Cleanup and fix type specs
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@ -11,12 +11,12 @@
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-type pt_affine() :: {non_neg_integer(), non_neg_integer()}. %% {X, Y}
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-type pt_hom_ext() :: {non_neg_integer(), non_neg_integer(),
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non_neg_integer(), non_neg_integer()}. %% {X, Y, Z, T}
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-type pt_compressed() :: <<_:32>>. %% Y coord + odd/even X.
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-type pt_compressed() :: <<_:256>>. %% Y coord + odd/even X.
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-type pt() :: pt_affine() | pt_hom_ext() | pt_compressed().
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%% -type fld_elem() :: 0..(?P-1).
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-type scalar() :: 0..(?N-1).
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-type scalar() :: 0..(?N-1).
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-define(D, 16#52036CEE2B6FFE738CC740797779E89800700A4D4141D8AB75EB4DCA135978A3).
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-define(X, 16#216936D3CD6E53FEC0A4E231FDD6DC5C692CC7609525A7B2C9562D608F25D51A).
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@ -33,6 +33,8 @@
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-define(SUB(A, B), ((A - B + ?P) rem ?P)).
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-define(DIV(A, B), f_div(A, B)).
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-export_type([pt/0, scalar/0]).
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-export([on_curve/1, p/0, n/0, pt_eq/2,
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scalar_mul/2, scalar_mul_base/1,
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scalar_mul_noclamp/2, scalar_mul_base_noclamp/1,
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@ -76,14 +78,14 @@ n() -> ?N.
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-define(TWO_POW_255_MINUS_1, 16#7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF).
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-spec compress(P :: pt()) -> <<_:32>>.
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-spec compress(P :: pt()) -> pt_compressed().
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compress(<<_:32/binary>> = P) -> P;
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compress({_, _, _, _} = P) -> compress(to_affine(P));
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compress({X, Y}) ->
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V = (Y band ?TWO_POW_255_MINUS_1) bor ((X band 1) bsl 255),
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<<V:256/little>>.
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-spec decompress(<<_:32>>) -> pt_hom_ext().
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-spec decompress(pt_compressed()) -> pt_hom_ext().
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decompress(<<Y0:256/little>>) ->
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X0 = Y0 bsr 255,
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Y = Y0 band ?TWO_POW_255_MINUS_1,
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@ -16,23 +16,22 @@
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%%
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%% The keypair is returned as a map with keys 'public' and 'secret'.
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%% @end
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-spec sign_keypair() -> #{ atom() => binary() }.
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-spec sign_keypair() -> #{ public => binary(), secret => binary() }.
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sign_keypair() ->
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Secret = crypto:strong_rand_bytes(32),
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<<Seed:32/bytes, _/binary>> = crypto:hash(sha512, Secret),
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<<Seed:32/binary, _/binary>> = crypto:hash(sha512, Secret),
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Pub = ecu_ed25519:scalar_mul_base(Seed),
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Pub = ecu_ed25519:compress(ecu_ed25519:scalar_mul_base(Seed)),
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#{public => Pub, secret => <<Secret:32/binary, Pub:32/binary>>}.
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%% @doc sign_seed_keypair/1 computes the signing keypair from a seed.
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%%
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%% The keypair is returned as a map with keys 'public' and 'secret'.
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%% @end
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-spec sign_seed_keypair(Seed :: <<_:32>>) -> #{ atom() => binary() }.
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-spec sign_seed_keypair(Secret :: <<_:256>>) -> #{ public => binary(), secret => binary() }.
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sign_seed_keypair(Secret) ->
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<<Seed:32/bytes, _/binary>> = crypto:hash(sha512, Secret),
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<<Seed:32/binary, _/binary>> = crypto:hash(sha512, Secret),
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Pub = ecu_ed25519:compress(ecu_ed25519:scalar_mul_base(Seed)),
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%% Pub = enacl:crypto_ed25519_scalarmult_base(Seed),
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#{public => Pub, secret => <<Secret:32/binary, Pub:32/binary>>}.
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@ -41,7 +40,7 @@ sign_seed_keypair(Secret) ->
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%% Given a message `Msg' and a secret key `SK' the function will sign the
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%% message and return a signed message `SM'.
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%% @end
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-spec sign(Msg :: iodata(), SK :: <<_:32>> | <<_:64>>) -> SM :: binary().
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-spec sign(Msg :: iodata(), SK :: <<_:256>> | <<_:512>>) -> SM :: binary().
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sign(Msg, SK) ->
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BinMsg = iolist_to_binary(Msg),
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Sig = sign_detached(Msg, SK),
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@ -54,12 +53,12 @@ sign(Msg, SK) ->
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%% `{error, failed_verification}' depending on the correctness of the
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%% signature.
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%% @end
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-spec sign_open(SMsg :: binary(), PK :: <<_:32>>) ->
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-spec sign_open(SMsg :: binary(), PK :: <<_:256>>) ->
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{ok, Msg :: binary()} | {error, failed_verification}.
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sign_open(<<Sig:64/binary, BinMsg/binary>>, PK) ->
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<<R:32/bytes, Ss:32/bytes>> = Sig,
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<<R:32/binary, Ss:32/binary>> = Sig,
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Ks0 = crypto:hash(sha512, <<R/bytes, PK/bytes, BinMsg/bytes>>),
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Ks0 = crypto:hash(sha512, <<R/binary, PK/binary, BinMsg/binary>>),
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Ks = ecu_ed25519:scalar_reduce(Ks0),
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LHS = ecu_ed25519:scalar_mul_base_noclamp(Ss),
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@ -77,7 +76,7 @@ sign_open(<<Sig:64/binary, BinMsg/binary>>, PK) ->
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%% Given a message `Msg' and a secret key `SK' the function will compute the
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%% digital signature `Sig'.
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%% @end
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-spec sign_detached(Msg :: iodata(), SK :: <<_:32>>) -> Sig :: binary().
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-spec sign_detached(Msg :: iodata(), SK :: <<_:256>> | <<_:512>>) -> Sig :: binary().
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sign_detached(Msg, SK) ->
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BinMsg = iolist_to_binary(Msg),
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<<Secret:32/binary, _/binary>> = SK,
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@ -119,12 +118,12 @@ sign_detached(Msg, SK) ->
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%% function computes true iff the `Sig' is valid for `Msg' and `PK'; and,
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%% false otherwise.
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%% @end
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-spec sign_verify_detached(Sig :: <<_:64>>, Msg :: iodata(), PK :: <<_:32>>) -> boolean().
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-spec sign_verify_detached(Sig :: <<_:512>>, Msg :: iodata(), PK :: <<_:256>>) -> boolean().
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sign_verify_detached(Sig, Msg, PK) ->
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BinMsg = iolist_to_binary(Msg),
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<<R:32/bytes, Ss:32/bytes>> = Sig,
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<<R:32/binary, Ss:32/binary>> = Sig,
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Ks0 = crypto:hash(sha512, <<R/bytes, PK/bytes, BinMsg/bytes>>),
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Ks0 = crypto:hash(sha512, <<R/binary, PK/binary, BinMsg/binary>>),
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Ks = ecu_ed25519:scalar_reduce(Ks0),
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LHS = ecu_ed25519:scalar_mul_base_noclamp(Ss),
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@ -136,5 +135,5 @@ sign_verify_detached(Sig, Msg, PK) ->
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%% Clamp a 32-byte little-endian integer - i.e clear the lowest three bits
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%% of the first byte and clear the highest and set the second highest of
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%% the last byte (i.e. making it divisible by 8 and
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clamp(<<B0:8, B1_30:30/bytes, B31:8>>) ->
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<<(B0 band 16#f8):8, B1_30/bytes, ((B31 band 16#7f) bor 16#40):8>>.
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clamp(<<B0:8, B1_30:30/binary, B31:8>>) ->
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<<(B0 band 16#f8):8, B1_30/binary, ((B31 band 16#7f) bor 16#40):8>>.
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