First, there are some tiny errors, your compiler should indicate, like the unnecessary singleton variables in the second clause. After repairing this, and replacing ads by ad we have:
ad(X,Z):- mod(X,2) =:= 0, Z is Z+X.
ad(X,Z) :- mod(X,2) =\= 0,Z is Z.
sum_of_nums(0,0,0).
sum_of_nums(X,Y,Z) :- X=<Y, ad(X,Z), sum_of_nums(X+1,Y,Z).
?- sum_of_nums(1,2,S).
error(instantiation_error,(is)/2).
To locate this error, I will insert some goals false
such that the
resulting program still produces this instantiation error.
ad(X,Z):- mod(X,2) =:= 0, Z is Z+X, false.
ad(X,Z) :- false, mod(X,2) =\= 0,Z is Z.
sum_of_nums(0,0,0) :- false.
sum_of_nums(X,Y,Z) :- X=<Y, ad(X,Z), false, sum_of_nums(X+1,Y,Z).
?- sum_of_nums(1,2,S).
error(instantiation_error,(is)/2).
Therefore, you have an error in this part already.
It's the Z is Z+X
. On the right hand side of (is)/2
you always
need to have variables that are instantiated (known). And Z
is not
known.
Variables are a bit different in Prolog. You cannot reassign them.
And also, writing this in Prolog directly doesn't really show what the
language is good at.
sum_of(X, Y, 0) :-
X > Y.
sum_of(X1, Y, Z1) :-
X1 =< Y,
( X1 mod 2 =:= 0 -> S = X1 ; S = 0 ),
X2 is X1+1,
sum_of(X2, Y, Z2),
Z1 is Z2+S.
A more idiomatic way would be:
?- between(1,6,N).
N = 1
; N = 2
; N = 3
; N = 4
; N = 5
; N = 6.
?- between(1,6,N), N mod 2 =:= 0.
N = 2
; N = 4
; N = 6.
?- findall(N, ( between(1,6,N), N mod 2 =:= 0 ), Ns).
Ns = [2,4,6].
?- findall(N, ( between(1,6,N), N mod 2 =:= 0 ), Ns), sum_list(Ns,Sum).
Ns = [2,4,6], Sum = 12.
sum_of(X,Y,Sum) :-
findall(N, ( between(X,Y,N), N mod 2 =:= 0 ), Ns),
sum_list(Ns,Sum).