### Local tests for Ed25519

verify {
  ## Check that noncanonical scalars are rejected.  The base test is repeated
  ## from the main suite; let s be the scalar part of the signature, and ℓ be
  ## the curve order.  The negative test has s' = s + ℓ < 2^254, so the value
  ## fits.
  74d29127f199d86a8676aec33b4ce3f225ccb191f52c191ccd1e8cca65213a6b
    bd8e05033f3a8bcdcbf4beceb70901c82e31
    fbe929d743a03c17910575492f3092ee2a2bf14a60a3fcacec74a58c7334510fc262db582791322d6c8c41f1700adb80027ecabc14270b703444ae3ee7623e0a
    0;
  74d29127f199d86a8676aec33b4ce3f225ccb191f52c191ccd1e8cca65213a6b
    bd8e05033f3a8bcdcbf4beceb70901c82e31
    fbe929d743a03c17910575492f3092ee2a2bf14a60a3fcacec74a58c7334510faf36d1b541f44485422939944f04ba95027ecabc14270b703444ae3ee7623e1a
    -1;

  ## OK, so this is a massive cheat, but otherwise testing that out-of-range
  ## coordinates are rejected is really hard.  Pick A = (0, 1), which is the
  ## identity in E.  Then n A = A for all n; in particular, H(R, A, M) A = A
  ## for any choice of R and M.  Furthermore, R = R + H(R, A, M) A for any R.
  ## Let's pick R = A = (0, 1), because that seems to be working out for us.
  ## Then s P = R + H(R, A, M) A exactly when s = 0 (mod ℓ).
  ##
  ## This is obviously a really daft choice of public key for security,
  ## because the following is a completely general-purpose signature for all
  ## messages.
  ##
  ## Why bother, you ask?  Well, because (0, 1) is one of the few points
  ## which has a reduntant representation.  So we can use this to check that
  ## we're correctly rejecting signatures which aren't in normal form.
  0100000000000000000000000000000000000000000000000000000000000000
    416c6c2d707572706f7365207369676e6174757265210a
    01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
    0;
  eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f
    416c6c2d707572706f7365207369676e6174757265210a
    01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
    -1;
  0100000000000000000000000000000000000000000000000000000000000000
    416c6c2d707572706f7365207369676e6174757265210a
    eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f0000000000000000000000000000000000000000000000000000000000000000
    -1;
}