diff options
author | ausiv4 <ausiv4@eb105b4a-77de-11de-a249-6bf219df57d5> | 2009-07-24 13:57:46 +0000 |
---|---|---|
committer | ausiv4 <ausiv4@eb105b4a-77de-11de-a249-6bf219df57d5> | 2009-07-24 13:57:46 +0000 |
commit | 40fd75696b548d18057a289e849be98dd2af12dd (patch) | |
tree | 33ba504f1f4f84d9703f1229e26a085dc5a118a3 /proper-random/javascript/jsbn2.js | |
parent | 0cb5d281c18588c3b6567e8773ebad8acdb263a9 (diff) |
Not what I meant to do...
Diffstat (limited to 'proper-random/javascript/jsbn2.js')
-rw-r--r-- | proper-random/javascript/jsbn2.js | 645 |
1 files changed, 645 insertions, 0 deletions
diff --git a/proper-random/javascript/jsbn2.js b/proper-random/javascript/jsbn2.js new file mode 100644 index 0000000..cad0d7b --- /dev/null +++ b/proper-random/javascript/jsbn2.js @@ -0,0 +1,645 @@ +// Copyright (c) 2005 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Extended JavaScript BN functions, required for RSA private ops. + +// (public) +function bnClone() { var r = nbi(); this.copyTo(r); return r; } + +// (public) return value as integer +function bnIntValue() { + if(this.s < 0) { + if(this.t == 1) return this[0]-this.DV; + else if(this.t == 0) return -1; + } + else if(this.t == 1) return this[0]; + else if(this.t == 0) return 0; + // assumes 16 < DB < 32 + return ((this[1]&((1<<(32-this.DB))-1))<<this.DB)|this[0]; +} + +// (public) return value as byte +function bnByteValue() { return (this.t==0)?this.s:(this[0]<<24)>>24; } + +// (public) return value as short (assumes DB>=16) +function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; } + +// (protected) return x s.t. r^x < DV +function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); } + +// (public) 0 if this == 0, 1 if this > 0 +function bnSigNum() { + if(this.s < 0) return -1; + else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0; + else return 1; +} + +// (protected) convert to radix string +function bnpToRadix(b) { + if(b == null) b = 10; + if(this.signum() == 0 || b < 2 || b > 36) return "0"; + var cs = this.chunkSize(b); + var a = Math.pow(b,cs); + var d = nbv(a), y = nbi(), z = nbi(), r = ""; + this.divRemTo(d,y,z); + while(y.signum() > 0) { + r = (a+z.intValue()).toString(b).substr(1) + r; + y.divRemTo(d,y,z); + } + return z.intValue().toString(b) + r; +} + +// (protected) convert from radix string +function bnpFromRadix(s,b) { + this.fromInt(0); + if(b == null) b = 10; + var cs = this.chunkSize(b); + var d = Math.pow(b,cs), mi = false, j = 0, w = 0; + for(var i = 0; i < s.length; ++i) { + var x = intAt(s,i); + if(x < 0) { + if(s.charAt(i) == "-" && this.signum() == 0) mi = true; + continue; + } + w = b*w+x; + if(++j >= cs) { + this.dMultiply(d); + this.dAddOffset(w,0); + j = 0; + w = 0; + } + } + if(j > 0) { + this.dMultiply(Math.pow(b,j)); + this.dAddOffset(w,0); + } + if(mi) BigInteger.ZERO.subTo(this,this); +} + +// (protected) alternate constructor +function bnpFromNumber(a,b,c) { + if("number" == typeof b) { + // new BigInteger(int,int,RNG) + if(a < 2) this.fromInt(1); + else { + this.fromNumber(a,c); + if(!this.testBit(a-1)) // force MSB set + this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this); + if(this.isEven()) this.dAddOffset(1,0); // force odd + while(!this.isProbablePrime(b)) { + this.dAddOffset(2,0); + if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this); + } + } + } + else { + // new BigInteger(int,RNG) + var x = new Array(), t = a&7; + x.length = (a>>3)+1; + b.nextBytes(x); + if(t > 0) x[0] &= ((1<<t)-1); else x[0] = 0; + this.fromString(x,256); + } +} + +// (public) convert to bigendian byte array +function bnToByteArray() { + var i = this.t, r = new Array(); + r[0] = this.s; + var p = this.DB-(i*this.DB)%8, d, k = 0; + if(i-- > 0) { + if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p) + r[k++] = d|(this.s<<(this.DB-p)); + while(i >= 0) { + if(p < 8) { + d = (this[i]&((1<<p)-1))<<(8-p); + d |= this[--i]>>(p+=this.DB-8); + } + else { + d = (this[i]>>(p-=8))&0xff; + if(p <= 0) { p += this.DB; --i; } + } + if((d&0x80) != 0) d |= -256; + if(k == 0 && (this.s&0x80) != (d&0x80)) ++k; + if(k > 0 || d != this.s) r[k++] = d; + } + } + return r; +} + +function bnEquals(a) { return(this.compareTo(a)==0); } +function bnMin(a) { return(this.compareTo(a)<0)?this:a; } +function bnMax(a) { return(this.compareTo(a)>0)?this:a; } + +// (protected) r = this op a (bitwise) +function bnpBitwiseTo(a,op,r) { + var i, f, m = Math.min(a.t,this.t); + for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]); + if(a.t < this.t) { + f = a.s&this.DM; + for(i = m; i < this.t; ++i) r[i] = op(this[i],f); + r.t = this.t; + } + else { + f = this.s&this.DM; + for(i = m; i < a.t; ++i) r[i] = op(f,a[i]); + r.t = a.t; + } + r.s = op(this.s,a.s); + r.clamp(); +} + +// (public) this & a +function op_and(x,y) { return x&y; } +function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; } + +// (public) this | a +function op_or(x,y) { return x|y; } +function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; } + +// (public) this ^ a +function op_xor(x,y) { return x^y; } +function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; } + +// (public) this & ~a +function op_andnot(x,y) { return x&~y; } +function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; } + +// (public) ~this +function bnNot() { + var r = nbi(); + for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i]; + r.t = this.t; + r.s = ~this.s; + return r; +} + +// (public) this << n +function bnShiftLeft(n) { + var r = nbi(); + if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r); + return r; +} + +// (public) this >> n +function bnShiftRight(n) { + var r = nbi(); + if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r); + return r; +} + +// return index of lowest 1-bit in x, x < 2^31 +function lbit(x) { + if(x == 0) return -1; + var r = 0; + if((x&0xffff) == 0) { x >>= 16; r += 16; } + if((x&0xff) == 0) { x >>= 8; r += 8; } + if((x&0xf) == 0) { x >>= 4; r += 4; } + if((x&3) == 0) { x >>= 2; r += 2; } + if((x&1) == 0) ++r; + return r; +} + +// (public) returns index of lowest 1-bit (or -1 if none) +function bnGetLowestSetBit() { + for(var i = 0; i < this.t; ++i) + if(this[i] != 0) return i*this.DB+lbit(this[i]); + if(this.s < 0) return this.t*this.DB; + return -1; +} + +// return number of 1 bits in x +function cbit(x) { + var r = 0; + while(x != 0) { x &= x-1; ++r; } + return r; +} + +// (public) return number of set bits +function bnBitCount() { + var r = 0, x = this.s&this.DM; + for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x); + return r; +} + +// (public) true iff nth bit is set +function bnTestBit(n) { + var j = Math.floor(n/this.DB); + if(j >= this.t) return(this.s!=0); + return((this[j]&(1<<(n%this.DB)))!=0); +} + +// (protected) this op (1<<n) +function bnpChangeBit(n,op) { + var r = BigInteger.ONE.shiftLeft(n); + this.bitwiseTo(r,op,r); + return r; +} + +// (public) this | (1<<n) +function bnSetBit(n) { return this.changeBit(n,op_or); } + +// (public) this & ~(1<<n) +function bnClearBit(n) { return this.changeBit(n,op_andnot); } + +// (public) this ^ (1<<n) +function bnFlipBit(n) { return this.changeBit(n,op_xor); } + +// (protected) r = this + a +function bnpAddTo(a,r) { + var i = 0, c = 0, m = Math.min(a.t,this.t); + while(i < m) { + c += this[i]+a[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + if(a.t < this.t) { + c += a.s; + while(i < this.t) { + c += this[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += this.s; + } + else { + c += this.s; + while(i < a.t) { + c += a[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += a.s; + } + r.s = (c<0)?-1:0; + if(c > 0) r[i++] = c; + else if(c < -1) r[i++] = this.DV+c; + r.t = i; + r.clamp(); +} + +// (public) this + a +function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; } + +// (public) this - a +function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; } + +// (public) this * a +function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; } + +// (public) this / a +function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; } + +// (public) this % a +function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; } + +// (public) [this/a,this%a] +function bnDivideAndRemainder(a) { + var q = nbi(), r = nbi(); + this.divRemTo(a,q,r); + return new Array(q,r); +} + +// (protected) this *= n, this >= 0, 1 < n < DV +function bnpDMultiply(n) { + this[this.t] = this.am(0,n-1,this,0,0,this.t); + ++this.t; + this.clamp(); +} + +// (protected) this += n << w words, this >= 0 +function bnpDAddOffset(n,w) { + while(this.t <= w) this[this.t++] = 0; + this[w] += n; + while(this[w] >= this.DV) { + this[w] -= this.DV; + if(++w >= this.t) this[this.t++] = 0; + ++this[w]; + } +} + +// A "null" reducer +function NullExp() {} +function nNop(x) { return x; } +function nMulTo(x,y,r) { x.multiplyTo(y,r); } +function nSqrTo(x,r) { x.squareTo(r); } + +NullExp.prototype.convert = nNop; +NullExp.prototype.revert = nNop; +NullExp.prototype.mulTo = nMulTo; +NullExp.prototype.sqrTo = nSqrTo; + +// (public) this^e +function bnPow(e) { return this.exp(e,new NullExp()); } + +// (protected) r = lower n words of "this * a", a.t <= n +// "this" should be the larger one if appropriate. +function bnpMultiplyLowerTo(a,n,r) { + var i = Math.min(this.t+a.t,n); + r.s = 0; // assumes a,this >= 0 + r.t = i; + while(i > 0) r[--i] = 0; + var j; + for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t); + for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i); + r.clamp(); +} + +// (protected) r = "this * a" without lower n words, n > 0 +// "this" should be the larger one if appropriate. +function bnpMultiplyUpperTo(a,n,r) { + --n; + var i = r.t = this.t+a.t-n; + r.s = 0; // assumes a,this >= 0 + while(--i >= 0) r[i] = 0; + for(i = Math.max(n-this.t,0); i < a.t; ++i) + r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n); + r.clamp(); + r.drShiftTo(1,r); +} + +// Barrett modular reduction +function Barrett(m) { + // setup Barrett + this.r2 = nbi(); + this.q3 = nbi(); + BigInteger.ONE.dlShiftTo(2*m.t,this.r2); + this.mu = this.r2.divide(m); + this.m = m; +} + +function barrettConvert(x) { + if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m); + else if(x.compareTo(this.m) < 0) return x; + else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; } +} + +function barrettRevert(x) { return x; } + +// x = x mod m (HAC 14.42) +function barrettReduce(x) { + x.drShiftTo(this.m.t-1,this.r2); + if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); } + this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3); + this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2); + while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1); + x.subTo(this.r2,x); + while(x.compareTo(this.m) >= 0) x.subTo(this.m,x); +} + +// r = x^2 mod m; x != r +function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +// r = x*y mod m; x,y != r +function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } + +Barrett.prototype.convert = barrettConvert; +Barrett.prototype.revert = barrettRevert; +Barrett.prototype.reduce = barrettReduce; +Barrett.prototype.mulTo = barrettMulTo; +Barrett.prototype.sqrTo = barrettSqrTo; + +// (public) this^e % m (HAC 14.85) +function bnModPow(e,m) { + var i = e.bitLength(), k, r = nbv(1), z; + if(i <= 0) return r; + else if(i < 18) k = 1; + else if(i < 48) k = 3; + else if(i < 144) k = 4; + else if(i < 768) k = 5; + else k = 6; + if(i < 8) + z = new Classic(m); + else if(m.isEven()) + z = new Barrett(m); + else + z = new Montgomery(m); + + // precomputation + var g = new Array(), n = 3, k1 = k-1, km = (1<<k)-1; + g[1] = z.convert(this); + if(k > 1) { + var g2 = nbi(); + z.sqrTo(g[1],g2); + while(n <= km) { + g[n] = nbi(); + z.mulTo(g2,g[n-2],g[n]); + n += 2; + } + } + + var j = e.t-1, w, is1 = true, r2 = nbi(), t; + i = nbits(e[j])-1; + while(j >= 0) { + if(i >= k1) w = (e[j]>>(i-k1))&km; + else { + w = (e[j]&((1<<(i+1))-1))<<(k1-i); + if(j > 0) w |= e[j-1]>>(this.DB+i-k1); + } + + n = k; + while((w&1) == 0) { w >>= 1; --n; } + if((i -= n) < 0) { i += this.DB; --j; } + if(is1) { // ret == 1, don't bother squaring or multiplying it + g[w].copyTo(r); + is1 = false; + } + else { + while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; } + if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; } + z.mulTo(r2,g[w],r); + } + + while(j >= 0 && (e[j]&(1<<i)) == 0) { + z.sqrTo(r,r2); t = r; r = r2; r2 = t; + if(--i < 0) { i = this.DB-1; --j; } + } + } + return z.revert(r); +} + +// (public) gcd(this,a) (HAC 14.54) +function bnGCD(a) { + var x = (this.s<0)?this.negate():this.clone(); + var y = (a.s<0)?a.negate():a.clone(); + if(x.compareTo(y) < 0) { var t = x; x = y; y = t; } + var i = x.getLowestSetBit(), g = y.getLowestSetBit(); + if(g < 0) return x; + if(i < g) g = i; + if(g > 0) { + x.rShiftTo(g,x); + y.rShiftTo(g,y); + } + while(x.signum() > 0) { + if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x); + if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y); + if(x.compareTo(y) >= 0) { + x.subTo(y,x); + x.rShiftTo(1,x); + } + else { + y.subTo(x,y); + y.rShiftTo(1,y); + } + } + if(g > 0) y.lShiftTo(g,y); + return y; +} + +// (protected) this % n, n < 2^26 +function bnpModInt(n) { + if(n <= 0) return 0; + var d = this.DV%n, r = (this.s<0)?n-1:0; + if(this.t > 0) + if(d == 0) r = this[0]%n; + else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n; + return r; +} + +// (public) 1/this % m (HAC 14.61) +function bnModInverse(m) { + var ac = m.isEven(); + if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO; + var u = m.clone(), v = this.clone(); + var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1); + while(u.signum() != 0) { + while(u.isEven()) { + u.rShiftTo(1,u); + if(ac) { + if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); } + a.rShiftTo(1,a); + } + else if(!b.isEven()) b.subTo(m,b); + b.rShiftTo(1,b); + } + while(v.isEven()) { + v.rShiftTo(1,v); + if(ac) { + if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); } + c.rShiftTo(1,c); + } + else if(!d.isEven()) d.subTo(m,d); + d.rShiftTo(1,d); + } + if(u.compareTo(v) >= 0) { + u.subTo(v,u); + if(ac) a.subTo(c,a); + b.subTo(d,b); + } + else { + v.subTo(u,v); + if(ac) c.subTo(a,c); + d.subTo(b,d); + } + } + if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO; + if(d.compareTo(m) >= 0) return d.subtract(m); + if(d.signum() < 0) d.addTo(m,d); else return d; + if(d.signum() < 0) return d.add(m); else return d; +} + +var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509]; +var lplim = (1<<26)/lowprimes[lowprimes.length-1]; + +// (public) test primality with certainty >= 1-.5^t +function bnIsProbablePrime(t) { + var i, x = this.abs(); + if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) { + for(i = 0; i < lowprimes.length; ++i) + if(x[0] == lowprimes[i]) return true; + return false; + } + if(x.isEven()) return false; + i = 1; + while(i < lowprimes.length) { + var m = lowprimes[i], j = i+1; + while(j < lowprimes.length && m < lplim) m *= lowprimes[j++]; + m = x.modInt(m); + while(i < j) if(m%lowprimes[i++] == 0) return false; + } + return x.millerRabin(t); +} + +// (protected) true if probably prime (HAC 4.24, Miller-Rabin) +function bnpMillerRabin(t) { + var n1 = this.subtract(BigInteger.ONE); + var k = n1.getLowestSetBit(); + if(k <= 0) return false; + var r = n1.shiftRight(k); + t = (t+1)>>1; + if(t > lowprimes.length) t = lowprimes.length; + var a = nbi(); + for(var i = 0; i < t; ++i) { + a.fromInt(lowprimes[i]); + var y = a.modPow(r,this); + if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) { + var j = 1; + while(j++ < k && y.compareTo(n1) != 0) { + y = y.modPowInt(2,this); + if(y.compareTo(BigInteger.ONE) == 0) return false; + } + if(y.compareTo(n1) != 0) return false; + } + } + return true; +} + +// protected +BigInteger.prototype.chunkSize = bnpChunkSize; +BigInteger.prototype.toRadix = bnpToRadix; +BigInteger.prototype.fromRadix = bnpFromRadix; +BigInteger.prototype.fromNumber = bnpFromNumber; +BigInteger.prototype.bitwiseTo = bnpBitwiseTo; +BigInteger.prototype.changeBit = bnpChangeBit; +BigInteger.prototype.addTo = bnpAddTo; +BigInteger.prototype.dMultiply = bnpDMultiply; +BigInteger.prototype.dAddOffset = bnpDAddOffset; +BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo; +BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo; +BigInteger.prototype.modInt = bnpModInt; +BigInteger.prototype.millerRabin = bnpMillerRabin; + +// public +BigInteger.prototype.clone = bnClone; +BigInteger.prototype.intValue = bnIntValue; +BigInteger.prototype.byteValue = bnByteValue; +BigInteger.prototype.shortValue = bnShortValue; +BigInteger.prototype.signum = bnSigNum; +BigInteger.prototype.toByteArray = bnToByteArray; +BigInteger.prototype.equals = bnEquals; +BigInteger.prototype.min = bnMin; +BigInteger.prototype.max = bnMax; +BigInteger.prototype.and = bnAnd; +BigInteger.prototype.or = bnOr; +BigInteger.prototype.xor = bnXor; +BigInteger.prototype.andNot = bnAndNot; +BigInteger.prototype.not = bnNot; +BigInteger.prototype.shiftLeft = bnShiftLeft; +BigInteger.prototype.shiftRight = bnShiftRight; +BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit; +BigInteger.prototype.bitCount = bnBitCount; +BigInteger.prototype.testBit = bnTestBit; +BigInteger.prototype.setBit = bnSetBit; +BigInteger.prototype.clearBit = bnClearBit; +BigInteger.prototype.flipBit = bnFlipBit; +BigInteger.prototype.add = bnAdd; +BigInteger.prototype.subtract = bnSubtract; +BigInteger.prototype.multiply = bnMultiply; +BigInteger.prototype.divide = bnDivide; +BigInteger.prototype.remainder = bnRemainder; +BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder; +BigInteger.prototype.modPow = bnModPow; +BigInteger.prototype.modInverse = bnModInverse; +BigInteger.prototype.pow = bnPow; +BigInteger.prototype.gcd = bnGCD; +BigInteger.prototype.isProbablePrime = bnIsProbablePrime; + +// BigInteger interfaces not implemented in jsbn: + +// BigInteger(int signum, byte[] magnitude) +// double doubleValue() +// float floatValue() +// int hashCode() +// long longValue() +// static BigInteger valueOf(long val) |