^j rddlZddlZddlmZmZmZmZmZmZddl m Z ddl m Z dgZ e dd dZy) N)zerosasarrayeyepoly1dhstackr_)linalg)xp_capabilitiespadeT) out_of_scopec,tjjtf}d}t j |t |t|}|!t|dz |z }|dkr td|dkr td||z}|t|dz kDr td|d|dz}t|dz|dz|j }t|dz|f|j }td|dzD]}|d|ddd  ||d|f<t|dz|dzD]}|||z |ddd  ||ddf<t||f} tj | |} | d|dz} t"d | |dzdf} t%| ddd t%| ddd fS) a1 Return Pade approximation to a polynomial as the ratio of two polynomials. .. deprecated:: 1.18.0 This function is deprecated and will be removed in SciPy 1.20.0. Use `mpmath.pade` instead. Parameters ---------- an : (N,) array_like Taylor series coefficients. m : int The order of the returned approximating polynomial `q`. n : int, optional The order of the returned approximating polynomial `p`. By default, the order is ``len(an)-1-m``. Returns ------- p, q : Polynomial class The Pade approximation of the polynomial defined by `an` is ``p(x)/q(x)``. Examples -------- >>> import numpy as np >>> from scipy.interpolate import pade >>> e_exp = [1.0, 1.0, 1.0/2.0, 1.0/6.0, 1.0/24.0, 1.0/120.0] >>> p, q = pade(e_exp, 2) >>> e_exp.reverse() >>> e_poly = np.poly1d(e_exp) Compare ``e_poly(x)`` and the Pade approximation ``p(x)/q(x)`` >>> e_poly(1) 2.7166666666666668 >>> p(1)/q(1) 2.7179487179487181 zT`pade` is deprecated and will be removed in SciPy 1.20.0. Use `mpmath.pade` instead.)skip_file_prefixesNrz.Order of q must be smaller than len(an)-1.z&Order of p must be greater than 0.z0Order of q+p must be smaller than len(an).)dtypeg?)ospathdirname__file__warningswarnDeprecationWarningrlen ValueErrorrrrrangerr solverr) anmn _warn_skipsmsgNAkjBkjrowCpqpqs P/opt/ringagent/.cad-venv/lib/python3.12/site-packages/scipy/interpolate/_pade.pyr r sX77??8,.K $C MM#)kJ By GaK!O q5MN N1uABB AA3r719}KLL DQqSB ac1Q3bhh 'C 1a )CQ!}*Tc(DbD))CH *QqS!A#,#a%}dd++CE ,SzA a B 4AaCA 31Q34=A !DbD'?F1TrT7O ++)N)rrnumpyrrrrrrscipyr scipy._lib._array_apir __all__r r+r*r1s7 991 (d#D,$D,r+