Type:
Class
Constants:
I
:
f_complex_new_bang2(rb_cComplex, ZERO, ONE)
The imaginary unit.
A complex number can be represented as a paired real number with imaginary unit; a+bi. Where a is real part, b is imaginary part and i is imaginary unit. Real a equals complex a+0i mathematically.
In ruby, you can create complex object with Complex, ::rect, ::polar or #to_c method.
Complex(1) #=> (1+0i) Complex(2, 3) #=> (2+3i) Complex.polar(2, 3) #=> (-1.9799849932008908+0.2822400161197344i) 3.to_c #=> (3+0i)
You can also create complex object from floating-point numbers or strings.
Complex(0.3) #=> (0.3+0i)
Complex('0.3-0.5i') #=> (0.3-0.5i)
Complex('2/3+3/4i') #=> ((2/3)+(3/4)*i)
Complex('1@2') #=> (-0.4161468365471424+0.9092974268256817i)
0.3.to_c #=> (0.3+0i)
'0.3-0.5i'.to_c #=> (0.3-0.5i)
'2/3+3/4i'.to_c #=> ((2/3)+(3/4)*i)
'1@2'.to_c #=> (-0.4161468365471424+0.9092974268256817i)
A complex object is either an exact or an inexact number.
Complex(1, 1) / 2 #=> ((1/2)+(1/2)*i) Complex(1, 1) / 2.0 #=> (0.5+0.5i)