7^(h fddlmZmZddlmZddlmZddlmZm Z ddl m Z ddl m Z dZdZd Zy ) )FunctionDefinedFunctionsympify)tanh)cossin)limit)xcttfD]|}Gdd|}|tjtddt tjtddk(sJt |ttz tddk(r|Jy)zCreate our new "sin" function.c$eZdZddZedZy)*test_function_series1..my_functionc2t|jdSNr)rargsselfargindexs m/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/sympy/functions/elementary/tests/test_interface.pyfdiffz0test_function_series1..my_function.fdiffs499Q<((c:t|}|dk(r tdSyrrclsargs revalz/test_function_series1..my_function.eval!cl!8"1:%rN__name__ __module__ __qualname__r classmethodrrr my_functionrs ) & &rr&r rN)rrr seriesr r )Fr&s rtest_function_series1r*sx (2 &! &1~$$Q2.#a&--1b2IIII[^A%q!,1112rcttfD]U}Gdd|}|tjtddt tjtddk(rUJy)zCreate our new "cos" function.c$eZdZddZedZy)+test_function_series2..my_function2c4t|jd Sr)r rrs rrz1test_function_series2..my_function2.fdiff+sDIIaL)))rc:t|}|dk(r tdSy)Nrrrrs rrz0test_function_series2..my_function2.eval.rrNrr r%rr my_function2r-)s * & &rr0rr'N)rrr r(r)r)r0s rtest_function_series2r1$sZ (K &1 &A%%aB/3q6==Ar3JJJJKrcttfD][}Gfdd|tt}t}|j tdd|j tddk(r[Jy)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 c*eZdZdfd ZedZy)%test_function_series3..mytanhc:d|jddzz S)Nrr)r)rrmytanhs rrz+test_function_series3..mytanh.fdiffGs 6$))A,/222rc:t|}|dk(r tdSyrrrs rrz*test_function_series3..mytanh.evalJrrNrr )r7srr7r4Es 3 & &rr7rN)rrrr r()r)efr7s @rtest_function_series3r<8sa (6 &Q & G 1Ixx1a AHHQ1$55556rN)sympy.core.functionrrsympy.core.sympifyr%sympy.functions.elementary.hyperbolicr(sympy.functions.elementary.trigonometricrr sympy.series.limitsr sympy.abcr r*r1r<r%rrrCs):&6?%2*K(6r