ЦibSSKJr SSKJr SSKJr SSKJrJr SSK J r SSK J r Sr SrS rg ) )Functionsympify)tanh)cossin)limit)xc"SS[5nU"[5R[SS5[[5R[SS5:Xde[ U"[5[- [S5S:Xdeg)zCreate our new "sin" function.c.\rSrSrSSjr\S5rSrg)*test_function_series1..my_functionc2[URS5$Nr)rargsselfargindexs n/var/www/html/ai-image-ml/venv/lib/python3.13/site-packages/sympy/functions/elementary/tests/test_interface.pyfdiff0test_function_series1..my_function.fdiffstyy|$ $c<[U5nUS:Xa [S5$grrclsargs reval/test_function_series1..my_function.eval!#,Caxqz!rN__name__ __module__ __qualname____firstlineno__r classmethodr__static_attributes__r rr my_functionr s %  "  "rr*r r"N)rr seriesrr )r*s rtest_function_series1r- sb "h " q> Ar *c!fmmAq".E EE E Q!1a (A -- -rc"SS[5nU"[5R[SS5[[5R[SS5:Xdeg)zCreate our new "cos" function.c.\rSrSrSSjr\S5rSrg)+test_function_series2..my_function2!c4[URS5*$r)rrrs rr1test_function_series2..my_function2.fdiff#s ! %% %rc<[U5nUS:Xa [S5$g)Nrr"rrs rr0test_function_series2..my_function2.eval&rrr Nr!r#r rr my_function2r0!s &  "  "rr6rr+N)rr r,r)r6s rtest_function_series2r7sB "x " ? ! !!Q +s1v}}Q2/F FF Frc^"U4SjS[5m[[5nT"[5nUR[SS5UR[SS5:Xdeg)aC 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 c6>\rSrSrSU4Sjjr\S5rSrg)%test_function_series3..mytanh;c:>ST"URS5S-- $)Nr"r)r)rrmytanhs rr+test_function_series3..mytanh.fdiff=s vdiil+Q.. .rc<[U5nUS:Xa [S5$grrrs rr*test_function_series3..mytanh.eval@rrr Nr!r#)r>srr>r:;s /  "  "rr>rN)rrr r,)efr>s @rtest_function_series3rE0sK " " 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-r7rEr rrrLs))&6?%.&G$2r