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cis

cis(z)

Return $\exp(iz)$.

Examples

cis(z)

The cis(z) function returns the complex exponential of iz, which is equivalent to exp(iz).

julia> cis(π/2)
6.123233995736766e-17 + 1.0im

Here are some common examples of using cis(z):

1. Calculate the complex exponential:

   julia> z = 2 + 3im;
   julia> cis(z)
   -0.131202 + 0.991057im

   The cis(z) function returns the complex exponential of z.

2. Generate points on the unit circle:

   julia> angles = range(0, stop=2π, length=8);
   julia> points = cis.(angles)
   8-element Vector{ComplexF64}:
   1.0 + 0.0im
   0.7071067811865476 + 0.7071067811865475im
   6.123233995736766e-17 + 1.0im
   -0.7071067811865475 + 0.7071067811865476im
   -1.0 + 1.2246467991473532e-16im
   -0.7071067811865477 - 0.7071067811865474im
   -1.8369701987210297e-16 - 1.0im
   0.7071067811865474 - 0.7071067811865477im

   This example generates complex points on the unit circle using cis(z).

Remember, the cis(z) function is equivalent to exp(iz), where z is a complex number.

See Also

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