Discrete Fourier transform: Difference between revisions
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=={{header|Julia}}==
The cispi function was added in Julia 1.6. The cispi of x is e to the power of (pi times i times x). Other syntax, such as {T,N} in the function signature and real() and
<lang julia>function dft(A::AbstractArray{T,N}) where {T,N}
F = zeros(complex(float(T)), size(A)...)
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end
newseq = idft(fseq)
println("$seq =>\n$fseq =>\n$newseq =>\n", Int.(round.(newseq)))▼
seq2 = [2 7; 3 11; 5 13]
▲const fseq = dft(seq)
fseq = dft(seq2)
println("$seq2 =>\n$fseq =>\n$newseq =>\n", Int.(round.(newseq)))
▲println("$seq =>\n$fseq =>\n$newseq =>\n", Int.(round.(newseq)))
</lang>{{out}}
<pre>
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ComplexF64[2.0000000000000013 - 1.4210854715202005e-15im, 2.999999999999996 + 7.993605777301127e-16im, 5.000000000000002 + 2.1316282072803005e-15im, 6.999999999999998 - 8.881784197001252e-16im, 11.0 + 0.0im] =>
[2, 3, 5, 7, 11]
[2 7; 3 11; 5 13] =>
ComplexF64[41.0 + 0.0im -21.0 + 0.0im; -7.000000000000002 + 3.46410161513775im 3.0000000000000053 + 7.105427357601002e-15im; -6.9999999999999964 - 3.4641016151377606im 3.0000000000000053 + 7.105427357601002e-15im] =>
ComplexF64[2.000000000000002 + 5.921189464667501e-16im 6.999999999999997 - 4.144832625267251e-15im; 2.9999999999999996 - 8.881784197001252e-16im 11.000000000000002 + 1.0362081563168128e-15im; 4.999999999999999 + 0.0im 13.000000000000002 + 1.924386576016938e-15im] =>
[2 7; 3 11; 5 13]
</pre>
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