o GZŽhÑ ã@slddlmZmZddlmZddlmZddlmZm Z ddl m Z ddl m Z dd„Zd d „Zd d „Zd S)é)ÚFunctionÚDefinedFunction©Úsympify)Útanh)ÚcosÚsin)Úlimit)ÚxcCsfttfD],}Gdd„d|ƒ}|tƒ tdd¡ttƒ tdd¡ks"J‚t|tƒttdƒdks0J‚qdS)zCreate our new "sin" function.c@ó"eZdZddd„Zedd„ƒZdS)z*test_function_series1..my_functionécSst|jdƒS©Nr)rÚargs©ÚselfZargindex©rú^/var/www/auris/lib/python3.10/site-packages/sympy/functions/elementary/tests/test_interface.pyÚfdiffsz0test_function_series1..my_function.fdiffcSót|ƒ}|dkr tdƒSdSr r©ÚclsÚargrrrÚevalóÿz/test_function_series1..my_function.evalN©r ©Ú__name__Ú __module__Ú __qualname__rÚ classmethodrrrrrÚ my_functionó r ré r N)rrr Úseriesrr )ÚFr rrrÚtest_function_series1s ( ñr%cCsJttfD]}Gdd„d|ƒ}|tƒ tdd¡ttƒ tdd¡ks"J‚qdS)zCreate our new "cos" function.c@r )z+test_function_series2..my_function2r cSst|jdƒ Sr )rrrrrrr+sz1test_function_series2..my_function2.fdiffcSst|ƒ}|dkr tdƒSdS)Nrr rrrrrr.rz0test_function_series2..my_function2.evalNrrrrrrÚ my_function2)r!r&rr"N)rrr r#r)r$r&rrrÚtest_function_series2$s * òr'csVttfD]$}G‡fdd„d|ƒ‰ttƒ}ˆtƒ}| tdd¡| tdd¡ks(J‚qdS)a_ Test our easy "tanh" function. This test tests two things: * that the Function interface works as expected and it's easy to use * that the general algorithm for the series expansion works even when the derivative is defined recursively in terms of the original function, since tanh(x).diff(x) == 1-tanh(x)**2 cs&eZdZd‡fdd„ Zedd„ƒZdS)z%test_function_series3..mytanhr csdˆ|jdƒdS)Nr ré)rr©ÚmytanhrrrGsz+test_function_series3..mytanh.fdiffcSrr rrrrrrJrz*test_function_series3..mytanh.evalNrrrr)rrr*Esr*réN)rrrr r#)r$ÚeÚfrr)rÚtest_function_series38s  "ñr.N)Zsympy.core.functionrrZsympy.core.sympifyrZ%sympy.functions.elementary.hyperbolicrZ(sympy.functions.elementary.trigonometricrrZsympy.series.limitsr Z sympy.abcr r%r'r.rrrrÚs