sat_docs: scripts/minifier/otr/dep/bigint.js annotate

annotate scripts/minifier/otr/dep/bigint.js @ 76:16ce0419a0e9

xep (jid mention): added "path" in Context parent description to make it more explicit + acknowledgements section

author	Goffi <goffi@goffi.org>
date	Sat, 16 Jan 2016 18:48:23 +0100
parents	1596660ddf72
children

rev	line source
12 1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1 ;(function (root, factory) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	3 if (typeof define === 'function' && define.amd) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	4 define(factory.bind(root, root.crypto \|\| root.msCrypto))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	5 } else if (typeof module !== 'undefined' && module.exports) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	6 module.exports = factory(require('crypto'))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	7 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	8 root.BigInt = factory(root.crypto \|\| root.msCrypto)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	9 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	10
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	11 }(this, function (crypto) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	12
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	13 ////////////////////////////////////////////////////////////////////////////////////////
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	14 // Big Integer Library v. 5.5
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	15 // Created 2000, last modified 2013
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	16 // Leemon Baird
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	17 // www.leemon.com
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	18 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	19 // Version history:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	20 // v 5.5 17 Mar 2013
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	21 // - two lines of a form like "if (x<0) x+=n" had the "if" changed to "while" to
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	22 // handle the case when x<-n. (Thanks to James Ansell for finding that bug)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	23 // v 5.4 3 Oct 2009
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	24 // - added "var i" to greaterShift() so i is not global. (Thanks to Péter Szabó for finding that bug)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	25 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	26 // v 5.3 21 Sep 2009
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	27 // - added randProbPrime(k) for probable primes
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	28 // - unrolled loop in mont_ (slightly faster)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	29 // - millerRabin now takes a bigInt parameter rather than an int
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	30 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	31 // v 5.2 15 Sep 2009
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	32 // - fixed capitalization in call to int2bigInt in randBigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	33 // (thanks to Emili Evripidou, Reinhold Behringer, and Samuel Macaleese for finding that bug)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	34 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	35 // v 5.1 8 Oct 2007
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	36 // - renamed inverseModInt_ to inverseModInt since it doesn't change its parameters
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	37 // - added functions GCD and randBigInt, which call GCD_ and randBigInt_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	38 // - fixed a bug found by Rob Visser (see comment with his name below)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	39 // - improved comments
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	40 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	41 // This file is public domain. You can use it for any purpose without restriction.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	42 // I do not guarantee that it is correct, so use it at your own risk. If you use
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	43 // it for something interesting, I'd appreciate hearing about it. If you find
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	44 // any bugs or make any improvements, I'd appreciate hearing about those too.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	45 // It would also be nice if my name and URL were left in the comments. But none
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	46 // of that is required.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	47 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	48 // This code defines a bigInt library for arbitrary-precision integers.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	49 // A bigInt is an array of integers storing the value in chunks of bpe bits,
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	50 // little endian (buff[0] is the least significant word).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	51 // Negative bigInts are stored two's complement. Almost all the functions treat
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	52 // bigInts as nonnegative. The few that view them as two's complement say so
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	53 // in their comments. Some functions assume their parameters have at least one
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	54 // leading zero element. Functions with an underscore at the end of the name put
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	55 // their answer into one of the arrays passed in, and have unpredictable behavior
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	56 // in case of overflow, so the caller must make sure the arrays are big enough to
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	57 // hold the answer. But the average user should never have to call any of the
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	58 // underscored functions. Each important underscored function has a wrapper function
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	59 // of the same name without the underscore that takes care of the details for you.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	60 // For each underscored function where a parameter is modified, that same variable
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	61 // must not be used as another argument too. So, you cannot square x by doing
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	62 // multMod_(x,x,n). You must use squareMod_(x,n) instead, or do y=dup(x); multMod_(x,y,n).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	63 // Or simply use the multMod(x,x,n) function without the underscore, where
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	64 // such issues never arise, because non-underscored functions never change
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	65 // their parameters; they always allocate new memory for the answer that is returned.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	66 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	67 // These functions are designed to avoid frequent dynamic memory allocation in the inner loop.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	68 // For most functions, if it needs a BigInt as a local variable it will actually use
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	69 // a global, and will only allocate to it only when it's not the right size. This ensures
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	70 // that when a function is called repeatedly with same-sized parameters, it only allocates
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	71 // memory on the first call.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	72 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	73 // Note that for cryptographic purposes, the calls to Math.random() must
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	74 // be replaced with calls to a better pseudorandom number generator.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	75 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	76 // In the following, "bigInt" means a bigInt with at least one leading zero element,
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	77 // and "integer" means a nonnegative integer less than radix. In some cases, integer
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	78 // can be negative. Negative bigInts are 2s complement.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	79 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	80 // The following functions do not modify their inputs.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	81 // Those returning a bigInt, string, or Array will dynamically allocate memory for that value.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	82 // Those returning a boolean will return the integer 0 (false) or 1 (true).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	83 // Those returning boolean or int will not allocate memory except possibly on the first
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	84 // time they're called with a given parameter size.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	85 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	86 // bigInt add(x,y) //return (x+y) for bigInts x and y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	87 // bigInt addInt(x,n) //return (x+n) where x is a bigInt and n is an integer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	88 // string bigInt2str(x,base) //return a string form of bigInt x in a given base, with 2 <= base <= 95
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	89 // int bitSize(x) //return how many bits long the bigInt x is, not counting leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	90 // bigInt dup(x) //return a copy of bigInt x
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	91 // boolean equals(x,y) //is the bigInt x equal to the bigint y?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	92 // boolean equalsInt(x,y) //is bigint x equal to integer y?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	93 // bigInt expand(x,n) //return a copy of x with at least n elements, adding leading zeros if needed
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	94 // Array findPrimes(n) //return array of all primes less than integer n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	95 // bigInt GCD(x,y) //return greatest common divisor of bigInts x and y (each with same number of elements).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	96 // boolean greater(x,y) //is x>y? (x and y are nonnegative bigInts)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	97 // boolean greaterShift(x,y,shift)//is (x <<(shift*bpe)) > y?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	98 // bigInt int2bigInt(t,n,m) //return a bigInt equal to integer t, with at least n bits and m array elements
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	99 // bigInt inverseMod(x,n) //return (x**(-1) mod n) for bigInts x and n. If no inverse exists, it returns null
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	100 // int inverseModInt(x,n) //return x**(-1) mod n, for integers x and n. Return 0 if there is no inverse
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	101 // boolean isZero(x) //is the bigInt x equal to zero?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	102 // boolean millerRabin(x,b) //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime? (b is bigInt, 1<b<x)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	103 // boolean millerRabinInt(x,b) //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime? (b is int, 1<b<x)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	104 // bigInt mod(x,n) //return a new bigInt equal to (x mod n) for bigInts x and n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	105 // int modInt(x,n) //return x mod n for bigInt x and integer n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	106 // bigInt mult(x,y) //return x*y for bigInts x and y. This is faster when y<x.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	107 // bigInt multMod(x,y,n) //return (x*y mod n) for bigInts x,y,n. For greater speed, let y<x.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	108 // boolean negative(x) //is bigInt x negative?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	109 // bigInt powMod(x,y,n) //return (xy mod n) where x,y,n are bigInts and is exponentiation. 0**0=1. Faster for odd n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	110 // bigInt randBigInt(n,s) //return an n-bit random BigInt (n>=1). If s=1, then the most significant of those n bits is set to 1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	111 // bigInt randTruePrime(k) //return a new, random, k-bit, true prime bigInt using Maurer's algorithm.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	112 // bigInt randProbPrime(k) //return a new, random, k-bit, probable prime bigInt (probability it's composite less than 2^-80).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	113 // bigInt str2bigInt(s,b,n,m) //return a bigInt for number represented in string s in base b with at least n bits and m array elements
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	114 // bigInt sub(x,y) //return (x-y) for bigInts x and y. Negative answers will be 2s complement
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	115 // bigInt trim(x,k) //return a copy of x with exactly k leading zero elements
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	116 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	117 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	118 // The following functions each have a non-underscored version, which most users should call instead.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	119 // These functions each write to a single parameter, and the caller is responsible for ensuring the array
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	120 // passed in is large enough to hold the result.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	121 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	122 // void addInt_(x,n) //do x=x+n where x is a bigInt and n is an integer
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	123 // void add_(x,y) //do x=x+y for bigInts x and y
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	124 // void copy_(x,y) //do x=y on bigInts x and y
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	125 // void copyInt_(x,n) //do x=n on bigInt x and integer n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	126 // void GCD_(x,y) //set x to the greatest common divisor of bigInts x and y, (y is destroyed). (This never overflows its array).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	127 // boolean inverseMod_(x,n) //do x=x**(-1) mod n, for bigInts x and n. Returns 1 (0) if inverse does (doesn't) exist
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	128 // void mod_(x,n) //do x=x mod n for bigInts x and n. (This never overflows its array).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	129 // void mult_(x,y) //do x=x*y for bigInts x and y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	130 // void multMod_(x,y,n) //do x=x*y mod n for bigInts x,y,n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	131 // void powMod_(x,y,n) //do x=xy mod n, where x,y,n are bigInts (n is odd) and is exponentiation. 0**0=1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	132 // void randBigInt_(b,n,s) //do b = an n-bit random BigInt. if s=1, then nth bit (most significant bit) is set to 1. n>=1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	133 // void randTruePrime_(ans,k) //do ans = a random k-bit true random prime (not just probable prime) with 1 in the msb.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	134 // void sub_(x,y) //do x=x-y for bigInts x and y. Negative answers will be 2s complement.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	135 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	136 // The following functions do NOT have a non-underscored version.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	137 // They each write a bigInt result to one or more parameters. The caller is responsible for
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	138 // ensuring the arrays passed in are large enough to hold the results.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	139 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	140 // void addShift_(x,y,ys) //do x=x+(y<<(ys*bpe))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	141 // void carry_(x) //do carries and borrows so each element of the bigInt x fits in bpe bits.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	142 // void divide_(x,y,q,r) //divide x by y giving quotient q and remainder r
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	143 // int divInt_(x,n) //do x=floor(x/n) for bigInt x and integer n, and return the remainder. (This never overflows its array).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	144 // int eGCD_(x,y,d,a,b) //sets a,b,d to positive bigInts such that d = GCD_(x,y) = ax-by
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	145 // void halve_(x) //do x=floor(\|x\|/2)*sgn(x) for bigInt x in 2's complement. (This never overflows its array).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	146 // void leftShift_(x,n) //left shift bigInt x by n bits. n<bpe.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	147 // void linComb_(x,y,a,b) //do x=ax+by for bigInts x and y and integers a and b
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	148 // void linCombShift_(x,y,b,ys) //do x=x+b(y<<(ysbpe)) for bigInts x and y, and integers b and ys
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	149 // void mont_(x,y,n,np) //Montgomery multiplication (see comments where the function is defined)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	150 // void multInt_(x,n) //do x=x*n where x is a bigInt and n is an integer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	151 // void rightShift_(x,n) //right shift bigInt x by n bits. (This never overflows its array).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	152 // void squareMod_(x,n) //do x=x*x mod n for bigInts x,n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	153 // void subShift_(x,y,ys) //do x=x-(y<<(ys*bpe)). Negative answers will be 2s complement.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	154 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	155 // The following functions are based on algorithms from the _Handbook of Applied Cryptography_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	156 // powMod_() = algorithm 14.94, Montgomery exponentiation
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	157 // eGCD_,inverseMod_() = algorithm 14.61, Binary extended GCD_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	158 // GCD_() = algorothm 14.57, Lehmer's algorithm
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	159 // mont_() = algorithm 14.36, Montgomery multiplication
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	160 // divide_() = algorithm 14.20 Multiple-precision division
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	161 // squareMod_() = algorithm 14.16 Multiple-precision squaring
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	162 // randTruePrime_() = algorithm 4.62, Maurer's algorithm
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	163 // millerRabin() = algorithm 4.24, Miller-Rabin algorithm
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	164 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	165 // Profiling shows:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	166 // randTruePrime_() spends:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	167 // 10% of its time in calls to powMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	168 // 85% of its time in calls to millerRabin()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	169 // millerRabin() spends:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	170 // 99% of its time in calls to powMod_() (always with a base of 2)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	171 // powMod_() spends:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	172 // 94% of its time in calls to mont_() (almost always with x==y)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	173 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	174 // This suggests there are several ways to speed up this library slightly:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	175 // - convert powMod_ to use a Montgomery form of k-ary window (or maybe a Montgomery form of sliding window)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	176 // -- this should especially focus on being fast when raising 2 to a power mod n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	177 // - convert randTruePrime_() to use a minimum r of 1/3 instead of 1/2 with the appropriate change to the test
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	178 // - tune the parameters in randTruePrime_(), including c, m, and recLimit
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	179 // - speed up the single loop in mont_() that takes 95% of the runtime, perhaps by reducing checking
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	180 // within the loop when all the parameters are the same length.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	181 //
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	182 // There are several ideas that look like they wouldn't help much at all:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	183 // - replacing trial division in randTruePrime_() with a sieve (that speeds up something taking almost no time anyway)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	184 // - increase bpe from 15 to 30 (that would help if we had a 3232->64 multiplier, but not with JavaScript's 3232->32)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	185 // - speeding up mont_(x,y,n,np) when x==y by doing a non-modular, non-Montgomery square
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	186 // followed by a Montgomery reduction. The intermediate answer will be twice as long as x, so that
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	187 // method would be slower. This is unfortunate because the code currently spends almost all of its time
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	188 // doing mont_(x,x,...), both for randTruePrime_() and powMod_(). A faster method for Montgomery squaring
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	189 // would have a large impact on the speed of randTruePrime_() and powMod_(). HAC has a couple of poorly-worded
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	190 // sentences that seem to imply it's faster to do a non-modular square followed by a single
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	191 // Montgomery reduction, but that's obviously wrong.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	192 ////////////////////////////////////////////////////////////////////////////////////////
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	193
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	194 //globals
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	195
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	196 // The number of significant bits in the fraction of a JavaScript
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	197 // floating-point number is 52, independent of platform.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	198 // See: https://github.com/arlolra/otr/issues/41
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	199
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	200 var bpe = 26; // bits stored per array element
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	201 var radix = 1 << bpe; // equals 2^bpe
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	202 var mask = radix - 1; // AND this with an array element to chop it down to bpe bits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	203
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	204 //the digits for converting to different bases
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	205 var digitsStr='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz_=!@#$%^&*()[]{}\|;:,.<>/?`~ \\\'\"+-';
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	206
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	207 var one=int2bigInt(1,1,1); //constant used in powMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	208
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	209 //the following global variables are scratchpad memory to
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	210 //reduce dynamic memory allocation in the inner loop
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	211 var t=new Array(0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	212 var ss=t; //used in mult_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	213 var s0=t; //used in multMod_(), squareMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	214 var s1=t; //used in powMod_(), multMod_(), squareMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	215 var s2=t; //used in powMod_(), multMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	216 var s3=t; //used in powMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	217 var s4=t, s5=t; //used in mod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	218 var s6=t; //used in bigInt2str()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	219 var s7=t; //used in powMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	220 var T=t; //used in GCD_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	221 var sa=t; //used in mont_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	222 var mr_x1=t, mr_r=t, mr_a=t; //used in millerRabin()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	223 var eg_v=t, eg_u=t, eg_A=t, eg_B=t, eg_C=t, eg_D=t; //used in eGCD_(), inverseMod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	224 var md_q1=t, md_q2=t, md_q3=t, md_r=t, md_r1=t, md_r2=t, md_tt=t; //used in mod_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	225
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	226 var primes=t, pows=t, s_i=t, s_i2=t, s_R=t, s_rm=t, s_q=t, s_n1=t;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	227 var s_a=t, s_r2=t, s_n=t, s_b=t, s_d=t, s_x1=t, s_x2=t, s_aa=t; //used in randTruePrime_()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	228
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	229 var rpprb=t; //used in randProbPrimeRounds() (which also uses "primes")
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	230
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	231 ////////////////////////////////////////////////////////////////////////////////////////
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	232
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	233
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	234 //return array of all primes less than integer n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	235 function findPrimes(n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	236 var i,s,p,ans;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	237 s=new Array(n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	238 for (i=0;i<n;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	239 s[i]=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	240 s[0]=2;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	241 p=0; //first p elements of s are primes, the rest are a sieve
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	242 for(;s[p]<n;) { //s[p] is the pth prime
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	243 for(i=s[p]*s[p]; i<n; i+=s[p]) //mark multiples of s[p]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	244 s[i]=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	245 p++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	246 s[p]=s[p-1]+1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	247 for(; s[p]<n && s[s[p]]; s[p]++); //find next prime (where s[p]==0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	248 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	249 ans=new Array(p);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	250 for(i=0;i<p;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	251 ans[i]=s[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	252 return ans;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	253 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	254
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	255
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	256 //does a single round of Miller-Rabin base b consider x to be a possible prime?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	257 //x is a bigInt, and b is an integer, with b<x
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	258 function millerRabinInt(x,b) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	259 if (mr_x1.length!=x.length) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	260 mr_x1=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	261 mr_r=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	262 mr_a=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	263 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	264
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	265 copyInt_(mr_a,b);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	266 return millerRabin(x,mr_a);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	267 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	268
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	269 //does a single round of Miller-Rabin base b consider x to be a possible prime?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	270 //x and b are bigInts with b<x
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	271 function millerRabin(x,b) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	272 var i,j,k,s;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	273
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	274 if (mr_x1.length!=x.length) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	275 mr_x1=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	276 mr_r=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	277 mr_a=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	278 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	279
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	280 copy_(mr_a,b);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	281 copy_(mr_r,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	282 copy_(mr_x1,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	283
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	284 addInt_(mr_r,-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	285 addInt_(mr_x1,-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	286
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	287 //s=the highest power of two that divides mr_r
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	288
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	289 /*
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	290 k=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	291 for (i=0;i<mr_r.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	292 for (j=1;j<mask;j<<=1)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	293 if (x[i] & j) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	294 s=(k<mr_r.length+bpe ? k : 0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	295 i=mr_r.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	296 j=mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	297 } else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	298 k++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	299 */
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	300
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	301 /* http://www.javascripter.net/math/primes/millerrabinbug-bigint54.htm */
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	302 if (isZero(mr_r)) return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	303 for (k=0; mr_r[k]==0; k++);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	304 for (i=1,j=2; mr_r[k]%j==0; j*=2,i++ );
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	305 s = k*bpe + i - 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	306 /* end */
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	307
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	308 if (s)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	309 rightShift_(mr_r,s);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	310
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	311 powMod_(mr_a,mr_r,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	312
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	313 if (!equalsInt(mr_a,1) && !equals(mr_a,mr_x1)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	314 j=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	315 while (j<=s-1 && !equals(mr_a,mr_x1)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	316 squareMod_(mr_a,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	317 if (equalsInt(mr_a,1)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	318 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	319 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	320 j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	321 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	322 if (!equals(mr_a,mr_x1)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	323 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	324 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	325 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	326 return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	327 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	328
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	329 //returns how many bits long the bigInt is, not counting leading zeros.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	330 function bitSize(x) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	331 var j,z,w;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	332 for (j=x.length-1; (x[j]==0) && (j>0); j--);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	333 for (z=0,w=x[j]; w; (w>>=1),z++);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	334 z+=bpe*j;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	335 return z;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	336 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	337
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	338 //return a copy of x with at least n elements, adding leading zeros if needed
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	339 function expand(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	340 var ans=int2bigInt(0,(x.length>n ? x.length : n)*bpe,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	341 copy_(ans,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	342 return ans;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	343 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	344
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	345 //return a k-bit true random prime using Maurer's algorithm.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	346 function randTruePrime(k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	347 var ans=int2bigInt(0,k,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	348 randTruePrime_(ans,k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	349 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	350 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	351
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	352 //return a k-bit random probable prime with probability of error < 2^-80
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	353 function randProbPrime(k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	354 if (k>=600) return randProbPrimeRounds(k,2); //numbers from HAC table 4.3
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	355 if (k>=550) return randProbPrimeRounds(k,4);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	356 if (k>=500) return randProbPrimeRounds(k,5);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	357 if (k>=400) return randProbPrimeRounds(k,6);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	358 if (k>=350) return randProbPrimeRounds(k,7);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	359 if (k>=300) return randProbPrimeRounds(k,9);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	360 if (k>=250) return randProbPrimeRounds(k,12); //numbers from HAC table 4.4
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	361 if (k>=200) return randProbPrimeRounds(k,15);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	362 if (k>=150) return randProbPrimeRounds(k,18);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	363 if (k>=100) return randProbPrimeRounds(k,27);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	364 return randProbPrimeRounds(k,40); //number from HAC remark 4.26 (only an estimate)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	365 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	366
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	367 //return a k-bit probable random prime using n rounds of Miller Rabin (after trial division with small primes)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	368 function randProbPrimeRounds(k,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	369 var ans, i, divisible, B;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	370 B=30000; //B is largest prime to use in trial division
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	371 ans=int2bigInt(0,k,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	372
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	373 //optimization: try larger and smaller B to find the best limit.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	374
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	375 if (primes.length==0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	376 primes=findPrimes(30000); //check for divisibility by primes <=30000
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	377
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	378 if (rpprb.length!=ans.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	379 rpprb=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	380
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	381 for (;;) { //keep trying random values for ans until one appears to be prime
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	382 //optimization: pick a random number times L=235...p, plus a
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	383 // random element of the list of all numbers in [0,L) not divisible by any prime up to p.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	384 // This can reduce the amount of random number generation.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	385
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	386 randBigInt_(ans,k,0); //ans = a random odd number to check
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	387 ans[0] \|= 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	388 divisible=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	389
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	390 //check ans for divisibility by small primes up to B
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	391 for (i=0; (i<primes.length) && (primes[i]<=B); i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	392 if (modInt(ans,primes[i])==0 && !equalsInt(ans,primes[i])) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	393 divisible=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	394 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	395 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	396
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	397 //optimization: change millerRabin so the base can be bigger than the number being checked, then eliminate the while here.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	398
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	399 //do n rounds of Miller Rabin, with random bases less than ans
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	400 for (i=0; i<n && !divisible; i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	401 randBigInt_(rpprb,k,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	402 while(!greater(ans,rpprb)) //pick a random rpprb that's < ans
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	403 randBigInt_(rpprb,k,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	404 if (!millerRabin(ans,rpprb))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	405 divisible=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	406 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	407
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	408 if(!divisible)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	409 return ans;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	410 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	411 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	412
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	413 //return a new bigInt equal to (x mod n) for bigInts x and n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	414 function mod(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	415 var ans=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	416 mod_(ans,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	417 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	418 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	419
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	420 //return (x+n) where x is a bigInt and n is an integer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	421 function addInt(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	422 var ans=expand(x,x.length+1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	423 addInt_(ans,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	424 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	425 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	426
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	427 //return x*y for bigInts x and y. This is faster when y<x.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	428 function mult(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	429 var ans=expand(x,x.length+y.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	430 mult_(ans,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	431 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	432 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	433
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	434 //return (xy mod n) where x,y,n are bigInts and is exponentiation. 0**0=1. Faster for odd n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	435 function powMod(x,y,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	436 var ans=expand(x,n.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	437 powMod_(ans,trim(y,2),trim(n,2),0); //this should work without the trim, but doesn't
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	438 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	439 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	440
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	441 //return (x-y) for bigInts x and y. Negative answers will be 2s complement
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	442 function sub(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	443 var ans=expand(x,(x.length>y.length ? x.length+1 : y.length+1));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	444 sub_(ans,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	445 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	446 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	447
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	448 //return (x+y) for bigInts x and y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	449 function add(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	450 var ans=expand(x,(x.length>y.length ? x.length+1 : y.length+1));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	451 add_(ans,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	452 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	453 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	454
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	455 //return (x**(-1) mod n) for bigInts x and n. If no inverse exists, it returns null
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	456 function inverseMod(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	457 var ans=expand(x,n.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	458 var s;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	459 s=inverseMod_(ans,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	460 return s ? trim(ans,1) : null;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	461 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	462
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	463 //return (x*y mod n) for bigInts x,y,n. For greater speed, let y<x.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	464 function multMod(x,y,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	465 var ans=expand(x,n.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	466 multMod_(ans,y,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	467 return trim(ans,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	468 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	469
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	470 //generate a k-bit true random prime using Maurer's algorithm,
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	471 //and put it into ans. The bigInt ans must be large enough to hold it.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	472 function randTruePrime_(ans,k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	473 var c,w,m,pm,dd,j,r,B,divisible,z,zz,recSize,recLimit;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	474
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	475 if (primes.length==0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	476 primes=findPrimes(30000); //check for divisibility by primes <=30000
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	477
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	478 if (pows.length==0) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	479 pows=new Array(512);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	480 for (j=0;j<512;j++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	481 pows[j]=Math.pow(2,j/511.0-1.0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	482 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	483 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	484
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	485 //c and m should be tuned for a particular machine and value of k, to maximize speed
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	486 c=0.1; //c=0.1 in HAC
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	487 m=20; //generate this k-bit number by first recursively generating a number that has between k/2 and k-m bits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	488 recLimit=20; //stop recursion when k <=recLimit. Must have recLimit >= 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	489
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	490 if (s_i2.length!=ans.length) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	491 s_i2=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	492 s_R =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	493 s_n1=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	494 s_r2=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	495 s_d =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	496 s_x1=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	497 s_x2=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	498 s_b =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	499 s_n =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	500 s_i =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	501 s_rm=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	502 s_q =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	503 s_a =dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	504 s_aa=dup(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	505 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	506
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	507 if (k <= recLimit) { //generate small random primes by trial division up to its square root
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	508 pm=(1<<((k+2)>>1))-1; //pm is binary number with all ones, just over sqrt(2^k)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	509 copyInt_(ans,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	510 for (dd=1;dd;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	511 dd=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	512 ans[0]= 1 \| (1<<(k-1)) \| randomBitInt(k); //random, k-bit, odd integer, with msb 1
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	513 for (j=1;(j<primes.length) && ((primes[j]&pm)==primes[j]);j++) { //trial division by all primes 3...sqrt(2^k)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	514 if (0==(ans[0]%primes[j])) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	515 dd=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	516 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	517 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	518 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	519 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	520 carry_(ans);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	521 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	522 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	523
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	524 B=ckk; //try small primes up to B (or all the primes[] array if the largest is less than B).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	525 if (k>2*m) //generate this k-bit number by first recursively generating a number that has between k/2 and k-m bits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	526 for (r=1; k-k*r<=m; )
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	527 r=pows[randomBitInt(9)]; //r=Math.pow(2,Math.random()-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	528 else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	529 r=0.5;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	530
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	531 //simulation suggests the more complex algorithm using r=.333 is only slightly faster.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	532
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	533 recSize=Math.floor(r*k)+1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	534
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	535 randTruePrime_(s_q,recSize);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	536 copyInt_(s_i2,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	537 s_i2[Math.floor((k-2)/bpe)] \|= (1<<((k-2)%bpe)); //s_i2=2^(k-2)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	538 divide_(s_i2,s_q,s_i,s_rm); //s_i=floor((2^(k-1))/(2q))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	539
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	540 z=bitSize(s_i);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	541
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	542 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	543 for (;;) { //generate z-bit numbers until one falls in the range [0,s_i-1]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	544 randBigInt_(s_R,z,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	545 if (greater(s_i,s_R))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	546 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	547 } //now s_R is in the range [0,s_i-1]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	548 addInt_(s_R,1); //now s_R is in the range [1,s_i]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	549 add_(s_R,s_i); //now s_R is in the range [s_i+1,2*s_i]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	550
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	551 copy_(s_n,s_q);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	552 mult_(s_n,s_R);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	553 multInt_(s_n,2);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	554 addInt_(s_n,1); //s_n=2s_Rs_q+1
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	555
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	556 copy_(s_r2,s_R);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	557 multInt_(s_r2,2); //s_r2=2*s_R
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	558
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	559 //check s_n for divisibility by small primes up to B
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	560 for (divisible=0,j=0; (j<primes.length) && (primes[j]<B); j++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	561 if (modInt(s_n,primes[j])==0 && !equalsInt(s_n,primes[j])) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	562 divisible=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	563 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	564 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	565
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	566 if (!divisible) //if it passes small primes check, then try a single Miller-Rabin base 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	567 if (!millerRabinInt(s_n,2)) //this line represents 75% of the total runtime for randTruePrime_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	568 divisible=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	569
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	570 if (!divisible) { //if it passes that test, continue checking s_n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	571 addInt_(s_n,-3);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	572 for (j=s_n.length-1;(s_n[j]==0) && (j>0); j--); //strip leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	573 for (zz=0,w=s_n[j]; w; (w>>=1),zz++);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	574 zz+=bpe*j; //zz=number of bits in s_n, ignoring leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	575 for (;;) { //generate z-bit numbers until one falls in the range [0,s_n-1]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	576 randBigInt_(s_a,zz,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	577 if (greater(s_n,s_a))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	578 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	579 } //now s_a is in the range [0,s_n-1]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	580 addInt_(s_n,3); //now s_a is in the range [0,s_n-4]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	581 addInt_(s_a,2); //now s_a is in the range [2,s_n-2]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	582 copy_(s_b,s_a);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	583 copy_(s_n1,s_n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	584 addInt_(s_n1,-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	585 powMod_(s_b,s_n1,s_n); //s_b=s_a^(s_n-1) modulo s_n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	586 addInt_(s_b,-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	587 if (isZero(s_b)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	588 copy_(s_b,s_a);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	589 powMod_(s_b,s_r2,s_n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	590 addInt_(s_b,-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	591 copy_(s_aa,s_n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	592 copy_(s_d,s_b);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	593 GCD_(s_d,s_n); //if s_b and s_n are relatively prime, then s_n is a prime
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	594 if (equalsInt(s_d,1)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	595 copy_(ans,s_aa);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	596 return; //if we've made it this far, then s_n is absolutely guaranteed to be prime
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	597 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	598 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	599 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	600 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	601 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	602
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	603 //Return an n-bit random BigInt (n>=1). If s=1, then the most significant of those n bits is set to 1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	604 function randBigInt(n,s) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	605 var a,b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	606 a=Math.floor((n-1)/bpe)+2; //# array elements to hold the BigInt with a leading 0 element
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	607 b=int2bigInt(0,0,a);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	608 randBigInt_(b,n,s);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	609 return b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	610 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	611
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	612 //Set b to an n-bit random BigInt. If s=1, then the most significant of those n bits is set to 1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	613 //Array b must be big enough to hold the result. Must have n>=1
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	614 function randBigInt_(b,n,s) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	615 var i,a;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	616 for (i=0;i<b.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	617 b[i]=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	618 a=Math.floor((n-1)/bpe)+1; //# array elements to hold the BigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	619 for (i=0;i<a;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	620 b[i]=randomBitInt(bpe);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	621 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	622 b[a-1] &= (2<<((n-1)%bpe))-1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	623 if (s==1)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	624 b[a-1] \|= (1<<((n-1)%bpe));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	625 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	626
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	627 //Return the greatest common divisor of bigInts x and y (each with same number of elements).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	628 function GCD(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	629 var xc,yc;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	630 xc=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	631 yc=dup(y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	632 GCD_(xc,yc);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	633 return xc;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	634 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	635
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	636 //set x to the greatest common divisor of bigInts x and y (each with same number of elements).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	637 //y is destroyed.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	638 function GCD_(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	639 var i,xp,yp,A,B,C,D,q,sing,qp;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	640 if (T.length!=x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	641 T=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	642
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	643 sing=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	644 while (sing) { //while y has nonzero elements other than y[0]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	645 sing=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	646 for (i=1;i<y.length;i++) //check if y has nonzero elements other than 0
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	647 if (y[i]) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	648 sing=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	649 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	650 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	651 if (!sing) break; //quit when y all zero elements except possibly y[0]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	652
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	653 for (i=x.length;!x[i] && i>=0;i--); //find most significant element of x
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	654 xp=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	655 yp=y[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	656 A=1; B=0; C=0; D=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	657 while ((yp+C) && (yp+D)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	658 q =Math.floor((xp+A)/(yp+C));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	659 qp=Math.floor((xp+B)/(yp+D));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	660 if (q!=qp)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	661 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	662 t= A-qC; A=C; C=t; // do (A,B,xp, C,D,yp) = (C,D,yp, A,B,xp) - q(0,0,0, C,D,yp)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	663 t= B-q*D; B=D; D=t;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	664 t=xp-q*yp; xp=yp; yp=t;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	665 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	666 if (B) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	667 copy_(T,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	668 linComb_(x,y,A,B); //x=Ax+By
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	669 linComb_(y,T,D,C); //y=Dy+CT
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	670 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	671 mod_(x,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	672 copy_(T,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	673 copy_(x,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	674 copy_(y,T);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	675 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	676 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	677 if (y[0]==0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	678 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	679 t=modInt(x,y[0]);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	680 copyInt_(x,y[0]);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	681 y[0]=t;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	682 while (y[0]) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	683 x[0]%=y[0];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	684 t=x[0]; x[0]=y[0]; y[0]=t;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	685 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	686 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	687
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	688 //do x=x**(-1) mod n, for bigInts x and n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	689 //If no inverse exists, it sets x to zero and returns 0, else it returns 1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	690 //The x array must be at least as large as the n array.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	691 function inverseMod_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	692 var k=1+2*Math.max(x.length,n.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	693
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	694 if(!(x[0]&1) && !(n[0]&1)) { //if both inputs are even, then inverse doesn't exist
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	695 copyInt_(x,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	696 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	697 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	698
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	699 if (eg_u.length!=k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	700 eg_u=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	701 eg_v=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	702 eg_A=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	703 eg_B=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	704 eg_C=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	705 eg_D=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	706 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	707
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	708 copy_(eg_u,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	709 copy_(eg_v,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	710 copyInt_(eg_A,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	711 copyInt_(eg_B,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	712 copyInt_(eg_C,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	713 copyInt_(eg_D,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	714 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	715 while(!(eg_u[0]&1)) { //while eg_u is even
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	716 halve_(eg_u);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	717 if (!(eg_A[0]&1) && !(eg_B[0]&1)) { //if eg_A==eg_B==0 mod 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	718 halve_(eg_A);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	719 halve_(eg_B);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	720 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	721 add_(eg_A,n); halve_(eg_A);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	722 sub_(eg_B,x); halve_(eg_B);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	723 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	724 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	725
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	726 while (!(eg_v[0]&1)) { //while eg_v is even
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	727 halve_(eg_v);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	728 if (!(eg_C[0]&1) && !(eg_D[0]&1)) { //if eg_C==eg_D==0 mod 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	729 halve_(eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	730 halve_(eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	731 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	732 add_(eg_C,n); halve_(eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	733 sub_(eg_D,x); halve_(eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	734 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	735 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	736
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	737 if (!greater(eg_v,eg_u)) { //eg_v <= eg_u
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	738 sub_(eg_u,eg_v);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	739 sub_(eg_A,eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	740 sub_(eg_B,eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	741 } else { //eg_v > eg_u
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	742 sub_(eg_v,eg_u);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	743 sub_(eg_C,eg_A);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	744 sub_(eg_D,eg_B);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	745 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	746
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	747 if (equalsInt(eg_u,0)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	748 while (negative(eg_C)) //make sure answer is nonnegative
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	749 add_(eg_C,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	750 copy_(x,eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	751
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	752 if (!equalsInt(eg_v,1)) { //if GCD_(x,n)!=1, then there is no inverse
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	753 copyInt_(x,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	754 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	755 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	756 return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	757 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	758 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	759 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	760
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	761 //return x**(-1) mod n, for integers x and n. Return 0 if there is no inverse
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	762 function inverseModInt(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	763 var a=1,b=0,t;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	764 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	765 if (x==1) return a;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	766 if (x==0) return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	767 b-=a*Math.floor(n/x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	768 n%=x;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	769
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	770 if (n==1) return b; //to avoid negatives, change this b to n-b, and each -= to +=
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	771 if (n==0) return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	772 a-=b*Math.floor(x/n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	773 x%=n;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	774 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	775 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	776
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	777 //this deprecated function is for backward compatibility only.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	778 function inverseModInt_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	779 return inverseModInt(x,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	780 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	781
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	782
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	783 //Given positive bigInts x and y, change the bigints v, a, and b to positive bigInts such that:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	784 // v = GCD_(x,y) = ax-by
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	785 //The bigInts v, a, b, must have exactly as many elements as the larger of x and y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	786 function eGCD_(x,y,v,a,b) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	787 var g=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	788 var k=Math.max(x.length,y.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	789 if (eg_u.length!=k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	790 eg_u=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	791 eg_A=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	792 eg_B=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	793 eg_C=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	794 eg_D=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	795 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	796 while(!(x[0]&1) && !(y[0]&1)) { //while x and y both even
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	797 halve_(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	798 halve_(y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	799 g++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	800 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	801 copy_(eg_u,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	802 copy_(v,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	803 copyInt_(eg_A,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	804 copyInt_(eg_B,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	805 copyInt_(eg_C,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	806 copyInt_(eg_D,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	807 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	808 while(!(eg_u[0]&1)) { //while u is even
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	809 halve_(eg_u);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	810 if (!(eg_A[0]&1) && !(eg_B[0]&1)) { //if A==B==0 mod 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	811 halve_(eg_A);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	812 halve_(eg_B);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	813 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	814 add_(eg_A,y); halve_(eg_A);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	815 sub_(eg_B,x); halve_(eg_B);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	816 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	817 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	818
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	819 while (!(v[0]&1)) { //while v is even
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	820 halve_(v);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	821 if (!(eg_C[0]&1) && !(eg_D[0]&1)) { //if C==D==0 mod 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	822 halve_(eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	823 halve_(eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	824 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	825 add_(eg_C,y); halve_(eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	826 sub_(eg_D,x); halve_(eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	827 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	828 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	829
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	830 if (!greater(v,eg_u)) { //v<=u
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	831 sub_(eg_u,v);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	832 sub_(eg_A,eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	833 sub_(eg_B,eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	834 } else { //v>u
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	835 sub_(v,eg_u);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	836 sub_(eg_C,eg_A);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	837 sub_(eg_D,eg_B);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	838 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	839 if (equalsInt(eg_u,0)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	840 while (negative(eg_C)) { //make sure a (C) is nonnegative
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	841 add_(eg_C,y);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	842 sub_(eg_D,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	843 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	844 multInt_(eg_D,-1); ///make sure b (D) is nonnegative
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	845 copy_(a,eg_C);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	846 copy_(b,eg_D);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	847 leftShift_(v,g);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	848 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	849 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	850 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	851 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	852
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	853
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	854 //is bigInt x negative?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	855 function negative(x) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	856 return ((x[x.length-1]>>(bpe-1))&1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	857 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	858
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	859
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	860 //is (x << (shift*bpe)) > y?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	861 //x and y are nonnegative bigInts
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	862 //shift is a nonnegative integer
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	863 function greaterShift(x,y,shift) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	864 var i, kx=x.length, ky=y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	865 var k=((kx+shift)<ky) ? (kx+shift) : ky;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	866 for (i=ky-1-shift; i<kx && i>=0; i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	867 if (x[i]>0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	868 return 1; //if there are nonzeros in x to the left of the first column of y, then x is bigger
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	869 for (i=kx-1+shift; i<ky; i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	870 if (y[i]>0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	871 return 0; //if there are nonzeros in y to the left of the first column of x, then x is not bigger
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	872 for (i=k-1; i>=shift; i--)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	873 if (x[i-shift]>y[i]) return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	874 else if (x[i-shift]<y[i]) return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	875 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	876 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	877
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	878 //is x > y? (x and y both nonnegative)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	879 function greater(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	880 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	881 var k=(x.length<y.length) ? x.length : y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	882
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	883 for (i=x.length;i<y.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	884 if (y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	885 return 0; //y has more digits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	886
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	887 for (i=y.length;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	888 if (x[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	889 return 1; //x has more digits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	890
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	891 for (i=k-1;i>=0;i--)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	892 if (x[i]>y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	893 return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	894 else if (x[i]<y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	895 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	896 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	897 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	898
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	899 //divide x by y giving quotient q and remainder r. (q=floor(x/y), r=x mod y). All 4 are bigints.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	900 //x must have at least one leading zero element.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	901 //y must be nonzero.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	902 //q and r must be arrays that are exactly the same length as x. (Or q can have more).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	903 //Must have x.length >= y.length >= 2.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	904 function divide_(x,y,q,r) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	905 var kx, ky;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	906 var i,j,y1,y2,c,a,b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	907 copy_(r,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	908 for (ky=y.length;y[ky-1]==0;ky--); //ky is number of elements in y, not including leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	909
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	910 //normalize: ensure the most significant element of y has its highest bit set
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	911 b=y[ky-1];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	912 for (a=0; b; a++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	913 b>>=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	914 a=bpe-a; //a is how many bits to shift so that the high order bit of y is leftmost in its array element
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	915 leftShift_(y,a); //multiply both by 1<<a now, then divide both by that at the end
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	916 leftShift_(r,a);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	917
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	918 //Rob Visser discovered a bug: the following line was originally just before the normalization.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	919 for (kx=r.length;r[kx-1]==0 && kx>ky;kx--); //kx is number of elements in normalized x, not including leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	920
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	921 copyInt_(q,0); // q=0
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	922 while (!greaterShift(y,r,kx-ky)) { // while (leftShift_(y,kx-ky) <= r) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	923 subShift_(r,y,kx-ky); // r=r-leftShift_(y,kx-ky)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	924 q[kx-ky]++; // q[kx-ky]++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	925 } // }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	926
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	927 for (i=kx-1; i>=ky; i--) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	928 if (r[i]==y[ky-1])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	929 q[i-ky]=mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	930 else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	931 q[i-ky]=Math.floor((r[i]*radix+r[i-1])/y[ky-1]);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	932
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	933 //The following for(;;) loop is equivalent to the commented while loop,
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	934 //except that the uncommented version avoids overflow.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	935 //The commented loop comes from HAC, which assumes r[-1]==y[-1]==0
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	936 // while (q[i-ky](y[ky-1]radix+y[ky-2]) > r[i]radixradix+r[i-1]*radix+r[i-2])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	937 // q[i-ky]--;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	938 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	939 y2=(ky>1 ? y[ky-2] : 0)*q[i-ky];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	940 c=y2;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	941 y2=y2 & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	942 c = (c - y2) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	943 y1=c+q[i-ky]*y[ky-1];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	944 c=y1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	945 y1=y1 & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	946 c = (c - y1) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	947
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	948 if (c==r[i] ? y1==r[i-1] ? y2>(i>1 ? r[i-2] : 0) : y1>r[i-1] : c>r[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	949 q[i-ky]--;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	950 else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	951 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	952 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	953
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	954 linCombShift_(r,y,-q[i-ky],i-ky); //r=r-q[i-ky]*leftShift_(y,i-ky)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	955 if (negative(r)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	956 addShift_(r,y,i-ky); //r=r+leftShift_(y,i-ky)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	957 q[i-ky]--;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	958 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	959 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	960
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	961 rightShift_(y,a); //undo the normalization step
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	962 rightShift_(r,a); //undo the normalization step
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	963 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	964
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	965 //do carries and borrows so each element of the bigInt x fits in bpe bits.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	966 function carry_(x) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	967 var i,k,c,b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	968 k=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	969 c=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	970 for (i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	971 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	972 b=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	973 if (c<0) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	974 b = c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	975 b = -((c - b) / radix);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	976 c+=b*radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	977 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	978 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	979 c = ((c - x[i]) / radix) - b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	980 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	981 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	982
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	983 //return x mod n for bigInt x and integer n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	984 function modInt(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	985 var i,c=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	986 for (i=x.length-1; i>=0; i--)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	987 c=(c*radix+x[i])%n;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	988 return c;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	989 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	990
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	991 //convert the integer t into a bigInt with at least the given number of bits.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	992 //the returned array stores the bigInt in bpe-bit chunks, little endian (buff[0] is least significant word)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	993 //Pad the array with leading zeros so that it has at least minSize elements.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	994 //There will always be at least one leading 0 element.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	995 function int2bigInt(t,bits,minSize) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	996 var i,k, buff;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	997 k=Math.ceil(bits/bpe)+1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	998 k=minSize>k ? minSize : k;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	999 buff=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1000 copyInt_(buff,t);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1001 return buff;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1002 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1003
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1004 //return the bigInt given a string representation in a given base.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1005 //Pad the array with leading zeros so that it has at least minSize elements.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1006 //If base=-1, then it reads in a space-separated list of array elements in decimal.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1007 //The array will always have at least one leading zero, unless base=-1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1008 function str2bigInt(s,base,minSize) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1009 var d, i, j, x, y, kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1010 var k=s.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1011 if (base==-1) { //comma-separated list of array elements in decimal
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1012 x=new Array(0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1013 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1014 y=new Array(x.length+1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1015 for (i=0;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1016 y[i+1]=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1017 y[0]=parseInt(s,10);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1018 x=y;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1019 d=s.indexOf(',',0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1020 if (d<1)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1021 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1022 s=s.substring(d+1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1023 if (s.length==0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1024 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1025 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1026 if (x.length<minSize) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1027 y=new Array(minSize);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1028 copy_(y,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1029 return y;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1030 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1031 return x;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1032 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1033
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1034 // log2(base)*k
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1035 var bb = base, p = 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1036 var b = base == 1 ? k : 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1037 while (bb > 1) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1038 if (bb & 1) p = 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1039 b += k;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1040 bb >>= 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1041 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1042 b += p*k;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1043
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1044 x=int2bigInt(0,b,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1045 for (i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1046 d=digitsStr.indexOf(s.substring(i,i+1),0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1047 if (base<=36 && d>=36) //convert lowercase to uppercase if base<=36
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1048 d-=26;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1049 if (d>=base \|\| d<0) { //stop at first illegal character
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1050 break;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1051 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1052 multInt_(x,base);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1053 addInt_(x,d);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1054 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1055
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1056 for (k=x.length;k>0 && !x[k-1];k--); //strip off leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1057 k=minSize>k+1 ? minSize : k+1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1058 y=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1059 kk=k<x.length ? k : x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1060 for (i=0;i<kk;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1061 y[i]=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1062 for (;i<k;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1063 y[i]=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1064 return y;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1065 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1066
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1067 //is bigint x equal to integer y?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1068 //y must have less than bpe bits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1069 function equalsInt(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1070 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1071 if (x[0]!=y)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1072 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1073 for (i=1;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1074 if (x[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1075 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1076 return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1077 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1078
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1079 //are bigints x and y equal?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1080 //this works even if x and y are different lengths and have arbitrarily many leading zeros
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1081 function equals(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1082 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1083 var k=x.length<y.length ? x.length : y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1084 for (i=0;i<k;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1085 if (x[i]!=y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1086 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1087 if (x.length>y.length) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1088 for (;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1089 if (x[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1090 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1091 } else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1092 for (;i<y.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1093 if (y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1094 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1095 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1096 return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1097 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1098
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1099 //is the bigInt x equal to zero?
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1100 function isZero(x) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1101 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1102 for (i=0;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1103 if (x[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1104 return 0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1105 return 1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1106 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1107
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1108 //convert a bigInt into a string in a given base, from base 2 up to base 95.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1109 //Base -1 prints the contents of the array representing the number.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1110 function bigInt2str(x,base) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1111 var i,t,s="";
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1112
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1113 if (s6.length!=x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1114 s6=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1115 else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1116 copy_(s6,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1117
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1118 if (base==-1) { //return the list of array contents
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1119 for (i=x.length-1;i>0;i--)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1120 s+=x[i]+',';
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1121 s+=x[0];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1122 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1123 else { //return it in the given base
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1124 while (!isZero(s6)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1125 t=divInt_(s6,base); //t=s6 % base; s6=floor(s6/base);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1126 s=digitsStr.substring(t,t+1)+s;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1127 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1128 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1129 if (s.length==0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1130 s="0";
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1131 return s;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1132 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1133
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1134 //returns a duplicate of bigInt x
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1135 function dup(x) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1136 var i, buff;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1137 buff=new Array(x.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1138 copy_(buff,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1139 return buff;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1140 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1141
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1142 //do x=y on bigInts x and y. x must be an array at least as big as y (not counting the leading zeros in y).
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1143 function copy_(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1144 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1145 var k=x.length<y.length ? x.length : y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1146 for (i=0;i<k;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1147 x[i]=y[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1148 for (i=k;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1149 x[i]=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1150 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1151
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1152 //do x=y on bigInt x and integer y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1153 function copyInt_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1154 var i,c;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1155 for (c=n,i=0;i<x.length;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1156 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1157 c>>=bpe;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1158 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1159 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1160
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1161 //do x=x+n where x is a bigInt and n is an integer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1162 //x must be large enough to hold the result.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1163 function addInt_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1164 var i,k,c,b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1165 x[0]+=n;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1166 k=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1167 c=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1168 for (i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1169 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1170 b=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1171 if (c<0) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1172 b = c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1173 b = -((c - b) / radix);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1174 c+=b*radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1175 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1176 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1177 c = ((c - x[i]) / radix) - b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1178 if (!c) return; //stop carrying as soon as the carry is zero
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1179 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1180 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1181
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1182 //right shift bigInt x by n bits.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1183 function rightShift_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1184 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1185 var k=Math.floor(n/bpe);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1186 if (k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1187 for (i=0;i<x.length-k;i++) //right shift x by k elements
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1188 x[i]=x[i+k];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1189 for (;i<x.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1190 x[i]=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1191 n%=bpe;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1192 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1193 for (i=0;i<x.length-1;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1194 x[i]=mask & ((x[i+1]<<(bpe-n)) \| (x[i]>>n));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1195 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1196 x[i]>>=n;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1197 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1198
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1199 //do x=floor(\|x\|/2)*sgn(x) for bigInt x in 2's complement
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1200 function halve_(x) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1201 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1202 for (i=0;i<x.length-1;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1203 x[i]=mask & ((x[i+1]<<(bpe-1)) \| (x[i]>>1));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1204 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1205 x[i]=(x[i]>>1) \| (x[i] & (radix>>1)); //most significant bit stays the same
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1206 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1207
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1208 //left shift bigInt x by n bits.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1209 function leftShift_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1210 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1211 var k=Math.floor(n/bpe);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1212 if (k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1213 for (i=x.length; i>=k; i--) //left shift x by k elements
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1214 x[i]=x[i-k];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1215 for (;i>=0;i--)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1216 x[i]=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1217 n%=bpe;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1218 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1219 if (!n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1220 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1221 for (i=x.length-1;i>0;i--) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1222 x[i]=mask & ((x[i]<<n) \| (x[i-1]>>(bpe-n)));
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1223 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1224 x[i]=mask & (x[i]<<n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1225 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1226
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1227 //do x=x*n where x is a bigInt and n is an integer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1228 //x must be large enough to hold the result.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1229 function multInt_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1230 var i,k,c,b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1231 if (!n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1232 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1233 k=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1234 c=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1235 for (i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1236 c+=x[i]*n;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1237 b=0;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1238 if (c<0) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1239 b = c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1240 b = -((c - b) / radix);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1241 c+=b*radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1242 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1243 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1244 c = ((c - x[i]) / radix) - b;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1245 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1246 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1247
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1248 //do x=floor(x/n) for bigInt x and integer n, and return the remainder
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1249 function divInt_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1250 var i,r=0,s;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1251 for (i=x.length-1;i>=0;i--) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1252 s=r*radix+x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1253 x[i]=Math.floor(s/n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1254 r=s%n;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1255 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1256 return r;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1257 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1258
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1259 //do the linear combination x=ax+by for bigInts x and y, and integers a and b.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1260 //x must be large enough to hold the answer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1261 function linComb_(x,y,a,b) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1262 var i,c,k,kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1263 k=x.length<y.length ? x.length : y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1264 kk=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1265 for (c=0,i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1266 c+=ax[i]+by[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1267 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1268 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1269 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1270 for (i=k;i<kk;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1271 c+=a*x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1272 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1273 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1274 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1275 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1276
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1277 //do the linear combination x=ax+b(y<<(ys*bpe)) for bigInts x and y, and integers a, b and ys.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1278 //x must be large enough to hold the answer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1279 function linCombShift_(x,y,b,ys) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1280 var i,c,k,kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1281 k=x.length<ys+y.length ? x.length : ys+y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1282 kk=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1283 for (c=0,i=ys;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1284 c+=x[i]+b*y[i-ys];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1285 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1286 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1287 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1288 for (i=k;c && i<kk;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1289 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1290 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1291 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1292 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1293 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1294
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1295 //do x=x+(y<<(ys*bpe)) for bigInts x and y, and integers a,b and ys.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1296 //x must be large enough to hold the answer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1297 function addShift_(x,y,ys) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1298 var i,c,k,kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1299 k=x.length<ys+y.length ? x.length : ys+y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1300 kk=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1301 for (c=0,i=ys;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1302 c+=x[i]+y[i-ys];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1303 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1304 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1305 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1306 for (i=k;c && i<kk;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1307 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1308 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1309 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1310 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1311 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1312
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1313 //do x=x-(y<<(ys*bpe)) for bigInts x and y, and integers a,b and ys.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1314 //x must be large enough to hold the answer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1315 function subShift_(x,y,ys) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1316 var i,c,k,kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1317 k=x.length<ys+y.length ? x.length : ys+y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1318 kk=x.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1319 for (c=0,i=ys;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1320 c+=x[i]-y[i-ys];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1321 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1322 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1323 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1324 for (i=k;c && i<kk;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1325 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1326 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1327 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1328 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1329 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1330
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1331 //do x=x-y for bigInts x and y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1332 //x must be large enough to hold the answer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1333 //negative answers will be 2s complement
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1334 function sub_(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1335 var i,c,k,kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1336 k=x.length<y.length ? x.length : y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1337 for (c=0,i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1338 c+=x[i]-y[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1339 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1340 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1341 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1342 for (i=k;c && i<x.length;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1343 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1344 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1345 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1346 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1347 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1348
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1349 //do x=x+y for bigInts x and y.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1350 //x must be large enough to hold the answer.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1351 function add_(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1352 var i,c,k,kk;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1353 k=x.length<y.length ? x.length : y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1354 for (c=0,i=0;i<k;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1355 c+=x[i]+y[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1356 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1357 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1358 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1359 for (i=k;c && i<x.length;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1360 c+=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1361 x[i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1362 c = (c - x[i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1363 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1364 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1365
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1366 //do x=x*y for bigInts x and y. This is faster when y<x.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1367 function mult_(x,y) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1368 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1369 if (ss.length!=2*x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1370 ss=new Array(2*x.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1371 copyInt_(ss,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1372 for (i=0;i<y.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1373 if (y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1374 linCombShift_(ss,x,y[i],i); //ss=1ss+y[i](x<<(i*bpe))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1375 copy_(x,ss);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1376 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1377
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1378 //do x=x mod n for bigInts x and n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1379 function mod_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1380 if (s4.length!=x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1381 s4=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1382 else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1383 copy_(s4,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1384 if (s5.length!=x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1385 s5=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1386 divide_(s4,n,s5,x); //x = remainder of s4 / n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1387 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1388
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1389 //do x=x*y mod n for bigInts x,y,n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1390 //for greater speed, let y<x.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1391 function multMod_(x,y,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1392 var i;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1393 if (s0.length!=2*x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1394 s0=new Array(2*x.length);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1395 copyInt_(s0,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1396 for (i=0;i<y.length;i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1397 if (y[i])
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1398 linCombShift_(s0,x,y[i],i); //s0=1s0+y[i](x<<(i*bpe))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1399 mod_(s0,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1400 copy_(x,s0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1401 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1402
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1403 //do x=x*x mod n for bigInts x,n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1404 function squareMod_(x,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1405 var i,j,d,c,kx,kn,k;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1406 for (kx=x.length; kx>0 && !x[kx-1]; kx--); //ignore leading zeros in x
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1407 k=kx>n.length ? 2kx : 2n.length; //k=# elements in the product, which is twice the elements in the larger of x and n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1408 if (s0.length!=k)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1409 s0=new Array(k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1410 copyInt_(s0,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1411 for (i=0;i<kx;i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1412 c=s0[2i]+x[i]x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1413 s0[2*i]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1414 c = (c - s0[2*i]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1415 for (j=i+1;j<kx;j++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1416 c=s0[i+j]+2x[i]x[j]+c;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1417 s0[i+j]=(c & mask);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1418 c = (c - s0[i+j]) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1419 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1420 s0[i+kx]=c;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1421 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1422 mod_(s0,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1423 copy_(x,s0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1424 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1425
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1426 //return x with exactly k leading zero elements
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1427 function trim(x,k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1428 var i,y;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1429 for (i=x.length; i>0 && !x[i-1]; i--);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1430 y=new Array(i+k);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1431 copy_(y,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1432 return y;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1433 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1434
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1435 //do x=xy mod n, where x,y,n are bigInts and is exponentiation. 0**0=1.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1436 //this is faster when n is odd. x usually needs to have as many elements as n.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1437 function powMod_(x,y,n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1438 var k1,k2,kn,np;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1439 if(s7.length!=n.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1440 s7=dup(n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1441
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1442 //for even modulus, use a simple square-and-multiply algorithm,
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1443 //rather than using the more complex Montgomery algorithm.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1444 if ((n[0]&1)==0) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1445 copy_(s7,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1446 copyInt_(x,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1447 while(!equalsInt(y,0)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1448 if (y[0]&1)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1449 multMod_(x,s7,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1450 divInt_(y,2);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1451 squareMod_(s7,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1452 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1453 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1454 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1455
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1456 //calculate np from n for the Montgomery multiplications
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1457 copyInt_(s7,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1458 for (kn=n.length;kn>0 && !n[kn-1];kn--);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1459 np=radix-inverseModInt(modInt(n,radix),radix);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1460 s7[kn]=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1461 multMod_(x ,s7,n); // x = x * 2*(knbp) mod n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1462
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1463 if (s3.length!=x.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1464 s3=dup(x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1465 else
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1466 copy_(s3,x);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1467
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1468 for (k1=y.length-1;k1>0 & !y[k1]; k1--); //k1=first nonzero element of y
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1469 if (y[k1]==0) { //anything to the 0th power is 1
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1470 copyInt_(x,1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1471 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1472 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1473 for (k2=1<<(bpe-1);k2 && !(y[k1] & k2); k2>>=1); //k2=position of first 1 bit in y[k1]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1474 for (;;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1475 if (!(k2>>=1)) { //look at next bit of y
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1476 k1--;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1477 if (k1<0) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1478 mont_(x,one,n,np);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1479 return;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1480 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1481 k2=1<<(bpe-1);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1482 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1483 mont_(x,x,n,np);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1484
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1485 if (k2 & y[k1]) //if next bit is a 1
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1486 mont_(x,s3,n,np);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1487 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1488 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1489
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1490
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1491 //do x=xyRi mod n for bigInts x,y,n,
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1492 // where Ri = 2*(-knbpe) mod n, and kn is the
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1493 // number of elements in the n array, not
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1494 // counting leading zeros.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1495 //x array must have at least as many elemnts as the n array
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1496 //It's OK if x and y are the same variable.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1497 //must have:
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1498 // x,y < n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1499 // n is odd
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1500 // np = -(n^(-1)) mod radix
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1501 function mont_(x,y,n,np) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1502 var i,j,c,ui,t,t2,ks;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1503 var kn=n.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1504 var ky=y.length;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1505
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1506 if (sa.length!=kn)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1507 sa=new Array(kn);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1508
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1509 copyInt_(sa,0);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1510
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1511 for (;kn>0 && n[kn-1]==0;kn--); //ignore leading zeros of n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1512 for (;ky>0 && y[ky-1]==0;ky--); //ignore leading zeros of y
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1513 ks=sa.length-1; //sa will never have more than this many nonzero elements.
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1514
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1515 //the following loop consumes 95% of the runtime for randTruePrime_() and powMod_() for large numbers
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1516 for (i=0; i<kn; i++) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1517 t=sa[0]+x[i]*y[0];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1518 ui=((t & mask) * np) & mask; //the inner "& mask" was needed on Safari (but not MSIE) at one time
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1519 c=(t+ui*n[0]);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1520 c = (c - (c & mask)) / radix;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1521 t=x[i];
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1522
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1523 //do sa=(sa+x[i]y+uin)/b where b=2**bpe. Loop is unrolled 5-fold for speed
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1524 j=1;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1525 for (;j<ky-4;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1526 c+=sa[j]+uin[j]+ty[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1527 c+=sa[j]+uin[j]+ty[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1528 c+=sa[j]+uin[j]+ty[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1529 c+=sa[j]+uin[j]+ty[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1530 c+=sa[j]+uin[j]+ty[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1531 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1532 for (;j<ky;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1533 c+=sa[j]+uin[j]+ty[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1534 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1535 for (;j<kn-4;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1536 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1537 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1538 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1539 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1540 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1541 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1542 for (;j<kn;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1543 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1544 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1545 for (;j<ks;) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1546 c+=sa[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1547 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1548 sa[j-1]=c & mask;
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1549 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1550
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1551 if (!greater(n,sa))
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1552 sub_(sa,n);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1553 copy_(x,sa);
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1554 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1555
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1556
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1557 // otr.js additions
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1558
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1559
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1560 // computes num / den mod n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1561 function divMod(num, den, n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1562 return multMod(num, inverseMod(den, n), n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1563 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1564
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1565 // computes one - two mod n
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1566 function subMod(one, two, n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1567 one = mod(one, n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1568 two = mod(two, n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1569 if (greater(two, one)) one = add(one, n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1570 return sub(one, two)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1571 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1572
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1573 // computes 2^m as a bigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1574 function twoToThe(m) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1575 var b = Math.floor(m / bpe) + 2
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1576 var t = new Array(b)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1577 for (var i = 0; i < b; i++) t[i] = 0
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1578 t[b - 2] = 1 << (m % bpe)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1579 return t
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1580 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1581
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1582 // cache these results for faster lookup
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1583 var _num2bin = (function () {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1584 var i = 0, _num2bin= {}
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1585 for (; i < 0x100; ++i) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1586 _num2bin[i] = String.fromCharCode(i) // 0 -> "\00"
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1587 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1588 return _num2bin
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1589 }())
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1590
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1591 // serialize a bigInt to an ascii string
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1592 // padded up to pad length
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1593 function bigInt2bits(bi, pad) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1594 pad \|\| (pad = 0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1595 bi = dup(bi)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1596 var ba = ''
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1597 while (!isZero(bi)) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1598 ba = _num2bin[bi[0] & 0xff] + ba
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1599 rightShift_(bi, 8)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1600 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1601 while (ba.length < pad) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1602 ba = '\x00' + ba
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1603 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1604 return ba
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1605 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1606
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1607 // converts a byte array to a bigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1608 function ba2bigInt(data) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1609 var mpi = str2bigInt('0', 10, data.length)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1610 data.forEach(function (d, i) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1611 if (i) leftShift_(mpi, 8)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1612 mpi[0] \|= d
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1613 })
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1614 return mpi
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1615 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1616
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1617 // returns a function that returns an array of n bytes
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1618 var randomBytes = (function () {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1619
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1620 // in node
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1621 if ( typeof crypto !== 'undefined' &&
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1622 typeof crypto.randomBytes === 'function' ) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1623 return function (n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1624 try {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1625 var buf = crypto.randomBytes(n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1626 } catch (e) { throw e }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1627 return Array.prototype.slice.call(buf, 0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1628 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1629 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1630
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1631 // in browser
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1632 else if ( typeof crypto !== 'undefined' &&
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1633 typeof crypto.getRandomValues === 'function' ) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1634 return function (n) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1635 var buf = new Uint8Array(n)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1636 crypto.getRandomValues(buf)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1637 return Array.prototype.slice.call(buf, 0)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1638 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1639 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1640
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1641 // err
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1642 else {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1643 throw new Error('Keys should not be generated without CSPRNG.')
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1644 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1645
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1646 }())
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1647
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1648 // Salsa 20 in webworker needs a 40 byte seed
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1649 function getSeed() {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1650 return randomBytes(40)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1651 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1652
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1653 // returns a single random byte
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1654 function randomByte() {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1655 return randomBytes(1)[0]
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1656 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1657
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1658 // returns a k-bit random integer
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1659 function randomBitInt(k) {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1660 if (k > 31) throw new Error("Too many bits.")
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1661 var i = 0, r = 0
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1662 var b = Math.floor(k / 8)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1663 var mask = (1 << (k % 8)) - 1
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1664 if (mask) r = randomByte() & mask
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1665 for (; i < b; i++)
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1666 r = (256 * r) + randomByte()
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1667 return r
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1668 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1669
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1670 return {
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1671 str2bigInt : str2bigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1672 , bigInt2str : bigInt2str
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1673 , int2bigInt : int2bigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1674 , multMod : multMod
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1675 , powMod : powMod
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1676 , inverseMod : inverseMod
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1677 , randBigInt : randBigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1678 , randBigInt_ : randBigInt_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1679 , equals : equals
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1680 , equalsInt : equalsInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1681 , sub : sub
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1682 , mod : mod
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1683 , modInt : modInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1684 , mult : mult
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1685 , divInt_ : divInt_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1686 , rightShift_ : rightShift_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1687 , dup : dup
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1688 , greater : greater
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1689 , add : add
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1690 , isZero : isZero
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1691 , bitSize : bitSize
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1692 , millerRabin : millerRabin
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1693 , divide_ : divide_
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1694 , trim : trim
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1695 , primes : primes
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1696 , findPrimes : findPrimes
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1697 , getSeed : getSeed
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1698 , divMod : divMod
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1699 , subMod : subMod
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1700 , twoToThe : twoToThe
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1701 , bigInt2bits : bigInt2bits
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1702 , ba2bigInt : ba2bigInt
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1703 }
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1704
1596660ddf72 Add minifier script for otr.js and its dependencies souliane <souliane@mailoo.org> parents: diff changeset	1705 }))