sgbddlmZddlmZddlmZddlmZmZddl m Z ddl m Z dZ dZd Zy ) )Functionsympify)tanh)cossin)limit)xcGddt}|tjtddttjtddk(sJt |ttz tddk(sJy)zCreate our new "sin" function.c$eZdZddZedZy)*test_function_series1..my_functionc2t|jdSNr)rargsselfargindexs b/var/www/html/venv/lib/python3.12/site-packages/sympy/functions/elementary/tests/test_interface.pyfdiffz0test_function_series1..my_function.fdiffstyy|$ $c:t|}|dk(r tdSyrrclsargs revalz/test_function_series1..my_function.eval!#,Caxqz!rN__name__ __module__ __qualname__r classmethodrrr my_functionr s %  "  "rr%r rN)rr seriesrr )r%s rtest_function_series1r( sb "h " q> Ar *c!fmmAq".E EE E Q!1a (A -- -rcGddt}|tjtddttjtddk(sJy)zCreate our new "cos" function.c$eZdZddZedZy)+test_function_series2..my_function2c4t|jd Sr)rrrs rrz1test_function_series2..my_function2.fdiff#s ! %% %rc:t|}|dk(r tdSy)Nrrrrs rrz0test_function_series2..my_function2.eval&rrNrrr$rr my_function2r+!s &  "  "rr.rr&N)rr r'r)r.s rtest_function_series2r/sB "x " ? ! !!Q +s1v}}Q2/F FF FrcGfddttt}t}|jtdd|jtddk(sJy)a_ Test our easy "tanh" function. This test tests two things: * that the Function interface works as expected and it's easy to use * that the general algorithm for the series expansion works even when the derivative is defined recursively in terms of the original function, since tanh(x).diff(x) == 1-tanh(x)**2 c*eZdZdfd ZedZy)%test_function_series3..mytanhc:d|jddzz S)Nrr)r)rrmytanhs rrz+test_function_series3..mytanh.fdiff=s vdiil+Q.. .rc:t|}|dk(r tdSyrrrs rrz*test_function_series3..mytanh.eval@rrNrr)r5srr5r2;s /  "  "rr5rN)rrr r')efr5s @rtest_function_series3r:0sK " " QAq A 88Aq! Aq 1 11 1rN)sympy.core.functionrsympy.core.sympifyr%sympy.functions.elementary.hyperbolicr(sympy.functions.elementary.trigonometricrrsympy.series.limitsr sympy.abcr r(r/r:r$rrrAs))&6?%.&G$2r