julia> real(1 + 2im) # real part of z
1
julia> imag(1 + 2im) # imaginary part of z
2
julia> conj(1 + 2im) # complex conjugate of z
1 - 2im
julia> abs(1 + 2im) # absolute value of z
2.23606797749979
julia> abs2(1 + 2im) # squared absolute value
5
julia> angle(1 + 2im) # phase angle in radians
1.
julia> sqrt(-1)
ERROR: DomainError with -1.0:
sqrt will only return a complex result if called with a complex argument. Try sqrt(Complex(x)).
Stacktrace:
[...]
julia> sqrt(-1 + 0im)
0.0 + 1.0im
constructing a complex number at runtime:
julia> a = 1; b = 2; complex(a, b)
1 + 2im
Rationals are constructed using the // operator:
julia> 2//3
2//3
julia> -4//-12
1//3
julia> numerator(2//3)
2
julia> denominator(2//3)
3