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1
2// Copyright 2012 John Maddock. Distributed under the Boost
3// Software License, Version 1.0. (See accompanying file
92f5a8d4 4// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
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5
6#ifndef BOOST_MP_CPP_INT_CHECKED_HPP
7#define BOOST_MP_CPP_INT_CHECKED_HPP
8
92f5a8d4 9namespace boost { namespace multiprecision { namespace backends { namespace detail {
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10
11//
12// Simple routines for performing checked arithmetic with a builtin arithmetic type.
13// Note that this is not a complete header, it must be included as part of boost/multiprecision/cpp_int.hpp.
14//
15
16inline void raise_overflow(std::string op)
17{
18 BOOST_THROW_EXCEPTION(std::overflow_error("overflow in " + op));
19}
20inline void raise_add_overflow()
21{
22 raise_overflow("addition");
23}
24inline void raise_subtract_overflow()
25{
26 BOOST_THROW_EXCEPTION(std::range_error("Subtraction resulted in a negative value, but the type is unsigned"));
27}
28inline void raise_mul_overflow()
29{
30 raise_overflow("multiplication");
31}
32inline void raise_div_overflow()
33{
34 raise_overflow("division");
35}
36
37template <class A>
92f5a8d4 38inline BOOST_MP_CXX14_CONSTEXPR A checked_add_imp(A a, A b, const mpl::true_&)
7c673cae 39{
92f5a8d4 40 if (a > 0)
7c673cae 41 {
92f5a8d4 42 if ((b > 0) && ((integer_traits<A>::const_max - b) < a))
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43 raise_add_overflow();
44 }
45 else
46 {
92f5a8d4 47 if ((b < 0) && ((integer_traits<A>::const_min - b) > a))
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48 raise_add_overflow();
49 }
50 return a + b;
51}
52template <class A>
92f5a8d4 53inline BOOST_MP_CXX14_CONSTEXPR A checked_add_imp(A a, A b, const mpl::false_&)
7c673cae 54{
92f5a8d4 55 if ((integer_traits<A>::const_max - b) < a)
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56 raise_add_overflow();
57 return a + b;
58}
59template <class A>
92f5a8d4 60inline BOOST_MP_CXX14_CONSTEXPR A checked_add(A a, A b, const mpl::int_<checked>&)
7c673cae 61{
92f5a8d4 62 return checked_add_imp(a, b, mpl::bool_<boost::is_signed<A>::value>());
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63}
64template <class A>
92f5a8d4 65inline BOOST_MP_CXX14_CONSTEXPR A checked_add(A a, A b, const mpl::int_<unchecked>&)
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66{
67 return a + b;
68}
69
70template <class A>
92f5a8d4 71inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract_imp(A a, A b, const mpl::true_&)
7c673cae 72{
92f5a8d4 73 if (a > 0)
7c673cae 74 {
92f5a8d4 75 if ((b < 0) && ((integer_traits<A>::const_max + b) < a))
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76 raise_subtract_overflow();
77 }
78 else
79 {
92f5a8d4 80 if ((b > 0) && ((integer_traits<A>::const_min + b) > a))
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81 raise_subtract_overflow();
82 }
83 return a - b;
84}
85template <class A>
92f5a8d4 86inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract_imp(A a, A b, const mpl::false_&)
7c673cae 87{
92f5a8d4 88 if (a < b)
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89 raise_subtract_overflow();
90 return a - b;
91}
92template <class A>
92f5a8d4 93inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract(A a, A b, const mpl::int_<checked>&)
7c673cae 94{
92f5a8d4 95 return checked_subtract_imp(a, b, mpl::bool_<boost::is_signed<A>::value>());
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96}
97template <class A>
92f5a8d4 98inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract(A a, A b, const mpl::int_<unchecked>&)
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99{
100 return a - b;
101}
102
103template <class A>
92f5a8d4 104inline BOOST_MP_CXX14_CONSTEXPR A checked_multiply(A a, A b, const mpl::int_<checked>&)
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105{
106 BOOST_MP_USING_ABS
92f5a8d4 107 if (a && (integer_traits<A>::const_max / abs(a) < abs(b)))
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108 raise_mul_overflow();
109 return a * b;
110}
111template <class A>
92f5a8d4 112inline BOOST_MP_CXX14_CONSTEXPR A checked_multiply(A a, A b, const mpl::int_<unchecked>&)
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113{
114 return a * b;
115}
116
117template <class A>
92f5a8d4 118inline BOOST_MP_CXX14_CONSTEXPR A checked_divide(A a, A b, const mpl::int_<checked>&)
7c673cae 119{
92f5a8d4 120 if (b == 0)
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121 raise_div_overflow();
122 return a / b;
123}
124template <class A>
92f5a8d4 125inline BOOST_MP_CXX14_CONSTEXPR A checked_divide(A a, A b, const mpl::int_<unchecked>&)
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126{
127 return a / b;
128}
129
130template <class A>
92f5a8d4 131inline BOOST_MP_CXX14_CONSTEXPR A checked_left_shift(A a, boost::ulong_long_type shift, const mpl::int_<checked>&)
7c673cae 132{
92f5a8d4 133 if (a && shift)
7c673cae 134 {
92f5a8d4 135 if ((shift > sizeof(A) * CHAR_BIT) || (a >> (sizeof(A) * CHAR_BIT - shift)))
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136 BOOST_THROW_EXCEPTION(std::overflow_error("Shift out of range"));
137 }
138 return a << shift;
139}
140template <class A>
92f5a8d4 141inline BOOST_MP_CXX14_CONSTEXPR A checked_left_shift(A a, boost::ulong_long_type shift, const mpl::int_<unchecked>&)
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142{
143 return (shift >= sizeof(A) * CHAR_BIT) ? 0 : a << shift;
144}
145
92f5a8d4 146}}}} // namespace boost::multiprecision::backends::detail
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147
148#endif