June 2018 Update

Task/Continued-fraction/Julia/continued-fraction.julia

@@ -0,0 +1,36 @@
+function _sqrt(a::Bool, n)
+    if a
+        return n > 0 ? 2.0 : 1.0
+    else
+        return 1.0
+    end
+end
+
+function _napier(a::Bool, n)
+    if a
+        return n > 0 ? Float64(n) : 2.0
+    else
+        return n > 1 ? n - 1.0 : 1.0
+    end
+end
+
+function _pi(a::Bool, n)
+    if a
+        return n > 0 ? 6.0 : 3.0
+    else
+        return (2.0 * n - 1.0) ^ 2.0 # exponentiation operator
+    end
+end
+
+function calc(f::Function, expansions::Integer)
+    a, b = true, false
+    r = 0.0
+    for i in expansions:-1:1
+        r = f(b, i) / (f(a, i) + r)
+    end
+    return f(a, 0) + r
+end
+
+for (v, f) in (("√2", _sqrt), ("e", _napier), ("π", _pi))
+    @printf("%3s = %f\n", v, calc(f, 1000))
+end