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decimal.h
// decimal classes -*- C++ -*- // Copyright (C) 2009-2019 Free Software Foundation, Inc. // This file is part of the GNU ISO C++ Library. This library is free // software; you can redistribute it and/or modify it under the // terms of the GNU General Public License as published by the // Free Software Foundation; either version 3, or (at your option) // any later version. // This library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // 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.h * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{decimal} */ // ISO/IEC TR 24733 // Written by Janis Johnson <janis187@us.ibm.com> #ifndef _GLIBCXX_DECIMAL_IMPL #define _GLIBCXX_DECIMAL_IMPL 1 #pragma GCC system_header namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION namespace decimal { // ISO/IEC TR 24733 3.2.[234].1 Construct/copy/destroy. inline decimal32::decimal32(decimal64 __r) : __val(__r.__getval()) {} inline decimal32::decimal32(decimal128 __r) : __val(__r.__getval()) {} inline decimal64::decimal64(decimal32 __r) : __val(__r.__getval()) {} inline decimal64::decimal64(decimal128 __r) : __val(__r.__getval()) {} inline decimal128::decimal128(decimal32 __r) : __val(__r.__getval()) {} inline decimal128::decimal128(decimal64 __r) : __val(__r.__getval()) {} // ISO/IEC TR 24733 3.2.[234].6 Compound assignment. #define _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_DEC(_Op1, _Op2, _T1, _T2) \ inline _T1& _T1::operator _Op1(_T2 __rhs) \ { \ __setval(__getval() _Op2 __rhs.__getval()); \ return *this; \ } #define _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, _T2) \ inline _T1& _T1::operator _Op1(_T2 __rhs) \ { \ __setval(__getval() _Op2 __rhs); \ return *this; \ } #define _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(_Op1, _Op2, _T1) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_DEC(_Op1, _Op2, _T1, decimal32) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_DEC(_Op1, _Op2, _T1, decimal64) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_DEC(_Op1, _Op2, _T1, decimal128) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, int) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, unsigned int) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, long) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, unsigned long)\ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, long long) \ _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT(_Op1, _Op2, _T1, unsigned long long) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(+=, +, decimal32) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(-=, -, decimal32) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(*=, *, decimal32) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(/=, /, decimal32) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(+=, +, decimal64) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(-=, -, decimal64) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(*=, *, decimal64) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(/=, /, decimal64) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(+=, +, decimal128) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(-=, -, decimal128) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(*=, *, decimal128) _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS(/=, /, decimal128) #undef _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_DEC #undef _DEFINE_DECIMAL_COMPOUND_ASSIGNMENT_INT #undef _DEFINE_DECIMAL_COMPOUND_ASSIGNMENTS // Extension: Conversion to integral type. inline long long decimal32_to_long_long(decimal32 __d) { return (long long)__d.__getval(); } inline long long decimal64_to_long_long(decimal64 __d) { return (long long)__d.__getval(); } inline long long decimal128_to_long_long(decimal128 __d) { return (long long)__d.__getval(); } inline long long decimal_to_long_long(decimal32 __d) { return (long long)__d.__getval(); } inline long long decimal_to_long_long(decimal64 __d) { return (long long)__d.__getval(); } inline long long decimal_to_long_long(decimal128 __d) { return (long long)__d.__getval(); } // ISO/IEC TR 24733 3.2.5 Initialization from coefficient and exponent. static decimal32 make_decimal32(long long __coeff, int __exponent) { decimal32 __decexp = 1, __multiplier; if (__exponent < 0) { __multiplier = 1.E-1DF; __exponent = -__exponent; } else __multiplier = 1.E1DF; for (int __i = 0; __i < __exponent; ++__i) __decexp *= __multiplier; return __coeff * __decexp; } static decimal32 make_decimal32(unsigned long long __coeff, int __exponent) { decimal32 __decexp = 1, __multiplier; if (__exponent < 0) { __multiplier = 1.E-1DF; __exponent = -__exponent; } else __multiplier = 1.E1DF; for (int __i = 0; __i < __exponent; ++__i) __decexp *= __multiplier; return __coeff * __decexp; } static decimal64 make_decimal64(long long __coeff, int __exponent) { decimal64 __decexp = 1, __multiplier; if (__exponent < 0) { __multiplier = 1.E-1DD; __exponent = -__exponent; } else __multiplier = 1.E1DD; for (int __i = 0; __i < __exponent; ++__i) __decexp *= __multiplier; return __coeff * __decexp; } static decimal64 make_decimal64(unsigned long long __coeff, int __exponent) { decimal64 __decexp = 1, __multiplier; if (__exponent < 0) { __multiplier = 1.E-1DD; __exponent = -__exponent; } else __multiplier = 1.E1DD; for (int __i = 0; __i < __exponent; ++__i) __decexp *= __multiplier; return __coeff * __decexp; } static decimal128 make_decimal128(long long __coeff, int __exponent) { decimal128 __decexp = 1, __multiplier; if (__exponent < 0) { __multiplier = 1.E-1DL; __exponent = -__exponent; } else __multiplier = 1.E1DL; for (int __i = 0; __i < __exponent; ++__i) __decexp *= __multiplier; return __coeff * __decexp; } static decimal128 make_decimal128(unsigned long long __coeff, int __exponent) { decimal128 __decexp = 1, __multiplier; if (__exponent < 0) { __multiplier = 1.E-1DL; __exponent = -__exponent; } else __multiplier = 1.E1DL; for (int __i = 0; __i < __exponent; ++__i) __decexp *= __multiplier; return __coeff * __decexp; } // ISO/IEC TR 24733 3.2.6 Conversion to generic floating-point type. inline float decimal32_to_float(decimal32 __d) { return (float)__d.__getval(); } inline float decimal64_to_float(decimal64 __d) { return (float)__d.__getval(); } inline float decimal128_to_float(decimal128 __d) { return (float)__d.__getval(); } inline float decimal_to_float(decimal32 __d) { return (float)__d.__getval(); } inline float decimal_to_float(decimal64 __d) { return (float)__d.__getval(); } inline float decimal_to_float(decimal128 __d) { return (float)__d.__getval(); } inline double decimal32_to_double(decimal32 __d) { return (double)__d.__getval(); } inline double decimal64_to_double(decimal64 __d) { return (double)__d.__getval(); } inline double decimal128_to_double(decimal128 __d) { return (double)__d.__getval(); } inline double decimal_to_double(decimal32 __d) { return (double)__d.__getval(); } inline double decimal_to_double(decimal64 __d) { return (double)__d.__getval(); } inline double decimal_to_double(decimal128 __d) { return (double)__d.__getval(); } inline long double decimal32_to_long_double(decimal32 __d) { return (long double)__d.__getval(); } inline long double decimal64_to_long_double(decimal64 __d) { return (long double)__d.__getval(); } inline long double decimal128_to_long_double(decimal128 __d) { return (long double)__d.__getval(); } inline long double decimal_to_long_double(decimal32 __d) { return (long double)__d.__getval(); } inline long double decimal_to_long_double(decimal64 __d) { return (long double)__d.__getval(); } inline long double decimal_to_long_double(decimal128 __d) { return (long double)__d.__getval(); } // ISO/IEC TR 24733 3.2.7 Unary arithmetic operators. #define _DEFINE_DECIMAL_UNARY_OP(_Op, _Tp) \ inline _Tp operator _Op(_Tp __rhs) \ { \ _Tp __tmp; \ __tmp.__setval(_Op __rhs.__getval()); \ return __tmp; \ } _DEFINE_DECIMAL_UNARY_OP(+, decimal32) _DEFINE_DECIMAL_UNARY_OP(+, decimal64) _DEFINE_DECIMAL_UNARY_OP(+, decimal128) _DEFINE_DECIMAL_UNARY_OP(-, decimal32) _DEFINE_DECIMAL_UNARY_OP(-, decimal64) _DEFINE_DECIMAL_UNARY_OP(-, decimal128) #undef _DEFINE_DECIMAL_UNARY_OP // ISO/IEC TR 24733 3.2.8 Binary arithmetic operators. #define _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(_Op, _T1, _T2, _T3) \ inline _T1 operator _Op(_T2 __lhs, _T3 __rhs) \ { \ _T1 __retval; \ __retval.__setval(__lhs.__getval() _Op __rhs.__getval()); \ return __retval; \ } #define _DEFINE_DECIMAL_BINARY_OP_BOTH(_Op, _T1, _T2, _T3) \ inline _T1 operator _Op(_T2 __lhs, _T3 __rhs) \ { \ _T1 __retval; \ __retval.__setval(__lhs.__getval() _Op __rhs.__getval()); \ return __retval; \ } #define _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, _T2) \ inline _T1 operator _Op(_T1 __lhs, _T2 __rhs) \ { \ _T1 __retval; \ __retval.__setval(__lhs.__getval() _Op __rhs); \ return __retval; \ } #define _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, _T2) \ inline _T1 operator _Op(_T2 __lhs, _T1 __rhs) \ { \ _T1 __retval; \ __retval.__setval(__lhs _Op __rhs.__getval()); \ return __retval; \ } #define _DEFINE_DECIMAL_BINARY_OP_WITH_INT(_Op, _T1) \ _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, int); \ _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, unsigned int); \ _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, long); \ _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, unsigned long); \ _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, long long); \ _DEFINE_DECIMAL_BINARY_OP_LHS(_Op, _T1, unsigned long long); \ _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, int); \ _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, unsigned int); \ _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, long); \ _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, unsigned long); \ _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, long long); \ _DEFINE_DECIMAL_BINARY_OP_RHS(_Op, _T1, unsigned long long); \ _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal32, decimal32, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(+, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal64, decimal32, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal64, decimal64, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal64, decimal64, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(+, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal32, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal64, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal128, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal128, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(+, decimal128, decimal128, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(+, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal32, decimal32, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(-, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal64, decimal32, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal64, decimal64, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal64, decimal64, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(-, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal32, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal64, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal128, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal128, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(-, decimal128, decimal128, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(-, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal32, decimal32, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(*, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal64, decimal32, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal64, decimal64, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal64, decimal64, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(*, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal32, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal64, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal128, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal128, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(*, decimal128, decimal128, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(*, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal32, decimal32, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(/, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal64, decimal32, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal64, decimal64, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal64, decimal64, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(/, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal32, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal64, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal128, decimal32) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal128, decimal64) _DEFINE_DECIMAL_BINARY_OP_WITH_DEC(/, decimal128, decimal128, decimal128) _DEFINE_DECIMAL_BINARY_OP_WITH_INT(/, decimal128) #undef _DEFINE_DECIMAL_BINARY_OP_WITH_DEC #undef _DEFINE_DECIMAL_BINARY_OP_BOTH #undef _DEFINE_DECIMAL_BINARY_OP_LHS #undef _DEFINE_DECIMAL_BINARY_OP_RHS #undef _DEFINE_DECIMAL_BINARY_OP_WITH_INT // ISO/IEC TR 24733 3.2.9 Comparison operators. #define _DEFINE_DECIMAL_COMPARISON_BOTH(_Op, _T1, _T2) \ inline bool operator _Op(_T1 __lhs, _T2 __rhs) \ { return __lhs.__getval() _Op __rhs.__getval(); } #define _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _T1, _T2) \ inline bool operator _Op(_T1 __lhs, _T2 __rhs) \ { return __lhs.__getval() _Op __rhs; } #define _DEFINE_DECIMAL_COMPARISON_RHS(_Op, _T1, _T2) \ inline bool operator _Op(_T1 __lhs, _T2 __rhs) \ { return __lhs _Op __rhs.__getval(); } #define _DEFINE_DECIMAL_COMPARISONS(_Op, _Tp) \ _DEFINE_DECIMAL_COMPARISON_BOTH(_Op, _Tp, decimal32) \ _DEFINE_DECIMAL_COMPARISON_BOTH(_Op, _Tp, decimal64) \ _DEFINE_DECIMAL_COMPARISON_BOTH(_Op, _Tp, decimal128) \ _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _Tp, int) \ _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _Tp, unsigned int) \ _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _Tp, long) \ _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _Tp, unsigned long) \ _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _Tp, long long) \ _DEFINE_DECIMAL_COMPARISON_LHS(_Op, _Tp, unsigned long long) \ _DEFINE_DECIMAL_COMPARISON_RHS(_Op, int, _Tp) \ _DEFINE_DECIMAL_COMPARISON_RHS(_Op, unsigned int, _Tp) \ _DEFINE_DECIMAL_COMPARISON_RHS(_Op, long, _Tp) \ _DEFINE_DECIMAL_COMPARISON_RHS(_Op, unsigned long, _Tp) \ _DEFINE_DECIMAL_COMPARISON_RHS(_Op, long long, _Tp) \ _DEFINE_DECIMAL_COMPARISON_RHS(_Op, unsigned long long, _Tp) _DEFINE_DECIMAL_COMPARISONS(==, decimal32) _DEFINE_DECIMAL_COMPARISONS(==, decimal64) _DEFINE_DECIMAL_COMPARISONS(==, decimal128) _DEFINE_DECIMAL_COMPARISONS(!=, decimal32) _DEFINE_DECIMAL_COMPARISONS(!=, decimal64) _DEFINE_DECIMAL_COMPARISONS(!=, decimal128) _DEFINE_DECIMAL_COMPARISONS(<, decimal32) _DEFINE_DECIMAL_COMPARISONS(<, decimal64) _DEFINE_DECIMAL_COMPARISONS(<, decimal128) _DEFINE_DECIMAL_COMPARISONS(<=, decimal32) _DEFINE_DECIMAL_COMPARISONS(<=, decimal64) _DEFINE_DECIMAL_COMPARISONS(<=, decimal128) _DEFINE_DECIMAL_COMPARISONS(>, decimal32) _DEFINE_DECIMAL_COMPARISONS(>, decimal64) _DEFINE_DECIMAL_COMPARISONS(>, decimal128) _DEFINE_DECIMAL_COMPARISONS(>=, decimal32) _DEFINE_DECIMAL_COMPARISONS(>=, decimal64) _DEFINE_DECIMAL_COMPARISONS(>=, decimal128) #undef _DEFINE_DECIMAL_COMPARISON_BOTH #undef _DEFINE_DECIMAL_COMPARISON_LHS #undef _DEFINE_DECIMAL_COMPARISON_RHS #undef _DEFINE_DECIMAL_COMPARISONS } // namespace decimal _GLIBCXX_END_NAMESPACE_VERSION } // namespace std #endif /* _GLIBCXX_DECIMAL_IMPL */