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// Copyright (C) 2016-2022 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-do run { target c++17 } }
#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)
{
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);
if (sizeof(long double) > sizeof(double))
test(data3, toler3);
else
test(data3, (long double)toler1);
}
int
main()
{
test01();
}