interface CalculatorInterface

interface CalculatorInterface {
    
    /**
     * Returns the sum of all the provided parameters
     *
     * @param NumberInterface $augend The first addend (the integer being added to)
     * @param NumberInterface ...$addends The additional integers to a add to the augend
     *
     * @return NumberInterface The sum of all the parameters
     */
    public function add(NumberInterface $augend, NumberInterface ...$addends) : NumberInterface;
    
    /**
     * Returns the difference of all the provided parameters
     *
     * @param NumberInterface $minuend The integer being subtracted from
     * @param NumberInterface ...$subtrahends The integers to subtract from the minuend
     *
     * @return NumberInterface The difference after subtracting all parameters
     */
    public function subtract(NumberInterface $minuend, NumberInterface ...$subtrahends) : NumberInterface;
    
    /**
     * Returns the product of all the provided parameters
     *
     * @param NumberInterface $multiplicand The integer to be multiplied
     * @param NumberInterface ...$multipliers The factors by which to multiply the multiplicand
     *
     * @return NumberInterface The product of multiplying all the provided parameters
     */
    public function multiply(NumberInterface $multiplicand, NumberInterface ...$multipliers) : NumberInterface;
    
    /**
     * Returns the quotient of the provided parameters divided left-to-right
     *
     * @param int $roundingMode The RoundingMode constant to use for this operation
     * @param int $scale The scale to use for this operation
     * @param NumberInterface $dividend The integer to be divided
     * @param NumberInterface ...$divisors The integers to divide $dividend by, in
     *     the order in which the division operations should take place
     *     (left-to-right)
     *
     * @return NumberInterface The quotient of dividing the provided parameters left-to-right
     */
    public function divide(int $roundingMode, int $scale, NumberInterface $dividend, NumberInterface ...$divisors) : NumberInterface;
    
    /**
     * Converts a value from an arbitrary base to a base-10 integer value
     *
     * @param string $value The value to convert
     * @param int $base The base to convert from (i.e., 2, 16, 32, etc.)
     *
     * @return IntegerObject The base-10 integer value of the converted value
     */
    public function fromBase(string $value, int $base) : IntegerObject;
    
    /**
     * Converts a base-10 integer value to an arbitrary base
     *
     * @param IntegerObject $value The integer value to convert
     * @param int $base The base to convert to (i.e., 2, 16, 32, etc.)
     *
     * @return string The value represented in the specified base
     */
    public function toBase(IntegerObject $value, int $base) : string;
    
    /**
     * Converts an Integer instance to a Hexadecimal instance
     */
    public function toHexadecimal(IntegerObject $value) : Hexadecimal;
    
    /**
     * Converts a Hexadecimal instance to an Integer instance
     */
    public function toInteger(Hexadecimal $value) : IntegerObject;

}