ENHANCED: Eliminate the OpenSSL dependency of library(crypto).
This is achieved by using the newly available crrl crate by @pornin to implement crypto_curve_scalar_mult/4 for secp256k1. Many thanks!
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@@ -763,10 +763,14 @@ crypto_curve_scalar_mult(Curve, Scalar, point(X,Y), point(RX, RY)) :-
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curve_field_length(Curve, L0),
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L #= 2*L0, % for hex encoding
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phrase(format_("04~|~`0t~16r~*+~`0t~16r~*+", [X,L,Y,L]), Hex),
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hex_bytes(Hex, Bytes),
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'$crypto_curve_scalar_mult'(Name, Scalar, Bytes, SX, SY),
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number_chars(RX, SX),
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number_chars(RY, SY).
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hex_bytes(Hex, PointBytes),
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once(bytes_integer(ScalarBytes, Scalar)),
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'$crypto_curve_scalar_mult'(Name, ScalarBytes, PointBytes, [_|Us]),
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maplist(char_code, Us, Bs),
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length(BXs0, 32),
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append(BXs0, BYs0, Bs),
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maplist(reverse, [BXs0,BYs0], Rs),
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maplist(bytes_integer, Rs, [RX,RY]).
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/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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?- crypto_name_curve(secp256k1, Curve),
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@@ -818,16 +822,6 @@ fitting_exponent(N, E0, E) :-
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fitting_exponent(N, E1, E)
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).
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crypto_name_curve(secp112r1,
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curve(secp112r1,
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0x00db7c2abf62e35e668076bead208b,
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0x00db7c2abf62e35e668076bead2088,
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0x659ef8ba043916eede8911702b22,
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point(0x09487239995a5ee76b55f9c2f098,
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0xa89ce5af8724c0a23e0e0ff77500),
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0x00db7c2abf62e35e7628dfac6561c5,
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14,
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1)).
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crypto_name_curve(secp256k1,
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curve(secp256k1,
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0x00fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,
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