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Task/Fibonacci-sequence/ECL/fibonacci-sequence.ecl

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+//Calculates Fibonacci sequence up to n steps using Binet's closed form solution
+
+
+FibFunction(UNSIGNED2 n) := FUNCTION
+	REAL Sqrt5 := Sqrt(5);
+	REAL Phi := (1+Sqrt(5))/2;
+	REAL Phi_Inv := 1/Phi;
+	UNSIGNED FibValue := ROUND( ( POWER(Phi,n)-POWER(Phi_Inv,n) ) /Sqrt5);
+	RETURN FibValue;
+	END;
+
+ FibSeries(UNSIGNED2 n) := FUNCTION
+
+ Fib_Layout := RECORD
+ UNSIGNED5 FibNum;
+ UNSIGNED5 FibValue;
+ END;
+
+ FibSeq := DATASET(n+1,
+  TRANSFORM
+ ( Fib_Layout
+ , SELF.FibNum := COUNTER-1
+ , SELF.FibValue := IF(SELF.FibNum<2,SELF.FibNum, FibFunction(SELF.FibNum) )
+ )
+ );
+
+ RETURN FibSeq;
+
+ END; }