Otj hddlmZmZddlmZddlmZddlmZm Z ddl m Z ddl m Z dZdZd Zd S) )FunctionDefinedFunctionsympify)tanh)cossin)limit)xc`ttfD]}Gdd|}|ttddt ttddksJt |ttz tddksJdS)zCreate our new "sin" function.c,eZdZddZedZdS)*test_function_series1..my_functionc6t|jdSNr)rargsselfargindexs m/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/sympy/functions/elementary/tests/test_interface.pyfdiffz0test_function_series1..my_function.fdiffs49Q<(((cNt|}|dkrtdSdSrrclsargs revalz/test_function_series1..my_function.eval)cll!88"1::%8rNr__name__ __module__ __qualname__r classmethodrrr my_functionrsC ) ) ) ) & &[ & & &rr&r rN)rrr seriesr r )Fr&s rtest_function_series1r*s (22 & & & & &! & & &{1~~$$Q2..#a&&--1b2I2IIIII[[^^A%q!,,1111122rcttfD]l}Gdd|}|ttddt ttddksJmdS)zCreate our new "cos" function.c,eZdZddZedZdS)+test_function_series2..my_function2rc8t|jd Sr)r rrs rrz1test_function_series2..my_function2.fdiff+sDIaL))))rcNt|}|dkrtdSdS)Nrrrrs rrz0test_function_series2..my_function2.eval.rrNrr r%rr my_function2r-)sC * * * * & &[ & & &rr0rr'N)rrr r(r)r)r0s rtest_function_series2r1$s (KK & & & & &1 & & &|A%%aB//3q66==Ar3J3JJJJJJKKrc ttfD]r}Gfdd|tt}t}|tdd|tddksJsdS)a_ Test our easy "tanh" function. This test tests two things: * that the Function interface works as expected and it's easy to use * that the general algorithm for the series expansion works even when the derivative is defined recursively in terms of the original function, since tanh(x).diff(x) == 1-tanh(x)**2 c2eZdZdfd ZedZdS)%test_function_series3..mytanhrc<d|jddzz S)Nrr)r)rrmytanhs rrz+test_function_series3..mytanh.fdiffGs#66$)A,//222rcNt|}|dkrtdSdSrrrs rrz*test_function_series3..mytanh.evalJrrNrr )r7srr7r4EsN 3 3 3 3 3 3 & &[ & & &rr7rN)rrrr r()r)efr7s @rtest_function_series3r<8s (66 & & & & & & &Q & & & GG F1IIxx1a  AHHQ1$5$55555566rN)sympy.core.functionrrsympy.core.sympifyr%sympy.functions.elementary.hyperbolicr(sympy.functions.elementary.trigonometricrr sympy.series.limitsr sympy.abcr r*r1r<r%rrrCs:9999999&&&&&&666666????????%%%%%%222*KKK(66666r