ratio revision 288943
1227825Stheraven// -*- C++ -*- 2227825Stheraven//===---------------------------- ratio -----------------------------------===// 3227825Stheraven// 4227825Stheraven// The LLVM Compiler Infrastructure 5227825Stheraven// 6227825Stheraven// This file is dual licensed under the MIT and the University of Illinois Open 7227825Stheraven// Source Licenses. See LICENSE.TXT for details. 8227825Stheraven// 9227825Stheraven//===----------------------------------------------------------------------===// 10227825Stheraven 11227825Stheraven#ifndef _LIBCPP_RATIO 12227825Stheraven#define _LIBCPP_RATIO 13227825Stheraven 14227825Stheraven/* 15227825Stheraven ratio synopsis 16227825Stheraven 17227825Stheravennamespace std 18227825Stheraven{ 19227825Stheraven 20227825Stheraventemplate <intmax_t N, intmax_t D = 1> 21227825Stheravenclass ratio 22227825Stheraven{ 23227825Stheravenpublic: 24288943Sdim static constexpr intmax_t num; 25288943Sdim static constexpr intmax_t den; 26227825Stheraven typedef ratio<num, den> type; 27227825Stheraven}; 28227825Stheraven 29227825Stheraven// ratio arithmetic 30227825Stheraventemplate <class R1, class R2> using ratio_add = ...; 31227825Stheraventemplate <class R1, class R2> using ratio_subtract = ...; 32227825Stheraventemplate <class R1, class R2> using ratio_multiply = ...; 33227825Stheraventemplate <class R1, class R2> using ratio_divide = ...; 34227825Stheraven 35227825Stheraven// ratio comparison 36227825Stheraventemplate <class R1, class R2> struct ratio_equal; 37227825Stheraventemplate <class R1, class R2> struct ratio_not_equal; 38227825Stheraventemplate <class R1, class R2> struct ratio_less; 39227825Stheraventemplate <class R1, class R2> struct ratio_less_equal; 40227825Stheraventemplate <class R1, class R2> struct ratio_greater; 41227825Stheraventemplate <class R1, class R2> struct ratio_greater_equal; 42227825Stheraven 43227825Stheraven// convenience SI typedefs 44227825Stheraventypedef ratio<1, 1000000000000000000000000> yocto; // not supported 45227825Stheraventypedef ratio<1, 1000000000000000000000> zepto; // not supported 46227825Stheraventypedef ratio<1, 1000000000000000000> atto; 47227825Stheraventypedef ratio<1, 1000000000000000> femto; 48227825Stheraventypedef ratio<1, 1000000000000> pico; 49227825Stheraventypedef ratio<1, 1000000000> nano; 50227825Stheraventypedef ratio<1, 1000000> micro; 51227825Stheraventypedef ratio<1, 1000> milli; 52227825Stheraventypedef ratio<1, 100> centi; 53227825Stheraventypedef ratio<1, 10> deci; 54227825Stheraventypedef ratio< 10, 1> deca; 55227825Stheraventypedef ratio< 100, 1> hecto; 56227825Stheraventypedef ratio< 1000, 1> kilo; 57227825Stheraventypedef ratio< 1000000, 1> mega; 58227825Stheraventypedef ratio< 1000000000, 1> giga; 59227825Stheraventypedef ratio< 1000000000000, 1> tera; 60227825Stheraventypedef ratio< 1000000000000000, 1> peta; 61227825Stheraventypedef ratio< 1000000000000000000, 1> exa; 62227825Stheraventypedef ratio< 1000000000000000000000, 1> zetta; // not supported 63227825Stheraventypedef ratio<1000000000000000000000000, 1> yotta; // not supported 64227825Stheraven 65227825Stheraven} 66227825Stheraven*/ 67227825Stheraven 68227825Stheraven#include <__config> 69227825Stheraven#include <cstdint> 70227825Stheraven#include <climits> 71227825Stheraven#include <type_traits> 72227825Stheraven 73232924Stheraven#include <__undef_min_max> 74232924Stheraven 75227825Stheraven#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 76227825Stheraven#pragma GCC system_header 77227825Stheraven#endif 78227825Stheraven 79227825Stheraven_LIBCPP_BEGIN_NAMESPACE_STD 80227825Stheraven 81227825Stheraven// __static_gcd 82227825Stheraven 83227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 84227825Stheravenstruct __static_gcd 85227825Stheraven{ 86227825Stheraven static const intmax_t value = __static_gcd<_Yp, _Xp % _Yp>::value; 87227825Stheraven}; 88227825Stheraven 89227825Stheraventemplate <intmax_t _Xp> 90227825Stheravenstruct __static_gcd<_Xp, 0> 91227825Stheraven{ 92227825Stheraven static const intmax_t value = _Xp; 93227825Stheraven}; 94227825Stheraven 95227825Stheraventemplate <> 96227825Stheravenstruct __static_gcd<0, 0> 97227825Stheraven{ 98227825Stheraven static const intmax_t value = 1; 99227825Stheraven}; 100227825Stheraven 101227825Stheraven// __static_lcm 102227825Stheraven 103227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 104227825Stheravenstruct __static_lcm 105227825Stheraven{ 106227825Stheraven static const intmax_t value = _Xp / __static_gcd<_Xp, _Yp>::value * _Yp; 107227825Stheraven}; 108227825Stheraven 109227825Stheraventemplate <intmax_t _Xp> 110227825Stheravenstruct __static_abs 111227825Stheraven{ 112227825Stheraven static const intmax_t value = _Xp < 0 ? -_Xp : _Xp; 113227825Stheraven}; 114227825Stheraven 115227825Stheraventemplate <intmax_t _Xp> 116227825Stheravenstruct __static_sign 117227825Stheraven{ 118227825Stheraven static const intmax_t value = _Xp == 0 ? 0 : (_Xp < 0 ? -1 : 1); 119227825Stheraven}; 120227825Stheraven 121227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value> 122227825Stheravenclass __ll_add; 123227825Stheraven 124227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 125227825Stheravenclass __ll_add<_Xp, _Yp, 1> 126227825Stheraven{ 127227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 128227825Stheraven static const intmax_t max = -min; 129227825Stheraven 130227825Stheraven static_assert(_Xp <= max - _Yp, "overflow in __ll_add"); 131227825Stheravenpublic: 132227825Stheraven static const intmax_t value = _Xp + _Yp; 133227825Stheraven}; 134227825Stheraven 135227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 136227825Stheravenclass __ll_add<_Xp, _Yp, 0> 137227825Stheraven{ 138227825Stheravenpublic: 139227825Stheraven static const intmax_t value = _Xp; 140227825Stheraven}; 141227825Stheraven 142227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 143227825Stheravenclass __ll_add<_Xp, _Yp, -1> 144227825Stheraven{ 145227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 146227825Stheraven static const intmax_t max = -min; 147227825Stheraven 148227825Stheraven static_assert(min - _Yp <= _Xp, "overflow in __ll_add"); 149227825Stheravenpublic: 150227825Stheraven static const intmax_t value = _Xp + _Yp; 151227825Stheraven}; 152227825Stheraven 153227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value> 154227825Stheravenclass __ll_sub; 155227825Stheraven 156227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 157227825Stheravenclass __ll_sub<_Xp, _Yp, 1> 158227825Stheraven{ 159227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 160227825Stheraven static const intmax_t max = -min; 161227825Stheraven 162227825Stheraven static_assert(min + _Yp <= _Xp, "overflow in __ll_sub"); 163227825Stheravenpublic: 164227825Stheraven static const intmax_t value = _Xp - _Yp; 165227825Stheraven}; 166227825Stheraven 167227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 168227825Stheravenclass __ll_sub<_Xp, _Yp, 0> 169227825Stheraven{ 170227825Stheravenpublic: 171227825Stheraven static const intmax_t value = _Xp; 172227825Stheraven}; 173227825Stheraven 174227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 175227825Stheravenclass __ll_sub<_Xp, _Yp, -1> 176227825Stheraven{ 177227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 178227825Stheraven static const intmax_t max = -min; 179227825Stheraven 180227825Stheraven static_assert(_Xp <= max + _Yp, "overflow in __ll_sub"); 181227825Stheravenpublic: 182227825Stheraven static const intmax_t value = _Xp - _Yp; 183227825Stheraven}; 184227825Stheraven 185227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 186227825Stheravenclass __ll_mul 187227825Stheraven{ 188227825Stheraven static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)); 189227825Stheraven static const intmax_t min = nan + 1; 190227825Stheraven static const intmax_t max = -min; 191227825Stheraven static const intmax_t __a_x = __static_abs<_Xp>::value; 192227825Stheraven static const intmax_t __a_y = __static_abs<_Yp>::value; 193227825Stheraven 194227825Stheraven static_assert(_Xp != nan && _Yp != nan && __a_x <= max / __a_y, "overflow in __ll_mul"); 195227825Stheravenpublic: 196227825Stheraven static const intmax_t value = _Xp * _Yp; 197227825Stheraven}; 198227825Stheraven 199227825Stheraventemplate <intmax_t _Yp> 200227825Stheravenclass __ll_mul<0, _Yp> 201227825Stheraven{ 202227825Stheravenpublic: 203227825Stheraven static const intmax_t value = 0; 204227825Stheraven}; 205227825Stheraven 206227825Stheraventemplate <intmax_t _Xp> 207227825Stheravenclass __ll_mul<_Xp, 0> 208227825Stheraven{ 209227825Stheravenpublic: 210227825Stheraven static const intmax_t value = 0; 211227825Stheraven}; 212227825Stheraven 213227825Stheraventemplate <> 214227825Stheravenclass __ll_mul<0, 0> 215227825Stheraven{ 216227825Stheravenpublic: 217227825Stheraven static const intmax_t value = 0; 218227825Stheraven}; 219227825Stheraven 220227825Stheraven// Not actually used but left here in case needed in future maintenance 221227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 222227825Stheravenclass __ll_div 223227825Stheraven{ 224227825Stheraven static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)); 225227825Stheraven static const intmax_t min = nan + 1; 226227825Stheraven static const intmax_t max = -min; 227227825Stheraven 228227825Stheraven static_assert(_Xp != nan && _Yp != nan && _Yp != 0, "overflow in __ll_div"); 229227825Stheravenpublic: 230227825Stheraven static const intmax_t value = _Xp / _Yp; 231227825Stheraven}; 232227825Stheraven 233227825Stheraventemplate <intmax_t _Num, intmax_t _Den = 1> 234261272Sdimclass _LIBCPP_TYPE_VIS_ONLY ratio 235227825Stheraven{ 236227825Stheraven static_assert(__static_abs<_Num>::value >= 0, "ratio numerator is out of range"); 237227825Stheraven static_assert(_Den != 0, "ratio divide by 0"); 238227825Stheraven static_assert(__static_abs<_Den>::value > 0, "ratio denominator is out of range"); 239288943Sdim static _LIBCPP_CONSTEXPR const intmax_t __na = __static_abs<_Num>::value; 240288943Sdim static _LIBCPP_CONSTEXPR const intmax_t __da = __static_abs<_Den>::value; 241288943Sdim static _LIBCPP_CONSTEXPR const intmax_t __s = __static_sign<_Num>::value * __static_sign<_Den>::value; 242288943Sdim static _LIBCPP_CONSTEXPR const intmax_t __gcd = __static_gcd<__na, __da>::value; 243227825Stheravenpublic: 244288943Sdim static _LIBCPP_CONSTEXPR const intmax_t num = __s * __na / __gcd; 245288943Sdim static _LIBCPP_CONSTEXPR const intmax_t den = __da / __gcd; 246227825Stheraven 247227825Stheraven typedef ratio<num, den> type; 248227825Stheraven}; 249227825Stheraven 250288943Sdimtemplate <intmax_t _Num, intmax_t _Den> 251288943Sdim_LIBCPP_CONSTEXPR const intmax_t ratio<_Num, _Den>::num; 252227825Stheraven 253288943Sdimtemplate <intmax_t _Num, intmax_t _Den> 254288943Sdim_LIBCPP_CONSTEXPR const intmax_t ratio<_Num, _Den>::den; 255288943Sdim 256227825Stheraventemplate <class _Tp> struct __is_ratio : false_type {}; 257227825Stheraventemplate <intmax_t _Num, intmax_t _Den> struct __is_ratio<ratio<_Num, _Den> > : true_type {}; 258227825Stheraven 259227825Stheraventypedef ratio<1LL, 1000000000000000000LL> atto; 260227825Stheraventypedef ratio<1LL, 1000000000000000LL> femto; 261227825Stheraventypedef ratio<1LL, 1000000000000LL> pico; 262227825Stheraventypedef ratio<1LL, 1000000000LL> nano; 263227825Stheraventypedef ratio<1LL, 1000000LL> micro; 264227825Stheraventypedef ratio<1LL, 1000LL> milli; 265227825Stheraventypedef ratio<1LL, 100LL> centi; 266227825Stheraventypedef ratio<1LL, 10LL> deci; 267227825Stheraventypedef ratio< 10LL, 1LL> deca; 268227825Stheraventypedef ratio< 100LL, 1LL> hecto; 269227825Stheraventypedef ratio< 1000LL, 1LL> kilo; 270227825Stheraventypedef ratio< 1000000LL, 1LL> mega; 271227825Stheraventypedef ratio< 1000000000LL, 1LL> giga; 272227825Stheraventypedef ratio< 1000000000000LL, 1LL> tera; 273227825Stheraventypedef ratio< 1000000000000000LL, 1LL> peta; 274227825Stheraventypedef ratio<1000000000000000000LL, 1LL> exa; 275227825Stheraven 276227825Stheraventemplate <class _R1, class _R2> 277227825Stheravenstruct __ratio_multiply 278227825Stheraven{ 279227825Stheravenprivate: 280227825Stheraven static const intmax_t __gcd_n1_d2 = __static_gcd<_R1::num, _R2::den>::value; 281227825Stheraven static const intmax_t __gcd_d1_n2 = __static_gcd<_R1::den, _R2::num>::value; 282227825Stheravenpublic: 283227825Stheraven typedef typename ratio 284227825Stheraven < 285227825Stheraven __ll_mul<_R1::num / __gcd_n1_d2, _R2::num / __gcd_d1_n2>::value, 286227825Stheraven __ll_mul<_R2::den / __gcd_n1_d2, _R1::den / __gcd_d1_n2>::value 287227825Stheraven >::type type; 288227825Stheraven}; 289227825Stheraven 290227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 291227825Stheraven 292227825Stheraventemplate <class _R1, class _R2> using ratio_multiply 293227825Stheraven = typename __ratio_multiply<_R1, _R2>::type; 294227825Stheraven 295227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 296227825Stheraven 297227825Stheraventemplate <class _R1, class _R2> 298261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_multiply 299227825Stheraven : public __ratio_multiply<_R1, _R2>::type {}; 300227825Stheraven 301227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 302227825Stheraven 303227825Stheraventemplate <class _R1, class _R2> 304227825Stheravenstruct __ratio_divide 305227825Stheraven{ 306227825Stheravenprivate: 307227825Stheraven static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value; 308227825Stheraven static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; 309227825Stheravenpublic: 310227825Stheraven typedef typename ratio 311227825Stheraven < 312227825Stheraven __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, 313227825Stheraven __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value 314227825Stheraven >::type type; 315227825Stheraven}; 316227825Stheraven 317227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 318227825Stheraven 319227825Stheraventemplate <class _R1, class _R2> using ratio_divide 320227825Stheraven = typename __ratio_divide<_R1, _R2>::type; 321227825Stheraven 322227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 323227825Stheraven 324227825Stheraventemplate <class _R1, class _R2> 325261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_divide 326227825Stheraven : public __ratio_divide<_R1, _R2>::type {}; 327227825Stheraven 328227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 329227825Stheraven 330227825Stheraventemplate <class _R1, class _R2> 331227825Stheravenstruct __ratio_add 332227825Stheraven{ 333227825Stheravenprivate: 334227825Stheraven static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value; 335227825Stheraven static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; 336227825Stheravenpublic: 337227825Stheraven typedef typename ratio_multiply 338227825Stheraven < 339227825Stheraven ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>, 340227825Stheraven ratio 341227825Stheraven < 342227825Stheraven __ll_add 343227825Stheraven < 344227825Stheraven __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, 345227825Stheraven __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value 346227825Stheraven >::value, 347227825Stheraven _R2::den 348227825Stheraven > 349227825Stheraven >::type type; 350227825Stheraven}; 351227825Stheraven 352227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 353227825Stheraven 354227825Stheraventemplate <class _R1, class _R2> using ratio_add 355227825Stheraven = typename __ratio_add<_R1, _R2>::type; 356227825Stheraven 357227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 358227825Stheraven 359227825Stheraventemplate <class _R1, class _R2> 360261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_add 361227825Stheraven : public __ratio_add<_R1, _R2>::type {}; 362227825Stheraven 363227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 364227825Stheraven 365227825Stheraventemplate <class _R1, class _R2> 366227825Stheravenstruct __ratio_subtract 367227825Stheraven{ 368227825Stheravenprivate: 369227825Stheraven static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value; 370227825Stheraven static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; 371227825Stheravenpublic: 372227825Stheraven typedef typename ratio_multiply 373227825Stheraven < 374227825Stheraven ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>, 375227825Stheraven ratio 376227825Stheraven < 377227825Stheraven __ll_sub 378227825Stheraven < 379227825Stheraven __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, 380227825Stheraven __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value 381227825Stheraven >::value, 382227825Stheraven _R2::den 383227825Stheraven > 384227825Stheraven >::type type; 385227825Stheraven}; 386227825Stheraven 387227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 388227825Stheraven 389227825Stheraventemplate <class _R1, class _R2> using ratio_subtract 390227825Stheraven = typename __ratio_subtract<_R1, _R2>::type; 391227825Stheraven 392227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 393227825Stheraven 394227825Stheraventemplate <class _R1, class _R2> 395261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_subtract 396227825Stheraven : public __ratio_subtract<_R1, _R2>::type {}; 397227825Stheraven 398227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 399227825Stheraven 400227825Stheraven// ratio_equal 401227825Stheraven 402227825Stheraventemplate <class _R1, class _R2> 403261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_equal 404288943Sdim : public _LIBCPP_BOOL_CONSTANT((_R1::num == _R2::num && _R1::den == _R2::den)) {}; 405227825Stheraven 406227825Stheraventemplate <class _R1, class _R2> 407261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_not_equal 408288943Sdim : public _LIBCPP_BOOL_CONSTANT((!ratio_equal<_R1, _R2>::value)) {}; 409227825Stheraven 410227825Stheraven// ratio_less 411227825Stheraven 412227825Stheraventemplate <class _R1, class _R2, bool _Odd = false, 413227825Stheraven intmax_t _Q1 = _R1::num / _R1::den, intmax_t _M1 = _R1::num % _R1::den, 414227825Stheraven intmax_t _Q2 = _R2::num / _R2::den, intmax_t _M2 = _R2::num % _R2::den> 415227825Stheravenstruct __ratio_less1 416227825Stheraven{ 417227825Stheraven static const bool value = _Odd ? _Q2 < _Q1 : _Q1 < _Q2; 418227825Stheraven}; 419227825Stheraven 420232924Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Qp> 421232924Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, 0> 422227825Stheraven{ 423227825Stheraven static const bool value = false; 424227825Stheraven}; 425227825Stheraven 426232924Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M2> 427232924Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, _M2> 428227825Stheraven{ 429227825Stheraven static const bool value = !_Odd; 430227825Stheraven}; 431227825Stheraven 432232924Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1> 433232924Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, 0> 434227825Stheraven{ 435227825Stheraven static const bool value = _Odd; 436227825Stheraven}; 437227825Stheraven 438232924Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1, 439227825Stheraven intmax_t _M2> 440232924Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, _M2> 441227825Stheraven{ 442227825Stheraven static const bool value = __ratio_less1<ratio<_R1::den, _M1>, 443227825Stheraven ratio<_R2::den, _M2>, !_Odd>::value; 444227825Stheraven}; 445227825Stheraven 446227825Stheraventemplate <class _R1, class _R2, intmax_t _S1 = __static_sign<_R1::num>::value, 447227825Stheraven intmax_t _S2 = __static_sign<_R2::num>::value> 448227825Stheravenstruct __ratio_less 449227825Stheraven{ 450227825Stheraven static const bool value = _S1 < _S2; 451227825Stheraven}; 452227825Stheraven 453227825Stheraventemplate <class _R1, class _R2> 454227825Stheravenstruct __ratio_less<_R1, _R2, 1LL, 1LL> 455227825Stheraven{ 456227825Stheraven static const bool value = __ratio_less1<_R1, _R2>::value; 457227825Stheraven}; 458227825Stheraven 459227825Stheraventemplate <class _R1, class _R2> 460227825Stheravenstruct __ratio_less<_R1, _R2, -1LL, -1LL> 461227825Stheraven{ 462227825Stheraven static const bool value = __ratio_less1<ratio<-_R2::num, _R2::den>, ratio<-_R1::num, _R1::den> >::value; 463227825Stheraven}; 464227825Stheraven 465227825Stheraventemplate <class _R1, class _R2> 466261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_less 467288943Sdim : public _LIBCPP_BOOL_CONSTANT((__ratio_less<_R1, _R2>::value)) {}; 468227825Stheraven 469227825Stheraventemplate <class _R1, class _R2> 470261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_less_equal 471288943Sdim : public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R2, _R1>::value)) {}; 472227825Stheraven 473227825Stheraventemplate <class _R1, class _R2> 474261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_greater 475288943Sdim : public _LIBCPP_BOOL_CONSTANT((ratio_less<_R2, _R1>::value)) {}; 476227825Stheraven 477227825Stheraventemplate <class _R1, class _R2> 478261272Sdimstruct _LIBCPP_TYPE_VIS_ONLY ratio_greater_equal 479288943Sdim : public _LIBCPP_BOOL_CONSTANT((!ratio_less<_R1, _R2>::value)) {}; 480227825Stheraven 481227825Stheraventemplate <class _R1, class _R2> 482227825Stheravenstruct __ratio_gcd 483227825Stheraven{ 484227825Stheraven typedef ratio<__static_gcd<_R1::num, _R2::num>::value, 485227825Stheraven __static_lcm<_R1::den, _R2::den>::value> type; 486227825Stheraven}; 487227825Stheraven 488227825Stheraven_LIBCPP_END_NAMESPACE_STD 489227825Stheraven 490227825Stheraven#endif // _LIBCPP_RATIO 491