gdddlmZddlmZddlmZddlmZmZddl m Z ddl m Z dZ dZd Zd S) )Functionsympify)tanh)cossin)limit)xcHGddt}|ttddtttddksJt |ttz tddksJdS)zCreate our new "sin" function.c,eZdZddZedZdS)*test_function_series1..my_functionc6t|jdSNr)rargsselfargindexs k/var/www/html/ai-engine/env/lib/python3.11/site-packages/sympy/functions/elementary/tests/test_interface.pyfdiffz0test_function_series1..my_function.fdiffsty|$$ $cNt|}|dkrtdSdSrrclsargs revalz/test_function_series1..my_function.eval)#,,Caxxqzz!xrNr__name__ __module__ __qualname__r classmethodrrr my_functionr sC % % % %  " "  " " "rr%r rN)rr seriesrr )r%s rtest_function_series1r( s " " " " "h " " " ;q>> Ar * *c!ffmmAq".E.E E E E E Q!1a ( (A - - - - - -rcGddt}|ttddtttddksJdS)zCreate our new "cos" function.c,eZdZddZedZdS)+test_function_series2..my_function2rc8t|jd Sr)rrrs rrz1test_function_series2..my_function2.fdiff#s ! %%% %rcNt|}|dkrtdSdS)Nrrrrs rrz0test_function_series2..my_function2.eval&rrNrrr$rr my_function2r+!sC & & & &  " "  " " "rr.rr&N)rr r'r)r.s rtest_function_series2r/su " " " " "x " " " <?? ! !!Q + +s1vv}}Q2/F/F F F F F F FrcGfddttt}t}|tdd|tddksJdS)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.fdiff=s#vvdil++Q.. .rcNt|}|dkrtdSdSrrrs rrz*test_function_series3..mytanh.eval@rrNrr)r5srr5r2;sN / / / / / /  " "  " " "rr5rN)rrr r')efr5s @rtest_function_series3r:0s " " " " " " " " " " QAq A 88Aq!  Aq 1 1 1 1 1 1 1 1rN)sympy.core.functionrsympy.core.sympifyr%sympy.functions.elementary.hyperbolicr(sympy.functions.elementary.trigonometricrrsympy.series.limitsr sympy.abcr r(r/r:r$rrrAs)(((((&&&&&&666666????????%%%%%%...&GGG$22222r