--- /dev/null
+// Copyright (C) 2016 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// { dg-options "-std=gnu++17" }
+// { dg-do run { target c++1z } }
+
+#include <cmath>
+#include <type_traits>
+#if defined(__TEST_DEBUG)
+#include <iostream>
+#define VERIFY(A) \
+if (!(A)) \
+ { \
+ std::cout << "line " << __LINE__ \
+ << " max_abs_frac = " << max_abs_frac \
+ << " tolerance = " << toler \
+ << std::endl; \
+ }
+#else
+#include <testsuite_hooks.h>
+#endif
+
+using std::is_same_v;
+static_assert(is_same_v<double, decltype(std::hypot(0.0, 0.0, 0.0))>);
+static_assert(is_same_v<double, decltype(std::hypot(0.0f, 0.0, 0.0))>);
+static_assert(is_same_v<double, decltype(std::hypot(0.0, 0.0f, 0.0))>);
+static_assert(is_same_v<double, decltype(std::hypot(0.0, 0.0, 0.0f))>);
+static_assert(is_same_v<double, decltype(std::hypot(0.0f, 0.0f, 0.0))>);
+static_assert(is_same_v<double, decltype(std::hypot(0.0f, 0.0, 0))>);
+static_assert(is_same_v<long double, decltype(std::hypot(0.0f, 0.0, 0.0l))>);
+static_assert(is_same_v<long double, decltype(std::hypot(0, 0.0, 0.0l))>);
+
+template<typename T> struct testcase_hypot { T x, y, z, f0; };
+
+template<typename Tp, unsigned int Num>
+ void
+ test(const testcase_hypot<Tp> (&data)[Num], Tp toler)
+ {
+ bool test __attribute__((unused)) = true;
+ const Tp eps = std::numeric_limits<Tp>::epsilon();
+ Tp max_abs_diff = -Tp(1);
+ Tp max_abs_frac = -Tp(1);
+ unsigned int num_datum = Num;
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Tp f = std::hypot(data[i].x, data[i].y, data[i].z);
+ const Tp f0 = data[i].f0;
+ const Tp diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Tp(10) * eps && std::abs(f) > Tp(10) * eps)
+ {
+ const Tp frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < toler);
+ }
+
+const testcase_hypot<double> data1[] = {
+ { 0.0, 0.0, 0.0, 0.0 },
+ { 0.0, 1.0, 1.0, std::sqrt(2.0) },
+ { 1.0, 1.0, 1.0, std::sqrt(3.0) },
+ { 1.0, 2.0, 2.0, 3.0 },
+ { 2.0, 3.0, 6.0, 7.0 },
+ { 1.0, 4.0, 8.0, 9.0 },
+ { 4.0, 4.0, 7.0, 9.0 },
+ { 12.0, 16.0, 21.0, 29.0 },
+ { 1e8, 1., 1e-8, 1e8 },
+ { 1., 1e8, 1e-8, 1e8 },
+ { 1e-8, 1., 1e8, 1e8 },
+ { 1e-2, 1e-4, 1e-4, 0.01000099995 },
+ { 214748364., 214748364., 214748364., 371955077.2902952 }
+};
+const double toler1 = 1e-12;
+
+const testcase_hypot<float> data2[] = {
+ { 0.0f, 0.0f, 0.0f, 0.0f },
+ { 0.0f, 1.0f, 1.0f, std::sqrt(2.0f) },
+ { 1.0f, 1.0f, 1.0f, std::sqrt(3.0f) },
+ { 1.0f, 2.0f, 2.0f, 3.0f },
+ { 2.0f, 3.0f, 6.0f, 7.0f },
+ { 1.0f, 4.0f, 8.0f, 9.0f },
+ { 4.0f, 4.0f, 7.0f, 9.0f },
+ { 12.0f, 16.0f, 21.0f, 29.0f },
+ { 1e8f, 1.f, 1e-8f, 1e8f },
+ { 1.f, 1e8f, 1e-8f, 1e8f },
+ { 1e-8f, 1.f, 1e8f, 1e8f },
+ { 1e-2f, 1e-4f, 1e-4f, 0.010001f },
+ { 214748364.f, 214748364.f, 214748364.f, 371955072.f }
+};
+const float toler2 = 1e-7f;
+
+const testcase_hypot<long double> data3[] = {
+ { 0.0l, 0.0l, 0.0l, 0.0l },
+ { 0.0l, 1.0l, 1.0l, std::sqrt(2.0l) },
+ { 1.0l, 1.0l, 1.0l, std::sqrt(3.0l) },
+ { 1.0l, 2.0l, 2.0l, 3.0l },
+ { 2.0l, 3.0l, 6.0l, 7.0l },
+ { 1.0l, 4.0l, 8.0l, 9.0l },
+ { 4.0l, 4.0l, 7.0l, 9.0l },
+ { 12.0l, 16.0l, 21.0l, 29.0l },
+ { 1e8l, 1.l, 1e-8l, 1e8l },
+ { 1.l, 1e8l, 1e-8l, 1e8l },
+ { 1e-8l, 1.l, 1e8l, 1e8l },
+ { 1e-2l, 1e-4l, 1e-4l, 0.010000999950004999375l },
+ { 2147483647.l, 2147483647.l, 2147483647.l, 3719550785.027307813987l }
+};
+const long double toler3 = 1e-16l;
+
+void
+test01()
+{
+ test(data1, toler1);
+ test(data2, toler2);
+ test(data3, toler3);
+}
+
+int
+main()
+{
+ test01();
+}