Initial data commit

Task/Metallic-ratios/Sidef/metallic-ratios.sidef

@@ -0,0 +1,23 @@
+func seqRatio(f, places = 32) {
+    1..Inf -> reduce {|t,n|
+        var r = (f(n+1)/f(n)).round(-places)
+        return(n, r.as_dec(places + r.abs.int.len)) if (r == t)
+        r
+    }
+}
+
+for k,v in (%w(Platinum Golden Silver Bronze Copper Nickel Aluminum Iron Tin Lead).kv) {
+    next if (k == 0)   # undefined ratio
+    say "Lucas sequence U_n(#{k},-1) for #{v} ratio"
+    var f = {|n| lucasu(k, -1, n) }
+    say ("First 15 elements: ", 15.of(f).join(', '))
+    var (n, r) = seqRatio(f)
+    say "Approximated value: #{r} reached after #{n} iterations"
+    say ''
+}
+
+with (seqRatio({|n| fib(n) }, 256)) {|n,v|
+    say "Golden ratio to 256 decimal places:"
+    say "Approximated value: #{v}"
+    say "Reached after #{n} iterations"
+}