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Task/Fibonacci-sequence/Phix/fibonacci-sequence-2.phix

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+include builtins\bigatom.e
+
+sequence fcacheba = {BA_ONE,BA_ONE}
+
+function fibonamemba(integer n) -- memoized, works for -ve numbers, yields bigatom
+integer absn = abs(n)
+    if n=0 then return BA_ZERO end if
+    if absn>length(fcacheba) then
+        fcacheba = append(fcacheba,ba_add(fibonamemba(absn-1),fibonamemba(absn-2)))
+        if absn!=length(fcacheba) then ?9/0 end if
+    end if
+    if n<0 and remainder(n,2)=0 then return ba_sub(0,fcacheba[absn]) end if
+    return fcacheba[absn]
+end function
+
+for i=0 to 30 do
+    ba_printf(1,"%B", fibonamemba(i))
+    if i!=30 then puts(1,", ") end if
+end for
+puts(1,"\n")
+ba_printf(1,"%B", fibonamemba(777))
+puts(1,"\n")