sodium-javascript/crypto_sign.js

const { crypto_verify_32 } = require('./crypto_verify')
const { crypto_hash } = require('./crypto_hash')
const {
  gf, gf0, gf1, D, D2,
  X, Y, I, A, Z, M, S,
  sel25519, pack25519,
  inv25519, unpack25519
} = require('./ed25519')

const crypto_sign_BYTES = 64,
    crypto_sign_PUBLICKEYBYTES = 32,
    crypto_sign_SECRETKEYBYTES = 64,
    crypto_sign_SEEDBYTES = 32

module.exports = {
  crypto_sign_keypair,
  crypto_sign_seed_keypair,
  crypto_sign,
  crypto_sign_detached,
  crypto_sign_open,
  crypto_sign_verify_detached,
  crypto_sign_BYTES,
  crypto_sign_PUBLICKEYBYTES,
  crypto_sign_SECRETKEYBYTES,
  crypto_sign_SEEDBYTES
}

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

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 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) {
  check(pk, sodium.crypto_sign_PUBLICKEYBYTES)
  check(sk, sodium.crypto_sign_SECRETKEYBYTES)

  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;
}

function crypto_sign_seed_keypair (pk, sk, seed) {
  check(seed, sodium.crypto_sign_SEEDBYTES)
  seed.copy(sk)
  crypto_sign_keypair(pk, sk, true)
}

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 modL(r, x) {
  var carry, i, j, k;
  for (i = 63; i >= 32; --i) {
    carry = 0;
    for (j = i - 32, k = i - 12; j < k; ++j) {
      x[j] += carry - 16 * x[i] * L[j - (i - 32)];
      carry = (x[j] + 128) >> 8;
      x[j] -= carry * 256;
    }
    x[j] += carry;
    x[i] = 0;
  }
  carry = 0;
  for (j = 0; j < 32; j++) {
    x[j] += carry - (x[31] >> 4) * L[j];
    carry = x[j] >> 8;
    x[j] &= 255;
  }
  for (j = 0; j < 32; j++) x[j] -= carry * L[j];
  for (i = 0; i < 32; i++) {
    x[i+1] += x[i] >> 8;
    r[i] = x[i] & 255;
  }
}

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, sk) {
  check(sm, crypto_sign_BYTES + m.length)
  check(m, 0)
  check(sk, crypto_sign_SECRETKEYBYTES)
  var n = m.length

  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);
}

function crypto_sign_detached(sig, m, sk) {
  var sm = new Uint8Array(m.length + crypto_sign_BYTES)
  crypto_sign(sm, m, sk)
  for (var i = 0; i < crypto_sign_BYTES; i++) sig[i] = sm[i]
}

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(msg, sm, pk) {
  check(msg, sm.length - crypto_sign_BYTES)
  check(sm, crypto_sign_BYTES)
  check(pk, crypto_sign_PUBLICKEYBYTES)
  var n = sm.length
  var m = new Uint8Array(sm.length)

  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 false;

  if (unpackneg(q, pk)) return false;

  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 false;
  }

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

function crypto_sign_verify_detached (sig, m, pk) {
  check(sig, crypto_sign_BYTES)
  var sm = new Uint8Array(m.length + crypto_sign_BYTES)
  var i = 0
  for (i = 0; i < crypto_sign_BYTES; i++) sm[i] = sig[i]
  for (i = 0; i < m.length; i++) sm[i + crypto_sign_BYTES] = m[i]
  return crypto_sign_open(m, sm, pk)
}

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

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 check (buf, len) {
  if (!buf || (len && buf.length < len)) throw new Error('Argument must be a buffer' + (len ? ' of length ' + len : ''))
}