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+// Copyright (c) 2013-2014, Jeffrey Wilcke. All rights reserved.
+//
+// This library is free software; you can redistribute it and/or
+// modify it under the terms of the GNU General Public
+// License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+// General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with this library; if not, write to the Free Software
+// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
+// MA 02110-1301 USA
+
+var bigInt = (function () {
+ var base = 10000000, logBase = 7;
+ var sign = {
+ positive: false,
+ negative: true
+ };
+
+ var normalize = function (first, second) {
+ var a = first.value, b = second.value;
+ var length = a.length > b.length ? a.length : b.length;
+ for (var i = 0; i < length; i++) {
+ a[i] = a[i] || 0;
+ b[i] = b[i] || 0;
+ }
+ for (var i = length - 1; i >= 0; i--) {
+ if (a[i] === 0 && b[i] === 0) {
+ a.pop();
+ b.pop();
+ } else break;
+ }
+ if (!a.length) a = [0], b = [0];
+ first.value = a;
+ second.value = b;
+ };
+
+ var parse = function (text, first) {
+ if (typeof text === "object") return text;
+ text += "";
+ var s = sign.positive, value = [];
+ if (text[0] === "-") {
+ s = sign.negative;
+ text = text.slice(1);
+ }
+ var base = 10;
+ if (text.slice(0, 2) == "0x") {
+ base = 16;
+ text = text.slice(2);
+ }
+ else {
+ var texts = text.split("e");
+ if (texts.length > 2) throw new Error("Invalid integer");
+ if (texts[1]) {
+ var exp = texts[1];
+ if (exp[0] === "+") exp = exp.slice(1);
+ exp = parse(exp);
+ if (exp.lesser(0)) throw new Error("Cannot include negative exponent part for integers");
+ while (exp.notEquals(0)) {
+ texts[0] += "0";
+ exp = exp.prev();
+ }
+ }
+ text = texts[0];
+ }
+ if (text === "-0") text = "0";
+ text = text.toUpperCase();
+ var isValid = (base == 16 ? /^[0-9A-F]*$/ : /^[0-9]+$/).test(text);
+ if (!isValid) throw new Error("Invalid integer");
+ if (base == 16) {
+ var val = bigInt(0);
+ while (text.length) {
+ v = text.charCodeAt(0) - 48;
+ if (v > 9)
+ v -= 7;
+ text = text.slice(1);
+ val = val.times(16).plus(v);
+ }
+ return val;
+ }
+ else {
+ while (text.length) {
+ var divider = text.length > logBase ? text.length - logBase : 0;
+ value.push(+text.slice(divider));
+ text = text.slice(0, divider);
+ }
+ var val = bigInt(value, s);
+ if (first) normalize(first, val);
+ return val;
+ }
+ };
+
+ var goesInto = function (a, b) {
+ var a = bigInt(a, sign.positive), b = bigInt(b, sign.positive);
+ if (a.equals(0)) throw new Error("Cannot divide by 0");
+ var n = 0;
+ do {
+ var inc = 1;
+ var c = bigInt(a.value, sign.positive), t = c.times(10);
+ while (t.lesser(b)) {
+ c = t;
+ inc *= 10;
+ t = t.times(10);
+ }
+ while (c.lesserOrEquals(b)) {
+ b = b.minus(c);
+ n += inc;
+ }
+ } while (a.lesserOrEquals(b));
+
+ return {
+ remainder: b.value,
+ result: n
+ };
+ };
+
+ var bigInt = function (value, s) {
+ var self = {
+ value: value,
+ sign: s
+ };
+ var o = {
+ value: value,
+ sign: s,
+ negate: function (m) {
+ var first = m || self;
+ return bigInt(first.value, !first.sign);
+ },
+ abs: function (m) {
+ var first = m || self;
+ return bigInt(first.value, sign.positive);
+ },
+ add: function (n, m) {
+ var s, first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m));
+ else second = parse(n, first);
+ s = first.sign;
+ if (first.sign !== second.sign) {
+ first = bigInt(first.value, sign.positive);
+ second = bigInt(second.value, sign.positive);
+ return s === sign.positive ?
+ o.subtract(first, second) :
+ o.subtract(second, first);
+ }
+ normalize(first, second);
+ var a = first.value, b = second.value;
+ var result = [],
+ carry = 0;
+ for (var i = 0; i < a.length || carry > 0; i++) {
+ var sum = (a[i] || 0) + (b[i] || 0) + carry;
+ carry = sum >= base ? 1 : 0;
+ sum -= carry * base;
+ result.push(sum);
+ }
+ return bigInt(result, s);
+ },
+ plus: function (n, m) {
+ return o.add(n, m);
+ },
+ subtract: function (n, m) {
+ var first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m));
+ else second = parse(n, first);
+ if (first.sign !== second.sign) return o.add(first, o.negate(second));
+ if (first.sign === sign.negative) return o.subtract(o.negate(second), o.negate(first));
+ if (o.compare(first, second) === -1) return o.negate(o.subtract(second, first));
+ var a = first.value, b = second.value;
+ var result = [],
+ borrow = 0;
+ for (var i = 0; i < a.length; i++) {
+ var tmp = a[i] - borrow;
+ borrow = tmp < b[i] ? 1 : 0;
+ var minuend = (borrow * base) + tmp - b[i];
+ result.push(minuend);
+ }
+ return bigInt(result, sign.positive);
+ },
+ minus: function (n, m) {
+ return o.subtract(n, m);
+ },
+ multiply: function (n, m) {
+ var s, first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m));
+ else second = parse(n, first);
+ s = first.sign !== second.sign;
+ var a = first.value, b = second.value;
+ var resultSum = [];
+ for (var i = 0; i < a.length; i++) {
+ resultSum[i] = [];
+ var j = i;
+ while (j--) {
+ resultSum[i].push(0);
+ }
+ }
+ var carry = 0;
+ for (var i = 0; i < a.length; i++) {
+ var x = a[i];
+ for (var j = 0; j < b.length || carry > 0; j++) {
+ var y = b[j];
+ var product = y ? (x * y) + carry : carry;
+ carry = product > base ? Math.floor(product / base) : 0;
+ product -= carry * base;
+ resultSum[i].push(product);
+ }
+ }
+ var max = -1;
+ for (var i = 0; i < resultSum.length; i++) {
+ var len = resultSum[i].length;
+ if (len > max) max = len;
+ }
+ var result = [], carry = 0;
+ for (var i = 0; i < max || carry > 0; i++) {
+ var sum = carry;
+ for (var j = 0; j < resultSum.length; j++) {
+ sum += resultSum[j][i] || 0;
+ }
+ carry = sum > base ? Math.floor(sum / base) : 0;
+ sum -= carry * base;
+ result.push(sum);
+ }
+ return bigInt(result, s);
+ },
+ times: function (n, m) {
+ return o.multiply(n, m);
+ },
+ divmod: function (n, m) {
+ var s, first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m));
+ else second = parse(n, first);
+ s = first.sign !== second.sign;
+ if (bigInt(first.value, first.sign).equals(0)) return {
+ quotient: bigInt([0], sign.positive),
+ remainder: bigInt([0], sign.positive)
+ };
+ if (second.equals(0)) throw new Error("Cannot divide by zero");
+ var a = first.value, b = second.value;
+ var result = [], remainder = [];
+ for (var i = a.length - 1; i >= 0; i--) {
+ var n = [a[i]].concat(remainder);
+ var quotient = goesInto(b, n);
+ result.push(quotient.result);
+ remainder = quotient.remainder;
+ }
+ result.reverse();
+ return {
+ quotient: bigInt(result, s),
+ remainder: bigInt(remainder, first.sign)
+ };
+ },
+ divide: function (n, m) {
+ return o.divmod(n, m).quotient;
+ },
+ over: function (n, m) {
+ return o.divide(n, m);
+ },
+ mod: function (n, m) {
+ return o.divmod(n, m).remainder;
+ },
+ pow: function (n, m) {
+ var first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m));
+ else second = parse(n, first);
+ var a = first, b = second;
+ if (b.lesser(0)) return ZERO;
+ if (b.equals(0)) return ONE;
+ var result = bigInt(a.value, a.sign);
+
+ if (b.mod(2).equals(0)) {
+ var c = result.pow(b.over(2));
+ return c.times(c);
+ } else {
+ return result.times(result.pow(b.minus(1)));
+ }
+ },
+ next: function (m) {
+ var first = m || self;
+ return o.add(first, 1);
+ },
+ prev: function (m) {
+ var first = m || self;
+ return o.subtract(first, 1);
+ },
+ compare: function (n, m) {
+ var first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m, first));
+ else second = parse(n, first);
+ normalize(first, second);
+ if (first.value.length === 1 && second.value.length === 1 && first.value[0] === 0 && second.value[0] === 0) return 0;
+ if (second.sign !== first.sign) return first.sign === sign.positive ? 1 : -1;
+ var multiplier = first.sign === sign.positive ? 1 : -1;
+ var a = first.value, b = second.value;
+ for (var i = a.length - 1; i >= 0; i--) {
+ if (a[i] > b[i]) return 1 * multiplier;
+ if (b[i] > a[i]) return -1 * multiplier;
+ }
+ return 0;
+ },
+ compareAbs: function (n, m) {
+ var first = self, second;
+ if (m) (first = parse(n)) && (second = parse(m, first));
+ else second = parse(n, first);
+ first.sign = second.sign = sign.positive;
+ return o.compare(first, second);
+ },
+ equals: function (n, m) {
+ return o.compare(n, m) === 0;
+ },
+ notEquals: function (n, m) {
+ return !o.equals(n, m);
+ },
+ lesser: function (n, m) {
+ return o.compare(n, m) < 0;
+ },
+ greater: function (n, m) {
+ return o.compare(n, m) > 0;
+ },
+ greaterOrEquals: function (n, m) {
+ return o.compare(n, m) >= 0;
+ },
+ lesserOrEquals: function (n, m) {
+ return o.compare(n, m) <= 0;
+ },
+ isPositive: function (m) {
+ var first = m || self;
+ return first.sign === sign.positive;
+ },
+ isNegative: function (m) {
+ var first = m || self;
+ return first.sign === sign.negative;
+ },
+ isEven: function (m) {
+ var first = m || self;
+ return first.value[0] % 2 === 0;
+ },
+ isOdd: function (m) {
+ var first = m || self;
+ return first.value[0] % 2 === 1;
+ },
+ toString: function (m) {
+ var first = m || self;
+ var str = "", len = first.value.length;
+ while (len--) {
+ if (first.value[len].toString().length === 8) str += first.value[len];
+ else str += (base.toString() + first.value[len]).slice(-logBase);
+ }
+ while (str[0] === "0") {
+ str = str.slice(1);
+ }
+ if (!str.length) str = "0";
+ var s = (first.sign === sign.positive || str == "0") ? "" : "-";
+ return s + str;
+ },
+ toHex: function (m) {
+ var first = m || self;
+ var str = "";
+ var l = this.abs();
+ while (l > 0) {
+ var qr = l.divmod(256);
+ var b = qr.remainder.toJSNumber();
+ str = (b >> 4).toString(16) + (b & 15).toString(16) + str;
+ l = qr.quotient;
+ }
+ return (this.isNegative() ? "-" : "") + "0x" + str;
+ },
+ toJSNumber: function (m) {
+ return +o.toString(m);
+ },
+ valueOf: function (m) {
+ return o.toJSNumber(m);
+ }
+ };
+ return o;
+ };
+
+ var ZERO = bigInt([0], sign.positive);
+ var ONE = bigInt([1], sign.positive);
+ var MINUS_ONE = bigInt([1], sign.negative);
+
+ var fnReturn = function (a) {
+ if (typeof a === "undefined") return ZERO;
+ return parse(a);
+ };
+ fnReturn.zero = ZERO;
+ fnReturn.one = ONE;
+ fnReturn.minusOne = MINUS_ONE;
+ return fnReturn;
+})();
+
+if (typeof module !== "undefined") {
+ module.exports = bigInt;
+}
+