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(function(){function r(e,n,t){function o(i,f){if(!n[i]){if(!e[i]){var c="function"==typeof require&&require;if(!f&&c)return c(i,!0);if(u)return u(i,!0);var a=new Error("Cannot find module '"+i+"'");throw a.code="MODULE_NOT_FOUND",a}var p=n[i]={exports:{}};e[i][0].call(p.exports,function(r){var n=e[i][1][r];return o(n||r)},p,p.exports,r,e,n,t)}return n[i].exports}for(var u="function"==typeof require&&require,i=0;i<t.length;i++)o(t[i]);return o}return r})()({1:[function(require,module,exports){ module.exports.buildF1 = require("./src/f1.js"); module.exports.buildBn128 = require("./src/bn128.js"); module.exports.buildGroth16 = require("./src/groth16.js");
},{"./src/bn128.js":3,"./src/f1.js":15,"./src/groth16.js":16}],2:[function(require,module,exports){ var bigInt = (function (undefined) { "use strict";
var BASE = 1e7, LOG_BASE = 7, MAX_INT = 9007199254740992, MAX_INT_ARR = smallToArray(MAX_INT), DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
var supportsNativeBigInt = typeof BigInt === "function";
function Integer(v, radix, alphabet, caseSensitive) { if (typeof v === "undefined") return Integer[0]; if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive); return parseValue(v); }
function BigInteger(value, sign) { this.value = value; this.sign = sign; this.isSmall = false; } BigInteger.prototype = Object.create(Integer.prototype);
function SmallInteger(value) { this.value = value; this.sign = value < 0; this.isSmall = true; } SmallInteger.prototype = Object.create(Integer.prototype);
function NativeBigInt(value) { this.value = value; } NativeBigInt.prototype = Object.create(Integer.prototype);
function isPrecise(n) { return -MAX_INT < n && n < MAX_INT; }
function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
if (n < 1e7) return [n]; if (n < 1e14) return [n % 1e7, Math.floor(n / 1e7)]; return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)]; }
function arrayToSmall(arr) { // If BASE changes this function may need to change
trim(arr); var length = arr.length; if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) { switch (length) { case 0: return 0; case 1: return arr[0]; case 2: return arr[0] + arr[1] * BASE; default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE; } } return arr; }
function trim(v) { var i = v.length; while (v[--i] === 0); v.length = i + 1; }
function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
var x = new Array(length); var i = -1; while (++i < length) { x[i] = 0; } return x; }
function truncate(n) { if (n > 0) return Math.floor(n); return Math.ceil(n); }
function add(a, b) { // assumes a and b are arrays with a.length >= b.length
var l_a = a.length, l_b = b.length, r = new Array(l_a), carry = 0, base = BASE, sum, i; for (i = 0; i < l_b; i++) { sum = a[i] + b[i] + carry; carry = sum >= base ? 1 : 0; r[i] = sum - carry * base; } while (i < l_a) { sum = a[i] + carry; carry = sum === base ? 1 : 0; r[i++] = sum - carry * base; } if (carry > 0) r.push(carry); return r; }
function addAny(a, b) { if (a.length >= b.length) return add(a, b); return add(b, a); }
function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
var l = a.length, r = new Array(l), base = BASE, sum, i; for (i = 0; i < l; i++) { sum = a[i] - base + carry; carry = Math.floor(sum / base); r[i] = sum - carry * base; carry += 1; } while (carry > 0) { r[i++] = carry % base; carry = Math.floor(carry / base); } return r; }
BigInteger.prototype.add = function (v) { var n = parseValue(v); if (this.sign !== n.sign) { return this.subtract(n.negate()); } var a = this.value, b = n.value; if (n.isSmall) { return new BigInteger(addSmall(a, Math.abs(b)), this.sign); } return new BigInteger(addAny(a, b), this.sign); }; BigInteger.prototype.plus = BigInteger.prototype.add;
SmallInteger.prototype.add = function (v) { var n = parseValue(v); var a = this.value; if (a < 0 !== n.sign) { return this.subtract(n.negate()); } var b = n.value; if (n.isSmall) { if (isPrecise(a + b)) return new SmallInteger(a + b); b = smallToArray(Math.abs(b)); } return new BigInteger(addSmall(b, Math.abs(a)), a < 0); }; SmallInteger.prototype.plus = SmallInteger.prototype.add;
NativeBigInt.prototype.add = function (v) { return new NativeBigInt(this.value + parseValue(v).value); } NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
function subtract(a, b) { // assumes a and b are arrays with a >= b
var a_l = a.length, b_l = b.length, r = new Array(a_l), borrow = 0, base = BASE, i, difference; for (i = 0; i < b_l; i++) { difference = a[i] - borrow - b[i]; if (difference < 0) { difference += base; borrow = 1; } else borrow = 0; r[i] = difference; } for (i = b_l; i < a_l; i++) { difference = a[i] - borrow; if (difference < 0) difference += base; else { r[i++] = difference; break; } r[i] = difference; } for (; i < a_l; i++) { r[i] = a[i]; } trim(r); return r; }
function subtractAny(a, b, sign) { var value; if (compareAbs(a, b) >= 0) { value = subtract(a, b); } else { value = subtract(b, a); sign = !sign; } value = arrayToSmall(value); if (typeof value === "number") { if (sign) value = -value; return new SmallInteger(value); } return new BigInteger(value, sign); }
function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
var l = a.length, r = new Array(l), carry = -b, base = BASE, i, difference; for (i = 0; i < l; i++) { difference = a[i] + carry; carry = Math.floor(difference / base); difference %= base; r[i] = difference < 0 ? difference + base : difference; } r = arrayToSmall(r); if (typeof r === "number") { if (sign) r = -r; return new SmallInteger(r); } return new BigInteger(r, sign); }
BigInteger.prototype.subtract = function (v) { var n = parseValue(v); if (this.sign !== n.sign) { return this.add(n.negate()); } var a = this.value, b = n.value; if (n.isSmall) return subtractSmall(a, Math.abs(b), this.sign); return subtractAny(a, b, this.sign); }; BigInteger.prototype.minus = BigInteger.prototype.subtract;
SmallInteger.prototype.subtract = function (v) { var n = parseValue(v); var a = this.value; if (a < 0 !== n.sign) { return this.add(n.negate()); } var b = n.value; if (n.isSmall) { return new SmallInteger(a - b); } return subtractSmall(b, Math.abs(a), a >= 0); }; SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
NativeBigInt.prototype.subtract = function (v) { return new NativeBigInt(this.value - parseValue(v).value); } NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
BigInteger.prototype.negate = function () { return new BigInteger(this.value, !this.sign); }; SmallInteger.prototype.negate = function () { var sign = this.sign; var small = new SmallInteger(-this.value); small.sign = !sign; return small; }; NativeBigInt.prototype.negate = function () { return new NativeBigInt(-this.value); }
BigInteger.prototype.abs = function () { return new BigInteger(this.value, false); }; SmallInteger.prototype.abs = function () { return new SmallInteger(Math.abs(this.value)); }; NativeBigInt.prototype.abs = function () { return new NativeBigInt(this.value >= 0 ? this.value : -this.value); }
function multiplyLong(a, b) { var a_l = a.length, b_l = b.length, l = a_l + b_l, r = createArray(l), base = BASE, product, carry, i, a_i, b_j; for (i = 0; i < a_l; ++i) { a_i = a[i]; for (var j = 0; j < b_l; ++j) { b_j = b[j]; product = a_i * b_j + r[i + j]; carry = Math.floor(product / base); r[i + j] = product - carry * base; r[i + j + 1] += carry; } } trim(r); return r; }
function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
var l = a.length, r = new Array(l), base = BASE, carry = 0, product, i; for (i = 0; i < l; i++) { product = a[i] * b + carry; carry = Math.floor(product / base); r[i] = product - carry * base; } while (carry > 0) { r[i++] = carry % base; carry = Math.floor(carry / base); } return r; }
function shiftLeft(x, n) { var r = []; while (n-- > 0) r.push(0); return r.concat(x); }
function multiplyKaratsuba(x, y) { var n = Math.max(x.length, y.length);
if (n <= 30) return multiplyLong(x, y); n = Math.ceil(n / 2);
var b = x.slice(n), a = x.slice(0, n), d = y.slice(n), c = y.slice(0, n);
var ac = multiplyKaratsuba(a, c), bd = multiplyKaratsuba(b, d), abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n)); trim(product); return product; }
// The following function is derived from a surface fit of a graph plotting the performance difference
// between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
function useKaratsuba(l1, l2) { return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0; }
BigInteger.prototype.multiply = function (v) { var n = parseValue(v), a = this.value, b = n.value, sign = this.sign !== n.sign, abs; if (n.isSmall) { if (b === 0) return Integer[0]; if (b === 1) return this; if (b === -1) return this.negate(); abs = Math.abs(b); if (abs < BASE) { return new BigInteger(multiplySmall(a, abs), sign); } b = smallToArray(abs); } if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
return new BigInteger(multiplyKaratsuba(a, b), sign); return new BigInteger(multiplyLong(a, b), sign); };
BigInteger.prototype.times = BigInteger.prototype.multiply;
function multiplySmallAndArray(a, b, sign) { // a >= 0
if (a < BASE) { return new BigInteger(multiplySmall(b, a), sign); } return new BigInteger(multiplyLong(b, smallToArray(a)), sign); } SmallInteger.prototype._multiplyBySmall = function (a) { if (isPrecise(a.value * this.value)) { return new SmallInteger(a.value * this.value); } return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign); }; BigInteger.prototype._multiplyBySmall = function (a) { if (a.value === 0) return Integer[0]; if (a.value === 1) return this; if (a.value === -1) return this.negate(); return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign); }; SmallInteger.prototype.multiply = function (v) { return parseValue(v)._multiplyBySmall(this); }; SmallInteger.prototype.times = SmallInteger.prototype.multiply;
NativeBigInt.prototype.multiply = function (v) { return new NativeBigInt(this.value * parseValue(v).value); } NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
function square(a) { //console.assert(2 * BASE * BASE < MAX_INT);
var l = a.length, r = createArray(l + l), base = BASE, product, carry, i, a_i, a_j; for (i = 0; i < l; i++) { a_i = a[i]; carry = 0 - a_i * a_i; for (var j = i; j < l; j++) { a_j = a[j]; product = 2 * (a_i * a_j) + r[i + j] + carry; carry = Math.floor(product / base); r[i + j] = product - carry * base; } r[i + l] = carry; } trim(r); return r; }
BigInteger.prototype.square = function () { return new BigInteger(square(this.value), false); };
SmallInteger.prototype.square = function () { var value = this.value * this.value; if (isPrecise(value)) return new SmallInteger(value); return new BigInteger(square(smallToArray(Math.abs(this.value))), false); };
NativeBigInt.prototype.square = function (v) { return new NativeBigInt(this.value * this.value); }
function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
var a_l = a.length, b_l = b.length, base = BASE, result = createArray(b.length), divisorMostSignificantDigit = b[b_l - 1], // normalization
lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)), remainder = multiplySmall(a, lambda), divisor = multiplySmall(b, lambda), quotientDigit, shift, carry, borrow, i, l, q; if (remainder.length <= a_l) remainder.push(0); divisor.push(0); divisorMostSignificantDigit = divisor[b_l - 1]; for (shift = a_l - b_l; shift >= 0; shift--) { quotientDigit = base - 1; if (remainder[shift + b_l] !== divisorMostSignificantDigit) { quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit); } // quotientDigit <= base - 1
carry = 0; borrow = 0; l = divisor.length; for (i = 0; i < l; i++) { carry += quotientDigit * divisor[i]; q = Math.floor(carry / base); borrow += remainder[shift + i] - (carry - q * base); carry = q; if (borrow < 0) { remainder[shift + i] = borrow + base; borrow = -1; } else { remainder[shift + i] = borrow; borrow = 0; } } while (borrow !== 0) { quotientDigit -= 1; carry = 0; for (i = 0; i < l; i++) { carry += remainder[shift + i] - base + divisor[i]; if (carry < 0) { remainder[shift + i] = carry + base; carry = 0; } else { remainder[shift + i] = carry; carry = 1; } } borrow += carry; } result[shift] = quotientDigit; } // denormalization
remainder = divModSmall(remainder, lambda)[0]; return [arrayToSmall(result), arrayToSmall(remainder)]; }
function divMod2(a, b) { // Implementation idea shamelessly stolen from Silent Matt's library http://silentmatt.com/biginteger/
// Performs faster than divMod1 on larger input sizes.
var a_l = a.length, b_l = b.length, result = [], part = [], base = BASE, guess, xlen, highx, highy, check; while (a_l) { part.unshift(a[--a_l]); trim(part); if (compareAbs(part, b) < 0) { result.push(0); continue; } xlen = part.length; highx = part[xlen - 1] * base + part[xlen - 2]; highy = b[b_l - 1] * base + b[b_l - 2]; if (xlen > b_l) { highx = (highx + 1) * base; } guess = Math.ceil(highx / highy); do { check = multiplySmall(b, guess); if (compareAbs(check, part) <= 0) break; guess--; } while (guess); result.push(guess); part = subtract(part, check); } result.reverse(); return [arrayToSmall(result), arrayToSmall(part)]; }
function divModSmall(value, lambda) { var length = value.length, quotient = createArray(length), base = BASE, i, q, remainder, divisor; remainder = 0; for (i = length - 1; i >= 0; --i) { divisor = remainder * base + value[i]; q = truncate(divisor / lambda); remainder = divisor - q * lambda; quotient[i] = q | 0; } return [quotient, remainder | 0]; }
function divModAny(self, v) { var value, n = parseValue(v); if (supportsNativeBigInt) { return [new NativeBigInt(self.value / n.value), new NativeBigInt(self.value % n.value)]; } var a = self.value, b = n.value; var quotient; if (b === 0) throw new Error("Cannot divide by zero"); if (self.isSmall) { if (n.isSmall) { return [new SmallInteger(truncate(a / b)), new SmallInteger(a % b)]; } return [Integer[0], self]; } if (n.isSmall) { if (b === 1) return [self, Integer[0]]; if (b == -1) return [self.negate(), Integer[0]]; var abs = Math.abs(b); if (abs < BASE) { value = divModSmall(a, abs); quotient = arrayToSmall(value[0]); var remainder = value[1]; if (self.sign) remainder = -remainder; if (typeof quotient === "number") { if (self.sign !== n.sign) quotient = -quotient; return [new SmallInteger(quotient), new SmallInteger(remainder)]; } return [new BigInteger(quotient, self.sign !== n.sign), new SmallInteger(remainder)]; } b = smallToArray(abs); } var comparison = compareAbs(a, b); if (comparison === -1) return [Integer[0], self]; if (comparison === 0) return [Integer[self.sign === n.sign ? 1 : -1], Integer[0]];
// divMod1 is faster on smaller input sizes
if (a.length + b.length <= 200) value = divMod1(a, b); else value = divMod2(a, b);
quotient = value[0]; var qSign = self.sign !== n.sign, mod = value[1], mSign = self.sign; if (typeof quotient === "number") { if (qSign) quotient = -quotient; quotient = new SmallInteger(quotient); } else quotient = new BigInteger(quotient, qSign); if (typeof mod === "number") { if (mSign) mod = -mod; mod = new SmallInteger(mod); } else mod = new BigInteger(mod, mSign); return [quotient, mod]; }
BigInteger.prototype.divmod = function (v) { var result = divModAny(this, v); return { quotient: result[0], remainder: result[1] }; }; NativeBigInt.prototype.divmod = SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
BigInteger.prototype.divide = function (v) { return divModAny(this, v)[0]; }; NativeBigInt.prototype.over = NativeBigInt.prototype.divide = function (v) { return new NativeBigInt(this.value / parseValue(v).value); }; SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over = BigInteger.prototype.divide;
BigInteger.prototype.mod = function (v) { return divModAny(this, v)[1]; }; NativeBigInt.prototype.mod = NativeBigInt.prototype.remainder = function (v) { return new NativeBigInt(this.value % parseValue(v).value); }; SmallInteger.prototype.remainder = SmallInteger.prototype.mod = BigInteger.prototype.remainder = BigInteger.prototype.mod;
BigInteger.prototype.pow = function (v) { var n = parseValue(v), a = this.value, b = n.value, value, x, y; if (b === 0) return Integer[1]; if (a === 0) return Integer[0]; if (a === 1) return Integer[1]; if (a === -1) return n.isEven() ? Integer[1] : Integer[-1]; if (n.sign) { return Integer[0]; } if (!n.isSmall) throw new Error("The exponent " + n.toString() + " is too large."); if (this.isSmall) { if (isPrecise(value = Math.pow(a, b))) return new SmallInteger(truncate(value)); } x = this; y = Integer[1]; while (true) { if (b & 1 === 1) { y = y.times(x); --b; } if (b === 0) break; b /= 2; x = x.square(); } return y; }; SmallInteger.prototype.pow = BigInteger.prototype.pow;
NativeBigInt.prototype.pow = function (v) { var n = parseValue(v); var a = this.value, b = n.value; var _0 = BigInt(0), _1 = BigInt(1), _2 = BigInt(2); if (b === _0) return Integer[1]; if (a === _0) return Integer[0]; if (a === _1) return Integer[1]; if (a === BigInt(-1)) return n.isEven() ? Integer[1] : Integer[-1]; if (n.isNegative()) return new NativeBigInt(_0); var x = this; var y = Integer[1]; while (true) { if ((b & _1) === _1) { y = y.times(x); --b; } if (b === _0) break; b /= _2; x = x.square(); } return y; }
BigInteger.prototype.modPow = function (exp, mod) { exp = parseValue(exp); mod = parseValue(mod); if (mod.isZero()) throw new Error("Cannot take modPow with modulus 0"); var r = Integer[1], base = this.mod(mod); while (exp.isPositive()) { if (base.isZero()) return Integer[0]; if (exp.isOdd()) r = r.multiply(base).mod(mod); exp = exp.divide(2); base = base.square().mod(mod); } return r; }; NativeBigInt.prototype.modPow = SmallInteger.prototype.modPow = BigInteger.prototype.modPow;
function compareAbs(a, b) { if (a.length !== b.length) { return a.length > b.length ? 1 : -1; } for (var i = a.length - 1; i >= 0; i--) { if (a[i] !== b[i]) return a[i] > b[i] ? 1 : -1; } return 0; }
BigInteger.prototype.compareAbs = function (v) { var n = parseValue(v), a = this.value, b = n.value; if (n.isSmall) return 1; return compareAbs(a, b); }; SmallInteger.prototype.compareAbs = function (v) { var n = parseValue(v), a = Math.abs(this.value), b = n.value; if (n.isSmall) { b = Math.abs(b); return a === b ? 0 : a > b ? 1 : -1; } return -1; }; NativeBigInt.prototype.compareAbs = function (v) { var a = this.value; var b = parseValue(v).value; a = a >= 0 ? a : -a; b = b >= 0 ? b : -b; return a === b ? 0 : a > b ? 1 : -1; }
BigInteger.prototype.compare = function (v) { // See discussion about comparison with Infinity:
// https://github.com/peterolson/BigInteger.js/issues/61
if (v === Infinity) { return -1; } if (v === -Infinity) { return 1; }
var n = parseValue(v), a = this.value, b = n.value; if (this.sign !== n.sign) { return n.sign ? 1 : -1; } if (n.isSmall) { return this.sign ? -1 : 1; } return compareAbs(a, b) * (this.sign ? -1 : 1); }; BigInteger.prototype.compareTo = BigInteger.prototype.compare;
SmallInteger.prototype.compare = function (v) { if (v === Infinity) { return -1; } if (v === -Infinity) { return 1; }
var n = parseValue(v), a = this.value, b = n.value; if (n.isSmall) { return a == b ? 0 : a > b ? 1 : -1; } if (a < 0 !== n.sign) { return a < 0 ? -1 : 1; } return a < 0 ? 1 : -1; }; SmallInteger.prototype.compareTo = SmallInteger.prototype.compare;
NativeBigInt.prototype.compare = function (v) { if (v === Infinity) { return -1; } if (v === -Infinity) { return 1; } var a = this.value; var b = parseValue(v).value; return a === b ? 0 : a > b ? 1 : -1; } NativeBigInt.prototype.compareTo = NativeBigInt.prototype.compare;
BigInteger.prototype.equals = function (v) { return this.compare(v) === 0; }; NativeBigInt.prototype.eq = NativeBigInt.prototype.equals = SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq = BigInteger.prototype.equals;
BigInteger.prototype.notEquals = function (v) { return this.compare(v) !== 0; }; NativeBigInt.prototype.neq = NativeBigInt.prototype.notEquals = SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq = BigInteger.prototype.notEquals;
BigInteger.prototype.greater = function (v) { return this.compare(v) > 0; }; NativeBigInt.prototype.gt = NativeBigInt.prototype.greater = SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt = BigInteger.prototype.greater;
BigInteger.prototype.lesser = function (v) { return this.compare(v) < 0; }; NativeBigInt.prototype.lt = NativeBigInt.prototype.lesser = SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt = BigInteger.prototype.lesser;
BigInteger.prototype.greaterOrEquals = function (v) { return this.compare(v) >= 0; }; NativeBigInt.prototype.geq = NativeBigInt.prototype.greaterOrEquals = SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq = BigInteger.prototype.greaterOrEquals;
BigInteger.prototype.lesserOrEquals = function (v) { return this.compare(v) <= 0; }; NativeBigInt.prototype.leq = NativeBigInt.prototype.lesserOrEquals = SmallInteger.prototype.leq = SmallInteger.prototype.lesserOrEquals = BigInteger.prototype.leq = BigInteger.prototype.lesserOrEquals;
BigInteger.prototype.isEven = function () { return (this.value[0] & 1) === 0; }; SmallInteger.prototype.isEven = function () { return (this.value & 1) === 0; }; NativeBigInt.prototype.isEven = function () { return (this.value & BigInt(1)) === BigInt(0); }
BigInteger.prototype.isOdd = function () { return (this.value[0] & 1) === 1; }; SmallInteger.prototype.isOdd = function () { return (this.value & 1) === 1; }; NativeBigInt.prototype.isOdd = function () { return (this.value & BigInt(1)) === BigInt(1); }
BigInteger.prototype.isPositive = function () { return !this.sign; }; SmallInteger.prototype.isPositive = function () { return this.value > 0; }; NativeBigInt.prototype.isPositive = SmallInteger.prototype.isPositive;
BigInteger.prototype.isNegative = function () { return this.sign; }; SmallInteger.prototype.isNegative = function () { return this.value < 0; }; NativeBigInt.prototype.isNegative = SmallInteger.prototype.isNegative;
BigInteger.prototype.isUnit = function () { return false; }; SmallInteger.prototype.isUnit = function () { return Math.abs(this.value) === 1; }; NativeBigInt.prototype.isUnit = function () { return this.abs().value === BigInt(1); }
BigInteger.prototype.isZero = function () { return false; }; SmallInteger.prototype.isZero = function () { return this.value === 0; }; NativeBigInt.prototype.isZero = function () { return this.value === BigInt(0); }
BigInteger.prototype.isDivisibleBy = function (v) { var n = parseValue(v); if (n.isZero()) return false; if (n.isUnit()) return true; if (n.compareAbs(2) === 0) return this.isEven(); return this.mod(n).isZero(); }; NativeBigInt.prototype.isDivisibleBy = SmallInteger.prototype.isDivisibleBy = BigInteger.prototype.isDivisibleBy;
function isBasicPrime(v) { var n = v.abs(); if (n.isUnit()) return false; if (n.equals(2) || n.equals(3) || n.equals(5)) return true; if (n.isEven() || n.isDivisibleBy(3) || n.isDivisibleBy(5)) return false; if (n.lesser(49)) return true; // we don't know if it's prime: let the other functions figure it out
}
function millerRabinTest(n, a) { var nPrev = n.prev(), b = nPrev, r = 0, d, t, i, x; while (b.isEven()) b = b.divide(2), r++; next: for (i = 0; i < a.length; i++) { if (n.lesser(a[i])) continue; x = bigInt(a[i]).modPow(b, n); if (x.isUnit() || x.equals(nPrev)) continue; for (d = r - 1; d != 0; d--) { x = x.square().mod(n); if (x.isUnit()) return false; if (x.equals(nPrev)) continue next; } return false; } return true; }
// Set "strict" to true to force GRH-supported lower bound of 2*log(N)^2
BigInteger.prototype.isPrime = function (strict) { var isPrime = isBasicPrime(this); if (isPrime !== undefined) return isPrime; var n = this.abs(); var bits = n.bitLength(); if (bits <= 64) return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]); var logN = Math.log(2) * bits.toJSNumber(); var t = Math.ceil((strict === true) ? (2 * Math.pow(logN, 2)) : logN); for (var a = [], i = 0; i < t; i++) { a.push(bigInt(i + 2)); } return millerRabinTest(n, a); }; NativeBigInt.prototype.isPrime = SmallInteger.prototype.isPrime = BigInteger.prototype.isPrime;
BigInteger.prototype.isProbablePrime = function (iterations) { var isPrime = isBasicPrime(this); if (isPrime !== undefined) return isPrime; var n = this.abs(); var t = iterations === undefined ? 5 : iterations; for (var a = [], i = 0; i < t; i++) { a.push(bigInt.randBetween(2, n.minus(2))); } return millerRabinTest(n, a); }; NativeBigInt.prototype.isProbablePrime = SmallInteger.prototype.isProbablePrime = BigInteger.prototype.isProbablePrime;
BigInteger.prototype.modInv = function (n) { var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR; while (!newR.isZero()) { q = r.divide(newR); lastT = t; lastR = r; t = newT; r = newR; newT = lastT.subtract(q.multiply(newT)); newR = lastR.subtract(q.multiply(newR)); } if (!r.isUnit()) throw new Error(this.toString() + " and " + n.toString() + " are not co-prime"); if (t.compare(0) === -1) { t = t.add(n); } if (this.isNegative()) { return t.negate(); } return t; };
NativeBigInt.prototype.modInv = SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
BigInteger.prototype.next = function () { var value = this.value; if (this.sign) { return subtractSmall(value, 1, this.sign); } return new BigInteger(addSmall(value, 1), this.sign); }; SmallInteger.prototype.next = function () { var value = this.value; if (value + 1 < MAX_INT) return new SmallInteger(value + 1); return new BigInteger(MAX_INT_ARR, false); }; NativeBigInt.prototype.next = function () { return new NativeBigInt(this.value + BigInt(1)); }
BigInteger.prototype.prev = function () { var value = this.value; if (this.sign) { return new BigInteger(addSmall(value, 1), true); } return subtractSmall(value, 1, this.sign); }; SmallInteger.prototype.prev = function () { var value = this.value; if (value - 1 > -MAX_INT) return new SmallInteger(value - 1); return new BigInteger(MAX_INT_ARR, true); }; NativeBigInt.prototype.prev = function () { return new NativeBigInt(this.value - BigInt(1)); }
var powersOfTwo = [1]; while (2 * powersOfTwo[powersOfTwo.length - 1] <= BASE) powersOfTwo.push(2 * powersOfTwo[powersOfTwo.length - 1]); var powers2Length = powersOfTwo.length, highestPower2 = powersOfTwo[powers2Length - 1];
function shift_isSmall(n) { return Math.abs(n) <= BASE; }
BigInteger.prototype.shiftLeft = function (v) { var n = parseValue(v).toJSNumber(); if (!shift_isSmall(n)) { throw new Error(String(n) + " is too large for shifting."); } if (n < 0) return this.shiftRight(-n); var result = this; if (result.isZero()) return result; while (n >= powers2Length) { result = result.multiply(highestPower2); n -= powers2Length - 1; } return result.multiply(powersOfTwo[n]); }; NativeBigInt.prototype.shiftLeft = SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
BigInteger.prototype.shiftRight = function (v) { var remQuo; var n = parseValue(v).toJSNumber(); if (!shift_isSmall(n)) { throw new Error(String(n) + " is too large for shifting."); } if (n < 0) return this.shiftLeft(-n); var result = this; while (n >= powers2Length) { if (result.isZero() || (result.isNegative() && result.isUnit())) return result; remQuo = divModAny(result, highestPower2); result = remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0]; n -= powers2Length - 1; } remQuo = divModAny(result, powersOfTwo[n]); return remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0]; }; NativeBigInt.prototype.shiftRight = SmallInteger.prototype.shiftRight = BigInteger.prototype.shiftRight;
function bitwise(x, y, fn) { y = parseValue(y); var xSign = x.isNegative(), ySign = y.isNegative(); var xRem = xSign ? x.not() : x, yRem = ySign ? y.not() : y; var xDigit = 0, yDigit = 0; var xDivMod = null, yDivMod = null; var result = []; while (!xRem.isZero() || !yRem.isZero()) { xDivMod = divModAny(xRem, highestPower2); xDigit = xDivMod[1].toJSNumber(); if (xSign) { xDigit = highestPower2 - 1 - xDigit; // two's complement for negative numbers
}
yDivMod = divModAny(yRem, highestPower2); yDigit = yDivMod[1].toJSNumber(); if (ySign) { yDigit = highestPower2 - 1 - yDigit; // two's complement for negative numbers
}
xRem = xDivMod[0]; yRem = yDivMod[0]; result.push(fn(xDigit, yDigit)); } var sum = fn(xSign ? 1 : 0, ySign ? 1 : 0) !== 0 ? bigInt(-1) : bigInt(0); for (var i = result.length - 1; i >= 0; i -= 1) { sum = sum.multiply(highestPower2).add(bigInt(result[i])); } return sum; }
BigInteger.prototype.not = function () { return this.negate().prev(); }; NativeBigInt.prototype.not = SmallInteger.prototype.not = BigInteger.prototype.not;
BigInteger.prototype.and = function (n) { return bitwise(this, n, function (a, b) { return a & b; }); }; NativeBigInt.prototype.and = SmallInteger.prototype.and = BigInteger.prototype.and;
BigInteger.prototype.or = function (n) { return bitwise(this, n, function (a, b) { return a | b; }); }; NativeBigInt.prototype.or = SmallInteger.prototype.or = BigInteger.prototype.or;
BigInteger.prototype.xor = function (n) { return bitwise(this, n, function (a, b) { return a ^ b; }); }; NativeBigInt.prototype.xor = SmallInteger.prototype.xor = BigInteger.prototype.xor;
var LOBMASK_I = 1 << 30, LOBMASK_BI = (BASE & -BASE) * (BASE & -BASE) | LOBMASK_I; function roughLOB(n) { // get lowestOneBit (rough)
// SmallInteger: return Min(lowestOneBit(n), 1 << 30)
// BigInteger: return Min(lowestOneBit(n), 1 << 14) [BASE=1e7]
var v = n.value, x = typeof v === "number" ? v | LOBMASK_I : typeof v === "bigint" ? v | BigInt(LOBMASK_I) : v[0] + v[1] * BASE | LOBMASK_BI; return x & -x; }
function integerLogarithm(value, base) { if (base.compareTo(value) <= 0) { var tmp = integerLogarithm(value, base.square(base)); var p = tmp.p; var e = tmp.e; var t = p.multiply(base); return t.compareTo(value) <= 0 ? { p: t, e: e * 2 + 1 } : { p: p, e: e * 2 }; } return { p: bigInt(1), e: 0 }; }
BigInteger.prototype.bitLength = function () { var n = this; if (n.compareTo(bigInt(0)) < 0) { n = n.negate().subtract(bigInt(1)); } if (n.compareTo(bigInt(0)) === 0) { return bigInt(0); } return bigInt(integerLogarithm(n, bigInt(2)).e).add(bigInt(1)); } NativeBigInt.prototype.bitLength = SmallInteger.prototype.bitLength = BigInteger.prototype.bitLength;
function max(a, b) { a = parseValue(a); b = parseValue(b); return a.greater(b) ? a : b; } function min(a, b) { a = parseValue(a); b = parseValue(b); return a.lesser(b) ? a : b; } function gcd(a, b) { a = parseValue(a).abs(); b = parseValue(b).abs(); if (a.equals(b)) return a; if (a.isZero()) return b; if (b.isZero()) return a; var c = Integer[1], d, t; while (a.isEven() && b.isEven()) { d = min(roughLOB(a), roughLOB(b)); a = a.divide(d); b = b.divide(d); c = c.multiply(d); } while (a.isEven()) { a = a.divide(roughLOB(a)); } do { while (b.isEven()) { b = b.divide(roughLOB(b)); } if (a.greater(b)) { t = b; b = a; a = t; } b = b.subtract(a); } while (!b.isZero()); return c.isUnit() ? a : a.multiply(c); } function lcm(a, b) { a = parseValue(a).abs(); b = parseValue(b).abs(); return a.divide(gcd(a, b)).multiply(b); } function randBetween(a, b) { a = parseValue(a); b = parseValue(b); var low = min(a, b), high = max(a, b); var range = high.subtract(low).add(1); if (range.isSmall) return low.add(Math.floor(Math.random() * range)); var digits = toBase(range, BASE).value; var result = [], restricted = true; for (var i = 0; i < digits.length; i++) { var top = restricted ? digits[i] : BASE; var digit = truncate(Math.random() * top); result.push(digit); if (digit < top) restricted = false; } return low.add(Integer.fromArray(result, BASE, false)); }
var parseBase = function (text, base, alphabet, caseSensitive) { alphabet = alphabet || DEFAULT_ALPHABET; text = String(text); if (!caseSensitive) { text = text.toLowerCase(); alphabet = alphabet.toLowerCase(); } var length = text.length; var i; var absBase = Math.abs(base); var alphabetValues = {}; for (i = 0; i < alphabet.length; i++) { alphabetValues[alphabet[i]] = i; } for (i = 0; i < length; i++) { var c = text[i]; if (c === "-") continue; if (c in alphabetValues) { if (alphabetValues[c] >= absBase) { if (c === "1" && absBase === 1) continue; throw new Error(c + " is not a valid digit in base " + base + "."); } } } base = parseValue(base); var digits = []; var isNegative = text[0] === "-"; for (i = isNegative ? 1 : 0; i < text.length; i++) { var c = text[i]; if (c in alphabetValues) digits.push(parseValue(alphabetValues[c])); else if (c === "<") { var start = i; do { i++; } while (text[i] !== ">" && i < text.length); digits.push(parseValue(text.slice(start + 1, i))); } else throw new Error(c + " is not a valid character"); } return parseBaseFromArray(digits, base, isNegative); };
function parseBaseFromArray(digits, base, isNegative) { var val = Integer[0], pow = Integer[1], i; for (i = digits.length - 1; i >= 0; i--) { val = val.add(digits[i].times(pow)); pow = pow.times(base); } return isNegative ? val.negate() : val; }
function stringify(digit, alphabet) { alphabet = alphabet || DEFAULT_ALPHABET; if (digit < alphabet.length) { return alphabet[digit]; } return "<" + digit + ">"; }
function toBase(n, base) { base = bigInt(base); if (base.isZero()) { if (n.isZero()) return { value: [0], isNegative: false }; throw new Error("Cannot convert nonzero numbers to base 0."); } if (base.equals(-1)) { if (n.isZero()) return { value: [0], isNegative: false }; if (n.isNegative()) return { value: [].concat.apply([], Array.apply(null, Array(-n.toJSNumber())) .map(Array.prototype.valueOf, [1, 0]) ), isNegative: false };
var arr = Array.apply(null, Array(n.toJSNumber() - 1)) .map(Array.prototype.valueOf, [0, 1]); arr.unshift([1]); return { value: [].concat.apply([], arr), isNegative: false }; }
var neg = false; if (n.isNegative() && base.isPositive()) { neg = true; n = n.abs(); } if (base.isUnit()) { if (n.isZero()) return { value: [0], isNegative: false };
return { value: Array.apply(null, Array(n.toJSNumber())) .map(Number.prototype.valueOf, 1), isNegative: neg }; } var out = []; var left = n, divmod; while (left.isNegative() || left.compareAbs(base) >= 0) { divmod = left.divmod(base); left = divmod.quotient; var digit = divmod.remainder; if (digit.isNegative()) { digit = base.minus(digit).abs(); left = left.next(); } out.push(digit.toJSNumber()); } out.push(left.toJSNumber()); return { value: out.reverse(), isNegative: neg }; }
function toBaseString(n, base, alphabet) { var arr = toBase(n, base); return (arr.isNegative ? "-" : "") + arr.value.map(function (x) { return stringify(x, alphabet); }).join(''); }
BigInteger.prototype.toArray = function (radix) { return toBase(this, radix); };
SmallInteger.prototype.toArray = function (radix) { return toBase(this, radix); };
NativeBigInt.prototype.toArray = function (radix) { return toBase(this, radix); };
BigInteger.prototype.toString = function (radix, alphabet) { if (radix === undefined) radix = 10; if (radix !== 10) return toBaseString(this, radix, alphabet); var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit; while (--l >= 0) { digit = String(v[l]); str += zeros.slice(digit.length) + digit; } var sign = this.sign ? "-" : ""; return sign + str; };
SmallInteger.prototype.toString = function (radix, alphabet) { if (radix === undefined) radix = 10; if (radix != 10) return toBaseString(this, radix, alphabet); return String(this.value); };
NativeBigInt.prototype.toString = SmallInteger.prototype.toString;
NativeBigInt.prototype.toJSON = BigInteger.prototype.toJSON = SmallInteger.prototype.toJSON = function () { return this.toString(); }
BigInteger.prototype.valueOf = function () { return parseInt(this.toString(), 10); }; BigInteger.prototype.toJSNumber = BigInteger.prototype.valueOf;
SmallInteger.prototype.valueOf = function () { return this.value; }; SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf; NativeBigInt.prototype.valueOf = NativeBigInt.prototype.toJSNumber = function () { return parseInt(this.toString(), 10); }
function parseStringValue(v) { if (isPrecise(+v)) { var x = +v; if (x === truncate(x)) return supportsNativeBigInt ? new NativeBigInt(BigInt(x)) : new SmallInteger(x); throw new Error("Invalid integer: " + v); } var sign = v[0] === "-"; if (sign) v = v.slice(1); var split = v.split(/e/i); if (split.length > 2) throw new Error("Invalid integer: " + split.join("e")); if (split.length === 2) { var exp = split[1]; if (exp[0] === "+") exp = exp.slice(1); exp = +exp; if (exp !== truncate(exp) || !isPrecise(exp)) throw new Error("Invalid integer: " + exp + " is not a valid exponent."); var text = split[0]; var decimalPlace = text.indexOf("."); if (decimalPlace >= 0) { exp -= text.length - decimalPlace - 1; text = text.slice(0, decimalPlace) + text.slice(decimalPlace + 1); } if (exp < 0) throw new Error("Cannot include negative exponent part for integers"); text += (new Array(exp + 1)).join("0"); v = text; } var isValid = /^([0-9][0-9]*)$/.test(v); if (!isValid) throw new Error("Invalid integer: " + v); if (supportsNativeBigInt) { return new NativeBigInt(BigInt(sign ? "-" + v : v)); } var r = [], max = v.length, l = LOG_BASE, min = max - l; while (max > 0) { r.push(+v.slice(min, max)); min -= l; if (min < 0) min = 0; max -= l; } trim(r); return new BigInteger(r, sign); }
function parseNumberValue(v) { if (supportsNativeBigInt) { return new NativeBigInt(BigInt(v)); } if (isPrecise(v)) { if (v !== truncate(v)) throw new Error(v + " is not an integer."); return new SmallInteger(v); } return parseStringValue(v.toString()); }
function parseValue(v) { if (typeof v === "number") { return parseNumberValue(v); } if (typeof v === "string") { return parseStringValue(v); } if (typeof v === "bigint") { return new NativeBigInt(v); } return v; } // Pre-define numbers in range [-999,999]
for (var i = 0; i < 1000; i++) { Integer[i] = parseValue(i); if (i > 0) Integer[-i] = parseValue(-i); } // Backwards compatibility
Integer.one = Integer[1]; Integer.zero = Integer[0]; Integer.minusOne = Integer[-1]; Integer.max = max; Integer.min = min; Integer.gcd = gcd; Integer.lcm = lcm; Integer.isInstance = function (x) { return x instanceof BigInteger || x instanceof SmallInteger || x instanceof NativeBigInt; }; Integer.randBetween = randBetween;
Integer.fromArray = function (digits, base, isNegative) { return parseBaseFromArray(digits.map(parseValue), parseValue(base || 10), isNegative); };
return Integer; })();
// Node.js check
if (typeof module !== "undefined" && module.hasOwnProperty("exports")) { module.exports = bigInt; }
//amd check
if (typeof define === "function" && define.amd) { define("big-integer", [], function () { return bigInt; }); }
},{}],3:[function(require,module,exports){ /* globals WebAssembly */ const bigInt = require("big-integer"); const ModuleBuilder = require("./wasmbuilder/index.js"); const buildF1m = require("./build_f1m.js"); const buildF2m = require("./build_f2m.js"); const buildF1 = require("./build_f1.js"); const buildCurve = require("./build_curve.js"); const buildTest = require("./build_testg1"); const buildFFT = require("./build_fft"); const buildMultiexp = require("./build_multiexp"); const buildPol = require("./build_pol"); const utils = require("./utils");
async function build() { const bn128 = new Bn128();
bn128.q = bigInt("21888242871839275222246405745257275088696311157297823662689037894645226208583"); bn128.r = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); bn128.n64 = Math.floor((bn128.q.minus(1).bitLength() - 1)/64) +1; bn128.n32 = bn128.n64*2; bn128.n8 = bn128.n64*8;
bn128.memory = new WebAssembly.Memory({initial:10000}); bn128.i32 = new Uint32Array(bn128.memory.buffer);
const moduleBuilder = new ModuleBuilder(); moduleBuilder.setMemory(10000); buildF1m(moduleBuilder, bn128.q, "f1m"); buildF1(moduleBuilder, bn128.r, "fr", "frm"); buildCurve(moduleBuilder, "g1", "f1m"); buildMultiexp(moduleBuilder, "g1", "g1", "f1m", "fr"); buildFFT(moduleBuilder, "fft", "frm"); buildPol(moduleBuilder, "pol", "frm");
const pNonResidueF2 = moduleBuilder.alloc( utils.bigInt2BytesLE( bigInt("15537367993719455909907449462855742678907882278146377936676643359958227611562"), // -1 in montgomery
bn128.n8 ) );
buildF2m(moduleBuilder, pNonResidueF2, "f2m", "f1m"); buildCurve(moduleBuilder, "g2", "f2m"); buildMultiexp(moduleBuilder, "g2", "g2", "f2m", "fr");
buildTest(moduleBuilder);
const code = moduleBuilder.build();
const wasmModule = await WebAssembly.compile(code);
bn128.instance = await WebAssembly.instantiate(wasmModule, { env: { "memory": bn128.memory } });
bn128.pq = moduleBuilder.modules.f1m.pq; bn128.pr = moduleBuilder.modules.frm.pq;
bn128.pg1 = bn128.g1_allocPoint([bigInt(1), bigInt(2), bigInt(1)]);
Object.assign(bn128, bn128.instance.exports);
return bn128; }
class Bn128 {
constructor() {
}
alloc(length) { while (this.i32[0] & 3) this.i32[0]++; // Return always aligned pointers
const res = this.i32[0]; this.i32[0] += length; return res; }
putInt(pos, _a) { const a = bigInt(_a); if (pos & 0x7) throw new Error("Pointer must be aligned"); if (a.bitLength > this.n64*64) { return this.putInt(a.mod(this.q)); } for (let i=0; i<this.n32; i++) { this.i32[(pos>>2)+i] = a.shiftRight(i*32).and(0xFFFFFFFF).toJSNumber(); } }
getInt(pos) { if (pos & 0x7) throw new Error("Pointer must be aligned"); let acc = bigInt(this.i32[(pos>>2)+this.n32-1]); for (let i=this.n32-2; i>=0; i--) { acc = acc.shiftLeft(32); acc = acc.add(this.i32[(pos>>2)+i]); } return acc; }
allocInt(_a) { const p = this.alloc(this.n8); if (_a) this.putInt(p, _a); return p; }
putIntF2(pos, a) { this.putInt(pos, a[0]); this.putInt(pos+this.n8, a[1]); }
getIntF2(pos) { const p = Array(2); p[0] = this.getInt(pos); p[1] = this.getInt(pos+this.n8); return p; }
allocIntF2(a) { const pP = this.alloc(this.n8*2); if (a) { this.putIntF2(pP, a); } return pP; }
g1_putPoint(pos, p) { this.putInt(pos, p[0]); this.putInt(pos+this.n8, p[1]); if (p.length == 3) { this.putInt(pos+this.n8*2, p[2]); } else { this.putInt(pos+this.n8*2, 1); } }
g1_getPoint(pos) { const p = Array(3); p[0] = this.getInt(pos); p[1] = this.getInt(pos+this.n8); p[2] = this.getInt(pos+this.n8*2); return p; }
g1_allocPoint(p) { const pP = this.alloc(this.n8*3); if (p) { this.g1_putPoint(pP, p); } return pP; }
g2_putPoint(pos, p) { this.putIntF2(pos, p[0]); this.putIntF2(pos+this.n8*2, p[1]); if (p.length == 3) { this.putIntF2(pos+this.n8*4, p[2]); } else { this.putIntF2(pos+this.n8*4, 1); } }
g2_getPoint(pos) { const p = Array(3); p[0] = this.getIntF2(pos); p[1] = this.getIntF2(pos+this.n8*2); p[2] = this.getIntF2(pos+this.n8*4); return p; }
g2_allocPoint(p) { const pP = this.alloc(this.n8*6); if (p) { this.g2_putPoint(pP, p); } return pP; }
putBin(b) { const p = this.alloc(b.byteLength); const s32 = new Uint32Array(b); this.i32.set(s32, p/4); return p; }
test_AddG1(n) { const start = new Date().getTime();
const pg = this.g1_allocPoint([bigInt(1), bigInt(2), bigInt(1)]); this.g1_toMontgomery(pg,pg); const p2 = this.g1_allocPoint(); this.instance.exports.testAddG1(n, pg, p2); this.g1_fromMontgomery(p2,p2);
const end = new Date().getTime(); const time = end - start;
return time; }
test_fft(n) {
const N=n;
const p = this.i32[0]; for (let i=0; i<N; i++) { this.putInt(p+i*32, i); }
const start = new Date().getTime(); this.fft_ifft(p, N); const end = new Date().getTime(); const time = end - start;
return time; }
}
module.exports = build;
},{"./build_curve.js":4,"./build_f1.js":5,"./build_f1m.js":6,"./build_f2m.js":7,"./build_fft":8,"./build_multiexp":10,"./build_pol":11,"./build_testg1":13,"./utils":17,"./wasmbuilder/index.js":20,"big-integer":2}],4:[function(require,module,exports){
const buildTimesScalar = require("./build_timesscalar");
module.exports = function buildCurve(module, prefix, prefixField) {
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 buildCopy() { const f = module.addFunction(prefix + "_copy"); f.addParam("p1", "i32"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode(c.call( prefixField + "_copy", c.getLocal("p1"), c.getLocal("pr") ));
f.addCode(c.call( prefixField + "_copy", c.i32_add( c.getLocal("p1"), c.i32_const(n8) ), c.i32_add( c.getLocal("pr"), c.i32_const(n8) ) ));
f.addCode(c.call( prefixField + "_copy", c.i32_add( c.getLocal("p1"), c.i32_const(n8*2) ), c.i32_add( c.getLocal("pr"), c.i32_const(n8*2) ) )); }
function buildZero() { const f = module.addFunction(prefix + "_zero"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode(c.call( prefixField + "_zero", c.getLocal("pr") ));
f.addCode(c.call( prefixField + "_one", c.i32_add( c.getLocal("pr"), c.i32_const(n8) ) ));
f.addCode(c.call( prefixField + "_zero", c.i32_add( c.getLocal("pr"), c.i32_const(n8*2) ) )); }
function buildDouble() { const f = module.addFunction(prefix + "_double"); 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(n8)); const z = c.i32_add(c.getLocal("p1"), c.i32_const(n8*2)); const x3 = c.getLocal("pr"); const y3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8)); const z3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8*2));
const A = c.i32_const(module.alloc(n8)); const B = c.i32_const(module.alloc(n8)); const C = c.i32_const(module.alloc(n8)); const D = c.i32_const(module.alloc(n8)); const E = c.i32_const(module.alloc(n8)); const F = c.i32_const(module.alloc(n8)); const G = c.i32_const(module.alloc(n8)); const eightC = c.i32_const(module.alloc(n8));
f.addCode( c.if( c.call(prefix + "_isZero", c.getLocal("p1")), [ ...c.call(prefix + "_copy", c.getLocal("p1"), c.getLocal("pr")), ...c.ret([]) ] ),
c.call(prefixField + "_mul", x, x, A), c.call(prefixField + "_mul", y, y, B), c.call(prefixField + "_mul", B, B, C),
c.call(prefixField + "_add", x, B, D), c.call(prefixField + "_mul", D, D, D), c.call(prefixField + "_sub", D, A, D), c.call(prefixField + "_sub", D, C, D), c.call(prefixField + "_add", D, D, D),
c.call(prefixField + "_add", A, A, E), c.call(prefixField + "_add", E, A, E), c.call(prefixField + "_mul", E, E, F),
c.call(prefixField + "_mul", y, z, G),
c.call(prefixField + "_add", D, D, x3), c.call(prefixField + "_sub", F, x3, x3),
c.call(prefixField + "_add", C, C, eightC), c.call(prefixField + "_add", eightC, eightC, eightC), c.call(prefixField + "_add", eightC, eightC, eightC),
c.call(prefixField + "_sub", D, x3, y3), c.call(prefixField + "_mul", y3, E, y3), c.call(prefixField + "_sub", y3, eightC, y3),
c.call(prefixField + "_add", G, G, z3), ); }
function buildToMontgomery() { const f = module.addFunction(prefix + "_toMontgomery"); f.addParam("p1", "i32"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode(c.call( prefixField + "_toMontgomery", c.getLocal("p1"), c.getLocal("pr") )); for (let i=1; i<3; i++) { f.addCode(c.call( prefixField + "_toMontgomery", c.i32_add(c.getLocal("p1"), c.i32_const(i*n8)), c.i32_add(c.getLocal("pr"), c.i32_const(i*n8)) )); } }
function buildFromMontgomery() { const f = module.addFunction(prefix + "_fromMontgomery"); f.addParam("p1", "i32"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode(c.call( prefixField + "_fromMontgomery", c.getLocal("p1"), c.getLocal("pr") )); for (let i=1; i<3; i++) { f.addCode(c.call( prefixField + "_fromMontgomery", c.i32_add(c.getLocal("p1"), c.i32_const(i*n8)), c.i32_add(c.getLocal("pr"), c.i32_const(i*n8)) )); } }
function buildAdd() {
const f = module.addFunction(prefix + "_add"); f.addParam("p1", "i32"); f.addParam("p2", "i32"); f.addParam("pr", "i32"); f.addLocal("z1", "i32"); f.addLocal("z2", "i32");
const c = f.getCodeBuilder();
const x1 = c.getLocal("p1"); const y1 = c.i32_add(c.getLocal("p1"), c.i32_const(n8)); f.addCode(c.setLocal("z1", c.i32_add(c.getLocal("p1"), c.i32_const(n8*2)))); const z1 = c.getLocal("z1"); const x2 = c.getLocal("p2"); const y2 = c.i32_add(c.getLocal("p2"), c.i32_const(n8)); f.addCode(c.setLocal("z2", c.i32_add(c.getLocal("p2"), c.i32_const(n8*2)))); const z2 = c.getLocal("z2"); const x3 = c.getLocal("pr"); const y3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8)); const z3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8*2));
const Z1Z1 = c.i32_const(module.alloc(n8)); const Z2Z2 = c.i32_const(module.alloc(n8)); const U1 = c.i32_const(module.alloc(n8)); const U2 = c.i32_const(module.alloc(n8)); const Z1_cubed = c.i32_const(module.alloc(n8)); const Z2_cubed = c.i32_const(module.alloc(n8)); const S1 = c.i32_const(module.alloc(n8)); const S2 = c.i32_const(module.alloc(n8)); const H = c.i32_const(module.alloc(n8)); const S2_minus_S1 = c.i32_const(module.alloc(n8)); const I = c.i32_const(module.alloc(n8)); const J = c.i32_const(module.alloc(n8)); const r = c.i32_const(module.alloc(n8)); const r2 = c.i32_const(module.alloc(n8)); const V = c.i32_const(module.alloc(n8)); const V2 = c.i32_const(module.alloc(n8)); const S1_J2 = c.i32_const(module.alloc(n8));
f.addCode( c.if( c.call(prefix + "_isZero", c.getLocal("p1")), [ ...c.call(prefix + "_copy", c.getLocal("p2"), c.getLocal("pr")), ...c.ret([]) ] ),
c.if( c.call(prefix + "_isZero", c.getLocal("p2")), [ ...c.call(prefix + "_copy", c.getLocal("p1"), c.getLocal("pr")), ...c.ret([]) ] ),
c.call(prefixField + "_mul", z1, z1, Z1Z1), c.call(prefixField + "_mul", z2, z2, Z2Z2), c.call(prefixField + "_mul", x1, Z2Z2, U1), c.call(prefixField + "_mul", x2, Z1Z1, U2), c.call(prefixField + "_mul", z1, Z1Z1, Z1_cubed), c.call(prefixField + "_mul", z2, Z2Z2, Z2_cubed), c.call(prefixField + "_mul", y1, Z2_cubed, S1), c.call(prefixField + "_mul", y2, Z1_cubed, S2),
c.if( c.call(prefixField + "_eq", U1, U2), c.if( c.call(prefixField + "_eq", S1, S2), [ ...c.call(prefix + "_double", c.getLocal("p1"), c.getLocal("pr")), ...c.ret([]) ] ) ),
c.call(prefixField + "_sub", U2, U1, H), c.call(prefixField + "_sub", S2, S1, S2_minus_S1), c.call(prefixField + "_add", H, H, I), c.call(prefixField + "_mul", I, I, I), c.call(prefixField + "_mul", H, I, J), c.call(prefixField + "_add", S2_minus_S1, S2_minus_S1, r), c.call(prefixField + "_mul", U1, I, V), c.call(prefixField + "_mul", r, r, r2), c.call(prefixField + "_add", V, V, V2),
c.call(prefixField + "_sub", r2, J, x3), c.call(prefixField + "_sub", x3, V2, x3),
c.call(prefixField + "_mul", S1, J, S1_J2), c.call(prefixField + "_add", S1_J2, S1_J2, S1_J2),
c.call(prefixField + "_sub", V, x3, y3), c.call(prefixField + "_mul", y3, r, y3), c.call(prefixField + "_sub", y3, S1_J2, y3),
c.call(prefixField + "_add", z1, z2, z3), c.call(prefixField + "_mul", z3, z3, z3), c.call(prefixField + "_sub", z3, Z1Z1, z3), c.call(prefixField + "_sub", z3, Z2Z2, z3), c.call(prefixField + "_mul", z3, H, z3), );
}
function buildNeg() { const f = module.addFunction(prefix + "_neg"); 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(n8)); const z = c.i32_add(c.getLocal("p1"), c.i32_const(n8*2)); const x3 = c.getLocal("pr"); const y3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8)); const z3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8*2));
f.addCode( c.call(prefixField + "_copy", x, x3), c.call(prefixField + "_neg", y, y3), c.call(prefixField + "_copy", z, z3) ); }
function buildSub() { const f = module.addFunction(prefix + "_sub"); f.addParam("p1", "i32"); f.addParam("p2", "i32"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode( c.call(prefix + "_neg", c.getLocal("p2"), c.getLocal("pr")), c.call(prefix + "_add", c.getLocal("p1"), c.getLocal("pr"), c.getLocal("pr")), ); }
function buildAffine() { const f = module.addFunction(prefix + "_affine"); 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(n8)); const z = c.i32_add(c.getLocal("p1"), c.i32_const(n8*2)); const x3 = c.getLocal("pr"); const y3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8)); const z3 = c.i32_add(c.getLocal("pr"), c.i32_const(n8*2));
const Z_inv = c.i32_const(module.alloc(n8)); const Z2_inv = c.i32_const(module.alloc(n8)); const Z3_inv = c.i32_const(module.alloc(n8));
f.addCode( c.if( c.call(prefix + "_isZero", c.getLocal("p1")), c.call(prefix + "_zero", c.getLocal("pr")), [ ...c.call(prefixField + "_inverse", z, Z_inv), ...c.call(prefixField + "_mul", Z_inv, Z_inv, Z2_inv), ...c.call(prefixField + "_mul", Z_inv, Z2_inv, Z3_inv), ...c.call(prefixField + "_mul", x, Z2_inv, x3), ...c.call(prefixField + "_mul", y, Z3_inv, y3), ...c.call(prefixField + "_one", z3) ] ) ); }
buildIsZero(); buildZero(); buildCopy(); buildDouble(); buildAdd(); buildNeg(); buildSub(); buildFromMontgomery(); buildToMontgomery(); buildAffine(); buildTimesScalar( module, prefix + "_timesScalar", n8*3, prefix + "_add", prefix + "_double", prefix ); module.exportFunction(prefix + "_isZero"); module.exportFunction(prefix + "_copy"); module.exportFunction(prefix + "_zero"); module.exportFunction(prefix + "_double"); module.exportFunction(prefix + "_add"); module.exportFunction(prefix + "_neg"); module.exportFunction(prefix + "_sub"); module.exportFunction(prefix + "_fromMontgomery"); module.exportFunction(prefix + "_toMontgomery"); module.exportFunction(prefix + "_affine"); module.exportFunction(prefix + "_timesScalar");
/* buildG1MulScalar(module, zq); module.exportFunction("g1MulScalar"); */
return prefix; };
},{"./build_timesscalar":14}],5:[function(require,module,exports){
const bigInt = require("big-integer");
const buildF1m =require("./build_f1m.js");
module.exports = function buildF1(module, _q, _prefix, _f1mPrefix, _intPrefix) {
const q = bigInt(_q); const n64 = Math.floor((q.minus(1).bitLength() - 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(module, q, _f1mPrefix, intPrefix);
const pR2 = module.modules[f1mPrefix].pR2; const pq = module.modules[f1mPrefix].pq;
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 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"))); }
buildMul(); buildInverse(); 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 + "_inverse"); 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; };
},{"./build_f1m.js":6,"big-integer":2}],6:[function(require,module,exports){ const bigInt = require("big-integer"); const buildInt = require("./build_int.js"); const utils = require("./utils.js");
module.exports = function buildF1m(module, _q, _prefix, _intPrefix) { const q = bigInt(_q); const n64 = Math.floor((q.minus(1).bitLength() - 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.bigInt2BytesLE(q, n8));
const pR2 = module.alloc(utils.bigInt2BytesLE(bigInt.one.shiftLeft(n64*64).square().mod(q), n8)); const pOne = module.alloc(utils.bigInt2BytesLE(bigInt.one.shiftLeft(n64*64).mod(q), n8)); const pZero = module.alloc(utils.bigInt2BytesLE(bigInt.zero, n8)); module.modules[prefix] = { pq: pq, pR2: pR2, n64: n64, q: q, pOne: pOne, pZero: pZero };
function buildOne() { const f = module.addFunction(prefix+"_one"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode(c.call(prefix + "_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.if( c.i32_eqz( c.call(intPrefix + "_isZero", c.getLocal("x"))), c.drop(c.call(intPrefix+"_sub", c.i32_const(pq), c.getLocal("x"), c.getLocal("r"))), ) ); }
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 = bigInt("100000000",16).minus( q.modInv(bigInt("100000000",16))).toJSNumber();
f.addCode(c.setLocal("np32", c.i64_const(np32)));
for (let i=0; i<n32; i++) { f.addCode(c.setLocal("c", c.i64_const(0)));
f.addCode( c.setLocal( "m", c.i64_and( c.i64_mul( c.i64_load32_u(c.getLocal("t"), i*4), c.getLocal("np32") ), c.i64_const("0xFFFFFFFF") ) ) );
for (let j=0; j<n32; j++) {
f.addCode( c.setLocal("c", c.i64_add( c.i64_add( c.i64_load32_u(c.getLocal("t"), (i+j)*4), c.i64_shr_u(c.getLocal("c"), c.i64_const(32)) ), c.i64_mul( c.i64_load32_u(c.i32_const(pq), j*4), c.getLocal("m") ) ) ) );
f.addCode( c.i64_store32( c.getLocal("t"), (i+j)*4, c.getLocal("c") ) ); }
f.addCode( c.i64_store32( c.i32_const(carries), i*4, c.i64_shr_u(c.getLocal("c"), c.i64_const(32)) ) ); }
f.addCode( c.call( prefix+"_add", c.i32_const(carries), c.i32_add( c.getLocal("t"), c.i32_const(n32*4) ), c.getLocal("r") ) ); }
function buildMul() {
const pAux2 = module.alloc(n8*2);
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(intPrefix + "_mul", c.getLocal("x"), c.getLocal("y"), c.i32_const(pAux2) )); f.addCode(c.call(prefix + "_mReduct", c.i32_const(pAux2), 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"))); }
buildAdd(); buildSub(); buildNeg(); buildMReduct(); buildMul(); buildToMontgomery(); buildFromMontgomery(); buildInverse(); module.exportFunction(prefix + "_add"); module.exportFunction(prefix + "_sub"); module.exportFunction(prefix + "_neg"); module.exportFunction(prefix + "_mReduct"); module.exportFunction(prefix + "_mul"); module.exportFunction(prefix + "_fromMontgomery"); module.exportFunction(prefix + "_toMontgomery"); module.exportFunction(prefix + "_inverse"); module.exportFunction(intPrefix + "_copy", prefix+"_copy"); module.exportFunction(intPrefix + "_zero", prefix+"_zero"); module.exportFunction(intPrefix + "_isZero", prefix+"_isZero"); module.exportFunction(intPrefix + "_eq", prefix+"_eq"); buildOne(); module.exportFunction(prefix + "_one");
return prefix; };
},{"./build_int.js":9,"./utils.js":17,"big-integer":2}],7:[function(require,module,exports){ module.exports = function buildF2m(module, pNonResidue, 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*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 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 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(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 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+"_mul", x0, x0, t0), c.call(f1mPrefix+"_mul", x1, x1, t1), c.call(f1mPrefix+"_mul", t1, c.i32_const(pNonResidue), 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), ); }
buildIsZero(); buildZero(); buildOne(); buildCopy(); buildMul(); buildAdd(); buildSub(); buildNeg(); buildToMontgomery(); buildFromMontgomery(); buildEq(); buildInverse();
module.exportFunction(prefix + "_isZero"); module.exportFunction(prefix + "_zero"); module.exportFunction(prefix + "_one"); module.exportFunction(prefix + "_copy"); module.exportFunction(prefix + "_mul"); module.exportFunction(prefix + "_add"); module.exportFunction(prefix + "_sub"); module.exportFunction(prefix + "_neg"); module.exportFunction(prefix + "_fromMontgomery"); module.exportFunction(prefix + "_toMontgomery"); module.exportFunction(prefix + "_eq"); module.exportFunction(prefix + "_inverse");
return prefix; };
},{}],8:[function(require,module,exports){ const bigInt = require("big-integer"); const utils = require("./utils.js");
module.exports = function buildFFT(module, prefix, f1mPrefix) {
const n64 = module.modules[f1mPrefix].n64; const n8 = n64*8; const q = module.modules[f1mPrefix].q;
let rem = q.minus(bigInt(1)); let maxBits = 0; while (!rem.isOdd()) { maxBits ++; rem = rem.shiftRight(1); }
let nr = bigInt(2);
while ( nr.modPow(q.shiftRight(1), q).equals(1) ) nr = nr.add(1);
const w = new Array(maxBits+1); w[maxBits] = nr.modPow(rem, q);
let n=maxBits-1; while (n>=0) { w[n] = w[n+1].modPow(2, q); n--; }
const bytes = []; const R = bigInt(1).shiftLeft(n8*8).mod(q);
for (let i=0; i<w.length; i++) { const m = w[i].times(R).mod(q); bytes.push(...utils.bigInt2BytesLE(m, n8)); }
const ROOTs = module.alloc(bytes);
const i2 = new Array(maxBits+1); i2[0] = bigInt(1);
for (let i=1; i<=maxBits; i++) { i2[i] = i2[i-1].times(2); }
const bytesi2 =[]; for (let i=0; i<=maxBits; i++) { const m = i2[i].modInv(q).times(R).mod(q); bytesi2.push(...utils.bigInt2BytesLE(m, n8)); }
const INV2 = module.alloc(bytesi2);
function rev(x) { let r=0; for (let i=0; i<8; i++) { if (x & (1 << i)) { r = r | (0x80 >> 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.addParam("odd", "i32");
f.addLocal("bits", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal( "bits", c.call( prefix + "__log2", c.getLocal("n") ) ) );
f.addCode(c.call( prefix+"__rawfft", c.getLocal("px"), c.getLocal("bits"), c.getLocal("odd"), ));
}
function buildIFFT() { const f = module.addFunction(prefix+"_ifft"); f.addParam("px", "i32"); f.addParam("n", "i32"); f.addParam("odd", "i32"); f.addLocal("bits", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal( "bits", c.call( prefix + "__log2", c.getLocal("n") ) ) );
f.addCode(c.call( prefix+"__rawfft", c.getLocal("px"), c.getLocal("bits"), c.getLocal("odd") ));
f.addCode(c.call( prefix+"__finalInverse", c.getLocal("px"), c.getLocal("bits"), ));
}
function buildRawFFT() { const f = module.addFunction(prefix+"__rawfft"); f.addParam("px", "i32"); f.addParam("bits", "i32"); f.addParam("odd", "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(n8)); const T = c.i32_const(module.alloc(n8)); const U = c.i32_const(module.alloc(n8));
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(n8) ) ) ), 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.if( c.getLocal("odd"), c.call( f1mPrefix + "_copy", c.i32_add( c.getLocal("pwm"), c.i32_const(n8) ), W ), c.call(f1mPrefix + "_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(n8) ) ) ),
c.setLocal( "idx2", c.i32_add( c.getLocal("idx1"), c.i32_mul( c.getLocal("mdiv2"), c.i32_const(n8) ) ) ),
c.call( f1mPrefix + "_mul", W, c.getLocal("idx2"), T ),
c.call( f1mPrefix + "_copy", c.getLocal("idx1"), U ),
c.call( f1mPrefix + "_add", U, T, c.getLocal("idx1"), ),
c.call( f1mPrefix + "_sub", U, T, c.getLocal("idx2"), ),
c.call( f1mPrefix + "_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) )) ); }
function buildCopyInterleaved() { const f = module.addFunction(prefix+"_copyNInterleaved"); f.addParam("ps", "i32"); f.addParam("pd", "i32"); f.addParam("n", "i32"); f.addLocal("pi", "i32"); f.addLocal("po", "i32"); f.addLocal("pn", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal("pi", c.getLocal("ps")), c.setLocal("po", c.getLocal("pd")), c.setLocal( "pn", c.i32_add( c.getLocal("ps"), c.i32_mul( c.getLocal("n"), c.i32_const(n8) ) ) ), c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("pi"), c.getLocal("pn") ) ),
c.call(f1mPrefix + "_copy", c.getLocal("pi"), c.getLocal("po")),
c.setLocal("pi", c.i32_add(c.getLocal("pi"), c.i32_const(n8))), c.setLocal("po", c.i32_add(c.getLocal("po"), c.i32_const(n8*2))), c.br(0) )) ); }
function buildToMontgomery() { const f = module.addFunction(prefix+"_toMontgomeryN"); f.addParam("ps", "i32"); f.addParam("pd", "i32"); f.addParam("n", "i32"); f.addLocal("pi", "i32"); f.addLocal("po", "i32"); f.addLocal("pn", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal("pi", c.getLocal("ps")), c.setLocal("po", c.getLocal("pd")), c.setLocal( "pn", c.i32_add( c.getLocal("ps"), c.i32_mul( c.getLocal("n"), c.i32_const(n8) ) ) ), c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("pi"), c.getLocal("pn") ) ),
c.call(f1mPrefix + "_toMontgomery", c.getLocal("pi"), c.getLocal("po")),
c.setLocal("pi", c.i32_add(c.getLocal("pi"), c.i32_const(n8))), c.setLocal("po", c.i32_add(c.getLocal("po"), c.i32_const(n8))), c.br(0) )) ); }
function buildMulN() { const f = module.addFunction(prefix+"_mulN"); f.addParam("px", "i32"); f.addParam("py", "i32"); f.addParam("n", "i32"); f.addParam("pd", "i32"); f.addLocal("pix", "i32"); f.addLocal("piy", "i32"); f.addLocal("po", "i32"); f.addLocal("lastpix", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal("pix", c.getLocal("px")), c.setLocal("piy", c.getLocal("py")), c.setLocal("po", c.getLocal("pd")), c.setLocal( "lastpix", 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("pix"), c.getLocal("lastpix") ) ),
c.call(f1mPrefix + "_mul", c.getLocal("pix"), c.getLocal("piy"), c.getLocal("po")),
c.setLocal("pix", c.i32_add(c.getLocal("pix"), c.i32_const(n8))), c.setLocal("piy", c.i32_add(c.getLocal("piy"), c.i32_const(n8))), c.setLocal("po", c.i32_add(c.getLocal("po"), c.i32_const(n8))), c.br(0) )) ); }
function buildFromMontgomery() { const f = module.addFunction(prefix+"_fromMontgomeryN"); f.addParam("ps", "i32"); f.addParam("pd", "i32"); f.addParam("n", "i32"); f.addLocal("pi", "i32"); f.addLocal("po", "i32"); f.addLocal("pn", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal("pi", c.getLocal("ps")), c.setLocal("po", c.getLocal("pd")), c.setLocal( "pn", c.i32_add( c.getLocal("ps"), c.i32_mul( c.getLocal("n"), c.i32_const(n8) ) ) ), c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("pi"), c.getLocal("pn") ) ),
c.call(f1mPrefix + "_fromMontgomery", c.getLocal("pi"), c.getLocal("po")),
c.setLocal("pi", c.i32_add(c.getLocal("pi"), c.i32_const(n8))), c.setLocal("po", c.i32_add(c.getLocal("po"), c.i32_const(n8))), c.br(0) )) ); }
function buildFinalInverse() { const f = module.addFunction(prefix+"__finalInverse"); f.addParam("px", "i32"); f.addParam("bits", "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(n8));
f.addCode( c.setLocal("n", c.i32_shl( c.i32_const(1), c.getLocal("bits"))),
c.setLocal( "pInv2", c.i32_add( c.i32_const(INV2), c.i32_mul( c.getLocal("bits"), c.i32_const(n8) ) ) ),
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_eq( c.getLocal("i"), c.getLocal("ndiv2") ) ),
c.setLocal("idx1", c.i32_add( c.getLocal("px"), c.i32_mul( c.getLocal("i"), c.i32_const(n8) ) ) ),
c.setLocal("idx2", c.i32_add( c.getLocal("px"), c.i32_mul( c.i32_sub( c.getLocal("n"), c.getLocal("i") ), c.i32_const(n8) ) ) ),
c.call(f1mPrefix + "_copy", c.getLocal("idx1"), T), c.call(f1mPrefix + "_mul", c.getLocal("idx2") , c.getLocal("pInv2"), c.getLocal("idx1") ), c.call(f1mPrefix + "_mul", T , c.getLocal("pInv2"), c.getLocal("idx2")),
// c.call(f1mPrefix + "_mul", c.getLocal("idx1") , c.getLocal("pInv2"), c.getLocal("idx1") ),
// c.call(f1mPrefix + "_mul", c.getLocal("idx2") , c.getLocal("pInv2"), c.getLocal("idx1") ),
c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))),
c.br(0) )),
c.call(f1mPrefix + "_mul", c.getLocal("px") , c.getLocal("pInv2"), c.getLocal("px")),
c.setLocal("idx2", c.i32_add( c.getLocal("px"), c.i32_mul( c.getLocal("ndiv2"), c.i32_const(n8) ) ) ),
c.call(f1mPrefix + "_mul", c.getLocal("idx2"),c.getLocal("pInv2"), 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(n8));
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(n8) ) ) ),
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(n8) ) ) ),
c.if( c.i32_lt_u( c.getLocal("i"), c.getLocal("ri") ), [ ...c.call(f1mPrefix + "_copy", c.getLocal("idx1"), T), ...c.call(f1mPrefix + "_copy", c.getLocal("idx2") , c.getLocal("idx1")), ...c.call(f1mPrefix + "_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") ) ); }
buildRev(); buildReversePermutation(); buildRawFFT(); buildCopyInterleaved(); buildFromMontgomery(); buildToMontgomery(); buildFinalInverse(); buildLog2(); buildFFT(); buildIFFT(); buildMulN();
module.exportFunction(prefix+"_fft"); module.exportFunction(prefix+"_ifft"); module.exportFunction(prefix+"_toMontgomeryN"); module.exportFunction(prefix+"_fromMontgomeryN"); module.exportFunction(prefix+"_copyNInterleaved"); module.exportFunction(prefix+"_mulN");
};
},{"./utils.js":17,"big-integer":2}],9:[function(require,module,exports){
const utils = require("./utils.js");
module.exports = 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;
const one = module.alloc(n8, utils.bigInt2BytesLE(1, n8));
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<n64; i++) { f.addCode( c.i64_store( c.getLocal("pr"), i*8, c.i64_load( c.getLocal("px"), i*8 ) ) ); } }
function buildZero() { const f = module.addFunction(prefix+"_zero"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
for (let i=0; i<n64; i++) { f.addCode( c.i64_store( c.getLocal("pr"), i*8, c.i64_const(0) ) ); } }
function buildOne() { const f = module.addFunction(prefix+"_one"); f.addParam("pr", "i32");
const c = f.getCodeBuilder();
f.addCode( c.i64_store( c.getLocal("pr"), 0, c.i64_const(1) ) ); for (let i=1; i<n64; i++) { f.addCode( c.i64_store( c.getLocal("pr"), i*8, c.i64_const(0) ) ); } }
function buildIsZero() { const f = module.addFunction(prefix+"_isZero"); f.addParam("px", "i32"); f.setReturnType("i32");
const c = f.getCodeBuilder();
function getCompCode(n) { if (n==0) { return c.ret(c.i64_eqz( c.i64_load(c.getLocal("px")) )); } return c.if( c.i64_eqz( c.i64_load(c.getLocal("px"), n*8 ) ), getCompCode(n-1), c.ret(c.i32_const(0)) ); }
f.addCode(getCompCode(n64-1)); f.addCode(c.ret(c.i32_const(0))); }
function buildEq() { const f = module.addFunction(prefix+"_eq"); f.addParam("px", "i32"); f.addParam("py", "i32"); f.setReturnType("i32");
const c = f.getCodeBuilder();
function getCompCode(n) { if (n==0) { return c.ret(c.i64_eq( c.i64_load(c.getLocal("px")), c.i64_load(c.getLocal("py")) )); } return c.if( c.i64_eq( c.i64_load(c.getLocal("px"), n*8 ), c.i64_load(c.getLocal("py"), n*8 ) ), getCompCode(n-1), c.ret(c.i32_const(0)) ); }
f.addCode(getCompCode(n64-1)); f.addCode(c.ret(c.i32_const(0))); }
function buildGte() { const f = module.addFunction(prefix+"_gte"); f.addParam("px", "i32"); f.addParam("py", "i32"); f.setReturnType("i32");
const c = f.getCodeBuilder();
function getCompCode(n) { if (n==0) { return c.ret(c.i64_ge_u( c.i64_load(c.getLocal("px")), c.i64_load(c.getLocal("py")) )); } return c.if( c.i64_lt_u( c.i64_load(c.getLocal("px"), n*8 ), c.i64_load(c.getLocal("py"), n*8 ) ), c.ret(c.i32_const(0)), c.if( c.i64_gt_u( c.i64_load(c.getLocal("px"), n*8 ), c.i64_load(c.getLocal("py"), n*8 ) ), c.ret(c.i32_const(1)), getCompCode(n-1) ) ); }
f.addCode(getCompCode(n64-1)); f.addCode(c.ret(c.i32_const(0))); }
function buildAdd() {
const f = module.addFunction(prefix+"_add"); f.addParam("x", "i32"); f.addParam("y", "i32"); f.addParam("r", "i32"); f.setReturnType("i32"); f.addLocal("c", "i64");
const c = f.getCodeBuilder();
f.addCode(c.setLocal( "c", c.i64_add( c.i64_load32_u(c.getLocal("x")), c.i64_load32_u(c.getLocal("y")) ) ));
f.addCode(c.i64_store32( c.getLocal("r"), c.getLocal("c"), ));
for (let i=1; i<n32; i++) { f.addCode(c.setLocal( "c", c.i64_add( c.i64_add( c.i64_load32_u(c.getLocal("x"), 4*i), c.i64_load32_u(c.getLocal("y"), 4*i) ), c.i64_shr_u (c.getLocal("c"), c.i64_const(32)) ) ));
f.addCode(c.i64_store32( c.getLocal("r"), i*4, c.getLocal("c") )); }
f.addCode(c.i32_wrap_i64(c.i64_shr_u (c.getLocal("c"), c.i64_const(32)))); }
function buildSub() {
const f = module.addFunction(prefix+"_sub"); f.addParam("x", "i32"); f.addParam("y", "i32"); f.addParam("r", "i32"); f.setReturnType("i32"); f.addLocal("c", "i64");
const c = f.getCodeBuilder();
f.addCode(c.setLocal( "c", c.i64_sub( c.i64_load32_u(c.getLocal("x")), c.i64_load32_u(c.getLocal("y")) ) ));
f.addCode(c.i64_store32( c.getLocal("r"), c.i64_and( c.getLocal("c"), c.i64_const("0xFFFFFFFF") ) ));
for (let i=1; i<n32; i++) { f.addCode(c.setLocal( "c", c.i64_add( c.i64_sub( c.i64_load32_u(c.getLocal("x"), 4*i), c.i64_load32_u(c.getLocal("y"), 4*i) ), c.i64_shr_s (c.getLocal("c"), c.i64_const(32)) ) ));
f.addCode(c.i64_store32( c.getLocal("r"), i*4, c.i64_and( c.getLocal("c"), c.i64_const("0xFFFFFFFF")) )); }
f.addCode(c.i32_wrap_i64 ( c.i64_shr_s (c.getLocal("c"), c.i64_const(32)))); }
function buildMul() {
const mulBuff = module.alloc(n32*n32*8);
const f = module.addFunction(prefix+"_mul"); f.addParam("x", "i32"); f.addParam("y", "i32"); f.addParam("r", "i32"); f.addLocal("c", "i64");
const c = f.getCodeBuilder();
for (let i=0; i<n32; i++) { for (let j=0; j<n32; j++) { f.addCode(c.i64_store( c.i32_const(mulBuff), (i*n32+j)*8, c.i64_mul( c.i64_load32_u( c.getLocal("x"), i*4), c.i64_load32_u( c.getLocal("y"), j*4) ) )); } }
for (let i=0; i<n32; i++) { f.addCode(c.i64_shr_u(c.getLocal("c"), c.i64_const(32))); for (let j=0; j<i; j++) { f.addCode(c.i64_add( [], c.i64_load32_u( c.i32_const(mulBuff), j*(n32*8) + i*8-4 - j*8 ) )); } for (let j=0; j<i+1; j++) { f.addCode(c.i64_add( [], c.i64_load32_u( c.i32_const(mulBuff), j*(n32*8) + i*8 - j*8 ) )); } f.addCode(c.setLocal("c", [])); f.addCode( c.i64_store32( c.getLocal("r"), i*4, c.getLocal("c") ) ); }
for (let i=0; i<n32; i++) { f.addCode(c.i64_shr_u(c.getLocal("c"), c.i64_const(32))); for (let j=i; j<n32; j++) { f.addCode(c.i64_add( [], c.i64_load32_u( c.i32_const(mulBuff), j*(n32*8) + n32*8-4 + i*8- j*8 ) )); } for (let j=i+1; j<n32; j++) { f.addCode(c.i64_add( [], c.i64_load32_u( c.i32_const(mulBuff), j*(n32*8) + n32*8 + i*8 - j*8 ) )); } f.addCode(c.setLocal("c", [])); f.addCode( c.i64_store32( c.getLocal("r"), i*4 + n32*4, c.getLocal("c") ) ); } }
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; i<n32; i++) { f.addCode(c.setLocal( "c", c.i64_add( c.i64_mul( c.i64_load32_u(c.getLocal("px"), 4*i, 0), c.getLocal("y") ), c.i64_shr_u (c.getLocal("c"), c.i64_const(32)) ) ));
f.addCode(c.i64_store32( c.getLocal("pr"), i*4, 0, c.getLocal("c") )); } }
function _buildAdd1() { const f = module.addFunction(prefix+"__add1"); f.addParam("x", "i32"); f.addParam("y", "i64"); f.addLocal("c", "i64"); f.addLocal("px", "i32");
const c = f.getCodeBuilder();
f.addCode(c.setLocal("px", c.getLocal("x")));
f.addCode(c.setLocal( "c", c.i64_add( c.i64_load32_u(c.getLocal("px"), 0, 0), c.getLocal("y") ) ));
f.addCode(c.i64_store32( c.getLocal("px"), 0, 0, c.getLocal("c"), ));
f.addCode(c.setLocal( "c", c.i64_shr_u( c.getLocal("c"), c.i64_const(32) ) ));
f.addCode(c.block(c.loop( c.br_if( 1, c.i64_eqz(c.getLocal("c")) ), c.setLocal( "px", c.i32_add( c.getLocal("px"), c.i32_const(4) ) ),
c.setLocal( "c", c.i64_add( c.i64_load32_u(c.getLocal("px"), 0, 0), c.getLocal("c") ) ),
c.i64_store32( c.getLocal("px"), 0, 0, c.getLocal("c"), ),
c.setLocal( "c", c.i64_shr_u( c.getLocal("c"), c.i64_const(32) ) ),
c.br(0) ))); }
function buildDiv() { _buildMul1(); _buildAdd1();
const f = module.addFunction(prefix+"_div"); f.addParam("x", "i32"); f.addParam("y", "i32"); f.addParam("c", "i32"); f.addParam("r", "i32"); f.addLocal("rr", "i32"); f.addLocal("cc", "i32"); f.addLocal("eX", "i32"); f.addLocal("eY", "i32"); f.addLocal("sy", "i64"); f.addLocal("sx", "i64"); f.addLocal("ec", "i32");
const c = f.getCodeBuilder();
const Y = c.i32_const(module.alloc(n8)); const Caux = c.i32_const(module.alloc(n8)); const Raux = c.i32_const(module.alloc(n8)); const C = c.getLocal("cc"); const R = c.getLocal("rr"); const pr1 = module.alloc(n8*2); const R1 = c.i32_const(pr1); const R2 = c.i32_const(pr1+n8);
// Ic c is 0 then store it in an auxiliary buffer
f.addCode(c.if( c.getLocal("c"), c.setLocal("cc", c.getLocal("c")), c.setLocal("cc", Caux) ));
// Ic r is 0 then store it in an auxiliary buffer
f.addCode(c.if( c.getLocal("r"), c.setLocal("rr", c.getLocal("r")), c.setLocal("rr", Raux) ));
// Copy
f.addCode(c.call(prefix + "_copy", c.getLocal("x"), R)); f.addCode(c.call(prefix + "_copy", c.getLocal("y"), Y)); f.addCode(c.call(prefix + "_zero", C)); f.addCode(c.call(prefix + "_zero", R1));
f.addCode(c.setLocal("eX", c.i32_const(n8-1))); f.addCode(c.setLocal("eY", c.i32_const(n8-1)));
// while (eY>3)&&(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(); 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+"_div"); module.exportFunction(prefix+"_inverseMod");
return prefix; };
},{"./utils.js":17}],10:[function(require,module,exports){
module.exports = function buildMultiexp(module, prefix, curvePrefix, pointFieldPrefix, scalarPrefix) {
const pointFieldN64 = module.modules[pointFieldPrefix].n64; const pointFieldN8 = pointFieldN64*8; const pointN64 = module.modules[curvePrefix].n64; const pointN8 = pointN64*8; const scalarN64 = module.modules[scalarPrefix].n64; const scalarN8 = scalarN64*8;
function buildPackBits() { const f = module.addFunction(prefix+"__packbits"); f.addParam("pscalars", "i32"); f.addParam("w", "i32"); // 8 max
f.addParam("pr", "i32"); // P to result scalarN8*8 bytes
f.addLocal("i", "i32"); f.addLocal("j", "i32"); f.addLocal("w1", "i64"); f.addLocal("w2", "i64");
const c = f.getCodeBuilder();
f.addCode(c.setLocal("i", c.i32_const(0))); f.addCode(c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("i"), c.i32_const(scalarN8) ) ),
c.setLocal("w2", c.i64_const(0)),
c.setLocal("j", c.i32_const(0)),
c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("j"), c.getLocal("w") ) ),
c.setLocal( "w1", c.i64_load8_u( c.i32_add( c.getLocal("pscalars"), c.i32_add( c.i32_mul( c.getLocal("j"), c.i32_const(scalarN8) ), c.getLocal("i") ) ) ) ),
c.setLocal( "w1", c.i64_and( c.i64_or( c.getLocal("w1"), c.i64_shl( c.getLocal("w1"), c.i64_const(28) ) ), c.i64_const("0x0000000F0000000F") ) ),
c.setLocal( "w1", c.i64_and( c.i64_or( c.getLocal("w1"), c.i64_shl( c.getLocal("w1"), c.i64_const(14) ) ), c.i64_const("0x0003000300030003") ) ),
c.setLocal( "w1", c.i64_and( c.i64_or( c.getLocal("w1"), c.i64_shl( c.getLocal("w1"), c.i64_const(7) ) ), c.i64_const("0x0101010101010101") ) ),
c.setLocal( "w2", c.i64_or( c.getLocal("w2"), c.i64_shl( c.getLocal("w1"), c.i64_extend_i32_u(c.getLocal("j")) ) ) ),
c.setLocal("j", c.i32_add(c.getLocal("j"), c.i32_const(1))), c.br(0) )),
c.i64_store( c.i32_add( c.getLocal("pr"), c.i32_mul( c.getLocal("i"), c.i32_const(8) ) ), c.getLocal("w2") ),
c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), c.br(0) )));
}
const c1 = []; const c2 = [];
function nbits(_b) { let c=0; let r=_b; while(r) { if (r&1) c++; r = r>>1; } return c; }
function split(_b) { const nb1 = nbits(_b) >> 1; let r = _b; let c = 0; if (nb1 == 0) return null; let mask = 0xFFFFFFFF; while (c<nb1) { if (r&1) c++; mask = mask << 1; r = r>>1; } return [(_b & mask), (_b & (~mask))]; }
for (let i=0; i<256; i++) { const a = split(i); if (a) { c1[i] = a[0]; c2[i] = a[1]; } else { c1[i] = 0; c2[i] = 0; } }
const ptable = module.alloc(pointN8*256); const pset = module.alloc(32); const composite1 = module.alloc(256, c1); const composite2 = module.alloc(256, c2);
function buildSetSet() { const f = module.addFunction(prefix+"__set_set"); f.addParam("idx", "i32"); f.addLocal("word", "i32"); f.addLocal("mask", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal( "word", c.i32_shl( c.i32_shr_u( c.getLocal("idx"), c.i32_const(5) ), c.i32_const(2) ) ) ); f.addCode( c.setLocal( "mask", c.i32_shl( c.i32_const(1), c.i32_and( c.getLocal("idx"), c.i32_const("0x1F") ) ) ) ); f.addCode( c.i32_store( c.getLocal("word"), pset, c.i32_or( c.i32_load( c.getLocal("word"), pset ), c.getLocal("mask") ) ) ); }
function buildSetIsSet() { const f = module.addFunction(prefix+"__set_isSet"); f.addParam("idx", "i32"); f.setReturnType("i32"); f.addLocal("word", "i32"); f.addLocal("mask", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal( "word", c.i32_shl( c.i32_shr_u( c.getLocal("idx"), c.i32_const(5) ), c.i32_const(2) ) ) ); f.addCode( c.setLocal( "mask", c.i32_shl( c.i32_const(1), c.i32_and( c.getLocal("idx"), c.i32_const("0x1F") ) ) ) );
f.addCode( c.i32_and( c.i32_load( c.getLocal("word"), pset ), c.getLocal("mask") ) ); }
function buildPTableReset() { const f = module.addFunction(prefix+"__ptable_reset"); f.addParam("ppoints", "i32"); f.addParam("w", "i32"); // Window size Max 8
f.addLocal("ps", "i32"); f.addLocal("pd", "i32"); f.addLocal("i", "i32"); f.addLocal("isZero", "i32");
const c = f.getCodeBuilder();
f.addCode(c.setLocal("ps", c.getLocal("ppoints")));
f.addCode(c.call( curvePrefix + "_zero", c.i32_const(ptable) ));
f.addCode(c.setLocal("i", c.i32_const(0))); f.addCode(c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("i"), c.getLocal("w") ) ),
c.setLocal( "pd", c.i32_add( c.i32_const(ptable), c.i32_mul( c.i32_shl( c.i32_const(1), c.getLocal("i") ), c.i32_const(pointN8) ) ) ),
c.setLocal("isZero", c.call(pointFieldPrefix + "_isZero", c.getLocal("ps"))),
c.call( pointFieldPrefix + "_copy", c.getLocal("ps"), c.getLocal("pd")), c.setLocal("ps", c.i32_add(c.getLocal("ps"), c.i32_const(pointFieldN8))), c.setLocal("pd", c.i32_add(c.getLocal("pd"), c.i32_const(pointFieldN8))),
c.call( pointFieldPrefix + "_copy", c.getLocal("ps"), c.getLocal("pd")), c.setLocal("ps", c.i32_add(c.getLocal("ps"), c.i32_const(pointFieldN8))), c.setLocal("pd", c.i32_add(c.getLocal("pd"), c.i32_const(pointFieldN8))),
c.if( c.getLocal("isZero"), c.call( pointFieldPrefix + "_zero", c.getLocal("pd")), c.call( pointFieldPrefix + "_one", c.getLocal("pd")), ),
c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), c.br(0) )));
// Reset the set
f.addCode(c.i64_store( c.i32_const(pset ),c.i64_const("0x0000000100010117"))); f.addCode(c.i64_store( c.i32_const(pset+ 8),c.i64_const("0x0000000000000001"))); f.addCode(c.i64_store( c.i32_const(pset+16),c.i64_const("0x0000000000000001"))); f.addCode(c.i64_store( c.i32_const(pset+24),c.i64_const("0x0000000000000000")));
}
function buildPTableGet() { const f = module.addFunction(prefix+"__ptable_get"); f.addParam("idx", "i32"); f.setReturnType("i32"); f.addLocal("pr", "i32"); f.addLocal("p1", "i32"); f.addLocal("p2", "i32");
const c = f.getCodeBuilder();
f.addCode( c.setLocal( "pr", c.i32_add( c.i32_const(ptable), c.i32_mul( c.getLocal("idx"), c.i32_const(pointN8) ) ) ) );
f.addCode(c.if( c.i32_eqz( c.call( prefix + "__set_isSet", c.getLocal("idx") ), ), [ ...c.setLocal( "p1", c.call( prefix + "__ptable_get", c.i32_load8_u( c.getLocal("idx"), composite1 ) ) ), ...c.setLocal( "p2", c.call( prefix + "__ptable_get", c.i32_load8_u( c.getLocal("idx"), composite2 ) ) ), ...c.call( curvePrefix + "_add", c.getLocal("p1"), c.getLocal("p2"), c.getLocal("pr") ), ...c.call( prefix + "__set_set", c.getLocal("idx") ) ] ));
f.addCode(c.getLocal("pr")); }
function buildMulw() { const f = module.addFunction(prefix+"__mulw"); f.addParam("pscalars", "i32"); f.addParam("ppoints", "i32"); f.addParam("w", "i32"); // Window size Max 8
f.addParam("pr", "i32"); f.addLocal("i", "i32");
const c = f.getCodeBuilder();
const psels = module.alloc(scalarN8 * 8);
f.addCode(c.call( prefix + "__packbits", c.getLocal("pscalars"), c.getLocal("w"), c.i32_const(psels) ));
f.addCode(c.call( curvePrefix + "_zero", c.getLocal("pr"), ));
f.addCode(c.call( prefix + "__ptable_reset", c.getLocal("ppoints"), c.getLocal("w") ));
f.addCode(c.setLocal("i", c.i32_const(0))); f.addCode(c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("i"), c.i32_const(scalarN8 * 8) ) ),
c.call(curvePrefix + "_double", c.getLocal("pr"), c.getLocal("pr"), ), c.call(curvePrefix + "_add", c.getLocal("pr"), c.call( prefix + "__ptable_get", c.i32_load8_u( c.i32_sub( c.i32_const(psels + scalarN8 * 8 -1), c.getLocal("i") ) ) ), c.getLocal("pr"), ),
c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), c.br(0) )));
}
function buildMultiexp() { const f = module.addFunction(prefix+"_multiexp"); f.addParam("pscalars", "i32"); f.addParam("ppoints", "i32"); f.addParam("n", "i32"); // Number of points
f.addParam("w", "i32"); // Window size Max 8
f.addParam("pr", "i32"); f.addLocal("ps", "i32"); f.addLocal("pp", "i32"); f.addLocal("wf", "i32"); f.addLocal("lastps", "i32");
const c = f.getCodeBuilder();
const aux = c.i32_const(module.alloc(pointN8));
f.addCode(c.setLocal("ps", c.getLocal("pscalars"))); f.addCode(c.setLocal("pp", c.getLocal("ppoints")));
f.addCode(c.setLocal( "lastps", c.i32_add( c.getLocal("ps"), c.i32_mul( c.i32_mul( c.i32_div_u( c.getLocal("n"), c.getLocal("w") ), c.getLocal("w") ), c.i32_const(scalarN8) ) ) ));
f.addCode(c.block(c.loop( c.br_if( 1, c.i32_eq( c.getLocal("ps"), c.getLocal("lastps") ) ),
c.call(prefix + "__mulw", c.getLocal("ps"), c.getLocal("pp"), c.getLocal("w"), aux), c.call(curvePrefix + "_add", aux, c.getLocal("pr"), c.getLocal("pr")),
c.setLocal( "ps", c.i32_add( c.getLocal("ps"), c.i32_mul( c.i32_const(scalarN8), c.getLocal("w") ) ) ),
c.setLocal( "pp", c.i32_add( c.getLocal("pp"), c.i32_mul( c.i32_const(pointFieldN8*2), c.getLocal("w") ) ) ),
c.br(0) )));
f.addCode(c.setLocal("wf", c.i32_rem_u(c.getLocal("n"), c.getLocal("w"))));
f.addCode(c.if( c.getLocal("wf"), [ ...c.call(prefix + "__mulw", c.getLocal("ps"), c.getLocal("pp"), c.getLocal("wf"), aux), ...c.call(curvePrefix + "_add", aux, c.getLocal("pr"), c.getLocal("pr")), ] )); }
buildSetSet(); buildSetIsSet(); buildPTableReset(); buildPTableGet(); buildPackBits(); buildMulw(); buildMultiexp(); module.exportFunction(prefix+"_multiexp");
};
},{}],11:[function(require,module,exports){ module.exports = 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;
};
},{}],12:[function(require,module,exports){ const bigInt = require("big-integer"); const utils = require("./utils.js");
module.exports = function buildTestF1(module) {
const q = bigInt("21888242871839275222246405745257275088696311157297823662689037894645226208583");
const pR2 = module.modules.f1m.pR2; const n8 = module.modules.f1m.n64*8;
const pR3 = module.alloc(utils.bigInt2BytesLE(bigInt.one.shiftLeft(256).square().mod(q).shiftRight(128), n8));
function buildTestF1() { const f = module.addFunction("testF1"); f.addParam("n", "i32"); f.addLocal("i", "i32");
const c = f.getCodeBuilder();
const pAux1 = module.alloc(n8);
f.addCode(c.setLocal("i", c.getLocal("n"))); f.addCode(c.block(c.loop( // c.call("f1m_add", c.i32_const(pR2), c.i32_const(pR2), c.i32_const(pAux1)),
c.call("f1m_mul", c.i32_const(pR2), c.i32_const(pR2), c.i32_const(pAux1)), // c.call("int_div", c.i32_const(pR2), c.i32_const(pR3), c.i32_const(pAux1), c.i32_const(0)),
c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), c.br_if(1, c.i32_eqz ( c.getLocal("i") )), c.br(0) ))); }
buildTestF1(); module.exportFunction("testF1"); };
},{"./utils.js":17,"big-integer":2}],13:[function(require,module,exports){ const bigInt = require("big-integer");
module.exports = function buildTestAddG1(module) {
function buildTestAddG1() { const f = module.addFunction("testAddG1"); f.addParam("n", "i32"); f.addParam("pP", "i32"); f.addParam("pR", "i32"); f.addLocal("i", "i32");
const c = f.getCodeBuilder();
f.addCode(c.call("g1_zero", c.getLocal("pR")));
f.addCode(c.setLocal("i", c.getLocal("n"))); f.addCode(c.block(c.loop( c.call("g1_add", c.getLocal("pP"), c.getLocal("pR"), c.getLocal("pR")), c.setLocal("i", c.i32_sub(c.getLocal("i"), c.i32_const(1))), c.br_if(1, c.i32_eqz ( c.getLocal("i") )), c.br(0) ))); }
buildTestAddG1(); module.exportFunction("testAddG1"); };
},{"big-integer":2}],14:[function(require,module,exports){
module.exports = function buildTimesScalar(module, fnName, elementLen, opAB, opAA, fPrefix) {
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.call(fPrefix + "_copy", c.getLocal("base"), aux));
f.addCode(c.call(fPrefix + "_zero", 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, aux, c.getLocal("r"), c.getLocal("r")) ] ) ); } return code; }
};
},{}],15:[function(require,module,exports){ /* globals WebAssembly */ const bigInt = require("big-integer"); const ModuleBuilder = require("./wasmbuilder/index.js"); const buildF1 = require("./build_f1.js"); const buildTestF1 = require("./build_testf1.js");
async function build(q) { const f1 = new F1(q);
f1.q = bigInt(q); f1.n64 = Math.floor((f1.q.minus(1).bitLength() - 1)/64) +1; f1.n32 = f1.n64*2; f1.n8 = f1.n64*8;
f1.memory = new WebAssembly.Memory({initial:1}); f1.i32 = new Uint32Array(f1.memory.buffer);
const moduleBuilder = new ModuleBuilder(); buildF1(moduleBuilder, f1.q); buildTestF1(moduleBuilder);
const code = moduleBuilder.build();
const wasmModule = await WebAssembly.compile(code);
f1.instance = await WebAssembly.instantiate(wasmModule, { env: { "memory": f1.memory } });
Object.assign(f1, f1.instance.exports);
return f1; }
class F1 {
constructor() {
}
alloc(length) { const res = this.i32[0]; this.i32[0] += length; return res; }
putInt(pos, _a) { const a = bigInt(_a); if (pos & 0x7) throw new Error("Pointer must be aligned"); if (a.bitLength > this.n64*64) { return this.putInt(a.mod(this.q)); } for (let i=0; i<this.n32; i++) { this.i32[(pos>>2)+i] = a.shiftRight(i*32).and(0xFFFFFFFF).toJSNumber(); } }
allocInt(_a) { const p = this.alloc(this.n8); if (_a) this.putInt(p, _a); return p; }
putInt2(pos, _a) { const a = bigInt(_a); if (pos & 0x7) throw new Error("Pointer must be aligned"); if (a.bitLength > this.n64*64*2) { return this.putInt(a.mod(this.q)); } for (let i=0; i<this.n32*2; i++) { this.i32[(pos>>2)+i] = a.shiftRight(i*32).and(0xFFFFFFFF).toJSNumber(); } }
getInt(pos) { if (pos & 0x7) throw new Error("Pointer must be aligned"); let acc = bigInt(this.i32[(pos>>2)+this.n32-1]); for (let i=this.n32-2; i>=0; i--) { acc = acc.shiftLeft(32); acc = acc.add(this.i32[(pos>>2)+i]); } return acc; }
getInt2(pos) { if (pos & 0x7) throw new Error("Pointer must be aligned"); const last = this.n32*2-1; let acc = bigInt(this.i32[(pos>>2)+last]); for (let i=last; i>=0; i--) { acc = acc.shiftLeft(32); acc = acc.add(this.i32[(pos>>2)+i]); } return acc; }
allocInt2(_a) { const p = this.alloc(this.n8*2); if (_a) this.putInt2(p, _a); return p; }
test_F1(n) { const start = new Date().getTime();
this.instance.exports.testF1(n);
const end = new Date().getTime(); const time = end - start;
return time; } /* function test(n) {
const q = 21888242871839275222246405745257275088696311157297823662689037894645226208583n; let a = (1n << 512n)%q ; let b = a >> 128n;
let c;
const start = new Date().getTime(); for (let i=0; i<n; i++) c = a+b;
const end = new Date().getTime(); const time = end - start;
console.log(time); } */ }
module.exports = build;
},{"./build_f1.js":5,"./build_testf1.js":12,"./wasmbuilder/index.js":20,"big-integer":2}],16:[function(require,module,exports){ /* globals WebAssembly, Blob, Worker, navigator, Promise, window */ const bigInt = require("big-integer"); const ModuleBuilder = require("./wasmbuilder/index.js"); const buildF1m = require("./build_f1m.js"); const buildF2m = require("./build_f2m.js"); const buildF1 = require("./build_f1.js"); const buildCurve = require("./build_curve.js"); const buildTest = require("./build_testg1"); const buildFFT = require("./build_fft"); const buildMultiexp = require("./build_multiexp"); const buildPol = require("./build_pol"); const utils = require("./utils"); const assert = require("assert");
class Deferred { constructor() { this.promise = new Promise((resolve, reject)=> { this.reject = reject; this.resolve = resolve; }); } }
/* function delay(ms) { return new Promise(resolve => setTimeout(resolve, ms)); } */
function thread(self) { let instance; let memory; let i32;
async function init(data) { const code = new Uint8Array(data.code); const wasmModule = await WebAssembly.compile(code); memory = new WebAssembly.Memory({initial:data.init}); i32 = new Uint32Array(memory.buffer);
instance = await WebAssembly.instantiate(wasmModule, { env: { "memory": memory } }); }
function alloc(length) { while (i32[0] & 3) i32[0]++; // Return always aligned pointers
const res = i32[0]; i32[0] += length; return res; }
function putBin(b) { const p = alloc(b.byteLength); const s32 = new Uint32Array(b); i32.set(s32, p/4); return p; }
function getBin(p, l) { return memory.buffer.slice(p, p+l); }
self.onmessage = function(e) { if (e.data.command == "INIT") { init(e.data).then(function() { self.postMessage(e.data.result); }); } else if (e.data.command == "G1_MULTIEXP") {
const oldAlloc = i32[0]; const pScalars = putBin(e.data.scalars); const pPoints = putBin(e.data.points); const pRes = alloc(96); instance.exports.g1_zero(pRes); instance.exports.g1_multiexp(pScalars, pPoints, e.data.n, 5, pRes);
e.data.result = getBin(pRes, 96); i32[0] = oldAlloc; self.postMessage(e.data.result, [e.data.result]); } else if (e.data.command == "G2_MULTIEXP") {
const oldAlloc = i32[0]; const pScalars = putBin(e.data.scalars); const pPoints = putBin(e.data.points); const pRes = alloc(192); instance.exports.g2_zero(pRes); instance.exports.g2_multiexp(pScalars, pPoints, e.data.n, 5, pRes);
e.data.result = getBin(pRes, 192); i32[0] = oldAlloc; self.postMessage(e.data.result, [e.data.result]); } else if (e.data.command == "CALC_H") { const oldAlloc = i32[0]; const pSignals = putBin(e.data.signals); const pPolsA = putBin(e.data.polsA); const pPolsB = putBin(e.data.polsB); const nSignals = e.data.nSignals; const domainSize = e.data.domainSize; const pSignalsM = alloc(nSignals*32); const pPolA = alloc(domainSize*32); const pPolB = alloc(domainSize*32); const pPolA2 = alloc(domainSize*32*2); const pPolB2 = alloc(domainSize*32*2);
instance.exports.fft_toMontgomeryN(pSignals, pSignalsM, nSignals);
instance.exports.pol_zero(pPolA, domainSize); instance.exports.pol_zero(pPolB, domainSize);
instance.exports.pol_constructLC(pPolsA, pSignalsM, nSignals, pPolA); instance.exports.pol_constructLC(pPolsB, pSignalsM, nSignals, pPolB);
instance.exports.fft_copyNInterleaved(pPolA, pPolA2, domainSize); instance.exports.fft_copyNInterleaved(pPolB, pPolB2, domainSize);
instance.exports.fft_ifft(pPolA, domainSize, 0); instance.exports.fft_ifft(pPolB, domainSize, 0); instance.exports.fft_fft(pPolA, domainSize, 1); instance.exports.fft_fft(pPolB, domainSize, 1);
instance.exports.fft_copyNInterleaved(pPolA, pPolA2+32, domainSize); instance.exports.fft_copyNInterleaved(pPolB, pPolB2+32, domainSize);
instance.exports.fft_mulN(pPolA2, pPolB2, domainSize*2, pPolA2);
instance.exports.fft_ifft(pPolA2, domainSize*2, 0);
instance.exports.fft_fromMontgomeryN(pPolA2+domainSize*32, pPolA2+domainSize*32, nSignals);
e.data.result = getBin(pPolA2+domainSize*32, domainSize*32); i32[0] = oldAlloc; self.postMessage(e.data.result, [e.data.result]); } }; }
async function build() {
const groth16 = new Groth16();
groth16.q = bigInt("21888242871839275222246405745257275088696311157297823662689037894645226208583"); groth16.r = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); groth16.n64 = Math.floor((groth16.q.minus(1).bitLength() - 1)/64) +1; groth16.n32 = groth16.n64*2; groth16.n8 = groth16.n64*8;
groth16.memory = new WebAssembly.Memory({initial:1000}); groth16.i32 = new Uint32Array(groth16.memory.buffer);
const moduleBuilder = new ModuleBuilder(); moduleBuilder.setMemory(1000); buildF1m(moduleBuilder, groth16.q, "f1m"); buildF1(moduleBuilder, groth16.r, "fr", "frm"); buildCurve(moduleBuilder, "g1", "f1m"); buildMultiexp(moduleBuilder, "g1", "g1", "f1m", "fr"); buildFFT(moduleBuilder, "fft", "frm"); buildPol(moduleBuilder, "pol", "frm");
const pNonResidueF2 = moduleBuilder.alloc( utils.bigInt2BytesLE( bigInt("15537367993719455909907449462855742678907882278146377936676643359958227611562"), // -1 in montgomery
groth16.n8 ) );
buildF2m(moduleBuilder, pNonResidueF2, "f2m", "f1m"); buildCurve(moduleBuilder, "g2", "f2m"); buildMultiexp(moduleBuilder, "g2", "g2", "f2m", "fr");
buildTest(moduleBuilder);
const code = moduleBuilder.build();
const wasmModule = await WebAssembly.compile(code);
groth16.instance = await WebAssembly.instantiate(wasmModule, { env: { "memory": groth16.memory } });
groth16.pq = moduleBuilder.modules.f1m.pq; groth16.pr = moduleBuilder.modules.frm.pq;
groth16.pr0 = groth16.alloc(192); groth16.pr1 = groth16.alloc(192);
groth16.workers = []; groth16.pendingDeferreds = []; groth16.working = [];
const concurrency = navigator.hardwareConcurrency || 8;
for (let i = 0; i<concurrency+2; i++) {
const blob = new Blob(["(", thread.toString(), ")(self);"], { type: "text/javascript" }); const url = URL.createObjectURL(blob);
groth16.workers[i] = new Worker(url);
groth16.workers[i].onmessage = function(e) { groth16.working[i]=false; groth16.pendingDeferreds[i].resolve(e.data); groth16.processWorks(); };
groth16.working[i]=false; }
const initPromises = []; for (let i=0; i<groth16.workers.length;i++) { const copyCode = code.slice(0).buffer; initPromises.push(groth16.postAction(i, { command: "INIT", init: 1000, code: copyCode
}, [copyCode])); }
await Promise.all(initPromises);
return groth16; }
class Groth16 { constructor() { this.actionQueue = []; }
postAction(workerId, e, transfers, _deferred) { assert(this.working[workerId] == false); this.working[workerId] = true;
this.pendingDeferreds[workerId] = _deferred ? _deferred : new Deferred(); this.workers[workerId].postMessage(e, transfers);
return this.pendingDeferreds[workerId].promise; }
processWorks() { for (let i=0; (i<this.workers.length)&&(this.actionQueue.length > 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(); this.actionQueue.push({ data: actionData, transfers: transfers, deferred: d }); this.processWorks(); return d.promise; }
alloc(length) { while (this.i32[0] & 3) this.i32[0]++; // Return always aligned pointers
const res = this.i32[0]; this.i32[0] += length; return res; }
putBin(p, b) { const s32 = new Uint32Array(b); this.i32.set(s32, p/4); }
getBin(p, l) { return this.memory.buffer.slice(p, p+l); }
bin2int(b) { const i32 = new Uint32Array(b); let acc = bigInt(i32[7]); for (let i=6; i>=0; i--) { acc = acc.shiftLeft(32); acc = acc.add(i32[i]); } return acc.toString(); }
bin2g1(b) { return [ this.bin2int(b.slice(0,32)), this.bin2int(b.slice(32,64)), this.bin2int(b.slice(64,96)), ]; } bin2g2(b) { return [ [ this.bin2int(b.slice(0,32)), this.bin2int(b.slice(32,64)) ], [ this.bin2int(b.slice(64,96)), this.bin2int(b.slice(96,128)) ], [ this.bin2int(b.slice(128,160)), this.bin2int(b.slice(160,192)) ], ]; }
async g1_multiexp(scalars, points) { const nPoints = scalars.byteLength /32; const nPointsPerThread = Math.floor(nPoints / this.workers.length); const opPromises = []; for (let i=0; i<this.workers.length; i++) { const th_nPoints = i < this.workers.length -1 ? nPointsPerThread : nPoints - (nPointsPerThread * (this.workers.length -1)); const scalars_th = scalars.slice(i*nPointsPerThread*32, i*nPointsPerThread*32 + th_nPoints*32); const points_th = points.slice(i*nPointsPerThread*64, i*nPointsPerThread*64 + th_nPoints*64); opPromises.push( this.queueAction({ command: "G1_MULTIEXP", scalars: scalars_th, points: points_th, n: th_nPoints }, [scalars_th, points_th]) ); }
const results = await Promise.all(opPromises);
this.instance.exports.g1_zero(this.pr0); for (let i=0; i<results.length; i++) { this.putBin(this.pr1, results[i]); this.instance.exports.g1_add(this.pr0, this.pr1, this.pr0); }
return this.getBin(this.pr0, 96); }
async g2_multiexp(scalars, points) { const nPoints = scalars.byteLength /32; const nPointsPerThread = Math.floor(nPoints / this.workers.length); const opPromises = []; for (let i=0; i<this.workers.length; i++) { const th_nPoints = i < this.workers.length -1 ? nPointsPerThread : nPoints - (nPointsPerThread * (this.workers.length -1)); const scalars_th = scalars.slice(i*nPointsPerThread*32, i*nPointsPerThread*32 + th_nPoints*32); const points_th = points.slice(i*nPointsPerThread*128, i*nPointsPerThread*128 + th_nPoints*128); opPromises.push( this.queueAction({ command: "G2_MULTIEXP", scalars: scalars_th, points: points_th, n: th_nPoints }, [scalars_th, points_th]) ); }
const results = await Promise.all(opPromises);
this.instance.exports.g2_zero(this.pr0); for (let i=0; i<results.length; i++) { this.putBin(this.pr1, results[i]); this.instance.exports.g2_add(this.pr0, this.pr1, this.pr0); }
return this.getBin(this.pr0, 192); }
g1_affine(p) { this.putBin(this.pr0, p); this.instance.exports.g1_affine(this.pr0, this.pr0); return this.getBin(this.pr0, 96); }
g2_affine(p) { this.putBin(this.pr0, p); this.instance.exports.g2_affine(this.pr0, this.pr0); return this.getBin(this.pr0, 192); }
g1_fromMontgomery(p) { this.putBin(this.pr0, p); this.instance.exports.g1_fromMontgomery(this.pr0, this.pr0); return this.getBin(this.pr0, 96); }
g2_fromMontgomery(p) { this.putBin(this.pr0, p); this.instance.exports.g2_fromMontgomery(this.pr0, this.pr0); return this.getBin(this.pr0, 192); }
loadPoint1(b) { const p = this.alloc(96); this.putBin(p, b); this.instance.exports.f1m_one(p+64); return p; }
loadPoint2(b) { const p = this.alloc(192); this.putBin(p, b); this.instance.exports.f2m_one(p+128); return p; }
async calcH(signals, polsA, polsB, nSignals, domainSize) { return this.queueAction({ command: "CALC_H", signals: signals, polsA: polsA, polsB: polsB, nSignals: nSignals, domainSize: domainSize }, [signals, polsA, polsB]); }
async proof(signals, pkey) { const pkey32 = new Uint32Array(pkey); const nSignals = pkey32[0]; const nPublic = pkey32[1]; const domainSize = pkey32[2]; const pPolsA = pkey32[3]; const pPolsB = pkey32[4]; const pPointsA = pkey32[5]; const pPointsB1 = pkey32[6]; const pPointsB2 = pkey32[7]; const pPointsC = pkey32[8]; const pHExps = pkey32[9]; const polsA = pkey.slice(pPolsA, pPolsA + pPolsB); const polsB = pkey.slice(pPolsB, pPolsB + pPointsA); const pointsA = pkey.slice(pPointsA, pPointsA + nSignals*64); const pointsB1 = pkey.slice(pPointsB1, pPointsB1 + nSignals*64); const pointsB2 = pkey.slice(pPointsB2, pPointsB2 + nSignals*128); const pointsC = pkey.slice(pPointsC, pPointsC + (nSignals-nPublic-1)*64); const pointsHExps = pkey.slice(pHExps, pHExps + domainSize*64);
const alfa1 = pkey.slice(10*4, 10*4 + 64); const beta1 = pkey.slice(10*4 + 64, 10*4 + 128); const delta1 = pkey.slice(10*4 + 128, 10*4 + 192); const beta2 = pkey.slice(10*4 + 192, 10*4 + 320); const delta2 = pkey.slice(10*4 + 320, 10*4 + 448);
const pH = this.calcH(signals.slice(0), polsA, polsB, nSignals, domainSize).then( (h) => { return this.g1_multiexp(h, pointsHExps); });
const pA = this.g1_multiexp(signals.slice(0), pointsA); const pB1 = this.g1_multiexp(signals.slice(0), pointsB1); const pB2 = this.g2_multiexp(signals.slice(0), pointsB2); const pC = this.g1_multiexp(signals.slice((nPublic+1)*32), pointsC);
const res = await Promise.all([pA, pB1, pB2, pC, pH]);
const pi_a = this.alloc(96); const pi_b = this.alloc(192); const pi_c = this.alloc(96); const pib1 = this.alloc(96);
this.putBin(pi_a, res[0]); this.putBin(pib1, res[1]); this.putBin(pi_b, res[2]); this.putBin(pi_c, res[3]);
const pAlfa1 = this.loadPoint1(alfa1); const pBeta1 = this.loadPoint1(beta1); const pDelta1 = this.loadPoint1(delta1); const pBeta2 = this.loadPoint2(beta2); const pDelta2 = this.loadPoint2(delta2);
let rnd = new Uint32Array(8);
const aux1 = this.alloc(96); const aux2 = this.alloc(192);
window.crypto.getRandomValues(rnd); const pr = this.alloc(32); this.putBin(pr, rnd); // this.instance.exports.frm_normalize(pr);
window.crypto.getRandomValues(rnd); const ps = this.alloc(32); this.putBin(ps, rnd); // this.instance.exports.frm_normalize(ps);
//this.instance.exports.frm_zero(pr);
//this.instance.exports.frm_zero(ps);
// pi_a = pi_a + Alfa1 + r*Delta1
this.instance.exports.g1_add(pAlfa1, pi_a, pi_a); // this.instance.exports.g1_mulscalar(pr, pDelta1, 1, 1, aux1);
this.instance.exports.g1_timesScalar(pDelta1, pr, 32, aux1); this.instance.exports.g1_add(aux1, pi_a, pi_a);
// pi_b = pi_b + Beta2 + s*Delta2
this.instance.exports.g2_add(pBeta2, pi_b, pi_b); this.instance.exports.g2_timesScalar(pDelta2, ps, 32, aux2); this.instance.exports.g2_add(aux2, pi_b, pi_b);
// pib1 = pib1 + Beta1 + s*Delta1
this.instance.exports.g1_add(pBeta1, pib1, pib1); this.instance.exports.g1_timesScalar(pDelta1, ps, 32, aux1); this.instance.exports.g1_add(aux1, pib1, pib1);
// pi_c = pi_c + pH
this.putBin(aux1, res[4]); this.instance.exports.g1_add(aux1, pi_c, pi_c);
// pi_c = pi_c + s*pi_a
this.instance.exports.g1_timesScalar(pi_a, ps, 32, aux1); this.instance.exports.g1_add(aux1, pi_c, pi_c);
// pi_c = pi_c + r*pib1
this.instance.exports.g1_timesScalar(pib1, pr, 32, aux1); this.instance.exports.g1_add(aux1, pi_c, pi_c);
// pi_c = pi_c - r*s*delta1
const prs = this.alloc(64); this.instance.exports.int_mul(pr, ps, prs); this.instance.exports.g1_timesScalar(pDelta1, prs, 64, aux1); this.instance.exports.g1_neg(aux1, aux1); this.instance.exports.g1_add(aux1, pi_c, pi_c);
this.instance.exports.g1_affine(pi_a, pi_a); this.instance.exports.g2_affine(pi_b, pi_b); this.instance.exports.g1_affine(pi_c, pi_c);
this.instance.exports.g1_fromMontgomery(pi_a, pi_a); this.instance.exports.g2_fromMontgomery(pi_b, pi_b); this.instance.exports.g1_fromMontgomery(pi_c, pi_c);
return { pi_a: this.bin2g1(this.getBin(pi_a, 96)), pi_b: this.bin2g2(this.getBin(pi_b, 192)), pi_c: this.bin2g1(this.getBin(pi_c, 96)), };
}
}
module.exports = build;
},{"./build_curve.js":4,"./build_f1.js":5,"./build_f1m.js":6,"./build_f2m.js":7,"./build_fft":8,"./build_multiexp":10,"./build_pol":11,"./build_testg1":13,"./utils":17,"./wasmbuilder/index.js":20,"assert":24,"big-integer":2}],17:[function(require,module,exports){ const bigInt = require("big-integer");
exports.bigInt2BytesLE = function bigInt2BytesLE(_a, len) { const b = Array(len); let v = bigInt(_a); for (let i=0; i<len; i++) { b[i] = v.and(0xFF).toJSNumber(); v = v.shiftRight(8); } return b; };
exports.bigInt2U32LE = function bigInt2BytesLE(_a, len) { const b = Array(len); let v = bigInt(_a); for (let i=0; i<len; i++) { b[i] = v.and(0xFFFFFFFF).toJSNumber(); v = v.shiftRight(32); } return b; };
},{"big-integer":2}],18:[function(require,module,exports){ const utils = require("./utils.js");
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, ...utils.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, ...utils.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, ...utils.varuint32( idx )]; }
i64_load8_s(idxCode, _offset, _align) { const offset = _offset || 0; const align = (_align === undefined) ? 0 : _align; // 32 bits alignment by default
return [...idxCode, 0x30, align, ...utils.varuint32(offset)]; }
i64_load8_u(idxCode, _offset, _align) { const offset = _offset || 0; const align = (_align === undefined) ? 0 : _align; // 32 bits alignment by default
return [...idxCode, 0x31, align, ...utils.varuint32(offset)]; }
i64_load16_s(idxCode, _offset, _align) { const offset = _offset || 0; const align = (_align === undefined) ? 1 : _align; // 32 bits alignment by default
return [...idxCode, 0x32, align, ...utils.varuint32(offset)]; }
i64_load16_u(idxCode, _offset, _align) { const offset = _offset || 0; const align = (_align === undefined) ? 1 : _align; // 32 bits alignment by default
return [...idxCode, 0x33, align, ...utils.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, ...utils.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, ...utils.varuint32(offset)]; }
i64_load(idxCode, _offset, _align) { const offset = _offset || 0; const align = (_align === undefined) ? 3 : _align; // 32 bits alignment by default
return [...idxCode, 0x29, align, ...utils.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, ...utils.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, ...utils.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, ...utils.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, ...utils.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, ...utils.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, ...utils.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, ...utils.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, ...utils.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, ...utils.varuint32(idx)]; }
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, ...utils.varuint32(relPath)]; } br(relPath) { return [0x0c, ...utils.varuint32(relPath)]; } ret(rCode) { return [...rCode, 0x0f]; } drop(dCode) { return [...dCode, 0x1a]; }
i64_const(num) { return [0x42, ...utils.varint64(num)]; } i32_const(num) { return [0x41, ...utils.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_u(op1code, op2code) { return [...op1code, ...op2code, 0x80]; } i64_and(op1code, op2code) { return [...op1code, ...op2code, 0x83]; } i64_or(op1code, op2code) { return [...op1code, ...op2code, 0x84]; } 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_u(op1code) { return [...op1code, 0xad]; }
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_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]; }
unreachable() { return [ 0x0 ]; }
}
module.exports = CodeBuilder;
},{"./utils.js":22}],19:[function(require,module,exports){
const CodeBuilder = require("./codebuilder.js"); const utils = require("./utils.js");
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 = [...utils.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) => [ ...utils.varuint32(l.length), typeCodes[l.type] ]);
const body = [ ...utils.varuint32(this.locals.length), ...[].concat(...locals), ...this.code, 0x0b ]; return [ ...utils.varuint32(body.length), ...body ]; }
addCode(...code) { this.code.push(...[].concat(...[...code])); }
getCodeBuilder() { return new CodeBuilder(this); } }
module.exports = FunctionBuilder;
},{"./codebuilder.js":18,"./utils.js":22}],20:[function(require,module,exports){ module.exports = require("./modulebuilder");
},{"./modulebuilder":21}],21:[function(require,module,exports){
const FunctionBuilder = require("./functionbuilder.js"); const utils = require("./utils.js");
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 = []; }
build() { this._setSignatures(); return new Uint8Array([ ...utils.u32(0x6d736100), ...utils.u32(1), ...this._buildType(), ...this._buildImport(), ...this._buildFunctionDeclarations(), ...this._buildExports(), ...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 }); }
addData(offset, bytes) { this.datas.push({ offset: offset, bytes: bytes }); }
alloc(a, b) { let size; let bytes; if (Array.isArray(a) && (typeof(b) === "undefined")) { size = a.length; bytes = a; } else { size = a; bytes = b; } const p = this.free; this.free += size; if (bytes) { this.addData(p, bytes); } return p; }
_setSignatures() { this.signatures = []; const signatureIdxByName = {}; for (let i=0; i<this.functions.length; i++) { const signature = this.functions[i].getSignature(); const signatureName = "s_"+utils.toHexString(signature); if (typeof(signatureIdxByName[signatureName]) === "undefined") { signatureIdxByName[signatureName] = this.signatures.length; this.signatures.push(signature); }
this.functions[i].signatureIdx = signatureIdxByName[signatureName]; }
}
_buildSection(sectionType, section) { return [sectionType, ...utils.varuint32(section.length), ...section]; }
_buildType() { return this._buildSection( 0x01, [ ...utils.varuint32(this.signatures.length), ...[].concat(...this.signatures) ] ); }
_buildImport() { const entries = []; entries.push([ ...utils.string(this.memory.moduleName), ...utils.string(this.memory.fieldName), 0x02, 0x00, //Flags no init valua
...utils.varuint32(this.memory.pagesSize) ]); for (let i=0; i< this.nImportFunctions; i++) { entries.push([ ...utils.string(this.functions[i].moduleName), ...utils.string(this.functions[i].fieldName), 0x00, ...utils.varuint32(this.functions[i].signatureIdx) ]); } return this._buildSection( 0x02, utils.varuint32(entries.length).concat(...entries) ); }
_buildFunctionDeclarations() { const entries = []; for (let i=this.nImportFunctions; i< this.nInternalFunctions; i++) { entries.push(...utils.varuint32(this.functions[i].signatureIdx)); } return this._buildSection( 0x03, [ ...utils.varuint32(entries.length), ...[...entries] ] ); }
_buildExports() { const entries = []; for (let i=0; i< this.exports.length; i++) { entries.push([ ...utils.string(this.exports[i].exportName), 0x00, ...utils.varuint32(this.exports[i].idx) ]); } return this._buildSection( 0x07, utils.varuint32(entries.length).concat(...entries) ); }
_buildCode() { const entries = []; for (let i=this.nImportFunctions; i< this.nInternalFunctions; i++) { entries.push(this.functions[i].getBody()); } return this._buildSection( 0x0a, utils.varuint32(entries.length).concat(...entries) ); }
_buildData() { const entries = []; entries.push([ 0x00, 0x41, 0x00, 0x0b, 0x04, ...utils.u32(this.free) ]); for (let i=0; i< this.datas.length; i++) { entries.push([ 0x00, 0x41, ...utils.varint32(this.datas[i].offset), 0x0b, ...utils.varuint32(this.datas[i].bytes.length), ...this.datas[i].bytes, ]); } return this._buildSection( 0x0b, utils.varuint32(entries.length).concat(...entries) ); }
}
module.exports = ModuleBuilder;
},{"./functionbuilder.js":19,"./utils.js":22}],22:[function(require,module,exports){ var bigInt = require("big-integer");
function toNumber(n) { let v; if (typeof n=="string") { if (n.slice(0,2).toLowerCase() == "0x") { v = bigInt(n.slice(2),16); } else { v = bigInt(n); } } else { v = bigInt(n); } return v; }
function u32(n) { const b = []; const v = toNumber(n); b.push(v.and(0xFF).toJSNumber()); b.push(v.shiftRight(8).and(0xFF).toJSNumber()); b.push(v.shiftRight(16).and(0xFF).toJSNumber()); b.push(v.shiftRight(24).and(0xFF).toJSNumber()); return b; }
function u64(n) { const b = []; const v = toNumber(n); b.push(v.and(0xFF).toJSNumber()); b.push(v.shiftRight(8).and(0xFF).toJSNumber()); b.push(v.shiftRight(16).and(0xFF).toJSNumber()); b.push(v.shiftRight(24).and(0xFF).toJSNumber()); b.push(v.shiftRight(32).and(0xFF).toJSNumber()); b.push(v.shiftRight(40).and(0xFF).toJSNumber()); b.push(v.shiftRight(48).and(0xFF).toJSNumber()); b.push(v.shiftRight(56).and(0xFF).toJSNumber()); 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 (v.isNegative()) throw new Error("Number cannot be negative"); while (!v.isZero()) { code.push(v.and(0x7F).toJSNumber()); v = v.shiftRight(7); } if (code.length==0) code.push(0); for (let i=0; i<code.length-1; i++) { code[i] = code[i] | 0x80; } return code; }
function varint(_n) { let n, sign; const bits = _n.bitLength().toJSNumber(); if (_n<0) { sign = true; n = bigInt.one.shiftLeft(bits).add(_n); } else { sign = false; n = toNumber(_n); } const paddingBits = 7 - (bits % 7);
const padding = bigInt.one.shiftLeft(paddingBits).minus(1).shiftLeft(bits); const paddingMask = ((1 << (7 - paddingBits))-1) | 0x80;
const code = varuint(n.add(padding));
if (!sign) { code[code.length-1] = code[code.length-1] & paddingMask; }
return code; }
function varint32(n) { let v = toNumber(n); if (v.greater(bigInt("FFFFFFFF", 16))) throw new Error("Number too big"); if (v.greater(bigInt("7FFFFFFF", 16))) v = v.minus(bigInt("100000000",16)); if (v.lesser(bigInt("-80000000", 16))) throw new Error("Number too small"); return varint(v); }
function varint64(n) { let v = toNumber(n); if (v.greater(bigInt("FFFFFFFFFFFFFFFF", 16))) throw new Error("Number too big"); if (v.greater(bigInt("7FFFFFFFFFFFFFFF", 16))) v = v.minus(bigInt("10000000000000000",16)); if (v.lesser(bigInt("-8000000000000000", 16))) throw new Error("Number too small"); return varint(v); }
function varuint32(n) { let v = toNumber(n); if (v.greater(bigInt("FFFFFFFF", 16))) throw new Error("Number too big"); return varuint(v); }
function varuint64(n) { let v = toNumber(n); if (v.greater(bigInt("FFFFFFFFFFFFFFFF", 16))) 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(""); }
module.exports.toNumber = toNumber; module.exports.u32 = u32; module.exports.u64 = u64; module.exports.varuint32 = varuint32; module.exports.varuint64 = varuint64; module.exports.varint32 = varint32; module.exports.varint64 = varint64; module.exports.string = string; module.exports.toHexString = toHexString;
},{"big-integer":2}],23:[function(require,module,exports){ /* globals window */
console.log("Loading groth16/1..."); const buildF1 = require("./index.js").buildF1; const buildBn128 = require("./index.js").buildBn128; const buildGroth16 = require("./index.js").buildGroth16; const bigInt = require("big-integer");
buildGroth16().then( (_groth16) => { window.groth16 = _groth16; });
window.bigInt = bigInt; window.q = bigInt("21888242871839275222246405745257275088696311157297823662689037894645226208583");
buildF1(window.q).then( (_f1) => { window.F1 = _f1; }); buildBn128().then( (_bn128) => { window.bn128 = _bn128; window.pg = window.bn128.g1_allocPoint( [ bigInt(1), bigInt(2), bigInt(1)] ); window.pArr = window.bn128.alloc(32*4); for (let i=0; i<4; i++) { window.bn128.putInt(window.pArr+i*32, i); }
fetch("proving_key.bin").then( (response) => { return response.arrayBuffer(); }).then( (b) => { window.provingKey = b; window.pProvingKey = window.bn128.putBin(b); window.pPointsA = window.pProvingKey + window.bn128.i32[(window.pProvingKey>>2) + 6]; window.pPointsB2 = window.pProvingKey + window.bn128.i32[(window.pProvingKey>>2) + 7]; window.nSignals = window.bn128.i32[(window.pProvingKey>>2)]; });
fetch("witness.bin").then( (response) => { return response.arrayBuffer(); }).then( (b) => { window.signals = b; window.pWitness = window.bn128.putBin(b)+4; });
});
window.calcProof = function() { const signals =window.signals.slice(4, 4+window.nSignals*32); const start = new Date().getTime();
window.groth16.proof(signals, window.provingKey).then((p)=> { const end = new Date().getTime(); const time = end - start; console.log(JSON.stringify(p, null, 1)); console.log(time); document.getElementById("result").innerHTML = time; }); };
window.calcPolA = function() { const signals =window.signals.slice(4, 4+window.nSignals*32); const pkey32 = new Uint32Array(window.provingKey); const nSignals = pkey32[0]; const domainSize = pkey32[2]; const ppPolsA = pkey32[3]; const ppPolsB = pkey32[4]; const ppPolsC = pkey32[5]; const polsA = window.provingKey.slice(ppPolsA, ppPolsA + ppPolsB); const polsB = window.provingKey.slice(ppPolsB, ppPolsB + ppPolsC);
const pSignals = window.groth16.alloc(signals.byteLength); window.groth16.putBin(pSignals, signals); const pPolsA = window.groth16.alloc(polsA.byteLength); window.groth16.putBin(pPolsA, polsA); const pPolsB = window.groth16.alloc(polsB.byteLength); window.groth16.putBin(pPolsB, polsB);
const pSignalsM = window.groth16.alloc(nSignals*32); const pPolA = window.groth16.alloc(domainSize*32); const pPolB = window.groth16.alloc(domainSize*32); const pPolA2 = window.groth16.alloc(domainSize*32*2); const pPolB2 = window.groth16.alloc(domainSize*32*2);
window.groth16.instance.exports.fft_toMontgomeryN(pSignals, pSignalsM, nSignals);
window.groth16.instance.exports.pol_zero(pPolA, domainSize); window.groth16.instance.exports.pol_zero(pPolB, domainSize);
window.groth16.instance.exports.pol_constructLC(pPolsA, pSignalsM, nSignals, pPolA); window.groth16.instance.exports.pol_constructLC(pPolsB, pSignalsM, nSignals, pPolB);
window.groth16.instance.exports.fft_fromMontgomeryN(pPolA, pPolA, domainSize);
for (let i=0; i<10; i++) { const a = window.groth16.bin2int(window.groth16.getBin(pPolA + i*32, 32)); console.log(a.toString()); } };
window.calcPA_p = function() { const witness =window.witness.slice(4, 4+window.nSignals*32); const oPointsA = new Uint32Array(window.provingKey)[6]; const pointsA =window.provingKey.slice(oPointsA, oPointsA + window.nSignals*64); window.groth16.g1_multiexp(witness, pointsA).then( function(r) { const p1 = window.groth16.g1_affine(r); const p2 = window.groth16.g1_fromMontgomery(p1); const p = window.groth16.bin2g1(p2); console.log(p); }); };
window.calcPA = function(_n, _w) { const n = _n || window.nSignals; const w = _w || 5; const pA = window.bn128.alloc(32*3); window.bn128.g1_zero(pA); window.bn128.g1_multiexp( window.pWitness, window.pPointsA, n, w, pA ); window.bn128.g1_affine(pA, pA); window.bn128.g1_fromMontgomery(pA, pA); const res = window.bn128.g1_getPoint(pA); console.log(res[0].toString()); console.log(res[1].toString()); console.log(res[2].toString()); };
window.calcPB2 = function(_n, _w) { const n = _n || window.nSignals; const w = _w || 5; const pB2 = window.bn128.alloc(32*6); window.bn128.g2_zero(pB2); window.bn128.g2_multiexp( window.pWitness, window.pPointsB2, n, w, pB2 ); window.bn128.g2_affine(pB2, pB2); window.bn128.g2_fromMontgomery(pB2, pB2); const res = window.bn128.g2_getPoint(pB2); console.log(res[0][0].toString()); console.log(res[0][1].toString()); console.log(res[1][0].toString()); console.log(res[1][1].toString()); console.log(res[2][0].toString()); console.log(res[2][1].toString()); };
window.test = function() {
const t = window.F1.test_F1(100000000); document.getElementById("result").innerHTML = t; };
},{"./index.js":1,"big-integer":2}],24:[function(require,module,exports){ (function (global){ 'use strict';
// compare and isBuffer taken from https://github.com/feross/buffer/blob/680e9e5e488f22aac27599a57dc844a6315928dd/index.js
// original notice:
/*! * The buffer module from node.js, for the browser. * * @author Feross Aboukhadijeh <feross@feross.org> <http://feross.org>
* @license MIT */ function compare(a, b) { if (a === b) { return 0; }
var x = a.length; var y = b.length;
for (var i = 0, len = Math.min(x, y); i < len; ++i) { if (a[i] !== b[i]) { x = a[i]; y = b[i]; break; } }
if (x < y) { return -1; } if (y < x) { return 1; } return 0; } function isBuffer(b) { if (global.Buffer && typeof global.Buffer.isBuffer === 'function') { return global.Buffer.isBuffer(b); } return !!(b != null && b._isBuffer); }
// based on node assert, original notice:
// http://wiki.commonjs.org/wiki/Unit_Testing/1.0
//
// THIS IS NOT TESTED NOR LIKELY TO WORK OUTSIDE V8!
//
// Originally from narwhal.js (http://narwhaljs.org)
// Copyright (c) 2009 Thomas Robinson <280north.com>
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the 'Software'), to
// deal in the Software without restriction, including without limitation the
// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
// sell copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
// ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
var util = require('util/'); var hasOwn = Object.prototype.hasOwnProperty; var pSlice = Array.prototype.slice; var functionsHaveNames = (function () { return function foo() {}.name === 'foo'; }()); function pToString (obj) { return Object.prototype.toString.call(obj); } function isView(arrbuf) { if (isBuffer(arrbuf)) { return false; } if (typeof global.ArrayBuffer !== 'function') { return false; } if (typeof ArrayBuffer.isView === 'function') { return ArrayBuffer.isView(arrbuf); } if (!arrbuf) { return false; } if (arrbuf instanceof DataView) { return true; } if (arrbuf.buffer && arrbuf.buffer instanceof ArrayBuffer) { return true; } return false; } // 1. The assert module provides functions that throw
// AssertionError's when particular conditions are not met. The
// assert module must conform to the following interface.
var assert = module.exports = ok;
// 2. The AssertionError is defined in assert.
// new assert.AssertionError({ message: message,
// actual: actual,
// expected: expected })
var regex = /\s*function\s+([^\(\s]*)\s*/; // based on https://github.com/ljharb/function.prototype.name/blob/adeeeec8bfcc6068b187d7d9fb3d5bb1d3a30899/implementation.js
function getName(func) { if (!util.isFunction(func)) { return; } if (functionsHaveNames) { return func.name; } var str = func.toString(); var match = str.match(regex); return match && match[1]; } assert.AssertionError = function AssertionError(options) { this.name = 'AssertionError'; this.actual = options.actual; this.expected = options.expected; this.operator = options.operator; if (options.message) { this.message = options.message; this.generatedMessage = false; } else { this.message = getMessage(this); this.generatedMessage = true; } var stackStartFunction = options.stackStartFunction || fail; if (Error.captureStackTrace) { Error.captureStackTrace(this, stackStartFunction); } else { // non v8 browsers so we can have a stacktrace
var err = new Error(); if (err.stack) { var out = err.stack;
// try to strip useless frames
var fn_name = getName(stackStartFunction); var idx = out.indexOf('\n' + fn_name); if (idx >= 0) { // once we have located the function frame
// we need to strip out everything before it (and its line)
var next_line = out.indexOf('\n', idx + 1); out = out.substring(next_line + 1); }
this.stack = out; } } };
// assert.AssertionError instanceof Error
util.inherits(assert.AssertionError, Error);
function truncate(s, n) { if (typeof s === 'string') { return s.length < n ? s : s.slice(0, n); } else { return s; } } function inspect(something) { if (functionsHaveNames || !util.isFunction(something)) { return util.inspect(something); } var rawname = getName(something); var name = rawname ? ': ' + rawname : ''; return '[Function' + name + ']'; } function getMessage(self) { return truncate(inspect(self.actual), 128) + ' ' + self.operator + ' ' + truncate(inspect(self.expected), 128); }
// At present only the three keys mentioned above are used and
// understood by the spec. Implementations or sub modules can pass
// other keys to the AssertionError's constructor - they will be
// ignored.
// 3. All of the following functions must throw an AssertionError
// when a corresponding condition is not met, with a message that
// may be undefined if not provided. All assertion methods provide
// both the actual and expected values to the assertion error for
// display purposes.
function fail(actual, expected, message, operator, stackStartFunction) { throw new assert.AssertionError({ message: message, actual: actual, expected: expected, operator: operator, stackStartFunction: stackStartFunction }); }
// EXTENSION! allows for well behaved errors defined elsewhere.
assert.fail = fail;
// 4. Pure assertion tests whether a value is truthy, as determined
// by !!guard.
// assert.ok(guard, message_opt);
// This statement is equivalent to assert.equal(true, !!guard,
// message_opt);. To test strictly for the value true, use
// assert.strictEqual(true, guard, message_opt);.
function ok(value, message) { if (!value) fail(value, true, message, '==', assert.ok); } assert.ok = ok;
// 5. The equality assertion tests shallow, coercive equality with
// ==.
// assert.equal(actual, expected, message_opt);
assert.equal = function equal(actual, expected, message) { if (actual != expected) fail(actual, expected, message, '==', assert.equal); };
// 6. The non-equality assertion tests for whether two objects are not equal
// with != assert.notEqual(actual, expected, message_opt);
assert.notEqual = function notEqual(actual, expected, message) { if (actual == expected) { fail(actual, expected, message, '!=', assert.notEqual); } };
// 7. The equivalence assertion tests a deep equality relation.
// assert.deepEqual(actual, expected, message_opt);
assert.deepEqual = function deepEqual(actual, expected, message) { if (!_deepEqual(actual, expected, false)) { fail(actual, expected, message, 'deepEqual', assert.deepEqual); } };
assert.deepStrictEqual = function deepStrictEqual(actual, expected, message) { if (!_deepEqual(actual, expected, true)) { fail(actual, expected, message, 'deepStrictEqual', assert.deepStrictEqual); } };
function _deepEqual(actual, expected, strict, memos) { // 7.1. All identical values are equivalent, as determined by ===.
if (actual === expected) { return true; } else if (isBuffer(actual) && isBuffer(expected)) { return compare(actual, expected) === 0;
// 7.2. If the expected value is a Date object, the actual value is
// equivalent if it is also a Date object that refers to the same time.
} else if (util.isDate(actual) && util.isDate(expected)) { return actual.getTime() === expected.getTime();
// 7.3 If the expected value is a RegExp object, the actual value is
// equivalent if it is also a RegExp object with the same source and
// properties (`global`, `multiline`, `lastIndex`, `ignoreCase`).
} else if (util.isRegExp(actual) && util.isRegExp(expected)) { return actual.source === expected.source && actual.global === expected.global && actual.multiline === expected.multiline && actual.lastIndex === expected.lastIndex && actual.ignoreCase === expected.ignoreCase;
// 7.4. Other pairs that do not both pass typeof value == 'object',
// equivalence is determined by ==.
} else if ((actual === null || typeof actual !== 'object') && (expected === null || typeof expected !== 'object')) { return strict ? actual === expected : actual == expected;
// If both values are instances of typed arrays, wrap their underlying
// ArrayBuffers in a Buffer each to increase performance
// This optimization requires the arrays to have the same type as checked by
// Object.prototype.toString (aka pToString). Never perform binary
// comparisons for Float*Arrays, though, since e.g. +0 === -0 but their
// bit patterns are not identical.
} else if (isView(actual) && isView(expected) && pToString(actual) === pToString(expected) && !(actual instanceof Float32Array || actual instanceof Float64Array)) { return compare(new Uint8Array(actual.buffer), new Uint8Array(expected.buffer)) === 0;
// 7.5 For all other Object pairs, including Array objects, equivalence is
// determined by having the same number of owned properties (as verified
// with Object.prototype.hasOwnProperty.call), the same set of keys
// (although not necessarily the same order), equivalent values for every
// corresponding key, and an identical 'prototype' property. Note: this
// accounts for both named and indexed properties on Arrays.
} else if (isBuffer(actual) !== isBuffer(expected)) { return false; } else { memos = memos || {actual: [], expected: []};
var actualIndex = memos.actual.indexOf(actual); if (actualIndex !== -1) { if (actualIndex === memos.expected.indexOf(expected)) { return true; } }
memos.actual.push(actual); memos.expected.push(expected);
return objEquiv(actual, expected, strict, memos); } }
function isArguments(object) { return Object.prototype.toString.call(object) == '[object Arguments]'; }
function objEquiv(a, b, strict, actualVisitedObjects) { if (a === null || a === undefined || b === null || b === undefined) return false; // if one is a primitive, the other must be same
if (util.isPrimitive(a) || util.isPrimitive(b)) return a === b; if (strict && Object.getPrototypeOf(a) !== Object.getPrototypeOf(b)) return false; var aIsArgs = isArguments(a); var bIsArgs = isArguments(b); if ((aIsArgs && !bIsArgs) || (!aIsArgs && bIsArgs)) return false; if (aIsArgs) { a = pSlice.call(a); b = pSlice.call(b); return _deepEqual(a, b, strict); } var ka = objectKeys(a); var kb = objectKeys(b); var key, i; // having the same number of owned properties (keys incorporates
// hasOwnProperty)
if (ka.length !== kb.length) return false; //the same set of keys (although not necessarily the same order),
ka.sort(); kb.sort(); //~~~cheap key test
for (i = ka.length - 1; i >= 0; i--) { if (ka[i] !== kb[i]) return false; } //equivalent values for every corresponding key, and
//~~~possibly expensive deep test
for (i = ka.length - 1; i >= 0; i--) { key = ka[i]; if (!_deepEqual(a[key], b[key], strict, actualVisitedObjects)) return false; } return true; }
// 8. The non-equivalence assertion tests for any deep inequality.
// assert.notDeepEqual(actual, expected, message_opt);
assert.notDeepEqual = function notDeepEqual(actual, expected, message) { if (_deepEqual(actual, expected, false)) { fail(actual, expected, message, 'notDeepEqual', assert.notDeepEqual); } };
assert.notDeepStrictEqual = notDeepStrictEqual; function notDeepStrictEqual(actual, expected, message) { if (_deepEqual(actual, expected, true)) { fail(actual, expected, message, 'notDeepStrictEqual', notDeepStrictEqual); } }
// 9. The strict equality assertion tests strict equality, as determined by ===.
// assert.strictEqual(actual, expected, message_opt);
assert.strictEqual = function strictEqual(actual, expected, message) { if (actual !== expected) { fail(actual, expected, message, '===', assert.strictEqual); } };
// 10. The strict non-equality assertion tests for strict inequality, as
// determined by !==. assert.notStrictEqual(actual, expected, message_opt);
assert.notStrictEqual = function notStrictEqual(actual, expected, message) { if (actual === expected) { fail(actual, expected, message, '!==', assert.notStrictEqual); } };
function expectedException(actual, expected) { if (!actual || !expected) { return false; }
if (Object.prototype.toString.call(expected) == '[object RegExp]') { return expected.test(actual); }
try { if (actual instanceof expected) { return true; } } catch (e) { // Ignore. The instanceof check doesn't work for arrow functions.
}
if (Error.isPrototypeOf(expected)) { return false; }
return expected.call({}, actual) === true; }
function _tryBlock(block) { var error; try { block(); } catch (e) { error = e; } return error; }
function _throws(shouldThrow, block, expected, message) { var actual;
if (typeof block !== 'function') { throw new TypeError('"block" argument must be a function'); }
if (typeof expected === 'string') { message = expected; expected = null; }
actual = _tryBlock(block);
message = (expected && expected.name ? ' (' + expected.name + ').' : '.') + (message ? ' ' + message : '.');
if (shouldThrow && !actual) { fail(actual, expected, 'Missing expected exception' + message); }
var userProvidedMessage = typeof message === 'string'; var isUnwantedException = !shouldThrow && util.isError(actual); var isUnexpectedException = !shouldThrow && actual && !expected;
if ((isUnwantedException && userProvidedMessage && expectedException(actual, expected)) || isUnexpectedException) { fail(actual, expected, 'Got unwanted exception' + message); }
if ((shouldThrow && actual && expected && !expectedException(actual, expected)) || (!shouldThrow && actual)) { throw actual; } }
// 11. Expected to throw an error:
// assert.throws(block, Error_opt, message_opt);
assert.throws = function(block, /*optional*/error, /*optional*/message) { _throws(true, block, error, message); };
// EXTENSION! This is annoying to write outside this module.
assert.doesNotThrow = function(block, /*optional*/error, /*optional*/message) { _throws(false, block, error, message); };
assert.ifError = function(err) { if (err) throw err; };
var objectKeys = Object.keys || function (obj) { var keys = []; for (var key in obj) { if (hasOwn.call(obj, key)) keys.push(key); } return keys; };
}).call(this,typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {}) },{"util/":27}],25:[function(require,module,exports){ if (typeof Object.create === 'function') { // implementation from standard node.js 'util' module
module.exports = function inherits(ctor, superCtor) { ctor.super_ = superCtor ctor.prototype = Object.create(superCtor.prototype, { constructor: { value: ctor, enumerable: false, writable: true, configurable: true } }); }; } else { // old school shim for old browsers
module.exports = function inherits(ctor, superCtor) { ctor.super_ = superCtor var TempCtor = function () {} TempCtor.prototype = superCtor.prototype ctor.prototype = new TempCtor() ctor.prototype.constructor = ctor } }
},{}],26:[function(require,module,exports){ module.exports = function isBuffer(arg) { return arg && typeof arg === 'object' && typeof arg.copy === 'function' && typeof arg.fill === 'function' && typeof arg.readUInt8 === 'function'; } },{}],27:[function(require,module,exports){ (function (process,global){ // Copyright Joyent, Inc. and other Node contributors.
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to permit
// persons to whom the Software is furnished to do so, subject to the
// following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
// USE OR OTHER DEALINGS IN THE SOFTWARE.
var formatRegExp = /%[sdj%]/g; exports.format = function(f) { if (!isString(f)) { var objects = []; for (var i = 0; i < arguments.length; i++) { objects.push(inspect(arguments[i])); } return objects.join(' '); }
var i = 1; var args = arguments; var len = args.length; var str = String(f).replace(formatRegExp, function(x) { if (x === '%%') return '%'; if (i >= len) return x; switch (x) { case '%s': return String(args[i++]); case '%d': return Number(args[i++]); case '%j': try { return JSON.stringify(args[i++]); } catch (_) { return '[Circular]'; } default: return x; } }); for (var x = args[i]; i < len; x = args[++i]) { if (isNull(x) || !isObject(x)) { str += ' ' + x; } else { str += ' ' + inspect(x); } } return str; };
// Mark that a method should not be used.
// Returns a modified function which warns once by default.
// If --no-deprecation is set, then it is a no-op.
exports.deprecate = function(fn, msg) { // Allow for deprecating things in the process of starting up.
if (isUndefined(global.process)) { return function() { return exports.deprecate(fn, msg).apply(this, arguments); }; }
if (process.noDeprecation === true) { return fn; }
var warned = false; function deprecated() { if (!warned) { if (process.throwDeprecation) { throw new Error(msg); } else if (process.traceDeprecation) { console.trace(msg); } else { console.error(msg); } warned = true; } return fn.apply(this, arguments); }
return deprecated; };
var debugs = {}; var debugEnviron; exports.debuglog = function(set) { if (isUndefined(debugEnviron)) debugEnviron = process.env.NODE_DEBUG || ''; set = set.toUpperCase(); if (!debugs[set]) { if (new RegExp('\\b' + set + '\\b', 'i').test(debugEnviron)) { var pid = process.pid; debugs[set] = function() { var msg = exports.format.apply(exports, arguments); console.error('%s %d: %s', set, pid, msg); }; } else { debugs[set] = function() {}; } } return debugs[set]; };
/** * Echos the value of a value. Trys to print the value out * in the best way possible given the different types. * * @param {Object} obj The object to print out. * @param {Object} opts Optional options object that alters the output. */ /* legacy: obj, showHidden, depth, colors*/ function inspect(obj, opts) { // default options
var ctx = { seen: [], stylize: stylizeNoColor }; // legacy...
if (arguments.length >= 3) ctx.depth = arguments[2]; if (arguments.length >= 4) ctx.colors = arguments[3]; if (isBoolean(opts)) { // legacy...
ctx.showHidden = opts; } else if (opts) { // got an "options" object
exports._extend(ctx, opts); } // set default options
if (isUndefined(ctx.showHidden)) ctx.showHidden = false; if (isUndefined(ctx.depth)) ctx.depth = 2; if (isUndefined(ctx.colors)) ctx.colors = false; if (isUndefined(ctx.customInspect)) ctx.customInspect = true; if (ctx.colors) ctx.stylize = stylizeWithColor; return formatValue(ctx, obj, ctx.depth); } exports.inspect = inspect;
// http://en.wikipedia.org/wiki/ANSI_escape_code#graphics
inspect.colors = { 'bold' : [1, 22], 'italic' : [3, 23], 'underline' : [4, 24], 'inverse' : [7, 27], 'white' : [37, 39], 'grey' : [90, 39], 'black' : [30, 39], 'blue' : [34, 39], 'cyan' : [36, 39], 'green' : [32, 39], 'magenta' : [35, 39], 'red' : [31, 39], 'yellow' : [33, 39] };
// Don't use 'blue' not visible on cmd.exe
inspect.styles = { 'special': 'cyan', 'number': 'yellow', 'boolean': 'yellow', 'undefined': 'grey', 'null': 'bold', 'string': 'green', 'date': 'magenta', // "name": intentionally not styling
'regexp': 'red' };
function stylizeWithColor(str, styleType) { var style = inspect.styles[styleType];
if (style) { return '\u001b[' + inspect.colors[style][0] + 'm' + str + '\u001b[' + inspect.colors[style][1] + 'm'; } else { return str; } }
function stylizeNoColor(str, styleType) { return str; }
function arrayToHash(array) { var hash = {};
array.forEach(function(val, idx) { hash[val] = true; });
return hash; }
function formatValue(ctx, value, recurseTimes) { // Provide a hook for user-specified inspect functions.
// Check that value is an object with an inspect function on it
if (ctx.customInspect && value && isFunction(value.inspect) && // Filter out the util module, it's inspect function is special
value.inspect !== exports.inspect && // Also filter out any prototype objects using the circular check.
!(value.constructor && value.constructor.prototype === value)) { var ret = value.inspect(recurseTimes, ctx); if (!isString(ret)) { ret = formatValue(ctx, ret, recurseTimes); } return ret; }
// Primitive types cannot have properties
var primitive = formatPrimitive(ctx, value); if (primitive) { return primitive; }
// Look up the keys of the object.
var keys = Object.keys(value); var visibleKeys = arrayToHash(keys);
if (ctx.showHidden) { keys = Object.getOwnPropertyNames(value); }
// IE doesn't make error fields non-enumerable
// http://msdn.microsoft.com/en-us/library/ie/dww52sbt(v=vs.94).aspx
if (isError(value) && (keys.indexOf('message') >= 0 || keys.indexOf('description') >= 0)) { return formatError(value); }
// Some type of object without properties can be shortcutted.
if (keys.length === 0) { if (isFunction(value)) { var name = value.name ? ': ' + value.name : ''; return ctx.stylize('[Function' + name + ']', 'special'); } if (isRegExp(value)) { return ctx.stylize(RegExp.prototype.toString.call(value), 'regexp'); } if (isDate(value)) { return ctx.stylize(Date.prototype.toString.call(value), 'date'); } if (isError(value)) { return formatError(value); } }
var base = '', array = false, braces = ['{', '}'];
// Make Array say that they are Array
if (isArray(value)) { array = true; braces = ['[', ']']; }
// Make functions say that they are functions
if (isFunction(value)) { var n = value.name ? ': ' + value.name : ''; base = ' [Function' + n + ']'; }
// Make RegExps say that they are RegExps
if (isRegExp(value)) { base = ' ' + RegExp.prototype.toString.call(value); }
// Make dates with properties first say the date
if (isDate(value)) { base = ' ' + Date.prototype.toUTCString.call(value); }
// Make error with message first say the error
if (isError(value)) { base = ' ' + formatError(value); }
if (keys.length === 0 && (!array || value.length == 0)) { return braces[0] + base + braces[1]; }
if (recurseTimes < 0) { if (isRegExp(value)) { return ctx.stylize(RegExp.prototype.toString.call(value), 'regexp'); } else { return ctx.stylize('[Object]', 'special'); } }
ctx.seen.push(value);
var output; if (array) { output = formatArray(ctx, value, recurseTimes, visibleKeys, keys); } else { output = keys.map(function(key) { return formatProperty(ctx, value, recurseTimes, visibleKeys, key, array); }); }
ctx.seen.pop();
return reduceToSingleString(output, base, braces); }
function formatPrimitive(ctx, value) { if (isUndefined(value)) return ctx.stylize('undefined', 'undefined'); if (isString(value)) { var simple = '\'' + JSON.stringify(value).replace(/^"|"$/g, '') .replace(/'/g, "\\'") .replace(/\\"/g, '"') + '\''; return ctx.stylize(simple, 'string'); } if (isNumber(value)) return ctx.stylize('' + value, 'number'); if (isBoolean(value)) return ctx.stylize('' + value, 'boolean'); // For some reason typeof null is "object", so special case here.
if (isNull(value)) return ctx.stylize('null', 'null'); }
function formatError(value) { return '[' + Error.prototype.toString.call(value) + ']'; }
function formatArray(ctx, value, recurseTimes, visibleKeys, keys) { var output = []; for (var i = 0, l = value.length; i < l; ++i) { if (hasOwnProperty(value, String(i))) { output.push(formatProperty(ctx, value, recurseTimes, visibleKeys, String(i), true)); } else { output.push(''); } } keys.forEach(function(key) { if (!key.match(/^\d+$/)) { output.push(formatProperty(ctx, value, recurseTimes, visibleKeys, key, true)); } }); return output; }
function formatProperty(ctx, value, recurseTimes, visibleKeys, key, array) { var name, str, desc; desc = Object.getOwnPropertyDescriptor(value, key) || { value: value[key] }; if (desc.get) { if (desc.set) { str = ctx.stylize('[Getter/Setter]', 'special'); } else { str = ctx.stylize('[Getter]', 'special'); } } else { if (desc.set) { str = ctx.stylize('[Setter]', 'special'); } } if (!hasOwnProperty(visibleKeys, key)) { name = '[' + key + ']'; } if (!str) { if (ctx.seen.indexOf(desc.value) < 0) { if (isNull(recurseTimes)) { str = formatValue(ctx, desc.value, null); } else { str = formatValue(ctx, desc.value, recurseTimes - 1); } if (str.indexOf('\n') > -1) { if (array) { str = str.split('\n').map(function(line) { return ' ' + line; }).join('\n').substr(2); } else { str = '\n' + str.split('\n').map(function(line) { return ' ' + line; }).join('\n'); } } } else { str = ctx.stylize('[Circular]', 'special'); } } if (isUndefined(name)) { if (array && key.match(/^\d+$/)) { return str; } name = JSON.stringify('' + key); if (name.match(/^"([a-zA-Z_][a-zA-Z_0-9]*)"$/)) { name = name.substr(1, name.length - 2); name = ctx.stylize(name, 'name'); } else { name = name.replace(/'/g, "\\'") .replace(/\\"/g, '"') .replace(/(^"|"$)/g, "'"); name = ctx.stylize(name, 'string'); } }
return name + ': ' + str; }
function reduceToSingleString(output, base, braces) { var numLinesEst = 0; var length = output.reduce(function(prev, cur) { numLinesEst++; if (cur.indexOf('\n') >= 0) numLinesEst++; return prev + cur.replace(/\u001b\[\d\d?m/g, '').length + 1; }, 0);
if (length > 60) { return braces[0] + (base === '' ? '' : base + '\n ') + ' ' + output.join(',\n ') + ' ' + braces[1]; }
return braces[0] + base + ' ' + output.join(', ') + ' ' + braces[1]; }
// NOTE: These type checking functions intentionally don't use `instanceof`
// because it is fragile and can be easily faked with `Object.create()`.
function isArray(ar) { return Array.isArray(ar); } exports.isArray = isArray;
function isBoolean(arg) { return typeof arg === 'boolean'; } exports.isBoolean = isBoolean;
function isNull(arg) { return arg === null; } exports.isNull = isNull;
function isNullOrUndefined(arg) { return arg == null; } exports.isNullOrUndefined = isNullOrUndefined;
function isNumber(arg) { return typeof arg === 'number'; } exports.isNumber = isNumber;
function isString(arg) { return typeof arg === 'string'; } exports.isString = isString;
function isSymbol(arg) { return typeof arg === 'symbol'; } exports.isSymbol = isSymbol;
function isUndefined(arg) { return arg === void 0; } exports.isUndefined = isUndefined;
function isRegExp(re) { return isObject(re) && objectToString(re) === '[object RegExp]'; } exports.isRegExp = isRegExp;
function isObject(arg) { return typeof arg === 'object' && arg !== null; } exports.isObject = isObject;
function isDate(d) { return isObject(d) && objectToString(d) === '[object Date]'; } exports.isDate = isDate;
function isError(e) { return isObject(e) && (objectToString(e) === '[object Error]' || e instanceof Error); } exports.isError = isError;
function isFunction(arg) { return typeof arg === 'function'; } exports.isFunction = isFunction;
function isPrimitive(arg) { return arg === null || typeof arg === 'boolean' || typeof arg === 'number' || typeof arg === 'string' || typeof arg === 'symbol' || // ES6 symbol
typeof arg === 'undefined'; } exports.isPrimitive = isPrimitive;
exports.isBuffer = require('./support/isBuffer');
function objectToString(o) { return Object.prototype.toString.call(o); }
function pad(n) { return n < 10 ? '0' + n.toString(10) : n.toString(10); }
var months = ['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec'];
// 26 Feb 16:19:34
function timestamp() { var d = new Date(); var time = [pad(d.getHours()), pad(d.getMinutes()), pad(d.getSeconds())].join(':'); return [d.getDate(), months[d.getMonth()], time].join(' '); }
// log is just a thin wrapper to console.log that prepends a timestamp
exports.log = function() { console.log('%s - %s', timestamp(), exports.format.apply(exports, arguments)); };
/** * Inherit the prototype methods from one constructor into another. * * The Function.prototype.inherits from lang.js rewritten as a standalone * function (not on Function.prototype). NOTE: If this file is to be loaded * during bootstrapping this function needs to be rewritten using some native * functions as prototype setup using normal JavaScript does not work as * expected during bootstrapping (see mirror.js in r114903). * * @param {function} ctor Constructor function which needs to inherit the * prototype. * @param {function} superCtor Constructor function to inherit prototype from. */ exports.inherits = require('inherits');
exports._extend = function(origin, add) { // Don't do anything if add isn't an object
if (!add || !isObject(add)) return origin;
var keys = Object.keys(add); var i = keys.length; while (i--) { origin[keys[i]] = add[keys[i]]; } return origin; };
function hasOwnProperty(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); }
}).call(this,require('_process'),typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {}) },{"./support/isBuffer":26,"_process":28,"inherits":25}],28:[function(require,module,exports){ // shim for using process in browser
var process = module.exports = {};
// cached from whatever global is present so that test runners that stub it
// don't break things. But we need to wrap it in a try catch in case it is
// wrapped in strict mode code which doesn't define any globals. It's inside a
// function because try/catches deoptimize in certain engines.
var cachedSetTimeout; var cachedClearTimeout;
function defaultSetTimout() { throw new Error('setTimeout has not been defined'); } function defaultClearTimeout () { throw new Error('clearTimeout has not been defined'); } (function () { try { if (typeof setTimeout === 'function') { cachedSetTimeout = setTimeout; } else { cachedSetTimeout = defaultSetTimout; } } catch (e) { cachedSetTimeout = defaultSetTimout; } try { if (typeof clearTimeout === 'function') { cachedClearTimeout = clearTimeout; } else { cachedClearTimeout = defaultClearTimeout; } } catch (e) { cachedClearTimeout = defaultClearTimeout; } } ()) function runTimeout(fun) { if (cachedSetTimeout === setTimeout) { //normal enviroments in sane situations
return setTimeout(fun, 0); } // if setTimeout wasn't available but was latter defined
if ((cachedSetTimeout === defaultSetTimout || !cachedSetTimeout) && setTimeout) { cachedSetTimeout = setTimeout; return setTimeout(fun, 0); } try { // when when somebody has screwed with setTimeout but no I.E. maddness
return cachedSetTimeout(fun, 0); } catch(e){ try { // When we are in I.E. but the script has been evaled so I.E. doesn't trust the global object when called normally
return cachedSetTimeout.call(null, fun, 0); } catch(e){ // same as above but when it's a version of I.E. that must have the global object for 'this', hopfully our context correct otherwise it will throw a global error
return cachedSetTimeout.call(this, fun, 0); } }
} function runClearTimeout(marker) { if (cachedClearTimeout === clearTimeout) { //normal enviroments in sane situations
return clearTimeout(marker); } // if clearTimeout wasn't available but was latter defined
if ((cachedClearTimeout === defaultClearTimeout || !cachedClearTimeout) && clearTimeout) { cachedClearTimeout = clearTimeout; return clearTimeout(marker); } try { // when when somebody has screwed with setTimeout but no I.E. maddness
return cachedClearTimeout(marker); } catch (e){ try { // When we are in I.E. but the script has been evaled so I.E. doesn't trust the global object when called normally
return cachedClearTimeout.call(null, marker); } catch (e){ // same as above but when it's a version of I.E. that must have the global object for 'this', hopfully our context correct otherwise it will throw a global error.
// Some versions of I.E. have different rules for clearTimeout vs setTimeout
return cachedClearTimeout.call(this, marker); } }
} var queue = []; var draining = false; var currentQueue; var queueIndex = -1;
function cleanUpNextTick() { if (!draining || !currentQueue) { return; } draining = false; if (currentQueue.length) { queue = currentQueue.concat(queue); } else { queueIndex = -1; } if (queue.length) { drainQueue(); } }
function drainQueue() { if (draining) { return; } var timeout = runTimeout(cleanUpNextTick); draining = true;
var len = queue.length; while(len) { currentQueue = queue; queue = []; while (++queueIndex < len) { if (currentQueue) { currentQueue[queueIndex].run(); } } queueIndex = -1; len = queue.length; } currentQueue = null; draining = false; runClearTimeout(timeout); }
process.nextTick = function (fun) { var args = new Array(arguments.length - 1); if (arguments.length > 1) { for (var i = 1; i < arguments.length; i++) { args[i - 1] = arguments[i]; } } queue.push(new Item(fun, args)); if (queue.length === 1 && !draining) { runTimeout(drainQueue); } };
// v8 likes predictible objects
function Item(fun, array) { this.fun = fun; this.array = array; } Item.prototype.run = function () { this.fun.apply(null, this.array); }; process.title = 'browser'; process.browser = true; process.env = {}; process.argv = []; process.version = ''; // empty string to avoid regexp issues
process.versions = {};
function noop() {}
process.on = noop; process.addListener = noop; process.once = noop; process.off = noop; process.removeListener = noop; process.removeAllListeners = noop; process.emit = noop; process.prependListener = noop; process.prependOnceListener = noop;
process.listeners = function (name) { return [] }
process.binding = function (name) { throw new Error('process.binding is not supported'); };
process.cwd = function () { return '/' }; process.chdir = function (dir) { throw new Error('process.chdir is not supported'); }; process.umask = function() { return 0; };
},{}]},{},[23]);
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