includes/clientside/static/crypto.js
author Dan
Fri, 05 Jun 2009 22:09:42 -0400
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child 1227 bdac73ed481e
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Fixed broken javascript magic on Admin:PageGroups
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////////////////////////////////////////////////////////////////////////////////////////
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// Big Integer Library v. 5.1
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// Created 2000, last modified 2007
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// Leemon Baird
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// www.leemon.com
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//
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// Version history:
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//
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// v 5.1  8 Oct 2007 
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//   - renamed inverseModInt_ to inverseModInt since it doesn't change its parameters
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//   - added functions GCD and randBigInt, which call GCD_ and randBigInt_
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//   - fixed a bug found by Rob Visser (see comment with his name below)
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//   - improved comments
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//
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// This file is public domain.   You can use it for any purpose without restriction.
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// I do not guarantee that it is correct, so use it at your own risk.  If you use 
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// it for something interesting, I'd appreciate hearing about it.  If you find 
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// any bugs or make any improvements, I'd appreciate hearing about those too.
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// It would also be nice if my name and address were left in the comments.
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// But none of that is required.
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//
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// This code defines a bigInt library for arbitrary-precision integers.
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// A bigInt is an array of integers storing the value in chunks of bpe bits, 
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// little endian (buff[0] is the least significant word).
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// Negative bigInts are stored two's complement.
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// Some functions assume their parameters have at least one leading zero element.
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// Functions with an underscore at the end of the name have unpredictable behavior in case of overflow, 
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// so the caller must make sure the arrays must be big enough to hold the answer.
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// For each function where a parameter is modified, that same 
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// variable must not be used as another argument too.
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// So, you cannot square x by doing multMod_(x,x,n).  
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// You must use squareMod_(x,n) instead, or do y=dup(x); multMod_(x,y,n).
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//
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// These functions are designed to avoid frequent dynamic memory allocation in the inner loop.
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// For most functions, if it needs a BigInt as a local variable it will actually use
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// a global, and will only allocate to it only when it's not the right size.  This ensures
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// that when a function is called repeatedly with same-sized parameters, it only allocates
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// memory on the first call.
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//
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// Note that for cryptographic purposes, the calls to Math.random() must 
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// be replaced with calls to a better pseudorandom number generator.
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//
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// In the following, "bigInt" means a bigInt with at least one leading zero element,
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// and "integer" means a nonnegative integer less than radix.  In some cases, integer 
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// can be negative.  Negative bigInts are 2s complement.
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// 
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// The following functions do not modify their inputs.
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// Those returning a bigInt, string, or Array will dynamically allocate memory for that value.
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// Those returning a boolean will return the integer 0 (false) or 1 (true).
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// Those returning boolean or int will not allocate memory except possibly on the first time they're called with a given parameter size.
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// 
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// bigInt  add(x,y)               //return (x+y) for bigInts x and y.  
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// bigInt  addInt(x,n)            //return (x+n) where x is a bigInt and n is an integer.
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// string  bigInt2str(x,base)     //return a string form of bigInt x in a given base, with 2 <= base <= 95
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// int     bitSize(x)             //return how many bits long the bigInt x is, not counting leading zeros
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// bigInt  dup(x)                 //return a copy of bigInt x
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// boolean equals(x,y)            //is the bigInt x equal to the bigint y?
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// boolean equalsInt(x,y)         //is bigint x equal to integer y?
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// bigInt  expand(x,n)            //return a copy of x with at least n elements, adding leading zeros if needed
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// Array   findPrimes(n)          //return array of all primes less than integer n
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// bigInt  GCD(x,y)               //return greatest common divisor of bigInts x and y (each with same number of elements).
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// boolean greater(x,y)           //is x>y?  (x and y are nonnegative bigInts)
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// boolean greaterShift(x,y,shift)//is (x <<(shift*bpe)) > y?
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// bigInt  int2bigInt(t,n,m)      //return a bigInt equal to integer t, with at least n bits and m array elements
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// bigInt  inverseMod(x,n)        //return (x**(-1) mod n) for bigInts x and n.  If no inverse exists, it returns null
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// int     inverseModInt(x,n)     //return x**(-1) mod n, for integers x and n.  Return 0 if there is no inverse
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// boolean isZero(x)              //is the bigInt x equal to zero?
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// boolean millerRabin(x,b)       //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime (as opposed to definitely composite)?
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// bigInt  mod(x,n)               //return a new bigInt equal to (x mod n) for bigInts x and n.
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// int     modInt(x,n)            //return x mod n for bigInt x and integer n.
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// bigInt  mult(x,y)              //return x*y for bigInts x and y. This is faster when y<x.
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// bigInt  multMod(x,y,n)         //return (x*y mod n) for bigInts x,y,n.  For greater speed, let y<x.
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// boolean negative(x)            //is bigInt x negative?
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// bigInt  powMod(x,y,n)          //return (x**y mod n) where x,y,n are bigInts and ** is exponentiation.  0**0=1. Faster for odd n.
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// 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.
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// bigInt  randTruePrime(k)       //return a new, random, k-bit, true prime bigInt using Maurer's algorithm.
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// 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
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// bigInt  sub(x,y)               //return (x-y) for bigInts x and y.  Negative answers will be 2s complement
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// bigInt  bigint_trim(x,k)              //return a copy of x with exactly k leading zero elements
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//
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//
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// The following functions each have a non-underscored version, which most users should call instead.
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// These functions each write to a single parameter, and the caller is responsible for ensuring the array 
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// passed in is large enough to hold the result. 
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//
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// void    addInt_(x,n)          //do x=x+n where x is a bigInt and n is an integer
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// void    add_(x,y)             //do x=x+y for bigInts x and y
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// void    copy_(x,y)            //do x=y on bigInts x and y
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// void    copyInt_(x,n)         //do x=n on bigInt x and integer n
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// void    GCD_(x,y)             //set x to the greatest common divisor of bigInts x and y, (y is destroyed).  (This never overflows its array).
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// boolean inverseMod_(x,n)      //do x=x**(-1) mod n, for bigInts x and n. Returns 1 (0) if inverse does (doesn't) exist
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// void    mod_(x,n)             //do x=x mod n for bigInts x and n. (This never overflows its array).
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// void    mult_(x,y)            //do x=x*y for bigInts x and y.
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// void    multMod_(x,y,n)       //do x=x*y  mod n for bigInts x,y,n.
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// void    powMod_(x,y,n)        //do x=x**y mod n, where x,y,n are bigInts (n is odd) and ** is exponentiation.  0**0=1.
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// 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.
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// void    randTruePrime_(ans,k) //do ans = a random k-bit true random prime (not just probable prime) with 1 in the msb.
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// void    sub_(x,y)             //do x=x-y for bigInts x and y. Negative answers will be 2s complement.
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//
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// The following functions do NOT have a non-underscored version. 
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// They each write a bigInt result to one or more parameters.  The caller is responsible for
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// ensuring the arrays passed in are large enough to hold the results. 
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//
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// void addShift_(x,y,ys)       //do x=x+(y<<(ys*bpe))
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// void carry_(x)               //do carries and borrows so each element of the bigInt x fits in bpe bits.
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// void divide_(x,y,q,r)        //divide x by y giving quotient q and remainder r
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// int  divInt_(x,n)            //do x=floor(x/n) for bigInt x and integer n, and return the remainder. (This never overflows its array).
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// int  eGCD_(x,y,d,a,b)        //sets a,b,d to positive bigInts such that d = GCD_(x,y) = a*x-b*y
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// void halve_(x)               //do x=floor(|x|/2)*sgn(x) for bigInt x in 2's complement.  (This never overflows its array).
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// void leftShift_(x,n)         //left shift bigInt x by n bits.  n<bpe.
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// void linComb_(x,y,a,b)       //do x=a*x+b*y for bigInts x and y and integers a and b
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// void linCombShift_(x,y,b,ys) //do x=x+b*(y<<(ys*bpe)) for bigInts x and y, and integers b and ys
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// void mont_(x,y,n,np)         //Montgomery multiplication (see comments where the function is defined)
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// void multInt_(x,n)           //do x=x*n where x is a bigInt and n is an integer.
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// void rightShift_(x,n)        //right shift bigInt x by n bits.  0 <= n < bpe. (This never overflows its array).
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// void squareMod_(x,n)         //do x=x*x  mod n for bigInts x,n
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// void subShift_(x,y,ys)       //do x=x-(y<<(ys*bpe)). Negative answers will be 2s complement.
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//
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// The following functions are based on algorithms from the _Handbook of Applied Cryptography_
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//    powMod_()           = algorithm 14.94, Montgomery exponentiation
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//    eGCD_,inverseMod_() = algorithm 14.61, Binary extended GCD_
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//    GCD_()              = algorothm 14.57, Lehmer's algorithm
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//    mont_()             = algorithm 14.36, Montgomery multiplication
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//    divide_()           = algorithm 14.20  Multiple-precision division
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//    squareMod_()        = algorithm 14.16  Multiple-precision squaring
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//    randTruePrime_()    = algorithm  4.62, Maurer's algorithm
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//    millerRabin()       = algorithm  4.24, Miller-Rabin algorithm
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//
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// Profiling shows:
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//     randTruePrime_() spends:
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//         10% of its time in calls to powMod_()
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//         85% of its time in calls to millerRabin()
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//     millerRabin() spends:
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//         99% of its time in calls to powMod_()   (always with a base of 2)
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//     powMod_() spends:
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//         94% of its time in calls to mont_()  (almost always with x==y)
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//
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// This suggests there are several ways to speed up this library slightly:
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//     - convert powMod_ to use a Montgomery form of k-ary window (or maybe a Montgomery form of sliding window)
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//         -- this should especially focus on being fast when raising 2 to a power mod n
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//     - convert randTruePrime_() to use a minimum r of 1/3 instead of 1/2 with the appropriate change to the test
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//     - tune the parameters in randTruePrime_(), including c, m, and recLimit
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//     - speed up the single loop in mont_() that takes 95% of the runtime, perhaps by reducing checking
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//       within the loop when all the parameters are the same length.
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//
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// There are several ideas that look like they wouldn't help much at all:
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//     - replacing trial division in randTruePrime_() with a sieve (that speeds up something taking almost no time anyway)
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//     - increase bpe from 15 to 30 (that would help if we had a 32*32->64 multiplier, but not with JavaScript's 32*32->32)
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//     - speeding up mont_(x,y,n,np) when x==y by doing a non-modular, non-Montgomery square
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//       followed by a Montgomery reduction.  The intermediate answer will be twice as long as x, so that
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//       method would be slower.  This is unfortunate because the code currently spends almost all of its time
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//       doing mont_(x,x,...), both for randTruePrime_() and powMod_().  A faster method for Montgomery squaring
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//       would have a large impact on the speed of randTruePrime_() and powMod_().  HAC has a couple of poorly-worded
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//       sentences that seem to imply it's faster to do a non-modular square followed by a single
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//       Montgomery reduction, but that's obviously wrong.
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////////////////////////////////////////////////////////////////////////////////////////
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//globals
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bpe=0;         //bits stored per array element
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mask=0;        //AND this with an array element to chop it down to bpe bits
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radix=mask+1;  //equals 2^bpe.  A single 1 bit to the left of the last bit of mask.
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//the digits for converting to different bases
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digitsStr='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz_=!@#$%^&*()[]{}|;:,.<>/?`~ \\\'\"+-';
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//initialize the global variables
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for (bpe=0; (1<<(bpe+1)) > (1<<bpe); bpe++);  //bpe=number of bits in the mantissa on this platform
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bpe>>=1;                   //bpe=number of bits in one element of the array representing the bigInt
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mask=(1<<bpe)-1;           //AND the mask with an integer to get its bpe least significant bits
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radix=mask+1;              //2^bpe.  a single 1 bit to the left of the first bit of mask
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one=int2bigInt(1,1,1);     //constant used in powMod_()
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//the following global variables are scratchpad memory to 
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//reduce dynamic memory allocation in the inner loop
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t=new Array(0);
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ss=t;       //used in mult_()
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s0=t;       //used in multMod_(), squareMod_() 
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s1=t;       //used in powMod_(), multMod_(), squareMod_() 
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s2=t;       //used in powMod_(), multMod_()
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s3=t;       //used in powMod_()
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s4=t; s5=t; //used in mod_()
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s6=t;       //used in bigInt2str()
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s7=t;       //used in powMod_()
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T=t;        //used in GCD_()
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sa=t;       //used in mont_()
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mr_x1=t; mr_r=t; mr_a=t;                                      //used in millerRabin()
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eg_v=t; eg_u=t; eg_A=t; eg_B=t; eg_C=t; eg_D=t;               //used in eGCD_(), inverseMod_()
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md_q1=t; md_q2=t; md_q3=t; md_r=t; md_r1=t; md_r2=t; md_tt=t; //used in mod_()
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primes=t; pows=t; s_i=t; s_i2=t; s_R=t; s_rm=t; s_q=t; s_n1=t; 
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  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_()
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////////////////////////////////////////////////////////////////////////////////////////
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//return array of all primes less than integer n
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function findPrimes(n) {
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  var i,s,p,ans;
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  s=new Array(n);
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  for (i=0;i<n;i++)
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    s[i]=0;
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  s[0]=2;
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  p=0;    //first p elements of s are primes, the rest are a sieve
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  for(;s[p]<n;) {                  //s[p] is the pth prime
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    for(i=s[p]*s[p]; i<n; i+=s[p]) //mark multiples of s[p]
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      s[i]=1;
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    p++;
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    s[p]=s[p-1]+1;
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    for(; s[p]<n && s[s[p]]; s[p]++); //find next prime (where s[p]==0)
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  }
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  ans=new Array(p);
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  for(i=0;i<p;i++)
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    ans[i]=s[i];
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  return ans;
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}
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//does a single round of Miller-Rabin base b consider x to be a possible prime?
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//x is a bigInt, and b is an integer
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function millerRabin(x,b) {
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  var i,j,k,s;
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  if (mr_x1.length!=x.length) {
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    mr_x1=dup(x);
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    mr_r=dup(x);
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    mr_a=dup(x);
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  }
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  copyInt_(mr_a,b);
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  copy_(mr_r,x);
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  copy_(mr_x1,x);
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  addInt_(mr_r,-1);
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  addInt_(mr_x1,-1);
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  //s=the highest power of two that divides mr_r
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  k=0;
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  for (i=0;i<mr_r.length;i++)
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    for (j=1;j<mask;j<<=1)
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      if (x[i] & j) {
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        s=(k<mr_r.length+bpe ? k : 0); 
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         i=mr_r.length;
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         j=mask;
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      } else
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        k++;
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  if (s)                
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    rightShift_(mr_r,s);
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  powMod_(mr_a,mr_r,x);
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  if (!equalsInt(mr_a,1) && !equals(mr_a,mr_x1)) {
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    j=1;
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    while (j<=s-1 && !equals(mr_a,mr_x1)) {
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      squareMod_(mr_a,x);
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      if (equalsInt(mr_a,1)) {
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        return 0;
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      }
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      j++;
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    }
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    if (!equals(mr_a,mr_x1)) {
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      return 0;
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    }
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  }
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  return 1;  
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}
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//returns how many bits long the bigInt is, not counting leading zeros.
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function bitSize(x) {
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  var j,z,w;
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  for (j=x.length-1; (x[j]==0) && (j>0); j--);
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  for (z=0,w=x[j]; w; (w>>=1),z++);
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  z+=bpe*j;
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  return z;
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}
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//return a copy of x with at least n elements, adding leading zeros if needed
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function expand(x,n) {
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  var ans=int2bigInt(0,(x.length>n ? x.length : n)*bpe,0);
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  copy_(ans,x);
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  return ans;
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}
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//return a k-bit true random prime using Maurer's algorithm.
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   283
function randTruePrime(k) {
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Dan
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   284
  var ans=int2bigInt(0,k,0);
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Dan
parents:
diff changeset
   285
  randTruePrime_(ans,k);
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diff changeset
   286
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   287
}
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Dan
parents:
diff changeset
   288
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Dan
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   289
//return a new bigInt equal to (x mod n) for bigInts x and n.
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Dan
parents:
diff changeset
   290
function mod(x,n) {
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Dan
parents:
diff changeset
   291
  var ans=dup(x);
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Dan
parents:
diff changeset
   292
  mod_(ans,n);
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Dan
parents:
diff changeset
   293
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   294
}
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Dan
parents:
diff changeset
   295
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Dan
parents:
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   296
//return (x+n) where x is a bigInt and n is an integer.
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Dan
parents:
diff changeset
   297
function addInt(x,n) {
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Dan
parents:
diff changeset
   298
  var ans=expand(x,x.length+1);
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Dan
parents:
diff changeset
   299
  addInt_(ans,n);
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Dan
parents:
diff changeset
   300
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   301
}
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Dan
parents:
diff changeset
   302
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Dan
parents:
diff changeset
   303
//return x*y for bigInts x and y. This is faster when y<x.
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Dan
parents:
diff changeset
   304
function mult(x,y) {
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Dan
parents:
diff changeset
   305
  var ans=expand(x,x.length+y.length);
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Dan
parents:
diff changeset
   306
  mult_(ans,y);
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Dan
parents:
diff changeset
   307
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   308
}
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Dan
parents:
diff changeset
   309
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Dan
parents:
diff changeset
   310
//return (x**y mod n) where x,y,n are bigInts and ** is exponentiation.  0**0=1. Faster for odd n.
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Dan
parents:
diff changeset
   311
function powMod(x,y,n) {
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Dan
parents:
diff changeset
   312
  var ans=expand(x,n.length);  
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Dan
parents:
diff changeset
   313
  powMod_(ans,bigint_trim(y,2),bigint_trim(n,2),0);  //this should work without the trim, but doesn't
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Dan
parents:
diff changeset
   314
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   315
}
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Dan
parents:
diff changeset
   316
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Dan
parents:
diff changeset
   317
//return (x-y) for bigInts x and y.  Negative answers will be 2s complement
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Dan
parents:
diff changeset
   318
function sub(x,y) {
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Dan
parents:
diff changeset
   319
  var ans=expand(x,(x.length>y.length ? x.length+1 : y.length+1)); 
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Dan
parents:
diff changeset
   320
  sub_(ans,y);
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Dan
parents:
diff changeset
   321
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   322
}
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Dan
parents:
diff changeset
   323
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Dan
parents:
diff changeset
   324
//return (x+y) for bigInts x and y.  
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Dan
parents:
diff changeset
   325
function add(x,y) {
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Dan
parents:
diff changeset
   326
  var ans=expand(x,(x.length>y.length ? x.length+1 : y.length+1)); 
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Dan
parents:
diff changeset
   327
  add_(ans,y);
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Dan
parents:
diff changeset
   328
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   329
}
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Dan
parents:
diff changeset
   330
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   331
//return (x**(-1) mod n) for bigInts x and n.  If no inverse exists, it returns null
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Dan
parents:
diff changeset
   332
function inverseMod(x,n) {
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Dan
parents:
diff changeset
   333
  var ans=expand(x,n.length); 
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Dan
parents:
diff changeset
   334
  var s;
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Dan
parents:
diff changeset
   335
  s=inverseMod_(ans,n);
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Dan
parents:
diff changeset
   336
  return s ? bigint_trim(ans,1) : null;
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Dan
parents:
diff changeset
   337
}
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Dan
parents:
diff changeset
   338
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Dan
parents:
diff changeset
   339
//return (x*y mod n) for bigInts x,y,n.  For greater speed, let y<x.
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Dan
parents:
diff changeset
   340
function multMod(x,y,n) {
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Dan
parents:
diff changeset
   341
  var ans=expand(x,n.length);
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Dan
parents:
diff changeset
   342
  multMod_(ans,y,n);
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Dan
parents:
diff changeset
   343
  return bigint_trim(ans,1);
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Dan
parents:
diff changeset
   344
}
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Dan
parents:
diff changeset
   345
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Dan
parents:
diff changeset
   346
//generate a k-bit true random prime using Maurer's algorithm,
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Dan
parents:
diff changeset
   347
//and put it into ans.  The bigInt ans must be large enough to hold it.
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Dan
parents:
diff changeset
   348
function randTruePrime_(ans,k) {
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Dan
parents:
diff changeset
   349
  var c,m,pm,dd,j,r,B,divisible,z,zz,recSize;
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Dan
parents:
diff changeset
   350
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Dan
parents:
diff changeset
   351
  if (primes.length==0)
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Dan
parents:
diff changeset
   352
    primes=findPrimes(30000);  //check for divisibility by primes <=30000
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Dan
parents:
diff changeset
   353
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   354
  if (pows.length==0) {
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Dan
parents:
diff changeset
   355
    pows=new Array(512);
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Dan
parents:
diff changeset
   356
    for (j=0;j<512;j++) {
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Dan
parents:
diff changeset
   357
      pows[j]=Math.pow(2,j/511.-1.);
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Dan
parents:
diff changeset
   358
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   359
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   360
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Dan
parents:
diff changeset
   361
  //c and m should be tuned for a particular machine and value of k, to maximize speed
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Dan
parents:
diff changeset
   362
  c=0.1;  //c=0.1 in HAC
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Dan
parents:
diff changeset
   363
  m=20;   //generate this k-bit number by first recursively generating a number that has between k/2 and k-m bits
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Dan
parents:
diff changeset
   364
  recLimit=20; //stop recursion when k <=recLimit.  Must have recLimit >= 2
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Dan
parents:
diff changeset
   365
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Dan
parents:
diff changeset
   366
  if (s_i2.length!=ans.length) {
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Dan
parents:
diff changeset
   367
    s_i2=dup(ans);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   368
    s_R =dup(ans);
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Dan
parents:
diff changeset
   369
    s_n1=dup(ans);
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Dan
parents:
diff changeset
   370
    s_r2=dup(ans);
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Dan
parents:
diff changeset
   371
    s_d =dup(ans);
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Dan
parents:
diff changeset
   372
    s_x1=dup(ans);
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Dan
parents:
diff changeset
   373
    s_x2=dup(ans);
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Dan
parents:
diff changeset
   374
    s_b =dup(ans);
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Dan
parents:
diff changeset
   375
    s_n =dup(ans);
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Dan
parents:
diff changeset
   376
    s_i =dup(ans);
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Dan
parents:
diff changeset
   377
    s_rm=dup(ans);
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Dan
parents:
diff changeset
   378
    s_q =dup(ans);
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Dan
parents:
diff changeset
   379
    s_a =dup(ans);
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Dan
parents:
diff changeset
   380
    s_aa=dup(ans);
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Dan
parents:
diff changeset
   381
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   382
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   383
  if (k <= recLimit) {  //generate small random primes by trial division up to its square root
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Dan
parents:
diff changeset
   384
    pm=(1<<((k+2)>>1))-1; //pm is binary number with all ones, just over sqrt(2^k)
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Dan
parents:
diff changeset
   385
    copyInt_(ans,0);
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Dan
parents:
diff changeset
   386
    for (dd=1;dd;) {
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Dan
parents:
diff changeset
   387
      dd=0;
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Dan
parents:
diff changeset
   388
      ans[0]= 1 | (1<<(k-1)) | Math.floor(Math.random()*(1<<k));  //random, k-bit, odd integer, with msb 1
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Dan
parents:
diff changeset
   389
      for (j=1;(j<primes.length) && ((primes[j]&pm)==primes[j]);j++) { //trial division by all primes 3...sqrt(2^k)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   390
        if (0==(ans[0]%primes[j])) {
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Dan
parents:
diff changeset
   391
          dd=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   392
          break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   393
        }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   394
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   395
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   396
    carry_(ans);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   397
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   398
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   399
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   400
  B=c*k*k;    //try small primes up to B (or all the primes[] array if the largest is less than B).
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   401
  if (k>2*m)  //generate this k-bit number by first recursively generating a number that has between k/2 and k-m bits
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   402
    for (r=1; k-k*r<=m; )
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   403
      r=pows[Math.floor(Math.random()*512)];   //r=Math.pow(2,Math.random()-1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   404
  else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   405
    r=.5;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   406
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   407
  //simulation suggests the more complex algorithm using r=.333 is only slightly faster.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   408
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   409
  recSize=Math.floor(r*k)+1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   410
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   411
  randTruePrime_(s_q,recSize);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   412
  copyInt_(s_i2,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   413
  s_i2[Math.floor((k-2)/bpe)] |= (1<<((k-2)%bpe));   //s_i2=2^(k-2)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   414
  divide_(s_i2,s_q,s_i,s_rm);                        //s_i=floor((2^(k-1))/(2q))
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   415
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   416
  z=bitSize(s_i);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   417
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   418
  for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   419
    for (;;) {  //generate z-bit numbers until one falls in the range [0,s_i-1]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   420
      randBigInt_(s_R,z,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   421
      if (greater(s_i,s_R))
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   422
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   423
    }                //now s_R is in the range [0,s_i-1]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   424
    addInt_(s_R,1);  //now s_R is in the range [1,s_i]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   425
    add_(s_R,s_i);   //now s_R is in the range [s_i+1,2*s_i]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   426
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   427
    copy_(s_n,s_q);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   428
    mult_(s_n,s_R); 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   429
    multInt_(s_n,2);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   430
    addInt_(s_n,1);    //s_n=2*s_R*s_q+1
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   431
    
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   432
    copy_(s_r2,s_R);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   433
    multInt_(s_r2,2);  //s_r2=2*s_R
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   434
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   435
    //check s_n for divisibility by small primes up to B
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   436
    for (divisible=0,j=0; (j<primes.length) && (primes[j]<B); j++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   437
      if (modInt(s_n,primes[j])==0) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   438
        divisible=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   439
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   440
      }      
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   441
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   442
    if (!divisible)    //if it passes small primes check, then try a single Miller-Rabin base 2
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   443
      if (!millerRabin(s_n,2)) //this line represents 75% of the total runtime for randTruePrime_ 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   444
        divisible=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   445
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   446
    if (!divisible) {  //if it passes that test, continue checking s_n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   447
      addInt_(s_n,-3);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   448
      for (j=s_n.length-1;(s_n[j]==0) && (j>0); j--);  //strip leading zeros
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   449
      for (zz=0,w=s_n[j]; w; (w>>=1),zz++);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   450
      zz+=bpe*j;                             //zz=number of bits in s_n, ignoring leading zeros
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   451
      for (;;) {  //generate z-bit numbers until one falls in the range [0,s_n-1]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   452
        randBigInt_(s_a,zz,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   453
        if (greater(s_n,s_a))
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   454
          break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   455
      }                //now s_a is in the range [0,s_n-1]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   456
      addInt_(s_n,3);  //now s_a is in the range [0,s_n-4]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   457
      addInt_(s_a,2);  //now s_a is in the range [2,s_n-2]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   458
      copy_(s_b,s_a);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   459
      copy_(s_n1,s_n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   460
      addInt_(s_n1,-1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   461
      powMod_(s_b,s_n1,s_n);   //s_b=s_a^(s_n-1) modulo s_n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   462
      addInt_(s_b,-1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   463
      if (isZero(s_b)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   464
        copy_(s_b,s_a);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   465
        powMod_(s_b,s_r2,s_n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   466
        addInt_(s_b,-1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   467
        copy_(s_aa,s_n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   468
        copy_(s_d,s_b);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   469
        GCD_(s_d,s_n);  //if s_b and s_n are relatively prime, then s_n is a prime
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   470
        if (equalsInt(s_d,1)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   471
          copy_(ans,s_aa);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   472
          return;     //if we've made it this far, then s_n is absolutely guaranteed to be prime
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   473
        }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   474
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   475
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   476
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   477
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   478
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   479
//Return an n-bit random BigInt (n>=1).  If s=1, then the most significant of those n bits is set to 1.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   480
function randBigInt(n,s) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   481
  var a,b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   482
  a=Math.floor((n-1)/bpe)+2; //# array elements to hold the BigInt with a leading 0 element
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   483
  b=int2bigInt(0,0,a);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   484
  randBigInt_(b,n,s);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   485
  return b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   486
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   487
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   488
//Set b to an n-bit random BigInt.  If s=1, then the most significant of those n bits is set to 1.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   489
//Array b must be big enough to hold the result. Must have n>=1
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   490
function randBigInt_(b,n,s) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   491
  var i,a;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   492
  for (i=0;i<b.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   493
    b[i]=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   494
  a=Math.floor((n-1)/bpe)+1; //# array elements to hold the BigInt
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   495
  for (i=0;i<a;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   496
    b[i]=Math.floor(Math.random()*(1<<(bpe-1)));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   497
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   498
  b[a-1] &= (2<<((n-1)%bpe))-1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   499
  if (s==1)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   500
    b[a-1] |= (1<<((n-1)%bpe));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   501
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   502
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   503
//Return the greatest common divisor of bigInts x and y (each with same number of elements).
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   504
function GCD(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   505
  var xc,yc;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   506
  xc=dup(x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   507
  yc=dup(y);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   508
  GCD_(xc,yc);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   509
  return xc;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   510
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   511
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   512
//set x to the greatest common divisor of bigInts x and y (each with same number of elements).
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   513
//y is destroyed.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   514
function GCD_(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   515
  var i,xp,yp,A,B,C,D,q,sing;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   516
  if (T.length!=x.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   517
    T=dup(x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   518
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   519
  sing=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   520
  while (sing) { //while y has nonzero elements other than y[0]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   521
    sing=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   522
    for (i=1;i<y.length;i++) //check if y has nonzero elements other than 0
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   523
      if (y[i]) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   524
        sing=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   525
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   526
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   527
    if (!sing) break; //quit when y all zero elements except possibly y[0]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   528
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   529
    for (i=x.length;!x[i] && i>=0;i--);  //find most significant element of x
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   530
    xp=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   531
    yp=y[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   532
    A=1; B=0; C=0; D=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   533
    while ((yp+C) && (yp+D)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   534
      q =Math.floor((xp+A)/(yp+C));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   535
      qp=Math.floor((xp+B)/(yp+D));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   536
      if (q!=qp)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   537
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   538
      t= A-q*C;   A=C;   C=t;    //  do (A,B,xp, C,D,yp) = (C,D,yp, A,B,xp) - q*(0,0,0, C,D,yp)      
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   539
      t= B-q*D;   B=D;   D=t;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   540
      t=xp-q*yp; xp=yp; yp=t;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   541
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   542
    if (B) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   543
      copy_(T,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   544
      linComb_(x,y,A,B); //x=A*x+B*y
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   545
      linComb_(y,T,D,C); //y=D*y+C*T
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   546
    } else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   547
      mod_(x,y);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   548
      copy_(T,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   549
      copy_(x,y);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   550
      copy_(y,T);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   551
    } 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   552
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   553
  if (y[0]==0)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   554
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   555
  t=modInt(x,y[0]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   556
  copyInt_(x,y[0]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   557
  y[0]=t;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   558
  while (y[0]) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   559
    x[0]%=y[0];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   560
    t=x[0]; x[0]=y[0]; y[0]=t;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   561
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   562
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   563
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   564
//do x=x**(-1) mod n, for bigInts x and n.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   565
//If no inverse exists, it sets x to zero and returns 0, else it returns 1.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   566
//The x array must be at least as large as the n array.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   567
function inverseMod_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   568
  var k=1+2*Math.max(x.length,n.length);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   569
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   570
  if(!(x[0]&1)  && !(n[0]&1)) {  //if both inputs are even, then inverse doesn't exist
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   571
    copyInt_(x,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   572
    return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   573
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   574
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   575
  if (eg_u.length!=k) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   576
    eg_u=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   577
    eg_v=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   578
    eg_A=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   579
    eg_B=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   580
    eg_C=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   581
    eg_D=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   582
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   583
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   584
  copy_(eg_u,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   585
  copy_(eg_v,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   586
  copyInt_(eg_A,1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   587
  copyInt_(eg_B,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   588
  copyInt_(eg_C,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   589
  copyInt_(eg_D,1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   590
  for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   591
    while(!(eg_u[0]&1)) {  //while eg_u is even
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   592
      halve_(eg_u);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   593
      if (!(eg_A[0]&1) && !(eg_B[0]&1)) { //if eg_A==eg_B==0 mod 2
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   594
        halve_(eg_A);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   595
        halve_(eg_B);      
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   596
      } else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   597
        add_(eg_A,n);  halve_(eg_A);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   598
        sub_(eg_B,x);  halve_(eg_B);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   599
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   600
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   601
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   602
    while (!(eg_v[0]&1)) {  //while eg_v is even
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   603
      halve_(eg_v);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   604
      if (!(eg_C[0]&1) && !(eg_D[0]&1)) { //if eg_C==eg_D==0 mod 2
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   605
        halve_(eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   606
        halve_(eg_D);      
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   607
      } else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   608
        add_(eg_C,n);  halve_(eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   609
        sub_(eg_D,x);  halve_(eg_D);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   610
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   611
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   612
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   613
    if (!greater(eg_v,eg_u)) { //eg_v <= eg_u
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   614
      sub_(eg_u,eg_v);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   615
      sub_(eg_A,eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   616
      sub_(eg_B,eg_D);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   617
    } else {                   //eg_v > eg_u
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   618
      sub_(eg_v,eg_u);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   619
      sub_(eg_C,eg_A);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   620
      sub_(eg_D,eg_B);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   621
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   622
  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   623
    if (equalsInt(eg_u,0)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   624
      if (negative(eg_C)) //make sure answer is nonnegative
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   625
        add_(eg_C,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   626
      copy_(x,eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   627
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   628
      if (!equalsInt(eg_v,1)) { //if GCD_(x,n)!=1, then there is no inverse
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   629
        copyInt_(x,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   630
        return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   631
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   632
      return 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   633
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   634
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   635
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   636
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   637
//return x**(-1) mod n, for integers x and n.  Return 0 if there is no inverse
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   638
function inverseModInt(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   639
  var a=1,b=0,t;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   640
  for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   641
    if (x==1) return a;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   642
    if (x==0) return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   643
    b-=a*Math.floor(n/x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   644
    n%=x;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   645
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   646
    if (n==1) return b; //to avoid negatives, change this b to n-b, and each -= to +=
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   647
    if (n==0) return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   648
    a-=b*Math.floor(x/n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   649
    x%=n;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   650
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   651
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   652
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   653
//this deprecated function is for backward compatibility only. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   654
function inverseModInt_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   655
   return inverseModInt(x,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   656
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   657
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   658
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   659
//Given positive bigInts x and y, change the bigints v, a, and b to positive bigInts such that:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   660
//     v = GCD_(x,y) = a*x-b*y
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   661
//The bigInts v, a, b, must have exactly as many elements as the larger of x and y.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   662
function eGCD_(x,y,v,a,b) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   663
  var g=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   664
  var k=Math.max(x.length,y.length);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   665
  if (eg_u.length!=k) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   666
    eg_u=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   667
    eg_A=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   668
    eg_B=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   669
    eg_C=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   670
    eg_D=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   671
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   672
  while(!(x[0]&1)  && !(y[0]&1)) {  //while x and y both even
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   673
    halve_(x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   674
    halve_(y);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   675
    g++;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   676
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   677
  copy_(eg_u,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   678
  copy_(v,y);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   679
  copyInt_(eg_A,1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   680
  copyInt_(eg_B,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   681
  copyInt_(eg_C,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   682
  copyInt_(eg_D,1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   683
  for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   684
    while(!(eg_u[0]&1)) {  //while u is even
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   685
      halve_(eg_u);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   686
      if (!(eg_A[0]&1) && !(eg_B[0]&1)) { //if A==B==0 mod 2
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   687
        halve_(eg_A);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   688
        halve_(eg_B);      
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   689
      } else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   690
        add_(eg_A,y);  halve_(eg_A);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   691
        sub_(eg_B,x);  halve_(eg_B);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   692
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   693
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   694
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   695
    while (!(v[0]&1)) {  //while v is even
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   696
      halve_(v);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   697
      if (!(eg_C[0]&1) && !(eg_D[0]&1)) { //if C==D==0 mod 2
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   698
        halve_(eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   699
        halve_(eg_D);      
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   700
      } else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   701
        add_(eg_C,y);  halve_(eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   702
        sub_(eg_D,x);  halve_(eg_D);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   703
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   704
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   705
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   706
    if (!greater(v,eg_u)) { //v<=u
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   707
      sub_(eg_u,v);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   708
      sub_(eg_A,eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   709
      sub_(eg_B,eg_D);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   710
    } else {                //v>u
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   711
      sub_(v,eg_u);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   712
      sub_(eg_C,eg_A);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   713
      sub_(eg_D,eg_B);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   714
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   715
    if (equalsInt(eg_u,0)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   716
      if (negative(eg_C)) {   //make sure a (C)is nonnegative
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   717
        add_(eg_C,y);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   718
        sub_(eg_D,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   719
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   720
      multInt_(eg_D,-1);  ///make sure b (D) is nonnegative
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   721
      copy_(a,eg_C);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   722
      copy_(b,eg_D);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   723
      leftShift_(v,g);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   724
      return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   725
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   726
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   727
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   728
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   729
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   730
//is bigInt x negative?
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   731
function negative(x) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   732
  return ((x[x.length-1]>>(bpe-1))&1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   733
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   734
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   735
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   736
//is (x << (shift*bpe)) > y?
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   737
//x and y are nonnegative bigInts
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   738
//shift is a nonnegative integer
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   739
function greaterShift(x,y,shift) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   740
  var kx=x.length, ky=y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   741
  k=((kx+shift)<ky) ? (kx+shift) : ky;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   742
  for (i=ky-1-shift; i<kx && i>=0; i++) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   743
    if (x[i]>0)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   744
      return 1; //if there are nonzeros in x to the left of the first column of y, then x is bigger
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   745
  for (i=kx-1+shift; i<ky; i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   746
    if (y[i]>0)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   747
      return 0; //if there are nonzeros in y to the left of the first column of x, then x is not bigger
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   748
  for (i=k-1; i>=shift; i--)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   749
    if      (x[i-shift]>y[i]) return 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   750
    else if (x[i-shift]<y[i]) return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   751
  return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   752
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   753
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   754
//is x > y? (x and y both nonnegative)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   755
function greater(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   756
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   757
  var k=(x.length<y.length) ? x.length : y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   758
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   759
  for (i=x.length;i<y.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   760
    if (y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   761
      return 0;  //y has more digits
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   762
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   763
  for (i=y.length;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   764
    if (x[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   765
      return 1;  //x has more digits
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   766
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   767
  for (i=k-1;i>=0;i--)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   768
    if (x[i]>y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   769
      return 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   770
    else if (x[i]<y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   771
      return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   772
  return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   773
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   774
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   775
//divide x by y giving quotient q and remainder r.  (q=floor(x/y),  r=x mod y).  All 4 are bigints.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   776
//x must have at least one leading zero element.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   777
//y must be nonzero.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   778
//q and r must be arrays that are exactly the same length as x. (Or q can have more).
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   779
//Must have x.length >= y.length >= 2.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   780
function divide_(x,y,q,r) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   781
  var kx, ky;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   782
  var i,j,y1,y2,c,a,b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   783
  copy_(r,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   784
  for (ky=y.length;y[ky-1]==0;ky--); //ky is number of elements in y, not including leading zeros
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   785
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   786
  //normalize: ensure the most significant element of y has its highest bit set  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   787
  b=y[ky-1];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   788
  for (a=0; b; a++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   789
    b>>=1;  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   790
  a=bpe-a;  //a is how many bits to shift so that the high order bit of y is leftmost in its array element
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   791
  leftShift_(y,a);  //multiply both by 1<<a now, then divide both by that at the end
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   792
  leftShift_(r,a);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   793
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   794
  //Rob Visser discovered a bug: the following line was originally just before the normalization.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   795
  for (kx=r.length;r[kx-1]==0 && kx>ky;kx--); //kx is number of elements in normalized x, not including leading zeros
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   796
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   797
  copyInt_(q,0);                      // q=0
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   798
  while (!greaterShift(y,r,kx-ky)) {  // while (leftShift_(y,kx-ky) <= r) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   799
    subShift_(r,y,kx-ky);             //   r=r-leftShift_(y,kx-ky)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   800
    q[kx-ky]++;                       //   q[kx-ky]++;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   801
  }                                   // }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   802
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   803
  for (i=kx-1; i>=ky; i--) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   804
    if (r[i]==y[ky-1])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   805
      q[i-ky]=mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   806
    else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   807
      q[i-ky]=Math.floor((r[i]*radix+r[i-1])/y[ky-1]);	
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   808
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   809
    //The following for(;;) loop is equivalent to the commented while loop, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   810
    //except that the uncommented version avoids overflow.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   811
    //The commented loop comes from HAC, which assumes r[-1]==y[-1]==0
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   812
    //  while (q[i-ky]*(y[ky-1]*radix+y[ky-2]) > r[i]*radix*radix+r[i-1]*radix+r[i-2])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   813
    //    q[i-ky]--;    
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   814
    for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   815
      y2=(ky>1 ? y[ky-2] : 0)*q[i-ky];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   816
      c=y2>>bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   817
      y2=y2 & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   818
      y1=c+q[i-ky]*y[ky-1];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   819
      c=y1>>bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   820
      y1=y1 & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   821
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   822
      if (c==r[i] ? y1==r[i-1] ? y2>(i>1 ? r[i-2] : 0) : y1>r[i-1] : c>r[i]) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   823
        q[i-ky]--;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   824
      else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   825
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   826
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   827
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   828
    linCombShift_(r,y,-q[i-ky],i-ky);    //r=r-q[i-ky]*leftShift_(y,i-ky)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   829
    if (negative(r)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   830
      addShift_(r,y,i-ky);         //r=r+leftShift_(y,i-ky)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   831
      q[i-ky]--;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   832
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   833
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   834
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   835
  rightShift_(y,a);  //undo the normalization step
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   836
  rightShift_(r,a);  //undo the normalization step
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   837
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   838
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   839
//do carries and borrows so each element of the bigInt x fits in bpe bits.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   840
function carry_(x) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   841
  var i,k,c,b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   842
  k=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   843
  c=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   844
  for (i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   845
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   846
    b=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   847
    if (c<0) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   848
      b=-(c>>bpe);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   849
      c+=b*radix;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   850
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   851
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   852
    c=(c>>bpe)-b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   853
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   854
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   855
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   856
//return x mod n for bigInt x and integer n.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   857
function modInt(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   858
  var i,c=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   859
  for (i=x.length-1; i>=0; i--)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   860
    c=(c*radix+x[i])%n;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   861
  return c;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   862
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   863
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   864
//convert the integer t into a bigInt with at least the given number of bits.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   865
//the returned array stores the bigInt in bpe-bit chunks, little endian (buff[0] is least significant word)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   866
//Pad the array with leading zeros so that it has at least minSize elements.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   867
//There will always be at least one leading 0 element.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   868
function int2bigInt(t,bits,minSize) {   
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   869
  var i,k;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   870
  k=Math.ceil(bits/bpe)+1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   871
  k=minSize>k ? minSize : k;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   872
  buff=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   873
  copyInt_(buff,t);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   874
  return buff;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   875
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   876
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   877
//return the bigInt given a string representation in a given base.  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   878
//Pad the array with leading zeros so that it has at least minSize elements.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   879
//If base=-1, then it reads in a space-separated list of array elements in decimal.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   880
//The array will always have at least one leading zero, unless base=-1.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   881
function str2bigInt(s,base,minSize) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   882
  var d, i, j, x, y, kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   883
  var k=s.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   884
  if (base==-1) { //comma-separated list of array elements in decimal
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   885
    x=new Array(0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   886
    for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   887
      y=new Array(x.length+1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   888
      for (i=0;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   889
        y[i+1]=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   890
      y[0]=parseInt(s,10);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   891
      x=y;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   892
      d=s.indexOf(',',0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   893
      if (d<1) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   894
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   895
      s=s.substring(d+1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   896
      if (s.length==0)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   897
        break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   898
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   899
    if (x.length<minSize) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   900
      y=new Array(minSize);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   901
      copy_(y,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   902
      return y;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   903
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   904
    return x;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   905
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   906
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   907
  x=int2bigInt(0,base*k,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   908
  for (i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   909
    d=digitsStr.indexOf(s.substring(i,i+1),0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   910
    if (base<=36 && d>=36)  //convert lowercase to uppercase if base<=36
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   911
      d-=26;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   912
    if (d<base && d>=0) {   //ignore illegal characters
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   913
      multInt_(x,base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   914
      addInt_(x,d);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   915
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   916
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   917
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   918
  for (k=x.length;k>0 && !x[k-1];k--); //strip off leading zeros
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   919
  k=minSize>k+1 ? minSize : k+1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   920
  y=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   921
  kk=k<x.length ? k : x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   922
  for (i=0;i<kk;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   923
    y[i]=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   924
  for (;i<k;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   925
    y[i]=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   926
  return y;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   927
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   928
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   929
//is bigint x equal to integer y?
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   930
//y must have less than bpe bits
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   931
function equalsInt(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   932
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   933
  if (x[0]!=y)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   934
    return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   935
  for (i=1;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   936
    if (x[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   937
      return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   938
  return 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   939
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   940
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   941
//are bigints x and y equal?
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   942
//this works even if x and y are different lengths and have arbitrarily many leading zeros
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   943
function equals(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   944
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   945
  var k=x.length<y.length ? x.length : y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   946
  for (i=0;i<k;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   947
    if (x[i]!=y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   948
      return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   949
  if (x.length>y.length) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   950
    for (;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   951
      if (x[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   952
        return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   953
  } else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   954
    for (;i<y.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   955
      if (y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   956
        return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   957
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   958
  return 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   959
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   960
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   961
//is the bigInt x equal to zero?
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   962
function isZero(x) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   963
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   964
  for (i=0;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   965
    if (x[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   966
      return 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   967
  return 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   968
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   969
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   970
//convert a bigInt into a string in a given base, from base 2 up to base 95.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   971
//Base -1 prints the contents of the array representing the number.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   972
function bigInt2str(x,base) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   973
  var i,t,s="";
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   974
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   975
  if (s6.length!=x.length) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   976
    s6=dup(x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   977
  else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   978
    copy_(s6,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   979
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   980
  if (base==-1) { //return the list of array contents
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   981
    for (i=x.length-1;i>0;i--)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   982
      s+=x[i]+',';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   983
    s+=x[0];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   984
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   985
  else { //return it in the given base
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   986
    while (!isZero(s6)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   987
      t=divInt_(s6,base);  //t=s6 % base; s6=floor(s6/base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   988
      s=digitsStr.substring(t,t+1)+s;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   989
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   990
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   991
  if (s.length==0)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   992
    s="0";
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   993
  return s;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   994
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   995
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   996
//returns a duplicate of bigInt x
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   997
function dup(x) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   998
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
   999
  buff=new Array(x.length);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1000
  copy_(buff,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1001
  return buff;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1002
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1003
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1004
//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).
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1005
function copy_(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1006
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1007
  var k=x.length<y.length ? x.length : y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1008
  for (i=0;i<k;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1009
    x[i]=y[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1010
  for (i=k;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1011
    x[i]=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1012
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1013
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1014
//do x=y on bigInt x and integer y.  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1015
function copyInt_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1016
  var i,c;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1017
  for (c=n,i=0;i<x.length;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1018
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1019
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1020
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1021
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1022
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1023
//do x=x+n where x is a bigInt and n is an integer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1024
//x must be large enough to hold the result.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1025
function addInt_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1026
  var i,k,c,b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1027
  x[0]+=n;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1028
  k=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1029
  c=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1030
  for (i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1031
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1032
    b=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1033
    if (c<0) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1034
      b=-(c>>bpe);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1035
      c+=b*radix;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1036
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1037
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1038
    c=(c>>bpe)-b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1039
    if (!c) return; //stop carrying as soon as the carry_ is zero
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1040
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1041
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1042
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1043
//right shift bigInt x by n bits.  0 <= n < bpe.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1044
function rightShift_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1045
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1046
  var k=Math.floor(n/bpe);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1047
  if (k) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1048
    for (i=0;i<x.length-k;i++) //right shift x by k elements
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1049
      x[i]=x[i+k];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1050
    for (;i<x.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1051
      x[i]=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1052
    n%=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1053
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1054
  for (i=0;i<x.length-1;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1055
    x[i]=mask & ((x[i+1]<<(bpe-n)) | (x[i]>>n));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1056
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1057
  x[i]>>=n;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1058
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1059
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1060
//do x=floor(|x|/2)*sgn(x) for bigInt x in 2's complement
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1061
function halve_(x) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1062
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1063
  for (i=0;i<x.length-1;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1064
    x[i]=mask & ((x[i+1]<<(bpe-1)) | (x[i]>>1));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1065
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1066
  x[i]=(x[i]>>1) | (x[i] & (radix>>1));  //most significant bit stays the same
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1067
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1068
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1069
//left shift bigInt x by n bits.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1070
function leftShift_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1071
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1072
  var k=Math.floor(n/bpe);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1073
  if (k) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1074
    for (i=x.length; i>=k; i--) //left shift x by k elements
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1075
      x[i]=x[i-k];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1076
    for (;i>=0;i--)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1077
      x[i]=0;  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1078
    n%=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1079
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1080
  if (!n)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1081
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1082
  for (i=x.length-1;i>0;i--) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1083
    x[i]=mask & ((x[i]<<n) | (x[i-1]>>(bpe-n)));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1084
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1085
  x[i]=mask & (x[i]<<n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1086
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1087
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1088
//do x=x*n where x is a bigInt and n is an integer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1089
//x must be large enough to hold the result.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1090
function multInt_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1091
  var i,k,c,b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1092
  if (!n)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1093
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1094
  k=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1095
  c=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1096
  for (i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1097
    c+=x[i]*n;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1098
    b=0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1099
    if (c<0) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1100
      b=-(c>>bpe);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1101
      c+=b*radix;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1102
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1103
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1104
    c=(c>>bpe)-b;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1105
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1106
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1107
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1108
//do x=floor(x/n) for bigInt x and integer n, and return the remainder
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1109
function divInt_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1110
  var i,r=0,s;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1111
  for (i=x.length-1;i>=0;i--) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1112
    s=r*radix+x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1113
    x[i]=Math.floor(s/n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1114
    r=s%n;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1115
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1116
  return r;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1117
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1118
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1119
//do the linear combination x=a*x+b*y for bigInts x and y, and integers a and b.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1120
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1121
function linComb_(x,y,a,b) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1122
  var i,c,k,kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1123
  k=x.length<y.length ? x.length : y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1124
  kk=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1125
  for (c=0,i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1126
    c+=a*x[i]+b*y[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1127
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1128
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1129
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1130
  for (i=k;i<kk;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1131
    c+=a*x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1132
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1133
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1134
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1135
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1136
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1137
//do the linear combination x=a*x+b*(y<<(ys*bpe)) for bigInts x and y, and integers a, b and ys.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1138
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1139
function linCombShift_(x,y,b,ys) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1140
  var i,c,k,kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1141
  k=x.length<ys+y.length ? x.length : ys+y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1142
  kk=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1143
  for (c=0,i=ys;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1144
    c+=x[i]+b*y[i-ys];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1145
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1146
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1147
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1148
  for (i=k;c && i<kk;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1149
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1150
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1151
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1152
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1153
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1154
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1155
//do x=x+(y<<(ys*bpe)) for bigInts x and y, and integers a,b and ys.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1156
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1157
function addShift_(x,y,ys) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1158
  var i,c,k,kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1159
  k=x.length<ys+y.length ? x.length : ys+y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1160
  kk=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1161
  for (c=0,i=ys;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1162
    c+=x[i]+y[i-ys];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1163
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1164
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1165
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1166
  for (i=k;c && i<kk;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1167
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1168
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1169
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1170
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1171
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1172
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1173
//do x=x-(y<<(ys*bpe)) for bigInts x and y, and integers a,b and ys.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1174
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1175
function subShift_(x,y,ys) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1176
  var i,c,k,kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1177
  k=x.length<ys+y.length ? x.length : ys+y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1178
  kk=x.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1179
  for (c=0,i=ys;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1180
    c+=x[i]-y[i-ys];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1181
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1182
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1183
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1184
  for (i=k;c && i<kk;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1185
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1186
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1187
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1188
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1189
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1190
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1191
//do x=x-y for bigInts x and y.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1192
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1193
//negative answers will be 2s complement
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1194
function sub_(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1195
  var i,c,k,kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1196
  k=x.length<y.length ? x.length : y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1197
  for (c=0,i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1198
    c+=x[i]-y[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1199
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1200
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1201
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1202
  for (i=k;c && i<x.length;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1203
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1204
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1205
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1206
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1207
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1208
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1209
//do x=x+y for bigInts x and y.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1210
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1211
function add_(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1212
  var i,c,k,kk;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1213
  k=x.length<y.length ? x.length : y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1214
  for (c=0,i=0;i<k;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1215
    c+=x[i]+y[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1216
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1217
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1218
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1219
  for (i=k;c && i<x.length;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1220
    c+=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1221
    x[i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1222
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1223
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1224
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1225
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1226
//do x=x*y for bigInts x and y.  This is faster when y<x.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1227
function mult_(x,y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1228
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1229
  if (ss.length!=2*x.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1230
    ss=new Array(2*x.length);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1231
  copyInt_(ss,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1232
  for (i=0;i<y.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1233
    if (y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1234
      linCombShift_(ss,x,y[i],i);   //ss=1*ss+y[i]*(x<<(i*bpe))
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1235
  copy_(x,ss);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1236
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1237
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1238
//do x=x mod n for bigInts x and n.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1239
function mod_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1240
  if (s4.length!=x.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1241
    s4=dup(x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1242
  else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1243
    copy_(s4,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1244
  if (s5.length!=x.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1245
    s5=dup(x);  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1246
  divide_(s4,n,s5,x);  //x = remainder of s4 / n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1247
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1248
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1249
//do x=x*y mod n for bigInts x,y,n.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1250
//for greater speed, let y<x.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1251
function multMod_(x,y,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1252
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1253
  if (s0.length!=2*x.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1254
    s0=new Array(2*x.length);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1255
  copyInt_(s0,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1256
  for (i=0;i<y.length;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1257
    if (y[i])
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1258
      linCombShift_(s0,x,y[i],i);   //s0=1*s0+y[i]*(x<<(i*bpe))
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1259
  mod_(s0,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1260
  copy_(x,s0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1261
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1262
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1263
//do x=x*x mod n for bigInts x,n.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1264
function squareMod_(x,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1265
  var i,j,d,c,kx,kn,k;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1266
  for (kx=x.length; kx>0 && !x[kx-1]; kx--);  //ignore leading zeros in x
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1267
  k=kx>n.length ? 2*kx : 2*n.length; //k=# elements in the product, which is twice the elements in the larger of x and n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1268
  if (s0.length!=k) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1269
    s0=new Array(k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1270
  copyInt_(s0,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1271
  for (i=0;i<kx;i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1272
    c=s0[2*i]+x[i]*x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1273
    s0[2*i]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1274
    c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1275
    for (j=i+1;j<kx;j++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1276
      c=s0[i+j]+2*x[i]*x[j]+c;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1277
      s0[i+j]=(c & mask);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1278
      c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1279
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1280
    s0[i+kx]=c;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1281
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1282
  mod_(s0,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1283
  copy_(x,s0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1284
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1285
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1286
//return x with exactly k leading zero elements
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1287
function bigint_trim(x,k) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1288
  var i,y;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1289
  for (i=x.length; i>0 && !x[i-1]; i--);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1290
  y=new Array(i+k);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1291
  copy_(y,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1292
  return y;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1293
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1294
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1295
//do x=x**y mod n, where x,y,n are bigInts and ** is exponentiation.  0**0=1.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1296
//this is faster when n is odd.  x usually needs to have as many elements as n.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1297
function powMod_(x,y,n) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1298
  var k1,k2,kn,np;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1299
  if(s7.length!=n.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1300
    s7=dup(n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1301
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1302
  //for even modulus, use a simple square-and-multiply algorithm,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1303
  //rather than using the more complex Montgomery algorithm.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1304
  if ((n[0]&1)==0) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1305
    copy_(s7,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1306
    copyInt_(x,1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1307
    while(!equalsInt(y,0)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1308
      if (y[0]&1)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1309
        multMod_(x,s7,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1310
      divInt_(y,2);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1311
      squareMod_(s7,n); 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1312
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1313
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1314
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1315
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1316
  //calculate np from n for the Montgomery multiplications
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1317
  copyInt_(s7,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1318
  for (kn=n.length;kn>0 && !n[kn-1];kn--);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1319
  np=radix-inverseModInt(modInt(n,radix),radix);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1320
  s7[kn]=1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1321
  multMod_(x ,s7,n);   // x = x * 2**(kn*bp) mod n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1322
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1323
  if (s3.length!=x.length)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1324
    s3=dup(x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1325
  else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1326
    copy_(s3,x);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1327
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1328
  for (k1=y.length-1;k1>0 & !y[k1]; k1--);  //k1=first nonzero element of y
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1329
  if (y[k1]==0) {  //anything to the 0th power is 1
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1330
    copyInt_(x,1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1331
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1332
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1333
  for (k2=1<<(bpe-1);k2 && !(y[k1] & k2); k2>>=1);  //k2=position of first 1 bit in y[k1]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1334
  for (;;) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1335
    if (!(k2>>=1)) {  //look at next bit of y
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1336
      k1--;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1337
      if (k1<0) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1338
        mont_(x,one,n,np);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1339
        return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1340
      }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1341
      k2=1<<(bpe-1);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1342
    }    
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1343
    mont_(x,x,n,np);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1344
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1345
    if (k2 & y[k1]) //if next bit is a 1
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1346
      mont_(x,s3,n,np);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1347
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1348
}    
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1349
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1350
//do x=x*y*Ri mod n for bigInts x,y,n, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1351
//  where Ri = 2**(-kn*bpe) mod n, and kn is the 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1352
//  number of elements in the n array, not 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1353
//  counting leading zeros.  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1354
//x must be large enough to hold the answer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1355
//It's OK if x and y are the same variable.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1356
//must have:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1357
//  x,y < n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1358
//  n is odd
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1359
//  np = -(n^(-1)) mod radix
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1360
function mont_(x,y,n,np) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1361
  var i,j,c,ui,t;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1362
  var kn=n.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1363
  var ky=y.length;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1364
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1365
  if (sa.length!=kn)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1366
    sa=new Array(kn);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1367
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1368
  for (;kn>0 && n[kn-1]==0;kn--); //ignore leading zeros of n
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1369
  //this function sometimes gives wrong answers when the next line is uncommented
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1370
  //for (;ky>0 && y[ky-1]==0;ky--); //ignore leading zeros of y
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1371
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1372
  copyInt_(sa,0);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1373
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1374
  //the following loop consumes 95% of the runtime for randTruePrime_() and powMod_() for large keys
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1375
  for (i=0; i<kn; i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1376
    t=sa[0]+x[i]*y[0];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1377
    ui=((t & mask) * np) & mask;  //the inner "& mask" is needed on Macintosh MSIE, but not windows MSIE
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1378
    c=(t+ui*n[0]) >> bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1379
    t=x[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1380
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1381
    //do sa=(sa+x[i]*y+ui*n)/b   where b=2**bpe
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1382
    for (j=1;j<ky;j++) { 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1383
      c+=sa[j]+t*y[j]+ui*n[j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1384
      sa[j-1]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1385
      c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1386
    }    
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1387
    for (;j<kn;j++) { 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1388
      c+=sa[j]+ui*n[j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1389
      sa[j-1]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1390
      c>>=bpe;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1391
    }    
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1392
    sa[j-1]=c & mask;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1393
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1394
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1395
  if (!greater(n,sa))
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1396
    sub_(sa,n);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1397
  copy_(x,sa);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1398
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1399
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1400
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1401
/* rijndael.js      Rijndael Reference Implementation
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1402
   Copyright (c) 2001 Fritz Schneider
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1403
 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1404
 This software is provided as-is, without express or implied warranty.  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1405
 Permission to use, copy, modify, distribute or sell this software, with or
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1406
 without fee, for any purpose and by any individual or organization, is hereby
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1407
 granted, provided that the above copyright notice and this paragraph appear 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1408
 in all copies. Distribution as a part of an application or binary must
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1409
 include the above copyright notice in the documentation and/or other materials
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1410
 provided with the application or distribution.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1411
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1412
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1413
   As the above disclaimer notes, you are free to use this code however you
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1414
   want. However, I would request that you send me an email 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1415
   (fritz /at/ cs /dot/ ucsd /dot/ edu) to say hi if you find this code useful
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1416
   or instructional. Seeing that people are using the code acts as 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1417
   encouragement for me to continue development. If you *really* want to thank
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1418
   me you can buy the book I wrote with Thomas Powell, _JavaScript:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1419
   _The_Complete_Reference_ :)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1420
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1421
   This code is an UNOPTIMIZED REFERENCE implementation of Rijndael. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1422
   If there is sufficient interest I can write an optimized (word-based, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1423
   table-driven) version, although you might want to consider using a 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1424
   compiled language if speed is critical to your application. As it stands,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1425
   one run of the monte carlo test (10,000 encryptions) can take up to 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1426
   several minutes, depending upon your processor. You shouldn't expect more
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1427
   than a few kilobytes per second in throughput.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1428
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1429
   Also note that there is very little error checking in these functions. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1430
   Doing proper error checking is always a good idea, but the ideal 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1431
   implementation (using the instanceof operator and exceptions) requires
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1432
   IE5+/NS6+, and I've chosen to implement this code so that it is compatible
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1433
   with IE4/NS4. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1434
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1435
   And finally, because JavaScript doesn't have an explicit byte/char data 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1436
   type (although JavaScript 2.0 most likely will), when I refer to "byte" 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1437
   in this code I generally mean "32 bit integer with value in the interval 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1438
   [0,255]" which I treat as a byte.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1439
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1440
   See http://www-cse.ucsd.edu/~fritz/rijndael.html for more documentation
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1441
   of the (very simple) API provided by this code.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1442
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1443
                                               Fritz Schneider
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1444
                                               fritz at cs.ucsd.edu
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1445
 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1446
*/
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1447
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1448
// Rijndael parameters --  Valid values are 128, 192, or 256
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1449
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1450
var keySizeInBits =   ( typeof AES_BITS == 'number' ) ? AES_BITS : 128;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1451
var blockSizeInBits = ( typeof AES_BLOCKSIZE == 'number' ) ? AES_BLOCKSIZE : 128;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1452
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1453
///////  You shouldn't have to modify anything below this line except for
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1454
///////  the function getRandomBytes().
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1455
//
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1456
// Note: in the following code the two dimensional arrays are indexed as
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1457
//       you would probably expect, as array[row][column]. The state arrays
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1458
//       are 2d arrays of the form state[4][Nb].
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1459
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1460
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1461
// The number of rounds for the cipher, indexed by [Nk][Nb]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1462
var roundsArray = [ ,,,,[,,,,10,, 12,, 14],, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1463
                        [,,,,12,, 12,, 14],, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1464
                        [,,,,14,, 14,, 14] ];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1465
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1466
// The number of bytes to shift by in shiftRow, indexed by [Nb][row]
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1467
var shiftOffsets = [ ,,,,[,1, 2, 3],,[,1, 2, 3],,[,1, 3, 4] ];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1468
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1469
// The round constants used in subkey expansion
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1470
var Rcon = [ 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1471
0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1472
0x40, 0x80, 0x1b, 0x36, 0x6c, 0xd8, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1473
0xab, 0x4d, 0x9a, 0x2f, 0x5e, 0xbc, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1474
0x63, 0xc6, 0x97, 0x35, 0x6a, 0xd4, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1475
0xb3, 0x7d, 0xfa, 0xef, 0xc5, 0x91 ];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1476
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1477
// Precomputed lookup table for the SBox
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1478
var SBox = [
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1479
 99, 124, 119, 123, 242, 107, 111, 197,  48,   1, 103,  43, 254, 215, 171, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1480
118, 202, 130, 201, 125, 250,  89,  71, 240, 173, 212, 162, 175, 156, 164, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1481
114, 192, 183, 253, 147,  38,  54,  63, 247, 204,  52, 165, 229, 241, 113, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1482
216,  49,  21,   4, 199,  35, 195,  24, 150,   5, 154,   7,  18, 128, 226, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1483
235,  39, 178, 117,   9, 131,  44,  26,  27, 110,  90, 160,  82,  59, 214, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1484
179,  41, 227,  47, 132,  83, 209,   0, 237,  32, 252, 177,  91, 106, 203, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1485
190,  57,  74,  76,  88, 207, 208, 239, 170, 251,  67,  77,  51, 133,  69, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1486
249,   2, 127,  80,  60, 159, 168,  81, 163,  64, 143, 146, 157,  56, 245, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1487
188, 182, 218,  33,  16, 255, 243, 210, 205,  12,  19, 236,  95, 151,  68,  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1488
23,  196, 167, 126,  61, 100,  93,  25, 115,  96, 129,  79, 220,  34,  42, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1489
144, 136,  70, 238, 184,  20, 222,  94,  11, 219, 224,  50,  58,  10,  73,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1490
  6,  36,  92, 194, 211, 172,  98, 145, 149, 228, 121, 231, 200,  55, 109, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1491
141, 213,  78, 169, 108,  86, 244, 234, 101, 122, 174,   8, 186, 120,  37,  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1492
 46,  28, 166, 180, 198, 232, 221, 116,  31,  75, 189, 139, 138, 112,  62, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1493
181, 102,  72,   3, 246,  14,  97,  53,  87, 185, 134, 193,  29, 158, 225,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1494
248, 152,  17, 105, 217, 142, 148, 155,  30, 135, 233, 206,  85,  40, 223,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1495
140, 161, 137,  13, 191, 230,  66, 104,  65, 153,  45,  15, 176,  84, 187,  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1496
 22 ];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1497
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1498
// Precomputed lookup table for the inverse SBox
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1499
var SBoxInverse = [
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1500
 82,   9, 106, 213,  48,  54, 165,  56, 191,  64, 163, 158, 129, 243, 215, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1501
251, 124, 227,  57, 130, 155,  47, 255, 135,  52, 142,  67,  68, 196, 222, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1502
233, 203,  84, 123, 148,  50, 166, 194,  35,  61, 238,  76, 149,  11,  66, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1503
250, 195,  78,   8,  46, 161, 102,  40, 217,  36, 178, 118,  91, 162,  73, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1504
109, 139, 209,  37, 114, 248, 246, 100, 134, 104, 152,  22, 212, 164,  92, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1505
204,  93, 101, 182, 146, 108, 112,  72,  80, 253, 237, 185, 218,  94,  21,  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1506
 70,  87, 167, 141, 157, 132, 144, 216, 171,   0, 140, 188, 211,  10, 247, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1507
228,  88,   5, 184, 179,  69,   6, 208,  44,  30, 143, 202,  63,  15,   2, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1508
193, 175, 189,   3,   1,  19, 138, 107,  58, 145,  17,  65,  79, 103, 220, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1509
234, 151, 242, 207, 206, 240, 180, 230, 115, 150, 172, 116,  34, 231, 173,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1510
 53, 133, 226, 249,  55, 232,  28, 117, 223, 110,  71, 241,  26, 113,  29, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1511
 41, 197, 137, 111, 183,  98,  14, 170,  24, 190,  27, 252,  86,  62,  75, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1512
198, 210, 121,  32, 154, 219, 192, 254, 120, 205,  90, 244,  31, 221, 168,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1513
 51, 136,   7, 199,  49, 177,  18,  16,  89,  39, 128, 236,  95,  96,  81,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1514
127, 169,  25, 181,  74,  13,  45, 229, 122, 159, 147, 201, 156, 239, 160,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1515
224,  59,  77, 174,  42, 245, 176, 200, 235, 187,  60, 131,  83, 153,  97, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1516
 23,  43,   4, 126, 186, 119, 214,  38, 225, 105,  20,  99,  85,  33,  12,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1517
125 ];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1518
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1519
function str_split(string, chunklen)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1520
{
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1521
  if(!chunklen) chunklen = 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1522
  ret = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1523
  for ( i = 0; i < string.length; i+=chunklen )
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1524
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1525
    ret[ret.length] = string.slice(i, i+chunklen);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1526
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1527
  return ret;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1528
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1529
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1530
// This method circularly shifts the array left by the number of elements
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1531
// given in its parameter. It returns the resulting array and is used for 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1532
// the ShiftRow step. Note that shift() and push() could be used for a more 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1533
// elegant solution, but they require IE5.5+, so I chose to do it manually. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1534
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1535
function cyclicShiftLeft(theArray, positions) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1536
  var temp = theArray.slice(0, positions);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1537
  theArray = theArray.slice(positions).concat(temp);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1538
  return theArray;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1539
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1540
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1541
// Cipher parameters ... do not change these
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1542
var Nk = keySizeInBits / 32;                   
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1543
var Nb = blockSizeInBits / 32;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1544
var Nr = roundsArray[Nk][Nb];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1545
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1546
// Multiplies the element "poly" of GF(2^8) by x. See the Rijndael spec.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1547
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1548
function xtime(poly) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1549
  poly <<= 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1550
  return ((poly & 0x100) ? (poly ^ 0x11B) : (poly));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1551
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1552
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1553
// Multiplies the two elements of GF(2^8) together and returns the result.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1554
// See the Rijndael spec, but should be straightforward: for each power of
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1555
// the indeterminant that has a 1 coefficient in x, add y times that power
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1556
// to the result. x and y should be bytes representing elements of GF(2^8)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1557
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1558
function mult_GF256(x, y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1559
  var bit, result = 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1560
  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1561
  for (bit = 1; bit < 256; bit *= 2, y = xtime(y)) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1562
    if (x & bit) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1563
      result ^= y;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1564
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1565
  return result;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1566
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1567
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1568
// Performs the substitution step of the cipher. State is the 2d array of
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1569
// state information (see spec) and direction is string indicating whether
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1570
// we are performing the forward substitution ("encrypt") or inverse 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1571
// substitution (anything else)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1572
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1573
function byteSub(state, direction) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1574
  var S;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1575
  if (direction == "encrypt")           // Point S to the SBox we're using
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1576
    S = SBox;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1577
  else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1578
    S = SBoxInverse;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1579
  for (var i = 0; i < 4; i++)           // Substitute for every byte in state
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1580
    for (var j = 0; j < Nb; j++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1581
       state[i][j] = S[state[i][j]];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1582
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1583
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1584
// Performs the row shifting step of the cipher.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1585
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1586
function shiftRow(state, direction) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1587
  for (var i=1; i<4; i++)               // Row 0 never shifts
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1588
    if (direction == "encrypt")
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1589
       state[i] = cyclicShiftLeft(state[i], shiftOffsets[Nb][i]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1590
    else
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1591
       state[i] = cyclicShiftLeft(state[i], Nb - shiftOffsets[Nb][i]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1592
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1593
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1594
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1595
// Performs the column mixing step of the cipher. Most of these steps can
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1596
// be combined into table lookups on 32bit values (at least for encryption)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1597
// to greatly increase the speed. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1598
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1599
function mixColumn(state, direction) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1600
  var b = [];                            // Result of matrix multiplications
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1601
  for (var j = 0; j < Nb; j++) {         // Go through each column...
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1602
    for (var i = 0; i < 4; i++) {        // and for each row in the column...
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1603
      if (direction == "encrypt")
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1604
        b[i] = mult_GF256(state[i][j], 2) ^          // perform mixing
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1605
               mult_GF256(state[(i+1)%4][j], 3) ^ 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1606
               state[(i+2)%4][j] ^ 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1607
               state[(i+3)%4][j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1608
      else 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1609
        b[i] = mult_GF256(state[i][j], 0xE) ^ 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1610
               mult_GF256(state[(i+1)%4][j], 0xB) ^
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1611
               mult_GF256(state[(i+2)%4][j], 0xD) ^
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1612
               mult_GF256(state[(i+3)%4][j], 9);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1613
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1614
    for (var i = 0; i < 4; i++)          // Place result back into column
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1615
      state[i][j] = b[i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1616
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1617
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1618
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1619
// Adds the current round key to the state information. Straightforward.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1620
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1621
function addRoundKey(state, roundKey) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1622
  for (var j = 0; j < Nb; j++) {                 // Step through columns...
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1623
    state[0][j] ^= (roundKey[j] & 0xFF);         // and XOR
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1624
    state[1][j] ^= ((roundKey[j]>>8) & 0xFF);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1625
    state[2][j] ^= ((roundKey[j]>>16) & 0xFF);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1626
    state[3][j] ^= ((roundKey[j]>>24) & 0xFF);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1627
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1628
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1629
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1630
// This function creates the expanded key from the input (128/192/256-bit)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1631
// key. The parameter key is an array of bytes holding the value of the key.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1632
// The returned value is an array whose elements are the 32-bit words that 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1633
// make up the expanded key.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1634
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1635
function keyExpansion(key) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1636
  var expandedKey = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1637
  var temp;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1638
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1639
  // in case the key size or parameters were changed...
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1640
  Nk = keySizeInBits / 32;                   
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1641
  Nb = blockSizeInBits / 32;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1642
  Nr = roundsArray[Nk][Nb];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1643
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1644
  for (var j=0; j < Nk; j++)     // Fill in input key first
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1645
    expandedKey[j] = 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1646
      (key[4*j]) | (key[4*j+1]<<8) | (key[4*j+2]<<16) | (key[4*j+3]<<24);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1647
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1648
  // Now walk down the rest of the array filling in expanded key bytes as
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1649
  // per Rijndael's spec
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1650
  for (j = Nk; j < Nb * (Nr + 1); j++) {    // For each word of expanded key
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1651
    temp = expandedKey[j - 1];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1652
    if (j % Nk == 0) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1653
      temp = ( (SBox[(temp>>8) & 0xFF]) |
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1654
               (SBox[(temp>>16) & 0xFF]<<8) |
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1655
               (SBox[(temp>>24) & 0xFF]<<16) |
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1656
               (SBox[temp & 0xFF]<<24) ) ^ Rcon[Math.floor(j / Nk) - 1];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1657
    else if (Nk > 6 && j % Nk == 4)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1658
      temp = (SBox[(temp>>24) & 0xFF]<<24) |
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1659
             (SBox[(temp>>16) & 0xFF]<<16) |
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1660
             (SBox[(temp>>8) & 0xFF]<<8) |
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1661
             (SBox[temp & 0xFF]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1662
    expandedKey[j] = expandedKey[j-Nk] ^ temp;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1663
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1664
  return expandedKey;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1665
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1666
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1667
// Rijndael's round functions... 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1668
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1669
function Round(state, roundKey) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1670
  byteSub(state, "encrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1671
  shiftRow(state, "encrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1672
  mixColumn(state, "encrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1673
  addRoundKey(state, roundKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1674
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1675
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1676
function InverseRound(state, roundKey) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1677
  addRoundKey(state, roundKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1678
  mixColumn(state, "decrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1679
  shiftRow(state, "decrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1680
  byteSub(state, "decrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1681
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1682
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1683
function FinalRound(state, roundKey) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1684
  byteSub(state, "encrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1685
  shiftRow(state, "encrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1686
  addRoundKey(state, roundKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1687
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1688
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1689
function InverseFinalRound(state, roundKey){
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1690
  addRoundKey(state, roundKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1691
  shiftRow(state, "decrypt");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1692
  byteSub(state, "decrypt");  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1693
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1694
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1695
// encrypt is the basic encryption function. It takes parameters
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1696
// block, an array of bytes representing a plaintext block, and expandedKey,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1697
// an array of words representing the expanded key previously returned by
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1698
// keyExpansion(). The ciphertext block is returned as an array of bytes.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1699
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1700
function encrypt(block, expandedKey) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1701
  var i;  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1702
  if (!block || block.length*8 != blockSizeInBits)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1703
     return; 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1704
  if (!expandedKey)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1705
     return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1706
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1707
  block = packBytes(block);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1708
  addRoundKey(block, expandedKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1709
  for (i=1; i<Nr; i++) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1710
    Round(block, expandedKey.slice(Nb*i, Nb*(i+1)));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1711
  FinalRound(block, expandedKey.slice(Nb*Nr)); 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1712
  return unpackBytes(block);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1713
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1714
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1715
// decrypt is the basic decryption function. It takes parameters
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1716
// block, an array of bytes representing a ciphertext block, and expandedKey,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1717
// an array of words representing the expanded key previously returned by
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1718
// keyExpansion(). The decrypted block is returned as an array of bytes.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1719
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1720
function decrypt(block, expandedKey) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1721
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1722
  if (!block || block.length*8 != blockSizeInBits)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1723
     return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1724
  if (!expandedKey)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1725
     return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1726
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1727
  block = packBytes(block);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1728
  InverseFinalRound(block, expandedKey.slice(Nb*Nr)); 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1729
  for (i = Nr - 1; i>0; i--) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1730
    InverseRound(block, expandedKey.slice(Nb*i, Nb*(i+1)));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1731
  addRoundKey(block, expandedKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1732
  return unpackBytes(block);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1733
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1734
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1735
// This function packs an array of bytes into the four row form defined by
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1736
// Rijndael. It assumes the length of the array of bytes is divisible by
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1737
// four. Bytes are filled in according to the Rijndael spec (starting with
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1738
// column 0, row 0 to 3). This function returns a 2d array.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1739
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1740
function packBytes(octets) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1741
  var state = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1742
  if (!octets || octets.length % 4)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1743
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1744
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1745
  state[0] = new Array();  state[1] = new Array(); 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1746
  state[2] = new Array();  state[3] = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1747
  for (var j=0; j<octets.length; j+= 4) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1748
     state[0][j/4] = octets[j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1749
     state[1][j/4] = octets[j+1];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1750
     state[2][j/4] = octets[j+2];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1751
     state[3][j/4] = octets[j+3];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1752
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1753
  return state;  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1754
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1755
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1756
// This function unpacks an array of bytes from the four row format preferred
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1757
// by Rijndael into a single 1d array of bytes. It assumes the input "packed"
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1758
// is a packed array. Bytes are filled in according to the Rijndael spec. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1759
// This function returns a 1d array of bytes.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1760
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1761
function unpackBytes(packed) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1762
  var result = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1763
  for (var j=0; j<packed[0].length; j++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1764
    result[result.length] = packed[0][j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1765
    result[result.length] = packed[1][j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1766
    result[result.length] = packed[2][j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1767
    result[result.length] = packed[3][j];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1768
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1769
  return result;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1770
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1771
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1772
// This function takes a prospective plaintext (string or array of bytes)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1773
// and pads it with zero bytes if its length is not a multiple of the block 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1774
// size. If plaintext is a string, it is converted to an array of bytes
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1775
// in the process. The type checking can be made much nicer using the 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1776
// instanceof operator, but this operator is not available until IE5.0 so I 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1777
// chose to use the heuristic below. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1778
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1779
function formatPlaintext(plaintext) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1780
  var bpb = blockSizeInBits / 8;               // bytes per block
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1781
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1782
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1783
  // if primitive string or String instance
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1784
  if (typeof plaintext == "string" || plaintext.split) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1785
    // alert('AUUGH you idiot it\'s NOT A STRING ITS A '+typeof(plaintext)+'!!!');
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1786
    // return false;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1787
    plaintext = plaintext.split("");
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1788
    // Unicode issues here (ignoring high byte)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1789
    for (i=0; i<plaintext.length; i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1790
      plaintext[i] = plaintext[i].charCodeAt(0) & 0xFF;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1791
  } 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1792
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1793
  for (i = bpb - (plaintext.length % bpb); i > 0 && i < bpb; i--) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1794
    plaintext[plaintext.length] = 0;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1795
  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1796
  return plaintext;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1797
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1798
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1799
// Returns an array containing "howMany" random bytes. YOU SHOULD CHANGE THIS
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1800
// TO RETURN HIGHER QUALITY RANDOM BYTES IF YOU ARE USING THIS FOR A "REAL"
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1801
// APPLICATION.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1802
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1803
function getRandomBytes(howMany) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1804
  var i;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1805
  var bytes = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1806
  for (i=0; i<howMany; i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1807
    bytes[i] = Math.round(Math.random()*255);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1808
  return bytes;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1809
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1810
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1811
// rijndaelEncrypt(plaintext, key, mode)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1812
// Encrypts the plaintext using the given key and in the given mode. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1813
// The parameter "plaintext" can either be a string or an array of bytes. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1814
// The parameter "key" must be an array of key bytes. If you have a hex 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1815
// string representing the key, invoke hexToByteArray() on it to convert it 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1816
// to an array of bytes. The third parameter "mode" is a string indicating
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1817
// the encryption mode to use, either "ECB" or "CBC". If the parameter is
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1818
// omitted, ECB is assumed.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1819
// 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1820
// An array of bytes representing the cihpertext is returned. To convert 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1821
// this array to hex, invoke byteArrayToHex() on it. If you are using this 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1822
// "for real" it is a good idea to change the function getRandomBytes() to 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1823
// something that returns truly random bits.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1824
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1825
function rijndaelEncrypt(plaintext, key, mode) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1826
  var expandedKey, i, aBlock;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1827
  var bpb = blockSizeInBits / 8;          // bytes per block
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1828
  var ct;                                 // ciphertext
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1829
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1830
  if (typeof plaintext != 'object' || typeof key != 'object')
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1831
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1832
    alert( 'Invalid params\nplaintext: '+typeof(plaintext)+'\nkey: '+typeof(key) );
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1833
    return false;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1834
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1835
  if (key.length*8 == keySizeInBits+8)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1836
    key.length = keySizeInBits / 8;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1837
  if (key.length*8 != keySizeInBits)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1838
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1839
    alert( 'Key length is bad!\nLength: '+key.length+'\nExpected: '+keySizeInBits / 8 );
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1840
    return false;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1841
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1842
  if (mode == "CBC")
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1843
    ct = getRandomBytes(bpb);             // get IV
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1844
  else {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1845
    mode = "ECB";
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1846
    ct = new Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1847
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1848
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1849
  // convert plaintext to byte array and pad with zeros if necessary. 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1850
  plaintext = formatPlaintext(plaintext);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1851
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1852
  expandedKey = keyExpansion(key);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1853
  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1854
  for (var block=0; block<plaintext.length / bpb; block++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1855
    aBlock = plaintext.slice(block*bpb, (block+1)*bpb);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1856
    if (mode == "CBC")
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1857
      for (var i=0; i<bpb; i++) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1858
        aBlock[i] ^= ct[block*bpb + i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1859
    ct = ct.concat(encrypt(aBlock, expandedKey));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1860
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1861
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1862
  return ct;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1863
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1864
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1865
// rijndaelDecrypt(ciphertext, key, mode)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1866
// Decrypts the using the given key and mode. The parameter "ciphertext" 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1867
// must be an array of bytes. The parameter "key" must be an array of key 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1868
// bytes. If you have a hex string representing the ciphertext or key, 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1869
// invoke hexToByteArray() on it to convert it to an array of bytes. The
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1870
// parameter "mode" is a string, either "CBC" or "ECB".
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1871
// 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1872
// An array of bytes representing the plaintext is returned. To convert 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1873
// this array to a hex string, invoke byteArrayToHex() on it. To convert it 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1874
// to a string of characters, you can use byteArrayToString().
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1875
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1876
function rijndaelDecrypt(ciphertext, key, mode) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1877
  var expandedKey;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1878
  var bpb = blockSizeInBits / 8;          // bytes per block
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1879
  var pt = new Array();                   // plaintext array
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1880
  var aBlock;                             // a decrypted block
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1881
  var block;                              // current block number
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1882
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1883
  if (!ciphertext || !key || typeof ciphertext == "string")
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1884
    return;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1885
  if (key.length*8 != keySizeInBits)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1886
    return; 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1887
  if (!mode)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1888
    mode = "ECB";                         // assume ECB if mode omitted
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1889
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1890
  expandedKey = keyExpansion(key);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1891
 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1892
  // work backwards to accomodate CBC mode 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1893
  for (block=(ciphertext.length / bpb)-1; block>0; block--) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1894
    aBlock = 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1895
     decrypt(ciphertext.slice(block*bpb,(block+1)*bpb), expandedKey);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1896
    if (mode == "CBC") 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1897
      for (var i=0; i<bpb; i++) 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1898
        pt[(block-1)*bpb + i] = aBlock[i] ^ ciphertext[(block-1)*bpb + i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1899
    else 
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1900
      pt = aBlock.concat(pt);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1901
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1902
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1903
  // do last block if ECB (skips the IV in CBC)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1904
  if (mode == "ECB")
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1905
    pt = decrypt(ciphertext.slice(0, bpb), expandedKey).concat(pt);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1906
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1907
  return pt;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1908
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1909
830
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1910
// This method takes a byte array (byteArray) and converts it to a string by
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1911
// applying String.fromCharCode() to each value and concatenating the result.
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1912
// The resulting string is returned. Note that this function SKIPS zero bytes
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1913
// under the assumption that they are padding added in formatPlaintext().
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1914
// Obviously, do not invoke this method on raw data that can contain zero
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1915
// bytes. It is really only appropriate for printable ASCII/Latin-1 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1916
// values. Roll your own function for more robust functionality :)
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1917
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1918
function byteArrayToString(byteArray) {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1919
  var result = "";
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1920
  for ( var i=0; i < byteArray.length; i++ )
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1921
    if (byteArray[i] != 0) 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1922
      result += '%' + byteArray[i].toString(16);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1923
  return decodeURIComponent(result);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1924
}
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1925
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1926
// This function takes an array of bytes (byteArray) and converts them
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1927
// to a hexadecimal string. Array element 0 is found at the beginning of 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1928
// the resulting string, high nibble first. Consecutive elements follow
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1929
// similarly, for example [16, 255] --> "10ff". The function returns a 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1930
// string.
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1931
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1932
function byteArrayToHex(byteArray) {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1933
  var result = "";
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1934
  if (!byteArray)
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1935
    return;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1936
  for (var i=0; i<byteArray.length; i++)
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1937
    result += ((byteArray[i]<16) ? "0" : "") + byteArray[i].toString(16);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1938
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1939
  return result;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1940
}
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1941
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1942
// This function converts a string containing hexadecimal digits to an 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1943
// array of bytes. The resulting byte array is filled in the order the
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1944
// values occur in the string, for example "10FF" --> [16, 255]. This
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1945
// function returns an array. 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1946
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1947
function hexToByteArray(hexString) {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1948
  /*
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1949
  var byteArray = [];
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1950
  if (hexString.length % 2)             // must have even length
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1951
    return;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1952
  if (hexString.indexOf("0x") == 0 || hexString.indexOf("0X") == 0)
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1953
    hexString = hexString.substring(2);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1954
  for (var i = 0; i<hexString.length; i += 2) 
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1955
    byteArray[Math.floor(i/2)] = parseInt(hexString.slice(i, i+2), 16);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1956
  return byteArray;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1957
  */
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1958
  var bytes = new Array();
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1959
  hexString = str_split(hexString, 2);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1960
  //alert(hexString.toString());
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1961
  //return false;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1962
  for( var i in hexString )
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1963
  {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1964
    bytes[bytes.length] = parseInt(hexString[i], 16);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1965
  }
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1966
  //alert(bytes.toString());
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1967
  return bytes;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1968
}
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1969
582
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1970
function stringToByteArray(text)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1971
{
830
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1972
  // Modified for Enano 2009-02-16 to be Unicode-safe
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1973
  var result = new Array();
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1974
  text = encodeURIComponent(text);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1975
  for ( var i = 0; i < text.length; i++ )
582
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1976
  {
830
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1977
    var ch = text.charCodeAt(i);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1978
    var a = false;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1979
    if ( ch == 37 ) // "%"
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1980
    {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1981
      var hexch = text.substr(i, 3);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1982
      if ( hexch.match(/^%[a-f0-9][a-f0-9]$/i) )
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1983
      {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1984
        result[result.length] = (unescape(hexch)).charCodeAt(0);
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1985
        a = true;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1986
        i += 2;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1987
      }
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1988
    }
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1989
    if ( !a )
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1990
    {
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1991
      result[result.length] = ch;
79fb483807f6 Added Unicode support for usernames and passwords (this is probably best considered a JS crypto bug)
Dan
parents: 712
diff changeset
  1992
    }
582
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1993
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1994
  return result;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1995
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1996
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1997
function aes_self_test()
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1998
{
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  1999
  //
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2000
  // Encryption test
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2001
  //
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2002
  
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2003
  var str = '';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2004
  for(i=0;i<keySizeInBits/4;i++)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2005
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2006
    str+='0';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2007
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2008
  str = hexToByteArray(str);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2009
  var ct  = rijndaelEncrypt(str, str, 'ECB');
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2010
  ct      = byteArrayToHex(ct);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2011
  var v;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2012
  switch(keySizeInBits)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2013
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2014
    // These test vectors are for 128-bit block size.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2015
    case 128:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2016
      v = '66e94bd4ef8a2c3b884cfa59ca342b2e';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2017
      break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2018
    case 192:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2019
      v = 'aae06992acbf52a3e8f4a96ec9300bd7aae06992acbf52a3e8f4a96ec9300bd7';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2020
      break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2021
    case 256:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2022
      v = 'dc95c078a2408989ad48a21492842087dc95c078a2408989ad48a21492842087';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2023
      break;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2024
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2025
  return ( ct == v && md5_vm_test() );
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2026
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2027
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2028
/*
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2029
 * EnanoMath, an abstraction layer for big-integer (arbitrary precision)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2030
 * mathematics.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2031
 */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2032
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2033
var EnanoMathLayers = {};
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2034
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2035
// EnanoMath layer: Leemon (frontend to BigInt library by Leemon Baird)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2036
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2037
EnanoMathLayers.Leemon = {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2038
  Base: 10,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2039
  PowMod: function(a, b, c)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2040
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2041
    a = str2bigInt(a, this.Base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2042
    b = str2bigInt(b, this.Base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2043
    c = str2bigInt(c, this.Base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2044
    var result = powMod(a, b, c);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2045
    result = bigInt2str(result, this.Base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2046
    return result;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2047
  },
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2048
  RandomInt: function(bits)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2049
  {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2050
    var result = randBigInt(bits);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2051
    return bigInt2str(result, this.Base);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2052
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2053
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2054
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2055
var EnanoMath = EnanoMathLayers.Leemon;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2056
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2057
/*
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2058
 * The Diffie-Hellman key exchange protocol.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2059
 */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2060
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2061
// Our prime number as a base for operations.
712
331e009416d5 SECURITY: Changed Diffie-Hellman parameters to prime and generator created through OpenSSL
Dan
parents: 582
diff changeset
  2062
var dh_prime = '7916586051748534588306961133067968196965257961415756656521818848750723547477673457670019632882524164647651492025728980571833579341743988603191694784406703';
582
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2063
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2064
// g, a primitive root used as an exponent
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2065
// (2 and 5 are acceptable, but BigInt is faster with odd numbers)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2066
var dh_g = '5';
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2067
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2068
/**
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2069
 * Generates a Diffie-Hellman private key
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2070
 * @return string(BigInt)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2071
 */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2072
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2073
function dh_gen_private()
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2074
{
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2075
  return EnanoMath.RandomInt(256);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2076
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2077
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2078
/**
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2079
 * Calculates the public key from the private key
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2080
 * @param string(BigInt)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2081
 * @return string(BigInt)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2082
 */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2083
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2084
function dh_gen_public(b)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2085
{
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2086
  return EnanoMath.PowMod(dh_g, b, dh_prime);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2087
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2088
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2089
/**
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2090
 * Calculates the shared secret.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2091
 * @param string(BigInt) Our private key
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2092
 * @param string(BigInt) Remote party's public key
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2093
 * @return string(BigInt)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2094
 */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2095
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2096
function dh_gen_shared_secret(b, A)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2097
{
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2098
  return EnanoMath.PowMod(A, b, dh_prime);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2099
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2100
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2101
/* A JavaScript implementation of the Secure Hash Algorithm, SHA-256
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2102
 * Version 0.3 Copyright Angel Marin 2003-2004 - http://anmar.eu.org/
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2103
 * Distributed under the BSD License
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2104
 * Some bits taken from Paul Johnston's SHA-1 implementation
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2105
 */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2106
/*
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2107
Copyright (c) 2003-2004, Angel Marin
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2108
All rights reserved.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2109
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2110
Redistribution and use in source and binary forms, with or without modification,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2111
are permitted provided that the following conditions are met:
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2112
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2113
 * Redistributions of source code must retain the above copyright notice, this
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2114
   list of conditions and the following disclaimer.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2115
 * Redistributions in binary form must reproduce the above copyright notice,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2116
   this list of conditions and the following disclaimer in the documentation
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2117
   and/or other materials provided with the distribution.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2118
 * Neither the name of the <ORGANIZATION> nor the names of its contributors may
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2119
   be used to endorse or promote products derived from this software without
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2120
   specific prior written permission.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2121
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2122
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2123
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2124
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2125
IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2126
INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2127
BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2128
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2129
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2130
OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2131
OF THE POSSIBILITY OF SUCH DAMAGE.
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2132
*/
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2133
var chrsz = 8;  /* bits per input character. 8 - ASCII; 16 - Unicode  */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2134
function safe_add (x, y) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2135
  var lsw = (x & 0xFFFF) + (y & 0xFFFF);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2136
  var msw = (x >> 16) + (y >> 16) + (lsw >> 16);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2137
  return (msw << 16) | (lsw & 0xFFFF);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2138
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2139
function S (X, n) {return ( X >>> n ) | (X << (32 - n));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2140
function R (X, n) {return ( X >>> n );}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2141
function Ch(x, y, z) {return ((x & y) ^ ((~x) & z));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2142
function Maj(x, y, z) {return ((x & y) ^ (x & z) ^ (y & z));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2143
function Sigma0256(x) {return (S(x, 2) ^ S(x, 13) ^ S(x, 22));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2144
function Sigma1256(x) {return (S(x, 6) ^ S(x, 11) ^ S(x, 25));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2145
function Gamma0256(x) {return (S(x, 7) ^ S(x, 18) ^ R(x, 3));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2146
function Gamma1256(x) {return (S(x, 17) ^ S(x, 19) ^ R(x, 10));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2147
function core_sha256 (m, l) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2148
    var K = new Array(0x428A2F98,0x71374491,0xB5C0FBCF,0xE9B5DBA5,0x3956C25B,0x59F111F1,0x923F82A4,0xAB1C5ED5,0xD807AA98,0x12835B01,0x243185BE,0x550C7DC3,0x72BE5D74,0x80DEB1FE,0x9BDC06A7,0xC19BF174,0xE49B69C1,0xEFBE4786,0xFC19DC6,0x240CA1CC,0x2DE92C6F,0x4A7484AA,0x5CB0A9DC,0x76F988DA,0x983E5152,0xA831C66D,0xB00327C8,0xBF597FC7,0xC6E00BF3,0xD5A79147,0x6CA6351,0x14292967,0x27B70A85,0x2E1B2138,0x4D2C6DFC,0x53380D13,0x650A7354,0x766A0ABB,0x81C2C92E,0x92722C85,0xA2BFE8A1,0xA81A664B,0xC24B8B70,0xC76C51A3,0xD192E819,0xD6990624,0xF40E3585,0x106AA070,0x19A4C116,0x1E376C08,0x2748774C,0x34B0BCB5,0x391C0CB3,0x4ED8AA4A,0x5B9CCA4F,0x682E6FF3,0x748F82EE,0x78A5636F,0x84C87814,0x8CC70208,0x90BEFFFA,0xA4506CEB,0xBEF9A3F7,0xC67178F2);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2149
    var HASH = new Array(0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A, 0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2150
    var W = new Array(64);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2151
    var a, b, c, d, e, f, g, h, i, j;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2152
    var T1, T2;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2153
    /* append padding */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2154
    m[l >> 5] |= 0x80 << (24 - l % 32);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2155
    m[((l + 64 >> 9) << 4) + 15] = l;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2156
    for ( var i = 0; i<m.length; i+=16 ) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2157
        a = HASH[0]; b = HASH[1]; c = HASH[2]; d = HASH[3]; e = HASH[4]; f = HASH[5]; g = HASH[6]; h = HASH[7];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2158
        for ( var j = 0; j<64; j++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2159
            if (j < 16) W[j] = m[j + i];
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2160
            else W[j] = safe_add(safe_add(safe_add(Gamma1256(W[j - 2]), W[j - 7]), Gamma0256(W[j - 15])), W[j - 16]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2161
            T1 = safe_add(safe_add(safe_add(safe_add(h, Sigma1256(e)), Ch(e, f, g)), K[j]), W[j]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2162
            T2 = safe_add(Sigma0256(a), Maj(a, b, c));
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2163
            h = g; g = f; f = e; e = safe_add(d, T1); d = c; c = b; b = a; a = safe_add(T1, T2);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2164
        }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2165
        HASH[0] = safe_add(a, HASH[0]); HASH[1] = safe_add(b, HASH[1]); HASH[2] = safe_add(c, HASH[2]); HASH[3] = safe_add(d, HASH[3]); HASH[4] = safe_add(e, HASH[4]); HASH[5] = safe_add(f, HASH[5]); HASH[6] = safe_add(g, HASH[6]); HASH[7] = safe_add(h, HASH[7]);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2166
    }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2167
    return HASH;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2168
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2169
function str2binb (str) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2170
  var bin = Array();
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2171
  var mask = (1 << chrsz) - 1;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2172
  for(var i = 0; i < str.length * chrsz; i += chrsz)
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2173
    bin[i>>5] |= (str.charCodeAt(i / chrsz) & mask) << (24 - i%32);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2174
  return bin;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2175
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2176
function binb2hex (binarray) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2177
  var hexcase = 0; /* hex output format. 0 - lowercase; 1 - uppercase */
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2178
  var hex_tab = hexcase ? "0123456789ABCDEF" : "0123456789abcdef";
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2179
  var str = "";
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2180
  for (var i = 0; i < binarray.length * 4; i++) {
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2181
    str += hex_tab.charAt((binarray[i>>2] >> ((3 - i%4)*8+4)) & 0xF) + hex_tab.charAt((binarray[i>>2] >> ((3 - i%4)*8  )) & 0xF);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2182
  }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2183
  return str;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2184
}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2185
function hex_sha256(s){return binb2hex(core_sha256(str2binb(s),s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2186
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2187
// Javascript implementation of the and SHA1 hash algorithms - both written by Paul Johnston, licensed under the BSD license
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2188
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2189
// MD5
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2190
var hexcase = 0; var b64pad  = ""; var chrsz   = 8;
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2191
function hex_md5(s){ return binl2hex(core_md5(str2binl(s), s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2192
function b64_md5(s){ return binl2b64(core_md5(str2binl(s), s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2193
function str_md5(s){ return binl2str(core_md5(str2binl(s), s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2194
function hex_hmac_md5(key, data) { return binl2hex(core_hmac_md5(key, data)); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2195
function b64_hmac_md5(key, data) { return binl2b64(core_hmac_md5(key, data)); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2196
function str_hmac_md5(key, data) { return binl2str(core_hmac_md5(key, data)); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2197
function md5_vm_test() { return hex_md5("abc") == "900150983cd24fb0d6963f7d28e17f72"; }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2198
function core_md5(x, len) { x[len >> 5] |= 0x80 << ((len) % 32); x[(((len + 64) >>> 9) << 4) + 14] = len; var a =  1732584193; var b = -271733879; var c = -1732584194; var d =  271733878; for(var i = 0; i < x.length; i += 16) { var olda = a; var oldb = b; var oldc = c; var oldd = d; a = md5_ff(a, b, c, d, x[i+ 0], 7 , -680876936);d = md5_ff(d, a, b, c, x[i+ 1], 12, -389564586);c = md5_ff(c, d, a, b, x[i+ 2], 17,  606105819);b = md5_ff(b, c, d, a, x[i+ 3], 22, -1044525330);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2199
         a = md5_ff(a, b, c, d, x[i+ 4], 7 , -176418897);d = md5_ff(d, a, b, c, x[i+ 5], 12,  1200080426);c = md5_ff(c, d, a, b, x[i+ 6], 17, -1473231341);b = md5_ff(b, c, d, a, x[i+ 7], 22, -45705983);a = md5_ff(a, b, c, d, x[i+ 8], 7 ,  1770035416);d = md5_ff(d, a, b, c, x[i+ 9], 12, -1958414417);c = md5_ff(c, d, a, b, x[i+10], 17, -42063);b = md5_ff(b, c, d, a, x[i+11], 22, -1990404162);a = md5_ff(a, b, c, d, x[i+12], 7 ,  1804603682);d = md5_ff(d, a, b, c, x[i+13], 12, -40341101);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2200
         c = md5_ff(c, d, a, b, x[i+14], 17, -1502002290);b = md5_ff(b, c, d, a, x[i+15], 22,  1236535329);a = md5_gg(a, b, c, d, x[i+ 1], 5 , -165796510);d = md5_gg(d, a, b, c, x[i+ 6], 9 , -1069501632);c = md5_gg(c, d, a, b, x[i+11], 14,  643717713);b = md5_gg(b, c, d, a, x[i+ 0], 20, -373897302);a = md5_gg(a, b, c, d, x[i+ 5], 5 , -701558691);d = md5_gg(d, a, b, c, x[i+10], 9 ,  38016083);c = md5_gg(c, d, a, b, x[i+15], 14, -660478335);b = md5_gg(b, c, d, a, x[i+ 4], 20, -405537848);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2201
         a = md5_gg(a, b, c, d, x[i+ 9], 5 ,  568446438);d = md5_gg(d, a, b, c, x[i+14], 9 , -1019803690);c = md5_gg(c, d, a, b, x[i+ 3], 14, -187363961);b = md5_gg(b, c, d, a, x[i+ 8], 20,  1163531501);a = md5_gg(a, b, c, d, x[i+13], 5 , -1444681467);d = md5_gg(d, a, b, c, x[i+ 2], 9 , -51403784);c = md5_gg(c, d, a, b, x[i+ 7], 14,  1735328473);b = md5_gg(b, c, d, a, x[i+12], 20, -1926607734);a = md5_hh(a, b, c, d, x[i+ 5], 4 , -378558);d = md5_hh(d, a, b, c, x[i+ 8], 11, -2022574463);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2202
         c = md5_hh(c, d, a, b, x[i+11], 16,  1839030562);b = md5_hh(b, c, d, a, x[i+14], 23, -35309556);a = md5_hh(a, b, c, d, x[i+ 1], 4 , -1530992060);d = md5_hh(d, a, b, c, x[i+ 4], 11,  1272893353);c = md5_hh(c, d, a, b, x[i+ 7], 16, -155497632);b = md5_hh(b, c, d, a, x[i+10], 23, -1094730640);a = md5_hh(a, b, c, d, x[i+13], 4 ,  681279174);d = md5_hh(d, a, b, c, x[i+ 0], 11, -358537222);c = md5_hh(c, d, a, b, x[i+ 3], 16, -722521979);b = md5_hh(b, c, d, a, x[i+ 6], 23,  76029189);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2203
         a = md5_hh(a, b, c, d, x[i+ 9], 4 , -640364487);d = md5_hh(d, a, b, c, x[i+12], 11, -421815835);c = md5_hh(c, d, a, b, x[i+15], 16,  530742520);b = md5_hh(b, c, d, a, x[i+ 2], 23, -995338651);a = md5_ii(a, b, c, d, x[i+ 0], 6 , -198630844);d = md5_ii(d, a, b, c, x[i+ 7], 10,  1126891415);c = md5_ii(c, d, a, b, x[i+14], 15, -1416354905);b = md5_ii(b, c, d, a, x[i+ 5], 21, -57434055);a = md5_ii(a, b, c, d, x[i+12], 6 ,  1700485571);d = md5_ii(d, a, b, c, x[i+ 3], 10, -1894986606);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2204
         c = md5_ii(c, d, a, b, x[i+10], 15, -1051523);b = md5_ii(b, c, d, a, x[i+ 1], 21, -2054922799);a = md5_ii(a, b, c, d, x[i+ 8], 6 ,  1873313359);d = md5_ii(d, a, b, c, x[i+15], 10, -30611744);c = md5_ii(c, d, a, b, x[i+ 6], 15, -1560198380);b = md5_ii(b, c, d, a, x[i+13], 21,  1309151649);a = md5_ii(a, b, c, d, x[i+ 4], 6 , -145523070);d = md5_ii(d, a, b, c, x[i+11], 10, -1120210379);c = md5_ii(c, d, a, b, x[i+ 2], 15,  718787259);b = md5_ii(b, c, d, a, x[i+ 9], 21, -343485551);
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2205
         a = safe_add(a, olda); b = safe_add(b, oldb); c = safe_add(c, oldc); d = safe_add(d, oldd); } return Array(a, b, c, d); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2206
function md5_cmn(q, a, b, x, s, t) { return safe_add(bit_rol(safe_add(safe_add(a, q), safe_add(x, t)), s),b); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2207
function md5_ff(a, b, c, d, x, s, t) { return md5_cmn((b & c) | ((~b) & d), a, b, x, s, t); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2208
function md5_gg(a, b, c, d, x, s, t) { return md5_cmn((b & d) | (c & (~d)), a, b, x, s, t); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2209
function md5_hh(a, b, c, d, x, s, t) { return md5_cmn(b ^ c ^ d, a, b, x, s, t); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2210
function md5_ii(a, b, c, d, x, s, t) { return md5_cmn(c ^ (b | (~d)), a, b, x, s, t); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2211
function core_hmac_md5(key, data) { var bkey = str2binl(key); if(bkey.length > 16) bkey = core_md5(bkey, key.length * chrsz); var ipad = Array(16), opad = Array(16); for(var i = 0; i < 16; i++) { ipad[i] = bkey[i] ^ 0x36363636; opad[i] = bkey[i] ^ 0x5C5C5C5C; } var hash = core_md5(ipad.concat(str2binl(data)), 512 + data.length * chrsz); return core_md5(opad.concat(hash), 512 + 128); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2212
function safe_add(x, y) {var lsw = (x & 0xFFFF) + (y & 0xFFFF);var msw = (x >> 16) + (y >> 16) + (lsw >> 16);return (msw << 16) | (lsw & 0xFFFF); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2213
function bit_rol(num, cnt) { return (num << cnt) | (num >>> (32 - cnt)); }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2214
function str2binl(str) { var bin = Array(); var mask = (1 << chrsz) - 1; for(var i = 0; i < str.length * chrsz; i += chrsz)bin[i>>5] |= (str.charCodeAt(i / chrsz) & mask) << (i%32); return bin;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2215
function binl2str(bin) { var str = ""; var mask = (1 << chrsz) - 1; for(var i = 0; i < bin.length * 32; i += chrsz) str += String.fromCharCode((bin[i>>5] >>> (i % 32)) & mask); return str; }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2216
function binl2hex(binarray) { var hex_tab = hexcase ? "0123456789ABCDEF" : "0123456789abcdef"; var str = ""; for(var i = 0; i < binarray.length * 4; i++) { str += hex_tab.charAt((binarray[i>>2] >> ((i%4)*8+4)) & 0xF) + hex_tab.charAt((binarray[i>>2] >> ((i%4)*8  )) & 0xF); } return str; }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2217
function binl2b64(binarray) { var tab = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; var str = ""; for(var i = 0; i < binarray.length * 4; i += 3) { var triplet = (((binarray[i >> 2] >> 8 * ( i   %4)) & 0xFF) << 16) | (((binarray[i+1 >> 2] >> 8 * ((i+1)%4)) & 0xFF) << 8 ) |  ((binarray[i+2 >> 2] >> 8 * ((i+2)%4)) & 0xFF); for(var j = 0; j < 4; j++) { if(i * 8 + j * 6 > binarray.length * 32) str += b64pad; else str += tab.charAt((triplet >> 6*(3-j)) & 0x3F); } } return str; }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2218
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2219
// SHA1
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2220
function hex_sha1(s){return binb2hex(core_sha1(str2binb(s),s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2221
function b64_sha1(s){return binb2b64(core_sha1(str2binb(s),s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2222
function str_sha1(s){return binb2str(core_sha1(str2binb(s),s.length * chrsz));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2223
function hex_hmac_sha1(key, data){ return binb2hex(core_hmac_sha1(key, data));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2224
function b64_hmac_sha1(key, data){ return binb2b64(core_hmac_sha1(key, data));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2225
function str_hmac_sha1(key, data){ return binb2str(core_hmac_sha1(key, data));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2226
function sha1_vm_test() {   return hex_sha1("abc") == "a9993e364706816aba3e25717850c26c9cd0d89d"; }
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2227
function core_sha1(x, len) { x[len >> 5] |= 0x80 << (24 - len % 32); x[((len + 64 >> 9) << 4) + 15] = len; var w = Array(80); var a =  1732584193; var b = -271733879; var c = -1732584194; var d =  271733878; var e = -1009589776; for(var i = 0; i < x.length; i += 16) { var olda = a; var oldb = b; var oldc = c; var oldd = d; var olde = e; for(var j = 0; j < 80; j++) { if(j < 16) w[j] = x[i + j]; else w[j] = rol(w[j-3] ^ w[j-8] ^ w[j-14] ^ w[j-16], 1); var t = safe_add(safe_add(rol(a, 5), sha1_ft(j, b, c, d)), safe_add(safe_add(e, w[j]), sha1_kt(j))); e = d; d = c; c = rol(b, 30); b = a; a = t; } a = safe_add(a, olda); b = safe_add(b, oldb); c = safe_add(c, oldc); d = safe_add(d, oldd); e = safe_add(e, olde); } return Array(a, b, c, d, e);}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2228
function sha1_ft(t, b, c, d){ if(t < 20) return (b & c) | ((~b) & d); if(t < 40) return b ^ c ^ d; if(t < 60) return (b & c) | (b & d) | (c & d); return b ^ c ^ d;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2229
function sha1_kt(t){ return (t < 20) ?  1518500249 : (t < 40) ?  1859775393 : (t < 60) ? -1894007588 : -899497514;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2230
function core_hmac_sha1(key, data){ var bkey = str2binb(key); if(bkey.length > 16) bkey = core_sha1(bkey, key.length * chrsz); var ipad = Array(16), opad = Array(16); for(var i = 0; i < 16; i++) { ipad[i] = bkey[i] ^ 0x36363636; opad[i] = bkey[i] ^ 0x5C5C5C5C; } var hash = core_sha1(ipad.concat(str2binb(data)), 512 + data.length * chrsz); return core_sha1(opad.concat(hash), 512 + 160);}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2231
function safe_add(x, y){ var lsw = (x & 0xFFFF) + (y & 0xFFFF); var msw = (x >> 16) + (y >> 16) + (lsw >> 16); return (msw << 16) | (lsw & 0xFFFF);}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2232
function rol(num, cnt){ return (num << cnt) | (num >>> (32 - cnt));}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2233
function str2binb(str){ var bin = Array(); var mask = (1 << chrsz) - 1; for(var i = 0; i < str.length * chrsz; i += chrsz) bin[i>>5] |= (str.charCodeAt(i / chrsz) & mask) << (32 - chrsz - i%32); return bin;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2234
function binb2str(bin){ var str = ""; var mask = (1 << chrsz) - 1; for(var i = 0; i < bin.length * 32; i += chrsz) str += String.fromCharCode((bin[i>>5] >>> (32 - chrsz - i%32)) & mask); return str;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2235
function binb2hex(binarray){ var hex_tab = hexcase ? "0123456789ABCDEF" : "0123456789abcdef"; var str = ""; for(var i = 0; i < binarray.length * 4; i++) { str += hex_tab.charAt((binarray[i>>2] >> ((3 - i%4)*8+4)) & 0xF) + hex_tab.charAt((binarray[i>>2] >> ((3 - i%4)*8  )) & 0xF); } return str;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2236
function binb2b64(binarray){ var tab = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; var str = ""; for(var i = 0; i < binarray.length * 4; i += 3) { var triplet = (((binarray[i   >> 2] >> 8 * (3 -  i   %4)) & 0xFF) << 16) | (((binarray[i+1 >> 2] >> 8 * (3 - (i+1)%4)) & 0xFF) << 8 ) |  ((binarray[i+2 >> 2] >> 8 * (3 - (i+2)%4)) & 0xFF); for(var j = 0; j < 4; j++) { if(i * 8 + j * 6 > binarray.length * 32) str += b64pad; else str += tab.charAt((triplet >> 6*(3-j)) & 0x3F); } } return str;}
a38876c0793c Majorly reworked Javascript runtime stuff to use on-demand loading.
Dan
parents:
diff changeset
  2237