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-rw-r--r--libstdc++-v3/ChangeLog10
-rw-r--r--libstdc++-v3/include/std/complex68
-rw-r--r--libstdc++-v3/testsuite/26_numerics/complex/proj.cc387
3 files changed, 440 insertions, 25 deletions
diff --git a/libstdc++-v3/ChangeLog b/libstdc++-v3/ChangeLog
index 9b07684..5a070ff 100644
--- a/libstdc++-v3/ChangeLog
+++ b/libstdc++-v3/ChangeLog
@@ -1,3 +1,13 @@
+2019-05-01 Jonathan Wakely <jwakely@redhat.com>
+
+ PR libstdc++/61761
+ * include/std/complex (__complex_proj): Return parameter unchanged.
+ [_GLIBCXX_USE_C99_COMPLEX] (__complex_proj): Change overloads for
+ floating-point types to take std::complex arguments.
+ [_GLIBCXX_USE_C99_MATH_TR1] (__complex_proj): Add overloads for
+ floating-point types.
+ * testsuite/26_numerics/complex/proj.cc: New test.
+
2019-04-30 Jakub Jelinek <jakub@redhat.com>
* config/abi/pre/gnu.ver (GLIBCXX_3.4.26): Change _Lock_policyE2 exports
diff --git a/libstdc++-v3/include/std/complex b/libstdc++-v3/include/std/complex
index 0a4f68b..45450e8 100644
--- a/libstdc++-v3/include/std/complex
+++ b/libstdc++-v3/include/std/complex
@@ -1898,41 +1898,59 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
template<typename _Tp>
std::complex<_Tp> proj(const std::complex<_Tp>&);
+ // Generic implementation of std::proj, does not work for infinities.
template<typename _Tp>
- std::complex<_Tp>
+ inline std::complex<_Tp>
__complex_proj(const std::complex<_Tp>& __z)
- {
- const _Tp __den = (__z.real() * __z.real()
- + __z.imag() * __z.imag() + _Tp(1.0));
-
- return std::complex<_Tp>((_Tp(2.0) * __z.real()) / __den,
- (_Tp(2.0) * __z.imag()) / __den);
- }
+ { return __z; }
#if _GLIBCXX_USE_C99_COMPLEX
- inline __complex__ float
- __complex_proj(__complex__ float __z)
- { return __builtin_cprojf(__z); }
-
- inline __complex__ double
- __complex_proj(__complex__ double __z)
- { return __builtin_cproj(__z); }
-
- inline __complex__ long double
- __complex_proj(const __complex__ long double& __z)
- { return __builtin_cprojl(__z); }
+ inline complex<float>
+ __complex_proj(const complex<float>& __z)
+ { return __builtin_cprojf(__z.__rep()); }
+
+ inline complex<double>
+ __complex_proj(const complex<double>& __z)
+ { return __builtin_cproj(__z.__rep()); }
+
+ inline complex<long double>
+ __complex_proj(const complex<long double>& __z)
+ { return __builtin_cprojl(__z.__rep()); }
+#elif defined _GLIBCXX_USE_C99_MATH_TR1
+ inline complex<float>
+ __complex_proj(const complex<float>& __z)
+ {
+ if (__builtin_isinf(__z.real()) || __builtin_isinf(__z.imag()))
+ return complex<float>(__builtin_inff(),
+ __builtin_copysignf(0.0f, __z.imag()));
+ return __z;
+ }
+
+ inline complex<double>
+ __complex_proj(const complex<double>& __z)
+ {
+ if (__builtin_isinf(__z.real()) || __builtin_isinf(__z.imag()))
+ return complex<double>(__builtin_inf(),
+ __builtin_copysign(0.0, __z.imag()));
+ return __z;
+ }
+
+ inline complex<long double>
+ __complex_proj(const complex<long double>& __z)
+ {
+ if (__builtin_isinf(__z.real()) || __builtin_isinf(__z.imag()))
+ return complex<long double>(__builtin_infl(),
+ __builtin_copysignl(0.0l, __z.imag()));
+ return __z;
+ }
+#endif
template<typename _Tp>
inline std::complex<_Tp>
proj(const std::complex<_Tp>& __z)
- { return __complex_proj(__z.__rep()); }
-#else
- template<typename _Tp>
- inline std::complex<_Tp>
- proj(const std::complex<_Tp>& __z)
{ return __complex_proj(__z); }
-#endif
+ // Overload for scalars
template<typename _Tp>
inline std::complex<typename __gnu_cxx::__promote<_Tp>::__type>
proj(_Tp __x)
diff --git a/libstdc++-v3/testsuite/26_numerics/complex/proj.cc b/libstdc++-v3/testsuite/26_numerics/complex/proj.cc
new file mode 100644
index 0000000..b70ca4c
--- /dev/null
+++ b/libstdc++-v3/testsuite/26_numerics/complex/proj.cc
@@ -0,0 +1,387 @@
+// Copyright (C) 2019 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 }
+
+#include <complex>
+#include <limits>
+#include <testsuite_hooks.h>
+
+template<typename T>
+bool eq(const std::complex<T>& x, const std::complex<T>& y)
+{
+ bool nan_reals = std::isnan(x.real()) && std::isnan(y.real());
+ bool nan_imags = std::isnan(x.imag()) && std::isnan(y.imag());
+
+ bool sign_reals
+ = std::copysign(T(1), x.real()) == std::copysign(T(1), y.real());
+ bool sign_imags
+ = std::copysign(T(1), x.imag()) == std::copysign(T(1), y.imag());
+
+ return ((x.real() == y.real() && sign_reals) || nan_reals)
+ && ((x.imag() == y.imag() && sign_imags) || nan_imags);
+}
+
+void
+test01()
+{
+ const double qnan = std::numeric_limits<double>::quiet_NaN();
+ const double pinf = std::numeric_limits<double>::infinity();
+ const double ninf = -pinf;
+
+ std::complex<double> c00(0, 0);
+ VERIFY( eq( std::proj(c00) , c00 ) );
+ VERIFY( eq( std::proj(-c00) , -c00 ) );
+ c00.real(-0.0);
+ VERIFY( eq( std::proj(c00) , c00 ) );
+ VERIFY( eq( std::proj(-c00) , -c00 ) );
+
+ const std::complex<double> c01(0, 1);
+ VERIFY( eq( std::proj(c01) , c01 ) );
+ VERIFY( eq( std::proj(-c01) , -c01 ) );
+ c00.real(-0.0);
+ VERIFY( eq( std::proj(c01) , c01 ) );
+ VERIFY( eq( std::proj(-c01) , -c01 ) );
+
+ const std::complex<double> c10(1, 0);
+ VERIFY( eq( std::proj(c10) , c10 ) );
+ VERIFY( eq( std::proj(-c10) , -c10 ) );
+
+ const std::complex<double> c12(1, 2);
+ VERIFY( eq( std::proj(c12) , c12 ) );
+ VERIFY( eq( std::proj(-c12) , -c12 ) );
+
+ const std::complex<double> c0q(0, qnan);
+ VERIFY( eq( std::proj(c0q) , c0q ) );
+ VERIFY( eq( std::proj(-c0q) , -c0q ) );
+
+ const std::complex<double> c1q(1, qnan);
+ VERIFY( eq( std::proj(c1q) , c1q ) );
+ VERIFY( eq( std::proj(-c1q) , -c1q ) );
+
+ const std::complex<double> cq0(qnan, 0);
+ VERIFY( eq( std::proj(cq0) , cq0 ) );
+ VERIFY( eq( std::proj(-cq0) , -cq0 ) );
+
+ const std::complex<double> cq1(qnan, 1);
+ VERIFY( eq( std::proj(cq1) , cq1 ) );
+ VERIFY( eq( std::proj(-cq1) , -cq1 ) );
+
+ const std::complex<double> cqq(qnan, qnan);
+ VERIFY( eq( std::proj(cqq) , cqq ) );
+ VERIFY( eq( std::proj(-cqq) , -cqq ) );
+
+ const std::complex<double> c0p(0, pinf);
+ VERIFY( eq( std::proj(c0p) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-c0p) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> c1p(1, pinf);
+ VERIFY( eq( std::proj(c1p) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-c1p) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cqp(qnan, pinf);
+ VERIFY( eq( std::proj(cqp) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cqp) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cpp(pinf, pinf);
+ VERIFY( eq( std::proj(cpp) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cpp) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> c0n(0, ninf);
+ VERIFY( eq( std::proj(c0n) , std::complex<double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-c0n) , std::complex<double>(pinf, +0.0) ) );
+
+ const std::complex<double> c1n(1, ninf);
+ VERIFY( eq( std::proj(c1n) , std::complex<double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-c1n) , std::complex<double>(pinf, +0.0) ) );
+
+ const std::complex<double> cqn(qnan, ninf);
+ VERIFY( eq( std::proj(cqn) , std::complex<double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cqn) , std::complex<double>(pinf, +0.0) ) );
+
+ const std::complex<double> cpn(pinf, ninf);
+ VERIFY( eq( std::proj(cpn) , std::complex<double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cpn) , std::complex<double>(pinf, +0.0) ) );
+
+ const std::complex<double> cnn(ninf, ninf);
+ VERIFY( eq( std::proj(cnn) , std::complex<double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cnn) , std::complex<double>(pinf, +0.0) ) );
+
+ const std::complex<double> cp0(pinf, 0);
+ VERIFY( eq( std::proj(cp0) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cp0) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cp1(pinf, 1);
+ VERIFY( eq( std::proj(cp1) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cp1) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cpq(pinf, qnan);
+ VERIFY( eq( std::proj(cpq) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cpq) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cn0(ninf, 0);
+ VERIFY( eq( std::proj(cn0) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cn0) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cn1(ninf, 1);
+ VERIFY( eq( std::proj(cn1) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cn1) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cnq(ninf, qnan);
+ VERIFY( eq( std::proj(cnq) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cnq) , std::complex<double>(pinf, -0.0) ) );
+
+ const std::complex<double> cnp(ninf, pinf);
+ VERIFY( eq( std::proj(cnp) , std::complex<double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cnp) , std::complex<double>(pinf, -0.0) ) );
+}
+
+void
+test02()
+{
+ const float qnan = std::numeric_limits<float>::quiet_NaN();
+ const float pinf = std::numeric_limits<float>::infinity();
+ const float ninf = -pinf;
+
+ std::complex<float> c00(0, 0);
+ VERIFY( eq( std::proj(c00) , c00 ) );
+ VERIFY( eq( std::proj(-c00) , -c00 ) );
+ c00.real(-0.0);
+ VERIFY( eq( std::proj(c00) , c00 ) );
+ VERIFY( eq( std::proj(-c00) , -c00 ) );
+
+ const std::complex<float> c01(0, 1);
+ VERIFY( eq( std::proj(c01) , c01 ) );
+ VERIFY( eq( std::proj(-c01) , -c01 ) );
+ c00.real(-0.0);
+ VERIFY( eq( std::proj(c01) , c01 ) );
+ VERIFY( eq( std::proj(-c01) , -c01 ) );
+
+ const std::complex<float> c10(1, 0);
+ VERIFY( eq( std::proj(c10) , c10 ) );
+ VERIFY( eq( std::proj(-c10) , -c10 ) );
+
+ const std::complex<float> c12(1, 2);
+ VERIFY( eq( std::proj(c12) , c12 ) );
+ VERIFY( eq( std::proj(-c12) , -c12 ) );
+
+ const std::complex<float> c0q(0, qnan);
+ VERIFY( eq( std::proj(c0q) , c0q ) );
+ VERIFY( eq( std::proj(-c0q) , -c0q ) );
+
+ const std::complex<float> c1q(1, qnan);
+ VERIFY( eq( std::proj(c1q) , c1q ) );
+ VERIFY( eq( std::proj(-c1q) , -c1q ) );
+
+ const std::complex<float> cq0(qnan, 0);
+ VERIFY( eq( std::proj(cq0) , cq0 ) );
+ VERIFY( eq( std::proj(-cq0) , -cq0 ) );
+
+ const std::complex<float> cq1(qnan, 1);
+ VERIFY( eq( std::proj(cq1) , cq1 ) );
+ VERIFY( eq( std::proj(-cq1) , -cq1 ) );
+
+ const std::complex<float> cqq(qnan, qnan);
+ VERIFY( eq( std::proj(cqq) , cqq ) );
+ VERIFY( eq( std::proj(-cqq) , -cqq ) );
+
+ const std::complex<float> c0p(0, pinf);
+ VERIFY( eq( std::proj(c0p) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-c0p) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> c1p(1, pinf);
+ VERIFY( eq( std::proj(c1p) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-c1p) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cqp(qnan, pinf);
+ VERIFY( eq( std::proj(cqp) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cqp) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cpp(pinf, pinf);
+ VERIFY( eq( std::proj(cpp) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cpp) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> c0n(0, ninf);
+ VERIFY( eq( std::proj(c0n) , std::complex<float>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-c0n) , std::complex<float>(pinf, +0.0) ) );
+
+ const std::complex<float> c1n(1, ninf);
+ VERIFY( eq( std::proj(c1n) , std::complex<float>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-c1n) , std::complex<float>(pinf, +0.0) ) );
+
+ const std::complex<float> cqn(qnan, ninf);
+ VERIFY( eq( std::proj(cqn) , std::complex<float>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cqn) , std::complex<float>(pinf, +0.0) ) );
+
+ const std::complex<float> cpn(pinf, ninf);
+ VERIFY( eq( std::proj(cpn) , std::complex<float>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cpn) , std::complex<float>(pinf, +0.0) ) );
+
+ const std::complex<float> cnn(ninf, ninf);
+ VERIFY( eq( std::proj(cnn) , std::complex<float>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cnn) , std::complex<float>(pinf, +0.0) ) );
+
+ const std::complex<float> cp0(pinf, 0);
+ VERIFY( eq( std::proj(cp0) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cp0) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cp1(pinf, 1);
+ VERIFY( eq( std::proj(cp1) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cp1) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cpq(pinf, qnan);
+ VERIFY( eq( std::proj(cpq) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cpq) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cn0(ninf, 0);
+ VERIFY( eq( std::proj(cn0) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cn0) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cn1(ninf, 1);
+ VERIFY( eq( std::proj(cn1) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cn1) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cnq(ninf, qnan);
+ VERIFY( eq( std::proj(cnq) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cnq) , std::complex<float>(pinf, -0.0) ) );
+
+ const std::complex<float> cnp(ninf, pinf);
+ VERIFY( eq( std::proj(cnp) , std::complex<float>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cnp) , std::complex<float>(pinf, -0.0) ) );
+}
+
+void
+test03()
+{
+ const long double qnan = std::numeric_limits<long double>::quiet_NaN();
+ const long double pinf = std::numeric_limits<long double>::infinity();
+ const long double ninf = -pinf;
+
+ std::complex<long double> c00(0, 0);
+ VERIFY( eq( std::proj(c00) , c00 ) );
+ VERIFY( eq( std::proj(-c00) , -c00 ) );
+ c00.real(-0.0);
+ VERIFY( eq( std::proj(c00) , c00 ) );
+ VERIFY( eq( std::proj(-c00) , -c00 ) );
+
+ const std::complex<long double> c01(0, 1);
+ VERIFY( eq( std::proj(c01) , c01 ) );
+ VERIFY( eq( std::proj(-c01) , -c01 ) );
+ c00.real(-0.0);
+ VERIFY( eq( std::proj(c01) , c01 ) );
+ VERIFY( eq( std::proj(-c01) , -c01 ) );
+
+ const std::complex<long double> c10(1, 0);
+ VERIFY( eq( std::proj(c10) , c10 ) );
+ VERIFY( eq( std::proj(-c10) , -c10 ) );
+
+ const std::complex<long double> c12(1, 2);
+ VERIFY( eq( std::proj(c12) , c12 ) );
+ VERIFY( eq( std::proj(-c12) , -c12 ) );
+
+ const std::complex<long double> c0q(0, qnan);
+ VERIFY( eq( std::proj(c0q) , c0q ) );
+ VERIFY( eq( std::proj(-c0q) , -c0q ) );
+
+ const std::complex<long double> c1q(1, qnan);
+ VERIFY( eq( std::proj(c1q) , c1q ) );
+ VERIFY( eq( std::proj(-c1q) , -c1q ) );
+
+ const std::complex<long double> cq0(qnan, 0);
+ VERIFY( eq( std::proj(cq0) , cq0 ) );
+ VERIFY( eq( std::proj(-cq0) , -cq0 ) );
+
+ const std::complex<long double> cq1(qnan, 1);
+ VERIFY( eq( std::proj(cq1) , cq1 ) );
+ VERIFY( eq( std::proj(-cq1) , -cq1 ) );
+
+ const std::complex<long double> cqq(qnan, qnan);
+ VERIFY( eq( std::proj(cqq) , cqq ) );
+ VERIFY( eq( std::proj(-cqq) , -cqq ) );
+
+ const std::complex<long double> c0p(0, pinf);
+ VERIFY( eq( std::proj(c0p) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-c0p) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> c1p(1, pinf);
+ VERIFY( eq( std::proj(c1p) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-c1p) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cqp(qnan, pinf);
+ VERIFY( eq( std::proj(cqp) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cqp) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cpp(pinf, pinf);
+ VERIFY( eq( std::proj(cpp) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cpp) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> c0n(0, ninf);
+ VERIFY( eq( std::proj(c0n) , std::complex<long double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-c0n) , std::complex<long double>(pinf, +0.0) ) );
+
+ const std::complex<long double> c1n(1, ninf);
+ VERIFY( eq( std::proj(c1n) , std::complex<long double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-c1n) , std::complex<long double>(pinf, +0.0) ) );
+
+ const std::complex<long double> cqn(qnan, ninf);
+ VERIFY( eq( std::proj(cqn) , std::complex<long double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cqn) , std::complex<long double>(pinf, +0.0) ) );
+
+ const std::complex<long double> cpn(pinf, ninf);
+ VERIFY( eq( std::proj(cpn) , std::complex<long double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cpn) , std::complex<long double>(pinf, +0.0) ) );
+
+ const std::complex<long double> cnn(ninf, ninf);
+ VERIFY( eq( std::proj(cnn) , std::complex<long double>(pinf, -0.0) ) );
+ VERIFY( eq( std::proj(-cnn) , std::complex<long double>(pinf, +0.0) ) );
+
+ const std::complex<long double> cp0(pinf, 0);
+ VERIFY( eq( std::proj(cp0) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cp0) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cp1(pinf, 1);
+ VERIFY( eq( std::proj(cp1) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cp1) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cpq(pinf, qnan);
+ VERIFY( eq( std::proj(cpq) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cpq) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cn0(ninf, 0);
+ VERIFY( eq( std::proj(cn0) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cn0) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cn1(ninf, 1);
+ VERIFY( eq( std::proj(cn1) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cn1) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cnq(ninf, qnan);
+ VERIFY( eq( std::proj(cnq) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cnq) , std::complex<long double>(pinf, -0.0) ) );
+
+ const std::complex<long double> cnp(ninf, pinf);
+ VERIFY( eq( std::proj(cnp) , std::complex<long double>(pinf, +0.0) ) );
+ VERIFY( eq( std::proj(-cnp) , std::complex<long double>(pinf, -0.0) ) );
+}
+
+int
+main()
+{
+ test01();
+ test02();
+ test03();
+}