Expand description
Odd-size DFT codelet generation using Winograd minimum-multiply factorizations.
Generates optimized DFT codelets for sizes 3, 5, and 7 using the Winograd
algorithm which minimizes the number of real multiplications. The generated
functions follow the same in-place &mut [Complex<T>] convention as gen_notw.rs.
§DFT Convention
Forward DFT: W_N = e^{-2πi/N} (sign = -1 / sign < 0)
Inverse DFT: W_N = e^{+2πi/N} (sign = +1 / sign > 0, unnormalized)
The sign of sine terms flips between forward and inverse. Specifically,
for X[k] = Σ x[j] · e^{-2πi·j·k/N}:
- Forward: imaginary part uses −sin(…) terms
- Inverse: imaginary part uses +sin(…) terms
Functions§
- generate_
from_ macro - Generate an odd-size (3, 5, 7) DFT codelet from macro input
gen_odd_codelet!(N).