+// 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":31,"_process":12,"inherits":30}],33:[function(require,module,exports){
+module.exports = {
+ base58: require('bs58'),
+ bitcoin: require('bitcoinjs-lib'),
+ ecurve: require('ecurve'),
+ BigInteger: require('bigi')
+}
+
+},{"bigi":37,"bitcoinjs-lib":50,"bs58":79,"ecurve":89}],34:[function(require,module,exports){
+// base-x encoding
+// Forked from https://github.com/cryptocoinjs/bs58
+// Originally written by Mike Hearn for BitcoinJ
+// Copyright (c) 2011 Google Inc
+// Ported to JavaScript by Stefan Thomas
+// Merged Buffer refactorings from base58-native by Stephen Pair
+// Copyright (c) 2013 BitPay Inc
+
+var Buffer = require('safe-buffer').Buffer
+
+module.exports = function base (ALPHABET) {
+ var ALPHABET_MAP = {}
+ var BASE = ALPHABET.length
+ var LEADER = ALPHABET.charAt(0)
+
+ // pre-compute lookup table
+ for (var z = 0; z < ALPHABET.length; z++) {
+ var x = ALPHABET.charAt(z)
+
+ if (ALPHABET_MAP[x] !== undefined) throw new TypeError(x + ' is ambiguous')
+ ALPHABET_MAP[x] = z
+ }
+
+ function encode (source) {
+ if (source.length === 0) return ''
+
+ var digits = [0]
+ for (var i = 0; i < source.length; ++i) {
+ for (var j = 0, carry = source[i]; j < digits.length; ++j) {
+ carry += digits[j] << 8
+ digits[j] = carry % BASE
+ carry = (carry / BASE) | 0
+ }
+
+ while (carry > 0) {
+ digits.push(carry % BASE)
+ carry = (carry / BASE) | 0
+ }
+ }
+
+ var string = ''
+
+ // deal with leading zeros
+ for (var k = 0; source[k] === 0 && k < source.length - 1; ++k) string += ALPHABET[0]
+ // convert digits to a string
+ for (var q = digits.length - 1; q >= 0; --q) string += ALPHABET[digits[q]]
+
+ return string
+ }
+
+ function decodeUnsafe (string) {
+ if (string.length === 0) return Buffer.allocUnsafe(0)
+
+ var bytes = [0]
+ for (var i = 0; i < string.length; i++) {
+ var value = ALPHABET_MAP[string[i]]
+ if (value === undefined) return
+
+ for (var j = 0, carry = value; j < bytes.length; ++j) {
+ carry += bytes[j] * BASE
+ bytes[j] = carry & 0xff
+ carry >>= 8
+ }
+
+ while (carry > 0) {
+ bytes.push(carry & 0xff)
+ carry >>= 8
+ }
+ }
+
+ // deal with leading zeros
+ for (var k = 0; string[k] === LEADER && k < string.length - 1; ++k) {
+ bytes.push(0)
+ }
+
+ return Buffer.from(bytes.reverse())
+ }
+
+ function decode (string) {
+ var buffer = decodeUnsafe(string)
+ if (buffer) return buffer
+
+ throw new Error('Non-base' + BASE + ' character')
+ }
+
+ return {
+ encode: encode,
+ decodeUnsafe: decodeUnsafe,
+ decode: decode
+ }
+}
+
+},{"safe-buffer":98}],35:[function(require,module,exports){
+// (public) Constructor
+function BigInteger(a, b, c) {
+ if (!(this instanceof BigInteger))
+ return new BigInteger(a, b, c)
+
+ if (a != null) {
+ if ("number" == typeof a) this.fromNumber(a, b, c)
+ else if (b == null && "string" != typeof a) this.fromString(a, 256)
+ else this.fromString(a, b)
+ }
+}
+
+var proto = BigInteger.prototype
+
+// duck-typed isBigInteger
+proto.__bigi = require('../package.json').version
+BigInteger.isBigInteger = function (obj, check_ver) {
+ return obj && obj.__bigi && (!check_ver || obj.__bigi === proto.__bigi)
+}
+
+// Bits per digit
+var dbits
+
+// am: Compute w_j += (x*this_i), propagate carries,
+// c is initial carry, returns final carry.
+// c < 3*dvalue, x < 2*dvalue, this_i < dvalue
+// We need to select the fastest one that works in this environment.
+
+// am1: use a single mult and divide to get the high bits,
+// max digit bits should be 26 because
+// max internal value = 2*dvalue^2-2*dvalue (< 2^53)
+function am1(i, x, w, j, c, n) {
+ while (--n >= 0) {
+ var v = x * this[i++] + w[j] + c
+ c = Math.floor(v / 0x4000000)
+ w[j++] = v & 0x3ffffff
+ }
+ return c
+}
+// am2 avoids a big mult-and-extract completely.
+// Max digit bits should be <= 30 because we do bitwise ops
+// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31)
+function am2(i, x, w, j, c, n) {
+ var xl = x & 0x7fff,
+ xh = x >> 15
+ while (--n >= 0) {
+ var l = this[i] & 0x7fff
+ var h = this[i++] >> 15
+ var m = xh * l + h * xl
+ l = xl * l + ((m & 0x7fff) << 15) + w[j] + (c & 0x3fffffff)
+ c = (l >>> 30) + (m >>> 15) + xh * h + (c >>> 30)
+ w[j++] = l & 0x3fffffff
+ }
+ return c
+}
+// Alternately, set max digit bits to 28 since some
+// browsers slow down when dealing with 32-bit numbers.
+function am3(i, x, w, j, c, n) {
+ var xl = x & 0x3fff,
+ xh = x >> 14
+ while (--n >= 0) {
+ var l = this[i] & 0x3fff
+ var h = this[i++] >> 14
+ var m = xh * l + h * xl
+ l = xl * l + ((m & 0x3fff) << 14) + w[j] + c
+ c = (l >> 28) + (m >> 14) + xh * h
+ w[j++] = l & 0xfffffff
+ }
+ return c
+}
+
+// wtf?
+BigInteger.prototype.am = am1
+dbits = 26
+
+BigInteger.prototype.DB = dbits
+BigInteger.prototype.DM = ((1 << dbits) - 1)
+var DV = BigInteger.prototype.DV = (1 << dbits)
+
+var BI_FP = 52
+BigInteger.prototype.FV = Math.pow(2, BI_FP)
+BigInteger.prototype.F1 = BI_FP - dbits
+BigInteger.prototype.F2 = 2 * dbits - BI_FP
+
+// Digit conversions
+var BI_RM = "0123456789abcdefghijklmnopqrstuvwxyz"
+var BI_RC = new Array()
+var rr, vv
+rr = "0".charCodeAt(0)
+for (vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv
+rr = "a".charCodeAt(0)
+for (vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv
+rr = "A".charCodeAt(0)
+for (vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv
+
+function int2char(n) {
+ return BI_RM.charAt(n)
+}
+
+function intAt(s, i) {
+ var c = BI_RC[s.charCodeAt(i)]
+ return (c == null) ? -1 : c
+}
+
+// (protected) copy this to r
+function bnpCopyTo(r) {
+ for (var i = this.t - 1; i >= 0; --i) r[i] = this[i]
+ r.t = this.t
+ r.s = this.s
+}
+
+// (protected) set from integer value x, -DV <= x < DV
+function bnpFromInt(x) {
+ this.t = 1
+ this.s = (x < 0) ? -1 : 0
+ if (x > 0) this[0] = x
+ else if (x < -1) this[0] = x + DV
+ else this.t = 0
+}
+
+// return bigint initialized to value
+function nbv(i) {
+ var r = new BigInteger()
+ r.fromInt(i)
+ return r
+}
+
+// (protected) set from string and radix
+function bnpFromString(s, b) {
+ var self = this
+
+ var k
+ if (b == 16) k = 4
+ else if (b == 8) k = 3
+ else if (b == 256) k = 8; // byte array
+ else if (b == 2) k = 1
+ else if (b == 32) k = 5
+ else if (b == 4) k = 2
+ else {
+ self.fromRadix(s, b)
+ return
+ }
+ self.t = 0
+ self.s = 0
+ var i = s.length,
+ mi = false,
+ sh = 0
+ while (--i >= 0) {
+ var x = (k == 8) ? s[i] & 0xff : intAt(s, i)
+ if (x < 0) {
+ if (s.charAt(i) == "-") mi = true
+ continue
+ }
+ mi = false
+ if (sh == 0)
+ self[self.t++] = x
+ else if (sh + k > self.DB) {
+ self[self.t - 1] |= (x & ((1 << (self.DB - sh)) - 1)) << sh
+ self[self.t++] = (x >> (self.DB - sh))
+ } else
+ self[self.t - 1] |= x << sh
+ sh += k
+ if (sh >= self.DB) sh -= self.DB
+ }
+ if (k == 8 && (s[0] & 0x80) != 0) {
+ self.s = -1
+ if (sh > 0) self[self.t - 1] |= ((1 << (self.DB - sh)) - 1) << sh
+ }
+ self.clamp()
+ if (mi) BigInteger.ZERO.subTo(self, self)
+}
+
+// (protected) clamp off excess high words
+function bnpClamp() {
+ var c = this.s & this.DM
+ while (this.t > 0 && this[this.t - 1] == c)--this.t
+}
+
+// (public) return string representation in given radix
+function bnToString(b) {
+ var self = this
+ if (self.s < 0) return "-" + self.negate()
+ .toString(b)
+ var k
+ if (b == 16) k = 4
+ else if (b == 8) k = 3
+ else if (b == 2) k = 1
+ else if (b == 32) k = 5
+ else if (b == 4) k = 2
+ else return self.toRadix(b)
+ var km = (1 << k) - 1,
+ d, m = false,
+ r = "",
+ i = self.t
+ var p = self.DB - (i * self.DB) % k
+ if (i-- > 0) {
+ if (p < self.DB && (d = self[i] >> p) > 0) {
+ m = true
+ r = int2char(d)
+ }
+ while (i >= 0) {
+ if (p < k) {
+ d = (self[i] & ((1 << p) - 1)) << (k - p)
+ d |= self[--i] >> (p += self.DB - k)
+ } else {
+ d = (self[i] >> (p -= k)) & km
+ if (p <= 0) {
+ p += self.DB
+ --i
+ }
+ }
+ if (d > 0) m = true
+ if (m) r += int2char(d)
+ }
+ }
+ return m ? r : "0"
+}
+
+// (public) -this
+function bnNegate() {
+ var r = new BigInteger()
+ BigInteger.ZERO.subTo(this, r)
+ return r
+}
+
+// (public) |this|
+function bnAbs() {
+ return (this.s < 0) ? this.negate() : this
+}
+
+// (public) return + if this > a, - if this < a, 0 if equal
+function bnCompareTo(a) {
+ var r = this.s - a.s
+ if (r != 0) return r
+ var i = this.t
+ r = i - a.t
+ if (r != 0) return (this.s < 0) ? -r : r
+ while (--i >= 0)
+ if ((r = this[i] - a[i]) != 0) return r
+ return 0
+}
+
+// returns bit length of the integer x
+function nbits(x) {
+ var r = 1,
+ t
+ if ((t = x >>> 16) != 0) {
+ x = t
+ r += 16
+ }
+ if ((t = x >> 8) != 0) {
+ x = t
+ r += 8
+ }
+ if ((t = x >> 4) != 0) {
+ x = t
+ r += 4
+ }
+ if ((t = x >> 2) != 0) {
+ x = t
+ r += 2
+ }
+ if ((t = x >> 1) != 0) {
+ x = t
+ r += 1
+ }
+ return r
+}
+
+// (public) return the number of bits in "this"
+function bnBitLength() {
+ if (this.t <= 0) return 0
+ return this.DB * (this.t - 1) + nbits(this[this.t - 1] ^ (this.s & this.DM))
+}
+
+// (public) return the number of bytes in "this"
+function bnByteLength() {
+ return this.bitLength() >> 3
+}
+
+// (protected) r = this << n*DB
+function bnpDLShiftTo(n, r) {
+ var i
+ for (i = this.t - 1; i >= 0; --i) r[i + n] = this[i]
+ for (i = n - 1; i >= 0; --i) r[i] = 0
+ r.t = this.t + n
+ r.s = this.s
+}
+
+// (protected) r = this >> n*DB
+function bnpDRShiftTo(n, r) {
+ for (var i = n; i < this.t; ++i) r[i - n] = this[i]
+ r.t = Math.max(this.t - n, 0)
+ r.s = this.s
+}
+
+// (protected) r = this << n
+function bnpLShiftTo(n, r) {
+ var self = this
+ var bs = n % self.DB
+ var cbs = self.DB - bs
+ var bm = (1 << cbs) - 1
+ var ds = Math.floor(n / self.DB),
+ c = (self.s << bs) & self.DM,
+ i
+ for (i = self.t - 1; i >= 0; --i) {
+ r[i + ds + 1] = (self[i] >> cbs) | c
+ c = (self[i] & bm) << bs
+ }
+ for (i = ds - 1; i >= 0; --i) r[i] = 0
+ r[ds] = c
+ r.t = self.t + ds + 1
+ r.s = self.s
+ r.clamp()
+}
+
+// (protected) r = this >> n
+function bnpRShiftTo(n, r) {
+ var self = this
+ r.s = self.s
+ var ds = Math.floor(n / self.DB)
+ if (ds >= self.t) {
+ r.t = 0
+ return
+ }
+ var bs = n % self.DB
+ var cbs = self.DB - bs
+ var bm = (1 << bs) - 1
+ r[0] = self[ds] >> bs
+ for (var i = ds + 1; i < self.t; ++i) {
+ r[i - ds - 1] |= (self[i] & bm) << cbs
+ r[i - ds] = self[i] >> bs
+ }
+ if (bs > 0) r[self.t - ds - 1] |= (self.s & bm) << cbs
+ r.t = self.t - ds
+ r.clamp()
+}
+
+// (protected) r = this - a
+function bnpSubTo(a, r) {
+ var self = this
+ var i = 0,
+ c = 0,
+ m = Math.min(a.t, self.t)
+ while (i < m) {
+ c += self[i] - a[i]
+ r[i++] = c & self.DM
+ c >>= self.DB
+ }
+ if (a.t < self.t) {
+ c -= a.s
+ while (i < self.t) {
+ c += self[i]
+ r[i++] = c & self.DM
+ c >>= self.DB
+ }
+ c += self.s
+ } else {
+ c += self.s
+ while (i < a.t) {
+ c -= a[i]
+ r[i++] = c & self.DM
+ c >>= self.DB
+ }
+ c -= a.s
+ }
+ r.s = (c < 0) ? -1 : 0
+ if (c < -1) r[i++] = self.DV + c
+ else if (c > 0) r[i++] = c
+ r.t = i
+ r.clamp()
+}
+
+// (protected) r = this * a, r != this,a (HAC 14.12)
+// "this" should be the larger one if appropriate.
+function bnpMultiplyTo(a, r) {
+ var x = this.abs(),
+ y = a.abs()
+ var i = x.t
+ r.t = i + y.t
+ while (--i >= 0) r[i] = 0
+ for (i = 0; i < y.t; ++i) r[i + x.t] = x.am(0, y[i], r, i, 0, x.t)
+ r.s = 0
+ r.clamp()
+ if (this.s != a.s) BigInteger.ZERO.subTo(r, r)
+}
+
+// (protected) r = this^2, r != this (HAC 14.16)
+function bnpSquareTo(r) {
+ var x = this.abs()
+ var i = r.t = 2 * x.t
+ while (--i >= 0) r[i] = 0
+ for (i = 0; i < x.t - 1; ++i) {
+ var c = x.am(i, x[i], r, 2 * i, 0, 1)
+ if ((r[i + x.t] += x.am(i + 1, 2 * x[i], r, 2 * i + 1, c, x.t - i - 1)) >= x.DV) {
+ r[i + x.t] -= x.DV
+ r[i + x.t + 1] = 1
+ }
+ }
+ if (r.t > 0) r[r.t - 1] += x.am(i, x[i], r, 2 * i, 0, 1)
+ r.s = 0
+ r.clamp()
+}
+
+// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20)
+// r != q, this != m. q or r may be null.
+function bnpDivRemTo(m, q, r) {
+ var self = this
+ var pm = m.abs()
+ if (pm.t <= 0) return
+ var pt = self.abs()
+ if (pt.t < pm.t) {
+ if (q != null) q.fromInt(0)
+ if (r != null) self.copyTo(r)
+ return
+ }
+ if (r == null) r = new BigInteger()
+ var y = new BigInteger(),
+ ts = self.s,
+ ms = m.s
+ var nsh = self.DB - nbits(pm[pm.t - 1]); // normalize modulus
+ if (nsh > 0) {
+ pm.lShiftTo(nsh, y)
+ pt.lShiftTo(nsh, r)
+ } else {
+ pm.copyTo(y)
+ pt.copyTo(r)
+ }
+ var ys = y.t
+ var y0 = y[ys - 1]
+ if (y0 == 0) return
+ var yt = y0 * (1 << self.F1) + ((ys > 1) ? y[ys - 2] >> self.F2 : 0)
+ var d1 = self.FV / yt,
+ d2 = (1 << self.F1) / yt,
+ e = 1 << self.F2
+ var i = r.t,
+ j = i - ys,
+ t = (q == null) ? new BigInteger() : q
+ y.dlShiftTo(j, t)
+ if (r.compareTo(t) >= 0) {
+ r[r.t++] = 1
+ r.subTo(t, r)
+ }
+ BigInteger.ONE.dlShiftTo(ys, t)
+ t.subTo(y, y); // "negative" y so we can replace sub with am later
+ while (y.t < ys) y[y.t++] = 0
+ while (--j >= 0) {
+ // Estimate quotient digit
+ var qd = (r[--i] == y0) ? self.DM : Math.floor(r[i] * d1 + (r[i - 1] + e) * d2)
+ if ((r[i] += y.am(0, qd, r, j, 0, ys)) < qd) { // Try it out
+ y.dlShiftTo(j, t)
+ r.subTo(t, r)
+ while (r[i] < --qd) r.subTo(t, r)
+ }
+ }
+ if (q != null) {
+ r.drShiftTo(ys, q)
+ if (ts != ms) BigInteger.ZERO.subTo(q, q)
+ }
+ r.t = ys
+ r.clamp()
+ if (nsh > 0) r.rShiftTo(nsh, r); // Denormalize remainder
+ if (ts < 0) BigInteger.ZERO.subTo(r, r)
+}
+
+// (public) this mod a
+function bnMod(a) {
+ var r = new BigInteger()
+ this.abs()
+ .divRemTo(a, null, r)
+ if (this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r, r)
+ return r
+}
+
+// Modular reduction using "classic" algorithm
+function Classic(m) {
+ this.m = m
+}
+
+function cConvert(x) {
+ if (x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m)
+ else return x
+}
+
+function cRevert(x) {
+ return x
+}
+
+function cReduce(x) {
+ x.divRemTo(this.m, null, x)
+}
+
+function cMulTo(x, y, r) {
+ x.multiplyTo(y, r)
+ this.reduce(r)
+}
+
+function cSqrTo(x, r) {
+ x.squareTo(r)
+ this.reduce(r)
+}
+
+Classic.prototype.convert = cConvert
+Classic.prototype.revert = cRevert
+Classic.prototype.reduce = cReduce
+Classic.prototype.mulTo = cMulTo
+Classic.prototype.sqrTo = cSqrTo
+
+// (protected) return "-1/this % 2^DB"; useful for Mont. reduction
+// justification:
+// xy == 1 (mod m)
+// xy = 1+km
+// xy(2-xy) = (1+km)(1-km)
+// x[y(2-xy)] = 1-k^2m^2
+// x[y(2-xy)] == 1 (mod m^2)
+// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2
+// should reduce x and y(2-xy) by m^2 at each step to keep size bounded.
+// JS multiply "overflows" differently from C/C++, so care is needed here.
+function bnpInvDigit() {
+ if (this.t < 1) return 0
+ var x = this[0]
+ if ((x & 1) == 0) return 0
+ var y = x & 3; // y == 1/x mod 2^2
+ y = (y * (2 - (x & 0xf) * y)) & 0xf; // y == 1/x mod 2^4
+ y = (y * (2 - (x & 0xff) * y)) & 0xff; // y == 1/x mod 2^8
+ y = (y * (2 - (((x & 0xffff) * y) & 0xffff))) & 0xffff; // y == 1/x mod 2^16
+ // last step - calculate inverse mod DV directly
+ // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints
+ y = (y * (2 - x * y % this.DV)) % this.DV; // y == 1/x mod 2^dbits
+ // we really want the negative inverse, and -DV < y < DV
+ return (y > 0) ? this.DV - y : -y
+}
+
+// Montgomery reduction
+function Montgomery(m) {
+ this.m = m
+ this.mp = m.invDigit()
+ this.mpl = this.mp & 0x7fff
+ this.mph = this.mp >> 15
+ this.um = (1 << (m.DB - 15)) - 1
+ this.mt2 = 2 * m.t
+}
+
+// xR mod m
+function montConvert(x) {
+ var r = new BigInteger()
+ x.abs()
+ .dlShiftTo(this.m.t, r)
+ r.divRemTo(this.m, null, r)
+ if (x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r, r)
+ return r
+}
+
+// x/R mod m
+function montRevert(x) {
+ var r = new BigInteger()
+ x.copyTo(r)
+ this.reduce(r)
+ return r
+}
+
+// x = x/R mod m (HAC 14.32)
+function montReduce(x) {
+ while (x.t <= this.mt2) // pad x so am has enough room later
+ x[x.t++] = 0
+ for (var i = 0; i < this.m.t; ++i) {
+ // faster way of calculating u0 = x[i]*mp mod DV
+ var j = x[i] & 0x7fff
+ var u0 = (j * this.mpl + (((j * this.mph + (x[i] >> 15) * this.mpl) & this.um) << 15)) & x.DM
+ // use am to combine the multiply-shift-add into one call
+ j = i + this.m.t
+ x[j] += this.m.am(0, u0, x, i, 0, this.m.t)
+ // propagate carry
+ while (x[j] >= x.DV) {
+ x[j] -= x.DV
+ x[++j]++
+ }
+ }
+ x.clamp()
+ x.drShiftTo(this.m.t, x)
+ if (x.compareTo(this.m) >= 0) x.subTo(this.m, x)
+}
+
+// r = "x^2/R mod m"; x != r
+function montSqrTo(x, r) {
+ x.squareTo(r)
+ this.reduce(r)
+}
+
+// r = "xy/R mod m"; x,y != r
+function montMulTo(x, y, r) {
+ x.multiplyTo(y, r)
+ this.reduce(r)
+}
+
+Montgomery.prototype.convert = montConvert
+Montgomery.prototype.revert = montRevert
+Montgomery.prototype.reduce = montReduce
+Montgomery.prototype.mulTo = montMulTo
+Montgomery.prototype.sqrTo = montSqrTo
+
+// (protected) true iff this is even
+function bnpIsEven() {
+ return ((this.t > 0) ? (this[0] & 1) : this.s) == 0
+}
+
+// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79)
+function bnpExp(e, z) {
+ if (e > 0xffffffff || e < 1) return BigInteger.ONE
+ var r = new BigInteger(),
+ r2 = new BigInteger(),
+ g = z.convert(this),
+ i = nbits(e) - 1
+ g.copyTo(r)
+ while (--i >= 0) {
+ z.sqrTo(r, r2)
+ if ((e & (1 << i)) > 0) z.mulTo(r2, g, r)
+ else {
+ var t = r
+ r = r2
+ r2 = t
+ }
+ }
+ return z.revert(r)
+}
+
+// (public) this^e % m, 0 <= e < 2^32
+function bnModPowInt(e, m) {
+ var z
+ if (e < 256 || m.isEven()) z = new Classic(m)
+ else z = new Montgomery(m)
+ return this.exp(e, z)
+}
+
+// protected
+proto.copyTo = bnpCopyTo
+proto.fromInt = bnpFromInt
+proto.fromString = bnpFromString
+proto.clamp = bnpClamp
+proto.dlShiftTo = bnpDLShiftTo
+proto.drShiftTo = bnpDRShiftTo
+proto.lShiftTo = bnpLShiftTo
+proto.rShiftTo = bnpRShiftTo
+proto.subTo = bnpSubTo
+proto.multiplyTo = bnpMultiplyTo
+proto.squareTo = bnpSquareTo
+proto.divRemTo = bnpDivRemTo
+proto.invDigit = bnpInvDigit
+proto.isEven = bnpIsEven
+proto.exp = bnpExp
+
+// public
+proto.toString = bnToString
+proto.negate = bnNegate
+proto.abs = bnAbs
+proto.compareTo = bnCompareTo
+proto.bitLength = bnBitLength
+proto.byteLength = bnByteLength
+proto.mod = bnMod
+proto.modPowInt = bnModPowInt
+
+// (public)
+function bnClone() {
+ var r = new BigInteger()
+ this.copyTo(r)
+ return r
+}
+
+// (public) return value as integer
+function bnIntValue() {
+ if (this.s < 0) {
+ if (this.t == 1) return this[0] - this.DV
+ else if (this.t == 0) return -1
+ } else if (this.t == 1) return this[0]
+ else if (this.t == 0) return 0
+ // assumes 16 < DB < 32
+ return ((this[1] & ((1 << (32 - this.DB)) - 1)) << this.DB) | this[0]
+}
+
+// (public) return value as byte
+function bnByteValue() {
+ return (this.t == 0) ? this.s : (this[0] << 24) >> 24
+}
+
+// (public) return value as short (assumes DB>=16)
+function bnShortValue() {
+ return (this.t == 0) ? this.s : (this[0] << 16) >> 16
+}
+
+// (protected) return x s.t. r^x < DV
+function bnpChunkSize(r) {
+ return Math.floor(Math.LN2 * this.DB / Math.log(r))
+}
+
+// (public) 0 if this == 0, 1 if this > 0
+function bnSigNum() {
+ if (this.s < 0) return -1
+ else if (this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0
+ else return 1
+}
+
+// (protected) convert to radix string
+function bnpToRadix(b) {
+ if (b == null) b = 10
+ if (this.signum() == 0 || b < 2 || b > 36) return "0"
+ var cs = this.chunkSize(b)
+ var a = Math.pow(b, cs)
+ var d = nbv(a),
+ y = new BigInteger(),
+ z = new BigInteger(),
+ r = ""
+ this.divRemTo(d, y, z)
+ while (y.signum() > 0) {
+ r = (a + z.intValue())
+ .toString(b)
+ .substr(1) + r
+ y.divRemTo(d, y, z)
+ }
+ return z.intValue()
+ .toString(b) + r
+}
+
+// (protected) convert from radix string
+function bnpFromRadix(s, b) {
+ var self = this
+ self.fromInt(0)
+ if (b == null) b = 10
+ var cs = self.chunkSize(b)
+ var d = Math.pow(b, cs),
+ mi = false,
+ j = 0,
+ w = 0
+ for (var i = 0; i < s.length; ++i) {
+ var x = intAt(s, i)
+ if (x < 0) {
+ if (s.charAt(i) == "-" && self.signum() == 0) mi = true
+ continue
+ }
+ w = b * w + x
+ if (++j >= cs) {
+ self.dMultiply(d)
+ self.dAddOffset(w, 0)
+ j = 0
+ w = 0
+ }
+ }
+ if (j > 0) {
+ self.dMultiply(Math.pow(b, j))
+ self.dAddOffset(w, 0)
+ }
+ if (mi) BigInteger.ZERO.subTo(self, self)
+}
+
+// (protected) alternate constructor
+function bnpFromNumber(a, b, c) {
+ var self = this
+ if ("number" == typeof b) {
+ // new BigInteger(int,int,RNG)
+ if (a < 2) self.fromInt(1)
+ else {
+ self.fromNumber(a, c)
+ if (!self.testBit(a - 1)) // force MSB set
+ self.bitwiseTo(BigInteger.ONE.shiftLeft(a - 1), op_or, self)
+ if (self.isEven()) self.dAddOffset(1, 0); // force odd
+ while (!self.isProbablePrime(b)) {
+ self.dAddOffset(2, 0)
+ if (self.bitLength() > a) self.subTo(BigInteger.ONE.shiftLeft(a - 1), self)
+ }
+ }
+ } else {
+ // new BigInteger(int,RNG)
+ var x = new Array(),
+ t = a & 7
+ x.length = (a >> 3) + 1
+ b.nextBytes(x)
+ if (t > 0) x[0] &= ((1 << t) - 1)
+ else x[0] = 0
+ self.fromString(x, 256)
+ }
+}
+
+// (public) convert to bigendian byte array
+function bnToByteArray() {
+ var self = this
+ var i = self.t,
+ r = new Array()
+ r[0] = self.s
+ var p = self.DB - (i * self.DB) % 8,
+ d, k = 0
+ if (i-- > 0) {
+ if (p < self.DB && (d = self[i] >> p) != (self.s & self.DM) >> p)
+ r[k++] = d | (self.s << (self.DB - p))
+ while (i >= 0) {
+ if (p < 8) {
+ d = (self[i] & ((1 << p) - 1)) << (8 - p)
+ d |= self[--i] >> (p += self.DB - 8)
+ } else {
+ d = (self[i] >> (p -= 8)) & 0xff
+ if (p <= 0) {
+ p += self.DB
+ --i
+ }
+ }
+ if ((d & 0x80) != 0) d |= -256
+ if (k === 0 && (self.s & 0x80) != (d & 0x80))++k
+ if (k > 0 || d != self.s) r[k++] = d
+ }
+ }
+ return r
+}
+
+function bnEquals(a) {
+ return (this.compareTo(a) == 0)
+}
+
+function bnMin(a) {
+ return (this.compareTo(a) < 0) ? this : a
+}
+
+function bnMax(a) {
+ return (this.compareTo(a) > 0) ? this : a
+}
+
+// (protected) r = this op a (bitwise)
+function bnpBitwiseTo(a, op, r) {
+ var self = this
+ var i, f, m = Math.min(a.t, self.t)
+ for (i = 0; i < m; ++i) r[i] = op(self[i], a[i])
+ if (a.t < self.t) {
+ f = a.s & self.DM
+ for (i = m; i < self.t; ++i) r[i] = op(self[i], f)
+ r.t = self.t
+ } else {
+ f = self.s & self.DM
+ for (i = m; i < a.t; ++i) r[i] = op(f, a[i])
+ r.t = a.t
+ }
+ r.s = op(self.s, a.s)
+ r.clamp()
+}
+
+// (public) this & a
+function op_and(x, y) {
+ return x & y
+}
+
+function bnAnd(a) {
+ var r = new BigInteger()
+ this.bitwiseTo(a, op_and, r)
+ return r
+}
+
+// (public) this | a
+function op_or(x, y) {
+ return x | y
+}
+
+function bnOr(a) {
+ var r = new BigInteger()
+ this.bitwiseTo(a, op_or, r)
+ return r
+}
+
+// (public) this ^ a
+function op_xor(x, y) {
+ return x ^ y
+}
+
+function bnXor(a) {
+ var r = new BigInteger()
+ this.bitwiseTo(a, op_xor, r)
+ return r
+}
+
+// (public) this & ~a
+function op_andnot(x, y) {
+ return x & ~y
+}
+
+function bnAndNot(a) {
+ var r = new BigInteger()
+ this.bitwiseTo(a, op_andnot, r)
+ return r
+}
+
+// (public) ~this
+function bnNot() {
+ var r = new BigInteger()
+ for (var i = 0; i < this.t; ++i) r[i] = this.DM & ~this[i]
+ r.t = this.t
+ r.s = ~this.s
+ return r
+}
+
+// (public) this << n
+function bnShiftLeft(n) {
+ var r = new BigInteger()
+ if (n < 0) this.rShiftTo(-n, r)
+ else this.lShiftTo(n, r)
+ return r
+}
+
+// (public) this >> n
+function bnShiftRight(n) {
+ var r = new BigInteger()
+ if (n < 0) this.lShiftTo(-n, r)
+ else this.rShiftTo(n, r)
+ return r
+}
+
+// return index of lowest 1-bit in x, x < 2^31
+function lbit(x) {
+ if (x == 0) return -1
+ var r = 0
+ if ((x & 0xffff) == 0) {
+ x >>= 16
+ r += 16
+ }
+ if ((x & 0xff) == 0) {
+ x >>= 8
+ r += 8
+ }
+ if ((x & 0xf) == 0) {
+ x >>= 4
+ r += 4
+ }
+ if ((x & 3) == 0) {
+ x >>= 2
+ r += 2
+ }
+ if ((x & 1) == 0)++r
+ return r
+}
+
+// (public) returns index of lowest 1-bit (or -1 if none)
+function bnGetLowestSetBit() {
+ for (var i = 0; i < this.t; ++i)
+ if (this[i] != 0) return i * this.DB + lbit(this[i])
+ if (this.s < 0) return this.t * this.DB
+ return -1
+}
+
+// return number of 1 bits in x
+function cbit(x) {
+ var r = 0
+ while (x != 0) {
+ x &= x - 1
+ ++r
+ }
+ return r
+}
+
+// (public) return number of set bits
+function bnBitCount() {
+ var r = 0,
+ x = this.s & this.DM
+ for (var i = 0; i < this.t; ++i) r += cbit(this[i] ^ x)
+ return r
+}
+
+// (public) true iff nth bit is set
+function bnTestBit(n) {
+ var j = Math.floor(n / this.DB)
+ if (j >= this.t) return (this.s != 0)
+ return ((this[j] & (1 << (n % this.DB))) != 0)
+}
+
+// (protected) this op (1<<n)
+function bnpChangeBit(n, op) {
+ var r = BigInteger.ONE.shiftLeft(n)
+ this.bitwiseTo(r, op, r)
+ return r
+}
+
+// (public) this | (1<<n)
+function bnSetBit(n) {
+ return this.changeBit(n, op_or)
+}
+
+// (public) this & ~(1<<n)
+function bnClearBit(n) {
+ return this.changeBit(n, op_andnot)
+}
+
+// (public) this ^ (1<<n)
+function bnFlipBit(n) {
+ return this.changeBit(n, op_xor)
+}
+
+// (protected) r = this + a
+function bnpAddTo(a, r) {
+ var self = this
+
+ var i = 0,
+ c = 0,
+ m = Math.min(a.t, self.t)
+ while (i < m) {
+ c += self[i] + a[i]
+ r[i++] = c & self.DM
+ c >>= self.DB
+ }
+ if (a.t < self.t) {
+ c += a.s
+ while (i < self.t) {
+ c += self[i]
+ r[i++] = c & self.DM
+ c >>= self.DB
+ }
+ c += self.s
+ } else {
+ c += self.s
+ while (i < a.t) {
+ c += a[i]
+ r[i++] = c & self.DM
+ c >>= self.DB
+ }
+ c += a.s
+ }
+ r.s = (c < 0) ? -1 : 0
+ if (c > 0) r[i++] = c
+ else if (c < -1) r[i++] = self.DV + c
+ r.t = i
+ r.clamp()
+}
+
+// (public) this + a
+function bnAdd(a) {
+ var r = new BigInteger()
+ this.addTo(a, r)
+ return r
+}
+
+// (public) this - a
+function bnSubtract(a) {
+ var r = new BigInteger()
+ this.subTo(a, r)
+ return r
+}
+
+// (public) this * a
+function bnMultiply(a) {
+ var r = new BigInteger()
+ this.multiplyTo(a, r)
+ return r
+}
+
+// (public) this^2
+function bnSquare() {
+ var r = new BigInteger()
+ this.squareTo(r)
+ return r
+}
+
+// (public) this / a
+function bnDivide(a) {
+ var r = new BigInteger()
+ this.divRemTo(a, r, null)
+ return r
+}
+
+// (public) this % a
+function bnRemainder(a) {
+ var r = new BigInteger()
+ this.divRemTo(a, null, r)
+ return r
+}
+
+// (public) [this/a,this%a]
+function bnDivideAndRemainder(a) {
+ var q = new BigInteger(),
+ r = new BigInteger()
+ this.divRemTo(a, q, r)
+ return new Array(q, r)
+}
+
+// (protected) this *= n, this >= 0, 1 < n < DV
+function bnpDMultiply(n) {
+ this[this.t] = this.am(0, n - 1, this, 0, 0, this.t)
+ ++this.t
+ this.clamp()
+}
+
+// (protected) this += n << w words, this >= 0
+function bnpDAddOffset(n, w) {
+ if (n == 0) return
+ while (this.t <= w) this[this.t++] = 0
+ this[w] += n
+ while (this[w] >= this.DV) {
+ this[w] -= this.DV
+ if (++w >= this.t) this[this.t++] = 0
+ ++this[w]
+ }
+}
+
+// A "null" reducer
+function NullExp() {}
+
+function nNop(x) {
+ return x
+}
+
+function nMulTo(x, y, r) {
+ x.multiplyTo(y, r)
+}
+
+function nSqrTo(x, r) {
+ x.squareTo(r)
+}
+
+NullExp.prototype.convert = nNop
+NullExp.prototype.revert = nNop
+NullExp.prototype.mulTo = nMulTo
+NullExp.prototype.sqrTo = nSqrTo
+
+// (public) this^e
+function bnPow(e) {
+ return this.exp(e, new NullExp())
+}
+
+// (protected) r = lower n words of "this * a", a.t <= n
+// "this" should be the larger one if appropriate.
+function bnpMultiplyLowerTo(a, n, r) {
+ var i = Math.min(this.t + a.t, n)
+ r.s = 0; // assumes a,this >= 0
+ r.t = i
+ while (i > 0) r[--i] = 0
+ var j
+ for (j = r.t - this.t; i < j; ++i) r[i + this.t] = this.am(0, a[i], r, i, 0, this.t)
+ for (j = Math.min(a.t, n); i < j; ++i) this.am(0, a[i], r, i, 0, n - i)
+ r.clamp()
+}
+
+// (protected) r = "this * a" without lower n words, n > 0
+// "this" should be the larger one if appropriate.
+function bnpMultiplyUpperTo(a, n, r) {
+ --n
+ var i = r.t = this.t + a.t - n
+ r.s = 0; // assumes a,this >= 0
+ while (--i >= 0) r[i] = 0
+ for (i = Math.max(n - this.t, 0); i < a.t; ++i)
+ r[this.t + i - n] = this.am(n - i, a[i], r, 0, 0, this.t + i - n)
+ r.clamp()
+ r.drShiftTo(1, r)
+}
+
+// Barrett modular reduction
+function Barrett(m) {
+ // setup Barrett
+ this.r2 = new BigInteger()
+ this.q3 = new BigInteger()
+ BigInteger.ONE.dlShiftTo(2 * m.t, this.r2)
+ this.mu = this.r2.divide(m)
+ this.m = m
+}
+
+function barrettConvert(x) {
+ if (x.s < 0 || x.t > 2 * this.m.t) return x.mod(this.m)
+ else if (x.compareTo(this.m) < 0) return x
+ else {
+ var r = new BigInteger()
+ x.copyTo(r)
+ this.reduce(r)
+ return r
+ }
+}
+
+function barrettRevert(x) {
+ return x
+}
+
+// x = x mod m (HAC 14.42)
+function barrettReduce(x) {
+ var self = this
+ x.drShiftTo(self.m.t - 1, self.r2)
+ if (x.t > self.m.t + 1) {
+ x.t = self.m.t + 1
+ x.clamp()
+ }
+ self.mu.multiplyUpperTo(self.r2, self.m.t + 1, self.q3)
+ self.m.multiplyLowerTo(self.q3, self.m.t + 1, self.r2)
+ while (x.compareTo(self.r2) < 0) x.dAddOffset(1, self.m.t + 1)
+ x.subTo(self.r2, x)
+ while (x.compareTo(self.m) >= 0) x.subTo(self.m, x)
+}
+
+// r = x^2 mod m; x != r
+function barrettSqrTo(x, r) {
+ x.squareTo(r)
+ this.reduce(r)
+}
+
+// r = x*y mod m; x,y != r
+function barrettMulTo(x, y, r) {
+ x.multiplyTo(y, r)
+ this.reduce(r)
+}
+
+Barrett.prototype.convert = barrettConvert
+Barrett.prototype.revert = barrettRevert
+Barrett.prototype.reduce = barrettReduce
+Barrett.prototype.mulTo = barrettMulTo
+Barrett.prototype.sqrTo = barrettSqrTo
+
+// (public) this^e % m (HAC 14.85)
+function bnModPow(e, m) {
+ var i = e.bitLength(),
+ k, r = nbv(1),
+ z
+ if (i <= 0) return r
+ else if (i < 18) k = 1
+ else if (i < 48) k = 3
+ else if (i < 144) k = 4
+ else if (i < 768) k = 5
+ else k = 6
+ if (i < 8)
+ z = new Classic(m)
+ else if (m.isEven())
+ z = new Barrett(m)
+ else
+ z = new Montgomery(m)
+
+ // precomputation
+ var g = new Array(),
+ n = 3,
+ k1 = k - 1,
+ km = (1 << k) - 1
+ g[1] = z.convert(this)
+ if (k > 1) {
+ var g2 = new BigInteger()
+ z.sqrTo(g[1], g2)
+ while (n <= km) {
+ g[n] = new BigInteger()
+ z.mulTo(g2, g[n - 2], g[n])
+ n += 2
+ }
+ }
+
+ var j = e.t - 1,
+ w, is1 = true,
+ r2 = new BigInteger(),
+ t
+ i = nbits(e[j]) - 1
+ while (j >= 0) {
+ if (i >= k1) w = (e[j] >> (i - k1)) & km
+ else {
+ w = (e[j] & ((1 << (i + 1)) - 1)) << (k1 - i)
+ if (j > 0) w |= e[j - 1] >> (this.DB + i - k1)
+ }
+
+ n = k
+ while ((w & 1) == 0) {
+ w >>= 1
+ --n
+ }
+ if ((i -= n) < 0) {
+ i += this.DB
+ --j
+ }
+ if (is1) { // ret == 1, don't bother squaring or multiplying it
+ g[w].copyTo(r)
+ is1 = false
+ } else {
+ while (n > 1) {
+ z.sqrTo(r, r2)
+ z.sqrTo(r2, r)
+ n -= 2
+ }
+ if (n > 0) z.sqrTo(r, r2)
+ else {
+ t = r
+ r = r2
+ r2 = t
+ }
+ z.mulTo(r2, g[w], r)
+ }
+
+ while (j >= 0 && (e[j] & (1 << i)) == 0) {
+ z.sqrTo(r, r2)
+ t = r
+ r = r2
+ r2 = t
+ if (--i < 0) {
+ i = this.DB - 1
+ --j
+ }
+ }
+ }
+ return z.revert(r)
+}
+
+// (public) gcd(this,a) (HAC 14.54)
+function bnGCD(a) {
+ var x = (this.s < 0) ? this.negate() : this.clone()
+ var y = (a.s < 0) ? a.negate() : a.clone()
+ if (x.compareTo(y) < 0) {
+ var t = x
+ x = y
+ y = t
+ }
+ var i = x.getLowestSetBit(),
+ g = y.getLowestSetBit()
+ if (g < 0) return x
+ if (i < g) g = i
+ if (g > 0) {
+ x.rShiftTo(g, x)
+ y.rShiftTo(g, y)
+ }
+ while (x.signum() > 0) {
+ if ((i = x.getLowestSetBit()) > 0) x.rShiftTo(i, x)
+ if ((i = y.getLowestSetBit()) > 0) y.rShiftTo(i, y)
+ if (x.compareTo(y) >= 0) {
+ x.subTo(y, x)
+ x.rShiftTo(1, x)
+ } else {
+ y.subTo(x, y)
+ y.rShiftTo(1, y)
+ }
+ }
+ if (g > 0) y.lShiftTo(g, y)
+ return y
+}
+
+// (protected) this % n, n < 2^26
+function bnpModInt(n) {
+ if (n <= 0) return 0
+ var d = this.DV % n,
+ r = (this.s < 0) ? n - 1 : 0
+ if (this.t > 0)
+ if (d == 0) r = this[0] % n
+ else
+ for (var i = this.t - 1; i >= 0; --i) r = (d * r + this[i]) % n
+ return r
+}
+
+// (public) 1/this % m (HAC 14.61)
+function bnModInverse(m) {
+ var ac = m.isEven()
+ if (this.signum() === 0) throw new Error('division by zero')
+ if ((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO
+ var u = m.clone(),
+ v = this.clone()
+ var a = nbv(1),
+ b = nbv(0),
+ c = nbv(0),
+ d = nbv(1)
+ while (u.signum() != 0) {
+ while (u.isEven()) {
+ u.rShiftTo(1, u)
+ if (ac) {
+ if (!a.isEven() || !b.isEven()) {
+ a.addTo(this, a)
+ b.subTo(m, b)
+ }
+ a.rShiftTo(1, a)
+ } else if (!b.isEven()) b.subTo(m, b)
+ b.rShiftTo(1, b)
+ }
+ while (v.isEven()) {
+ v.rShiftTo(1, v)
+ if (ac) {
+ if (!c.isEven() || !d.isEven()) {
+ c.addTo(this, c)
+ d.subTo(m, d)
+ }
+ c.rShiftTo(1, c)
+ } else if (!d.isEven()) d.subTo(m, d)
+ d.rShiftTo(1, d)
+ }
+ if (u.compareTo(v) >= 0) {
+ u.subTo(v, u)
+ if (ac) a.subTo(c, a)
+ b.subTo(d, b)
+ } else {
+ v.subTo(u, v)
+ if (ac) c.subTo(a, c)
+ d.subTo(b, d)
+ }
+ }
+ if (v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO
+ while (d.compareTo(m) >= 0) d.subTo(m, d)
+ while (d.signum() < 0) d.addTo(m, d)
+ return d
+}
+
+var lowprimes = [
+ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
+ 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151,
+ 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233,
+ 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317,
+ 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419,
+ 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503,
+ 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607,
+ 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701,
+ 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811,
+ 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911,
+ 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
+]
+
+var lplim = (1 << 26) / lowprimes[lowprimes.length - 1]
+
+// (public) test primality with certainty >= 1-.5^t
+function bnIsProbablePrime(t) {
+ var i, x = this.abs()
+ if (x.t == 1 && x[0] <= lowprimes[lowprimes.length - 1]) {
+ for (i = 0; i < lowprimes.length; ++i)
+ if (x[0] == lowprimes[i]) return true
+ return false
+ }
+ if (x.isEven()) return false
+ i = 1
+ while (i < lowprimes.length) {
+ var m = lowprimes[i],
+ j = i + 1
+ while (j < lowprimes.length && m < lplim) m *= lowprimes[j++]
+ m = x.modInt(m)
+ while (i < j) if (m % lowprimes[i++] == 0) return false
+ }
+ return x.millerRabin(t)
+}
+
+// (protected) true if probably prime (HAC 4.24, Miller-Rabin)
+function bnpMillerRabin(t) {
+ var n1 = this.subtract(BigInteger.ONE)
+ var k = n1.getLowestSetBit()
+ if (k <= 0) return false
+ var r = n1.shiftRight(k)
+ t = (t + 1) >> 1
+ if (t > lowprimes.length) t = lowprimes.length
+ var a = new BigInteger(null)
+ var j, bases = []
+ for (var i = 0; i < t; ++i) {
+ for (;;) {
+ j = lowprimes[Math.floor(Math.random() * lowprimes.length)]
+ if (bases.indexOf(j) == -1) break
+ }
+ bases.push(j)
+ a.fromInt(j)
+ var y = a.modPow(r, this)
+ if (y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) {
+ var j = 1
+ while (j++ < k && y.compareTo(n1) != 0) {
+ y = y.modPowInt(2, this)
+ if (y.compareTo(BigInteger.ONE) == 0) return false
+ }
+ if (y.compareTo(n1) != 0) return false
+ }
+ }
+ return true
+}
+
+// protected
+proto.chunkSize = bnpChunkSize
+proto.toRadix = bnpToRadix
+proto.fromRadix = bnpFromRadix
+proto.fromNumber = bnpFromNumber
+proto.bitwiseTo = bnpBitwiseTo
+proto.changeBit = bnpChangeBit
+proto.addTo = bnpAddTo
+proto.dMultiply = bnpDMultiply
+proto.dAddOffset = bnpDAddOffset
+proto.multiplyLowerTo = bnpMultiplyLowerTo
+proto.multiplyUpperTo = bnpMultiplyUpperTo
+proto.modInt = bnpModInt
+proto.millerRabin = bnpMillerRabin
+
+// public
+proto.clone = bnClone
+proto.intValue = bnIntValue
+proto.byteValue = bnByteValue
+proto.shortValue = bnShortValue
+proto.signum = bnSigNum
+proto.toByteArray = bnToByteArray
+proto.equals = bnEquals
+proto.min = bnMin
+proto.max = bnMax
+proto.and = bnAnd
+proto.or = bnOr
+proto.xor = bnXor
+proto.andNot = bnAndNot
+proto.not = bnNot
+proto.shiftLeft = bnShiftLeft
+proto.shiftRight = bnShiftRight
+proto.getLowestSetBit = bnGetLowestSetBit
+proto.bitCount = bnBitCount
+proto.testBit = bnTestBit
+proto.setBit = bnSetBit
+proto.clearBit = bnClearBit
+proto.flipBit = bnFlipBit
+proto.add = bnAdd
+proto.subtract = bnSubtract
+proto.multiply = bnMultiply
+proto.divide = bnDivide
+proto.remainder = bnRemainder
+proto.divideAndRemainder = bnDivideAndRemainder
+proto.modPow = bnModPow
+proto.modInverse = bnModInverse
+proto.pow = bnPow
+proto.gcd = bnGCD
+proto.isProbablePrime = bnIsProbablePrime
+
+// JSBN-specific extension
+proto.square = bnSquare
+
+// constants
+BigInteger.ZERO = nbv(0)
+BigInteger.ONE = nbv(1)
+BigInteger.valueOf = nbv
+
+module.exports = BigInteger
+
+},{"../package.json":38}],36:[function(require,module,exports){
+(function (Buffer){
+// FIXME: Kind of a weird way to throw exceptions, consider removing
+var assert = require('assert')
+var BigInteger = require('./bigi')
+
+/**
+ * Turns a byte array into a big integer.
+ *
+ * This function will interpret a byte array as a big integer in big
+ * endian notation.
+ */
+BigInteger.fromByteArrayUnsigned = function(byteArray) {
+ // BigInteger expects a DER integer conformant byte array
+ if (byteArray[0] & 0x80) {
+ return new BigInteger([0].concat(byteArray))
+ }
+
+ return new BigInteger(byteArray)
+}
+
+/**
+ * Returns a byte array representation of the big integer.
+ *
+ * This returns the absolute of the contained value in big endian
+ * form. A value of zero results in an empty array.
+ */
+BigInteger.prototype.toByteArrayUnsigned = function() {
+ var byteArray = this.toByteArray()
+ return byteArray[0] === 0 ? byteArray.slice(1) : byteArray
+}
+
+BigInteger.fromDERInteger = function(byteArray) {
+ return new BigInteger(byteArray)
+}
+
+/*
+ * Converts BigInteger to a DER integer representation.
+ *
+ * The format for this value uses the most significant bit as a sign
+ * bit. If the most significant bit is already set and the integer is
+ * positive, a 0x00 is prepended.
+ *
+ * Examples:
+ *
+ * 0 => 0x00
+ * 1 => 0x01
+ * -1 => 0xff
+ * 127 => 0x7f
+ * -127 => 0x81
+ * 128 => 0x0080
+ * -128 => 0x80
+ * 255 => 0x00ff
+ * -255 => 0xff01
+ * 16300 => 0x3fac
+ * -16300 => 0xc054
+ * 62300 => 0x00f35c
+ * -62300 => 0xff0ca4
+*/
+BigInteger.prototype.toDERInteger = BigInteger.prototype.toByteArray
+
+BigInteger.fromBuffer = function(buffer) {
+ // BigInteger expects a DER integer conformant byte array
+ if (buffer[0] & 0x80) {
+ var byteArray = Array.prototype.slice.call(buffer)
+
+ return new BigInteger([0].concat(byteArray))
+ }
+
+ return new BigInteger(buffer)
+}
+
+BigInteger.fromHex = function(hex) {
+ if (hex === '') return BigInteger.ZERO
+
+ assert.equal(hex, hex.match(/^[A-Fa-f0-9]+/), 'Invalid hex string')
+ assert.equal(hex.length % 2, 0, 'Incomplete hex')
+ return new BigInteger(hex, 16)
+}
+
+BigInteger.prototype.toBuffer = function(size) {
+ var byteArray = this.toByteArrayUnsigned()
+ var zeros = []
+
+ var padding = size - byteArray.length
+ while (zeros.length < padding) zeros.push(0)
+
+ return new Buffer(zeros.concat(byteArray))
+}
+
+BigInteger.prototype.toHex = function(size) {
+ return this.toBuffer(size).toString('hex')
+}
+
+}).call(this,require("buffer").Buffer)
+},{"./bigi":35,"assert":1,"buffer":4}],37:[function(require,module,exports){
+var BigInteger = require('./bigi')
+
+//addons
+require('./convert')
+
+module.exports = BigInteger
+},{"./bigi":35,"./convert":36}],38:[function(require,module,exports){
+module.exports={
+ "_args": [
+ [
+ "bigi",
+ "/home/ian/git/bitcoin/bitcoinjs-lib-browser"
+ ]
+ ],
+ "_from": "bigi@latest",
+ "_id": "bigi@1.4.2",
+ "_inCache": true,
+ "_installable": true,
+ "_location": "/bigi",
+ "_nodeVersion": "6.1.0",
+ "_npmOperationalInternal": {
+ "host": "packages-12-west.internal.npmjs.com",
+ "tmp": "tmp/bigi-1.4.2.tgz_1469584192413_0.6801238611806184"
+ },
+ "_npmUser": {
+ "email": "jprichardson@gmail.com",
+ "name": "jprichardson"
+ },
+ "_npmVersion": "3.8.6",
+ "_phantomChildren": {},
+ "_requested": {
+ "name": "bigi",
+ "raw": "bigi",
+ "rawSpec": "",
+ "scope": null,
+ "spec": "latest",
+ "type": "tag"
+ },
+ "_requiredBy": [
+ "#USER",
+ "/bitcoinjs-lib",
+ "/ecurve"
+ ],
+ "_resolved": "https://registry.npmjs.org/bigi/-/bigi-1.4.2.tgz",
+ "_shasum": "9c665a95f88b8b08fc05cfd731f561859d725825",
+ "_shrinkwrap": null,
+ "_spec": "bigi",
+ "_where": "/home/ian/git/bitcoin/bitcoinjs-lib-browser",
+ "bugs": {
+ "url": "https://github.com/cryptocoinjs/bigi/issues"
+ },
+ "dependencies": {},
+ "description": "Big integers.",
+ "devDependencies": {
+ "coveralls": "^2.11.2",
+ "istanbul": "^0.3.5",
+ "jshint": "^2.5.1",
+ "mocha": "^2.1.0",
+ "mochify": "^2.1.0"
+ },
+ "directories": {},
+ "dist": {
+ "shasum": "9c665a95f88b8b08fc05cfd731f561859d725825",
+ "tarball": "https://registry.npmjs.org/bigi/-/bigi-1.4.2.tgz"
+ },
+ "gitHead": "c25308081c896ff84702303722bf5ecd8b3f78e3",
+ "homepage": "https://github.com/cryptocoinjs/bigi#readme",
+ "keywords": [
+ "cryptography",
+ "math",
+ "bitcoin",
+ "arbitrary",
+ "precision",
+ "arithmetic",
+ "big",
+ "integer",
+ "int",
+ "number",
+ "biginteger",
+ "bigint",
+ "bignumber",
+ "decimal",
+ "float"
+ ],
+ "main": "./lib/index.js",
+ "maintainers": [
+ {
+ "email": "boydb@midnightdesign.ws",
+ "name": "midnightlightning"
+ },
+ {
+ "email": "sidazhang89@gmail.com",
+ "name": "sidazhang"
+ },
+ {
+ "email": "npm@shesek.info",
+ "name": "nadav"
+ },
+ {
+ "email": "jprichardson@gmail.com",
+ "name": "jprichardson"
+ }
+ ],
+ "name": "bigi",
+ "optionalDependencies": {},
+ "readme": "ERROR: No README data found!",
+ "repository": {
+ "type": "git",
+ "url": "git+https://github.com/cryptocoinjs/bigi.git"
+ },
+ "scripts": {
+ "browser-test": "mochify --wd -R spec",
+ "coverage": "istanbul cover ./node_modules/.bin/_mocha -- --reporter list test/*.js",
+ "coveralls": "npm run-script coverage && node ./node_modules/.bin/coveralls < coverage/lcov.info",
+ "jshint": "jshint --config jshint.json lib/*.js ; true",
+ "test": "_mocha -- test/*.js",
+ "unit": "mocha"
+ },
+ "testling": {
+ "browsers": [
+ "ie/9..latest",
+ "firefox/latest",
+ "chrome/latest",
+ "safari/6.0..latest",
+ "iphone/6.0..latest",
+ "android-browser/4.2..latest"
+ ],
+ "files": "test/*.js",
+ "harness": "mocha"
+ },
+ "version": "1.4.2"
+}
+
+},{}],39:[function(require,module,exports){
+// Reference https://github.com/bitcoin/bips/blob/master/bip-0066.mediawiki
+// Format: 0x30 [total-length] 0x02 [R-length] [R] 0x02 [S-length] [S]
+// NOTE: SIGHASH byte ignored AND restricted, truncate before use
+
+var Buffer = require('safe-buffer').Buffer
+
+function check (buffer) {
+ if (buffer.length < 8) return false
+ if (buffer.length > 72) return false
+ if (buffer[0] !== 0x30) return false
+ if (buffer[1] !== buffer.length - 2) return false
+ if (buffer[2] !== 0x02) return false
+
+ var lenR = buffer[3]
+ if (lenR === 0) return false
+ if (5 + lenR >= buffer.length) return false
+ if (buffer[4 + lenR] !== 0x02) return false
+
+ var lenS = buffer[5 + lenR]
+ if (lenS === 0) return false
+ if ((6 + lenR + lenS) !== buffer.length) return false
+
+ if (buffer[4] & 0x80) return false
+ if (lenR > 1 && (buffer[4] === 0x00) && !(buffer[5] & 0x80)) return false
+
+ if (buffer[lenR + 6] & 0x80) return false
+ if (lenS > 1 && (buffer[lenR + 6] === 0x00) && !(buffer[lenR + 7] & 0x80)) return false
+ return true
+}
+
+function decode (buffer) {
+ if (buffer.length < 8) throw new Error('DER sequence length is too short')
+ if (buffer.length > 72) throw new Error('DER sequence length is too long')
+ if (buffer[0] !== 0x30) throw new Error('Expected DER sequence')
+ if (buffer[1] !== buffer.length - 2) throw new Error('DER sequence length is invalid')
+ if (buffer[2] !== 0x02) throw new Error('Expected DER integer')
+
+ var lenR = buffer[3]
+ if (lenR === 0) throw new Error('R length is zero')
+ if (5 + lenR >= buffer.length) throw new Error('R length is too long')
+ if (buffer[4 + lenR] !== 0x02) throw new Error('Expected DER integer (2)')
+
+ var lenS = buffer[5 + lenR]
+ if (lenS === 0) throw new Error('S length is zero')
+ if ((6 + lenR + lenS) !== buffer.length) throw new Error('S length is invalid')
+
+ if (buffer[4] & 0x80) throw new Error('R value is negative')
+ if (lenR > 1 && (buffer[4] === 0x00) && !(buffer[5] & 0x80)) throw new Error('R value excessively padded')
+
+ if (buffer[lenR + 6] & 0x80) throw new Error('S value is negative')
+ if (lenS > 1 && (buffer[lenR + 6] === 0x00) && !(buffer[lenR + 7] & 0x80)) throw new Error('S value excessively padded')
+
+ // non-BIP66 - extract R, S values
+ return {
+ r: buffer.slice(4, 4 + lenR),
+ s: buffer.slice(6 + lenR)
+ }
+}
+
+/*
+ * Expects r and s to be positive DER integers.
+ *
+ * The DER format uses the most significant bit as a sign bit (& 0x80).
+ * If the significant bit is set AND the integer is positive, a 0x00 is prepended.
+ *
+ * Examples:
+ *
+ * 0 => 0x00
+ * 1 => 0x01
+ * -1 => 0xff
+ * 127 => 0x7f
+ * -127 => 0x81
+ * 128 => 0x0080
+ * -128 => 0x80
+ * 255 => 0x00ff
+ * -255 => 0xff01
+ * 16300 => 0x3fac
+ * -16300 => 0xc054
+ * 62300 => 0x00f35c
+ * -62300 => 0xff0ca4
+*/
+function encode (r, s) {
+ var lenR = r.length
+ var lenS = s.length
+ if (lenR === 0) throw new Error('R length is zero')
+ if (lenS === 0) throw new Error('S length is zero')
+ if (lenR > 33) throw new Error('R length is too long')
+ if (lenS > 33) throw new Error('S length is too long')
+ if (r[0] & 0x80) throw new Error('R value is negative')
+ if (s[0] & 0x80) throw new Error('S value is negative')
+ if (lenR > 1 && (r[0] === 0x00) && !(r[1] & 0x80)) throw new Error('R value excessively padded')
+ if (lenS > 1 && (s[0] === 0x00) && !(s[1] & 0x80)) throw new Error('S value excessively padded')
+
+ var signature = Buffer.allocUnsafe(6 + lenR + lenS)
+
+ // 0x30 [total-length] 0x02 [R-length] [R] 0x02 [S-length] [S]
+ signature[0] = 0x30
+ signature[1] = signature.length - 2
+ signature[2] = 0x02
+ signature[3] = r.length
+ r.copy(signature, 4)
+ signature[4 + lenR] = 0x02
+ signature[5 + lenR] = s.length
+ s.copy(signature, 6 + lenR)