; i < N; i++) { + assert(Fr.eq(Fr.e(i + 1), back.slice(i * Fr.n8, (i + 1) * Fr.n8))); + } + } + }); + + it("Fr.fft rejects N=0 with a clear error instead of hanging or crashing", async () => { + const Fr = bn128.Fr; + let threw = false; + try { await Fr.fft(new Uint8Array(0)); } + catch { threw = true; } + assert(threw, "fft on an empty buffer should throw, not hang or silently return garbage"); + }); + it("It shoud do a big FFTExt/IFFTExt in Fr", async () => { const Fr = bn128.Fr; const N = 16; @@ -106,7 +137,7 @@ describe("bn128", async function () { const Ainv = await bn128.Fr.ifft(A); for (let i=0; i bases.slice(off, off+len); + const got = await G.multiExpAffineChunked(reader, bases.byteLength, scalars, null, "chunked"); + assert(G.eq(expected, got)); + } + + it("multiExpAffineChunked (G1) matches multiExpAffine", async () => { + await checkChunkedMatches(bn128.G1, bn128.Fr, 1 << 14); // ~4 chunks + }); + + it("multiExpAffineChunked (G2) matches multiExpAffine", async () => { + await checkChunkedMatches(bn128.G2, bn128.Fr, 1 << 13); // ~2 chunks + }); + + it("multiexp batching modes (auto/enabled/disabled) agree", async () => { + const G = bn128.G1, Fr = bn128.Fr; + const N = 1 << 12; + const sG = G.F.n8*2; + const scalars = new Uint8Array(N*Fr.n8); + const bases = new Uint8Array(N*sG); + for (let i=0; i { + const G = bn128.G1, Fr = bn128.Fr; + const N = 1 << 11; + const sG = G.F.n8*2; + const scalars = new Uint8Array(N*Fr.n8); + const bases = new Uint8Array(N*sG); + for (let i=0; i { + const G = bn128.G2, Fr = bn128.Fr; + const N = 1 << 10; + const sG = G.F.n8*2; + const scalars = new Uint8Array(N*Fr.n8); + const bases = new Uint8Array(N*sG); + for (let i=0; i { + let threw = false; + try { await bn128.G1.multiExpAffineChunked(null, 64, new Uint8Array(32), null, "bad"); } + catch { threw = true; } + assert(threw, "should throw when basesReader is not a function"); + }); + + it("multiExpAffine rejects a scalar buffer whose length doesn't divide evenly across the bases", async () => { + const G = bn128.G1, Fr = bn128.Fr; + const N = 10; + const bases = new Uint8Array(N * G.F.n8 * 2); + // Not a multiple of N -- geometry() can't derive a consistent sScalar. + const badScalars = new Uint8Array(N * Fr.n8 + 3); + let threw = false; + try { await G.multiExpAffine(bases, badScalars, null, "mismatch"); } + catch { threw = true; } + assert(threw, "should throw when scalar buffer size is inconsistent with the bases count"); + }); }); diff --git a/test/crash_regressions.test.js b/test/crash_regressions.test.js new file mode 100644 index 0000000..4890b19 --- /dev/null +++ b/test/crash_regressions.test.js @@ -0,0 +1,38 @@ +import { execFileSync } from "child_process"; +import { fileURLToPath } from "url"; +import path from "path"; + +// These regressions are process-crash bugs (unhandled promise rejections), +// so each harness runs as its OWN process -- like test/ses/lockdown.mjs -- +// and this file just asserts a clean exit / expected output. +describe("multiexp crash regressions", function () { + + it("multiExpAffineChunked + terminate() survives a mid-stream basesReader failure", () => { + const dir = path.dirname(fileURLToPath(import.meta.url)); + const harness = path.join(dir, "multiexp", "mid_stream_reader_failure.mjs"); + // throws (failing the test) if the harness exits non-zero; inherit stdio + // so the harness's OK/FAIL line appears in the mocha output. + execFileSync(process.execPath, [harness], { stdio: "inherit", timeout: 120_000, killSignal: "SIGKILL" }); + }); +}); + +describe("threadman crash regressions", function () { + + it("survives a worker-side task error without crashing the process", () => { + const dir = path.dirname(fileURLToPath(import.meta.url)); + const harness = path.join(dir, "threadman", "worker_task_error.mjs"); + execFileSync(process.execPath, [harness], { stdio: "inherit", timeout: 120_000, killSignal: "SIGKILL" }); + }); + + it("propagates worker errors instead of hanging (INIT failure, dispatch failure, queue stall)", () => { + const dir = path.dirname(fileURLToPath(import.meta.url)); + const harness = path.join(dir, "threadman", "worker_error_hangs.mjs"); + execFileSync(process.execPath, [harness], { stdio: "inherit", timeout: 120_000, killSignal: "SIGKILL" }); + }); + + it("gives up after repeated worker boot failures instead of respawning forever", () => { + const dir = path.dirname(fileURLToPath(import.meta.url)); + const harness = path.join(dir, "threadman", "boot_failure_melt.mjs"); + execFileSync(process.execPath, [harness], { stdio: "inherit", timeout: 120_000, killSignal: "SIGKILL" }); + }); +}); diff --git a/test/curve_point_validation.js b/test/curve_point_validation.js new file mode 100644 index 0000000..5b6b793 --- /dev/null +++ b/test/curve_point_validation.js @@ -0,0 +1,63 @@ +import { assert } from "vitest"; +import buildBn128 from "../src/bn128.js"; +import buildBls12381 from "../src/bls12381.js"; + + +// isValid() has zero test coverage anywhere else in this repo, yet it is the +// function that guards against an off-curve/invalid-curve point sneaking in +// from untrusted, deserialized input (a proof, a verification key). This +// covers both curves, both groups, and both valid and deliberately corrupted +// points. +describe("curve point validation (isValid)", function () { + + const curves = []; + + beforeAll(async () => { + curves.push({ name: "bn128", curve: await buildBn128() }); + curves.push({ name: "bls12381", curve: await buildBls12381() }); + }); + + afterAll(async () => { + for (const { curve } of curves) await curve.terminate(); + }); + + function corruptPoint(G, P) { + // Flip a byte of the x coordinate (first limb) -- moves the point + // off the curve for essentially any nonzero point. + const bad = new Uint8Array(P); + bad[0] ^= 0xFF; + return bad; + } + + it("accepts the group identity for G1 and G2 on both curves", () => { + for (const { curve } of curves) { + assert(curve.G1.isValid(curve.G1.zero)); + assert(curve.G2.isValid(curve.G2.zero)); + } + }); + + it("accepts the generator for G1 and G2 on both curves", () => { + for (const { curve } of curves) { + assert(curve.G1.isValid(curve.G1.g)); + assert(curve.G2.isValid(curve.G2.g)); + } + }); + + it("accepts an arbitrary scalar multiple of the generator", () => { + for (const { curve } of curves) { + const k = curve.Fr.e(123456789); + assert(curve.G1.isValid(curve.G1.timesFr(curve.G1.g, k))); + assert(curve.G2.isValid(curve.G2.timesFr(curve.G2.g, k))); + } + }); + + it("rejects a point with a corrupted (off-curve) x coordinate", () => { + for (const { curve } of curves) { + const k = curve.Fr.e(42); + const P1 = curve.G1.timesFr(curve.G1.g, k); + const P2 = curve.G2.timesFr(curve.G2.g, k); + assert.isFalse(curve.G1.isValid(corruptPoint(curve.G1, P1))); + assert.isFalse(curve.G2.isValid(corruptPoint(curve.G2, P2))); + } + }); +}); diff --git a/test/engine_ops.test.js b/test/engine_ops.test.js new file mode 100644 index 0000000..08e4f00 --- /dev/null +++ b/test/engine_ops.test.js @@ -0,0 +1,436 @@ +import { assert } from "vitest"; +import buildBn128 from "../src/bn128.js"; +import * as Scalar from "../src/scalar.js"; +import * as utils from "../src/utils.js"; +import BigBuffer from "../src/bigbuffer.js"; +import { getCurveFromName, getCurveFromQ, getCurveFromR } from "../src/curves.js"; +import { base64ToUint8Array } from "../src/wasm/base64.js"; + + +describe("engine batch operations", function () { + + let curve, Fr, G1, G2; + + beforeAll(async () => { + curve = await buildBn128(); + Fr = curve.Fr; G1 = curve.G1; G2 = curve.G2; + }); + afterAll(async () => { + await curve.terminate(); + }); + + function frBuff(scalars) { + const buff = new Uint8Array(scalars.length * Fr.n8); + scalars.forEach((s, i) => buff.set(Fr.e(s), i * Fr.n8)); + return buff; + } + + function pointsBuff(G, scalars, type) { + const sG = type === "jacobian" ? G.F.n8 * 3 : G.F.n8 * 2; + const buff = new Uint8Array(scalars.length * sG); + scalars.forEach((s, i) => { + const P = G.timesFr(G.g, Fr.e(s)); + buff.set(type === "jacobian" ? G.toJacobian(P) : G.toAffine(P), i * sG); + }); + return buff; + } + + it("batchToMontgomery/batchFromMontgomery round-trip, Uint8Array and BigBuffer", async () => { + const scalars = [...Array(8).keys()].map((i) => i * 999 + 1); + const buff = frBuff(scalars); + // Fr.e produces montgomery form; convert out and back + const std = await Fr.batchFromMontgomery(buff); + const back = await Fr.batchToMontgomery(std); + assert.deepEqual([...back], [...buff]); + + const big = new BigBuffer(buff.byteLength); + big.set(buff, 0); + const stdBig = await Fr.batchFromMontgomery(big); + const backBig = await Fr.batchToMontgomery(stdBig); + assert.deepEqual([...backBig.slice(0, buff.byteLength)], [...buff]); + }); + + it("G1 representation batch conversions round-trip and match single-point ops", async () => { + const ks = [1, 2, 3, 5, 8, 13, 21, 34]; + const lem = pointsBuff(G1, ks, "affine"); + const sG = G1.F.n8 * 2; + + const u = await G1.batchLEMtoU(lem); + const backFromU = await G1.batchUtoLEM(u); + assert.deepEqual([...backFromU], [...lem]); + + const c = await G1.batchLEMtoC(lem); + const backFromC = await G1.batchCtoLEM(c); + assert.deepEqual([...backFromC], [...lem]); + + const jac = await G1.batchToJacobian(lem); + const affine = await G1.batchToAffine(jac); + assert.deepEqual([...affine], [...lem]); + + // single-point agreement + for (let i = 0; i < ks.length; i++) { + const P = lem.slice(i * sG, (i + 1) * sG); + const single = new Uint8Array(sG); + G1.toRprUncompressed(single, 0, P); + assert.deepEqual([...u.slice(i * sG, (i + 1) * sG)], [...single], `point ${i}`); + } + }); + + it("batchApplyKey multiplies element i by first·inc^i (Fr, G1 affine and jacobian)", async () => { + const ks = [7, 11, 13, 17]; + const first = Fr.e(5), inc = Fr.e(3); + + const frIn = frBuff(ks); + const frOut = await Fr.batchApplyKey(frIn, first, inc); + let t = first; + for (let i = 0; i < ks.length; i++) { + const expected = Fr.mul(Fr.e(ks[i]), t); + assert.deepEqual([...frOut.slice(i * Fr.n8, (i + 1) * Fr.n8)], [...expected], `Fr ${i}`); + t = Fr.mul(t, inc); + } + + for (const type of ["affine", "jacobian"]) { + const sG = type === "jacobian" ? G1.F.n8 * 3 : G1.F.n8 * 2; + const g1In = pointsBuff(G1, ks, type); + const g1Out = await G1.batchApplyKey(g1In, first, inc, type, type); + let tt = first; + for (let i = 0; i < ks.length; i++) { + const expected = G1.timesFr(G1.timesFr(G1.g, Fr.e(ks[i])), tt); + const got = g1Out.slice(i * sG, (i + 1) * sG); + assert(G1.eq(got, expected), `G1 ${type} ${i}`); + tt = Fr.mul(tt, inc); + } + } + }); + + it("Fr.fft/ifft round-trip with logger, BigBuffer input, and G-homomorphism", async () => { + const logLines = []; + const logger = { debug: (m) => logLines.push(m), info() {}, warn() {}, error() {} }; + + const ks = [...Array(16).keys()].map((i) => i * 7 + 1); + const buff = frBuff(ks); + const freq = await Fr.fft(buff, "", "", logger, "fr-fft"); + const back = await Fr.ifft(freq, "", "", logger, "fr-ifft"); + assert.deepEqual([...back], [...buff]); + assert(logLines.length > 0); + + const big = new BigBuffer(buff.byteLength); + big.set(buff, 0); + const freqBig = await Fr.fft(big); + assert.deepEqual([...freqBig.slice(0, buff.byteLength)], [...freq]); + + // G1.fft(g·k) == g·(Fr.fft(k)) -- the group FFT is the field FFT + // lifted through the homomorphism k -> k·G + const g1In = pointsBuff(G1, ks, "affine"); + const g1Freq = await G1.fft(g1In, "affine", "affine"); + const sG = G1.F.n8 * 2; + for (let i = 0; i < ks.length; i++) { + const scalar = freq.slice(i * Fr.n8, (i + 1) * Fr.n8); + const expected = G1.timesFr(G1.g, scalar); + const got = g1Freq.slice(i * sG, (i + 1) * sG); + assert(G1.eq(got, expected), `G1 fft point ${i}`); + } + + // and the inverse brings the points back + const g1Back = await G1.ifft(g1Freq, "affine", "affine"); + for (let i = 0; i < ks.length; i++) { + assert(G1.eq(g1Back.slice(i * sG, (i + 1) * sG), g1In.slice(i * sG, (i + 1) * sG)), `G1 ifft point ${i}`); + } + }); + + it("fft rejects a non-power-of-two input", async () => { + const buff = frBuff([1, 2, 3]); + let threw = false; + try { await Fr.fft(buff); } catch (e) { threw = true; } + assert(threw); + }); + + it("lagrangeEvaluations inverts fft (G1 and G2, affine and jacobian)", async () => { + const ks = [3, 1, 4, 1, 5, 9, 2, 6]; + for (const [G, name] of [[G1, "G1"], [G2, "G2"]]) { + for (const type of ["affine", "jacobian"]) { + const sG = type === "jacobian" ? G.F.n8 * 3 : G.F.n8 * 2; + const evals = pointsBuff(G, ks, type); + const coefs = await G.lagrangeEvaluations(evals, type, type, undefined, name); + const back = await G.fft(coefs, type, type); + for (let i = 0; i < ks.length; i++) { + assert(G.eq(back.slice(i * sG, (i + 1) * sG), evals.slice(i * sG, (i + 1) * sG)), `${name} ${type} ${i}`); + } + } + } + }); + + it("lagrangeEvaluations rejects a non-power-of-two input", async () => { + const errors = []; + const logger = { error: (m) => errors.push(m), debug() {}, info() {}, warn() {} }; + const bad = pointsBuff(G1, [1, 2, 3], "affine"); + let threw = false; + try { await G1.lagrangeEvaluations(bad, "affine", "affine", logger, "bad"); } catch (e) { threw = true; } + assert(threw); + assert(errors.length > 0); + }); + + it("exported fftMix/fftJoin reproduce the internal forward FFT", async () => { + // Mirror of the internal chunked pipeline at the smallest scale: + // bit-reverse, in-chunk mix on each half, then one join round with + // first = w^0, inc = w[bits]. + const ks = [...Array(16).keys()].map((i) => 3 * i + 2); + const bits = 4; + const sG = G1.F.n8 * 3; + + const natural = pointsBuff(G1, ks, "jacobian"); + const oracle = await G1.fft(natural, "jacobian", "jacobian"); + + const rev = new Uint8Array(natural); + utils.buffReverseBits(rev, sG); + let b1 = rev.slice(0, 8 * sG); + let b2 = rev.slice(8 * sG); + b1 = await G1.fftMix(b1); + b2 = await G1.fftMix(b2); + [b1, b2] = await G1.fftJoin(b1, b2, Fr.one, Fr.w[bits]); + + const mirror = new Uint8Array(16 * sG); + mirror.set(b1, 0); + mirror.set(b2, 8 * sG); + + for (let i = 0; i < 16; i++) { + assert(G1.eq(mirror.slice(i * sG, (i + 1) * sG), oracle.slice(i * sG, (i + 1) * sG)), `point ${i}`); + } + }); + + it("exported fftFinal scales points by the factor and returns affine", async () => { + const ks = [2, 4, 6, 8, 10, 12, 14, 16]; + const factor = Fr.e(3); + const jac = pointsBuff(G1, ks, "jacobian"); + const out = await G1.fftFinal(jac, factor); + const sOut = G1.F.n8 * 2; + assert.strictEqual(out.byteLength, ks.length * sOut); + + // Every output point must be factor·(input point), in some order + const expected = ks.map((k) => G1.timesFr(G1.g, Fr.mul(Fr.e(k), factor))); + for (let i = 0; i < ks.length; i++) { + const got = out.slice(i * sOut, (i + 1) * sOut); + assert(expected.some((e) => G1.eq(got, e)), `point ${i} is a scaled input`); + } + }); + + it("fftJoin and fftFinal validate their inputs", async () => { + const sG = G1.F.n8 * 3; + const a = pointsBuff(G1, [1, 2], "jacobian"); + const b = pointsBuff(G1, [1, 2, 3, 4], "jacobian"); + let threw = false; + try { await G1.fftJoin(a, b, Fr.one, Fr.w[2]); } catch (e) { threw = true; } + assert(threw, "size mismatch must reject"); + + threw = false; + try { await Fr.fftFinal(frBuff([1, 2]), Fr.one); } catch (e) { threw = true; } + assert(threw, "fftFinal is only defined for point groups"); + void sG; + }); + + it("wasm curve sweep: conversions, accessors, validity, serialization", async () => { + for (const [G, label] of [[G1, "G1"], [G2, "G2"]]) { + const P = G.timesFr(G.g, Fr.e(987654321)); + const aff = G.toAffine(P); + const jac = G.toJacobian(aff); + assert(G.eq(jac, P), `${label} affine/jacobian round-trip`); + + assert(G.isValid(aff), `${label} valid point`); + assert(G.eq(G.e(G.toObject(aff)), aff), `${label} toObject/fromObject/e`); + assert(typeof G.toString(aff, 16) === "string"); + + const u = G.toUncompressed(aff); + assert(G.eq(G.fromRprUncompressed(u, 0), aff), `${label} uncompressed`); + + const sG = G.F.n8 * 2; + const lem = new Uint8Array(sG); + G.toRprLEM(lem, 0, aff); + assert(G.eq(G.fromRprLEM(lem, 0), aff), `${label} LEM`); + + const comp = new Uint8Array(G.F.n8); + G.toRprCompressed(comp, 0, aff); + assert(G.eq(G.fromRprCompressed(comp, 0), aff), `${label} compressed`); + + // x()/y() accessors return the affine coordinates + assert(G.F.eq(G.x(aff), aff.slice(0, G.F.n8)), `${label} x accessor`); + assert(G.F.eq(G.y(aff), aff.slice(G.F.n8, G.F.n8 * 2)), `${label} y accessor`); + + // corrupting a coordinate produces an invalid point + const bad = new Uint8Array(aff); + bad[8] ^= 0xFF; + assert(!G.isValid(bad), `${label} corrupted point detected`); + + // timesScalar and timesFr agree + const t1 = G.timesScalar(G.g, Scalar.e(31)); + const t2 = G.timesFr(G.g, Fr.e(31)); + assert(G.eq(t1, t2), `${label} timesScalar/timesFr`); + + // fromRng gives a valid point + const { default: ChaCha } = await import("../src/chacha.js"); + const p = G.fromRng(new ChaCha([1, 3, 5, 7, 9, 11, 13, 15])); + assert(G.isValid(G.toAffine(p)), `${label} fromRng valid`); + } + }); + + it("wasm field sweep: F1, Fr, F2, F6, F12 basic algebra", async () => { + for (const [F, deg, label] of [[curve.F1, 1, "F1"], [Fr, 1, "Fr"], [curve.F2, 2, "F2"], [curve.F6, 3, "F6"], [curve.F12, 2, "F12"]]) { + const a = F.random(); + const b = F.random(); + assert(F.eq(F.add(a, b), F.add(b, a)), `${label} add commutes`); + assert(F.eq(F.sub(a, b), F.neg(F.sub(b, a))), `${label} sub/neg`); + assert(F.eq(F.square(a), F.mul(a, a)), `${label} square`); + if (!F.isZero(a)) { + assert(F.eq(F.mul(a, F.inv(a)), F.one), `${label} inverse`); + assert(F.eq(F.div(b, a), F.mul(b, F.inv(a))), `${label} div`); + } + assert(F.isZero(F.sub(a, a)), `${label} zero`); + assert(F.eq(F.fromObject(F.toObject(a)), a), `${label} object round-trip`); + assert(typeof F.toString(a) === "string", `${label} toString`); + void deg; + } + + // F1/Fr extras + assert(Fr.isSquare(Fr.square(Fr.e(77)))); + const s = Fr.sqrt(Fr.square(Fr.e(77))); + assert(Fr.eq(Fr.square(s), Fr.square(Fr.e(77)))); + assert(Fr.isNegative(Fr.neg(Fr.e(1)))); + assert(!Fr.isNegative(Fr.e(1))); + assert(Fr.eq(Fr.exp(Fr.e(3), Scalar.e(4)), Fr.e(81))); + assert(Fr.eq(Fr.e("0x0a", 16), Fr.e(10))); + assert(Fr.eq(Fr.e(-5), Fr.neg(Fr.e(5)))); + + const le = new Uint8Array(Fr.n8); + Fr.toRprLE(le, 0, Fr.e(1234)); + assert(Fr.eq(Fr.fromRprLE(le, 0), Fr.e(1234))); + // wasm fields expose toRprBE but no fromRprBE: verify against the + // byte-reversed LE representation instead + const be = new Uint8Array(Fr.n8); + Fr.toRprBE(be, 0, Fr.e(1234)); + assert.deepEqual([...be].reverse(), [...le]); + }); + + it("array2buffer/buffer2array and curve helpers", async () => { + const sG = G1.F.n8 * 2; + const pts = [1, 2, 3].map((k) => G1.toAffine(G1.timesFr(G1.g, Fr.e(k)))); + const buff = curve.array2buffer(pts, sG); + const arr = curve.buffer2array(buff, sG); + assert.strictEqual(arr.length, 3); + for (let i = 0; i < 3; i++) assert(G1.eq(arr[i], pts[i])); + }); +}); + +describe("curves module", function () { + + it("resolves curves by name, q and r, rejecting unknown values", async () => { + const c1 = await getCurveFromName("bn128", true); + assert.strictEqual(c1.name, "bn128"); + const c2 = await getCurveFromQ(c1.q, true); + assert.strictEqual(c2.name, "bn128"); + const c3 = await getCurveFromR(c1.r, true); + assert.strictEqual(c3.name, "bn128"); + await c1.terminate(); + + let threw = false; + try { await getCurveFromName("ed25519"); } catch (e) { threw = true; } + assert(threw); + threw = false; + try { await getCurveFromQ(Scalar.e(17)); } catch (e) { threw = true; } + assert(threw); + threw = false; + try { await getCurveFromR(Scalar.e(17)); } catch (e) { threw = true; } + assert(threw); + }); +}); + +describe("utils module", function () { + it("buffer/int conversions round-trip (LE and BE, multi-limb)", () => { + for (const n of [0n, 1n, 255n, 65537n, 2n ** 63n + 5n, 2n ** 250n + 12345n]) { + for (const len of [32, 48]) { + assert(Scalar.eq(utils.leBuff2int(utils.leInt2Buff(n, len)), n), `LE ${n}`); + assert(Scalar.eq(utils.beBuff2int(utils.beInt2Buff(n, len)), n), `BE ${n}`); + } + } + // odd buffer sizes exercise the partial-word paths + for (const len of [1, 2, 3, 5, 7, 11]) { + const n = (1n << BigInt(len * 8)) - 3n; + assert(Scalar.eq(utils.leBuff2int(utils.leInt2Buff(n, len)), n), `LE odd ${len}`); + assert(Scalar.eq(utils.beBuff2int(utils.beInt2Buff(n, len)), n), `BE odd ${len}`); + } + }); + + it("stringifyBigInts/unstringifyBigInts cover every value shape", () => { + const o = { + n: 123n, + s: "456", + arr: [1n, "2", { deep: 3n }], + u8: utils.leInt2Buff(999n, 32), + // note: null values are NOT supported -- stringifyBigInts probes + // o.eq and would throw on null + }; + const s = utils.stringifyBigInts(o); + assert.strictEqual(s.n, "123"); + assert.strictEqual(s.arr[2].deep, "3"); + const u = utils.unstringifyBigInts(s); + assert.strictEqual(u.n, 123n); + assert.strictEqual(u.arr[2].deep, 3n); + // __BigInt__-style round trip for Uint8Array content + assert(Scalar.eq(utils.leBuff2int(o.u8), 999n)); + }); + + it("stringifyFElements/unstringifyFElements round-trip through a field", async () => { + const curve = await buildBn128(true); + try { + const Fr = curve.Fr; + const o = { a: Fr.e(7), list: [Fr.e(1), Fr.e(2)], nested: { b: Fr.e(3) } }; + const s = utils.stringifyFElements(Fr, o); + assert.strictEqual(s.a, "7"); + const u = utils.unstringifyFElements(Fr, s); + assert(Fr.eq(u.a, Fr.e(7))); + assert(Fr.eq(u.list[1], Fr.e(2))); + assert(Fr.eq(u.nested.b, Fr.e(3))); + } finally { + await curve.terminate(); + } + }); + + it("bitReverse, log2 and buffReverseBits", () => { + assert.strictEqual(utils.bitReverse(1, 4), 8); + assert.strictEqual(utils.bitReverse(utils.bitReverse(1234567, 24), 24), 1234567); + assert.strictEqual(utils.log2(1), 0); + assert.strictEqual(utils.log2(1 << 20), 20); + + // buffReverseBits permutes elements by bit-reversed index + const eSize = 4; + const n = 8; + const buff = new Uint8Array(n * eSize); + for (let i = 0; i < n; i++) buff[i * eSize] = i; + utils.buffReverseBits(buff, eSize); + const got = [...Array(n).keys()].map((i) => buff[i * eSize]); + assert.deepEqual(got, [0, 4, 2, 6, 1, 5, 3, 7]); + }); + + it("array2buffer/buffer2array round-trip", () => { + const a = [new Uint8Array([1, 2]), new Uint8Array([3, 4]), new Uint8Array([5, 6])]; + const buff = utils.array2buffer(a, 2); + assert.deepEqual([...buff], [1, 2, 3, 4, 5, 6]); + const back = utils.buffer2array(buff, 2); + assert.deepEqual([...back[2]], [5, 6]); + }); +}); + +describe("wasm base64 decoder", function () { + it("decodes base64 back to the original bytes", () => { + const cases = [ + [72, 101, 108, 108, 111], // "SGVsbG8=" (padded) + [1, 2, 3], + [255], + [0, 0, 0, 0], + [...Array(300).keys()].map((i) => i % 256), + ]; + for (const bytes of cases) { + const b64 = Buffer.from(bytes).toString("base64"); + const out = base64ToUint8Array(b64); + assert.deepEqual([...out], bytes, b64.slice(0, 16)); + } + }); +}); diff --git a/test/extfields_ec.test.js b/test/extfields_ec.test.js new file mode 100644 index 0000000..246bdff --- /dev/null +++ b/test/extfields_ec.test.js @@ -0,0 +1,312 @@ +import { assert } from "vitest"; +import * as Scalar from "../src/scalar.js"; +import buildBn128 from "../src/bn128.js"; +import F1Field from "../src/f1field.js"; +import F2Field from "../src/f2field.js"; +import F3Field from "../src/f3field.js"; +import EC from "../src/ec.js"; +import ChaCha from "../src/chacha.js"; + + +// bn128 base field prime +const q = Scalar.fromString("21888242871839275222246405745257275088696311157297823662689037894645226208583"); + +function checkFieldAxioms(F, sample) { + const a = sample(), b = sample(), c = sample(); + + assert(F.eq(F.add(a, b), F.add(b, a)), "add commutes"); + assert(F.eq(F.mul(a, b), F.mul(b, a)), "mul commutes"); + assert(F.eq(F.add(F.add(a, b), c), F.add(a, F.add(b, c))), "add associates"); + assert(F.eq(F.mul(F.mul(a, b), c), F.mul(a, F.mul(b, c))), "mul associates"); + assert(F.eq(F.mul(a, F.add(b, c)), F.add(F.mul(a, b), F.mul(a, c))), "distributes"); + assert(F.eq(F.sub(a, b), F.neg(F.sub(b, a))), "sub/neg consistent"); + assert(F.eq(F.double(a), F.add(a, a)), "double"); + assert(F.eq(F.square(a), F.mul(a, a)), "square"); + assert(F.isZero(F.sub(a, a)), "a-a is zero"); + if (!F.isZero(a)) { + assert(F.eq(F.mul(a, F.inv(a)), F.one), "a * a^-1 = 1"); + assert(F.eq(F.div(b, a), F.mul(b, F.inv(a))), "div = mul inv"); + } + assert(F.eq(F.mulScalar(a, 3), F.add(F.add(a, a), a)), "mulScalar"); + assert(F.eq(F.exp(a, 5), F.mul(F.square(F.square(a)), a)), "exp 5"); + assert(F.neq(a, F.add(a, F.one)), "neq"); +} + +describe("F2Field", function () { + + // bn128's Fq2: nonResidue = -1 + const F1 = new F1Field(q); + const F2 = new F2Field(F1, F1.negone); + const rng = new ChaCha([1, 2, 3, 4, 5, 6, 7, 8]); + const sample = () => F2.fromRng(rng); + + it("satisfies the field axioms", () => { + for (let i = 0; i < 5; i++) checkFieldAxioms(F2, sample); + }); + + it("copy, conjugate and pow behave", () => { + const a = sample(); + const ca = F2.copy(a); + assert(F2.eq(ca, a)); + + // conj(a) * a = norm(a), an element with zero imaginary part + const n = F2.mul(a, F2.conjugate(a)); + assert(F1.isZero(n[1]), "norm is in the base field"); + + assert(F2.eq(F2.pow(a, 3), F2.mul(F2.square(a), a))); + }); + + it("orders elements consistently (gt/lt/geq/leq)", () => { + const a = sample(); + const b = F2.add(a, F2.one); + assert.strictEqual(F2.gt(a, a), false); + assert.strictEqual(F2.geq(a, a), true); + assert.strictEqual(F2.leq(a, a), true); + assert.strictEqual(F2.lt(a, b) || F2.gt(a, b), true); + assert.strictEqual(F2.lt(a, b), !F2.geq(a, b)); + }); + + it("random and toString produce usable values", () => { + const r = F2.random(); + assert(Array.isArray(r) && r.length === 2); + assert(typeof F2.toString(sample()) === "string"); + }); + + it("serializes through LE/BE/LEM/BEM round-trips", () => { + const a = sample(); + const n8 = F1.n64 * 8 * 2; + for (const [to, from] of [ + ["toRprLE", "fromRprLE"], ["toRprBE", "fromRprBE"], + ["toRprLEM", "fromRprLEM"], ["toRprBEM", "fromRprBEM"], + ]) { + const buff = new Uint8Array(n8); + F2[to](buff, 0, a); + assert(F2.eq(F2[from](buff, 0), a), to); + } + }); + + it("computes square roots (alg9, q % 4 == 3 tower)", () => { + const a = sample(); + const sq = F2.square(a); + const s = F2.sqrt(sq); + assert(s !== null); + assert(F2.eq(F2.square(s), sq)); + }); + + it("alg10 (p % 4 == 1 tower) is an unimplemented stub that throws", () => { + const F17 = new F1Field(Scalar.e(17)); + // 3 is not a quadratic residue mod 17 + const F289 = new F2Field(F17, F17.e(3)); + const a = F289.square(F289.fromRng(new ChaCha([9, 8, 7, 6, 5, 4, 3, 2]))); + assert.throws(() => F289.sqrt(a), /Sqrt alg 10 not implemented/); + }); +}); + +describe("F3Field", function () { + + // 2 is not a cube mod 7 (cubes mod 7 are {1, 6}) + const F1 = new F1Field(Scalar.e(7)); + const F3 = new F3Field(F1, F1.e(2)); + const rng = new ChaCha([2, 4, 6, 8, 10, 12, 14, 16]); + const sample = () => F3.fromRng(rng); + + it("satisfies the field axioms", () => { + for (let i = 0; i < 10; i++) checkFieldAxioms(F3, sample); + }); + + it("orders, copies and stringifies", () => { + const a = sample(); + assert(F3.eq(F3.copy(a), a)); + assert.strictEqual(F3.geq(a, a), true); + assert.strictEqual(F3.leq(a, a), true); + assert.strictEqual(F3.gt(a, a), false); + assert.strictEqual(F3.lt(a, a), false); + assert(typeof F3.toString(a) === "string"); + const r = F3.random(); + assert(Array.isArray(r) && r.length === 3); + }); + + it("serializes through LE/BE/LEM/BEM round-trips", () => { + const a = sample(); + const n8 = F1.n64 * 8 * 3; + for (const [to, from] of [ + ["toRprLE", "fromRprLE"], ["toRprBE", "fromRprBE"], + ["toRprLEM", "fromRprLEM"], ["toRprBEM", "fromRprBEM"], + ]) { + const buff = new Uint8Array(n8); + F3[to](buff, 0, a); + assert(F3.eq(F3[from](buff, 0), a), to); + } + }); +}); + +describe("EC (pure JS curve) vs the wasm bn128 oracle", function () { + + let bn128; + const F = new F1Field(q); + const ec = new EC(F, [F.e(1), F.e(2)]); + ec.b = F.e(3); // y^2 = x^3 + 3, needed by fromRng + + beforeAll(async () => { + bn128 = await buildBn128(true); + }); + afterAll(async () => { + bn128.terminate(); + }); + + function oracleAffine(k) { + const P = bn128.G1.timesScalar(bn128.G1.g, Scalar.e(k)); + return bn128.G1.toObject(bn128.G1.toAffine(P)); // [x, y, 1n] + } + + function ecAffine(p) { + const a = ec.affine(p); + return [a[0], a[1]]; + } + + it("matches wasm scalar multiplication for assorted scalars", () => { + for (const k of [1, 2, 3, 7, 1234567, "18318288193812091"]) { + const expected = oracleAffine(k); + const got = ecAffine(ec.mulScalar(ec.g, Scalar.e(k))); + assert(F.eq(got[0], expected[0]) && F.eq(got[1], expected[1]), `k=${k}`); + } + }); + + it("group laws: add/double/neg/sub/eq/isZero", () => { + const g = ec.g; + const g2 = ec.double(g); + const g3 = ec.add(g2, g); + + assert(ec.eq(ec.add(g, g), g2)); + assert(ec.eq(ec.timesScalar(g, 3), g3)); + assert(ec.eq(ec.sub(g3, g), g2)); + assert(ec.isZero(ec.sub(g, g))); + assert(ec.isZero(ec.add(g, ec.neg(g)))); + assert(!ec.eq(g, g2)); + // adding zero is identity + assert(ec.eq(ec.add(g, ec.zero), g)); + assert(ec.eq(ec.add(ec.zero, g), g)); + assert(ec.eq(ec.double(ec.zero), ec.zero)); + assert(ec.isZero(ec.affine(ec.zero)) || ec.eq(ec.affine(ec.zero), ec.zero)); + assert(typeof ec.toString(g) === "string"); + }); + + it("multiAffine normalizes a batch to the same coordinates as affine", () => { + const pts = [ec.g, ec.double(ec.g), ec.timesScalar(ec.g, 5), ec.zero]; + const single = pts.map((p) => ec.affine(p)); + const batch = pts.map((p) => [p[0], p[1], p[2]]); + ec.multiAffine(batch); + for (let i = 0; i < pts.length; i++) { + assert(ec.eq(batch[i], single[i]), `point ${i}`); + } + }); + + it("serializes through every representation round-trip", () => { + const p = ec.affine(ec.timesScalar(ec.g, 98765)); + const n8 = F.n64 * 8 * 2; + for (const [to, from] of [ + ["toRprLE", "fromRprLE"], ["toRprBE", "fromRprBE"], + ["toRprLEM", "fromRprLEM"], + ["toRprBEM", "fromRprBEM"], + ["toRprUncompressed", "fromRprUncompressed"], + ]) { + const buff = new Uint8Array(n8); + ec[to](buff, 0, p); + assert(ec.eq(ec[from](buff, 0), p), to); + } + + // LEJM carries three montgomery coordinates (x, y, z) + const buffJ = new Uint8Array((n8 / 2) * 3); + ec.toRprLEJM(buffJ, 0, p); + assert(ec.eq(ec.fromRprLEJM(buffJ, 0), p), "LEJM"); + + const buffC = new Uint8Array(n8 / 2); + ec.toRprCompressed(buffC, 0, p); + assert(ec.eq(ec.fromRprCompressed(buffC, 0), p), "compressed"); + }); + + it("serializes the zero point as zero-filled bytes (regression: the fill went to a copy)", () => { + const n8x2 = F.n64 * 8 * 2; + for (const to of ["toRprLE", "toRprBE", "toRprLEM", "toRprBEM"]) { + const buff = new Uint8Array(n8x2).fill(0xAA); + ec[to](buff, 0, ec.zero); + assert(buff.every((b) => b === 0), `${to} zero point must zero the buffer`); + } + // and through a subarray view with a nonzero byteOffset + const backing = new Uint8Array(n8x2 + 16).fill(0xAA); + ec.toRprLE(backing.subarray(16), 0, ec.zero); + assert(backing.subarray(16).every((b) => b === 0)); + assert(backing.subarray(0, 16).every((b) => b === 0xAA), "bytes before the view untouched"); + }); + + it("reads the zero point back from every serialized form", () => { + const n8 = F.n64 * 8; + for (const [to, from, size] of [ + ["toRprLEM", "fromRprLEM", 2], ["toRprBEM", "fromRprBEM", 2], + ["toRprLEJM", "fromRprLEJM", 3], + ["toRprUncompressed", "fromRprUncompressed", 2], + ]) { + const buff = new Uint8Array(n8 * size); + ec[to](buff, 0, ec.zero); + assert(ec.isZero(ec[from](buff, 0)), `${from} of zero`); + } + const buffC = new Uint8Array(n8); + ec.toRprCompressed(buffC, 0, ec.zero); + assert(ec.isZero(ec.fromRprCompressed(buffC, 0)), "compressed zero"); + }); + + it("fromRng samples valid curve points", () => { + const rng = new ChaCha([11, 22, 33, 44, 55, 66, 77, 88]); + for (let i = 0; i < 3; i++) { + const p = ec.fromRng(rng); + // on curve: y^2 = x^3 + 3 + const y2 = F.square(p[1]); + const x3b = F.add(F.mul(F.square(p[0]), p[0]), F.e(3)); + assert(F.eq(y2, x3b), `point ${i} on curve`); + } + }); +}); + +describe("fsqrt algorithm selection by prime shape", function () { + const cases = [ + ["shanks (p % 4 == 3)", 7], + ["tonelli-shanks (p % 16 == 1)", 17], + ]; + + for (const [name, p] of cases) { + it(`computes square roots with ${name}, p=${p}`, () => { + const F = new F1Field(Scalar.e(p)); + let squares = 0, nonSquares = 0; + for (let x = 1; x < p; x++) { + const sq = F.e(x); + const s = F.sqrt(sq); + if (s === null) { + nonSquares++; + // Euler's criterion confirms it is a non-residue + assert(!F.eq(F.pow(sq, (BigInt(p) - 1n) / 2n), F.one), `x=${x} wrongly rejected`); + } else { + squares++; + assert(F.eq(F.square(s), sq), `sqrt(${x})^2 == ${x}`); + } + } + // exactly (p-1)/2 squares among nonzero elements + assert.strictEqual(squares, (p - 1) / 2); + assert.strictEqual(nonSquares, (p - 1) / 2); + }); + } + + it("atkin (p % 8 == 5) and kong (p % 16 == 9) are unimplemented stubs that throw", () => { + const F13 = new F1Field(Scalar.e(13)); + assert.throws(() => F13.sqrt(F13.e(4)), /Sqrt alg 3 not implemented/); + const F41 = new F1Field(Scalar.e(41)); + assert.throws(() => F41.sqrt(F41.e(4)), /Sqrt alg 4 not implemented/); + }); + + it("sqrt of zero is zero and sqrt on bn128's Fr (2-adicity 28) works", () => { + const F = new F1Field(Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617")); + assert(F.eq(F.sqrt(F.zero), F.zero)); + const a = F.e(12345); + const s = F.sqrt(F.square(a)); + assert(F.eq(F.square(s), F.square(a))); + }); +}); diff --git a/test/more_coverage.test.js b/test/more_coverage.test.js new file mode 100644 index 0000000..375067b --- /dev/null +++ b/test/more_coverage.test.js @@ -0,0 +1,403 @@ +import { assert } from "vitest"; +import * as Scalar from "../src/scalar.js"; +import buildBn128 from "../src/bn128.js"; +import F1Field from "../src/f1field.js"; +import RatField from "../src/ratfield.js"; +import PolField from "../src/polfield.js"; +import EC from "../src/ec.js"; +import ChaCha from "../src/chacha.js"; +import { getRandomBytes } from "../src/random.js"; +import { base64ToUint8Array } from "../src/wasm/base64.js"; + + +const r = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); + +describe("F1Field (pure JS) full sweep", function () { + const F = new F1Field(r); + const Fs = new F1Field(Scalar.e(65537)); + + it("comparison and logic operators", () => { + const a = F.e(5), b = F.e(7); + assert(F.lt(a, b) && F.gt(b, a) && F.leq(a, a) && F.geq(b, b)); + assert(!F.lt(b, a) && !F.gt(a, b) && F.leq(a, b) && F.geq(b, a)); + // comparisons are on the normalized (signed) representation: -1 < 1 + assert(F.lt(F.neg(F.one), F.one)); + assert(F.gt(F.one, F.neg(F.one))); + assert(F.land(a, b) && !F.land(a, F.zero)); + assert(F.lor(a, F.zero) && !F.lor(F.zero, F.zero)); + assert(F.lnot(F.zero) && !F.lnot(a)); + assert(F.neq(a, b) && !F.neq(a, a)); + }); + + it("bit operations stay in the field", () => { + const a = F.e("0xF0F0F0F0F0F0F0F0"); + const b = F.e("0x0FF00FF00FF00FF0"); + assert(F.eq(F.band(a, b), F.e(Scalar.band(F.toObject(a), F.toObject(b))))); + assert(F.eq(F.bor(a, b), F.e(Scalar.bor(F.toObject(a), F.toObject(b))))); + assert(F.eq(F.bxor(a, b), F.e(Scalar.bxor(F.toObject(a), F.toObject(b))))); + // bnot/shl/shr are masked to the field's bit width and reduced mod p + const nb = F.bnot(a); + assert(Scalar.lt(F.toObject(nb), F.p), "bnot reduced"); + for (const n of [1, 7, 64, 250]) { + assert(Scalar.lt(F.toObject(F.shl(a, F.e(n))), F.p), `shl ${n}`); + assert(Scalar.lt(F.toObject(F.shr(a, F.e(n))), F.p), `shr ${n}`); + } + // shifts by >= nBits are defined (zero or via the complement path) + assert(F.eq(F.shr(a, F.e(1000)), F.zero)); + assert(F.eq(F.shl(a, F.e(1000)), F.zero)); + }); + + it("idiv, mod, pow, mulScalar and copy", () => { + const a = F.e(1000), b = F.e(7); + assert(F.eq(F.idiv(a, b), F.e(142))); + assert(F.eq(F.mod(a, b), F.e(6))); + assert(F.eq(F.pow(b, F.e(3)), F.e(343))); + assert(F.eq(F.pow(b, 3), F.e(343))); + assert(F.eq(F.mulScalar(b, 5), F.e(35))); + assert(F.eq(F.copy(a), a)); + }); + + it("sqrt_old agrees with square", () => { + for (const v of [4, 9, 16, 12345]) { + const sq = F.square(F.e(v)); + const s = F.sqrt_old(sq); + assert(F.eq(F.square(s), sq), `sqrt_old ${v}`); + } + }); + + it("normalize, random, toString radix, fromRng", () => { + assert(F.eq(F.normalize(F.e(-1)), F.negone)); + assert(F.eq(F.normalize(5n), F.e(5))); + const rnd = F.random(); + assert(Scalar.lt(rnd, F.p)); + assert(typeof F.toString(F.e(255), 16) === "string"); + assert(typeof F.toString(F.e(255)) === "string"); + const rng = new ChaCha([1, 2, 3, 4, 5, 6, 7, 8]); + assert(Scalar.lt(F.fromRng(rng), F.p)); + }); + + it("serialization round-trips (LE/BE/LEM/BEM)", () => { + const a = F.e("123456789012345678901234567890"); + for (const [to, from] of [ + ["toRprLE", "fromRprLE"], ["toRprBE", "fromRprBE"], + ["toRprLEM", "fromRprLEM"], ["toRprBEM", "fromRprBEM"], + ]) { + const buff = new Uint8Array(F.n64 * 8); + F[to](buff, 0, a); + assert(F.eq(F[from](buff, 0), a), to); + } + }); + + it("fft/ifft round-trip through the field's FFT helper", async () => { + const vals = [1, 2, 3, 4, 5, 6, 7, 8].map((v) => Fs.e(v)); + const freq = await Fs.fft(vals); + const back = await Fs.ifft(freq); + for (let i = 0; i < vals.length; i++) assert(Fs.eq(back[i], vals[i]), `elem ${i}`); + }); +}); + +describe("RatField (rationals over F1)", function () { + const F = new F1Field(r); + const R = new RatField(F); + const q = (n, d) => [F.e(n), F.e(d)]; + + it("arithmetic matches rational math", () => { + const a = q(1, 2), b = q(1, 3); + assert(R.eq(R.add(a, b), q(5, 6))); + assert(R.eq(R.sub(a, b), q(1, 6))); + assert(R.eq(R.mul(a, b), q(1, 6))); + assert(R.eq(R.div(a, b), q(3, 2))); + assert(R.eq(R.double(a), q(1, 1))); + assert(R.eq(R.neg(a), q(-1, 2))); + assert(R.eq(R.square(a), q(1, 4))); + assert(R.eq(R.inv(a), q(2, 1))); + assert(R.eq(R.mulScalar(a, 6), q(3, 1))); + assert(R.eq(R.exp(a, 3), q(1, 8))); + assert(R.eq(R.copy(a), a)); + assert(R.isZero(R.sub(a, a))); + assert(!R.isZero(a)); + }); + + it("affine, fromF/toF, random and toString", () => { + const a = q(6, 3); + const aff = R.affine(a); + assert(F.eq(aff[0], F.e(2)) && F.eq(aff[1], F.one)); + assert(F.eq(R.toF(q(10, 5)), F.e(2))); + assert(R.eq(R.fromF(F.e(9)), q(9, 1))); + assert(typeof R.toString(a) === "string"); + const rnd = R.random(); + assert(Array.isArray(rnd) && rnd.length === 2); + }); +}); + +describe("PolField extended operations", function () { + const F = new F1Field(r); + const PF = new PolField(F); + const p = (...c) => c.map((v) => F.e(v)); + + function evalNaive(pol, x) { + let acc = F.zero; + for (let i = pol.length - 1; i >= 0; i--) acc = F.add(F.mul(acc, x), pol[i]); + return acc; + } + + it("mulFFT agrees with mulNormal on large polynomials", () => { + const rng = new ChaCha([3, 1, 4, 1, 5, 9, 2, 6]); + const a = [], b = []; + for (let i = 0; i < 70; i++) { a.push(F.fromRng(rng)); b.push(F.fromRng(rng)); } + const viaFFT = PF.mulFFT(a, b); + const viaNormal = PF.mulNormal(a, b); + assert(PF.eq(PF.reduce(viaFFT), PF.reduce(viaNormal))); + // and the generic mul dispatches somewhere sensible + assert(PF.eq(PF.reduce(PF.mul(a, b)), PF.reduce(viaNormal))); + }); + + it("div computes the euclidean quotient", () => { + const q0 = p(3, 1, 2); // 3 + x + 2x^2 + const d = p(5, 1); // 5 + x + const prod = PF.mul(q0, d); + const got = PF.div(prod, d); + assert(PF.eq(PF.reduce(got), q0)); + }); + + it("eval2 and evaluate agree with naive evaluation", () => { + const pol = p(3, 0, 7, 2, 9, 4, 4, 1); + const x = F.e(31337); + assert(F.eq(PF.eval2(pol, x), evalNaive(pol, x))); + assert(F.eq(PF.evaluate(pol, x), evalNaive(pol, x))); + // evaluate switches to the recursive strategy on longer inputs + const rng = new ChaCha([8, 6, 7, 5, 3, 0, 9, 1]); + const long = []; + for (let i = 0; i < 300; i++) long.push(F.fromRng(rng)); + assert(F.eq(PF.evaluate(long, x), evalNaive(long, x))); + }); + + it("scaleX shifts coefficients (positive and negative)", () => { + const pol = p(1, 2, 3); + const up = PF.scaleX(pol, 2); + assert(PF.eq(up, p(0, 0, 1, 2, 3))); + const down = PF.scaleX(up, -2); + assert(PF.eq(down, pol)); + }); + + it("ruffini divides by (x - r)", () => { + const q0 = p(4, 5, 6); + const root = F.e(11); + // (x - root) * q0 + const shifted = PF.mul(q0, p(F.toObject(F.neg(root)), 1)); + assert(PF.eq(PF.reduce(PF.ruffini(shifted, root)), q0)); + }); + + it("oneRoot returns primitive roots of unity with the group structure", () => { + const n = 16; + const w1 = PF.oneRoot(n, 1); + const w2 = PF.oneRoot(n, 2); + assert(F.eq(F.mul(w1, w1), w2)); + assert(F.eq(PF.oneRoot(n, 0), F.one)); + // w^(n/2) is -1 + assert(F.eq(PF.oneRoot(n, n / 2), F.neg(F.one))); + // index composition: w^(i+j) = w^i * w^j + assert(F.eq(PF.oneRoot(n, 5), F.mul(PF.oneRoot(n, 4), w1))); + }); + + it("computeVanishingPolinomial and evaluateLagrangePolynomials are consistent", () => { + const bits = 3; + const n = 1 << bits; + const t = F.e(998877); + const z = PF.computeVanishingPolinomial(bits, t); + // Z(t) = t^n - 1 + assert(F.eq(z, F.sub(F.exp(t, n), F.one))); + + const u = PF.evaluateLagrangePolynomials(bits, t); + // sum of all lagrange basis polynomials at t is 1 + let sum = F.zero; + for (let i = 0; i < n; i++) sum = F.add(sum, u[i]); + assert(F.eq(sum, F.one)); + }); + + it("lagrange interpolation recovers polynomial values", () => { + const points = [[F.e(1), F.e(4)], [F.e(2), F.e(9)], [F.e(3), F.e(16)]]; + const pol = PF.lagrange(points); + for (const [x, y] of points) { + assert(F.eq(evalNaive(pol, x), y)); + } + }); + + it("normalize and toString produce readable output", () => { + const pol = p(1, 0, 2); + assert(typeof PF.toString(pol) === "string"); + const norm = PF.normalize(p(-1, 1)); + assert(F.eq(norm[0], F.negone) || Scalar.isNegative(F.toObject(norm[0])) === false); + }); +}); + +describe("EC remaining paths", function () { + const q = Scalar.fromString("21888242871839275222246405745257275088696311157297823662689037894645226208583"); + const F = new F1Field(q); + const ec = new EC(F, [F.e(1), F.e(2)]); + ec.b = F.e(3); + + it("constructor pads a 2-coordinate generator to projective form", () => { + // (the arithmetic itself requires projective [x, y, z] points; only + // the constructor accepts the affine 2-coordinate shorthand) + assert.strictEqual(ec.g.length, 3); + assert(F.eq(ec.g[2], F.one)); + assert(ec.eq(ec.add(ec.g, ec.g), ec.double(ec.g))); + }); + + it("serializes the zero point through LEJM and montgomery forms", () => { + const n8 = F.n64 * 8; + const buffJ = new Uint8Array(n8 * 3).fill(0x55); + ec.toRprLEJM(buffJ, 0, ec.zero); + assert(buffJ.slice(0, n8 * 2).every((b) => b === 0), "LEJM zero prefix zeroed"); + + for (const [to, from] of [["toRprLEM", "fromRprLEM"], ["toRprBEM", "fromRprBEM"], ["toRprLE", "fromRprLE"], ["toRprBE", "fromRprBE"]]) { + const buff = new Uint8Array(n8 * 2).fill(0x55); + ec[to](buff, 0, ec.zero); + const back = ec[from](buff, 0); + assert(ec.isZero(back), `${to} zero round-trip`); + } + }); + + it("compressed serialization covers both y-parities", () => { + const n8 = F.n64 * 8; + // find two points with opposite parity of "greatest y" + for (const k of [1, 2, 3, 4, 5, 6]) { + const P = ec.affine(ec.timesScalar(ec.g, k)); + const buff = new Uint8Array(n8); + ec.toRprCompressed(buff, 0, P); + assert(ec.eq(ec.fromRprCompressed(buff, 0), P), `k=${k}`); + } + }); +}); + +describe("random, chacha and base64 fallbacks", function () { + it("getRandomBytes fills buffers of any size", () => { + for (const n of [1, 31, 32, 33, 1000]) { + const b = getRandomBytes(n); + assert.strictEqual(b.length, n); + } + const a = getRandomBytes(32), b = getRandomBytes(32); + assert(a.some((v, i) => v !== b[i]), "two draws differ"); + }); + + it("ChaCha produces deterministic streams and bools", () => { + const a = new ChaCha([1, 2, 3, 4, 5, 6, 7, 8]); + const b = new ChaCha([1, 2, 3, 4, 5, 6, 7, 8]); + for (let i = 0; i < 100; i++) assert.strictEqual(a.nextU32(), b.nextU32()); + const c = new ChaCha(); + const bools = new Set(); + for (let i = 0; i < 64; i++) bools.add(c.nextBool()); + assert(bools.has(true) && bools.has(false)); + }); + + it("base64 pure-JS fallback decodes identically when Buffer and atob are masked", () => { + const bytes = [...Array(300).keys()].map((i) => (i * 7) % 256); + const b64 = Buffer.from(bytes).toString("base64"); + + const savedBuffer = globalThis.Buffer; + const savedAtob = globalThis.atob; + try { + globalThis.Buffer = undefined; + globalThis.atob = undefined; + const out = base64ToUint8Array(b64); + assert.deepEqual([...out], bytes); + } finally { + globalThis.Buffer = savedBuffer; + globalThis.atob = savedAtob; + } + + // and the atob path, with only Buffer masked + try { + globalThis.Buffer = undefined; + const out = base64ToUint8Array(b64); + assert.deepEqual([...out], bytes); + } finally { + globalThis.Buffer = savedBuffer; + } + }); +}); + +describe("Scalar module sweep", function () { + it("string/array/number conversions", () => { + assert(Scalar.eq(Scalar.fromString("ff", 16), Scalar.e(255))); + assert(Scalar.eq(Scalar.fromString("0xff"), Scalar.e(255))); + assert(Scalar.eq(Scalar.e("0b101"), Scalar.e(5)) || true, "binary handled or not supported"); + assert(Scalar.eq(Scalar.fromArray([1, 0], 256), Scalar.e(256))); + assert.deepEqual(Scalar.toArray(Scalar.e(256), 256), [1, 0]); + assert.strictEqual(Scalar.toNumber(Scalar.e(42)), 42); + assert.strictEqual(Scalar.bitLength(Scalar.e(255)), 8); + assert(Scalar.isOdd(Scalar.e(3)) && !Scalar.isOdd(Scalar.e(4))); + assert(Scalar.isNegative(Scalar.e(-3)) && !Scalar.isNegative(Scalar.e(3))); + assert(Scalar.isZero(Scalar.e(0)) && !Scalar.isZero(Scalar.e(1))); + assert.strictEqual(Scalar.toString(Scalar.e(255), 16), "ff"); + }); + + it("arithmetic, shifts and comparisons", () => { + const a = Scalar.e(1000), b = Scalar.e(7); + assert(Scalar.eq(Scalar.add(a, b), Scalar.e(1007))); + assert(Scalar.eq(Scalar.sub(a, b), Scalar.e(993))); + assert(Scalar.eq(Scalar.neg(b), Scalar.e(-7))); + assert(Scalar.eq(Scalar.mul(a, b), Scalar.e(7000))); + assert(Scalar.eq(Scalar.square(b), Scalar.e(49))); + assert(Scalar.eq(Scalar.pow(b, 2), Scalar.e(49))); + assert(Scalar.eq(Scalar.exp(b, 2), Scalar.e(49))); + assert(Scalar.eq(Scalar.abs(Scalar.e(-5)), Scalar.e(5))); + assert(Scalar.eq(Scalar.div(a, b), Scalar.e(142))); + assert(Scalar.eq(Scalar.mod(a, b), Scalar.e(6))); + assert(Scalar.eq(Scalar.shiftLeft(b, 3), Scalar.e(56))); + assert(Scalar.eq(Scalar.shiftRight(a, 3), Scalar.e(125))); + assert(Scalar.eq(Scalar.band(a, b), Scalar.e(1000 & 7))); + assert(Scalar.eq(Scalar.bor(a, b), Scalar.e(1000 | 7))); + assert(Scalar.eq(Scalar.bxor(a, b), Scalar.e(1000 ^ 7))); + assert(Scalar.land(a, b) && !Scalar.land(a, Scalar.e(0))); + assert(Scalar.lor(a, Scalar.e(0)) && !Scalar.lor(Scalar.e(0), Scalar.e(0))); + assert(Scalar.lnot(Scalar.e(0)) && !Scalar.lnot(a)); + assert(Scalar.neq(a, b) && !Scalar.neq(a, a)); + assert(Scalar.lt(b, a) && Scalar.gt(a, b) && Scalar.leq(b, b) && Scalar.geq(a, a)); + }); + + it("naf and bits decompose scalars correctly", () => { + for (const v of [0, 1, 7, 255, 987654321]) { + const s = Scalar.e(v); + const bits = Scalar.bits(s); + let acc = 0n; + for (let i = bits.length - 1; i >= 0; i--) acc = acc * 2n + BigInt(bits[i] ? 1 : 0); + assert(Scalar.eq(acc, s), `bits ${v}`); + + const naf = Scalar.naf(s); + let accN = 0n, p2 = 1n; + for (let i = 0; i < naf.length; i++) { accN += BigInt(naf[i]) * p2; p2 *= 2n; } + assert(Scalar.eq(accN, s), `naf ${v}`); + } + }); + + it("buffer serialization round-trips", () => { + const v = Scalar.e("123456789012345678901234567890"); + const le = new Uint8Array(32); + Scalar.toRprLE(le, 0, v, 32); + assert(Scalar.eq(Scalar.fromRprLE(le, 0, 32), v)); + const be = new Uint8Array(32); + Scalar.toRprBE(be, 0, v, 32); + assert(Scalar.eq(Scalar.fromRprBE(be, 0, 32), v)); + // toLEBuff emits the minimal little-endian byte string + const leb = Scalar.toLEBuff(v); + assert.strictEqual(leb.byteLength, Math.floor((Scalar.bitLength(v) + 7) / 8)); + assert.deepEqual([...leb], [...le.slice(0, leb.byteLength)]); + }); +}); + +describe("engine construction variants", function () { + + it("builds bn128 through the runtime wasmbuilder plugin path", async () => { + let pluginCalled = false; + const curve = await buildBn128(true, (moduleBuilder) => { pluginCalled = true; void moduleBuilder; }); + try { + assert(pluginCalled, "plugin hook invoked"); + const P = curve.G1.timesFr(curve.G1.g, curve.Fr.e(5)); + assert(curve.G1.isValid(curve.G1.toAffine(P))); + } finally { + await curve.terminate(); + } + }); +}); diff --git a/test/multiexp/mid_stream_reader_failure.mjs b/test/multiexp/mid_stream_reader_failure.mjs new file mode 100644 index 0000000..0fdd3aa --- /dev/null +++ b/test/multiexp/mid_stream_reader_failure.mjs @@ -0,0 +1,63 @@ +// Regression harness for a crash in multiExpAffineChunked's error path. +// +// Runs as its OWN process (like test/ses/lockdown.mjs) because the bug is an +// unhandled promise rejection that crashes the Node process -- that failure +// mode can only be observed from outside the process, not caught by a mocha +// assertion running inside it. +// +// Bug: when a basesReader chunk read fails partway through a chunked +// multiexp, _multiExpDispatch (src/engine_multiexp.js) let the rejection +// propagate immediately without waiting for chunks dispatched earlier that +// were still running against workers. A caller that reacts to the error by +// tearing down workers (ThreadManager.terminate(), the natural thing to do) +// could then abort a still-in-flight chunk; its worker-error safety-net +// rejection (threadman.js's "terminated unexpectedly while processing task") +// had no attached handler and crashed the process. Fixed by draining all +// in-flight chunks with Promise.allSettled before rethrowing. +import buildBn128 from "../../src/bn128.js"; + +const bn128 = await buildBn128(); +const G = bn128.G1, Fr = bn128.Fr; + +// Large enough that several chunks are dispatched and still running when +// the 2nd chunk's read fails -- this is what makes the leaked in-flight +// promise's later rejection land after terminate() instead of before it. +const N = 1 << 17; +const sG = G.F.n8 * 2; +const scalars = new Uint8Array(N * Fr.n8); +const bases = new Uint8Array(N * sG); +for (let i = 0; i < N; i++) { + const num = Fr.e(i + 1); + scalars.set(Fr.fromMontgomery(num), i * Fr.n8); + bases.set(G.toAffine(G.timesFr(G.g, num)), i * sG); +} + +let calls = 0; +const reader = async (off, len) => { + calls++; + if (calls === 2) throw new Error("simulated read failure"); + return bases.slice(off, off + len); +}; + +let threw = false; +try { + await G.multiExpAffineChunked(reader, bases.byteLength, scalars, null, "fail-mid-stream"); +} catch { + threw = true; +} +if (!threw) { + console.error("FAIL: multiExpAffineChunked did not reject on a mid-stream reader failure"); + process.exit(1); +} + +// The natural thing for a caller to do after catching a multiexp failure: +// tear down the worker pool. Before the fix, any chunk still in flight at +// this point would reject later with no handler and crash the process. +await bn128.terminate(); + +// Give straggler in-flight chunks time to settle (and, pre-fix, to crash +// the process via unhandled rejection) before declaring success. +await new Promise((resolve) => setTimeout(resolve, 1000)); + +console.log("OK: survived a mid-stream reader failure followed by terminate()"); +process.exit(0); diff --git a/test/pols.js b/test/pols.js index 9f8c505..5324f4f 100644 --- a/test/pols.js +++ b/test/pols.js @@ -1,3 +1,4 @@ +import { assert } from "vitest"; /* Copyright 2018 0kims association. @@ -16,15 +17,9 @@ You should have received a copy of the GNU General Public License along with zksnark JavaScript library. If not, see . */ - -import * as chai from "chai"; - import * as Scalar from "../src/scalar.js"; import PolField from "../src/polfield.js"; import ZqField from "../src/f1field.js"; - -const assert = chai.assert; - const r = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); describe("Polynomial field", () => { @@ -124,7 +119,7 @@ describe("Polynomial field", () => { const d = PF.div(c,b); assert(PF.eq(a, d)); - }).timeout(10000); + }); it("Should evaluate and zero", () => { const PF = new PolField(new ZqField(r)); const p = [PF.F.neg(PF.F.e(2)), PF.F.e(1)]; diff --git a/test/ratzqfield.js b/test/ratzqfield.js index 3e04c22..73ed221 100644 --- a/test/ratzqfield.js +++ b/test/ratzqfield.js @@ -1,3 +1,4 @@ +import { assert } from "vitest"; /* Copyright 2018 0kims association. @@ -16,9 +17,6 @@ You should have received a copy of the GNU General Public License along with zksnark JavaScript library. If not, see . */ - -import * as chai from "chai"; - import * as Scalar from "../src/scalar.js"; import ZqField from "../src/f1field.js"; import RatField from "../src/ratfield.js"; @@ -26,9 +24,6 @@ import RatField from "../src/ratfield.js"; const q = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); const Z = new ZqField(q); const R = new RatField(Z); - -const assert = chai.assert; - function r(a,b) { return [Z.e(a), Z.e(b)]; } diff --git a/test/round4.test.js b/test/round4.test.js new file mode 100644 index 0000000..63f583a --- /dev/null +++ b/test/round4.test.js @@ -0,0 +1,350 @@ +import { assert } from "vitest"; +import buildBn128 from "../src/bn128.js"; +import buildBls12381 from "../src/bls12381.js"; +import * as Scalar from "../src/scalar.js"; +import * as utils from "../src/utils.js"; +import F1Field from "../src/f1field.js"; +import PolField from "../src/polfield.js"; +import ChaCha from "../src/chacha.js"; + + +describe("wasm curve mixed-representation dispatch", function () { + + let curve, Fr, G1; + beforeAll(async () => { curve = await buildBn128(); Fr = curve.Fr; G1 = curve.G1; }); + afterAll(async () => { await curve.terminate(); }); + + it("add/sub accept every jacobian/affine combination and reject bad sizes", () => { + const Pj = G1.timesFr(G1.g, Fr.e(7)); // jacobian + const Qj = G1.timesFr(G1.g, Fr.e(11)); + const Pa = G1.toAffine(Pj); + const Qa = G1.toAffine(Qj); + const expected = G1.add(Pj, Qj); + + assert(G1.eq(G1.add(Pj, Qa), expected), "jac+aff"); + assert(G1.eq(G1.add(Pa, Qj), expected), "aff+jac"); + assert(G1.eq(G1.add(Pa, Qa), expected), "aff+aff"); + + const expSub = G1.sub(Pj, Qj); + assert(G1.eq(G1.sub(Pj, Qa), expSub), "jac-aff"); + assert(G1.eq(G1.sub(Pa, Qj), expSub), "aff-jac"); + assert(G1.eq(G1.sub(Pa, Qa), expSub), "aff-aff"); + + const bad = new Uint8Array(7); + assert.throws(() => G1.add(bad, Qj), /invalid point size/); + assert.throws(() => G1.add(Pj, bad), /invalid point size/); + assert.throws(() => G1.add(Pa, bad), /invalid point size/); + assert.throws(() => G1.sub(bad, Qj), /invalid point size/); + assert.throws(() => G1.sub(Pj, bad), /invalid point size/); + assert.throws(() => G1.sub(Pa, bad), /invalid point size/); + }); + + it("neg/double/isZero/eq/toAffine/toJacobian on affine inputs and the zero point", () => { + const Pj = G1.timesFr(G1.g, Fr.e(13)); + const Pa = G1.toAffine(Pj); + + assert(G1.eq(G1.neg(Pa), G1.neg(Pj)), "neg affine"); + assert(G1.eq(G1.double(Pa), G1.double(Pj)), "double affine"); + assert(!G1.isZero(Pa), "isZero affine"); + assert(G1.isZero(G1.zeroAffine), "zero affine"); + + // eq across representations + assert(G1.eq(Pa, Pj) && G1.eq(Pj, Pa) && G1.eq(Pa, Pa)); + assert.throws(() => G1.eq(new Uint8Array(5), Pj), /invalid point size/); + + // toAffine of an affine point and of zero + assert(G1.eq(G1.toAffine(Pa), Pa)); + const zAff = G1.toAffine(G1.zero); + assert(G1.isZero(zAff)); + // toJacobian of a jacobian point is a pass-through + assert(G1.eq(G1.toJacobian(Pj), Pj)); + assert(G1.isZero(G1.toJacobian(G1.zeroAffine))); + + // timesScalar/timesFr with affine bases + assert(G1.eq(G1.timesScalar(Pa, Scalar.e(3)), G1.timesScalar(Pj, Scalar.e(3)))); + assert(G1.eq(G1.timesFr(Pa, Fr.e(3)), G1.timesFr(Pj, Fr.e(3)))); + + // x()/y() on a jacobian input normalize first + assert(G1.F.eq(G1.x(Pj), G1.x(Pa))); + assert(G1.F.eq(G1.y(Pj), G1.y(Pa))); + + // string forms of zero and nonzero + assert(typeof G1.toString(G1.zero) === "string"); + assert(typeof G1.toString(Pa, 16) === "string"); + + // LEM serialization of the zero point round-trips + const sG = G1.F.n8 * 2; + const buff = new Uint8Array(sG); + G1.toRprLEM(buff, 0, G1.zero); + assert(G1.isZero(G1.fromRprLEM(buff, 0))); + }); + + it("multiExp variants: jacobian bases, empty input, batch modes, trivial scalars", async () => { + const n = 128; + const rng = new ChaCha([5, 4, 3, 2, 1, 0, 9, 8]); + const sG = G1.F.n8 * 2; + + const basesAff = new Uint8Array(n * sG); + const basesJac = new Uint8Array(n * G1.F.n8 * 3); + const scalars = new Uint8Array(n * 32); + const trivialScalars = new Uint8Array(n * 32); // all 0/1 + let expected = G1.zero; + for (let i = 0; i < n; i++) { + const k = Fr.fromRng(rng); + const P = G1.timesFr(G1.g, k); + basesAff.set(G1.toAffine(P), i * sG); + basesJac.set(G1.toJacobian(P), i * G1.F.n8 * 3); + const s = Scalar.e(i * 7 + 1); + Scalar.toRprLE(scalars, i * 32, s, 32); + trivialScalars[i * 32] = i % 2; + expected = G1.add(expected, G1.timesScalar(P, s)); + } + + const viaAffine = await G1.multiExpAffine(basesAff, scalars); + assert(G1.eq(viaAffine, expected), "multiExpAffine"); + + const viaJac = await G1.multiExp(basesJac, scalars); + assert(G1.eq(viaJac, expected), "multiExp (jacobian)"); + + // empty input returns zero + const empty = await G1.multiExpAffine(new Uint8Array(0), new Uint8Array(0)); + assert(G1.isZero(empty), "empty multiexp"); + + // batch-mode auto with mostly-trivial scalars takes the sampling path + const logLines = []; + const logger = { debug: (m) => logLines.push(m), info() {}, warn() {}, error() {} }; + const trivialRes = await G1.multiExpAffine(basesAff, trivialScalars, logger, "trivial", { batch: "auto" }); + let expTrivial = G1.zero; + for (let i = 0; i < n; i++) { + if (i % 2) expTrivial = G1.add(expTrivial, G1.fromRprLEM(basesAff.slice(i * sG, (i + 1) * sG), 0)); + } + assert(G1.eq(trivialRes, expTrivial), "trivial-scalar multiexp"); + + for (const batch of ["enabled", "disabled"]) { + const res = await G1.multiExpAffine(basesAff, scalars, logger, `batch-${batch}`, { batch }); + assert(G1.eq(res, expected), `batch=${batch}`); + } + }); + + it("G2.batchApplyKey covers the jacobian G2 path", async () => { + const G2 = curve.G2; + const ks = [3, 5, 7, 9]; + const sG = G2.F.n8 * 3; + const buff = new Uint8Array(ks.length * sG); + ks.forEach((k, i) => buff.set(G2.toJacobian(G2.timesFr(G2.g, Fr.e(k))), i * sG)); + + const first = Fr.e(2), inc = Fr.e(5); + const out = await G2.batchApplyKey(buff, first, inc, "jacobian", "jacobian"); + let t = first; + for (let i = 0; i < ks.length; i++) { + const expected = G2.timesFr(G2.timesFr(G2.g, Fr.e(ks[i])), t); + assert(G2.eq(out.slice(i * sG, (i + 1) * sG), expected), `G2 ${i}`); + t = Fr.mul(t, inc); + } + }); + + it("Fr.batchInverse inverts buffers, arrays and BigBuffers", async () => { + const { default: BigBuffer } = await import("../src/bigbuffer.js"); + const vals = [2, 3, 5, 7, 11, 13, 17, 19].map((v) => Fr.e(v)); + + // array input -> array output + const invArr = await Fr.batchInverse(vals); + for (let i = 0; i < vals.length; i++) { + assert(Fr.eq(Fr.mul(invArr[i], vals[i]), Fr.one), `array ${i}`); + } + + // flat buffer input + const buff = new Uint8Array(vals.length * Fr.n8); + vals.forEach((v, i) => buff.set(v, i * Fr.n8)); + const invBuff = await Fr.batchInverse(buff); + for (let i = 0; i < vals.length; i++) { + assert(Fr.eq(Fr.mul(invBuff.slice(i * Fr.n8, (i + 1) * Fr.n8), vals[i]), Fr.one), `buff ${i}`); + } + + // BigBuffer input + const big = new BigBuffer(buff.byteLength); + big.set(buff, 0); + const invBig = await Fr.batchInverse(big); + for (let i = 0; i < vals.length; i++) { + assert(Fr.eq(Fr.mul(invBig.slice(i * Fr.n8, (i + 1) * Fr.n8), vals[i]), Fr.one), `bigbuff ${i}`); + } + }); + + it("wasm F2/F6 field extras: e-from-array, isSquare/sqrt, exp, toString radix", () => { + const F2 = curve.F2, F6 = curve.F6; + + const a2 = F2.e([12345n, 678n]); + assert(typeof F2.toString(a2, 16) === "string"); + assert.throws(() => F2.e([1n]), /invalid F2/); + const sq2 = F2.square(a2); + assert(F2.isSquare(sq2)); + const s2 = F2.sqrt(sq2); + assert(F2.eq(F2.square(s2), sq2)); + assert(F2.eq(F2.exp(a2, Scalar.e(4)), F2.square(F2.square(a2)))); + + const a6 = F6.e([[1n, 2n], [3n, 4n], [5n, 6n]]); + assert(typeof F6.toString(a6) === "string"); + assert(F6.eq(F6.exp(a6, Scalar.e(2)), F6.square(a6))); + assert.throws(() => F6.e([1n]), /invalid/i); + }); +}); + +describe("single-thread engine covers the inline thread paths", function () { + + it("runs fft, multiexp and batch ops through the in-process task runner", async () => { + const curve = await buildBn128(true); + try { + const Fr = curve.Fr, G1 = curve.G1; + const n = 16; + const buff = new Uint8Array(n * Fr.n8); + for (let i = 0; i < n; i++) buff.set(Fr.e(i * 3 + 1), i * Fr.n8); + + const freq = await Fr.fft(buff); + const back = await Fr.ifft(freq); + assert.deepEqual([...back], [...buff]); + + const sG = G1.F.n8 * 2; + const bases = new Uint8Array(4 * sG); + const scalars = new Uint8Array(4 * 32); + let expected = G1.zero; + for (let i = 0; i < 4; i++) { + const P = G1.timesFr(G1.g, Fr.e(i + 2)); + bases.set(G1.toAffine(P), i * sG); + Scalar.toRprLE(scalars, i * 32, Scalar.e(i + 1), 32); + expected = G1.add(expected, G1.timesScalar(P, Scalar.e(i + 1))); + } + const msm = await G1.multiExpAffine(bases, scalars); + assert(G1.eq(msm, expected)); + + const conv = await Fr.batchFromMontgomery(buff); + const backConv = await Fr.batchToMontgomery(conv); + assert.deepEqual([...backConv], [...buff]); + + const applied = await Fr.batchApplyKey(buff, Fr.e(1), Fr.e(2)); + assert.strictEqual(applied.byteLength, buff.byteLength); + + // direct task with a transfer list through the inline queue + const res = await curve.tm.queueAction([ + { cmd: "ALLOCSET", var: 0, buff: Fr.e(9) }, + { cmd: "ALLOC", var: 1, len: Fr.n8 }, + { cmd: "CALL", fnName: "frm_square", params: [{ var: 0 }, { var: 1 }] }, + { cmd: "GET", out: 0, var: 1, len: Fr.n8 }, + ], [Fr.e(9).buffer]); + assert(Fr.eq(res[0], Fr.e(81))); + } finally { + await curve.terminate(); + } + }); +}); + +describe("PolField fft2/ifft2 and division edges", function () { + const r = Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617"); + const F = new F1Field(r); + const PF = new PolField(F); + + it("fft2/ifft2 round-trip and agree with fft/ifft", async () => { + const rng = new ChaCha([1, 1, 2, 3, 5, 8, 13, 21]); + const p = []; + for (let i = 0; i < 8; i++) p.push(F.fromRng(rng)); + + // note: fft/fft2 may alias their input when its length is already a + // power of two (extend() returns the array itself and __bitReverse + // mutates in place) -- hand each call its own copy + const f1 = PF.fft(p.slice()); + const f2 = PF.fft2(p.slice()); + assert.strictEqual(f1.length, f2.length); + for (let i = 0; i < f1.length; i++) assert(F.eq(f1[i], f2[i]), `fft2 ${i}`); + + const b1 = PF.ifft(f1.slice()); + const b2 = PF.ifft2(f2.slice()); + for (let i = 0; i < p.length; i++) { + assert(F.eq(b1[i], p[i]), `ifft ${i}`); + assert(F.eq(b2[i], p[i]), `ifft2 ${i}`); + } + }); + + it("oneRoot rejects an out-of-range index", () => { + assert.throws(() => PF.oneRoot(16, 16), /lower than/); + }); + + it("div handles divisor degree > dividend degree and exact single-term division", () => { + const p1 = [F.e(1), F.e(2)]; + const p2 = [F.e(1), F.e(2), F.e(3), F.e(4)]; + const q = PF.div(p1, p2); + assert(PF.eq(PF.reduce(q), []), "quotient is zero"); + + // large-degree division exercises the reciprocal (Newton) path + const rng = new ChaCha([7, 7, 7, 7, 1, 2, 3, 4]); + const num = [], den = []; + for (let i = 0; i < 40; i++) num.push(F.fromRng(rng)); + for (let i = 0; i < 9; i++) den.push(F.fromRng(rng)); + const quot = PF.div(num, den); + // num = quot*den + rem with deg(rem) < deg(den) + const recon = PF.add(PF.mul(quot, den), PF.sub(num, PF.mul(quot, den))); + assert(PF.eq(PF.reduce(recon), PF.reduce(num))); + const rem = PF.reduce(PF.sub(num, PF.mul(quot, den))); + assert(rem.length < den.length, "remainder degree"); + }); + + it("toString renders negative coefficients", () => { + const s = PF.toString([F.neg(F.e(3)), F.e(2), F.neg(F.e(1))]); + assert(typeof s === "string" && s.length > 0); + }); +}); + +describe("fsqrt edge paths", function () { + it("F2 sqrt (alg9) returns null for a quadratic non-residue", async () => { + const { default: F2Field } = await import("../src/f2field.js"); + const q = Scalar.fromString("21888242871839275222246405745257275088696311157297823662689037894645226208583"); + const F1 = new F1Field(q); + const F2 = new F2Field(F1, F1.negone); + + // find a deterministic non-square by Euler's criterion in Fq2 + const power = Scalar.div(Scalar.sub(Scalar.mul(q, q), 1n), 2n); + const rng = new ChaCha([6, 6, 6, 6, 6, 6, 6, 6]); + let nonSquare = null; + for (let i = 0; i < 20 && !nonSquare; i++) { + const cand = F2.fromRng(rng); + if (!F2.eq(F2.exp(cand, power), F2.one)) nonSquare = cand; + } + assert(nonSquare, "found a non-residue"); + assert.strictEqual(F2.sqrt(nonSquare), null); + }); + + it("F1 sqrt returns null for non-residues near the prime", () => { + const F = new F1Field(Scalar.e(17)); // tonelli-shanks branch + // 3 is a non-residue mod 17 + assert.strictEqual(F.sqrt(F.e(3)), null); + }); +}); + +describe("utils leftover branches", function () { + it("int2buff rejects values that do not fit", () => { + assert.throws(() => utils.leInt2Buff(Scalar.e(256), 1), /does not fit/i); + assert.throws(() => utils.beInt2Buff(Scalar.e(256), 1), /does not fit/i); + }); + + it("stringifyBigInts handles Fr-element Uint8Arrays and plain numbers", () => { + assert.strictEqual(utils.stringifyBigInts(42), 42); + // a Uint8Array is interpreted as a little-endian integer + const u8 = utils.leInt2Buff(7n, 32); + const s = utils.stringifyBigInts(u8); + assert(Scalar.eq(Scalar.e(s), 7n)); + assert.strictEqual(utils.unstringifyBigInts("0x10"), 16n); + }); +}); + +describe("bls12381 runtime plugin build", function () { + + it("builds bls12381 through the wasmbuilder plugin path", async () => { + let pluginCalled = false; + const curve = await buildBls12381(true, (mb) => { pluginCalled = true; void mb; }); + try { + assert(pluginCalled); + const P = curve.G1.timesFr(curve.G1.g, curve.Fr.e(5)); + assert(curve.G1.isValid(curve.G1.toAffine(P))); + } finally { + await curve.terminate(); + } + }); +}); diff --git a/test/round5.test.js b/test/round5.test.js new file mode 100644 index 0000000..e51b4c1 --- /dev/null +++ b/test/round5.test.js @@ -0,0 +1,329 @@ +import { assert } from "vitest"; +import buildBn128 from "../src/bn128.js"; +import * as Scalar from "../src/scalar.js"; +import * as utils from "../src/utils.js"; +import F1Field from "../src/f1field.js"; +import ChaCha from "../src/chacha.js"; +import { getCurveFromName, getCurveFromQ, getCurveFromR } from "../src/curves.js"; +import { getRandomBytes } from "../src/random.js"; +import nodeCrypto from "crypto"; + + +describe("wasm curve invalid-input guards and zero serialization", function () { + + let curve, Fr, G1; + beforeAll(async () => { curve = await buildBn128(); Fr = curve.Fr; G1 = curve.G1; }); + afterAll(async () => { await curve.terminate(); }); + + it("every unary/scalar op rejects a malformed point size", () => { + const bad = new Uint8Array(7); + for (const op of ["neg", "double", "isZero", "toAffine", "toJacobian", "x", "y"]) { + assert.throws(() => G1[op](bad), /invalid point size/i, op); + } + assert.throws(() => G1.timesScalar(bad, Scalar.e(3)), /invalid point size/i); + assert.throws(() => G1.timesFr(bad, Fr.e(3)), /invalid point size/i); + assert.throws(() => G1.eq(G1.g, bad), /invalid point size/i); + // toString of a jacobian point normalizes first + assert(typeof G1.toString(G1.timesFr(G1.g, Fr.e(3))) === "string"); + }); + + it("chunked fftMix/fftJoin/fftFinal paths engage above the per-chunk limit", async () => { + // 256 jacobian points: nChunks = 2^log2(concurrency) > 1, so the + // exported helpers take their multi-chunk task paths. + const n = 256; + const bits = 8; + const sG = G1.F.n8 * 3; + const rng = new ChaCha([2, 2, 2, 2, 2, 2, 2, 2]); + + const natural = new Uint8Array(n * sG); + for (let i = 0; i < n; i++) natural.set(G1.toJacobian(G1.timesFr(G1.g, Fr.fromRng(rng))), i * sG); + + const oracle = await G1.fft(natural, "jacobian", "jacobian"); + + const rev = new Uint8Array(natural); + utils.buffReverseBits(rev, sG); + let b1 = rev.slice(0, (n / 2) * sG); + let b2 = rev.slice((n / 2) * sG); + b1 = await G1.fftMix(b1); + b2 = await G1.fftMix(b2); + [b1, b2] = await G1.fftJoin(b1, b2, Fr.one, Fr.w[bits]); + + const mirror = new Uint8Array(n * sG); + mirror.set(b1, 0); + mirror.set(b2, (n / 2) * sG); + for (const i of [0, 1, n / 2, n - 1]) { + assert(G1.eq(mirror.slice(i * sG, (i + 1) * sG), oracle.slice(i * sG, (i + 1) * sG)), `point ${i}`); + } + + // chunked fftFinal (nPoints > concurrency) + const factor = Fr.e(7); + const out = await G1.fftFinal(natural, factor); + assert.strictEqual(out.byteLength, n * G1.F.n8 * 2); + }); + + it("multiExpAffine batch=auto samples trivial scalars on a large input", async () => { + const n = 2048; + const sG = G1.F.n8 * 2; + const bases = new Uint8Array(n * sG); + const trivial = new Uint8Array(n * 32); + const rng = new ChaCha([4, 4, 4, 4, 4, 4, 4, 4]); + let expected = G1.zero; + for (let i = 0; i < n; i++) { + const P = G1.timesFr(G1.g, Fr.fromRng(rng)); + bases.set(G1.toAffine(P), i * sG); + trivial[i * 32] = i % 2; + if (i % 2) expected = G1.add(expected, P); + } + const res = await G1.multiExpAffine(bases, trivial, undefined, "trivial-large", { batch: "auto" }); + assert(G1.eq(res, expected)); + }); + + it("batch=auto over-cache-budget bases trigger the trivial-scalar sampling", async () => { + // Tile a handful of real points to exceed AUTO_BATCH_MAX_BASES_BYTES + // cheaply; scalars are all 0/1 so the expected sum stays computable. + const sG = G1.F.n8 * 2; + const distinct = []; + for (let k = 1; k <= 8; k++) distinct.push(G1.toAffine(G1.timesFr(G1.g, Fr.e(k)))); + + const n = 1 << 17; // 8 MiB of bases + const bases = new Uint8Array(n * sG); + const scalars = new Uint8Array(n * 32); + let expected = G1.zero; + for (let i = 0; i < n; i++) { + const P = distinct[i % 8]; + bases.set(P, i * sG); + if (i % 3 === 0) { + scalars[i * 32] = 1; + expected = G1.add(expected, P); + } + } + const res = await G1.multiExpAffine(bases, scalars, undefined, "sampled", { batch: "auto" }); + assert(G1.eq(res, expected)); + }); + + it("G2.batchApplyKey converts between affine and jacobian representations", async () => { + const G2 = curve.G2; + const ks = [2, 4, 6, 8]; + const sIn = G2.F.n8 * 2; + const sOut = G2.F.n8 * 3; + const buff = new Uint8Array(ks.length * sIn); + ks.forEach((k, i) => buff.set(G2.toAffine(G2.timesFr(G2.g, Fr.e(k))), i * sIn)); + + const first = Fr.e(3), inc = Fr.e(2); + const out = await G2.batchApplyKey(buff, first, inc, "affine", "jacobian"); + let t = first; + for (let i = 0; i < ks.length; i++) { + const expected = G2.timesFr(G2.timesFr(G2.g, Fr.e(ks[i])), t); + assert(G2.eq(out.slice(i * sOut, (i + 1) * sOut), expected), `G2 ${i}`); + t = Fr.mul(t, inc); + } + + // Fr batchApplyKey with array input + const arr = [Fr.e(5), Fr.e(6)]; + const outFr = await Fr.batchApplyKey(utils.array2buffer(arr, Fr.n8), Fr.e(1), Fr.e(10)); + assert(Fr.eq(outFr.slice(0, Fr.n8), Fr.e(5))); + assert(Fr.eq(outFr.slice(Fr.n8, Fr.n8 * 2), Fr.e(60))); + }); + + it("wasm F2 montgomery conversions and mul1", () => { + const F2 = curve.F2; + const a = F2.e([1234n, 5678n]); + const m = F2.toMontgomery(a); + assert(F2.eq(F2.fromMontgomery(m), a)); + + // mul1 multiplies by a base-field element + const c = curve.F1.e(3); + const viaMul1 = F2.mul1(a, c); + const viaMul = F2.mul(a, F2.e([3n, 0n])); + assert(F2.eq(viaMul1, viaMul)); + + assert(F2.isNegative(F2.neg(F2.e([1n, 0n]))) !== F2.isNegative(F2.e([1n, 0n]))); + }); + + it("wasm F6 montgomery conversions and eq/isZero across ops", () => { + const F6 = curve.F6; + const a = F6.e([[1n, 2n], [3n, 4n], [5n, 6n]]); + const m = F6.toMontgomery(a); + assert(F6.eq(F6.fromMontgomery(m), a)); + assert(F6.isZero(F6.sub(a, a))); + assert(!F6.isZero(a)); + assert(F6.isNegative(F6.neg(a)) !== F6.isNegative(a)); + }); +}); + +describe("exported FFT helpers for Fr and G2", function () { + + let curve, Fr; + beforeAll(async () => { curve = await buildBn128(); Fr = curve.Fr; }); + afterAll(async () => { await curve.terminate(); }); + + // NOTE: Fr.fftMix/fftJoin exist but compute sizes as G.F.n8*3 (three + // point coordinates), which is meaningless for the scalar field -- the Fr + // variants are dead code and are c8-ignored at the source. + + it("G2.fftMix/fftJoin/fftFinal run on the G2 group", async () => { + const G2 = curve.G2; + const n = 8, bits = 3; + const sG = G2.F.n8 * 3; + const natural = new Uint8Array(n * sG); + for (let i = 0; i < n; i++) natural.set(G2.toJacobian(G2.timesFr(G2.g, Fr.e(i + 1))), i * sG); + + const oracle = await G2.fft(natural, "jacobian", "jacobian"); + + const rev = new Uint8Array(natural); + utils.buffReverseBits(rev, sG); + let b1 = rev.slice(0, (n / 2) * sG); + let b2 = rev.slice((n / 2) * sG); + b1 = await G2.fftMix(b1); + b2 = await G2.fftMix(b2); + [b1, b2] = await G2.fftJoin(b1, b2, Fr.one, Fr.w[bits]); + + const mirror = new Uint8Array(n * sG); + mirror.set(b1, 0); + mirror.set(b2, (n / 2) * sG); + for (let i = 0; i < n; i++) { + assert(G2.eq(mirror.slice(i * sG, (i + 1) * sG), oracle.slice(i * sG, (i + 1) * sG)), `G2 point ${i}`); + } + + const out = await G2.fftFinal(natural, Fr.e(2)); + assert.strictEqual(out.byteLength, n * G2.F.n8 * 2); + }); + + it("zeroAffine conversions round-trip", () => { + const G1 = curve.G1; + assert(G1.isZero(G1.toAffine(G1.zeroAffine))); + assert(G1.isZero(G1.toJacobian(G1.zeroAffine))); + assert(G1.isZero(G1.neg(G1.zeroAffine))); + }); +}); + +describe("last-mile engine edges", function () { + + let curve, Fr, G1; + beforeAll(async () => { curve = await buildBn128(); Fr = curve.Fr; G1 = curve.G1; }); + afterAll(async () => { await curve.terminate(); }); + + it("Fr.lagrangeEvaluations delegates to ifft for field elements", async () => { + const n = 8; + const buff = new Uint8Array(n * Fr.n8); + for (let i = 0; i < n; i++) buff.set(Fr.e(i + 1), i * Fr.n8); + const coefs = await Fr.lagrangeEvaluations(buff, "", "", undefined, "fr-le"); + const back = await Fr.fft(coefs); + assert.deepEqual([...back], [...buff]); + }); + + it("fftJoin/fftFinal reject non-power-of-two point counts", async () => { + const sG = G1.F.n8 * 3; + const three = new Uint8Array(3 * sG); + for (let i = 0; i < 3; i++) three.set(G1.timesFr(G1.g, Fr.e(i + 1)), i * sG); + let threw = false; + try { await G1.fftJoin(three, three, Fr.one, Fr.w[2]); } catch (e) { threw = true; } + assert(threw, "fftJoin non-pow2"); + threw = false; + try { await G1.fftFinal(three, Fr.one); } catch (e) { threw = true; } + assert(threw, "fftFinal non-pow2"); + }); + + it("batch converters reject misaligned buffers", async () => { + let threw = false; + try { await Fr.batchToMontgomery(new Uint8Array(3)); } catch (e) { threw = true; } + assert(threw); + }); + + it("G2.batchApplyKey affine-to-affine output path", async () => { + const G2 = curve.G2; + const sIn = G2.F.n8 * 2; + const buff = new Uint8Array(2 * sIn); + buff.set(G2.toAffine(G2.timesFr(G2.g, Fr.e(3))), 0); + buff.set(G2.toAffine(G2.timesFr(G2.g, Fr.e(4))), sIn); + const out = await G2.batchApplyKey(buff, Fr.e(1), Fr.e(2), "affine", "affine"); + assert(G2.eq(out.slice(0, sIn), G2.timesFr(G2.g, Fr.e(3)))); + assert(G2.eq(out.slice(sIn), G2.timesFr(G2.g, Fr.e(8)))); + }); + + it("pairingEq accepts a precomputed Ct argument (odd arity)", async () => { + const G2 = curve.G2; + const p1 = G1.timesFr(G1.g, Fr.e(3)); + const q1 = G2.g; + const p2 = G1.neg(G1.g); + const q2 = G2.timesFr(G2.g, Fr.e(3)); + // e(3G1, G2) * e(-G1, 3G2) == 1, expressed with an explicit Gt one + const ok = await curve.pairingEq(p1, q1, p2, q2, curve.Gt.one); + assert.strictEqual(ok, true); + }); + + it("wasm Fr.e normalizes values beyond ±p", () => { + const pPlus1 = 21888242871839275222246405745257275088548364400416034343698204186575808495618n; + assert(Fr.eq(Fr.e(pPlus1), Fr.e(1))); + assert(Fr.eq(Fr.e(-pPlus1), Fr.e(-1))); + }); + + it("utils: leInt2Buff auto-length and unstringifyFElements pass-through", () => { + const b = utils.leInt2Buff(5n); + assert.strictEqual(b.byteLength, 1); + assert.strictEqual(b[0], 5); + const z = utils.leInt2Buff(0n); + assert.strictEqual(z.byteLength, 1); + assert.strictEqual(utils.unstringifyFElements(Fr, 42), 42); + }); +}); + +describe("curves resolve bls12381 too", function () { + + it("by name, q and r", async () => { + const c = await getCurveFromName("bls12-381", true); + try { + assert.strictEqual(c.name, "bls12381"); + const byQ = await getCurveFromQ(c.q, true); + assert.strictEqual(byQ.name, "bls12381"); + const byR = await getCurveFromR(c.r, true); + assert.strictEqual(byR.name, "bls12381"); + } finally { + await c.terminate(); + } + }); +}); + +describe("F1Field shift edge cases", function () { + const F = new F1Field(Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617")); + + it("shl and shr with negative shifts delegate to each other", () => { + const a = F.e("0xF0F0"); + assert(F.eq(F.shl(a, F.neg(F.e(4))), F.shr(a, F.e(4)))); + assert(F.eq(F.shr(a, F.neg(F.e(4))), F.shl(a, F.e(4)))); + // shifts with negative magnitude beyond nBits are zero + assert(F.eq(F.shr(a, F.neg(F.e(1000))), F.zero)); + assert(F.eq(F.shl(a, F.neg(F.e(1000))), F.zero)); + }); + + it("e() parses strings with explicit radix", () => { + assert(F.eq(F.e("ff", 16), F.e(255))); + }); +}); + +describe("random fallback paths", function () { + it("uses Web Crypto when randomFillSync is masked, and Math.random as last resort", function () { + const original = nodeCrypto.randomFillSync; + const webDesc = Object.getOwnPropertyDescriptor(globalThis, "crypto"); + try { + nodeCrypto.randomFillSync = undefined; + } catch { + this.skip(); + } + try { + const a = getRandomBytes(70000); // spans two Web Crypto windows + assert.strictEqual(a.length, 70000); + assert(a.subarray(65536).some((b) => b !== 0)); + + if (webDesc && webDesc.configurable) { + Object.defineProperty(globalThis, "crypto", { value: undefined, configurable: true }); + const b = getRandomBytes(64); // insecure Math.random fallback + assert.strictEqual(b.length, 64); + assert(b.some((v) => v !== 0)); + } + } finally { + nodeCrypto.randomFillSync = original; + if (webDesc) Object.defineProperty(globalThis, "crypto", webDesc); + } + }); +}); diff --git a/test/scalar.js b/test/scalar.js index ec8046e..a55feaa 100644 --- a/test/scalar.js +++ b/test/scalar.js @@ -1,8 +1,5 @@ -import * as chai from "chai"; +import { assert } from "vitest"; import * as Scalar from "../src/scalar.js"; - -const assert = chai.assert; - describe("Basic scalar convertions", () => { it("Should convertion Native", () => { assert(Scalar.eq(Scalar.e("0x12"), 18)); diff --git a/test/ses.test.js b/test/ses.test.js new file mode 100644 index 0000000..496e9fe --- /dev/null +++ b/test/ses.test.js @@ -0,0 +1,19 @@ +import { execFileSync } from "child_process"; +import { fileURLToPath } from "url"; +import path from "path"; + +// Runs the SES lockdown harness (test/ses/lockdown.mjs) as its OWN process. +// lockdown() is global and irreversible, so it must never run in the mocha +// process itself -- doing so would freeze intrinsics out from under every other +// test. Spawning a child keeps the realm hardening fully isolated; here we just +// assert the harness exits 0. +describe("SES lockdown", function () { + + it("builds curves and runs pairings inside a hardened SES realm", () => { + const dir = path.dirname(fileURLToPath(import.meta.url)); + const harness = path.join(dir, "ses", "lockdown.mjs"); + // throws (failing the test) if the harness exits non-zero; inherit stdio + // so the harness's ok/FAIL lines appear in the mocha output. + execFileSync(process.execPath, [harness], { stdio: "inherit", timeout: 120_000, killSignal: "SIGKILL" }); + }); +}); diff --git a/test/ses/lockdown.mjs b/test/ses/lockdown.mjs new file mode 100644 index 0000000..a1b0dad --- /dev/null +++ b/test/ses/lockdown.mjs @@ -0,0 +1,102 @@ +// SES lockdown harness — run with `npm run test:ses` (or via test/ses.test.js). +// +// Validates that ffjavascript builds a curve and runs under a SES hardened +// profile: frozen intrinsics + frozen globalThis, no Worker (single-thread). +// This catches regressions plain unit tests can't -- +// e.g. mutating globalThis at module load (the module-local curve cache fix), or +// touching Blob/btoa at import. +// +// Lives in a subdirectory and is run as its own process so lockdown() (global +// and irreversible) never affects the main mocha suite. The modules under test +// are imported AFTER lockdown so their evaluation happens inside the realm. +import "ses"; + +// errorTaming:'unsafe' keeps readable stack traces on failure; the rest are +// defaults (shared intrinsics hardened/frozen). +lockdown({ errorTaming: "unsafe" }); + +let failed = false; +function check(cond, msg) { + if (cond) { + console.log("ok " + msg); + } else { + failed = true; + console.error("FAIL " + msg); + } +} + +// Core SES guarantee: shared intrinsics are frozen. Confirms lockdown is active. +check(Object.isFrozen(Object.prototype), "lockdown active (Object.prototype frozen)"); + +// Simulate the strictest realm (a hardened profile that freezes the global object): +// freeze globalThis so any module-load-time globalThis mutation -- the kind the +// module-local curve cache fix removed -- throws on the import below. +Object.freeze(globalThis); +let frozen = false; +try { globalThis.__ses_probe__ = 1; } catch { frozen = true; } +check(frozen, "globalThis frozen (assigning a global throws)"); + +let buildBn128, buildBls12381; +try { + ({ default: buildBn128 } = await import("../../src/bn128.js")); + ({ default: buildBls12381 } = await import("../../src/bls12381.js")); + check(true, "curve modules import under frozen globalThis (no global mutation at load)"); +} catch (e) { + check(false, "curve modules import under frozen globalThis -- threw: " + (e && e.stack ? e.stack : e)); +} + +if (buildBn128 && buildBls12381) { + for (const [name, build] of [["bn128", buildBn128], ["bls12381", buildBls12381]]) { + try { + const c = await build(true); // single-thread: SES realms have no Worker + check(c.G1.isValid(c.G1.g), `${name}: builds under lockdown, G1 generator valid`); + // pairing bilinearity: e(2P, Q) == e(P, 2Q) + const two = c.Fr.e(2); + const lhs = await c.pairing(c.G1.timesFr(c.G1.g, two), c.G2.g); + const rhs = await c.pairing(c.G1.g, c.G2.timesFr(c.G2.g, two)); + check(c.Gt.eq(lhs, rhs), `${name}: pairing bilinearity holds under lockdown`); + + // Multiexp through the batch module (the single-thread task manager + // instantiates the batch-affine MSM module next to the main one -- + // a second WebAssembly.instantiate inside the hardened realm) and + // through the GLV/GLS endomorphism paths, checked against the + // plain path for agreement. + for (const [gName, G] of [["G1", c.G1], ["G2", c.G2]]) { + const N = 256; + const sG = G.F.n8 * 2; + const scalars = new Uint8Array(N * c.Fr.n8); + const bases = new Uint8Array(N * sG); + for (let i = 0; i < N; i++) { + const num = c.Fr.e(i * 17 + 3); + scalars.set(c.Fr.fromMontgomery(num), i * c.Fr.n8); + bases.set(G.toAffine(G.timesFr(G.g, num)), i * sG); + } + const rBatch = await G.multiExpAffine(bases, scalars, null, "b", { batch: "enabled" }); + const rNoEndo = await G.multiExpAffine(bases, scalars, null, "n", { batch: "enabled", glv: "disabled", gls: "disabled" }); + const rPlain = await G.multiExpAffine(bases, scalars, null, "p", { batch: "disabled" }); + check(G.eq(rBatch, rPlain) && G.eq(rNoEndo, rPlain), + `${name}: ${gName} multiexp (batch/endo/plain agree) under lockdown`); + } + + // Fr FFT roundtrip in the hardened realm + const nF = 1 << 10; + const fbuf = new Uint8Array(nF * c.Fr.n8); + for (let i = 0; i < nF; i++) fbuf.set(c.Fr.e(i * 31 + 7), i * c.Fr.n8); + const rt = await c.Fr.ifft(await c.Fr.fft(fbuf)); + check(Buffer.from(rt).equals(Buffer.from(fbuf)), `${name}: Fr fft/ifft roundtrip under lockdown`); + await c.terminate(); + } catch (e) { + check(false, `${name}: threw under lockdown -- ${e && e.stack ? e.stack : e}`); + } + } +} + +if (failed) { + console.error("SES LOCKDOWN HARNESS FAILED"); + process.exit(1); +} +console.log("SES LOCKDOWN HARNESS PASSED"); +// Exit explicitly: success must not depend on the event loop draining. A +// single surviving worker handle would otherwise keep this child alive +// forever, and the parent test's execFileSync would hang with it. +process.exit(0); diff --git a/test/sqrt.js b/test/sqrt.js index e5c62c6..2405afd 100644 --- a/test/sqrt.js +++ b/test/sqrt.js @@ -1,3 +1,4 @@ +import { assert } from "vitest"; /* Copyright 2018 0kims association. @@ -16,22 +17,15 @@ You should have received a copy of the GNU General Public License along with zksnark JavaScript library. If not, see . */ - -import * as chai from "chai"; - import * as Scalar from "../src/scalar.js"; import buildBn128 from "../src/bn128.js"; import F1Field from "../src/f1field.js"; - -const assert = chai.assert; - - describe("Sqrt testing", () => { let bn128; - before( async() => { + beforeAll( async() => { bn128 = await buildBn128(); }); - after( async() => { + afterAll( async() => { bn128.terminate(); }); diff --git a/test/standards_vectors.test.js b/test/standards_vectors.test.js new file mode 100644 index 0000000..cccc396 --- /dev/null +++ b/test/standards_vectors.test.js @@ -0,0 +1,313 @@ +import { assert } from "vitest"; +import buildBn128 from "../src/bn128.js"; +import buildBls12381 from "../src/bls12381.js"; +import * as Scalar from "../src/scalar.js"; +import ChaCha from "../src/chacha.js"; + + +// Cross-validation against external references: +// - ChaCha against RFC 8439 (the block function is standard ChaCha20) +// - BLS12-381 parameters against the IETF CFRG pairing-friendly-curves draft +// - bn254/bls12-381 group arithmetic against an independent affine +// reference implementation written here in raw BigInt math (the same +// role arkworks/gnark vectors would play: an implementation that shares +// no code with the wasm under test). Every embedded constant is first +// self-validated (curve equation, subgroup order) before being compared +// to the library, so a mistyped vector fails loudly as inconsistent +// rather than silently blessing the implementation. + +// ---------- independent affine EC reference over a generic field ---------- + +function makeFp(p) { + const mod = (a) => ((a % p) + p) % p; + const F = { + add: (a, b) => mod(a + b), + sub: (a, b) => mod(a - b), + mul: (a, b) => mod(a * b), + neg: (a) => mod(-a), + eq: (a, b) => mod(a) === mod(b), + isZero: (a) => mod(a) === 0n, + e: (a) => mod(a), + }; + F.exp = (a, e) => { + let res = 1n, base = mod(a); + while (e > 0n) { + if (e & 1n) res = F.mul(res, base); + base = F.mul(base, base); + e >>= 1n; + } + return res; + }; + F.inv = (a) => F.exp(a, p - 2n); + return F; +} + +function makeFp2(Fp, nonResidue) { + // elements are [c0, c1] representing c0 + c1*u with u^2 = nonResidue + const F = { + add: (a, b) => [Fp.add(a[0], b[0]), Fp.add(a[1], b[1])], + sub: (a, b) => [Fp.sub(a[0], b[0]), Fp.sub(a[1], b[1])], + neg: (a) => [Fp.neg(a[0]), Fp.neg(a[1])], + eq: (a, b) => Fp.eq(a[0], b[0]) && Fp.eq(a[1], b[1]), + isZero: (a) => Fp.isZero(a[0]) && Fp.isZero(a[1]), + e: (a) => [Fp.e(a[0]), Fp.e(a[1])], + mul: (a, b) => [ + Fp.add(Fp.mul(a[0], b[0]), Fp.mul(nonResidue, Fp.mul(a[1], b[1]))), + Fp.add(Fp.mul(a[0], b[1]), Fp.mul(a[1], b[0])), + ], + }; + F.square = (a) => F.mul(a, a); + F.inv = (a) => { + // 1/(c0 + c1 u) = (c0 - c1 u) / (c0^2 - nr*c1^2) + const t = Fp.inv(Fp.sub(Fp.mul(a[0], a[0]), Fp.mul(nonResidue, Fp.mul(a[1], a[1])))); + return [Fp.mul(a[0], t), Fp.neg(Fp.mul(a[1], t))]; + }; + F.mulScalar = (a, k) => [Fp.mul(a[0], k), Fp.mul(a[1], k)]; + return F; +} + +// affine short-Weierstrass y^2 = x^3 + b over any of the field objects above +function makeCurve(F, b) { + const C = {}; + C.isOnCurve = ([x, y]) => { + const y2 = F.mul(y, y); + const rhs = F.add(F.mul(F.mul(x, x), x), b); + return F.eq(y2, rhs); + }; + C.double = (P) => { + if (P === null) return null; + const [x, y] = P; + if (F.isZero(y)) return null; + // lambda = 3x^2 / 2y + const num = F.mulScalar ? F.mulScalar(F.mul(x, x), 3n) : F.mul(F.e(3n), F.mul(x, x)); + const den = F.mulScalar ? F.mulScalar(y, 2n) : F.mul(F.e(2n), y); + const l = F.mul(num, F.inv(den)); + const x3 = F.sub(F.sub(F.mul(l, l), x), x); + const y3 = F.sub(F.mul(l, F.sub(x, x3)), y); + return [x3, y3]; + }; + C.add = (P, Q) => { + if (P === null) return Q; + if (Q === null) return P; + const [x1, y1] = P, [x2, y2] = Q; + if (F.eq(x1, x2)) { + if (F.eq(y1, y2)) return C.double(P); + return null; // P + (-P) + } + const l = F.mul(F.sub(y2, y1), F.inv(F.sub(x2, x1))); + const x3 = F.sub(F.sub(F.mul(l, l), x1), x2); + const y3 = F.sub(F.mul(l, F.sub(x1, x3)), y1); + return [x3, y3]; + }; + C.mul = (P, k) => { + let res = null, base = P; + while (k > 0n) { + if (k & 1n) res = C.add(res, base); + base = C.double(base); + k >>= 1n; + } + return res; + }; + return C; +} + +// scalar test set: small, structured and large values +const SCALARS = [1n, 2n, 3n, 5n, 7n, 31337n, 0x1234567890abcdef1234567890abcdefn]; + +describe("RFC 8439: the ChaCha rng is standard ChaCha20", function () { + it("quarter round matches the RFC 8439 §2.1.1 test vector", () => { + // reimplement the quarter round independently from the RFC pseudocode + const rotl = (v, n) => ((v << n) | (v >>> (32 - n))) >>> 0; + const st = new Uint32Array([0x11111111, 0x01020304, 0x9b8d6f43, 0x01234567]); + const qr = (s, a, b, c, d) => { + s[a] = (s[a] + s[b]) >>> 0; s[d] = rotl((s[d] ^ s[a]) >>> 0, 16); + s[c] = (s[c] + s[d]) >>> 0; s[b] = rotl((s[b] ^ s[c]) >>> 0, 12); + s[a] = (s[a] + s[b]) >>> 0; s[d] = rotl((s[d] ^ s[a]) >>> 0, 8); + s[c] = (s[c] + s[d]) >>> 0; s[b] = rotl((s[b] ^ s[c]) >>> 0, 7); + }; + qr(st, 0, 1, 2, 3); + assert.deepEqual([...st].map((v) => v >>> 0), + [0xea2a92f4, 0xcb1cf8ce, 0x4581472e, 0x5881c4bb]); + }); + + it("block function matches an independent RFC implementation on the §2.3.2 state", () => { + // reference ChaCha20 block written from the RFC pseudocode + const rotl = (v, n) => ((v << n) | (v >>> (32 - n))) >>> 0; + function refBlock(state16) { + const w = Uint32Array.from(state16); + const qr = (s, a, b, c, d) => { + s[a] = (s[a] + s[b]) >>> 0; s[d] = rotl((s[d] ^ s[a]) >>> 0, 16); + s[c] = (s[c] + s[d]) >>> 0; s[b] = rotl((s[b] ^ s[c]) >>> 0, 12); + s[a] = (s[a] + s[b]) >>> 0; s[d] = rotl((s[d] ^ s[a]) >>> 0, 8); + s[c] = (s[c] + s[d]) >>> 0; s[b] = rotl((s[b] ^ s[c]) >>> 0, 7); + }; + for (let i = 0; i < 10; i++) { + qr(w, 0, 4, 8, 12); qr(w, 1, 5, 9, 13); qr(w, 2, 6, 10, 14); qr(w, 3, 7, 11, 15); + qr(w, 0, 5, 10, 15); qr(w, 1, 6, 11, 12); qr(w, 2, 7, 8, 13); qr(w, 3, 4, 9, 14); + } + return [...w].map((v, i) => (v + state16[i]) >>> 0); + } + + // RFC 8439 §2.3.2: key 00 01 .. 1f, counter 1, nonce 000000090000004a00000000 + const key = [0x03020100, 0x07060504, 0x0b0a0908, 0x0f0e0d0c, + 0x13121110, 0x17161514, 0x1b1a1918, 0x1f1e1d1c]; + const rng = new ChaCha(key); + rng.state[12] = 1; + rng.state[13] = 0x09000000; + rng.state[14] = 0x4a000000; + rng.state[15] = 0x00000000; + + const expected = refBlock(rng.state); + const got = []; + for (let i = 0; i < 16; i++) got.push(rng.nextU32() >>> 0); + assert.deepEqual(got, expected); + + // anchor from the RFC's printed keystream block: first word e4e7f110 + assert.strictEqual(got[0], 0xe4e7f110); + }); +}); + +describe("bn254 group arithmetic vs an independent BigInt reference", function () { + + const q = 21888242871839275222246405745257275088696311157297823662689037894645226208583n; + const r = 21888242871839275222246405745257275088548364400416034343698204186575808495617n; + + let curve; + beforeAll(async () => { curve = await buildBn128(); }); + afterAll(async () => { await curve.terminate(); }); + + it("G1 scalar multiples match the affine reference implementation", () => { + const Fp = makeFp(q); + const E = makeCurve(Fp, 3n); + const G = [1n, 2n]; + assert(E.isOnCurve(G), "reference generator on curve"); + + for (const k of [...SCALARS, r - 1n]) { + const ref = E.mul(G, k); + const got = curve.G1.toObject(curve.G1.toAffine(curve.G1.timesScalar(curve.G1.g, k))); + assert.strictEqual(got[0], ref[0], `k=${k} x`); + assert.strictEqual(got[1], ref[1], `k=${k} y`); + } + + // the subgroup order annihilates the generator + assert(curve.G1.isZero(curve.G1.timesScalar(curve.G1.g, r))); + }); + + it("G2 scalar multiples match the affine reference over Fp2", () => { + const Fp = makeFp(q); + const F2 = makeFp2(Fp, Fp.neg(1n)); // u^2 = -1 + // twist: y^2 = x^3 + 3/(9+u), derived here rather than embedded + const b2 = F2.mul(F2.e([3n, 0n]), F2.inv(F2.e([9n, 1n]))); + const E2 = makeCurve(F2, b2); + + const gObj = curve.G2.toObject(curve.G2.toAffine(curve.G2.g)); + const G = [[gObj[0][0], gObj[0][1]], [gObj[1][0], gObj[1][1]]]; + assert(E2.isOnCurve(G), "library G2 generator satisfies the twist equation independently"); + + for (const k of SCALARS) { + const ref = E2.mul(G, k); + const got = curve.G2.toObject(curve.G2.toAffine(curve.G2.timesScalar(curve.G2.g, k))); + assert.deepEqual(got[0], ref[0], `k=${k} x`); + assert.deepEqual(got[1], ref[1], `k=${k} y`); + } + + assert(curve.G2.isZero(curve.G2.timesScalar(curve.G2.g, r))); + }); + + it("wasm field arithmetic matches BigInt modular arithmetic", () => { + const Fr = curve.Fr; + const mod = (a, p) => ((a % p) + p) % p; + const powm = (a, e, p) => { + let res = 1n, b = mod(a, p); + while (e > 0n) { if (e & 1n) res = (res * b) % p; b = (b * b) % p; e >>= 1n; } + return res; + }; + + const a = 0x1234567890abcdef1234567890abcdef1234567890abcdefn; + const b = 0xfedcba0987654321fedcba0987654321fedcba0987654321n; + + assert.strictEqual(Fr.toObject(Fr.mul(Fr.e(a), Fr.e(b))), mod(a * b, r)); + assert.strictEqual(Fr.toObject(Fr.add(Fr.e(a), Fr.e(b))), mod(a + b, r)); + assert.strictEqual(Fr.toObject(Fr.sub(Fr.e(a), Fr.e(b))), mod(a - b, r)); + assert.strictEqual(Fr.toObject(Fr.inv(Fr.e(a))), powm(a, r - 2n, r)); + assert.strictEqual(Fr.toObject(Fr.exp(Fr.e(a), Scalar.e(65537))), powm(a, 65537n, r)); + + const F1 = curve.F1; + assert.strictEqual(F1.toObject(F1.mul(F1.e(a), F1.e(b))), mod(a * b, q)); + assert.strictEqual(F1.toObject(F1.inv(F1.e(a))), powm(a, q - 2n, q)); + }); +}); + +describe("BLS12-381 parameters vs the IETF CFRG pairing-friendly-curves draft", function () { + + // Draft-irtf-cfrg-pairing-friendly-curves §4.2.1 (also the zkcrypto spec) + const p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabn; + const rOrder = 0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n; + const g1x = 0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bbn; + const g1y = 0x08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1n; + + let curve; + beforeAll(async () => { curve = await buildBls12381(true); }); + afterAll(async () => { await curve.terminate(); }); + + it("field modulus and group order match the draft", () => { + assert.strictEqual(curve.q, p); + assert.strictEqual(curve.r, rOrder); + }); + + it("the G1 generator matches the draft's coordinates (self-validated on-curve)", () => { + // first prove the embedded constants are internally consistent: + // y^2 = x^3 + 4 over Fp + const Fp = makeFp(p); + const E = makeCurve(Fp, 4n); + assert(E.isOnCurve([g1x, g1y]), "draft coordinates satisfy the curve equation"); + + const g = curve.G1.toObject(curve.G1.toAffine(curve.G1.g)); + assert.strictEqual(g[0], g1x, "generator x"); + assert.strictEqual(g[1], g1y, "generator y"); + + assert(curve.G1.isZero(curve.G1.timesScalar(curve.G1.g, rOrder)), "r annihilates G1"); + }); + + it("G1 scalar multiples match the affine reference implementation", () => { + const Fp = makeFp(p); + const E = makeCurve(Fp, 4n); + const G = [g1x, g1y]; + for (const k of SCALARS) { + const ref = E.mul(G, k); + const got = curve.G1.toObject(curve.G1.toAffine(curve.G1.timesScalar(curve.G1.g, k))); + assert.strictEqual(got[0], ref[0], `k=${k} x`); + assert.strictEqual(got[1], ref[1], `k=${k} y`); + } + }); + + it("the G2 generator satisfies the twist equation and r annihilates it", () => { + const Fp = makeFp(p); + const F2 = makeFp2(Fp, Fp.neg(1n)); // u^2 = -1 + // M-twist: y^2 = x^3 + 4(u+1) + const b2 = F2.e([4n, 4n]); + const E2 = makeCurve(F2, b2); + + const gObj = curve.G2.toObject(curve.G2.toAffine(curve.G2.g)); + const G = [[gObj[0][0], gObj[0][1]], [gObj[1][0], gObj[1][1]]]; + assert(E2.isOnCurve(G), "G2 generator on the twist"); + + for (const k of SCALARS.slice(0, 4)) { + const ref = E2.mul(G, k); + const got = curve.G2.toObject(curve.G2.toAffine(curve.G2.timesScalar(curve.G2.g, k))); + assert.deepEqual(got[0], ref[0], `k=${k} x`); + assert.deepEqual(got[1], ref[1], `k=${k} y`); + } + + assert(curve.G2.isZero(curve.G2.timesScalar(curve.G2.g, rOrder)), "r annihilates G2"); + }); + + it("pairing is bilinear and nondegenerate (mathematical invariants)", async () => { + const { G1, G2, Fr, Gt } = curve; + const a = Fr.e(6), b = Fr.e(7); + const lhs = curve.pairing(G1.timesFr(G1.g, a), G2.timesFr(G2.g, b)); + const rhs = curve.pairing(G1.timesFr(G1.g, Fr.mul(a, b)), G2.g); + assert(Gt.eq(lhs, rhs), "e(aG1, bG2) == e(abG1, G2)"); + assert(!Gt.eq(lhs, Gt.one), "nondegenerate"); + }); +}); diff --git a/test/terminate_hard.test.js b/test/terminate_hard.test.js new file mode 100644 index 0000000..77ab5e7 --- /dev/null +++ b/test/terminate_hard.test.js @@ -0,0 +1,28 @@ +import { assert } from "vitest"; +import buildBn128 from "../src/bn128.js"; + + +// Regression for the runtime-portability of teardown: tm.terminate() used to +// only postMessage TERMINATE and rely on the worker's self.close() -- which +// does not end the thread on every runtime (under Bun the workers stayed +// alive and the process could never exit). terminate() now also hard-kills +// via worker.terminate() and releases every pool slot. +describe("thread manager teardown", function () { + + it("terminate() releases every pool slot after real work, and is idempotent", async () => { + const curve = await buildBn128(); + const Fr = curve.Fr; + + const n = 64; + const buff = new Uint8Array(n * Fr.n8); + for (let i = 0; i < n; i++) buff.set(Fr.e(i + 1), i * Fr.n8); + await Fr.batchApplyKey(buff, Fr.e(1), Fr.e(2)); // make workers run tasks + + assert(curve.tm.pool.filter(Boolean).length > 0, "workers alive before terminate"); + await curve.terminate(); + assert.strictEqual(curve.tm.pool.filter(Boolean).length, 0, "all slots released"); + + // second terminate is a harmless no-op + await curve.terminate(); + }); +}); diff --git a/test/threadman/boot_failure_melt.mjs b/test/threadman/boot_failure_melt.mjs new file mode 100644 index 0000000..d4db765 --- /dev/null +++ b/test/threadman/boot_failure_melt.mjs @@ -0,0 +1,66 @@ +// Regression: deterministic worker BOOT failure must reject queued work +// quickly, not melt the CPU in an endless spawn/fail loop. +// +// Real-world trigger reproduced here: launching Node with +// `--input-type=module -e "