o h @slddlmZmZddlmZddlmZddlmZm Z ddl m Z ddl m Z ddZd d Zd d Zd S))FunctionDefinedFunctionsympify)tanh)cossin)limit)xcCsfttfD],}Gddd|}|ttddtttddks"Jt|tttddks0JqdS)zCreate our new "sin" function.c@"eZdZdddZeddZdS)z*test_function_series1..my_functioncSst|jdSNr)rargsselfargindexre/var/www/html/ai/venv/lib/python3.10/site-packages/sympy/functions/elementary/tests/test_interface.pyfdiffsz0test_function_series1..my_function.fdiffcSt|}|dkr tdSdSr rclsargrrrevalz/test_function_series1..my_function.evalNr __name__ __module__ __qualname__r classmethodrrrrr my_function r!r r N)rrr seriesrr )Fr!rrrtest_function_series1s ( r&cCsJttfD]}Gddd|}|ttddtttddks"JqdS)zCreate our new "cos" function.c@r )z+test_function_series2..my_function2r cSst|jd Sr )rrrrrrr+sz1test_function_series2..my_function2.fdiffcSst|}|dkr tdSdS)Nrr rrrrrr.rz0test_function_series2..my_function2.evalNrrrrrr my_function2)r"r'rr#N)rrr r$r)r%r'rrrtest_function_series2$s * r(csVttfD]$}Gfddd|tt}t}|tdd|tddks(JqdS)a_ Test our easy "tanh" function. This test tests two things: * that the Function interface works as expected and it's easy to use * that the general algorithm for the series expansion works even when the derivative is defined recursively in terms of the original function, since tanh(x).diff(x) == 1-tanh(x)**2 cs&eZdZdfdd ZeddZdS)z%test_function_series3..mytanhr csd|jddS)Nr r)rrmytanhrrrGsz+test_function_series3..mytanh.fdiffcSrr rrrrrrJrz*test_function_series3..mytanh.evalNrrrr*rrr+Esr+rN)rrrr r$)r%efrr*rtest_function_series38s  "r/N)sympy.core.functionrrsympy.core.sympifyr%sympy.functions.elementary.hyperbolicr(sympy.functions.elementary.trigonometricrrsympy.series.limitsr sympy.abcr r&r(r/rrrrs