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[EDIT] FILE: decimal

// <decimal> -*- C++ -*-

// Copyright (C) 2009-2018 Free Software Foundation, Inc.
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/** @file decimal/decimal
 *  This is a Standard C++ Library header.
 */

// ISO/IEC TR 24733 
// Written by Janis Johnson <janis187@us.ibm.com>

#ifndef _GLIBCXX_DECIMAL
#define _GLIBCXX_DECIMAL 1

#pragma GCC system_header

#include <bits/c++config.h>

#ifndef _GLIBCXX_USE_DECIMAL_FLOAT
#error This file requires compiler and library support for ISO/IEC TR 24733 \
that is currently not available.
#endif

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

/**
    * @defgroup decimal Decimal Floating-Point Arithmetic
    * @ingroup numerics
    *
    * Classes and functions for decimal floating-point arithmetic.
    * @{
    */

/** @namespace std::decimal
    * @brief ISO/IEC TR 24733 Decimal floating-point arithmetic.
    */
namespace decimal
{
  class decimal32;
  class decimal64;
  class decimal128;

// 3.2.5  Initialization from coefficient and exponent.
  static decimal32 make_decimal32(long long __coeff, int __exp);
  static decimal32 make_decimal32(unsigned long long __coeff, int __exp);
  static decimal64 make_decimal64(long long __coeff, int __exp);
  static decimal64 make_decimal64(unsigned long long __coeff, int __exp);
  static decimal128 make_decimal128(long long __coeff, int __exp);
  static decimal128 make_decimal128(unsigned long long __coeff, int __exp);

/// Non-conforming extension: Conversion to integral type.
  long long decimal32_to_long_long(decimal32 __d);
  long long decimal64_to_long_long(decimal64 __d);
  long long decimal128_to_long_long(decimal128 __d);
  long long decimal_to_long_long(decimal32 __d);
  long long decimal_to_long_long(decimal64 __d);
  long long decimal_to_long_long(decimal128 __d);

// 3.2.6  Conversion to generic floating-point type.
  float decimal32_to_float(decimal32 __d);
  float decimal64_to_float(decimal64 __d);
  float decimal128_to_float(decimal128 __d);
  float decimal_to_float(decimal32 __d);
  float decimal_to_float(decimal64 __d);
  float decimal_to_float(decimal128 __d);

double decimal32_to_double(decimal32 __d);
  double decimal64_to_double(decimal64 __d);
  double decimal128_to_double(decimal128 __d);
  double decimal_to_double(decimal32 __d);
  double decimal_to_double(decimal64 __d);
  double decimal_to_double(decimal128 __d);

long double decimal32_to_long_double(decimal32 __d);
  long double decimal64_to_long_double(decimal64 __d);
  long double decimal128_to_long_double(decimal128 __d);
  long double decimal_to_long_double(decimal32 __d);
  long double decimal_to_long_double(decimal64 __d);
  long double decimal_to_long_double(decimal128 __d);

// 3.2.7  Unary arithmetic operators.
  decimal32  operator+(decimal32 __rhs);
  decimal64  operator+(decimal64 __rhs);
  decimal128 operator+(decimal128 __rhs);
  decimal32  operator-(decimal32 __rhs);
  decimal64  operator-(decimal64 __rhs);
  decimal128 operator-(decimal128 __rhs);

// 3.2.8  Binary arithmetic operators.
#define _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(_Op, _T1, _T2, _T3)	\
  _T1 operator _Op(_T2 __lhs, _T3 __rhs);
#define _DECLARE_DECIMAL_BINARY_OP_WITH_INT(_Op, _Tp)		\
  _Tp operator _Op(_Tp __lhs, int __rhs);			\
  _Tp operator _Op(_Tp __lhs, unsigned int __rhs);		\
  _Tp operator _Op(_Tp __lhs, long __rhs);			\
  _Tp operator _Op(_Tp __lhs, unsigned long __rhs);		\
  _Tp operator _Op(_Tp __lhs, long long __rhs);			\
  _Tp operator _Op(_Tp __lhs, unsigned long long __rhs);	\
  _Tp operator _Op(int __lhs, _Tp __rhs);			\
  _Tp operator _Op(unsigned int __lhs, _Tp __rhs);		\
  _Tp operator _Op(long __lhs, _Tp __rhs);			\
  _Tp operator _Op(unsigned long __lhs, _Tp __rhs);		\
  _Tp operator _Op(long long __lhs, _Tp __rhs);			\
  _Tp operator _Op(unsigned long long __lhs, _Tp __rhs);

_DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal32, decimal32, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(+, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal64, decimal32, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal64, decimal64, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal64, decimal64, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(+, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal32, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal64, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal128, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal128, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal128, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(+, decimal128)

_DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal32, decimal32, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(-, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal64, decimal32, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal64, decimal64, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal64, decimal64, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(-, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal32, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal64, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal128, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal128, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal128, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(-, decimal128)

_DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal32, decimal32, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(*, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal64, decimal32, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal64, decimal64, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal64, decimal64, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(*, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal32, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal64, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal128, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal128, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal128, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(*, decimal128)

_DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal32, decimal32, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(/, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal64, decimal32, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal64, decimal64, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal64, decimal64, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(/, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal32, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal64, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal128, decimal32)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal128, decimal64)
  _DECLARE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal128, decimal128)
  _DECLARE_DECIMAL_BINARY_OP_WITH_INT(/, decimal128)

#undef _DECLARE_DECIMAL_BINARY_OP_WITH_DEC
#undef _DECLARE_DECIMAL_BINARY_OP_WITH_INT

// 3.2.9  Comparison operators.
#define _DECLARE_DECIMAL_COMPARISON(_Op, _Tp)				\
  bool operator _Op(_Tp __lhs, decimal32 __rhs);			\
  bool operator _Op(_Tp __lhs, decimal64 __rhs);			\
  bool operator _Op(_Tp __lhs, decimal128 __rhs);			\
  bool operator _Op(_Tp __lhs, int __rhs);				\
  bool operator _Op(_Tp __lhs, unsigned int __rhs);			\
  bool operator _Op(_Tp __lhs, long __rhs);				\
  bool operator _Op(_Tp __lhs, unsigned long __rhs);			\
  bool operator _Op(_Tp __lhs, long long __rhs);			\
  bool operator _Op(_Tp __lhs, unsigned long long __rhs);		\
  bool operator _Op(int __lhs, _Tp __rhs);				\
  bool operator _Op(unsigned int __lhs, _Tp __rhs);			\
  bool operator _Op(long __lhs, _Tp __rhs);				\
  bool operator _Op(unsigned long __lhs, _Tp __rhs);			\
  bool operator _Op(long long __lhs, _Tp __rhs);			\
  bool operator _Op(unsigned long long __lhs, _Tp __rhs);

_DECLARE_DECIMAL_COMPARISON(==, decimal32)
  _DECLARE_DECIMAL_COMPARISON(==, decimal64)
  _DECLARE_DECIMAL_COMPARISON(==, decimal128)

_DECLARE_DECIMAL_COMPARISON(!=, decimal32)
  _DECLARE_DECIMAL_COMPARISON(!=, decimal64)
  _DECLARE_DECIMAL_COMPARISON(!=, decimal128)

_DECLARE_DECIMAL_COMPARISON(<, decimal32)
  _DECLARE_DECIMAL_COMPARISON(<, decimal64)
  _DECLARE_DECIMAL_COMPARISON(<, decimal128)

_DECLARE_DECIMAL_COMPARISON(>=, decimal32)
  _DECLARE_DECIMAL_COMPARISON(>=, decimal64)
  _DECLARE_DECIMAL_COMPARISON(>=, decimal128)

_DECLARE_DECIMAL_COMPARISON(>, decimal32)
  _DECLARE_DECIMAL_COMPARISON(>, decimal64)
  _DECLARE_DECIMAL_COMPARISON(>, decimal128)

_DECLARE_DECIMAL_COMPARISON(>=, decimal32)
  _DECLARE_DECIMAL_COMPARISON(>=, decimal64)
  _DECLARE_DECIMAL_COMPARISON(>=, decimal128)

#undef _DECLARE_DECIMAL_COMPARISON

/// 3.2.2  Class decimal32.
  class decimal32
  {
  public:
    typedef float __decfloat32 __attribute__((mode(SD)));

// 3.2.2.2  Construct/copy/destroy.
    decimal32()					: __val(0.e-101DF) {}

// 3.2.2.3  Conversion from floating-point type.
    explicit decimal32(decimal64 __d64);
    explicit decimal32(decimal128 __d128);
    explicit decimal32(float __r)		: __val(__r) {}
    explicit decimal32(double __r)		: __val(__r) {}
    explicit decimal32(long double __r)		: __val(__r) {}

// 3.2.2.4  Conversion from integral type.
    decimal32(int __z)				: __val(__z) {}
    decimal32(unsigned int __z)			: __val(__z) {}
    decimal32(long __z)				: __val(__z) {}
    decimal32(unsigned long __z)		: __val(__z) {}
    decimal32(long long __z)			: __val(__z) {}
    decimal32(unsigned long long __z)		: __val(__z) {}

/// Conforming extension: Conversion from scalar decimal type.
    decimal32(__decfloat32 __z)			: __val(__z) {}

#if __cplusplus >= 201103L
    // 3.2.2.5  Conversion to integral type.
    // Note: explicit per n3407.
    explicit operator long long() const { return (long long)__val; }
#endif

// 3.2.2.6  Increment and decrement operators.
    decimal32& operator++()
    {
      __val += 1;
      return *this;
    }

decimal32 operator++(int)
    {
      decimal32 __tmp = *this;
      __val += 1;
      return __tmp;
    }

decimal32& operator--()
    {
      __val -= 1;
      return *this;
    }

decimal32   operator--(int)
    {
      decimal32 __tmp = *this;
      __val -= 1;
      return __tmp;
    }

// 3.2.2.7  Compound assignment.
#define _DECLARE_DECIMAL32_COMPOUND_ASSIGNMENT(_Op)	\
    decimal32& operator _Op(decimal32 __rhs);		\
    decimal32& operator _Op(decimal64 __rhs);		\
    decimal32& operator _Op(decimal128 __rhs);		\
    decimal32& operator _Op(int __rhs);			\
    decimal32& operator _Op(unsigned int __rhs);	\
    decimal32& operator _Op(long __rhs);		\
    decimal32& operator _Op(unsigned long __rhs);	\
    decimal32& operator _Op(long long __rhs);		\
    decimal32& operator _Op(unsigned long long __rhs);

_DECLARE_DECIMAL32_COMPOUND_ASSIGNMENT(+=)
    _DECLARE_DECIMAL32_COMPOUND_ASSIGNMENT(-=)
    _DECLARE_DECIMAL32_COMPOUND_ASSIGNMENT(*=)
    _DECLARE_DECIMAL32_COMPOUND_ASSIGNMENT(/=)
#undef _DECLARE_DECIMAL32_COMPOUND_ASSIGNMENT

private:
    __decfloat32 __val;

public:
    __decfloat32 __getval(void) { return __val; }
    void __setval(__decfloat32 __x) { __val = __x; }
  };

/// 3.2.3  Class decimal64.
  class decimal64
  {
  public:
    typedef float __decfloat64 __attribute__((mode(DD)));

// 3.2.3.2  Construct/copy/destroy.
    decimal64()					: __val(0.e-398dd) {}

// 3.2.3.3  Conversion from floating-point type.
	     decimal64(decimal32 d32);
    explicit decimal64(decimal128 d128);
    explicit decimal64(float __r)		: __val(__r) {}
    explicit decimal64(double __r)		: __val(__r) {}
    explicit decimal64(long double __r)		: __val(__r) {}

// 3.2.3.4  Conversion from integral type.
    decimal64(int __z)				: __val(__z) {}
    decimal64(unsigned int __z)			: __val(__z) {}
    decimal64(long __z)				: __val(__z) {}
    decimal64(unsigned long __z)		: __val(__z) {}
    decimal64(long long __z)			: __val(__z) {}
    decimal64(unsigned long long __z)		: __val(__z) {}

/// Conforming extension: Conversion from scalar decimal type.
    decimal64(__decfloat64 __z)			: __val(__z) {}

#if __cplusplus >= 201103L
    // 3.2.3.5  Conversion to integral type.
    // Note: explicit per n3407.
    explicit operator long long() const { return (long long)__val; }
#endif

// 3.2.3.6  Increment and decrement operators.
    decimal64& operator++()
    {
      __val += 1;
      return *this;
    }

decimal64 operator++(int)
    {
      decimal64 __tmp = *this;
      __val += 1;
      return __tmp;
    }

decimal64& operator--()
    {
      __val -= 1;
      return *this;
    }

decimal64 operator--(int)
    {
      decimal64 __tmp = *this;
      __val -= 1;
      return __tmp;
    }

// 3.2.3.7  Compound assignment.
#define _DECLARE_DECIMAL64_COMPOUND_ASSIGNMENT(_Op)	\
    decimal64& operator _Op(decimal32 __rhs);		\
    decimal64& operator _Op(decimal64 __rhs);		\
    decimal64& operator _Op(decimal128 __rhs);		\
    decimal64& operator _Op(int __rhs);			\
    decimal64& operator _Op(unsigned int __rhs);	\
    decimal64& operator _Op(long __rhs);		\
    decimal64& operator _Op(unsigned long __rhs);	\
    decimal64& operator _Op(long long __rhs);		\
    decimal64& operator _Op(unsigned long long __rhs);

_DECLARE_DECIMAL64_COMPOUND_ASSIGNMENT(+=)
    _DECLARE_DECIMAL64_COMPOUND_ASSIGNMENT(-=)
    _DECLARE_DECIMAL64_COMPOUND_ASSIGNMENT(*=)
    _DECLARE_DECIMAL64_COMPOUND_ASSIGNMENT(/=)
#undef _DECLARE_DECIMAL64_COMPOUND_ASSIGNMENT

private:
    __decfloat64 __val;

public:
    __decfloat64 __getval(void) { return __val; }
    void __setval(__decfloat64 __x) { __val = __x; }
  };

/// 3.2.4  Class decimal128.
  class decimal128
  {
  public:
    typedef float __decfloat128 __attribute__((mode(TD)));

// 3.2.4.2  Construct/copy/destroy.
    decimal128()				: __val(0.e-6176DL) {}

// 3.2.4.3  Conversion from floating-point type.
	     decimal128(decimal32 d32);
	     decimal128(decimal64 d64);
    explicit decimal128(float __r)		: __val(__r) {}
    explicit decimal128(double __r)		: __val(__r) {}
    explicit decimal128(long double __r)	: __val(__r) {}

// 3.2.4.4  Conversion from integral type.
    decimal128(int __z)				: __val(__z) {}
    decimal128(unsigned int __z)		: __val(__z) {}
    decimal128(long __z)			: __val(__z) {}
    decimal128(unsigned long __z)		: __val(__z) {}
    decimal128(long long __z)			: __val(__z) {}
    decimal128(unsigned long long __z)		: __val(__z) {}

/// Conforming extension: Conversion from scalar decimal type.
    decimal128(__decfloat128 __z)		: __val(__z) {}

#if __cplusplus >= 201103L
    // 3.2.4.5  Conversion to integral type.
    // Note: explicit per n3407.
    explicit operator long long() const { return (long long)__val; }
#endif

// 3.2.4.6  Increment and decrement operators.
    decimal128& operator++()
    {
      __val += 1;
      return *this;
    }

decimal128 operator++(int)
    {
      decimal128 __tmp = *this;
      __val += 1;
      return __tmp;
    }

decimal128& operator--()
    {
      __val -= 1;
      return *this;
    }

decimal128   operator--(int)
    {
      decimal128 __tmp = *this;
      __val -= 1;
      return __tmp;
    }

// 3.2.4.7  Compound assignment.
#define _DECLARE_DECIMAL128_COMPOUND_ASSIGNMENT(_Op)	\
    decimal128& operator _Op(decimal32 __rhs);		\
    decimal128& operator _Op(decimal64 __rhs);		\
    decimal128& operator _Op(decimal128 __rhs);		\
    decimal128& operator _Op(int __rhs);		\
    decimal128& operator _Op(unsigned int __rhs);	\
    decimal128& operator _Op(long __rhs);		\
    decimal128& operator _Op(unsigned long __rhs);	\
    decimal128& operator _Op(long long __rhs);		\
    decimal128& operator _Op(unsigned long long __rhs);

_DECLARE_DECIMAL128_COMPOUND_ASSIGNMENT(+=)
    _DECLARE_DECIMAL128_COMPOUND_ASSIGNMENT(-=)
    _DECLARE_DECIMAL128_COMPOUND_ASSIGNMENT(*=)
    _DECLARE_DECIMAL128_COMPOUND_ASSIGNMENT(/=)
#undef _DECLARE_DECIMAL128_COMPOUND_ASSIGNMENT

private:
    __decfloat128 __val;

public:
    __decfloat128 __getval(void) { return __val; }
    void __setval(__decfloat128 __x) { __val = __x; }
  };

#define _GLIBCXX_USE_DECIMAL_ 1
} // namespace decimal
  // @} group decimal

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace std

#include <decimal/decimal.h>

#endif /* _GLIBCXX_DECIMAL */

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