diff --git a/CHANGELOG.md b/CHANGELOG.md index 9cb2a3bc4..dd907674c 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -1,6 +1,12 @@ Forge ChangeLog =============== +## 1.4.0 - 2026-xx-xx + +### Changed +- [jsbn] Update to `jsbn` 1.4. Sync partly back to original style for easier + updates every decade or so. + ## 1.3.3 - 2025-12-02 ### Fixed diff --git a/lib/jsbn.js b/lib/jsbn.js index 11f965c56..c9ac3c709 100644 --- a/lib/jsbn.js +++ b/lib/jsbn.js @@ -124,10 +124,12 @@ if(typeof(navigator) === 'undefined') } else if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) { BigInteger.prototype.am = am2; dbits = 30; -} else if(j_lm && (navigator.appName != "Netscape")) { +} +else if(j_lm && (navigator.appName != "Netscape")) { BigInteger.prototype.am = am1; dbits = 26; -} else { // Mozilla/Netscape seems to prefer am3 +} +else { // Mozilla/Netscape seems to prefer am3 BigInteger.prototype.am = am3; dbits = 28; } @@ -202,7 +204,8 @@ function bnpFromString(s,b) { else if(sh+k > this.DB) { this.data[this.t-1] |= (x&((1<<(this.DB-sh))-1))<>(this.DB-sh)); - } else + } + else this.data[this.t-1] |= x<= this.DB) sh -= this.DB; @@ -239,7 +242,8 @@ function bnToString(b) { if(p < k) { d = (this.data[i]&((1<>(p+=this.DB-k); - } else { + } + else { d = (this.data[i]>>(p-=k))&km; if(p <= 0) { p += this.DB; --i; } } @@ -351,7 +355,8 @@ function bnpSubTo(a,r) { c >>= this.DB; } c += this.s; - } else { + } + else { c += this.s; while(i < a.t) { c -= a.data[i]; @@ -411,7 +416,8 @@ function bnpDivRemTo(m,q,r) { if(r == null) r = nbi(); var y = nbi(), ts = this.s, ms = m.s; var nsh = this.DB-nbits(pm.data[pm.t-1]); // normalize modulus - if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); } else { pm.copyTo(y); pt.copyTo(r); } + if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); } + else { pm.copyTo(y); pt.copyTo(r); } var ys = y.t; var y0 = y.data[ys-1]; if(y0 == 0) return; @@ -608,326 +614,335 @@ BigInteger.ONE = nbv(1); // jsbn2 lib -//Copyright (c) 2005-2009 Tom Wu -//All Rights Reserved. -//See "LICENSE" for details (See jsbn.js for LICENSE). +// Copyright (c) 2005-2009 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details (See jsbn.js for LICENSE). -//Extended JavaScript BN functions, required for RSA private ops. +// Extended JavaScript BN functions, required for RSA private ops. -//Version 1.1: new BigInteger("0", 10) returns "proper" zero +// Version 1.1: new BigInteger("0", 10) returns "proper" zero +// Version 1.2: square() API, isProbablePrime fix -//(public) +// (public) function bnClone() { var r = nbi(); this.copyTo(r); return r; } -//(public) return value as integer +// (public) return value as integer function bnIntValue() { -if(this.s < 0) { - if(this.t == 1) return this.data[0]-this.DV; - else if(this.t == 0) return -1; -} else if(this.t == 1) return this.data[0]; -else if(this.t == 0) return 0; -// assumes 16 < DB < 32 -return ((this.data[1]&((1<<(32-this.DB))-1))<>24; } -//(public) return value as short (assumes DB>=16) +// (public) return value as short (assumes DB>=16) function bnShortValue() { return (this.t==0)?this.s:(this.data[0]<<16)>>16; } -//(protected) return x s.t. r^x < DV +// (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 +// (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.data[0] <= 0)) return 0; -else return 1; + if(this.s < 0) return -1; + else if(this.t <= 0 || (this.t == 1 && this.data[0] <= 0)) return 0; + else return 1; } -//(protected) convert to radix string +// (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; + 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 +// (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 + 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< 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< 0) { - if(p < this.DB && (d = this.data[i]>>p) != (this.s&this.DM)>>p) - r[k++] = d|(this.s<<(this.DB-p)); - while(i >= 0) { - if(p < 8) { - d = (this.data[i]&((1<>(p+=this.DB-8); - } else { - d = (this.data[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; + 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.data[i]>>p) != (this.s&this.DM)>>p) + r[k++] = d|(this.s<<(this.DB-p)); + while(i >= 0) { + if(p < 8) { + d = (this.data[i]&((1<>(p+=this.DB-8); + } + else { + d = (this.data[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) +// (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.data[i] = op(this.data[i],a.data[i]); -if(a.t < this.t) { - f = a.s&this.DM; - for(i = m; i < this.t; ++i) r.data[i] = op(this.data[i],f); - r.t = this.t; -} else { - f = this.s&this.DM; - for(i = m; i < a.t; ++i) r.data[i] = op(f,a.data[i]); - r.t = a.t; -} -r.s = op(this.s,a.s); -r.clamp(); -} - -//(public) this & a + var i, f, m = Math.min(a.t,this.t); + for(i = 0; i < m; ++i) r.data[i] = op(this.data[i],a.data[i]); + if(a.t < this.t) { + f = a.s&this.DM; + for(i = m; i < this.t; ++i) r.data[i] = op(this.data[i],f); + r.t = this.t; + } + else { + f = this.s&this.DM; + for(i = m; i < a.t; ++i) r.data[i] = op(f,a.data[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 +// (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 +// (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 +// (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 +// (public) ~this function bnNot() { -var r = nbi(); -for(var i = 0; i < this.t; ++i) r.data[i] = this.DM&~this.data[i]; -r.t = this.t; -r.s = ~this.s; -return r; + var r = nbi(); + for(var i = 0; i < this.t; ++i) r.data[i] = this.DM&~this.data[i]; + r.t = this.t; + r.s = ~this.s; + return r; } -//(public) this << n +// (public) this << n function bnShiftLeft(n) { -var r = nbi(); -if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r); -return r; + var r = nbi(); + if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r); + return r; } -//(public) this >> n +// (public) this >> n function bnShiftRight(n) { -var r = nbi(); -if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r); -return r; + 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 +// 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; + 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) +// (public) returns index of lowest 1-bit (or -1 if none) function bnGetLowestSetBit() { -for(var i = 0; i < this.t; ++i) - if(this.data[i] != 0) return i*this.DB+lbit(this.data[i]); -if(this.s < 0) return this.t*this.DB; -return -1; + for(var i = 0; i < this.t; ++i) + if(this.data[i] != 0) return i*this.DB+lbit(this.data[i]); + if(this.s < 0) return this.t*this.DB; + return -1; } -//return number of 1 bits in x +// return number of 1 bits in x function cbit(x) { -var r = 0; -while(x != 0) { x &= x-1; ++r; } -return r; + var r = 0; + while(x != 0) { x &= x-1; ++r; } + return r; } -//(public) return number of set bits +// (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.data[i]^x); -return r; + var r = 0, x = this.s&this.DM; + for(var i = 0; i < this.t; ++i) r += cbit(this.data[i]^x); + return r; } -//(public) true iff nth bit is set +// (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.data[j]&(1<<(n%this.DB)))!=0); + var j = Math.floor(n/this.DB); + if(j >= this.t) return(this.s!=0); + return((this.data[j]&(1<<(n%this.DB)))!=0); } -//(protected) this op (1<>= this.DB; -} -if(a.t < this.t) { - c += a.s; - while(i < this.t) { - c += this.data[i]; - r.data[i++] = c&this.DM; - c >>= this.DB; - } - c += this.s; -} else { - c += this.s; - while(i < a.t) { - c += a.data[i]; - r.data[i++] = c&this.DM; - c >>= this.DB; - } - c += a.s; -} -r.s = (c<0)?-1:0; -if(c > 0) r.data[i++] = c; -else if(c < -1) r.data[i++] = this.DV+c; -r.t = i; -r.clamp(); -} - -//(public) this + a + var i = 0, c = 0, m = Math.min(a.t,this.t); + while(i < m) { + c += this.data[i]+a.data[i]; + r.data[i++] = c&this.DM; + c >>= this.DB; + } + if(a.t < this.t) { + c += a.s; + while(i < this.t) { + c += this.data[i]; + r.data[i++] = c&this.DM; + c >>= this.DB; + } + c += this.s; + } + else { + c += this.s; + while(i < a.t) { + c += a.data[i]; + r.data[i++] = c&this.DM; + c >>= this.DB; + } + c += a.s; + } + r.s = (c<0)?-1:0; + if(c > 0) r.data[i++] = c; + else if(c < -1) r.data[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 +// (public) this - a function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; } -//(public) this * a +// (public) this * a function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; } -//(public) this / a +// (public) this^2 +function bnSquare() { var r = nbi(); this.squareTo(r); return r; } + +// (public) this / a function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; } -//(public) this % a +// (public) this % a function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; } -//(public) [this/a,this%a] +// (public) [this/a,this%a] function bnDivideAndRemainder(a) { -var q = nbi(), r = nbi(); -this.divRemTo(a,q,r); -return new Array(q,r); + var q = nbi(), r = nbi(); + this.divRemTo(a,q,r); + return new Array(q,r); } -//(protected) this *= n, this >= 0, 1 < n < DV +// (protected) this *= n, this >= 0, 1 < n < DV function bnpDMultiply(n) { -this.data[this.t] = this.am(0,n-1,this,0,0,this.t); -++this.t; -this.clamp(); + this.data[this.t] = this.am(0,n-1,this,0,0,this.t); + ++this.t; + this.clamp(); } -//(protected) this += n << w words, this >= 0 +// (protected) this += n << w words, this >= 0 function bnpDAddOffset(n,w) { -if(n == 0) return; -while(this.t <= w) this.data[this.t++] = 0; -this.data[w] += n; -while(this.data[w] >= this.DV) { - this.data[w] -= this.DV; - if(++w >= this.t) this.data[this.t++] = 0; - ++this.data[w]; -} + if(n == 0) return; + while(this.t <= w) this.data[this.t++] = 0; + this.data[w] += n; + while(this.data[w] >= this.DV) { + this.data[w] -= this.DV; + if(++w >= this.t) this.data[this.t++] = 0; + ++this.data[w]; + } } -//A "null" reducer +// A "null" reducer function NullExp() {} function nNop(x) { return x; } function nMulTo(x,y,r) { x.multiplyTo(y,r); } @@ -938,68 +953,68 @@ NullExp.prototype.revert = nNop; NullExp.prototype.mulTo = nMulTo; NullExp.prototype.sqrTo = nSqrTo; -//(public) this^e +// (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. +// (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.data[--i] = 0; -var j; -for(j = r.t-this.t; i < j; ++i) r.data[i+this.t] = this.am(0,a.data[i],r,i,0,this.t); -for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a.data[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. + var i = Math.min(this.t+a.t,n); + r.s = 0; // assumes a,this >= 0 + r.t = i; + while(i > 0) r.data[--i] = 0; + var j; + for(j = r.t-this.t; i < j; ++i) r.data[i+this.t] = this.am(0,a.data[i],r,i,0,this.t); + for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a.data[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.data[i] = 0; -for(i = Math.max(n-this.t,0); i < a.t; ++i) - r.data[this.t+i-n] = this.am(n-i,a.data[i],r,0,0,this.t+i-n); -r.clamp(); -r.drShiftTo(1,r); + --n; + var i = r.t = this.t+a.t-n; + r.s = 0; // assumes a,this >= 0 + while(--i >= 0) r.data[i] = 0; + for(i = Math.max(n-this.t,0); i < a.t; ++i) + r.data[this.t+i-n] = this.am(n-i,a.data[i],r,0,0,this.t+i-n); + r.clamp(); + r.drShiftTo(1,r); } -//Barrett modular reduction +// 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; + // 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; } + 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) +// 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); + 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 +// 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 +// r = x*y mod m; x,y != r function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } Barrett.prototype.convert = barrettConvert; @@ -1008,187 +1023,192 @@ Barrett.prototype.reduce = barrettReduce; Barrett.prototype.mulTo = barrettMulTo; Barrett.prototype.sqrTo = barrettSqrTo; -//(public) this^e % m (HAC 14.85) +// (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< 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.data[j])-1; -while(j >= 0) { - if(i >= k1) w = (e.data[j]>>(i-k1))&km; - else { - w = (e.data[j]&((1<<(i+1))-1))<<(k1-i); - if(j > 0) w |= e.data[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.data[j]&(1< 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.data[j])-1; + while(j >= 0) { + if(i >= k1) w = (e.data[j]>>(i-k1))&km; + else { + w = (e.data[j]&((1<<(i+1))-1))<<(k1-i); + if(j > 0) w |= e.data[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.data[j]&(1< 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 + 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.data[0]%n; - else for(var i = this.t-1; i >= 0; --i) r = (d*r+this.data[i])%n; -return r; + 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.data[0]%n; + else for(var i = this.t-1; i >= 0; --i) r = (d*r+this.data[i])%n; + return r; } -//(public) 1/this % m (HAC 14.61) +// (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 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 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997]; var lplim = (1<<26)/lowprimes[lowprimes.length-1]; -//(public) test primality with certainty >= 1-.5^t +// (public) test primality with certainty >= 1-.5^t function bnIsProbablePrime(t) { -var i, x = this.abs(); -if(x.t == 1 && x.data[0] <= lowprimes[lowprimes.length-1]) { - for(i = 0; i < lowprimes.length; ++i) - if(x.data[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); + var i, x = this.abs(); + if(x.t == 1 && x.data[0] <= lowprimes[lowprimes.length-1]) { + for(i = 0; i < lowprimes.length; ++i) + if(x.data[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) +// (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); -var prng = bnGetPrng(); -var a; -for(var i = 0; i < t; ++i) { - // select witness 'a' at random from between 1 and n1 - do { - a = new BigInteger(this.bitLength(), prng); - } - while(a.compareTo(BigInteger.ONE) <= 0 || a.compareTo(n1) >= 0); - 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; + var n1 = this.subtract(BigInteger.ONE); + var k = n1.getLowestSetBit(); + if(k <= 0) return false; + var r = n1.shiftRight(k); + var prng = bnGetPrng(); + var a; + for(var i = 0; i < t; ++i) { + // select witness 'a' at random from between 1 and n1 + do { + a = new BigInteger(this.bitLength(), prng); + } + while(a.compareTo(BigInteger.ONE) <= 0 || a.compareTo(n1) >= 0); + 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; } // get pseudo random number generator @@ -1204,7 +1224,7 @@ function bnGetPrng() { }; } -//protected +// protected BigInteger.prototype.chunkSize = bnpChunkSize; BigInteger.prototype.toRadix = bnpToRadix; BigInteger.prototype.fromRadix = bnpFromRadix; @@ -1219,7 +1239,7 @@ BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo; BigInteger.prototype.modInt = bnpModInt; BigInteger.prototype.millerRabin = bnpMillerRabin; -//public +// public BigInteger.prototype.clone = bnClone; BigInteger.prototype.intValue = bnIntValue; BigInteger.prototype.byteValue = bnByteValue; @@ -1254,11 +1274,14 @@ BigInteger.prototype.pow = bnPow; BigInteger.prototype.gcd = bnGCD; BigInteger.prototype.isProbablePrime = bnIsProbablePrime; -//BigInteger interfaces not implemented in jsbn: +// JSBN-specific extension +BigInteger.prototype.square = bnSquare; + +// BigInteger interfaces not implemented in jsbn: -//BigInteger(int signum, byte[] magnitude) -//double doubleValue() -//float floatValue() -//int hashCode() -//long longValue() -//static BigInteger valueOf(long val) +// BigInteger(int signum, byte[] magnitude) +// double doubleValue() +// float floatValue() +// int hashCode() +// long longValue() +// static BigInteger valueOf(long val)