class Numeric # # call-seq: # num.real? -> true or false # # Returns +true+ if +num+ is a real number (i.e. not Complex). # def real? true end # # call-seq: # num.real -> self # # Returns self. # def real self end # # call-seq: # num.integer? -> true or false # # Returns +true+ if +num+ is an Integer. # # 1.0.integer? #=> false # 1.integer? #=> true # def integer? false end # # call-seq: # num.finite? -> true or false # # Returns +true+ if +num+ is a finite number, otherwise returns +false+. # def finite? true end # # call-seq: # num.infinite? -> -1, 1, or nil # # Returns +nil+, -1, or 1 depending on whether the value is # finite, -Infinity, or +Infinity. # def infinite? nil end # # call-seq: # num.imag -> 0 # num.imaginary -> 0 # # Returns zero. # def imaginary 0 end alias imag imaginary # # call-seq: # num.conj -> self # num.conjugate -> self # # Returns self. # def conjugate self end alias conj conjugate end class Integer # call-seq: # -int -> integer # # Returns +int+, negated. def -@ Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_uminus(self)' end # call-seq: # ~int -> integer # # One's complement: returns a number where each bit is flipped. # # Inverts the bits in an Integer. As integers are conceptually of # infinite length, the result acts as if it had an infinite number of # one bits to the left. In hex representations, this is displayed # as two periods to the left of the digits. # # sprintf("%X", ~0x1122334455) #=> "..FEEDDCCBBAA" def ~ Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_comp(self)' end # call-seq: # int.abs -> integer # int.magnitude -> integer # # Returns the absolute value of +int+. # # (-12345).abs #=> 12345 # -12345.abs #=> 12345 # 12345.abs #=> 12345 # def abs Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_abs(self)' end # call-seq: # int.bit_length -> integer # # Returns the number of bits of the value of +int+. # # "Number of bits" means the bit position of the highest bit # which is different from the sign bit # (where the least significant bit has bit position 1). # If there is no such bit (zero or minus one), zero is returned. # # I.e. this method returns ceil(log2(int < 0 ? -int : int+1)). # # (-2**1000-1).bit_length #=> 1001 # (-2**1000).bit_length #=> 1000 # (-2**1000+1).bit_length #=> 1000 # (-2**12-1).bit_length #=> 13 # (-2**12).bit_length #=> 12 # (-2**12+1).bit_length #=> 12 # -0x101.bit_length #=> 9 # -0x100.bit_length #=> 8 # -0xff.bit_length #=> 8 # -2.bit_length #=> 1 # -1.bit_length #=> 0 # 0.bit_length #=> 0 # 1.bit_length #=> 1 # 0xff.bit_length #=> 8 # 0x100.bit_length #=> 9 # (2**12-1).bit_length #=> 12 # (2**12).bit_length #=> 13 # (2**12+1).bit_length #=> 13 # (2**1000-1).bit_length #=> 1000 # (2**1000).bit_length #=> 1001 # (2**1000+1).bit_length #=> 1001 # # This method can be used to detect overflow in Array#pack as follows: # # if n.bit_length < 32 # [n].pack("l") # no overflow # else # raise "overflow" # end def bit_length Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_bit_length(self)' end # call-seq: # int.even? -> true or false # # Returns +true+ if +int+ is an even number. def even? Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_even_p(self)' end # call-seq: # int.integer? -> true # # Since +int+ is already an Integer, this always returns +true+. def integer? true end alias magnitude abs # call-seq: # int.odd? -> true or false # # Returns +true+ if +int+ is an odd number. def odd? Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_odd_p(self)' end # call-seq: # int.ord -> self # # Returns the +int+ itself. # # 97.ord #=> 97 # # This method is intended for compatibility to character literals # in Ruby 1.9. # # For example, ?a.ord returns 97 both in 1.8 and 1.9. def ord self end # # Document-method: Integer#size # call-seq: # int.size -> int # # Returns the number of bytes in the machine representation of +int+ # (machine dependent). # # 1.size #=> 8 # -1.size #=> 8 # 2147483647.size #=> 8 # (256**10 - 1).size #=> 10 # (256**20 - 1).size #=> 20 # (256**40 - 1).size #=> 40 # def size Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_size(self)' end # call-seq: # int.to_i -> integer # # Since +int+ is already an Integer, returns +self+. def to_i self end # call-seq: # int.to_int -> integer # # Since +int+ is already an Integer, returns +self+. def to_int self end # call-seq: # int.zero? -> true or false # # Returns +true+ if +int+ has a zero value. def zero? Primitive.attr! 'inline' Primitive.cexpr! 'rb_int_zero_p(self)' end # call-seq: # ceildiv(other) -> integer # # Returns the result of division +self+ by +other+. The result is rounded up to the nearest integer. # # 3.ceildiv(3) # => 1 # 4.ceildiv(3) # => 2 # # 4.ceildiv(-3) # => -1 # -4.ceildiv(3) # => -1 # -4.ceildiv(-3) # => 2 # # 3.ceildiv(1.2) # => 3 def ceildiv(other) -div(0 - other) end # # call-seq: # int.numerator -> self # # Returns self. # def numerator self end # # call-seq: # int.denominator -> 1 # # Returns 1. # def denominator 1 end end class Float # # call-seq: # float.to_f -> self # # Since +float+ is already a Float, returns +self+. # def to_f self end # # call-seq: # float.abs -> float # float.magnitude -> float # # Returns the absolute value of +float+. # # (-34.56).abs #=> 34.56 # -34.56.abs #=> 34.56 # 34.56.abs #=> 34.56 # def abs Primitive.attr! 'inline' Primitive.cexpr! 'rb_float_abs(self)' end def magnitude Primitive.attr! 'inline' Primitive.cexpr! 'rb_float_abs(self)' end # # call-seq: # -float -> float # # Returns +float+, negated. # def -@ Primitive.attr! 'inline' Primitive.cexpr! 'rb_float_uminus(self)' end # # call-seq: # float.zero? -> true or false # # Returns +true+ if +float+ is 0.0. # def zero? Primitive.attr! 'inline' Primitive.cexpr! 'RBOOL(FLOAT_ZERO_P(self))' end # # call-seq: # float.positive? -> true or false # # Returns +true+ if +float+ is greater than 0. # def positive? Primitive.attr! 'inline' Primitive.cexpr! 'RBOOL(RFLOAT_VALUE(self) > 0.0)' end # # call-seq: # float.negative? -> true or false # # Returns +true+ if +float+ is less than 0. # def negative? Primitive.attr! 'inline' Primitive.cexpr! 'RBOOL(RFLOAT_VALUE(self) < 0.0)' end end