Initial data commit

Task/Miller-Rabin-primality-test/D/miller-rabin-primality-test.d

@@ -0,0 +1,50 @@
+import std.random;
+
+bool isProbablePrime(in ulong n, in uint k=10) /*nothrow*/ @safe /*@nogc*/ {
+    static ulong modPow(ulong b, ulong e, in ulong m)
+    pure nothrow @safe @nogc {
+        ulong result = 1;
+        while (e > 0) {
+            if ((e & 1) == 1)
+                result = (result * b) % m;
+            b = (b ^^ 2) % m;
+            e >>= 1;
+        }
+        return result;
+    }
+
+    if (n < 2 || n % 2 == 0)
+        return n == 2;
+
+    ulong d = n - 1;
+    ulong s = 0;
+    while (d % 2 == 0) {
+        d /= 2;
+        s++;
+    }
+    assert(2 ^^ s * d == n - 1);
+
+    outer:
+    foreach (immutable _; 0 .. k) {
+        immutable ulong a = uniform(2, n);
+        ulong x = modPow(a, d, n);
+        if (x == 1 || x == n - 1)
+            continue;
+        foreach (immutable __; 1 .. s) {
+            x = modPow(x, 2, n);
+            if (x == 1)
+                return false;
+            if (x == n - 1)
+                continue outer;
+        }
+        return false;
+    }
+
+    return true;
+}
+
+void main() { // Demo code.
+    import std.stdio, std.range, std.algorithm;
+
+    iota(2, 30).filter!isProbablePrime.writeln;
+}