annotate DEPENDENCIES/generic/include/boost/multiprecision/rational_adaptor.hpp @ 16:2665513ce2d3

Add boost headers
author Chris Cannam
date Tue, 05 Aug 2014 11:11:38 +0100
parents
children c530137014c0
rev   line source
Chris@16 1 ///////////////////////////////////////////////////////////////
Chris@16 2 // Copyright 2011 John Maddock. Distributed under the Boost
Chris@16 3 // Software License, Version 1.0. (See accompanying file
Chris@16 4 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
Chris@16 5
Chris@16 6 #ifndef BOOST_MATH_RATIONAL_ADAPTER_HPP
Chris@16 7 #define BOOST_MATH_RATIONAL_ADAPTER_HPP
Chris@16 8
Chris@16 9 #include <iostream>
Chris@16 10 #include <iomanip>
Chris@16 11 #include <sstream>
Chris@16 12 #include <boost/cstdint.hpp>
Chris@16 13 #include <boost/multiprecision/number.hpp>
Chris@16 14 #ifdef BOOST_MSVC
Chris@16 15 # pragma warning(push)
Chris@16 16 # pragma warning(disable:4512 4127)
Chris@16 17 #endif
Chris@16 18 #include <boost/rational.hpp>
Chris@16 19 #ifdef BOOST_MSVC
Chris@16 20 # pragma warning(pop)
Chris@16 21 #endif
Chris@16 22
Chris@16 23 namespace boost{
Chris@16 24 namespace multiprecision{
Chris@16 25 namespace backends{
Chris@16 26
Chris@16 27 template <class IntBackend>
Chris@16 28 struct rational_adaptor
Chris@16 29 {
Chris@16 30 typedef number<IntBackend> integer_type;
Chris@16 31 typedef boost::rational<integer_type> rational_type;
Chris@16 32
Chris@16 33 typedef typename IntBackend::signed_types signed_types;
Chris@16 34 typedef typename IntBackend::unsigned_types unsigned_types;
Chris@16 35 typedef typename IntBackend::float_types float_types;
Chris@16 36
Chris@16 37 rational_adaptor(){}
Chris@16 38 rational_adaptor(const rational_adaptor& o)
Chris@16 39 {
Chris@16 40 m_value = o.m_value;
Chris@16 41 }
Chris@16 42 rational_adaptor(const IntBackend& o) : m_value(o) {}
Chris@16 43
Chris@16 44 template <class U>
Chris@16 45 rational_adaptor(const U& u, typename enable_if_c<is_convertible<U, IntBackend>::value>::type* = 0)
Chris@16 46 : m_value(IntBackend(u)){}
Chris@16 47 template <class U>
Chris@16 48 explicit rational_adaptor(const U& u,
Chris@16 49 typename enable_if_c<
Chris@16 50 boost::multiprecision::detail::is_explicitly_convertible<U, IntBackend>::value && !is_convertible<U, IntBackend>::value
Chris@16 51 >::type* = 0)
Chris@16 52 : m_value(IntBackend(u)){}
Chris@16 53 template <class U>
Chris@16 54 typename enable_if_c<(boost::multiprecision::detail::is_explicitly_convertible<U, IntBackend>::value && !is_arithmetic<U>::value), rational_adaptor&>::type operator = (const U& u)
Chris@16 55 {
Chris@16 56 m_value = IntBackend(u);
Chris@16 57 }
Chris@16 58
Chris@16 59 #ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
Chris@16 60 rational_adaptor(rational_adaptor&& o) : m_value(o.m_value) {}
Chris@16 61 rational_adaptor(IntBackend&& o) : m_value(o) {}
Chris@16 62 rational_adaptor& operator = (rational_adaptor&& o)
Chris@16 63 {
Chris@16 64 m_value = static_cast<rational_type&&>(o.m_value);
Chris@16 65 return *this;
Chris@16 66 }
Chris@16 67 #endif
Chris@16 68 rational_adaptor& operator = (const rational_adaptor& o)
Chris@16 69 {
Chris@16 70 m_value = o.m_value;
Chris@16 71 return *this;
Chris@16 72 }
Chris@16 73 rational_adaptor& operator = (const IntBackend& o)
Chris@16 74 {
Chris@16 75 m_value = o;
Chris@16 76 return *this;
Chris@16 77 }
Chris@16 78 template <class Int>
Chris@16 79 typename enable_if<is_integral<Int>, rational_adaptor&>::type operator = (Int i)
Chris@16 80 {
Chris@16 81 m_value = i;
Chris@16 82 return *this;
Chris@16 83 }
Chris@16 84 template <class Float>
Chris@16 85 typename enable_if<is_floating_point<Float>, rational_adaptor&>::type operator = (Float i)
Chris@16 86 {
Chris@16 87 int e;
Chris@16 88 Float f = std::frexp(i, &e);
Chris@16 89 f = std::ldexp(f, std::numeric_limits<Float>::digits);
Chris@16 90 e -= std::numeric_limits<Float>::digits;
Chris@16 91 integer_type num(f);
Chris@16 92 integer_type denom(1u);
Chris@16 93 if(e > 0)
Chris@16 94 {
Chris@16 95 num <<= e;
Chris@16 96 }
Chris@16 97 else if(e < 0)
Chris@16 98 {
Chris@16 99 denom <<= -e;
Chris@16 100 }
Chris@16 101 m_value.assign(num, denom);
Chris@16 102 return *this;
Chris@16 103 }
Chris@16 104 rational_adaptor& operator = (const char* s)
Chris@16 105 {
Chris@16 106 std::string s1;
Chris@16 107 multiprecision::number<IntBackend> v1, v2;
Chris@16 108 char c;
Chris@16 109 bool have_hex = false;
Chris@16 110 const char* p = s; // saved for later
Chris@16 111
Chris@16 112 while((0 != (c = *s)) && (c == 'x' || c == 'X' || c == '-' || c == '+' || (c >= '0' && c <= '9') || (have_hex && (c >= 'a' && c <= 'f')) || (have_hex && (c >= 'A' && c <= 'F'))))
Chris@16 113 {
Chris@16 114 if(c == 'x' || c == 'X')
Chris@16 115 have_hex = true;
Chris@16 116 s1.append(1, c);
Chris@16 117 ++s;
Chris@16 118 }
Chris@16 119 v1.assign(s1);
Chris@16 120 s1.erase();
Chris@16 121 if(c == '/')
Chris@16 122 {
Chris@16 123 ++s;
Chris@16 124 while((0 != (c = *s)) && (c == 'x' || c == 'X' || c == '-' || c == '+' || (c >= '0' && c <= '9') || (have_hex && (c >= 'a' && c <= 'f')) || (have_hex && (c >= 'A' && c <= 'F'))))
Chris@16 125 {
Chris@16 126 if(c == 'x' || c == 'X')
Chris@16 127 have_hex = true;
Chris@16 128 s1.append(1, c);
Chris@16 129 ++s;
Chris@16 130 }
Chris@16 131 v2.assign(s1);
Chris@16 132 }
Chris@16 133 else
Chris@16 134 v2 = 1;
Chris@16 135 if(*s)
Chris@16 136 {
Chris@16 137 BOOST_THROW_EXCEPTION(std::runtime_error(std::string("Could parse the string \"") + p + std::string("\" as a valid rational number.")));
Chris@16 138 }
Chris@16 139 data().assign(v1, v2);
Chris@16 140 return *this;
Chris@16 141 }
Chris@16 142 void swap(rational_adaptor& o)
Chris@16 143 {
Chris@16 144 std::swap(m_value, o.m_value);
Chris@16 145 }
Chris@16 146 std::string str(std::streamsize digits, std::ios_base::fmtflags f)const
Chris@16 147 {
Chris@16 148 //
Chris@16 149 // We format the string ourselves so we can match what GMP's mpq type does:
Chris@16 150 //
Chris@16 151 std::string result = data().numerator().str(digits, f);
Chris@16 152 if(data().denominator() != 1)
Chris@16 153 {
Chris@16 154 result.append(1, '/');
Chris@16 155 result.append(data().denominator().str(digits, f));
Chris@16 156 }
Chris@16 157 return result;
Chris@16 158 }
Chris@16 159 void negate()
Chris@16 160 {
Chris@16 161 m_value = -m_value;
Chris@16 162 }
Chris@16 163 int compare(const rational_adaptor& o)const
Chris@16 164 {
Chris@16 165 return m_value > o.m_value ? 1 : (m_value < o.m_value ? -1 : 0);
Chris@16 166 }
Chris@16 167 template <class Arithmatic>
Chris@16 168 typename enable_if<is_arithmetic<Arithmatic>, int>::type compare(Arithmatic i)const
Chris@16 169 {
Chris@16 170 return m_value > i ? 1 : (m_value < i ? -1 : 0);
Chris@16 171 }
Chris@16 172 rational_type& data() { return m_value; }
Chris@16 173 const rational_type& data()const { return m_value; }
Chris@16 174
Chris@16 175 template <class Archive>
Chris@16 176 void serialize(Archive& ar, const mpl::true_&)
Chris@16 177 {
Chris@16 178 // Saving
Chris@16 179 integer_type n(m_value.numerator()), d(m_value.denominator());
Chris@16 180 ar & n;
Chris@16 181 ar & d;
Chris@16 182 }
Chris@16 183 template <class Archive>
Chris@16 184 void serialize(Archive& ar, const mpl::false_&)
Chris@16 185 {
Chris@16 186 // Loading
Chris@16 187 integer_type n, d;
Chris@16 188 ar & n;
Chris@16 189 ar & d;
Chris@16 190 m_value.assign(n, d);
Chris@16 191 }
Chris@16 192 template <class Archive>
Chris@16 193 void serialize(Archive& ar, const unsigned int /*version*/)
Chris@16 194 {
Chris@16 195 typedef typename Archive::is_saving tag;
Chris@16 196 serialize(ar, tag());
Chris@16 197 }
Chris@16 198 private:
Chris@16 199 rational_type m_value;
Chris@16 200 };
Chris@16 201
Chris@16 202 template <class IntBackend>
Chris@16 203 inline void eval_add(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
Chris@16 204 {
Chris@16 205 result.data() += o.data();
Chris@16 206 }
Chris@16 207 template <class IntBackend>
Chris@16 208 inline void eval_subtract(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
Chris@16 209 {
Chris@16 210 result.data() -= o.data();
Chris@16 211 }
Chris@16 212 template <class IntBackend>
Chris@16 213 inline void eval_multiply(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
Chris@16 214 {
Chris@16 215 result.data() *= o.data();
Chris@16 216 }
Chris@16 217 template <class IntBackend>
Chris@16 218 inline void eval_divide(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
Chris@16 219 {
Chris@16 220 using default_ops::eval_is_zero;
Chris@16 221 if(eval_is_zero(o))
Chris@16 222 {
Chris@16 223 BOOST_THROW_EXCEPTION(std::overflow_error("Divide by zero."));
Chris@16 224 }
Chris@16 225 result.data() /= o.data();
Chris@16 226 }
Chris@16 227
Chris@16 228 template <class R, class IntBackend>
Chris@16 229 inline void eval_convert_to(R* result, const rational_adaptor<IntBackend>& backend)
Chris@16 230 {
Chris@16 231 *result = backend.data().numerator().template convert_to<R>();
Chris@16 232 *result /= backend.data().denominator().template convert_to<R>();
Chris@16 233 }
Chris@16 234
Chris@16 235 template <class IntBackend>
Chris@16 236 inline bool eval_is_zero(const rational_adaptor<IntBackend>& val)
Chris@16 237 {
Chris@16 238 return eval_is_zero(val.data().numerator().backend());
Chris@16 239 }
Chris@16 240 template <class IntBackend>
Chris@16 241 inline int eval_get_sign(const rational_adaptor<IntBackend>& val)
Chris@16 242 {
Chris@16 243 return eval_get_sign(val.data().numerator().backend());
Chris@16 244 }
Chris@16 245
Chris@16 246 template<class IntBackend, class V>
Chris@16 247 inline void assign_components(rational_adaptor<IntBackend>& result, const V& v1, const V& v2)
Chris@16 248 {
Chris@16 249 result.data().assign(v1, v2);
Chris@16 250 }
Chris@16 251
Chris@16 252 } // namespace backends
Chris@16 253
Chris@16 254 template<class IntBackend>
Chris@16 255 struct expression_template_default<backends::rational_adaptor<IntBackend> > : public expression_template_default<IntBackend> {};
Chris@16 256
Chris@16 257 template<class IntBackend>
Chris@16 258 struct number_category<backends::rational_adaptor<IntBackend> > : public mpl::int_<number_kind_rational>{};
Chris@16 259
Chris@16 260 using boost::multiprecision::backends::rational_adaptor;
Chris@16 261
Chris@16 262 template <class T>
Chris@16 263 struct component_type<rational_adaptor<T> >
Chris@16 264 {
Chris@16 265 typedef number<T> type;
Chris@16 266 };
Chris@16 267
Chris@16 268 template <class IntBackend, expression_template_option ET>
Chris@16 269 inline number<IntBackend, ET> numerator(const number<rational_adaptor<IntBackend>, ET>& val)
Chris@16 270 {
Chris@16 271 return val.backend().data().numerator();
Chris@16 272 }
Chris@16 273 template <class IntBackend, expression_template_option ET>
Chris@16 274 inline number<IntBackend, ET> denominator(const number<rational_adaptor<IntBackend>, ET>& val)
Chris@16 275 {
Chris@16 276 return val.backend().data().denominator();
Chris@16 277 }
Chris@16 278
Chris@16 279 #ifdef BOOST_NO_SFINAE_EXPR
Chris@16 280
Chris@16 281 namespace detail{
Chris@16 282
Chris@16 283 template<class U, class IntBackend>
Chris@16 284 struct is_explicitly_convertible<U, rational_adaptor<IntBackend> > : public is_explicitly_convertible<U, IntBackend> {};
Chris@16 285
Chris@16 286 }
Chris@16 287
Chris@16 288 #endif
Chris@16 289
Chris@16 290 }} // namespaces
Chris@16 291
Chris@16 292
Chris@16 293 namespace std{
Chris@16 294
Chris@16 295 template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
Chris@16 296 class numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> > : public std::numeric_limits<boost::multiprecision::number<IntBackend, ExpressionTemplates> >
Chris@16 297 {
Chris@16 298 typedef std::numeric_limits<boost::multiprecision::number<IntBackend> > base_type;
Chris@16 299 typedef boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend> > number_type;
Chris@16 300 public:
Chris@16 301 BOOST_STATIC_CONSTEXPR bool is_integer = false;
Chris@16 302 BOOST_STATIC_CONSTEXPR bool is_exact = true;
Chris@16 303 BOOST_STATIC_CONSTEXPR number_type (min)() { return (base_type::min)(); }
Chris@16 304 BOOST_STATIC_CONSTEXPR number_type (max)() { return (base_type::max)(); }
Chris@16 305 BOOST_STATIC_CONSTEXPR number_type lowest() { return -(max)(); }
Chris@16 306 BOOST_STATIC_CONSTEXPR number_type epsilon() { return base_type::epsilon(); }
Chris@16 307 BOOST_STATIC_CONSTEXPR number_type round_error() { return epsilon() / 2; }
Chris@16 308 BOOST_STATIC_CONSTEXPR number_type infinity() { return base_type::infinity(); }
Chris@16 309 BOOST_STATIC_CONSTEXPR number_type quiet_NaN() { return base_type::quiet_NaN(); }
Chris@16 310 BOOST_STATIC_CONSTEXPR number_type signaling_NaN() { return base_type::signaling_NaN(); }
Chris@16 311 BOOST_STATIC_CONSTEXPR number_type denorm_min() { return base_type::denorm_min(); }
Chris@16 312 };
Chris@16 313
Chris@16 314 #ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
Chris@16 315
Chris@16 316 template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
Chris@16 317 BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> >::is_integer;
Chris@16 318 template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
Chris@16 319 BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> >::is_exact;
Chris@16 320
Chris@16 321 #endif
Chris@16 322
Chris@16 323
Chris@16 324 }
Chris@16 325
Chris@16 326 #endif