/**!!!
* Elliptic Curve and BigInteger implementation
*
* Copyright for each portion of code are included in their respective portions.
* Compiled and Put together by LOTW (^_^)
*/
(function () {
// 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;
}
var inBrowser = typeof navigator !== 'undefined';
if (inBrowser && j_lm && navigator.appName == 'Microsoft Internet Explorer') {
BigInteger.prototype.am = am2;
dbits = 30;
} else if (inBrowser && 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 << dbits) - 1;
BigInteger.prototype.DV = 1 << dbits;
var BI_FP = 52;
BigInteger.prototype.FV = Math.pow(2, BI_FP);
BigInteger.prototype.F1 = BI_FP - dbits;
BigInteger.prototype.F2 = 2 * dbits - BI_FP;
// Digit conversions
var BI_RM = '0123456789abcdefghijklmnopqrstuvwxyz';
var BI_RC = new Array();
var rr, vv;
rr = '0'.charCodeAt(0);
for (vv = 0; vv <= 9; ++vv) BI_RC[rr++] = vv;
rr = 'a'.charCodeAt(0);
for (vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
rr = 'A'.charCodeAt(0);
for (vv = 10; vv < 36; ++vv) BI_RC[rr++] = vv;
function int2char(n) {
return BI_RM.charAt(n);
}
function intAt(s, i) {
var c = BI_RC[s.charCodeAt(i)];
return c == null ? -1 : c;
}
// (protected) copy this to r
function bnpCopyTo(r) {
for (var i = this.t - 1; i >= 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) {
// Auto-detect string notations
if (!b && s.length >= 2 && s[0] === '0') {
var isDetected = true;
switch (s[1]) {
case 'x': // Hexadecimal notation
b = 16;
break;
case 'b': // Binary notation
b = 2;
break;
case 'o': // Octal notation
b = 8;
break;
default:
isDetected = false;
}
// Remove the notation string if any has been detected
if (isDetected) {
s = s.substr(2);
}
}
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)) << sh;
this[this.t++] = x >> (this.DB - sh);
} else this[this.t - 1] |= x << sh;
sh += k;
if (sh >= 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) << sh;
}
this.clamp();
if (mi) BigInteger.ZERO.subTo(this, this);
}
// (protected) clamp off excess high words
function bnpClamp() {
var c = this.s & this.DM;
while (this.t > 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 << k) - 1,
d,
m = false,
r = '',
i = this.t;
var p = this.DB - ((i * this.DB) % k);
if (i-- > 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) - 1)) << (k - p);
d |= this[--i] >> (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 << cbs) - 1;
var ds = Math.floor(n / this.DB),
c = (this.s << bs) & this.DM,
i;
for (i = this.t - 1; i >= 0; --i) {
r[i + ds + 1] = (this[i] >> cbs) | c;
c = (this[i] & bm) << bs;
}
for (i = ds - 1; i >= 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) - 1;
r[0] = this[ds] >> bs;
for (var i = ds + 1; i < this.t; ++i) {
r[i - ds - 1] |= (this[i] & bm) << cbs;
r[i - ds] = this[i] >> bs;
}
if (bs > 0) r[this.t - ds - 1] |= (this.s & bm) << cbs;
r.t = this.t - ds;
r.clamp();
}
// (protected) r = this - a
function bnpSubTo(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 < -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 << this.F1) + (ys > 1 ? y[ys - 2] >> this.F2 : 0);
var d1 = this.FV / yt,
d2 = (1 << this.F1) / yt,
e = 1 << this.F2;
var i = r.t,
j = i - ys,
t = q == null ? nbi() : q;
y.dlShiftTo(j, t);
if (r.compareTo(t) >= 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 << i)) > 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);
BigInteger.valueOf = nbv;
// 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)) << 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^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 << 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,
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;
// Expose the Barrett function
BigInteger.prototype.Barrett = Barrett;
// BigInteger interfaces not implemented in jsbn:
// BigInteger(int signum, byte[] magnitude)
// double doubleValue()
// float floatValue()
// int hashCode()
// long longValue()
// static BigInteger valueOf(long val)
// Imported from bitcoinjs-lib
/**
* Turns a byte array into a big integer.
*
* This function will interpret a byte array as a big integer in big
* endian notation and ignore leading zeros.
*/
BigInteger.fromByteArrayUnsigned = function (ba) {
if (!ba.length) {
return new BigInteger.valueOf(0);
} else if (ba[0] & 0x80) {
// Prepend a zero so the BigInteger class doesn't mistake this
// for a negative integer.
return new BigInteger([0].concat(ba));
} else {
return new BigInteger(ba);
}
};
/**
* Parse a signed big integer byte representation.
*
* For details on the format please see BigInteger.toByteArraySigned.
*/
BigInteger.fromByteArraySigned = function (ba) {
// Check for negative value
if (ba[0] & 0x80) {
// Remove sign bit
ba[0] &= 0x7f;
return BigInteger.fromByteArrayUnsigned(ba).negate();
} else {
return BigInteger.fromByteArrayUnsigned(ba);
}
};
/**
* Returns a byte array representation of the big integer.
*
* This returns the absolute of the contained value in big endian
* form. A value of zero results in an empty array.
*/
BigInteger.prototype.toByteArrayUnsigned = function () {
var ba = this.abs().toByteArray();
// Empty array, nothing to do
if (!ba.length) {
return ba;
}
// remove leading 0
if (ba[0] === 0) {
ba = ba.slice(1);
}
// all values must be positive
for (var i = 0; i < ba.length; ++i) {
ba[i] = (ba[i] < 0) ? ba[i] + 256 : ba[i];
}
return ba;
};
/*
* Converts big integer to signed byte representation.
*
* The format for this value uses the most significant bit as a sign
* bit. If the most significant bit is already occupied by the
* absolute value, an extra byte is prepended and the sign bit is set
* there.
*
* Examples:
*
* 0 => 0x00
* 1 => 0x01
* -1 => 0x81
* 127 => 0x7f
* -127 => 0xff
* 128 => 0x0080
* -128 => 0x8080
* 255 => 0x00ff
* -255 => 0x80ff
* 16300 => 0x3fac
* -16300 => 0xbfac
* 62300 => 0x00f35c
* -62300 => 0x80f35c
*/
BigInteger.prototype.toByteArraySigned = function () {
var val = this.toByteArrayUnsigned();
var neg = this.s < 0;
// if the first bit is set, we always unshift
// either unshift 0x80 or 0x00
if (val[0] & 0x80) {
val.unshift((neg) ? 0x80 : 0x00);
}
// if the first bit isn't set, set it if negative
else if (neg) {
val[0] |= 0x80;
}
return val;
};
// Random number generator - requires a PRNG backend, e.g. prng4.js
// For best results, put code like
// <body onClick='rng_seed_time();' onKeyPress='rng_seed_time();'>
// 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 (typeof window !== 'undefined' && window.crypto) {
if (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];
} else if (
navigator.appName == 'Netscape' &&
navigator.appVersion < '5'
) {
// 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();
}
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;
}
// 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;
// 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;
/*!
* Basic Javascript Elliptic Curve implementation
* Ported loosely from BouncyCastle's Java EC code
* Only Fp curves implemented for now
*
* Copyright Tom Wu, bitaddress.org BSD License.
* http://www-cs-students.stanford.edu/~tjw/jsbn/LICENSE
*/
// Constructor function of Global EllipticCurve object
var ec = function () { };
// ----------------
// ECFieldElementFp constructor
// q instanceof BigInteger
// x instanceof BigInteger
ec.FieldElementFp = function (q, x) {
this.x = x;
// TODO if(x.compareTo(q) >= 0) error
this.q = q;
};
ec.FieldElementFp.prototype.equals = function (other) {
if (other == this) return true;
return (this.q.equals(other.q) && this.x.equals(other.x));
};
ec.FieldElementFp.prototype.toBigInteger = function () {
return this.x;
};
ec.FieldElementFp.prototype.negate = function () {
return new ec.FieldElementFp(this.q, this.x.negate().mod(this.q));
};
ec.FieldElementFp.prototype.add = function (b) {
return new ec.FieldElementFp(this.q, this.x.add(b.toBigInteger()).mod(this.q));
};
ec.FieldElementFp.prototype.subtract = function (b) {
return new ec.FieldElementFp(this.q, this.x.subtract(b.toBigInteger()).mod(this.q));
};
ec.FieldElementFp.prototype.multiply = function (b) {
return new ec.FieldElementFp(this.q, this.x.multiply(b.toBigInteger()).mod(this.q));
};
ec.FieldElementFp.prototype.square = function () {
return new ec.FieldElementFp(this.q, this.x.square().mod(this.q));
};
ec.FieldElementFp.prototype.divide = function (b) {
return new ec.FieldElementFp(this.q, this.x.multiply(b.toBigInteger().modInverse(this.q)).mod(this.q));
};
ec.FieldElementFp.prototype.getByteLength = function () {
return Math.floor((this.toBigInteger().bitLength() + 7) / 8);
};
// D.1.4 91
/**
* return a sqrt root - the routine verifies that the calculation
* returns the right value - if none exists it returns null.
*
* Copyright (c) 2000 - 2011 The Legion Of The Bouncy Castle (http://www.bouncycastle.org)
* Ported to JavaScript by bitaddress.org
*/
ec.FieldElementFp.prototype.sqrt = function () {
if (!this.q.testBit(0)) throw new Error("even value of q");
// p mod 4 == 3
if (this.q.testBit(1)) {
// z = g^(u+1) + p, p = 4u + 3
var z = new ec.FieldElementFp(this.q, this.x.modPow(this.q.shiftRight(2).add(BigInteger.ONE), this.q));
return z.square().equals(this) ? z : null;
}
// p mod 4 == 1
var qMinusOne = this.q.subtract(BigInteger.ONE);
var legendreExponent = qMinusOne.shiftRight(1);
if (!(this.x.modPow(legendreExponent, this.q).equals(BigInteger.ONE))) return null;
var u = qMinusOne.shiftRight(2);
var k = u.shiftLeft(1).add(BigInteger.ONE);
var Q = this.x;
var fourQ = Q.shiftLeft(2).mod(this.q);
var U, V;
do {
var rand = new SecureRandom();
var P;
do {
P = new BigInteger(this.q.bitLength(), rand);
}
while (P.compareTo(this.q) >= 0 || !(P.multiply(P).subtract(fourQ).modPow(legendreExponent, this.q).equals(qMinusOne)));
var result = ec.FieldElementFp.fastLucasSequence(this.q, P, Q, k);
U = result[0];
V = result[1];
if (V.multiply(V).mod(this.q).equals(fourQ)) {
// Integer division by 2, mod q
if (V.testBit(0)) {
V = V.add(this.q);
}
V = V.shiftRight(1);
return new ec.FieldElementFp(this.q, V);
}
}
while (U.equals(BigInteger.ONE) || U.equals(qMinusOne));
return null;
};
/*
* Copyright (c) 2000 - 2011 The Legion Of The Bouncy Castle (http://www.bouncycastle.org)
* Ported to JavaScript by bitaddress.org
*/
ec.FieldElementFp.fastLucasSequence = function (p, P, Q, k) {
// TODO Research and apply "common-multiplicand multiplication here"
var n = k.bitLength();
var s = k.getLowestSetBit();
var Uh = BigInteger.ONE;
var Vl = BigInteger.TWO;
var Vh = P;
var Ql = BigInteger.ONE;
var Qh = BigInteger.ONE;
for (var j = n - 1; j >= s + 1; --j) {
Ql = Ql.multiply(Qh).mod(p);
if (k.testBit(j)) {
Qh = Ql.multiply(Q).mod(p);
Uh = Uh.multiply(Vh).mod(p);
Vl = Vh.multiply(Vl).subtract(P.multiply(Ql)).mod(p);
Vh = Vh.multiply(Vh).subtract(Qh.shiftLeft(1)).mod(p);
}
else {
Qh = Ql;
Uh = Uh.multiply(Vl).subtract(Ql).mod(p);
Vh = Vh.multiply(Vl).subtract(P.multiply(Ql)).mod(p);
Vl = Vl.multiply(Vl).subtract(Ql.shiftLeft(1)).mod(p);
}
}
Ql = Ql.multiply(Qh).mod(p);
Qh = Ql.multiply(Q).mod(p);
Uh = Uh.multiply(Vl).subtract(Ql).mod(p);
Vl = Vh.multiply(Vl).subtract(P.multiply(Ql)).mod(p);
Ql = Ql.multiply(Qh).mod(p);
for (var j = 1; j <= s; ++j) {
Uh = Uh.multiply(Vl).mod(p);
Vl = Vl.multiply(Vl).subtract(Ql.shiftLeft(1)).mod(p);
Ql = Ql.multiply(Ql).mod(p);
}
return [Uh, Vl];
};
// ----------------
// ECPointFp constructor
ec.PointFp = function (curve, x, y, z, compressed) {
this.curve = curve;
this.x = x;
this.y = y;
// Projective coordinates: either zinv == null or z * zinv == 1
// z and zinv are just BigIntegers, not fieldElements
if (z == null) {
this.z = BigInteger.ONE;
}
else {
this.z = z;
}
this.zinv = null;
// compression flag
this.compressed = !!compressed;
};
ec.PointFp.prototype.getX = function () {
if (this.zinv == null) {
this.zinv = this.z.modInverse(this.curve.q);
}
var r = this.x.toBigInteger().multiply(this.zinv);
this.curve.reduce(r);
return this.curve.fromBigInteger(r);
};
ec.PointFp.prototype.getY = function () {
if (this.zinv == null) {
this.zinv = this.z.modInverse(this.curve.q);
}
var r = this.y.toBigInteger().multiply(this.zinv);
this.curve.reduce(r);
return this.curve.fromBigInteger(r);
};
ec.PointFp.prototype.equals = function (other) {
if (other == this) return true;
if (this.isInfinity()) return other.isInfinity();
if (other.isInfinity()) return this.isInfinity();
var u, v;
// u = Y2 * Z1 - Y1 * Z2
u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q);
if (!u.equals(BigInteger.ZERO)) return false;
// v = X2 * Z1 - X1 * Z2
v = other.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(other.z)).mod(this.curve.q);
return v.equals(BigInteger.ZERO);
};
ec.PointFp.prototype.isInfinity = function () {
if ((this.x == null) && (this.y == null)) return true;
return this.z.equals(BigInteger.ZERO) && !this.y.toBigInteger().equals(BigInteger.ZERO);
};
ec.PointFp.prototype.negate = function () {
return new ec.PointFp(this.curve, this.x, this.y.negate(), this.z);
};
ec.PointFp.prototype.add = function (b) {
if (this.isInfinity()) return b;
if (b.isInfinity()) return this;
// u = Y2 * Z1 - Y1 * Z2
var u = b.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(b.z)).mod(this.curve.q);
// v = X2 * Z1 - X1 * Z2
var v = b.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(b.z)).mod(this.curve.q);
if (BigInteger.ZERO.equals(v)) {
if (BigInteger.ZERO.equals(u)) {
return this.twice(); // this == b, so double
}
return this.curve.getInfinity(); // this = -b, so infinity
}
var THREE = new BigInteger("3");
var x1 = this.x.toBigInteger();
var y1 = this.y.toBigInteger();
var x2 = b.x.toBigInteger();
var y2 = b.y.toBigInteger();
var v2 = v.square();
var v3 = v2.multiply(v);
var x1v2 = x1.multiply(v2);
var zu2 = u.square().multiply(this.z);
// x3 = v * (z2 * (z1 * u^2 - 2 * x1 * v^2) - v^3)
var x3 = zu2.subtract(x1v2.shiftLeft(1)).multiply(b.z).subtract(v3).multiply(v).mod(this.curve.q);
// y3 = z2 * (3 * x1 * u * v^2 - y1 * v^3 - z1 * u^3) + u * v^3
var y3 = x1v2.multiply(THREE).multiply(u).subtract(y1.multiply(v3)).subtract(zu2.multiply(u)).multiply(b.z).add(u.multiply(v3)).mod(this.curve.q);
// z3 = v^3 * z1 * z2
var z3 = v3.multiply(this.z).multiply(b.z).mod(this.curve.q);
return new ec.PointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
};
ec.PointFp.prototype.twice = function () {
if (this.isInfinity()) return this;
if (this.y.toBigInteger().signum() == 0) return this.curve.getInfinity();
// TODO: optimized handling of constants
var THREE = new BigInteger("3");
var x1 = this.x.toBigInteger();
var y1 = this.y.toBigInteger();
var y1z1 = y1.multiply(this.z);
var y1sqz1 = y1z1.multiply(y1).mod(this.curve.q);
var a = this.curve.a.toBigInteger();
// w = 3 * x1^2 + a * z1^2
var w = x1.square().multiply(THREE);
if (!BigInteger.ZERO.equals(a)) {
w = w.add(this.z.square().multiply(a));
}
w = w.mod(this.curve.q);
//this.curve.reduce(w);
// x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1)
var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q);
// y3 = 4 * y1^2 * z1 * (3 * w * x1 - 2 * y1^2 * z1) - w^3
var y3 = w.multiply(THREE).multiply(x1).subtract(y1sqz1.shiftLeft(1)).shiftLeft(2).multiply(y1sqz1).subtract(w.square().multiply(w)).mod(this.curve.q);
// z3 = 8 * (y1 * z1)^3
var z3 = y1z1.square().multiply(y1z1).shiftLeft(3).mod(this.curve.q);
return new ec.PointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3);
};
// Simple NAF (Non-Adjacent Form) multiplication algorithm
// TODO: modularize the multiplication algorithm
ec.PointFp.prototype.multiply = function (k) {
if (this.isInfinity()) return this;
if (k.signum() == 0) return this.curve.getInfinity();
var e = k;
var h = e.multiply(new BigInteger("3"));
var neg = this.negate();
var R = this;
var i;
for (i = h.bitLength() - 2; i > 0; --i) {
R = R.twice();
var hBit = h.testBit(i);
var eBit = e.testBit(i);
if (hBit != eBit) {
R = R.add(hBit ? this : neg);
}
}
return R;
};
// Compute this*j + x*k (simultaneous multiplication)
ec.PointFp.prototype.multiplyTwo = function (j, x, k) {
var i;
if (j.bitLength() > k.bitLength())
i = j.bitLength() - 1;
else
i = k.bitLength() - 1;
var R = this.curve.getInfinity();
var both = this.add(x);
while (i >= 0) {
R = R.twice();
if (j.testBit(i)) {
if (k.testBit(i)) {
R = R.add(both);
}
else {
R = R.add(this);
}
}
else {
if (k.testBit(i)) {
R = R.add(x);
}
}
--i;
}
return R;
};
// patched by bitaddress.org and Casascius for use with Bitcoin.ECKey
// patched by coretechs to support compressed public keys
ec.PointFp.prototype.getEncoded = function (compressed) {
var x = this.getX().toBigInteger();
var y = this.getY().toBigInteger();
var len = 32; // integerToBytes will zero pad if integer is less than 32 bytes. 32 bytes length is required by the Bitcoin protocol.
var enc = ec.integerToBytes(x, len);
// when compressed prepend byte depending if y point is even or odd
if (compressed) {
if (y.isEven()) {
enc.unshift(0x02);
}
else {
enc.unshift(0x03);
}
}
else {
enc.unshift(0x04);
enc = enc.concat(ec.integerToBytes(y, len)); // uncompressed public key appends the bytes of the y point
}
return enc;
};
ec.PointFp.decodeFrom = function (curve, enc) {
var type = enc[0];
var dataLen = enc.length - 1;
// Extract x and y as byte arrays
var xBa = enc.slice(1, 1 + dataLen / 2);
var yBa = enc.slice(1 + dataLen / 2, 1 + dataLen);
// Prepend zero byte to prevent interpretation as negative integer
xBa.unshift(0);
yBa.unshift(0);
// Convert to BigIntegers
var x = new BigInteger(xBa);
var y = new BigInteger(yBa);
// Return point
return new ec.PointFp(curve, curve.fromBigInteger(x), curve.fromBigInteger(y));
};
ec.PointFp.prototype.add2D = function (b) {
if (this.isInfinity()) return b;
if (b.isInfinity()) return this;
if (this.x.equals(b.x)) {
if (this.y.equals(b.y)) {
// this = b, i.e. this must be doubled
return this.twice();
}
// this = -b, i.e. the result is the point at infinity
return this.curve.getInfinity();
}
var x_x = b.x.subtract(this.x);
var y_y = b.y.subtract(this.y);
var gamma = y_y.divide(x_x);
var x3 = gamma.square().subtract(this.x).subtract(b.x);
var y3 = gamma.multiply(this.x.subtract(x3)).subtract(this.y);
return new ec.PointFp(this.curve, x3, y3);
};
ec.PointFp.prototype.twice2D = function () {
if (this.isInfinity()) return this;
if (this.y.toBigInteger().signum() == 0) {
// if y1 == 0, then (x1, y1) == (x1, -y1)
// and hence this = -this and thus 2(x1, y1) == infinity
return this.curve.getInfinity();
}
var TWO = this.curve.fromBigInteger(BigInteger.valueOf(2));
var THREE = this.curve.fromBigInteger(BigInteger.valueOf(3));
var gamma = this.x.square().multiply(THREE).add(this.curve.a).divide(this.y.multiply(TWO));
var x3 = gamma.square().subtract(this.x.multiply(TWO));
var y3 = gamma.multiply(this.x.subtract(x3)).subtract(this.y);
return new ec.PointFp(this.curve, x3, y3);
};
ec.PointFp.prototype.multiply2D = function (k) {
if (this.isInfinity()) return this;
if (k.signum() == 0) return this.curve.getInfinity();
var e = k;
var h = e.multiply(new BigInteger("3"));
var neg = this.negate();
var R = this;
var i;
for (i = h.bitLength() - 2; i > 0; --i) {
R = R.twice();
var hBit = h.testBit(i);
var eBit = e.testBit(i);
if (hBit != eBit) {
R = R.add2D(hBit ? this : neg);
}
}
return R;
};
ec.PointFp.prototype.isOnCurve = function () {
var x = this.getX().toBigInteger();
var y = this.getY().toBigInteger();
var a = this.curve.getA().toBigInteger();
var b = this.curve.getB().toBigInteger();
var n = this.curve.getQ();
var lhs = y.multiply(y).mod(n);
var rhs = x.multiply(x).multiply(x).add(a.multiply(x)).add(b).mod(n);
return lhs.equals(rhs);
};
ec.PointFp.prototype.toString = function () {
return '(' + this.getX().toBigInteger().toString() + ',' + this.getY().toBigInteger().toString() + ')';
};
/**
* Validate an elliptic curve point.
*
* See SEC 1, section 3.2.2.1: Elliptic Curve Public Key Validation Primitive
*/
ec.PointFp.prototype.validate = function () {
var n = this.curve.getQ();
// Check Q != O
if (this.isInfinity()) {
throw new Error("Point is at infinity.");
}
// Check coordinate bounds
var x = this.getX().toBigInteger();
var y = this.getY().toBigInteger();
if (x.compareTo(BigInteger.ONE) < 0 || x.compareTo(n.subtract(BigInteger.ONE)) > 0) {
throw new Error('x coordinate out of bounds');
}
if (y.compareTo(BigInteger.ONE) < 0 || y.compareTo(n.subtract(BigInteger.ONE)) > 0) {
throw new Error('y coordinate out of bounds');
}
// Check y^2 = x^3 + ax + b (mod n)
if (!this.isOnCurve()) {
throw new Error("Point is not on the curve.");
}
// Check nQ = 0 (Q is a scalar multiple of G)
if (this.multiply(n).isInfinity()) {
// TODO: This check doesn't work - fix.
throw new Error("Point is not a scalar multiple of G.");
}
return true;
};
// ----------------
// ECCurveFp constructor
ec.CurveFp = function (q, a, b) {
this.q = q;
this.a = this.fromBigInteger(a);
this.b = this.fromBigInteger(b);
this.infinity = new ec.PointFp(this, null, null);
this.reducer = new Barrett(this.q);
}
ec.CurveFp.prototype.getQ = function () {
return this.q;
};
ec.CurveFp.prototype.getA = function () {
return this.a;
};
ec.CurveFp.prototype.getB = function () {
return this.b;
};
ec.CurveFp.prototype.equals = function (other) {
if (other == this) return true;
return (this.q.equals(other.q) && this.a.equals(other.a) && this.b.equals(other.b));
};
ec.CurveFp.prototype.getInfinity = function () {
return this.infinity;
};
ec.CurveFp.prototype.fromBigInteger = function (x) {
return new ec.FieldElementFp(this.q, x);
};
ec.CurveFp.prototype.reduce = function (x) {
this.reducer.reduce(x);
};
// for now, work with hex strings because they're easier in JS
// compressed support added by bitaddress.org
ec.CurveFp.prototype.decodePointHex = function (s) {
var firstByte = parseInt(s.substr(0, 2), 16);
switch (firstByte) { // first byte
case 0:
return this.infinity;
case 2: // compressed
case 3: // compressed
var yTilde = firstByte & 1;
var xHex = s.substr(2, s.length - 2);
var X1 = new BigInteger(xHex, 16);
return this.decompressPoint(yTilde, X1);
case 4: // uncompressed
case 6: // hybrid
case 7: // hybrid
var len = (s.length - 2) / 2;
var xHex = s.substr(2, len);
var yHex = s.substr(len + 2, len);
return new ec.PointFp(this,
this.fromBigInteger(new BigInteger(xHex, 16)),
this.fromBigInteger(new BigInteger(yHex, 16)));
default: // unsupported
return null;
}
};
ec.CurveFp.prototype.encodePointHex = function (p) {
if (p.isInfinity()) return "00";
var xHex = p.getX().toBigInteger().toString(16);
var yHex = p.getY().toBigInteger().toString(16);
var oLen = this.getQ().toString(16).length;
if ((oLen % 2) != 0) oLen++;
while (xHex.length < oLen) {
xHex = "0" + xHex;
}
while (yHex.length < oLen) {
yHex = "0" + yHex;
}
return "04" + xHex + yHex;
};
/*
* Copyright (c) 2000 - 2011 The Legion Of The Bouncy Castle (http://www.bouncycastle.org)
* Ported to JavaScript by bitaddress.org
*
* Number yTilde
* BigInteger X1
*/
ec.CurveFp.prototype.decompressPoint = function (yTilde, X1) {
var x = this.fromBigInteger(X1);
var alpha = x.multiply(x.square().add(this.getA())).add(this.getB());
var beta = alpha.sqrt();
// if we can't find a sqrt we haven't got a point on the curve - run!
if (beta == null) throw new Error("Invalid point compression");
var betaValue = beta.toBigInteger();
var bit0 = betaValue.testBit(0) ? 1 : 0;
if (bit0 != yTilde) {
// Use the other root
beta = this.fromBigInteger(this.getQ().subtract(betaValue));
}
return new ec.PointFp(this, x, beta, null, true);
};
ec.fromHex = function (s) { return new BigInteger(s, 16); };
ec.integerToBytes = function (i, len) {
var bytes = i.toByteArrayUnsigned();
if (len < bytes.length) {
bytes = bytes.slice(bytes.length - len);
} else while (len > bytes.length) {
bytes.unshift(0);
}
return bytes;
};
// Named EC curves
// ----------------
// X9ECParameters constructor
ec.X9Parameters = function (curve, g, n, h) {
this.curve = curve;
this.g = g;
this.n = n;
this.h = h;
}
ec.X9Parameters.prototype.getCurve = function () { return this.curve; };
ec.X9Parameters.prototype.getG = function () { return this.g; };
ec.X9Parameters.prototype.getN = function () { return this.n; };
ec.X9Parameters.prototype.getH = function () { return this.h; };
// secp256k1 is the Curve used by Bitcoin
ec.secNamedCurves = {
// used by Bitcoin
"secp256k1": function () {
// p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1
var p = ec.fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F");
var a = BigInteger.ZERO;
var b = ec.fromHex("7");
var n = ec.fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141");
var h = BigInteger.ONE;
var curve = new ec.CurveFp(p, a, b);
var G = curve.decodePointHex("04"
+ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"
+ "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8");
return new ec.X9Parameters(curve, G, n, h);
}
};
// secp256k1 called by Bitcoin's ECKEY
ec.getSECCurveByName = function (name) {
if (ec.secNamedCurves[name] == undefined) return null;
return ec.secNamedCurves[name]();
}
if (typeof exports !== 'undefined') {
exports = module.exports = {
default: ec,
EllipticCurve: ec,
BigInteger: BigInteger
};
} else {
this.ecbn = {
EllipticCurve: ec,
BigInteger: BigInteger
};
}
}).call(this);