diff --git a/lib/ios.cpp b/lib/ios.cpp
new file mode 100644
index 0000000..3624aee
--- /dev/null
+++ b/lib/ios.cpp
@@ -0,0 +1,50 @@
+
+#include "codecrypt.h"
+
+#include <iostream>
+using namespace std;
+using namespace ccr;
+
+ostream& operator<< (ostream&o, const polynomial& p)
+{
+	o << "polynomial degree " << p.degree() << ':' << endl;
+	for (int i = 0, e = p.degree(); i <= e; ++i) o << p[i] << ' ';
+	o << endl;
+	return o;
+}
+
+ostream& operator<< (ostream&o, const permutation& p)
+{
+	o << "permutation over " << p.size() << " elements:" << endl;
+	for (uint i = 0; i < p.size(); ++i) o << p[i] << ' ';
+	o << endl;
+	return o;
+}
+
+ostream& operator<< (ostream&o, const gf2m& f)
+{
+	o << "GF(2^" << f.m << ") of " << f.n << " elements, modulus " << f.poly << endl;
+	return o;
+}
+
+ostream& operator<< (ostream&o, const matrix& m)
+{
+	uint i, j, h, w;
+	h = m.height();
+	w = m.width();
+	o << "binary " << h << "x" << w << " matrix:" << endl;
+	for (i = 0; i < h; ++i) {
+		for (j = 0; j < w; ++j) o << m[j][i];
+		o << endl;
+	}
+	return o;
+}
+
+ostream& operator<< (ostream&o, const bvector& v)
+{
+	o << "vector of " << v.size() << " elements:" << endl;
+	for (uint i = 0, e = v.size(); i < e; ++i) cout << v[i];
+	cout << endl;
+	return o;
+}
+