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pl:prolog:pllib:polygon_area [2019/06/27 15:50] (aktualna)
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 +====== Polygon area ======
 +{{tag>​geometry recursion lists
 +geometry recursion lists}}
 +===== Description =====
 +Area is the area of the polygon enclosed by the list of points chain, where the coordinates of each point are represented by a pair (X,Y) of integers.
 +
 +**Source**: ​ The Art of Prolog
 +===== Download =====
 +Program source code: {{polygon_area.pl}}
 +===== Listing =====
 +<code prolog>
 +/*
 +   ​area(Chain,​Area) :- 
 + Area is the area of the polygon enclosed by the list of points
 + Chain, where the coordinates of each point are represented by 
 + a pair (X,Y) of integers.
 +*/
 +     ​area([Tuple],​0).
 +     ​area([(X1,​Y1),​(X2,​Y2)|XYs],​Area) :-
 +        area([(X2,​Y2)|XYs],​Area1), ​
 +        Area is (X1*Y2-Y1*X2)/​2 + Area1.
 +
 +%  Program 8.8  Computing the area of polygons
 +
 +
 +</​code>​
 +===== Comments =====
  
pl/prolog/pllib/polygon_area.txt · ostatnio zmienione: 2019/06/27 15:50 (edycja zewnętrzna)
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