Integer

ruby/spec describes 70 methods in core/integer, and Metorex implements 69 of them. The parameters are what Method#parameters answers under Metorex.

Integer#%: implemented, parameters [[:req]]. Returns self modulo other as a real numeric (Integer, Float, or Rational).
Integer#&: implemented, parameters [[:req]]. Bitwise AND; each bit in the result is 1 if both corresponding bits in self and other are 1, 0 otherwise:
Integer#*: implemented, parameters [[:req]]. Returns the numeric product of self and other:
Integer#**: implemented, parameters [[:req]]. Returns self raised to the power exponent:
Integer#+: implemented, parameters [[:req]]. Returns the sum of self and other:
Integer#-: implemented, parameters [[:req]]. Returns the difference of self and other:
Integer#-@: implemented, parameters []. Returns self, negated:
Integer#/: implemented, parameters [[:req]]. Returns the quotient of self and other.
Integer#<: implemented, parameters [[:req]]. Returns whether the value of self is less than the value of other; other must be numeric, but may not be Complex:
Integer#<<: implemented, parameters [[:req]]. Returns self with bits shifted count positions to the left, or to the right if count is negative:
Integer#<=: implemented, parameters [[:req]]. Returns whether the value of self is less than or equal to the value of other; other must be numeric, but may not be Complex:
Integer#<=>: implemented, parameters [[:req]]. Compares self and other.
Integer#==: implemented, parameters [[:req]]. Returns true if self is numerically equal to other; false otherwise.
Integer#===: implemented, parameters [[:req]]. Returns true if self is numerically equal to other; false otherwise.
Integer#>: implemented, parameters [[:req]]. Returns true if the value of self is greater than that of other:
Integer#>=: implemented, parameters [[:req]]. Returns true if the value of self is greater than or equal to that of other:
Integer#>>: implemented, parameters [[:req]]. Returns self with bits shifted count positions to the right, or to the left if count is negative:
Integer#[]: implemented, parameters [[:rest]]. Returns a slice of bits from self.
Integer#^: implemented, parameters [[:req]]. Bitwise EXCLUSIVE OR; each bit in the result is 1 if the corresponding bits in self and other are different, 0 otherwise:
Integer#abs: implemented, parameters []. Returns the absolute value of self. An example calling it.
Integer#allbits?: implemented, parameters [[:req]]. Returns true if all bits that are set (=1) in mask are also set in self; returns false otherwise. An example calling it.
Integer#anybits?: implemented, parameters [[:req]]. Returns true if any bit that is set (=1) in mask is also set in self; returns false otherwise. An example calling it.
Integer#bit_count: not implemented.
Integer#bit_length: implemented, parameters [[:rest, :args]]. Returns the number of bits of the value of self, which is the bit position of the highest-order bit that is different from the sign bit (where the least significant bit has bit position 1). An example calling it.
Integer#ceil: implemented, parameters [[:opt, :digits]]. Returns an integer that is a "ceiling" value for self, as specified by the given ndigits, which must be an integer-convertible object. An example calling it.
Integer#ceildiv: implemented, parameters [[:rest, :args]]. Returns the result of division self by numeric. An example calling it.
Integer#chr: implemented, parameters [[:rest]]. Returns a 1-character string containing the character represented by the value of self, according to the given encoding. An example calling it.
Integer#coerce: implemented, parameters [[:req, :other]]. Returns an array with both a numeric and a int represented as Integer objects or Float objects. An example calling it.
Integer#denominator: implemented, parameters []. Returns 1. An example calling it.
Integer#digits: implemented, parameters [[:rest]]. Returns an array of integers representing the base-radix digits of self; the first element of the array represents the least significant digit: An example calling it.
Integer#div: implemented, parameters [[:req, :other]]. Performs integer division; returns the integer result of dividing self by numeric: An example calling it.
Integer#divmod: implemented, parameters [[:req]]. Returns a 2-element array [q, r], where q = (self/other).floor # Quotient. An example calling it.
Integer#downto: implemented, parameters [[:req]]. Calls the given block with each integer value from self down to limit; returns self: An example calling it.
Integer#dup: implemented, parameters []. Returns self. An example calling it.
Integer#eql?: implemented, parameters [[:req, :other]]. Returns true if self and other are the same type and have equal values. An example calling it.
Integer#even?: implemented, parameters []. Returns true if self is an even number, false otherwise. An example calling it.
Integer#fdiv: implemented, parameters [[:req, :other]]. Returns the Float result of dividing self by numeric: An example calling it.
Integer#floor: implemented, parameters [[:opt, :digits]]. Returns an integer that is a "floor" value for self, as specified by the given ndigits, which must be an integer-convertible object. An example calling it.
Integer#gcd: implemented, parameters [[:req]]. Returns the greatest common divisor of the two integers. An example calling it.
Integer#gcdlcm: implemented, parameters [[:req]]. Returns an array with the greatest common divisor and the least common multiple of the two integers, [gcd, lcm].
Integer#inspect: implemented, parameters [[:rest]]. Returns a string containing the place-value representation of self in radix base (in 2..36). An example calling it.
Integer#integer?: implemented, parameters []. Since self is already an Integer, always returns true. An example calling it.
Integer#lcm: implemented, parameters [[:req]]. Returns the least common multiple of the two integers. An example calling it.
Integer#magnitude: implemented, parameters []. Returns the absolute value of self. An example calling it.
Integer#modulo: implemented, parameters [[:req, :other]]. Returns self modulo other as a real numeric (Integer, Float, or Rational). An example calling it.
Integer#next: implemented, parameters []. Returns the successor integer of self (equivalent to self + 1): An example calling it.
Integer#nobits?: implemented, parameters [[:req]]. Returns true if no bit that is set (=1) in mask is also set in self; returns false otherwise. An example calling it.
Integer#numerator: implemented, parameters []. Returns self. An example calling it.
Integer#odd?: implemented, parameters []. Returns true if self is an odd number, false otherwise. An example calling it.
Integer#ord: implemented, parameters [[:rest, :args]]. Returns self; intended for compatibility to character literals in Ruby 1.9. An example calling it.
Integer#pow: implemented, parameters [[:req, :exponent], [:rest, :rest]]. Returns (modular) exponentiation as: An example calling it.
Integer#pred: implemented, parameters []. Returns the predecessor of self (equivalent to self - 1):
Integer#rationalize: implemented, parameters [[:rest]]. Returns the value as a rational. An example calling it.
Integer#remainder: implemented, parameters [[:req, :other]]. Returns the remainder after dividing self by other. An example calling it.
Integer#round: implemented, parameters [[:opt, :digits]]. Returns self rounded to the nearest value with a precision of ndigits decimal digits. An example calling it.
Integer#size: implemented, parameters []. Returns the number of bytes in the machine representation of self; the value is system-dependent: An example calling it.
Integer.sqrt: implemented, parameters [[:req, :args]]. Returns the integer square root of the non-negative integer n, which is the largest non-negative integer less than or equal to the square root of numeric. An example calling it.
Integer#succ: implemented, parameters []. Returns the successor integer of self (equivalent to self + 1): An example calling it.
Integer#times: implemented, parameters []. Calls the given block self times with each integer in (0..self-1): An example calling it.
Integer#to_f: implemented, parameters []. Converts self to a Float: An example calling it.
Integer#to_i: implemented, parameters []. Returns self (which is already an Integer). An example calling it.
Integer#to_int: implemented, parameters []. Returns self (which is already an Integer). An example calling it.
Integer#to_r: implemented, parameters []. Returns the value as a rational. An example calling it.
Integer#to_s: implemented, parameters [[:rest]]. Returns a string containing the place-value representation of self in radix base (in 2..36). An example calling it.
Integer#truncate: implemented, parameters [[:opt, :digits]]. Returns self truncated (toward zero) to a precision of ndigits decimal digits. An example calling it.
Integer.try_convert: implemented, parameters [[:req, :args]]. If object is an Integer object, returns object.
Integer#upto: implemented, parameters [[:req]]. Calls the given block with each integer value from self up to limit; returns self: An example calling it.
Integer#zero?: implemented, parameters []. Returns true if self has a zero value, false otherwise. An example calling it.
Integer#|: implemented, parameters [[:req]]. Bitwise OR; each bit in the result is 1 if either corresponding bit in self or other is 1, 0 otherwise:
Integer#~: implemented, parameters [[:rest, :args]]. One's complement: returns the value of self with each bit inverted.

The method summaries are the first sentences of Ruby's own documentation for each method, read from MRI 4.0.6's ri data. Ruby's documentation is distributed under Ruby's license.