Returns the remainder after dividing self
by other
.
Examples:
11.remainder(4) # => 3 11.remainder(-4) # => 3 -11.remainder(4) # => -3 -11.remainder(-4) # => -3 12.remainder(4) # => 0 12.remainder(-4) # => 0 -12.remainder(4) # => 0 -12.remainder(-4) # => 0 13.remainder(4.0) # => 1.0 13.remainder(Rational(4, 1)) # => (1/1)
Since int
is already an Integer
, this always returns true
.
Returns true
if int
has a zero value.
Returns self.
Returns a complex object which denotes the given rectangular form.
Complex.rectangular(1, 2) #=> (1+2i)
Returns a complex object which denotes the given polar form.
Complex.polar(3, 0) #=> (3.0+0.0i) Complex.polar(3, Math::PI/2) #=> (1.836909530733566e-16+3.0i) Complex.polar(3, Math::PI) #=> (-3.0+3.673819061467132e-16i) Complex.polar(3, -Math::PI/2) #=> (1.836909530733566e-16-3.0i)
Returns the imaginary part.
Complex(7).imaginary #=> 0 Complex(9, -4).imaginary #=> -4
Returns the angle part of its polar form.
Complex.polar(3, Math::PI/2).arg #=> 1.5707963267948966
Returns the angle part of its polar form.
Complex.polar(3, Math::PI/2).arg #=> 1.5707963267948966
Returns an array; [cmp.abs, cmp.arg].
Complex(1, 2).polar #=> [2.23606797749979, 1.1071487177940904]
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 zero.
Returns 0 if the value is positive, pi otherwise.
Returns 0 if the value is positive, pi otherwise.
Returns an array; [num, 0].
Returns an array; [num.abs, num.arg].
Returns self.
Returns self.
Returns a 2-element array containing two numeric elements, formed from the two operands self
and other
, of a common compatible type.
Of the Core and Standard Library classes, Integer
, Rational
, and Complex
use this implementation.
Examples:
i = 2 # => 2 i.coerce(3) # => [3, 2] i.coerce(3.0) # => [3.0, 2.0] i.coerce(Rational(1, 2)) # => [0.5, 2.0] i.coerce(Complex(3, 4)) # Raises RangeError. r = Rational(5, 2) # => (5/2) r.coerce(2) # => [(2/1), (5/2)] r.coerce(2.0) # => [2.0, 2.5] r.coerce(Rational(2, 3)) # => [(2/3), (5/2)] r.coerce(Complex(3, 4)) # => [(3+4i), ((5/2)+0i)] c = Complex(2, 3) # => (2+3i) c.coerce(2) # => [(2+0i), (2+3i)] c.coerce(2.0) # => [(2.0+0i), (2+3i)] c.coerce(Rational(1, 2)) # => [((1/2)+0i), (2+3i)] c.coerce(Complex(3, 4)) # => [(3+4i), (2+3i)]
Raises an exception if any type conversion fails.
Returns self
.
Raises an exception if the value for freeze
is neither true
nor nil
.
Related: Numeric#dup
.
Returns the remainder after dividing self
by other
.
Of the Core and Standard Library classes, only Float
and Rational
use this implementation.
Examples:
11.0.remainder(4) # => 3.0 11.0.remainder(-4) # => 3.0 -11.0.remainder(4) # => -3.0 -11.0.remainder(-4) # => -3.0 12.0.remainder(4) # => 0.0 12.0.remainder(-4) # => 0.0 -12.0.remainder(4) # => -0.0 -12.0.remainder(-4) # => -0.0 13.0.remainder(4.0) # => 1.0 13.0.remainder(Rational(4, 1)) # => 1.0 Rational(13, 1).remainder(4) # => (1/1) Rational(13, 1).remainder(-4) # => (1/1) Rational(-13, 1).remainder(4) # => (-1/1) Rational(-13, 1).remainder(-4) # => (-1/1)
Returns true
if zero
has a zero value, false
otherwise.
Of the Core and Standard Library classes, only Rational
and Complex
use this implementation.