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Ingy döt Net 2023-07-01 11:58:00 -04:00
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%% ^^/3
%
% True if Power is Base ^ Exp.
^^(Base, Exp, Power) :-
( Exp < 0 -> Power is 1 / (Base ^^ (Exp * -1)) % If exponent is negative, then ...
; Exp > 0 -> length(Powers, Exp), % If exponent is positive, then
foldl( exp_folder(Base), Powers, 1, Power ) % Powers is a list of free variables with length Exp
% and Power is Powers folded with exp_folder/4
; Power = 1 % otherwise Exp must be 0, so
).
%% exp_folder/4
%
% True when Power is the product of Base and Powers.
%
% This predicate is designed to work with foldl and a list of free variables.
% It passes the result of each evaluation to the next application through its
% fourth argument, instantiating the elements of Powers to each successive Power of the Base.
exp_folder(Base, Power, Powers, Power) :-
Power is Base * Powers.