you can play with your controller normally, not backwards. Check this out it tells you what to do!!!
http://www.gamefaqs.com/boards/931852-devil-may-cry-3-special-edition/58109758
OR READ THIS! This fixed the frustrating problem where the sticks were switched in Devil May Cry 3: Special Edition, namely movement on the right and camera on the left. Paste the following into the DMC3SE.ini file in the game directory. Remember proper spacing and placement.
#----------------------------------------------------------------------
[Controller (XBOX 360 For Windows)]
START = 7
SELECT = 6
CIRCLE = 1
TRIANGLE = 3
SQUARE = 2
CROSS = 0
L1 = 4
R1 = 5
L2 = 11
R2 = 12
L3 = 8
R3 = 9
L<->R = 1