!Цi'8SSKJrJr SSKrSSKJrJrJrJ r J r J r J r SSK JrJrJrJrJrJrJr SSKJrJr /SQrSSjrS rSS jrS rSS jrS rg))partialreduceN)_prep_axes_wavedecnwavedecwavedec2wavedecnwaverecwaverec2waverecn)iswtiswt2iswtnswtswt2 swt_max_levelswtn)_modes_per_axis_wavelets_per_axis)mramra2mranimraimra2imranc 0US:Xa<US:wa [S5eXSS.n[[4USS.UD6n[[40UD6nSn O>US:Xa*XUS.n[[4S U0UD6n[[ 40UD6nS n O[S U35eU"U5n /n [ U 5n U (a [R"U S 5n U /U -nO&U Vs/sHn[R"U5PM nn[U 5HnU UUU'U"U5nURUR:wa2U[URVs/sHn[U5PM sn5nU RU5 U (aW UU'M~[R"UU5UU'M U $s snfs snf) aForward 1D multiresolution analysis. It is a projection onto the wavelet subspaces. Parameters ---------- data: array_like Input data wavelet : Wavelet object or name string Wavelet to use level : int, optional Decomposition level (must be >= 0). If level is None (default) then it will be calculated using the `dwt_max_level` function. axis: int, optional Axis over which to compute the DWT. If not given, the last axis is used. Currently only available when ``transform='dwt'``. transform : {'dwt', 'swt'} Whether to use the DWT or SWT for the transforms. mode : str, optional Signal extension mode, see `Modes` (default: 'symmetric'). This option is only used when transform='dwt'. Returns ------- [cAn, {details_level_n}, ... {details_level_1}] : list For more information, see the detailed description in `wavedec` See Also -------- imra, swt Notes ----- This is sometimes referred to as an additive decomposition because the inverse transform (``imra``) is just the sum of the coefficient arrays [1]_. The decomposition using ``transform='dwt'`` corresponds to section 2.2 while that using an undecimated transform (``transform='swt'``) is described in section 3.2 and appendix A. This transform does not share the variance partition property of ``swt`` with `norm=True`. It does however, result in coefficients that are temporally aligned regardless of the symmetry of the wavelet used. The redundancy of this transform is ``(level + 1)``. References ---------- .. [1] Donald B. Percival and Harold O. Mofjeld. Analysis of Subtidal Coastal Sea Level Fluctuations Using Wavelets. Journal of the American Statistical Association Vol. 92, No. 439 (Sep., 1997), pp. 868-880. https://doi.org/10.2307/2965551 r periodization0transform swt only supports mode='periodization'T)waveletaxisnormlevel trim_approxdwt)rmoder r#Funrecognized transform: r) ValueErrorrrr rr lennp zeros_likerangeshapetuplesliceappend)datarr#r transformr&kwargsforwardinverseis_swt wav_coeffs mra_coeffsncztmpcjrecszs H/var/www/html/ai-image-ml/venv/lib/python3.13/site-packages/pywt/_mra.pyrrsnE ? "BD D$DA#GUGG$)&) e $DA'99&9',V,3I;?@@JJ ZB MM*Q- (ebj*44Ar}}Q4 2YAAcl 99 "e<2U2Y<=>C# CF]]3q6*CF %5=s  F/F c[SU5$)aInverse 1D multiresolution analysis via summation. Parameters ---------- mra_coeffs : list of ndarray Multiresolution analysis coefficients as returned by `mra`. Returns ------- rec : ndarray The reconstructed signal. See Also -------- mra References ---------- .. [1] Donald B. Percival and Harold O. Mofjeld. Analysis of Subtidal Coastal Sea Level Fluctuations Using Wavelets. Journal of the American Statistical Association Vol. 92, No. 439 (Sep., 1997), pp. 868-880. https://doi.org/10.2307/2965551 c X-$N)xys r@imra..squ)r)r8s r@rr{s0 $j 11rIc US:XaYUS:wa [S5eUc[SUR55nXSS.n[[4USS.UD6n[[ 40UD6nO= 0). If level is None (default) then it will be calculated using the `dwt_max_level` function. axes : 2-tuple of ints, optional Axes over which to compute the DWT. Repeated elements are not allowed. Currently only available when ``transform='dwt2'``. transform : {'dwt2', 'swt2'} Whether to use the DWT or SWT for the transforms. mode : str or 2-tuple of str, optional Signal extension mode, see `Modes` (default: 'symmetric'). This option is only used when transform='dwt2'. Returns ------- coeffs : list For more information, see the detailed description in `wavedec2` Notes ----- This is sometimes referred to as an additive decomposition because the inverse transform (``imra2``) is just the sum of the coefficient arrays [1]_. The decomposition using ``transform='dwt'`` corresponds to section 2.2 while that using an undecimated transform (``transform='swt'``) is described in section 3.2 and appendix A. This transform does not share the variance partition property of ``swt2`` with `norm=True`. It does however, result in coefficients that are temporally aligned regardless of the symmetry of the wavelet used. The redundancy of this transform is ``3 * level + 1``. See Also -------- imra2, swt2 References ---------- .. [1] Donald B. Percival and Harold O. Mofjeld. Analysis of Subtidal Coastal Sea Level Fluctuations Using Wavelets. Journal of the American Statistical Association Vol. 92, No. 439 (Sep., 1997), pp. 868-880. https://doi.org/10.2307/2965551 rrrc38# UHn[U5v M g7frCr.0ss r@ mra2..=*Q a((*Traxesr!r"dwt2rr&rUr#r'rr)r(minr-rrrrr r)r*r+r,r0r.r/)r1rr#rUr2r&r3r4r5r7r8r9r:r;r=r<r>r?dcoeffsns r@rrsBnF ? "BD D ==$**==E$DA$HeHH%*6* f $DA(:%:6:(-f-3I;?@@JJ ZB jm$A #C 1b\ jmr=r[s r@rrsH0 Q-C 1c*o &qA a=# #C' JrIc D[URU5up6n[X5nUS:XaYUS:wa [S5eUc[ SUR55nXSS.n [ [ 4USS.U D6n [ [40U D6n OGUS:Xa3[XS5n XUS .n [ [4S U0U D6n [ [40U D6n O[S U35eU "U5n /n[U 5n[R"U S 5nU/n[S U5HPnURU UR!5VVs0sHunnU[R"U5_M snn5 MR U S US 'U "U5nURUR:wa2U[#URVs/sHn[%U5PM sn5nURU5 UUS '[S U5Hn0n['U UR)55nUHznUUUnU UUUUU'U "U5nURUR:wa2U[#URVs/sHn[%U5PM sn5nUUU'UUUU'M| URU5 M U$s snnfs snfs snf)a^Forward nD multiresolution analysis. It is a projection onto the wavelet subspaces. Parameters ---------- data: array_like Input data wavelet : Wavelet object or name string, or tuple of wavelets Wavelet to use. This can also be a tuple containing a wavelet to apply along each axis in `axes`. level : int, optional Decomposition level (must be >= 0). If level is None (default) then it will be calculated using the `dwt_max_level` function. axes : tuple of ints, optional Axes over which to compute the DWT. Repeated elements are not allowed. transform : {'dwtn', 'swtn'} Whether to use the DWT or SWT for the transforms. mode : str or tuple of str, optional Signal extension mode, see `Modes` (default: 'symmetric'). This option is only used when transform='dwtn'. Returns ------- coeffs : list For more information, see the detailed description in `wavedecn`. See Also -------- imran, swtn Notes ----- This is sometimes referred to as an additive decomposition because the inverse transform (``imran``) is just the sum of the coefficient arrays [1]_. The decomposition using ``transform='dwt'`` corresponds to section 2.2 while that using an undecimated transform (``transform='swt'``) is described in section 3.2 and appendix A. This transform does not share the variance partition property of ``swtn`` with `norm=True`. It does however, result in coefficients that are temporally aligned regardless of the symmetry of the wavelet used. The redundancy of this transform is ``(2**n - 1) * level + 1`` where ``n`` corresponds to the number of axes transformed. References ---------- .. [1] Donald B. Percival and Harold O. Mofjeld. Analysis of Subtidal Coastal Sea Level Fluctuations Using Wavelets. Journal of the American Statistical Association Vol. 92, No. 439 (Sep., 1997), pp. 868-880. https://doi.org/10.2307/2965551 rrrc38# UHn[U5v M g7frCrLrMs r@rPmran..arRrSTrTr"dwtnrWr#r'rr)rr-rr(rYrrrrr r r)r*r+r,r0itemsr.r/listkeys)r1rr#rUr2r& axes_shapesndim_transformwaveletsr3r4r5modesr7r8r9r:r;r=kvr>r?rZdkeyss r@rr"sn)r=rhris r@rrsG0 Q-C 1c*o &M'')DA HC*' JrI)Nrr)N)rlrr)NNrr) functoolsrrnumpyr* _multilevelrrrr r r r _swtr rrrrrr_utilsrr__all__rrrrrrrDrIr@rtsl%EDD7 ;7< dN26>DjZ>:@qhrI