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(function(nacl) {
'use strict';

// Ported in 2014 by Dmitry Chestnykh and Devi Mandiri.
// Public domain.
//
// Implementation derived from TweetNaCl version 20140427.
// See for details: http://tweetnacl.cr.yp.to/

var u64 = function(h, l) { this.hi = h|0 >>> 0; this.lo = l|0 >>> 0; };
var gf = function(init) {
  var i, r = new Float64Array(16);
  if (init) for (i = 0; i < init.length; i++) r[i] = init[i];
  return r;
};

//  Pluggable, initialized in high-level API below.
var randombytes = function(/* x, n */) { throw new Error('no PRNG'); };

var _0 = new Uint8Array(16);
var _9 = new Uint8Array(32); _9[0] = 9;

var gf0 = gf(),
    gf1 = gf([1]),
    _121665 = gf([0xdb41, 1]),
    D = gf([0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203]),
    D2 = gf([0xf159, 0x26b2, 0x9b94, 0xebd6, 0xb156, 0x8283, 0x149a, 0x00e0, 0xd130, 0xeef3, 0x80f2, 0x198e, 0xfce7, 0x56df, 0xd9dc, 0x2406]),
    X = gf([0xd51a, 0x8f25, 0x2d60, 0xc956, 0xa7b2, 0x9525, 0xc760, 0x692c, 0xdc5c, 0xfdd6, 0xe231, 0xc0a4, 0x53fe, 0xcd6e, 0x36d3, 0x2169]),
    Y = gf([0x6658, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666]),
    I = gf([0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83]);

function L32(x, c) { return (x << c) | (x >>> (32 - c)); }

function ld32(x, i) {
  var u = x[i+3] & 0xff;
  u = (u<<8)|(x[i+2] & 0xff);
  u = (u<<8)|(x[i+1] & 0xff);
  return (u<<8)|(x[i+0] & 0xff);
}

function dl64(x, i) {
  var h = (x[i] << 24) | (x[i+1] << 16) | (x[i+2] << 8) | x[i+3];
  var l = (x[i+4] << 24) | (x[i+5] << 16) | (x[i+6] << 8) | x[i+7];
  return new u64(h, l);
}

function st32(x, j, u) {
  var i;
  for (i = 0; i < 4; i++) { x[j+i] = u & 255; u >>>= 8; }
}

function ts64(x, i, u) {
  x[i]   = (u.hi >> 24) & 0xff;
  x[i+1] = (u.hi >> 16) & 0xff;
  x[i+2] = (u.hi >>  8) & 0xff;
  x[i+3] = u.hi & 0xff;
  x[i+4] = (u.lo >> 24)  & 0xff;
  x[i+5] = (u.lo >> 16)  & 0xff;
  x[i+6] = (u.lo >>  8)  & 0xff;
  x[i+7] = u.lo & 0xff;
}

function vn(x, xi, y, yi, n) {
  var i,d = 0;
  for (i = 0; i < n; i++) d |= x[xi+i]^y[yi+i];
  return (1 & ((d - 1) >>> 8)) - 1;
}

function crypto_verify_16(x, xi, y, yi) {
  return vn(x,xi,y,yi,16);
}

function crypto_verify_32(x, xi, y, yi) {
  return vn(x,xi,y,yi,32);
}

function core(out,inp,k,c,h) {
  var w = new Uint32Array(16), x = new Uint32Array(16),
      y = new Uint32Array(16), t = new Uint32Array(4);
  var i, j, m;

for (i = 0; i < 4; i++) {
    x[5*i] = ld32(c, 4*i);
    x[1+i] = ld32(k, 4*i);
    x[6+i] = ld32(inp, 4*i);
    x[11+i] = ld32(k, 16+4*i);
  }

for (i = 0; i < 16; i++) y[i] = x[i];

for (i = 0; i < 20; i++) {
    for (j = 0; j < 4; j++) {
      for (m = 0; m < 4; m++) t[m] = x[(5*j+4*m)%16];
      t[1] ^= L32((t[0]+t[3])|0, 7);
      t[2] ^= L32((t[1]+t[0])|0, 9);
      t[3] ^= L32((t[2]+t[1])|0,13);
      t[0] ^= L32((t[3]+t[2])|0,18);
      for (m = 0; m < 4; m++) w[4*j+(j+m)%4] = t[m];
    }
    for (m = 0; m < 16; m++) x[m] = w[m];
  }

if (h) {
    for (i = 0; i < 16; i++) x[i] = (x[i] + y[i]) | 0;
    for (i = 0; i < 4; i++) {
      x[5*i] = (x[5*i] - ld32(c, 4*i)) | 0;
      x[6+i] = (x[6+i] - ld32(inp, 4*i)) | 0;
    }
    for (i = 0; i < 4; i++) {
      st32(out,4*i,x[5*i]);
      st32(out,16+4*i,x[6+i]);
    }
  } else {
    for (i = 0; i < 16; i++) st32(out, 4 * i, (x[i] + y[i]) | 0);
  }
}

function crypto_core_salsa20(out,inp,k,c) {
  core(out,inp,k,c,false);
  return 0;
}

function crypto_core_hsalsa20(out,inp,k,c) {
  core(out,inp,k,c,true);
  return 0;
}

var sigma = new Uint8Array([101, 120, 112, 97, 110, 100, 32, 51, 50, 45, 98, 121, 116, 101, 32, 107]);
            // "expand 32-byte k"

function crypto_stream_salsa20(c,cpos,d,n,k) {
  return crypto_stream_salsa20_xor(c,cpos,null,0,d,n,k);
}

function crypto_stream(c,cpos,d,n,k) {
  var s = new Uint8Array(32);
  crypto_core_hsalsa20(s,n,k,sigma);
  return crypto_stream_salsa20(c,cpos,d,n.subarray(16),s);
}

function crypto_stream_xor(c,cpos,m,mpos,d,n,k) {
  var s = new Uint8Array(32);
  crypto_core_hsalsa20(s,n,k,sigma);
  return crypto_stream_salsa20_xor(c,cpos,m,mpos,d,n.subarray(16),s);
}

function add1305(h, c) {
  var j, u = 0;
  for (j = 0; j < 17; j++) {
    u = (u + ((h[j] + c[j]) | 0)) | 0;
    h[j] = u & 255;
    u >>>= 8;
  }
}

var minusp = new Uint32Array([
  5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252
]);

function crypto_onetimeauth(out, outpos, m, mpos, n, k) {
  var s, i, j, u;
  var x = new Uint32Array(17), r = new Uint32Array(17),
      h = new Uint32Array(17), c = new Uint32Array(17),
      g = new Uint32Array(17);
  for (j = 0; j < 17; j++) r[j]=h[j]=0;
  for (j = 0; j < 16; j++) r[j]=k[j];
  r[3]&=15;
  r[4]&=252;
  r[7]&=15;
  r[8]&=252;
  r[11]&=15;
  r[12]&=252;
  r[15]&=15;

while (n > 0) {
    for (j = 0; j < 17; j++) c[j] = 0;
    for (j = 0; (j < 16) && (j < n); ++j) c[j] = m[mpos+j];
    c[j] = 1;
    mpos += j; n -= j;
    add1305(h,c);
    for (i = 0; i < 17; i++) {
      x[i] = 0;
      for (j = 0; j < 17; j++) x[i] = (x[i] + (h[j] * ((j <= i) ? r[i - j] : ((320 * r[i + 17 - j])|0))) | 0) | 0;
    }
    for (i = 0; i < 17; i++) h[i] = x[i];
    u = 0;
    for (j = 0; j < 16; j++) {
      u = (u + h[j]) | 0;
      h[j] = u & 255;
      u >>>= 8;
    }
    u = (u + h[16]) | 0; h[16] = u & 3;
    u = (5 * (u >>> 2)) | 0;
    for (j = 0; j < 16; j++) {
      u = (u + h[j]) | 0;
      h[j] = u & 255;
      u >>>= 8;
    }
    u = (u + h[16]) | 0; h[16] = u;
  }

for (j = 0; j < 17; j++) g[j] = h[j];
  add1305(h,minusp);
  s = (-(h[16] >>> 7) | 0);
  for (j = 0; j < 17; j++) h[j] ^= s & (g[j] ^ h[j]);

for (j = 0; j < 16; j++) c[j] = k[j + 16];
  c[16] = 0;
  add1305(h,c);
  for (j = 0; j < 16; j++) out[outpos+j] = h[j];
  return 0;
}

function crypto_onetimeauth_verify(h, hpos, m, mpos, n, k) {
  var x = new Uint8Array(16);
  crypto_onetimeauth(x,0,m,mpos,n,k);
  return crypto_verify_16(h,hpos,x,0);
}

function crypto_secretbox(c,m,d,n,k) {
  var i;
  if (d < 32) return -1;
  crypto_stream_xor(c,0,m,0,d,n,k);
  crypto_onetimeauth(c, 16, c, 32, d - 32, c);
  for (i = 0; i < 16; i++) c[i] = 0;
  return 0;
}

function crypto_secretbox_open(m,c,d,n,k) {
  var i;
  var x = new Uint8Array(32);
  if (d < 32) return -1;
  crypto_stream(x,0,32,n,k);
  if (crypto_onetimeauth_verify(c, 16,c, 32,d - 32,x) !== 0) return -1;
  crypto_stream_xor(m,0,c,0,d,n,k);
  for (i = 0; i < 32; i++) m[i] = 0;
  return 0;
}

function set25519(r, a) {
  var i;
  for (i = 0; i < 16; i++) r[i] = a[i]|0;
}

function car25519(o) {
  var c;
  var i;
  for (i = 0; i < 16; i++) {
      o[i] += 65536;
      c = Math.floor(o[i] / 65536);
      o[(i+1)*(i<15?1:0)] += c - 1 + 37 * (c-1) * (i===15?1:0);
      o[i] -= (c * 65536);
  }
}

function sel25519(p, q, b) {
  var t, c = ~(b-1);
  for (var i = 0; i < 16; i++) {
    t = c & (p[i] ^ q[i]);
    p[i] ^= t;
    q[i] ^= t;
  }
}

function neq25519(a, b) {
  var c = new Uint8Array(32), d = new Uint8Array(32);
  pack25519(c, a);
  pack25519(d, b);
  return crypto_verify_32(c, 0, d, 0);
}

function par25519(a) {
  var d = new Uint8Array(32);
  pack25519(d, a);
  return d[0] & 1;
}

function unpack25519(o, n) {
  var i;
  for (i = 0; i < 16; i++) o[i] = n[2*i] + (n[2*i+1] << 8);
  o[15] &= 0x7fff;
}

function A(o, a, b) {
  var i;
  for (i = 0; i < 16; i++) o[i] = (a[i] + b[i])|0;
}

function Z(o, a, b) {
  var i;
  for (i = 0; i < 16; i++) o[i] = (a[i] - b[i])|0;
}

function S(o, a) {
  M(o, a, a);
}

function inv25519(o, i) {
  var c = gf();
  var a;
  for (a = 0; a < 16; a++) c[a] = i[a];
  for (a = 253; a >= 0; a--) {
    S(c, c);
    if(a !== 2 && a !== 4) M(c, c, i);
  }
  for (a = 0; a < 16; a++) o[a] = c[a];
}

function pow2523(o, i) {
  var c = gf();
  var a;
  for (a = 0; a < 16; a++) c[a] = i[a];
  for (a = 250; a >= 0; a--) {
      S(c, c);
      if(a !== 1) M(c, c, i);
  }
  for (a = 0; a < 16; a++) o[a] = c[a];
}

function crypto_scalarmult_base(q, n) {
  return crypto_scalarmult(q, n, _9);
}

function crypto_box_keypair(y, x) {
  randombytes(x, 32);
  return crypto_scalarmult_base(y, x);
}

function crypto_box_beforenm(k, y, x) {
  var s = new Uint8Array(32);
  crypto_scalarmult(s, x, y);
  return crypto_core_hsalsa20(k, _0, s, sigma);
}

var crypto_box_afternm = crypto_secretbox;
var crypto_box_open_afternm = crypto_secretbox_open;

function crypto_box(c, m, d, n, y, x) {
  var k = new Uint8Array(32);
  crypto_box_beforenm(k, y, x);
  return crypto_box_afternm(c, m, d, n, k);
}

function crypto_box_open(m, c, d, n, y, x) {
  var k = new Uint8Array(32);
  crypto_box_beforenm(k, y, x);
  return crypto_box_open_afternm(m, c, d, n, k);
}

function add64() {
  var a = 0, b = 0, c = 0, d = 0, m16 = 65535, l, h, i;
  for (i = 0; i < arguments.length; i++) {
    l = arguments[i].lo;
    h = arguments[i].hi;
    a += (l & m16); b += (l >>> 16);
    c += (h & m16); d += (h >>> 16);
  }

b += (a >>> 16);
  c += (b >>> 16);
  d += (c >>> 16);

return new u64((c & m16) | (d << 16), (a & m16) | (b << 16));
}

function shr64(x, c) {
  return new u64((x.hi >>> c), (x.lo >>> c) | (x.hi << (32 - c)));
}

function xor64() {
  var l = 0, h = 0, i;
  for (i = 0; i < arguments.length; i++) {
    l ^= arguments[i].lo;
    h ^= arguments[i].hi;
  }
  return new u64(h, l);
}

function Ch(x, y, z) {
  var h = (x.hi & y.hi) ^ (~x.hi & z.hi),
      l = (x.lo & y.lo) ^ (~x.lo & z.lo);
  return new u64(h, l);
}

function Maj(x, y, z) {
  var h = (x.hi & y.hi) ^ (x.hi & z.hi) ^ (y.hi & z.hi),
      l = (x.lo & y.lo) ^ (x.lo & z.lo) ^ (y.lo & z.lo);
  return new u64(h, l);
}

var K = [
  new u64(0x428a2f98, 0xd728ae22), new u64(0x71374491, 0x23ef65cd),
  new u64(0xb5c0fbcf, 0xec4d3b2f), new u64(0xe9b5dba5, 0x8189dbbc),
  new u64(0x3956c25b, 0xf348b538), new u64(0x59f111f1, 0xb605d019),
  new u64(0x923f82a4, 0xaf194f9b), new u64(0xab1c5ed5, 0xda6d8118),
  new u64(0xd807aa98, 0xa3030242), new u64(0x12835b01, 0x45706fbe),
  new u64(0x243185be, 0x4ee4b28c), new u64(0x550c7dc3, 0xd5ffb4e2),
  new u64(0x72be5d74, 0xf27b896f), new u64(0x80deb1fe, 0x3b1696b1),
  new u64(0x9bdc06a7, 0x25c71235), new u64(0xc19bf174, 0xcf692694),
  new u64(0xe49b69c1, 0x9ef14ad2), new u64(0xefbe4786, 0x384f25e3),
  new u64(0x0fc19dc6, 0x8b8cd5b5), new u64(0x240ca1cc, 0x77ac9c65),
  new u64(0x2de92c6f, 0x592b0275), new u64(0x4a7484aa, 0x6ea6e483),
  new u64(0x5cb0a9dc, 0xbd41fbd4), new u64(0x76f988da, 0x831153b5),
  new u64(0x983e5152, 0xee66dfab), new u64(0xa831c66d, 0x2db43210),
  new u64(0xb00327c8, 0x98fb213f), new u64(0xbf597fc7, 0xbeef0ee4),
  new u64(0xc6e00bf3, 0x3da88fc2), new u64(0xd5a79147, 0x930aa725),
  new u64(0x06ca6351, 0xe003826f), new u64(0x14292967, 0x0a0e6e70),
  new u64(0x27b70a85, 0x46d22ffc), new u64(0x2e1b2138, 0x5c26c926),
  new u64(0x4d2c6dfc, 0x5ac42aed), new u64(0x53380d13, 0x9d95b3df),
  new u64(0x650a7354, 0x8baf63de), new u64(0x766a0abb, 0x3c77b2a8),
  new u64(0x81c2c92e, 0x47edaee6), new u64(0x92722c85, 0x1482353b),
  new u64(0xa2bfe8a1, 0x4cf10364), new u64(0xa81a664b, 0xbc423001),
  new u64(0xc24b8b70, 0xd0f89791), new u64(0xc76c51a3, 0x0654be30),
  new u64(0xd192e819, 0xd6ef5218), new u64(0xd6990624, 0x5565a910),
  new u64(0xf40e3585, 0x5771202a), new u64(0x106aa070, 0x32bbd1b8),
  new u64(0x19a4c116, 0xb8d2d0c8), new u64(0x1e376c08, 0x5141ab53),
  new u64(0x2748774c, 0xdf8eeb99), new u64(0x34b0bcb5, 0xe19b48a8),
  new u64(0x391c0cb3, 0xc5c95a63), new u64(0x4ed8aa4a, 0xe3418acb),
  new u64(0x5b9cca4f, 0x7763e373), new u64(0x682e6ff3, 0xd6b2b8a3),
  new u64(0x748f82ee, 0x5defb2fc), new u64(0x78a5636f, 0x43172f60),
  new u64(0x84c87814, 0xa1f0ab72), new u64(0x8cc70208, 0x1a6439ec),
  new u64(0x90befffa, 0x23631e28), new u64(0xa4506ceb, 0xde82bde9),
  new u64(0xbef9a3f7, 0xb2c67915), new u64(0xc67178f2, 0xe372532b),
  new u64(0xca273ece, 0xea26619c), new u64(0xd186b8c7, 0x21c0c207),
  new u64(0xeada7dd6, 0xcde0eb1e), new u64(0xf57d4f7f, 0xee6ed178),
  new u64(0x06f067aa, 0x72176fba), new u64(0x0a637dc5, 0xa2c898a6),
  new u64(0x113f9804, 0xbef90dae), new u64(0x1b710b35, 0x131c471b),
  new u64(0x28db77f5, 0x23047d84), new u64(0x32caab7b, 0x40c72493),
  new u64(0x3c9ebe0a, 0x15c9bebc), new u64(0x431d67c4, 0x9c100d4c),
  new u64(0x4cc5d4be, 0xcb3e42b6), new u64(0x597f299c, 0xfc657e2a),
  new u64(0x5fcb6fab, 0x3ad6faec), new u64(0x6c44198c, 0x4a475817)
];

function crypto_hashblocks(x, m, n) {
  var z = [], b = [], a = [], w = [], t, i, j;

for (i = 0; i < 8; i++) z[i] = a[i] = dl64(x, 8*i);

for (i = 0; i < 8; i++) {
      a[i] = add64(a[i], z[i]);
      z[i] = a[i];
    }

pos += 128;
    n -= 128;
  }

for (i = 0; i < 8; i++) ts64(x, 8*i, z[i]);
  return n;
}

var iv = new Uint8Array([
  0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08,
  0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b,
  0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b,
  0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1,
  0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1,
  0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f,
  0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b,
  0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79
]);

function crypto_hash(out, m, n) {
  var h = new Uint8Array(64), x = new Uint8Array(256);
  var i, b = n;

for (i = 0; i < 64; i++) h[i] = iv[i];

crypto_hashblocks(h, m, n);
  n %= 128;

for (i = 0; i < 256; i++) x[i] = 0;
  for (i = 0; i < n; i++) x[i] = m[b-n+i];
  x[n] = 128;

n = 256-128*(n<112?1:0);
  x[n-9] = 0;
  ts64(x, n-8, new u64((b / 0x20000000) | 0, b << 3));
  crypto_hashblocks(h, x, n);

for (i = 0; i < 64; i++) out[i] = h[i];

return 0;
}

function add(p, q) {
  var a = gf(), b = gf(), c = gf(),
      d = gf(), e = gf(), f = gf(),
      g = gf(), h = gf(), t = gf();

Z(a, p[1], p[0]);
  Z(t, q[1], q[0]);
  M(a, a, t);
  A(b, p[0], p[1]);
  A(t, q[0], q[1]);
  M(b, b, t);
  M(c, p[3], q[3]);
  M(c, c, D2);
  M(d, p[2], q[2]);
  A(d, d, d);
  Z(e, b, a);
  Z(f, d, c);
  A(g, d, c);
  A(h, b, a);

M(p[0], e, f);
  M(p[1], h, g);
  M(p[2], g, f);
  M(p[3], e, h);
}

function cswap(p, q, b) {
  var i;
  for (i = 0; i < 4; i++) {
    sel25519(p[i], q[i], b);
  }
}

function pack(r, p) {
  var tx = gf(), ty = gf(), zi = gf();
  inv25519(zi, p[2]);
  M(tx, p[0], zi);
  M(ty, p[1], zi);
  pack25519(r, ty);
  r[31] ^= par25519(tx) << 7;
}

function scalarmult(p, q, s) {
  var b, i;
  set25519(p[0], gf0);
  set25519(p[1], gf1);
  set25519(p[2], gf1);
  set25519(p[3], gf0);
  for (i = 255; i >= 0; --i) {
    b = (s[(i/8)|0] >> (i&7)) & 1;
    cswap(p, q, b);
    add(q, p);
    add(p, p);
    cswap(p, q, b);
  }
}

function scalarbase(p, s) {
  var q = [gf(), gf(), gf(), gf()];
  set25519(q[0], X);
  set25519(q[1], Y);
  set25519(q[2], gf1);
  M(q[3], X, Y);
  scalarmult(p, q, s);
}

function crypto_sign_keypair(pk, sk, seeded) {
  var d = new Uint8Array(64);
  var p = [gf(), gf(), gf(), gf()];
  var i;

if (!seeded) randombytes(sk, 32);
  crypto_hash(d, sk, 32);
  d[0] &= 248;
  d[31] &= 127;
  d[31] |= 64;

scalarbase(p, d);
  pack(pk, p);

for (i = 0; i < 32; i++) sk[i+32] = pk[i];
  return 0;
}

var L = new Float64Array([0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0x10]);

function reduce(r) {
  var x = new Float64Array(64), i;
  for (i = 0; i < 64; i++) x[i] = r[i];
  for (i = 0; i < 64; i++) r[i] = 0;
  modL(r, x);
}

// Note: difference from C - smlen returned, not passed as argument.
function crypto_sign(sm, m, n, sk) {
  var d = new Uint8Array(64), h = new Uint8Array(64), r = new Uint8Array(64);
  var i, j, x = new Float64Array(64);
  var p = [gf(), gf(), gf(), gf()];

crypto_hash(d, sk, 32);
  d[0] &= 248;
  d[31] &= 127;
  d[31] |= 64;

var smlen = n + 64;
  for (i = 0; i < n; i++) sm[64 + i] = m[i];
  for (i = 0; i < 32; i++) sm[32 + i] = d[32 + i];

crypto_hash(r, sm.subarray(32), n+32);
  reduce(r);
  scalarbase(p, r);
  pack(sm, p);

for (i = 32; i < 64; i++) sm[i] = sk[i];
  crypto_hash(h, sm, n + 64);
  reduce(h);

for (i = 0; i < 64; i++) x[i] = 0;
  for (i = 0; i < 32; i++) x[i] = r[i];
  for (i = 0; i < 32; i++) {
    for (j = 0; j < 32; j++) {
      x[i+j] += h[i] * d[j];
    }
  }

modL(sm.subarray(32), x);
  return smlen;
}

function unpackneg(r, p) {
  var t = gf(), chk = gf(), num = gf(),
      den = gf(), den2 = gf(), den4 = gf(),
      den6 = gf();

set25519(r[2], gf1);
  unpack25519(r[1], p);
  S(num, r[1]);
  M(den, num, D);
  Z(num, num, r[2]);
  A(den, r[2], den);

S(den2, den);
  S(den4, den2);
  M(den6, den4, den2);
  M(t, den6, num);
  M(t, t, den);

pow2523(t, t);
  M(t, t, num);
  M(t, t, den);
  M(t, t, den);
  M(r[0], t, den);

S(chk, r[0]);
  M(chk, chk, den);
  if (neq25519(chk, num)) M(r[0], r[0], I);

S(chk, r[0]);
  M(chk, chk, den);
  if (neq25519(chk, num)) return -1;

if (par25519(r[0]) === (p[31]>>7)) Z(r[0], gf0, r[0]);

M(r[3], r[0], r[1]);
  return 0;
}

function crypto_sign_open(m, sm, n, pk) {
  var i, mlen;
  var t = new Uint8Array(32), h = new Uint8Array(64);
  var p = [gf(), gf(), gf(), gf()],
      q = [gf(), gf(), gf(), gf()];

mlen = -1;
  if (n < 64) return -1;

if (unpackneg(q, pk)) return -1;

for (i = 0; i < n; i++) m[i] = sm[i];
  for (i = 0; i < 32; i++) m[i+32] = pk[i];
  crypto_hash(h, m, n);
  reduce(h);
  scalarmult(p, q, h);

scalarbase(q, sm.subarray(32));
  add(p, q);
  pack(t, p);

n -= 64;
  if (crypto_verify_32(sm, 0, t, 0)) {
    for (i = 0; i < n; i++) m[i] = 0;
    return -1;
  }

for (i = 0; i < n; i++) m[i] = sm[i + 64];
  mlen = n;
  return mlen;
}

var crypto_secretbox_KEYBYTES = 32,
    crypto_secretbox_NONCEBYTES = 24,
    crypto_secretbox_ZEROBYTES = 32,
    crypto_secretbox_BOXZEROBYTES = 16,
    crypto_scalarmult_BYTES = 32,
    crypto_scalarmult_SCALARBYTES = 32,
    crypto_box_PUBLICKEYBYTES = 32,
    crypto_box_SECRETKEYBYTES = 32,
    crypto_box_BEFORENMBYTES = 32,
    crypto_box_NONCEBYTES = crypto_secretbox_NONCEBYTES,
    crypto_box_ZEROBYTES = crypto_secretbox_ZEROBYTES,
    crypto_box_BOXZEROBYTES = crypto_secretbox_BOXZEROBYTES,
    crypto_sign_BYTES = 64,
    crypto_sign_PUBLICKEYBYTES = 32,
    crypto_sign_SECRETKEYBYTES = 64,
    crypto_sign_SEEDBYTES = 32,
    crypto_hash_BYTES = 64;

nacl.lowlevel = {
  crypto_core_hsalsa20: crypto_core_hsalsa20,
  crypto_stream_xor: crypto_stream_xor,
  crypto_stream: crypto_stream,
  crypto_stream_salsa20_xor: crypto_stream_salsa20_xor,
  crypto_stream_salsa20: crypto_stream_salsa20,
  crypto_onetimeauth: crypto_onetimeauth,
  crypto_onetimeauth_verify: crypto_onetimeauth_verify,
  crypto_verify_16: crypto_verify_16,
  crypto_verify_32: crypto_verify_32,
  crypto_secretbox: crypto_secretbox,
  crypto_secretbox_open: crypto_secretbox_open,
  crypto_scalarmult: crypto_scalarmult,
  crypto_scalarmult_base: crypto_scalarmult_base,
  crypto_box_beforenm: crypto_box_beforenm,
  crypto_box_afternm: crypto_box_afternm,
  crypto_box: crypto_box,
  crypto_box_open: crypto_box_open,
  crypto_box_keypair: crypto_box_keypair,
  crypto_hash: crypto_hash,
  crypto_sign: crypto_sign,
  crypto_sign_keypair: crypto_sign_keypair,
  crypto_sign_open: crypto_sign_open,

crypto_secretbox_KEYBYTES: crypto_secretbox_KEYBYTES,
  crypto_secretbox_NONCEBYTES: crypto_secretbox_NONCEBYTES,
  crypto_secretbox_ZEROBYTES: crypto_secretbox_ZEROBYTES,
  crypto_secretbox_BOXZEROBYTES: crypto_secretbox_BOXZEROBYTES,
  crypto_scalarmult_BYTES: crypto_scalarmult_BYTES,
  crypto_scalarmult_SCALARBYTES: crypto_scalarmult_SCALARBYTES,
  crypto_box_PUBLICKEYBYTES: crypto_box_PUBLICKEYBYTES,
  crypto_box_SECRETKEYBYTES: crypto_box_SECRETKEYBYTES,
  crypto_box_BEFORENMBYTES: crypto_box_BEFORENMBYTES,
  crypto_box_NONCEBYTES: crypto_box_NONCEBYTES,
  crypto_box_ZEROBYTES: crypto_box_ZEROBYTES,
  crypto_box_BOXZEROBYTES: crypto_box_BOXZEROBYTES,
  crypto_sign_BYTES: crypto_sign_BYTES,
  crypto_sign_PUBLICKEYBYTES: crypto_sign_PUBLICKEYBYTES,
  crypto_sign_SECRETKEYBYTES: crypto_sign_SECRETKEYBYTES,
  crypto_sign_SEEDBYTES: crypto_sign_SEEDBYTES,
  crypto_hash_BYTES: crypto_hash_BYTES
};

/* High-level API */

function checkLengths(k, n) {
  if (k.length !== crypto_secretbox_KEYBYTES) throw new Error('bad key size');
  if (n.length !== crypto_secretbox_NONCEBYTES) throw new Error('bad nonce size');
}

function checkBoxLengths(pk, sk) {
  if (pk.length !== crypto_box_PUBLICKEYBYTES) throw new Error('bad public key size');
  if (sk.length !== crypto_box_SECRETKEYBYTES) throw new Error('bad secret key size');
}

function checkArrayTypes() {
  var t, i;
  for (i = 0; i < arguments.length; i++) {
     if ((t = Object.prototype.toString.call(arguments[i])) !== '[object Uint8Array]')
       throw new TypeError('unexpected type ' + t + ', use Uint8Array');
  }
}

function cleanup(arr) {
  for (var i = 0; i < arr.length; i++) arr[i] = 0;
}

// TODO: Completely remove this in v0.15.
if (!nacl.util) {
  nacl.util = {};
  nacl.util.decodeUTF8 = nacl.util.encodeUTF8 = nacl.util.encodeBase64 = nacl.util.decodeBase64 = function() {
    throw new Error('nacl.util moved into separate package: https://github.com/dchest/tweetnacl-util-js');
  };
}

nacl.randomBytes = function(n) {
  var b = new Uint8Array(n);
  randombytes(b, n);
  return b;
};

nacl.secretbox = function(msg, nonce, key) {
  checkArrayTypes(msg, nonce, key);
  checkLengths(key, nonce);
  var m = new Uint8Array(crypto_secretbox_ZEROBYTES + msg.length);
  var c = new Uint8Array(m.length);
  for (var i = 0; i < msg.length; i++) m[i+crypto_secretbox_ZEROBYTES] = msg[i];
  crypto_secretbox(c, m, m.length, nonce, key);
  return c.subarray(crypto_secretbox_BOXZEROBYTES);
};

nacl.secretbox.open = function(box, nonce, key) {
  checkArrayTypes(box, nonce, key);
  checkLengths(key, nonce);
  var c = new Uint8Array(crypto_secretbox_BOXZEROBYTES + box.length);
  var m = new Uint8Array(c.length);
  for (var i = 0; i < box.length; i++) c[i+crypto_secretbox_BOXZEROBYTES] = box[i];
  if (c.length < 32) return false;
  if (crypto_secretbox_open(m, c, c.length, nonce, key) !== 0) return false;
  return m.subarray(crypto_secretbox_ZEROBYTES);
};

nacl.secretbox.keyLength = crypto_secretbox_KEYBYTES;
nacl.secretbox.nonceLength = crypto_secretbox_NONCEBYTES;
nacl.secretbox.overheadLength = crypto_secretbox_BOXZEROBYTES;

nacl.scalarMult = function(n, p) {
  checkArrayTypes(n, p);
  if (n.length !== crypto_scalarmult_SCALARBYTES) throw new Error('bad n size');
  if (p.length !== crypto_scalarmult_BYTES) throw new Error('bad p size');
  var q = new Uint8Array(crypto_scalarmult_BYTES);
  crypto_scalarmult(q, n, p);
  return q;
};

nacl.scalarMult.base = function(n) {
  checkArrayTypes(n);
  if (n.length !== crypto_scalarmult_SCALARBYTES) throw new Error('bad n size');
  var q = new Uint8Array(crypto_scalarmult_BYTES);
  crypto_scalarmult_base(q, n);
  return q;
};

nacl.scalarMult.scalarLength = crypto_scalarmult_SCALARBYTES;
nacl.scalarMult.groupElementLength = crypto_scalarmult_BYTES;

nacl.box = function(msg, nonce, publicKey, secretKey) {
  var k = nacl.box.before(publicKey, secretKey);
  return nacl.secretbox(msg, nonce, k);
};

nacl.box.before = function(publicKey, secretKey) {
  checkArrayTypes(publicKey, secretKey);
  checkBoxLengths(publicKey, secretKey);
  var k = new Uint8Array(crypto_box_BEFORENMBYTES);
  crypto_box_beforenm(k, publicKey, secretKey);
  return k;
};

nacl.box.after = nacl.secretbox;

nacl.box.open = function(msg, nonce, publicKey, secretKey) {
  var k = nacl.box.before(publicKey, secretKey);
  return nacl.secretbox.open(msg, nonce, k);
};

nacl.box.open.after = nacl.secretbox.open;

nacl.box.keyPair = function() {
  var pk = new Uint8Array(crypto_box_PUBLICKEYBYTES);
  var sk = new Uint8Array(crypto_box_SECRETKEYBYTES);
  crypto_box_keypair(pk, sk);
  return {publicKey: pk, secretKey: sk};
};

nacl.box.keyPair.fromSecretKey = function(secretKey) {
  checkArrayTypes(secretKey);
  if (secretKey.length !== crypto_box_SECRETKEYBYTES)
    throw new Error('bad secret key size');
  var pk = new Uint8Array(crypto_box_PUBLICKEYBYTES);
  crypto_scalarmult_base(pk, secretKey);
  return {publicKey: pk, secretKey: new Uint8Array(secretKey)};
};

nacl.box.publicKeyLength = crypto_box_PUBLICKEYBYTES;
nacl.box.secretKeyLength = crypto_box_SECRETKEYBYTES;
nacl.box.sharedKeyLength = crypto_box_BEFORENMBYTES;
nacl.box.nonceLength = crypto_box_NONCEBYTES;
nacl.box.overheadLength = nacl.secretbox.overheadLength;

nacl.sign = function(msg, secretKey) {
  checkArrayTypes(msg, secretKey);
  if (secretKey.length !== crypto_sign_SECRETKEYBYTES)
    throw new Error('bad secret key size');
  var signedMsg = new Uint8Array(crypto_sign_BYTES+msg.length);
  crypto_sign(signedMsg, msg, msg.length, secretKey);
  return signedMsg;
};

nacl.sign.open = function(signedMsg, publicKey) {
  if (arguments.length !== 2)
    throw new Error('nacl.sign.open accepts 2 arguments; did you mean to use nacl.sign.detached.verify?');
  checkArrayTypes(signedMsg, publicKey);
  if (publicKey.length !== crypto_sign_PUBLICKEYBYTES)
    throw new Error('bad public key size');
  var tmp = new Uint8Array(signedMsg.length);
  var mlen = crypto_sign_open(tmp, signedMsg, signedMsg.length, publicKey);
  if (mlen < 0) return null;
  var m = new Uint8Array(mlen);
  for (var i = 0; i < m.length; i++) m[i] = tmp[i];
  return m;
};

nacl.sign.detached = function(msg, secretKey) {
  var signedMsg = nacl.sign(msg, secretKey);
  var sig = new Uint8Array(crypto_sign_BYTES);
  for (var i = 0; i < sig.length; i++) sig[i] = signedMsg[i];
  return sig;
};

nacl.sign.detached.verify = function(msg, sig, publicKey) {
  checkArrayTypes(msg, sig, publicKey);
  if (sig.length !== crypto_sign_BYTES)
    throw new Error('bad signature size');
  if (publicKey.length !== crypto_sign_PUBLICKEYBYTES)
    throw new Error('bad public key size');
  var sm = new Uint8Array(crypto_sign_BYTES + msg.length);
  var m = new Uint8Array(crypto_sign_BYTES + msg.length);
  var i;
  for (i = 0; i < crypto_sign_BYTES; i++) sm[i] = sig[i];
  for (i = 0; i < msg.length; i++) sm[i+crypto_sign_BYTES] = msg[i];
  return (crypto_sign_open(m, sm, sm.length, publicKey) >= 0);
};

nacl.sign.keyPair = function() {
  var pk = new Uint8Array(crypto_sign_PUBLICKEYBYTES);
  var sk = new Uint8Array(crypto_sign_SECRETKEYBYTES);
  crypto_sign_keypair(pk, sk);
  return {publicKey: pk, secretKey: sk};
};

nacl.sign.keyPair.fromSecretKey = function(secretKey) {
  checkArrayTypes(secretKey);
  if (secretKey.length !== crypto_sign_SECRETKEYBYTES)
    throw new Error('bad secret key size');
  var pk = new Uint8Array(crypto_sign_PUBLICKEYBYTES);
  for (var i = 0; i < pk.length; i++) pk[i] = secretKey[32+i];
  return {publicKey: pk, secretKey: new Uint8Array(secretKey)};
};

nacl.sign.keyPair.fromSeed = function(seed) {
  checkArrayTypes(seed);
  if (seed.length !== crypto_sign_SEEDBYTES)
    throw new Error('bad seed size');
  var pk = new Uint8Array(crypto_sign_PUBLICKEYBYTES);
  var sk = new Uint8Array(crypto_sign_SECRETKEYBYTES);
  for (var i = 0; i < 32; i++) sk[i] = seed[i];
  crypto_sign_keypair(pk, sk, true);
  return {publicKey: pk, secretKey: sk};
};

nacl.sign.publicKeyLength = crypto_sign_PUBLICKEYBYTES;
nacl.sign.secretKeyLength = crypto_sign_SECRETKEYBYTES;
nacl.sign.seedLength = crypto_sign_SEEDBYTES;
nacl.sign.signatureLength = crypto_sign_BYTES;

nacl.hash = function(msg) {
  checkArrayTypes(msg);
  var h = new Uint8Array(crypto_hash_BYTES);
  crypto_hash(h, msg, msg.length);
  return h;
};

nacl.hash.hashLength = crypto_hash_BYTES;

nacl.verify = function(x, y) {
  checkArrayTypes(x, y);
  // Zero length arguments are considered not equal.
  if (x.length === 0 || y.length === 0) return false;
  if (x.length !== y.length) return false;
  return (vn(x, 0, y, 0, x.length) === 0) ? true : false;
};

nacl.setPRNG = function(fn) {
  randombytes = fn;
};

})(typeof module !== 'undefined' && module.exports ? module.exports : (self.nacl = self.nacl || {}));

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