(phSrSSKrSSKrSSKJr SSKJrJ r J r J r J r J r Jr S SS.Sjjr\R "\S 5rS \l\R "\S5rS \lS SS.S jjr\R "\S 5rS \l\R "\S5rS\lS SS.Sjjr\R "\S 5rS\l\R "\S5rS\lS!SS.SjjrS!SS.SjjrS"SS.Sjjr\R "\S 5rS\l\R "\S5rS\lS"SS.Sjjr\R "\S 5r S\ l\R "\S5r!S\!lS"SS.Sjjr"\R "\"S 5r#S\#l\R "\"S5r$S\$lS#Sjr%\R "\%S 5r&S\&l\R "\%S5r'S\'lg)$z( Discrete Fourier Transforms - basic.py N) pypocketfft) _asfarray_init_nd_shape_and_axes _datacopied _fix_shape _fix_shape_1d_normalization_workersF)plancUb [S5e[U5nU=(d [X5n[X@5n[ U5nUb[ XU5upU=(d U nO1UR US:aSUR US3n [U 5eU(aURRS:XaUOSn [R"X4XX5$)z?Return discrete Fourier transform of real or complex sequence. NFPassing a precomputed plan is not yet supported by scipy.fft functionsrinvalid number of data points ( ) specifiedc) NotImplementedErrorrrr r r shape ValueErrordtypekindpfftc2c) forwardxnaxisnorm overwrite_xworkersr tmpcopiedmessageouts M/var/www/html/venv/lib/python3.13/site-packages/scipy/fft/_pocketfft/basic.pyrr s !#EF F A,C4S!4K $ (DwG}#CD1 !+V 41 3CIIdO3DKP!!#))..C"73TC 88C' >>TfftifftcbUb [S5e[U5n[X@5n[U5n[R "U5(d [ S5eUb[XU5upO/URUS:a[SURUS35e[R"X4XSU5$)z0 Discrete Fourier transform of a real sequence. Nrx must be a real sequencerrr) rrr r np isrealobj TypeErrorr rrrr2c rrrrrrrr r _s r$r-r-(s  !#EF F A,C $ (DwG <<  344}st,Q 41 :399T?:K;WXX 88C'w ??r%rfftihfftc ZUb [S5e[U5n[X@5n[U5n[R "U5(aUS-nUc+UR US- S-nUS:a[SUS35eO[XS-S-U5up[R"X4X USU5$)z? Return inverse discrete Fourier transform of real sequence x. NrrzInvalid number of data points (r) rrr r r*r+rrr rc2rr.s r$r5r5Fs  !#EF F A,C $ (DwG ||CCi y YYt_q A % q5>qcMN N sTQJ5 88C!dD' BBr%hfftirfftc8Ub [S5e[XX#XE5$)z8 2-D discrete Fourier transform of a Hermitian sequence r)rhfftnrsaxesrrrr s r$hfft2r=hs.  !#EF F t; 88r%c8Ub [S5e[XX#XE5$)z@ 2-D discrete inverse Fourier transform of a Hermitian sequence r)rihfftnr:s r$ihfft2r@ss.  !#EF F !K 99r%crUb [S5e[U5n[XU5upU=(d [X5n[ U5n[ U5S:XaU$[ XU5upU=(d U n[X@5nU(aURRS:XaUOSn [R"XXX5$)z5 Return multidimensional discrete Fourier transform. Nrrr) rrrrr lenrr rrrr) rrr;r<rrrr r rr!r#s r$c2cnrC~s  !#EF F A,C)#$7KE4S!4KwG 4yA~S.KC'K $ (D#))..C"73TC 88Cwc ;;r%fftnifftncJUb [S5e[U5n[R"U5(d [ S5e[ XU5up[ XU5up[X@5n[U5n[U5S:Xa [S5e[R"XXSU5$)z@Return multidimensional discrete Fourier transform of real inputNrr)r#at least 1 axis must be transformed) rrr*r+r,rrr r rBrrr-) rrr;r<rrrr r rr/s r$r2cnrHs !#EF F A,C <<  344)#$7KE D )FC $ (DwG 4yA~>?? 88CwdG <?? KEWWT"X&*a/b $ (DwGRyHra1$E"I :c$/ 0FC 88Cx$g FFr%r9irfftnc [U5nU=(d [Xa5n[X@5n[S5nURR S:Xa [ S5eUb[XbU5uphU=(d UnO/URUS:a[SURUS35eU(aUOSn [R"Xc4XXIU5$)z=FFT of a real sequence, returning fftpack half complex formatNrr)rrr) rrr r rrr,r rrr r2r_fftpack) rrrrrrr rr!r#s r$rSrSs A,C4S!4K $ (DtnG yy~~344}#CD1 !+V 41 :399T?:K;WXX34C   C'Dw OOr% rfft_fftpack irfft_fftpack)NrKNFN)N)rKNFN)NNNFN)NrKNF)(__doc__numpyr* functoolsrrhelperrrrrr r r rpartialr&__name__r'r-r0r1r5r6r7r=r@rCrDrErHrIr?rPr9rQrSrTrUr%r$r_s<!=B?"?.T" e$ =B@"@0d# #u%=BC"C8d# #u%99::@E<#<4t$ $&?D=#=. $%   4 '@E G# GF $%   4 'P*  d3 & !!+u5 ( r%