# encoding: ascii-8bit # autoload when you need to re-generate a public_key from only its private_key. # ported from: https://github.com/sipa/bitcoin/blob/2d40fe4da9ea82af4b652b691a4185431d6e47a8/key.h require 'ffi' module Bitcoin module OpenSSL_EC extend FFI::Library if FFI::Platform.windows? ffi_lib 'libeay32', 'ssleay32' else ffi_lib 'ssl' end NID_secp256k1 = 714 POINT_CONVERSION_COMPRESSED = 2 POINT_CONVERSION_UNCOMPRESSED = 4 attach_function :SSL_library_init, [], :int attach_function :ERR_load_crypto_strings, [], :void attach_function :SSL_load_error_strings, [], :void attach_function :RAND_poll, [], :int attach_function :BN_CTX_free, [:pointer], :int attach_function :BN_CTX_new, [], :pointer attach_function :BN_add, [:pointer, :pointer, :pointer], :int attach_function :BN_bin2bn, [:pointer, :int, :pointer], :pointer attach_function :BN_bn2bin, [:pointer, :pointer], :int attach_function :BN_cmp, [:pointer, :pointer], :int attach_function :BN_copy, [:pointer, :pointer], :pointer attach_function :BN_dup, [:pointer], :pointer attach_function :BN_free, [:pointer], :int attach_function :BN_mod_inverse, [:pointer, :pointer, :pointer, :pointer], :pointer attach_function :BN_mod_mul, [:pointer, :pointer, :pointer, :pointer, :pointer], :int attach_function :BN_mod_sub, [:pointer, :pointer, :pointer, :pointer, :pointer], :int attach_function :BN_mul_word, [:pointer, :int], :int attach_function :BN_new, [], :pointer attach_function :BN_rshift, [:pointer, :pointer, :int], :int attach_function :BN_rshift1, [:pointer, :pointer], :int attach_function :BN_set_word, [:pointer, :int], :int attach_function :BN_sub, [:pointer, :pointer, :pointer], :int attach_function :EC_GROUP_get_curve_GFp, [:pointer, :pointer, :pointer, :pointer, :pointer], :int attach_function :EC_GROUP_get_degree, [:pointer], :int attach_function :EC_GROUP_get_order, [:pointer, :pointer, :pointer], :int attach_function :EC_KEY_free, [:pointer], :int attach_function :EC_KEY_get0_group, [:pointer], :pointer attach_function :EC_KEY_get0_private_key, [:pointer], :pointer attach_function :EC_KEY_new_by_curve_name, [:int], :pointer attach_function :EC_KEY_set_conv_form, [:pointer, :int], :void attach_function :EC_KEY_set_private_key, [:pointer, :pointer], :int attach_function :EC_KEY_set_public_key, [:pointer, :pointer], :int attach_function :EC_POINT_free, [:pointer], :int attach_function :EC_POINT_is_at_infinity, [:pointer, :pointer], :int attach_function :EC_POINT_mul, [:pointer, :pointer, :pointer, :pointer, :pointer, :pointer], :int attach_function :EC_POINT_new, [:pointer], :pointer attach_function :EC_POINT_set_compressed_coordinates_GFp, [:pointer, :pointer, :pointer, :int, :pointer], :int attach_function :d2i_ECPrivateKey, [:pointer, :pointer, :long], :pointer attach_function :i2d_ECPrivateKey, [:pointer, :pointer], :int attach_function :i2o_ECPublicKey, [:pointer, :pointer], :uint attach_function :EC_KEY_check_key, [:pointer], :uint attach_function :ECDSA_do_sign, [:pointer, :uint, :pointer], :pointer attach_function :BN_num_bits, [:pointer], :int attach_function :ECDSA_SIG_free, [:pointer], :void attach_function :EC_POINT_add, [:pointer, :pointer, :pointer, :pointer, :pointer], :int attach_function :EC_POINT_point2hex, [:pointer, :pointer, :int, :pointer], :string attach_function :EC_POINT_hex2point, [:pointer, :string, :pointer, :pointer], :pointer attach_function :ECDSA_SIG_new, [], :pointer attach_function :d2i_ECDSA_SIG, [:pointer, :pointer, :long], :pointer attach_function :i2d_ECDSA_SIG, [:pointer, :pointer], :int attach_function :OPENSSL_free, :CRYPTO_free, [:pointer], :void def self.BN_num_bytes(ptr); (BN_num_bits(ptr) + 7) / 8; end # resolve public from private key, using ffi and libssl.so # example: # keypair = Bitcoin.generate_key; Bitcoin::OpenSSL_EC.regenerate_key(keypair.first) == keypair def self.regenerate_key(private_key) private_key = [private_key].pack("H*") if private_key.bytesize >= (32*2) private_key_hex = private_key.unpack("H*")[0] #private_key = FFI::MemoryPointer.new(:uint8, private_key.bytesize) # .put_bytes(0, private_key, 0, private_key.bytesize) private_key = FFI::MemoryPointer.from_string(private_key) init_ffi_ssl eckey = EC_KEY_new_by_curve_name(NID_secp256k1) #priv_key = BN_bin2bn(private_key, private_key.size, BN_new()) priv_key = BN_bin2bn(private_key, private_key.size-1, BN_new()) group, order, ctx = EC_KEY_get0_group(eckey), BN_new(), BN_CTX_new() EC_GROUP_get_order(group, order, ctx) pub_key = EC_POINT_new(group) EC_POINT_mul(group, pub_key, priv_key, nil, nil, ctx) EC_KEY_set_private_key(eckey, priv_key) EC_KEY_set_public_key(eckey, pub_key) BN_free(order) BN_CTX_free(ctx) EC_POINT_free(pub_key) BN_free(priv_key) length = i2d_ECPrivateKey(eckey, nil) buf = FFI::MemoryPointer.new(:uint8, length) ptr = FFI::MemoryPointer.new(:pointer).put_pointer(0, buf) priv_hex = if i2d_ECPrivateKey(eckey, ptr) == length size = buf.get_array_of_uint8(8, 1)[0] buf.get_array_of_uint8(9, size).pack("C*").rjust(32, "\x00").unpack("H*")[0] #der_to_private_key( ptr.read_pointer.read_string(length).unpack("H*")[0] ) end if priv_hex != private_key_hex raise "regenerated wrong private_key, raise here before generating a faulty public_key too!" end length = i2o_ECPublicKey(eckey, nil) buf = FFI::MemoryPointer.new(:uint8, length) ptr = FFI::MemoryPointer.new(:pointer).put_pointer(0, buf) pub_hex = if i2o_ECPublicKey(eckey, ptr) == length buf.read_string(length).unpack("H*")[0] end EC_KEY_free(eckey) [ priv_hex, pub_hex ] end # extract private key from uncompressed DER format def self.der_to_private_key(der_hex) init_ffi_ssl #k = EC_KEY_new_by_curve_name(NID_secp256k1) #kp = FFI::MemoryPointer.new(:pointer).put_pointer(0, eckey) buf = FFI::MemoryPointer.from_string([der_hex].pack("H*")) ptr = FFI::MemoryPointer.new(:pointer).put_pointer(0, buf) #ec_key = d2i_ECPrivateKey(kp, ptr, buf.size-1) ec_key = d2i_ECPrivateKey(nil, ptr, buf.size-1) return nil if ec_key.null? bn = EC_KEY_get0_private_key(ec_key) BN_bn2bin(bn, buf) buf.read_string(32).unpack("H*")[0] end # Given the components of a signature and a selector value, recover and # return the public key that generated the signature according to the # algorithm in SEC1v2 section 4.1.6. # # rec_id is an index from 0 to 3 that indicates which of the 4 possible # keys is the correct one. Because the key recovery operation yields # multiple potential keys, the correct key must either be stored alongside # the signature, or you must be willing to try each rec_id in turn until # you find one that outputs the key you are expecting. # # If this method returns nil, it means recovery was not possible and rec_id # should be iterated. # # Given the above two points, a correct usage of this method is inside a # for loop from 0 to 3, and if the output is nil OR a key that is not the # one you expect, you try again with the next rec_id. # # message_hash = hash of the signed message. # signature = the R and S components of the signature, wrapped. # rec_id = which possible key to recover. # is_compressed = whether or not the original pubkey was compressed. def self.recover_public_key_from_signature(message_hash, signature, rec_id, is_compressed) return nil if rec_id < 0 or signature.bytesize != 65 init_ffi_ssl signature = FFI::MemoryPointer.from_string(signature) #signature_bn = BN_bin2bn(signature, 65, BN_new()) r = BN_bin2bn(signature[1], 32, BN_new()) s = BN_bin2bn(signature[33], 32, BN_new()) n, i = 0, rec_id / 2 eckey = EC_KEY_new_by_curve_name(NID_secp256k1) EC_KEY_set_conv_form(eckey, POINT_CONVERSION_COMPRESSED) if is_compressed group = EC_KEY_get0_group(eckey) order = BN_new() EC_GROUP_get_order(group, order, nil) x = BN_dup(order) BN_mul_word(x, i) BN_add(x, x, r) field = BN_new() EC_GROUP_get_curve_GFp(group, field, nil, nil, nil) if BN_cmp(x, field) >= 0 [r, s, order, x, field].each{|i| BN_free(i) } EC_KEY_free(eckey) return nil end big_r = EC_POINT_new(group) EC_POINT_set_compressed_coordinates_GFp(group, big_r, x, rec_id % 2, nil) big_q = EC_POINT_new(group) n = EC_GROUP_get_degree(group) e = BN_bin2bn(message_hash, message_hash.bytesize, BN_new()) BN_rshift(e, e, 8 - (n & 7)) if 8 * message_hash.bytesize > n ctx = BN_CTX_new() zero, rr, sor, eor = BN_new(), BN_new(), BN_new(), BN_new() BN_set_word(zero, 0) BN_mod_sub(e, zero, e, order, ctx) BN_mod_inverse(rr, r, order, ctx) BN_mod_mul(sor, s, rr, order, ctx) BN_mod_mul(eor, e, rr, order, ctx) EC_POINT_mul(group, big_q, eor, big_r, sor, ctx) EC_KEY_set_public_key(eckey, big_q) BN_CTX_free(ctx) [r, s, order, x, field, e, zero, rr, sor, eor].each{|i| BN_free(i) } [big_r, big_q].each{|i| EC_POINT_free(i) } length = i2o_ECPublicKey(eckey, nil) buf = FFI::MemoryPointer.new(:uint8, length) ptr = FFI::MemoryPointer.new(:pointer).put_pointer(0, buf) pub_hex = if i2o_ECPublicKey(eckey, ptr) == length buf.read_string(length).unpack("H*")[0] end EC_KEY_free(eckey) pub_hex end # Regenerate a DER-encoded signature such that the S-value complies with the BIP62 # specification. # def self.signature_to_low_s(signature) init_ffi_ssl buf = FFI::MemoryPointer.new(:uint8, 34) temp = signature.unpack("C*") length_r = temp[3] length_s = temp[5+length_r] sig = FFI::MemoryPointer.from_string(signature) # Calculate the lower s value s = BN_bin2bn(sig[6 + length_r], length_s, BN_new()) eckey = EC_KEY_new_by_curve_name(NID_secp256k1) group, order, halforder, ctx = EC_KEY_get0_group(eckey), BN_new(), BN_new(), BN_CTX_new() EC_GROUP_get_order(group, order, ctx) BN_rshift1(halforder, order) if BN_cmp(s, halforder) > 0 BN_sub(s, order, s) end BN_free(halforder) BN_free(order) BN_CTX_free(ctx) length_s = BN_bn2bin(s, buf) # p buf.read_string(length_s).unpack("H*") # Re-encode the signature in DER format sig = [0x30, 0, 0x02, length_r] sig.concat(temp.slice(4, length_r)) sig << 0x02 sig << length_s sig.concat(buf.read_string(length_s).unpack("C*")) sig[1] = sig.size - 2 BN_free(s) EC_KEY_free(eckey) sig.pack("C*") end def self.sign_compact(hash, private_key, public_key_hex = nil, pubkey_compressed = nil) msg32 = FFI::MemoryPointer.new(:uchar, 32).put_bytes(0, hash) private_key = [private_key].pack("H*") if private_key.bytesize >= 64 private_key_hex = private_key.unpack("H*")[0] public_key_hex = regenerate_key(private_key_hex).last unless public_key_hex pubkey_compressed = (public_key_hex[0..1] == "04" ? false : true) unless pubkey_compressed init_ffi_ssl eckey = EC_KEY_new_by_curve_name(NID_secp256k1) priv_key = BN_bin2bn(private_key, private_key.bytesize, BN_new()) group, order, ctx = EC_KEY_get0_group(eckey), BN_new(), BN_CTX_new() EC_GROUP_get_order(group, order, ctx) pub_key = EC_POINT_new(group) EC_POINT_mul(group, pub_key, priv_key, nil, nil, ctx) EC_KEY_set_private_key(eckey, priv_key) EC_KEY_set_public_key(eckey, pub_key) signature = ECDSA_do_sign(msg32, msg32.size, eckey) BN_free(order) BN_CTX_free(ctx) EC_POINT_free(pub_key) BN_free(priv_key) EC_KEY_free(eckey) buf, rec_id, head = FFI::MemoryPointer.new(:uint8, 32), nil, nil r, s = signature.get_array_of_pointer(0, 2).map{|i| BN_bn2bin(i, buf); buf.read_string(BN_num_bytes(i)).rjust(32, "\x00") } if signature.get_array_of_pointer(0, 2).all?{|i| BN_num_bits(i) <= 256 } 4.times{|i| head = [ 27 + i + (pubkey_compressed ? 4 : 0) ].pack("C") if public_key_hex == recover_public_key_from_signature(msg32.read_string(32), [head, r, s].join, i, pubkey_compressed) rec_id = i; break end } end ECDSA_SIG_free(signature) [ head, [r,s] ].join if rec_id end def self.recover_compact(hash, signature) return false if signature.bytesize != 65 msg32 = FFI::MemoryPointer.new(:uchar, 32).put_bytes(0, hash) version = signature.unpack('C')[0] return false if version < 27 or version > 34 compressed = (version >= 31) ? (version -= 4; true) : false pubkey = recover_public_key_from_signature(msg32.read_string(32), signature, version-27, compressed) end # lifted from https://github.com/GemHQ/money-tree def self.ec_add(point_0, point_1) init_ffi_ssl eckey = EC_KEY_new_by_curve_name(NID_secp256k1) group = EC_KEY_get0_group(eckey) point_0_hex = point_0.to_bn.to_s(16) point_0_pt = EC_POINT_hex2point(group, point_0_hex, nil, nil) point_1_hex = point_1.to_bn.to_s(16) point_1_pt = EC_POINT_hex2point(group, point_1_hex, nil, nil) sum_point = EC_POINT_new(group) success = EC_POINT_add(group, sum_point, point_0_pt, point_1_pt, nil) hex = EC_POINT_point2hex(group, sum_point, POINT_CONVERSION_UNCOMPRESSED, nil) EC_KEY_free(eckey) EC_POINT_free(sum_point) hex end # repack signature for OpenSSL 1.0.1k handling of DER signatures # https://github.com/bitcoin/bitcoin/pull/5634/files def self.repack_der_signature(signature) init_ffi_ssl return false if signature.empty? # New versions of OpenSSL will reject non-canonical DER signatures. de/re-serialize first. norm_der = FFI::MemoryPointer.new(:pointer) sig_ptr = FFI::MemoryPointer.new(:pointer).put_pointer(0, FFI::MemoryPointer.from_string(signature)) norm_sig = d2i_ECDSA_SIG(nil, sig_ptr, signature.bytesize) derlen = i2d_ECDSA_SIG(norm_sig, norm_der) ECDSA_SIG_free(norm_sig) return false if derlen <= 0 ret = norm_der.read_pointer.read_string(derlen) OPENSSL_free(norm_der.read_pointer) ret end def self.init_ffi_ssl return if @ssl_loaded SSL_library_init() ERR_load_crypto_strings() SSL_load_error_strings() RAND_poll() @ssl_loaded = true end end end