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authorGravatar Piotr Russ <mail@pruss.it> 2020-11-16 00:10:28 +0100
committerGravatar Piotr Russ <mail@pruss.it> 2020-11-16 00:10:28 +0100
commite06ec920f7a5d784e674c4c4b4e6d1da3dc7391d (patch)
tree55713f725f77b44ebfec86e4eec3ce33e71458ca /node_modules/diffie-hellman
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api, login, auth
Diffstat (limited to 'node_modules/diffie-hellman')
-rw-r--r--node_modules/diffie-hellman/.travis.yml10
-rw-r--r--node_modules/diffie-hellman/LICENSE19
-rw-r--r--node_modules/diffie-hellman/browser.js42
-rw-r--r--node_modules/diffie-hellman/index.js10
-rw-r--r--node_modules/diffie-hellman/lib/dh.js164
-rw-r--r--node_modules/diffie-hellman/lib/generatePrime.js105
-rw-r--r--node_modules/diffie-hellman/lib/primes.json34
-rw-r--r--node_modules/diffie-hellman/node_modules/bn.js/README.md221
-rw-r--r--node_modules/diffie-hellman/node_modules/bn.js/lib/bn.js3433
-rw-r--r--node_modules/diffie-hellman/node_modules/bn.js/package.json64
-rw-r--r--node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo.js65
-rw-r--r--node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo10.js65
-rw-r--r--node_modules/diffie-hellman/package.json62
-rw-r--r--node_modules/diffie-hellman/readme.md4
14 files changed, 4298 insertions, 0 deletions
diff --git a/node_modules/diffie-hellman/.travis.yml b/node_modules/diffie-hellman/.travis.yml
new file mode 100644
index 0000000..0dda273
--- /dev/null
+++ b/node_modules/diffie-hellman/.travis.yml
@@ -0,0 +1,10 @@
+language: node_js
+node_js:
+ - "0.11"
+ - "0.10"
+ - "0.12"
+ - "1"
+ - "2"
+ - "3"
+ - "4"
+sudo: false
diff --git a/node_modules/diffie-hellman/LICENSE b/node_modules/diffie-hellman/LICENSE
new file mode 100644
index 0000000..c9ddc0f
--- /dev/null
+++ b/node_modules/diffie-hellman/LICENSE
@@ -0,0 +1,19 @@
+Copyright (c) 2017 Calvin Metcalf
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
diff --git a/node_modules/diffie-hellman/browser.js b/node_modules/diffie-hellman/browser.js
new file mode 100644
index 0000000..d4be92b
--- /dev/null
+++ b/node_modules/diffie-hellman/browser.js
@@ -0,0 +1,42 @@
+var generatePrime = require('./lib/generatePrime')
+var primes = require('./lib/primes.json')
+
+var DH = require('./lib/dh')
+
+function getDiffieHellman (mod) {
+ var prime = new Buffer(primes[mod].prime, 'hex')
+ var gen = new Buffer(primes[mod].gen, 'hex')
+
+ return new DH(prime, gen)
+}
+
+var ENCODINGS = {
+ 'binary': true, 'hex': true, 'base64': true
+}
+
+function createDiffieHellman (prime, enc, generator, genc) {
+ if (Buffer.isBuffer(enc) || ENCODINGS[enc] === undefined) {
+ return createDiffieHellman(prime, 'binary', enc, generator)
+ }
+
+ enc = enc || 'binary'
+ genc = genc || 'binary'
+ generator = generator || new Buffer([2])
+
+ if (!Buffer.isBuffer(generator)) {
+ generator = new Buffer(generator, genc)
+ }
+
+ if (typeof prime === 'number') {
+ return new DH(generatePrime(prime, generator), generator, true)
+ }
+
+ if (!Buffer.isBuffer(prime)) {
+ prime = new Buffer(prime, enc)
+ }
+
+ return new DH(prime, generator, true)
+}
+
+exports.DiffieHellmanGroup = exports.createDiffieHellmanGroup = exports.getDiffieHellman = getDiffieHellman
+exports.createDiffieHellman = exports.DiffieHellman = createDiffieHellman
diff --git a/node_modules/diffie-hellman/index.js b/node_modules/diffie-hellman/index.js
new file mode 100644
index 0000000..ab7c40f
--- /dev/null
+++ b/node_modules/diffie-hellman/index.js
@@ -0,0 +1,10 @@
+var crypto = require('crypto')
+
+// getDiffieHellman
+exports.DiffieHellmanGroup = crypto.DiffieHellmanGroup
+exports.createDiffieHellmanGroup = crypto.createDiffieHellmanGroup
+exports.getDiffieHellman = crypto.getDiffieHellman
+
+// createDiffieHellman
+exports.createDiffieHellman = crypto.createDiffieHellman
+exports.DiffieHellman = crypto.DiffieHellman
diff --git a/node_modules/diffie-hellman/lib/dh.js b/node_modules/diffie-hellman/lib/dh.js
new file mode 100644
index 0000000..0650f65
--- /dev/null
+++ b/node_modules/diffie-hellman/lib/dh.js
@@ -0,0 +1,164 @@
+var BN = require('bn.js');
+var MillerRabin = require('miller-rabin');
+var millerRabin = new MillerRabin();
+var TWENTYFOUR = new BN(24);
+var ELEVEN = new BN(11);
+var TEN = new BN(10);
+var THREE = new BN(3);
+var SEVEN = new BN(7);
+var primes = require('./generatePrime');
+var randomBytes = require('randombytes');
+module.exports = DH;
+
+function setPublicKey(pub, enc) {
+ enc = enc || 'utf8';
+ if (!Buffer.isBuffer(pub)) {
+ pub = new Buffer(pub, enc);
+ }
+ this._pub = new BN(pub);
+ return this;
+}
+
+function setPrivateKey(priv, enc) {
+ enc = enc || 'utf8';
+ if (!Buffer.isBuffer(priv)) {
+ priv = new Buffer(priv, enc);
+ }
+ this._priv = new BN(priv);
+ return this;
+}
+
+var primeCache = {};
+function checkPrime(prime, generator) {
+ var gen = generator.toString('hex');
+ var hex = [gen, prime.toString(16)].join('_');
+ if (hex in primeCache) {
+ return primeCache[hex];
+ }
+ var error = 0;
+
+ if (prime.isEven() ||
+ !primes.simpleSieve ||
+ !primes.fermatTest(prime) ||
+ !millerRabin.test(prime)) {
+ //not a prime so +1
+ error += 1;
+
+ if (gen === '02' || gen === '05') {
+ // we'd be able to check the generator
+ // it would fail so +8
+ error += 8;
+ } else {
+ //we wouldn't be able to test the generator
+ // so +4
+ error += 4;
+ }
+ primeCache[hex] = error;
+ return error;
+ }
+ if (!millerRabin.test(prime.shrn(1))) {
+ //not a safe prime
+ error += 2;
+ }
+ var rem;
+ switch (gen) {
+ case '02':
+ if (prime.mod(TWENTYFOUR).cmp(ELEVEN)) {
+ // unsuidable generator
+ error += 8;
+ }
+ break;
+ case '05':
+ rem = prime.mod(TEN);
+ if (rem.cmp(THREE) && rem.cmp(SEVEN)) {
+ // prime mod 10 needs to equal 3 or 7
+ error += 8;
+ }
+ break;
+ default:
+ error += 4;
+ }
+ primeCache[hex] = error;
+ return error;
+}
+
+function DH(prime, generator, malleable) {
+ this.setGenerator(generator);
+ this.__prime = new BN(prime);
+ this._prime = BN.mont(this.__prime);
+ this._primeLen = prime.length;
+ this._pub = undefined;
+ this._priv = undefined;
+ this._primeCode = undefined;
+ if (malleable) {
+ this.setPublicKey = setPublicKey;
+ this.setPrivateKey = setPrivateKey;
+ } else {
+ this._primeCode = 8;
+ }
+}
+Object.defineProperty(DH.prototype, 'verifyError', {
+ enumerable: true,
+ get: function () {
+ if (typeof this._primeCode !== 'number') {
+ this._primeCode = checkPrime(this.__prime, this.__gen);
+ }
+ return this._primeCode;
+ }
+});
+DH.prototype.generateKeys = function () {
+ if (!this._priv) {
+ this._priv = new BN(randomBytes(this._primeLen));
+ }
+ this._pub = this._gen.toRed(this._prime).redPow(this._priv).fromRed();
+ return this.getPublicKey();
+};
+
+DH.prototype.computeSecret = function (other) {
+ other = new BN(other);
+ other = other.toRed(this._prime);
+ var secret = other.redPow(this._priv).fromRed();
+ var out = new Buffer(secret.toArray());
+ var prime = this.getPrime();
+ if (out.length < prime.length) {
+ var front = new Buffer(prime.length - out.length);
+ front.fill(0);
+ out = Buffer.concat([front, out]);
+ }
+ return out;
+};
+
+DH.prototype.getPublicKey = function getPublicKey(enc) {
+ return formatReturnValue(this._pub, enc);
+};
+
+DH.prototype.getPrivateKey = function getPrivateKey(enc) {
+ return formatReturnValue(this._priv, enc);
+};
+
+DH.prototype.getPrime = function (enc) {
+ return formatReturnValue(this.__prime, enc);
+};
+
+DH.prototype.getGenerator = function (enc) {
+ return formatReturnValue(this._gen, enc);
+};
+
+DH.prototype.setGenerator = function (gen, enc) {
+ enc = enc || 'utf8';
+ if (!Buffer.isBuffer(gen)) {
+ gen = new Buffer(gen, enc);
+ }
+ this.__gen = gen;
+ this._gen = new BN(gen);
+ return this;
+};
+
+function formatReturnValue(bn, enc) {
+ var buf = new Buffer(bn.toArray());
+ if (!enc) {
+ return buf;
+ } else {
+ return buf.toString(enc);
+ }
+}
diff --git a/node_modules/diffie-hellman/lib/generatePrime.js b/node_modules/diffie-hellman/lib/generatePrime.js
new file mode 100644
index 0000000..32e053c
--- /dev/null
+++ b/node_modules/diffie-hellman/lib/generatePrime.js
@@ -0,0 +1,105 @@
+var randomBytes = require('randombytes');
+module.exports = findPrime;
+findPrime.simpleSieve = simpleSieve;
+findPrime.fermatTest = fermatTest;
+var BN = require('bn.js');
+var TWENTYFOUR = new BN(24);
+var MillerRabin = require('miller-rabin');
+var millerRabin = new MillerRabin();
+var ONE = new BN(1);
+var TWO = new BN(2);
+var FIVE = new BN(5);
+var SIXTEEN = new BN(16);
+var EIGHT = new BN(8);
+var TEN = new BN(10);
+var THREE = new BN(3);
+var SEVEN = new BN(7);
+var ELEVEN = new BN(11);
+var FOUR = new BN(4);
+var TWELVE = new BN(12);
+var primes = null;
+
+function _getPrimes() {
+ if (primes !== null)
+ return primes;
+
+ var limit = 0x100000;
+ var res = [];
+ res[0] = 2;
+ for (var i = 1, k = 3; k < limit; k += 2) {
+ var sqrt = Math.ceil(Math.sqrt(k));
+ for (var j = 0; j < i && res[j] <= sqrt; j++)
+ if (k % res[j] === 0)
+ break;
+
+ if (i !== j && res[j] <= sqrt)
+ continue;
+
+ res[i++] = k;
+ }
+ primes = res;
+ return res;
+}
+
+function simpleSieve(p) {
+ var primes = _getPrimes();
+
+ for (var i = 0; i < primes.length; i++)
+ if (p.modn(primes[i]) === 0) {
+ if (p.cmpn(primes[i]) === 0) {
+ return true;
+ } else {
+ return false;
+ }
+ }
+
+ return true;
+}
+
+function fermatTest(p) {
+ var red = BN.mont(p);
+ return TWO.toRed(red).redPow(p.subn(1)).fromRed().cmpn(1) === 0;
+}
+
+function findPrime(bits, gen) {
+ if (bits < 16) {
+ // this is what openssl does
+ if (gen === 2 || gen === 5) {
+ return new BN([0x8c, 0x7b]);
+ } else {
+ return new BN([0x8c, 0x27]);
+ }
+ }
+ gen = new BN(gen);
+
+ var num, n2;
+
+ while (true) {
+ num = new BN(randomBytes(Math.ceil(bits / 8)));
+ while (num.bitLength() > bits) {
+ num.ishrn(1);
+ }
+ if (num.isEven()) {
+ num.iadd(ONE);
+ }
+ if (!num.testn(1)) {
+ num.iadd(TWO);
+ }
+ if (!gen.cmp(TWO)) {
+ while (num.mod(TWENTYFOUR).cmp(ELEVEN)) {
+ num.iadd(FOUR);
+ }
+ } else if (!gen.cmp(FIVE)) {
+ while (num.mod(TEN).cmp(THREE)) {
+ num.iadd(FOUR);
+ }
+ }
+ n2 = num.shrn(1);
+ if (simpleSieve(n2) && simpleSieve(num) &&
+ fermatTest(n2) && fermatTest(num) &&
+ millerRabin.test(n2) && millerRabin.test(num)) {
+ return num;
+ }
+ }
+
+}
diff --git a/node_modules/diffie-hellman/lib/primes.json b/node_modules/diffie-hellman/lib/primes.json
new file mode 100644
index 0000000..9fef6c9
--- /dev/null
+++ b/node_modules/diffie-hellman/lib/primes.json
@@ -0,0 +1,34 @@
+{
+ "modp1": {
+ "gen": "02",
+ "prime": "ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec6f44c42e9a63a3620ffffffffffffffff"
+ },
+ "modp2": {
+ "gen": "02",
+ "prime": "ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f24117c4b1fe649286651ece65381ffffffffffffffff"
+ },
+ "modp5": {
+ "gen": "02",
+ "prime": "ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552bb9ed529077096966d670c354e4abc9804f1746c08ca237327ffffffffffffffff"
+ },
+ "modp14": {
+ "gen": "02",
+ "prime": "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"
+ },
+ "modp15": {
+ "gen": "02",
+ "prime": "ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552bb9ed529077096966d670c354e4abc9804f1746c08ca18217c32905e462e36ce3be39e772c180e86039b2783a2ec07a28fb5c55df06f4c52c9de2bcbf6955817183995497cea956ae515d2261898fa051015728e5a8aaac42dad33170d04507a33a85521abdf1cba64ecfb850458dbef0a8aea71575d060c7db3970f85a6e1e4c7abf5ae8cdb0933d71e8c94e04a25619dcee3d2261ad2ee6bf12ffa06d98a0864d87602733ec86a64521f2b18177b200cbbe117577a615d6c770988c0bad946e208e24fa074e5ab3143db5bfce0fd108e4b82d120a93ad2caffffffffffffffff"
+ },
+ "modp16": {
+ "gen": "02",
+ "prime": "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"
+ },
+ "modp17": {
+ "gen": "02",
+ "prime": "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"
+ },
+ "modp18": {
+ "gen": "02",
+ "prime": "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"
+ }
+} \ No newline at end of file
diff --git a/node_modules/diffie-hellman/node_modules/bn.js/README.md b/node_modules/diffie-hellman/node_modules/bn.js/README.md
new file mode 100644
index 0000000..370f06d
--- /dev/null
+++ b/node_modules/diffie-hellman/node_modules/bn.js/README.md
@@ -0,0 +1,221 @@
+# <img src="./logo.png" alt="bn.js" width="160" height="160" />
+
+> BigNum in pure javascript
+
+[![Build Status](https://secure.travis-ci.org/indutny/bn.js.png)](http://travis-ci.org/indutny/bn.js)
+
+## Install
+`npm install --save bn.js`
+
+## Usage
+
+```js
+const BN = require('bn.js');
+
+var a = new BN('dead', 16);
+var b = new BN('101010', 2);
+
+var res = a.add(b);
+console.log(res.toString(10)); // 57047
+```
+
+**Note**: decimals are not supported in this library.
+
+## Notation
+
+### Prefixes
+
+There are several prefixes to instructions that affect the way the work. Here
+is the list of them in the order of appearance in the function name:
+
+* `i` - perform operation in-place, storing the result in the host object (on
+ which the method was invoked). Might be used to avoid number allocation costs
+* `u` - unsigned, ignore the sign of operands when performing operation, or
+ always return positive value. Second case applies to reduction operations
+ like `mod()`. In such cases if the result will be negative - modulo will be
+ added to the result to make it positive
+
+### Postfixes
+
+The only available postfix at the moment is:
+
+* `n` - which means that the argument of the function must be a plain JavaScript
+ Number. Decimals are not supported.
+
+### Examples
+
+* `a.iadd(b)` - perform addition on `a` and `b`, storing the result in `a`
+* `a.umod(b)` - reduce `a` modulo `b`, returning positive value
+* `a.iushln(13)` - shift bits of `a` left by 13
+
+## Instructions
+
+Prefixes/postfixes are put in parens at the of the line. `endian` - could be
+either `le` (little-endian) or `be` (big-endian).
+
+### Utilities
+
+* `a.clone()` - clone number
+* `a.toString(base, length)` - convert to base-string and pad with zeroes
+* `a.toNumber()` - convert to Javascript Number (limited to 53 bits)
+* `a.toJSON()` - convert to JSON compatible hex string (alias of `toString(16)`)
+* `a.toArray(endian, length)` - convert to byte `Array`, and optionally zero
+ pad to length, throwing if already exceeding
+* `a.toArrayLike(type, endian, length)` - convert to an instance of `type`,
+ which must behave like an `Array`
+* `a.toBuffer(endian, length)` - convert to Node.js Buffer (if available). For
+ compatibility with browserify and similar tools, use this instead:
+ `a.toArrayLike(Buffer, endian, length)`
+* `a.bitLength()` - get number of bits occupied
+* `a.zeroBits()` - return number of less-significant consequent zero bits
+ (example: `1010000` has 4 zero bits)
+* `a.byteLength()` - return number of bytes occupied
+* `a.isNeg()` - true if the number is negative
+* `a.isEven()` - no comments
+* `a.isOdd()` - no comments
+* `a.isZero()` - no comments
+* `a.cmp(b)` - compare numbers and return `-1` (a `<` b), `0` (a `==` b), or `1` (a `>` b)
+ depending on the comparison result (`ucmp`, `cmpn`)
+* `a.lt(b)` - `a` less than `b` (`n`)
+* `a.lte(b)` - `a` less than or equals `b` (`n`)
+* `a.gt(b)` - `a` greater than `b` (`n`)
+* `a.gte(b)` - `a` greater than or equals `b` (`n`)
+* `a.eq(b)` - `a` equals `b` (`n`)
+* `a.toTwos(width)` - convert to two's complement representation, where `width` is bit width
+* `a.fromTwos(width)` - convert from two's complement representation, where `width` is the bit width
+* `BN.isBN(object)` - returns true if the supplied `object` is a BN.js instance
+
+### Arithmetics
+
+* `a.neg()` - negate sign (`i`)
+* `a.abs()` - absolute value (`i`)
+* `a.add(b)` - addition (`i`, `n`, `in`)
+* `a.sub(b)` - subtraction (`i`, `n`, `in`)
+* `a.mul(b)` - multiply (`i`, `n`, `in`)
+* `a.sqr()` - square (`i`)
+* `a.pow(b)` - raise `a` to the power of `b`
+* `a.div(b)` - divide (`divn`, `idivn`)
+* `a.mod(b)` - reduct (`u`, `n`) (but no `umodn`)
+* `a.divRound(b)` - rounded division
+
+### Bit operations
+
+* `a.or(b)` - or (`i`, `u`, `iu`)
+* `a.and(b)` - and (`i`, `u`, `iu`, `andln`) (NOTE: `andln` is going to be replaced
+ with `andn` in future)
+* `a.xor(b)` - xor (`i`, `u`, `iu`)
+* `a.setn(b)` - set specified bit to `1`
+* `a.shln(b)` - shift left (`i`, `u`, `iu`)
+* `a.shrn(b)` - shift right (`i`, `u`, `iu`)
+* `a.testn(b)` - test if specified bit is set
+* `a.maskn(b)` - clear bits with indexes higher or equal to `b` (`i`)
+* `a.bincn(b)` - add `1 << b` to the number
+* `a.notn(w)` - not (for the width specified by `w`) (`i`)
+
+### Reduction
+
+* `a.gcd(b)` - GCD
+* `a.egcd(b)` - Extended GCD results (`{ a: ..., b: ..., gcd: ... }`)
+* `a.invm(b)` - inverse `a` modulo `b`
+
+## Fast reduction
+
+When doing lots of reductions using the same modulo, it might be beneficial to
+use some tricks: like [Montgomery multiplication][0], or using special algorithm
+for [Mersenne Prime][1].
+
+### Reduction context
+
+To enable this tricks one should create a reduction context:
+
+```js
+var red = BN.red(num);
+```
+where `num` is just a BN instance.
+
+Or:
+
+```js
+var red = BN.red(primeName);
+```
+
+Where `primeName` is either of these [Mersenne Primes][1]:
+
+* `'k256'`
+* `'p224'`
+* `'p192'`
+* `'p25519'`
+
+Or:
+
+```js
+var red = BN.mont(num);
+```
+
+To reduce numbers with [Montgomery trick][0]. `.mont()` is generally faster than
+`.red(num)`, but slower than `BN.red(primeName)`.
+
+### Converting numbers
+
+Before performing anything in reduction context - numbers should be converted
+to it. Usually, this means that one should:
+
+* Convert inputs to reducted ones
+* Operate on them in reduction context
+* Convert outputs back from the reduction context
+
+Here is how one may convert numbers to `red`:
+
+```js
+var redA = a.toRed(red);
+```
+Where `red` is a reduction context created using instructions above
+
+Here is how to convert them back:
+
+```js
+var a = redA.fromRed();
+```
+
+### Red instructions
+
+Most of the instructions from the very start of this readme have their
+counterparts in red context:
+
+* `a.redAdd(b)`, `a.redIAdd(b)`
+* `a.redSub(b)`, `a.redISub(b)`
+* `a.redShl(num)`
+* `a.redMul(b)`, `a.redIMul(b)`
+* `a.redSqr()`, `a.redISqr()`
+* `a.redSqrt()` - square root modulo reduction context's prime
+* `a.redInvm()` - modular inverse of the number
+* `a.redNeg()`
+* `a.redPow(b)` - modular exponentiation
+
+## LICENSE
+
+This software is licensed under the MIT License.
+
+Copyright Fedor Indutny, 2015.
+
+Permission is hereby granted, free of charge, to any person obtaining a
+copy of this software and associated documentation files (the
+"Software"), to deal in the Software without restriction, including
+without limitation the rights to use, copy, modify, merge, publish,
+distribute, sublicense, and/or sell copies of the Software, and to permit
+persons to whom the Software is furnished to do so, subject to the
+following conditions:
+
+The above copyright notice and this permission notice shall be included
+in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
+NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
+DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
+OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
+USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+[0]: https://en.wikipedia.org/wiki/Montgomery_modular_multiplication
+[1]: https://en.wikipedia.org/wiki/Mersenne_prime
diff --git a/node_modules/diffie-hellman/node_modules/bn.js/lib/bn.js b/node_modules/diffie-hellman/node_modules/bn.js/lib/bn.js
new file mode 100644
index 0000000..855dfa6
--- /dev/null
+++ b/node_modules/diffie-hellman/node_modules/bn.js/lib/bn.js
@@ -0,0 +1,3433 @@
+(function (module, exports) {
+ 'use strict';
+
+ // Utils
+ function assert (val, msg) {
+ if (!val) throw new Error(msg || 'Assertion failed');
+ }
+
+ // Could use `inherits` module, but don't want to move from single file
+ // architecture yet.
+ function inherits (ctor, superCtor) {
+ ctor.super_ = superCtor;
+ var TempCtor = function () {};
+ TempCtor.prototype = superCtor.prototype;
+ ctor.prototype = new TempCtor();
+ ctor.prototype.constructor = ctor;
+ }
+
+ // BN
+
+ function BN (number, base, endian) {
+ if (BN.isBN(number)) {
+ return number;
+ }
+
+ this.negative = 0;
+ this.words = null;
+ this.length = 0;
+
+ // Reduction context
+ this.red = null;
+
+ if (number !== null) {
+ if (base === 'le' || base === 'be') {
+ endian = base;
+ base = 10;
+ }
+
+ 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;
+
+ var Buffer;
+ try {
+ Buffer = require('buffer').Buffer;
+ } catch (e) {
+ }
+
+ BN.isBN = function isBN (num) {
+ if (num instanceof BN) {
+ return true;
+ }
+
+ return num !== null && typeof num === 'object' &&
+ num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);
+ };
+
+ BN.max = function max (left, right) {
+ if (left.cmp(right) > 0) return left;
+ return right;
+ };
+
+ BN.min = function min (left, right) {
+ if (left.cmp(right) < 0) return left;
+ return right;
+ };
+
+ BN.prototype._init = function init (number, base, endian) {
+ if (typeof number === 'number') {
+ return this._initNumber(number, base, endian);
+ }
+
+ if (typeof number === 'object') {
+ return this._initArray(number, base, endian);
+ }
+
+ if (base === 'hex') {
+ base = 16;
+ }
+ assert(base === (base | 0) && base >= 2 && base <= 36);
+
+ 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 {
+ assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)
+ 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) {
+ // Perhaps a Uint8Array
+ assert(typeof number.length === 'number');
+ 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 j, w;
+ var off = 0;
+ if (endian === 'be') {
+ for (i = number.length - 1, j = 0; i >= 0; i -= 3) {
+ 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 (i = 0, j = 0; i < number.length; i += 3) {
+ 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;
+ }
+
+ var j, w;
+ // Scan 24-bit chunks and add them to the number
+ var off = 0;
+ for (i = number.length - 6, j = 0; i >= start; i -= 6) {
+ w = parseHex(number, i, i + 6);
+ this.words[j] |= (w << off) & 0x3ffffff;
+ // NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb
+ this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
+ off += 24;
+ if (off >= 26) {
+ off -= 26;
+ j++;
+ }
+ }
+ if (i + 6 !== start) {
+ 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;
+ word = parseBase(number, i, number.length, base);
+
+ for (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;
+ dest.red = this.red;
+ };
+
+ BN.prototype.clone = function clone () {
+ var r = new BN(null);
+ this.copy(r);
+ return r;
+ };
+
+ BN.prototype._expand = function _expand (size) {
+ while (this.length < size) {
+ this.words[this.length++] = 0;
+ }
+ return this;
+ };
+
+ // 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;
+ };
+
+ BN.prototype.inspect = function inspect () {
+ return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';
+ };
+
+ /*
+
+ var zeros = [];
+ var groupSizes = [];
+ var groupBases = [];
+
+ var s = '';
+ var i = -1;
+ while (++i < BN.wordSize) {
+ zeros[i] = s;
+ s += '0';
+ }
+ groupSizes[0] = 0;
+ groupSizes[1] = 0;
+ groupBases[0] = 0;
+ groupBases[1] = 0;
+ var base = 2 - 1;
+ while (++base < 36 + 1) {
+ var groupSize = 0;
+ var groupBase = 1;
+ while (groupBase < (1 << BN.wordSize) / base) {
+ groupBase *= base;
+ groupSize += 1;
+ }
+ groupSizes[base] = groupSize;
+ groupBases[base] = groupBase;
+ }
+
+ */
+
+ 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;
+ padding = padding | 0 || 1;
+
+ var out;
+ if (base === 16 || base === 'hex') {
+ 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;
+ }
+
+ if (base === (base | 0) && base >= 2 && base <= 36) {
+ // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));
+ var groupSize = groupSizes[base];
+ // var groupBase = Math.pow(base, groupSize);
+ var groupBase = groupBases[base];
+ out = '';
+ var c = this.clone();
+ c.negative = 0;
+ while (!c.isZero()) {
+ var r = c.modn(groupBase).toString(base);
+ c = c.idivn(groupBase);
+
+ if (!c.isZero()) {
+ out = zeros[groupSize - r.length] + r + out;
+ } else {
+ out = r + out;
+ }
+ }
+ if (this.isZero()) {
+ out = '0' + out;
+ }
+ while (out.length % padding !== 0) {
+ out = '0' + out;
+ }
+ if (this.negative !== 0) {
+ out = '-' + out;
+ }
+ return out;
+ }
+
+ assert(false, 'Base should be between 2 and 36');
+ };
+
+ BN.prototype.toNumber = function toNumber () {
+ var ret = this.words[0];
+ if (this.length === 2) {
+ ret += this.words[1] * 0x4000000;
+ } else if (this.length === 3 && this.words[2] === 0x01) {
+ // NOTE: at this stage it is known that the top bit is set
+ ret += 0x10000000000000 + (this.words[1] * 0x4000000);
+ } else if (this.length > 2) {
+ assert(false, 'Number can only safely store up to 53 bits');
+ }
+ return (this.negative !== 0) ? -ret : ret;
+ };
+
+ BN.prototype.toJSON = function toJSON () {
+ return this.toString(16);
+ };
+
+ BN.prototype.toBuffer = function toBuffer (endian, length) {
+ assert(typeof Buffer !== 'undefined');
+ return this.toArrayLike(Buffer, endian, length);
+ };
+
+ BN.prototype.toArray = function toArray (endian, length) {
+ return this.toArrayLike(Array, endian, length);
+ };
+
+ BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {
+ var byteLength = this.byteLength();
+ var reqLength = length || Math.max(1, byteLength);
+ assert(byteLength <= reqLength, 'byte array longer than desired length');
+ assert(reqLength > 0, 'Requested array length <= 0');
+
+ this.strip();
+ var littleEndian = endian === 'le';
+ var res = new ArrayType(reqLength);
+
+ var b, i;
+ var q = this.clone();
+ if (!littleEndian) {
+ // Assume big-endian
+ for (i = 0; i < reqLength - byteLength; i++) {
+ res[i] = 0;
+ }
+
+ for (i = 0; !q.isZero(); i++) {
+ b = q.andln(0xff);
+ q.iushrn(8);
+
+ res[reqLength - i - 1] = b;
+ }
+ } else {
+ for (i = 0; !q.isZero(); i++) {
+ b = q.andln(0xff);
+ q.iushrn(8);
+
+ res[i] = b;
+ }
+
+ for (; i < reqLength; i++) {
+ res[i] = 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;
+ };
+ }
+
+ BN.prototype._zeroBits = function _zeroBits (w) {
+ // Short-cut
+ if (w === 0) return 26;
+
+ var t = w;
+ var r = 0;
+ if ((t & 0x1fff) === 0) {
+ r += 13;
+ t >>>= 13;
+ }
+ if ((t & 0x7f) === 0) {
+ r += 7;
+ t >>>= 7;
+ }
+ if ((t & 0xf) === 0) {
+ r += 4;
+ t >>>= 4;
+ }
+ if ((t & 0x3) === 0) {
+ r += 2;
+ t >>>= 2;
+ }
+ if ((t & 0x1) === 0) {
+ r++;
+ }
+ return r;
+ };
+
+ // Return number of used bits in a BN
+ BN.prototype.bitLength = function bitLength () {
+ var w = this.words[this.length - 1];
+ var hi = this._countBits(w);
+ return (this.length - 1) * 26 + hi;
+ };
+
+ function toBitArray (num) {
+ var w = new Array(num.bitLength());
+
+ for (var bit = 0; bit < w.length; bit++) {
+ var off = (bit / 26) | 0;
+ var wbit = bit % 26;
+
+ w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;
+ }
+
+ return w;
+ }
+
+ // Number of trailing zero bits
+ BN.prototype.zeroBits = function zeroBits () {
+ if (this.isZero()) return 0;
+
+ var r = 0;
+ for (var i = 0; i < this.length; i++) {
+ var b = this._zeroBits(this.words[i]);
+ r += b;
+ if (b !== 26) break;
+ }
+ return r;
+ };
+
+ BN.prototype.byteLength = function byteLength () {
+ return Math.ceil(this.bitLength() / 8);
+ };
+
+ BN.prototype.toTwos = function toTwos (width) {
+ if (this.negative !== 0) {
+ return this.abs().inotn(width).iaddn(1);
+ }
+ return this.clone();
+ };
+
+ BN.prototype.fromTwos = function fromTwos (width) {
+ if (this.testn(width - 1)) {
+ return this.notn(width).iaddn(1).ineg();
+ }
+ return this.clone();
+ };
+
+ BN.prototype.isNeg = function isNeg () {
+ return this.negative !== 0;
+ };
+
+ // Return negative clone of `this`
+ BN.prototype.neg = function neg () {
+ return this.clone().ineg();
+ };
+
+ BN.prototype.ineg = function ineg () {
+ if (!this.isZero()) {
+ 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);
+ return num.clone().ior(this);
+ };
+
+ BN.prototype.uor = function uor (num) {
+ if (this.length > num.length) return this.clone().iuor(num);
+ 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);
+ return num.clone().iand(this);
+ };
+
+ BN.prototype.uand = function uand (num) {
+ if (this.length > num.length) return this.clone().iuand(num);
+ 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);
+ return num.clone().ixor(this);
+ };
+
+ BN.prototype.uxor = function uxor (num) {
+ if (this.length > num.length) return this.clone().iuxor(num);
+ return num.clone().iuxor(this);
+ };
+
+ // Not ``this`` with ``width`` bitwidth
+ BN.prototype.inotn = function inotn (width) {
+ assert(typeof width === 'number' && width >= 0);
+
+ var bytesNeeded = Math.ceil(width / 26) | 0;
+ var bitsLeft = width % 26;
+
+ // Extend the buffer with leading zeroes
+ this._expand(bytesNeeded);
+
+ if (bitsLeft > 0) {
+ bytesNeeded--;
+ }
+
+ // Handle complete words
+ for (var i = 0; i < bytesNeeded; i++) {
+ this.words[i] = ~this.words[i] & 0x3ffffff;
+ }
+
+ // Handle the residue
+ if (bitsLeft > 0) {
+ this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));
+ }
+
+ // And remove leading zeroes
+ return this.strip();
+ };
+
+ BN.prototype.notn = function notn (width) {
+ return this.clone().inotn(width);
+ };
+
+ // Set `bit` of `this`
+ BN.prototype.setn = function setn (bit, val) {
+ assert(typeof bit === 'number' && bit >= 0);
+
+ var off = (bit / 26) | 0;
+ var wbit = bit % 26;
+
+ this._expand(off + 1);
+
+ if (val) {
+ this.words[off] = this.words[off] | (1 << wbit);
+ } else {
+ this.words[off] = this.words[off] & ~(1 << wbit);
+ }
+
+ return this.strip();
+ };
+
+ // Add `num` to `this` in-place
+ BN.prototype.iadd = function iadd (num) {
+ var r;
+
+ // negative + positive
+ if (this.negative !== 0 && num.negative === 0) {
+ this.negative = 0;
+ r = this.isub(num);
+ this.negative ^= 1;
+ return this._normSign();
+
+ // positive + negative
+ } else if (this.negative === 0 && num.negative !== 0) {
+ num.negative = 0;
+ r = this.isub(num);
+ num.negative = 1;
+ return r._normSign();
+ }
+
+ // a.length > b.length
+ var a, 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++) {
+ 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++) {
+ 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) {
+ var res;
+ if (num.negative !== 0 && this.negative === 0) {
+ num.negative = 0;
+ res = this.sub(num);
+ num.negative ^= 1;
+ return res;
+ } else if (num.negative === 0 && this.negative !== 0) {
+ this.negative = 0;
+ res = num.sub(this);
+ this.negative = 1;
+ return res;
+ }
+
+ if (this.length > num.length) return this.clone().iadd(num);
+
+ 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, b;
+ if (cmp > 0) {
+ a = this;
+ b = num;
+ } else {
+ a = num;
+ b = this;
+ }
+
+ var carry = 0;
+ for (var i = 0; i < b.length; i++) {
+ 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++) {
+ 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;
+ a = self.words[i] | 0;
+ b = num.words[j] | 0;
+ r = a * b + rword;
+ ncarry += (r / 0x4000000) | 0;
+ rword = r & 0x3ffffff;
+ }
+ out.words[k] = rword | 0;
+ carry = ncarry | 0;
+ }
+ if (carry !== 0) {
+ out.words[k] = carry | 0;
+ } else {
+ out.length--;
+ }
+
+ return out.strip();
+ }
+
+ // TODO(indutny): it may be reasonable to omit it for users who don't need
+ // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit
+ // multiplication (like elliptic secp256k1).
+ var comb10MulTo = function comb10MulTo (self, num, out) {
+ var a = self.words;
+ var b = num.words;
+ var o = out.words;
+ var c = 0;
+ var lo;
+ var mid;
+ var hi;
+ var a0 = a[0] | 0;
+ var al0 = a0 & 0x1fff;
+ var ah0 = a0 >>> 13;
+ var a1 = a[1] | 0;
+ var al1 = a1 & 0x1fff;
+ var ah1 = a1 >>> 13;
+ var a2 = a[2] | 0;
+ var al2 = a2 & 0x1fff;
+ var ah2 = a2 >>> 13;
+ var a3 = a[3] | 0;
+ var al3 = a3 & 0x1fff;
+ var ah3 = a3 >>> 13;
+ var a4 = a[4] | 0;
+ var al4 = a4 & 0x1fff;
+ var ah4 = a4 >>> 13;
+ var a5 = a[5] | 0;
+ var al5 = a5 & 0x1fff;
+ var ah5 = a5 >>> 13;
+ var a6 = a[6] | 0;
+ var al6 = a6 & 0x1fff;
+ var ah6 = a6 >>> 13;
+ var a7 = a[7] | 0;
+ var al7 = a7 & 0x1fff;
+ var ah7 = a7 >>> 13;
+ var a8 = a[8] | 0;
+ var al8 = a8 & 0x1fff;
+ var ah8 = a8 >>> 13;
+ var a9 = a[9] | 0;
+ var al9 = a9 & 0x1fff;
+ var ah9 = a9 >>> 13;
+ var b0 = b[0] | 0;
+ var bl0 = b0 & 0x1fff;
+ var bh0 = b0 >>> 13;
+ var b1 = b[1] | 0;
+ var bl1 = b1 & 0x1fff;
+ var bh1 = b1 >>> 13;
+ var b2 = b[2] | 0;
+ var bl2 = b2 & 0x1fff;
+ var bh2 = b2 >>> 13;
+ var b3 = b[3] | 0;
+ var bl3 = b3 & 0x1fff;
+ var bh3 = b3 >>> 13;
+ var b4 = b[4] | 0;
+ var bl4 = b4 & 0x1fff;
+ var bh4 = b4 >>> 13;
+ var b5 = b[5] | 0;
+ var bl5 = b5 & 0x1fff;
+ var bh5 = b5 >>> 13;
+ var b6 = b[6] | 0;
+ var bl6 = b6 & 0x1fff;
+ var bh6 = b6 >>> 13;
+ var b7 = b[7] | 0;
+ var bl7 = b7 & 0x1fff;
+ var bh7 = b7 >>> 13;
+ var b8 = b[8] | 0;
+ var bl8 = b8 & 0x1fff;
+ var bh8 = b8 >>> 13;
+ var b9 = b[9] | 0;
+ var bl9 = b9 & 0x1fff;
+ var bh9 = b9 >>> 13;
+
+ out.negative = self.negative ^ num.negative;
+ out.length = 19;
+ /* k = 0 */
+ lo = Math.imul(al0, bl0);
+ mid = Math.imul(al0, bh0);
+ mid = (mid + Math.imul(ah0, bl0)) | 0;
+ hi = Math.imul(ah0, bh0);
+ var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;
+ w0 &= 0x3ffffff;
+ /* k = 1 */
+ lo = Math.imul(al1, bl0);
+ mid = Math.imul(al1, bh0);
+ mid = (mid + Math.imul(ah1, bl0)) | 0;
+ hi = Math.imul(ah1, bh0);
+ lo = (lo + Math.imul(al0, bl1)) | 0;
+ mid = (mid + Math.imul(al0, bh1)) | 0;
+ mid = (mid + Math.imul(ah0, bl1)) | 0;
+ hi = (hi + Math.imul(ah0, bh1)) | 0;
+ var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;
+ w1 &= 0x3ffffff;
+ /* k = 2 */
+ lo = Math.imul(al2, bl0);
+ mid = Math.imul(al2, bh0);
+ mid = (mid + Math.imul(ah2, bl0)) | 0;
+ hi = Math.imul(ah2, bh0);
+ lo = (lo + Math.imul(al1, bl1)) | 0;
+ mid = (mid + Math.imul(al1, bh1)) | 0;
+ mid = (mid + Math.imul(ah1, bl1)) | 0;
+ hi = (hi + Math.imul(ah1, bh1)) | 0;
+ lo = (lo + Math.imul(al0, bl2)) | 0;
+ mid = (mid + Math.imul(al0, bh2)) | 0;
+ mid = (mid + Math.imul(ah0, bl2)) | 0;
+ hi = (hi + Math.imul(ah0, bh2)) | 0;
+ var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;
+ w2 &= 0x3ffffff;
+ /* k = 3 */
+ lo = Math.imul(al3, bl0);
+ mid = Math.imul(al3, bh0);
+ mid = (mid + Math.imul(ah3, bl0)) | 0;
+ hi = Math.imul(ah3, bh0);
+ lo = (lo + Math.imul(al2, bl1)) | 0;
+ mid = (mid + Math.imul(al2, bh1)) | 0;
+ mid = (mid + Math.imul(ah2, bl1)) | 0;
+ hi = (hi + Math.imul(ah2, bh1)) | 0;
+ lo = (lo + Math.imul(al1, bl2)) | 0;
+ mid = (mid + Math.imul(al1, bh2)) | 0;
+ mid = (mid + Math.imul(ah1, bl2)) | 0;
+ hi = (hi + Math.imul(ah1, bh2)) | 0;
+ lo = (lo + Math.imul(al0, bl3)) | 0;
+ mid = (mid + Math.imul(al0, bh3)) | 0;
+ mid = (mid + Math.imul(ah0, bl3)) | 0;
+ hi = (hi + Math.imul(ah0, bh3)) | 0;
+ var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;
+ w3 &= 0x3ffffff;
+ /* k = 4 */
+ lo = Math.imul(al4, bl0);
+ mid = Math.imul(al4, bh0);
+ mid = (mid + Math.imul(ah4, bl0)) | 0;
+ hi = Math.imul(ah4, bh0);
+ lo = (lo + Math.imul(al3, bl1)) | 0;
+ mid = (mid + Math.imul(al3, bh1)) | 0;
+ mid = (mid + Math.imul(ah3, bl1)) | 0;
+ hi = (hi + Math.imul(ah3, bh1)) | 0;
+ lo = (lo + Math.imul(al2, bl2)) | 0;
+ mid = (mid + Math.imul(al2, bh2)) | 0;
+ mid = (mid + Math.imul(ah2, bl2)) | 0;
+ hi = (hi + Math.imul(ah2, bh2)) | 0;
+ lo = (lo + Math.imul(al1, bl3)) | 0;
+ mid = (mid + Math.imul(al1, bh3)) | 0;
+ mid = (mid + Math.imul(ah1, bl3)) | 0;
+ hi = (hi + Math.imul(ah1, bh3)) | 0;
+ lo = (lo + Math.imul(al0, bl4)) | 0;
+ mid = (mid + Math.imul(al0, bh4)) | 0;
+ mid = (mid + Math.imul(ah0, bl4)) | 0;
+ hi = (hi + Math.imul(ah0, bh4)) | 0;
+ var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;
+ w4 &= 0x3ffffff;
+ /* k = 5 */
+ lo = Math.imul(al5, bl0);
+ mid = Math.imul(al5, bh0);
+ mid = (mid + Math.imul(ah5, bl0)) | 0;
+ hi = Math.imul(ah5, bh0);
+ lo = (lo + Math.imul(al4, bl1)) | 0;
+ mid = (mid + Math.imul(al4, bh1)) | 0;
+ mid = (mid + Math.imul(ah4, bl1)) | 0;
+ hi = (hi + Math.imul(ah4, bh1)) | 0;
+ lo = (lo + Math.imul(al3, bl2)) | 0;
+ mid = (mid + Math.imul(al3, bh2)) | 0;
+ mid = (mid + Math.imul(ah3, bl2)) | 0;
+ hi = (hi + Math.imul(ah3, bh2)) | 0;
+ lo = (lo + Math.imul(al2, bl3)) | 0;
+ mid = (mid + Math.imul(al2, bh3)) | 0;
+ mid = (mid + Math.imul(ah2, bl3)) | 0;
+ hi = (hi + Math.imul(ah2, bh3)) | 0;
+ lo = (lo + Math.imul(al1, bl4)) | 0;
+ mid = (mid + Math.imul(al1, bh4)) | 0;
+ mid = (mid + Math.imul(ah1, bl4)) | 0;
+ hi = (hi + Math.imul(ah1, bh4)) | 0;
+ lo = (lo + Math.imul(al0, bl5)) | 0;
+ mid = (mid + Math.imul(al0, bh5)) | 0;
+ mid = (mid + Math.imul(ah0, bl5)) | 0;
+ hi = (hi + Math.imul(ah0, bh5)) | 0;
+ var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;
+ w5 &= 0x3ffffff;
+ /* k = 6 */
+ lo = Math.imul(al6, bl0);
+ mid = Math.imul(al6, bh0);
+ mid = (mid + Math.imul(ah6, bl0)) | 0;
+ hi = Math.imul(ah6, bh0);
+ lo = (lo + Math.imul(al5, bl1)) | 0;
+ mid = (mid + Math.imul(al5, bh1)) | 0;
+ mid = (mid + Math.imul(ah5, bl1)) | 0;
+ hi = (hi + Math.imul(ah5, bh1)) | 0;
+ lo = (lo + Math.imul(al4, bl2)) | 0;
+ mid = (mid + Math.imul(al4, bh2)) | 0;
+ mid = (mid + Math.imul(ah4, bl2)) | 0;
+ hi = (hi + Math.imul(ah4, bh2)) | 0;
+ lo = (lo + Math.imul(al3, bl3)) | 0;
+ mid = (mid + Math.imul(al3, bh3)) | 0;
+ mid = (mid + Math.imul(ah3, bl3)) | 0;
+ hi = (hi + Math.imul(ah3, bh3)) | 0;
+ lo = (lo + Math.imul(al2, bl4)) | 0;
+ mid = (mid + Math.imul(al2, bh4)) | 0;
+ mid = (mid + Math.imul(ah2, bl4)) | 0;
+ hi = (hi + Math.imul(ah2, bh4)) | 0;
+ lo = (lo + Math.imul(al1, bl5)) | 0;
+ mid = (mid + Math.imul(al1, bh5)) | 0;
+ mid = (mid + Math.imul(ah1, bl5)) | 0;
+ hi = (hi + Math.imul(ah1, bh5)) | 0;
+ lo = (lo + Math.imul(al0, bl6)) | 0;
+ mid = (mid + Math.imul(al0, bh6)) | 0;
+ mid = (mid + Math.imul(ah0, bl6)) | 0;
+ hi = (hi + Math.imul(ah0, bh6)) | 0;
+ var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;
+ w6 &= 0x3ffffff;
+ /* k = 7 */
+ lo = Math.imul(al7, bl0);
+ mid = Math.imul(al7, bh0);
+ mid = (mid + Math.imul(ah7, bl0)) | 0;
+ hi = Math.imul(ah7, bh0);
+ lo = (lo + Math.imul(al6, bl1)) | 0;
+ mid = (mid + Math.imul(al6, bh1)) | 0;
+ mid = (mid + Math.imul(ah6, bl1)) | 0;
+ hi = (hi + Math.imul(ah6, bh1)) | 0;
+ lo = (lo + Math.imul(al5, bl2)) | 0;
+ mid = (mid + Math.imul(al5, bh2)) | 0;
+ mid = (mid + Math.imul(ah5, bl2)) | 0;
+ hi = (hi + Math.imul(ah5, bh2)) | 0;
+ lo = (lo + Math.imul(al4, bl3)) | 0;
+ mid = (mid + Math.imul(al4, bh3)) | 0;
+ mid = (mid + Math.imul(ah4, bl3)) | 0;
+ hi = (hi + Math.imul(ah4, bh3)) | 0;
+ lo = (lo + Math.imul(al3, bl4)) | 0;
+ mid = (mid + Math.imul(al3, bh4)) | 0;
+ mid = (mid + Math.imul(ah3, bl4)) | 0;
+ hi = (hi + Math.imul(ah3, bh4)) | 0;
+ lo = (lo + Math.imul(al2, bl5)) | 0;
+ mid = (mid + Math.imul(al2, bh5)) | 0;
+ mid = (mid + Math.imul(ah2, bl5)) | 0;
+ hi = (hi + Math.imul(ah2, bh5)) | 0;
+ lo = (lo + Math.imul(al1, bl6)) | 0;
+ mid = (mid + Math.imul(al1, bh6)) | 0;
+ mid = (mid + Math.imul(ah1, bl6)) | 0;
+ hi = (hi + Math.imul(ah1, bh6)) | 0;
+ lo = (lo + Math.imul(al0, bl7)) | 0;
+ mid = (mid + Math.imul(al0, bh7)) | 0;
+ mid = (mid + Math.imul(ah0, bl7)) | 0;
+ hi = (hi + Math.imul(ah0, bh7)) | 0;
+ var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;
+ w7 &= 0x3ffffff;
+ /* k = 8 */
+ lo = Math.imul(al8, bl0);
+ mid = Math.imul(al8, bh0);
+ mid = (mid + Math.imul(ah8, bl0)) | 0;
+ hi = Math.imul(ah8, bh0);
+ lo = (lo + Math.imul(al7, bl1)) | 0;
+ mid = (mid + Math.imul(al7, bh1)) | 0;
+ mid = (mid + Math.imul(ah7, bl1)) | 0;
+ hi = (hi + Math.imul(ah7, bh1)) | 0;
+ lo = (lo + Math.imul(al6, bl2)) | 0;
+ mid = (mid + Math.imul(al6, bh2)) | 0;
+ mid = (mid + Math.imul(ah6, bl2)) | 0;
+ hi = (hi + Math.imul(ah6, bh2)) | 0;
+ lo = (lo + Math.imul(al5, bl3)) | 0;
+ mid = (mid + Math.imul(al5, bh3)) | 0;
+ mid = (mid + Math.imul(ah5, bl3)) | 0;
+ hi = (hi + Math.imul(ah5, bh3)) | 0;
+ lo = (lo + Math.imul(al4, bl4)) | 0;
+ mid = (mid + Math.imul(al4, bh4)) | 0;
+ mid = (mid + Math.imul(ah4, bl4)) | 0;
+ hi = (hi + Math.imul(ah4, bh4)) | 0;
+ lo = (lo + Math.imul(al3, bl5)) | 0;
+ mid = (mid + Math.imul(al3, bh5)) | 0;
+ mid = (mid + Math.imul(ah3, bl5)) | 0;
+ hi = (hi + Math.imul(ah3, bh5)) | 0;
+ lo = (lo + Math.imul(al2, bl6)) | 0;
+ mid = (mid + Math.imul(al2, bh6)) | 0;
+ mid = (mid + Math.imul(ah2, bl6)) | 0;
+ hi = (hi + Math.imul(ah2, bh6)) | 0;
+ lo = (lo + Math.imul(al1, bl7)) | 0;
+ mid = (mid + Math.imul(al1, bh7)) | 0;
+ mid = (mid + Math.imul(ah1, bl7)) | 0;
+ hi = (hi + Math.imul(ah1, bh7)) | 0;
+ lo = (lo + Math.imul(al0, bl8)) | 0;
+ mid = (mid + Math.imul(al0, bh8)) | 0;
+ mid = (mid + Math.imul(ah0, bl8)) | 0;
+ hi = (hi + Math.imul(ah0, bh8)) | 0;
+ var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;
+ w8 &= 0x3ffffff;
+ /* k = 9 */
+ lo = Math.imul(al9, bl0);
+ mid = Math.imul(al9, bh0);
+ mid = (mid + Math.imul(ah9, bl0)) | 0;
+ hi = Math.imul(ah9, bh0);
+ lo = (lo + Math.imul(al8, bl1)) | 0;
+ mid = (mid + Math.imul(al8, bh1)) | 0;
+ mid = (mid + Math.imul(ah8, bl1)) | 0;
+ hi = (hi + Math.imul(ah8, bh1)) | 0;
+ lo = (lo + Math.imul(al7, bl2)) | 0;
+ mid = (mid + Math.imul(al7, bh2)) | 0;
+ mid = (mid + Math.imul(ah7, bl2)) | 0;
+ hi = (hi + Math.imul(ah7, bh2)) | 0;
+ lo = (lo + Math.imul(al6, bl3)) | 0;
+ mid = (mid + Math.imul(al6, bh3)) | 0;
+ mid = (mid + Math.imul(ah6, bl3)) | 0;
+ hi = (hi + Math.imul(ah6, bh3)) | 0;
+ lo = (lo + Math.imul(al5, bl4)) | 0;
+ mid = (mid + Math.imul(al5, bh4)) | 0;
+ mid = (mid + Math.imul(ah5, bl4)) | 0;
+ hi = (hi + Math.imul(ah5, bh4)) | 0;
+ lo = (lo + Math.imul(al4, bl5)) | 0;
+ mid = (mid + Math.imul(al4, bh5)) | 0;
+ mid = (mid + Math.imul(ah4, bl5)) | 0;
+ hi = (hi + Math.imul(ah4, bh5)) | 0;
+ lo = (lo + Math.imul(al3, bl6)) | 0;
+ mid = (mid + Math.imul(al3, bh6)) | 0;
+ mid = (mid + Math.imul(ah3, bl6)) | 0;
+ hi = (hi + Math.imul(ah3, bh6)) | 0;
+ lo = (lo + Math.imul(al2, bl7)) | 0;
+ mid = (mid + Math.imul(al2, bh7)) | 0;
+ mid = (mid + Math.imul(ah2, bl7)) | 0;
+ hi = (hi + Math.imul(ah2, bh7)) | 0;
+ lo = (lo + Math.imul(al1, bl8)) | 0;
+ mid = (mid + Math.imul(al1, bh8)) | 0;
+ mid = (mid + Math.imul(ah1, bl8)) | 0;
+ hi = (hi + Math.imul(ah1, bh8)) | 0;
+ lo = (lo + Math.imul(al0, bl9)) | 0;
+ mid = (mid + Math.imul(al0, bh9)) | 0;
+ mid = (mid + Math.imul(ah0, bl9)) | 0;
+ hi = (hi + Math.imul(ah0, bh9)) | 0;
+ var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;
+ w9 &= 0x3ffffff;
+ /* k = 10 */
+ lo = Math.imul(al9, bl1);
+ mid = Math.imul(al9, bh1);
+ mid = (mid + Math.imul(ah9, bl1)) | 0;
+ hi = Math.imul(ah9, bh1);
+ lo = (lo + Math.imul(al8, bl2)) | 0;
+ mid = (mid + Math.imul(al8, bh2)) | 0;
+ mid = (mid + Math.imul(ah8, bl2)) | 0;
+ hi = (hi + Math.imul(ah8, bh2)) | 0;
+ lo = (lo + Math.imul(al7, bl3)) | 0;
+ mid = (mid + Math.imul(al7, bh3)) | 0;
+ mid = (mid + Math.imul(ah7, bl3)) | 0;
+ hi = (hi + Math.imul(ah7, bh3)) | 0;
+ lo = (lo + Math.imul(al6, bl4)) | 0;
+ mid = (mid + Math.imul(al6, bh4)) | 0;
+ mid = (mid + Math.imul(ah6, bl4)) | 0;
+ hi = (hi + Math.imul(ah6, bh4)) | 0;
+ lo = (lo + Math.imul(al5, bl5)) | 0;
+ mid = (mid + Math.imul(al5, bh5)) | 0;
+ mid = (mid + Math.imul(ah5, bl5)) | 0;
+ hi = (hi + Math.imul(ah5, bh5)) | 0;
+ lo = (lo + Math.imul(al4, bl6)) | 0;
+ mid = (mid + Math.imul(al4, bh6)) | 0;
+ mid = (mid + Math.imul(ah4, bl6)) | 0;
+ hi = (hi + Math.imul(ah4, bh6)) | 0;
+ lo = (lo + Math.imul(al3, bl7)) | 0;
+ mid = (mid + Math.imul(al3, bh7)) | 0;
+ mid = (mid + Math.imul(ah3, bl7)) | 0;
+ hi = (hi + Math.imul(ah3, bh7)) | 0;
+ lo = (lo + Math.imul(al2, bl8)) | 0;
+ mid = (mid + Math.imul(al2, bh8)) | 0;
+ mid = (mid + Math.imul(ah2, bl8)) | 0;
+ hi = (hi + Math.imul(ah2, bh8)) | 0;
+ lo = (lo + Math.imul(al1, bl9)) | 0;
+ mid = (mid + Math.imul(al1, bh9)) | 0;
+ mid = (mid + Math.imul(ah1, bl9)) | 0;
+ hi = (hi + Math.imul(ah1, bh9)) | 0;
+ var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;
+ w10 &= 0x3ffffff;
+ /* k = 11 */
+ lo = Math.imul(al9, bl2);
+ mid = Math.imul(al9, bh2);
+ mid = (mid + Math.imul(ah9, bl2)) | 0;
+ hi = Math.imul(ah9, bh2);
+ lo = (lo + Math.imul(al8, bl3)) | 0;
+ mid = (mid + Math.imul(al8, bh3)) | 0;
+ mid = (mid + Math.imul(ah8, bl3)) | 0;
+ hi = (hi + Math.imul(ah8, bh3)) | 0;
+ lo = (lo + Math.imul(al7, bl4)) | 0;
+ mid = (mid + Math.imul(al7, bh4)) | 0;
+ mid = (mid + Math.imul(ah7, bl4)) | 0;
+ hi = (hi + Math.imul(ah7, bh4)) | 0;
+ lo = (lo + Math.imul(al6, bl5)) | 0;
+ mid = (mid + Math.imul(al6, bh5)) | 0;
+ mid = (mid + Math.imul(ah6, bl5)) | 0;
+ hi = (hi + Math.imul(ah6, bh5)) | 0;
+ lo = (lo + Math.imul(al5, bl6)) | 0;
+ mid = (mid + Math.imul(al5, bh6)) | 0;
+ mid = (mid + Math.imul(ah5, bl6)) | 0;
+ hi = (hi + Math.imul(ah5, bh6)) | 0;
+ lo = (lo + Math.imul(al4, bl7)) | 0;
+ mid = (mid + Math.imul(al4, bh7)) | 0;
+ mid = (mid + Math.imul(ah4, bl7)) | 0;
+ hi = (hi + Math.imul(ah4, bh7)) | 0;
+ lo = (lo + Math.imul(al3, bl8)) | 0;
+ mid = (mid + Math.imul(al3, bh8)) | 0;
+ mid = (mid + Math.imul(ah3, bl8)) | 0;
+ hi = (hi + Math.imul(ah3, bh8)) | 0;
+ lo = (lo + Math.imul(al2, bl9)) | 0;
+ mid = (mid + Math.imul(al2, bh9)) | 0;
+ mid = (mid + Math.imul(ah2, bl9)) | 0;
+ hi = (hi + Math.imul(ah2, bh9)) | 0;
+ var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;
+ w11 &= 0x3ffffff;
+ /* k = 12 */
+ lo = Math.imul(al9, bl3);
+ mid = Math.imul(al9, bh3);
+ mid = (mid + Math.imul(ah9, bl3)) | 0;
+ hi = Math.imul(ah9, bh3);
+ lo = (lo + Math.imul(al8, bl4)) | 0;
+ mid = (mid + Math.imul(al8, bh4)) | 0;
+ mid = (mid + Math.imul(ah8, bl4)) | 0;
+ hi = (hi + Math.imul(ah8, bh4)) | 0;
+ lo = (lo + Math.imul(al7, bl5)) | 0;
+ mid = (mid + Math.imul(al7, bh5)) | 0;
+ mid = (mid + Math.imul(ah7, bl5)) | 0;
+ hi = (hi + Math.imul(ah7, bh5)) | 0;
+ lo = (lo + Math.imul(al6, bl6)) | 0;
+ mid = (mid + Math.imul(al6, bh6)) | 0;
+ mid = (mid + Math.imul(ah6, bl6)) | 0;
+ hi = (hi + Math.imul(ah6, bh6)) | 0;
+ lo = (lo + Math.imul(al5, bl7)) | 0;
+ mid = (mid + Math.imul(al5, bh7)) | 0;
+ mid = (mid + Math.imul(ah5, bl7)) | 0;
+ hi = (hi + Math.imul(ah5, bh7)) | 0;
+ lo = (lo + Math.imul(al4, bl8)) | 0;
+ mid = (mid + Math.imul(al4, bh8)) | 0;
+ mid = (mid + Math.imul(ah4, bl8)) | 0;
+ hi = (hi + Math.imul(ah4, bh8)) | 0;
+ lo = (lo + Math.imul(al3, bl9)) | 0;
+ mid = (mid + Math.imul(al3, bh9)) | 0;
+ mid = (mid + Math.imul(ah3, bl9)) | 0;
+ hi = (hi + Math.imul(ah3, bh9)) | 0;
+ var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;
+ w12 &= 0x3ffffff;
+ /* k = 13 */
+ lo = Math.imul(al9, bl4);
+ mid = Math.imul(al9, bh4);
+ mid = (mid + Math.imul(ah9, bl4)) | 0;
+ hi = Math.imul(ah9, bh4);
+ lo = (lo + Math.imul(al8, bl5)) | 0;
+ mid = (mid + Math.imul(al8, bh5)) | 0;
+ mid = (mid + Math.imul(ah8, bl5)) | 0;
+ hi = (hi + Math.imul(ah8, bh5)) | 0;
+ lo = (lo + Math.imul(al7, bl6)) | 0;
+ mid = (mid + Math.imul(al7, bh6)) | 0;
+ mid = (mid + Math.imul(ah7, bl6)) | 0;
+ hi = (hi + Math.imul(ah7, bh6)) | 0;
+ lo = (lo + Math.imul(al6, bl7)) | 0;
+ mid = (mid + Math.imul(al6, bh7)) | 0;
+ mid = (mid + Math.imul(ah6, bl7)) | 0;
+ hi = (hi + Math.imul(ah6, bh7)) | 0;
+ lo = (lo + Math.imul(al5, bl8)) | 0;
+ mid = (mid + Math.imul(al5, bh8)) | 0;
+ mid = (mid + Math.imul(ah5, bl8)) | 0;
+ hi = (hi + Math.imul(ah5, bh8)) | 0;
+ lo = (lo + Math.imul(al4, bl9)) | 0;
+ mid = (mid + Math.imul(al4, bh9)) | 0;
+ mid = (mid + Math.imul(ah4, bl9)) | 0;
+ hi = (hi + Math.imul(ah4, bh9)) | 0;
+ var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;
+ w13 &= 0x3ffffff;
+ /* k = 14 */
+ lo = Math.imul(al9, bl5);
+ mid = Math.imul(al9, bh5);
+ mid = (mid + Math.imul(ah9, bl5)) | 0;
+ hi = Math.imul(ah9, bh5);
+ lo = (lo + Math.imul(al8, bl6)) | 0;
+ mid = (mid + Math.imul(al8, bh6)) | 0;
+ mid = (mid + Math.imul(ah8, bl6)) | 0;
+ hi = (hi + Math.imul(ah8, bh6)) | 0;
+ lo = (lo + Math.imul(al7, bl7)) | 0;
+ mid = (mid + Math.imul(al7, bh7)) | 0;
+ mid = (mid + Math.imul(ah7, bl7)) | 0;
+ hi = (hi + Math.imul(ah7, bh7)) | 0;
+ lo = (lo + Math.imul(al6, bl8)) | 0;
+ mid = (mid + Math.imul(al6, bh8)) | 0;
+ mid = (mid + Math.imul(ah6, bl8)) | 0;
+ hi = (hi + Math.imul(ah6, bh8)) | 0;
+ lo = (lo + Math.imul(al5, bl9)) | 0;
+ mid = (mid + Math.imul(al5, bh9)) | 0;
+ mid = (mid + Math.imul(ah5, bl9)) | 0;
+ hi = (hi + Math.imul(ah5, bh9)) | 0;
+ var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;
+ w14 &= 0x3ffffff;
+ /* k = 15 */
+ lo = Math.imul(al9, bl6);
+ mid = Math.imul(al9, bh6);
+ mid = (mid + Math.imul(ah9, bl6)) | 0;
+ hi = Math.imul(ah9, bh6);
+ lo = (lo + Math.imul(al8, bl7)) | 0;
+ mid = (mid + Math.imul(al8, bh7)) | 0;
+ mid = (mid + Math.imul(ah8, bl7)) | 0;
+ hi = (hi + Math.imul(ah8, bh7)) | 0;
+ lo = (lo + Math.imul(al7, bl8)) | 0;
+ mid = (mid + Math.imul(al7, bh8)) | 0;
+ mid = (mid + Math.imul(ah7, bl8)) | 0;
+ hi = (hi + Math.imul(ah7, bh8)) | 0;
+ lo = (lo + Math.imul(al6, bl9)) | 0;
+ mid = (mid + Math.imul(al6, bh9)) | 0;
+ mid = (mid + Math.imul(ah6, bl9)) | 0;
+ hi = (hi + Math.imul(ah6, bh9)) | 0;
+ var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;
+ w15 &= 0x3ffffff;
+ /* k = 16 */
+ lo = Math.imul(al9, bl7);
+ mid = Math.imul(al9, bh7);
+ mid = (mid + Math.imul(ah9, bl7)) | 0;
+ hi = Math.imul(ah9, bh7);
+ lo = (lo + Math.imul(al8, bl8)) | 0;
+ mid = (mid + Math.imul(al8, bh8)) | 0;
+ mid = (mid + Math.imul(ah8, bl8)) | 0;
+ hi = (hi + Math.imul(ah8, bh8)) | 0;
+ lo = (lo + Math.imul(al7, bl9)) | 0;
+ mid = (mid + Math.imul(al7, bh9)) | 0;
+ mid = (mid + Math.imul(ah7, bl9)) | 0;
+ hi = (hi + Math.imul(ah7, bh9)) | 0;
+ var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;
+ w16 &= 0x3ffffff;
+ /* k = 17 */
+ lo = Math.imul(al9, bl8);
+ mid = Math.imul(al9, bh8);
+ mid = (mid + Math.imul(ah9, bl8)) | 0;
+ hi = Math.imul(ah9, bh8);
+ lo = (lo + Math.imul(al8, bl9)) | 0;
+ mid = (mid + Math.imul(al8, bh9)) | 0;
+ mid = (mid + Math.imul(ah8, bl9)) | 0;
+ hi = (hi + Math.imul(ah8, bh9)) | 0;
+ var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;
+ w17 &= 0x3ffffff;
+ /* k = 18 */
+ lo = Math.imul(al9, bl9);
+ mid = Math.imul(al9, bh9);
+ mid = (mid + Math.imul(ah9, bl9)) | 0;
+ hi = Math.imul(ah9, bh9);
+ var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
+ c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;
+ w18 &= 0x3ffffff;
+ o[0] = w0;
+ o[1] = w1;
+ o[2] = w2;
+ o[3] = w3;
+ o[4] = w4;
+ o[5] = w5;
+ o[6] = w6;
+ o[7] = w7;
+ o[8] = w8;
+ o[9] = w9;
+ o[10] = w10;
+ o[11] = w11;
+ o[12] = w12;
+ o[13] = w13;
+ o[14] = w14;
+ o[15] = w15;
+ o[16] = w16;
+ o[17] = w17;
+ o[18] = w18;
+ if (c !== 0) {
+ o[19] = c;
+ out.length++;
+ }
+ return out;
+ };
+
+ // Polyfill comb
+ if (!Math.imul) {
+ comb10MulTo = smallMulTo;
+ }
+
+ 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();
+ }
+
+ function jumboMulTo (self, num, out) {
+ var fftm = new FFTM();
+ return fftm.mulp(self, num, out);
+ }
+
+ BN.prototype.mulTo = function mulTo (num, out) {
+ var res;
+ var len = this.length + num.length;
+ if (this.length === 10 && num.length === 10) {
+ res = comb10MulTo(this, num, out);
+ } else if (len < 63) {
+ res = smallMulTo(this, num, out);
+ } else if (len < 1024) {
+ res = bigMulTo(this, num, out);
+ } else {
+ res = jumboMulTo(this, num, out);
+ }
+
+ return res;
+ };
+
+ // Cooley-Tukey algorithm for FFT
+ // slightly revisited to rely on looping instead of recursion
+
+ function FFTM (x, y) {
+ this.x = x;
+ this.y = y;
+ }
+
+ FFTM.prototype.makeRBT = function makeRBT (N) {
+ var t = new Array(N);
+ var l = BN.prototype._countBits(N) - 1;
+ for (var i = 0; i < N; i++) {
+ t[i] = this.revBin(i, l, N);
+ }
+
+ return t;
+ };
+
+ // Returns binary-reversed representation of `x`
+ FFTM.prototype.revBin = function revBin (x, l, N) {
+ if (x === 0 || x === N - 1) return x;
+
+ var rb = 0;
+ for (var i = 0; i < l; i++) {
+ rb |= (x & 1) << (l - i - 1);
+ x >>= 1;
+ }
+
+ return rb;
+ };
+
+ // Performs "tweedling" phase, therefore 'emulating'
+ // behaviour of the recursive algorithm
+ FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {
+ for (var i = 0; i < N; i++) {
+ rtws[i] = rws[rbt[i]];
+ itws[i] = iws[rbt[i]];
+ }
+ };
+
+ FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {
+ this.permute(rbt, rws, iws, rtws, itws, N);
+
+ for (var s = 1; s < N; s <<= 1) {
+ var l = s << 1;
+
+ var rtwdf = Math.cos(2 * Math.PI / l);
+ var itwdf = Math.sin(2 * Math.PI / l);
+
+ for (var p = 0; p < N; p += l) {
+ var rtwdf_ = rtwdf;
+ var itwdf_ = itwdf;
+
+ for (var j = 0; j < s; j++) {
+ var re = rtws[p + j];
+ var ie = itws[p + j];
+
+ var ro = rtws[p + j + s];
+ var io = itws[p + j + s];
+
+ var rx = rtwdf_ * ro - itwdf_ * io;
+
+ io = rtwdf_ * io + itwdf_ * ro;
+ ro = rx;
+
+ rtws[p + j] = re + ro;
+ itws[p + j] = ie + io;
+
+ rtws[p + j + s] = re - ro;
+ itws[p + j + s] = ie - io;
+
+ /* jshint maxdepth : false */
+ if (j !== l) {
+ rx = rtwdf * rtwdf_ - itwdf * itwdf_;
+
+ itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;
+ rtwdf_ = rx;
+ }
+ }
+ }
+ }
+ };
+
+ FFTM.prototype.guessLen13b = function guessLen13b (n, m) {
+ var N = Math.max(m, n) | 1;
+ var odd = N & 1;
+ var i = 0;
+ for (N = N / 2 | 0; N; N = N >>> 1) {
+ i++;
+ }
+
+ return 1 << i + 1 + odd;
+ };
+
+ FFTM.prototype.conjugate = function conjugate (rws, iws, N) {
+ if (N <= 1) return;
+
+ for (var i = 0; i < N / 2; i++) {
+ var t = rws[i];
+
+ rws[i] = rws[N - i - 1];
+ rws[N - i - 1] = t;
+
+ t = iws[i];
+
+ iws[i] = -iws[N - i - 1];
+ iws[N - i - 1] = -t;
+ }
+ };
+
+ FFTM.prototype.normalize13b = function normalize13b (ws, N) {
+ var carry = 0;
+ for (var i = 0; i < N / 2; i++) {
+ var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +
+ Math.round(ws[2 * i] / N) +
+ carry;
+
+ ws[i] = w & 0x3ffffff;
+
+ if (w < 0x4000000) {
+ carry = 0;
+ } else {
+ carry = w / 0x4000000 | 0;
+ }
+ }
+
+ return ws;
+ };
+
+ FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {
+ var carry = 0;
+ for (var i = 0; i < len; i++) {
+ carry = carry + (ws[i] | 0);
+
+ rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;
+ rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;
+ }
+
+ // Pad with zeroes
+ for (i = 2 * len; i < N; ++i) {
+ rws[i] = 0;
+ }
+
+ assert(carry === 0);
+ assert((carry & ~0x1fff) === 0);
+ };
+
+ FFTM.prototype.stub = function stub (N) {
+ var ph = new Array(N);
+ for (var i = 0; i < N; i++) {
+ ph[i] = 0;
+ }
+
+ return ph;
+ };
+
+ FFTM.prototype.mulp = function mulp (x, y, out) {
+ var N = 2 * this.guessLen13b(x.length, y.length);
+
+ var rbt = this.makeRBT(N);
+
+ var _ = this.stub(N);
+
+ var rws = new Array(N);
+ var rwst = new Array(N);
+ var iwst = new Array(N);
+
+ var nrws = new Array(N);
+ var nrwst = new Array(N);
+ var niwst = new Array(N);
+
+ var rmws = out.words;
+ rmws.length = N;
+
+ this.convert13b(x.words, x.length, rws, N);
+ this.convert13b(y.words, y.length, nrws, N);
+
+ this.transform(rws, _, rwst, iwst, N, rbt);
+ this.transform(nrws, _, nrwst, niwst, N, rbt);
+
+ for (var i = 0; i < N; i++) {
+ var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];
+ iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];
+ rwst[i] = rx;
+ }
+
+ this.conjugate(rwst, iwst, N);
+ this.transform(rwst, iwst, rmws, _, N, rbt);
+ this.conjugate(rmws, _, N);
+ this.normalize13b(rmws, N);
+
+ out.negative = x.negative ^ y.negative;
+ out.length = x.length + y.length;
+ return out.strip();
+ };
+
+ // 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);
+ };
+
+ // Multiply employing FFT
+ BN.prototype.mulf = function mulf (num) {
+ var out = new BN(null);
+ out.words = new Array(this.length + num.length);
+ return jumboMulTo(this, num, out);
+ };
+
+ // In-place Multiplication
+ BN.prototype.imul = function imul (num) {
+ return this.clone().mulTo(num, this);
+ };
+
+ BN.prototype.imuln = function imuln (num) {
+ assert(typeof num === 'number');
+ assert(num < 0x4000000);
+
+ // 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.imul(this.clone());
+ };
+
+ // Math.pow(`this`, `num`)
+ BN.prototype.pow = function pow (num) {
+ var w = toBitArray(num);
+ if (w.length === 0) return new BN(1);
+
+ // Skip leading zeroes
+ var res = this;
+ for (var i = 0; i < w.length; i++, res = res.sqr()) {
+ if (w[i] !== 0) break;
+ }
+
+ if (++i < w.length) {
+ for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {
+ if (w[i] === 0) continue;
+
+ res = res.mul(q);
+ }
+ }
+
+ return res;
+ };
+
+ // Shift-left in-place
+ BN.prototype.iushln = function iushln (bits) {
+ assert(typeof bits === 'number' && bits >= 0);
+ var r = bits % 26;
+ var s = (bits - r) / 26;
+ var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);
+ var i;
+
+ if (r !== 0) {
+ var carry = 0;
+
+ for (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 (i = this.length - 1; i >= 0; i--) {
+ this.words[i + s] = this.words[i];
+ }
+
+ for (i = 0; i < s; i++) {
+ this.words[i] = 0;
+ }
+
+ this.length += s;
+ }
+
+ return this.strip();
+ };
+
+ BN.prototype.ishln = function ishln (bits) {
+ // TODO(indutny): implement me
+ assert(this.negative === 0);
+ return this.iushln(bits);
+ };
+
+ // Shift-right in-place
+ // NOTE: `hint` is a lowest bit before trailing zeroes
+ // NOTE: if `extended` is present - it will be filled with destroyed bits
+ BN.prototype.iushrn = function iushrn (bits, hint, extended) {
+ assert(typeof bits === 'number' && bits >= 0);
+ 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 (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 (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;
+ }
+
+ return this.strip();
+ };
+
+ BN.prototype.ishrn = function ishrn (bits, hint, extended) {
+ // TODO(indutny): implement me
+ assert(this.negative === 0);
+ return this.iushrn(bits, hint, extended);
+ };
+
+ // Shift-left
+ BN.prototype.shln = function shln (bits) {
+ return this.clone().ishln(bits);
+ };
+
+ BN.prototype.ushln = function ushln (bits) {
+ return this.clone().iushln(bits);
+ };
+
+ // Shift-right
+ BN.prototype.shrn = function shrn (bits) {
+ return this.clone().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) {
+ assert(typeof bit === 'number' && bit >= 0);
+ 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);
+ };
+
+ // Return only lowers bits of number (in-place)
+ BN.prototype.imaskn = function imaskn (bits) {
+ assert(typeof bits === 'number' && bits >= 0);
+ var r = bits % 26;
+ var s = (bits - r) / 26;
+
+ assert(this.negative === 0, 'imaskn works only with positive numbers');
+
+ if (this.length <= s) {
+ return this;
+ }
+
+ if (r !== 0) {
+ s++;
+ }
+ this.length = Math.min(s, this.length);
+
+ if (r !== 0) {
+ var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
+ this.words[this.length - 1] &= mask;
+ }
+
+ return this.strip();
+ };
+
+ // Return only lowers bits of number
+ BN.prototype.maskn = function maskn (bits) {
+ return this.clone().imaskn(bits);
+ };
+
+ // Add plain number `num` to `this`
+ BN.prototype.iaddn = function iaddn (num) {
+ assert(typeof num === 'number');
+ assert(num < 0x4000000);
+ 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) {
+ assert(typeof num === 'number');
+ assert(num < 0x4000000);
+ 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;
+
+ if (this.length === 1 && this.words[0] < 0) {
+ this.words[0] = -this.words[0];
+ this.negative = 1;
+ } else {
+ // 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) {
+ var len = num.length + shift;
+ var i;
+
+ this._expand(len);
+
+ var w;
+ var carry = 0;
+ for (i = 0; i < num.length; i++) {
+ 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++) {
+ w = (this.words[i + shift] | 0) + carry;
+ carry = w >> 26;
+ this.words[i + shift] = w & 0x3ffffff;
+ }
+
+ if (carry === 0) return this.strip();
+
+ // Subtraction overflow
+ assert(carry === -1);
+ carry = 0;
+ for (i = 0; i < this.length; i++) {
+ 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.isZero()) {
+ 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 || null,
+ mod: a
+ };
+ };
+
+ // NOTE: 1) `mode` can be set to `mod` to request mod only,
+ // to `div` to request div only, or be absent to
+ // request both div & mod
+ // 2) `positive` is true if unsigned mod is requested
+ BN.prototype.divmod = function divmod (num, mode, positive) {
+ assert(!num.isZero());
+
+ if (this.isZero()) {
+ return {
+ div: new BN(0),
+ mod: new BN(0)
+ };
+ }
+
+ var div, mod, res;
+ if (this.negative !== 0 && num.negative === 0) {
+ res = this.neg().divmod(num, mode);
+
+ if (mode !== 'mod') {
+ div = res.div.neg();
+ }
+
+ if (mode !== 'div') {
+ mod = res.mod.neg();
+ if (positive && mod.negative !== 0) {
+ mod.iadd(num);
+ }
+ }
+
+ return {
+ div: div,
+ mod: mod
+ };
+ }
+
+ if (this.negative === 0 && num.negative !== 0) {
+ res = this.divmod(num.neg(), mode);
+
+ if (mode !== 'mod') {
+ div = res.div.neg();
+ }
+
+ return {
+ div: div,
+ mod: res.mod
+ };
+ }
+
+ if ((this.negative & num.negative) !== 0) {
+ res = this.neg().divmod(num.neg(), mode);
+
+ if (mode !== 'div') {
+ mod = res.mod.neg();
+ if (positive && mod.negative !== 0) {
+ 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
+ };
+ }
+
+ 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.isZero()) 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) {
+ assert(num <= 0x3ffffff);
+ 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) {
+ assert(num <= 0x3ffffff);
+
+ 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.egcd = function egcd (p) {
+ assert(p.negative === 0);
+ assert(!p.isZero());
+
+ var x = this;
+ var y = p.clone();
+
+ if (x.negative !== 0) {
+ x = x.umod(p);
+ } else {
+ x = x.clone();
+ }
+
+ // A * x + B * y = x
+ var A = new BN(1);
+ var B = new BN(0);
+
+ // C * x + D * y = y
+ var C = new BN(0);
+ var D = new BN(1);
+
+ var g = 0;
+
+ while (x.isEven() && y.isEven()) {
+ x.iushrn(1);
+ y.iushrn(1);
+ ++g;
+ }
+
+ var yp = y.clone();
+ var xp = x.clone();
+
+ while (!x.isZero()) {
+ for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
+ if (i > 0) {
+ x.iushrn(i);
+ while (i-- > 0) {
+ if (A.isOdd() || B.isOdd()) {
+ A.iadd(yp);
+ B.isub(xp);
+ }
+
+ A.iushrn(1);
+ B.iushrn(1);
+ }
+ }
+
+ for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
+ if (j > 0) {
+ y.iushrn(j);
+ while (j-- > 0) {
+ if (C.isOdd() || D.isOdd()) {
+ C.iadd(yp);
+ D.isub(xp);
+ }
+
+ C.iushrn(1);
+ D.iushrn(1);
+ }
+ }
+
+ if (x.cmp(y) >= 0) {
+ x.isub(y);
+ A.isub(C);
+ B.isub(D);
+ } else {
+ y.isub(x);
+ C.isub(A);
+ D.isub(B);
+ }
+ }
+
+ return {
+ a: C,
+ b: D,
+ gcd: y.iushln(g)
+ };
+ };
+
+ // This is reduced incarnation of the binary EEA
+ // above, designated to invert members of the
+ // _prime_ fields F(p) at a maximal speed
+ BN.prototype._invmp = function _invmp (p) {
+ assert(p.negative === 0);
+ assert(!p.isZero());
+
+ var a = this;
+ var b = p.clone();
+
+ if (a.negative !== 0) {
+ a = a.umod(p);
+ } else {
+ a = a.clone();
+ }
+
+ var x1 = new BN(1);
+ var x2 = new BN(0);
+
+ var delta = b.clone();
+
+ while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {
+ for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
+ if (i > 0) {
+ a.iushrn(i);
+ while (i-- > 0) {
+ if (x1.isOdd()) {
+ x1.iadd(delta);
+ }
+
+ x1.iushrn(1);
+ }
+ }
+
+ for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
+ if (j > 0) {
+ b.iushrn(j);
+ while (j-- > 0) {
+ if (x2.isOdd()) {
+ x2.iadd(delta);
+ }
+
+ x2.iushrn(1);
+ }
+ }
+
+ if (a.cmp(b) >= 0) {
+ a.isub(b);
+ x1.isub(x2);
+ } else {
+ b.isub(a);
+ x2.isub(x1);
+ }
+ }
+
+ var res;
+ if (a.cmpn(1) === 0) {
+ res = x1;
+ } else {
+ res = x2;
+ }
+
+ if (res.cmpn(0) < 0) {
+ res.iadd(p);
+ }
+
+ return res;
+ };
+
+ BN.prototype.gcd = function gcd (num) {
+ if (this.isZero()) return num.abs();
+ if (num.isZero()) return this.abs();
+
+ var a = this.clone();
+ var b = num.clone();
+ a.negative = 0;
+ b.negative = 0;
+
+ // Remove common factor of two
+ for (var shift = 0; a.isEven() && b.isEven(); shift++) {
+ a.iushrn(1);
+ b.iushrn(1);
+ }
+
+ do {
+ while (a.isEven()) {
+ a.iushrn(1);
+ }
+ while (b.isEven()) {
+ b.iushrn(1);
+ }
+
+ var r = a.cmp(b);
+ if (r < 0) {
+ // Swap `a` and `b` to make `a` always bigger than `b`
+ var t = a;
+ a = b;
+ b = t;
+ } else if (r === 0 || b.cmpn(1) === 0) {
+ break;
+ }
+
+ a.isub(b);
+ } while (true);
+
+ return b.iushln(shift);
+ };
+
+ // Invert number in the field F(num)
+ BN.prototype.invm = function invm (num) {
+ return this.egcd(num).a.umod(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;
+ };
+
+ // Increment at the bit position in-line
+ BN.prototype.bincn = function bincn (bit) {
+ assert(typeof bit === 'number');
+ 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) {
+ this._expand(s + 1);
+ this.words[s] |= q;
+ return this;
+ }
+
+ // Add bit and propagate, if needed
+ var carry = q;
+ for (var i = s; carry !== 0 && i < this.length; i++) {
+ var w = this.words[i] | 0;
+ w += carry;
+ carry = w >>> 26;
+ w &= 0x3ffffff;
+ this.words[i] = w;
+ }
+ if (carry !== 0) {
+ this.words[i] = carry;
+ this.length++;
+ }
+ return this;
+ };
+
+ BN.prototype.isZero = function isZero () {
+ return this.length === 1 && this.words[0] === 0;
+ };
+
+ BN.prototype.cmpn = function cmpn (num) {
+ var negative = num < 0;
+
+ if (this.negative !== 0 && !negative) return -1;
+ if (this.negative === 0 && negative) return 1;
+
+ this.strip();
+
+ var res;
+ if (this.length > 1) {
+ res = 1;
+ } else {
+ if (negative) {
+ num = -num;
+ }
+
+ assert(num <= 0x3ffffff, 'Number is too big');
+
+ var w = this.words[0] | 0;
+ res = w === num ? 0 : w < num ? -1 : 1;
+ }
+ if (this.negative !== 0) return -res | 0;
+ 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;
+ if (this.negative === 0 && num.negative !== 0) return 1;
+
+ var res = this.ucmp(num);
+ if (this.negative !== 0) return -res | 0;
+ 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;
+ 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;
+ };
+
+ BN.prototype.gtn = function gtn (num) {
+ return this.cmpn(num) === 1;
+ };
+
+ BN.prototype.gt = function gt (num) {
+ return this.cmp(num) === 1;
+ };
+
+ BN.prototype.gten = function gten (num) {
+ return this.cmpn(num) >= 0;
+ };
+
+ BN.prototype.gte = function gte (num) {
+ return this.cmp(num) >= 0;
+ };
+
+ BN.prototype.ltn = function ltn (num) {
+ return this.cmpn(num) === -1;
+ };
+
+ BN.prototype.lt = function lt (num) {
+ return this.cmp(num) === -1;
+ };
+
+ BN.prototype.lten = function lten (num) {
+ return this.cmpn(num) <= 0;
+ };
+
+ BN.prototype.lte = function lte (num) {
+ return this.cmp(num) <= 0;
+ };
+
+ BN.prototype.eqn = function eqn (num) {
+ return this.cmpn(num) === 0;
+ };
+
+ BN.prototype.eq = function eq (num) {
+ return this.cmp(num) === 0;
+ };
+
+ //
+ // A reduce context, could be using montgomery or something better, depending
+ // on the `m` itself.
+ //
+ BN.red = function red (num) {
+ return new Red(num);
+ };
+
+ BN.prototype.toRed = function toRed (ctx) {
+ assert(!this.red, 'Already a number in reduction context');
+ assert(this.negative === 0, 'red works only with positives');
+ return ctx.convertTo(this)._forceRed(ctx);
+ };
+
+ BN.prototype.fromRed = function fromRed () {
+ assert(this.red, 'fromRed works only with numbers in reduction context');
+ return this.red.convertFrom(this);
+ };
+
+ BN.prototype._forceRed = function _forceRed (ctx) {
+ this.red = ctx;
+ return this;
+ };
+
+ BN.prototype.forceRed = function forceRed (ctx) {
+ assert(!this.red, 'Already a number in reduction context');
+ return this._forceRed(ctx);
+ };
+
+ BN.prototype.redAdd = function redAdd (num) {
+ assert(this.red, 'redAdd works only with red numbers');
+ return this.red.add(this, num);
+ };
+
+ BN.prototype.redIAdd = function redIAdd (num) {
+ assert(this.red, 'redIAdd works only with red numbers');
+ return this.red.iadd(this, num);
+ };
+
+ BN.prototype.redSub = function redSub (num) {
+ assert(this.red, 'redSub works only with red numbers');
+ return this.red.sub(this, num);
+ };
+
+ BN.prototype.redISub = function redISub (num) {
+ assert(this.red, 'redISub works only with red numbers');
+ return this.red.isub(this, num);
+ };
+
+ BN.prototype.redShl = function redShl (num) {
+ assert(this.red, 'redShl works only with red numbers');
+ return this.red.shl(this, num);
+ };
+
+ BN.prototype.redMul = function redMul (num) {
+ assert(this.red, 'redMul works only with red numbers');
+ this.red._verify2(this, num);
+ return this.red.mul(this, num);
+ };
+
+ BN.prototype.redIMul = function redIMul (num) {
+ assert(this.red, 'redMul works only with red numbers');
+ this.red._verify2(this, num);
+ return this.red.imul(this, num);
+ };
+
+ BN.prototype.redSqr = function redSqr () {
+ assert(this.red, 'redSqr works only with red numbers');
+ this.red._verify1(this);
+ return this.red.sqr(this);
+ };
+
+ BN.prototype.redISqr = function redISqr () {
+ assert(this.red, 'redISqr works only with red numbers');
+ this.red._verify1(this);
+ return this.red.isqr(this);
+ };
+
+ // Square root over p
+ BN.prototype.redSqrt = function redSqrt () {
+ assert(this.red, 'redSqrt works only with red numbers');
+ this.red._verify1(this);
+ return this.red.sqrt(this);
+ };
+
+ BN.prototype.redInvm = function redInvm () {
+ assert(this.red, 'redInvm works only with red numbers');
+ this.red._verify1(this);
+ return this.red.invm(this);
+ };
+
+ // Return negative clone of `this` % `red modulo`
+ BN.prototype.redNeg = function redNeg () {
+ assert(this.red, 'redNeg works only with red numbers');
+ this.red._verify1(this);
+ return this.red.neg(this);
+ };
+
+ BN.prototype.redPow = function redPow (num) {
+ assert(this.red && !num.red, 'redPow(normalNum)');
+ this.red._verify1(this);
+ return this.red.pow(this, num);
+ };
+
+ // Prime numbers with efficient reduction
+ var primes = {
+ k256: null,
+ p224: null,
+ p192: null,
+ p25519: null
+ };
+
+ // Pseudo-Mersenne prime
+ function MPrime (name, p) {
+ // P = 2 ^ N - K
+ this.name = name;
+ this.p = new BN(p, 16);
+ this.n = this.p.bitLength();
+ this.k = new BN(1).iushln(this.n).isub(this.p);
+
+ this.tmp = this._tmp();
+ }
+
+ MPrime.prototype._tmp = function _tmp () {
+ var tmp = new BN(null);
+ tmp.words = new Array(Math.ceil(this.n / 13));
+ return tmp;
+ };
+
+ MPrime.prototype.ireduce = function ireduce (num) {
+ // Assumes that `num` is less than `P^2`
+ // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)
+ var r = num;
+ var rlen;
+
+ do {
+ this.split(r, this.tmp);
+ r = this.imulK(r);
+ r = r.iadd(this.tmp);
+ rlen = r.bitLength();
+ } while (rlen > this.n);
+
+ var cmp = rlen < this.n ? -1 : r.ucmp(this.p);
+ if (cmp === 0) {
+ r.words[0] = 0;
+ r.length = 1;
+ } else if (cmp > 0) {
+ r.isub(this.p);
+ } else {
+ if (r.strip !== undefined) {
+ // r is BN v4 instance
+ r.strip();
+ } else {
+ // r is BN v5 instance
+ r._strip();
+ }
+ }
+
+ return r;
+ };
+
+ MPrime.prototype.split = function split (input, out) {
+ input.iushrn(this.n, 0, out);
+ };
+
+ MPrime.prototype.imulK = function imulK (num) {
+ return num.imul(this.k);
+ };
+
+ function K256 () {
+ MPrime.call(
+ this,
+ 'k256',
+ 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');
+ }
+ inherits(K256, MPrime);
+
+ K256.prototype.split = function split (input, output) {
+ // 256 = 9 * 26 + 22
+ var mask = 0x3fffff;
+
+ var outLen = Math.min(input.length, 9);
+ for (var i = 0; i < outLen; i++) {
+ output.words[i] = input.words[i];
+ }
+ output.length = outLen;
+
+ if (input.length <= 9) {
+ input.words[0] = 0;
+ input.length = 1;
+ return;
+ }
+
+ // Shift by 9 limbs
+ var prev = input.words[9];
+ output.words[output.length++] = prev & mask;
+
+ for (i = 10; i < input.length; i++) {
+ var next = input.words[i] | 0;
+ input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);
+ prev = next;
+ }
+ prev >>>= 22;
+ input.words[i - 10] = prev;
+ if (prev === 0 && input.length > 10) {
+ input.length -= 10;
+ } else {
+ input.length -= 9;
+ }
+ };
+
+ K256.prototype.imulK = function imulK (num) {
+ // K = 0x1000003d1 = [ 0x40, 0x3d1 ]
+ num.words[num.length] = 0;
+ num.words[num.length + 1] = 0;
+ num.length += 2;
+
+ // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390
+ var lo = 0;
+ for (var i = 0; i < num.length; i++) {
+ var w = num.words[i] | 0;
+ lo += w * 0x3d1;
+ num.words[i] = lo & 0x3ffffff;
+ lo = w * 0x40 + ((lo / 0x4000000) | 0);
+ }
+
+ // Fast length reduction
+ if (num.words[num.length - 1] === 0) {
+ num.length--;
+ if (num.words[num.length - 1] === 0) {
+ num.length--;
+ }
+ }
+ return num;
+ };
+
+ function P224 () {
+ MPrime.call(
+ this,
+ 'p224',
+ 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');
+ }
+ inherits(P224, MPrime);
+
+ function P192 () {
+ MPrime.call(
+ this,
+ 'p192',
+ 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');
+ }
+ inherits(P192, MPrime);
+
+ function P25519 () {
+ // 2 ^ 255 - 19
+ MPrime.call(
+ this,
+ '25519',
+ '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');
+ }
+ inherits(P25519, MPrime);
+
+ P25519.prototype.imulK = function imulK (num) {
+ // K = 0x13
+ var carry = 0;
+ for (var i = 0; i < num.length; i++) {
+ var hi = (num.words[i] | 0) * 0x13 + carry;
+ var lo = hi & 0x3ffffff;
+ hi >>>= 26;
+
+ num.words[i] = lo;
+ carry = hi;
+ }
+ if (carry !== 0) {
+ num.words[num.length++] = carry;
+ }
+ return num;
+ };
+
+ // Exported mostly for testing purposes, use plain name instead
+ BN._prime = function prime (name) {
+ // Cached version of prime
+ if (primes[name]) return primes[name];
+
+ var prime;
+ if (name === 'k256') {
+ prime = new K256();
+ } else if (name === 'p224') {
+ prime = new P224();
+ } else if (name === 'p192') {
+ prime = new P192();
+ } else if (name === 'p25519') {
+ prime = new P25519();
+ } else {
+ throw new Error('Unknown prime ' + name);
+ }
+ primes[name] = prime;
+
+ return prime;
+ };
+
+ //
+ // Base reduction engine
+ //
+ function Red (m) {
+ if (typeof m === 'string') {
+ var prime = BN._prime(m);
+ this.m = prime.p;
+ this.prime = prime;
+ } else {
+ assert(m.gtn(1), 'modulus must be greater than 1');
+ this.m = m;
+ this.prime = null;
+ }
+ }
+
+ Red.prototype._verify1 = function _verify1 (a) {
+ assert(a.negative === 0, 'red works only with positives');
+ assert(a.red, 'red works only with red numbers');
+ };
+
+ Red.prototype._verify2 = function _verify2 (a, b) {
+ assert((a.negative | b.negative) === 0, 'red works only with positives');
+ assert(a.red && a.red === b.red,
+ 'red works only with red numbers');
+ };
+
+ Red.prototype.imod = function imod (a) {
+ if (this.prime) return this.prime.ireduce(a)._forceRed(this);
+ return a.umod(this.m)._forceRed(this);
+ };
+
+ Red.prototype.neg = function neg (a) {
+ if (a.isZero()) {
+ return a.clone();
+ }
+
+ return this.m.sub(a)._forceRed(this);
+ };
+
+ Red.prototype.add = function add (a, b) {
+ this._verify2(a, b);
+
+ var res = a.add(b);
+ if (res.cmp(this.m) >= 0) {
+ res.isub(this.m);
+ }
+ return res._forceRed(this);
+ };
+
+ Red.prototype.iadd = function iadd (a, b) {
+ this._verify2(a, b);
+
+ var res = a.iadd(b);
+ if (res.cmp(this.m) >= 0) {
+ res.isub(this.m);
+ }
+ return res;
+ };
+
+ Red.prototype.sub = function sub (a, b) {
+ this._verify2(a, b);
+
+ var res = a.sub(b);
+ if (res.cmpn(0) < 0) {
+ res.iadd(this.m);
+ }
+ return res._forceRed(this);
+ };
+
+ Red.prototype.isub = function isub (a, b) {
+ this._verify2(a, b);
+
+ var res = a.isub(b);
+ if (res.cmpn(0) < 0) {
+ res.iadd(this.m);
+ }
+ return res;
+ };
+
+ Red.prototype.shl = function shl (a, num) {
+ this._verify1(a);
+ return this.imod(a.ushln(num));
+ };
+
+ Red.prototype.imul = function imul (a, b) {
+ this._verify2(a, b);
+ return this.imod(a.imul(b));
+ };
+
+ Red.prototype.mul = function mul (a, b) {
+ this._verify2(a, b);
+ return this.imod(a.mul(b));
+ };
+
+ Red.prototype.isqr = function isqr (a) {
+ return this.imul(a, a.clone());
+ };
+
+ Red.prototype.sqr = function sqr (a) {
+ return this.mul(a, a);
+ };
+
+ Red.prototype.sqrt = function sqrt (a) {
+ if (a.isZero()) return a.clone();
+
+ var mod3 = this.m.andln(3);
+ assert(mod3 % 2 === 1);
+
+ // Fast case
+ if (mod3 === 3) {
+ var pow = this.m.add(new BN(1)).iushrn(2);
+ return this.pow(a, pow);
+ }
+
+ // Tonelli-Shanks algorithm (Totally unoptimized and slow)
+ //
+ // Find Q and S, that Q * 2 ^ S = (P - 1)
+ var q = this.m.subn(1);
+ var s = 0;
+ while (!q.isZero() && q.andln(1) === 0) {
+ s++;
+ q.iushrn(1);
+ }
+ assert(!q.isZero());
+
+ var one = new BN(1).toRed(this);
+ var nOne = one.redNeg();
+
+ // Find quadratic non-residue
+ // NOTE: Max is such because of generalized Riemann hypothesis.
+ var lpow = this.m.subn(1).iushrn(1);
+ var z = this.m.bitLength();
+ z = new BN(2 * z * z).toRed(this);
+
+ while (this.pow(z, lpow).cmp(nOne) !== 0) {
+ z.redIAdd(nOne);
+ }
+
+ var c = this.pow(z, q);
+ var r = this.pow(a, q.addn(1).iushrn(1));
+ var t = this.pow(a, q);
+ var m = s;
+ while (t.cmp(one) !== 0) {
+ var tmp = t;
+ for (var i = 0; tmp.cmp(one) !== 0; i++) {
+ tmp = tmp.redSqr();
+ }
+ assert(i < m);
+ var b = this.pow(c, new BN(1).iushln(m - i - 1));
+
+ r = r.redMul(b);
+ c = b.redSqr();
+ t = t.redMul(c);
+ m = i;
+ }
+
+ return r;
+ };
+
+ Red.prototype.invm = function invm (a) {
+ var inv = a._invmp(this.m);
+ if (inv.negative !== 0) {
+ inv.negative = 0;
+ return this.imod(inv).redNeg();
+ } else {
+ return this.imod(inv);
+ }
+ };
+
+ Red.prototype.pow = function pow (a, num) {
+ if (num.isZero()) return new BN(1).toRed(this);
+ if (num.cmpn(1) === 0) return a.clone();
+
+ var windowSize = 4;
+ var wnd = new Array(1 << windowSize);
+ wnd[0] = new BN(1).toRed(this);
+ wnd[1] = a;
+ for (var i = 2; i < wnd.length; i++) {
+ wnd[i] = this.mul(wnd[i - 1], a);
+ }
+
+ var res = wnd[0];
+ var current = 0;
+ var currentLen = 0;
+ var start = num.bitLength() % 26;
+ if (start === 0) {
+ start = 26;
+ }
+
+ for (i = num.length - 1; i >= 0; i--) {
+ var word = num.words[i];
+ for (var j = start - 1; j >= 0; j--) {
+ var bit = (word >> j) & 1;
+ if (res !== wnd[0]) {
+ res = this.sqr(res);
+ }
+
+ if (bit === 0 && current === 0) {
+ currentLen = 0;
+ continue;
+ }
+
+ current <<= 1;
+ current |= bit;
+ currentLen++;
+ if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;
+
+ res = this.mul(res, wnd[current]);
+ currentLen = 0;
+ current = 0;
+ }
+ start = 26;
+ }
+
+ return res;
+ };
+
+ Red.prototype.convertTo = function convertTo (num) {
+ var r = num.umod(this.m);
+
+ return r === num ? r.clone() : r;
+ };
+
+ Red.prototype.convertFrom = function convertFrom (num) {
+ var res = num.clone();
+ res.red = null;
+ return res;
+ };
+
+ //
+ // Montgomery method engine
+ //
+
+ BN.mont = function mont (num) {
+ return new Mont(num);
+ };
+
+ function Mont (m) {
+ Red.call(this, m);
+
+ this.shift = this.m.bitLength();
+ if (this.shift % 26 !== 0) {
+ this.shift += 26 - (this.shift % 26);
+ }
+
+ this.r = new BN(1).iushln(this.shift);
+ this.r2 = this.imod(this.r.sqr());
+ this.rinv = this.r._invmp(this.m);
+
+ this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);
+ this.minv = this.minv.umod(this.r);
+ this.minv = this.r.sub(this.minv);
+ }
+ inherits(Mont, Red);
+
+ Mont.prototype.convertTo = function convertTo (num) {
+ return this.imod(num.ushln(this.shift));
+ };
+
+ Mont.prototype.convertFrom = function convertFrom (num) {
+ var r = this.imod(num.mul(this.rinv));
+ r.red = null;
+ return r;
+ };
+
+ Mont.prototype.imul = function imul (a, b) {
+ if (a.isZero() || b.isZero()) {
+ a.words[0] = 0;
+ a.length = 1;
+ return a;
+ }
+
+ var t = a.imul(b);
+ var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
+ var u = t.isub(c).iushrn(this.shift);
+ var res = u;
+
+ if (u.cmp(this.m) >= 0) {
+ res = u.isub(this.m);
+ } else if (u.cmpn(0) < 0) {
+ res = u.iadd(this.m);
+ }
+
+ return res._forceRed(this);
+ };
+
+ Mont.prototype.mul = function mul (a, b) {
+ if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);
+
+ var t = a.mul(b);
+ var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
+ var u = t.isub(c).iushrn(this.shift);
+ var res = u;
+ if (u.cmp(this.m) >= 0) {
+ res = u.isub(this.m);
+ } else if (u.cmpn(0) < 0) {
+ res = u.iadd(this.m);
+ }
+
+ return res._forceRed(this);
+ };
+
+ Mont.prototype.invm = function invm (a) {
+ // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R
+ var res = this.imod(a._invmp(this.m).mul(this.r2));
+ return res._forceRed(this);
+ };
+})(typeof module === 'undefined' || module, this);
diff --git a/node_modules/diffie-hellman/node_modules/bn.js/package.json b/node_modules/diffie-hellman/node_modules/bn.js/package.json
new file mode 100644
index 0000000..a6d3cf5
--- /dev/null
+++ b/node_modules/diffie-hellman/node_modules/bn.js/package.json
@@ -0,0 +1,64 @@
+{
+ "_from": "bn.js@^4.1.0",
+ "_id": "bn.js@4.11.9",
+ "_inBundle": false,
+ "_integrity": "sha512-E6QoYqCKZfgatHTdHzs1RRKP7ip4vvm+EyRUeE2RF0NblwVvb0p6jSVeNTOFxPn26QXN2o6SMfNxKp6kU8zQaw==",
+ "_location": "/diffie-hellman/bn.js",
+ "_phantomChildren": {},
+ "_requested": {
+ "type": "range",
+ "registry": true,
+ "raw": "bn.js@^4.1.0",
+ "name": "bn.js",
+ "escapedName": "bn.js",
+ "rawSpec": "^4.1.0",
+ "saveSpec": null,
+ "fetchSpec": "^4.1.0"
+ },
+ "_requiredBy": [
+ "/diffie-hellman"
+ ],
+ "_resolved": "https://registry.npmjs.org/bn.js/-/bn.js-4.11.9.tgz",
+ "_shasum": "26d556829458f9d1e81fc48952493d0ba3507828",
+ "_spec": "bn.js@^4.1.0",
+ "_where": "/home/pruss/Dev/3-minute-website/node_modules/diffie-hellman",
+ "author": {
+ "name": "Fedor Indutny",
+ "email": "fedor@indutny.com"
+ },
+ "browser": {
+ "buffer": false
+ },
+ "bugs": {
+ "url": "https://github.com/indutny/bn.js/issues"
+ },
+ "bundleDependencies": false,
+ "deprecated": false,
+ "description": "Big number implementation in pure javascript",
+ "devDependencies": {
+ "istanbul": "^0.3.5",
+ "mocha": "^2.1.0",
+ "semistandard": "^7.0.4"
+ },
+ "homepage": "https://github.com/indutny/bn.js",
+ "keywords": [
+ "BN",
+ "BigNum",
+ "Big number",
+ "Modulo",
+ "Montgomery"
+ ],
+ "license": "MIT",
+ "main": "lib/bn.js",
+ "name": "bn.js",
+ "repository": {
+ "type": "git",
+ "url": "git+ssh://git@github.com/indutny/bn.js.git"
+ },
+ "scripts": {
+ "lint": "semistandard",
+ "test": "npm run lint && npm run unit",
+ "unit": "mocha --reporter=spec test/*-test.js"
+ },
+ "version": "4.11.9"
+}
diff --git a/node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo.js b/node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo.js
new file mode 100644
index 0000000..8b456c7
--- /dev/null
+++ b/node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo.js
@@ -0,0 +1,65 @@
+'use strict';
+
+// NOTE: This could be potentionally used to generate loop-less multiplications
+function genCombMulTo (alen, blen) {
+ var len = alen + blen - 1;
+ var src = [
+ 'var a = self.words;',
+ 'var b = num.words;',
+ 'var o = out.words;',
+ 'var c = 0;',
+ 'var lo;',
+ 'var mid;',
+ 'var hi;'
+ ];
+ for (var i = 0; i < alen; i++) {
+ src.push('var a' + i + ' = a[' + i + '] | 0;');
+ src.push('var al' + i + ' = a' + i + ' & 0x1fff;');
+ src.push('var ah' + i + ' = a' + i + ' >>> 13;');
+ }
+ for (i = 0; i < blen; i++) {
+ src.push('var b' + i + ' = b[' + i + '] | 0;');
+ src.push('var bl' + i + ' = b' + i + ' & 0x1fff;');
+ src.push('var bh' + i + ' = b' + i + ' >>> 13;');
+ }
+ src.push('');
+ src.push('out.negative = self.negative ^ num.negative;');
+ src.push('out.length = ' + len + ';');
+
+ for (var k = 0; k < len; k++) {
+ var minJ = Math.max(0, k - alen + 1);
+ var maxJ = Math.min(k, blen - 1);
+
+ src.push('\/* k = ' + k + ' *\/');
+ src.push('var w' + k + ' = c;');
+ src.push('c = 0;');
+ for (var j = minJ; j <= maxJ; j++) {
+ i = k - j;
+
+ src.push('lo = Math.imul(al' + i + ', bl' + j + ');');
+ src.push('mid = Math.imul(al' + i + ', bh' + j + ');');
+ src.push('mid = (mid + Math.imul(ah' + i + ', bl' + j + ')) | 0;');
+ src.push('hi = Math.imul(ah' + i + ', bh' + j + ');');
+
+ src.push('w' + k + ' = (w' + k + ' + lo) | 0;');
+ src.push('w' + k + ' = (w' + k + ' + ((mid & 0x1fff) << 13)) | 0;');
+ src.push('c = (c + hi) | 0;');
+ src.push('c = (c + (mid >>> 13)) | 0;');
+ src.push('c = (c + (w' + k + ' >>> 26)) | 0;');
+ src.push('w' + k + ' &= 0x3ffffff;');
+ }
+ }
+ // Store in separate step for better memory access
+ for (k = 0; k < len; k++) {
+ src.push('o[' + k + '] = w' + k + ';');
+ }
+ src.push('if (c !== 0) {',
+ ' o[' + k + '] = c;',
+ ' out.length++;',
+ '}',
+ 'return out;');
+
+ return src.join('\n');
+}
+
+console.log(genCombMulTo(10, 10));
diff --git a/node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo10.js b/node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo10.js
new file mode 100644
index 0000000..cf2e6e8
--- /dev/null
+++ b/node_modules/diffie-hellman/node_modules/bn.js/util/genCombMulTo10.js
@@ -0,0 +1,65 @@
+'use strict';
+
+function genCombMulTo (alen, blen) {
+ var len = alen + blen - 1;
+ var src = [
+ 'var a = self.words;',
+ 'var b = num.words;',
+ 'var o = out.words;',
+ 'var c = 0;',
+ 'var lo;',
+ 'var mid;',
+ 'var hi;'
+ ];
+ for (var i = 0; i < alen; i++) {
+ src.push('var a' + i + ' = a[' + i + '] | 0;');
+ src.push('var al' + i + ' = a' + i + ' & 0x1fff;');
+ src.push('var ah' + i + ' = a' + i + ' >>> 13;');
+ }
+ for (i = 0; i < blen; i++) {
+ src.push('var b' + i + ' = b[' + i + '] | 0;');
+ src.push('var bl' + i + ' = b' + i + ' & 0x1fff;');
+ src.push('var bh' + i + ' = b' + i + ' >>> 13;');
+ }
+ src.push('');
+ src.push('out.negative = self.negative ^ num.negative;');
+ src.push('out.length = ' + len + ';');
+
+ for (var k = 0; k < len; k++) {
+ var minJ = Math.max(0, k - alen + 1);
+ var maxJ = Math.min(k, blen - 1);
+
+ src.push('\/* k = ' + k + ' *\/');
+ src.push('lo = Math.imul(al' + (k - minJ) + ', bl' + minJ + ');');
+ src.push('mid = Math.imul(al' + (k - minJ) + ', bh' + minJ + ');');
+ src.push(
+ 'mid = (mid + Math.imul(ah' + (k - minJ) + ', bl' + minJ + ')) | 0;');
+ src.push('hi = Math.imul(ah' + (k - minJ) + ', bh' + minJ + ');');
+
+ for (var j = minJ + 1; j <= maxJ; j++) {
+ i = k - j;
+
+ src.push('lo = (lo + Math.imul(al' + i + ', bl' + j + ')) | 0;');
+ src.push('mid = (mid + Math.imul(al' + i + ', bh' + j + ')) | 0;');
+ src.push('mid = (mid + Math.imul(ah' + i + ', bl' + j + ')) | 0;');
+ src.push('hi = (hi + Math.imul(ah' + i + ', bh' + j + ')) | 0;');
+ }
+
+ src.push('var w' + k + ' = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;');
+ src.push('c = (((hi + (mid >>> 13)) | 0) + (w' + k + ' >>> 26)) | 0;');
+ src.push('w' + k + ' &= 0x3ffffff;');
+ }
+ // Store in separate step for better memory access
+ for (k = 0; k < len; k++) {
+ src.push('o[' + k + '] = w' + k + ';');
+ }
+ src.push('if (c !== 0) {',
+ ' o[' + k + '] = c;',
+ ' out.length++;',
+ '}',
+ 'return out;');
+
+ return src.join('\n');
+}
+
+console.log(genCombMulTo(10, 10));
diff --git a/node_modules/diffie-hellman/package.json b/node_modules/diffie-hellman/package.json
new file mode 100644
index 0000000..3b6b8fc
--- /dev/null
+++ b/node_modules/diffie-hellman/package.json
@@ -0,0 +1,62 @@
+{
+ "_from": "diffie-hellman@^5.0.0",
+ "_id": "diffie-hellman@5.0.3",
+ "_inBundle": false,
+ "_integrity": "sha512-kqag/Nl+f3GwyK25fhUMYj81BUOrZ9IuJsjIcDE5icNM9FJHAVm3VcUDxdLPoQtTuUylWm6ZIknYJwwaPxsUzg==",
+ "_location": "/diffie-hellman",
+ "_phantomChildren": {},
+ "_requested": {
+ "type": "range",
+ "registry": true,
+ "raw": "diffie-hellman@^5.0.0",
+ "name": "diffie-hellman",
+ "escapedName": "diffie-hellman",
+ "rawSpec": "^5.0.0",
+ "saveSpec": null,
+ "fetchSpec": "^5.0.0"
+ },
+ "_requiredBy": [
+ "/crypto-browserify"
+ ],
+ "_resolved": "https://registry.npmjs.org/diffie-hellman/-/diffie-hellman-5.0.3.tgz",
+ "_shasum": "40e8ee98f55a2149607146921c63e1ae5f3d2875",
+ "_spec": "diffie-hellman@^5.0.0",
+ "_where": "/home/pruss/Dev/3-minute-website/node_modules/crypto-browserify",
+ "author": {
+ "name": "Calvin Metcalf"
+ },
+ "browser": "browser.js",
+ "bugs": {
+ "url": "https://github.com/crypto-browserify/diffie-hellman/issues"
+ },
+ "bundleDependencies": false,
+ "dependencies": {
+ "bn.js": "^4.1.0",
+ "miller-rabin": "^4.0.0",
+ "randombytes": "^2.0.0"
+ },
+ "deprecated": false,
+ "description": "pure js diffie-hellman",
+ "devDependencies": {
+ "tap-spec": "^1.0.1",
+ "tape": "^3.0.1"
+ },
+ "homepage": "https://github.com/crypto-browserify/diffie-hellman",
+ "keywords": [
+ "diffie",
+ "hellman",
+ "diffiehellman",
+ "dh"
+ ],
+ "license": "MIT",
+ "main": "index.js",
+ "name": "diffie-hellman",
+ "repository": {
+ "type": "git",
+ "url": "git+https://github.com/crypto-browserify/diffie-hellman.git"
+ },
+ "scripts": {
+ "test": "node test.js | tspec"
+ },
+ "version": "5.0.3"
+}
diff --git a/node_modules/diffie-hellman/readme.md b/node_modules/diffie-hellman/readme.md
new file mode 100644
index 0000000..afba499
--- /dev/null
+++ b/node_modules/diffie-hellman/readme.md
@@ -0,0 +1,4 @@
+diffie hellman [![Build Status](https://travis-ci.org/crypto-browserify/diffie-hellman.svg)](https://travis-ci.org/crypto-browserify/diffie-hellman)
+====
+
+pure js diffie-hellman, same api as node, most hard parts thanks to [bn.js](https://www.npmjs.org/package/bn.js) by [@indutny](https://github.com/indutny). In node just returns an object with `crypto.createDiffieHellman` and `crypto.getDiffieHellman` in the browser returns a shim. To require the pure JavaScript one in node `require('diffie-hellman/browser');`; \ No newline at end of file
generated by cgit v1.2.3 (git 2.25.1) at 2025-08-23 08:53:36 +0000