8126 lines
248 KiB
JavaScript
8126 lines
248 KiB
JavaScript
(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){
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module.exports.buildF1 = require("./src/f1.js");
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module.exports.buildBn128 = require("./src/bn128.js");
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module.exports.buildGroth16 = require("./src/groth16.js");
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},{"./src/bn128.js":3,"./src/f1.js":15,"./src/groth16.js":16}],2:[function(require,module,exports){
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var bigInt = (function (undefined) {
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"use strict";
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var BASE = 1e7,
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LOG_BASE = 7,
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MAX_INT = 9007199254740992,
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MAX_INT_ARR = smallToArray(MAX_INT),
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DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
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var supportsNativeBigInt = typeof BigInt === "function";
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function Integer(v, radix, alphabet, caseSensitive) {
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if (typeof v === "undefined") return Integer[0];
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if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive);
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return parseValue(v);
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}
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function BigInteger(value, sign) {
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this.value = value;
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this.sign = sign;
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this.isSmall = false;
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}
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BigInteger.prototype = Object.create(Integer.prototype);
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function SmallInteger(value) {
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this.value = value;
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this.sign = value < 0;
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this.isSmall = true;
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}
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SmallInteger.prototype = Object.create(Integer.prototype);
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function NativeBigInt(value) {
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this.value = value;
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}
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NativeBigInt.prototype = Object.create(Integer.prototype);
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function isPrecise(n) {
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return -MAX_INT < n && n < MAX_INT;
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}
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function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
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if (n < 1e7)
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return [n];
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if (n < 1e14)
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return [n % 1e7, Math.floor(n / 1e7)];
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return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)];
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}
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function arrayToSmall(arr) { // If BASE changes this function may need to change
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trim(arr);
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var length = arr.length;
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if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) {
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switch (length) {
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case 0: return 0;
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case 1: return arr[0];
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case 2: return arr[0] + arr[1] * BASE;
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default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE;
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}
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}
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return arr;
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}
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function trim(v) {
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var i = v.length;
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while (v[--i] === 0);
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v.length = i + 1;
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}
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function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
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var x = new Array(length);
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var i = -1;
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while (++i < length) {
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x[i] = 0;
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}
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return x;
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}
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function truncate(n) {
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if (n > 0) return Math.floor(n);
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return Math.ceil(n);
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}
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function add(a, b) { // assumes a and b are arrays with a.length >= b.length
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var l_a = a.length,
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l_b = b.length,
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r = new Array(l_a),
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carry = 0,
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base = BASE,
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sum, i;
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for (i = 0; i < l_b; i++) {
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sum = a[i] + b[i] + carry;
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carry = sum >= base ? 1 : 0;
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r[i] = sum - carry * base;
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}
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while (i < l_a) {
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sum = a[i] + carry;
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carry = sum === base ? 1 : 0;
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r[i++] = sum - carry * base;
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}
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if (carry > 0) r.push(carry);
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return r;
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}
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function addAny(a, b) {
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if (a.length >= b.length) return add(a, b);
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return add(b, a);
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}
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function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
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var l = a.length,
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r = new Array(l),
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base = BASE,
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sum, i;
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for (i = 0; i < l; i++) {
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sum = a[i] - base + carry;
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carry = Math.floor(sum / base);
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r[i] = sum - carry * base;
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carry += 1;
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}
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while (carry > 0) {
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r[i++] = carry % base;
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carry = Math.floor(carry / base);
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}
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return r;
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}
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BigInteger.prototype.add = function (v) {
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var n = parseValue(v);
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if (this.sign !== n.sign) {
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return this.subtract(n.negate());
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}
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var a = this.value, b = n.value;
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if (n.isSmall) {
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return new BigInteger(addSmall(a, Math.abs(b)), this.sign);
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}
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return new BigInteger(addAny(a, b), this.sign);
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};
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BigInteger.prototype.plus = BigInteger.prototype.add;
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SmallInteger.prototype.add = function (v) {
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var n = parseValue(v);
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var a = this.value;
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if (a < 0 !== n.sign) {
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return this.subtract(n.negate());
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}
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var b = n.value;
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if (n.isSmall) {
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if (isPrecise(a + b)) return new SmallInteger(a + b);
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b = smallToArray(Math.abs(b));
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}
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return new BigInteger(addSmall(b, Math.abs(a)), a < 0);
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};
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SmallInteger.prototype.plus = SmallInteger.prototype.add;
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NativeBigInt.prototype.add = function (v) {
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return new NativeBigInt(this.value + parseValue(v).value);
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}
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NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
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function subtract(a, b) { // assumes a and b are arrays with a >= b
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var a_l = a.length,
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b_l = b.length,
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r = new Array(a_l),
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borrow = 0,
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base = BASE,
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i, difference;
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for (i = 0; i < b_l; i++) {
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difference = a[i] - borrow - b[i];
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if (difference < 0) {
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difference += base;
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borrow = 1;
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} else borrow = 0;
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r[i] = difference;
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}
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for (i = b_l; i < a_l; i++) {
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difference = a[i] - borrow;
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if (difference < 0) difference += base;
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else {
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r[i++] = difference;
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break;
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}
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r[i] = difference;
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}
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for (; i < a_l; i++) {
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r[i] = a[i];
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}
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trim(r);
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return r;
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}
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function subtractAny(a, b, sign) {
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var value;
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if (compareAbs(a, b) >= 0) {
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value = subtract(a, b);
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} else {
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value = subtract(b, a);
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sign = !sign;
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}
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value = arrayToSmall(value);
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if (typeof value === "number") {
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if (sign) value = -value;
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return new SmallInteger(value);
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}
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return new BigInteger(value, sign);
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}
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function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
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var l = a.length,
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r = new Array(l),
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carry = -b,
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base = BASE,
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i, difference;
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for (i = 0; i < l; i++) {
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difference = a[i] + carry;
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carry = Math.floor(difference / base);
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difference %= base;
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r[i] = difference < 0 ? difference + base : difference;
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}
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r = arrayToSmall(r);
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if (typeof r === "number") {
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if (sign) r = -r;
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return new SmallInteger(r);
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} return new BigInteger(r, sign);
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}
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BigInteger.prototype.subtract = function (v) {
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var n = parseValue(v);
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if (this.sign !== n.sign) {
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return this.add(n.negate());
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}
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var a = this.value, b = n.value;
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if (n.isSmall)
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return subtractSmall(a, Math.abs(b), this.sign);
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return subtractAny(a, b, this.sign);
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};
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BigInteger.prototype.minus = BigInteger.prototype.subtract;
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SmallInteger.prototype.subtract = function (v) {
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var n = parseValue(v);
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var a = this.value;
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if (a < 0 !== n.sign) {
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return this.add(n.negate());
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}
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var b = n.value;
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if (n.isSmall) {
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return new SmallInteger(a - b);
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}
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return subtractSmall(b, Math.abs(a), a >= 0);
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};
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SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
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NativeBigInt.prototype.subtract = function (v) {
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return new NativeBigInt(this.value - parseValue(v).value);
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}
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NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
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BigInteger.prototype.negate = function () {
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return new BigInteger(this.value, !this.sign);
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};
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SmallInteger.prototype.negate = function () {
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var sign = this.sign;
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var small = new SmallInteger(-this.value);
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small.sign = !sign;
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return small;
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};
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NativeBigInt.prototype.negate = function () {
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return new NativeBigInt(-this.value);
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}
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BigInteger.prototype.abs = function () {
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return new BigInteger(this.value, false);
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};
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SmallInteger.prototype.abs = function () {
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return new SmallInteger(Math.abs(this.value));
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};
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NativeBigInt.prototype.abs = function () {
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return new NativeBigInt(this.value >= 0 ? this.value : -this.value);
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}
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function multiplyLong(a, b) {
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var a_l = a.length,
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b_l = b.length,
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l = a_l + b_l,
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r = createArray(l),
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base = BASE,
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product, carry, i, a_i, b_j;
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for (i = 0; i < a_l; ++i) {
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a_i = a[i];
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for (var j = 0; j < b_l; ++j) {
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b_j = b[j];
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product = a_i * b_j + r[i + j];
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carry = Math.floor(product / base);
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r[i + j] = product - carry * base;
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r[i + j + 1] += carry;
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}
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}
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trim(r);
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return r;
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}
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function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
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var l = a.length,
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r = new Array(l),
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base = BASE,
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carry = 0,
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product, i;
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for (i = 0; i < l; i++) {
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product = a[i] * b + carry;
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carry = Math.floor(product / base);
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r[i] = product - carry * base;
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}
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while (carry > 0) {
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r[i++] = carry % base;
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carry = Math.floor(carry / base);
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}
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return r;
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}
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function shiftLeft(x, n) {
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var r = [];
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while (n-- > 0) r.push(0);
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return r.concat(x);
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}
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function multiplyKaratsuba(x, y) {
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var n = Math.max(x.length, y.length);
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if (n <= 30) return multiplyLong(x, y);
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n = Math.ceil(n / 2);
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var b = x.slice(n),
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a = x.slice(0, n),
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d = y.slice(n),
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c = y.slice(0, n);
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var ac = multiplyKaratsuba(a, c),
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bd = multiplyKaratsuba(b, d),
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abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
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var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n));
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trim(product);
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return product;
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}
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// The following function is derived from a surface fit of a graph plotting the performance difference
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// between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
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function useKaratsuba(l1, l2) {
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return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0;
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}
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BigInteger.prototype.multiply = function (v) {
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var n = parseValue(v),
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a = this.value, b = n.value,
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sign = this.sign !== n.sign,
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abs;
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if (n.isSmall) {
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if (b === 0) return Integer[0];
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if (b === 1) return this;
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if (b === -1) return this.negate();
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abs = Math.abs(b);
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if (abs < BASE) {
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return new BigInteger(multiplySmall(a, abs), sign);
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}
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b = smallToArray(abs);
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}
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if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
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return new BigInteger(multiplyKaratsuba(a, b), sign);
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return new BigInteger(multiplyLong(a, b), sign);
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};
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BigInteger.prototype.times = BigInteger.prototype.multiply;
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function multiplySmallAndArray(a, b, sign) { // a >= 0
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if (a < BASE) {
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return new BigInteger(multiplySmall(b, a), sign);
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}
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return new BigInteger(multiplyLong(b, smallToArray(a)), sign);
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}
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SmallInteger.prototype._multiplyBySmall = function (a) {
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if (isPrecise(a.value * this.value)) {
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return new SmallInteger(a.value * this.value);
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}
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return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign);
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};
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BigInteger.prototype._multiplyBySmall = function (a) {
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if (a.value === 0) return Integer[0];
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if (a.value === 1) return this;
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if (a.value === -1) return this.negate();
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return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign);
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};
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SmallInteger.prototype.multiply = function (v) {
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return parseValue(v)._multiplyBySmall(this);
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};
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SmallInteger.prototype.times = SmallInteger.prototype.multiply;
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NativeBigInt.prototype.multiply = function (v) {
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return new NativeBigInt(this.value * parseValue(v).value);
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}
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NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
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function square(a) {
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//console.assert(2 * BASE * BASE < MAX_INT);
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var l = a.length,
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r = createArray(l + l),
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base = BASE,
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product, carry, i, a_i, a_j;
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for (i = 0; i < l; i++) {
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a_i = a[i];
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carry = 0 - a_i * a_i;
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for (var j = i; j < l; j++) {
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a_j = a[j];
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product = 2 * (a_i * a_j) + r[i + j] + carry;
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carry = Math.floor(product / base);
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r[i + j] = product - carry * base;
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}
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r[i + l] = carry;
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}
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trim(r);
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return r;
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}
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BigInteger.prototype.square = function () {
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return new BigInteger(square(this.value), false);
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};
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|
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SmallInteger.prototype.square = function () {
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var value = this.value * this.value;
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if (isPrecise(value)) return new SmallInteger(value);
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return new BigInteger(square(smallToArray(Math.abs(this.value))), false);
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};
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NativeBigInt.prototype.square = function (v) {
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return new NativeBigInt(this.value * this.value);
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}
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function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
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var a_l = a.length,
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b_l = b.length,
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base = BASE,
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|
result = createArray(b.length),
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|
divisorMostSignificantDigit = b[b_l - 1],
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// normalization
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|
lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)),
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remainder = multiplySmall(a, lambda),
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divisor = multiplySmall(b, lambda),
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quotientDigit, shift, carry, borrow, i, l, q;
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if (remainder.length <= a_l) remainder.push(0);
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divisor.push(0);
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divisorMostSignificantDigit = divisor[b_l - 1];
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for (shift = a_l - b_l; shift >= 0; shift--) {
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quotientDigit = base - 1;
|
|
if (remainder[shift + b_l] !== divisorMostSignificantDigit) {
|
|
quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit);
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}
|
|
// quotientDigit <= base - 1
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carry = 0;
|
|
borrow = 0;
|
|
l = divisor.length;
|
|
for (i = 0; i < l; i++) {
|
|
carry += quotientDigit * divisor[i];
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q = Math.floor(carry / base);
|
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borrow += remainder[shift + i] - (carry - q * base);
|
|
carry = q;
|
|
if (borrow < 0) {
|
|
remainder[shift + i] = borrow + base;
|
|
borrow = -1;
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|
} else {
|
|
remainder[shift + i] = borrow;
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borrow = 0;
|
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}
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|
}
|
|
while (borrow !== 0) {
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|
quotientDigit -= 1;
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|
carry = 0;
|
|
for (i = 0; i < l; i++) {
|
|
carry += remainder[shift + i] - base + divisor[i];
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|
if (carry < 0) {
|
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remainder[shift + i] = carry + base;
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|
carry = 0;
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} 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]);
|