+ [jRt^RIt^RIt^RIHt^RIHtHtH t .ROt Rt Rt Rt RtRtR tRR ltRR ltRR ltRR ltRtRtR#)z" Other wavelet related functions. N)fft)ContinuousWaveletDiscreteContinuousWaveletWaveletzT`{old}` has been renamed to `{new}` and will be removed in a future version of pywt.cB\P!V4pW!,pV#)N)npcumsum)arrstepintegrals&& P/home/luca/screen-checking/.venv/lib/python3.14/site-packages/pywt/_functions.py _integrater syy~H H Oc|\PRRR7p\P!V\4\ V/VB#)intwaveintegrate_waveletoldnew)_DEPRECATION_MSGformatwarningswarnDeprecationWarningrargskwargsmsgs*, r rr"s7  ! !i5H ! IC MM#)* d -f --rc|\PRRR7p\P!V\4\ V/VB#)centrfrqcentral_frequencyr)rrrrrr rs*, r rr(s7  ! !j6I ! JC MM#)* d -f --rc|\PRRR7p\P!V\4\ V/VB#)scal2frqscale2frequencyr)rrrrrr#rs*, r r"r".s7  ! !j6G ! HC MM#)* D +F ++rc|\PRRR7p\P!V\4\ V/VB#)orthfiltorthogonal_filter_bankr)rrrrrr&rs*, r r%r%4s7  ! !j6N ! OC MM#)* !4 26 22rc\V4\\39dRp\P!V\ 4M'\ V\\34'g \V4p\V4\\39d^\P!V^,4\P!V^,4rCV^,V^,, p\W54V3#VPV4p\V4^8Xd)Vwr4V^,V^,, p\W54V3#\V4^8Xd*VwrspV^,V^,, p\W54V3#VwrrpV^,V^,, p\W4\W4V3#)a Integrate `psi` wavelet function from -Inf to x using the rectangle integration method. Parameters ---------- wavelet : Wavelet instance or str Wavelet to integrate. If a string, should be the name of a wavelet. precision : int, optional Precision that will be used for wavelet function approximation computed with the wavefun(level=precision) Wavelet's method (default: 8). Returns ------- [int_psi, x] : for orthogonal wavelets [int_psi_d, int_psi_r, x] : for other wavelets Examples -------- >>> from pywt import Wavelet, integrate_wavelet >>> wavelet1 = Wavelet('db2') >>> [int_psi, x] = integrate_wavelet(wavelet1, precision=5) >>> wavelet2 = Wavelet('bior1.3') >>> [int_psi_d, int_psi_r, x] = integrate_wavelet(wavelet2, precision=5) z^Integration of a general signal is deprecated and will be removed in a future version of pywt.)typetuplelistrrr isinstancerrrrasarrayr wavefunlen) wavelet precisionrpsixr functions_approximationsphiphi_dpsi_dphi_rpsi_rs && r rr:sOB G} %B c-. '+ >+G4 G} %GAJ'GAJ)?Qtad{#$a''&y9 #$))tad{#$a'' % &! +. !tad{#$a'')A%eAtad{%& 5(?BBrc\V\\34'g \V4pVP V4p\ V4^8XdVwr4MV^,VR,rC\ VR,V^,, 4pV^8gQh\P!\\V4R,44^,pV\ V4^, 8d\ V4V, ^,pRWV^, , , #)a Computes the central frequency of the `psi` wavelet function. Parameters ---------- wavelet : Wavelet instance, str or tuple Wavelet to integrate. If a string, should be the name of a wavelet. precision : int, optional Precision that will be used for wavelet function approximation computed with the wavefun(level=precision) Wavelet's method (default: 8). Returns ------- scalar :NNg?) r+rrrr-r.floatrargmaxabsr)r/r0r3r1r2domainindexs&& r r r ys& g):; < <+G4&y9 #$))Q*!,.Fr.JQ 1R51Q4< F A:: IIc#c(2,' (1 ,E s3x!|C5 1$ &AI& ''rc(\WR7V, #)aRConvert from CWT "scale" to normalized frequency. Parameters ---------- wavelet : Wavelet instance or str Wavelet to integrate. If a string, should be the name of a wavelet. scale : scalar The scale of the CWT. precision : int, optional Precision that will be used for wavelet function approximation computed with ``wavelet.wavefun(level=precision)``. Default is 8. Returns ------- freq : scalar Frequency normalized to the sampling frequency. In other words, for a sampling interval of `dt` seconds, the normalized frequency of 1.0 corresponds to (`1/dt` Hz). r0r )r/scaler0s&&&r r#r#s* W :U BBrc(\WR7V, #)aConvert from to normalized frequency to CWT "scale". Parameters ---------- wavelet : Wavelet instance or str Wavelet to integrate. If a string, should be the name of a wavelet. freq : scalar Frequency, normalized so that the sampling frequency corresponds to a value of 1.0. precision : int, optional Precision that will be used for wavelet function approximation computed with ``wavelet.wavefun(level=precision)``. Default is 8. Returns ------- scale : scalar rBrC)r/freqr0s&&&r frequency2scalerGs& W :T AArc`\P!V4RRR1,pVR,)VR&V#)a4 Returns the Quadrature Mirror Filter(QMF). The magnitude response of QMF is mirror image about `pi/2` of that of the input filter. Parameters ---------- filt : array_like Input filter for which QMF needs to be computed. Returns ------- qm_filter : ndarray Quadrature mirror of the input filter. N:r:Nr;)rarray)filt qm_filters& r qmfrMs0$tt$I &IdO rcT\V4^,^8Xg \R4h\P!V\PR7p\P !^4V,\P !V4, pVRRR1,p\V4pVRRR1,pW$W3pV#)a Returns the orthogonal filter bank. The orthogonal filter bank consists of the HPFs and LPFs at decomposition and reconstruction stage for the input scaling filter. Parameters ---------- scaling_filter : array_like Input scaling filter (father wavelet). Returns ------- orth_filt_bank : tuple of 4 ndarrays The orthogonal filter bank of the input scaling filter in the order : 1] Decomposition LPF 2] Decomposition HPF 3] Reconstruction LPF 4] Reconstruction HPF z'`scaling_filter` length has to be even.)dtypeNr;)r. ValueErrorrr,float64sqrtsumrM)scaling_filterrec_lodec_lorec_hidec_hiorth_filt_banks& r r&r&s,  ! #q (BCCZZbjjAN WWQZ. (266.+A AF DbD\F [F DbD\Ff5N r) rr r#rGrMr&rrr"r%))__doc__rnumpyr numpy.fftr_extensions._pywtrrr__all__rr rrr"r%rr r#rGrMr&rr rasf  TT : > . . , 3 <C~&(RC.B*."r