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			73 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			73 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| 
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| :- object(_ - _,
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| 	implements(symdiffp)).
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| 
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| 
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| 	:- info([
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| 		authors is 'Paulo Moura',
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| 		version is 1.0,
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| 		date is 1999/12/29,
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| 		parnames is ['Expression1', 'Expression2'],
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| 		comment is 'Symbolic differentiation and simplification of -/2 expressions.',
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| 		source is 'Example based on the Clocksin and Mellish Prolog book.']).
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| 
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| 
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| 	diff(Diff) :-
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| 		this(X - Y),
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| 		once(diff(X, Y, Diff)).
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| 
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| 
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| 	diff(I, J, 0) :-
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| 		integer(I),
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| 		integer(J).
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| 
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| 	diff(X, J, DX) :-
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| 		integer(J),
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| 		X::diff(DX).
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| 
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| 	diff(I, Y, DY) :-
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| 		integer(I),
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| 		Y::diff(DY).
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| 
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| 	diff(X, Y, DX - DY) :-
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| 		X::diff(DX),
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| 		Y::diff(DY).
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| 
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| 
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| 	simplify(S) :-
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| 		this(X - Y),
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| 		once(simplify(X, Y, S)).
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| 
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| 
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| 	simplify(X, X, 0).
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| 
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| 	simplify(I, J, S) :-
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| 		integer(I),
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| 		integer(J),
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| 		S is I - J.
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| 
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| 	simplify(X, 0, S) :-
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| 		X::simplify(S).
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| 
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| 	simplify(0, Y, S) :-
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| 		Y::simplify(S).
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| 
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| 	simplify(X, J, S - J) :-
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| 		integer(J),
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| 		X::simplify(S).
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| 
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| 	simplify(I, Y, I - S) :-
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| 		integer(I),
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| 		Y::simplify(S).
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| 
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| 	simplify(X, Y, S) :-
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| 		X::simplify(SX),
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| 		Y::simplify(SY),
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| 		(X - Y \= SX - SY ->
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| 			(SX - SY)::simplify(S)
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| 			;
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| 			S = SX - SY).
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| 
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| 
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| :- end_object.
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