perm filename DDERIV.MCL[TIM,LSP] blob sn#668567 filedate 1982-07-13 generic text, type C, neo UTF8
COMMENT āŠ—   VALID 00002 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	(DECLARE (MAPEX T))
C00004 ENDMK
CāŠ—;
(DECLARE (MAPEX T))

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

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

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

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

(DEFUN (QUOTIENT 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 (FUNCALL 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))