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			75 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			75 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(0, _, 0).
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| 
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| 	diff(_, 0, 0).
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| 
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| 	diff(X, J, 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, I * 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, X * DY + DX * Y) :-
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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(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(0, _, 0).
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| 
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| 	simplify(_, 0, 0).
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| 
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| 	simplify(1, Y, SY) :-
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| 		Y::simplify(SY).
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| 
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| 	simplify(X, 1, SX) :-
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| 		X::simplify(SX).
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| 
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| 	simplify(I, Y, I * SY) :-
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| 		integer(I),
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| 		Y::simplify(SY).
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| 
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| 	simplify(X, J, J * SX) :-
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| 		integer(J),
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| 		X::simplify(SX).
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| 
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| 	simplify(X, Y, SX * SY) :-
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| 		X::simplify(SX),
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| 		Y::simplify(SY).
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| 
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| 
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| :- end_object.
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