a kº”hÑ ã@slddlmZmZddlmZddlmZddlmZm Z ddl m Z ddl m Z dd„Zd d „Zd d „Zd S)é)ÚFunctionÚDefinedFunction©Úsympify)Útanh)ÚcosÚsin)Úlimit)ÚxcCsfttfD]X}Gdd„d|ƒ}|tƒ tdd¡ttƒ tdd¡ksDJ‚t|tƒttdƒdksJ‚qdS)zCreate our new "sin" function.c@s"eZdZddd„Zedd„ƒZdS)z*test_function_series1..my_functionécSst|jdƒS©Nr)rÚargs©ÚselfZargindex©rú]/var/www/auris/lib/python3.9/site-packages/sympy/functions/elementary/tests/test_interface.pyÚfdiffsz0test_function_series1..my_function.fdiffcSst|ƒ}|dkrtdƒSdSr r©ÚclsÚargrrrÚevalsz/test_function_series1..my_function.evalN)r ©Ú__name__Ú __module__Ú __qualname__rÚ classmethodrrrrrÚ my_functions rré r N)rrr Úseriesrr )ÚFrrrrÚtest_function_series1s  (r cCsJttfD]<}Gdd„d|ƒ}|tƒ tdd¡ttƒ tdd¡ksJ‚qdS)zCreate our new "cos" function.c@s"eZdZddd„Zedd„ƒZdS)z+test_function_series2..my_function2r cSst|jdƒ Sr )rr rrrrr+sz1test_function_series2..my_function2.fdiffcSst|ƒ}|dkrtdƒSdS)Nrr rrrrrr.sz0test_function_series2..my_function2.evalN)r rrrrrÚ my_function2)s r!rrN)rrr rr)rr!rrrÚtest_function_series2$s  r"csVttfD]H}G‡fdd„d|ƒ‰ttƒ}ˆtƒ}| tdd¡| tdd¡ksJ‚qdS)a_ Test our easy "tanh" function. This test tests two things: * that the Function interface works as expected and it's easy to use * that the general algorithm for the series expansion works even when the derivative is defined recursively in terms of the original function, since tanh(x).diff(x) == 1-tanh(x)**2 cs&eZdZd‡fdd„ Zedd„ƒZdS)z%test_function_series3..mytanhr csdˆ|jdƒdS)Nr ré)r r©ÚmytanhrrrGsz+test_function_series3..mytanh.fdiffcSst|ƒ}|dkrtdƒSdSr rrrrrrJsz*test_function_series3..mytanh.evalN)r rrr$rrr%Esr%réN)rrrr r)rÚeÚfrr$rÚtest_function_series38s  r)N)Zsympy.core.functionrrZsympy.core.sympifyrZ%sympy.functions.elementary.hyperbolicrZ(sympy.functions.elementary.trigonometricrrZsympy.series.limitsr Z sympy.abcr r r"r)rrrrÚs