# encoding: binary module RbNaCl module GroupElements # Points provide the interface to NaCl's Curve25519 high-speed elliptic # curve cryptography, which can be used for implementing Diffie-Hellman # and other forms of public key cryptography (e.g. RbNaCl::Box) # # Objects of the Point class represent points on Edwards curves. NaCl # defines a base point (the "standard group element") which we can # multiply by an arbitrary integer. This is how NaCl computes public # keys from private keys. class Curve25519 # NaCl's Curve25519 base point (a.k.a. standard group element), serialized as hex STANDARD_GROUP_ELEMENT = ["0900000000000000000000000000000000000000000000000000000000000000"].pack("H*").freeze # Order of the standard group STANDARD_GROUP_ORDER = 2**252 + 27742317777372353535851937790883648493 include KeyComparator include Serializable extend Sodium sodium_type :scalarmult sodium_primitive :curve25519 sodium_function :scalarmult_curve25519, :crypto_scalarmult_curve25519, [:pointer, :pointer, :pointer] # Number of bytes in a scalar on this curve SCALARBYTES = 32 BYTES = 32 # Number of bytes in a scalar on this curve # Creates a new Point from the given serialization # # @param [String] point location of a group element (32-bytes) # # @return [RbNaCl::Point] the Point at this location def initialize(point) @point = point.to_str # FIXME: really should have a separate constant here for group element size # Group elements and scalars are both 32-bits, but that's for convenience Util.check_length(@point, SCALARBYTES, "group element") end # Multiply the given integer by this point # This ordering is a bit confusing because traditionally the point # would be the right-hand operand. # # @param [String] integer value to multiply with this Point (32-bytes) # # @return [RbNaCl::Point] result as a Point object def mult(integer, encoding = :raw) integer = integer.to_str Util.check_length(integer, SCALARBYTES, "integer") result = Util.zeros(SCALARBYTES) self.class.scalarmult_curve25519(result, integer, @point) self.class.new(result) end # Return the point serialized as bytes # # @return [String] 32-byte string representing this point def to_bytes; @point; end @base_point = new(STANDARD_GROUP_ELEMENT) # NaCl's standard base point for all Curve25519 public keys # # @return [RbNaCl::Point] standard base point (a.k.a. standard group element) def self.base; @base_point; end def self.base_point; @base_point; end end end end