sin, cos, exp with complex numbers on GPU with Julia

GPUArray-complex-transcendental.jl

using GPUArrays
using CuArrays
import Base.sin, Base.cos, Base.exp

function sin(A::GPUArray{ComplexF64})
      return sin.(real(A)) .* cosh.(imag(A))  .+ im .* cos.(real(A)) .* sinh.(imag(A))
end

function cos(A::GPUArray{ComplexF64})
      return cos.(real(A)) .* cosh.(imag(A)) .- im .* sin.(real(A)) .* sinh.(imag(A))
end

function exp(A::GPUArray{ComplexF64})
      return exp.(real(A)) .* (cos.(imag(A)) .+ im .* sin.(imag(A)))
end