///////////////////////////////////////////////////////////////////////////////
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// Copyright Christopher Kormanyos 2014.
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// Copyright John Maddock 2014.
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// Copyright Paul Bristow 2014.
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// Distributed under the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt
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// or copy at http://www.boost.org/LICENSE_1_0.txt)
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//
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// Implement quadruple-precision I/O stream operations.
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#ifndef BOOST_MATH_CSTDFLOAT_IOSTREAM_2014_02_15_HPP_
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#define BOOST_MATH_CSTDFLOAT_IOSTREAM_2014_02_15_HPP_
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#include <boost/math/cstdfloat/cstdfloat_types.hpp>
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#include <boost/math/cstdfloat/cstdfloat_limits.hpp>
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#include <boost/math/cstdfloat/cstdfloat_cmath.hpp>
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#if defined(BOOST_CSTDFLOAT_NO_LIBQUADMATH_CMATH)
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#error You can not use <boost/math/cstdfloat/cstdfloat_iostream.hpp> with BOOST_CSTDFLOAT_NO_LIBQUADMATH_CMATH defined.
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#endif
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#if defined(BOOST_CSTDFLOAT_HAS_INTERNAL_FLOAT128_T) && defined(BOOST_MATH_USE_FLOAT128) && !defined(BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT)
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#include <cstddef>
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#include <istream>
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#include <ostream>
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#include <sstream>
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#include <stdexcept>
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#include <string>
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#include <boost/static_assert.hpp>
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#include <boost/throw_exception.hpp>
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// #if (0)
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#if defined(__GNUC__)
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// Forward declarations of quadruple-precision string functions.
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extern "C" int quadmath_snprintf(char *str, size_t size, const char *format, ...) throw();
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extern "C" boost::math::cstdfloat::detail::float_internal128_t strtoflt128(const char*, char **) throw();
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namespace std
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{
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template<typename char_type, class traits_type>
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inline std::basic_ostream<char_type, traits_type>& operator<<(std::basic_ostream<char_type, traits_type>& os, const boost::math::cstdfloat::detail::float_internal128_t& x)
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{
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std::basic_ostringstream<char_type, traits_type> ostr;
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ostr.flags(os.flags());
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ostr.imbue(os.getloc());
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ostr.precision(os.precision());
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char my_buffer[64U];
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const int my_prec = static_cast<int>(os.precision());
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const int my_digits = ((my_prec == 0) ? 36 : my_prec);
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const std::ios_base::fmtflags my_flags = os.flags();
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char my_format_string[8U];
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std::size_t my_format_string_index = 0U;
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my_format_string[my_format_string_index] = '%';
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++my_format_string_index;
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if(my_flags & std::ios_base::showpos) { my_format_string[my_format_string_index] = '+'; ++my_format_string_index; }
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if(my_flags & std::ios_base::showpoint) { my_format_string[my_format_string_index] = '#'; ++my_format_string_index; }
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my_format_string[my_format_string_index + 0U] = '.';
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my_format_string[my_format_string_index + 1U] = '*';
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my_format_string[my_format_string_index + 2U] = 'Q';
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my_format_string_index += 3U;
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char the_notation_char;
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if (my_flags & std::ios_base::scientific) { the_notation_char = 'e'; }
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else if(my_flags & std::ios_base::fixed) { the_notation_char = 'f'; }
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else { the_notation_char = 'g'; }
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my_format_string[my_format_string_index + 0U] = the_notation_char;
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my_format_string[my_format_string_index + 1U] = 0;
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const int v = ::quadmath_snprintf(my_buffer,
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static_cast<int>(sizeof(my_buffer)),
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my_format_string,
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my_digits,
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x);
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if(v < 0) { BOOST_THROW_EXCEPTION(std::runtime_error("Formatting of boost::float128_t failed internally in quadmath_snprintf().")); }
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if(v >= static_cast<int>(sizeof(my_buffer) - 1U))
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{
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// Evidently there is a really long floating-point string here,
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// such as a small decimal representation in non-scientific notation.
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// So we have to use dynamic memory allocation for the output
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// string buffer.
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char* my_buffer2 = static_cast<char*>(0U);
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#ifndef BOOST_NO_EXCEPTIONS
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try
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{
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#endif
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my_buffer2 = new char[v + 3];
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#ifndef BOOST_NO_EXCEPTIONS
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}
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catch(const std::bad_alloc&)
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{
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BOOST_THROW_EXCEPTION(std::runtime_error("Formatting of boost::float128_t failed while allocating memory."));
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}
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#endif
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const int v2 = ::quadmath_snprintf(my_buffer2,
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v + 3,
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my_format_string,
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my_digits,
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x);
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if(v2 >= v + 3)
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{
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BOOST_THROW_EXCEPTION(std::runtime_error("Formatting of boost::float128_t failed."));
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}
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static_cast<void>(ostr << my_buffer2);
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delete [] my_buffer2;
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}
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else
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{
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static_cast<void>(ostr << my_buffer);
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}
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return (os << ostr.str());
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}
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template<typename char_type, class traits_type>
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inline std::basic_istream<char_type, traits_type>& operator>>(std::basic_istream<char_type, traits_type>& is, boost::math::cstdfloat::detail::float_internal128_t& x)
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{
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std::string str;
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static_cast<void>(is >> str);
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char* p_end;
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x = strtoflt128(str.c_str(), &p_end);
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if(static_cast<std::ptrdiff_t>(p_end - str.c_str()) != static_cast<std::ptrdiff_t>(str.length()))
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{
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for(std::string::const_reverse_iterator it = str.rbegin(); it != str.rend(); ++it)
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{
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static_cast<void>(is.putback(*it));
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}
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is.setstate(ios_base::failbit);
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BOOST_THROW_EXCEPTION(std::runtime_error("Unable to interpret input string as a boost::float128_t"));
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}
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return is;
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}
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}
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// #elif defined(__GNUC__)
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#elif defined(BOOST_INTEL)
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// The section for I/O stream support for the ICC compiler is particularly
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// long, because these functions must be painstakingly synthesized from
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// manually-written routines (ICC does not support I/O stream operations
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// for its _Quad type).
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// The following string-extraction routines are based on the methodology
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// used in Boost.Multiprecision by John Maddock and Christopher Kormanyos.
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// This methodology has been slightly modified here for boost::float128_t.
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#include <cstring>
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#include <cctype>
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#include <boost/lexical_cast.hpp>
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namespace boost { namespace math { namespace cstdfloat { namespace detail {
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template<class string_type>
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void format_float_string(string_type& str,
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int my_exp,
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int digits,
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const std::ios_base::fmtflags f,
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const bool iszero)
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{
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typedef typename string_type::size_type size_type;
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const bool scientific = ((f & std::ios_base::scientific) == std::ios_base::scientific);
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const bool fixed = ((f & std::ios_base::fixed) == std::ios_base::fixed);
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const bool showpoint = ((f & std::ios_base::showpoint) == std::ios_base::showpoint);
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const bool showpos = ((f & std::ios_base::showpos) == std::ios_base::showpos);
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const bool b_neg = ((str.size() != 0U) && (str[0] == '-'));
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if(b_neg)
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{
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str.erase(0, 1);
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}
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if(digits == 0)
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{
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digits = static_cast<int>((std::max)(str.size(), size_type(16)));
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}
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if(iszero || str.empty() || (str.find_first_not_of('0') == string_type::npos))
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{
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// We will be printing zero, even though the value might not
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// actually be zero (it just may have been rounded to zero).
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str = "0";
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if(scientific || fixed)
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{
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str.append(1, '.');
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str.append(size_type(digits), '0');
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if(scientific)
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{
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str.append("e+00");
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}
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}
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else
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{
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if(showpoint)
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{
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str.append(1, '.');
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if(digits > 1)
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{
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str.append(size_type(digits - 1), '0');
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}
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}
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}
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if(b_neg)
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{
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str.insert(0U, 1U, '-');
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}
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else if(showpos)
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{
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str.insert(0U, 1U, '+');
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}
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return;
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}
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if(!fixed && !scientific && !showpoint)
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{
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// Suppress trailing zeros.
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typename string_type::iterator pos = str.end();
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while(pos != str.begin() && *--pos == '0') { ; }
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if(pos != str.end())
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{
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++pos;
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}
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str.erase(pos, str.end());
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if(str.empty())
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{
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str = '0';
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}
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}
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else if(!fixed || (my_exp >= 0))
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{
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// Pad out the end with zero's if we need to.
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int chars = static_cast<int>(str.size());
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chars = digits - chars;
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if(scientific)
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{
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++chars;
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}
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if(chars > 0)
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{
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str.append(static_cast<size_type>(chars), '0');
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}
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}
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if(fixed || (!scientific && (my_exp >= -4) && (my_exp < digits)))
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{
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if((1 + my_exp) > static_cast<int>(str.size()))
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{
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// Just pad out the end with zeros.
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str.append(static_cast<size_type>((1 + my_exp) - static_cast<int>(str.size())), '0');
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if(showpoint || fixed)
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{
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str.append(".");
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}
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}
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else if(my_exp + 1 < static_cast<int>(str.size()))
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{
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if(my_exp < 0)
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{
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str.insert(0U, static_cast<size_type>(-1 - my_exp), '0');
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str.insert(0U, "0.");
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}
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else
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{
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// Insert the decimal point:
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str.insert(static_cast<size_type>(my_exp + 1), 1, '.');
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}
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}
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else if(showpoint || fixed) // we have exactly the digits we require to left of the point
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{
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str += ".";
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}
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if(fixed)
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{
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// We may need to add trailing zeros.
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int l = static_cast<int>(str.find('.') + 1U);
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l = digits - (static_cast<int>(str.size()) - l);
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if(l > 0)
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{
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str.append(size_type(l), '0');
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}
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}
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}
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else
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{
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// Scientific format:
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if(showpoint || (str.size() > 1))
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{
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str.insert(1U, 1U, '.');
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}
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str.append(1U, 'e');
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string_type e = boost::lexical_cast<string_type>(std::abs(my_exp));
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if(e.size() < 2U)
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{
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e.insert(0U, 2U - e.size(), '0');
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}
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if(my_exp < 0)
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{
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e.insert(0U, 1U, '-');
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}
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else
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{
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e.insert(0U, 1U, '+');
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}
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str.append(e);
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}
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if(b_neg)
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{
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str.insert(0U, 1U, '-');
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}
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else if(showpos)
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{
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str.insert(0U, 1U, '+');
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}
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}
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template<class float_type, class type_a> inline void eval_convert_to(type_a* pa, const float_type& cb) { *pa = static_cast<type_a>(cb); }
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template<class float_type, class type_a> inline void eval_add (float_type& b, const type_a& a) { b += a; }
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template<class float_type, class type_a> inline void eval_subtract (float_type& b, const type_a& a) { b -= a; }
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template<class float_type, class type_a> inline void eval_multiply (float_type& b, const type_a& a) { b *= a; }
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template<class float_type> inline void eval_multiply (float_type& b, const float_type& cb, const float_type& cb2) { b = (cb * cb2); }
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template<class float_type, class type_a> inline void eval_divide (float_type& b, const type_a& a) { b /= a; }
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template<class float_type> inline void eval_log10 (float_type& b, const float_type& cb) { b = std::log10(cb); }
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template<class float_type> inline void eval_floor (float_type& b, const float_type& cb) { b = std::floor(cb); }
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inline void round_string_up_at(std::string& s, int pos, int& expon)
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{
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// This subroutine rounds up a string representation of a
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// number at the given position pos.
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if(pos < 0)
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{
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s.insert(0U, 1U, '1');
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s.erase(s.size() - 1U);
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++expon;
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}
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else if(s[pos] == '9')
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{
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s[pos] = '0';
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round_string_up_at(s, pos - 1, expon);
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}
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else
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{
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if((pos == 0) && (s[pos] == '0') && (s.size() == 1))
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{
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++expon;
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}
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++s[pos];
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}
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}
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template<class float_type>
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std::string convert_to_string(float_type& x,
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std::streamsize digits,
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const std::ios_base::fmtflags f)
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{
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const bool isneg = (x < 0);
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const bool iszero = ((!isneg) ? bool(+x < (std::numeric_limits<float_type>::min)())
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: bool(-x < (std::numeric_limits<float_type>::min)()));
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const bool isnan = (x != x);
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const bool isinf = ((!isneg) ? bool(+x > (std::numeric_limits<float_type>::max)())
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: bool(-x > (std::numeric_limits<float_type>::max)()));
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int expon = 0;
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if(digits <= 0) { digits = std::numeric_limits<float_type>::max_digits10; }
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const int org_digits = static_cast<int>(digits);
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std::string result;
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if(iszero)
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{
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result = "0";
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}
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else if(isinf)
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{
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if(x < 0)
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{
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return "-inf";
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}
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else
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{
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return ((f & std::ios_base::showpos) == std::ios_base::showpos) ? "+inf" : "inf";
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}
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}
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else if(isnan)
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{
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return "nan";
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}
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else
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{
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// Start by figuring out the base-10 exponent.
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if(isneg) { x = -x; }
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float_type t;
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float_type ten = 10;
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eval_log10(t, x);
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eval_floor(t, t);
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eval_convert_to(&expon, t);
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if(-expon > std::numeric_limits<float_type>::max_exponent10 - 3)
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{
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int e = -expon / 2;
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const float_type t2 = boost::math::cstdfloat::detail::pown(ten, e);
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eval_multiply(t, t2, x);
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eval_multiply(t, t2);
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if((expon & 1) != 0)
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{
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eval_multiply(t, ten);
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}
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}
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else
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{
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t = boost::math::cstdfloat::detail::pown(ten, -expon);
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eval_multiply(t, x);
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}
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// Make sure that the value lies between [1, 10), and adjust if not.
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if(t < 1)
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{
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eval_multiply(t, 10);
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--expon;
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}
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else if(t >= 10)
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{
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eval_divide(t, 10);
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++expon;
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}
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float_type digit;
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int cdigit;
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// Adjust the number of digits required based on formatting options.
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if(((f & std::ios_base::fixed) == std::ios_base::fixed) && (expon != -1))
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{
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digits += (expon + 1);
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}
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if((f & std::ios_base::scientific) == std::ios_base::scientific)
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{
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++digits;
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}
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// Extract the base-10 digits one at a time.
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for(int i = 0; i < digits; ++i)
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{
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eval_floor(digit, t);
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eval_convert_to(&cdigit, digit);
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result += static_cast<char>('0' + cdigit);
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eval_subtract(t, digit);
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eval_multiply(t, ten);
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}
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// Possibly round the result.
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if(digits >= 0)
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{
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eval_floor(digit, t);
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eval_convert_to(&cdigit, digit);
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eval_subtract(t, digit);
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if((cdigit == 5) && (t == 0))
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{
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// Use simple bankers rounding.
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if((static_cast<int>(*result.rbegin() - '0') & 1) != 0)
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{
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round_string_up_at(result, static_cast<int>(result.size() - 1U), expon);
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}
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}
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else if(cdigit >= 5)
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{
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round_string_up_at(result, static_cast<int>(result.size() - 1), expon);
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}
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}
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}
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while((result.size() > static_cast<std::string::size_type>(digits)) && result.size())
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{
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// We may get here as a result of rounding.
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if(result.size() > 1U)
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{
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result.erase(result.size() - 1U);
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}
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else
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{
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if(expon > 0)
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{
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--expon; // so we put less padding in the result.
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}
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else
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{
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++expon;
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}
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++digits;
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}
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}
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if(isneg)
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{
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result.insert(0U, 1U, '-');
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}
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format_float_string(result, expon, org_digits, f, iszero);
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return result;
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}
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template <class float_type>
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bool convert_from_string(float_type& value, const char* p)
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{
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value = 0;
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if((p == static_cast<const char*>(0U)) || (*p == static_cast<char>(0)))
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{
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return;
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}
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bool is_neg = false;
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bool is_neg_expon = false;
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BOOST_CONSTEXPR_OR_CONST int ten = 10;
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int expon = 0;
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int digits_seen = 0;
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BOOST_CONSTEXPR_OR_CONST int max_digits = std::numeric_limits<float_type>::max_digits10 + 1;
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if(*p == static_cast<char>('+'))
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{
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++p;
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}
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else if(*p == static_cast<char>('-'))
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{
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is_neg = true;
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++p;
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}
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const bool isnan = ((std::strcmp(p, "nan") == 0) || (std::strcmp(p, "NaN") == 0) || (std::strcmp(p, "NAN") == 0));
|
|
if(isnan)
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{
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eval_divide(value, 0);
|
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if(is_neg)
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{
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value = -value;
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}
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return true;
|
}
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const bool isinf = ((std::strcmp(p, "inf") == 0) || (std::strcmp(p, "Inf") == 0) || (std::strcmp(p, "INF") == 0));
|
|
if(isinf)
|
{
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value = 1;
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eval_divide(value, 0);
|
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if(is_neg)
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{
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value = -value;
|
}
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return true;
|
}
|
|
// Grab all the leading digits before the decimal point.
|
while(std::isdigit(*p))
|
{
|
eval_multiply(value, ten);
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eval_add(value, static_cast<int>(*p - '0'));
|
++p;
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++digits_seen;
|
}
|
|
if(*p == static_cast<char>('.'))
|
{
|
// Grab everything after the point, stop when we've seen
|
// enough digits, even if there are actually more available.
|
|
++p;
|
|
while(std::isdigit(*p))
|
{
|
eval_multiply(value, ten);
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eval_add(value, static_cast<int>(*p - '0'));
|
++p;
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--expon;
|
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if(++digits_seen > max_digits)
|
{
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break;
|
}
|
}
|
|
while(std::isdigit(*p))
|
{
|
++p;
|
}
|
}
|
|
// Parse the exponent.
|
if((*p == static_cast<char>('e')) || (*p == static_cast<char>('E')))
|
{
|
++p;
|
|
if(*p == static_cast<char>('+'))
|
{
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++p;
|
}
|
else if(*p == static_cast<char>('-'))
|
{
|
is_neg_expon = true;
|
++p;
|
}
|
|
int e2 = 0;
|
|
while(std::isdigit(*p))
|
{
|
e2 *= 10;
|
e2 += (*p - '0');
|
++p;
|
}
|
|
if(is_neg_expon)
|
{
|
e2 = -e2;
|
}
|
|
expon += e2;
|
}
|
|
if(expon)
|
{
|
// Scale by 10^expon. Note that 10^expon can be outside the range
|
// of our number type, even though the result is within range.
|
// If that looks likely, then split the calculation in two parts.
|
float_type t;
|
t = ten;
|
|
if(expon > (std::numeric_limits<float_type>::min_exponent10 + 2))
|
{
|
t = boost::math::cstdfloat::detail::pown(t, expon);
|
eval_multiply(value, t);
|
}
|
else
|
{
|
t = boost::math::cstdfloat::detail::pown(t, (expon + digits_seen + 1));
|
eval_multiply(value, t);
|
t = ten;
|
t = boost::math::cstdfloat::detail::pown(t, (-digits_seen - 1));
|
eval_multiply(value, t);
|
}
|
}
|
|
if(is_neg)
|
{
|
value = -value;
|
}
|
|
return (*p == static_cast<char>(0));
|
}
|
} } } } // boost::math::cstdfloat::detail
|
|
namespace std
|
{
|
template<typename char_type, class traits_type>
|
inline std::basic_ostream<char_type, traits_type>& operator<<(std::basic_ostream<char_type, traits_type>& os, const boost::math::cstdfloat::detail::float_internal128_t& x)
|
{
|
boost::math::cstdfloat::detail::float_internal128_t non_const_x = x;
|
|
const std::string str = boost::math::cstdfloat::detail::convert_to_string(non_const_x,
|
os.precision(),
|
os.flags());
|
|
std::basic_ostringstream<char_type, traits_type> ostr;
|
ostr.flags(os.flags());
|
ostr.imbue(os.getloc());
|
ostr.precision(os.precision());
|
|
static_cast<void>(ostr << str);
|
|
return (os << ostr.str());
|
}
|
|
template<typename char_type, class traits_type>
|
inline std::basic_istream<char_type, traits_type>& operator>>(std::basic_istream<char_type, traits_type>& is, boost::math::cstdfloat::detail::float_internal128_t& x)
|
{
|
std::string str;
|
|
static_cast<void>(is >> str);
|
|
const bool conversion_is_ok = boost::math::cstdfloat::detail::convert_from_string(x, str.c_str());
|
|
if(false == conversion_is_ok)
|
{
|
for(std::string::const_reverse_iterator it = str.rbegin(); it != str.rend(); ++it)
|
{
|
static_cast<void>(is.putback(*it));
|
}
|
|
is.setstate(ios_base::failbit);
|
|
BOOST_THROW_EXCEPTION(std::runtime_error("Unable to interpret input string as a boost::float128_t"));
|
}
|
|
return is;
|
}
|
}
|
|
#endif // Use __GNUC__ or BOOST_INTEL libquadmath
|
|
#endif // Not BOOST_CSTDFLOAT_NO_LIBQUADMATH_SUPPORT (i.e., the user would like to have libquadmath support)
|
|
#endif // BOOST_MATH_CSTDFLOAT_IOSTREAM_2014_02_15_HPP_
|
