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1/* 1/*
2 2
3Copyright 2008-2011 Clipperz Srl 3Copyright 2008-2011 Clipperz Srl
4 4
5This file is part of Clipperz's Javascript Crypto Library. 5This file is part of Clipperz Community Edition.
6Javascript Crypto Library provides web developers with an extensive 6Clipperz Community Edition is an online password manager.
7and efficient set of cryptographic functions. The library aims to
8obtain maximum execution speed while preserving modularity and
9reusability.
10For further information about its features and functionalities please 7For further information about its features and functionalities please
11refer to http://www.clipperz.com 8refer to http://www.clipperz.com.
12 9
13* Javascript Crypto Library is free software: you can redistribute 10* Clipperz Community Edition is free software: you can redistribute
14 it and/or modify it under the terms of the GNU Affero General Public 11 it and/or modify it under the terms of the GNU Affero General Public
15 License as published by the Free Software Foundation, either version 12 License as published by the Free Software Foundation, either version
16 3 of the License, or (at your option) any later version. 13 3 of the License, or (at your option) any later version.
17 14
18* Javascript Crypto Library is distributed in the hope that it will 15* Clipperz Community Edition is distributed in the hope that it will
19 be useful, but WITHOUT ANY WARRANTY; without even the implied 16 be useful, but WITHOUT ANY WARRANTY; without even the implied
20 warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. 17 warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
21 See the GNU Affero General Public License for more details. 18 See the GNU Affero General Public License for more details.
22 19
23* You should have received a copy of the GNU Affero General Public 20* You should have received a copy of the GNU Affero General Public
24 License along with Javascript Crypto Library. If not, see 21 License along with Clipperz Community Edition. If not, see
25 <http://www.gnu.org/licenses/>. 22 <http://www.gnu.org/licenses/>.
26 23
27*/ 24*/
28 25
29if (typeof(Clipperz) == 'undefined') { Clipperz = {}; } 26if (typeof(Clipperz) == 'undefined') { Clipperz = {}; }
30if (typeof(Clipperz.Crypto) == 'undefined') { Clipperz.Crypto = {}; } 27if (typeof(Clipperz.Crypto) == 'undefined') { Clipperz.Crypto = {}; }
31 28
32//############################################################################# 29//#############################################################################
33 //Downloaded on March 05, 2007 from http://www.leemon.com/crypto/BigInt.js 30 //Downloaded on March 05, 2007 from http://www.leemon.com/crypto/BigInt.js
34//############################################################################# 31//#############################################################################
35 32
36 33
37//////////////////////////////////////////////////////////////////////////////////////// 34////////////////////////////////////////////////////////////////////////////////////////
38// Big Integer Library v. 5.0 35// Big Integer Library v. 5.0
39// Created 2000, last modified 2006 36// Created 2000, last modified 2006
40// Leemon Baird 37// Leemon Baird
41// www.leemon.com 38// www.leemon.com
42// 39//
43// This file is public domain. You can use it for any purpose without restriction. 40// This file is public domain. You can use it for any purpose without restriction.
44// I do not guarantee that it is correct, so use it at your own risk. If you use 41// I do not guarantee that it is correct, so use it at your own risk. If you use
45// it for something interesting, I'd appreciate hearing about it. If you find 42// it for something interesting, I'd appreciate hearing about it. If you find
46// any bugs or make any improvements, I'd appreciate hearing about those too. 43// any bugs or make any improvements, I'd appreciate hearing about those too.
47// It would also be nice if my name and address were left in the comments. 44// It would also be nice if my name and address were left in the comments.
48// But none of that is required. 45// But none of that is required.
49// 46//
50// This code defines a bigInt library for arbitrary-precision integers. 47// This code defines a bigInt library for arbitrary-precision integers.
51// A bigInt is an array of integers storing the value in chunks of bpe bits, 48// A bigInt is an array of integers storing the value in chunks of bpe bits,
52// little endian (buff[0] is the least significant word). 49// little endian (buff[0] is the least significant word).
53// Negative bigInts are stored two's complement. 50// Negative bigInts are stored two's complement.
54// Some functions assume their parameters have at least one leading zero element. 51// Some functions assume their parameters have at least one leading zero element.
55// Functions with an underscore at the end of the name have unpredictable behavior in case of overflow, 52// Functions with an underscore at the end of the name have unpredictable behavior in case of overflow,
56// so the caller must make sure overflow won't happen. 53// so the caller must make sure overflow won't happen.
57// For each function where a parameter is modified, that same 54// For each function where a parameter is modified, that same
58// variable must not be used as another argument too. 55// variable must not be used as another argument too.
59// So, you cannot square x by doing multMod_(x,x,n). 56// So, you cannot square x by doing multMod_(x,x,n).
60// You must use squareMod_(x,n) instead, or do y=dup(x); multMod_(x,y,n). 57// You must use squareMod_(x,n) instead, or do y=dup(x); multMod_(x,y,n).
61// 58//
62// These functions are designed to avoid frequent dynamic memory allocation in the inner loop. 59// These functions are designed to avoid frequent dynamic memory allocation in the inner loop.
63// For most functions, if it needs a BigInt as a local variable it will actually use 60// For most functions, if it needs a BigInt as a local variable it will actually use
64// a global, and will only allocate to it when it's not the right size. This ensures 61// a global, and will only allocate to it when it's not the right size. This ensures
65// that when a function is called repeatedly with same-sized parameters, it only allocates 62// that when a function is called repeatedly with same-sized parameters, it only allocates
66// memory on the first call. 63// memory on the first call.
67// 64//
68// Note that for cryptographic purposes, the calls to Math.random() must 65// Note that for cryptographic purposes, the calls to Math.random() must
69// be replaced with calls to a better pseudorandom number generator. 66// be replaced with calls to a better pseudorandom number generator.
70// 67//
71// In the following, "bigInt" means a bigInt with at least one leading zero element, 68// In the following, "bigInt" means a bigInt with at least one leading zero element,
72// and "integer" means a nonnegative integer less than radix. In some cases, integer 69// and "integer" means a nonnegative integer less than radix. In some cases, integer
73// can be negative. Negative bigInts are 2s complement. 70// can be negative. Negative bigInts are 2s complement.
74// 71//
75// The following functions do not modify their inputs, but dynamically allocate memory every time they are called: 72// The following functions do not modify their inputs, but dynamically allocate memory every time they are called:
76// 73//
77// function bigInt2str(x,base) //convert a bigInt into a string in a given base, from base 2 up to base 95 74// function bigInt2str(x,base) //convert a bigInt into a string in a given base, from base 2 up to base 95
78// function dup(x) //returns a copy of bigInt x 75// function dup(x) //returns a copy of bigInt x
79// function findPrimes(n) //return array of all primes less than integer n 76// function findPrimes(n) //return array of all primes less than integer n
80// function int2bigInt(t,n,m) //convert integer t to a bigInt with at least n bits and m array elements 77// function int2bigInt(t,n,m) //convert integer t to a bigInt with at least n bits and m array elements
81// function int2bigInt(s,b,n,m) //convert string s in base b to a bigInt with at least n bits and m array elements 78// function int2bigInt(s,b,n,m) //convert string s in base b to a bigInt with at least n bits and m array elements
82// function trim(x,k) //return a copy of x with exactly k leading zero elements 79// function trim(x,k) //return a copy of x with exactly k leading zero elements
83// 80//
84// The following functions do not modify their inputs, so there is never a problem with the result being too big: 81// The following functions do not modify their inputs, so there is never a problem with the result being too big:
85// 82//
86// function bitSize(x) //returns how many bits long the bigInt x is, not counting leading zeros 83// function bitSize(x) //returns how many bits long the bigInt x is, not counting leading zeros
87// function equals(x,y) //is the bigInt x equal to the bigint y? 84// function equals(x,y) //is the bigInt x equal to the bigint y?
88// function equalsInt(x,y) //is bigint x equal to integer y? 85// function equalsInt(x,y) //is bigint x equal to integer y?
89// function greater(x,y) //is x>y? (x and y are nonnegative bigInts) 86// function greater(x,y) //is x>y? (x and y are nonnegative bigInts)
90// function greaterShift(x,y,shift)//is (x <<(shift*bpe)) > y? 87// function greaterShift(x,y,shift)//is (x <<(shift*bpe)) > y?
91// function isZero(x) //is the bigInt x equal to zero? 88// function isZero(x) //is the bigInt x equal to zero?
92// function millerRabin(x,b) //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime (as opposed to definitely composite)? 89// function millerRabin(x,b) //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime (as opposed to definitely composite)?
93// function modInt(x,n) //return x mod n for bigInt x and integer n. 90// function modInt(x,n) //return x mod n for bigInt x and integer n.
94// function negative(x) //is bigInt x negative? 91// function negative(x) //is bigInt x negative?
95// 92//
96// The following functions do not modify their inputs, but allocate memory and call functions with underscores 93// The following functions do not modify their inputs, but allocate memory and call functions with underscores
97// 94//
98// function add(x,y) //return (x+y) for bigInts x and y. 95// function add(x,y) //return (x+y) for bigInts x and y.
99// function addInt(x,n) //return (x+n) where x is a bigInt and n is an integer. 96// function addInt(x,n) //return (x+n) where x is a bigInt and n is an integer.
100// function expand(x,n) //return a copy of x with at least n elements, adding leading zeros if needed 97// function expand(x,n) //return a copy of x with at least n elements, adding leading zeros if needed
101// function inverseMod(x,n) //return (x**(-1) mod n) for bigInts x and n. If no inverse exists, it returns null 98// function inverseMod(x,n) //return (x**(-1) mod n) for bigInts x and n. If no inverse exists, it returns null
102// function mod(x,n) //return a new bigInt equal to (x mod n) for bigInts x and n. 99// function mod(x,n) //return a new bigInt equal to (x mod n) for bigInts x and n.
103// function mult(x,y) //return x*y for bigInts x and y. This is faster when y<x. 100// function mult(x,y) //return x*y for bigInts x and y. This is faster when y<x.
104// function multMod(x,y,n) //return (x*y mod n) for bigInts x,y,n. For greater speed, let y<x. 101// function multMod(x,y,n) //return (x*y mod n) for bigInts x,y,n. For greater speed, let y<x.
105// function powMod(x,y,n) //return (x**y mod n) where x,y,n are bigInts and ** is exponentiation. 0**0=1. Faster for odd n. 102// function powMod(x,y,n) //return (x**y mod n) where x,y,n are bigInts and ** is exponentiation. 0**0=1. Faster for odd n.
106// function randTruePrime(k) //return a new, random, k-bit, true prime using Maurer's algorithm. 103// function randTruePrime(k) //return a new, random, k-bit, true prime using Maurer's algorithm.
107// function sub(x,y) //return (x-y) for bigInts x and y. Negative answers will be 2s complement 104// function sub(x,y) //return (x-y) for bigInts x and y. Negative answers will be 2s complement
108// 105//
109// The following functions write a bigInt result to one of the parameters, but 106// The following functions write a bigInt result to one of the parameters, but
110// the result is never bigger than the original, so there can't be overflow problems: 107// the result is never bigger than the original, so there can't be overflow problems:
111// 108//
112// function divInt_(x,n) //do x=floor(x/n) for bigInt x and integer n, and return the remainder 109// function divInt_(x,n) //do x=floor(x/n) for bigInt x and integer n, and return the remainder
113// function GCD_(x,y) //set x to the greatest common divisor of bigInts x and y, (y is destroyed). 110// function GCD_(x,y) //set x to the greatest common divisor of bigInts x and y, (y is destroyed).
114// function halve_(x) //do x=floor(|x|/2)*sgn(x) for bigInt x in 2's complement 111// function halve_(x) //do x=floor(|x|/2)*sgn(x) for bigInt x in 2's complement
115// function mod_(x,n) //do x=x mod n for bigInts x and n. 112// function mod_(x,n) //do x=x mod n for bigInts x and n.
116// function rightShift_(x,n) //right shift bigInt x by n bits. 0 <= n < bpe. 113// function rightShift_(x,n) //right shift bigInt x by n bits. 0 <= n < bpe.
117// 114//
118// The following functions write a bigInt result to one of the parameters. The caller is responsible for 115// The following functions write a bigInt result to one of the parameters. The caller is responsible for
119// ensuring it is large enough to hold the result. 116// ensuring it is large enough to hold the result.
120// 117//