/* bn.js by Fedor Indutny, see doc/LICENSE.bn for license */
var __bn = {};
(function (module, exports) {
'use strict';
function BN(number, base, endian) {
// May be `new BN(bn)` ?
if (number !== null &&
typeof number === 'object' &&
Array.isArray(number.words)) {
return number;
}
this.negative = 0;
this.words = null;
this.length = 0;
if (base === 'le' || base === 'be') {
endian = base;
base = 10;
}
if (number !== null)
this._init(number || 0, base || 10, endian || 'be');
}
if (typeof module === 'object')
module.exports = BN;
else
exports.BN = BN;
BN.BN = BN;
BN.wordSize = 26;
BN.max = function max(left, right) {
if (left.cmp(right) > 0)
return left;
else
return right;
};
BN.min = function min(left, right) {
if (left.cmp(right) < 0)
return left;
else
return right;
};
BN.prototype._init = function init(number, base, endian) {
if (typeof number === 'number') {
return this._initNumber(number, base, endian);
} else if (typeof number === 'object') {
return this._initArray(number, base, endian);
}
if (base === 'hex')
base = 16;
number = number.toString().replace(/\s+/g, '');
var start = 0;
if (number[0] === '-')
start++;
if (base === 16)
this._parseHex(number, start);
else
this._parseBase(number, base, start);
if (number[0] === '-')
this.negative = 1;
this.strip();
if (endian !== 'le')
return;
this._initArray(this.toArray(), base, endian);
};
BN.prototype._initNumber = function _initNumber(number, base, endian) {
if (number < 0) {
this.negative = 1;
number = -number;
}
if (number < 0x4000000) {
this.words = [ number & 0x3ffffff ];
this.length = 1;
} else if (number < 0x10000000000000) {
this.words = [
number & 0x3ffffff,
(number / 0x4000000) & 0x3ffffff
];
this.length = 2;
} else {
this.words = [
number & 0x3ffffff,
(number / 0x4000000) & 0x3ffffff,
1
];
this.length = 3;
}
if (endian !== 'le')
return;
// Reverse the bytes
this._initArray(this.toArray(), base, endian);
};
BN.prototype._initArray = function _initArray(number, base, endian) {
if (number.length <= 0) {
this.words = [ 0 ];
this.length = 1;
return this;
}
this.length = Math.ceil(number.length / 3);
this.words = new Array(this.length);
for (var i = 0; i < this.length; i++)
this.words[i] = 0;
var off = 0;
if (endian === 'be') {
for (var i = number.length - 1, j = 0; i >= 0; i -= 3) {
var w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
off += 24;
if (off >= 26) {
off -= 26;
j++;
}
}
} else if (endian === 'le') {
for (var i = 0, j = 0; i < number.length; i += 3) {
var w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
off += 24;
if (off >= 26) {
off -= 26;
j++;
}
}
}
return this.strip();
};
function parseHex(str, start, end) {
var r = 0;
var len = Math.min(str.length, end);
for (var i = start; i < len; i++) {
var c = str.charCodeAt(i) - 48;
r <<= 4;
// 'a' - 'f'
if (c >= 49 && c <= 54)
r |= c - 49 + 0xa;
// 'A' - 'F'
else if (c >= 17 && c <= 22)
r |= c - 17 + 0xa;
// '0' - '9'
else
r |= c & 0xf;
}
return r;
}
BN.prototype._parseHex = function _parseHex(number, start) {
// Create possibly bigger array to ensure that it fits the number
this.length = Math.ceil((number.length - start) / 6);
this.words = new Array(this.length);
for (var i = 0; i < this.length; i++)
this.words[i] = 0;
// Scan 24-bit chunks and add them to the number
var off = 0;
for (var i = number.length - 6, j = 0; i >= start; i -= 6) {
var w = parseHex(number, i, i + 6);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
off += 24;
if (off >= 26) {
off -= 26;
j++;
}
}
if (i + 6 !== start) {
var w = parseHex(number, start, i + 6);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
}
this.strip();
};
function parseBase(str, start, end, mul) {
var r = 0;
var len = Math.min(str.length, end);
for (var i = start; i < len; i++) {
var c = str.charCodeAt(i) - 48;
r *= mul;
// 'a'
if (c >= 49)
r += c - 49 + 0xa;
// 'A'
else if (c >= 17)
r += c - 17 + 0xa;
// '0' - '9'
else
r += c;
}
return r;
}
BN.prototype._parseBase = function _parseBase(number, base, start) {
// Initialize as zero
this.words = [ 0 ];
this.length = 1;
// Find length of limb in base
for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base)
limbLen++;
limbLen--;
limbPow = (limbPow / base) | 0;
var total = number.length - start;
var mod = total % limbLen;
var end = Math.min(total, total - mod) + start;
var word = 0;
for (var i = start; i < end; i += limbLen) {
word = parseBase(number, i, i + limbLen, base);
this.imuln(limbPow);
if (this.words[0] + word < 0x4000000)
this.words[0] += word;
else
this._iaddn(word);
}
if (mod !== 0) {
var pow = 1;
var word = parseBase(number, i, number.length, base);
for (var i = 0; i < mod; i++)
pow *= base;
this.imuln(pow);
if (this.words[0] + word < 0x4000000)
this.words[0] += word;
else
this._iaddn(word);
}
};
BN.prototype.copy = function copy(dest) {
dest.words = new Array(this.length);
for (var i = 0; i < this.length; i++)
dest.words[i] = this.words[i];
dest.length = this.length;
dest.negative = this.negative;
};
BN.prototype.clone = function clone() {
var r = new BN(null);
this.copy(r);
return r;
};
// Remove leading `0` from `this`
BN.prototype.strip = function strip() {
while (this.length > 1 && this.words[this.length - 1] === 0)
this.length--;
return this._normSign();
};
BN.prototype._normSign = function _normSign() {
// -0 = 0
if (this.length === 1 && this.words[0] === 0)
this.negative = 0;
return this;
};
var zeros = [
'',
'0',
'00',
'000',
'0000',
'00000',
'000000',
'0000000',
'00000000',
'000000000',
'0000000000',
'00000000000',
'000000000000',
'0000000000000',
'00000000000000',
'000000000000000',
'0000000000000000',
'00000000000000000',
'000000000000000000',
'0000000000000000000',
'00000000000000000000',
'000000000000000000000',
'0000000000000000000000',
'00000000000000000000000',
'000000000000000000000000',
'0000000000000000000000000'
];
var groupSizes = [
0, 0,
25, 16, 12, 11, 10, 9, 8,
8, 7, 7, 7, 7, 6, 6,
6, 6, 6, 6, 6, 5, 5,
5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5
];
var groupBases = [
0, 0,
33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,
43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,
16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,
6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,
24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176
];
BN.prototype.toString = function toString(base, padding) {
base = base || 10;
var padding = padding | 0 || 1;
if (base === 16 || base === 'hex') {
var out = '';
var off = 0;
var carry = 0;
for (var i = 0; i < this.length; i++) {
var w = this.words[i];
var word = (((w << off) | carry) & 0xffffff).toString(16);
carry = (w >>> (24 - off)) & 0xffffff;
if (carry !== 0 || i !== this.length - 1)
out = zeros[6 - word.length] + word + out;
else
out = word + out;
off += 2;
if (off >= 26) {
off -= 26;
i--;
}
}
if (carry !== 0)
out = carry.toString(16) + out;
while (out.length % padding !== 0)
out = '0' + out;
if (this.negative !== 0)
out = '-' + out;
return out;
} else if (base === (base | 0) && base >= 2 && base <= 36) {
var groupSize = groupSizes[base];
var groupBase = groupBases[base];
var out = '';
var c = this.clone();
c.negative = 0;
while (c.cmpn(0) !== 0) {
var r = c.modn(groupBase).toString(base);
c = c.idivn(groupBase);
if (c.cmpn(0) !== 0)
out = zeros[groupSize - r.length] + r + out;
else
out = r + out;
}
if (this.cmpn(0) === 0)
out = '0' + out;
while (out.length % padding !== 0)
out = '0' + out;
if (this.negative !== 0)
out = '-' + out;
return out;
} else {
throw 'Base should be between 2 and 36';
}
};
BN.prototype.toJSON = function toJSON() {
return this.toString(16);
};
BN.prototype.toArray = function toArray(endian, length) {
this.strip();
var littleEndian = endian === 'le';
var res = new Array(this.byteLength());
res[0] = 0;
var q = this.clone();
if (!littleEndian) {
// Assume big-endian
for (var i = 0; q.cmpn(0) !== 0; i++) {
var b = q.andln(0xff);
q.iushrn(8);
res[res.length - i - 1] = b;
}
} else {
for (var i = 0; q.cmpn(0) !== 0; i++) {
var b = q.andln(0xff);
q.iushrn(8);
res[i] = b;
}
}
if (length) {
while (res.length < length) {
if (littleEndian)
res.push(0);
else
res.unshift(0);
}
}
return res;
};
if (Math.clz32) {
BN.prototype._countBits = function _countBits(w) {
return 32 - Math.clz32(w);
};
} else {
BN.prototype._countBits = function _countBits(w) {
var t = w;
var r = 0;
if (t >= 0x1000) {
r += 13;
t >>>= 13;
}
if (t >= 0x40) {
r += 7;
t >>>= 7;
}
if (t >= 0x8) {
r += 4;
t >>>= 4;
}
if (t >= 0x02) {
r += 2;
t >>>= 2;
}
return r + t;
};
}
// Return number of used bits in a BN
BN.prototype.bitLength = function bitLength() {
var hi = 0;
var w = this.words[this.length - 1];
var hi = this._countBits(w);
return (this.length - 1) * 26 + hi;
};
BN.prototype.byteLength = function byteLength() {
return Math.ceil(this.bitLength() / 8);
};
// Return negative clone of `this`
BN.prototype.neg = function neg() {
if (this.cmpn(0) === 0)
return this.clone();
var r = this.clone();
r.negative = this.negative ^ 1;
return r;
};
BN.prototype.ineg = function ineg() {
this.negative ^= 1;
return this;
};
// Or `num` with `this` in-place
BN.prototype.iuor = function iuor(num) {
while (this.length < num.length)
this.words[this.length++] = 0;
for (var i = 0; i < num.length; i++)
this.words[i] = this.words[i] | num.words[i];
return this.strip();
};
BN.prototype.ior = function ior(num) {
//assert((this.negative | num.negative) === 0);
return this.iuor(num);
};
// Or `num` with `this`
BN.prototype.or = function or(num) {
if (this.length > num.length)
return this.clone().ior(num);
else
return num.clone().ior(this);
};
BN.prototype.uor = function uor(num) {
if (this.length > num.length)
return this.clone().iuor(num);
else
return num.clone().iuor(this);
};
// And `num` with `this` in-place
BN.prototype.iuand = function iuand(num) {
// b = min-length(num, this)
var b;
if (this.length > num.length)
b = num;
else
b = this;
for (var i = 0; i < b.length; i++)
this.words[i] = this.words[i] & num.words[i];
this.length = b.length;
return this.strip();
};
BN.prototype.iand = function iand(num) {
//assert((this.negative | num.negative) === 0);
return this.iuand(num);
};
// And `num` with `this`
BN.prototype.and = function and(num) {
if (this.length > num.length)
return this.clone().iand(num);
else
return num.clone().iand(this);
};
BN.prototype.uand = function uand(num) {
if (this.length > num.length)
return this.clone().iuand(num);
else
return num.clone().iuand(this);
};
// Xor `num` with `this` in-place
BN.prototype.iuxor = function iuxor(num) {
// a.length > b.length
var a;
var b;
if (this.length > num.length) {
a = this;
b = num;
} else {
a = num;
b = this;
}
for (var i = 0; i < b.length; i++)
this.words[i] = a.words[i] ^ b.words[i];
if (this !== a)
for (; i < a.length; i++)
this.words[i] = a.words[i];
this.length = a.length;
return this.strip();
};
BN.prototype.ixor = function ixor(num) {
//assert((this.negative | num.negative) === 0);
return this.iuxor(num);
};
// Xor `num` with `this`
BN.prototype.xor = function xor(num) {
if (this.length > num.length)
return this.clone().ixor(num);
else
return num.clone().ixor(this);
};
BN.prototype.uxor = function uxor(num) {
if (this.length > num.length)
return this.clone().iuxor(num);
else
return num.clone().iuxor(this);
};
// Add `num` to `this` in-place
BN.prototype.iadd = function iadd(num) {
// negative + positive
if (this.negative !== 0 && num.negative === 0) {
this.negative = 0;
var r = this.isub(num);
this.negative ^= 1;
return this._normSign();
// positive + negative
} else if (this.negative === 0 && num.negative !== 0) {
num.negative = 0;
var r = this.isub(num);
num.negative = 1;
return r._normSign();
}
// a.length > b.length
var a;
var b;
if (this.length > num.length) {
a = this;
b = num;
} else {
a = num;
b = this;
}
var carry = 0;
for (var i = 0; i < b.length; i++) {
var r = (a.words[i] | 0) + (b.words[i] | 0) + carry;
this.words[i] = r & 0x3ffffff;
carry = r >>> 26;
}
for (; carry !== 0 && i < a.length; i++) {
var r = (a.words[i] | 0) + carry;
this.words[i] = r & 0x3ffffff;
carry = r >>> 26;
}
this.length = a.length;
if (carry !== 0) {
this.words[this.length] = carry;
this.length++;
// Copy the rest of the words
} else if (a !== this) {
for (; i < a.length; i++)
this.words[i] = a.words[i];
}
return this;
};
// Add `num` to `this`
BN.prototype.add = function add(num) {
if (num.negative !== 0 && this.negative === 0) {
num.negative = 0;
var res = this.sub(num);
num.negative ^= 1;
return res;
} else if (num.negative === 0 && this.negative !== 0) {
this.negative = 0;
var res = num.sub(this);
this.negative = 1;
return res;
}
if (this.length > num.length)
return this.clone().iadd(num);
else
return num.clone().iadd(this);
};
// Subtract `num` from `this` in-place
BN.prototype.isub = function isub(num) {
// this - (-num) = this + num
if (num.negative !== 0) {
num.negative = 0;
var r = this.iadd(num);
num.negative = 1;
return r._normSign();
// -this - num = -(this + num)
} else if (this.negative !== 0) {
this.negative = 0;
this.iadd(num);
this.negative = 1;
return this._normSign();
}
// At this point both numbers are positive
var cmp = this.cmp(num);
// Optimization - zeroify
if (cmp === 0) {
this.negative = 0;
this.length = 1;
this.words[0] = 0;
return this;
}
// a > b
var a;
var b;
if (cmp > 0) {
a = this;
b = num;
} else {
a = num;
b = this;
}
var carry = 0;
for (var i = 0; i < b.length; i++) {
var r = (a.words[i] | 0) - (b.words[i] | 0) + carry;
carry = r >> 26;
this.words[i] = r & 0x3ffffff;
}
for (; carry !== 0 && i < a.length; i++) {
var r = (a.words[i] | 0) + carry;
carry = r >> 26;
this.words[i] = r & 0x3ffffff;
}
// Copy rest of the words
if (carry === 0 && i < a.length && a !== this)
for (; i < a.length; i++)
this.words[i] = a.words[i];
this.length = Math.max(this.length, i);
if (a !== this)
this.negative = 1;
return this.strip();
};
// Subtract `num` from `this`
BN.prototype.sub = function sub(num) {
return this.clone().isub(num);
};
function smallMulTo(self, num, out) {
out.negative = num.negative ^ self.negative;
var len = (self.length + num.length) | 0;
out.length = len;
len = (len - 1) | 0;
// Peel one iteration (compiler can't do it, because of code complexity)
var a = self.words[0] | 0;
var b = num.words[0] | 0;
var r = a * b;
var lo = r & 0x3ffffff;
var carry = (r / 0x4000000) | 0;
out.words[0] = lo;
for (var k = 1; k < len; k++) {
// Sum all words with the same `i + j = k` and accumulate `ncarry`,
// note that ncarry could be >= 0x3ffffff
var ncarry = carry >>> 26;
var rword = carry & 0x3ffffff;
var maxJ = Math.min(k, num.length - 1);
for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
var i = (k - j) | 0;
var a = self.words[i] | 0;
var b = num.words[j] | 0;
var r = a * b;
var lo = r & 0x3ffffff;
ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;
lo = (lo + rword) | 0;
rword = lo & 0x3ffffff;
ncarry = (ncarry + (lo >>> 26)) | 0;
}
out.words[k] = rword | 0;
carry = ncarry | 0;
}
if (carry !== 0) {
out.words[k] = carry | 0;
} else {
out.length--;
}
return out.strip();
}
function bigMulTo(self, num, out) {
out.negative = num.negative ^ self.negative;
out.length = self.length + num.length;
var carry = 0;
var hncarry = 0;
for (var k = 0; k < out.length - 1; k++) {
// Sum all words with the same `i + j = k` and accumulate `ncarry`,
// note that ncarry could be >= 0x3ffffff
var ncarry = hncarry;
hncarry = 0;
var rword = carry & 0x3ffffff;
var maxJ = Math.min(k, num.length - 1);
for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
var i = k - j;
var a = self.words[i] | 0;
var b = num.words[j] | 0;
var r = a * b;
var lo = r & 0x3ffffff;
ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;
lo = (lo + rword) | 0;
rword = lo & 0x3ffffff;
ncarry = (ncarry + (lo >>> 26)) | 0;
hncarry += ncarry >>> 26;
ncarry &= 0x3ffffff;
}
out.words[k] = rword;
carry = ncarry;
ncarry = hncarry;
}
if (carry !== 0) {
out.words[k] = carry;
} else {
out.length--;
}
return out.strip();
}
BN.prototype.mulTo = function mulTo(num, out) {
var res;
if (this.length + num.length < 63)
res = smallMulTo(this, num, out);
else
res = bigMulTo(this, num, out);
return res;
};
// Multiply `this` by `num`
BN.prototype.mul = function mul(num) {
var out = new BN(null);
out.words = new Array(this.length + num.length);
return this.mulTo(num, out);
};
// In-place Multiplication
BN.prototype.imul = function imul(num) {
if (this.cmpn(0) === 0 || num.cmpn(0) === 0) {
this.words[0] = 0;
this.length = 1;
return this;
}
var tlen = this.length;
var nlen = num.length;
this.negative = num.negative ^ this.negative;
this.length = this.length + num.length;
this.words[this.length - 1] = 0;
for (var k = this.length - 2; k >= 0; k--) {
// Sum all words with the same `i + j = k` and accumulate `carry`,
// note that carry could be >= 0x3ffffff
var carry = 0;
var rword = 0;
var maxJ = Math.min(k, nlen - 1);
for (var j = Math.max(0, k - tlen + 1); j <= maxJ; j++) {
var i = k - j;
var a = this.words[i] | 0;
var b = num.words[j] | 0;
var r = a * b;
var lo = r & 0x3ffffff;
carry += (r / 0x4000000) | 0;
lo += rword;
rword = lo & 0x3ffffff;
carry += lo >>> 26;
}
this.words[k] = rword;
this.words[k + 1] += carry;
carry = 0;
}
// Propagate overflows
var carry = 0;
for (var i = 1; i < this.length; i++) {
var w = (this.words[i] | 0) + carry;
this.words[i] = w & 0x3ffffff;
carry = w >>> 26;
}
return this.strip();
};
BN.prototype.imuln = function imuln(num) {
// Carry
var carry = 0;
for (var i = 0; i < this.length; i++) {
var w = (this.words[i] | 0) * num;
var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);
carry >>= 26;
carry += (w / 0x4000000) | 0;
// NOTE: lo is 27bit maximum
carry += lo >>> 26;
this.words[i] = lo & 0x3ffffff;
}
if (carry !== 0) {
this.words[i] = carry;
this.length++;
}
return this;
};
BN.prototype.muln = function muln(num) {
return this.clone().imuln(num);
};
// `this` * `this`
BN.prototype.sqr = function sqr() {
return this.mul(this);
};
// `this` * `this` in-place
BN.prototype.isqr = function isqr() {
return this.mul(this);
};
// Shift-left in-place
BN.prototype.iushln = function iushln(bits) {
var r = bits % 26;
var s = (bits - r) / 26;
var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);
if (r !== 0) {
var carry = 0;
for (var i = 0; i < this.length; i++) {
var newCarry = this.words[i] & carryMask;
var c = ((this.words[i] | 0) - newCarry) << r;
this.words[i] = c | carry;
carry = newCarry >>> (26 - r);
}
if (carry) {
this.words[i] = carry;
this.length++;
}
}
if (s !== 0) {
for (var i = this.length - 1; i >= 0; i--)
this.words[i + s] = this.words[i];
for (var i = 0; i < s; i++)
this.words[i] = 0;
this.length += s;
}
return this.strip();
};
BN.prototype.ishln = function ishln(bits) {
return this.iushln(bits);
};
// Shift-right in-place
BN.prototype.iushrn = function iushrn(bits, hint, extended) {
var h;
if (hint)
h = (hint - (hint % 26)) / 26;
else
h = 0;
var r = bits % 26;
var s = Math.min((bits - r) / 26, this.length);
var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
var maskedWords = extended;
h -= s;
h = Math.max(0, h);
// Extended mode, copy masked part
if (maskedWords) {
for (var i = 0; i < s; i++)
maskedWords.words[i] = this.words[i];
maskedWords.length = s;
}
if (s === 0) {
// No-op, we should not move anything at all
} else if (this.length > s) {
this.length -= s;
for (var i = 0; i < this.length; i++)
this.words[i] = this.words[i + s];
} else {
this.words[0] = 0;
this.length = 1;
}
var carry = 0;
for (var i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {
var word = this.words[i] | 0;
this.words[i] = (carry << (26 - r)) | (word >>> r);
carry = word & mask;
}
// Push carried bits as a mask
if (maskedWords && carry !== 0)
maskedWords.words[maskedWords.length++] = carry;
if (this.length === 0) {
this.words[0] = 0;
this.length = 1;
}
this.strip();
return this;
};
BN.prototype.ishrn = function ishrn(bits, hint, extended) {
return this.iushrn(bits, hint, extended);
};
// Shift-left
BN.prototype.shln = function shln(bits) {
var x = this.clone();
var neg = x.negative;
x.negative = false;
x.ishln(bits);
x.negative = neg;
return x;
};
BN.prototype.ushln = function ushln(bits) {
return this.clone().iushln(bits);
};
// Shift-right
BN.prototype.shrn = function shrn(bits) {
var x = this.clone();
if(x.negative) {
x.negative = false;
x.ishrn(bits);
x.negative = true;
return x.isubn(1);
} else {
return x.ishrn(bits);
}
};
BN.prototype.ushrn = function ushrn(bits) {
return this.clone().iushrn(bits);
};
// Test if n bit is set
BN.prototype.testn = function testn(bit) {
var r = bit % 26;
var s = (bit - r) / 26;
var q = 1 << r;
// Fast case: bit is much higher than all existing words
if (this.length <= s) {
return false;
}
// Check bit and return
var w = this.words[s];
return !!(w & q);
};
// Add plain number `num` to `this`
BN.prototype.iaddn = function iaddn(num) {
if (num < 0)
return this.isubn(-num);
// Possible sign change
if (this.negative !== 0) {
if (this.length === 1 && (this.words[0] | 0) < num) {
this.words[0] = num - (this.words[0] | 0);
this.negative = 0;
return this;
}
this.negative = 0;
this.isubn(num);
this.negative = 1;
return this;
}
// Add without checks
return this._iaddn(num);
};
BN.prototype._iaddn = function _iaddn(num) {
this.words[0] += num;
// Carry
for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {
this.words[i] -= 0x4000000;
if (i === this.length - 1)
this.words[i + 1] = 1;
else
this.words[i + 1]++;
}
this.length = Math.max(this.length, i + 1);
return this;
};
// Subtract plain number `num` from `this`
BN.prototype.isubn = function isubn(num) {
if (num < 0)
return this.iaddn(-num);
if (this.negative !== 0) {
this.negative = 0;
this.iaddn(num);
this.negative = 1;
return this;
}
this.words[0] -= num;
// Carry
for (var i = 0; i < this.length && this.words[i] < 0; i++) {
this.words[i] += 0x4000000;
this.words[i + 1] -= 1;
}
return this.strip();
};
BN.prototype.addn = function addn(num) {
return this.clone().iaddn(num);
};
BN.prototype.subn = function subn(num) {
return this.clone().isubn(num);
};
BN.prototype.iabs = function iabs() {
this.negative = 0;
return this;
};
BN.prototype.abs = function abs() {
return this.clone().iabs();
};
BN.prototype._ishlnsubmul = function _ishlnsubmul(num, mul, shift) {
// Bigger storage is needed
var len = num.length + shift;
var i;
if (this.words.length < len) {
var t = new Array(len);
for (var i = 0; i < this.length; i++)
t[i] = this.words[i];
this.words = t;
} else {
i = this.length;
}
// Zeroify rest
this.length = Math.max(this.length, len);
for (; i < this.length; i++)
this.words[i] = 0;
var carry = 0;
for (var i = 0; i < num.length; i++) {
var w = (this.words[i + shift] | 0) + carry;
var right = (num.words[i] | 0) * mul;
w -= right & 0x3ffffff;
carry = (w >> 26) - ((right / 0x4000000) | 0);
this.words[i + shift] = w & 0x3ffffff;
}
for (; i < this.length - shift; i++) {
var w = (this.words[i + shift] | 0) + carry;
carry = w >> 26;
this.words[i + shift] = w & 0x3ffffff;
}
if (carry === 0)
return this.strip();
carry = 0;
for (var i = 0; i < this.length; i++) {
var w = -(this.words[i] | 0) + carry;
carry = w >> 26;
this.words[i] = w & 0x3ffffff;
}
this.negative = 1;
return this.strip();
};
BN.prototype._wordDiv = function _wordDiv(num, mode) {
var shift = this.length - num.length;
var a = this.clone();
var b = num;
// Normalize
var bhi = b.words[b.length - 1] | 0;
var bhiBits = this._countBits(bhi);
shift = 26 - bhiBits;
if (shift !== 0) {
b = b.ushln(shift);
a.iushln(shift);
bhi = b.words[b.length - 1] | 0;
}
// Initialize quotient
var m = a.length - b.length;
var q;
if (mode !== 'mod') {
q = new BN(null);
q.length = m + 1;
q.words = new Array(q.length);
for (var i = 0; i < q.length; i++)
q.words[i] = 0;
}
var diff = a.clone()._ishlnsubmul(b, 1, m);
if (diff.negative === 0) {
a = diff;
if (q)
q.words[m] = 1;
}
for (var j = m - 1; j >= 0; j--) {
var qj = (a.words[b.length + j] | 0) * 0x4000000 +
(a.words[b.length + j - 1] | 0);
// NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max
// (0x7ffffff)
qj = Math.min((qj / bhi) | 0, 0x3ffffff);
a._ishlnsubmul(b, qj, j);
while (a.negative !== 0) {
qj--;
a.negative = 0;
a._ishlnsubmul(b, 1, j);
if (a.cmpn(0) !== 0)
a.negative ^= 1;
}
if (q)
q.words[j] = qj;
}
if (q)
q.strip();
a.strip();
// Denormalize
if (mode !== 'div' && shift !== 0)
a.iushrn(shift);
return { div: q ? q : null, mod: a };
};
BN.prototype.divmod = function divmod(num, mode, positive) {
if (this.negative !== 0 && num.negative === 0) {
var res = this.neg().divmod(num, mode);
var div;
var mod;
if (mode !== 'mod')
div = res.div.neg();
if (mode !== 'div') {
mod = res.mod.neg();
if (positive && mod.neg)
mod = mod.add(num);
}
return {
div: div,
mod: mod
};
} else if (this.negative === 0 && num.negative !== 0) {
var res = this.divmod(num.neg(), mode);
var div;
if (mode !== 'mod')
div = res.div.neg();
return { div: div, mod: res.mod };
} else if ((this.negative & num.negative) !== 0) {
var res = this.neg().divmod(num.neg(), mode);
var mod;
if (mode !== 'div') {
mod = res.mod.neg();
if (positive && mod.neg)
mod = mod.isub(num);
}
return {
div: res.div,
mod: mod
};
}
// Both numbers are positive at this point
// Strip both numbers to approximate shift value
if (num.length > this.length || this.cmp(num) < 0)
return { div: new BN(0), mod: this };
// Very short reduction
if (num.length === 1) {
if (mode === 'div')
return { div: this.divn(num.words[0]), mod: null };
else if (mode === 'mod')
return { div: null, mod: new BN(this.modn(num.words[0])) };
return {
div: this.divn(num.words[0]),
mod: new BN(this.modn(num.words[0]))
};
}
return this._wordDiv(num, mode);
};
// Find `this` / `num`
BN.prototype.div = function div(num) {
return this.divmod(num, 'div', false).div;
};
// Find `this` % `num`
BN.prototype.mod = function mod(num) {
return this.divmod(num, 'mod', false).mod;
};
BN.prototype.umod = function umod(num) {
return this.divmod(num, 'mod', true).mod;
};
// Find Round(`this` / `num`)
BN.prototype.divRound = function divRound(num) {
var dm = this.divmod(num);
// Fast case - exact division
if (dm.mod.cmpn(0) === 0)
return dm.div;
var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;
var half = num.ushrn(1);
var r2 = num.andln(1);
var cmp = mod.cmp(half);
// Round down
if (cmp < 0 || r2 === 1 && cmp === 0)
return dm.div;
// Round up
return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);
};
BN.prototype.modn = function modn(num) {
var p = (1 << 26) % num;
var acc = 0;
for (var i = this.length - 1; i >= 0; i--)
acc = (p * acc + (this.words[i] | 0)) % num;
return acc;
};
// In-place division by number
BN.prototype.idivn = function idivn(num) {
var carry = 0;
for (var i = this.length - 1; i >= 0; i--) {
var w = (this.words[i] | 0) + carry * 0x4000000;
this.words[i] = (w / num) | 0;
carry = w % num;
}
return this.strip();
};
BN.prototype.divn = function divn(num) {
return this.clone().idivn(num);
};
BN.prototype.isEven = function isEven() {
return (this.words[0] & 1) === 0;
};
BN.prototype.isOdd = function isOdd() {
return (this.words[0] & 1) === 1;
};
// And first word and num
BN.prototype.andln = function andln(num) {
return this.words[0] & num;
};
BN.prototype.cmpn = function cmpn(num) {
var negative = num < 0;
if (negative)
num = -num;
if (this.negative !== 0 && !negative)
return -1;
else if (this.negative === 0 && negative)
return 1;
num &= 0x3ffffff;
this.strip();
var res;
if (this.length > 1) {
res = 1;
} else {
var w = this.words[0] | 0;
res = w === num ? 0 : w < num ? -1 : 1;
}
if (this.negative !== 0)
res = -res;
return res;
};
// Compare two numbers and return:
// 1 - if `this` > `num`
// 0 - if `this` == `num`
// -1 - if `this` < `num`
BN.prototype.cmp = function cmp(num) {
if (this.negative !== 0 && num.negative === 0)
return -1;
else if (this.negative === 0 && num.negative !== 0)
return 1;
var res = this.ucmp(num);
if (this.negative !== 0)
return -res;
else
return res;
};
// Unsigned comparison
BN.prototype.ucmp = function ucmp(num) {
// At this point both numbers have the same sign
if (this.length > num.length)
return 1;
else if (this.length < num.length)
return -1;
var res = 0;
for (var i = this.length - 1; i >= 0; i--) {
var a = this.words[i] | 0;
var b = num.words[i] | 0;
if (a === b)
continue;
if (a < b)
res = -1;
else if (a > b)
res = 1;
break;
}
return res;
};
})(undefined, __bn);