ceph/src/boost/libs/multiprecision/include/boost/multiprecision/rational_adaptor.hpp

   1 ///////////////////////////////////////////////////////////////
   2 //  Copyright 2011 John Maddock. Distributed under the Boost
   3 //  Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
   5
   6 #ifndef BOOST_MATH_RATIONAL_ADAPTER_HPP
   7 #define BOOST_MATH_RATIONAL_ADAPTER_HPP
   8
   9 #include <iostream>
  10 #include <iomanip>
  11 #include <sstream>
  12 #include <boost/cstdint.hpp>
  13 #include <boost/functional/hash_fwd.hpp>
  14 #include <boost/multiprecision/number.hpp>
  15 #ifdef BOOST_MSVC
  16 #  pragma warning(push)
  17 #  pragma warning(disable:4512 4127)
  18 #endif
  19 #include <boost/rational.hpp>
  20 #ifdef BOOST_MSVC
  21 #  pragma warning(pop)
  22 #endif
  23
  24 namespace boost{
  25 namespace multiprecision{
  26 namespace backends{
  27
  28 template <class IntBackend>
  29 struct rational_adaptor
  30 {
  31    typedef number<IntBackend>                integer_type;
  32    typedef boost::rational<integer_type>        rational_type;
  33
  34    typedef typename IntBackend::signed_types    signed_types;
  35    typedef typename IntBackend::unsigned_types  unsigned_types;
  36    typedef typename IntBackend::float_types     float_types;
  37
  38    rational_adaptor() BOOST_MP_NOEXCEPT_IF(noexcept(rational_type())) {}
  39    rational_adaptor(const rational_adaptor& o) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<rational_type&>() = std::declval<const rational_type&>()))
  40    {
  41       m_value = o.m_value;
  42    }
  43    rational_adaptor(const IntBackend& o) BOOST_MP_NOEXCEPT_IF(noexcept(rational_type(std::declval<const IntBackend&>()))) : m_value(o) {}
  44
  45    template <class U>
  46    rational_adaptor(const U& u, typename enable_if_c<is_convertible<U, IntBackend>::value>::type* = 0)
  47       : m_value(static_cast<integer_type>(u)){}
  48    template <class U>
  49    explicit rational_adaptor(const U& u,
  50       typename enable_if_c<
  51          boost::multiprecision::detail::is_explicitly_convertible<U, IntBackend>::value && !is_convertible<U, IntBackend>::value
  52       >::type* = 0)
  53       : m_value(IntBackend(u)){}
  54    template <class U>
  55    typename enable_if_c<(boost::multiprecision::detail::is_explicitly_convertible<U, IntBackend>::value && !is_arithmetic<U>::value), rational_adaptor&>::type operator = (const U& u)
  56    {
  57       m_value = IntBackend(u);
  58       return *this;
  59    }
  60
  61 #ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
  62    rational_adaptor(rational_adaptor&& o) BOOST_MP_NOEXCEPT_IF(noexcept(rational_type(std::declval<rational_type>()))) : m_value(static_cast<rational_type&&>(o.m_value)) {}
  63    rational_adaptor(IntBackend&& o) BOOST_MP_NOEXCEPT_IF(noexcept(rational_type(std::declval<IntBackend>()))) : m_value(static_cast<IntBackend&&>(o)) {}
  64    rational_adaptor& operator = (rational_adaptor&& o) BOOST_MP_NOEXCEPT_IF(noexcept(std::declval<rational_type&>() = std::declval<rational_type>()))
  65    {
  66       m_value = static_cast<rational_type&&>(o.m_value);
  67       return *this;
  68    }
  69 #endif
  70    rational_adaptor& operator = (const rational_adaptor& o)
  71    {
  72       m_value = o.m_value;
  73       return *this;
  74    }
  75    rational_adaptor& operator = (const IntBackend& o)
  76    {
  77       m_value = o;
  78       return *this;
  79    }
  80    template <class Int>
  81    typename enable_if<is_integral<Int>, rational_adaptor&>::type operator = (Int i)
  82    {
  83       m_value = i;
  84       return *this;
  85    }
  86    template <class Float>
  87    typename enable_if<is_floating_point<Float>, rational_adaptor&>::type operator = (Float i)
  88    {
  89       int e;
  90       Float f = std::frexp(i, &e);
  91       f = std::ldexp(f, std::numeric_limits<Float>::digits);
  92       e -= std::numeric_limits<Float>::digits;
  93       integer_type num(f);
  94       integer_type denom(1u);
  95       if(e > 0)
  96       {
  97          num <<= e;
  98       }
  99       else if(e < 0)
 100       {
 101          denom <<= -e;
 102       }
 103       m_value.assign(num, denom);
 104       return *this;
 105    }
 106    rational_adaptor& operator = (const char* s)
 107    {
 108       std::string s1;
 109       multiprecision::number<IntBackend> v1, v2;
 110       char c;
 111       bool have_hex = false;
 112       const char* p = s; // saved for later
 113
 114       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'))))
 115       {
 116          if(c == 'x' || c == 'X')
 117             have_hex = true;
 118          s1.append(1, c);
 119          ++s;
 120       }
 121       v1.assign(s1);
 122       s1.erase();
 123       if(c == '/')
 124       {
 125          ++s;
 126          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'))))
 127          {
 128             if(c == 'x' || c == 'X')
 129                have_hex = true;
 130             s1.append(1, c);
 131             ++s;
 132          }
 133          v2.assign(s1);
 134       }
 135       else
 136          v2 = 1;
 137       if(*s)
 138       {
 139          BOOST_THROW_EXCEPTION(std::runtime_error(std::string("Could not parse the string \"") + p + std::string("\" as a valid rational number.")));
 140       }
 141       data().assign(v1, v2);
 142       return *this;
 143    }
 144    void swap(rational_adaptor& o)
 145    {
 146       std::swap(m_value, o.m_value);
 147    }
 148    std::string str(std::streamsize digits, std::ios_base::fmtflags f)const
 149    {
 150       //
 151       // We format the string ourselves so we can match what GMP's mpq type does:
 152       //
 153       std::string result = data().numerator().str(digits, f);
 154       if(data().denominator() != 1)
 155       {
 156          result.append(1, '/');
 157          result.append(data().denominator().str(digits, f));
 158       }
 159       return result;
 160    }
 161    void negate()
 162    {
 163       m_value = -m_value;
 164    }
 165    int compare(const rational_adaptor& o)const
 166    {
 167       return m_value > o.m_value ? 1 : (m_value < o.m_value ? -1 : 0);
 168    }
 169    template <class Arithmatic>
 170    typename enable_if_c<is_arithmetic<Arithmatic>::value && !is_floating_point<Arithmatic>::value, int>::type compare(Arithmatic i)const
 171    {
 172       return m_value > i ? 1 : (m_value < i ? -1 : 0);
 173    }
 174    template <class Arithmatic>
 175    typename enable_if_c<is_floating_point<Arithmatic>::value, int>::type compare(Arithmatic i)const
 176    {
 177       rational_adaptor r;
 178       r = i;
 179       return this->compare(r);
 180    }
 181    rational_type& data() { return m_value; }
 182    const rational_type& data()const { return m_value; }
 183
 184    template <class Archive>
 185    void serialize(Archive& ar, const mpl::true_&)
 186    {
 187       // Saving
 188       integer_type n(m_value.numerator()), d(m_value.denominator());
 189       ar & n;
 190       ar & d;
 191    }
 192    template <class Archive>
 193    void serialize(Archive& ar, const mpl::false_&)
 194    {
 195       // Loading
 196       integer_type n, d;
 197       ar & n;
 198       ar & d;
 199       m_value.assign(n, d);
 200    }
 201    template <class Archive>
 202    void serialize(Archive& ar, const unsigned int /*version*/)
 203    {
 204       typedef typename Archive::is_saving tag;
 205       serialize(ar, tag());
 206    }
 207 private:
 208    rational_type m_value;
 209 };
 210
 211 template <class IntBackend>
 212 inline void eval_add(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
 213 {
 214    result.data() += o.data();
 215 }
 216 template <class IntBackend>
 217 inline void eval_subtract(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
 218 {
 219    result.data() -= o.data();
 220 }
 221 template <class IntBackend>
 222 inline void eval_multiply(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
 223 {
 224    result.data() *= o.data();
 225 }
 226 template <class IntBackend>
 227 inline void eval_divide(rational_adaptor<IntBackend>& result, const rational_adaptor<IntBackend>& o)
 228 {
 229    using default_ops::eval_is_zero;
 230    if(eval_is_zero(o))
 231    {
 232       BOOST_THROW_EXCEPTION(std::overflow_error("Divide by zero."));
 233    }
 234    result.data() /= o.data();
 235 }
 236
 237 template <class R, class IntBackend>
 238 inline typename enable_if_c<number_category<R>::value == number_kind_floating_point>::type eval_convert_to(R* result, const rational_adaptor<IntBackend>& backend)
 239 {
 240    //
 241    // The generic conversion is as good as anything we can write here:
 242    //
 243    ::boost::multiprecision::detail::generic_convert_rational_to_float(*result, backend);
 244 }
 245
 246 template <class R, class IntBackend>
 247 inline typename enable_if_c<(number_category<R>::value != number_kind_integer) && (number_category<R>::value != number_kind_floating_point)>::type eval_convert_to(R* result, const rational_adaptor<IntBackend>& backend)
 248 {
 249    typedef typename component_type<number<rational_adaptor<IntBackend> > >::type comp_t;
 250    comp_t num(backend.data().numerator());
 251    comp_t denom(backend.data().denominator());
 252    *result = num.template convert_to<R>();
 253    *result /= denom.template convert_to<R>();
 254 }
 255
 256 template <class R, class IntBackend>
 257 inline typename enable_if_c<number_category<R>::value == number_kind_integer>::type eval_convert_to(R* result, const rational_adaptor<IntBackend>& backend)
 258 {
 259    typedef typename component_type<number<rational_adaptor<IntBackend> > >::type comp_t;
 260    comp_t t = backend.data().numerator();
 261    t /= backend.data().denominator();
 262    *result = t.template convert_to<R>();
 263 }
 264
 265 template <class IntBackend>
 266 inline bool eval_is_zero(const rational_adaptor<IntBackend>& val)
 267 {
 268    return eval_is_zero(val.data().numerator().backend());
 269 }
 270 template <class IntBackend>
 271 inline int eval_get_sign(const rational_adaptor<IntBackend>& val)
 272 {
 273    return eval_get_sign(val.data().numerator().backend());
 274 }
 275
 276 template<class IntBackend, class V>
 277 inline void assign_components(rational_adaptor<IntBackend>& result, const V& v1, const V& v2)
 278 {
 279    result.data().assign(v1, v2);
 280 }
 281
 282 template <class IntBackend>
 283 inline std::size_t hash_value(const rational_adaptor<IntBackend>& val)
 284 {
 285    std::size_t result = hash_value(val.data().numerator());
 286    boost::hash_combine(result, val.data().denominator());
 287    return result;
 288 }
 289
 290
 291 } // namespace backends
 292
 293 template<class IntBackend>
 294 struct expression_template_default<backends::rational_adaptor<IntBackend> > : public expression_template_default<IntBackend> {};
 295
 296 template<class IntBackend>
 297 struct number_category<backends::rational_adaptor<IntBackend> > : public mpl::int_<number_kind_rational>{};
 298
 299 using boost::multiprecision::backends::rational_adaptor;
 300
 301 template <class T>
 302 struct component_type<rational_adaptor<T> >
 303 {
 304    typedef number<T> type;
 305 };
 306
 307 template <class IntBackend, expression_template_option ET>
 308 inline number<IntBackend, ET> numerator(const number<rational_adaptor<IntBackend>, ET>& val)
 309 {
 310    return val.backend().data().numerator();
 311 }
 312 template <class IntBackend, expression_template_option ET>
 313 inline number<IntBackend, ET> denominator(const number<rational_adaptor<IntBackend>, ET>& val)
 314 {
 315    return val.backend().data().denominator();
 316 }
 317
 318 #ifdef BOOST_NO_SFINAE_EXPR
 319
 320 namespace detail{
 321
 322 template<class U, class IntBackend>
 323 struct is_explicitly_convertible<U, rational_adaptor<IntBackend> > : public is_explicitly_convertible<U, IntBackend> {};
 324
 325 }
 326
 327 #endif
 328
 329 }} // namespaces
 330
 331
 332 namespace std{
 333
 334 template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
 335 class numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> > : public std::numeric_limits<boost::multiprecision::number<IntBackend, ExpressionTemplates> >
 336 {
 337    typedef std::numeric_limits<boost::multiprecision::number<IntBackend> > base_type;
 338    typedef boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend> > number_type;
 339 public:
 340    BOOST_STATIC_CONSTEXPR bool is_integer = false;
 341    BOOST_STATIC_CONSTEXPR bool is_exact = true;
 342    BOOST_STATIC_CONSTEXPR number_type (min)() { return (base_type::min)(); }
 343    BOOST_STATIC_CONSTEXPR number_type (max)() { return (base_type::max)(); }
 344    BOOST_STATIC_CONSTEXPR number_type lowest() { return -(max)(); }
 345    BOOST_STATIC_CONSTEXPR number_type epsilon() { return base_type::epsilon(); }
 346    BOOST_STATIC_CONSTEXPR number_type round_error() { return epsilon() / 2; }
 347    BOOST_STATIC_CONSTEXPR number_type infinity() { return base_type::infinity(); }
 348    BOOST_STATIC_CONSTEXPR number_type quiet_NaN() { return base_type::quiet_NaN(); }
 349    BOOST_STATIC_CONSTEXPR number_type signaling_NaN() { return base_type::signaling_NaN(); }
 350    BOOST_STATIC_CONSTEXPR number_type denorm_min() { return base_type::denorm_min(); }
 351 };
 352
 353 #ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
 354
 355 template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
 356 BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> >::is_integer;
 357 template <class IntBackend, boost::multiprecision::expression_template_option ExpressionTemplates>
 358 BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::rational_adaptor<IntBackend>, ExpressionTemplates> >::is_exact;
 359
 360 #endif
 361
 362
 363 }
 364
 365 #endif