Comments (4)
MikaelSlevinsky
commented on June 16, 2024
Yep, the bases are real, otherwise the data are doubled (and hermiticity is annoying to keep track of, and is subject to tolerances in numerics).
Probably the hack shouldn't use a dense matrix-matrix product since P is tridiagonal.
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dlfivefifty
commented on June 16, 2024
Ok the docs incorrectly say that it is the complex transform
Though I think sph2fourier and fourier2sph are exactly the same for both complex/real valued cases
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MikaelSlevinsky
commented on June 16, 2024
Yes I agree the docs should be fixed
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MikaelSlevinsky
commented on June 16, 2024
Though I think sph2fourier and fourier2sph are exactly the same for both complex/real valued cases
That's right, the row basis is independent of the column transforms.
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Related Issues (20)
- Remove DSP dependency HOT 4
- Should multiplication of `FTPlan` take `StridedArray`s as arguments instead of `Array`s? HOT 1
- Move Chebyshev functionality to Chebyshevtransforms.jl
- What algorithm does cheb2leg() use? HOT 2
- Potentially suboptimal performance in r2r transforms? HOT 1
- sph methods slow? HOT 4
- Chebyshev transforms do not work with the FFTW v1.6. HOT 2
- Add a slow path in ultra2ultra transforms?
- Reduction in accuracy in `cheb2leg ∘ leg2cheb` on v0.15 HOT 4
- Regression in `ultra2ultra` with identical orders HOT 1
- Write test for Normalization in `cheb2leg` and `leg2cheb` HOT 4
- `cheb2ultra` seems unreasonably slow HOT 2
- Julia rewrite of libFastTransforms HOT 2
- 1d transforms with multi-dimensional regions are slow HOT 3
- Use Toeplitz-dot-Hankel for very large dimensional transforms HOT 4
- Add multidimensional interface for lib transforms HOT 3
- Avoid reexporting dependencies?
- Move out forwardrecurrence and clenshaw
- Segmentation fault for spherical harmonic transform HOT 5
- cheb2leg gives negatives for odd polynomials HOT 3
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