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Returns the imaginary part.

Complex(7).imaginary      #=> 0
Complex(9, -4).imaginary  #=> -4

Returns the absolute part of its polar form.

Complex(-1).abs         #=> 1
Complex(3.0, -4.0).abs  #=> 5.0

Returns the complex conjugate.

Complex(1, 2).conjugate  #=> (1-2i)

Returns the numerator.

    1   2       3+4i  <-  numerator
    - + -i  ->  ----
    2   3        6    <-  denominator

c = Complex('1/2+2/3i')  #=> ((1/2)+(2/3)*i)
n = c.numerator          #=> (3+4i)
d = c.denominator        #=> 6
n / d                    #=> ((1/2)+(2/3)*i)
Complex(Rational(n.real, d), Rational(n.imag, d))
                         #=> ((1/2)+(2/3)*i)

See denominator.

Returns the denominator (lcm of both denominator - real and imag).

See numerator.

Returns the value as a rational if possible (the imaginary part should be exactly zero).

Complex(1.0/3, 0).rationalize  #=> (1/3)
Complex(1, 0.0).rationalize    # RangeError
Complex(1, 2).rationalize      # RangeError

See to_r.

Returns zero as a rational. The optional argument eps is always ignored.

Returns zero.

Returns zero.

Returns self.

x.remainder(y) means x-y*(x/y).truncate

See Numeric#divmod.

Returns the absolute value of num.

12.abs         #=> 12
(-34.56).abs   #=> 34.56
-34.56.abs     #=> 34.56

Numeric#magnitude is an alias of Numeric#abs.

Returns num truncated to an Integer.

Numeric implements this by converting its value to a Float and invoking Float#truncate.

Returns true if num is less than 0.

Returns the numerator.

Returns the denominator (always positive).

Returns a one-character string at the beginning of the string.

a = "abcde"
a.chr    #=> "a"

Returns an array of characters in str. This is a shorthand for str.each_char.to_a.

If a block is given, which is a deprecated form, works the same as each_char.

Append—Concatenates the given object to str. If the object is an Integer, it is considered as a codepoint, and is converted to a character before concatenation. Concat can take multiple arguments. All the arguments are concatenated in order.

a = "hello "
a << "world"   #=> "hello world"
a.concat(33)   #=> "hello world!"
a              #=> "hello world!"

b = "sn"
b.concat(b, b)    #=> "snsnsn"

Returns a new String with the last character removed. If the string ends with \r\n, both characters are removed. Applying chop to an empty string returns an empty string. String#chomp is often a safer alternative, as it leaves the string unchanged if it doesn’t end in a record separator.

"string\r\n".chop   #=> "string"
"string\n\r".chop   #=> "string\n"
"string\n".chop     #=> "string"
"string".chop       #=> "strin"
"x".chop.chop       #=> ""

Returns a new String with the given record separator removed from the end of str (if present). If $/ has not been changed from the default Ruby record separator, then chomp also removes carriage return characters (that is it will remove \n, \r, and \r\n). If $/ is an empty string, it will remove all trailing newlines from the string.

"hello".chomp                #=> "hello"
"hello\n".chomp              #=> "hello"
"hello\r\n".chomp            #=> "hello"
"hello\n\r".chomp            #=> "hello\n"
"hello\r".chomp              #=> "hello"
"hello \n there".chomp       #=> "hello \n there"
"hello".chomp("llo")         #=> "he"
"hello\r\n\r\n".chomp('')    #=> "hello"
"hello\r\n\r\r\n".chomp('')  #=> "hello\r\n\r"

Processes str as for String#chop, returning str, or nil if str is the empty string. See also String#chomp!.

Modifies str in place as described for String#chomp, returning str, or nil if no modifications were made.

Returns the absolute value of float.

(-34.56).abs   #=> 34.56
-34.56.abs     #=> 34.56

Truncates float to a given precision in decimal digits (default 0 digits).

Precision may be negative. Returns a floating point number when ndigits is more than zero.