[857] | 1 | // Boost common_factor_ct.hpp header file ----------------------------------//
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| 2 |
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| 3 | // (C) Copyright Daryle Walker and Stephen Cleary 2001-2002.
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| 4 | // Distributed under the Boost Software License, Version 1.0. (See
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| 5 | // accompanying file LICENSE_1_0.txt or copy at
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| 6 | // http://www.boost.org/LICENSE_1_0.txt)
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| 7 |
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| 8 | // See http://www.boost.org for updates, documentation, and revision history.
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| 9 |
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| 10 | #ifndef BOOST_MATH_COMMON_FACTOR_CT_HPP
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| 11 | #define BOOST_MATH_COMMON_FACTOR_CT_HPP
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| 12 |
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| 13 | #include <boost/math_fwd.hpp> // self include
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| 14 |
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| 15 | #include <boost/config.hpp> // for BOOST_STATIC_CONSTANT, etc.
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| 16 |
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| 17 |
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| 18 | namespace boost
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| 19 | {
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| 20 | namespace math
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| 21 | {
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| 22 |
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| 23 |
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| 24 | // Implementation details --------------------------------------------------//
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| 25 |
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| 26 | namespace detail
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| 27 | {
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| 28 | #ifndef BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
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| 29 | // Build GCD with Euclid's recursive algorithm
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| 30 | template < unsigned long Value1, unsigned long Value2 >
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| 31 | struct static_gcd_helper_t
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| 32 | {
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| 33 | private:
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| 34 | BOOST_STATIC_CONSTANT( unsigned long, new_value1 = Value2 );
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| 35 | BOOST_STATIC_CONSTANT( unsigned long, new_value2 = Value1 % Value2 );
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| 36 |
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| 37 | #ifndef __BORLANDC__
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| 38 | #define BOOST_DETAIL_GCD_HELPER_VAL(Value) static_cast<unsigned long>(Value)
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| 39 | #else
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| 40 | typedef static_gcd_helper_t self_type;
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| 41 | #define BOOST_DETAIL_GCD_HELPER_VAL(Value) (self_type:: Value )
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| 42 | #endif
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| 43 |
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| 44 | typedef static_gcd_helper_t< BOOST_DETAIL_GCD_HELPER_VAL(new_value1),
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| 45 | BOOST_DETAIL_GCD_HELPER_VAL(new_value2) > next_step_type;
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| 46 |
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| 47 | #undef BOOST_DETAIL_GCD_HELPER_VAL
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| 48 |
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| 49 | public:
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| 50 | BOOST_STATIC_CONSTANT( unsigned long, value = next_step_type::value );
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| 51 | };
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| 52 |
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| 53 | // Non-recursive case
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| 54 | template < unsigned long Value1 >
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| 55 | struct static_gcd_helper_t< Value1, 0UL >
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| 56 | {
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| 57 | BOOST_STATIC_CONSTANT( unsigned long, value = Value1 );
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| 58 | };
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| 59 | #else
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| 60 | // Use inner class template workaround from Peter Dimov
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| 61 | template < unsigned long Value1 >
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| 62 | struct static_gcd_helper2_t
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| 63 | {
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| 64 | template < unsigned long Value2 >
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| 65 | struct helper
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| 66 | {
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| 67 | BOOST_STATIC_CONSTANT( unsigned long, value
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| 68 | = static_gcd_helper2_t<Value2>::BOOST_NESTED_TEMPLATE
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| 69 | helper<Value1 % Value2>::value );
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| 70 | };
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| 71 |
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| 72 | template < >
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| 73 | struct helper< 0UL >
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| 74 | {
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| 75 | BOOST_STATIC_CONSTANT( unsigned long, value = Value1 );
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| 76 | };
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| 77 | };
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| 78 |
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| 79 | // Special case
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| 80 | template < >
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| 81 | struct static_gcd_helper2_t< 0UL >
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| 82 | {
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| 83 | template < unsigned long Value2 >
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| 84 | struct helper
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| 85 | {
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| 86 | BOOST_STATIC_CONSTANT( unsigned long, value = Value2 );
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| 87 | };
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| 88 | };
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| 89 |
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| 90 | // Build the GCD from the above template(s)
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| 91 | template < unsigned long Value1, unsigned long Value2 >
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| 92 | struct static_gcd_helper_t
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| 93 | {
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| 94 | BOOST_STATIC_CONSTANT( unsigned long, value
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| 95 | = static_gcd_helper2_t<Value1>::BOOST_NESTED_TEMPLATE
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| 96 | helper<Value2>::value );
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| 97 | };
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| 98 | #endif
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| 99 |
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| 100 | #ifndef BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
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| 101 | // Build the LCM from the GCD
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| 102 | template < unsigned long Value1, unsigned long Value2 >
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| 103 | struct static_lcm_helper_t
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| 104 | {
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| 105 | typedef static_gcd_helper_t<Value1, Value2> gcd_type;
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| 106 |
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| 107 | BOOST_STATIC_CONSTANT( unsigned long, value = Value1 / gcd_type::value
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| 108 | * Value2 );
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| 109 | };
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| 110 |
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| 111 | // Special case for zero-GCD values
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| 112 | template < >
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| 113 | struct static_lcm_helper_t< 0UL, 0UL >
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| 114 | {
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| 115 | BOOST_STATIC_CONSTANT( unsigned long, value = 0UL );
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| 116 | };
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| 117 | #else
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| 118 | // Adapt GCD's inner class template workaround for LCM
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| 119 | template < unsigned long Value1 >
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| 120 | struct static_lcm_helper2_t
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| 121 | {
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| 122 | template < unsigned long Value2 >
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| 123 | struct helper
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| 124 | {
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| 125 | typedef static_gcd_helper_t<Value1, Value2> gcd_type;
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| 126 |
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| 127 | BOOST_STATIC_CONSTANT( unsigned long, value = Value1
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| 128 | / gcd_type::value * Value2 );
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| 129 | };
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| 130 |
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| 131 | template < >
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| 132 | struct helper< 0UL >
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| 133 | {
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| 134 | BOOST_STATIC_CONSTANT( unsigned long, value = 0UL );
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| 135 | };
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| 136 | };
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| 137 |
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| 138 | // Special case
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| 139 | template < >
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| 140 | struct static_lcm_helper2_t< 0UL >
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| 141 | {
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| 142 | template < unsigned long Value2 >
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| 143 | struct helper
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| 144 | {
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| 145 | BOOST_STATIC_CONSTANT( unsigned long, value = 0UL );
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| 146 | };
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| 147 | };
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| 148 |
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| 149 | // Build the LCM from the above template(s)
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| 150 | template < unsigned long Value1, unsigned long Value2 >
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| 151 | struct static_lcm_helper_t
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| 152 | {
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| 153 | BOOST_STATIC_CONSTANT( unsigned long, value
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| 154 | = static_lcm_helper2_t<Value1>::BOOST_NESTED_TEMPLATE
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| 155 | helper<Value2>::value );
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| 156 | };
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| 157 | #endif
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| 158 |
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| 159 | } // namespace detail
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| 160 |
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| 161 |
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| 162 | // Compile-time greatest common divisor evaluator class declaration --------//
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| 163 |
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| 164 | template < unsigned long Value1, unsigned long Value2 >
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| 165 | struct static_gcd
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| 166 | {
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| 167 | BOOST_STATIC_CONSTANT( unsigned long, value
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| 168 | = (detail::static_gcd_helper_t<Value1, Value2>::value) );
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| 169 |
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| 170 | }; // boost::math::static_gcd
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| 171 |
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| 172 |
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| 173 | // Compile-time least common multiple evaluator class declaration ----------//
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| 174 |
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| 175 | template < unsigned long Value1, unsigned long Value2 >
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| 176 | struct static_lcm
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| 177 | {
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| 178 | BOOST_STATIC_CONSTANT( unsigned long, value
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| 179 | = (detail::static_lcm_helper_t<Value1, Value2>::value) );
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| 180 |
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| 181 | }; // boost::math::static_lcm
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| 182 |
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| 183 |
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| 184 | } // namespace math
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| 185 | } // namespace boost
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| 186 |
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| 187 |
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| 188 | #endif // BOOST_MATH_COMMON_FACTOR_CT_HPP
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