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diff --git a/o3d/utils/cross/math_gtest.cc b/o3d/utils/cross/math_gtest.cc
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+++ b/o3d/utils/cross/math_gtest.cc
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+/*
+ * Copyright 2009, Google Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ *
+ *     * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *     * Redistributions in binary form must reproduce the above
+ * copyright notice, this list of conditions and the following disclaimer
+ * in the documentation and/or other materials provided with the
+ * distribution.
+ *     * Neither the name of Google Inc. nor the names of its
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+// This file defines the some helper for gtest for the math library used by O3D.
+
+#include "utils/cross/math_gtest.h"
+#include "core/cross/types.h"
+
+
+namespace Vectormath {
+namespace Aos {
+
+bool operator==(const Vector4& left, const Vector4& right) {
+  return left[0] == right[0] && left[1] == right[1] && left[2] == right[2] &&
+         left[3] == right[3];
+}
+
+bool operator!=(const Vector4& left, const Vector4& right) {
+  return !(left == right);
+}
+
+bool operator==(const Matrix4& left, const Matrix4& right) {
+  return left[0] == right[0] && left[1] == right[1] && left[2] == right[2] &&
+         left[3] == right[3];
+}
+
+bool operator!=(const Matrix4& left, const Matrix4& right) {
+  return !(left == right);
+}
+
+std::ostream& operator<<(std::ostream& stream, const Vector4& value) {
+  stream << "{" << value[0] << ", " << value[1] << ", " << value[2] << ", "
+         << value[3] << "}";
+  return stream;
+}
+
+std::ostream& operator<<(std::ostream& stream, const Matrix4& value) {
+  stream << "{" << value[0] << ", " << value[1] << ", " << value[2] << ", "
+         << value[3] << "}";
+  return stream;
+}
+
+}  // namespace Aos
+}  // namespace Vectormath
+
+namespace o3d {
+
+bool operator==(const Float2& left, const Float2& right) {
+  return left[0] == right[0] && left[1] == right[1];
+}
+
+bool operator!=(const Float2& left, const Float2& right) {
+  return !(left == right);
+}
+
+bool operator==(const Float3& left, const Float3& right) {
+  return left[0] == right[0] && left[1] == right[1] && left[2] == right[2];
+}
+
+bool operator!=(const Float3& left, const Float3& right) {
+  return !(left == right);
+}
+
+bool operator==(const Float4& left, const Float4& right) {
+  return left[0] == right[0] && left[1] == right[1] && left[2] == right[2] &&
+         left[3] == right[3];
+}
+
+bool operator!=(const Float4& left, const Float4& right) {
+  return !(left == right);
+}
+
+std::ostream& operator<<(std::ostream& stream, const Float2& value) {
+  stream << "{" << value[0] << ", " << value[1] << "}";
+  return stream;
+}
+
+std::ostream& operator<<(std::ostream& stream, const Float3& value) {
+  stream << "{" << value[0] << ", " << value[1] << ", " << value[2] << "}";
+  return stream;
+}
+
+std::ostream& operator<<(std::ostream& stream, const Float4& value) {
+  stream << "{" << value[0] << ", " << value[1] << ", " << value[2] << ", "
+         << value[3] << "}";
+  return stream;
+}
+
+}  // namespace o3d
+
+