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diff --git a/test/unit/pj_phi2_test.cpp b/test/unit/pj_phi2_test.cpp
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+++ b/test/unit/pj_phi2_test.cpp
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+/******************************************************************************
+ *
+ * Project:  PROJ
+ * Purpose:  Test pj_phi2 function.
+ * Author:   Kurt Schwehr <schwehr@google.com>
+ *
+ ******************************************************************************
+ * Copyright (c) 2018, Google Inc.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included
+ * in all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+ * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+ * DEALINGS IN THE SOFTWARE.
+ ****************************************************************************/
+
+#include "projects.h"
+
+#include <cmath>
+#include <limits>
+
+#include "gtest_include.h"
+
+namespace {
+
+TEST(PjPhi2Test, Basic) {
+    projCtx ctx = pj_get_default_ctx();
+
+    EXPECT_DOUBLE_EQ(M_PI_2, pj_phi2(ctx, 0.0, 0.0));
+
+    EXPECT_DOUBLE_EQ(0.0, pj_phi2(ctx, 1.0, 0.0));
+    EXPECT_DOUBLE_EQ(M_PI_2, pj_phi2(ctx, 0.0, 1.0));
+    EXPECT_DOUBLE_EQ(M_PI, pj_phi2(ctx, -1.0, 0.0));
+    EXPECT_DOUBLE_EQ(M_PI_2, pj_phi2(ctx, 0.0, -1.0));
+
+    EXPECT_DOUBLE_EQ(0.0, pj_phi2(ctx, 1.0, 1.0));
+    EXPECT_DOUBLE_EQ(M_PI, pj_phi2(ctx, -1.0, -1.0));
+
+    // TODO(schwehr): M_PI_4, M_PI_2, M_PI, M_E
+    // https://www.gnu.org/software/libc/manual/html_node/Mathematical-Constants.html
+
+    EXPECT_DOUBLE_EQ(-0.95445818456292697, pj_phi2(ctx, M_PI, 0.0));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, 0.0, M_PI)));
+    EXPECT_DOUBLE_EQ(4.0960508381527205, pj_phi2(ctx, -M_PI, 0.0));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, 0.0, -M_PI)));
+
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, M_PI, M_PI)));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, -M_PI, -M_PI)));
+}
+
+
+TEST(PjPhi2Test, AvoidUndefinedBehavior) {
+    auto ctx = pj_get_default_ctx();
+
+    constexpr auto nan = std::numeric_limits<double>::quiet_NaN();
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, nan, 0.0)));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, 0.0, nan)));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, nan, nan)));
+
+    // We do not really care about the values that follow.
+    constexpr auto inf = std::numeric_limits<double>::infinity();
+
+    EXPECT_DOUBLE_EQ(-M_PI_2, pj_phi2(ctx, inf, 0.0));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, 0.0, inf)));
+
+    EXPECT_DOUBLE_EQ(4.7123889803846897, pj_phi2(ctx, -inf, 0.0));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, 0.0, -inf)));
+
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, inf, inf)));
+    EXPECT_TRUE(std::isnan(pj_phi2(ctx, -inf, -inf)));
+}
+
+}  // namespace
+\ No newline at end of file