I don't think that we have algorithms for discrete sin, cosine transforms. You would have to come up with any ideas of implementing fast transformation algorithms for symbolic computation, but I would defer them for now unless I have idea about how to do that by some efficient algebraic computation.
On Saturday, May 22, 2021 at 10:11:20 PM UTC+9 hongy...@gmail.com wrote: > On Saturday, May 22, 2021 at 8:39:26 PM UTC+8 sandona...@gmail.com wrote: > >> Hello, >> >> I'm not really sure if those functions are implemented into SymPy yet. >> You should check out the documentation: search for example "discrete >> transform" or "Fourier transform". >> >> In Mathematica, symbolic and numeric computations go hand in hand. The >> Python ecosystem is very different in that regard. As you surely know there >> are many libraries, each one targeting a specific topic and sometimes one >> library is unaware of the others. For example, SymPy is about symbolic >> computation, Numpy is about numeric array/matrices computations, Scipy >> offers a great number of tools useful for engineering and scientific >> computation, and so on... Is it possible that SymPy is not the right >> library to achieve your goals? If you are able to formulate your problem in >> a numerical way (instead of a symbolic approach), you could look at the >> following Scipy documentation page: >> https://docs.scipy.org/doc/scipy/reference/fft.html >> > > Thank you very much. It does include so many Fourier transformations, > especially, the ones I mentioned are list here: < > https://docs.scipy.org/doc/scipy/reference/fft.html#discrete-sin-and-cosine-transforms-dst-and-dct > >. > > HY > > >> Davide. >> >> >> Il giorno sab 22 mag 2021 alle ore 13:56 hongy...@gmail.com < >> hongy...@gmail.com> ha scritto: >> >>> Wolfram Mathematica has so many Fourier transform relevant functions, >>> say, FourierDST, FourierDCT, and so on. I'm currently learning the notes >>> written by Dr. Roman Schmied >>> <https://arxiv.org/search/quant-ph?searchtype=author&query=Schmied%2C+R> >>> <https://arxiv.org/e-print/1403.7050>, where all examples are encoded >>> in Mathematica, but I want to find the python based implementation. >>> >>> The biggest barrier to converting the Mathematica codes into its >>> counterpart in python, say, with sympy, is the corresponding realization of >>> various advanced complex functions in both. >>> >>> Any hints for this problem will be highly appreciated. >>> >>> Regards, >>> HY >>> >>> >>> -- >>> You received this message because you are subscribed to the Google >>> Groups "sympy" group. >>> To unsubscribe from this group and stop receiving emails from it, send >>> an email to sympy+un...@googlegroups.com. >>> To view this discussion on the web visit >>> https://groups.google.com/d/msgid/sympy/65b57e9c-44a0-458e-8ce7-36b0f23236d2n%40googlegroups.com >>> >>> <https://groups.google.com/d/msgid/sympy/65b57e9c-44a0-458e-8ce7-36b0f23236d2n%40googlegroups.com?utm_medium=email&utm_source=footer> >>> . >>> >> -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/e6e5043a-74a8-4d03-b825-eb1b5cf2cc20n%40googlegroups.com.
