///////////////////////////////////////////////////////////////////////////////
-// Copyright Christopher Kormanyos 2002 - 2013.
-// Copyright 2011 -2013 John Maddock. Distributed under the Boost
+// Copyright Christopher Kormanyos 2002 - 2021.
+// Copyright 2011 -2021 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
//
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
//
-// Note that there are no "noexcept" specifications on the functions in this file: there are too many
-// calls to lexical_cast (and similar) to easily analyse the code for correctness. So until compilers
-// can detect noexcept misuse at compile time, the only realistic option is to simply not use it here.
+// There are some "noexcept" specifications on the functions in this file.
+// Unlike in pre-C++11 versions, compilers can now detect noexcept misuse
+// at compile time, allowing for simple use of it here.
//
#ifndef BOOST_MP_CPP_DEC_FLOAT_BACKEND_HPP
#define BOOST_MP_CPP_DEC_FLOAT_BACKEND_HPP
-#include <boost/config.hpp>
-#include <boost/cstdint.hpp>
-#include <limits>
-#ifndef BOOST_NO_CXX11_HDR_ARRAY
+#include <cmath>
+#include <cstdint>
+#include <cstdlib>
+#include <algorithm>
#include <array>
-#else
-#include <boost/array.hpp>
-#endif
-#include <boost/cstdint.hpp>
-#include <boost/functional/hash_fwd.hpp>
+#include <initializer_list>
+#include <iomanip>
+#include <string>
+#include <limits>
+#include <stdexcept>
+#include <boost/multiprecision/detail/standalone_config.hpp>
#include <boost/multiprecision/number.hpp>
-#include <boost/multiprecision/detail/big_lanczos.hpp>
+#include <boost/multiprecision/detail/fpclassify.hpp>
#include <boost/multiprecision/detail/dynamic_array.hpp>
+#include <boost/multiprecision/detail/hash.hpp>
+#include <boost/multiprecision/detail/float128_functions.hpp>
#include <boost/multiprecision/detail/itos.hpp>
+#include <boost/multiprecision/detail/static_array.hpp>
+#include <boost/multiprecision/detail/tables.hpp>
+#include <boost/multiprecision/detail/no_exceptions_support.hpp>
+#include <boost/multiprecision/detail/assert.hpp>
+#ifdef BOOST_MP_MATH_AVAILABLE
//
// Headers required for Boost.Math integration:
//
//
// Some includes we need from Boost.Math, since we rely on that library to provide these functions:
//
-#include <boost/math/special_functions/asinh.hpp>
#include <boost/math/special_functions/acosh.hpp>
+#include <boost/math/special_functions/asinh.hpp>
#include <boost/math/special_functions/atanh.hpp>
#include <boost/math/special_functions/cbrt.hpp>
#include <boost/math/special_functions/expm1.hpp>
#include <boost/math/special_functions/gamma.hpp>
+#endif
#ifdef BOOST_MSVC
#pragma warning(push)
namespace multiprecision {
namespace backends {
-template <unsigned Digits10, class ExponentType = boost::int32_t, class Allocator = void>
+template <unsigned Digits10, class ExponentType = std::int32_t, class Allocator = void>
class cpp_dec_float;
} // namespace backends
template <unsigned Digits10, class ExponentType, class Allocator>
-struct number_category<backends::cpp_dec_float<Digits10, ExponentType, Allocator> > : public mpl::int_<number_kind_floating_point>
+struct number_category<backends::cpp_dec_float<Digits10, ExponentType, Allocator> > : public std::integral_constant<int, number_kind_floating_point>
{};
namespace backends {
class cpp_dec_float
{
private:
- static const boost::int32_t cpp_dec_float_digits10_setting = Digits10;
+ // Perform some static sanity checks.
+ static_assert(boost::multiprecision::detail::is_signed<ExponentType>::value,
+ "ExponentType must be a signed built in integer type.");
- // We need at least 16-bits in the exponent type to do anything sensible:
- BOOST_STATIC_ASSERT_MSG(boost::is_signed<ExponentType>::value, "ExponentType must be a signed built in integer type.");
- BOOST_STATIC_ASSERT_MSG(sizeof(ExponentType) > 1, "ExponentType is too small.");
+ static_assert(sizeof(ExponentType) > 1,
+ "ExponentType is too small.");
+
+ static_assert(Digits10 < UINT32_C(0x80000000),
+ "Digits10 exceeds the maximum.");
+
+ // Private class-local constants.
+ static constexpr std::int32_t cpp_dec_float_digits10_limit_lo = INT32_C(9);
+ static constexpr std::int32_t cpp_dec_float_digits10_limit_hi = static_cast<std::int32_t>((std::numeric_limits<std::int32_t>::max)() - 100);
+
+ static constexpr std::int32_t cpp_dec_float_elem_digits10 = INT32_C(8);
+ static constexpr std::int32_t cpp_dec_float_elem_mask = INT32_C(100000000);
+
+ static constexpr std::int32_t cpp_dec_float_elems_for_kara = static_cast<std::int32_t>(128 + 1);
public:
- typedef mpl::list<boost::long_long_type> signed_types;
- typedef mpl::list<boost::ulong_long_type> unsigned_types;
- typedef mpl::list<double, long double> float_types;
- typedef ExponentType exponent_type;
-
- static const boost::int32_t cpp_dec_float_radix = 10L;
- static const boost::int32_t cpp_dec_float_digits10_limit_lo = 9L;
- static const boost::int32_t cpp_dec_float_digits10_limit_hi = boost::integer_traits<boost::int32_t>::const_max - 100;
- static const boost::int32_t cpp_dec_float_digits10 = ((cpp_dec_float_digits10_setting < cpp_dec_float_digits10_limit_lo) ? cpp_dec_float_digits10_limit_lo : ((cpp_dec_float_digits10_setting > cpp_dec_float_digits10_limit_hi) ? cpp_dec_float_digits10_limit_hi : cpp_dec_float_digits10_setting));
- static const ExponentType cpp_dec_float_max_exp10 = (static_cast<ExponentType>(1) << (std::numeric_limits<ExponentType>::digits - 5));
- static const ExponentType cpp_dec_float_min_exp10 = -cpp_dec_float_max_exp10;
- static const ExponentType cpp_dec_float_max_exp = cpp_dec_float_max_exp10;
- static const ExponentType cpp_dec_float_min_exp = cpp_dec_float_min_exp10;
-
- BOOST_STATIC_ASSERT((cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp10 == -cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp10));
+ using signed_types = std::tuple<long long> ;
+ using unsigned_types = std::tuple<unsigned long long>;
+ using float_types = std::tuple<double, long double>;
+ using exponent_type = ExponentType;
- private:
- static const boost::int32_t cpp_dec_float_elem_digits10 = 8L;
- static const boost::int32_t cpp_dec_float_elem_mask = 100000000L;
+ // Public class-local constants.
+ static constexpr std::int32_t cpp_dec_float_radix = INT32_C(10);
+ static constexpr std::int32_t cpp_dec_float_digits10 = ((static_cast<std::int32_t>(Digits10) < cpp_dec_float_digits10_limit_lo) ? cpp_dec_float_digits10_limit_lo : ((static_cast<std::int32_t>(Digits10) > cpp_dec_float_digits10_limit_hi) ? cpp_dec_float_digits10_limit_hi : static_cast<std::int32_t>(Digits10)));
+ static constexpr exponent_type cpp_dec_float_max_exp10 = (static_cast<exponent_type>(1) << (std::numeric_limits<exponent_type>::digits - 5));
+ static constexpr exponent_type cpp_dec_float_min_exp10 = -cpp_dec_float_max_exp10;
+ static constexpr exponent_type cpp_dec_float_max_exp = cpp_dec_float_max_exp10;
+ static constexpr exponent_type cpp_dec_float_min_exp = cpp_dec_float_min_exp10;
+
+ static_assert(cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp10 == -cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp10, "Failed exponent range check");
- BOOST_STATIC_ASSERT(0 == cpp_dec_float_max_exp10 % cpp_dec_float_elem_digits10);
+ static_assert(0 == cpp_dec_float_max_exp10 % cpp_dec_float_elem_digits10, "Failed digit sanity check");
+ private:
// There are three guard limbs.
// 1) The first limb has 'play' from 1...8 decimal digits.
// 2) The last limb also has 'play' from 1...8 decimal digits.
- // 3) One limb can get lost when justifying after multiply,
- // as only half of the triangle is multiplied and a carry
- // from below is missing.
- static const boost::int32_t cpp_dec_float_elem_number_request = static_cast<boost::int32_t>((cpp_dec_float_digits10 / cpp_dec_float_elem_digits10) + (((cpp_dec_float_digits10 % cpp_dec_float_elem_digits10) != 0) ? 1 : 0));
-
- // The number of elements needed (with a minimum of two) plus three added guard limbs.
- static const boost::int32_t cpp_dec_float_elem_number = static_cast<boost::int32_t>(((cpp_dec_float_elem_number_request < 2L) ? 2L : cpp_dec_float_elem_number_request) + 3L);
+ // 3) One limb can get lost when justifying after multiply.
+ static constexpr std::int32_t cpp_dec_float_elem_number = static_cast<std::int32_t>(((Digits10 / cpp_dec_float_elem_digits10) + (((Digits10 % cpp_dec_float_elem_digits10) != 0) ? 1 : 0)) + 3);
public:
- static const boost::int32_t cpp_dec_float_total_digits10 = static_cast<boost::int32_t>(cpp_dec_float_elem_number * cpp_dec_float_elem_digits10);
+ static constexpr std::int32_t cpp_dec_float_max_digits10 = static_cast<std::int32_t>(cpp_dec_float_elem_number * cpp_dec_float_elem_digits10);
private:
+ using array_type =
+ typename std::conditional<std::is_void<Allocator>::value,
+ detail::static_array <std::uint32_t, static_cast<std::uint32_t>(cpp_dec_float_elem_number)>,
+ detail::dynamic_array<std::uint32_t, static_cast<std::uint32_t>(cpp_dec_float_elem_number), Allocator> >::type;
+
typedef enum enum_fpclass_type
{
cpp_dec_float_finite,
cpp_dec_float_NaN
} fpclass_type;
-#ifndef BOOST_NO_CXX11_HDR_ARRAY
- typedef typename mpl::if_<is_void<Allocator>,
- std::array<boost::uint32_t, cpp_dec_float_elem_number>,
- detail::dynamic_array<boost::uint32_t, cpp_dec_float_elem_number, Allocator> >::type array_type;
-#else
- typedef typename mpl::if_<is_void<Allocator>,
- boost::array<boost::uint32_t, cpp_dec_float_elem_number>,
- detail::dynamic_array<boost::uint32_t, cpp_dec_float_elem_number, Allocator> >::type array_type;
-#endif
+ array_type data;
+ exponent_type exp;
+ bool neg;
+ fpclass_type fpclass;
+ std::int32_t prec_elem;
- array_type data;
- ExponentType exp;
- bool neg;
- fpclass_type fpclass;
- boost::int32_t prec_elem;
-
- //
- // Special values constructor:
- //
- cpp_dec_float(fpclass_type c) : data(),
- exp(static_cast<ExponentType>(0)),
- neg(false),
- fpclass(c),
- prec_elem(cpp_dec_float_elem_number) {}
+ // Private constructor from the floating-point class type.
+ explicit cpp_dec_float(fpclass_type c) : data(),
+ exp(static_cast<exponent_type>(0)),
+ neg(false),
+ fpclass(c),
+ prec_elem(cpp_dec_float_elem_number) {}
- //
- // Static data initializer:
- //
- struct initializer
+ // Constructor from an initializer_list, an optional
+ // (value-aligned) exponent and a Boolean sign.
+ static cpp_dec_float from_lst(std::initializer_list<std::uint32_t> lst,
+ const exponent_type e = 0,
+ const bool n = false)
{
- initializer()
- {
- cpp_dec_float<Digits10, ExponentType, Allocator>::nan();
- cpp_dec_float<Digits10, ExponentType, Allocator>::inf();
- (cpp_dec_float<Digits10, ExponentType, Allocator>::min)();
- (cpp_dec_float<Digits10, ExponentType, Allocator>::max)();
- cpp_dec_float<Digits10, ExponentType, Allocator>::zero();
- cpp_dec_float<Digits10, ExponentType, Allocator>::one();
- cpp_dec_float<Digits10, ExponentType, Allocator>::two();
- cpp_dec_float<Digits10, ExponentType, Allocator>::half();
- cpp_dec_float<Digits10, ExponentType, Allocator>::double_min();
- cpp_dec_float<Digits10, ExponentType, Allocator>::double_max();
- //cpp_dec_float<Digits10, ExponentType, Allocator>::long_double_max();
- //cpp_dec_float<Digits10, ExponentType, Allocator>::long_double_min();
- cpp_dec_float<Digits10, ExponentType, Allocator>::long_long_max();
- cpp_dec_float<Digits10, ExponentType, Allocator>::long_long_min();
- cpp_dec_float<Digits10, ExponentType, Allocator>::ulong_long_max();
- cpp_dec_float<Digits10, ExponentType, Allocator>::eps();
- cpp_dec_float<Digits10, ExponentType, Allocator>::pow2(0);
- }
- void do_nothing() {}
- };
+ cpp_dec_float a;
- static initializer init;
+ a.data = array_type(lst);
+ a.exp = e;
+ a.neg = n;
+ a.fpclass = cpp_dec_float_finite;
+ a.prec_elem = cpp_dec_float_elem_number;
- struct long_double_initializer
- {
- long_double_initializer()
- {
- cpp_dec_float<Digits10, ExponentType, Allocator>::long_double_max();
- cpp_dec_float<Digits10, ExponentType, Allocator>::long_double_min();
- }
- void do_nothing() {}
- };
-
- static long_double_initializer linit;
+ return a;
+ }
public:
- // Constructors
- cpp_dec_float() BOOST_MP_NOEXCEPT_IF(noexcept(array_type())) : data(),
- exp(static_cast<ExponentType>(0)),
- neg(false),
- fpclass(cpp_dec_float_finite),
- prec_elem(cpp_dec_float_elem_number) {}
+ // Public Constructors
+ cpp_dec_float() noexcept(noexcept(array_type())) : data(),
+ exp(static_cast<exponent_type>(0)),
+ neg(false),
+ fpclass(cpp_dec_float_finite),
+ prec_elem(cpp_dec_float_elem_number) {}
cpp_dec_float(const char* s) : data(),
- exp(static_cast<ExponentType>(0)),
+ exp(static_cast<exponent_type>(0)),
neg(false),
fpclass(cpp_dec_float_finite),
prec_elem(cpp_dec_float_elem_number)
}
template <class I>
- cpp_dec_float(I i, typename enable_if<is_unsigned<I> >::type* = 0) : data(),
- exp(static_cast<ExponentType>(0)),
- neg(false),
- fpclass(cpp_dec_float_finite),
- prec_elem(cpp_dec_float_elem_number)
+ cpp_dec_float(I i,
+ typename std::enable_if<boost::multiprecision::detail::is_unsigned<I>::value && (sizeof(I) <= sizeof(long long))>::type* = nullptr)
+ : data(),
+ exp(static_cast<exponent_type>(0)),
+ neg(false),
+ fpclass(cpp_dec_float_finite),
+ prec_elem(cpp_dec_float_elem_number)
{
from_unsigned_long_long(i);
}
template <class I>
- cpp_dec_float(I i, typename enable_if<is_signed<I> >::type* = 0) : data(),
- exp(static_cast<ExponentType>(0)),
- neg(false),
- fpclass(cpp_dec_float_finite),
- prec_elem(cpp_dec_float_elem_number)
+ cpp_dec_float(I i,
+ typename std::enable_if<( boost::multiprecision::detail::is_signed<I>::value
+ && boost::multiprecision::detail::is_integral<I>::value
+ && (sizeof(I) <= sizeof(long long)))>::type* = nullptr)
+ : data(),
+ exp(static_cast<exponent_type>(0)),
+ neg(false),
+ fpclass(cpp_dec_float_finite),
+ prec_elem(cpp_dec_float_elem_number)
{
if (i < 0)
{
negate();
}
else
- from_unsigned_long_long(i);
+ from_unsigned_long_long(static_cast<unsigned long long>(i));
}
- cpp_dec_float(const cpp_dec_float& f) BOOST_MP_NOEXCEPT_IF(noexcept(array_type(std::declval<const array_type&>()))) : data(f.data),
- exp(f.exp),
- neg(f.neg),
- fpclass(f.fpclass),
- prec_elem(f.prec_elem) {}
+ cpp_dec_float(const cpp_dec_float& f) noexcept(noexcept(array_type(std::declval<const array_type&>())))
+ : data(f.data),
+ exp(f.exp),
+ neg(f.neg),
+ fpclass(f.fpclass),
+ prec_elem(f.prec_elem) {}
template <unsigned D, class ET, class A>
- cpp_dec_float(const cpp_dec_float<D, ET, A>& f, typename enable_if_c<D <= Digits10>::type* = 0) : data(),
- exp(f.exp),
- neg(f.neg),
- fpclass(static_cast<fpclass_type>(static_cast<int>(f.fpclass))),
- prec_elem(cpp_dec_float_elem_number)
+ cpp_dec_float(const cpp_dec_float<D, ET, A>& f, typename std::enable_if<D <= Digits10>::type* = nullptr)
+ : data(),
+ exp(f.exp),
+ neg(f.neg),
+ fpclass(static_cast<fpclass_type>(static_cast<int>(f.fpclass))),
+ prec_elem(cpp_dec_float_elem_number)
{
std::copy(f.data.begin(), f.data.begin() + f.prec_elem, data.begin());
}
template <unsigned D, class ET, class A>
- explicit cpp_dec_float(const cpp_dec_float<D, ET, A>& f, typename disable_if_c<D <= Digits10>::type* = 0) : data(),
- exp(f.exp),
- neg(f.neg),
- fpclass(static_cast<fpclass_type>(static_cast<int>(f.fpclass))),
- prec_elem(cpp_dec_float_elem_number)
+ explicit cpp_dec_float(const cpp_dec_float<D, ET, A>& f, typename std::enable_if< !(D <= Digits10)>::type* = nullptr)
+ : data(),
+ exp(f.exp),
+ neg(f.neg),
+ fpclass(static_cast<fpclass_type>(static_cast<int>(f.fpclass))),
+ prec_elem(cpp_dec_float_elem_number)
{
// TODO: this doesn't round!
std::copy(f.data.begin(), f.data.begin() + prec_elem, data.begin());
}
template <class F>
- cpp_dec_float(const F val, typename enable_if_c<is_floating_point<F>::value
-#ifdef BOOST_HAS_FLOAT128
- && !boost::is_same<F, __float128>::value
-#endif
- >::type* = 0) : data(),
- exp(static_cast<ExponentType>(0)),
- neg(false),
- fpclass(cpp_dec_float_finite),
- prec_elem(cpp_dec_float_elem_number)
+ cpp_dec_float(const F val, typename std::enable_if<std::is_floating_point<F>::value
+ >::type* = nullptr) : data(),
+ exp(static_cast<exponent_type>(0)),
+ neg(false),
+ fpclass(cpp_dec_float_finite),
+ prec_elem(cpp_dec_float_elem_number)
{
*this = val;
}
- cpp_dec_float(const double mantissa, const ExponentType exponent);
+ cpp_dec_float(const double mantissa, const exponent_type exponent);
std::size_t hash() const
{
std::size_t result = 0;
for (int i = 0; i < prec_elem; ++i)
- boost::hash_combine(result, data[i]);
- boost::hash_combine(result, exp);
- boost::hash_combine(result, neg);
- boost::hash_combine(result, fpclass);
+ boost::multiprecision::detail::hash_combine(result, data[i]);
+ boost::multiprecision::detail::hash_combine(result, exp, neg, static_cast<std::size_t>(fpclass));
return result;
}
// Specific special values.
- static const cpp_dec_float& nan()
- {
- static const cpp_dec_float val(cpp_dec_float_NaN);
- init.do_nothing();
- return val;
- }
-
- static const cpp_dec_float& inf()
- {
- static const cpp_dec_float val(cpp_dec_float_inf);
- init.do_nothing();
- return val;
- }
-
- static const cpp_dec_float&(max)()
- {
- init.do_nothing();
- static cpp_dec_float val_max = std::string("1.0e" + boost::multiprecision::detail::itos(cpp_dec_float_max_exp10)).c_str();
- return val_max;
- }
-
- static const cpp_dec_float&(min)()
- {
- init.do_nothing();
- static cpp_dec_float val_min = std::string("1.0e" + boost::multiprecision::detail::itos(cpp_dec_float_min_exp10)).c_str();
- return val_min;
- }
-
- static const cpp_dec_float& zero()
- {
- init.do_nothing();
- static cpp_dec_float val(static_cast<boost::ulong_long_type>(0u));
- return val;
- }
-
- static const cpp_dec_float& one()
- {
- init.do_nothing();
- static cpp_dec_float val(static_cast<boost::ulong_long_type>(1u));
- return val;
- }
-
- static const cpp_dec_float& two()
- {
- init.do_nothing();
- static cpp_dec_float val(static_cast<boost::ulong_long_type>(2u));
- return val;
- }
-
- static const cpp_dec_float& half()
- {
- init.do_nothing();
- static cpp_dec_float val(0.5L);
- return val;
- }
-
- static const cpp_dec_float& double_min()
- {
- init.do_nothing();
- static cpp_dec_float val((std::numeric_limits<double>::min)());
- return val;
- }
-
- static const cpp_dec_float& double_max()
- {
- init.do_nothing();
- static cpp_dec_float val((std::numeric_limits<double>::max)());
- return val;
- }
+ static const cpp_dec_float& nan () { static const cpp_dec_float val(cpp_dec_float_NaN); return val; }
+ static const cpp_dec_float& inf () { static const cpp_dec_float val(cpp_dec_float_inf); return val; }
+ static const cpp_dec_float& (max)() { static const cpp_dec_float val(from_lst({ std::uint32_t(1u) }, cpp_dec_float_max_exp10)); return val; }
+ static const cpp_dec_float& (min)() { static const cpp_dec_float val(from_lst({ std::uint32_t(1u) }, cpp_dec_float_min_exp10)); return val; }
+ static const cpp_dec_float& zero() { static const cpp_dec_float val(from_lst({ std::uint32_t(0u) })); return val; }
+ static const cpp_dec_float& one () { static const cpp_dec_float val(from_lst({ std::uint32_t(1u) })); return val; }
+ static const cpp_dec_float& two () { static const cpp_dec_float val(from_lst({ std::uint32_t(2u) })); return val; }
+ static const cpp_dec_float& half() { static const cpp_dec_float val(from_lst({ std::uint32_t(cpp_dec_float_elem_mask / 2)}, -8)); return val; }
+
+ static const cpp_dec_float& double_min() { static const cpp_dec_float val((std::numeric_limits<double>::min)()); return val; }
+ static const cpp_dec_float& double_max() { static const cpp_dec_float val((std::numeric_limits<double>::max)()); return val; }
static const cpp_dec_float& long_double_min()
{
- linit.do_nothing();
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- static cpp_dec_float val(static_cast<long double>((std::numeric_limits<double>::min)()));
+ static const cpp_dec_float val(static_cast<long double>((std::numeric_limits<double>::min)()));
#else
- static cpp_dec_float val((std::numeric_limits<long double>::min)());
+ static const cpp_dec_float val((std::numeric_limits<long double>::min)());
#endif
return val;
}
static const cpp_dec_float& long_double_max()
{
- linit.do_nothing();
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- static cpp_dec_float val(static_cast<long double>((std::numeric_limits<double>::max)()));
+ static const cpp_dec_float val(static_cast<long double>((std::numeric_limits<double>::max)()));
#else
- static cpp_dec_float val((std::numeric_limits<long double>::max)());
+ static const cpp_dec_float val((std::numeric_limits<long double>::max)());
#endif
return val;
}
- static const cpp_dec_float& long_long_max()
- {
- init.do_nothing();
- static cpp_dec_float val((std::numeric_limits<boost::long_long_type>::max)());
- return val;
- }
-
- static const cpp_dec_float& long_long_min()
- {
- init.do_nothing();
- static cpp_dec_float val((std::numeric_limits<boost::long_long_type>::min)());
- return val;
- }
-
- static const cpp_dec_float& ulong_long_max()
- {
- init.do_nothing();
- static cpp_dec_float val((std::numeric_limits<boost::ulong_long_type>::max)());
- return val;
- }
+ static const cpp_dec_float& long_long_max () { static const cpp_dec_float val((std::numeric_limits<long long>::max)()); return val; }
+ static const cpp_dec_float& long_long_min () { static const cpp_dec_float val((std::numeric_limits<long long>::min)()); return val; }
+ static const cpp_dec_float& ulong_long_max() { static const cpp_dec_float val((std::numeric_limits<unsigned long long>::max)()); return val; }
static const cpp_dec_float& eps()
{
- init.do_nothing();
- static cpp_dec_float val(1.0, 1 - static_cast<int>(cpp_dec_float_digits10));
+ static const cpp_dec_float val
+ (
+ from_lst
+ (
+ {
+ (std::uint32_t) detail::pow10_maker((std::uint32_t) ((std::int32_t) (INT32_C(1) + (std::int32_t) (((cpp_dec_float_digits10 / cpp_dec_float_elem_digits10) + ((cpp_dec_float_digits10 % cpp_dec_float_elem_digits10) != 0 ? 1 : 0)) * cpp_dec_float_elem_digits10)) - cpp_dec_float_digits10))
+ },
+ -(exponent_type) (((cpp_dec_float_digits10 / cpp_dec_float_elem_digits10) + ((cpp_dec_float_digits10 % cpp_dec_float_elem_digits10) != 0 ? 1 : 0)) * cpp_dec_float_elem_digits10)
+ )
+ );
+
return val;
}
// Basic operations.
- cpp_dec_float& operator=(const cpp_dec_float& v)
BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<array_type&>() = std::declval<const array_type&>()))
+ cpp_dec_float& operator=(const cpp_dec_float& v)
noexcept(noexcept(std::declval<array_type&>() = std::declval<const array_type&>()))
{
data = v.data;
exp = v.exp;
return *this;
}
- cpp_dec_float& operator=(boost::long_long_type v)
+ cpp_dec_float& operator=(long long v)
{
if (v < 0)
{
- from_unsigned_long_long(1u - boost::ulong_long_type(v + 1)); // Avoid undefined behaviour in negation of minimum value for long long
+ from_unsigned_long_long(boost::multiprecision::detail::unsigned_abs(v));
negate();
}
else
return *this;
}
- cpp_dec_float& operator=(boost::ulong_long_type v)
+ cpp_dec_float& operator=(unsigned long long v)
{
from_unsigned_long_long(v);
return *this;
}
+#ifdef BOOST_HAS_INT128
+ cpp_dec_float& operator=(int128_type v)
+ {
+ *this = boost::multiprecision::detail::unsigned_abs(v);
+ if (v < 0)
+ negate();
+ return *this;
+ }
+
+ cpp_dec_float& operator=(uint128_type v)
+ {
+ using default_ops::eval_add;
+ using default_ops::eval_multiply;
+ static constexpr unsigned bit_shift = sizeof(unsigned long long) * CHAR_BIT;
+ static constexpr uint128_type mask = (static_cast<uint128_type>(1u) << bit_shift) - 1;
+ unsigned shift = bit_shift;
+ *this = static_cast<unsigned long long>(v & mask);
+ v >>= bit_shift;
+ while (v)
+ {
+ cpp_dec_float t(static_cast<unsigned long long>(v & mask));
+ eval_multiply(t, cpp_dec_float::pow2(bit_shift));
+ eval_add(*this, t);
+ v >>= bit_shift;
+ shift += bit_shift;
+ }
+ return *this;
+ }
+#endif
template <class Float>
- typename boost::enable_if_c<boost::is_floating_point<Float>::value, cpp_dec_float&>::type operator=(Float v);
+ typename std::enable_if<std::is_floating_point<Float>::value, cpp_dec_float&>::type operator=(Float v);
cpp_dec_float& operator=(const char* v)
{
cpp_dec_float& operator*=(const cpp_dec_float& v);
cpp_dec_float& operator/=(const cpp_dec_float& v);
- cpp_dec_float& add_unsigned_long_long(const boost::ulong_long_type n)
+ cpp_dec_float& add_unsigned_long_long(const unsigned long long n)
{
cpp_dec_float t;
t.from_unsigned_long_long(n);
return *this += t;
}
- cpp_dec_float& sub_unsigned_long_long(const boost::ulong_long_type n)
+ cpp_dec_float& sub_unsigned_long_long(const unsigned long long n)
{
cpp_dec_float t;
t.from_unsigned_long_long(n);
return *this -= t;
}
- cpp_dec_float& mul_unsigned_long_long(const boost::ulong_long_type n);
- cpp_dec_float& div_unsigned_long_long(const boost::ulong_long_type n);
+ cpp_dec_float& mul_unsigned_long_long(const unsigned long long n);
+ cpp_dec_float& div_unsigned_long_long(const unsigned long long n);
// Elementary primitives.
cpp_dec_float& calculate_inv();
return *this -= one();
}
- std::string str(boost::intmax_t digits, std::ios_base::fmtflags f) const;
+ std::string str(std::intmax_t digits, std::ios_base::fmtflags f) const;
int compare(const cpp_dec_float& v) const;
double extract_double() const;
long double extract_long_double() const;
- boost::long_long_type extract_signed_long_long() const;
- boost::ulong_long_type extract_unsigned_long_long() const;
- void extract_parts(double& mantissa, ExponentType& exponent) const;
+ long long extract_signed_long_long() const;
+ unsigned long long extract_unsigned_long_long() const;
+#ifdef BOOST_HAS_INT128
+ int128_type extract_signed_int128() const;
+ uint128_type extract_unsigned_int128() const;
+#endif
+ void extract_parts(double& mantissa, exponent_type& exponent) const;
cpp_dec_float extract_integer_part() const;
- void precision(const boost::int32_t prec_digits)
+ void precision(const std::int32_t prec_digits)
{
- if (prec_digits >= cpp_dec_float_total_digits10)
- {
- prec_elem = cpp_dec_float_elem_number;
- }
- else
- {
- const boost::int32_t elems = static_cast<boost::int32_t>(static_cast<boost::int32_t>((prec_digits + (cpp_dec_float_elem_digits10 / 2)) / cpp_dec_float_elem_digits10) + static_cast<boost::int32_t>(((prec_digits % cpp_dec_float_elem_digits10) != 0) ? 1 : 0));
+ const std::int32_t elems =
+ static_cast<std::int32_t>( static_cast<std::int32_t>(prec_digits / cpp_dec_float_elem_digits10)
+ + (((prec_digits % cpp_dec_float_elem_digits10) != 0) ? 1 : 0));
- prec_elem = (std::min)(cpp_dec_float_elem_number, (std::max)(elems, static_cast<boost::int32_t>(2)));
- }
+ prec_elem = (std::min)(cpp_dec_float_elem_number, (std::max)(elems, static_cast<std::int32_t>(2)));
}
- static cpp_dec_float pow2(boost::long_long_type i);
- ExponentType order() const
+ static cpp_dec_float pow2(long long i);
+ exponent_type order() const
{
- const bool bo_order_is_zero = ((!(isfinite)()) || (data[0] == static_cast<boost::uint32_t>(0u)));
+ const bool bo_order_is_zero = ((!(isfinite)()) || (data[0] == static_cast<std::uint32_t>(0u)));
//
// Binary search to find the order of the leading term:
//
- ExponentType prefix = 0;
+ exponent_type prefix = 0;
if (data[0] >= 100000UL)
{
}
}
- return (bo_order_is_zero ? static_cast<ExponentType>(0) : static_cast<ExponentType>(exp + prefix));
+ return (bo_order_is_zero ? static_cast<exponent_type>(0) : static_cast<exponent_type>(exp + prefix));
}
+ #ifndef BOOST_MP_STANDALONE
template <class Archive>
void serialize(Archive& ar, const unsigned int /*version*/)
{
ar& boost::make_nvp("class-type", fpclass);
ar& boost::make_nvp("precision", prec_elem);
}
+ #endif
private:
- static bool data_elem_is_non_zero_predicate(const boost::uint32_t& d) { return (d != static_cast<boost::uint32_t>(0u)); }
- static bool data_elem_is_non_nine_predicate(const boost::uint32_t& d) { return (d != static_cast<boost::uint32_t>(cpp_dec_float::cpp_dec_float_elem_mask - 1)); }
+ static bool data_elem_is_non_zero_predicate(const std::uint32_t& d) { return (d != static_cast<std::uint32_t>(0u)); }
+ static bool data_elem_is_non_nine_predicate(const std::uint32_t& d) { return (d != static_cast<std::uint32_t>(cpp_dec_float::cpp_dec_float_elem_mask - 1)); }
static bool char_is_nonzero_predicate(const char& c) { return (c != static_cast<char>('0')); }
- void from_unsigned_long_long(const boost::ulong_long_type u);
+ void from_unsigned_long_long(const unsigned long long u);
+
+ template <typename InputIteratorTypeLeft,
+ typename InputIteratorTypeRight>
+ static int compare_ranges(InputIteratorTypeLeft a,
+ InputIteratorTypeRight b,
+ const std::uint32_t count = cpp_dec_float_elem_number);
+
+ static std::uint32_t eval_add_n( std::uint32_t* r,
+ const std::uint32_t* u,
+ const std::uint32_t* v,
+ const std::int32_t count);
+
+ static std::uint32_t eval_subtract_n( std::uint32_t* r,
+ const std::uint32_t* u,
+ const std::uint32_t* v,
+ const std::int32_t count);
+
+ static void eval_multiply_n_by_n_to_2n( std::uint32_t* r,
+ const std::uint32_t* a,
+ const std::uint32_t* b,
+ const std::uint32_t count);
+
+ static std::uint32_t mul_loop_n(std::uint32_t* const u, std::uint32_t n, const std::int32_t p);
+ static std::uint32_t div_loop_n(std::uint32_t* const u, std::uint32_t n, const std::int32_t p);
- int cmp_data(const array_type& vd) const;
+ static void eval_multiply_kara_propagate_carry (std::uint32_t* t, const std::uint32_t n, const std::uint32_t carry);
+ static void eval_multiply_kara_propagate_borrow(std::uint32_t* t, const std::uint32_t n, const bool has_borrow);
+ static void eval_multiply_kara_n_by_n_to_2n ( std::uint32_t* r,
+ const std::uint32_t* a,
+ const std::uint32_t* b,
+ const std::uint32_t n,
+ std::uint32_t* t);
- static boost::uint32_t mul_loop_uv(boost::uint32_t* const u, const boost::uint32_t* const v, const boost::int32_t p);
- static boost::uint32_t mul_loop_n(boost::uint32_t* const u, boost::uint32_t n, const boost::int32_t p);
- static boost::uint32_t div_loop_n(boost::uint32_t* const u, boost::uint32_t n, const boost::int32_t p);
+ template<unsigned D>
+ void eval_mul_dispatch_multiplication_method(
+ const cpp_dec_float<D, ExponentType, Allocator>& v,
+ const std::int32_t prec_elems_for_multiply,
+ const typename std::enable_if< (D == Digits10)
+ && (cpp_dec_float<D, ExponentType, Allocator>::cpp_dec_float_elem_number < cpp_dec_float_elems_for_kara)>::type* = nullptr)
+ {
+ // Use school multiplication.
+
+ using array_for_mul_result_type =
+ typename std::conditional<std::is_void<Allocator>::value,
+ detail::static_array <std::uint32_t, std::uint32_t(cpp_dec_float_elem_number * 2)>,
+ detail::dynamic_array<std::uint32_t, std::uint32_t(cpp_dec_float_elem_number * 2), Allocator> >::type;
+
+ array_for_mul_result_type result;
+
+ eval_multiply_n_by_n_to_2n(result.data(), data.data(), v.data.data(), static_cast<std::uint32_t>(prec_elems_for_multiply));
+
+ // Handle a potential carry.
+ if(result[0U] != static_cast<std::uint32_t>(0U))
+ {
+ exp += static_cast<exponent_type>(cpp_dec_float_elem_digits10);
+
+ // Shift the result of the multiplication one element to the right.
+ std::copy(result.cbegin(),
+ result.cbegin() + static_cast<std::ptrdiff_t>(prec_elems_for_multiply),
+ data.begin());
+ }
+ else
+ {
+ std::copy(result.cbegin() + 1,
+ result.cbegin() + (std::min)(static_cast<std::int32_t>(prec_elems_for_multiply + 1), cpp_dec_float_elem_number),
+ data.begin());
+ }
+ }
+
+ template<unsigned D>
+ void eval_mul_dispatch_multiplication_method(
+ const cpp_dec_float<D, ExponentType, Allocator>& v,
+ const std::int32_t prec_elems_for_multiply,
+ const typename std::enable_if< (D == Digits10)
+ && !(cpp_dec_float<D, ExponentType, Allocator>::cpp_dec_float_elem_number < cpp_dec_float_elems_for_kara)>::type* = nullptr)
+ {
+ if(prec_elems_for_multiply < cpp_dec_float_elems_for_kara)
+ {
+ // Use school multiplication.
+
+ using array_for_mul_result_type =
+ typename std::conditional<std::is_void<Allocator>::value,
+ detail::static_array <std::uint32_t, std::uint32_t(cpp_dec_float_elem_number * 2)>,
+ detail::dynamic_array<std::uint32_t, std::uint32_t(cpp_dec_float_elem_number * 2), Allocator> >::type;
+
+ array_for_mul_result_type result;
+
+ eval_multiply_n_by_n_to_2n(result.data(), data.data(), v.data.data(), prec_elems_for_multiply);
+
+ // Handle a potential carry.
+ if(result[0U] != static_cast<std::uint32_t>(0U))
+ {
+ exp += static_cast<exponent_type>(cpp_dec_float_elem_digits10);
+
+ // Shift the result of the multiplication one element to the right.
+ std::copy(result.cbegin(),
+ result.cbegin() + static_cast<std::ptrdiff_t>(prec_elems_for_multiply),
+ data.begin());
+ }
+ else
+ {
+ std::copy(result.cbegin() + 1,
+ result.cbegin() + (std::min)(static_cast<std::int32_t>(prec_elems_for_multiply + 1), cpp_dec_float_elem_number),
+ data.begin());
+ }
+ }
+ else
+ {
+ // Use Karatsuba multiplication.
+
+ using array_for_kara_tmp_type =
+ typename std::conditional<std::is_void<Allocator>::value,
+ detail::static_array <std::uint32_t, detail::a029750::a029750_as_constexpr(static_cast<std::uint32_t>(cpp_dec_float_elem_number)) * 8U>,
+ detail::dynamic_array<std::uint32_t, detail::a029750::a029750_as_constexpr(static_cast<std::uint32_t>(cpp_dec_float_elem_number)) * 8U, Allocator> >::type;
+
+ // Sloanes's A029747: Numbers of the form 2^k times 1, 3 or 5.
+ const std::uint32_t kara_elems_for_multiply =
+ detail::a029750::a029750_as_runtime_value(static_cast<std::uint32_t>(prec_elems_for_multiply));
+
+ array_for_kara_tmp_type my_kara_mul_pool;
+
+ std::uint32_t* result = my_kara_mul_pool.data() + (kara_elems_for_multiply * 0U);
+ std::uint32_t* t = my_kara_mul_pool.data() + (kara_elems_for_multiply * 2U);
+ std::uint32_t* u_local = my_kara_mul_pool.data() + (kara_elems_for_multiply * 6U);
+ std::uint32_t* v_local = my_kara_mul_pool.data() + (kara_elems_for_multiply * 7U);
+
+ std::copy( data.cbegin(), data.cbegin() + prec_elems_for_multiply, u_local);
+ std::copy(v.data.cbegin(), v.data.cbegin() + prec_elems_for_multiply, v_local);
+
+ eval_multiply_kara_n_by_n_to_2n(result,
+ u_local,
+ v_local,
+ kara_elems_for_multiply,
+ t);
+
+ // Handle a potential carry.
+ if(result[0U] != static_cast<std::uint32_t>(0U))
+ {
+ exp += static_cast<exponent_type>(cpp_dec_float_elem_digits10);
+
+ // Shift the result of the multiplication one element to the right.
+ std::copy(result,
+ result + static_cast<std::ptrdiff_t>(prec_elems_for_multiply),
+ data.begin());
+ }
+ else
+ {
+ std::copy(result + 1,
+ result + (std::min)(static_cast<std::int32_t>(prec_elems_for_multiply + 1), cpp_dec_float_elem_number),
+ data.begin());
+ }
+ }
+ }
bool rd_string(const char* const s);
};
template <unsigned Digits10, class ExponentType, class Allocator>
-typename cpp_dec_float<Digits10, ExponentType, Allocator>::initializer cpp_dec_float<Digits10, ExponentType, Allocator>::init;
-template <unsigned Digits10, class ExponentType, class Allocator>
-typename cpp_dec_float<Digits10, ExponentType, Allocator>::long_double_initializer cpp_dec_float<Digits10, ExponentType, Allocator>::linit;
-
-template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_radix;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_radix;
template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10_setting;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10_limit_lo;
template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10_limit_lo;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10_limit_hi;
template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10_limit_hi;
-template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
template <unsigned Digits10, class ExponentType, class Allocator>
const ExponentType cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp;
template <unsigned Digits10, class ExponentType, class Allocator>
template <unsigned Digits10, class ExponentType, class Allocator>
const ExponentType cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp10;
template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_digits10;
-template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_number_request;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_digits10;
template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_number;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_number;
template <unsigned Digits10, class ExponentType, class Allocator>
-const boost::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_mask;
+const std::int32_t cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_elem_mask;
template <unsigned Digits10, class ExponentType, class Allocator>
cpp_dec_float<Digits10, ExponentType, Allocator>& cpp_dec_float<Digits10, ExponentType, Allocator>::operator+=(const cpp_dec_float<Digits10, ExponentType, Allocator>& v)
}
// Get the offset for the add/sub operation.
- static const ExponentType max_delta_exp = static_cast<ExponentType>((cpp_dec_float_elem_number - 1) * cpp_dec_float_elem_digits10);
+ constexpr exponent_type max_delta_exp =
+ static_cast<exponent_type>((cpp_dec_float_elem_number - 1) * cpp_dec_float_elem_digits10);
- const ExponentType ofs_exp = static_cast<ExponentType>(exp - v.exp);
+ const exponent_type ofs_exp = static_cast<exponent_type>(exp - v.exp);
// Check if the operation is out of range, requiring special handling.
if (v.iszero() || (ofs_exp > max_delta_exp))
// Do the add/sub operation.
- typename array_type::iterator p_u = data.begin();
- typename array_type::const_iterator p_v = v.data.begin();
- bool b_copy = false;
- const boost::int32_t ofs = static_cast<boost::int32_t>(static_cast<boost::int32_t>(ofs_exp) / cpp_dec_float_elem_digits10);
- array_type n_data;
+ typename array_type::pointer p_u = data.data();
+ typename array_type::const_pointer p_v = v.data.data();
+ bool b_copy = false;
+ const std::int32_t ofs = static_cast<std::int32_t>(static_cast<std::int32_t>(ofs_exp) / cpp_dec_float_elem_digits10);
+ array_type n_data;
if (neg == v.neg)
{
// might have to be treated with a positive, negative or zero offset.
// The result is stored in *this. The data are added one element
// at a time, each element with carry.
- if (ofs >= static_cast<boost::int32_t>(0))
+ if (ofs >= static_cast<std::int32_t>(0))
{
- std::copy(v.data.begin(), v.data.end() - static_cast<size_t>(ofs), n_data.begin() + static_cast<size_t>(ofs));
- std::fill(n_data.begin(), n_data.begin() + static_cast<size_t>(ofs), static_cast<boost::uint32_t>(0u));
- p_v = n_data.begin();
+ std::copy(v.data.cbegin(), v.data.cend() - static_cast<size_t>(ofs), n_data.begin() + static_cast<size_t>(ofs));
+ std::fill(n_data.begin(), n_data.begin() + static_cast<size_t>(ofs), static_cast<std::uint32_t>(0u));
+ p_v = n_data.data();
}
else
{
- std::copy(data.begin(), data.end() - static_cast<size_t>(-ofs), n_data.begin() + static_cast<size_t>(-ofs));
- std::fill(n_data.begin(), n_data.begin() + static_cast<size_t>(-ofs), static_cast<boost::uint32_t>(0u));
- p_u = n_data.begin();
+ std::copy(data.cbegin(), data.cend() - static_cast<size_t>(-ofs), n_data.begin() + static_cast<size_t>(-ofs));
+ std::fill(n_data.begin(), n_data.begin() + static_cast<size_t>(-ofs), static_cast<std::uint32_t>(0u));
+ p_u = n_data.data();
b_copy = true;
}
// Addition algorithm
- boost::uint32_t carry = static_cast<boost::uint32_t>(0u);
-
- for (boost::int32_t j = static_cast<boost::int32_t>(cpp_dec_float_elem_number - static_cast<boost::int32_t>(1)); j >= static_cast<boost::int32_t>(0); j--)
- {
- boost::uint32_t t = static_cast<boost::uint32_t>(static_cast<boost::uint32_t>(p_u[j] + p_v[j]) + carry);
- carry = t / static_cast<boost::uint32_t>(cpp_dec_float_elem_mask);
- p_u[j] = static_cast<boost::uint32_t>(t - static_cast<boost::uint32_t>(carry * static_cast<boost::uint32_t>(cpp_dec_float_elem_mask)));
- }
+ const std::uint32_t carry = eval_add_n(p_u, p_u, p_v, cpp_dec_float_elem_number);
if (b_copy)
{
}
// There needs to be a carry into the element -1 of the array data
- if (carry != static_cast<boost::uint32_t>(0u))
+ if (carry != static_cast<std::uint32_t>(0u))
{
- std::copy_backward(data.begin(), data.end() - static_cast<std::size_t>(1u), data.end());
+ std::copy_backward(data.cbegin(), data.cend() - static_cast<std::size_t>(1u), data.end());
data[0] = carry;
- exp += static_cast<ExponentType>(cpp_dec_float_elem_digits10);
+ exp += static_cast<exponent_type>(cpp_dec_float_elem_digits10);
}
}
else
{
// Subtract v from *this, where the data array of either *this or v
// might have to be treated with a positive, negative or zero offset.
- if ((ofs > static_cast<boost::int32_t>(0)) || ((ofs == static_cast<boost::int32_t>(0)) && (cmp_data(v.data) > static_cast<boost::int32_t>(0))))
+ if ((ofs > static_cast<std::int32_t>(0)) || ((ofs == static_cast<std::int32_t>(0)) && (compare_ranges(data.cbegin(), v.data.cbegin()) > static_cast<std::int32_t>(0))))
{
// In this case, |u| > |v| and ofs is positive.
// Copy the data of v, shifted down to a lower value
// into the data array m_n. Set the operand pointer p_v
// to point to the copied, shifted data m_n.
- std::copy(v.data.begin(), v.data.end() - static_cast<size_t>(ofs), n_data.begin() + static_cast<size_t>(ofs));
- std::fill(n_data.begin(), n_data.begin() + static_cast<size_t>(ofs), static_cast<boost::uint32_t>(0u));
- p_v = n_data.begin();
+ std::copy(v.data.cbegin(), v.data.cend() - static_cast<size_t>(ofs), n_data.begin() + static_cast<size_t>(ofs));
+ std::fill(n_data.begin(), n_data.begin() + static_cast<size_t>(ofs), static_cast<std::uint32_t>(0u));
+ p_v = n_data.data();
}
else
{
- if (ofs != static_cast<boost::int32_t>(0))
+ if (ofs != static_cast<std::int32_t>(0))
{
// In this case, |u| < |v| and ofs is negative.
// Shift the data of u down to a lower value.
- std::copy_backward(data.begin(), data.end() - static_cast<size_t>(-ofs), data.end());
- std::fill(data.begin(), data.begin() + static_cast<size_t>(-ofs), static_cast<boost::uint32_t>(0u));
+ std::copy_backward(data.cbegin(), data.cend() - static_cast<size_t>(-ofs), data.end());
+ std::fill(data.begin(), data.begin() + static_cast<size_t>(-ofs), static_cast<std::uint32_t>(0u));
}
// Copy the data of v into the data array n_data.
// operand pointer p_v to point to the shifted
// data m_data.
n_data = v.data;
- p_u = n_data.begin();
- p_v = data.begin();
+ p_u = n_data.data();
+ p_v = data.data();
b_copy = true;
}
- boost::int32_t j;
-
// Subtraction algorithm
- boost::int32_t borrow = static_cast<boost::int32_t>(0);
-
- for (j = static_cast<boost::int32_t>(cpp_dec_float_elem_number - static_cast<boost::int32_t>(1)); j >= static_cast<boost::int32_t>(0); j--)
- {
- boost::int32_t t = static_cast<boost::int32_t>(static_cast<boost::int32_t>(static_cast<boost::int32_t>(p_u[j]) - static_cast<boost::int32_t>(p_v[j])) - borrow);
-
- // Underflow? Borrow?
- if (t < static_cast<boost::int32_t>(0))
- {
- // Yes, underflow and borrow
- t += static_cast<boost::int32_t>(cpp_dec_float_elem_mask);
- borrow = static_cast<boost::int32_t>(1);
- }
- else
- {
- borrow = static_cast<boost::int32_t>(0);
- }
-
- p_u[j] = static_cast<boost::uint32_t>(static_cast<boost::uint32_t>(t) % static_cast<boost::uint32_t>(cpp_dec_float_elem_mask));
- }
+ static_cast<void>(eval_subtract_n(p_u, p_u, p_v, cpp_dec_float_elem_number));
if (b_copy)
{
// This result of the subtraction is exactly zero.
// Reset the sign and the exponent.
neg = false;
- exp = static_cast<ExponentType>(0);
+ exp = static_cast<exponent_type>(0);
}
else
{
const std::size_t sj = static_cast<std::size_t>(std::distance<typename array_type::const_iterator>(data.begin(), first_nonzero_elem));
std::copy(data.begin() + static_cast<std::size_t>(sj), data.end(), data.begin());
- std::fill(data.end() - sj, data.end(), static_cast<boost::uint32_t>(0u));
+ std::fill(data.end() - sj, data.end(), static_cast<std::uint32_t>(0u));
- exp -= static_cast<ExponentType>(sj * static_cast<std::size_t>(cpp_dec_float_elem_digits10));
+ exp -= static_cast<exponent_type>(sj * static_cast<std::size_t>(cpp_dec_float_elem_digits10));
}
}
}
return (*this = zero());
// Check for potential overflow.
- const bool b_result_might_overflow = (exp >= static_cast<ExponentType>(cpp_dec_float_max_exp10));
+ const bool b_result_might_overflow = (exp >= static_cast<exponent_type>(cpp_dec_float_max_exp10));
// Handle overflow.
if (b_result_might_overflow)
}
// Check for potential overflow or underflow.
- const bool b_result_might_overflow = ((exp + v.exp) >= static_cast<ExponentType>(cpp_dec_float_max_exp10));
- const bool b_result_might_underflow = ((exp + v.exp) <= static_cast<ExponentType>(cpp_dec_float_min_exp10));
+ const bool b_result_might_overflow = ((exp + v.exp) >= static_cast<exponent_type>(cpp_dec_float_max_exp10));
+ const bool b_result_might_underflow = ((exp + v.exp) <= static_cast<exponent_type>(cpp_dec_float_min_exp10));
// Set the exponent of the result.
exp += v.exp;
- const boost::int32_t prec_mul = (std::min)(prec_elem, v.prec_elem);
-
- const boost::uint32_t carry = mul_loop_uv(data.data(), v.data.data(), prec_mul);
-
- // Handle a potential carry.
- if (carry != static_cast<boost::uint32_t>(0u))
- {
- exp += cpp_dec_float_elem_digits10;
-
- // Shift the result of the multiplication one element to the right...
- std::copy_backward(data.begin(),
- data.begin() + static_cast<std::size_t>(prec_elem - static_cast<boost::int32_t>(1)),
- data.begin() + static_cast<std::size_t>(prec_elem));
+ const std::int32_t prec_mul = (std::min)(prec_elem, v.prec_elem);
- // ... And insert the carry.
- data.front() = carry;
- }
+ eval_mul_dispatch_multiplication_method(v, prec_mul);
// Handle overflow.
if (b_result_might_overflow && (compare((cpp_dec_float::max)()) > 0))
}
}
- const bool u_and_v_are_finite_and_identical = ((isfinite)() && (fpclass == v.fpclass) && (exp == v.exp) && (cmp_data(v.data) == static_cast<boost::int32_t>(0)));
+ const bool u_and_v_are_finite_and_identical = ((isfinite)() && (fpclass == v.fpclass) && (exp == v.exp) && (compare_ranges(data.cbegin(), v.data.cbegin()) == static_cast<std::int32_t>(0)));
if (u_and_v_are_finite_and_identical)
{
}
template <unsigned Digits10, class ExponentType, class Allocator>
-cpp_dec_float<Digits10, ExponentType, Allocator>& cpp_dec_float<Digits10, ExponentType, Allocator>::mul_unsigned_long_long(const boost::ulong_long_type n)
+cpp_dec_float<Digits10, ExponentType, Allocator>& cpp_dec_float<Digits10, ExponentType, Allocator>::mul_unsigned_long_long(const unsigned long long n)
{
- // Multiply *this with a constant boost::ulong_long_type.
+ // Multiply *this with a constant unsigned long long.
// Evaluate the sign of the result.
const bool b_neg = neg;
// Handle special cases like zero, inf and NaN.
const bool b_u_is_inf = (isinf)();
- const bool b_n_is_zero = (n == static_cast<boost::int32_t>(0));
+ const bool b_n_is_zero = (n == static_cast<std::int32_t>(0));
if ((isnan)() || (b_u_is_inf && b_n_is_zero))
{
return *this = zero();
}
- if (n >= static_cast<boost::ulong_long_type>(cpp_dec_float_elem_mask))
+ if (n >= static_cast<unsigned long long>(cpp_dec_float_elem_mask))
{
neg = b_neg;
cpp_dec_float t;
return operator*=(t);
}
- if (n == static_cast<boost::ulong_long_type>(1u))
+ if (n == static_cast<unsigned long long>(1u))
{
neg = b_neg;
return *this;
}
// Set up the multiplication loop.
- const boost::uint32_t nn = static_cast<boost::uint32_t>(n);
- const boost::uint32_t carry = mul_loop_n(data.data(), nn, prec_elem);
+ const std::uint32_t nn = static_cast<std::uint32_t>(n);
+ const std::uint32_t carry = mul_loop_n(data.data(), nn, prec_elem);
// Handle the carry and adjust the exponent.
- if (carry != static_cast<boost::uint32_t>(0u))
+ if (carry != static_cast<std::uint32_t>(0u))
{
- exp += static_cast<ExponentType>(cpp_dec_float_elem_digits10);
+ exp += static_cast<exponent_type>(cpp_dec_float_elem_digits10);
// Shift the result of the multiplication one element to the right.
std::copy_backward(data.begin(),
- data.begin() + static_cast<std::size_t>(prec_elem - static_cast<boost::int32_t>(1)),
+ data.begin() + static_cast<std::size_t>(prec_elem - static_cast<std::int32_t>(1)),
data.begin() + static_cast<std::size_t>(prec_elem));
- data.front() = static_cast<boost::uint32_t>(carry);
+ data.front() = static_cast<std::uint32_t>(carry);
}
// Check for potential overflow.
}
template <unsigned Digits10, class ExponentType, class Allocator>
-cpp_dec_float<Digits10, ExponentType, Allocator>& cpp_dec_float<Digits10, ExponentType, Allocator>::div_unsigned_long_long(const boost::ulong_long_type n)
+cpp_dec_float<Digits10, ExponentType, Allocator>& cpp_dec_float<Digits10, ExponentType, Allocator>::div_unsigned_long_long(const unsigned long long n)
{
- // Divide *this by a constant boost::ulong_long_type.
+ // Divide *this by a constant unsigned long long.
// Evaluate the sign of the result.
const bool b_neg = neg;
return *this;
}
- if (n == static_cast<boost::ulong_long_type>(0u))
+ if (n == static_cast<unsigned long long>(0u))
{
// Divide by 0.
if (iszero())
return *this;
}
- if (n >= static_cast<boost::ulong_long_type>(cpp_dec_float_elem_mask))
+ if (n >= static_cast<unsigned long long>(cpp_dec_float_elem_mask))
{
neg = b_neg;
cpp_dec_float t;
return operator/=(t);
}
- const boost::uint32_t nn = static_cast<boost::uint32_t>(n);
+ const std::uint32_t nn = static_cast<std::uint32_t>(n);
- if (nn > static_cast<boost::uint32_t>(1u))
+ if (nn > static_cast<std::uint32_t>(1u))
{
// Do the division loop.
- const boost::uint32_t prev = div_loop_n(data.data(), nn, prec_elem);
+ const std::uint32_t prev = div_loop_n(data.data(), nn, prec_elem);
// Determine if one leading zero is in the result data.
- if (data[0] == static_cast<boost::uint32_t>(0u))
+ if (data[0] == static_cast<std::uint32_t>(0u))
{
// Adjust the exponent
- exp -= static_cast<ExponentType>(cpp_dec_float_elem_digits10);
+ exp -= static_cast<exponent_type>(cpp_dec_float_elem_digits10);
// Shift result of the division one element to the left.
std::copy(data.begin() + static_cast<std::size_t>(1u),
- data.begin() + static_cast<std::size_t>(prec_elem - static_cast<boost::int32_t>(1)),
+ data.begin() + static_cast<std::size_t>(prec_elem - static_cast<std::int32_t>(1)),
data.begin());
- data[prec_elem - static_cast<boost::int32_t>(1)] = static_cast<boost::uint32_t>(static_cast<boost::uint64_t>(prev * static_cast<boost::uint64_t>(cpp_dec_float_elem_mask)) / nn);
+ data[static_cast<std::size_t>(prec_elem - static_cast<std::int32_t>(1))] = static_cast<std::uint32_t>(static_cast<std::uint64_t>(prev * static_cast<std::uint64_t>(cpp_dec_float_elem_mask)) / nn);
}
}
// Generate the initial estimate using division.
// Extract the mantissa and exponent for a "manual"
// computation of the estimate.
- double dd;
- ExponentType ne;
+ double dd;
+ exponent_type ne;
x.extract_parts(dd, ne);
// Do the inverse estimate using double precision estimates of mantissa and exponent.
// is used. During the iterative steps, the precision of the calculation is limited
// to the minimum required in order to minimize the run-time.
- static const boost::int32_t double_digits10_minus_a_few = std::numeric_limits<double>::digits10 - 3;
+ constexpr std::int32_t double_digits10_minus_a_few = std::numeric_limits<double>::digits10 - 3;
- for (boost::int32_t digits = double_digits10_minus_a_few; digits <= cpp_dec_float_total_digits10; digits *= static_cast<boost::int32_t>(2))
+ for (std::int32_t digits = double_digits10_minus_a_few; digits <= cpp_dec_float_max_digits10; digits *= static_cast<std::int32_t>(2))
{
// Adjust precision of the terms.
- precision(static_cast<boost::int32_t>((digits + 10) * static_cast<boost::int32_t>(2)));
- x.precision(static_cast<boost::int32_t>((digits + 10) * static_cast<boost::int32_t>(2)));
+ precision(static_cast<std::int32_t>((digits + 10) * static_cast<std::int32_t>(2)));
+ x.precision(static_cast<std::int32_t>((digits + 10) * static_cast<std::int32_t>(2)));
// Next iteration.
cpp_dec_float t(*this);
// Generate the initial estimate using division.
// Extract the mantissa and exponent for a "manual"
// computation of the estimate.
- double dd;
- ExponentType ne;
+ double dd;
+ exponent_type ne;
extract_parts(dd, ne);
// Force the exponent to be an even multiple of two.
- if ((ne % static_cast<ExponentType>(2)) != static_cast<ExponentType>(0))
+ if ((ne % static_cast<exponent_type>(2)) != static_cast<exponent_type>(0))
{
++ne;
dd /= 10.0;
// limited to the minimum required in order to minimize
// the run-time.
//
- // Book references:
- // https://doi.org/10.1007/978-3-642-56735-3
- // http://www.amazon.com/exec/obidos/tg/detail/-/3540665722/qid=1035535482/sr=8-7/ref=sr_8_7/104-3357872-6059916?v=glance&n=507846
+ // Book reference to "Pi Unleashed:
+ // https://www.springer.com/gp/book/9783642567353
- static const boost::uint32_t double_digits10_minus_a_few = std::numeric_limits<double>::digits10 - 3;
+ constexpr std::uint32_t double_digits10_minus_a_few = std::numeric_limits<double>::digits10 - 3;
- for (boost::int32_t digits = double_digits10_minus_a_few; digits <= cpp_dec_float_total_digits10; digits *= 2u)
+ for (std::int32_t digits = double_digits10_minus_a_few; digits <= cpp_dec_float_max_digits10; digits *= 2)
{
// Adjust precision of the terms.
precision((digits + 10) * 2);
return *this;
}
-template <unsigned Digits10, class ExponentType, class Allocator>
-int cpp_dec_float<Digits10, ExponentType, Allocator>::cmp_data(const array_type& vd) const
-{
- // Compare the data of *this with those of v.
- // Return +1 for *this > v
- // 0 for *this = v
- // -1 for *this < v
-
- const std::pair<typename array_type::const_iterator, typename array_type::const_iterator> mismatch_pair = std::mismatch(data.begin(), data.end(), vd.begin());
-
- const bool is_equal = ((mismatch_pair.first == data.end()) && (mismatch_pair.second == vd.end()));
-
- if (is_equal)
- {
- return 0;
- }
- else
- {
- return ((*mismatch_pair.first > *mismatch_pair.second) ? 1 : -1);
- }
-}
-
template <unsigned Digits10, class ExponentType, class Allocator>
int cpp_dec_float<Digits10, ExponentType, Allocator>::compare(const cpp_dec_float& v) const
{
{
// The signs are the same and the exponents are the same.
// Compare the data.
- const int val_cmp_data = cmp_data(v.data);
+ const int val_cmp_data = compare_ranges(data.cbegin(), v.data.cbegin());
return ((!neg) ? val_cmp_data : -val_cmp_data);
}
if (not_negative_and_is_finite)
{
- if ((data[0u] == static_cast<boost::uint32_t>(1u)) && (exp == static_cast<ExponentType>(0)))
+ if ((data[0u] == static_cast<std::uint32_t>(1u)) && (exp == static_cast<exponent_type>(0)))
{
const typename array_type::const_iterator it_non_zero = std::find_if(data.begin(), data.end(), data_elem_is_non_zero_predicate);
return (it_non_zero == data.end());
}
- else if ((data[0u] == static_cast<boost::uint32_t>(cpp_dec_float_elem_mask - 1)) && (exp == static_cast<ExponentType>(-cpp_dec_float_elem_digits10)))
+ else if ((data[0u] == static_cast<std::uint32_t>(cpp_dec_float_elem_mask - 1)) && (exp == static_cast<exponent_type>(-cpp_dec_float_elem_digits10)))
{
const typename array_type::const_iterator it_non_nine = std::find_if(data.begin(), data.end(), data_elem_is_non_nine_predicate);
return (it_non_nine == data.end());
return true;
}
- if (exp < static_cast<ExponentType>(0))
+ if (exp < static_cast<exponent_type>(0))
{
return false;
} // |*this| < 1.
// Extracts the mantissa and exponent.
exponent = exp;
- boost::uint32_t p10 = static_cast<boost::uint32_t>(1u);
- boost::uint32_t test = data[0u];
+ std::uint32_t p10 = static_cast<std::uint32_t>(1u);
+ std::uint32_t test = data[0u];
for (;;)
{
- test /= static_cast<boost::uint32_t>(10u);
+ test /= static_cast<std::uint32_t>(10u);
- if (test == static_cast<boost::uint32_t>(0u))
+ if (test == static_cast<std::uint32_t>(0u))
{
break;
}
- p10 *= static_cast<boost::uint32_t>(10u);
+ p10 *= static_cast<std::uint32_t>(10u);
++exponent;
}
// Establish the upper bound of limbs for extracting the double.
- const int max_elem_in_double_count = static_cast<int>(static_cast<boost::int32_t>(std::numeric_limits<double>::digits10) / cpp_dec_float_elem_digits10) + (static_cast<int>(static_cast<boost::int32_t>(std::numeric_limits<double>::digits10) % cpp_dec_float_elem_digits10) != 0 ? 1 : 0) + 1;
+ const int max_elem_in_double_count = static_cast<int>(static_cast<std::int32_t>(std::numeric_limits<double>::digits10) / cpp_dec_float_elem_digits10) + (static_cast<int>(static_cast<std::int32_t>(std::numeric_limits<double>::digits10) % cpp_dec_float_elem_digits10) != 0 ? 1 : 0) + 1;
// And make sure this upper bound stays within bounds of the elems.
- const std::size_t max_elem_extract_count = static_cast<std::size_t>((std::min)(static_cast<boost::int32_t>(max_elem_in_double_count), cpp_dec_float_elem_number));
+ const std::size_t max_elem_extract_count = static_cast<std::size_t>((std::min)(static_cast<std::int32_t>(max_elem_in_double_count), cpp_dec_float_elem_number));
// Extract into the mantissa the first limb, extracted as a double.
mantissa = static_cast<double>(data[0]);
: -std::numeric_limits<double>::infinity());
}
- std::stringstream ss;
- ss.imbue(std::locale::classic());
-
- ss << str(std::numeric_limits<double>::digits10 + (2 + 1), std::ios_base::scientific);
-
- double d;
- ss >> d;
-
- return d;
+ return std::strtod(str(std::numeric_limits<double>::digits10 + (2 + 1), std::ios_base::scientific).c_str(), nullptr);
}
template <unsigned Digits10, class ExponentType, class Allocator>
: -std::numeric_limits<long double>::infinity());
}
- std::stringstream ss;
- ss.imbue(std::locale::classic());
-
- ss << str(std::numeric_limits<long double>::digits10 + (2 + 1), std::ios_base::scientific);
-
- long double ld;
- ss >> ld;
-
- return ld;
+ return std::strtold(str(std::numeric_limits<long double>::digits10 + (2 + 1), std::ios_base::scientific).c_str(), nullptr);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-boost::long_long_type cpp_dec_float<Digits10, ExponentType, Allocator>::extract_signed_long_long() const
+long long cpp_dec_float<Digits10, ExponentType, Allocator>::extract_signed_long_long() const
{
// Extracts a signed long long from *this.
// If (x > maximum of long long) or (x < minimum of long long),
// then the maximum or minimum of long long is returned accordingly.
- if (exp < static_cast<ExponentType>(0))
+ if (exp < static_cast<exponent_type>(0))
{
- return static_cast<boost::long_long_type>(0);
+ return static_cast<long long>(0);
}
const bool b_neg = isneg();
- boost::ulong_long_type val;
+ unsigned long long val;
if ((!b_neg) && (compare(long_long_max()) > 0))
{
- return (std::numeric_limits<boost::long_long_type>::max)();
+ return (std::numeric_limits<long long>::max)();
}
else if (b_neg && (compare(long_long_min()) < 0))
{
- return (std::numeric_limits<boost::long_long_type>::min)();
+ return (std::numeric_limits<long long>::min)();
}
else
{
- // Extract the data into an boost::ulong_long_type value.
+ // Extract the data into an unsigned long long value.
cpp_dec_float<Digits10, ExponentType, Allocator> xn(extract_integer_part());
if (xn.isneg())
xn.negate();
- val = static_cast<boost::ulong_long_type>(xn.data[0]);
+ val = static_cast<unsigned long long>(xn.data[0]);
- const boost::int32_t imax = (std::min)(static_cast<boost::int32_t>(static_cast<boost::int32_t>(xn.exp) / cpp_dec_float_elem_digits10), static_cast<boost::int32_t>(cpp_dec_float_elem_number - static_cast<boost::int32_t>(1)));
+ const std::int32_t imax = (std::min)(static_cast<std::int32_t>(static_cast<std::int32_t>(xn.exp) / cpp_dec_float_elem_digits10), static_cast<std::int32_t>(cpp_dec_float_elem_number - static_cast<std::int32_t>(1)));
- for (boost::int32_t i = static_cast<boost::int32_t>(1); i <= imax; i++)
+ for (std::int32_t i = static_cast<std::int32_t>(1); i <= imax; i++)
{
- val *= static_cast<boost::ulong_long_type>(cpp_dec_float_elem_mask);
- val += static_cast<boost::ulong_long_type>(xn.data[i]);
+ val *= static_cast<unsigned long long>(cpp_dec_float_elem_mask);
+ val += static_cast<unsigned long long>(xn.data[static_cast<std::size_t>(i)]);
}
}
if (!b_neg)
{
- return static_cast<boost::long_long_type>(val);
+ return static_cast<long long>(val);
}
else
{
// This strange expression avoids a hardware trap in the corner case
- // that val is the most negative value permitted in boost::long_long_type.
+ // that val is the most negative value permitted in long long.
// See https://svn.boost.org/trac/boost/ticket/9740.
//
- boost::long_long_type sval = static_cast<boost::long_long_type>(val - 1);
+ long long sval = static_cast<long long>(val - 1);
sval = -sval;
--sval;
return sval;
}
template <unsigned Digits10, class ExponentType, class Allocator>
-boost::ulong_long_type cpp_dec_float<Digits10, ExponentType, Allocator>::extract_unsigned_long_long() const
+unsigned long long cpp_dec_float<Digits10, ExponentType, Allocator>::extract_unsigned_long_long() const
{
- // Extracts an boost::ulong_long_type from *this.
- // If x exceeds the maximum of boost::ulong_long_type,
- // then the maximum of boost::ulong_long_type is returned.
- // If x is negative, then the boost::ulong_long_type cast of
+ // Extracts an unsigned long long from *this.
+ // If x exceeds the maximum of unsigned long long,
+ // then the maximum of unsigned long long is returned.
+ // If x is negative, then the unsigned long long cast of
// the long long extracted value is returned.
if (isneg())
{
- return static_cast<boost::ulong_long_type>(extract_signed_long_long());
+ return static_cast<unsigned long long>(extract_signed_long_long());
}
- if (exp < static_cast<ExponentType>(0))
+ if (exp < static_cast<exponent_type>(0))
{
- return static_cast<boost::ulong_long_type>(0u);
+ return static_cast<unsigned long long>(0u);
}
const cpp_dec_float<Digits10, ExponentType, Allocator> xn(extract_integer_part());
- boost::ulong_long_type val;
+ unsigned long long val;
if (xn.compare(ulong_long_max()) > 0)
{
- return (std::numeric_limits<boost::ulong_long_type>::max)();
+ return (std::numeric_limits<unsigned long long>::max)();
}
else
{
- // Extract the data into an boost::ulong_long_type value.
- val = static_cast<boost::ulong_long_type>(xn.data[0]);
+ // Extract the data into an unsigned long long value.
+ val = static_cast<unsigned long long>(xn.data[0]);
- const boost::int32_t imax = (std::min)(static_cast<boost::int32_t>(static_cast<boost::int32_t>(xn.exp) / cpp_dec_float_elem_digits10), static_cast<boost::int32_t>(cpp_dec_float_elem_number - static_cast<boost::int32_t>(1)));
+ const std::int32_t imax = (std::min)(static_cast<std::int32_t>(static_cast<std::int32_t>(xn.exp) / cpp_dec_float_elem_digits10), static_cast<std::int32_t>(cpp_dec_float_elem_number - static_cast<std::int32_t>(1)));
- for (boost::int32_t i = static_cast<boost::int32_t>(1); i <= imax; i++)
+ for (std::int32_t i = static_cast<std::int32_t>(1); i <= imax; i++)
{
- val *= static_cast<boost::ulong_long_type>(cpp_dec_float_elem_mask);
- val += static_cast<boost::ulong_long_type>(xn.data[i]);
+ val *= static_cast<unsigned long long>(cpp_dec_float_elem_mask);
+ val += static_cast<unsigned long long>(xn.data[i]);
}
}
return val;
}
+#ifdef BOOST_HAS_INT128
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+int128_type cpp_dec_float<Digits10, ExponentType, Allocator>::extract_signed_int128() const
+{
+ // Extracts a signed __int128 from *this.
+ // If (x > maximum of __int128) or (x < minimum of __int128),
+ // then the maximum or minimum of long long is returned accordingly.
+
+ if (exp < static_cast<exponent_type>(0))
+ {
+ return static_cast<int128_type>(0);
+ }
+
+ const bool b_neg = isneg();
+ cpp_dec_float<Digits10, ExponentType, Allocator> i128max;
+ i128max = ((~static_cast<uint128_type>(0)) >> 1);
+ cpp_dec_float<Digits10, ExponentType, Allocator> i128min;
+ i128min = (-1 - static_cast<int128_type>((static_cast<uint128_type>(1) << 127) - 1));
+
+ uint128_type val;
+
+ if ((!b_neg) && (compare(i128max) > 0))
+ {
+ return ((~static_cast<uint128_type>(0)) >> 1);
+ }
+ else if (b_neg && (compare(i128min) < 0))
+ {
+ return (-1 - static_cast<int128_type>((static_cast<uint128_type>(1) << 127) - 1));
+ }
+ else
+ {
+ // Extract the data into an unsigned long long value.
+ cpp_dec_float<Digits10, ExponentType, Allocator> xn(extract_integer_part());
+ if (xn.isneg())
+ xn.negate();
+
+ val = static_cast<uint128_type>(xn.data[0]);
+
+ const std::int32_t imax = (std::min)(static_cast<std::int32_t>(static_cast<std::int32_t>(xn.exp) / cpp_dec_float_elem_digits10), static_cast<std::int32_t>(cpp_dec_float_elem_number - static_cast<std::int32_t>(1)));
+
+ for (std::int32_t i = static_cast<std::int32_t>(1); i <= imax; i++)
+ {
+ val *= static_cast<uint128_type>(cpp_dec_float_elem_mask);
+ val += static_cast<uint128_type>(xn.data[static_cast<std::size_t>(i)]);
+ }
+ }
+
+ if (!b_neg)
+ {
+ return static_cast<int128_type>(val);
+ }
+ else
+ {
+ // This strange expression avoids a hardware trap in the corner case
+ // that val is the most negative value permitted in long long.
+ // See https://svn.boost.org/trac/boost/ticket/9740.
+ //
+ int128_type sval = static_cast<int128_type>(val - 1);
+ sval = -sval;
+ --sval;
+ return sval;
+ }
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+uint128_type cpp_dec_float<Digits10, ExponentType, Allocator>::extract_unsigned_int128() const
+{
+ // Extracts an unsigned __int128 from *this.
+ // If x exceeds the maximum of unsigned __int128,
+ // then the maximum of unsigned __int128 is returned.
+ // If x is negative, then the unsigned __int128 cast of
+ // the __int128 extracted value is returned.
+
+ if (isneg())
+ {
+ return static_cast<uint128_type>(extract_signed_int128());
+ }
+
+ if (exp < static_cast<exponent_type>(0))
+ {
+ return 0u;
+ }
+
+ const cpp_dec_float<Digits10, ExponentType, Allocator> xn(extract_integer_part());
+ cpp_dec_float<Digits10, ExponentType, Allocator> i128max;
+ i128max = (~static_cast<uint128_type>(0));
+
+ uint128_type val;
+
+ if (xn.compare(i128max) > 0)
+ {
+ return (~static_cast<uint128_type>(0));
+ }
+ else
+ {
+ // Extract the data into an unsigned long long value.
+ val = static_cast<uint128_type>(xn.data[0]);
+
+ const std::int32_t imax = (std::min)(static_cast<std::int32_t>(static_cast<std::int32_t>(xn.exp) / cpp_dec_float_elem_digits10), static_cast<std::int32_t>(cpp_dec_float_elem_number - static_cast<std::int32_t>(1)));
+
+ for (std::int32_t i = static_cast<std::int32_t>(1); i <= imax; i++)
+ {
+ val *= static_cast<uint128_type>(cpp_dec_float_elem_mask);
+ val += static_cast<uint128_type>(xn.data[i]);
+ }
+ }
+
+ return val;
+}
+
+#endif
+
template <unsigned Digits10, class ExponentType, class Allocator>
cpp_dec_float<Digits10, ExponentType, Allocator> cpp_dec_float<Digits10, ExponentType, Allocator>::extract_integer_part() const
{
const size_t last_clear = static_cast<size_t>(cpp_dec_float_elem_number);
if (first_clear < last_clear)
- std::fill(x.data.begin() + first_clear, x.data.begin() + last_clear, static_cast<boost::uint32_t>(0u));
+ std::fill(x.data.begin() + first_clear, x.data.begin() + last_clear, static_cast<std::uint32_t>(0u));
return x;
}
template <unsigned Digits10, class ExponentType, class Allocator>
-std::string cpp_dec_float<Digits10, ExponentType, Allocator>::str(boost::intmax_t number_of_digits, std::ios_base::fmtflags f) const
+std::string cpp_dec_float<Digits10, ExponentType, Allocator>::str(std::intmax_t number_of_digits, std::ios_base::fmtflags f) const
{
if ((this->isinf)())
{
}
std::string str;
- boost::intmax_t org_digits(number_of_digits);
- ExponentType my_exp = order();
+ std::intmax_t org_digits(number_of_digits);
+ exponent_type my_exp = order();
- if (number_of_digits == 0)
- number_of_digits = cpp_dec_float_total_digits10;
+ if (!(f & std::ios_base::fixed) && (number_of_digits == 0))
+ number_of_digits = cpp_dec_float_max_digits10;
if (f & std::ios_base::fixed)
{
// We only get here if the output format is "fixed" and we just need to
// round the first non-zero digit.
number_of_digits -= my_exp + 1; // reset to original value
- str.insert(static_cast<std::string::size_type>(0), std::string::size_type(number_of_digits), '0');
- have_leading_zeros = true;
+ if (number_of_digits)
+ {
+ str.insert(static_cast<std::string::size_type>(0), std::string::size_type(number_of_digits), '0');
+ have_leading_zeros = true;
+ }
}
if (number_of_digits < 0)
if (str.length() > static_cast<std::string::size_type>(number_of_digits))
{
// Get the digit after the last needed digit for rounding
- const boost::uint32_t round = static_cast<boost::uint32_t>(static_cast<boost::uint32_t>(str[static_cast<std::string::size_type>(number_of_digits)]) - static_cast<boost::uint32_t>('0'));
+ const std::uint32_t round = static_cast<std::uint32_t>(static_cast<std::uint32_t>(str[static_cast<std::string::size_type>(number_of_digits)]) - static_cast<std::uint32_t>('0'));
bool need_round_up = round >= 5u;
if (round == 5u)
{
- const boost::uint32_t ix = static_cast<boost::uint32_t>(static_cast<boost::uint32_t>(str[static_cast<std::string::size_type>(number_of_digits - 1)]) - static_cast<boost::uint32_t>('0'));
+ const std::uint32_t ix = number_of_digits == 0 ? 0 : static_cast<std::uint32_t>(static_cast<std::uint32_t>(str[static_cast<std::string::size_type>(number_of_digits - 1)]) - static_cast<std::uint32_t>('0'));
if ((ix & 1u) == 0)
{
// We have an even digit followed by a 5, so we might not actually need to round up
if (need_round_up)
{
- std::size_t ix = static_cast<std::size_t>(str.length() - 1u);
-
- // Every trailing 9 must be rounded up
- while (ix && (static_cast<boost::int32_t>(str.at(ix)) - static_cast<boost::int32_t>('0') == static_cast<boost::int32_t>(9)))
+ if (str.size())
{
- str.at(ix) = static_cast<char>('0');
- --ix;
- }
+ std::size_t ix = static_cast<std::size_t>(str.length() - 1u);
- if (!ix)
- {
- // There were nothing but trailing nines.
- if (static_cast<boost::int32_t>(static_cast<boost::int32_t>(str.at(ix)) - static_cast<boost::int32_t>(0x30)) == static_cast<boost::int32_t>(9))
+ // Every trailing 9 must be rounded up
+ while (ix && (static_cast<std::int32_t>(str.at(ix)) - static_cast<std::int32_t>('0') == static_cast<std::int32_t>(9)))
+ {
+ str.at(ix) = static_cast<char>('0');
+ --ix;
+ }
+
+ if (!ix)
{
- // Increment up to the next order and adjust exponent.
- str.at(ix) = static_cast<char>('1');
- ++my_exp;
+ // There were nothing but trailing nines.
+ if (static_cast<std::int32_t>(static_cast<std::int32_t>(str.at(ix)) - static_cast<std::int32_t>(0x30)) == static_cast<std::int32_t>(9))
+ {
+ // Increment up to the next order and adjust exponent.
+ str.at(ix) = static_cast<char>('1');
+ ++my_exp;
+ }
+ else
+ {
+ // Round up this digit.
+ ++str.at(ix);
+ }
}
else
{
- // Round up this digit.
- ++str.at(ix);
+ // Round up the last digit.
+ ++str[ix];
}
}
else
{
- // Round up the last digit.
- ++str[ix];
+ str = "1";
+ ++my_exp;
}
}
}
// the code complexity (and perhaps the run-time) of rd_string().
// Get a possible exponent and remove it.
- exp = static_cast<ExponentType>(0);
+ exp = static_cast<exponent_type>(0);
std::size_t pos;
if (((pos = str.find('e')) != std::string::npos) || ((pos = str.find('E')) != std::string::npos))
{
// Remove the exponent part from the string.
- exp = boost::lexical_cast<ExponentType>(static_cast<const char*>(str.c_str() + (pos + 1u)));
+ #ifndef BOOST_MP_STANDALONE
+ exp = boost::lexical_cast<exponent_type>(static_cast<const char*>(str.c_str() + (pos + 1u)));
+ #else
+ exp = static_cast<exponent_type>(std::atoll(static_cast<const char*>(str.c_str() + (pos + 1u))));
+ #endif
+
str = str.substr(static_cast<std::size_t>(0u), pos);
}
if (rit_non_zero != static_cast<std::string::const_reverse_iterator>(str.rbegin()))
{
- const std::string::size_type ofs = str.length() - std::distance<std::string::const_reverse_iterator>(str.rbegin(), rit_non_zero);
- str.erase(str.begin() + ofs, str.end());
+ const std::string::size_type ofs =
+ static_cast<std::string::size_type>
+ (
+ static_cast<std::ptrdiff_t>(str.length())
+ - std::distance<std::string::const_reverse_iterator>(str.rbegin(), rit_non_zero)
+ );
+ str.erase(str.begin() + static_cast<std::ptrdiff_t>(ofs), str.end());
}
// Check if the input is identically zero.
if (str.at(static_cast<std::size_t>(1u)) == static_cast<char>('0'))
{
- delta_exp = std::distance<std::string::const_iterator>(str.begin() + 1u, it_non_zero);
+ delta_exp = static_cast<std::size_t>(std::distance<std::string::const_iterator>(str.begin() + 1u, it_non_zero));
}
// Bring one single digit into the mantissa and adjust the exponent accordingly.
str.erase(str.begin(), it_non_zero);
str.insert(static_cast<std::string::size_type>(1u), ".");
- exp -= static_cast<ExponentType>(delta_exp + 1u);
+ exp -= static_cast<exponent_type>(delta_exp + 1u);
}
}
else
}
// Shift the decimal point such that the exponent is an even multiple of cpp_dec_float_elem_digits10.
- std::size_t n_shift = static_cast<std::size_t>(0u);
- const std::size_t n_exp_rem = static_cast<std::size_t>(exp % static_cast<ExponentType>(cpp_dec_float_elem_digits10));
+ std::ptrdiff_t n_shift = static_cast<std::ptrdiff_t>(0);
+ const std::ptrdiff_t n_exp_rem = static_cast<std::ptrdiff_t>(exp % static_cast<exponent_type>(cpp_dec_float_elem_digits10));
- if ((exp % static_cast<ExponentType>(cpp_dec_float_elem_digits10)) != static_cast<ExponentType>(0))
+ if((exp % static_cast<exponent_type>(cpp_dec_float_elem_digits10)) != static_cast<exponent_type>(0))
{
- n_shift = ((exp < static_cast<ExponentType>(0))
- ? static_cast<std::size_t>(n_exp_rem + static_cast<std::size_t>(cpp_dec_float_elem_digits10))
- : static_cast<std::size_t>(n_exp_rem));
+ n_shift = ((exp < static_cast<exponent_type>(0))
+ ? static_cast<std::ptrdiff_t>(n_exp_rem + static_cast<std::ptrdiff_t>(cpp_dec_float_elem_digits10))
+ : static_cast<std::ptrdiff_t>(n_exp_rem));
}
// Make sure that there are enough digits for the decimal point shift.
pos = str.find(static_cast<char>('.'));
- std::size_t pos_plus_one = static_cast<std::size_t>(pos + 1u);
+ std::ptrdiff_t pos_plus_one = static_cast<std::ptrdiff_t>(pos + 1);
- if ((str.length() - pos_plus_one) < n_shift)
+ if ((static_cast<std::ptrdiff_t>(str.length()) - pos_plus_one) < n_shift)
{
- const std::size_t sz = static_cast<std::size_t>(n_shift - (str.length() - pos_plus_one));
+ const std::ptrdiff_t sz = static_cast<std::ptrdiff_t>(n_shift - (static_cast<std::ptrdiff_t>(str.length()) - pos_plus_one));
- str.append(std::string(sz, static_cast<char>('0')));
+ str.append(std::string(static_cast<std::string::size_type>(sz), static_cast<char>('0')));
}
// Do the decimal point shift.
- if (n_shift != static_cast<std::size_t>(0u))
+ if (n_shift != static_cast<std::ptrdiff_t>(0))
{
str.insert(static_cast<std::string::size_type>(pos_plus_one + n_shift), ".");
- str.erase(pos, static_cast<std::string::size_type>(1u));
+ str.erase(pos, static_cast<std::ptrdiff_t>(1));
- exp -= static_cast<ExponentType>(n_shift);
+ exp -= static_cast<exponent_type>(n_shift);
}
// Cut the size of the mantissa to <= cpp_dec_float_elem_digits10.
pos = str.find(static_cast<char>('.'));
- pos_plus_one = static_cast<std::size_t>(pos + 1u);
+ pos_plus_one = static_cast<std::ptrdiff_t>(pos + 1u);
if (pos > static_cast<std::size_t>(cpp_dec_float_elem_digits10))
{
- const boost::int32_t n_pos = static_cast<boost::int32_t>(pos);
- const boost::int32_t n_rem_is_zero = ((static_cast<boost::int32_t>(n_pos % cpp_dec_float_elem_digits10) == static_cast<boost::int32_t>(0)) ? static_cast<boost::int32_t>(1) : static_cast<boost::int32_t>(0));
- const boost::int32_t n = static_cast<boost::int32_t>(static_cast<boost::int32_t>(n_pos / cpp_dec_float_elem_digits10) - n_rem_is_zero);
+ const std::int32_t n_pos = static_cast<std::int32_t>(pos);
+ const std::int32_t n_rem_is_zero = ((static_cast<std::int32_t>(n_pos % cpp_dec_float_elem_digits10) == static_cast<std::int32_t>(0)) ? static_cast<std::int32_t>(1) : static_cast<std::int32_t>(0));
+ const std::int32_t n = static_cast<std::int32_t>(static_cast<std::int32_t>(n_pos / cpp_dec_float_elem_digits10) - n_rem_is_zero);
- str.insert(static_cast<std::size_t>(static_cast<boost::int32_t>(n_pos - static_cast<boost::int32_t>(n * cpp_dec_float_elem_digits10))), ".");
+ str.insert(static_cast<std::size_t>(static_cast<std::int32_t>(n_pos - static_cast<std::int32_t>(n * cpp_dec_float_elem_digits10))), ".");
- str.erase(pos_plus_one, static_cast<std::size_t>(1u));
+ str.erase(static_cast<std::size_t>(pos_plus_one), static_cast<std::size_t>(1u));
- exp += static_cast<ExponentType>(static_cast<ExponentType>(n) * static_cast<ExponentType>(cpp_dec_float_elem_digits10));
+ exp += static_cast<exponent_type>(static_cast<exponent_type>(n) * static_cast<exponent_type>(cpp_dec_float_elem_digits10));
}
// Pad the decimal part such that its value is an even
// multiple of cpp_dec_float_elem_digits10.
pos = str.find(static_cast<char>('.'));
- pos_plus_one = static_cast<std::size_t>(pos + 1u);
+ pos_plus_one = static_cast<std::ptrdiff_t>(pos + 1u);
- const boost::int32_t n_dec = static_cast<boost::int32_t>(static_cast<boost::int32_t>(str.length() - 1u) - static_cast<boost::int32_t>(pos));
- const boost::int32_t n_rem = static_cast<boost::int32_t>(n_dec % cpp_dec_float_elem_digits10);
+ // Throws an error for a strange construction like 3.14L
+ if(pos != std::string::npos && (str.back() == 'L' || str.back() == 'l' || str.back() == 'u' || str.back() == 'U'))
+ {
+ BOOST_MP_THROW_EXCEPTION(std::runtime_error("Can not construct a floating point with an integer literal"));
+ }
- boost::int32_t n_cnt = ((n_rem != static_cast<boost::int32_t>(0))
- ? static_cast<boost::int32_t>(cpp_dec_float_elem_digits10 - n_rem)
- : static_cast<boost::int32_t>(0));
+ const std::int32_t n_dec = static_cast<std::int32_t>(static_cast<std::int32_t>(str.length() - 1u) - static_cast<std::int32_t>(pos));
+ const std::int32_t n_rem = static_cast<std::int32_t>(n_dec % cpp_dec_float_elem_digits10);
- if (n_cnt != static_cast<boost::int32_t>(0))
+ std::int32_t n_cnt = ((n_rem != static_cast<std::int32_t>(0))
+ ? static_cast<std::int32_t>(cpp_dec_float_elem_digits10 - n_rem)
+ : static_cast<std::int32_t>(0));
+
+ if (n_cnt != static_cast<std::int32_t>(0))
{
str.append(static_cast<std::size_t>(n_cnt), static_cast<char>('0'));
}
if (static_cast<std::size_t>(str.length() - pos) > max_dec)
{
str = str.substr(static_cast<std::size_t>(0u),
- static_cast<std::size_t>(pos_plus_one + max_dec));
+ static_cast<std::size_t>(pos_plus_one + static_cast<std::ptrdiff_t>(max_dec)));
}
// Now the input string has the standard cpp_dec_float<Digits10, ExponentType, Allocator> input form.
// (See the comment above.)
// Set all the data elements to 0.
- std::fill(data.begin(), data.end(), static_cast<boost::uint32_t>(0u));
+ std::fill(data.begin(), data.end(), static_cast<std::uint32_t>(0u));
// Extract the data.
// First get the digits to the left of the decimal point...
- data[0u] = boost::lexical_cast<boost::uint32_t>(str.substr(static_cast<std::size_t>(0u), pos));
+ data[0u] = static_cast<std::uint32_t>(std::stol(str.substr(static_cast<std::size_t>(0u), pos)));
// ...then get the remaining digits to the right of the decimal point.
- const std::string::size_type i_end = ((str.length() - pos_plus_one) / static_cast<std::string::size_type>(cpp_dec_float_elem_digits10));
+ const std::string::size_type i_end =
+ (
+ static_cast<std::string::size_type>(str.length() - static_cast<std::string::size_type>(pos_plus_one))
+ / static_cast<std::string::size_type>(cpp_dec_float_elem_digits10)
+ );
for (std::string::size_type i = static_cast<std::string::size_type>(0u); i < i_end; i++)
{
- const std::string::const_iterator it = str.begin() + pos_plus_one + (i * static_cast<std::string::size_type>(cpp_dec_float_elem_digits10));
-
- data[i + 1u] = boost::lexical_cast<boost::uint32_t>(std::string(it, it + static_cast<std::string::size_type>(cpp_dec_float_elem_digits10)));
+ const std::string::const_iterator it =
+ str.begin()
+ + static_cast<std::ptrdiff_t>
+ (
+ static_cast<std::string::size_type>(pos_plus_one)
+ + static_cast<std::string::size_type>(i * static_cast<std::string::size_type>(cpp_dec_float_elem_digits10))
+ );
+
+ data[i + 1u] = static_cast<std::uint32_t>(std::stol(std::string(it, it + static_cast<std::string::size_type>(cpp_dec_float_elem_digits10))));
}
// Check for overflow...
// Check for identity with the minimum value.
cpp_dec_float<Digits10, ExponentType, Allocator> test = *this;
- test.exp = static_cast<ExponentType>(0);
+ test.exp = static_cast<exponent_type>(0);
if (test.isone())
{
#ifndef BOOST_NO_EXCEPTIONS
}
+ #ifndef BOOST_MP_STANDALONE
catch (const bad_lexical_cast&)
+ #else
+ catch (const std::exception&)
+ #endif
{
// Rethrow with better error message:
std::string msg = "Unable to parse the string \"";
if (mantissa_is_iszero)
{
- std::fill(data.begin(), data.end(), static_cast<boost::uint32_t>(0u));
+ std::fill(data.begin(), data.end(), static_cast<std::uint32_t>(0u));
return;
}
const bool b_neg = (mantissa < 0.0);
double d = ((!b_neg) ? mantissa : -mantissa);
- ExponentType e = exponent;
+ exponent_type e = exponent;
while (d > 10.0)
{
--e;
}
- boost::int32_t shift = static_cast<boost::int32_t>(e % static_cast<boost::int32_t>(cpp_dec_float_elem_digits10));
+ std::int32_t shift = static_cast<std::int32_t>(e % static_cast<std::int32_t>(cpp_dec_float_elem_digits10));
- while (static_cast<boost::int32_t>(shift-- % cpp_dec_float_elem_digits10) != static_cast<boost::int32_t>(0))
+ while (static_cast<std::int32_t>(shift-- % cpp_dec_float_elem_digits10) != static_cast<std::int32_t>(0))
{
d *= 10.0;
--e;
exp = e;
neg = b_neg;
- std::fill(data.begin(), data.end(), static_cast<boost::uint32_t>(0u));
+ std::fill(data.begin(), data.end(), static_cast<std::uint32_t>(0u));
- static const boost::int32_t digit_ratio = static_cast<boost::int32_t>(static_cast<boost::int32_t>(std::numeric_limits<double>::digits10) / static_cast<boost::int32_t>(cpp_dec_float_elem_digits10));
- static const boost::int32_t digit_loops = static_cast<boost::int32_t>(digit_ratio + static_cast<boost::int32_t>(2));
+ constexpr std::int32_t digit_ratio = static_cast<std::int32_t>(static_cast<std::int32_t>(std::numeric_limits<double>::digits10) / static_cast<std::int32_t>(cpp_dec_float_elem_digits10));
+ constexpr std::int32_t digit_loops = static_cast<std::int32_t>(digit_ratio + static_cast<std::int32_t>(2));
- for (boost::int32_t i = static_cast<boost::int32_t>(0); i < digit_loops; i++)
+ for (std::int32_t i = static_cast<std::int32_t>(0); i < digit_loops; i++)
{
- boost::uint32_t n = static_cast<boost::uint32_t>(static_cast<boost::uint64_t>(d));
- data[i] = static_cast<boost::uint32_t>(n);
+ std::uint32_t n = static_cast<std::uint32_t>(static_cast<std::uint64_t>(d));
+ data[static_cast<std::size_t>(i)] = static_cast<std::uint32_t>(n);
d -= static_cast<double>(n);
d *= static_cast<double>(cpp_dec_float_elem_mask);
}
template <unsigned Digits10, class ExponentType, class Allocator>
template <class Float>
-typename boost::enable_if_c<boost::is_floating_point<Float>::value, cpp_dec_float<Digits10, ExponentType, Allocator>&>::type cpp_dec_float<Digits10, ExponentType, Allocator>::operator=(Float a)
+typename std::enable_if<std::is_floating_point<Float>::value, cpp_dec_float<Digits10, ExponentType, Allocator>&>::type cpp_dec_float<Digits10, ExponentType, Allocator>::operator=(Float a)
{
- // Christopher Kormanyos's original code used a cast to boost::long_long_type here, but that fails
- // when long double has more digits than a boost::long_long_type.
+ // Christopher Kormanyos's original code used a cast to long long here, but that fails
+ // when long double has more digits than a long long.
+ BOOST_MP_FLOAT128_USING
using std::floor;
- using std::frexp;
+ using std::frexp;
using std::ldexp;
if (a == 0)
if (a == 1)
return *this = one();
- if ((boost::math::isinf)(a))
+ if (BOOST_MP_ISINF(a))
{
*this = inf();
if (a < 0)
return *this;
}
- if ((boost::math::isnan)(a))
+ if (BOOST_MP_ISNAN(a))
return *this = nan();
int e;
f = frexp(a, &e);
// See https://svn.boost.org/trac/boost/ticket/10924 for an example of why this may go wrong:
- BOOST_ASSERT((boost::math::isfinite)(f));
+ BOOST_MP_ASSERT(!BOOST_MP_ISNAN(f) && !BOOST_MP_ISINF(f));
- static const int shift = std::numeric_limits<int>::digits - 1;
+ constexpr const int shift = std::numeric_limits<int>::digits - 1;
while (f)
{
// extract int sized bits from f:
f = ldexp(f, shift);
- BOOST_ASSERT((boost::math::isfinite)(f));
+ BOOST_MP_ASSERT(!BOOST_MP_ISNAN(f) && !BOOST_MP_ISINF(f));
term = floor(f);
e -= shift;
*this *= pow2(shift);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-void cpp_dec_float<Digits10, ExponentType, Allocator>::from_unsigned_long_long(const boost::ulong_long_type u)
+void cpp_dec_float<Digits10, ExponentType, Allocator>::from_unsigned_long_long(const unsigned long long u)
{
- std::fill(data.begin(), data.end(), static_cast<boost::uint32_t>(0u));
+ std::fill(data.begin(), data.end(), static_cast<std::uint32_t>(0u));
- exp = static_cast<ExponentType>(0);
+ exp = static_cast<exponent_type>(0);
neg = false;
fpclass = cpp_dec_float_finite;
prec_elem = cpp_dec_float_elem_number;
std::size_t i = static_cast<std::size_t>(0u);
- boost::ulong_long_type uu = u;
+ unsigned long long uu = u;
- boost::uint32_t temp[(std::numeric_limits<boost::ulong_long_type>::digits10 / static_cast<int>(cpp_dec_float_elem_digits10)) + 3] = {static_cast<boost::uint32_t>(0u)};
+ std::uint32_t temp[(std::numeric_limits<unsigned long long>::digits10 / static_cast<int>(cpp_dec_float_elem_digits10)) + 3] = {static_cast<std::uint32_t>(0u)};
- while (uu != static_cast<boost::ulong_long_type>(0u))
+ while (uu != static_cast<unsigned long long>(0u))
{
- temp[i] = static_cast<boost::uint32_t>(uu % static_cast<boost::ulong_long_type>(cpp_dec_float_elem_mask));
- uu = static_cast<boost::ulong_long_type>(uu / static_cast<boost::ulong_long_type>(cpp_dec_float_elem_mask));
+ temp[i] = static_cast<std::uint32_t>(uu % static_cast<unsigned long long>(cpp_dec_float_elem_mask));
+ uu = static_cast<unsigned long long>(uu / static_cast<unsigned long long>(cpp_dec_float_elem_mask));
++i;
}
if (i > static_cast<std::size_t>(1u))
{
- exp += static_cast<ExponentType>((i - 1u) * static_cast<std::size_t>(cpp_dec_float_elem_digits10));
+ exp += static_cast<exponent_type>((i - 1u) * static_cast<std::size_t>(cpp_dec_float_elem_digits10));
}
std::reverse(temp, temp + i);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-boost::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::mul_loop_uv(boost::uint32_t* const u, const boost::uint32_t* const v, const boost::int32_t p)
+template <typename InputIteratorTypeLeft, typename InputIteratorTypeRight>
+int cpp_dec_float<Digits10, ExponentType, Allocator>::compare_ranges(InputIteratorTypeLeft a,
+ InputIteratorTypeRight b,
+ const std::uint32_t count)
{
- //
- // There is a limit on how many limbs this algorithm can handle without dropping digits
- // due to overflow in the carry, it is:
- //
- // FLOOR( (2^64 - 1) / (10^8 * 10^8) ) == 1844
- //
- BOOST_STATIC_ASSERT_MSG(cpp_dec_float_elem_number < 1800, "Too many limbs in the data type for the multiplication algorithm - unsupported precision in cpp_dec_float.");
+ using local_iterator_left_type = InputIteratorTypeLeft;
+ using local_iterator_right_type = InputIteratorTypeRight;
+
+ local_iterator_left_type begin_a(a);
+ local_iterator_left_type end_a (a + count);
+ local_iterator_right_type begin_b(b);
+ local_iterator_right_type end_b (b + count);
+
+ const auto mismatch_pair = std::mismatch(begin_a, end_a, begin_b);
+
+ int n_return;
+
+ if((mismatch_pair.first != end_a) || (mismatch_pair.second != end_b))
+ {
+ const typename std::iterator_traits<InputIteratorTypeLeft>::value_type left = *mismatch_pair.first;
+ const typename std::iterator_traits<InputIteratorTypeRight>::value_type right = *mismatch_pair.second;
+
+ n_return = ((left > right) ? 1 : -1);
+ }
+ else
+ {
+ n_return = 0;
+ }
+
+ return n_return;
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+std::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::eval_add_n( std::uint32_t* r,
+ const std::uint32_t* u,
+ const std::uint32_t* v,
+ const std::int32_t count)
+{
+ // Addition algorithm
+ std::uint_fast8_t carry = static_cast<std::uint_fast8_t>(0U);
+
+ for(std::int32_t j = static_cast<std::int32_t>(count - static_cast<std::int32_t>(1)); j >= static_cast<std::int32_t>(0); --j)
+ {
+ const std::uint32_t t = static_cast<std::uint32_t>(static_cast<std::uint32_t>(u[j] + v[j]) + carry);
+
+ carry = ((t >= static_cast<std::uint32_t>(cpp_dec_float_elem_mask)) ? static_cast<std::uint_fast8_t>(1U)
+ : static_cast<std::uint_fast8_t>(0U));
+
+ r[j] = static_cast<std::uint32_t>(t - ((carry != 0U) ? static_cast<std::uint32_t>(cpp_dec_float_elem_mask)
+ : static_cast<std::uint32_t>(0U)));
+ }
+
+ return static_cast<std::uint32_t>(carry);
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+std::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::eval_subtract_n( std::uint32_t* r,
+ const std::uint32_t* u,
+ const std::uint32_t* v,
+ const std::int32_t count)
+{
+ // Subtraction algorithm
+ std::int_fast8_t borrow = static_cast<std::int_fast8_t>(0);
+
+ for(std::uint32_t j = static_cast<std::uint32_t>(count - static_cast<std::int32_t>(1)); static_cast<std::int32_t>(j) >= static_cast<std::int32_t>(0); --j)
+ {
+ std::int32_t t = static_cast<std::int32_t>( static_cast<std::int32_t>(u[j])
+ - static_cast<std::int32_t>(v[j])) - borrow;
+
+ // Underflow? Borrow?
+ if(t < 0)
+ {
+ // Yes, underflow and borrow
+ t += static_cast<std::int32_t>(cpp_dec_float_elem_mask);
+ borrow = static_cast<std::int_fast8_t>(1);
+ }
+ else
+ {
+ borrow = static_cast<std::int_fast8_t>(0);
+ }
+
+ r[j] = static_cast<std::uint32_t>(t);
+ }
- boost::uint64_t carry = static_cast<boost::uint64_t>(0u);
+ return static_cast<std::uint32_t>(borrow);
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+void cpp_dec_float<Digits10, ExponentType, Allocator>::eval_multiply_n_by_n_to_2n( std::uint32_t* r,
+ const std::uint32_t* a,
+ const std::uint32_t* b,
+ const std::uint32_t count)
+{
+ using local_limb_type = std::uint32_t;
+
+ using local_double_limb_type = std::uint64_t;
+
+ using local_reverse_iterator_type = std::reverse_iterator<local_limb_type*>;
+
+ local_reverse_iterator_type ir(r + (count * 2));
- for (boost::int32_t j = static_cast<boost::int32_t>(p - 1u); j >= static_cast<boost::int32_t>(0); j--)
+ local_double_limb_type carry = 0U;
+
+ for(std::int32_t j = static_cast<std::int32_t>(count - 1); j >= static_cast<std::int32_t>(1); --j)
{
- boost::uint64_t sum = carry;
+ local_double_limb_type sum = carry;
- for (boost::int32_t i = j; i >= static_cast<boost::int32_t>(0); i--)
+ for(std::int32_t i = static_cast<std::int32_t>(count - 1); i >= j; --i)
{
- sum += static_cast<boost::uint64_t>(u[j - i] * static_cast<boost::uint64_t>(v[i]));
+ sum += local_double_limb_type(
+ local_double_limb_type(a[i]) * b[ static_cast<std::int32_t>(count - 1)
+ - static_cast<std::int32_t>(i - j)]);
}
- u[j] = static_cast<boost::uint32_t>(sum % static_cast<boost::uint32_t>(cpp_dec_float_elem_mask));
- carry = static_cast<boost::uint64_t>(sum / static_cast<boost::uint32_t>(cpp_dec_float_elem_mask));
+ carry = static_cast<local_double_limb_type>(sum / static_cast<local_limb_type> (cpp_dec_float_elem_mask));
+ *ir++ = static_cast<local_limb_type> (sum - static_cast<local_double_limb_type>(static_cast<local_double_limb_type>(carry) * static_cast<local_limb_type>(cpp_dec_float_elem_mask)));
}
- return static_cast<boost::uint32_t>(carry);
+ for(std::int32_t j = static_cast<std::int32_t>(count - 1); j >= static_cast<std::int32_t>(0); --j)
+ {
+ local_double_limb_type sum = carry;
+
+ for(std::int32_t i = j; i >= static_cast<std::int32_t>(0); --i)
+ {
+ sum += static_cast<local_double_limb_type>(a[j - i] * static_cast<local_double_limb_type>(b[i]));
+ }
+
+ carry = static_cast<local_double_limb_type>(sum / static_cast<local_limb_type>(cpp_dec_float_elem_mask));
+ *ir++ = static_cast<local_limb_type> (sum - static_cast<local_double_limb_type>(static_cast<local_double_limb_type>(carry) * static_cast<local_limb_type>(cpp_dec_float_elem_mask)));
+ }
+
+ *ir = static_cast<local_limb_type>(carry);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-boost::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::mul_loop_n(boost::uint32_t* const u, boost::uint32_t n, const boost::int32_t p)
+std::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::mul_loop_n(std::uint32_t* const u, std::uint32_t n, const std::int32_t p)
{
- boost::uint64_t carry = static_cast<boost::uint64_t>(0u);
+ std::uint64_t carry = static_cast<std::uint64_t>(0u);
// Multiplication loop.
- for (boost::int32_t j = p - 1; j >= static_cast<boost::int32_t>(0); j--)
- {
- const boost::uint64_t t = static_cast<boost::uint64_t>(carry + static_cast<boost::uint64_t>(u[j] * static_cast<boost::uint64_t>(n)));
- carry = static_cast<boost::uint64_t>(t / static_cast<boost::uint32_t>(cpp_dec_float_elem_mask));
- u[j] = static_cast<boost::uint32_t>(t - static_cast<boost::uint64_t>(static_cast<boost::uint32_t>(cpp_dec_float_elem_mask) * static_cast<boost::uint64_t>(carry)));
- }
-
- return static_cast<boost::uint32_t>(carry);
-}
-
-template <unsigned Digits10, class ExponentType, class Allocator>
-boost::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::div_loop_n(boost::uint32_t* const u, boost::uint32_t n, const boost::int32_t p)
-{
- boost::uint64_t prev = static_cast<boost::uint64_t>(0u);
-
- for (boost::int32_t j = static_cast<boost::int32_t>(0); j < p; j++)
- {
- const boost::uint64_t t = static_cast<boost::uint64_t>(u[j] + static_cast<boost::uint64_t>(prev * static_cast<boost::uint32_t>(cpp_dec_float_elem_mask)));
- u[j] = static_cast<boost::uint32_t>(t / n);
- prev = static_cast<boost::uint64_t>(t - static_cast<boost::uint64_t>(n * static_cast<boost::uint64_t>(u[j])));
- }
-
- return static_cast<boost::uint32_t>(prev);
-}
-
-template <unsigned Digits10, class ExponentType, class Allocator>
-cpp_dec_float<Digits10, ExponentType, Allocator> cpp_dec_float<Digits10, ExponentType, Allocator>::pow2(const boost::long_long_type p)
-{
- // Create a static const table of p^2 for -128 < p < +128.
- // Note: The size of this table must be odd-numbered and
- // symmetric about 0.
- init.do_nothing();
- static const boost::array<cpp_dec_float<Digits10, ExponentType, Allocator>, 255u> p2_data =
- {{cpp_dec_float("5.877471754111437539843682686111228389093327783860437607543758531392086297273635864257812500000000000e-39"),
- cpp_dec_float("1.175494350822287507968736537222245677818665556772087521508751706278417259454727172851562500000000000e-38"),
- cpp_dec_float("2.350988701644575015937473074444491355637331113544175043017503412556834518909454345703125000000000000e-38"),
- cpp_dec_float("4.701977403289150031874946148888982711274662227088350086035006825113669037818908691406250000000000000e-38"),
- cpp_dec_float("9.403954806578300063749892297777965422549324454176700172070013650227338075637817382812500000000000000e-38"),
- cpp_dec_float("1.880790961315660012749978459555593084509864890835340034414002730045467615127563476562500000000000000e-37"),
- cpp_dec_float("3.761581922631320025499956919111186169019729781670680068828005460090935230255126953125000000000000000e-37"),
- cpp_dec_float("7.523163845262640050999913838222372338039459563341360137656010920181870460510253906250000000000000000e-37"),
- cpp_dec_float("1.504632769052528010199982767644474467607891912668272027531202184036374092102050781250000000000000000e-36"),
- cpp_dec_float("3.009265538105056020399965535288948935215783825336544055062404368072748184204101562500000000000000000e-36"),
- cpp_dec_float("6.018531076210112040799931070577897870431567650673088110124808736145496368408203125000000000000000000e-36"),
- cpp_dec_float("1.203706215242022408159986214115579574086313530134617622024961747229099273681640625000000000000000000e-35"),
- cpp_dec_float("2.407412430484044816319972428231159148172627060269235244049923494458198547363281250000000000000000000e-35"),
- cpp_dec_float("4.814824860968089632639944856462318296345254120538470488099846988916397094726562500000000000000000000e-35"),
- cpp_dec_float("9.629649721936179265279889712924636592690508241076940976199693977832794189453125000000000000000000000e-35"),
- cpp_dec_float("1.925929944387235853055977942584927318538101648215388195239938795566558837890625000000000000000000000e-34"),
- cpp_dec_float("3.851859888774471706111955885169854637076203296430776390479877591133117675781250000000000000000000000e-34"),
- cpp_dec_float("7.703719777548943412223911770339709274152406592861552780959755182266235351562500000000000000000000000e-34"),
- cpp_dec_float("1.540743955509788682444782354067941854830481318572310556191951036453247070312500000000000000000000000e-33"),
- cpp_dec_float("3.081487911019577364889564708135883709660962637144621112383902072906494140625000000000000000000000000e-33"),
- cpp_dec_float("6.162975822039154729779129416271767419321925274289242224767804145812988281250000000000000000000000000e-33"),
- cpp_dec_float("1.232595164407830945955825883254353483864385054857848444953560829162597656250000000000000000000000000e-32"),
- cpp_dec_float("2.465190328815661891911651766508706967728770109715696889907121658325195312500000000000000000000000000e-32"),
- cpp_dec_float("4.930380657631323783823303533017413935457540219431393779814243316650390625000000000000000000000000000e-32"),
- cpp_dec_float("9.860761315262647567646607066034827870915080438862787559628486633300781250000000000000000000000000000e-32"),
- cpp_dec_float("1.972152263052529513529321413206965574183016087772557511925697326660156250000000000000000000000000000e-31"),
- cpp_dec_float("3.944304526105059027058642826413931148366032175545115023851394653320312500000000000000000000000000000e-31"),
- cpp_dec_float("7.888609052210118054117285652827862296732064351090230047702789306640625000000000000000000000000000000e-31"),
- cpp_dec_float("1.577721810442023610823457130565572459346412870218046009540557861328125000000000000000000000000000000e-30"),
- cpp_dec_float("3.155443620884047221646914261131144918692825740436092019081115722656250000000000000000000000000000000e-30"),
- cpp_dec_float("6.310887241768094443293828522262289837385651480872184038162231445312500000000000000000000000000000000e-30"),
- cpp_dec_float("1.262177448353618888658765704452457967477130296174436807632446289062500000000000000000000000000000000e-29"),
- cpp_dec_float("2.524354896707237777317531408904915934954260592348873615264892578125000000000000000000000000000000000e-29"),
- cpp_dec_float("5.048709793414475554635062817809831869908521184697747230529785156250000000000000000000000000000000000e-29"),
- cpp_dec_float("1.009741958682895110927012563561966373981704236939549446105957031250000000000000000000000000000000000e-28"),
- cpp_dec_float("2.019483917365790221854025127123932747963408473879098892211914062500000000000000000000000000000000000e-28"),
- cpp_dec_float("4.038967834731580443708050254247865495926816947758197784423828125000000000000000000000000000000000000e-28"),
- cpp_dec_float("8.077935669463160887416100508495730991853633895516395568847656250000000000000000000000000000000000000e-28"),
- cpp_dec_float("1.615587133892632177483220101699146198370726779103279113769531250000000000000000000000000000000000000e-27"),
- cpp_dec_float("3.231174267785264354966440203398292396741453558206558227539062500000000000000000000000000000000000000e-27"),
- cpp_dec_float("6.462348535570528709932880406796584793482907116413116455078125000000000000000000000000000000000000000e-27"),
- cpp_dec_float("1.292469707114105741986576081359316958696581423282623291015625000000000000000000000000000000000000000e-26"),
- cpp_dec_float("2.584939414228211483973152162718633917393162846565246582031250000000000000000000000000000000000000000e-26"),
- cpp_dec_float("5.169878828456422967946304325437267834786325693130493164062500000000000000000000000000000000000000000e-26"),
- cpp_dec_float("1.033975765691284593589260865087453566957265138626098632812500000000000000000000000000000000000000000e-25"),
- cpp_dec_float("2.067951531382569187178521730174907133914530277252197265625000000000000000000000000000000000000000000e-25"),
- cpp_dec_float("4.135903062765138374357043460349814267829060554504394531250000000000000000000000000000000000000000000e-25"),
- cpp_dec_float("8.271806125530276748714086920699628535658121109008789062500000000000000000000000000000000000000000000e-25"),
- cpp_dec_float("1.654361225106055349742817384139925707131624221801757812500000000000000000000000000000000000000000000e-24"),
- cpp_dec_float("3.308722450212110699485634768279851414263248443603515625000000000000000000000000000000000000000000000e-24"),
- cpp_dec_float("6.617444900424221398971269536559702828526496887207031250000000000000000000000000000000000000000000000e-24"),
- cpp_dec_float("1.323488980084844279794253907311940565705299377441406250000000000000000000000000000000000000000000000e-23"),
- cpp_dec_float("2.646977960169688559588507814623881131410598754882812500000000000000000000000000000000000000000000000e-23"),
- cpp_dec_float("5.293955920339377119177015629247762262821197509765625000000000000000000000000000000000000000000000000e-23"),
- cpp_dec_float("1.058791184067875423835403125849552452564239501953125000000000000000000000000000000000000000000000000e-22"),
- cpp_dec_float("2.117582368135750847670806251699104905128479003906250000000000000000000000000000000000000000000000000e-22"),
- cpp_dec_float("4.235164736271501695341612503398209810256958007812500000000000000000000000000000000000000000000000000e-22"),
- cpp_dec_float("8.470329472543003390683225006796419620513916015625000000000000000000000000000000000000000000000000000e-22"),
- cpp_dec_float("1.694065894508600678136645001359283924102783203125000000000000000000000000000000000000000000000000000e-21"),
- cpp_dec_float("3.388131789017201356273290002718567848205566406250000000000000000000000000000000000000000000000000000e-21"),
- cpp_dec_float("6.776263578034402712546580005437135696411132812500000000000000000000000000000000000000000000000000000e-21"),
- cpp_dec_float("1.355252715606880542509316001087427139282226562500000000000000000000000000000000000000000000000000000e-20"),
- cpp_dec_float("2.710505431213761085018632002174854278564453125000000000000000000000000000000000000000000000000000000e-20"),
- cpp_dec_float("5.421010862427522170037264004349708557128906250000000000000000000000000000000000000000000000000000000e-20"),
- cpp_dec_float("1.084202172485504434007452800869941711425781250000000000000000000000000000000000000000000000000000000e-19"),
- cpp_dec_float("2.168404344971008868014905601739883422851562500000000000000000000000000000000000000000000000000000000e-19"),
- cpp_dec_float("4.336808689942017736029811203479766845703125000000000000000000000000000000000000000000000000000000000e-19"),
- cpp_dec_float("8.673617379884035472059622406959533691406250000000000000000000000000000000000000000000000000000000000e-19"),
- cpp_dec_float("1.734723475976807094411924481391906738281250000000000000000000000000000000000000000000000000000000000e-18"),
- cpp_dec_float("3.469446951953614188823848962783813476562500000000000000000000000000000000000000000000000000000000000e-18"),
- cpp_dec_float("6.938893903907228377647697925567626953125000000000000000000000000000000000000000000000000000000000000e-18"),
- cpp_dec_float("1.387778780781445675529539585113525390625000000000000000000000000000000000000000000000000000000000000e-17"),
- cpp_dec_float("2.775557561562891351059079170227050781250000000000000000000000000000000000000000000000000000000000000e-17"),
- cpp_dec_float("5.551115123125782702118158340454101562500000000000000000000000000000000000000000000000000000000000000e-17"),
- cpp_dec_float("1.110223024625156540423631668090820312500000000000000000000000000000000000000000000000000000000000000e-16"),
- cpp_dec_float("2.220446049250313080847263336181640625000000000000000000000000000000000000000000000000000000000000000e-16"),
- cpp_dec_float("4.440892098500626161694526672363281250000000000000000000000000000000000000000000000000000000000000000e-16"),
- cpp_dec_float("8.881784197001252323389053344726562500000000000000000000000000000000000000000000000000000000000000000e-16"),
- cpp_dec_float("1.776356839400250464677810668945312500000000000000000000000000000000000000000000000000000000000000000e-15"),
- cpp_dec_float("3.552713678800500929355621337890625000000000000000000000000000000000000000000000000000000000000000000e-15"),
- cpp_dec_float("7.105427357601001858711242675781250000000000000000000000000000000000000000000000000000000000000000000e-15"),
- cpp_dec_float("1.421085471520200371742248535156250000000000000000000000000000000000000000000000000000000000000000000e-14"),
- cpp_dec_float("2.842170943040400743484497070312500000000000000000000000000000000000000000000000000000000000000000000e-14"),
- cpp_dec_float("5.684341886080801486968994140625000000000000000000000000000000000000000000000000000000000000000000000e-14"),
- cpp_dec_float("1.136868377216160297393798828125000000000000000000000000000000000000000000000000000000000000000000000e-13"),
- cpp_dec_float("2.273736754432320594787597656250000000000000000000000000000000000000000000000000000000000000000000000e-13"),
- cpp_dec_float("4.547473508864641189575195312500000000000000000000000000000000000000000000000000000000000000000000000e-13"),
- cpp_dec_float("9.094947017729282379150390625000000000000000000000000000000000000000000000000000000000000000000000000e-13"),
- cpp_dec_float("1.818989403545856475830078125000000000000000000000000000000000000000000000000000000000000000000000000e-12"),
- cpp_dec_float("3.637978807091712951660156250000000000000000000000000000000000000000000000000000000000000000000000000e-12"),
- cpp_dec_float("7.275957614183425903320312500000000000000000000000000000000000000000000000000000000000000000000000000e-12"),
- cpp_dec_float("1.455191522836685180664062500000000000000000000000000000000000000000000000000000000000000000000000000e-11"),
- cpp_dec_float("2.910383045673370361328125000000000000000000000000000000000000000000000000000000000000000000000000000e-11"),
- cpp_dec_float("5.820766091346740722656250000000000000000000000000000000000000000000000000000000000000000000000000000e-11"),
- cpp_dec_float("1.164153218269348144531250000000000000000000000000000000000000000000000000000000000000000000000000000e-10"),
- cpp_dec_float("2.328306436538696289062500000000000000000000000000000000000000000000000000000000000000000000000000000e-10"),
- cpp_dec_float("4.656612873077392578125000000000000000000000000000000000000000000000000000000000000000000000000000000e-10"),
- cpp_dec_float("9.313225746154785156250000000000000000000000000000000000000000000000000000000000000000000000000000000e-10"),
- cpp_dec_float("1.862645149230957031250000000000000000000000000000000000000000000000000000000000000000000000000000000e-9"),
- cpp_dec_float("3.725290298461914062500000000000000000000000000000000000000000000000000000000000000000000000000000000e-9"),
- cpp_dec_float("7.450580596923828125000000000000000000000000000000000000000000000000000000000000000000000000000000000e-9"),
- cpp_dec_float("1.490116119384765625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-8"),
- cpp_dec_float("2.980232238769531250000000000000000000000000000000000000000000000000000000000000000000000000000000000e-8"),
- cpp_dec_float("5.960464477539062500000000000000000000000000000000000000000000000000000000000000000000000000000000000e-8"),
- cpp_dec_float("1.192092895507812500000000000000000000000000000000000000000000000000000000000000000000000000000000000e-7"),
- cpp_dec_float("2.384185791015625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-7"),
- cpp_dec_float("4.768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-7"),
- cpp_dec_float("9.536743164062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-7"),
- cpp_dec_float("1.907348632812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-6"),
- cpp_dec_float("3.814697265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-6"),
- cpp_dec_float("7.629394531250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-6"),
- cpp_dec_float("0.000015258789062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.000030517578125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.000061035156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.000122070312500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.000244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.000488281250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.001953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.007812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.01562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.03125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.06250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"),
- cpp_dec_float("0.125"),
- cpp_dec_float("0.25"),
- cpp_dec_float("0.5"),
- one(),
- two(),
- cpp_dec_float(static_cast<boost::ulong_long_type>(4)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(8)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(16)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(32)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(64)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(128)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(256)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(512)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(1024)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(2048)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(4096)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(8192)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(16384)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(32768)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(65536)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(131072)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(262144)),
- cpp_dec_float(static_cast<boost::ulong_long_type>(524288)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 20u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 21u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 22u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 23u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 24u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 25u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 26u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 27u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 28u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 29u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 30u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uL << 31u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 32u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 33u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 34u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 35u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 36u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 37u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 38u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 39u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 40u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 41u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 42u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 43u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 44u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 45u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 46u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 47u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 48u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 49u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 50u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 51u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 52u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 53u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 54u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 55u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 56u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 57u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 58u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 59u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 60u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 61u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 62u)),
- cpp_dec_float(static_cast<boost::uint64_t>(1uLL << 63u)),
- cpp_dec_float("1.844674407370955161600000000000000000000000000000000000000000000000000000000000000000000000000000000e19"),
- cpp_dec_float("3.689348814741910323200000000000000000000000000000000000000000000000000000000000000000000000000000000e19"),
- cpp_dec_float("7.378697629483820646400000000000000000000000000000000000000000000000000000000000000000000000000000000e19"),
- cpp_dec_float("1.475739525896764129280000000000000000000000000000000000000000000000000000000000000000000000000000000e20"),
- cpp_dec_float("2.951479051793528258560000000000000000000000000000000000000000000000000000000000000000000000000000000e20"),
- cpp_dec_float("5.902958103587056517120000000000000000000000000000000000000000000000000000000000000000000000000000000e20"),
- cpp_dec_float("1.180591620717411303424000000000000000000000000000000000000000000000000000000000000000000000000000000e21"),
- cpp_dec_float("2.361183241434822606848000000000000000000000000000000000000000000000000000000000000000000000000000000e21"),
- cpp_dec_float("4.722366482869645213696000000000000000000000000000000000000000000000000000000000000000000000000000000e21"),
- cpp_dec_float("9.444732965739290427392000000000000000000000000000000000000000000000000000000000000000000000000000000e21"),
- cpp_dec_float("1.888946593147858085478400000000000000000000000000000000000000000000000000000000000000000000000000000e22"),
- cpp_dec_float("3.777893186295716170956800000000000000000000000000000000000000000000000000000000000000000000000000000e22"),
- cpp_dec_float("7.555786372591432341913600000000000000000000000000000000000000000000000000000000000000000000000000000e22"),
- cpp_dec_float("1.511157274518286468382720000000000000000000000000000000000000000000000000000000000000000000000000000e23"),
- cpp_dec_float("3.022314549036572936765440000000000000000000000000000000000000000000000000000000000000000000000000000e23"),
- cpp_dec_float("6.044629098073145873530880000000000000000000000000000000000000000000000000000000000000000000000000000e23"),
- cpp_dec_float("1.208925819614629174706176000000000000000000000000000000000000000000000000000000000000000000000000000e24"),
- cpp_dec_float("2.417851639229258349412352000000000000000000000000000000000000000000000000000000000000000000000000000e24"),
- cpp_dec_float("4.835703278458516698824704000000000000000000000000000000000000000000000000000000000000000000000000000e24"),
- cpp_dec_float("9.671406556917033397649408000000000000000000000000000000000000000000000000000000000000000000000000000e24"),
- cpp_dec_float("1.934281311383406679529881600000000000000000000000000000000000000000000000000000000000000000000000000e25"),
- cpp_dec_float("3.868562622766813359059763200000000000000000000000000000000000000000000000000000000000000000000000000e25"),
- cpp_dec_float("7.737125245533626718119526400000000000000000000000000000000000000000000000000000000000000000000000000e25"),
- cpp_dec_float("1.547425049106725343623905280000000000000000000000000000000000000000000000000000000000000000000000000e26"),
- cpp_dec_float("3.094850098213450687247810560000000000000000000000000000000000000000000000000000000000000000000000000e26"),
- cpp_dec_float("6.189700196426901374495621120000000000000000000000000000000000000000000000000000000000000000000000000e26"),
- cpp_dec_float("1.237940039285380274899124224000000000000000000000000000000000000000000000000000000000000000000000000e27"),
- cpp_dec_float("2.475880078570760549798248448000000000000000000000000000000000000000000000000000000000000000000000000e27"),
- cpp_dec_float("4.951760157141521099596496896000000000000000000000000000000000000000000000000000000000000000000000000e27"),
- cpp_dec_float("9.903520314283042199192993792000000000000000000000000000000000000000000000000000000000000000000000000e27"),
- cpp_dec_float("1.980704062856608439838598758400000000000000000000000000000000000000000000000000000000000000000000000e28"),
- cpp_dec_float("3.961408125713216879677197516800000000000000000000000000000000000000000000000000000000000000000000000e28"),
- cpp_dec_float("7.922816251426433759354395033600000000000000000000000000000000000000000000000000000000000000000000000e28"),
- cpp_dec_float("1.584563250285286751870879006720000000000000000000000000000000000000000000000000000000000000000000000e29"),
- cpp_dec_float("3.169126500570573503741758013440000000000000000000000000000000000000000000000000000000000000000000000e29"),
- cpp_dec_float("6.338253001141147007483516026880000000000000000000000000000000000000000000000000000000000000000000000e29"),
- cpp_dec_float("1.267650600228229401496703205376000000000000000000000000000000000000000000000000000000000000000000000e30"),
- cpp_dec_float("2.535301200456458802993406410752000000000000000000000000000000000000000000000000000000000000000000000e30"),
- cpp_dec_float("5.070602400912917605986812821504000000000000000000000000000000000000000000000000000000000000000000000e30"),
- cpp_dec_float("1.014120480182583521197362564300800000000000000000000000000000000000000000000000000000000000000000000e31"),
- cpp_dec_float("2.028240960365167042394725128601600000000000000000000000000000000000000000000000000000000000000000000e31"),
- cpp_dec_float("4.056481920730334084789450257203200000000000000000000000000000000000000000000000000000000000000000000e31"),
- cpp_dec_float("8.112963841460668169578900514406400000000000000000000000000000000000000000000000000000000000000000000e31"),
- cpp_dec_float("1.622592768292133633915780102881280000000000000000000000000000000000000000000000000000000000000000000e32"),
- cpp_dec_float("3.245185536584267267831560205762560000000000000000000000000000000000000000000000000000000000000000000e32"),
- cpp_dec_float("6.490371073168534535663120411525120000000000000000000000000000000000000000000000000000000000000000000e32"),
- cpp_dec_float("1.298074214633706907132624082305024000000000000000000000000000000000000000000000000000000000000000000e33"),
- cpp_dec_float("2.596148429267413814265248164610048000000000000000000000000000000000000000000000000000000000000000000e33"),
- cpp_dec_float("5.192296858534827628530496329220096000000000000000000000000000000000000000000000000000000000000000000e33"),
- cpp_dec_float("1.038459371706965525706099265844019200000000000000000000000000000000000000000000000000000000000000000e34"),
- cpp_dec_float("2.076918743413931051412198531688038400000000000000000000000000000000000000000000000000000000000000000e34"),
- cpp_dec_float("4.153837486827862102824397063376076800000000000000000000000000000000000000000000000000000000000000000e34"),
- cpp_dec_float("8.307674973655724205648794126752153600000000000000000000000000000000000000000000000000000000000000000e34"),
- cpp_dec_float("1.661534994731144841129758825350430720000000000000000000000000000000000000000000000000000000000000000e35"),
- cpp_dec_float("3.323069989462289682259517650700861440000000000000000000000000000000000000000000000000000000000000000e35"),
- cpp_dec_float("6.646139978924579364519035301401722880000000000000000000000000000000000000000000000000000000000000000e35"),
- cpp_dec_float("1.329227995784915872903807060280344576000000000000000000000000000000000000000000000000000000000000000e36"),
- cpp_dec_float("2.658455991569831745807614120560689152000000000000000000000000000000000000000000000000000000000000000e36"),
- cpp_dec_float("5.316911983139663491615228241121378304000000000000000000000000000000000000000000000000000000000000000e36"),
- cpp_dec_float("1.063382396627932698323045648224275660800000000000000000000000000000000000000000000000000000000000000e37"),
- cpp_dec_float("2.126764793255865396646091296448551321600000000000000000000000000000000000000000000000000000000000000e37"),
- cpp_dec_float("4.253529586511730793292182592897102643200000000000000000000000000000000000000000000000000000000000000e37"),
- cpp_dec_float("8.507059173023461586584365185794205286400000000000000000000000000000000000000000000000000000000000000e37"),
- cpp_dec_float("1.701411834604692317316873037158841057280000000000000000000000000000000000000000000000000000000000000e38")}};
-
- if ((p > static_cast<boost::long_long_type>(-128)) && (p < static_cast<boost::long_long_type>(+128)))
- {
- return p2_data[static_cast<std::size_t>(p + ((p2_data.size() - 1u) / 2u))];
+ for (std::int32_t j = p - 1; j >= static_cast<std::int32_t>(0); j--)
+ {
+ const std::uint64_t t = static_cast<std::uint64_t>(carry + static_cast<std::uint64_t>(u[j] * static_cast<std::uint64_t>(n)));
+ carry = static_cast<std::uint64_t>(t / static_cast<std::uint32_t>(cpp_dec_float_elem_mask));
+ u[j] = static_cast<std::uint32_t>(t - static_cast<std::uint64_t>(static_cast<std::uint32_t>(cpp_dec_float_elem_mask) * static_cast<std::uint64_t>(carry)));
}
- else
+
+ return static_cast<std::uint32_t>(carry);
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+std::uint32_t cpp_dec_float<Digits10, ExponentType, Allocator>::div_loop_n(std::uint32_t* const u, std::uint32_t n, const std::int32_t p)
+{
+ std::uint64_t prev = static_cast<std::uint64_t>(0u);
+
+ for (std::int32_t j = static_cast<std::int32_t>(0); j < p; j++)
+ {
+ const std::uint64_t t = static_cast<std::uint64_t>(u[j] + static_cast<std::uint64_t>(prev * static_cast<std::uint32_t>(cpp_dec_float_elem_mask)));
+ u[j] = static_cast<std::uint32_t>(t / n);
+ prev = static_cast<std::uint64_t>(t - static_cast<std::uint64_t>(n * static_cast<std::uint64_t>(u[j])));
+ }
+
+ return static_cast<std::uint32_t>(prev);
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+void cpp_dec_float<Digits10, ExponentType, Allocator>::eval_multiply_kara_propagate_carry(std::uint32_t* t, const std::uint32_t n, const std::uint32_t carry)
+{
+ std::uint_fast8_t carry_out = ((carry != 0U) ? static_cast<std::uint_fast8_t>(1U)
+ : static_cast<std::uint_fast8_t>(0U));
+
+ using local_reverse_iterator_type = std::reverse_iterator<std::uint32_t*>;
+
+ local_reverse_iterator_type ri_t (t + n);
+ local_reverse_iterator_type rend_t(t);
+
+ while((carry_out != 0U) && (ri_t != rend_t))
{
- // Compute and return 2^p.
- if (p < static_cast<boost::long_long_type>(0))
+ const std::uint64_t tt = *ri_t + carry_out;
+
+ carry_out = ((tt >= static_cast<std::uint32_t>(cpp_dec_float_elem_mask)) ? static_cast<std::uint_fast8_t>(1U)
+ : static_cast<std::uint_fast8_t>(0U));
+
+ *ri_t++ = static_cast<std::uint32_t>(tt - ((carry_out != 0U) ? static_cast<std::uint32_t>(cpp_dec_float_elem_mask)
+ : static_cast<std::uint32_t>(0U)));
+ }
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+void cpp_dec_float<Digits10, ExponentType, Allocator>::eval_multiply_kara_propagate_borrow(std::uint32_t* t, const std::uint32_t n, const bool has_borrow)
+{
+ std::int_fast8_t borrow = (has_borrow ? static_cast<std::int_fast8_t>(1)
+ : static_cast<std::int_fast8_t>(0));
+
+ using local_reverse_iterator_type = std::reverse_iterator<std::uint32_t*>;
+
+ local_reverse_iterator_type ri_t (t + n);
+ local_reverse_iterator_type rend_t(t);
+
+ while((borrow != 0U) && (ri_t != rend_t))
+ {
+ std::int32_t tt = static_cast<std::int32_t>(static_cast<std::int32_t>(*ri_t) - borrow);
+
+ // Underflow? Borrow?
+ if(tt < 0)
{
- return pow2(static_cast<boost::long_long_type>(-p)).calculate_inv();
+ // Yes, underflow and borrow
+ tt += static_cast<std::int32_t>(cpp_dec_float_elem_mask);
+ borrow = static_cast<int_fast8_t>(1);
}
else
{
- cpp_dec_float<Digits10, ExponentType, Allocator> t;
- default_ops::detail::pow_imp(t, two(), p, mpl::true_());
- return t;
+ borrow = static_cast<int_fast8_t>(0);
+ }
+
+ *ri_t++ = static_cast<std::uint32_t>(tt);
+ }
+}
+
+template <unsigned Digits10, class ExponentType, class Allocator>
+void cpp_dec_float<Digits10, ExponentType, Allocator>::eval_multiply_kara_n_by_n_to_2n( std::uint32_t* r,
+ const std::uint32_t* a,
+ const std::uint32_t* b,
+ const std::uint32_t n,
+ std::uint32_t* t)
+{
+ if(n <= 32U)
+ {
+ static_cast<void>(t);
+
+ eval_multiply_n_by_n_to_2n(r, a, b, n);
+ }
+ else
+ {
+ // Based on "Algorithm 1.3 KaratsubaMultiply", Sect. 1.3.2, page 5
+ // of R.P. Brent and P. Zimmermann, "Modern Computer Arithmetic",
+ // Cambridge University Press (2011).
+
+ // The Karatsuba multipliation computes the product of a*b as:
+ // [b^N + b^(N/2)] a1*b1 + [b^(N/2)](a1 - a0)(b0 - b1) + [b^(N/2) + 1] a0*b0
+
+ // Here we visualize a and b in two components 1,0 corresponding
+ // to the high and low order parts, respectively.
+
+ // Step 1
+ // Calculate a1*b1 and store it in the upper-order part of r.
+ // Calculate a0*b0 and store it in the lower-order part of r.
+ // copy r to t0.
+
+ // Step 2
+ // Add a1*b1 (which is t2) to the middle two-quarters of r (which is r1)
+ // Add a0*b0 (which is t0) to the middle two-quarters of r (which is r1)
+
+ // Step 3
+ // Calculate |a1-a0| in t0 and note the sign (i.e., the borrow flag)
+
+ // Step 4
+ // Calculate |b0-b1| in t1 and note the sign (i.e., the borrow flag)
+
+ // Step 5
+ // Call kara mul to calculate |a1-a0|*|b0-b1| in (t2),
+ // while using temporary storage in t4 along the way.
+
+ // Step 6
+ // Check the borrow signs. If a1-a0 and b0-b1 have the same signs,
+ // then add |a1-a0|*|b0-b1| to r1, otherwise subtract it from r1.
+
+ const std::uint_fast32_t nh = n / 2U;
+
+ const std::uint32_t* a0 = a + nh;
+ const std::uint32_t* a1 = a + 0U;
+
+ const std::uint32_t* b0 = b + nh;
+ const std::uint32_t* b1 = b + 0U;
+
+ std::uint32_t* r0 = r + 0U;
+ std::uint32_t* r1 = r + nh;
+ std::uint32_t* r2 = r + n;
+
+ std::uint32_t* t0 = t + 0U;
+ std::uint32_t* t1 = t + nh;
+ std::uint32_t* t2 = t + n;
+ std::uint32_t* t4 = t + (n + n);
+
+ // Step 1
+ eval_multiply_kara_n_by_n_to_2n(r0, a1, b1, nh, t);
+ eval_multiply_kara_n_by_n_to_2n(r2, a0, b0, nh, t);
+ std::copy(r0, r0 + (2U * n), t0);
+
+ // Step 2
+ std::uint32_t carry;
+ carry = eval_add_n(r1, r1, t0, n);
+ eval_multiply_kara_propagate_carry(r0, nh, carry);
+ carry = eval_add_n(r1, r1, t2, n);
+ eval_multiply_kara_propagate_carry(r0, nh, carry);
+
+ // Step 3
+ const int cmp_result_a1a0 = compare_ranges(a1, a0, nh);
+
+ if(cmp_result_a1a0 == 1)
+ static_cast<void>(eval_subtract_n(t0, a1, a0, nh));
+ else if(cmp_result_a1a0 == -1)
+ static_cast<void>(eval_subtract_n(t0, a0, a1, nh));
+
+ // Step 4
+ const int cmp_result_b0b1 = compare_ranges(b0, b1, nh);
+
+ if(cmp_result_b0b1 == 1)
+ static_cast<void>(eval_subtract_n(t1, b0, b1, nh));
+ else if(cmp_result_b0b1 == -1)
+ static_cast<void>(eval_subtract_n(t1, b1, b0, nh));
+
+ // Step 5
+ eval_multiply_kara_n_by_n_to_2n(t2, t0, t1, nh, t4);
+
+ // Step 6
+ if((cmp_result_a1a0 * cmp_result_b0b1) == 1)
+ {
+ carry = eval_add_n(r1, r1, t2, n);
+
+ eval_multiply_kara_propagate_carry(r0, nh, carry);
+ }
+ else if((cmp_result_a1a0 * cmp_result_b0b1) == -1)
+ {
+ const bool has_borrow = eval_subtract_n(r1, r1, t2, n);
+
+ eval_multiply_kara_propagate_borrow(r0, nh, has_borrow);
}
}
}
+template <unsigned Digits10, class ExponentType, class Allocator>
+cpp_dec_float<Digits10, ExponentType, Allocator> cpp_dec_float<Digits10, ExponentType, Allocator>::pow2(const long long p)
+{
+ static const std::array<cpp_dec_float<Digits10, ExponentType, Allocator>, 256u> local_pow2_data =
+ {{
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 29u, 38735877u, 5571876u, 99218413u, 43055614u, 19454666u, 38919302u, 18803771u, 87926569u, 60431486u, 36817932u, 12890625u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 58u, 77471754u, 11143753u, 98436826u, 86111228u, 38909332u, 77838604u, 37607543u, 75853139u, 20862972u, 73635864u, 25781250u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 117u, 54943508u, 22287507u, 96873653u, 72222456u, 77818665u, 55677208u, 75215087u, 51706278u, 41725945u, 47271728u, 51562500u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 235u, 9887016u, 44575015u, 93747307u, 44444913u, 55637331u, 11354417u, 50430175u, 3412556u, 83451890u, 94543457u, 3125000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 470u, 19774032u, 89150031u, 87494614u, 88889827u, 11274662u, 22708835u, 860350u, 6825113u, 66903781u, 89086914u, 6250000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 940u, 39548065u, 78300063u, 74989229u, 77779654u, 22549324u, 45417670u, 1720700u, 13650227u, 33807563u, 78173828u, 12500000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1880u, 79096131u, 56600127u, 49978459u, 55559308u, 45098648u, 90835340u, 3441400u, 27300454u, 67615127u, 56347656u, 25000000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3761u, 58192263u, 13200254u, 99956919u, 11118616u, 90197297u, 81670680u, 6882800u, 54600909u, 35230255u, 12695312u, 50000000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 7523u, 16384526u, 26400509u, 99913838u, 22237233u, 80394595u, 63341360u, 13765601u, 9201818u, 70460510u, 25390625u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 15046u, 32769052u, 52801019u, 99827676u, 44474467u, 60789191u, 26682720u, 27531202u, 18403637u, 40921020u, 50781250u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 30092u, 65538105u, 5602039u, 99655352u, 88948935u, 21578382u, 53365440u, 55062404u, 36807274u, 81842041u, 1562500u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 60185u, 31076210u, 11204079u, 99310705u, 77897870u, 43156765u, 6730881u, 10124808u, 73614549u, 63684082u, 3125000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 120370u, 62152420u, 22408159u, 98621411u, 55795740u, 86313530u, 13461762u, 20249617u, 47229099u, 27368164u, 6250000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 240741u, 24304840u, 44816319u, 97242823u, 11591481u, 72627060u, 26923524u, 40499234u, 94458198u, 54736328u, 12500000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 481482u, 48609680u, 89632639u, 94485646u, 23182963u, 45254120u, 53847048u, 80998469u, 88916397u, 9472656u, 25000000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 962964u, 97219361u, 79265279u, 88971292u, 46365926u, 90508241u, 7694097u, 61996939u, 77832794u, 18945312u, 50000000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1925929u, 94438723u, 58530559u, 77942584u, 92731853u, 81016482u, 15388195u, 23993879u, 55665588u, 37890625u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3851859u, 88877447u, 17061119u, 55885169u, 85463707u, 62032964u, 30776390u, 47987759u, 11331176u, 75781250u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 7703719u, 77754894u, 34122239u, 11770339u, 70927415u, 24065928u, 61552780u, 95975518u, 22662353u, 51562500u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 15407439u, 55509788u, 68244478u, 23540679u, 41854830u, 48131857u, 23105561u, 91951036u, 45324707u, 3125000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 30814879u, 11019577u, 36488956u, 47081358u, 83709660u, 96263714u, 46211123u, 83902072u, 90649414u, 6250000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 61629758u, 22039154u, 72977912u, 94162717u, 67419321u, 92527428u, 92422247u, 67804145u, 81298828u, 12500000u }, -40 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 23259516u, 44078309u, 45955825u, 88325435u, 34838643u, 85054857u, 84844495u, 35608291u, 62597656u, 25000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2u, 46519032u, 88156618u, 91911651u, 76650870u, 69677287u, 70109715u, 69688990u, 71216583u, 25195312u, 50000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4u, 93038065u, 76313237u, 83823303u, 53301741u, 39354575u, 40219431u, 39377981u, 42433166u, 50390625u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 9u, 86076131u, 52626475u, 67646607u, 6603482u, 78709150u, 80438862u, 78755962u, 84866333u, 781250u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 19u, 72152263u, 5252951u, 35293214u, 13206965u, 57418301u, 60877725u, 57511925u, 69732666u, 1562500u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 39u, 44304526u, 10505902u, 70586428u, 26413931u, 14836603u, 21755451u, 15023851u, 39465332u, 3125000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 78u, 88609052u, 21011805u, 41172856u, 52827862u, 29673206u, 43510902u, 30047702u, 78930664u, 6250000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 157u, 77218104u, 42023610u, 82345713u, 5655724u, 59346412u, 87021804u, 60095405u, 57861328u, 12500000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 315u, 54436208u, 84047221u, 64691426u, 11311449u, 18692825u, 74043609u, 20190811u, 15722656u, 25000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 631u, 8872417u, 68094443u, 29382852u, 22622898u, 37385651u, 48087218u, 40381622u, 31445312u, 50000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1262u, 17744835u, 36188886u, 58765704u, 45245796u, 74771302u, 96174436u, 80763244u, 62890625u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2524u, 35489670u, 72377773u, 17531408u, 90491593u, 49542605u, 92348873u, 61526489u, 25781250u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5048u, 70979341u, 44755546u, 35062817u, 80983186u, 99085211u, 84697747u, 23052978u, 51562500u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 10097u, 41958682u, 89511092u, 70125635u, 61966373u, 98170423u, 69395494u, 46105957u, 3125000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 20194u, 83917365u, 79022185u, 40251271u, 23932747u, 96340847u, 38790988u, 92211914u, 6250000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 40389u, 67834731u, 58044370u, 80502542u, 47865495u, 92681694u, 77581977u, 84423828u, 12500000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 80779u, 35669463u, 16088741u, 61005084u, 95730991u, 85363389u, 55163955u, 68847656u, 25000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 161558u, 71338926u, 32177483u, 22010169u, 91461983u, 70726779u, 10327911u, 37695312u, 50000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 323117u, 42677852u, 64354966u, 44020339u, 82923967u, 41453558u, 20655822u, 75390625u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 646234u, 85355705u, 28709932u, 88040679u, 65847934u, 82907116u, 41311645u, 50781250u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1292469u, 70711410u, 57419865u, 76081359u, 31695869u, 65814232u, 82623291u, 1562500u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2584939u, 41422821u, 14839731u, 52162718u, 63391739u, 31628465u, 65246582u, 3125000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5169878u, 82845642u, 29679463u, 4325437u, 26783478u, 63256931u, 30493164u, 6250000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 10339757u, 65691284u, 59358926u, 8650874u, 53566957u, 26513862u, 60986328u, 12500000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 20679515u, 31382569u, 18717852u, 17301749u, 7133914u, 53027725u, 21972656u, 25000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 41359030u, 62765138u, 37435704u, 34603498u, 14267829u, 6055450u, 43945312u, 50000000u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 82718061u, 25530276u, 74871408u, 69206996u, 28535658u, 12110900u, 87890625u }, -32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 65436122u, 51060553u, 49742817u, 38413992u, 57071316u, 24221801u, 75781250u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3u, 30872245u, 2121106u, 99485634u, 76827985u, 14142632u, 48443603u, 51562500u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6u, 61744490u, 4242213u, 98971269u, 53655970u, 28285264u, 96887207u, 3125000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 13u, 23488980u, 8484427u, 97942539u, 7311940u, 56570529u, 93774414u, 6250000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 26u, 46977960u, 16968855u, 95885078u, 14623881u, 13141059u, 87548828u, 12500000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 52u, 93955920u, 33937711u, 91770156u, 29247762u, 26282119u, 75097656u, 25000000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 105u, 87911840u, 67875423u, 83540312u, 58495524u, 52564239u, 50195312u, 50000000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 211u, 75823681u, 35750847u, 67080625u, 16991049u, 5128479u, 390625u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 423u, 51647362u, 71501695u, 34161250u, 33982098u, 10256958u, 781250u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 847u, 3294725u, 43003390u, 68322500u, 67964196u, 20513916u, 1562500u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1694u, 6589450u, 86006781u, 36645001u, 35928392u, 41027832u, 3125000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3388u, 13178901u, 72013562u, 73290002u, 71856784u, 82055664u, 6250000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6776u, 26357803u, 44027125u, 46580005u, 43713569u, 64111328u, 12500000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 13552u, 52715606u, 88054250u, 93160010u, 87427139u, 28222656u, 25000000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 27105u, 5431213u, 76108501u, 86320021u, 74854278u, 56445312u, 50000000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 54210u, 10862427u, 52217003u, 72640043u, 49708557u, 12890625u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 108420u, 21724855u, 4434007u, 45280086u, 99417114u, 25781250u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 216840u, 43449710u, 8868014u, 90560173u, 98834228u, 51562500u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 433680u, 86899420u, 17736029u, 81120347u, 97668457u, 3125000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 867361u, 73798840u, 35472059u, 62240695u, 95336914u, 6250000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1734723u, 47597680u, 70944119u, 24481391u, 90673828u, 12500000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3469446u, 95195361u, 41888238u, 48962783u, 81347656u, 25000000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6938893u, 90390722u, 83776476u, 97925567u, 62695312u, 50000000u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 13877787u, 80781445u, 67552953u, 95851135u, 25390625u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 27755575u, 61562891u, 35105907u, 91702270u, 50781250u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 55511151u, 23125782u, 70211815u, 83404541u, 1562500u }, -24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 11022302u, 46251565u, 40423631u, 66809082u, 3125000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2u, 22044604u, 92503130u, 80847263u, 33618164u, 6250000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4u, 44089209u, 85006261u, 61694526u, 67236328u, 12500000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 8u, 88178419u, 70012523u, 23389053u, 34472656u, 25000000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 17u, 76356839u, 40025046u, 46778106u, 68945312u, 50000000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 35u, 52713678u, 80050092u, 93556213u, 37890625u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 71u, 5427357u, 60100185u, 87112426u, 75781250u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 142u, 10854715u, 20200371u, 74224853u, 51562500u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 284u, 21709430u, 40400743u, 48449707u, 3125000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 568u, 43418860u, 80801486u, 96899414u, 6250000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1136u, 86837721u, 61602973u, 93798828u, 12500000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2273u, 73675443u, 23205947u, 87597656u, 25000000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4547u, 47350886u, 46411895u, 75195312u, 50000000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 9094u, 94701772u, 92823791u, 50390625u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 18189u, 89403545u, 85647583u, 781250u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 36379u, 78807091u, 71295166u, 1562500u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 72759u, 57614183u, 42590332u, 3125000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 145519u, 15228366u, 85180664u, 6250000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 291038u, 30456733u, 70361328u, 12500000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 582076u, 60913467u, 40722656u, 25000000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1164153u, 21826934u, 81445312u, 50000000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2328306u, 43653869u, 62890625u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4656612u, 87307739u, 25781250u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 9313225u, 74615478u, 51562500u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 18626451u, 49230957u, 3125000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 37252902u, 98461914u, 6250000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 74505805u, 96923828u, 12500000u }, -16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 49011611u, 93847656u, 25000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2u, 98023223u, 87695312u, 50000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5u, 96046447u, 75390625u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 11u, 92092895u, 50781250u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 23u, 84185791u, 1562500u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 47u, 68371582u, 3125000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 95u, 36743164u, 6250000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 190u, 73486328u, 12500000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 381u, 46972656u, 25000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 762u, 93945312u, 50000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1525u, 87890625u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3051u, 75781250u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6103u, 51562500u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 12207u, 3125000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 24414u, 6250000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 48828u, 12500000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 97656u, 25000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 195312u, 50000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 390625u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 781250u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1562500u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3125000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6250000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 12500000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 25000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 50000000u }, -8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 8u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 16u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 32u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 64u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 128u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 256u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 512u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1024u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2048u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4096u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 8192u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 16384u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 32768u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 65536u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 131072u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 262144u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 524288u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1048576u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2097152u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4194304u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 8388608u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 16777216u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 33554432u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 67108864u }, 0 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 34217728u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2u, 68435456u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5u, 36870912u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 10u, 73741824u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 21u, 47483648u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 42u, 94967296u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 85u, 89934592u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 171u, 79869184u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 343u, 59738368u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 687u, 19476736u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1374u, 38953472u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2748u, 77906944u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5497u, 55813888u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 10995u, 11627776u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 21990u, 23255552u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 43980u, 46511104u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 87960u, 93022208u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 175921u, 86044416u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 351843u, 72088832u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 703687u, 44177664u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1407374u, 88355328u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2814749u, 76710656u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5629499u, 53421312u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 11258999u, 6842624u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 22517998u, 13685248u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 45035996u, 27370496u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 90071992u, 54740992u }, 8 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 80143985u, 9481984u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3u, 60287970u, 18963968u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 7u, 20575940u, 37927936u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 14u, 41151880u, 75855872u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 28u, 82303761u, 51711744u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 57u, 64607523u, 3423488u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 115u, 29215046u, 6846976u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 230u, 58430092u, 13693952u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 461u, 16860184u, 27387904u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 922u, 33720368u, 54775808u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1844u, 67440737u, 9551616u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3689u, 34881474u, 19103232u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 7378u, 69762948u, 38206464u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 14757u, 39525896u, 76412928u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 29514u, 79051793u, 52825856u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 59029u, 58103587u, 5651712u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 118059u, 16207174u, 11303424u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 236118u, 32414348u, 22606848u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 472236u, 64828696u, 45213696u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 944473u, 29657392u, 90427392u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1888946u, 59314785u, 80854784u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3777893u, 18629571u, 61709568u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 7555786u, 37259143u, 23419136u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 15111572u, 74518286u, 46838272u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 30223145u, 49036572u, 93676544u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 60446290u, 98073145u, 87353088u }, 16 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 20892581u, 96146291u, 74706176u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2u, 41785163u, 92292583u, 49412352u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4u, 83570327u, 84585166u, 98824704u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 9u, 67140655u, 69170333u, 97649408u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 19u, 34281311u, 38340667u, 95298816u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 38u, 68562622u, 76681335u, 90597632u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 77u, 37125245u, 53362671u, 81195264u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 154u, 74250491u, 6725343u, 62390528u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 309u, 48500982u, 13450687u, 24781056u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 618u, 97001964u, 26901374u, 49562112u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1237u, 94003928u, 53802748u, 99124224u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2475u, 88007857u, 7605497u, 98248448u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 4951u, 76015714u, 15210995u, 96496896u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 9903u, 52031428u, 30421991u, 92993792u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 19807u, 4062856u, 60843983u, 85987584u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 39614u, 8125713u, 21687967u, 71975168u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 79228u, 16251426u, 43375935u, 43950336u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 158456u, 32502852u, 86751870u, 87900672u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 316912u, 65005705u, 73503741u, 75801344u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 633825u, 30011411u, 47007483u, 51602688u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1267650u, 60022822u, 94014967u, 3205376u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 2535301u, 20045645u, 88029934u, 6410752u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 5070602u, 40091291u, 76059868u, 12821504u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 10141204u, 80182583u, 52119736u, 25643008u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 20282409u, 60365167u, 4239472u, 51286016u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 40564819u, 20730334u, 8478945u, 2572032u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 81129638u, 41460668u, 16957890u, 5144064u }, 24 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1u, 62259276u, 82921336u, 33915780u, 10288128u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3u, 24518553u, 65842672u, 67831560u, 20576256u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6u, 49037107u, 31685345u, 35663120u, 41152512u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 12u, 98074214u, 63370690u, 71326240u, 82305024u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 25u, 96148429u, 26741381u, 42652481u, 64610048u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 51u, 92296858u, 53482762u, 85304963u, 29220096u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 103u, 84593717u, 6965525u, 70609926u, 58440192u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 207u, 69187434u, 13931051u, 41219853u, 16880384u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 415u, 38374868u, 27862102u, 82439706u, 33760768u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 830u, 76749736u, 55724205u, 64879412u, 67521536u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1661u, 53499473u, 11448411u, 29758825u, 35043072u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 3323u, 6998946u, 22896822u, 59517650u, 70086144u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 6646u, 13997892u, 45793645u, 19035301u, 40172288u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 13292u, 27995784u, 91587290u, 38070602u, 80344576u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 26584u, 55991569u, 83174580u, 76141205u, 60689152u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 53169u, 11983139u, 66349161u, 52282411u, 21378304u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 106338u, 23966279u, 32698323u, 4564822u, 42756608u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 212676u, 47932558u, 65396646u, 9129644u, 85513216u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 425352u, 95865117u, 30793292u, 18259289u, 71026432u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 850705u, 91730234u, 61586584u, 36518579u, 42052864u }, 32 ),
+ cpp_dec_float<Digits10, ExponentType, Allocator>::from_lst( { 1701411u, 83460469u, 23173168u, 73037158u, 84105728u }, 32 ),
+ }};
+
+ cpp_dec_float<Digits10, ExponentType, Allocator> t;
+
+ if(p < -128L)
+ default_ops::detail::pow_imp(t, cpp_dec_float<Digits10, ExponentType, Allocator>::half(), static_cast<unsigned long long>(-p), std::integral_constant<bool, false>());
+ else if ((p >= -128L) && (p <= 127L))
+ t = local_pow2_data[std::size_t(p + 128)];
+ else
+ default_ops::detail::pow_imp(t, cpp_dec_float<Digits10, ExponentType, Allocator>::two(), static_cast<unsigned long long>(p), std::integral_constant<bool, false>());
+
+ return t;
+}
+
template <unsigned Digits10, class ExponentType, class Allocator>
inline void eval_add(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const cpp_dec_float<Digits10, ExponentType, Allocator>& o)
{
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_add(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const boost::ulong_long_type& o)
+inline void eval_add(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const unsigned long long& o)
{
result.add_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_subtract(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const boost::ulong_long_type& o)
+inline void eval_subtract(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const unsigned long long& o)
{
result.sub_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_multiply(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const boost::ulong_long_type& o)
+inline void eval_multiply(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const unsigned long long& o)
{
result.mul_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_divide(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const boost::ulong_long_type& o)
+inline void eval_divide(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const unsigned long long& o)
{
result.div_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_add(cpp_dec_float<Digits10, ExponentType, Allocator>& result, boost::long_long_type o)
+inline void eval_add(cpp_dec_float<Digits10, ExponentType, Allocator>& result, long long o)
{
if (o < 0)
result.sub_unsigned_long_long(boost::multiprecision::detail::unsigned_abs(o));
result.add_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_subtract(cpp_dec_float<Digits10, ExponentType, Allocator>& result, boost::long_long_type o)
+inline void eval_subtract(cpp_dec_float<Digits10, ExponentType, Allocator>& result, long long o)
{
if (o < 0)
result.add_unsigned_long_long(boost::multiprecision::detail::unsigned_abs(o));
result.sub_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_multiply(cpp_dec_float<Digits10, ExponentType, Allocator>& result, boost::long_long_type o)
+inline void eval_multiply(cpp_dec_float<Digits10, ExponentType, Allocator>& result, long long o)
{
if (o < 0)
{
result.mul_unsigned_long_long(o);
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_divide(cpp_dec_float<Digits10, ExponentType, Allocator>& result, boost::long_long_type o)
+inline void eval_divide(cpp_dec_float<Digits10, ExponentType, Allocator>& result, long long o)
{
if (o < 0)
{
result.negate();
}
else
- result.div_unsigned_long_long(o);
+ result.div_unsigned_long_long(static_cast<unsigned long long>(o));
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_convert_to(boost::ulong_long_type* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
+inline void eval_convert_to(unsigned long long* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
{
*result = val.extract_unsigned_long_long();
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline void eval_convert_to(boost::long_long_type* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
+inline void eval_convert_to(long long* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
{
*result = val.extract_signed_long_long();
}
+#ifdef BOOST_HAS_INT128
+template <unsigned Digits10, class ExponentType, class Allocator>
+inline void eval_convert_to(uint128_type* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
+{
+ *result = val.extract_unsigned_int128();
+}
+template <unsigned Digits10, class ExponentType, class Allocator>
+inline void eval_convert_to(int128_type* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
+{
+ *result = val.extract_signed_int128();
+}
+#endif
template <unsigned Digits10, class ExponentType, class Allocator>
inline void eval_convert_to(long double* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
{
{
*result = val.extract_double();
}
+#if defined(BOOST_HAS_FLOAT128)
+template <unsigned Digits10, class ExponentType, class Allocator>
+inline void eval_convert_to(float128_type* result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
+{
+ *result = float128_procs::strtoflt128(val.str(0, std::ios_base::scientific).c_str(), nullptr);
+}
+#endif
//
// Non member function support:
inline ExponentType eval_ilogb(const cpp_dec_float<Digits10, ExponentType, Allocator>& val)
{
if (val.iszero())
- return (std::numeric_limits<ExponentType>::min)();
+ return (std::numeric_limits<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>::min)();
if ((val.isinf)())
return INT_MAX;
if ((val.isnan)())
inline void eval_scalbn(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const cpp_dec_float<Digits10, ExponentType, Allocator>& val, ArgType e_)
{
using default_ops::eval_multiply;
- const ExponentType e = static_cast<ExponentType>(e_);
+ const typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type e = static_cast<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>(e_);
cpp_dec_float<Digits10, ExponentType, Allocator> t(1.0, e);
eval_multiply(result, val, t);
}
template <unsigned Digits10, class ExponentType, class Allocator, class ArgType>
inline void eval_ldexp(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const cpp_dec_float<Digits10, ExponentType, Allocator>& x, ArgType e)
{
- const boost::long_long_type the_exp = static_cast<boost::long_long_type>(e);
+ const long long the_exp = static_cast<long long>(e);
- if ((the_exp > (std::numeric_limits<ExponentType>::max)()) || (the_exp < (std::numeric_limits<ExponentType>::min)()))
- BOOST_THROW_EXCEPTION(std::runtime_error(std::string("Exponent value is out of range.")));
+ if ((the_exp > (std::numeric_limits<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>::max)()) || (the_exp < (std::numeric_limits<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>::min)()))
+ BOOST_MP_THROW_EXCEPTION(std::runtime_error(std::string("Exponent value is out of range.")));
result = x;
- if ((the_exp > static_cast<boost::long_long_type>(-std::numeric_limits<boost::long_long_type>::digits)) && (the_exp < static_cast<boost::long_long_type>(0)))
- result.div_unsigned_long_long(1ULL << static_cast<boost::long_long_type>(-the_exp));
- else if ((the_exp < static_cast<boost::long_long_type>(std::numeric_limits<boost::long_long_type>::digits)) && (the_exp > static_cast<boost::long_long_type>(0)))
+ if ((the_exp > static_cast<long long>(-std::numeric_limits<long long>::digits)) && (the_exp < static_cast<long long>(0)))
+ result.div_unsigned_long_long(1ULL << static_cast<long long>(-the_exp));
+ else if ((the_exp < static_cast<long long>(std::numeric_limits<long long>::digits)) && (the_exp > static_cast<long long>(0)))
result.mul_unsigned_long_long(1ULL << the_exp);
- else if (the_exp != static_cast<boost::long_long_type>(0))
+ else if (the_exp != static_cast<long long>(0))
{
if ((the_exp < cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp / 2) && (x.order() > 0))
{
- boost::long_long_type half_exp = e / 2;
+ long long half_exp = e / 2;
cpp_dec_float<Digits10, ExponentType, Allocator> t = cpp_dec_float<Digits10, ExponentType, Allocator>::pow2(half_exp);
result *= t;
if (2 * half_exp != e)
if (result.isneg())
result.negate();
- ExponentType t = result.order();
+ typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type t = result.order();
BOOST_MP_USING_ABS
- if (abs(t) < ((std::numeric_limits<ExponentType>::max)() / 1000))
+ if (abs(t) < ((std::numeric_limits<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>::max)() / 1000))
{
t *= 1000;
t /= 301;
if (abs(result.order()) > 5)
{
// If our first estimate doesn't get close enough then try recursion until we do:
- ExponentType e2;
- cpp_dec_float<Digits10, ExponentType, Allocator> r2;
+ typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type e2;
+ cpp_dec_float<Digits10, ExponentType, Allocator> r2;
eval_frexp(r2, result, &e2);
// overflow protection:
- if ((t > 0) && (e2 > 0) && (t > (std::numeric_limits<ExponentType>::max)() - e2))
- BOOST_THROW_EXCEPTION(std::runtime_error("Exponent is too large to be represented as a power of 2."));
- if ((t < 0) && (e2 < 0) && (t < (std::numeric_limits<ExponentType>::min)() - e2))
- BOOST_THROW_EXCEPTION(std::runtime_error("Exponent is too large to be represented as a power of 2."));
+ if ((t > 0) && (e2 > 0) && (t > (std::numeric_limits<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>::max)() - e2))
+ BOOST_MP_THROW_EXCEPTION(std::runtime_error("Exponent is too large to be represented as a power of 2."));
+ if ((t < 0) && (e2 < 0) && (t < (std::numeric_limits<typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type>::min)() - e2))
+ BOOST_MP_THROW_EXCEPTION(std::runtime_error("Exponent is too large to be represented as a power of 2."));
t += e2;
result = r2;
}
}
template <unsigned Digits10, class ExponentType, class Allocator>
-inline typename disable_if<is_same<ExponentType, int> >::type eval_frexp(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const cpp_dec_float<Digits10, ExponentType, Allocator>& x, int* e)
+inline typename std::enable_if< !std::is_same<ExponentType, int>::value>::type eval_frexp(cpp_dec_float<Digits10, ExponentType, Allocator>& result, const cpp_dec_float<Digits10, ExponentType, Allocator>& x, int* e)
{
- ExponentType t;
+ typename cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type t;
eval_frexp(result, x, &t);
if ((t > (std::numeric_limits<int>::max)()) || (t < (std::numeric_limits<int>::min)()))
- BOOST_THROW_EXCEPTION(std::runtime_error("Exponent is outside the range of an int"));
+ BOOST_MP_THROW_EXCEPTION(std::runtime_error("Exponent is outside the range of an int"));
*e = static_cast<int>(t);
}
using boost::multiprecision::backends::cpp_dec_float;
-typedef number<cpp_dec_float<50> > cpp_dec_float_50;
-typedef number<cpp_dec_float<100> > cpp_dec_float_100;
+using cpp_dec_float_50 = number<cpp_dec_float<50> > ;
+using cpp_dec_float_100 = number<cpp_dec_float<100> >;
namespace detail {
//
// See ARGUMENT REDUCTION FOR HUGE ARGUMENTS. K C Ng.
//
- typedef boost::multiprecision::backends::cpp_dec_float<Digits10 * 3, ExponentType, Allocator> type;
+ using type = boost::multiprecision::backends::cpp_dec_float<Digits10 * 3, ExponentType, Allocator>;
};
-#ifdef BOOST_NO_SFINAE_EXPR
-
-template <unsigned D1, class E1, class A1, unsigned D2, class E2, class A2>
-struct is_explicitly_convertible<cpp_dec_float<D1, E1, A1>, cpp_dec_float<D2, E2, A2> > : public mpl::true_
-{};
-
-#endif
-
} // namespace detail
class numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >
{
public:
- BOOST_STATIC_CONSTEXPR bool is_specialized = true;
- BOOST_STATIC_CONSTEXPR bool is_signed = true;
- BOOST_STATIC_CONSTEXPR bool is_integer = false;
- BOOST_STATIC_CONSTEXPR bool is_exact = false;
- BOOST_STATIC_CONSTEXPR bool is_bounded = true;
- BOOST_STATIC_CONSTEXPR bool is_modulo = false;
- BOOST_STATIC_CONSTEXPR bool is_iec559 = false;
- BOOST_STATIC_CONSTEXPR int digits = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
- BOOST_STATIC_CONSTEXPR int digits10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
- BOOST_STATIC_CONSTEXPR int max_digits10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_total_digits10;
- BOOST_STATIC_CONSTEXPR ExponentType min_exponent = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp; // Type differs from int.
- BOOST_STATIC_CONSTEXPR ExponentType min_exponent10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp10; // Type differs from int.
- BOOST_STATIC_CONSTEXPR ExponentType max_exponent = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp; // Type differs from int.
- BOOST_STATIC_CONSTEXPR ExponentType max_exponent10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp10; // Type differs from int.
- BOOST_STATIC_CONSTEXPR int radix = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_radix;
- BOOST_STATIC_CONSTEXPR std::float_round_style round_style = std::round_indeterminate;
- BOOST_STATIC_CONSTEXPR bool has_infinity = true;
- BOOST_STATIC_CONSTEXPR bool has_quiet_NaN = true;
- BOOST_STATIC_CONSTEXPR bool has_signaling_NaN = false;
- BOOST_STATIC_CONSTEXPR std::float_denorm_style has_denorm = std::denorm_absent;
- BOOST_STATIC_CONSTEXPR bool has_denorm_loss = false;
- BOOST_STATIC_CONSTEXPR bool traps = false;
- BOOST_STATIC_CONSTEXPR bool tinyness_before = false;
-
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates>(min)() { return (boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::min)(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates>(max)() { return (boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::max)(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> lowest() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::zero(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> epsilon() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::eps(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> round_error() { return 0.5L; }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> infinity() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::inf(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> quiet_NaN() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::nan(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> signaling_NaN() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::zero(); }
- BOOST_STATIC_CONSTEXPR boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> denorm_min() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::zero(); }
+ static constexpr bool is_specialized = true;
+ static constexpr bool is_signed = true;
+ static constexpr bool is_integer = false;
+ static constexpr bool is_exact = false;
+ static constexpr bool is_bounded = true;
+ static constexpr bool is_modulo = false;
+ static constexpr bool is_iec559 = false;
+ static constexpr int digits = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
+ static constexpr int digits10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
+ static constexpr int max_digits10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_digits10;
+ static constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type min_exponent = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp; // Type differs from int.
+ static constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type min_exponent10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_min_exp10; // Type differs from int.
+ static constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type max_exponent = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp; // Type differs from int.
+ static constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type max_exponent10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_max_exp10; // Type differs from int.
+ static constexpr int radix = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_radix;
+ static constexpr std::float_round_style round_style = std::round_indeterminate;
+ static constexpr bool has_infinity = true;
+ static constexpr bool has_quiet_NaN = true;
+ static constexpr bool has_signaling_NaN = false;
+ static constexpr std::float_denorm_style has_denorm = std::denorm_absent;
+ static constexpr bool has_denorm_loss = false;
+ static constexpr bool traps = false;
+ static constexpr bool tinyness_before = false;
+
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates>(min)() { return (boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::min)(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates>(max)() { return (boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::max)(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> lowest() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::zero(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> epsilon() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::eps(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> round_error() { return 0.5L; }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> infinity() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::inf(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> quiet_NaN() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::nan(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> signaling_NaN() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::zero(); }
+ static constexpr boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> denorm_min() { return boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::zero(); }
};
-#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
-
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::digits;
+constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::digits;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::digits10;
+constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::digits10;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::max_digits10;
+constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::max_digits10;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_signed;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_signed;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_integer;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_integer;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_exact;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_exact;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::radix;
+constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::radix;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST ExponentType numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::min_exponent;
+constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::min_exponent;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST ExponentType numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::min_exponent10;
+constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::min_exponent10;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST ExponentType numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::max_exponent;
+constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::max_exponent;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST ExponentType numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::max_exponent10;
+constexpr typename boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::exponent_type numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::max_exponent10;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_infinity;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_infinity;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_quiet_NaN;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_quiet_NaN;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_signaling_NaN;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_signaling_NaN;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_denorm;
+constexpr float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_denorm;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_denorm_loss;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::has_denorm_loss;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_iec559;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_iec559;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_bounded;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_bounded;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_modulo;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::is_modulo;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::traps;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::traps;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::tinyness_before;
+constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::tinyness_before;
template <unsigned Digits10, class ExponentType, class Allocator, boost::multiprecision::expression_template_option ExpressionTemplates>
-BOOST_CONSTEXPR_OR_CONST float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::round_style;
+constexpr float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>, ExpressionTemplates> >::round_style;
-#endif
} // namespace std
+#ifdef BOOST_MP_MATH_AVAILABLE
namespace boost {
namespace math {
{
// Define a local copy of cpp_dec_float_digits10 because it might differ
// from the template parameter Digits10 for small or large digit counts.
- static const boost::int32_t cpp_dec_float_digits10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
+ static constexpr std::int32_t cpp_dec_float_digits10 = boost::multiprecision::cpp_dec_float<Digits10, ExponentType, Allocator>::cpp_dec_float_digits10;
- typedef typename Policy::precision_type precision_type;
- typedef digits2<((cpp_dec_float_digits10 + 1LL) * 1000LL) / 301LL> digits_2;
- typedef typename mpl::if_c<
+ using precision_type = typename Policy::precision_type ;
+ using digits_2 = digits2<((cpp_dec_float_digits10 + 1LL) * 1000LL) / 301LL>;
+ using type = typename std::conditional<
((digits_2::value <= precision_type::value) || (Policy::precision_type::value <= 0)),
// Default case, full precision for RealType:
digits_2,
// User customized precision:
- precision_type>::type type;
+ precision_type>::type;
};
}
}} // namespace boost::math::policies
+#endif
#ifdef BOOST_MSVC
#pragma warning(pop)
projects / ceph.git / blobdiff