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annotate scripts/minifier/otr/dep/bigint.js @ 140:e23e414987d7
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author | Goffi <goffi@goffi.org> |
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date | Sun, 23 Jun 2019 18:12:01 +0200 |
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1 ;(function (root, factory) { |
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2 |
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3 if (typeof define === 'function' && define.amd) { |
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4 define(factory.bind(root, root.crypto || root.msCrypto)) |
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5 } else if (typeof module !== 'undefined' && module.exports) { |
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6 module.exports = factory(require('crypto')) |
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7 } else { |
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8 root.BigInt = factory(root.crypto || root.msCrypto) |
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9 } |
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10 |
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11 }(this, function (crypto) { |
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12 |
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13 //////////////////////////////////////////////////////////////////////////////////////// |
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14 // Big Integer Library v. 5.5 |
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15 // Created 2000, last modified 2013 |
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16 // Leemon Baird |
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17 // www.leemon.com |
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18 // |
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19 // Version history: |
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20 // v 5.5 17 Mar 2013 |
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21 // - two lines of a form like "if (x<0) x+=n" had the "if" changed to "while" to |
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22 // handle the case when x<-n. (Thanks to James Ansell for finding that bug) |
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23 // v 5.4 3 Oct 2009 |
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24 // - added "var i" to greaterShift() so i is not global. (Thanks to Péter Szabó for finding that bug) |
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25 // |
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26 // v 5.3 21 Sep 2009 |
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27 // - added randProbPrime(k) for probable primes |
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28 // - unrolled loop in mont_ (slightly faster) |
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29 // - millerRabin now takes a bigInt parameter rather than an int |
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30 // |
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31 // v 5.2 15 Sep 2009 |
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32 // - fixed capitalization in call to int2bigInt in randBigInt |
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33 // (thanks to Emili Evripidou, Reinhold Behringer, and Samuel Macaleese for finding that bug) |
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34 // |
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35 // v 5.1 8 Oct 2007 |
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36 // - renamed inverseModInt_ to inverseModInt since it doesn't change its parameters |
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37 // - added functions GCD and randBigInt, which call GCD_ and randBigInt_ |
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38 // - fixed a bug found by Rob Visser (see comment with his name below) |
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39 // - improved comments |
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40 // |
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41 // This file is public domain. You can use it for any purpose without restriction. |
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42 // I do not guarantee that it is correct, so use it at your own risk. If you use |
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43 // it for something interesting, I'd appreciate hearing about it. If you find |
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44 // any bugs or make any improvements, I'd appreciate hearing about those too. |
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45 // It would also be nice if my name and URL were left in the comments. But none |
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46 // of that is required. |
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47 // |
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48 // This code defines a bigInt library for arbitrary-precision integers. |
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49 // A bigInt is an array of integers storing the value in chunks of bpe bits, |
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50 // little endian (buff[0] is the least significant word). |
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51 // Negative bigInts are stored two's complement. Almost all the functions treat |
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52 // bigInts as nonnegative. The few that view them as two's complement say so |
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53 // in their comments. Some functions assume their parameters have at least one |
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54 // leading zero element. Functions with an underscore at the end of the name put |
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55 // their answer into one of the arrays passed in, and have unpredictable behavior |
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56 // in case of overflow, so the caller must make sure the arrays are big enough to |
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57 // hold the answer. But the average user should never have to call any of the |
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58 // underscored functions. Each important underscored function has a wrapper function |
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59 // of the same name without the underscore that takes care of the details for you. |
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60 // For each underscored function where a parameter is modified, that same variable |
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61 // must not be used as another argument too. So, you cannot square x by doing |
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62 // multMod_(x,x,n). You must use squareMod_(x,n) instead, or do y=dup(x); multMod_(x,y,n). |
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63 // Or simply use the multMod(x,x,n) function without the underscore, where |
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64 // such issues never arise, because non-underscored functions never change |
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65 // their parameters; they always allocate new memory for the answer that is returned. |
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66 // |
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67 // These functions are designed to avoid frequent dynamic memory allocation in the inner loop. |
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68 // For most functions, if it needs a BigInt as a local variable it will actually use |
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69 // a global, and will only allocate to it only when it's not the right size. This ensures |
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70 // that when a function is called repeatedly with same-sized parameters, it only allocates |
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71 // memory on the first call. |
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72 // |
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73 // Note that for cryptographic purposes, the calls to Math.random() must |
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74 // be replaced with calls to a better pseudorandom number generator. |
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75 // |
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76 // In the following, "bigInt" means a bigInt with at least one leading zero element, |
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77 // and "integer" means a nonnegative integer less than radix. In some cases, integer |
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78 // can be negative. Negative bigInts are 2s complement. |
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79 // |
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80 // The following functions do not modify their inputs. |
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81 // Those returning a bigInt, string, or Array will dynamically allocate memory for that value. |
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82 // Those returning a boolean will return the integer 0 (false) or 1 (true). |
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83 // Those returning boolean or int will not allocate memory except possibly on the first |
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84 // time they're called with a given parameter size. |
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85 // |
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86 // bigInt add(x,y) //return (x+y) for bigInts x and y. |
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87 // bigInt addInt(x,n) //return (x+n) where x is a bigInt and n is an integer. |
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88 // string bigInt2str(x,base) //return a string form of bigInt x in a given base, with 2 <= base <= 95 |
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89 // int bitSize(x) //return how many bits long the bigInt x is, not counting leading zeros |
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90 // bigInt dup(x) //return a copy of bigInt x |
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91 // boolean equals(x,y) //is the bigInt x equal to the bigint y? |
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92 // boolean equalsInt(x,y) //is bigint x equal to integer y? |
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93 // bigInt expand(x,n) //return a copy of x with at least n elements, adding leading zeros if needed |
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94 // Array findPrimes(n) //return array of all primes less than integer n |
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95 // bigInt GCD(x,y) //return greatest common divisor of bigInts x and y (each with same number of elements). |
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96 // boolean greater(x,y) //is x>y? (x and y are nonnegative bigInts) |
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97 // boolean greaterShift(x,y,shift)//is (x <<(shift*bpe)) > y? |
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98 // 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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99 // 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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100 // 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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101 // boolean isZero(x) //is the bigInt x equal to zero? |
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102 // boolean millerRabin(x,b) //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime? (b is bigInt, 1<b<x) |
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103 // boolean millerRabinInt(x,b) //does one round of Miller-Rabin base integer b say that bigInt x is possibly prime? (b is int, 1<b<x) |
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104 // bigInt mod(x,n) //return a new bigInt equal to (x mod n) for bigInts x and n. |
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105 // int modInt(x,n) //return x mod n for bigInt x and integer n. |
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106 // bigInt mult(x,y) //return x*y for bigInts x and y. This is faster when y<x. |
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107 // 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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108 // boolean negative(x) //is bigInt x negative? |
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109 // 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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110 // bigInt randBigInt(n,s) //return an n-bit random BigInt (n>=1). If s=1, then the most significant of those n bits is set to 1. |
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111 // bigInt randTruePrime(k) //return a new, random, k-bit, true prime bigInt using Maurer's algorithm. |
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112 // bigInt randProbPrime(k) //return a new, random, k-bit, probable prime bigInt (probability it's composite less than 2^-80). |
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113 // bigInt str2bigInt(s,b,n,m) //return a bigInt for number represented in string s in base b with at least n bits and m array elements |
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114 // bigInt sub(x,y) //return (x-y) for bigInts x and y. Negative answers will be 2s complement |
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115 // bigInt trim(x,k) //return a copy of x with exactly k leading zero elements |
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116 // |
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117 // |
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118 // The following functions each have a non-underscored version, which most users should call instead. |
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119 // These functions each write to a single parameter, and the caller is responsible for ensuring the array |
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120 // passed in is large enough to hold the result. |
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121 // |
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122 // void addInt_(x,n) //do x=x+n where x is a bigInt and n is an integer |
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123 // void add_(x,y) //do x=x+y for bigInts x and y |
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124 // void copy_(x,y) //do x=y on bigInts x and y |
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125 // void copyInt_(x,n) //do x=n on bigInt x and integer n |
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126 // void GCD_(x,y) //set x to the greatest common divisor of bigInts x and y, (y is destroyed). (This never overflows its array). |
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127 // boolean inverseMod_(x,n) //do x=x**(-1) mod n, for bigInts x and n. Returns 1 (0) if inverse does (doesn't) exist |
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128 // void mod_(x,n) //do x=x mod n for bigInts x and n. (This never overflows its array). |
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129 // void mult_(x,y) //do x=x*y for bigInts x and y. |
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130 // void multMod_(x,y,n) //do x=x*y mod n for bigInts x,y,n. |
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131 // 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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132 // void randBigInt_(b,n,s) //do b = an n-bit random BigInt. if s=1, then nth bit (most significant bit) is set to 1. n>=1. |
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133 // 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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134 // void sub_(x,y) //do x=x-y for bigInts x and y. Negative answers will be 2s complement. |
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135 // |
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136 // The following functions do NOT have a non-underscored version. |
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137 // They each write a bigInt result to one or more parameters. The caller is responsible for |
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138 // ensuring the arrays passed in are large enough to hold the results. |
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139 // |
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140 // void addShift_(x,y,ys) //do x=x+(y<<(ys*bpe)) |
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141 // void carry_(x) //do carries and borrows so each element of the bigInt x fits in bpe bits. |
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142 // void divide_(x,y,q,r) //divide x by y giving quotient q and remainder r |
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143 // int divInt_(x,n) //do x=floor(x/n) for bigInt x and integer n, and return the remainder. (This never overflows its array). |
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144 // 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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145 // 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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146 // void leftShift_(x,n) //left shift bigInt x by n bits. n<bpe. |
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147 // 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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148 // 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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149 // void mont_(x,y,n,np) //Montgomery multiplication (see comments where the function is defined) |
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150 // void multInt_(x,n) //do x=x*n where x is a bigInt and n is an integer. |
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151 // void rightShift_(x,n) //right shift bigInt x by n bits. (This never overflows its array). |
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152 // void squareMod_(x,n) //do x=x*x mod n for bigInts x,n |
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153 // void subShift_(x,y,ys) //do x=x-(y<<(ys*bpe)). Negative answers will be 2s complement. |
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154 // |
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155 // The following functions are based on algorithms from the _Handbook of Applied Cryptography_ |
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156 // powMod_() = algorithm 14.94, Montgomery exponentiation |
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157 // eGCD_,inverseMod_() = algorithm 14.61, Binary extended GCD_ |
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158 // GCD_() = algorothm 14.57, Lehmer's algorithm |
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159 // mont_() = algorithm 14.36, Montgomery multiplication |
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160 // divide_() = algorithm 14.20 Multiple-precision division |
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161 // squareMod_() = algorithm 14.16 Multiple-precision squaring |
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162 // randTruePrime_() = algorithm 4.62, Maurer's algorithm |
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163 // millerRabin() = algorithm 4.24, Miller-Rabin algorithm |
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164 // |
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165 // Profiling shows: |
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166 // randTruePrime_() spends: |
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167 // 10% of its time in calls to powMod_() |
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168 // 85% of its time in calls to millerRabin() |
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169 // millerRabin() spends: |
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170 // 99% of its time in calls to powMod_() (always with a base of 2) |
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171 // powMod_() spends: |
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172 // 94% of its time in calls to mont_() (almost always with x==y) |
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173 // |
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174 // This suggests there are several ways to speed up this library slightly: |
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175 // - convert powMod_ to use a Montgomery form of k-ary window (or maybe a Montgomery form of sliding window) |
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176 // -- this should especially focus on being fast when raising 2 to a power mod n |
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177 // - 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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178 // - tune the parameters in randTruePrime_(), including c, m, and recLimit |
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179 // - speed up the single loop in mont_() that takes 95% of the runtime, perhaps by reducing checking |
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180 // within the loop when all the parameters are the same length. |
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181 // |
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182 // There are several ideas that look like they wouldn't help much at all: |
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183 // - replacing trial division in randTruePrime_() with a sieve (that speeds up something taking almost no time anyway) |
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184 // - 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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185 // - speeding up mont_(x,y,n,np) when x==y by doing a non-modular, non-Montgomery square |
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186 // followed by a Montgomery reduction. The intermediate answer will be twice as long as x, so that |
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187 // method would be slower. This is unfortunate because the code currently spends almost all of its time |
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188 // doing mont_(x,x,...), both for randTruePrime_() and powMod_(). A faster method for Montgomery squaring |
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189 // would have a large impact on the speed of randTruePrime_() and powMod_(). HAC has a couple of poorly-worded |
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190 // sentences that seem to imply it's faster to do a non-modular square followed by a single |
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191 // Montgomery reduction, but that's obviously wrong. |
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192 //////////////////////////////////////////////////////////////////////////////////////// |
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193 |
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194 //globals |
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195 |
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196 // The number of significant bits in the fraction of a JavaScript |
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197 // floating-point number is 52, independent of platform. |
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198 // See: https://github.com/arlolra/otr/issues/41 |
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199 |
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200 var bpe = 26; // bits stored per array element |
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201 var radix = 1 << bpe; // equals 2^bpe |
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202 var mask = radix - 1; // AND this with an array element to chop it down to bpe bits |
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203 |
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204 //the digits for converting to different bases |
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205 var digitsStr='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz_=!@#$%^&*()[]{}|;:,.<>/?`~ \\\'\"+-'; |
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206 |
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207 var one=int2bigInt(1,1,1); //constant used in powMod_() |
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208 |
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209 //the following global variables are scratchpad memory to |
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210 //reduce dynamic memory allocation in the inner loop |
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211 var t=new Array(0); |
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212 var ss=t; //used in mult_() |
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213 var s0=t; //used in multMod_(), squareMod_() |
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214 var s1=t; //used in powMod_(), multMod_(), squareMod_() |
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215 var s2=t; //used in powMod_(), multMod_() |
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216 var s3=t; //used in powMod_() |
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217 var s4=t, s5=t; //used in mod_() |
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218 var s6=t; //used in bigInt2str() |
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219 var s7=t; //used in powMod_() |
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220 var T=t; //used in GCD_() |
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221 var sa=t; //used in mont_() |
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222 var mr_x1=t, mr_r=t, mr_a=t; //used in millerRabin() |
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223 var 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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224 var md_q1=t, md_q2=t, md_q3=t, md_r=t, md_r1=t, md_r2=t, md_tt=t; //used in mod_() |
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225 |
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226 var 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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227 var s_a=t, s_r2=t, s_n=t, s_b=t, s_d=t, s_x1=t, s_x2=t, s_aa=t; //used in randTruePrime_() |
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228 |
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229 var rpprb=t; //used in randProbPrimeRounds() (which also uses "primes") |
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230 |
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231 //////////////////////////////////////////////////////////////////////////////////////// |
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232 |
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233 |
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234 //return array of all primes less than integer n |
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235 function findPrimes(n) { |
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236 var i,s,p,ans; |
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237 s=new Array(n); |
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238 for (i=0;i<n;i++) |
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239 s[i]=0; |
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240 s[0]=2; |
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241 p=0; //first p elements of s are primes, the rest are a sieve |
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242 for(;s[p]<n;) { //s[p] is the pth prime |
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243 for(i=s[p]*s[p]; i<n; i+=s[p]) //mark multiples of s[p] |
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244 s[i]=1; |
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245 p++; |
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246 s[p]=s[p-1]+1; |
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247 for(; s[p]<n && s[s[p]]; s[p]++); //find next prime (where s[p]==0) |
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248 } |
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249 ans=new Array(p); |
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250 for(i=0;i<p;i++) |
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251 ans[i]=s[i]; |
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252 return ans; |
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253 } |
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254 |
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255 |
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256 //does a single round of Miller-Rabin base b consider x to be a possible prime? |
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257 //x is a bigInt, and b is an integer, with b<x |
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258 function millerRabinInt(x,b) { |
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259 if (mr_x1.length!=x.length) { |
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260 mr_x1=dup(x); |
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261 mr_r=dup(x); |
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262 mr_a=dup(x); |
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263 } |
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264 |
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265 copyInt_(mr_a,b); |
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266 return millerRabin(x,mr_a); |
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267 } |
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268 |
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269 //does a single round of Miller-Rabin base b consider x to be a possible prime? |
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270 //x and b are bigInts with b<x |
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271 function millerRabin(x,b) { |
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272 var i,j,k,s; |
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273 |
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274 if (mr_x1.length!=x.length) { |
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275 mr_x1=dup(x); |
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276 mr_r=dup(x); |
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277 mr_a=dup(x); |
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278 } |
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279 |
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280 copy_(mr_a,b); |
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281 copy_(mr_r,x); |
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282 copy_(mr_x1,x); |
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283 |
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284 addInt_(mr_r,-1); |
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285 addInt_(mr_x1,-1); |
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286 |
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287 //s=the highest power of two that divides mr_r |
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288 |
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289 /* |
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290 k=0; |
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291 for (i=0;i<mr_r.length;i++) |
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292 for (j=1;j<mask;j<<=1) |
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293 if (x[i] & j) { |
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294 s=(k<mr_r.length+bpe ? k : 0); |
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295 i=mr_r.length; |
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296 j=mask; |
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297 } else |
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298 k++; |
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299 */ |
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300 |
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301 /* http://www.javascripter.net/math/primes/millerrabinbug-bigint54.htm */ |
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302 if (isZero(mr_r)) return 0; |
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303 for (k=0; mr_r[k]==0; k++); |
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304 for (i=1,j=2; mr_r[k]%j==0; j*=2,i++ ); |
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305 s = k*bpe + i - 1; |
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306 /* end */ |
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307 |
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308 if (s) |
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309 rightShift_(mr_r,s); |
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310 |
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311 powMod_(mr_a,mr_r,x); |
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312 |
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313 if (!equalsInt(mr_a,1) && !equals(mr_a,mr_x1)) { |
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314 j=1; |
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315 while (j<=s-1 && !equals(mr_a,mr_x1)) { |
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316 squareMod_(mr_a,x); |
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317 if (equalsInt(mr_a,1)) { |
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318 return 0; |
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319 } |
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320 j++; |
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321 } |
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322 if (!equals(mr_a,mr_x1)) { |
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323 return 0; |
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324 } |
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325 } |
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326 return 1; |
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327 } |
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328 |
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329 //returns how many bits long the bigInt is, not counting leading zeros. |
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330 function bitSize(x) { |
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331 var j,z,w; |
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332 for (j=x.length-1; (x[j]==0) && (j>0); j--); |
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333 for (z=0,w=x[j]; w; (w>>=1),z++); |
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334 z+=bpe*j; |
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335 return z; |
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336 } |
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337 |
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338 //return a copy of x with at least n elements, adding leading zeros if needed |
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339 function expand(x,n) { |
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340 var ans=int2bigInt(0,(x.length>n ? x.length : n)*bpe,0); |
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341 copy_(ans,x); |
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342 return ans; |
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343 } |
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344 |
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345 //return a k-bit true random prime using Maurer's algorithm. |
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346 function randTruePrime(k) { |
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347 var ans=int2bigInt(0,k,0); |
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348 randTruePrime_(ans,k); |
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349 return trim(ans,1); |
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350 } |
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351 |
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352 //return a k-bit random probable prime with probability of error < 2^-80 |
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353 function randProbPrime(k) { |
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354 if (k>=600) return randProbPrimeRounds(k,2); //numbers from HAC table 4.3 |
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355 if (k>=550) return randProbPrimeRounds(k,4); |
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356 if (k>=500) return randProbPrimeRounds(k,5); |
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357 if (k>=400) return randProbPrimeRounds(k,6); |
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358 if (k>=350) return randProbPrimeRounds(k,7); |
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359 if (k>=300) return randProbPrimeRounds(k,9); |
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360 if (k>=250) return randProbPrimeRounds(k,12); //numbers from HAC table 4.4 |
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361 if (k>=200) return randProbPrimeRounds(k,15); |
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362 if (k>=150) return randProbPrimeRounds(k,18); |
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363 if (k>=100) return randProbPrimeRounds(k,27); |
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364 return randProbPrimeRounds(k,40); //number from HAC remark 4.26 (only an estimate) |
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365 } |
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366 |
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367 //return a k-bit probable random prime using n rounds of Miller Rabin (after trial division with small primes) |
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368 function randProbPrimeRounds(k,n) { |
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369 var ans, i, divisible, B; |
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370 B=30000; //B is largest prime to use in trial division |
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371 ans=int2bigInt(0,k,0); |
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372 |
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373 //optimization: try larger and smaller B to find the best limit. |
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374 |
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375 if (primes.length==0) |
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376 primes=findPrimes(30000); //check for divisibility by primes <=30000 |
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377 |
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378 if (rpprb.length!=ans.length) |
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379 rpprb=dup(ans); |
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380 |
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381 for (;;) { //keep trying random values for ans until one appears to be prime |
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382 //optimization: pick a random number times L=2*3*5*...*p, plus a |
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383 // random element of the list of all numbers in [0,L) not divisible by any prime up to p. |
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384 // This can reduce the amount of random number generation. |
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385 |
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386 randBigInt_(ans,k,0); //ans = a random odd number to check |
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387 ans[0] |= 1; |
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388 divisible=0; |
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389 |
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390 //check ans for divisibility by small primes up to B |
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391 for (i=0; (i<primes.length) && (primes[i]<=B); i++) |
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392 if (modInt(ans,primes[i])==0 && !equalsInt(ans,primes[i])) { |
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393 divisible=1; |
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394 break; |
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395 } |
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396 |
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397 //optimization: change millerRabin so the base can be bigger than the number being checked, then eliminate the while here. |
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398 |
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399 //do n rounds of Miller Rabin, with random bases less than ans |
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400 for (i=0; i<n && !divisible; i++) { |
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401 randBigInt_(rpprb,k,0); |
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402 while(!greater(ans,rpprb)) //pick a random rpprb that's < ans |
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403 randBigInt_(rpprb,k,0); |
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404 if (!millerRabin(ans,rpprb)) |
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405 divisible=1; |
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406 } |
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407 |
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408 if(!divisible) |
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409 return ans; |
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410 } |
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411 } |
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412 |
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413 //return a new bigInt equal to (x mod n) for bigInts x and n. |
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414 function mod(x,n) { |
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415 var ans=dup(x); |
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416 mod_(ans,n); |
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417 return trim(ans,1); |
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418 } |
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419 |
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420 //return (x+n) where x is a bigInt and n is an integer. |
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421 function addInt(x,n) { |
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422 var ans=expand(x,x.length+1); |
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423 addInt_(ans,n); |
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424 return trim(ans,1); |
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425 } |
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426 |
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427 //return x*y for bigInts x and y. This is faster when y<x. |
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428 function mult(x,y) { |
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429 var ans=expand(x,x.length+y.length); |
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430 mult_(ans,y); |
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431 return trim(ans,1); |
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432 } |
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433 |
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434 //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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435 function powMod(x,y,n) { |
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436 var ans=expand(x,n.length); |
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437 powMod_(ans,trim(y,2),trim(n,2),0); //this should work without the trim, but doesn't |
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438 return trim(ans,1); |
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439 } |
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440 |
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441 //return (x-y) for bigInts x and y. Negative answers will be 2s complement |
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442 function sub(x,y) { |
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443 var ans=expand(x,(x.length>y.length ? x.length+1 : y.length+1)); |
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444 sub_(ans,y); |
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445 return trim(ans,1); |
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446 } |
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447 |
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448 //return (x+y) for bigInts x and y. |
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449 function add(x,y) { |
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450 var ans=expand(x,(x.length>y.length ? x.length+1 : y.length+1)); |
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451 add_(ans,y); |
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452 return trim(ans,1); |
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453 } |
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454 |
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455 //return (x**(-1) mod n) for bigInts x and n. If no inverse exists, it returns null |
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456 function inverseMod(x,n) { |
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457 var ans=expand(x,n.length); |
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458 var s; |
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459 s=inverseMod_(ans,n); |
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460 return s ? trim(ans,1) : null; |
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461 } |
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462 |
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463 //return (x*y mod n) for bigInts x,y,n. For greater speed, let y<x. |
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464 function multMod(x,y,n) { |
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465 var ans=expand(x,n.length); |
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466 multMod_(ans,y,n); |
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467 return trim(ans,1); |
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468 } |
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469 |
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470 //generate a k-bit true random prime using Maurer's algorithm, |
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471 //and put it into ans. The bigInt ans must be large enough to hold it. |
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472 function randTruePrime_(ans,k) { |
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473 var c,w,m,pm,dd,j,r,B,divisible,z,zz,recSize,recLimit; |
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474 |
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475 if (primes.length==0) |
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476 primes=findPrimes(30000); //check for divisibility by primes <=30000 |
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477 |
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478 if (pows.length==0) { |
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479 pows=new Array(512); |
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480 for (j=0;j<512;j++) { |
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481 pows[j]=Math.pow(2,j/511.0-1.0); |
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482 } |
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483 } |
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484 |
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485 //c and m should be tuned for a particular machine and value of k, to maximize speed |
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486 c=0.1; //c=0.1 in HAC |
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487 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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488 recLimit=20; //stop recursion when k <=recLimit. Must have recLimit >= 2 |
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489 |
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490 if (s_i2.length!=ans.length) { |
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491 s_i2=dup(ans); |
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492 s_R =dup(ans); |
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493 s_n1=dup(ans); |
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494 s_r2=dup(ans); |
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495 s_d =dup(ans); |
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496 s_x1=dup(ans); |
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497 s_x2=dup(ans); |
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498 s_b =dup(ans); |
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499 s_n =dup(ans); |
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500 s_i =dup(ans); |
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501 s_rm=dup(ans); |
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502 s_q =dup(ans); |
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503 s_a =dup(ans); |
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504 s_aa=dup(ans); |
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505 } |
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506 |
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507 if (k <= recLimit) { //generate small random primes by trial division up to its square root |
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508 pm=(1<<((k+2)>>1))-1; //pm is binary number with all ones, just over sqrt(2^k) |
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509 copyInt_(ans,0); |
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510 for (dd=1;dd;) { |
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511 dd=0; |
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512 ans[0]= 1 | (1<<(k-1)) | randomBitInt(k); //random, k-bit, odd integer, with msb 1 |
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513 for (j=1;(j<primes.length) && ((primes[j]&pm)==primes[j]);j++) { //trial division by all primes 3...sqrt(2^k) |
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514 if (0==(ans[0]%primes[j])) { |
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515 dd=1; |
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516 break; |
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517 } |
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518 } |
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519 } |
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520 carry_(ans); |
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521 return; |
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522 } |
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523 |
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524 B=c*k*k; //try small primes up to B (or all the primes[] array if the largest is less than B). |
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525 if (k>2*m) //generate this k-bit number by first recursively generating a number that has between k/2 and k-m bits |
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526 for (r=1; k-k*r<=m; ) |
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527 r=pows[randomBitInt(9)]; //r=Math.pow(2,Math.random()-1); |
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528 else |
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529 r=0.5; |
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530 |
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531 //simulation suggests the more complex algorithm using r=.333 is only slightly faster. |
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532 |
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533 recSize=Math.floor(r*k)+1; |
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534 |
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535 randTruePrime_(s_q,recSize); |
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536 copyInt_(s_i2,0); |
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537 s_i2[Math.floor((k-2)/bpe)] |= (1<<((k-2)%bpe)); //s_i2=2^(k-2) |
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538 divide_(s_i2,s_q,s_i,s_rm); //s_i=floor((2^(k-1))/(2q)) |
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539 |
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540 z=bitSize(s_i); |
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541 |
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542 for (;;) { |
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543 for (;;) { //generate z-bit numbers until one falls in the range [0,s_i-1] |
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544 randBigInt_(s_R,z,0); |
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545 if (greater(s_i,s_R)) |
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546 break; |
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547 } //now s_R is in the range [0,s_i-1] |
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548 addInt_(s_R,1); //now s_R is in the range [1,s_i] |
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549 add_(s_R,s_i); //now s_R is in the range [s_i+1,2*s_i] |
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550 |
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551 copy_(s_n,s_q); |
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552 mult_(s_n,s_R); |
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553 multInt_(s_n,2); |
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554 addInt_(s_n,1); //s_n=2*s_R*s_q+1 |
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555 |
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556 copy_(s_r2,s_R); |
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557 multInt_(s_r2,2); //s_r2=2*s_R |
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558 |
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559 //check s_n for divisibility by small primes up to B |
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560 for (divisible=0,j=0; (j<primes.length) && (primes[j]<B); j++) |
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561 if (modInt(s_n,primes[j])==0 && !equalsInt(s_n,primes[j])) { |
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562 divisible=1; |
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563 break; |
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564 } |
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565 |
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566 if (!divisible) //if it passes small primes check, then try a single Miller-Rabin base 2 |
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567 if (!millerRabinInt(s_n,2)) //this line represents 75% of the total runtime for randTruePrime_ |
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568 divisible=1; |
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569 |
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570 if (!divisible) { //if it passes that test, continue checking s_n |
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571 addInt_(s_n,-3); |
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572 for (j=s_n.length-1;(s_n[j]==0) && (j>0); j--); //strip leading zeros |
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573 for (zz=0,w=s_n[j]; w; (w>>=1),zz++); |
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574 zz+=bpe*j; //zz=number of bits in s_n, ignoring leading zeros |
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575 for (;;) { //generate z-bit numbers until one falls in the range [0,s_n-1] |
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576 randBigInt_(s_a,zz,0); |
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577 if (greater(s_n,s_a)) |
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578 break; |
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579 } //now s_a is in the range [0,s_n-1] |
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580 addInt_(s_n,3); //now s_a is in the range [0,s_n-4] |
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581 addInt_(s_a,2); //now s_a is in the range [2,s_n-2] |
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582 copy_(s_b,s_a); |
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583 copy_(s_n1,s_n); |
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584 addInt_(s_n1,-1); |
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585 powMod_(s_b,s_n1,s_n); //s_b=s_a^(s_n-1) modulo s_n |
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586 addInt_(s_b,-1); |
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587 if (isZero(s_b)) { |
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588 copy_(s_b,s_a); |
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589 powMod_(s_b,s_r2,s_n); |
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590 addInt_(s_b,-1); |
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591 copy_(s_aa,s_n); |
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592 copy_(s_d,s_b); |
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593 GCD_(s_d,s_n); //if s_b and s_n are relatively prime, then s_n is a prime |
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594 if (equalsInt(s_d,1)) { |
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595 copy_(ans,s_aa); |
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596 return; //if we've made it this far, then s_n is absolutely guaranteed to be prime |
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597 } |
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598 } |
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599 } |
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600 } |
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601 } |
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602 |
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603 //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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604 function randBigInt(n,s) { |
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605 var a,b; |
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606 a=Math.floor((n-1)/bpe)+2; //# array elements to hold the BigInt with a leading 0 element |
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607 b=int2bigInt(0,0,a); |
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608 randBigInt_(b,n,s); |
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609 return b; |
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610 } |
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611 |
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612 //Set b to an n-bit random BigInt. If s=1, then the most significant of those n bits is set to 1. |
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613 //Array b must be big enough to hold the result. Must have n>=1 |
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614 function randBigInt_(b,n,s) { |
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615 var i,a; |
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616 for (i=0;i<b.length;i++) |
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617 b[i]=0; |
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618 a=Math.floor((n-1)/bpe)+1; //# array elements to hold the BigInt |
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619 for (i=0;i<a;i++) { |
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620 b[i]=randomBitInt(bpe); |
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621 } |
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622 b[a-1] &= (2<<((n-1)%bpe))-1; |
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623 if (s==1) |
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624 b[a-1] |= (1<<((n-1)%bpe)); |
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625 } |
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626 |
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627 //Return the greatest common divisor of bigInts x and y (each with same number of elements). |
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628 function GCD(x,y) { |
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629 var xc,yc; |
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630 xc=dup(x); |
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631 yc=dup(y); |
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632 GCD_(xc,yc); |
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633 return xc; |
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634 } |
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635 |
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636 //set x to the greatest common divisor of bigInts x and y (each with same number of elements). |
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637 //y is destroyed. |
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638 function GCD_(x,y) { |
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639 var i,xp,yp,A,B,C,D,q,sing,qp; |
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640 if (T.length!=x.length) |
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parents:
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641 T=dup(x); |
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642 |
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643 sing=1; |
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644 while (sing) { //while y has nonzero elements other than y[0] |
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diff
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645 sing=0; |
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646 for (i=1;i<y.length;i++) //check if y has nonzero elements other than 0 |
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647 if (y[i]) { |
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648 sing=1; |
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parents:
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649 break; |
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650 } |
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651 if (!sing) break; //quit when y all zero elements except possibly y[0] |
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652 |
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653 for (i=x.length;!x[i] && i>=0;i--); //find most significant element of x |
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654 xp=x[i]; |
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655 yp=y[i]; |
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656 A=1; B=0; C=0; D=1; |
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657 while ((yp+C) && (yp+D)) { |
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658 q =Math.floor((xp+A)/(yp+C)); |
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659 qp=Math.floor((xp+B)/(yp+D)); |
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660 if (q!=qp) |
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661 break; |
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662 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) |
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663 t= B-q*D; B=D; D=t; |
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664 t=xp-q*yp; xp=yp; yp=t; |
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665 } |
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666 if (B) { |
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667 copy_(T,x); |
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668 linComb_(x,y,A,B); //x=A*x+B*y |
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669 linComb_(y,T,D,C); //y=D*y+C*T |
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670 } else { |
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671 mod_(x,y); |
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672 copy_(T,x); |
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673 copy_(x,y); |
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674 copy_(y,T); |
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|
675 } |
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676 } |
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677 if (y[0]==0) |
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changeset
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678 return; |
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679 t=modInt(x,y[0]); |
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souliane <souliane@mailoo.org>
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diff
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680 copyInt_(x,y[0]); |
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681 y[0]=t; |
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682 while (y[0]) { |
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683 x[0]%=y[0]; |
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684 t=x[0]; x[0]=y[0]; y[0]=t; |
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685 } |
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parents:
diff
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|
686 } |
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souliane <souliane@mailoo.org>
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687 |
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688 //do x=x**(-1) mod n, for bigInts x and n. |
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689 //If no inverse exists, it sets x to zero and returns 0, else it returns 1. |
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690 //The x array must be at least as large as the n array. |
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691 function inverseMod_(x,n) { |
1596660ddf72
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parents:
diff
changeset
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692 var k=1+2*Math.max(x.length,n.length); |
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changeset
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693 |
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694 if(!(x[0]&1) && !(n[0]&1)) { //if both inputs are even, then inverse doesn't exist |
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695 copyInt_(x,0); |
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696 return 0; |
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697 } |
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698 |
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699 if (eg_u.length!=k) { |
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700 eg_u=new Array(k); |
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701 eg_v=new Array(k); |
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702 eg_A=new Array(k); |
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703 eg_B=new Array(k); |
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704 eg_C=new Array(k); |
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705 eg_D=new Array(k); |
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|
706 } |
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707 |
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708 copy_(eg_u,x); |
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709 copy_(eg_v,n); |
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710 copyInt_(eg_A,1); |
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711 copyInt_(eg_B,0); |
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712 copyInt_(eg_C,0); |
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changeset
|
713 copyInt_(eg_D,1); |
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714 for (;;) { |
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changeset
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715 while(!(eg_u[0]&1)) { //while eg_u is even |
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716 halve_(eg_u); |
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717 if (!(eg_A[0]&1) && !(eg_B[0]&1)) { //if eg_A==eg_B==0 mod 2 |
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718 halve_(eg_A); |
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719 halve_(eg_B); |
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720 } else { |
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diff
changeset
|
721 add_(eg_A,n); halve_(eg_A); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
722 sub_(eg_B,x); halve_(eg_B); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
723 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
724 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
725 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
726 while (!(eg_v[0]&1)) { //while eg_v is even |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
727 halve_(eg_v); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
728 if (!(eg_C[0]&1) && !(eg_D[0]&1)) { //if eg_C==eg_D==0 mod 2 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
729 halve_(eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
730 halve_(eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
731 } else { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
732 add_(eg_C,n); halve_(eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
733 sub_(eg_D,x); halve_(eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
734 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
735 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
736 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
737 if (!greater(eg_v,eg_u)) { //eg_v <= eg_u |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
738 sub_(eg_u,eg_v); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
739 sub_(eg_A,eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
740 sub_(eg_B,eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
741 } else { //eg_v > eg_u |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
742 sub_(eg_v,eg_u); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
743 sub_(eg_C,eg_A); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
744 sub_(eg_D,eg_B); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
745 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
746 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
747 if (equalsInt(eg_u,0)) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
748 while (negative(eg_C)) //make sure answer is nonnegative |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
749 add_(eg_C,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
750 copy_(x,eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
751 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
752 if (!equalsInt(eg_v,1)) { //if GCD_(x,n)!=1, then there is no inverse |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
753 copyInt_(x,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
754 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
755 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
756 return 1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
757 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
758 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
759 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
760 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
761 //return x**(-1) mod n, for integers x and n. Return 0 if there is no inverse |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
762 function inverseModInt(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
763 var a=1,b=0,t; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
764 for (;;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
765 if (x==1) return a; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
766 if (x==0) return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
767 b-=a*Math.floor(n/x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
768 n%=x; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
769 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
770 if (n==1) return b; //to avoid negatives, change this b to n-b, and each -= to += |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
771 if (n==0) return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
772 a-=b*Math.floor(x/n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
773 x%=n; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
774 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
775 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
776 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
777 //this deprecated function is for backward compatibility only. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
778 function inverseModInt_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
779 return inverseModInt(x,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
780 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
781 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
782 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
783 //Given positive bigInts x and y, change the bigints v, a, and b to positive bigInts such that: |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
784 // v = GCD_(x,y) = a*x-b*y |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
785 //The bigInts v, a, b, must have exactly as many elements as the larger of x and y. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
786 function eGCD_(x,y,v,a,b) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
787 var g=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
788 var k=Math.max(x.length,y.length); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
789 if (eg_u.length!=k) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
790 eg_u=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
791 eg_A=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
792 eg_B=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
793 eg_C=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
794 eg_D=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
795 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
796 while(!(x[0]&1) && !(y[0]&1)) { //while x and y both even |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
797 halve_(x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
798 halve_(y); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
799 g++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
800 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
801 copy_(eg_u,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
802 copy_(v,y); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
803 copyInt_(eg_A,1); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
804 copyInt_(eg_B,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
805 copyInt_(eg_C,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
806 copyInt_(eg_D,1); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
807 for (;;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
808 while(!(eg_u[0]&1)) { //while u is even |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
809 halve_(eg_u); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
810 if (!(eg_A[0]&1) && !(eg_B[0]&1)) { //if A==B==0 mod 2 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
811 halve_(eg_A); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
812 halve_(eg_B); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
813 } else { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
814 add_(eg_A,y); halve_(eg_A); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
815 sub_(eg_B,x); halve_(eg_B); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
816 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
817 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
818 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
819 while (!(v[0]&1)) { //while v is even |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
820 halve_(v); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
821 if (!(eg_C[0]&1) && !(eg_D[0]&1)) { //if C==D==0 mod 2 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
822 halve_(eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
823 halve_(eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
824 } else { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
825 add_(eg_C,y); halve_(eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
826 sub_(eg_D,x); halve_(eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
827 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
828 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
829 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
830 if (!greater(v,eg_u)) { //v<=u |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
831 sub_(eg_u,v); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
832 sub_(eg_A,eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
833 sub_(eg_B,eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
834 } else { //v>u |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
835 sub_(v,eg_u); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
836 sub_(eg_C,eg_A); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
837 sub_(eg_D,eg_B); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
838 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
839 if (equalsInt(eg_u,0)) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
840 while (negative(eg_C)) { //make sure a (C) is nonnegative |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
841 add_(eg_C,y); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
842 sub_(eg_D,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
843 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
844 multInt_(eg_D,-1); ///make sure b (D) is nonnegative |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
845 copy_(a,eg_C); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
846 copy_(b,eg_D); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
847 leftShift_(v,g); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
848 return; |
1596660ddf72
Add minifier script for otr.js and its dependencies
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|
849 } |
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Add minifier script for otr.js and its dependencies
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diff
changeset
|
850 } |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
851 } |
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Add minifier script for otr.js and its dependencies
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parents:
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changeset
|
852 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
853 |
1596660ddf72
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parents:
diff
changeset
|
854 //is bigInt x negative? |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
855 function negative(x) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
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diff
changeset
|
856 return ((x[x.length-1]>>(bpe-1))&1); |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
857 } |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
858 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
859 |
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parents:
diff
changeset
|
860 //is (x << (shift*bpe)) > y? |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
861 //x and y are nonnegative bigInts |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
862 //shift is a nonnegative integer |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
863 function greaterShift(x,y,shift) { |
1596660ddf72
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souliane <souliane@mailoo.org>
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864 var i, kx=x.length, ky=y.length; |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
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865 var k=((kx+shift)<ky) ? (kx+shift) : ky; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
866 for (i=ky-1-shift; i<kx && i>=0; i++) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
867 if (x[i]>0) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
868 return 1; //if there are nonzeros in x to the left of the first column of y, then x is bigger |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
869 for (i=kx-1+shift; i<ky; i++) |
1596660ddf72
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parents:
diff
changeset
|
870 if (y[i]>0) |
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diff
changeset
|
871 return 0; //if there are nonzeros in y to the left of the first column of x, then x is not bigger |
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souliane <souliane@mailoo.org>
parents:
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changeset
|
872 for (i=k-1; i>=shift; i--) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
873 if (x[i-shift]>y[i]) return 1; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
874 else if (x[i-shift]<y[i]) return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
875 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
876 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
877 |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
878 //is x > y? (x and y both nonnegative) |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
879 function greater(x,y) { |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
880 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
881 var k=(x.length<y.length) ? x.length : y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
882 |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
883 for (i=x.length;i<y.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
884 if (y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
885 return 0; //y has more digits |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
886 |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
887 for (i=y.length;i<x.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
888 if (x[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
889 return 1; //x has more digits |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
890 |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
891 for (i=k-1;i>=0;i--) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
892 if (x[i]>y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
893 return 1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
894 else if (x[i]<y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
895 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
896 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
897 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
898 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
899 //divide x by y giving quotient q and remainder r. (q=floor(x/y), r=x mod y). All 4 are bigints. |
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900 //x must have at least one leading zero element. |
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diff
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|
901 //y must be nonzero. |
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diff
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|
902 //q and r must be arrays that are exactly the same length as x. (Or q can have more). |
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parents:
diff
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|
903 //Must have x.length >= y.length >= 2. |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
904 function divide_(x,y,q,r) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
905 var kx, ky; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
906 var i,j,y1,y2,c,a,b; |
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souliane <souliane@mailoo.org>
parents:
diff
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|
907 copy_(r,x); |
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parents:
diff
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|
908 for (ky=y.length;y[ky-1]==0;ky--); //ky is number of elements in y, not including leading zeros |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
909 |
1596660ddf72
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parents:
diff
changeset
|
910 //normalize: ensure the most significant element of y has its highest bit set |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
911 b=y[ky-1]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
912 for (a=0; b; a++) |
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parents:
diff
changeset
|
913 b>>=1; |
1596660ddf72
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parents:
diff
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|
914 a=bpe-a; //a is how many bits to shift so that the high order bit of y is leftmost in its array element |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
915 leftShift_(y,a); //multiply both by 1<<a now, then divide both by that at the end |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
916 leftShift_(r,a); |
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parents:
diff
changeset
|
917 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
918 //Rob Visser discovered a bug: the following line was originally just before the normalization. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
919 for (kx=r.length;r[kx-1]==0 && kx>ky;kx--); //kx is number of elements in normalized x, not including leading zeros |
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Add minifier script for otr.js and its dependencies
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parents:
diff
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|
920 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
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|
921 copyInt_(q,0); // q=0 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
922 while (!greaterShift(y,r,kx-ky)) { // while (leftShift_(y,kx-ky) <= r) { |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
923 subShift_(r,y,kx-ky); // r=r-leftShift_(y,kx-ky) |
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souliane <souliane@mailoo.org>
parents:
diff
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|
924 q[kx-ky]++; // q[kx-ky]++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
925 } // } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
926 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
927 for (i=kx-1; i>=ky; i--) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
928 if (r[i]==y[ky-1]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
929 q[i-ky]=mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
930 else |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
931 q[i-ky]=Math.floor((r[i]*radix+r[i-1])/y[ky-1]); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
932 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
933 //The following for(;;) loop is equivalent to the commented while loop, |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
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|
934 //except that the uncommented version avoids overflow. |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
935 //The commented loop comes from HAC, which assumes r[-1]==y[-1]==0 |
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souliane <souliane@mailoo.org>
parents:
diff
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936 // while (q[i-ky]*(y[ky-1]*radix+y[ky-2]) > r[i]*radix*radix+r[i-1]*radix+r[i-2]) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
937 // q[i-ky]--; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
938 for (;;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
939 y2=(ky>1 ? y[ky-2] : 0)*q[i-ky]; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
940 c=y2; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
941 y2=y2 & mask; |
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parents:
diff
changeset
|
942 c = (c - y2) / radix; |
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|
943 y1=c+q[i-ky]*y[ky-1]; |
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diff
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|
944 c=y1; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
945 y1=y1 & mask; |
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parents:
diff
changeset
|
946 c = (c - y1) / radix; |
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diff
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|
947 |
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parents:
diff
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|
948 if (c==r[i] ? y1==r[i-1] ? y2>(i>1 ? r[i-2] : 0) : y1>r[i-1] : c>r[i]) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
949 q[i-ky]--; |
1596660ddf72
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parents:
diff
changeset
|
950 else |
1596660ddf72
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parents:
diff
changeset
|
951 break; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
952 } |
1596660ddf72
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parents:
diff
changeset
|
953 |
1596660ddf72
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diff
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|
954 linCombShift_(r,y,-q[i-ky],i-ky); //r=r-q[i-ky]*leftShift_(y,i-ky) |
1596660ddf72
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diff
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|
955 if (negative(r)) { |
1596660ddf72
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parents:
diff
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|
956 addShift_(r,y,i-ky); //r=r+leftShift_(y,i-ky) |
1596660ddf72
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|
957 q[i-ky]--; |
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parents:
diff
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|
958 } |
1596660ddf72
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parents:
diff
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|
959 } |
1596660ddf72
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parents:
diff
changeset
|
960 |
1596660ddf72
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parents:
diff
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|
961 rightShift_(y,a); //undo the normalization step |
1596660ddf72
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diff
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|
962 rightShift_(r,a); //undo the normalization step |
1596660ddf72
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parents:
diff
changeset
|
963 } |
1596660ddf72
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parents:
diff
changeset
|
964 |
1596660ddf72
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diff
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|
965 //do carries and borrows so each element of the bigInt x fits in bpe bits. |
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parents:
diff
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|
966 function carry_(x) { |
1596660ddf72
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diff
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|
967 var i,k,c,b; |
1596660ddf72
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parents:
diff
changeset
|
968 k=x.length; |
1596660ddf72
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souliane <souliane@mailoo.org>
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diff
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|
969 c=0; |
1596660ddf72
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diff
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|
970 for (i=0;i<k;i++) { |
1596660ddf72
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diff
changeset
|
971 c+=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
972 b=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
973 if (c<0) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
974 b = c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
975 b = -((c - b) / radix); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
976 c+=b*radix; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
977 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
978 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
979 c = ((c - x[i]) / radix) - b; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
980 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
981 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
982 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
983 //return x mod n for bigInt x and integer n. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
984 function modInt(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
985 var i,c=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
986 for (i=x.length-1; i>=0; i--) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
987 c=(c*radix+x[i])%n; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
988 return c; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
989 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
990 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
991 //convert the integer t into a bigInt with at least the given number of bits. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
992 //the returned array stores the bigInt in bpe-bit chunks, little endian (buff[0] is least significant word) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
993 //Pad the array with leading zeros so that it has at least minSize elements. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
994 //There will always be at least one leading 0 element. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
995 function int2bigInt(t,bits,minSize) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
996 var i,k, buff; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
997 k=Math.ceil(bits/bpe)+1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
998 k=minSize>k ? minSize : k; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
999 buff=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1000 copyInt_(buff,t); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1001 return buff; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1002 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1003 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1004 //return the bigInt given a string representation in a given base. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1005 //Pad the array with leading zeros so that it has at least minSize elements. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1006 //If base=-1, then it reads in a space-separated list of array elements in decimal. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1007 //The array will always have at least one leading zero, unless base=-1. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1008 function str2bigInt(s,base,minSize) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1009 var d, i, j, x, y, kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1010 var k=s.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1011 if (base==-1) { //comma-separated list of array elements in decimal |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1012 x=new Array(0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1013 for (;;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1014 y=new Array(x.length+1); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1015 for (i=0;i<x.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1016 y[i+1]=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1017 y[0]=parseInt(s,10); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1018 x=y; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1019 d=s.indexOf(',',0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1020 if (d<1) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1021 break; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1022 s=s.substring(d+1); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1023 if (s.length==0) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1024 break; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1025 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1026 if (x.length<minSize) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1027 y=new Array(minSize); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1028 copy_(y,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1029 return y; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1030 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1031 return x; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1032 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1033 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1034 // log2(base)*k |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1035 var bb = base, p = 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1036 var b = base == 1 ? k : 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1037 while (bb > 1) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1038 if (bb & 1) p = 1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1039 b += k; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1040 bb >>= 1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1041 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1042 b += p*k; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1043 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1044 x=int2bigInt(0,b,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1045 for (i=0;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1046 d=digitsStr.indexOf(s.substring(i,i+1),0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1047 if (base<=36 && d>=36) //convert lowercase to uppercase if base<=36 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1048 d-=26; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1049 if (d>=base || d<0) { //stop at first illegal character |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1050 break; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1051 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1052 multInt_(x,base); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1053 addInt_(x,d); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1054 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1055 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1056 for (k=x.length;k>0 && !x[k-1];k--); //strip off leading zeros |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1057 k=minSize>k+1 ? minSize : k+1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1058 y=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1059 kk=k<x.length ? k : x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1060 for (i=0;i<kk;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1061 y[i]=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1062 for (;i<k;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1063 y[i]=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1064 return y; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1065 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1066 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1067 //is bigint x equal to integer y? |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1068 //y must have less than bpe bits |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1069 function equalsInt(x,y) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1070 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1071 if (x[0]!=y) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1072 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1073 for (i=1;i<x.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1074 if (x[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1075 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1076 return 1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1077 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1078 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1079 //are bigints x and y equal? |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1080 //this works even if x and y are different lengths and have arbitrarily many leading zeros |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1081 function equals(x,y) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1082 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1083 var k=x.length<y.length ? x.length : y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1084 for (i=0;i<k;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1085 if (x[i]!=y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1086 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1087 if (x.length>y.length) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1088 for (;i<x.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1089 if (x[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1090 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1091 } else { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1092 for (;i<y.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1093 if (y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1094 return 0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1095 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1096 return 1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1097 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1098 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1099 //is the bigInt x equal to zero? |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
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|
1100 function isZero(x) { |
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1101 var i; |
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|
1102 for (i=0;i<x.length;i++) |
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1103 if (x[i]) |
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1104 return 0; |
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parents:
diff
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|
1105 return 1; |
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parents:
diff
changeset
|
1106 } |
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parents:
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|
1107 |
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|
1108 //convert a bigInt into a string in a given base, from base 2 up to base 95. |
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parents:
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1109 //Base -1 prints the contents of the array representing the number. |
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1110 function bigInt2str(x,base) { |
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|
1111 var i,t,s=""; |
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|
1112 |
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Add minifier script for otr.js and its dependencies
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|
1113 if (s6.length!=x.length) |
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Add minifier script for otr.js and its dependencies
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|
1114 s6=dup(x); |
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diff
changeset
|
1115 else |
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Add minifier script for otr.js and its dependencies
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changeset
|
1116 copy_(s6,x); |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1117 |
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Add minifier script for otr.js and its dependencies
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|
1118 if (base==-1) { //return the list of array contents |
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parents:
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changeset
|
1119 for (i=x.length-1;i>0;i--) |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1120 s+=x[i]+','; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1121 s+=x[0]; |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1122 } |
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Add minifier script for otr.js and its dependencies
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parents:
diff
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|
1123 else { //return it in the given base |
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souliane <souliane@mailoo.org>
parents:
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|
1124 while (!isZero(s6)) { |
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souliane <souliane@mailoo.org>
parents:
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|
1125 t=divInt_(s6,base); //t=s6 % base; s6=floor(s6/base); |
1596660ddf72
Add minifier script for otr.js and its dependencies
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|
1126 s=digitsStr.substring(t,t+1)+s; |
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parents:
diff
changeset
|
1127 } |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1128 } |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1129 if (s.length==0) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1130 s="0"; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1131 return s; |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1132 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
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|
1133 |
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Add minifier script for otr.js and its dependencies
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diff
changeset
|
1134 //returns a duplicate of bigInt x |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1135 function dup(x) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1136 var i, buff; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
1137 buff=new Array(x.length); |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1138 copy_(buff,x); |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1139 return buff; |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1140 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1141 |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1142 //do x=y on bigInts x and y. x must be an array at least as big as y (not counting the leading zeros in y). |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1143 function copy_(x,y) { |
1596660ddf72
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parents:
diff
changeset
|
1144 var i; |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1145 var k=x.length<y.length ? x.length : y.length; |
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Add minifier script for otr.js and its dependencies
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parents:
diff
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|
1146 for (i=0;i<k;i++) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1147 x[i]=y[i]; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1148 for (i=k;i<x.length;i++) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1149 x[i]=0; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1150 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1151 |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1152 //do x=y on bigInt x and integer y. |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1153 function copyInt_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1154 var i,c; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1155 for (c=n,i=0;i<x.length;i++) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1156 x[i]=c & mask; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1157 c>>=bpe; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1158 } |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1159 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1160 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1161 //do x=x+n where x is a bigInt and n is an integer. |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1162 //x must be large enough to hold the result. |
1596660ddf72
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parents:
diff
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|
1163 function addInt_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1164 var i,k,c,b; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1165 x[0]+=n; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1166 k=x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1167 c=0; |
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souliane <souliane@mailoo.org>
parents:
diff
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|
1168 for (i=0;i<k;i++) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1169 c+=x[i]; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1170 b=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1171 if (c<0) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1172 b = c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1173 b = -((c - b) / radix); |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1174 c+=b*radix; |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1175 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1176 x[i]=c & mask; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
1177 c = ((c - x[i]) / radix) - b; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1178 if (!c) return; //stop carrying as soon as the carry is zero |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1179 } |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1180 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1181 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1182 //right shift bigInt x by n bits. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1183 function rightShift_(x,n) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1184 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1185 var k=Math.floor(n/bpe); |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1186 if (k) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1187 for (i=0;i<x.length-k;i++) //right shift x by k elements |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1188 x[i]=x[i+k]; |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1189 for (;i<x.length;i++) |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1190 x[i]=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1191 n%=bpe; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1192 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1193 for (i=0;i<x.length-1;i++) { |
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souliane <souliane@mailoo.org>
parents:
diff
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|
1194 x[i]=mask & ((x[i+1]<<(bpe-n)) | (x[i]>>n)); |
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parents:
diff
changeset
|
1195 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1196 x[i]>>=n; |
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parents:
diff
changeset
|
1197 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1198 |
1596660ddf72
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parents:
diff
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|
1199 //do x=floor(|x|/2)*sgn(x) for bigInt x in 2's complement |
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parents:
diff
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|
1200 function halve_(x) { |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1201 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1202 for (i=0;i<x.length-1;i++) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
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|
1203 x[i]=mask & ((x[i+1]<<(bpe-1)) | (x[i]>>1)); |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1204 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1205 x[i]=(x[i]>>1) | (x[i] & (radix>>1)); //most significant bit stays the same |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1206 } |
1596660ddf72
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parents:
diff
changeset
|
1207 |
1596660ddf72
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parents:
diff
changeset
|
1208 //left shift bigInt x by n bits. |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
1209 function leftShift_(x,n) { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1210 var i; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
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|
1211 var k=Math.floor(n/bpe); |
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parents:
diff
changeset
|
1212 if (k) { |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1213 for (i=x.length; i>=k; i--) //left shift x by k elements |
1596660ddf72
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parents:
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|
1214 x[i]=x[i-k]; |
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parents:
diff
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|
1215 for (;i>=0;i--) |
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parents:
diff
changeset
|
1216 x[i]=0; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1217 n%=bpe; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1218 } |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1219 if (!n) |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1220 return; |
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souliane <souliane@mailoo.org>
parents:
diff
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|
1221 for (i=x.length-1;i>0;i--) { |
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diff
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|
1222 x[i]=mask & ((x[i]<<n) | (x[i-1]>>(bpe-n))); |
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diff
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|
1223 } |
1596660ddf72
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parents:
diff
changeset
|
1224 x[i]=mask & (x[i]<<n); |
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parents:
diff
changeset
|
1225 } |
1596660ddf72
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parents:
diff
changeset
|
1226 |
1596660ddf72
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parents:
diff
changeset
|
1227 //do x=x*n where x is a bigInt and n is an integer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1228 //x must be large enough to hold the result. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1229 function multInt_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1230 var i,k,c,b; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1231 if (!n) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1232 return; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1233 k=x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1234 c=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1235 for (i=0;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1236 c+=x[i]*n; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1237 b=0; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1238 if (c<0) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1239 b = c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1240 b = -((c - b) / radix); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1241 c+=b*radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1242 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1243 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1244 c = ((c - x[i]) / radix) - b; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1245 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1246 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1247 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1248 //do x=floor(x/n) for bigInt x and integer n, and return the remainder |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1249 function divInt_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1250 var i,r=0,s; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1251 for (i=x.length-1;i>=0;i--) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1252 s=r*radix+x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1253 x[i]=Math.floor(s/n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1254 r=s%n; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1255 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1256 return r; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1257 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1258 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1259 //do the linear combination x=a*x+b*y for bigInts x and y, and integers a and b. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1260 //x must be large enough to hold the answer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1261 function linComb_(x,y,a,b) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1262 var i,c,k,kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1263 k=x.length<y.length ? x.length : y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1264 kk=x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1265 for (c=0,i=0;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1266 c+=a*x[i]+b*y[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1267 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1268 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1269 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1270 for (i=k;i<kk;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1271 c+=a*x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1272 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1273 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1274 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1275 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1276 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1277 //do the linear combination x=a*x+b*(y<<(ys*bpe)) for bigInts x and y, and integers a, b and ys. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1278 //x must be large enough to hold the answer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1279 function linCombShift_(x,y,b,ys) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1280 var i,c,k,kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1281 k=x.length<ys+y.length ? x.length : ys+y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1282 kk=x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1283 for (c=0,i=ys;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1284 c+=x[i]+b*y[i-ys]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1285 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1286 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1287 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1288 for (i=k;c && i<kk;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1289 c+=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1290 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1291 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1292 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1293 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1294 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1295 //do x=x+(y<<(ys*bpe)) for bigInts x and y, and integers a,b and ys. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1296 //x must be large enough to hold the answer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1297 function addShift_(x,y,ys) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1298 var i,c,k,kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1299 k=x.length<ys+y.length ? x.length : ys+y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1300 kk=x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1301 for (c=0,i=ys;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1302 c+=x[i]+y[i-ys]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1303 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1304 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1305 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1306 for (i=k;c && i<kk;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1307 c+=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1308 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1309 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1310 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1311 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1312 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1313 //do x=x-(y<<(ys*bpe)) for bigInts x and y, and integers a,b and ys. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1314 //x must be large enough to hold the answer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1315 function subShift_(x,y,ys) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1316 var i,c,k,kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1317 k=x.length<ys+y.length ? x.length : ys+y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1318 kk=x.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1319 for (c=0,i=ys;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1320 c+=x[i]-y[i-ys]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1321 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1322 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1323 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1324 for (i=k;c && i<kk;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1325 c+=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1326 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1327 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1328 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1329 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1330 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1331 //do x=x-y for bigInts x and y. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1332 //x must be large enough to hold the answer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1333 //negative answers will be 2s complement |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1334 function sub_(x,y) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1335 var i,c,k,kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1336 k=x.length<y.length ? x.length : y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1337 for (c=0,i=0;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1338 c+=x[i]-y[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1339 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1340 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1341 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1342 for (i=k;c && i<x.length;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1343 c+=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1344 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1345 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1346 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1347 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1348 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1349 //do x=x+y for bigInts x and y. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1350 //x must be large enough to hold the answer. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1351 function add_(x,y) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1352 var i,c,k,kk; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1353 k=x.length<y.length ? x.length : y.length; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1354 for (c=0,i=0;i<k;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1355 c+=x[i]+y[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1356 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1357 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1358 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1359 for (i=k;c && i<x.length;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1360 c+=x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1361 x[i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1362 c = (c - x[i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1363 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1364 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1365 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1366 //do x=x*y for bigInts x and y. This is faster when y<x. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1367 function mult_(x,y) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1368 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1369 if (ss.length!=2*x.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1370 ss=new Array(2*x.length); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1371 copyInt_(ss,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1372 for (i=0;i<y.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1373 if (y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1374 linCombShift_(ss,x,y[i],i); //ss=1*ss+y[i]*(x<<(i*bpe)) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1375 copy_(x,ss); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1376 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1377 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1378 //do x=x mod n for bigInts x and n. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1379 function mod_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1380 if (s4.length!=x.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1381 s4=dup(x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1382 else |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1383 copy_(s4,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1384 if (s5.length!=x.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1385 s5=dup(x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1386 divide_(s4,n,s5,x); //x = remainder of s4 / n |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1387 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1388 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1389 //do x=x*y mod n for bigInts x,y,n. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1390 //for greater speed, let y<x. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1391 function multMod_(x,y,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1392 var i; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1393 if (s0.length!=2*x.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1394 s0=new Array(2*x.length); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1395 copyInt_(s0,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1396 for (i=0;i<y.length;i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1397 if (y[i]) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1398 linCombShift_(s0,x,y[i],i); //s0=1*s0+y[i]*(x<<(i*bpe)) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1399 mod_(s0,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1400 copy_(x,s0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1401 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1402 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1403 //do x=x*x mod n for bigInts x,n. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1404 function squareMod_(x,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1405 var i,j,d,c,kx,kn,k; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1406 for (kx=x.length; kx>0 && !x[kx-1]; kx--); //ignore leading zeros in x |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1407 k=kx>n.length ? 2*kx : 2*n.length; //k=# elements in the product, which is twice the elements in the larger of x and n |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1408 if (s0.length!=k) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1409 s0=new Array(k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1410 copyInt_(s0,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1411 for (i=0;i<kx;i++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1412 c=s0[2*i]+x[i]*x[i]; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1413 s0[2*i]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1414 c = (c - s0[2*i]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1415 for (j=i+1;j<kx;j++) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1416 c=s0[i+j]+2*x[i]*x[j]+c; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1417 s0[i+j]=(c & mask); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1418 c = (c - s0[i+j]) / radix; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1419 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1420 s0[i+kx]=c; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1421 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1422 mod_(s0,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1423 copy_(x,s0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1424 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1425 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1426 //return x with exactly k leading zero elements |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1427 function trim(x,k) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1428 var i,y; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1429 for (i=x.length; i>0 && !x[i-1]; i--); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1430 y=new Array(i+k); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1431 copy_(y,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1432 return y; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1433 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1434 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1435 //do x=x**y mod n, where x,y,n are bigInts and ** is exponentiation. 0**0=1. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1436 //this is faster when n is odd. x usually needs to have as many elements as n. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1437 function powMod_(x,y,n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1438 var k1,k2,kn,np; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1439 if(s7.length!=n.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1440 s7=dup(n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1441 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1442 //for even modulus, use a simple square-and-multiply algorithm, |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1443 //rather than using the more complex Montgomery algorithm. |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1444 if ((n[0]&1)==0) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1445 copy_(s7,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1446 copyInt_(x,1); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1447 while(!equalsInt(y,0)) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1448 if (y[0]&1) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1449 multMod_(x,s7,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1450 divInt_(y,2); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1451 squareMod_(s7,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1452 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1453 return; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1454 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1455 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1456 //calculate np from n for the Montgomery multiplications |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1457 copyInt_(s7,0); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1458 for (kn=n.length;kn>0 && !n[kn-1];kn--); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1459 np=radix-inverseModInt(modInt(n,radix),radix); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1460 s7[kn]=1; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1461 multMod_(x ,s7,n); // x = x * 2**(kn*bp) mod n |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1462 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1463 if (s3.length!=x.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1464 s3=dup(x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1465 else |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1466 copy_(s3,x); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1467 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1468 for (k1=y.length-1;k1>0 & !y[k1]; k1--); //k1=first nonzero element of y |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1469 if (y[k1]==0) { //anything to the 0th power is 1 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1470 copyInt_(x,1); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1471 return; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1472 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1473 for (k2=1<<(bpe-1);k2 && !(y[k1] & k2); k2>>=1); //k2=position of first 1 bit in y[k1] |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1474 for (;;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1475 if (!(k2>>=1)) { //look at next bit of y |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1476 k1--; |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1477 if (k1<0) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1478 mont_(x,one,n,np); |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1479 return; |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1480 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1481 k2=1<<(bpe-1); |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1482 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1483 mont_(x,x,n,np); |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1484 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1485 if (k2 & y[k1]) //if next bit is a 1 |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1486 mont_(x,s3,n,np); |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1487 } |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1488 } |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1489 |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1490 |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1491 //do x=x*y*Ri mod n for bigInts x,y,n, |
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parents:
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changeset
|
1492 // where Ri = 2**(-kn*bpe) mod n, and kn is the |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1493 // number of elements in the n array, not |
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parents:
diff
changeset
|
1494 // counting leading zeros. |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1495 //x array must have at least as many elemnts as the n array |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1496 //It's OK if x and y are the same variable. |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1497 //must have: |
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parents:
diff
changeset
|
1498 // x,y < n |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1499 // n is odd |
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parents:
diff
changeset
|
1500 // np = -(n^(-1)) mod radix |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1501 function mont_(x,y,n,np) { |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1502 var i,j,c,ui,t,t2,ks; |
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parents:
diff
changeset
|
1503 var kn=n.length; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1504 var ky=y.length; |
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parents:
diff
changeset
|
1505 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1506 if (sa.length!=kn) |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1507 sa=new Array(kn); |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1508 |
1596660ddf72
Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1509 copyInt_(sa,0); |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1510 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1511 for (;kn>0 && n[kn-1]==0;kn--); //ignore leading zeros of n |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1512 for (;ky>0 && y[ky-1]==0;ky--); //ignore leading zeros of y |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1513 ks=sa.length-1; //sa will never have more than this many nonzero elements. |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1514 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1515 //the following loop consumes 95% of the runtime for randTruePrime_() and powMod_() for large numbers |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1516 for (i=0; i<kn; i++) { |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1517 t=sa[0]+x[i]*y[0]; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1518 ui=((t & mask) * np) & mask; //the inner "& mask" was needed on Safari (but not MSIE) at one time |
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Add minifier script for otr.js and its dependencies
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parents:
diff
changeset
|
1519 c=(t+ui*n[0]); |
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parents:
diff
changeset
|
1520 c = (c - (c & mask)) / radix; |
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parents:
diff
changeset
|
1521 t=x[i]; |
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parents:
diff
changeset
|
1522 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1523 //do sa=(sa+x[i]*y+ui*n)/b where b=2**bpe. Loop is unrolled 5-fold for speed |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1524 j=1; |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1525 for (;j<ky-4;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1526 c+=sa[j]+ui*n[j]+t*y[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1527 c+=sa[j]+ui*n[j]+t*y[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
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parents:
diff
changeset
|
1528 c+=sa[j]+ui*n[j]+t*y[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1529 c+=sa[j]+ui*n[j]+t*y[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1530 c+=sa[j]+ui*n[j]+t*y[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1531 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1532 for (;j<ky;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1533 c+=sa[j]+ui*n[j]+t*y[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1534 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1535 for (;j<kn-4;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1536 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1537 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1538 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1539 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1540 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1541 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1542 for (;j<kn;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1543 c+=sa[j]+ui*n[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1544 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1545 for (;j<ks;) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1546 c+=sa[j]; t2=sa[j-1]=c & mask; c=(c-t2)/radix; j++; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1547 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1548 sa[j-1]=c & mask; |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1549 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1550 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1551 if (!greater(n,sa)) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1552 sub_(sa,n); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1553 copy_(x,sa); |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1554 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1555 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1556 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1557 // otr.js additions |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1558 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1559 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1560 // computes num / den mod n |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1561 function divMod(num, den, n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1562 return multMod(num, inverseMod(den, n), n) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1563 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1564 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1565 // computes one - two mod n |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1566 function subMod(one, two, n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1567 one = mod(one, n) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1568 two = mod(two, n) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1569 if (greater(two, one)) one = add(one, n) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1570 return sub(one, two) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1571 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1572 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1573 // computes 2^m as a bigInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1574 function twoToThe(m) { |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1575 var b = Math.floor(m / bpe) + 2 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1576 var t = new Array(b) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1577 for (var i = 0; i < b; i++) t[i] = 0 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1578 t[b - 2] = 1 << (m % bpe) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1579 return t |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1580 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1581 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1582 // cache these results for faster lookup |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1583 var _num2bin = (function () { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1584 var i = 0, _num2bin= {} |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1585 for (; i < 0x100; ++i) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1586 _num2bin[i] = String.fromCharCode(i) // 0 -> "\00" |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1587 } |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1588 return _num2bin |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1589 }()) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1590 |
1596660ddf72
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parents:
diff
changeset
|
1591 // serialize a bigInt to an ascii string |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1592 // padded up to pad length |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1593 function bigInt2bits(bi, pad) { |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1594 pad || (pad = 0) |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1595 bi = dup(bi) |
1596660ddf72
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1596 var ba = '' |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1597 while (!isZero(bi)) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1598 ba = _num2bin[bi[0] & 0xff] + ba |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1599 rightShift_(bi, 8) |
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souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1600 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1601 while (ba.length < pad) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1602 ba = '\x00' + ba |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1603 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1604 return ba |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1605 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1606 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1607 // converts a byte array to a bigInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1608 function ba2bigInt(data) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1609 var mpi = str2bigInt('0', 10, data.length) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1610 data.forEach(function (d, i) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1611 if (i) leftShift_(mpi, 8) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1612 mpi[0] |= d |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1613 }) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1614 return mpi |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1615 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1616 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1617 // returns a function that returns an array of n bytes |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1618 var randomBytes = (function () { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1619 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1620 // in node |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1621 if ( typeof crypto !== 'undefined' && |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1622 typeof crypto.randomBytes === 'function' ) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1623 return function (n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1624 try { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1625 var buf = crypto.randomBytes(n) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1626 } catch (e) { throw e } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1627 return Array.prototype.slice.call(buf, 0) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1628 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1629 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1630 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1631 // in browser |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1632 else if ( typeof crypto !== 'undefined' && |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1633 typeof crypto.getRandomValues === 'function' ) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1634 return function (n) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1635 var buf = new Uint8Array(n) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1636 crypto.getRandomValues(buf) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1637 return Array.prototype.slice.call(buf, 0) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1638 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1639 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1640 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1641 // err |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1642 else { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1643 throw new Error('Keys should not be generated without CSPRNG.') |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1644 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1645 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1646 }()) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1647 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1648 // Salsa 20 in webworker needs a 40 byte seed |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1649 function getSeed() { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1650 return randomBytes(40) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1651 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1652 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1653 // returns a single random byte |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1654 function randomByte() { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1655 return randomBytes(1)[0] |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1656 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1657 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1658 // returns a k-bit random integer |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1659 function randomBitInt(k) { |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1660 if (k > 31) throw new Error("Too many bits.") |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1661 var i = 0, r = 0 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1662 var b = Math.floor(k / 8) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1663 var mask = (1 << (k % 8)) - 1 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1664 if (mask) r = randomByte() & mask |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1665 for (; i < b; i++) |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1666 r = (256 * r) + randomByte() |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1667 return r |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1668 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1669 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1670 return { |
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Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1671 str2bigInt : str2bigInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1672 , bigInt2str : bigInt2str |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1673 , int2bigInt : int2bigInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1674 , multMod : multMod |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1675 , powMod : powMod |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1676 , inverseMod : inverseMod |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1677 , randBigInt : randBigInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1678 , randBigInt_ : randBigInt_ |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1679 , equals : equals |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1680 , equalsInt : equalsInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1681 , sub : sub |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1682 , mod : mod |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1683 , modInt : modInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1684 , mult : mult |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1685 , divInt_ : divInt_ |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1686 , rightShift_ : rightShift_ |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1687 , dup : dup |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1688 , greater : greater |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1689 , add : add |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1690 , isZero : isZero |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1691 , bitSize : bitSize |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1692 , millerRabin : millerRabin |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1693 , divide_ : divide_ |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1694 , trim : trim |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1695 , primes : primes |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1696 , findPrimes : findPrimes |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1697 , getSeed : getSeed |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1698 , divMod : divMod |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1699 , subMod : subMod |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1700 , twoToThe : twoToThe |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1701 , bigInt2bits : bigInt2bits |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1702 , ba2bigInt : ba2bigInt |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1703 } |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1704 |
1596660ddf72
Add minifier script for otr.js and its dependencies
souliane <souliane@mailoo.org>
parents:
diff
changeset
|
1705 })) |