Data update

Task/Exponentiation-operator/Pluto/exponentiation-operator.pluto

@@ -0,0 +1,68 @@
+class num2
+    static function ipow(i, exp)
+        assert(math.type(i) == "integer", "receiver must be an integer")
+        assert(math.type(exp) == "integer", "exponent must be an integer")
+        if i == 1 or exp == 0 then return 1 end
+        if i == -1 then return exp % 2 == 0 ? 1 : -1 end
+        assert(exp >= 0, "exponent cannot be negative for non-unit values")
+        local ans = 1
+        local base = i
+        local e = exp
+        while e > 1 do
+            if e % 2 == 1 then ans *= base end
+            e //= 2
+            base *= base
+        end
+        return ans * base
+    end
+
+    static function fpow(f, exp)
+       assert(type(f) == "number", "receiver must be a number")
+       assert(math.type(exp) == "integer", "exponent must be an integer")
+       local ans = 1.0
+       local e = exp
+       local base = e < 0 ? 1 / f : f
+       if e < 0 then e = -e end
+       while e > 0 do
+            if e % 2 == 1 then ans *= base end
+            e //= 2
+            base *= base
+       end
+       return ans
+    end
+
+    public n
+
+    function __construct(n)
+        assert(type(n) == "number", "argument must be a number")
+        self.n = n
+    end
+
+    -- Overloads '^' operator.
+    function __pow(exp)
+        assert(math.type(exp) == "integer", "exponent must be an integer")
+        if math.type(n) == "integer" and (exp >= 0 or math.abs(self.n) == 1) then
+            return num2.ipow(self.n, exp)
+        else
+            return num2.fpow(self.n, exp)
+        end
+    end
+end
+
+print("Using static methods:")
+print($"  2 ^   3   = {num2.ipow( 2,   3)}")
+print($"  1 ^ -10   = {num2.ipow( 1, -10)}")
+print($" -1 ^  -3   = {num2.ipow(-1,  -3)}")
+print()
+print($"  2.0 ^ -3  = {num2.fpow(2.0, -3)}")
+print($"  1.5 ^  0  = {num2.fpow(1.5,  0)}")
+print($"  4.5 ^  2  = {num2.fpow(4.5,  2)}")
+
+print("\nUsing the ^ operator:")
+print($"  2 ^   3   = {new num2(2)  ^   3}")
+print($"  1 ^ -10   = {new num2(1)  ^ -10}")
+print($" -1 ^  -3   = {new num2(-1) ^  -3}")
+print()
+print($"  2.0 ^ -3  = {new num2(2.0) ^ -3}")
+print($"  1.5 ^  0  = {new num2(1.5) ^  0}")
+print($"  4.5 ^  2  = {new num2(4.5) ^  2}")