perm filename FDDERI.MCL[TIM,LSP]1 blob sn#660833 filedate 1982-05-27 generic text, type C, neo UTF8
COMMENT āŠ—   VALID 00002 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	(DECLARE (MAPEX T))
C00005 ENDMK
CāŠ—;
(DECLARE (MAPEX T))

(DEFUN DER1 (A) (LIST 'QUOTIENT (DERIV A) A))

(DEFUN (PLUS DERIV DERIV) (A)
       (CONS 'PLUS (MAPCAR 'DERIV A)))

(DEFUN (DIFFERENCE DERIV DERIV) (A)
       (CONS 'DIFFERENCE (MAPCAR 'DERIV 
				 A)))

(DEFUN (TIMES DERIV DERIV) (A)
       (LIST 'TIMES A 
	     (CONS 'PLUS (MAPCAR 'DER1 A))))

(DEFUN (QUOTIENT DERIV DERIV) (A)
       (LIST 'DIFFERENCE 
	     (LIST 'QUOTIENT 
		   (DERIV (CAR A)) 
		   (CADR A))
	     (LIST 'QUOTIENT 
		   (CAR A) 
		   (LIST 'TIMES
			 (CADR A)
			 (CADR A)
			 (DERIV (CADR A))))))

 (DEFUN DERIV (A)
	(COND 
	 ((ATOM A)
	  (COND ((EQ A 'X) 1) (T 0)))
	 (T (LET ((DERIV (GET (CAR A) 'DERIV)))
		 (COND (DERIV (SUBRCALL T DERIV (CDR A)))
		       (T 'ERROR))))))

(DEFUN RUN ()
 (DECLARE (FIXNUM I))
 (DO ((I 0 (1+ I)))
     ((= I 1000.))
     (DERIV '(PLUS (TIMES 3 X X) (TIMES A X X) (TIMES B X) 5))
     (DERIV '(PLUS (TIMES 3 X X) (TIMES A X X) (TIMES B X) 5))
     (DERIV '(PLUS (TIMES 3 X X) (TIMES A X X) (TIMES B X) 5))
     (DERIV '(PLUS (TIMES 3 X X) (TIMES A X X) (TIMES B X) 5))
     (DERIV '(PLUS (TIMES 3 X X) (TIMES A X X) (TIMES B X) 5))))

(include "timer.lsp")

(timer timit 
	(run))