From eed1ebe354bd84b04071796dcb1e3d8b36d43b33 Mon Sep 17 00:00:00 2001 From: Hao Wang Date: Thu, 17 Mar 2016 23:17:48 -0700 Subject: [PATCH] initial commit --- .gitignore | 3 + __tests__/index.spec.js | 34 ++ index.js | 3 + lib/jsbn.js | 1221 +++++++++++++++++++++++++++++++++++++++ lib/rng.js | 125 ++++ lib/rsa.js | 280 +++++++++ package.json | 27 + 7 files changed, 1693 insertions(+) create mode 100644 .gitignore create mode 100644 __tests__/index.spec.js create mode 100644 index.js create mode 100644 lib/jsbn.js create mode 100644 lib/rng.js create mode 100644 lib/rsa.js create mode 100644 package.json diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..3ac7d16 --- /dev/null +++ b/.gitignore @@ -0,0 +1,3 @@ +.idea/ +.DS_Store +node_modules/ diff --git a/__tests__/index.spec.js b/__tests__/index.spec.js new file mode 100644 index 0000000..c531e02 --- /dev/null +++ b/__tests__/index.spec.js @@ -0,0 +1,34 @@ +'use strict'; +jest.autoMockOff(); + +var RSAKey = require('../index.js'); +const publicKey = '{"n":"860d193f420329a5db6cd7eee62f8dbdc710fbbfb87065f6a05de5b5a25af6320889767f7809d8fa167c0df1142bd329033407af06e51482bec5854e9af121a914402aff868589ef7db7924e478a2bed38d7367e4338ca23f57b6214e7bfcfd43102eb85570c7bfd1a3442909878cb82047227371d5cd8d7c7190332ebff0a6f","e":"10001"}'; + +const privateKey = '{"n":"860d193f420329a5db6cd7eee62f8dbdc710fbbfb87065f6a05de5b5a25af6320889767f7809d8fa167c0df1142bd329033407af06e51482bec5854e9af121a914402aff868589ef7db7924e478a2bed38d7367e4338ca23f57b6214e7bfcfd43102eb85570c7bfd1a3442909878cb82047227371d5cd8d7c7190332ebff0a6f","e":"10001","d":"30ae6114cfec461bad6c019f08890c7876ea7c024c00c586a306767d57d0a0c7dac1d0fec9a109e3087754b8d0127a44d29cfa8d5d7ba3cf376893d8cffbf1b4e6b33177d09ce0bd8a61b1661ccc828fd5ec65a7fb58f5960cbb5e85c44db1bf117c96bdfdaa220ffae415db689d0bea080f4e6c644156ecf643e7437e122301","p":"c1211509d92f269b070c4df3dada4a57f821a1fbcae230e60f354ab5af1ceb2651f526678f88e473fcf3347472c385b6b631ad1ebc705ca13d8f735aa3da639f","q":"b1b0986137bdfa6890d62a5e3aebf38554066dd36ec6cc5dcc9d91cf3a7dffa5d5767daaaebaecdff8cfa1f33428e02db4611b3a56f761201bba4b02d1c36731","dmp1":"66cc792a58d4643438b82ff61114086672c95433767697989d97bc40a1093f9192266f5ec86411563bda289da348b7afdda2eb8764be5a4fe938a62a24f565f9","dmq1":"60fb9c0fe3d6c327f3759126614e8b59c824c228d69b96cbd3746533101fd93af0297e297cb8f5b4c11ec2abf55a2211901438423d59441fbc428fd2781f08e1","coeff":"30065dadc7da627b6c564f6ece12040a18b7073822620f2cda8093e7083be82a1fa9f9922543b4c650750d8040ee6dda4ec67fbf161b6eb501bb1ee7f2079635"}'; + +describe('RSA Key', function () { + it('generate', function () { + const bits = 1024; + const exponent = '10001'; // must be a string + var rsa = new RSAKey(); + var r = rsa.generate(bits, exponent); + var publicKey1 = rsa.n.toString(16); + var privateKey1 = rsa.d.toString(16); + expect(publicKey1.length).toBeLessThan(bits / 4 + 1); + expect(privateKey1.length).toBeLessThan(bits / 4 + 1); + }); + + it('encrypt decrypt', function () { + var rsa = new RSAKey(); + var publicKeyObj = JSON.parse(publicKey); + rsa.setPublic(publicKeyObj.n, publicKeyObj.e); + var originText = 'sample String Value'; + var encrypted = rsa.encrypt(originText); + + // start decrypt + var privateKeyObj = JSON.parse(privateKey); + rsa.setPrivateEx(privateKeyObj); + var decrypted = rsa.decrypt(encrypted); + expect(decrypted).toEqual(originText); + }); +}); \ No newline at end of file diff --git a/index.js b/index.js new file mode 100644 index 0000000..18193fb --- /dev/null +++ b/index.js @@ -0,0 +1,3 @@ +var RSAKey = require('./lib/rsa.js'); + +module.exports = RSAKey; \ No newline at end of file diff --git a/lib/jsbn.js b/lib/jsbn.js new file mode 100644 index 0000000..43b1190 --- /dev/null +++ b/lib/jsbn.js @@ -0,0 +1,1221 @@ +// Copyright (c) 2005 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Basic JavaScript BN library - subset useful for RSA encryption. + +// Bits per digit +var dbits; + +// JavaScript engine analysis +var canary = 0xdeadbeefcafe; +var j_lm = ((canary&0xffffff)==0xefcafe); + +// (public) Constructor +function BigInteger(a,b,c) { + if(a != null) + if("number" == typeof a) this.fromNumber(a,b,c); + else if(b == null && "string" != typeof a) this.fromString(a,256); + else this.fromString(a,b); +} + +// return new, unset BigInteger +function nbi() { return new BigInteger(null); } + +// am: Compute w_j += (x*this_i), propagate carries, +// c is initial carry, returns final carry. +// c < 3*dvalue, x < 2*dvalue, this_i < dvalue +// We need to select the fastest one that works in this environment. + +// am1: use a single mult and divide to get the high bits, +// max digit bits should be 26 because +// max internal value = 2*dvalue^2-2*dvalue (< 2^53) +function am1(i,x,w,j,c,n) { + while(--n >= 0) { + var v = x*this[i++]+w[j]+c; + c = Math.floor(v/0x4000000); + w[j++] = v&0x3ffffff; + } + return c; +} +// am2 avoids a big mult-and-extract completely. +// Max digit bits should be <= 30 because we do bitwise ops +// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31) +function am2(i,x,w,j,c,n) { + var xl = x&0x7fff, xh = x>>15; + while(--n >= 0) { + var l = this[i]&0x7fff; + var h = this[i++]>>15; + var m = xh*l+h*xl; + l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff); + c = (l>>>30)+(m>>>15)+xh*h+(c>>>30); + w[j++] = l&0x3fffffff; + } + return c; +} +// Alternately, set max digit bits to 28 since some +// browsers slow down when dealing with 32-bit numbers. +function am3(i,x,w,j,c,n) { + var xl = x&0x3fff, xh = x>>14; + while(--n >= 0) { + var l = this[i]&0x3fff; + var h = this[i++]>>14; + var m = xh*l+h*xl; + l = xl*l+((m&0x3fff)<<14)+w[j]+c; + c = (l>>28)+(m>>14)+xh*h; + w[j++] = l&0xfffffff; + } + return c; +} +if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) { + BigInteger.prototype.am = am2; + dbits = 30; +} +else if(j_lm && (navigator.appName != "Netscape")) { + BigInteger.prototype.am = am1; + dbits = 26; +} +else { // Mozilla/Netscape seems to prefer am3 + BigInteger.prototype.am = am3; + dbits = 28; +} + +BigInteger.prototype.DB = dbits; +BigInteger.prototype.DM = ((1<= 0; --i) r[i] = this[i]; + r.t = this.t; + r.s = this.s; +} + +// (protected) set from integer value x, -DV <= x < DV +function bnpFromInt(x) { + this.t = 1; + this.s = (x<0)?-1:0; + if(x > 0) this[0] = x; + else if(x < -1) this[0] = x+this.DV; + else this.t = 0; +} + +// return bigint initialized to value +function nbv(i) { var r = nbi(); r.fromInt(i); return r; } + +// (protected) set from string and radix +function bnpFromString(s,b) { + var k; + if(b == 16) k = 4; + else if(b == 8) k = 3; + else if(b == 256) k = 8; // byte array + else if(b == 2) k = 1; + else if(b == 32) k = 5; + else if(b == 4) k = 2; + else { this.fromRadix(s,b); return; } + this.t = 0; + this.s = 0; + var i = s.length, mi = false, sh = 0; + while(--i >= 0) { + var x = (k==8)?s[i]&0xff:intAt(s,i); + if(x < 0) { + if(s.charAt(i) == "-") mi = true; + continue; + } + mi = false; + if(sh == 0) + this[this.t++] = x; + else if(sh+k > this.DB) { + this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<>(this.DB-sh)); + } + else + this[this.t-1] |= x<= this.DB) sh -= this.DB; + } + if(k == 8 && (s[0]&0x80) != 0) { + this.s = -1; + if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)< 0 && this[this.t-1] == c) --this.t; +} + +// (public) return string representation in given radix +function bnToString(b) { + if(this.s < 0) return "-"+this.negate().toString(b); + var k; + if(b == 16) k = 4; + else if(b == 8) k = 3; + else if(b == 2) k = 1; + else if(b == 32) k = 5; + else if(b == 4) k = 2; + else return this.toRadix(b); + var km = (1< 0) { + if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); } + while(i >= 0) { + if(p < k) { + d = (this[i]&((1<>(p+=this.DB-k); + } + else { + d = (this[i]>>(p-=k))&km; + if(p <= 0) { p += this.DB; --i; } + } + if(d > 0) m = true; + if(m) r += int2char(d); + } + } + return m?r:"0"; +} + +// (public) -this +function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; } + +// (public) |this| +function bnAbs() { return (this.s<0)?this.negate():this; } + +// (public) return + if this > a, - if this < a, 0 if equal +function bnCompareTo(a) { + var r = this.s-a.s; + if(r != 0) return r; + var i = this.t; + r = i-a.t; + if(r != 0) return (this.s<0)?-r:r; + while(--i >= 0) if((r=this[i]-a[i]) != 0) return r; + return 0; +} + +// returns bit length of the integer x +function nbits(x) { + var r = 1, t; + if((t=x>>>16) != 0) { x = t; r += 16; } + if((t=x>>8) != 0) { x = t; r += 8; } + if((t=x>>4) != 0) { x = t; r += 4; } + if((t=x>>2) != 0) { x = t; r += 2; } + if((t=x>>1) != 0) { x = t; r += 1; } + return r; +} + +// (public) return the number of bits in "this" +function bnBitLength() { + if(this.t <= 0) return 0; + return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM)); +} + +// (protected) r = this << n*DB +function bnpDLShiftTo(n,r) { + var i; + for(i = this.t-1; i >= 0; --i) r[i+n] = this[i]; + for(i = n-1; i >= 0; --i) r[i] = 0; + r.t = this.t+n; + r.s = this.s; +} + +// (protected) r = this >> n*DB +function bnpDRShiftTo(n,r) { + for(var i = n; i < this.t; ++i) r[i-n] = this[i]; + r.t = Math.max(this.t-n,0); + r.s = this.s; +} + +// (protected) r = this << n +function bnpLShiftTo(n,r) { + var bs = n%this.DB; + var cbs = this.DB-bs; + var bm = (1<= 0; --i) { + r[i+ds+1] = (this[i]>>cbs)|c; + c = (this[i]&bm)<= 0; --i) r[i] = 0; + r[ds] = c; + r.t = this.t+ds+1; + r.s = this.s; + r.clamp(); +} + +// (protected) r = this >> n +function bnpRShiftTo(n,r) { + r.s = this.s; + var ds = Math.floor(n/this.DB); + if(ds >= this.t) { r.t = 0; return; } + var bs = n%this.DB; + var cbs = this.DB-bs; + var bm = (1<>bs; + for(var i = ds+1; i < this.t; ++i) { + r[i-ds-1] |= (this[i]&bm)<>bs; + } + if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<>= 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 < -1) r[i++] = this.DV+c; + else if(c > 0) r[i++] = c; + r.t = i; + r.clamp(); +} + +// (protected) r = this * a, r != this,a (HAC 14.12) +// "this" should be the larger one if appropriate. +function bnpMultiplyTo(a,r) { + var x = this.abs(), y = a.abs(); + var i = x.t; + r.t = i+y.t; + while(--i >= 0) r[i] = 0; + for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t); + r.s = 0; + r.clamp(); + if(this.s != a.s) BigInteger.ZERO.subTo(r,r); +} + +// (protected) r = this^2, r != this (HAC 14.16) +function bnpSquareTo(r) { + var x = this.abs(); + var i = r.t = 2*x.t; + while(--i >= 0) r[i] = 0; + for(i = 0; i < x.t-1; ++i) { + var c = x.am(i,x[i],r,2*i,0,1); + if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) { + r[i+x.t] -= x.DV; + r[i+x.t+1] = 1; + } + } + if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1); + r.s = 0; + r.clamp(); +} + +// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20) +// r != q, this != m. q or r may be null. +function bnpDivRemTo(m,q,r) { + var pm = m.abs(); + if(pm.t <= 0) return; + var pt = this.abs(); + if(pt.t < pm.t) { + if(q != null) q.fromInt(0); + if(r != null) this.copyTo(r); + return; + } + if(r == null) r = nbi(); + var y = nbi(), ts = this.s, ms = m.s; + var nsh = this.DB-nbits(pm[pm.t-1]); // normalize modulus + 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[ys-1]; + if(y0 == 0) return; + var yt = y0*(1<1)?y[ys-2]>>this.F2:0); + var d1 = this.FV/yt, d2 = (1<= 0) { + r[r.t++] = 1; + r.subTo(t,r); + } + BigInteger.ONE.dlShiftTo(ys,t); + t.subTo(y,y); // "negative" y so we can replace sub with am later + while(y.t < ys) y[y.t++] = 0; + while(--j >= 0) { + // Estimate quotient digit + var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2); + if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out + y.dlShiftTo(j,t); + r.subTo(t,r); + while(r[i] < --qd) r.subTo(t,r); + } + } + if(q != null) { + r.drShiftTo(ys,q); + if(ts != ms) BigInteger.ZERO.subTo(q,q); + } + r.t = ys; + r.clamp(); + if(nsh > 0) r.rShiftTo(nsh,r); // Denormalize remainder + if(ts < 0) BigInteger.ZERO.subTo(r,r); +} + +// (public) this mod a +function bnMod(a) { + var r = nbi(); + this.abs().divRemTo(a,null,r); + if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r); + return r; +} + +// Modular reduction using "classic" algorithm +function Classic(m) { this.m = m; } +function cConvert(x) { + if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m); + else return x; +} +function cRevert(x) { return x; } +function cReduce(x) { x.divRemTo(this.m,null,x); } +function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } +function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +Classic.prototype.convert = cConvert; +Classic.prototype.revert = cRevert; +Classic.prototype.reduce = cReduce; +Classic.prototype.mulTo = cMulTo; +Classic.prototype.sqrTo = cSqrTo; + +// (protected) return "-1/this % 2^DB"; useful for Mont. reduction +// justification: +// xy == 1 (mod m) +// xy = 1+km +// xy(2-xy) = (1+km)(1-km) +// x[y(2-xy)] = 1-k^2m^2 +// x[y(2-xy)] == 1 (mod m^2) +// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2 +// should reduce x and y(2-xy) by m^2 at each step to keep size bounded. +// JS multiply "overflows" differently from C/C++, so care is needed here. +function bnpInvDigit() { + if(this.t < 1) return 0; + var x = this[0]; + if((x&1) == 0) return 0; + var y = x&3; // y == 1/x mod 2^2 + y = (y*(2-(x&0xf)*y))&0xf; // y == 1/x mod 2^4 + y = (y*(2-(x&0xff)*y))&0xff; // y == 1/x mod 2^8 + y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff; // y == 1/x mod 2^16 + // last step - calculate inverse mod DV directly; + // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints + y = (y*(2-x*y%this.DV))%this.DV; // y == 1/x mod 2^dbits + // we really want the negative inverse, and -DV < y < DV + return (y>0)?this.DV-y:-y; +} + +// Montgomery reduction +function Montgomery(m) { + this.m = m; + this.mp = m.invDigit(); + this.mpl = this.mp&0x7fff; + this.mph = this.mp>>15; + this.um = (1<<(m.DB-15))-1; + this.mt2 = 2*m.t; +} + +// xR mod m +function montConvert(x) { + var r = nbi(); + x.abs().dlShiftTo(this.m.t,r); + r.divRemTo(this.m,null,r); + if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r); + return r; +} + +// x/R mod m +function montRevert(x) { + var r = nbi(); + x.copyTo(r); + this.reduce(r); + return r; +} + +// x = x/R mod m (HAC 14.32) +function montReduce(x) { + while(x.t <= this.mt2) // pad x so am has enough room later + x[x.t++] = 0; + for(var i = 0; i < this.m.t; ++i) { + // faster way of calculating u0 = x[i]*mp mod DV + var j = x[i]&0x7fff; + var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM; + // use am to combine the multiply-shift-add into one call + j = i+this.m.t; + x[j] += this.m.am(0,u0,x,i,0,this.m.t); + // propagate carry + while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; } + } + x.clamp(); + x.drShiftTo(this.m.t,x); + if(x.compareTo(this.m) >= 0) x.subTo(this.m,x); +} + +// r = "x^2/R mod m"; x != r +function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +// r = "xy/R mod m"; x,y != r +function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } + +Montgomery.prototype.convert = montConvert; +Montgomery.prototype.revert = montRevert; +Montgomery.prototype.reduce = montReduce; +Montgomery.prototype.mulTo = montMulTo; +Montgomery.prototype.sqrTo = montSqrTo; + +// (protected) true iff this is even +function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; } + +// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79) +function bnpExp(e,z) { + if(e > 0xffffffff || e < 1) return BigInteger.ONE; + var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1; + g.copyTo(r); + while(--i >= 0) { + z.sqrTo(r,r2); + if((e&(1< 0) z.mulTo(r2,g,r); + else { var t = r; r = r2; r2 = t; } + } + return z.revert(r); +} + +// (public) this^e % m, 0 <= e < 2^32 +function bnModPowInt(e,m) { + var z; + if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m); + return this.exp(e,z); +} + +// protected +BigInteger.prototype.copyTo = bnpCopyTo; +BigInteger.prototype.fromInt = bnpFromInt; +BigInteger.prototype.fromString = bnpFromString; +BigInteger.prototype.clamp = bnpClamp; +BigInteger.prototype.dlShiftTo = bnpDLShiftTo; +BigInteger.prototype.drShiftTo = bnpDRShiftTo; +BigInteger.prototype.lShiftTo = bnpLShiftTo; +BigInteger.prototype.rShiftTo = bnpRShiftTo; +BigInteger.prototype.subTo = bnpSubTo; +BigInteger.prototype.multiplyTo = bnpMultiplyTo; +BigInteger.prototype.squareTo = bnpSquareTo; +BigInteger.prototype.divRemTo = bnpDivRemTo; +BigInteger.prototype.invDigit = bnpInvDigit; +BigInteger.prototype.isEven = bnpIsEven; +BigInteger.prototype.exp = bnpExp; + +// public +BigInteger.prototype.toString = bnToString; +BigInteger.prototype.negate = bnNegate; +BigInteger.prototype.abs = bnAbs; +BigInteger.prototype.compareTo = bnCompareTo; +BigInteger.prototype.bitLength = bnBitLength; +BigInteger.prototype.mod = bnMod; +BigInteger.prototype.modPowInt = bnModPowInt; + +// "constants" +BigInteger.ZERO = nbv(0); +BigInteger.ONE = nbv(1); + +// Starting jsbn2.js + +// Copyright (c) 2005-2009 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Extended JavaScript BN functions, required for RSA private ops. + +// Version 1.1: new BigInteger("0", 10) returns "proper" zero +// Version 1.2: square() API, isProbablePrime fix + +// (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))<>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< 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+=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<>= 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^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 +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) { + if(n == 0) return; + 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< 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< 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 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997]; +var lplim = (1<<26)/lowprimes[lowprimes.length-1]; + +// (public) test primality with certainty >= 1-.5^t +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) { + //Pick bases at random, instead of starting at 2 + a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]); + 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; + +// 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) + + +module.exports = BigInteger; \ No newline at end of file diff --git a/lib/rng.js b/lib/rng.js new file mode 100644 index 0000000..f64b946 --- /dev/null +++ b/lib/rng.js @@ -0,0 +1,125 @@ +// prng4.js - uses Arcfour as a PRNG + +function Arcfour() { + this.i = 0; + this.j = 0; + this.S = new Array(); +} + +// Initialize arcfour context from key, an array of ints, each from [0..255] +function ARC4init(key) { + var i, j, t; + for(i = 0; i < 256; ++i) + this.S[i] = i; + j = 0; + for(i = 0; i < 256; ++i) { + j = (j + this.S[i] + key[i % key.length]) & 255; + t = this.S[i]; + this.S[i] = this.S[j]; + this.S[j] = t; + } + this.i = 0; + this.j = 0; +} + +function ARC4next() { + var t; + this.i = (this.i + 1) & 255; + this.j = (this.j + this.S[this.i]) & 255; + t = this.S[this.i]; + this.S[this.i] = this.S[this.j]; + this.S[this.j] = t; + return this.S[(t + this.S[this.i]) & 255]; +} + +Arcfour.prototype.init = ARC4init; +Arcfour.prototype.next = ARC4next; + +// Plug in your RNG constructor here +function prng_newstate() { + return new Arcfour(); +} + +// Pool size must be a multiple of 4 and greater than 32. +// An array of bytes the size of the pool will be passed to init() +var rng_psize = 256; + +// rng.js + +// Random number generator - requires a PRNG backend, e.g. prng4.js + +// For best results, put code like +// +// in your main HTML document. + +var rng_state; +var rng_pool; +var rng_pptr; + +// Mix in a 32-bit integer into the pool +function rng_seed_int(x) { + rng_pool[rng_pptr++] ^= x & 255; + rng_pool[rng_pptr++] ^= (x >> 8) & 255; + rng_pool[rng_pptr++] ^= (x >> 16) & 255; + rng_pool[rng_pptr++] ^= (x >> 24) & 255; + if(rng_pptr >= rng_psize) rng_pptr -= rng_psize; +} + +// Mix in the current time (w/milliseconds) into the pool +function rng_seed_time() { + rng_seed_int(new Date().getTime()); +} + +// Initialize the pool with junk if needed. +if(rng_pool == null) { + rng_pool = new Array(); + rng_pptr = 0; + var t; + if(window.crypto && window.crypto.getRandomValues) { + // Use webcrypto if available + var ua = new Uint8Array(32); + window.crypto.getRandomValues(ua); + for(t = 0; t < 32; ++t) + rng_pool[rng_pptr++] = ua[t]; + } + if(navigator.appName == "Netscape" && navigator.appVersion < "5" && window.crypto) { + // Extract entropy (256 bits) from NS4 RNG if available + var z = window.crypto.random(32); + for(t = 0; t < z.length; ++t) + rng_pool[rng_pptr++] = z.charCodeAt(t) & 255; + } + while(rng_pptr < rng_psize) { // extract some randomness from Math.random() + t = Math.floor(65536 * Math.random()); + rng_pool[rng_pptr++] = t >>> 8; + rng_pool[rng_pptr++] = t & 255; + } + rng_pptr = 0; + rng_seed_time(); + //rng_seed_int(window.screenX); + //rng_seed_int(window.screenY); +} + +function rng_get_byte() { + if(rng_state == null) { + rng_seed_time(); + rng_state = prng_newstate(); + rng_state.init(rng_pool); + for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr) + rng_pool[rng_pptr] = 0; + rng_pptr = 0; + //rng_pool = null; + } + // TODO: allow reseeding after first request + return rng_state.next(); +} + +function rng_get_bytes(ba) { + var i; + for(i = 0; i < ba.length; ++i) ba[i] = rng_get_byte(); +} + +function SecureRandom() {} + +SecureRandom.prototype.nextBytes = rng_get_bytes; + +module.exports = SecureRandom; \ No newline at end of file diff --git a/lib/rsa.js b/lib/rsa.js new file mode 100644 index 0000000..35feb4e --- /dev/null +++ b/lib/rsa.js @@ -0,0 +1,280 @@ +// Depends on jsbn.js and rng.js +var BigInteger = require('./jsbn'); +var SecureRandom = require('./rng'); +// Version 1.1: support utf-8 encoding in pkcs1pad2 + +// convert a (hex) string to a bignum object +function parseBigInt(str,r) { + return new BigInteger(str,r); +} + +function linebrk(s,n) { + var ret = ""; + var i = 0; + while(i + n < s.length) { + ret += s.substring(i,i+n) + "\n"; + i += n; + } + return ret + s.substring(i,s.length); +} + +function byte2Hex(b) { + if(b < 0x10) + return "0" + b.toString(16); + else + return b.toString(16); +} + +// PKCS#1 (type 2, random) pad input string s to n bytes, and return a bigint +function pkcs1pad2(s,n) { + if(n < s.length + 11) { // TODO: fix for utf-8 + console.log("Message too long for RSA"); + return null; + } + var ba = new Array(); + var i = s.length - 1; + while(i >= 0 && n > 0) { + var c = s.charCodeAt(i--); + if(c < 128) { // encode using utf-8 + ba[--n] = c; + } + else if((c > 127) && (c < 2048)) { + ba[--n] = (c & 63) | 128; + ba[--n] = (c >> 6) | 192; + } + else { + ba[--n] = (c & 63) | 128; + ba[--n] = ((c >> 6) & 63) | 128; + ba[--n] = (c >> 12) | 224; + } + } + ba[--n] = 0; + var rng = new SecureRandom(); + var x = new Array(); + while(n > 2) { // random non-zero pad + x[0] = 0; + while(x[0] == 0) rng.nextBytes(x); + ba[--n] = x[0]; + } + ba[--n] = 2; + ba[--n] = 0; + return new BigInteger(ba); +} + +// "empty" RSA key constructor +function RSAKey() { + this.n = null; // modulus + this.e = 0; // public exponent + this.d = null; // private exponent + this.p = null; // prime 1 + this.q = null; // prime 2 + this.dmp1 = null; // exponent1 + this.dmq1 = null; // exponent2 + this.coeff = null; // coefficient +} + +// return modulus and public exponent as string +function RSAGetPublicString() { + return JSON.stringify({n: this.n.toString(16), e: this.e.toString(16)}); +} + +function RSAGetPrivateString() { + var privateKeys = ['n', 'e', 'd', 'p', 'q', 'dmp1', 'dmq1', 'coeff']; + var ret = {}; + var that = this; + privateKeys.forEach(function(key) { + ret[key] = that[key] && that[key].toString(16); + }); + return JSON.stringify(ret); +} + +// Set the public key fields N and e from hex strings +function RSASetPublic(N,E) { + if(N != null && E != null && N.length > 0 && E.length > 0) { + this.n = parseBigInt(N,16); + this.e = parseInt(E,16); + } + else + console.log("Invalid RSA public key"); +} + +// Perform raw public operation on "x": return x^e (mod n) +function RSADoPublic(x) { + return x.modPowInt(this.e, this.n); +} + +// Return the PKCS#1 RSA encryption of "text" as an even-length hex string +function RSAEncrypt(text) { + var m = pkcs1pad2(text,(this.n.bitLength()+7)>>3); + if(m == null) return null; + var c = this.doPublic(m); + if(c == null) return null; + var h = c.toString(16); + if((h.length & 1) == 0) return h; else return "0" + h; +} + +// Return the PKCS#1 RSA encryption of "text" as a Base64-encoded string +//function RSAEncryptB64(text) { +// var h = this.encrypt(text); +// if(h) return hex2b64(h); else return null; +//} + +// protected +RSAKey.prototype.doPublic = RSADoPublic; + +// public +RSAKey.prototype.setPublic = RSASetPublic; +RSAKey.prototype.encrypt = RSAEncrypt; +//RSAKey.prototype.encrypt_b64 = RSAEncryptB64; + +// Start rsa2.js +// Depends on rsa.js and jsbn2.js + +// Version 1.1: support utf-8 decoding in pkcs1unpad2 + +// Undo PKCS#1 (type 2, random) padding and, if valid, return the plaintext +function pkcs1unpad2(d,n) { + var b = d.toByteArray(); + var i = 0; + while(i < b.length && b[i] == 0) ++i; + if(b.length-i != n-1 || b[i] != 2) + return null; + ++i; + while(b[i] != 0) + if(++i >= b.length) return null; + var ret = ""; + while(++i < b.length) { + var c = b[i] & 255; + if(c < 128) { // utf-8 decode + ret += String.fromCharCode(c); + } + else if((c > 191) && (c < 224)) { + ret += String.fromCharCode(((c & 31) << 6) | (b[i+1] & 63)); + ++i; + } + else { + ret += String.fromCharCode(((c & 15) << 12) | ((b[i+1] & 63) << 6) | (b[i+2] & 63)); + i += 2; + } + } + return ret; +} + +// Set the private key fields N, e, and d from hex strings +function RSASetPrivate(N,E,D) { + if(N != null && E != null && N.length > 0 && E.length > 0) { + this.n = parseBigInt(N,16); + this.e = parseInt(E,16); + this.d = parseBigInt(D,16); + } + else + console.log("Invalid RSA private key"); +} + +// Set the private key fields N, e, d and CRT params from hex strings +function RSASetPrivateEx(N,E,D,P,Q,DP,DQ,C) { + var params = {}; + if (typeof N == 'object') { + params = N; + } else { + params.n = N; + params.e = E; + params.d = D; + params.p = P; + params.q = Q; + params.dmp1 = DP; + params.dmq1 = DQ; + params.coeff = C; + } + if(params.n != null && params.e != null && params.n.length > 0 && params.e.length > 0) { + this.n = parseBigInt(params.n,16); + this.e = parseInt(params.e,16); + this.d = parseBigInt(params.d,16); + this.p = parseBigInt(params.p,16); + this.q = parseBigInt(params.q,16); + this.dmp1 = parseBigInt(params.dmp1,16); + this.dmq1 = parseBigInt(params.dmq1,16); + this.coeff = parseBigInt(params.coeff,16); + } + else + console.log("Invalid RSA private key"); +} + +// Generate a new random private key B bits long, using public expt E +function RSAGenerate(B,E) { + var rng = new SecureRandom(); + var qs = B>>1; + this.e = parseInt(E,16); + var ee = new BigInteger(E,16); + for(;;) { + for(;;) { + this.p = new BigInteger(B-qs,1,rng); + if(this.p.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.p.isProbablePrime(10)) break; + } + for(;;) { + this.q = new BigInteger(qs,1,rng); + if(this.q.subtract(BigInteger.ONE).gcd(ee).compareTo(BigInteger.ONE) == 0 && this.q.isProbablePrime(10)) break; + } + if(this.p.compareTo(this.q) <= 0) { + var t = this.p; + this.p = this.q; + this.q = t; + } + var p1 = this.p.subtract(BigInteger.ONE); + var q1 = this.q.subtract(BigInteger.ONE); + var phi = p1.multiply(q1); + if(phi.gcd(ee).compareTo(BigInteger.ONE) == 0) { + this.n = this.p.multiply(this.q); + this.d = ee.modInverse(phi); + this.dmp1 = this.d.mod(p1); + this.dmq1 = this.d.mod(q1); + this.coeff = this.q.modInverse(this.p); + break; + } + } +} + +// Perform raw private operation on "x": return x^d (mod n) +function RSADoPrivate(x) { + if(this.p == null || this.q == null) + return x.modPow(this.d, this.n); + + // TODO: re-calculate any missing CRT params + var xp = x.mod(this.p).modPow(this.dmp1, this.p); + var xq = x.mod(this.q).modPow(this.dmq1, this.q); + + while(xp.compareTo(xq) < 0) + xp = xp.add(this.p); + return xp.subtract(xq).multiply(this.coeff).mod(this.p).multiply(this.q).add(xq); +} + +// Return the PKCS#1 RSA decryption of "ctext". +// "ctext" is an even-length hex string and the output is a plain string. +function RSADecrypt(ctext) { + var c = parseBigInt(ctext, 16); + var m = this.doPrivate(c); + if(m == null) return null; + return pkcs1unpad2(m, (this.n.bitLength()+7)>>3); +} + +// Return the PKCS#1 RSA decryption of "ctext". +// "ctext" is a Base64-encoded string and the output is a plain string. +//function RSAB64Decrypt(ctext) { +// var h = b64tohex(ctext); +// if(h) return this.decrypt(h); else return null; +//} + +// protected +RSAKey.prototype.doPrivate = RSADoPrivate; + +// public +RSAKey.prototype.setPrivate = RSASetPrivate; +RSAKey.prototype.setPrivateEx = RSASetPrivateEx; +RSAKey.prototype.generate = RSAGenerate; +RSAKey.prototype.decrypt = RSADecrypt; +RSAKey.prototype.getPublicString = RSAGetPublicString; +RSAKey.prototype.getPrivateString = RSAGetPrivateString; +RSAKey.prototype.linebrk = linebrk; // line break +//RSAKey.prototype.b64_decrypt = RSAB64Decrypt; + +module.exports = RSAKey; diff --git a/package.json b/package.json new file mode 100644 index 0000000..97f4d29 --- /dev/null +++ b/package.json @@ -0,0 +1,27 @@ +{ + "name": "react-native-rsa", + "version": "0.0.1", + "description": "RSA crypto lib for react native", + "main": "index.js", + "scripts": { + "test": "jest" + }, + "repository": { + "type": "git", + "url": "git+https://github.com/z-hao-wang/react-native-rsa.git" + }, + "keywords": [ + "rsa", + "crypto", + "react-native" + ], + "author": "Hao Wang", + "license": "MIT", + "bugs": { + "url": "https://github.com/z-hao-wang/react-native-rsa/issues" + }, + "homepage": "https://github.com/z-hao-wang/react-native-rsa#readme", + "devDependencies": { + "jest-cli": "^0.9.2" + } +}