o *ήcœ)ã@sŽddlZddlmZedƒZesdZejdd…dkrdZddlmZddlm Z m Z m Z m Z m Z mZmZmZmZdd lmZdd lmZdd lmZdd lmZdd lmZddlmZddl m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&ddl'm(Z(m)Z*ddl+m,Z,ddl-m.Z.ddl/m0Z0ddl1m2Z2ddl3m4Z4ddl5m6Z6ddl7m8Z8e.dƒ\Z9Z:Z;ZZ?Z@ZAZBZCZDZEZFZGZHZIZJdd„ZKe8dd„ƒZLe8dd„ƒZMdS)éN)Ú import_moduleÚmatchpyTé)éé)Úrubi_integrate) ÚlogÚsqrtÚexpÚcosÚsinÚtanÚsecÚcscÚcot)Úatanh)Úasinh)Úacosh)Úatan)Úasin)Úacos)Ú EllipticEÚ EllipticFÚ EllipticPiÚ hypergeomÚ rubi_testÚAppellF1)ÚIÚpi)ÚS)Úsymbols)Ú exp_polar)Úhyper)ÚIntegral)Úsimplify)ÚXFAILz#A B C D a b c d e f g h i m n p x ucCsøttttdƒtttttttƒtttdƒtdƒtdƒtttttdƒttttdƒtdƒttdƒtdƒttttdƒtdƒtdƒtdƒttdƒttdƒtttdƒttdƒtttdƒtttdƒttttdƒtttdƒtttdƒtttdƒttttdƒttttdƒttttttdƒtdƒttdƒtt ttttƒttƒƒttƒtdƒttdƒtttttƒgttttttttttƒtttdƒtdƒ tdƒttttdƒtdƒtdƒttttdƒttttttdƒttttttdƒtdƒttt ttttƒttƒƒttƒtdƒttttttƒgttttdƒtttttttƒtttdƒtdƒtdƒtttttdƒtdƒttttdƒttdƒtdƒttttdƒtdƒtdƒtdƒttdƒttdƒttdƒttttttdƒtttdƒttdƒttdƒtttdƒtttdƒtttdƒttttdƒttttdƒttttttdƒtdƒttdƒtt ttttƒttƒƒttƒtdƒttdƒtttttƒgttttttttttƒtttdƒtdƒ tdƒttttdƒtdƒtdƒttttdƒttttttdƒttttttdƒtdƒttt ttttƒttƒƒttƒtdƒttttttƒgttdƒtttt ttttttttd ƒttdƒttttd ƒt ttttdƒtd ƒt tttttttttd ƒt ttdƒttdƒttdƒtd ƒt ttdƒttdƒttttttdƒttdƒttttd ƒt ttdƒttdƒttd ƒt tdƒtttttdƒt ttttdƒtdƒt ttttttttdƒt ttdƒttdƒttdƒtdƒt ttttdƒt ttttdƒtdƒt ttdƒttttd ƒt t td ƒtd ƒt gtdƒt gttttttttƒttdƒtttttttttd ƒt ttdƒttttd ƒt t td ƒtd ƒt gtdƒt gttttttttƒttdƒtttttttttd ƒt gtttttttttt t tttdƒtttt ttd ƒtdƒtttt tttt ttt ttt ttdƒtd ƒtdƒtttt ttt ttt tttt ttt ttt ttdƒtd ƒtdƒtttt tttt ttt ttt ttdƒtd ƒtdƒtttt ttdƒgtttttttttt t tttdƒttt tt tt tt tt ttt ttt ttt tt tdƒtd ƒtdƒtttt tttt ttt ttt ttdƒt tdƒtd ƒtdƒtttttdƒt tt tt tt tt tt tt tt t tƒt tdƒgttttttttttt t tttdƒtttttttttt tt ttttd ƒtttdƒtd ƒttdƒttdƒttt ttdƒttt ttt ttt tdƒttttt ttt ttt ttttdƒtttdƒtdƒttdƒtttt tttt ttt ttt ttttdƒtttdƒtdƒtttt ttttdƒtttdƒtdƒtgttttdƒ tttttt t tttdƒtt tt  ttttdƒ tttttd ƒtttttttdƒtttt td ƒtttdƒtt tt tdƒtttttdƒ tttttd ƒtttttttdƒtdƒttdƒttttt td ƒtttdƒtt tt tdƒtttttd ƒ tttttd ƒtttttttdƒtd ƒttdƒttdƒtgg }|D]C}t|d |d ƒ}t|ƒdkrht||d |dd d d sft||d |dd d d sfJ‚q6t||d |dd d d sxJ‚q6dS)a Tests for Rubi Algebraic 1.2 rules. Parsed from Maple syntax All tests: http://www.apmaths.uwo.ca/~arich/IntegrationProblems/MapleSyntaxFiles/MapleSyntaxFiles.html Note: Some tests are commented since they depend rules other than Algebraic1.2. rééréié éééérT©ÚexpandÚ_diffN)ÚaÚbÚxrÚeÚfr ÚcÚdÚarctanhÚnrÚgÚhrÚmrÚlenr©ÚtestÚiÚr©rBúU/tmp/pip-target-vg8gfxp4/lib/python/sympy/integrals/rubi/rubi_tests/tests/test_1_4.pyÚtest_1 s<þþþ þþþ þþþpþŒþpþüþþ÷ <€$ûrDcCs.tttttttttttttt dƒttt dƒtttttt t dƒtt t dƒt dƒtt ttt ttƒtttttt dƒtt dƒttttttt dƒtttttt t dƒtt t dƒt dƒtt ttt ttƒtttttt dƒtt dƒttttgtttttttttttt t ttt dƒtttt dƒt tttt dƒttttt t dƒttttt t dƒttttt tt t dƒtttttt t dƒttttt dƒtt dƒt dƒttt dƒtttt dƒtt dƒtt t dƒtt dƒttttt dƒtt dƒttt t dƒtttt tt t dƒtttt dƒtt dƒtt t dƒtt dƒttttt tt t dƒtt dƒtttt dƒtt t dƒttt dƒtttttt dƒtttttt t dƒtt gt dƒtgt tttttttƒtt dƒtt dƒt dƒtt dƒttt dƒtttttttttttgttttttttttttttttt dƒtttttttt dƒtttttttttt t dƒtt t t dƒtt tttttttt tttttttƒtt dƒt dƒtttttttttttttttttttttttt dƒtttttttttt t dƒtt t t dƒtt tttttttt tttttttƒtt dƒt dƒtttttttttttttttttttgtttttttttttttttt dƒtttt tttt dƒtttttt t dƒtt dƒt t dƒtttttttttt tttttttƒtttttt dƒttttttttttttttt dƒttttt dƒtt t dƒt dƒttgt dƒtgttttttttƒtttttt dƒttttt tttt dƒtttttt t dƒtt t dƒt dƒtt tttttttttttttttƒtttttt dƒttttttttttttttt dƒtttttt t dƒtt gt dƒtgt tttttttƒttt dƒttttttttttgtttttttttƒttttƒtt t tƒtt dƒt dƒtttt ƒttttƒtt t tt ƒtt tt tt ttttt ƒƒtt t tt ƒttttƒttt t ttt tt ƒttt ƒtt tttttttƒtt t tƒgtttttttttttttt dƒtttt dƒtttttttttt t dƒtt t t dƒtt tttttttt tttttttƒtt dƒtttttttttttttttttttgttttttttttttt t ttt dƒtttttttttttttt t ttƒgtt dƒt dƒtttttƒtt dƒttƒtt dƒt d ƒ t d ƒtt dƒt dƒttƒtt d ƒt d ƒt d ƒttt dƒt dƒtt dƒttƒtt d ƒt dƒt dƒttt dƒt dƒtt dƒttƒtt d ƒt dƒt d ƒttt dƒt dƒtt dƒttƒtt d ƒt d ƒt dƒtttƒtt dƒttƒtt d ƒgg}|D]C}t|d|dƒ}t|ƒdkrƒt||d|ddddst||d|d dddsJ‚qQt||d|dddds“J‚qQdS)Nrr-rrr'r&rr,éKé€r*éé é@Tr.)r3r<r4r5r9r1r2r6r7rrr:r;rÚAÚBÚpr@r rr#Úarcsinrr=r)r?ÚindexrArBrBrCÚtest_27s8þhþþþ8þþNþþþBþBþ*„þ’ø <€$ûrOc CsŽg}|D]@}t|d|dƒ}t|ƒdkr4t||d|ddddds3t||d|ddddds3J‚qt||d|dddddsDJ‚qdS)Nrr-r&rT)r/r0Ú _numericalr*)rr=rr>rBrBrCÚtest_numericalJs <€"ûrQ)NÚsysÚsympy.externalrrÚdisabledÚ version_infoÚsympy.integrals.rubi.rubimainrÚsympy.functionsrr r r r r rrrÚ%sympy.functions.elementary.hyperbolicrr8rÚarcsinhrÚarccoshÚ(sympy.functions.elementary.trigonometricrÚarctanrrMrÚarccosÚ%sympy.integrals.rubi.utility_functionrrrrrrÚsympy.core.numbersrrÚPiÚsympy.core.singletonrÚsympy.core.symbolr Ú&sympy.functions.elementary.exponentialr!Úsympy.functions.special.hyperr"Úsympy.integrals.integralsr#Úsympy.simplify.simplifyr$Úsympy.testing.pytestr%rJrKÚCÚDr1r2r6r7r4r5r:r;r@r<r9rLr3ÚurDrOrQrBrBrBrCÚs<  ,              ,