这是什么情况？！
代码后面带“(0o0)/”表示错误处
#include<bits/stdc++.h>\(0o0)/
#include<windows.h>
using namespace std;
int main(){
int m=0,h=0;
for(int i=1;;i++){
if(i==60){
i=0;
m++;
}
if(m==60){
m=1;
h++;
}
cout << h << ':' << m << ':' << i;
Sleep(1000);
system("cls");
}
return 0;
}
// Input streams -*- C++ -*-
// Copyright (C) 1997-2014 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.
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.
//
// ISO C++ 14882: 27.6.1 Input streams
//
/** @file include/istream
* This is a Standard C++ Library header.
*/
#ifndef _GLIBCXX_ISTREAM
#define _GLIBCXX_ISTREAM 1
#pragma GCC system_header
#include <ios>
#include <ostream>\(0o0)/
namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
/**
* @brief Template class basic_istream.
* @ingroup io
*
* @tparam _CharT Type of character stream.
* @tparam _Traits Traits for character type, defaults to
* char_traits<_CharT>.
*
* This is the base class for all input streams. It provides text
* formatting of all builtin types, and communicates with any class
* derived from basic_streambuf to do the actual input.
*/
template<typename _CharT, typename _Traits>
class basic_istream : virtual public basic_ios<_CharT, _Traits>
{
public:
// Types (inherited from basic_ios (27.4.4)):
typedef _CharT char_type;
typedef typename _Traits::int_type int_type;
typedef typename _Traits::pos_type pos_type;
typedef typename _Traits::off_type off_type;
typedef _Traits traits_type;
// Non-standard Types:
typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
typedef basic_ios<_CharT, _Traits> __ios_type;
typedef basic_istream<_CharT, _Traits> __istream_type;
typedef num_get<_CharT, istreambuf_iterator<_CharT, _Traits> >
__num_get_type;
typedef ctype<_CharT> __ctype_type;
protected:
// Data Members:
/**
* The number of characters extracted in the previous unformatted
* function; see gcount().
*/
streamsize _M_gcount;
public:
/**
* @brief Base constructor.
*
* This ctor is almost never called by the user directly, rather from
* derived classes' initialization lists, which pass a pointer to
* their own stream buffer.
*/
explicit
basic_istream(__streambuf_type* __sb)
: _M_gcount(streamsize(0))
{ this->init(__sb); }
/**
* @brief Base destructor.
*
* This does very little apart from providing a virtual base dtor.
*/
virtual
~basic_istream()
{ _M_gcount = streamsize(0); }
/// Safe prefix/suffix operations.
class sentry;
friend class sentry;
//@{
/**
* @brief Interface for manipulators.
*
* Manipulators such as @c std::ws and @c std::dec use these
* functions in constructs like
* <code>std::cin >> std::ws</code>.
* For more information, see the iomanip header.
*/
__istream_type&
operator>>(__istream_type& (*__pf)(__istream_type&))
{ return __pf(*this); }
__istream_type&
operator>>(__ios_type& (*__pf)(__ios_type&))
{
__pf(*this);
return *this;
}
__istream_type&
operator>>(ios_base& (*__pf)(ios_base&))
{
__pf(*this);
return *this;
}
//@}
//@{
/**
* @name Extractors
*
* All the @c operator>> functions (aka <em>formatted input
* functions</em>) have some common behavior. Each starts by
* constructing a temporary object of type std::basic_istream::sentry
* with the second argument (noskipws) set to false. This has several
* effects, concluding with the setting of a status flag; see the
* sentry documentation for more.
*
* If the sentry status is good, the function tries to extract
* whatever data is appropriate for the type of the argument.
*
* If an exception is thrown during extraction, ios_base::badbit
* will be turned on in the stream's error state without causing an
* ios_base::failure to be thrown. The original exception will then
* be rethrown.
*/
//@{
/**
* @brief Integer arithmetic extractors
* @param __n A variable of builtin integral type.
* @return @c *this if successful
*
* These functions use the stream's current locale (specifically, the
* @c num_get facet) to parse the input data.
*/
__istream_type&
operator>>(bool& __n)
{ return _M_extract(__n); }
__istream_type&
operator>>(short& __n);
__istream_type&
operator>>(unsigned short& __n)
{ return _M_extract(__n); }
__istream_type&
operator>>(int& __n);
__istream_type&
operator>>(unsigned int& __n)
{ return _M_extract(__n); }
__istream_type&
operator>>(long& __n)
{ return _M_extract(__n); }
__istream_type&
operator>>(unsigned long& __n)
{ return _M_extract(__n); }
#ifdef _GLIBCXX_USE_LONG_LONG
__istream_type&
operator>>(long long& __n)
{ return _M_extract(__n); }
__istream_type&
operator>>(unsigned long long& __n)
{ return _M_extract(__n); }
#endif
//@}
//@{
/**
* @brief Floating point arithmetic extractors
* @param __f A variable of builtin floating point type.
* @return @c *this if successful
*
* These functions use the stream's current locale (specifically, the
* @c num_get facet) to parse the input data.
*/
__istream_type&
operator>>(float& __f)
{ return _M_extract(__f); }
__istream_type&
operator>>(double& __f)
{ return _M_extract(__f); }
__istream_type&
operator>>(long double& __f)
{ return _M_extract(__f); }
//@}
/**
* @brief Basic arithmetic extractors
* @param __p A variable of pointer type.
* @return @c *this if successful
*
* These functions use the stream's current locale (specifically, the
* @c num_get facet) to parse the input data.
*/
__istream_type&
operator>>(void*& __p)
{ return _M_extract(__p); }
/**
* @brief Extracting into another streambuf.
* @param __sb A pointer to a streambuf
*
* This function behaves like one of the basic arithmetic extractors,
* in that it also constructs a sentry object and has the same error
* handling behavior.
*
* If @p __sb is NULL, the stream will set failbit in its error state.
*
* Characters are extracted from this stream and inserted into the
* @p __sb streambuf until one of the following occurs:
*
* - the input stream reaches end-of-file,
* - insertion into the output buffer fails (in this case, the
* character that would have been inserted is not extracted), or
* - an exception occurs (and in this case is caught)
*
* If the function inserts no characters, failbit is set.
*/
__istream_type&
operator>>(__streambuf_type* __sb);
//@}
// [27.6.1.3] unformatted input
/**
* @brief Character counting
* @return The number of characters extracted by the previous
* unformatted input function dispatched for this stream.
*/
streamsize
gcount() const
{ return _M_gcount; }
//@{
/**
* @name Unformatted Input Functions
*
* All the unformatted input functions have some common behavior.
* Each starts by constructing a temporary object of type
* std::basic_istream::sentry with the second argument (noskipws)
* set to true. This has several effects, concluding with the
* setting of a status flag; see the sentry documentation for more.
*
* If the sentry status is good, the function tries to extract
* whatever data is appropriate for the type of the argument.
*
* The number of characters extracted is stored for later retrieval
* by gcount().
*
* If an exception is thrown during extraction, ios_base::badbit
* will be turned on in the stream's error state without causing an
* ios_base::failure to be thrown. The original exception will then
* be rethrown.
*/
/**
* @brief Simple extraction.
* @return A character, or eof().
*
* Tries to extract a character. If none are available, sets failbit
* and returns traits::eof().
*/
int_type
get();
/**
* @brief Simple extraction.
* @param __c The character in which to store data.
* @return *this
*
* Tries to extract a character and store it in @a __c. If none are
* available, sets failbit and returns traits::eof().
*
* @note This function is not overloaded on signed char and
* unsigned char.
*/
__istream_type&
get(char_type& __c);
/**
* @brief Simple multiple-character extraction.
* @param __s Pointer to an array.
* @param __n Maximum number of characters to store in @a __s.
* @param __delim A "stop" character.
* @return *this
*
* Characters are extracted and stored into @a __s until one of the
* following happens:
*
* - @c __n-1 characters are stored
* - the input sequence reaches EOF
* - the next character equals @a __delim, in which case the character
* is not extracted
*
* If no characters are stored, failbit is set in the stream's error
* state.
*
* In any case, a null character is stored into the next location in
* the array.
*
* @note This function is not overloaded on signed char and
* unsigned char.
*/
__istream_type&
get(char_type* __s, streamsize __n, char_type __delim);
/**
* @brief Simple multiple-character extraction.
* @param __s Pointer to an array.
* @param __n Maximum number of characters to store in @a s.
* @return *this
*
* Returns @c get(__s,__n,widen('\\n')).
*/
__istream_type&
get(char_type* __s, streamsize __n)
{ return this->get(__s, __n, this->widen('\n')); }
/**
* @brief Extraction into another streambuf.
* @param __sb A streambuf in which to store data.
* @param __delim A "stop" character.
* @return *this
*
* Characters are extracted and inserted into @a __sb until one of the
* following happens:
*
* - the input sequence reaches EOF
* - insertion into the output buffer fails (in this case, the
* character that would have been inserted is not extracted)
* - the next character equals @a __delim (in this case, the character
* is not extracted)
* - an exception occurs (and in this case is caught)
*
* If no characters are stored, failbit is set in the stream's error
* state.
*/
__istream_type&
get(__streambuf_type& __sb, char_type __delim);
/**
* @brief Extraction into another streambuf.
* @param __sb A streambuf in which to store data.
* @return *this
*
* Returns @c get(__sb,widen('\\n')).
*/
__istream_type&
get(__streambuf_type& __sb)
{ return this->get(__sb, this->widen('\n')); }
/**
* @brief String extraction.
* @param __s A character array in which to store the data.
* @param __n Maximum number of characters to extract.
* @param __delim A "stop" character.
* @return *this
*
* Extracts and stores characters into @a __s until one of the
* following happens. Note that these criteria are required to be
* tested in the order listed here, to allow an input line to exactly
* fill the @a __s array without setting failbit.
*
* -# the input sequence reaches end-of-file, in which case eofbit
* is set in the stream error state
* -# the next character equals @c __delim, in which case the character
* is extracted (and therefore counted in @c gcount()) but not stored
* -# @c __n-1 characters are stored, in which case failbit is set
* in the stream error state
*
* If no characters are extracted, failbit is set. (An empty line of
* input should therefore not cause failbit to be set.)
*
* In any case, a null character is stored in the next location in
* the array.
*/
__istream_type&
getline(char_type* __s, streamsize __n, char_type __delim);
/**
* @brief String extraction.
* @param __s A character array in which to store the data.
* @param __n Maximum number of characters to extract.
* @return *this
*
* Returns @c getline(__s,__n,widen('\\n')).
*/
__istream_type&
getline(char_type* __s, streamsize __n)
{ return this->getline(__s, __n, this->widen('\n')); }
/**
* @brief Discarding characters
* @param __n Number of characters to discard.
* @param __delim A "stop" character.
* @return *this
*
* Extracts characters and throws them away until one of the
* following happens:
* - if @a __n @c != @c std::numeric_limits<int>::max(), @a __n
* characters are extracted
* - the input sequence reaches end-of-file
* - the next character equals @a __delim (in this case, the character
* is extracted); note that this condition will never occur if
* @a __delim equals @c traits::eof().
*
* NB: Provide three overloads, instead of the single function
* (with defaults) mandated by the Standard: this leads to a
* better performing implementation, while still conforming to
* the Standard.
*/
__istream_type&
ignore(streamsize __n, int_type __delim);
__istream_type&
ignore(streamsize __n);
__istream_type&
ignore();
/**
* @brief Looking ahead in the stream
* @return The next character, or eof().
*
* If, after constructing the sentry object, @c good() is false,
* returns @c traits::eof(). Otherwise reads but does not extract
* the next input character.
*/
int_type
peek();
/**
* @brief Extraction without delimiters.
* @param __s A character array.
* @param __n Maximum number of characters to store.
* @return *this
*
* If the stream state is @c good(), extracts characters and stores
* them into @a __s until one of the following happens:
* - @a __n characters are stored
* - the input sequence reaches end-of-file, in which case the error
* state is set to @c failbit|eofbit.
*
* @note This function is not overloaded on signed char and
* unsigned char.
*/
__istream_type&
read(char_type* __s, streamsize __n);
/**
* @brief Extraction until the buffer is exhausted, but no more.
* @param __s A character array.
* @param __n Maximum number of characters to store.
* @return The number of characters extracted.
*
* Extracts characters and stores them into @a __s depending on the
* number of characters remaining in the streambuf's buffer,
* @c rdbuf()->in_avail(), called @c A here:
* - if @c A @c == @c -1, sets eofbit and extracts no characters
* - if @c A @c == @c 0, extracts no characters
* - if @c A @c > @c 0, extracts @c min(A,n)
*
* The goal is to empty the current buffer, and to not request any
* more from the external input sequence controlled by the streambuf.
*/
streamsize
readsome(char_type* __s, streamsize __n);
/**
* @brief Unextracting a single character.
* @param __c The character to push back into the input stream.
* @return *this
*
* If @c rdbuf() is not null, calls @c rdbuf()->sputbackc(c).
*
* If @c rdbuf() is null or if @c sputbackc() fails, sets badbit in
* the error state.
*
* @note This function first clears eofbit. Since no characters
* are extracted, the next call to @c gcount() will return 0,
* as required by DR 60.
*/
__istream_type&
putback(char_type __c);
/**
* @brief Unextracting the previous character.
* @return *this
*
* If @c rdbuf() is not null, calls @c rdbuf()->sungetc(c).
*
* If @c rdbuf() is null or if @c sungetc() fails, sets badbit in
* the error state.
*
* @note This function first clears eofbit. Since no characters
* are extracted, the next call to @c gcount() will return 0,
* as required by DR 60.
*/
__istream_type&
unget();
/**
* @brief Synchronizing the stream buffer.
* @return 0 on success, -1 on failure
*
* If @c rdbuf() is a null pointer, returns -1.
*
* Otherwise, calls @c rdbuf()->pubsync(), and if that returns -1,
* sets badbit and returns -1.
*
* Otherwise, returns 0.
*
* @note This function does not count the number of characters
* extracted, if any, and therefore does not affect the next
* call to @c gcount().
*/
int
sync();
/**
* @brief Getting the current read position.
* @return A file position object.
*
* If @c fail() is not false, returns @c pos_type(-1) to indicate
* failure. Otherwise returns @c rdbuf()->pubseekoff(0,cur,in).
*
* @note This function does not count the number of characters
* extracted, if any, and therefore does not affect the next
* call to @c gcount(). At variance with putback, unget and
* seekg, eofbit is not cleared first.
*/
pos_type
tellg();
/**
* @brief Changing the current read position.
* @param __pos A file position object.
* @return *this
*
* If @c fail() is not true, calls @c rdbuf()->pubseekpos(__pos). If
* that function fails, sets failbit.
*
* @note This function first clears eofbit. It does not count the
* number of characters extracted, if any, and therefore does
* not affect the next call to @c gcount().
*/
__istream_type&
seekg(pos_type);
/**
* @brief Changing the current read position.
* @param __off A file offset object.
* @param __dir The direction in which to seek.
* @return *this
*
* If @c fail() is not true, calls @c rdbuf()->pubseekoff(__off,__dir).
* If that function fails, sets failbit.
*
* @note This function first clears eofbit. It does not count the
* number of characters extracted, if any, and therefore does
* not affect the next call to @c gcount().
*/
__istream_type&
seekg(off_type, ios_base::seekdir);
//@}
protected:
basic_istream()
: _M_gcount(streamsize(0))
{ this->init(0); }
template<typename _ValueT>
__istream_type&
_M_extract(_ValueT& __v);
};
/// Explicit specialization declarations, defined in src/istream.cc.
template<>
basic_istream<char>&
basic_istream<char>::
getline(char_type* __s, streamsize __n, char_type __delim);
template<>
basic_istream<char>&
basic_istream<char>::
ignore(streamsize __n);
template<>
basic_istream<char>&
basic_istream<char>::
ignore(streamsize __n, int_type __delim);
#ifdef _GLIBCXX_USE_WCHAR_T
template<>
basic_istream<wchar_t>&
basic_istream<wchar_t>::
getline(char_type* __s, streamsize __n, char_type __delim);
template<>
basic_istream<wchar_t>&
basic_istream<wchar_t>::
ignore(streamsize __n);
template<>
basic_istream<wchar_t>&
basic_istream<wchar_t>::
ignore(streamsize __n, int_type __delim);
#endif
/**
* @brief Performs setup work for input streams.
*
* Objects of this class are created before all of the standard
* extractors are run. It is responsible for <em>exception-safe
* prefix and suffix operations,</em> although only prefix actions
* are currently required by the standard.
*/
template<typename _CharT, typename _Traits>
class basic_istream<_CharT, _Traits>::sentry
{
// Data Members.
bool _M_ok;
public:
/// Easy access to dependent types.
typedef _Traits traits_type;
typedef basic_streambuf<_CharT, _Traits> __streambuf_type;
typedef basic_istream<_CharT, _Traits> __istream_type;
typedef typename __istream_type::__ctype_type __ctype_type;
typedef typename _Traits::int_type __int_type;
/**
* @brief The constructor performs all the work.
* @param __is The input stream to guard.
* @param __noskipws Whether to consume whitespace or not.
*
* If the stream state is good (@a __is.good() is true), then the
* following actions are performed, otherwise the sentry state
* is false (<em>not okay</em>) and failbit is set in the
* stream state.
*
* The sentry's preparatory actions are:
*
* -# if the stream is tied to an output stream, @c is.tie()->flush()
* is called to synchronize the output sequence
* -# if @a __noskipws is false, and @c ios_base::skipws is set in
* @c is.flags(), the sentry extracts and discards whitespace
* characters from the stream. The currently imbued locale is
* used to determine whether each character is whitespace.
*
* If the stream state is still good, then the sentry state becomes
* true (@a okay).
*/
explicit
sentry(basic_istream<_CharT, _Traits>& __is, bool __noskipws = false);
/**
* @brief Quick status checking.
* @return The sentry state.
*
* For ease of use, sentries may be converted to booleans. The
* return value is that of the sentry state (true == okay).
*/
#if __cplusplus >= 201103L
explicit
#endif
operator bool() const
{ return _M_ok; }
};
//@{
/**
* @brief Character extractors
* @param __in An input stream.
* @param __c A character reference.
* @return in
*
* Behaves like one of the formatted arithmetic extractors described in
* std::basic_istream. After constructing a sentry object with good
* status, this function extracts a character (if one is available) and
* stores it in @a __c. Otherwise, sets failbit in the input stream.
*/
template<typename _CharT, typename _Traits>
basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __in, _CharT& __c);
template<class _Traits>
inline basic_istream<char, _Traits>&
operator>>(basic_istream<char, _Traits>& __in, unsigned char& __c)
{ return (__in >> reinterpret_cast<char&>(__c)); }
template<class _Traits>
inline basic_istream<char, _Traits>&
operator>>(basic_istream<char, _Traits>& __in, signed char& __c)
{ return (__in >> reinterpret_cast<char&>(__c)); }
//@}
//@{
/**
* @brief Character string extractors
* @param __in An input stream.
* @param __s A pointer to a character array.
* @return __in
*
* Behaves like one of the formatted arithmetic extractors described in
* std::basic_istream. After constructing a sentry object with good
* status, this function extracts up to @c n characters and stores them
* into the array starting at @a __s. @c n is defined as:
*
* - if @c width() is greater than zero, @c n is width() otherwise
* - @c n is <em>the number of elements of the largest array of *
* - @c char_type that can store a terminating @c eos.</em>
* - [27.6.1.2.3]/6
*
* Characters are extracted and stored until one of the following happens:
* - @c n-1 characters are stored
* - EOF is reached
* - the next character is whitespace according to the current locale
* - the next character is a null byte (i.e., @c charT() )
*
* @c width(0) is then called for the input stream.
*
* If no characters are extracted, sets failbit.
*/
template<typename _CharT, typename _Traits>
basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __in, _CharT* __s);
// Explicit specialization declaration, defined in src/istream.cc.
template<>
basic_istream<char>&
operator>>(basic_istream<char>& __in, char* __s);
template<class _Traits>
inline basic_istream<char, _Traits>&
operator>>(basic_istream<char, _Traits>& __in, unsigned char* __s)
{ return (__in >> reinterpret_cast<char*>(__s)); }
template<class _Traits>
inline basic_istream<char, _Traits>&
operator>>(basic_istream<char, _Traits>& __in, signed char* __s)
{ return (__in >> reinterpret_cast<char*>(__s)); }
//@}
/**
* @brief Template class basic_iostream
* @ingroup io
*
* @tparam _CharT Type of character stream.
* @tparam _Traits Traits for character type, defaults to
* char_traits<_CharT>.
*
* This class multiply inherits from the input and output stream classes
* simply to provide a single interface.
*/
template<typename _CharT, typename _Traits>
class basic_iostream
: public basic_istream<_CharT, _Traits>,
public basic_ostream<_CharT, _Traits>
{
public:
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// 271. basic_iostream missing typedefs
// Types (inherited):
typedef _CharT char_type;
typedef typename _Traits::int_type int_type;
typedef typename _Traits::pos_type pos_type;
typedef typename _Traits::off_type off_type;
typedef _Traits traits_type;
// Non-standard Types:
typedef basic_istream<_CharT, _Traits> __istream_type;
typedef basic_ostream<_CharT, _Traits> __ostream_type;
/**
* @brief Constructor does nothing.
*
* Both of the parent classes are initialized with the same
* streambuf pointer passed to this constructor.
*/
explicit
basic_iostream(basic_streambuf<_CharT, _Traits>* __sb)
: __istream_type(__sb), __ostream_type(__sb) { }
/**
* @brief Destructor does nothing.
*/
virtual
~basic_iostream() { }
protected:
basic_iostream()
: __istream_type(), __ostream_type() { }
};
/**
* @brief Quick and easy way to eat whitespace
*
* This manipulator extracts whitespace characters, stopping when the
* next character is non-whitespace, or when the input sequence is empty.
* If the sequence is empty, @c eofbit is set in the stream, but not
* @c failbit.
*
* The current locale is used to distinguish whitespace characters.
*
* Example:
* @code
* MyClass mc;
*
* std::cin >> std::ws >> mc;
* @endcode
* will skip leading whitespace before calling operator>> on cin and your
* object. Note that the same effect can be achieved by creating a
* std::basic_istream::sentry inside your definition of operator>>.
*/
template<typename _CharT, typename _Traits>
basic_istream<_CharT, _Traits>&
ws(basic_istream<_CharT, _Traits>& __is);
#if __cplusplus >= 201103L
// [27.7.1.6] Rvalue stream extraction
/**
* @brief Generic extractor for rvalue stream
* @param __is An input stream.
* @param __x A reference to the extraction target.
* @return is
*
* This is just a forwarding function to allow extraction from
* rvalue streams since they won't bind to the extractor functions
* that take an lvalue reference.
*/
template<typename _CharT, typename _Traits, typename _Tp>
inline basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>&& __is, _Tp& __x)
{ return (__is >> __x); }
#endif // C++11
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace
#include <bits/istream.tcc>
#endif /* _GLIBCXX_ISTREAM */
// C++ includes used for precompiling -*- C++ -*-
// Copyright (C) 2003-2014 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.
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.
/** @file stdc++.h
* This is an implementation file for a precompiled header.
*/
// 17.4.1.2 Headers
// C
#ifndef _GLIBCXX_NO_ASSERT
#include <cassert>
#endif
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#if __cplusplus >= 201103L
#include <ccomplex>\(0o0)/
#include <cfenv>
#include <cinttypes>
#include <cstdalign>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#endif
// C++
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#if __cplusplus >= 201103L
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#endif
// <ccomplex> -*- C++ -*-
// Copyright (C) 2007-2014 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.
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.
/** @file include/ccomplex
* This is a Standard C++ Library header.
*/
#pragma GCC system_header
#ifndef _GLIBCXX_CCOMPLEX
#define _GLIBCXX_CCOMPLEX 1
#if __cplusplus < 201103L
# include <bits/c++0x_warning.h>
#endif
#include <complex>\(0o0)/
#endif
// The template and inlines for the -*- C++ -*- complex number classes.
// Copyright (C) 1997-2014 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.
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
// <http://www.gnu.org/licenses/>.
/** @file include/complex
* This is a Standard C++ Library header.
*/
//
// ISO C++ 14882: 26.2 Complex Numbers
// Note: this is not a conforming implementation.
// Initially implemented by Ulrich Drepper <drepper@cygnus.com>
// Improved by Gabriel Dos Reis <dosreis@cmla.ens-cachan.fr>
//
#ifndef _GLIBCXX_COMPLEX
#define _GLIBCXX_COMPLEX 1
#pragma GCC system_header
#include <bits/c++config.h>
#include <bits/cpp_type_traits.h>
#include <ext/type_traits.h>
#include <cmath>
#include <sstream>\(0o0)/
// Get rid of a macro possibly defined in <complex.h>
#undef complex
namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
/**
* @defgroup complex_numbers Complex Numbers
* @ingroup numerics
*
* Classes and functions for complex numbers.
* @{
*/
// Forward declarations.
template<typename _Tp> class complex;
template<> class complex<float>;
template<> class complex<double>;
template<> class complex<long double>;
/// Return magnitude of @a z.
template<typename _Tp> _Tp abs(const complex<_Tp>&);
/// Return phase angle of @a z.
template<typename _Tp> _Tp arg(const complex<_Tp>&);
/// Return @a z magnitude squared.
template<typename _Tp> _Tp norm(const complex<_Tp>&);
/// Return complex conjugate of @a z.
template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&);
/// Return complex with magnitude @a rho and angle @a theta.
template<typename _Tp> complex<_Tp> polar(const _Tp&, const _Tp& = 0);
// Transcendentals:
/// Return complex cosine of @a z.
template<typename _Tp> complex<_Tp> cos(const complex<_Tp>&);
/// Return complex hyperbolic cosine of @a z.
template<typename _Tp> complex<_Tp> cosh(const complex<_Tp>&);
/// Return complex base e exponential of @a z.
template<typename _Tp> complex<_Tp> exp(const complex<_Tp>&);
/// Return complex natural logarithm of @a z.
template<typename _Tp> complex<_Tp> log(const complex<_Tp>&);
/// Return complex base 10 logarithm of @a z.
template<typename _Tp> complex<_Tp> log10(const complex<_Tp>&);
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, int);
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&, const _Tp&);
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const complex<_Tp>&,
const complex<_Tp>&);
/// Return @a x to the @a y'th power.
template<typename _Tp> complex<_Tp> pow(const _Tp&, const complex<_Tp>&);
/// Return complex sine of @a z.
template<typename _Tp> complex<_Tp> sin(const complex<_Tp>&);
/// Return complex hyperbolic sine of @a z.
template<typename _Tp> complex<_Tp> sinh(const complex<_Tp>&);
/// Return complex square root of @a z.
template<typename _Tp> complex<_Tp> sqrt(const complex<_Tp>&);
/// Return complex tangent of @a z.
template<typename _Tp> complex<_Tp> tan(const complex<_Tp>&);
/// Return complex hyperbolic tangent of @a z.
template<typename _Tp> complex<_Tp> tanh(const complex<_Tp>&);
// 26.2.2 Primary template class complex
/**
* Template to represent complex numbers.
*
* Specializations for float, double, and long double are part of the
* library. Results with any other type are not guaranteed.
*
* @param Tp Type of real and imaginary values.
*/
template<typename _Tp>
struct complex
{
/// Value typedef.
typedef _Tp value_type;
/// Default constructor. First parameter is x, second parameter is y.
/// Unspecified parameters default to 0.
_GLIBCXX_CONSTEXPR complex(const _Tp& __r = _Tp(), const _Tp& __i = _Tp())
: _M_real(__r), _M_imag(__i) { }
// Lets the compiler synthesize the copy constructor
// complex (const complex<_Tp>&);
/// Copy constructor.
template<typename _Up>
_GLIBCXX_CONSTEXPR complex(const complex<_Up>& __z)
: _M_real(__z.real()), _M_imag(__z.imag()) { }
#if __cplusplus >= 201103L
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
_GLIBCXX_ABI_TAG_CXX11
constexpr _Tp
real() { return _M_real; }
_GLIBCXX_ABI_TAG_CXX11
constexpr _Tp
imag() { return _M_imag; }
#else
/// Return real part of complex number.
_Tp&
real() { return _M_real; }
/// Return real part of complex number.
const _Tp&
real() const { return _M_real; }
/// Return imaginary part of complex number.
_Tp&
imag() { return _M_imag; }
/// Return imaginary part of complex number.
const _Tp&
imag() const { return _M_imag; }
#endif
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
void
real(_Tp __val) { _M_real = __val; }
void
imag(_Tp __val) { _M_imag = __val; }
/// Assign this complex number to scalar @a t.
complex<_Tp>& operator=(const _Tp&);
/// Add @a t to this complex number.
// 26.2.5/1
complex<_Tp>&
operator+=(const _Tp& __t)
{
_M_real += __t;
return *this;
}
/// Subtract @a t from this complex number.
// 26.2.5/3
complex<_Tp>&
operator-=(const _Tp& __t)
{
_M_real -= __t;
return *this;
}
/// Multiply this complex number by @a t.
complex<_Tp>& operator*=(const _Tp&);
/// Divide this complex number by @a t.
complex<_Tp>& operator/=(const _Tp&);
// Lets the compiler synthesize the
// copy and assignment operator
// complex<_Tp>& operator= (const complex<_Tp>&);
/// Assign this complex number to complex @a z.
template<typename _Up>
complex<_Tp>& operator=(const complex<_Up>&);
/// Add @a z to this complex number.
template<typename _Up>
complex<_Tp>& operator+=(const complex<_Up>&);
/// Subtract @a z from this complex number.
template<typename _Up>
complex<_Tp>& operator-=(const complex<_Up>&);
/// Multiply this complex number by @a z.
template<typename _Up>
complex<_Tp>& operator*=(const complex<_Up>&);
/// Divide this complex number by @a z.
template<typename _Up>
complex<_Tp>& operator/=(const complex<_Up>&);
_GLIBCXX_USE_CONSTEXPR complex __rep() const
{ return *this; }
private:
_Tp _M_real;
_Tp _M_imag;
};
template<typename _Tp>
complex<_Tp>&
complex<_Tp>::operator=(const _Tp& __t)
{
_M_real = __t;
_M_imag = _Tp();
return *this;
}
// 26.2.5/5
template<typename _Tp>
complex<_Tp>&
complex<_Tp>::operator*=(const _Tp& __t)
{
_M_real *= __t;
_M_imag *= __t;
return *this;
}
// 26.2.5/7
template<typename _Tp>
complex<_Tp>&
complex<_Tp>::operator/=(const _Tp& __t)
{
_M_real /= __t;
_M_imag /= __t;
return *this;
}
template<typename _Tp>
template<typename _Up>
complex<_Tp>&
complex<_Tp>::operator=(const complex<_Up>& __z)
{
_M_real = __z.real();
_M_imag = __z.imag();
return *this;
}
// 26.2.5/9
template<typename _Tp>
template<typename _Up>
complex<_Tp>&
complex<_Tp>::operator+=(const complex<_Up>& __z)
{
_M_real += __z.real();
_M_imag += __z.imag();
return *this;
}
// 26.2.5/11
template<typename _Tp>
template<typename _Up>
complex<_Tp>&
complex<_Tp>::operator-=(const complex<_Up>& __z)
{
_M_real -= __z.real();
_M_imag -= __z.imag();
return *this;
}
// 26.2.5/13
// XXX: This is a grammar school implementation.
template<typename _Tp>
template<typename _Up>
complex<_Tp>&
complex<_Tp>::operator*=(const complex<_Up>& __z)
{
const _Tp __r = _M_real * __z.real() - _M_imag * __z.imag();
_M_imag = _M_real * __z.imag() + _M_imag * __z.real();
_M_real = __r;
return *this;
}
// 26.2.5/15
// XXX: This is a grammar school implementation.
template<typename _Tp>
template<typename _Up>
complex<_Tp>&
complex<_Tp>::operator/=(const complex<_Up>& __z)
{
const _Tp __r = _M_real * __z.real() + _M_imag * __z.imag();
const _Tp __n = std::norm(__z);
_M_imag = (_M_imag * __z.real() - _M_real * __z.imag()) / __n;
_M_real = __r / __n;
return *this;
}
// Operators:
//@{
/// Return new complex value @a x plus @a y.
template<typename _Tp>
inline complex<_Tp>
operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __x;
__r += __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator+(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __r = __x;
__r += __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator+(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __y;
__r += __x;
return __r;
}
//@}
//@{
/// Return new complex value @a x minus @a y.
template<typename _Tp>
inline complex<_Tp>
operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __x;
__r -= __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator-(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __r = __x;
__r -= __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator-(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r(__x, -__y.imag());
__r -= __y.real();
return __r;
}
//@}
//@{
/// Return new complex value @a x times @a y.
template<typename _Tp>
inline complex<_Tp>
operator*(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __x;
__r *= __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator*(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __r = __x;
__r *= __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator*(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __y;
__r *= __x;
return __r;
}
//@}
//@{
/// Return new complex value @a x divided by @a y.
template<typename _Tp>
inline complex<_Tp>
operator/(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __x;
__r /= __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator/(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __r = __x;
__r /= __y;
return __r;
}
template<typename _Tp>
inline complex<_Tp>
operator/(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __r = __x;
__r /= __y;
return __r;
}
//@}
/// Return @a x.
template<typename _Tp>
inline complex<_Tp>
operator+(const complex<_Tp>& __x)
{ return __x; }
/// Return complex negation of @a x.
template<typename _Tp>
inline complex<_Tp>
operator-(const complex<_Tp>& __x)
{ return complex<_Tp>(-__x.real(), -__x.imag()); }
//@{
/// Return true if @a x is equal to @a y.
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR bool
operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __x.real() == __y.real() && __x.imag() == __y.imag(); }
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR bool
operator==(const complex<_Tp>& __x, const _Tp& __y)
{ return __x.real() == __y && __x.imag() == _Tp(); }
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR bool
operator==(const _Tp& __x, const complex<_Tp>& __y)
{ return __x == __y.real() && _Tp() == __y.imag(); }
//@}
//@{
/// Return false if @a x is equal to @a y.
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR bool
operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __x.real() != __y.real() || __x.imag() != __y.imag(); }
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR bool
operator!=(const complex<_Tp>& __x, const _Tp& __y)
{ return __x.real() != __y || __x.imag() != _Tp(); }
template<typename _Tp>
inline _GLIBCXX_CONSTEXPR bool
operator!=(const _Tp& __x, const complex<_Tp>& __y)
{ return __x != __y.real() || _Tp() != __y.imag(); }
//@}
/// Extraction operator for complex values.
template<typename _Tp, typename _CharT, class _Traits>
basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
{
_Tp __re_x, __im_x;
_CharT __ch;
__is >> __ch;
if (__ch == '(')
{
__is >> __re_x >> __ch;
if (__ch == ',')
{
__is >> __im_x >> __ch;
if (__ch == ')')
__x = complex<_Tp>(__re_x, __im_x);
else
__is.setstate(ios_base::failbit);
}
else if (__ch == ')')
__x = __re_x;
else
__is.setstate(ios_base::failbit);
}
else
{
__is.putback(__ch);
__is >> __re_x;
__x = __re_x;
}
return __is;
}
/// Insertion operator for complex values.
template<typename _Tp, typename _CharT, class _Traits>
basic_ostream<_CharT, _Traits>&
operator<<(basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x)
{
basic_ostringstream<_CharT, _Traits> __s;
__s.flags(__os.flags());
__s.imbue(__os.getloc());
__s.precision(__os.precision());
__s << '(' << __x.real() << ',' << __x.imag() << ')';
return __os << __s.str();
}
// Values
#if __cplusplus >= 201103L
template<typename _Tp>
constexpr _Tp
real(const complex<_Tp>& __z)
{ return __z.real(); }
template<typename _Tp>
constexpr _Tp
imag(const complex<_Tp>& __z)
{ return __z.imag(); }
#else
template<typename _Tp>
inline _Tp&
real(complex<_Tp>& __z)
{ return __z.real(); }
template<typename _Tp>
inline const _Tp&
real(const complex<_Tp>& __z)
{ return __z.real(); }
template<typename _Tp>
inline _Tp&
imag(complex<_Tp>& __z)
{ return __z.imag(); }
template<typename _Tp>
inline const _Tp&
imag(const complex<_Tp>& __z)
{ return __z.imag(); }
#endif
// 26.2.7/3 abs(__z): Returns the magnitude of __z.
template<typename _Tp>
inline _Tp
__complex_abs(const complex<_Tp>& __z)
{
_Tp __x = __z.real();
_Tp __y = __z.imag();
const _Tp __s = std::max(abs(__x), abs(__y));
if (__s == _Tp()) // well ...
return __s;
__x /= __s;
__y /= __s;
return __s * sqrt(__x * __x + __y * __y);
}
#if _GLIBCXX_USE_C99_COMPLEX
inline float
__complex_abs(__complex__ float __z) { return __builtin_cabsf(__z); }
inline double
__complex_abs(__complex__ double __z) { return __builtin_cabs(__z); }
inline long double
__complex_abs(const __complex__ long double& __z)
{ return __builtin_cabsl(__z); }
template<typename _Tp>
inline _Tp
abs(const complex<_Tp>& __z) { return __complex_abs(__z.__rep()); }
#else
template<typename _Tp>
inline _Tp
abs(const complex<_Tp>& __z) { return __complex_abs(__z); }
#endif
// 26.2.7/4: arg(__z): Returns the phase angle of __z.
template<typename _Tp>
inline _Tp
__complex_arg(const complex<_Tp>& __z)
{ return atan2(__z.imag(), __z.real()); }
#if _GLIBCXX_USE_C99_COMPLEX
inline float
__complex_arg(__complex__ float __z) { return __builtin_cargf(__z); }
inline double
__complex_arg(__complex__ double __z) { return __builtin_carg(__z); }
inline long double
__complex_arg(const __complex__ long double& __z)
{ return __builtin_cargl(__z); }
template<typename _Tp>
inline _Tp
arg(const complex<_Tp>& __z) { return __complex_arg(__z.__rep()); }
#else
template<typename _Tp>
inline _Tp
arg(const complex<_Tp>& __z) { return __complex_arg(__z); }
#endif
// 26.2.7/5: norm(__z) returns the squared magnitude of __z.
// As defined, norm() is -not- a norm is the common mathematical
// sens used in numerics. The helper class _Norm_helper<> tries to
// distinguish between builtin floating point and the rest, so as
// to deliver an answer as close as possible to the real value.
template<bool>
struct _Norm_helper
{
template<typename _Tp>
static inline _Tp _S_do_it(const complex<_Tp>& __z)
{
const _Tp __x = __z.real();
const _Tp __y = __z.imag();
return __x * __x + __y * __y;
}
};
template<>
struct _Norm_helper<true>
{
template<typename _Tp>
static inline _Tp _S_do_it(const complex<_Tp>& __z)
{
_Tp __res = std::abs(__z);
return __res * __res;
}
};
template<typename _Tp>
inline _Tp
norm(const complex<_Tp>& __z)
{
return _Norm_helper<__is_floating<_Tp>::__value
&& !_GLIBCXX_FAST_MATH>::_S_do_it(__z);
}
template<typename _Tp>
inline complex<_Tp>
polar(const _Tp& __rho, const _Tp& __theta)
{ return complex<_Tp>(__rho * cos(__theta), __rho * sin(__theta)); }
template<typename _Tp>
inline complex<_Tp>
conj(const complex<_Tp>& __z)
{ return complex<_Tp>(__z.real(), -__z.imag()); }
// Transcendentals
// 26.2.8/1 cos(__z): Returns the cosine of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_cos(const complex<_Tp>& __z)
{
const _Tp __x = __z.real();
const _Tp __y = __z.imag();
return complex<_Tp>(cos(__x) * cosh(__y), -sin(__x) * sinh(__y));
}
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_cos(__complex__ float __z) { return __builtin_ccosf(__z); }
inline __complex__ double
__complex_cos(__complex__ double __z) { return __builtin_ccos(__z); }
inline __complex__ long double
__complex_cos(const __complex__ long double& __z)
{ return __builtin_ccosl(__z); }
template<typename _Tp>
inline complex<_Tp>
cos(const complex<_Tp>& __z) { return __complex_cos(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
cos(const complex<_Tp>& __z) { return __complex_cos(__z); }
#endif
// 26.2.8/2 cosh(__z): Returns the hyperbolic cosine of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_cosh(const complex<_Tp>& __z)
{
const _Tp __x = __z.real();
const _Tp __y = __z.imag();
return complex<_Tp>(cosh(__x) * cos(__y), sinh(__x) * sin(__y));
}
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_cosh(__complex__ float __z) { return __builtin_ccoshf(__z); }
inline __complex__ double
__complex_cosh(__complex__ double __z) { return __builtin_ccosh(__z); }
inline __complex__ long double
__complex_cosh(const __complex__ long double& __z)
{ return __builtin_ccoshl(__z); }
template<typename _Tp>
inline complex<_Tp>
cosh(const complex<_Tp>& __z) { return __complex_cosh(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
cosh(const complex<_Tp>& __z) { return __complex_cosh(__z); }
#endif
// 26.2.8/3 exp(__z): Returns the complex base e exponential of x
template<typename _Tp>
inline complex<_Tp>
__complex_exp(const complex<_Tp>& __z)
{ return std::polar(exp(__z.real()), __z.imag()); }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_exp(__complex__ float __z) { return __builtin_cexpf(__z); }
inline __complex__ double
__complex_exp(__complex__ double __z) { return __builtin_cexp(__z); }
inline __complex__ long double
__complex_exp(const __complex__ long double& __z)
{ return __builtin_cexpl(__z); }
template<typename _Tp>
inline complex<_Tp>
exp(const complex<_Tp>& __z) { return __complex_exp(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
exp(const complex<_Tp>& __z) { return __complex_exp(__z); }
#endif
// 26.2.8/5 log(__z): Returns the natural complex logarithm of __z.
// The branch cut is along the negative axis.
template<typename _Tp>
inline complex<_Tp>
__complex_log(const complex<_Tp>& __z)
{ return complex<_Tp>(log(std::abs(__z)), std::arg(__z)); }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_log(__complex__ float __z) { return __builtin_clogf(__z); }
inline __complex__ double
__complex_log(__complex__ double __z) { return __builtin_clog(__z); }
inline __complex__ long double
__complex_log(const __complex__ long double& __z)
{ return __builtin_clogl(__z); }
template<typename _Tp>
inline complex<_Tp>
log(const complex<_Tp>& __z) { return __complex_log(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
log(const complex<_Tp>& __z) { return __complex_log(__z); }
#endif
template<typename _Tp>
inline complex<_Tp>
log10(const complex<_Tp>& __z)
{ return std::log(__z) / log(_Tp(10.0)); }
// 26.2.8/10 sin(__z): Returns the sine of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_sin(const complex<_Tp>& __z)
{
const _Tp __x = __z.real();
const _Tp __y = __z.imag();
return complex<_Tp>(sin(__x) * cosh(__y), cos(__x) * sinh(__y));
}
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_sin(__complex__ float __z) { return __builtin_csinf(__z); }
inline __complex__ double
__complex_sin(__complex__ double __z) { return __builtin_csin(__z); }
inline __complex__ long double
__complex_sin(const __complex__ long double& __z)
{ return __builtin_csinl(__z); }
template<typename _Tp>
inline complex<_Tp>
sin(const complex<_Tp>& __z) { return __complex_sin(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
sin(const complex<_Tp>& __z) { return __complex_sin(__z); }
#endif
// 26.2.8/11 sinh(__z): Returns the hyperbolic sine of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_sinh(const complex<_Tp>& __z)
{
const _Tp __x = __z.real();
const _Tp __y = __z.imag();
return complex<_Tp>(sinh(__x) * cos(__y), cosh(__x) * sin(__y));
}
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_sinh(__complex__ float __z) { return __builtin_csinhf(__z); }
inline __complex__ double
__complex_sinh(__complex__ double __z) { return __builtin_csinh(__z); }
inline __complex__ long double
__complex_sinh(const __complex__ long double& __z)
{ return __builtin_csinhl(__z); }
template<typename _Tp>
inline complex<_Tp>
sinh(const complex<_Tp>& __z) { return __complex_sinh(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
sinh(const complex<_Tp>& __z) { return __complex_sinh(__z); }
#endif
// 26.2.8/13 sqrt(__z): Returns the complex square root of __z.
// The branch cut is on the negative axis.
template<typename _Tp>
complex<_Tp>
__complex_sqrt(const complex<_Tp>& __z)
{
_Tp __x = __z.real();
_Tp __y = __z.imag();
if (__x == _Tp())
{
_Tp __t = sqrt(abs(__y) / 2);
return complex<_Tp>(__t, __y < _Tp() ? -__t : __t);
}
else
{
_Tp __t = sqrt(2 * (std::abs(__z) + abs(__x)));
_Tp __u = __t / 2;
return __x > _Tp()
? complex<_Tp>(__u, __y / __t)
: complex<_Tp>(abs(__y) / __t, __y < _Tp() ? -__u : __u);
}
}
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_sqrt(__complex__ float __z) { return __builtin_csqrtf(__z); }
inline __complex__ double
__complex_sqrt(__complex__ double __z) { return __builtin_csqrt(__z); }
inline __complex__ long double
__complex_sqrt(const __complex__ long double& __z)
{ return __builtin_csqrtl(__z); }
template<typename _Tp>
inline complex<_Tp>
sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
sqrt(const complex<_Tp>& __z) { return __complex_sqrt(__z); }
#endif
// 26.2.8/14 tan(__z): Return the complex tangent of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_tan(const complex<_Tp>& __z)
{ return std::sin(__z) / std::cos(__z); }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_tan(__complex__ float __z) { return __builtin_ctanf(__z); }
inline __complex__ double
__complex_tan(__complex__ double __z) { return __builtin_ctan(__z); }
inline __complex__ long double
__complex_tan(const __complex__ long double& __z)
{ return __builtin_ctanl(__z); }
template<typename _Tp>
inline complex<_Tp>
tan(const complex<_Tp>& __z) { return __complex_tan(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
tan(const complex<_Tp>& __z) { return __complex_tan(__z); }
#endif
// 26.2.8/15 tanh(__z): Returns the hyperbolic tangent of __z.
template<typename _Tp>
inline complex<_Tp>
__complex_tanh(const complex<_Tp>& __z)
{ return std::sinh(__z) / std::cosh(__z); }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_tanh(__complex__ float __z) { return __builtin_ctanhf(__z); }
inline __complex__ double
__complex_tanh(__complex__ double __z) { return __builtin_ctanh(__z); }
inline __complex__ long double
__complex_tanh(const __complex__ long double& __z)
{ return __builtin_ctanhl(__z); }
template<typename _Tp>
inline complex<_Tp>
tanh(const complex<_Tp>& __z) { return __complex_tanh(__z.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
tanh(const complex<_Tp>& __z) { return __complex_tanh(__z); }
#endif
// 26.2.8/9 pow(__x, __y): Returns the complex power base of __x
// raised to the __y-th power. The branch
// cut is on the negative axis.
template<typename _Tp>
complex<_Tp>
__complex_pow_unsigned(complex<_Tp> __x, unsigned __n)
{
complex<_Tp> __y = __n % 2 ? __x : complex<_Tp>(1);
while (__n >>= 1)
{
__x *= __x;
if (__n % 2)
__y *= __x;
}
return __y;
}
// In C++11 mode we used to implement the resolution of
// DR 844. complex pow return type is ambiguous.
// thus the following overload was disabled in that mode. However, doing
// that causes all sorts of issues, see, for example:
// http://gcc.gnu.org/ml/libstdc++/2013-01/msg00058.html
// and also PR57974.
template<typename _Tp>
inline complex<_Tp>
pow(const complex<_Tp>& __z, int __n)
{
return __n < 0
? complex<_Tp>(1) / std::__complex_pow_unsigned(__z, -(unsigned)__n)
: std::__complex_pow_unsigned(__z, __n);
}
template<typename _Tp>
complex<_Tp>
pow(const complex<_Tp>& __x, const _Tp& __y)
{
#ifndef _GLIBCXX_USE_C99_COMPLEX
if (__x == _Tp())
return _Tp();
#endif
if (__x.imag() == _Tp() && __x.real() > _Tp())
return pow(__x.real(), __y);
complex<_Tp> __t = std::log(__x);
return std::polar(exp(__y * __t.real()), __y * __t.imag());
}
template<typename _Tp>
inline complex<_Tp>
__complex_pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __x == _Tp() ? _Tp() : std::exp(__y * std::log(__x)); }
#if _GLIBCXX_USE_C99_COMPLEX
inline __complex__ float
__complex_pow(__complex__ float __x, __complex__ float __y)
{ return __builtin_cpowf(__x, __y); }
inline __complex__ double
__complex_pow(__complex__ double __x, __complex__ double __y)
{ return __builtin_cpow(__x, __y); }
inline __complex__ long double
__complex_pow(const __complex__ long double& __x,
const __complex__ long double& __y)
{ return __builtin_cpowl(__x, __y); }
template<typename _Tp>
inline complex<_Tp>
pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __complex_pow(__x.__rep(), __y.__rep()); }
#else
template<typename _Tp>
inline complex<_Tp>
pow(const complex<_Tp>& __x, const complex<_Tp>& __y)
{ return __complex_pow(__x, __y); }
#endif
template<typename _Tp>
inline complex<_Tp>
pow(const _Tp& __x, const complex<_Tp>& __y)
{
return __x > _Tp() ? std::polar(pow(__x, __y.real()),
__y.imag() * log(__x))
: std::pow(complex<_Tp>(__x), __y);
}
/// 26.2.3 complex specializations
/// complex<float> specialization
template<>
struct complex<float>
{
typedef float value_type;
typedef __complex__ float _ComplexT;
_GLIBCXX_CONSTEXPR complex(_ComplexT __z) : _M_value(__z) { }
_GLIBCXX_CONSTEXPR complex(float __r = 0.0f, float __i = 0.0f)
#if __cplusplus >= 201103L
: _M_value{ __r, __i } { }
#else
{
__real__ _M_value = __r;
__imag__ _M_value = __i;
}
#endif
explicit _GLIBCXX_CONSTEXPR complex(const complex<double>&);
explicit _GLIBCXX_CONSTEXPR complex(const complex<long double>&);
#if __cplusplus >= 201103L
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
__attribute ((__abi_tag__ ("cxx11")))
constexpr float
real() const { return __real__ _M_value; }
__attribute ((__abi_tag__ ("cxx11")))
constexpr float
imag() const { return __imag__ _M_value; }
#else
float&
real() { return __real__ _M_value; }
const float&
real() const { return __real__ _M_value; }
float&
imag() { return __imag__ _M_value; }
const float&
imag() const { return __imag__ _M_value; }
#endif
// _GLIBCXX_RESOLVE_LIB_DEFECTS
// DR 387. std::complex over-encapsulated.
void
real(float __val) { __real__ _M_value = __val; }
void
imag(float __val) { __imag__ _M_value = __val; }
complex&
operator=(float __f)
{
_M_value = __f;
ret
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