Class: Axlsign

Inherits:
Object
  • Object
show all
Defined in:
lib/sign/axlsign.rb

Overview

Derived from TweetNaCl.js (tweetnacl.js.org/) Ported in 2014 by Dmitry Chestnykh and Devi Mandiri. Public domain.

Implementation derived from TweetNaCl version 20140427. See for details: tweetnacl.cr.yp.to/

Class Method Summary collapse

Class Method Details

.A(o, a, b) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 108

def self.A(o, a, b)
  (0..15).each { |i| o[i] = a[i] + b[i] }
  o
end

.add(p, q) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 916

def self.add(p, q)
  a = gf
  b = gf
  c = gf
  d = gf
  e = gf
  f = gf
  g = gf
  h = gf
  t = gf

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

  p[0] = M(p[0], e, f)
  p[1] = M(p[1], h, g)
  p[2] = M(p[2], g, f)
  p[3] = M(p[3], e, h)
  p
end

.car25519(o) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 56

def self.car25519(o)
  c = 1
  (0..15).each do |i|
    v = o[i] + c + 65_535
    c = (v.to_f / 65_536).floor
    o[i] = v - c * 65_536
  end
  o[0] += c - 1 + 37 * (c - 1)
  o
end

.crypto_hash(out, m, n) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 876

def self.crypto_hash(out, m, n)
  hh = Array.new(8, 0)
  hl = Array.new(8, 0)
  x = Array.new(256, 0)
  b = n

  hh[0] = 0x6a09e667
  hh[1] = 0xbb67ae85
  hh[2] = 0x3c6ef372
  hh[3] = 0xa54ff53a
  hh[4] = 0x510e527f
  hh[5] = 0x9b05688c
  hh[6] = 0x1f83d9ab
  hh[7] = 0x5be0cd19

  hl[0] = 0xf3bcc908
  hl[1] = 0x84caa73b
  hl[2] = 0xfe94f82b
  hl[3] = 0x5f1d36f1
  hl[4] = 0xade682d1
  hl[5] = 0x2b3e6c1f
  hl[6] = 0xfb41bd6b
  hl[7] = 0x137e2179

  hh, hl, m, n = crypto_hashblocks_hl(hh, hl, m, n)
  n %= 128

  (0..n - 1).each { |i| x[i] = m[b - n + i] }
  x[n] = 128

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

  hh, hl, m, n = crypto_hashblocks_hl(hh, hl, x, n)

  (0..7).each { |i| out = ts64(out, 8 * i, hh[i], hl[i]) }
  out.map { |v| Int32.new(v) }
end

.crypto_hashblocks_hl(hh, hl, m, n) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 652

def self.crypto_hashblocks_hl(hh, hl, m, n)
  hh.map! { |v| Int32.new(v) }
  hl.map! { |v| Int32.new(v) }
  m.map! { |v| Int32.new(v) }

  ah = hh.dup
  al = hl.dup

  pos = 0
  while n >= 128

    wh, wl = crypto_hashblocks_wh_wl(m, pos)

    (0..79).each do |i|
      bh = ah.dup
      bl = al.dup

      # add
      h = ah[7].dup
      l = al[7].dup

      a = Int32.new(l & 0xffff)
      b = Int32.new(l).r_shift_pos(16)
      c = Int32.new(h & 0xffff)
      d = Int32.new(h).r_shift_pos(16)

      # Sigma1
      h = Int32.new((ah[4].r_shift_pos(14) | (al[4] << (32 - 14))) ^ (ah[4].r_shift_pos(18) | (al[4] << (32 - 18))) ^ (al[4].r_shift_pos((41 - 32)) | (ah[4] << (32 - (41 - 32)))))
      l = Int32.new((al[4].r_shift_pos(14) | (ah[4] << (32 - 14))) ^ (al[4].r_shift_pos(18) | (ah[4] << (32 - 18))) ^ (ah[4].r_shift_pos((41 - 32)) | (al[4] << (32 - (41 - 32)))))

      a += Int32.new(l & 0xffff)
      b += Int32.new(l).r_shift_pos(16)
      c += Int32.new(h & 0xffff)
      d += Int32.new(h).r_shift_pos(16)

      # Ch
      h = (ah[4] & ah[5]) ^ (~ah[4] & ah[6])
      l = (al[4] & al[5]) ^ (~al[4] & al[6])

      a += l & 0xffff
      b += l.r_shift_pos(16)
      c += h & 0xffff
      d += h.r_shift_pos(16)

      # K
      h = Int32.new(@K[i * 2])
      l = Int32.new(@K[i * 2 + 1])

      a += l & 0xffff
      b += l.r_shift_pos(16)
      c += h & 0xffff
      d += h.r_shift_pos(16)

      # w
      h = wh[i % 16]
      l = wl[i % 16]

      a += l & 0xffff
      b += l.r_shift_pos(16)
      c += h & 0xffff
      d += h.r_shift_pos(16)

      b += a.r_shift_pos(16)
      c += b.r_shift_pos(16)
      d += c.r_shift_pos(16)

      th = c & 0xffff | d << 16
      tl = a & 0xffff | b << 16

      # add
      h = th
      l = tl

      a = l & 0xffff
      b = l.r_shift_pos(16)
      c = h & 0xffff
      d = h.r_shift_pos(16)

      # Sigma0
      h = (ah[0].r_shift_pos(28) | (al[0] << (32 - 28))) ^ (al[0].r_shift_pos((34 - 32)) | (ah[0] << (32 - (34 - 32)))) ^ (al[0].r_shift_pos((39 - 32)) | (ah[0] << (32 - (39 - 32))))
      l = (al[0].r_shift_pos(28) | (ah[0] << (32 - 28))) ^ (ah[0].r_shift_pos((34 - 32)) | (al[0] << (32 - (34 - 32)))) ^ (ah[0].r_shift_pos((39 - 32)) | (al[0] << (32 - (39 - 32))))

      a += l & 0xffff
      b += l.r_shift_pos(16)
      c += h & 0xffff
      d += h.r_shift_pos(16)

      # Maj
      h = (ah[0] & ah[1]) ^ (ah[0] & ah[2]) ^ (ah[1] & ah[2])
      l = (al[0] & al[1]) ^ (al[0] & al[2]) ^ (al[1] & al[2])

      a += l & 0xffff
      b += l.r_shift_pos(16)
      c += h & 0xffff
      d += h.r_shift_pos(16)

      b += a.r_shift_pos(16)
      c += b.r_shift_pos(16)
      d += c.r_shift_pos(16)

      bh[7] = (c & 0xffff) | (d << 16)
      bl[7] = (a & 0xffff) | (b << 16)

      # add
      h = bh[3]
      l = bl[3]

      a = l & 0xffff
      b = l.r_shift_pos(16)
      c = h & 0xffff
      d = h.r_shift_pos(16)

      h = th
      l = tl

      a += l & 0xffff
      b += l.r_shift_pos(16)
      c += h & 0xffff
      d += h.r_shift_pos(16)

      b += a.r_shift_pos(16)
      c += b.r_shift_pos(16)
      d += c.r_shift_pos(16)

      bh[3] = (c & 0xffff) | (d << 16)
      bl[3] = (a & 0xffff) | (b << 16)

      ah[0] = bh[7]
      ah[1..-1] = bh[0..-2]

      al[0] = bl[7]
      al[1..-1] = bl[0..-2]

      next unless i % 16 == 15
      (0..15).each do |j|
        # add
        h = wh[j]
        l = wl[j]

        a = Int32.new(l & 0xffff)
        b = Int32.new(l).r_shift_pos(16)
        c = Int32.new(h & 0xffff)
        d = Int32.new(h).r_shift_pos(16)

        h = wh[(j + 9) % 16]
        l = wl[(j + 9) % 16]

        a += l & 0xffff
        b += l.r_shift_pos(16)
        c += h & 0xffff
        d += h.r_shift_pos(16)

        # sigma0
        th = wh[(j + 1) % 16]
        tl = wl[(j + 1) % 16]
        h = (th.r_shift_pos(1) | (tl << (32 - 1))) ^ (th.r_shift_pos(8) | (tl << (32 - 8))) ^ th.r_shift_pos(7)
        l = (tl.r_shift_pos(1) | (th << (32 - 1))) ^ (tl.r_shift_pos(8) | (th << (32 - 8))) ^ (tl.r_shift_pos(7) | (th << (32 - 7)))

        a += l & 0xffff
        b += l.r_shift_pos(16)
        c += h & 0xffff
        d += h.r_shift_pos(16)

        # sigma1
        th = wh[(j + 14) % 16]
        tl = wl[(j + 14) % 16]
        h = (th.r_shift_pos(19) | (tl << (32 - 19))) ^ (tl.r_shift_pos((61 - 32)) | (th << (32 - (61 - 32)))) ^ th.r_shift_pos(6)

        l = (tl.r_shift_pos(19) | (th << (32 - 19))) ^ (th.r_shift_pos((61 - 32)) | (tl << (32 - (61 - 32)))) ^ (tl.r_shift_pos(6) | (th << (32 - 6)))

        a += l & 0xffff
        b += l.r_shift_pos(16)
        c += h & 0xffff
        d += h.r_shift_pos(16)

        b += a.r_shift_pos(16)
        c += b.r_shift_pos(16)
        d += c.r_shift_pos(16)

        wh[j] = (c & 0xffff) | (d << 16)
        wl[j] = (a & 0xffff) | (b << 16)
      end
    end

    hh, hl, ah, al = hh_hl_update(hh, hl, ah, al)

    pos += 128
    n -= 128
  end
  [hh, hl, m, n]
end

.crypto_hashblocks_wh_wl(m, pos) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 640

def self.crypto_hashblocks_wh_wl(m, pos)
  wh = []
  wl = []
  (0..15).each do |i|
    j = 8 * i + pos
    mj = (0..7).to_a.map { |n| Int32.new(m[j + n].to_i) }
    wh[i] = (mj[0] << 24) | (mj[1] << 16) | (mj[2] << 8) | mj[3]
    wl[i] = (mj[4] << 24) | (mj[5] << 16) | (mj[6] << 8) | mj[7]
  end
  [wh, wl]
end

.crypto_sign_direct(sm, m, n, sk) ⇒ Object

Like crypto_sign, but uses secret key directly in hash.



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# File 'lib/sign/axlsign.rb', line 1035

def self.crypto_sign_direct(sm, m, n, sk)
  h = []
  r = []
  x = []
  p = [gf, gf, gf, gf]

  (0..n - 1).each { |i| sm[64 + i] = m[i] }
  (0..31).each { |i| sm[32 + i] = sk[i] }

  r = crypto_hash(r, sm[32..-1], n + 32)
  r = reduce(r)
  p, r = scalarbase(p, r)
  sm = pack(sm, p)

  (0..31).each { |i| sm[i + 32] = sk[32 + i] }
  h = crypto_hash(h, sm, n + 64)
  h = reduce(h)

  (0..63).each { |i| x[i] = 0 }
  (0..31).each { |i| x[i] = r[i] }
  (0..31).each do |i|
    (0..31).each do |j|
      x[i + j] += (h[i] * sk[j]).to_i
    end
  end

  sm[32..-1] = modL(sm[32..-1], x)

  [sm, m, n + 64, sk]
end

.crypto_sign_direct_rnd(sm, m, n, sk, rnd) ⇒ Object

Note: sm must be n+128.



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# File 'lib/sign/axlsign.rb', line 1067

def self.crypto_sign_direct_rnd(sm, m, n, sk, rnd)
  h = []
  r = []
  x = []
  p = [gf, gf, gf, gf]

  # Hash separation.
  sm[0] = 0xfe
  (0..31).each { |i| sm[i] = 0xff }

  # Secret key.
  (0..31).each { |i| sm[32 + i] = sk[i] }

  # Message.
  (0..n - 1).each { |i| sm[64 + i] = m[i] }

  # Random suffix.
  (0..63).each { |i| sm[n + 64 + i] = rnd[i] }

  r = crypto_hash(r, sm, n + 128)
  r = reduce(r)
  p, r = scalarbase(p, r)
  sm = pack(sm, p)

  (0..31).each { |i| sm[i + 32] = sk[32 + i] }
  h = crypto_hash(h, sm, n + 64)
  h = reduce(h)

  # Wipe out random suffix.
  (0..63).each { |i| sm[n + 64 + i] = 0 }

  (0..63).each { |i| x[i] = 0 }
  (0..31).each { |i| x[i] = r[i] }

  (0..31).each do |i|
    (0..31).each do |j|
      x[i + j] += h[i] * sk[j]
    end
  end

  sm[32..n + 63] = modL(sm[32..n + 63], x)

  [sm, m, n + 64, sk, rnd]
end

.cswap(p, q, b) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 949

def self.cswap(p, q, b)
  (0..3).each do |i|
    p[i], q[i] = sel25519(p[i], q[i], b)
  end
  [p, q]
end

.curve25519_sign(sm, m, n, sk, opt_rnd) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 1112

def self.curve25519_sign(sm, m, n, sk, opt_rnd)
  # If opt_rnd is provided, sm must have n + 128,
  # otherwise it must have n + 64 bytes.

  # Convert Curve25519 secret key into Ed25519 secret key (includes pub key).
  edsk = Array.new(64, 0)
  p = [gf, gf, gf, gf]

  (0..31).each { |i| edsk[i] = sk[i] }
  # Ensure private key is in the correct format.
  edsk[0] &= 248
  edsk[31] &= 127
  edsk[31] |= 64

  p, edsk = scalarbase(p, edsk)
  edsk[32..-1] = pack(edsk[32..-1], p)

  # Remember sign bit.
  signBit = edsk[63] & 128

  if opt_rnd
    sm, m, n, edsk, opt_rnd = crypto_sign_direct_rnd(sm, m, n, edsk, opt_rnd)
  else
    sm, m, smlen, edsk = crypto_sign_direct(sm, m, n, edsk)
  end

  # Copy sign bit from public key into signature.
  sm[63] |= signBit
  sm
end

.gf(init = nil) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 22

def self.gf(init = nil)
  r = Array.new(16, 0)
  (0..init.length - 1).each { |i| r[i] = init[i] } if init
  r
end

.hh_hl_update(hh, hl, ah, al) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 844

def self.hh_hl_update(hh, hl, ah, al)
  hh.map! { |v| Int32.new(v) }
  hl.map! { |v| Int32.new(v) }
  ah.map! { |v| Int32.new(v) }
  al.map! { |v| Int32.new(v) }
  (0..7).each do |n|
    h = ah[n]
    l = al[n]

    a = l & 0xffff
    b = l.r_shift_pos(16)
    c = h & 0xffff
    d = h.r_shift_pos(16)

    h = hh[n]
    l = hl[n]

    a += l & 0xffff
    b += l.r_shift_pos(16)
    c += h & 0xffff
    d += h.r_shift_pos(16)

    b += a.r_shift_pos(16)
    c += b.r_shift_pos(16)
    d += c.r_shift_pos(16)

    hh[n] = ah[n] = (c & 0xffff) | (d << 16)
    hl[n] = al[n] = (a & 0xffff) | (b << 16)
  end
  [hh, hl, ah, al]
end

.inv25519(o, i) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 586

def self.inv25519(o, i)
  c = gf
  (0..15).each { |a| c[a] = i[a] }
  (0..253).to_a.reverse.each do |a|
    c = S(c, c)
    c = M(c, c, i) if a != 2 && a != 4
  end
  (0..15).each { |a| o[a] = c[a] }
  o
end

.M(o, a, b) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 118

def self.M(o, a, b)
  t0 = 0
  t1 = 0
  t2 = 0
  t3 = 0
  t4 = 0
  t5 = 0
  t6 = 0
  t7 = 0
  t8 = 0
  t9 = 0
  t10 = 0
  t11 = 0
  t12 = 0
  t13 = 0
  t14 = 0
  t15 = 0
  t16 = 0
  t17 = 0
  t18 = 0
  t19 = 0
  t20 = 0
  t21 = 0
  t22 = 0
  t23 = 0
  t24 = 0
  t25 = 0
  t26 = 0
  t27 = 0
  t28 = 0
  t29 = 0
  t30 = 0
  b0 = b[0]
  b1 = b[1]
  b2 = b[2]
  b3 = b[3]
  b4 = b[4]
  b5 = b[5]
  b6 = b[6]
  b7 = b[7]
  b8 = b[8]
  b9 = b[9]
  b10 = b[10]
  b11 = b[11]
  b12 = b[12]
  b13 = b[13]
  b14 = b[14]
  b15 = b[15]

  v = a[0]
  t0 += v * b0
  t1 += v * b1
  t2 += v * b2
  t3 += v * b3
  t4 += v * b4
  t5 += v * b5
  t6 += v * b6
  t7 += v * b7
  t8 += v * b8
  t9 += v * b9
  t10 += v * b10
  t11 += v * b11
  t12 += v * b12
  t13 += v * b13
  t14 += v * b14
  t15 += v * b15
  v = a[1]
  t1 += v * b0
  t2 += v * b1
  t3 += v * b2
  t4 += v * b3
  t5 += v * b4
  t6 += v * b5
  t7 += v * b6
  t8 += v * b7
  t9 += v * b8
  t10 += v * b9
  t11 += v * b10
  t12 += v * b11
  t13 += v * b12
  t14 += v * b13
  t15 += v * b14
  t16 += v * b15
  v = a[2]
  t2 += v * b0
  t3 += v * b1
  t4 += v * b2
  t5 += v * b3
  t6 += v * b4
  t7 += v * b5
  t8 += v * b6
  t9 += v * b7
  t10 += v * b8
  t11 += v * b9
  t12 += v * b10
  t13 += v * b11
  t14 += v * b12
  t15 += v * b13
  t16 += v * b14
  t17 += v * b15
  v = a[3]
  t3 += v * b0
  t4 += v * b1
  t5 += v * b2
  t6 += v * b3
  t7 += v * b4
  t8 += v * b5
  t9 += v * b6
  t10 += v * b7
  t11 += v * b8
  t12 += v * b9
  t13 += v * b10
  t14 += v * b11
  t15 += v * b12
  t16 += v * b13
  t17 += v * b14
  t18 += v * b15
  v = a[4]
  t4 += v * b0
  t5 += v * b1
  t6 += v * b2
  t7 += v * b3
  t8 += v * b4
  t9 += v * b5
  t10 += v * b6
  t11 += v * b7
  t12 += v * b8
  t13 += v * b9
  t14 += v * b10
  t15 += v * b11
  t16 += v * b12
  t17 += v * b13
  t18 += v * b14
  t19 += v * b15
  v = a[5]
  t5 += v * b0
  t6 += v * b1
  t7 += v * b2
  t8 += v * b3
  t9 += v * b4
  t10 += v * b5
  t11 += v * b6
  t12 += v * b7
  t13 += v * b8
  t14 += v * b9
  t15 += v * b10
  t16 += v * b11
  t17 += v * b12
  t18 += v * b13
  t19 += v * b14
  t20 += v * b15
  v = a[6]
  t6 += v * b0
  t7 += v * b1
  t8 += v * b2
  t9 += v * b3
  t10 += v * b4
  t11 += v * b5
  t12 += v * b6
  t13 += v * b7
  t14 += v * b8
  t15 += v * b9
  t16 += v * b10
  t17 += v * b11
  t18 += v * b12
  t19 += v * b13
  t20 += v * b14
  t21 += v * b15
  v = a[7]
  t7 += v * b0
  t8 += v * b1
  t9 += v * b2
  t10 += v * b3
  t11 += v * b4
  t12 += v * b5
  t13 += v * b6
  t14 += v * b7
  t15 += v * b8
  t16 += v * b9
  t17 += v * b10
  t18 += v * b11
  t19 += v * b12
  t20 += v * b13
  t21 += v * b14
  t22 += v * b15
  v = a[8]
  t8 += v * b0
  t9 += v * b1
  t10 += v * b2
  t11 += v * b3
  t12 += v * b4
  t13 += v * b5
  t14 += v * b6
  t15 += v * b7
  t16 += v * b8
  t17 += v * b9
  t18 += v * b10
  t19 += v * b11
  t20 += v * b12
  t21 += v * b13
  t22 += v * b14
  t23 += v * b15
  v = a[9]
  t9 += v * b0
  t10 += v * b1
  t11 += v * b2
  t12 += v * b3
  t13 += v * b4
  t14 += v * b5
  t15 += v * b6
  t16 += v * b7
  t17 += v * b8
  t18 += v * b9
  t19 += v * b10
  t20 += v * b11
  t21 += v * b12
  t22 += v * b13
  t23 += v * b14
  t24 += v * b15
  v = a[10]
  t10 += v * b0
  t11 += v * b1
  t12 += v * b2
  t13 += v * b3
  t14 += v * b4
  t15 += v * b5
  t16 += v * b6
  t17 += v * b7
  t18 += v * b8
  t19 += v * b9
  t20 += v * b10
  t21 += v * b11
  t22 += v * b12
  t23 += v * b13
  t24 += v * b14
  t25 += v * b15
  v = a[11]
  t11 += v * b0
  t12 += v * b1
  t13 += v * b2
  t14 += v * b3
  t15 += v * b4
  t16 += v * b5
  t17 += v * b6
  t18 += v * b7
  t19 += v * b8
  t20 += v * b9
  t21 += v * b10
  t22 += v * b11
  t23 += v * b12
  t24 += v * b13
  t25 += v * b14
  t26 += v * b15
  v = a[12]
  t12 += v * b0
  t13 += v * b1
  t14 += v * b2
  t15 += v * b3
  t16 += v * b4
  t17 += v * b5
  t18 += v * b6
  t19 += v * b7
  t20 += v * b8
  t21 += v * b9
  t22 += v * b10
  t23 += v * b11
  t24 += v * b12
  t25 += v * b13
  t26 += v * b14
  t27 += v * b15
  v = a[13]
  t13 += v * b0
  t14 += v * b1
  t15 += v * b2
  t16 += v * b3
  t17 += v * b4
  t18 += v * b5
  t19 += v * b6
  t20 += v * b7
  t21 += v * b8
  t22 += v * b9
  t23 += v * b10
  t24 += v * b11
  t25 += v * b12
  t26 += v * b13
  t27 += v * b14
  t28 += v * b15
  v = a[14]
  t14 += v * b0
  t15 += v * b1
  t16 += v * b2
  t17 += v * b3
  t18 += v * b4
  t19 += v * b5
  t20 += v * b6
  t21 += v * b7
  t22 += v * b8
  t23 += v * b9
  t24 += v * b10
  t25 += v * b11
  t26 += v * b12
  t27 += v * b13
  t28 += v * b14
  t29 += v * b15
  v = a[15]
  t15 += v * b0
  t16 += v * b1
  t17 += v * b2
  t18 += v * b3
  t19 += v * b4
  t20 += v * b5
  t21 += v * b6
  t22 += v * b7
  t23 += v * b8
  t24 += v * b9
  t25 += v * b10
  t26 += v * b11
  t27 += v * b12
  t28 += v * b13
  t29 += v * b14
  t30 += v * b15

  t0  += 38 * t16
  t1  += 38 * t17
  t2  += 38 * t18
  t3  += 38 * t19
  t4  += 38 * t20
  t5  += 38 * t21
  t6  += 38 * t22
  t7  += 38 * t23
  t8  += 38 * t24
  t9  += 38 * t25
  t10 += 38 * t26
  t11 += 38 * t27
  t12 += 38 * t28
  t13 += 38 * t29
  t14 += 38 * t30
  # t15 left as is

  # first car
  c = 1
  v = t0 + c + 65_535
  c = (v.to_f / 65_536).floor
  t0 = v - c * 65_536
  v =  t1 + c + 65_535
  c = (v.to_f / 65_536).floor
  t1 = v - c * 65_536
  v =  t2 + c + 65_535
  c = (v.to_f / 65_536).floor
  t2 = v - c * 65_536
  v =  t3 + c + 65_535
  c = (v.to_f / 65_536).floor
  t3 = v - c * 65_536
  v =  t4 + c + 65_535
  c = (v.to_f / 65_536).floor
  t4 = v - c * 65_536
  v =  t5 + c + 65_535
  c = (v.to_f / 65_536).floor
  t5 = v - c * 65_536
  v =  t6 + c + 65_535
  c = (v.to_f / 65_536).floor
  t6 = v - c * 65_536
  v =  t7 + c + 65_535
  c = (v.to_f / 65_536).floor
  t7 = v - c * 65_536
  v = t8 + c + 65_535
  c = (v.to_f / 65_536).floor
  t8 = v - c * 65_536
  v =  t9 + c + 65_535
  c = (v.to_f / 65_536).floor
  t9 = v - c * 65_536
  v = t10 + c + 65_535
  c = (v.to_f / 65_536).floor
  t10 = v - c * 65_536
  v = t11 + c + 65_535
  c = (v.to_f / 65_536).floor
  t11 = v - c * 65_536
  v = t12 + c + 65_535
  c = (v.to_f / 65_536).floor
  t12 = v - c * 65_536
  v = t13 + c + 65_535
  c = (v.to_f / 65_536).floor
  t13 = v - c * 65_536
  v = t14 + c + 65_535
  c = (v.to_f / 65_536).floor
  t14 = v - c * 65_536
  v = t15 + c + 65_535
  c = (v.to_f / 65_536).floor
  t15 = v - c * 65_536

  t0 += c - 1 + 37 * (c - 1)

  # second car
  c = 1
  v = t0 + c + 65_535
  c = (v.to_f / 65_536).floor
  t0 = v - c * 65_536
  v =  t1 + c + 65_535
  c = (v.to_f / 65_536).floor
  t1 = v - c * 65_536
  v =  t2 + c + 65_535
  c = (v.to_f / 65_536).floor
  t2 = v - c * 65_536
  v =  t3 + c + 65_535
  c = (v.to_f / 65_536).floor
  t3 = v - c * 65_536
  v =  t4 + c + 65_535
  c = (v.to_f / 65_536).floor
  t4 = v - c * 65_536
  v =  t5 + c + 65_535
  c = (v.to_f / 65_536).floor
  t5 = v - c * 65_536
  v =  t6 + c + 65_535
  c = (v.to_f / 65_536).floor
  t6 = v - c * 65_536
  v =  t7 + c + 65_535
  c = (v.to_f / 65_536).floor
  t7 = v - c * 65_536
  v =  t8 + c + 65_535
  c = (v.to_f / 65_536).floor
  t8 = v - c * 65_536
  v =  t9 + c + 65_535
  c = (v.to_f / 65_536).floor
  t9 = v - c * 65_536
  v = t10 + c + 65_535
  c = (v.to_f / 65_536).floor
  t10 = v - c * 65_536
  v = t11 + c + 65_535
  c = (v.to_f / 65_536).floor
  t11 = v - c * 65_536
  v = t12 + c + 65_535
  c = (v.to_f / 65_536).floor
  t12 = v - c * 65_536
  v = t13 + c + 65_535
  c = (v.to_f / 65_536).floor
  t13 = v - c * 65_536
  v = t14 + c + 65_535
  c = (v.to_f / 65_536).floor
  t14 = v - c * 65_536
  v = t15 + c + 65_535
  c = (v.to_f / 65_536).floor
  t15 = v - c * 65_536

  t0 += c - 1 + 37 * (c - 1)

  o[0] = t0
  o[1] = t1
  o[2] = t2
  o[3] = t3
  o[4] = t4
  o[5] = t5
  o[6] = t6
  o[7] = t7
  o[8] = t8
  o[9] = t9
  o[10] = t10
  o[11] = t11
  o[12] = t12
  o[13] = t13
  o[14] = t14
  o[15] = t15
  o
end

.modL(r, x) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 997

def self.modL(r, x)
  r.map! { |v| Int32.new(v) }
  (32..63).to_a.reverse.each do |i|
    carry = 0
    k = i - 13
    jtemp = 0
    (i - 32..k).to_a.each do |j|
      jtemp = j + 1
      x[j] = x[j].to_i + carry - 16 * x[i].to_i * @L[j - (i - 32)]
      carry = (x[j] + 128) >> 8 # >>
      x[j] -= carry * 256
    end
    x[jtemp] += carry
    x[i] = 0
  end
  carry = 0
  (0..31).each do |j|
    x[j] += carry - (x[31].to_i >> 4) * @L[j] # >>
    carry = x[j] >> 8 # >>
    x[j] &= 255
  end
  (0..31).each { |j| x[j] -= carry * @L[j] }
  (0..31).each do |i|
    x[i + 1] += x[i].to_i >> 8 # >>
    r[i] = x[i] & 255
  end
  r
end

.pack(r, p) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 956

def self.pack(r, p)
  tx = gf
  ty = gf
  zi = gf
  zi = inv25519(zi, p[2])
  tx = M(tx, p[0], zi)

  ty = M(ty, p[1], zi)
  r = pack25519(r, ty)

  r[31] ^= par25519(tx) << 7
  r
end

.pack25519(o, n) ⇒ Object

>>



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# File 'lib/sign/axlsign.rb', line 77

def self.pack25519(o, n) # >>
  m = gf
  t = gf
  (0..15).each { |i| t[i] = n[i] }
  t = car25519(t)
  t = car25519(t)
  t = car25519(t)
  (0..1).each do |_j|
    m[0] = t[0] - 0xffed
    (1..14).each do |i|
      m[i] = t[i] - 0xffff - ((m[i - 1] >> 16) & 1)
      m[i - 1] &= 0xffff
    end
    m[15] = t[15] - 0x7fff - ((m[14] >> 16) & 1)
    b = (m[15] >> 16) & 1
    m[14] &= 0xffff
    t, m = sel25519(t, m, 1 - b)
  end
  (0..15).each do |i|
    o[2 * i] = t[i] & 0xff
    o[2 * i + 1] = t[i] >> 8
  end
  o
end

.par25519(a) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 102

def self.par25519(a)
  d = []
  d = pack25519(d, a)
  d[0] & 1
end

.reduce(r) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 1026

def self.reduce(r)
  x = []
  (0..63).each { |i| x[i] = r[i] }
  (0..63).each { |i| r[i] = 0 }
  r = modL(r, x)
  r
end

.S(o, a) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 582

def self.S(o, a)
  M(o, a, a)
end

.scalarbase(p, s) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 985

def self.scalarbase(p, s)
  q = [gf, gf, gf, gf]
  q[0] = set25519(q[0], @X)
  q[1] = set25519(q[1], @Y)
  q[2] = set25519(q[2], @gf1)
  q[3] = M(q[3], @X, @Y)
  p, q, s = scalarmult(p, q, s)
  [p, s]
end

.scalarmult(p, q, s) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 970

def self.scalarmult(p, q, s)
  p[0] = set25519(p[0], @gf0)
  p[1] = set25519(p[1], @gf1)
  p[2] = set25519(p[2], @gf1)
  p[3] = set25519(p[3], @gf0)
  (0..255).to_a.reverse.each do |i|
    b = (s[(i / 8) | 0] >> (i & 7)) & 1 # >>
    p, q = cswap(p, q, b)
    q = add(q, p)
    p = add(p, p)
    p, q = cswap(p, q, b)
  end
  [p, q, s]
end

.sel25519(p, q, b) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 67

def self.sel25519(p, q, b)
  c = ~(b - 1)
  (0..15).each do |i|
    t = c & (p[i] ^ q[i])
    p[i] ^= t.to_i
    q[i] ^= t.to_i
  end
  [p, q]
end

.set25519(r, a) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 51

def self.set25519(r, a)
  (0..15).each { |i| r[i] = a[i] | 0 }
  r
end

.sign(secret_key, msg, opt_random = SecureRandom.random_bytes(64).bytes) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 1143

def self.sign(secret_key, msg, opt_random = SecureRandom.random_bytes(64).bytes)
  raise 'wrong secret key length' if secret_key.length != 32
  if opt_random
    raise 'wrong random data length' if opt_random.length != 64
  end
  buf = []
  buf = curve25519_sign(buf, msg, msg.length, secret_key, opt_random)
  signature = []
  (0..63).each { |i| signature[i] = buf[i] }
  signature.map(&:to_i)
end

.ts64(x, i, h, l) ⇒ Object

>>



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# File 'lib/sign/axlsign.rb', line 39

def self.ts64(x, i, h, l) # >>
  x[i] = (h >> 24) & 0xff
  x[i + 1] = (h >> 16) & 0xff
  x[i + 2] = (h >> 8) & 0xff
  x[i + 3] = h & 0xff
  x[i + 4] = (l >> 24)  & 0xff
  x[i + 5] = (l >> 16)  & 0xff
  x[i + 6] = (l >> 8) & 0xff
  x[i + 7] = l & 0xff
  x
end

.Z(o, a, b) ⇒ Object 



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# File 'lib/sign/axlsign.rb', line 113

def self.Z(o, a, b)
  (0..15).each { |i| o[i] = a[i] - b[i] }
  o
end