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Comments (6)

MikaelSlevinsky avatar MikaelSlevinsky commented on September 27, 2024 2

Did you try loading GenericFFT? Here's an alternative that works in ApproxFun

julia> using ApproxFun, GenericFFT

julia> f = (r,θ)-> sin(100*r*cos(θ))
#19 (generic function with 1 method)

julia> S = Chebyshev(big"0.1"..big"1.0")⊗Fourier(big"0.0"..big"2.0"*π)
Chebyshev(0.1000000000000000000000000000000000000000000000000000000000000000000000000000002 .. 1.0) ⊗ Fourier(【0.0,6.283185307179586476925286766559005768394338798750211641949889184615632812572396❫)

julia> F = ProductFun(LowRankFun(f, S; gridx = 256, gridy = 256))
ProductFun on Chebyshev(0.1000000000000000000000000000000000000000000000000000000000000000000000000000002 .. 1.0) ⊗ Fourier(【0.0,6.283185307179586476925286766559005768394338798750211641949889184615632812572396❫)

julia> coefficients(F); # get the array of coefficients

julia> f(big"0.123", big"0.456")
-0.9988661226402205869689991698845071591411740075338145723676043325127213580466635

julia> F(big"0.123", big"0.456")
-0.998866122640220586968999169884507159141174007533814572367604332512721358046603

from classicalorthogonalpolynomials.jl.

dlfivefifty avatar dlfivefifty commented on September 27, 2024

GenericFFT.jl

try loading that it might just work

from classicalorthogonalpolynomials.jl.

TSGut avatar TSGut commented on September 27, 2024

I thought GenericFFT was a mirror of the Fourier functionality in FastTransforms?

from classicalorthogonalpolynomials.jl.

ioannisPApapadopoulos avatar ioannisPApapadopoulos commented on September 27, 2024

GenericFFT.jl gives the same error when using ClassicalOrthogonalPolynomials.jl but the ApproxFun code does work. Thanks @MikaelSlevinsky

from classicalorthogonalpolynomials.jl.

dlfivefifty avatar dlfivefifty commented on September 27, 2024

Odd as ApproxFunFourier.jl uses the exact same transform (FFTW.plan_r2r!(x, FFTW.HC2R))

So I'm confused how the ApproxFun code is working

from classicalorthogonalpolynomials.jl.

dlfivefifty avatar dlfivefifty commented on September 27, 2024

Ah I see we special cased the transform for BigFloat to call fft:

https://github.com/JuliaApproximation/ApproxFun.jl/blob/6a8fdd95e6147547d964d76900f65dcb47f803b0/src/Extras/fftGeneric.jl#L47

from classicalorthogonalpolynomials.jl.

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