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Task/Continued-fraction/Sidef/continued-fraction.sidef

@@ -0,0 +1,29 @@
+func continued_fraction(a, _, (0)) { a() }
+func continued_fraction(a, b, n=100) {
+    a() + (b() / continued_fraction(a, b, n-1));
+}
+
+var f = Hash.new(
+    "√2" => [
+        do { var n = 0; { n++ ? 2 : 1 } },
+        { 1 },
+    ],
+    "e" => [
+        do { var n = 0; { n++ || 2 } },
+        do { var n = 0; { n++ || 1 } },
+    ],
+    "π" => [
+        do { var n = 0; { n++ ? 6 : 3 } },
+        do { var n = 0; { (2*(n++) + 1)**2 } },
+        1_000,
+    ],
+    "π/2" => [
+        do { var n = 0; { 1/(n++ || 1) } },
+        { 1 },
+        1_000,
+    ]
+);
+
+f.each { |k,v|
+    printf("%3s ≈ %.9f\n", k, continued_fraction(v...));
+}