perm filename UMATCH.123[AID,LSP] blob sn#679545 filedate 1982-09-27 generic text, type C, neo UTF8
COMMENT ⊗   VALID 00005 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	 the matching function  
C00005 00003	 Macros for Unification
C00031 00004	 Choice Macros
C00036 00005	 The Unification Matcher
C00052 ENDMK
C⊗;
;;;;;;;;;; the matching function ;;;;;;;;;; 
;;;
;;; (arg 1) - p -     pattern
;;; (arg 2) - d -     data
;;; (arg 3) - alist - optional list of variables (* or ?) whose values
;;; 		      are to be retained during the match, much like the
;;;		      = variables below.
;;; elements of a pattern:
;;;	? 	- matches anything
;;;	* 	- matches one or more expressions
;;;	?<atom> - like "?", but sets ?<atom> to thing matched
;;;	*<atom>	- like "*", but sets *<atom> to list of things matched
;;;	=<atom>	- matched against value of <atom>
;;;	(restrict <one of above ?-variables> <pred1> <pred2> .....)
;;;		- the predi must eval to non-nil
;;;	$r, ⊗r  - same as RESTRICT
;;;	(restrict <one of above *-variables> <pred1> <pred2> .....)
;;;		- the predi must eval to non-nil when given the list
;;;		  that is being considered for that variable as its argument
;;;	(irestrict <one of above *-variables> <pred1> <pred2> .....)
;;;		- the predi must eval to non-nil when given each element of the list
;;;		  that is being considered for that variable as its argument 
;;;		  (done incrementally). So %MATCH will apply these predicates as
;;;		  it scans the input.
;;;	$ir,⊗ir - same as irestrict
;;;
;;; (%match p d <variables to retain>) attempts to match p against d
;;; (%continue-match p d <variables to retain>) attempts to get the next
;;;		  possible match between p and d (by different *-variable
;;;		  bindings.
;;; (catch-match <form>) will intercept any backtracks, used in RESTRICT
;;;  clauses.
;;*PAGE
;;; Macros for Unification
(DECLARE (SETSYNTAX 35. 2 35.))
(DECLARE (SPECIAL %/#CONTINUE %/#CONTINUE-STACK %/#RETAIN %/#CE %/#ALIST COMPILE-MACROS))
(declare (special %/#full-predicate))
(setq %/#full-predicate ())
(declare (fasload struct fas dsk (mac lsp)))

;;; %/#CONTINUE is T if this is a rematch. %/#RETAIN says
;;; whether or not to save information for a rematch
;;; %/#CONTINUE-STACK saves * information for the rematch
(SETQ %/#CONTINUE NIL %/#CONTINUE-STACK NIL %/#RETAIN NIL COMPILE-MACROS NIL)

(MACRODEF SPECIAL-FORM (X)
 (LET QQQ ← X DO
	  (COND ((%%SPECIAL-FORMP QQQ)
		 '-SPECIAL-FORM-)
		(T QQQ))) )

(MACRODEF %%CHAR1 (ATOM) 
       ;; returns the 1st character of an atom.
       (COND ((EQ (TYPEP ATOM) 'SYMBOL) (GETCHAR ATOM 1.))))

(MACRODEF REAL-ATOM (%/#X)(AND %/#X (ATOM %/#X))) 



(DECLARE (SPECIAL -SEEN-))

(DEFUN %%CHECK (L)
  ((LAMBDA(-SEEN-)
    (%%CHECK1 L)) ())) 

(DEFUN %%CHECK1 (L)
 (COND ((MEMQ L -SEEN-) L)
       ((ATOM L) L)
       ((HUNKP L) (PUSH L -SEEN-) L)
       ((EQ (CAR L) '-SPECIAL-FORM-)
	(CDR L))
       (T 
	(PUSH l -SEEN-)
	(CONS (%%CHECK1 (CAR L) )
	      (%%CHECK1 (CDR L))))))  

;(DEFUN %%CHECK (L)
; (COND ((ATOM L) L)
;       ((EQ (CAR L) '-SPECIAL-FORM-)
;	(CDR L))
;       (T (CONS (%%CHECK (CAR L))(%%CHECK (CDR L))))))

(MACRODEF ALL-TRUE (FUN %/#L)
 (APPLY 'AND 
	(MAPCAR 
	 (FUNCTION  
	  (LAMBDA (%Q%)
		   (COND ((OR (RESTRICTP %Q%)
			      (%%SPECIAL-FORMP %Q%)
			      (FUNCALL FUN %Q%)) 
			      T))))
		     %/#L)))

(MACRODEF RESTRICTP (%/#X) (AND (NOT (ATOM %/#X))
			     (MEMQ (CAR %/#X) '($R RESTRICT ⊗R $IR IRESTRICT ⊗IR))))


(MACRODEF EXCHANGE (X Y)
  ((LAMBDA (Q)
	   (SETQ X Y)
	   (SETQ Y Q))
   X))


;(DEFUN %REAL-FORM (X)
; (COND ((ATOM X) X)
;       ((EQ (CAR X) '-SPECIAL-FORM-)(CDR X))
;       (X)))

(DEFUN %%SPECIAL-FORMP (X)
       (COND (%/#FULL-PREDICATE ())
	     ((ATOM X)
	      (OR (EQ X '-SPECIAL-FORM-)
		  (MEMQ (%%CHAR1 X) '(? * =))))
	     (T (OR (EQ (CAR X) '-SPECIAL-FORM-)
		    (RESTRICTP X))))  )

(MACRODEF CLAUSE-?-RESTRICTIONS (P D CP CD ALIST)
	  (COND
	   ((EQ (CADAR P) '?)
	    ;;; normal case of ($r ? ...)
	    (COND ((%%SPECIAL-FORMP (CAR D))
		   (SETQ P (CONS (CONS '-SPECIAL-FORM- (CAR P)) (CDR P)))
		   (EXCHANGE P D)(EXCHANGE CP CD))
		  (T 
		   (SETQ P (CDR P) D (CDR D))))
	    (GO UMATCH)) 
	   ((EQ (%%CHAR1 (CADAR P)) '?)
	    ;;; case of ($r ?foo ...)
	    ((LAMBDA (%T%) 
	      (COND (%T% (SETQ P (CONS (SPECIAL-FORM (CDR %T%)) (CDR P)))
			 (GO UMATCH))
		     (T 
		      (COND (
		      (*CATCH '%/#DECISION-POINT
		       (COND ((%%SPECIAL-FORMP (CAR D))
			      (%%UMATCH D P CD CP
					(CONS 
					 (CONS (CADAR P)
					       (CONS '-SPECIAL-FORM- (CAR D)))
					 ALIST) NOBIND))
			     (T (%%UMATCH (CDR P)(CDR D) CP CD
					  (CONS (CONS (CADAR P)
						      (CAR D))
						ALIST) NOBIND)))  
		       )
		      (OR NOBIND (SET (CADAR P) (%%CHECK (CAR D))))
		      (*THROW '%/#DECISION-POINT T ))))))
	      (ASSQ (CADAR P) ALIST)))))


(MACRODEF CLAUSE-*-RESTRICTIONS (P D CP CD ALIST)
	  (COND ((EQ (CADAR P) '*)
		 (COND ((NULL (CDR P))
			(COND
			 ((APPLY 'AND
				 (MAPCAR (FUNCTION
					  (LAMBDA (Q)
						  (COND 
						   ((FUNCALL Q D)
						    T))))
					 (CDDAR P)))   
			  (COND ((%%SPECIAL-FORMP (CAR D))
				 (SETQ P (NCONS (CONS '-SPECIAL-FORM-
						      (CAR P))))
				 (EXCHANGE P D)(EXCHANGE CP CD))
				(T
				 (SETQ P (CAR CP) D (CAR CD) CP (CDR CP) CD (CDR CD))))
			  (GO UMATCH))
			 (T (*THROW '%/#DECISION-POINT NIL ))))
		       (T ((LAMBDA (L)
				   (COND (%/#CONTINUE
					  ;(OR %/#CONTINUE-STACK (*THROW '%/#DECISION-POINT NIL ))
					  ;;; initialize for continuation
					  (SETQ L (PROG2 NIL (CAR %/#CONTINUE-STACK)
							 (SETQ %/#CONTINUE-STACK 
							       (CDR %/#CONTINUE-STACK))))
					  (SETQ D (DO ((L L (CDR L))
						       (D D (CDR D)))
						      ((NULL L) D)))
					  (COND ((NULL D)
						 (SETQ P (CDR P))
						 (GO UMATCH))))
					 (T (SETQ L NIL)))
				   ;;; try all possibilities
				   (DO ((L L (NCONC L (NCONS (CAR D))))
					(OD D OD)
					(OP P OP)
					(D D (CDR D))
					(E (CONS NIL D) (CDR E)))
					((NULL E) (*THROW '%/#DECISION-POINT NIL ))
					 (COND ((APPLY 'AND
						 (MAPCAR 
					          (FUNCTION
						   (LAMBDA (Q)
						    (COND
						     ((FUNCALL Q L)
						       T))))
						   (CDDAR P))) 
					       (COND 
						((*CATCH '%/#DECISION-POINT
						  (COND
						   ((AND L
							 (%%SPECIAL-FORMP (CAR OD)))
						    (%%UMATCH
						     OD OP CD CP ALIST NOBIND))
						   (T 
						    (%%UMATCH (CDR P) D CP CD
							      ALIST NOBIND))) 
						  )
						 (AND %/#RETAIN 
						      (SETQ %/#CONTINUE-STACK
							    (CONS L %/#CONTINUE-STACK)))
						 (*THROW '%/#DECISION-POINT T )))))))
			   NIL)))) 
		((EQ (%%CHAR1 (CADAR  P)) '*)
		 ((LAMBDA (%T%) 
			   (COND (%T% (COND((APPLY 'AND
						   (MAPCAR
						    (FUNCTION
						     (LAMBDA (Q)
							     (COND 
							      ((FUNCALL Q (CDR %T%))
							      T))))
						  (CDDAR P)))
						   (SETQ P (APPEND 
							    (SPECIAL-FORM (CDR %T%)) (CDR P)))
						   (GO UMATCH)) 
					    (T (*THROW '%/#DECISION-POINT NIL ))))
				  ((NULL (CDR P))
				   (COND ((APPLY
					   'AND
					   (MAPCAR
					    (FUNCTION
					     (LAMBDA (Q)
						     (COND 
						      ((FUNCALL Q D)
						       T))))(CDDAR P)))
					  (COND (
						 (*CATCH '%/#DECISION-POINT
						  (COND ((%%SPECIAL-FORMP (CAR D))
							 (%%UMATCH D P
								   CD CP 
								   (CONS 
								    (CONS (CADAR P)
									  (CONS 
									   (CONS 
									    '-SPECIAL-FORM- 
									    (CAR D))
									   (CDR D)))
								    ALIST) NOBIND)) 
							(T 
							 (%%UMATCH (CAR CP) (CAR CD) (CDR CP)
								   (CDR CD)
								   (CONS 
								    (CONS (CADAR P)
									  D)
								    ALIST) NOBIND)))
						  )
						 (OR NOBIND (SET (CADAR P) (%%CHECK D)))
						 (*THROW '%/#DECISION-POINT T )) 
						(T (*THROW '%/#DECISION-POINT NIL ))))
					 (T (*THROW '%/#DECISION-POINT () ))))
				  (T ((LAMBDA(L)
				       (COND (%/#CONTINUE
					      (SETQ L (SYMEVAL (CAR P)))
					      (SETQ D (DO ((L L (CDR L))
							   (D D (CDR D)))
							  ((NULL L) D)))
					      (COND ((NULL D)
						     (SETQ P (CDR P))
						     (GO UMATCH))))
					     (T (SETQ L NIL)))
				       (DO ((L L (NCONC L (NCONS (CAR D))))
					    (OP P OP)
					    (OD D OD)
					    (D D (CDR D))
					    (E (CONS NIL D) (CDR E)))
					   ((NULL E) (*THROW '%/#DECISION-POINT NIL ))
					   (COND
					    ((APPLY
					      'AND
					      (MAPCAR
					       (FUNCTION
						(LAMBDA (Q)
							(COND((FUNCALL Q L)
							       T))))
					       (CDDAR P)))
					     (COND 
					      ((*CATCH '%/#DECISION-POINT
						(COND 
						 ((AND L
						       (%%SPECIAL-FORMP (CAR OD)))
						  (%%UMATCH OD OP CD CP
							    (CONS
							     (CONS (CADAR P) 
								   (CONS 
								    (CONS 
								     '-SPECIAL-FORM- 
								     (CAR OD))
								    (CDR L)))
							     ALIST) NOBIND))  
						 (T (%%UMATCH 
						     (CDR P) D CP CD
						     (CONS
						      (CONS (CADAR P) 
							    L)
						      ALIST) NOBIND))  )
						)
					       (OR NOBIND (SET (CADAR P) (%%CHECK L)))
					       (*THROW '%/#DECISION-POINT T )))))))   
				      NIL))))
				  (ASSQ (CADAR P) ALIST)))))  

(MACRODEF CLAUSE-*-IRESTRICTIONS (P D CP CD ALIST)
 (COND ((EQ (CADAR P) '*)
	(COND ((NULL (CDR P))
	       (COND
		((APPLY 'AND
			(MAPCAR (FUNCTION
				 (LAMBDA (Q)
					 (COND 
					  ((OR (RESTRICTP D)
					       (ALL-TRUE Q D))
					   T))))
				(CDDAR P)))   
		 (COND ((%%SPECIAL-FORMP (CAR D))
			(SETQ P (NCONS (CONS '-SPECIAL-FORM- (CAR P))))
			(EXCHANGE P D)(EXCHANGE CP CD))
		       (T
			(SETQ P (CAR CP) D (CAR CD) CP (CDR CP) CD (CDR CD))))
		 (GO UMATCH))  
		(T (*THROW '%/#DECISION-POINT NIL ))))
	      (T ((LAMBDA (L)
		   (COND (%/#CONTINUE
			  ;(OR %/#CONTINUE-STACK (*THROW '%/#DECISION-POINT NIL ))
			  ;;; initialize for continuation
			  (SETQ L (PROG2 NIL (CAR %/#CONTINUE-STACK)
					 (SETQ %/#CONTINUE-STACK 
					       (CDR %/#CONTINUE-STACK))))
			  (SETQ D (DO ((L L (CDR L))
				       (D D (CDR D)))
				      ((NULL L) D)))
			  (COND ((NULL D)
				 (SETQ P (CDR P))
				 (GO UMATCH))))
			 (T (SETQ L NIL)))
		   ;;; try all possibilities
		   (DO ((L L (NCONC L (NCONS (CAR D))))
			(F (CAR D)(CAR D))
			(D D (CDR D))
			(E (CONS NIL D) (CDR E)))
		       ((NULL E) (*THROW '%/#DECISION-POINT NIL ))
		       (COND ((APPLY 'AND
				     (MAPCAR 
				      (FUNCTION
				       (LAMBDA (Q)
					       (COND
						((OR (NULL L)
						     (RESTRICTP F)
						     (%%SPECIAL-FORMP F)
						     (FUNCALL Q F))
						 T))))
				      (CDDAR P))) 
			      (COND 
			       ((*CATCH '%/#DECISION-POINT
				 (COND ((AND L
					     (%%SPECIAL-FORMP (CAR D)))
					(%%UMATCH D (CDR P) CD CP ALIST NOBIND))
				       (T (%%UMATCH (CDR P) D CP CD
						    ALIST NOBIND)))
				 )
				(AND %/#RETAIN (SETQ %/#CONTINUE-STACK
						    (CONS L %/#CONTINUE-STACK)))
				(*THROW '%/#DECISION-POINT T )))))))
		   NIL))))
       ((EQ (%%CHAR1 (CADAR  P)) '*)
	((LAMBDA (%T%) 
	  (COND 
	   (%T% 
	    (COND
	     ((APPLY 
	       'AND
	       (MAPCAR
		(FUNCTION
		 (LAMBDA (Q)
			 (COND ((OR (RESTRICTP %T%)
						 (ALL-TRUE Q %T%))
						 T))))
			 (CDDAR P)))
		(COND ((*CATCH '%/#DECISION-POINT
			      (%%UMATCH
			       (CAR P)(CAR D) () () ALIST NOBIND)
			      )
		       (SETQ P (APPEND (SPECIAL-FORM (CDR %T%)) (CDR P)))
			     (GO UMATCH)) 
		       (T (*THROW '%/#DECISION-POINT () 
				 ))))  
		(T (*THROW '%/#DECISION-POINT NIL ))))
	      ((NULL (CDR P))
	       (COND ((APPLY
		       'AND
		       (MAPCAR
			(FUNCTION
			 (LAMBDA (Q)
				 (COND 
				  ((OR (RESTRICTP D)
				       (ALL-TRUE 
					Q
					D))
				   T))))(CDDAR P)))
		      (COND ((OR (NOT (%%SPECIAL-FORMP (CAR D)))
				 (*CATCH  '%/#DECISION-POINT
				  (%%UMATCH (CAR D)(CAR P) 
					    () () 
					    (CONS 
					     (CONS
					      (CADAR P)
					      (CONS (CONS '-SPECIAL-FORM- (CAR D))
						    (CDR D))) ALIST) NOBIND) 
				  ))
			     (COND ((*CATCH '%/#DECISION-POINT
					   (%%UMATCH (CAR CP) (CAR CD) (CDR CP)
						     (CDR CD)
						     (CONS 
						      (CONS
						       (CADAR P)
						       D) ALIST) NOBIND)  
					   )
				    (OR NOBIND (SET (CADAR P) (%%CHECK D)))
				    (*THROW '%/#DECISION-POINT T ))   
				   (T (*THROW '%/#DECISION-POINT () ))))
			    (T (*THROW '%/#DECISION-POINT NIL ))))
		      (T (*THROW '%/#DECISION-POINT () ))))
	      (T ((LAMBDA(L)
		   (COND (%/#CONTINUE
			  (SETQ L (SYMEVAL (CAR P)))
			  (SETQ D (DO ((L L (CDR L))
				       (D D (CDR D)))
				      ((NULL L) D)))
			  (COND ((NULL D)
				 (SETQ P (CDR P))
				 (GO UMATCH))))
			 (T (SETQ L NIL)))
		   (DO ((L L (NCONC L (NCONS (CAR D))))
			(F (CAR D)(CAR D))
			(OD D OD)
			(OP P OP)
			(D D (CDR D))
			(E (CONS NIL D) (CDR E)))
		       ((NULL E) (*THROW '%/#DECISION-POINT NIL ))
		       (COND
			((APPLY
			  'AND
			  (MAPCAR
			   (FUNCTION
			    (LAMBDA (Q)
				    (COND ((OR (NULL L)
					       (RESTRICTP F)
					       (%%SPECIAL-FORMP F)
					       (FUNCALL Q F))
					   T))))
			   (CDDAR P)))
			 (COND 
			  ((*CATCH '%/#DECISION-POINT
			    (COND ((AND L
					(%%SPECIAL-FORMP (CAR OD)))
				   (%%UMATCH OD OP CD CP
					     (CONS
					      (CONS (CADAR P)
						    (CONS (CONS 
							   '-SPECIAL-FORM- 
							   (CAR OD)) (CDR L)))
					      ALIST) NOBIND))  
				  (T 
				   (%%UMATCH (CDR P) D CP CD
					     (CONS
					      (CONS (CADAR P) L)
					      ALIST) NOBIND)))
			    )
			   (OR NOBIND (SET (CADAR P) (%%CHECK L)))
			   (*THROW '%/#DECISION-POINT T )))))))
		  NIL))))
	     (ASSQ (CADAR P) ALIST)) ))) 
			  
(MACRODEF CLAUSE-?-VARIABLE (P D CP CD ALIST)
 ((LAMBDA (%T%) 
   (COND (%T% (SETQ P (CONS (SPECIAL-FORM (CDR %T%)) (CDR P)))
		    (GO UMATCH))
	  (T 
	   (COND 
	    ((*CATCH '%/#DECISION-POINT
	      (COND ((%%SPECIAL-FORMP (CAR D))
		     (%%UMATCH D P CD CP 
			       (CONS (CONS (CAR P)(CAR D)) ALIST) NOBIND))  
		    (T 
		     (%%UMATCH (CDR P)(CDR D) CP CD
			       (CONS (CONS (CAR P)(CAR D))ALIST) NOBIND))) 
	      )
	     (OR NOBIND (SET (CAR P) (%%CHECK (CAR D))))
	     (*THROW '%/#DECISION-POINT T ))  
	    (T (*THROW '%/#DECISION-POINT () ))))))   
   (ASSQ (CAR P) ALIST)))
  
(MACRODEF CLAUSE-* (P D CP CD ALIST)
 (COND ((NULL (CDR P))
	(COND ((%%SPECIAL-FORMP (CAR D))
	       (SETQ P (NCONS (CONS '-SPECIAL-FORM- (CAR P)))) 
	       (EXCHANGE P D)(EXCHANGE CP CD))
	      (T
	       (SETQ P (CAR CP) D (CAR CD) CP (CDR CP) CD (CDR CD))))
	(GO UMATCH))
       (T ((LAMBDA (L)
		   (COND (%/#CONTINUE
			  ;(OR %/#CONTINUE-STACK (*THROW '%/#DECISION-POINT NIL ))
			  ;;; initialize for continuation
			  (SETQ L (PROG2 NIL (CAR %/#CONTINUE-STACK)
										       (SETQ %/#CONTINUE-STACK 
											     (CDR %/#CONTINUE-STACK))))
			  (SETQ D (DO ((L L (CDR L))
				       (D D (CDR D)))
				      ((NULL L) D)))
			  (COND ((NULL D)
				 (SETQ P (CDR P))
				 (GO UMATCH))))
			 (T (SETQ L NIL)))
		   ;;; try all possibilities
		   (DO ((L L (NCONC L (NCONS (CAR D))))
			(D D (CDR D))
			(E (CONS NIL D) (CDR E)))
		       ((NULL E) (*THROW '%/#DECISION-POINT NIL ))
		       (COND 
			((*CATCH '%/#DECISION-POINT
			  (COND
			   ((AND L
				 (%%SPECIAL-FORMP (CAR D)))
			    (%%UMATCH D (CDR P) CP CD ALIST NOBIND))
			   (T (%%UMATCH (CDR P) D CP CD ALIST NOBIND) ))
			  )
			 (AND %/#RETAIN (SETQ %/#CONTINUE-STACK
					     (CONS L %/#CONTINUE-STACK)))
			(*THROW '%/#DECISION-POINT T )))))
	   NIL))))
				     
(MACRODEF CLAUSE-*-VARIABLE (P D CP CD ALIST)
 ((LAMBDA (%T%) 
   (COND (%T% (SETQ P (APPEND (SPECIAL-FORM (CDR %T%)) (CDR P)))
		    (GO UMATCH))
	  ((NULL (CDR P))
	   (COND 
	    ((*CATCH '%/#DECISION-POINT
	      (COND ((%%SPECIAL-FORMP (CAR D))
		      (%%UMATCH D (CONS (CONS '-SPECIAL-FORM- (CAR P))(CDR P))
				CD CP
				(CONS (CONS (CAR P) D)
				      ALIST) NOBIND))
		    (T (%%UMATCH (CAR CP) (CAR CD) (CDR CP)
				 (CDR CD) 
				 (CONS (CONS (CAR P) D)
				       ALIST) NOBIND)))
	      )
	     (OR NOBIND (SET (CAR P) (%%CHECK D)))
	     (*THROW '%/#DECISION-POINT T ))
	    (T (*THROW '%/#DECISION-POINT () ))))
	  (T ((LAMBDA(L)
	       (COND (%/#CONTINUE
		      (SETQ L (SYMEVAL (CAR P)))
		      (SETQ D (DO ((L L (CDR L))
				   (D D (CDR D)))
				  ((NULL L) D)))
		      (COND ((NULL D)
			     (SETQ P (CDR P))
			     (GO UMATCH))))
		     (T (SETQ L NIL)))
	       (DO ((L L (NCONC L (NCONS (CAR D))))
		    (D D (CDR D))
		    (E (CONS NIL D) (CDR E)))
		   ((NULL E) (*THROW '%/#DECISION-POINT NIL ))
		   (COND 
		    ((*CATCH '%/#DECISION-POINT
		      (COND ((AND L (%%SPECIAL-FORMP (CAR D)))
			     (%%UMATCH D (CDR P) CD CP (CONS (CONS (CAR P) L) ALIST) NOBIND))
			    (T (%%UMATCH (CDR P) D CP CD
					 (CONS (CONS (CAR P) L)
					       ALIST) NOBIND)))
		      )
		     (OR NOBIND (SET (CAR P) (%%CHECK L)))
		     (*THROW '%/#DECISION-POINT T )))))
	      NIL))))
   (ASSQ (CAR P) ALIST)) )     
  
(MACRODEF CLAUSE-=?-VARIABLE (P D CP CD ALIST)
  ((LAMBDA (%T%) 
	   (COND ((EQ (CAR %T%) '?)
		  ((LAMBDA (VAR)
			   ((LAMBDA (VAL)
				    (COND (VAL (SETQ P (CONS (CDR VAL) (CDR P))))
					  (T
					   (SETQ P 
						 (CONS (SYMEVAL VAR) (CDR P))))) 
				    (GO UMATCH))
			    (ASSQ VAR %/#ALIST)))
		   (IMPLODE %T%)))
		  (T 
		   ((LAMBDA (VAR)
			    ((LAMBDA (VAL)
				     (COND (VAL (SETQ P (APPEND (CDR VAL) (CDR P))))
					   (T
					    (SETQ P 
						  (APPEND (SYMEVAL VAR) (CDR P))))) 
				     (GO UMATCH))
			     (ASSQ VAR %/#ALIST)))
		    (IMPLODE %T%)))))
		  (CDR (EXPLODE (CAR P)))))   
;;; Choice Macros

(DEFMACRO CATCH-MATCH (FORM)
	  `(*CATCH '%/#DECISION-POINT ,FORM))

(DECLARE (SETQ DEFMACRO-FOR-COMPILING ()) 
	 (MAPEX T))

(EVAL-WHEN (COMPILE EVAL)
	   (DEFSTRUCT CHOOSER 
		      PAST-CHOICES ORIGINAL-DATA VARIABLE PREDICATES CHOICE EMPTY
		      SEARCH-LIST
		      CONSTANTP))

(DEFMACRO CHOOSEP (X) `(AND (NOT (ATOM ,X))
			    (MEMQ (CAR ,X) '($CHOOSE $CH))))

(DEFMACRO CHOOSE-VAR (X) `(CADR ,X))

(DEFMACRO EMPTY-CHOICE (X) `(EMPTY ,X))

(DEFMACRO COPY (X) `(MAPCAR (FUNCTION (LAMBDA (X) X)) ,X)))

(DEFUN %%UCHOOSE-FIRST (P D)
       (%%UCHOOSER
	(MAKE-CHOOSER PAST-CHOICES () ORIGINAL-DATA D
		      CONSTANTP (ATOM P)
		      SEARCH-LIST D
		      CHOICE ()
		      EMPTY ()
		      VARIABLE (COND ((ATOM P) P)
				     (T (CADR P)))
		      PREDICATES (COND ((ATOM P) ())
				       (T (CDDR P))))))

(DEFUN %%UCHOOSE-NEXT (OLD-CHOOSER)
       (%%UCHOOSER
	(MAKE-CHOOSER
	 PAST-CHOICES (PAST-CHOICES OLD-CHOOSER) 
	 ORIGINAL-DATA (ORIGINAL-DATA OLD-CHOOSER)
	 CONSTANTP (CONSTANTP OLD-CHOOSER)
	 SEARCH-LIST (SEARCH-LIST OLD-CHOOSER)
	 CHOICE ()
	 EMPTY ()
	 VARIABLE (VARIABLE OLD-CHOOSER)
	 PREDICATES (PREDICATES OLD-CHOOSER))))

(DEFMACRO NEXT-CHOICE (X) `(CHOICE ,X))


(DEFUN %%UCHOOSER (CHOOSER)
 (LET ((P (VARIABLE CHOOSER))
       (D (COPY (ORIGINAL-DATA CHOOSER)))
       (SL (COPY (SEARCH-LIST CHOOSER))))
      (LET ((CH ()))
	   (COND ((CONSTANTP CHOOSER)
		  (COND ((SETQ SL (MEMQ P SL))
			 (SETQ CH `(,P . ,(DELQ P D))) 
			 (COND ((MEMBER CH (PAST-CHOICES CHOOSER))
				(SETF (EMPTY CHOOSER) T))
			       (T (SETF (CHOICE CHOOSER) CH)
				  (SETF (SEARCH-LIST CHOOSER) (CDR SL))
				  (SETF (PAST-CHOICES CHOOSER)
					`(,CH . ,(PAST-CHOICES CHOOSER))))))
			(T (SETF (EMPTY CHOOSER) T))))
		 (T (LET ((CAND (%%USEARCH (PREDICATES CHOOSER) SL)))
			 (COND (CAND
				(SETQ CH `(,(CAR CAND) 
					   . ,(DELQ (CAR CAND)
						      D)))
				(COND ((MEMBER CH (PAST-CHOICES CHOOSER))
				       (SETF (EMPTY CHOOSER) T)) 
				      (T (SETF (CHOICE CHOOSER) CH)
					 (SETF (SEARCH-LIST CHOOSER) (CDR CAND))
					 (SETF (PAST-CHOICES CHOOSER)
					       `(,CH . ,(PAST-CHOICES CHOOSER))))))
				     (T (SETF (EMPTY CHOOSER) T))))))))  
 CHOOSER)

(DEFUN %%USEARCH (PREDS L)
       (DO ((L L (CDR L)))
	   ((NULL L) ())
	   (COND ((APPLY 'AND
			 (MAPCAR (FUNCTION (LAMBDA (F)
						   (FUNCALL F (CAR L))))
				 PREDS))
		  (RETURN L)))))

(MACRODEF CHOOSE-CLAUSE (P D CP CD ALIST)
 (LET ((PAT (CHOOSE-VAR (CAR P))))
       (DO ((DAT (%%UCHOOSE-FIRST PAT D)
		 (%%UCHOOSE-NEXT DAT)))
	   ((EMPTY-CHOICE DAT) (*THROW '%/#DECISION-POINT ()))
	   (COND ((*CATCH '%/#DECISION-POINT
			  (%%UMATCH 
			   (CONS PAT (CDR P))
			   (NEXT-CHOICE DAT) CP CD ALIST NOBIND))
		  (*THROW '%/#DECISION-POINT T))))))

;;; The Unification Matcher
;;; Matches 2 patterns.

(declare (special %statistics %calls)(fixnum %calls))
(setq %statistics () %calls 0)
(defun %calls () %calls)
(defun %statistics (x)(and x (setq %calls 0))(setq %statistics x))

;;; (%UMATCH <pat> <data> <initial alist, optional>)
(DEFUN %UMATCH %/#n 
 (AND %STATISTICS (SETQ %CALLS (1+ %CALLS)))
 ((LAMBDA(%/#CONTINUE)
       (SETQ %/#CONTINUE-STACK NIL)
       (*CATCH '%/#DECISION-POINT
	      (%%UMATCH (ARG 1) (ARG 2) NIL NIL
	(COND ((< 2 %/#n)(MAPCAR (FUNCTION (LAMBDA(%/#Q)(CONS %/#Q (SYMEVAL %/#Q))))
			      (ARG 3)))) ()) )) NIL))

;;; (%CONTINUE-UMATCH <pat> <data> <* stack> <intitial alist, optional>)
(DEFUN %CONTINUE-UMATCH %/#n 
	((LAMBDA(%/#CONTINUE)
		(SETQ %/#CONTINUE-STACK (ARG 3))
		(*CATCH '%/#DECISION-POINT
		       (%%UMATCH (ARG 1)(ARG 2) NIL NIL 
		 (COND ((< 3 %/#n)(MAPCAR (FUNCTION (LAMBDA(%/#Q)(CONS %/#Q (SYMEVAL %/#Q))))
			      (ARG 4)))) ()) )) 
	T))

;;; (%UMATCH-NOBIND <pat> <data> <initial alist, optional>)
(DEFUN %UMATCH-NOBIND %/#n 
 ((LAMBDA(%/#CONTINUE)
       (SETQ %/#CONTINUE-STACK NIL)
       (*CATCH '%/#DECISION-POINT
	      (%%UMATCH (ARG 1) (ARG 2) NIL NIL
	(COND ((< 2 %/#n)(MAPCAR (FUNCTION (LAMBDA(%/#Q)(CONS %/#Q (SYMEVAL %/#Q))))
			      (ARG 3)))) T) )) NIL))

;;; (%%/#CONTINUE-UMATCH-NOBIND <pat> <data> <* stack> <intitial alist, optional>)
(DEFUN %%/#CONTINUE-UMATCH-NOBIND %/#n 
	((LAMBDA(%/#CONTINUE)
		(SETQ %/#CONTINUE-STACK (ARG 3))
		(*CATCH '%/#DECISION-POINT
		       (%%UMATCH (ARG 1)(ARG 2) NIL NIL 
		 (COND ((< 3 %/#n)(MAPCAR (FUNCTION (LAMBDA(%/#Q)(CONS %/#Q (SYMEVAL %/#Q))))
			      (ARG 4)))) T) )) 
	T))

;;; %/#P is the pattern
;;; %/#D is the data
;;; %/#CP is the pattern to UMATCH against %/#CD if %/#P and %/#D UMATCH (i.e. a continuation)
;;; %/#CD is the data for the continuation
;;; ALIST is the current alist


(DEFUN %%UMATCH (%/#P %/#D %/#CP %/#CD %/#ALIST NOBIND)
(PROG NIL
 UMATCH
   (OR
	(COND
	 ;;; no more pattern
	 ((AND (NULL %/#P) (NULL %/#CP))
	  ;;; so there had better be no more data, unless there are some * vars etc
	  (COND ((AND (NULL %/#D)(NULL %/#CD))
		 ;;; if this is a reUMATCH, we back up for next try
		 (COND (%/#CONTINUE (SETQ %/#CONTINUE NIL)
			(*THROW '%/#DECISION-POINT NIL ))
			;;; otherwise success
		       ((*THROW '%/#DECISION-POINT T ))))
	        ;;; more data loses in some cases
		(T (COND ((OR (ATOM %/#D)
			      (MEMQ (CAR %/#D) '($R RESTRICT ⊗R $IR IRESTRICT ⊗IR))
			      (CHOOSEP %/#D))
			  ;;; if %/#D=?<var> or = nil
			  (SETQ %/#D (NCONS %/#D) %/#P '(NIL))
			  (GO UMATCH))
			 ((EQ (CAR %/#D) '*)
			  ;;; %/#D=(* ...) could work if (CDR %/#D) is all *-variables
			  (SETQ %/#D (CDR %/#D))
			  (GO UMATCH))
			 ((EQ (%%CHAR1 (CAR %/#D)) '*)
			  ;;; we succeed if (CAR %/#D) = (*<var> ...) 
			  ;;; and *<var> UMATCHed 0 elements.
			  ((LAMBDA(%T%)
				   (COND (%T% (SETQ %/#D (APPEND (SPECIAL-FORM (CDR %T%))
									      (CDR %/#D)))
						    (GO UMATCH))
					  (T (COND ((*CATCH  '%/#DECISION-POINT
						     (%%UMATCH 
						      NIL (CDR %/#D) %/#CP %/#CD
						      (CONS (CONS (CAR %/#D) NIL)
							    %/#ALIST) NOBIND) )
						    (OR NOBIND (SET (CAR %/#D) NIL))
						    (*THROW '%/#DECISION-POINT T ))
						   (T (*THROW '%/#DECISION-POINT () )))))) 
				   (ASSQ (CAR %/#D) %/#ALIST)))
			   (T (*THROW '%/#DECISION-POINT NIL ))))))
		
	 ((NULL %/#P)
	  ;;; if %/#P is null, but %/#D isn't, something is wrong sometimes
	  (COND (%/#D 
		 (COND ((OR (ATOM %/#D)
			      (MEMQ (CAR %/#D) '($R RESTRICT ⊗R $IR IRESTRICT ⊗IR))
			      (CHOOSEP %/#D))
			  ;;; if %/#D=?<var> or = nil
			  (SETQ %/#D (NCONS %/#D) %/#P '(NIL))
			  (GO UMATCH))
			 ((EQ (CAR %/#D) '*)
			  ;;; %/#D=(* ...) could work if (CDR %/#D) is all *-variables
			  (SETQ %/#D (CDR %/#D))
			  (GO UMATCH))
			 ((EQ (%%CHAR1 (CAR %/#D)) '*)
			  ;;; we succeed if (CAR %/#D) = (*<var> ...) 
			  ;;; and *<var> UMATCHed 0 elements.
			  ((LAMBDA(%T%)
				   (COND (%T% (SETQ %/#D (APPEND (SPECIAL-FORM (CDR %T%))
									      (CDR %/#D)))
 						    (GO UMATCH))
					  (T (COND ((*CATCH '%/#DECISION-POINT
						     (%%UMATCH 
						      NIL (CDR %/#D) %/#CP %/#CD
						      (CONS (CONS (CAR %/#D) NIL)
							    %/#ALIST) NOBIND) )
						    (OR NOBIND (SET (CAR %/#D) NIL))
						    (*THROW '%/#DECISION-POINT T ))
						   (T (*THROW '%/#DECISION-POINT () ))))) )
				   (ASSQ (CAR %/#D) %/#ALIST)))  
			   (T (*THROW '%/#DECISION-POINT NIL ))))
			 (T (SETQ %/#P (CAR %/#CP) %/#D (CAR %/#CD) %/#CP (CDR %/#CP) %/#CD (CDR %/#CD))
			    (GO UMATCH))))
         ((AND (NULL %/#D)
	       (NOT (RESTRICTP (CAR %/#P))))
	  ;;; if %/#D is null and %/#P isn't, we can still win
	  (COND ((OR (ATOM %/#P)
		     (MEMQ (CAR %/#P) '($R RESTRICT ⊗R $IR IRESTRICT ⊗IR))
		     (CHOOSEP %/#D))
		 ;;; if %/#P=?<var> or = nil
		 (SETQ %/#P (NCONS %/#P) %/#D '(NIL))
		 (GO UMATCH))
		((EQ (CAR %/#P) '*)
		 ;;; %/#P=(* ...) could work if (CDR %/#P) is all *-variables
		 (SETQ %/#P (CDR %/#P))
		 (GO UMATCH))
		((EQ (%%CHAR1 (CAR %/#P)) '*)
		  ;;; we succeed if (CAR %/#P) = (*<var> ...) and *<var> UMATCHed 0 elements.
		  ((LAMBDA(%T%)
			(COND (%T% (SETQ %/#P (APPEND (SPECIAL-FORM (CDR %T%))
								   (CDR %/#P)))
				   (GO UMATCH))
 			      (T (COND ((*CATCH '%/#DECISION-POINT
					       (%%UMATCH (CDR %/#P) NIL %/#CP %/#CD
				                        (CONS (CONS (CAR %/#P) NIL)
							      %/#ALIST) NOBIND) )
			                (OR NOBIND (SET (CAR %/#P) NIL))
			                (*THROW '%/#DECISION-POINT T ))
				       (T (*THROW '%/#DECISION-POINT () )))))) 
		 (ASSQ (CAR %/#P) %/#ALIST)))
		))
	 ((OR (REAL-ATOM %/#P) (REAL-ATOM %/#D)
	      (RESTRICTP %/#P)(RESTRICTP %/#D))
	  ;;; here we listify things if necessary
	  (SETQ %/#P (NCONS %/#P) %/#D (NCONS %/#D))
	  (GO UMATCH))
	 ;;; ? restrictions

	 ((AND (NOT (ATOM (CAR %/#P)))
	       (MEMQ (CAAR %/#P) '($R RESTRICT ⊗R))
	       (EQ (%%CHAR1 (CADAR %/#P)) '?) 
	       (NOT (NULL %/#D))
	       (APPLY 'AND
		      (MAPCAR 
        	       (FUNCTION (LAMBDA (%/#PRED) (COND ((OR (RESTRICTP (CAR %/#D))
							     (%%SPECIAL-FORMP (CAR %/#D))
							     (FUNCALL %/#PRED (CAR %/#D)))
							T))))
		       (CDDAR %/#P)))) 
	  (COND ((EQ (%%CHAR1 (CADAR %/#P)) '?) 
		 (CLAUSE-?-RESTRICTIONS %/#P %/#D %/#CP %/#CD %/#ALIST))
		((EQ (%%CHAR1 (CADAR %/#P)) '=)
		 ((LAMBDA (VAR)
			  ((LAMBDA (VAL)
				   (COND (VAL 
					  (SETQ %/#P (CONS (LIST (CAAR %/#P) VAR (CDDAR %/#P))
							  (CDR %/#P)))) 
					 (T (SETQ %/#P (CONS (LIST (CAAR %/#P) VAR (CDDAR %/#P))
							    (CDR %/#P))
						  %/#ALIST (CONS (CONS VAR (SYMEVAL VAR))
								%/#ALIST)))))
			   (ASSQ VAR %/#ALIST)))
		  (IMPLODE (CDR (EXPLODE (CADAR %/#P)))))
		 (GO UMATCH))
		(T (*THROW '%/#DECISION-POINT () ))))

	 ((AND (NOT (ATOM (CAR %/#P)))
	       (MEMQ (CAAR %/#P) '($R RESTRICT ⊗R)))
	  (CLAUSE-*-RESTRICTIONS %/#P %/#D %/#CP %/#CD %/#ALIST))

	 ((AND (NOT (ATOM (CAR %/#P)))
	       (MEMQ (CAAR %/#P) '($IR IRESTRICT ⊗IR)))
	  (CLAUSE-*-IRESTRICTIONS %/#P %/#D %/#CP %/#CD %/#ALIST))

         ((EQ (CAR %/#P) '*)
	  ;;; (* ...)
	  (CLAUSE-* %/#P %/#D %/#CP %/#CD %/#ALIST))

	 ((EQ (%%CHAR1 (CAR %/#P)) '*)
	  ;;; similar for (*foo ...)
	  (CLAUSE-*-VARIABLE %/#P %/#D %/#CP %/#CD %/#ALIST))

	 ((EQ (%%CHAR1 (CAR %/#P)) '=)
	   ;;; (=?foo ...)
	  (CLAUSE-=?-VARIABLE %/#P %/#D %/#CP %/#CD %/#ALIST))

	 ((AND (NOT (ATOM (CAR %/#D)))
	       (MEMQ (CAAR %/#D) '($R RESTRICT ⊗R))
	       (APPLY 'AND
		      (MAPCAR 
        	       (FUNCTION (LAMBDA (%/#PRED) (COND ((OR (RESTRICTP (CAR %/#P))
							     (%%SPECIAL-FORMP (CAR %/#P))
							     (FUNCALL %/#PRED (CAR %/#P)))
							T))))
		       (CDDAR %/#D))))
	  (COND ((EQ (%%CHAR1 (CADAR %/#D)) '?) 
		 (COND ((NULL %/#P)(*THROW '%/#DECISION-POINT ()))
		       (T (CLAUSE-?-RESTRICTIONS %/#D %/#P %/#CD %/#CP %/#ALIST))))
		((EQ (%%CHAR1 (CADAR %/#P)) '=)
		 ((LAMBDA (VAR)
			  ((LAMBDA (VAL)
				   (COND (VAL 
					  (SETQ %/#P (CONS (LIST (CAAR %/#P) VAR (CDDAR %/#P))
							  (CDR %/#P)))) 
					 (T (SETQ %/#P (CONS (LIST (CAAR %/#P) VAR (CDDAR %/#P))
							    (CDR %/#P))
						  %/#ALIST (CONS (CONS VAR (SYMEVAL VAR))
								%/#ALIST)))))
			   (ASSQ VAR %/#ALIST)))
		  (IMPLODE (CDR (EXPLODE (CADAR %/#P)))))
		 (GO UMATCH))
		(T (*THROW '%/#DECISION-POINT () ))))

	 ((AND (NOT (ATOM (CAR %/#D)))
	       (MEMQ (CAAR %/#D) '($R RESTRICT ⊗R)))
	  (CLAUSE-*-RESTRICTIONS %/#D %/#P %/#CD %/#CP %/#ALIST))

	 ((AND (NOT (ATOM (CAR %/#D)))
	       (MEMQ (CAAR %/#D) '($IR IRESTRICT ⊗IR)))
	  (CLAUSE-*-IRESTRICTIONS %/#D %/#P %/#CD %/#CP %/#ALIST))

         ((EQ (CAR %/#D) '*)
	  ;;; (* ...)
	  (CLAUSE-* %/#D %/#P %/#CD %/#CP %/#ALIST))

	 ((EQ (%%CHAR1 (CAR %/#D)) '*)
	  ;;; similar for (*foo ...)
	  (CLAUSE-*-VARIABLE %/#D %/#P %/#CD %/#CP %/#ALIST))

	 ((EQ (%%CHAR1 (CAR %/#D)) '=)
	   ;;; (=?foo ...)
	  (CLAUSE-=?-VARIABLE %/#D %/#P %/#CD %/#CP %/#ALIST))

	 ((OR (EQUAL (CAR %/#P) (CAR %/#D)) (EQ (CAR %/#P) '?) (EQ (CAR %/#D) '?))
	  ;;; easiest case
	  (SETQ %/#P (CDR %/#P) %/#D (CDR %/#D))
	  (GO UMATCH))

	 ((EQ (%%CHAR1 (CAR %/#P)) '?)
	  ;;; (?foo ...)
	  (CLAUSE-?-VARIABLE %/#P %/#D %/#CP %/#CD %/#ALIST))

	 ((EQ (%%CHAR1 (CAR %/#D)) '?)
	  ;;; (?foo ...)
	  (CLAUSE-?-VARIABLE %/#D %/#P %/#CD %/#CP %/#ALIST))

         ((CHOOSEP (CAR %/#P))
	  (CHOOSE-CLAUSE  %/#P %/#D %/#CP %/#CD %/#ALIST))

         ((CHOOSEP (CAR %/#D))
	  (CHOOSE-CLAUSE  %/#D %/#P %/#CD %/#CP %/#ALIST))

	 ((AND (NOT (ATOM (CAR %/#P))) 
	       (OR (NULL (CAR %/#D))(NOT (ATOM (CAR %/#D)))))
	  ;;; the big recursion
	  ;;; notice that we want nil to be a list here, not an atom
	  ;;; since ((*) ...) (nil ...) needs a chance
	  (SETQ 
	   %/#CP (CONS (CDR %/#P) %/#CP) 
	   %/#CD (CONS (CDR %/#D) %/#CD)
	   %/#P (CAR %/#P) %/#D (CAR %/#D))
	  (GO UMATCH)))
 (*THROW '%/#DECISION-POINT () )))) 
;;*page