B [ @sXdZddlmZmZddlmZddlmZddlm Z ddl m Z GdddeZ d S) zA Contains the base class for series Made using sequences in mind )print_functiondivision)Expr)S)cacheit) integer_typesc@seZdZdZeddZeddZeddZedd Zed d Z ed d Z e ddZ ddZ ddZddZddZdS) SeriesBasezBase Class for seriescCstd|dS)z+The interval on which the series is definedz (%s).intervalN)NotImplementedError)selfr 8lib/python3.7/site-packages/sympy/series/series_class.pyintervalszSeriesBase.intervalcCstd|dS)z8The starting point of the series. This point is includedz (%s).startN)r )r r r r startszSeriesBase.startcCstd|dS)z6The ending point of the series. This point is includedz (%s).stopN)r )r r r r stopszSeriesBase.stopcCstd|dS)zLength of the series expansionz (%s).lengthN)r )r r r r length szSeriesBase.lengthcCsdS)z-Returns a tuple of variables that are boundedr r )r r r r variables%szSeriesBase.variablescCstdd|jD|jS)z This method returns the symbols in the object, excluding those that take on a specific value (i.e. the dummy symbols). css|]}|jD] }|Vq qdS)N) free_symbols).0ijr r r 0sz*SeriesBase.free_symbols..)setargs differencer)r r r r r*szSeriesBase.free_symbolscCs0||jks||jkr&td||jf||S)zTerm at point pt of a serieszIndex %s out of bounds %s)rr IndexErrorr _eval_term)r ptr r r term3szSeriesBase.termcCstd|jdS)NzhThe _eval_term method should be added to%s to return series term so it is availablewhen 'term' calls it.)r func)r rr r r r:szSeriesBase._eval_termcCs.|jtjkr|j}d}n |j}d}|||S)z Returns the i'th point of a series If start point is negative infinity, point is returned from the end. Assumes the first point to be indexed zero. Examples ======== TODO )rrZNegativeInfinityr)r rinitialstepr r r _ith_point@s zSeriesBase._ith_pointccs6d}x,||jkr0||}||V|d7}qWdS)Nrr )rr#r)r rrr r r __iter__Ts    zSeriesBase.__iter__cstt|tr|}|St|trp|j|j}}|dkrBd}|dkrPj}fddt|||j phdDSdS)Nrcsg|]}|qSr )rr#)rr)r r r esz*SeriesBase.__getitem__..r ) isinstancerr#rslicerrrranger")r indexrrr )r r __getitem__[s     zSeriesBase.__getitem__N)__name__ __module__ __qualname____doc__propertyr rrrrrrrrr#r$r*r r r r rs      rN) r.Z __future__rrZsympy.core.exprrZsympy.core.singletonrZsympy.core.cacherZsympy.core.compatibilityrrr r r r s