ratio revision 227825
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: 24227825Stheraven static const intmax_t num; 25227825Stheraven static const 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 73227825Stheraven#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 74227825Stheraven#pragma GCC system_header 75227825Stheraven#endif 76227825Stheraven 77227825Stheraven_LIBCPP_BEGIN_NAMESPACE_STD 78227825Stheraven 79227825Stheraven// __static_gcd 80227825Stheraven 81227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 82227825Stheravenstruct __static_gcd 83227825Stheraven{ 84227825Stheraven static const intmax_t value = __static_gcd<_Yp, _Xp % _Yp>::value; 85227825Stheraven}; 86227825Stheraven 87227825Stheraventemplate <intmax_t _Xp> 88227825Stheravenstruct __static_gcd<_Xp, 0> 89227825Stheraven{ 90227825Stheraven static const intmax_t value = _Xp; 91227825Stheraven}; 92227825Stheraven 93227825Stheraventemplate <> 94227825Stheravenstruct __static_gcd<0, 0> 95227825Stheraven{ 96227825Stheraven static const intmax_t value = 1; 97227825Stheraven}; 98227825Stheraven 99227825Stheraven// __static_lcm 100227825Stheraven 101227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 102227825Stheravenstruct __static_lcm 103227825Stheraven{ 104227825Stheraven static const intmax_t value = _Xp / __static_gcd<_Xp, _Yp>::value * _Yp; 105227825Stheraven}; 106227825Stheraven 107227825Stheraventemplate <intmax_t _Xp> 108227825Stheravenstruct __static_abs 109227825Stheraven{ 110227825Stheraven static const intmax_t value = _Xp < 0 ? -_Xp : _Xp; 111227825Stheraven}; 112227825Stheraven 113227825Stheraventemplate <intmax_t _Xp> 114227825Stheravenstruct __static_sign 115227825Stheraven{ 116227825Stheraven static const intmax_t value = _Xp == 0 ? 0 : (_Xp < 0 ? -1 : 1); 117227825Stheraven}; 118227825Stheraven 119227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value> 120227825Stheravenclass __ll_add; 121227825Stheraven 122227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 123227825Stheravenclass __ll_add<_Xp, _Yp, 1> 124227825Stheraven{ 125227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 126227825Stheraven static const intmax_t max = -min; 127227825Stheraven 128227825Stheraven static_assert(_Xp <= max - _Yp, "overflow in __ll_add"); 129227825Stheravenpublic: 130227825Stheraven static const intmax_t value = _Xp + _Yp; 131227825Stheraven}; 132227825Stheraven 133227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 134227825Stheravenclass __ll_add<_Xp, _Yp, 0> 135227825Stheraven{ 136227825Stheravenpublic: 137227825Stheraven static const intmax_t value = _Xp; 138227825Stheraven}; 139227825Stheraven 140227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 141227825Stheravenclass __ll_add<_Xp, _Yp, -1> 142227825Stheraven{ 143227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 144227825Stheraven static const intmax_t max = -min; 145227825Stheraven 146227825Stheraven static_assert(min - _Yp <= _Xp, "overflow in __ll_add"); 147227825Stheravenpublic: 148227825Stheraven static const intmax_t value = _Xp + _Yp; 149227825Stheraven}; 150227825Stheraven 151227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value> 152227825Stheravenclass __ll_sub; 153227825Stheraven 154227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 155227825Stheravenclass __ll_sub<_Xp, _Yp, 1> 156227825Stheraven{ 157227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 158227825Stheraven static const intmax_t max = -min; 159227825Stheraven 160227825Stheraven static_assert(min + _Yp <= _Xp, "overflow in __ll_sub"); 161227825Stheravenpublic: 162227825Stheraven static const intmax_t value = _Xp - _Yp; 163227825Stheraven}; 164227825Stheraven 165227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 166227825Stheravenclass __ll_sub<_Xp, _Yp, 0> 167227825Stheraven{ 168227825Stheravenpublic: 169227825Stheraven static const intmax_t value = _Xp; 170227825Stheraven}; 171227825Stheraven 172227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 173227825Stheravenclass __ll_sub<_Xp, _Yp, -1> 174227825Stheraven{ 175227825Stheraven static const intmax_t min = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1; 176227825Stheraven static const intmax_t max = -min; 177227825Stheraven 178227825Stheraven static_assert(_Xp <= max + _Yp, "overflow in __ll_sub"); 179227825Stheravenpublic: 180227825Stheraven static const intmax_t value = _Xp - _Yp; 181227825Stheraven}; 182227825Stheraven 183227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 184227825Stheravenclass __ll_mul 185227825Stheraven{ 186227825Stheraven static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)); 187227825Stheraven static const intmax_t min = nan + 1; 188227825Stheraven static const intmax_t max = -min; 189227825Stheraven static const intmax_t __a_x = __static_abs<_Xp>::value; 190227825Stheraven static const intmax_t __a_y = __static_abs<_Yp>::value; 191227825Stheraven 192227825Stheraven static_assert(_Xp != nan && _Yp != nan && __a_x <= max / __a_y, "overflow in __ll_mul"); 193227825Stheravenpublic: 194227825Stheraven static const intmax_t value = _Xp * _Yp; 195227825Stheraven}; 196227825Stheraven 197227825Stheraventemplate <intmax_t _Yp> 198227825Stheravenclass __ll_mul<0, _Yp> 199227825Stheraven{ 200227825Stheravenpublic: 201227825Stheraven static const intmax_t value = 0; 202227825Stheraven}; 203227825Stheraven 204227825Stheraventemplate <intmax_t _Xp> 205227825Stheravenclass __ll_mul<_Xp, 0> 206227825Stheraven{ 207227825Stheravenpublic: 208227825Stheraven static const intmax_t value = 0; 209227825Stheraven}; 210227825Stheraven 211227825Stheraventemplate <> 212227825Stheravenclass __ll_mul<0, 0> 213227825Stheraven{ 214227825Stheravenpublic: 215227825Stheraven static const intmax_t value = 0; 216227825Stheraven}; 217227825Stheraven 218227825Stheraven// Not actually used but left here in case needed in future maintenance 219227825Stheraventemplate <intmax_t _Xp, intmax_t _Yp> 220227825Stheravenclass __ll_div 221227825Stheraven{ 222227825Stheraven static const intmax_t nan = (1LL << (sizeof(intmax_t) * CHAR_BIT - 1)); 223227825Stheraven static const intmax_t min = nan + 1; 224227825Stheraven static const intmax_t max = -min; 225227825Stheraven 226227825Stheraven static_assert(_Xp != nan && _Yp != nan && _Yp != 0, "overflow in __ll_div"); 227227825Stheravenpublic: 228227825Stheraven static const intmax_t value = _Xp / _Yp; 229227825Stheraven}; 230227825Stheraven 231227825Stheraventemplate <intmax_t _Num, intmax_t _Den = 1> 232227825Stheravenclass _LIBCPP_VISIBLE ratio 233227825Stheraven{ 234227825Stheraven static_assert(__static_abs<_Num>::value >= 0, "ratio numerator is out of range"); 235227825Stheraven static_assert(_Den != 0, "ratio divide by 0"); 236227825Stheraven static_assert(__static_abs<_Den>::value > 0, "ratio denominator is out of range"); 237227825Stheraven static const intmax_t __na = __static_abs<_Num>::value; 238227825Stheraven static const intmax_t __da = __static_abs<_Den>::value; 239227825Stheraven static const intmax_t __s = __static_sign<_Num>::value * __static_sign<_Den>::value; 240227825Stheraven static const intmax_t __gcd = __static_gcd<__na, __da>::value; 241227825Stheravenpublic: 242227825Stheraven static const intmax_t num = __s * __na / __gcd; 243227825Stheraven static const intmax_t den = __da / __gcd; 244227825Stheraven 245227825Stheraven typedef ratio<num, den> type; 246227825Stheraven}; 247227825Stheraven 248227825Stheraventemplate <intmax_t _Num, intmax_t _Den> const intmax_t ratio<_Num, _Den>::num; 249227825Stheraventemplate <intmax_t _Num, intmax_t _Den> const intmax_t ratio<_Num, _Den>::den; 250227825Stheraven 251227825Stheraventemplate <class _Tp> struct __is_ratio : false_type {}; 252227825Stheraventemplate <intmax_t _Num, intmax_t _Den> struct __is_ratio<ratio<_Num, _Den> > : true_type {}; 253227825Stheraven 254227825Stheraventypedef ratio<1LL, 1000000000000000000LL> atto; 255227825Stheraventypedef ratio<1LL, 1000000000000000LL> femto; 256227825Stheraventypedef ratio<1LL, 1000000000000LL> pico; 257227825Stheraventypedef ratio<1LL, 1000000000LL> nano; 258227825Stheraventypedef ratio<1LL, 1000000LL> micro; 259227825Stheraventypedef ratio<1LL, 1000LL> milli; 260227825Stheraventypedef ratio<1LL, 100LL> centi; 261227825Stheraventypedef ratio<1LL, 10LL> deci; 262227825Stheraventypedef ratio< 10LL, 1LL> deca; 263227825Stheraventypedef ratio< 100LL, 1LL> hecto; 264227825Stheraventypedef ratio< 1000LL, 1LL> kilo; 265227825Stheraventypedef ratio< 1000000LL, 1LL> mega; 266227825Stheraventypedef ratio< 1000000000LL, 1LL> giga; 267227825Stheraventypedef ratio< 1000000000000LL, 1LL> tera; 268227825Stheraventypedef ratio< 1000000000000000LL, 1LL> peta; 269227825Stheraventypedef ratio<1000000000000000000LL, 1LL> exa; 270227825Stheraven 271227825Stheraventemplate <class _R1, class _R2> 272227825Stheravenstruct __ratio_multiply 273227825Stheraven{ 274227825Stheravenprivate: 275227825Stheraven static const intmax_t __gcd_n1_d2 = __static_gcd<_R1::num, _R2::den>::value; 276227825Stheraven static const intmax_t __gcd_d1_n2 = __static_gcd<_R1::den, _R2::num>::value; 277227825Stheravenpublic: 278227825Stheraven typedef typename ratio 279227825Stheraven < 280227825Stheraven __ll_mul<_R1::num / __gcd_n1_d2, _R2::num / __gcd_d1_n2>::value, 281227825Stheraven __ll_mul<_R2::den / __gcd_n1_d2, _R1::den / __gcd_d1_n2>::value 282227825Stheraven >::type type; 283227825Stheraven}; 284227825Stheraven 285227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 286227825Stheraven 287227825Stheraventemplate <class _R1, class _R2> using ratio_multiply 288227825Stheraven = typename __ratio_multiply<_R1, _R2>::type; 289227825Stheraven 290227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 291227825Stheraven 292227825Stheraventemplate <class _R1, class _R2> 293227825Stheravenstruct _LIBCPP_VISIBLE ratio_multiply 294227825Stheraven : public __ratio_multiply<_R1, _R2>::type {}; 295227825Stheraven 296227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 297227825Stheraven 298227825Stheraventemplate <class _R1, class _R2> 299227825Stheravenstruct __ratio_divide 300227825Stheraven{ 301227825Stheravenprivate: 302227825Stheraven static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value; 303227825Stheraven static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; 304227825Stheravenpublic: 305227825Stheraven typedef typename ratio 306227825Stheraven < 307227825Stheraven __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, 308227825Stheraven __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value 309227825Stheraven >::type type; 310227825Stheraven}; 311227825Stheraven 312227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 313227825Stheraven 314227825Stheraventemplate <class _R1, class _R2> using ratio_divide 315227825Stheraven = typename __ratio_divide<_R1, _R2>::type; 316227825Stheraven 317227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 318227825Stheraven 319227825Stheraventemplate <class _R1, class _R2> 320227825Stheravenstruct _LIBCPP_VISIBLE ratio_divide 321227825Stheraven : public __ratio_divide<_R1, _R2>::type {}; 322227825Stheraven 323227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 324227825Stheraven 325227825Stheraventemplate <class _R1, class _R2> 326227825Stheravenstruct __ratio_add 327227825Stheraven{ 328227825Stheravenprivate: 329227825Stheraven static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value; 330227825Stheraven static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; 331227825Stheravenpublic: 332227825Stheraven typedef typename ratio_multiply 333227825Stheraven < 334227825Stheraven ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>, 335227825Stheraven ratio 336227825Stheraven < 337227825Stheraven __ll_add 338227825Stheraven < 339227825Stheraven __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, 340227825Stheraven __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value 341227825Stheraven >::value, 342227825Stheraven _R2::den 343227825Stheraven > 344227825Stheraven >::type type; 345227825Stheraven}; 346227825Stheraven 347227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 348227825Stheraven 349227825Stheraventemplate <class _R1, class _R2> using ratio_add 350227825Stheraven = typename __ratio_add<_R1, _R2>::type; 351227825Stheraven 352227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 353227825Stheraven 354227825Stheraventemplate <class _R1, class _R2> 355227825Stheravenstruct _LIBCPP_VISIBLE ratio_add 356227825Stheraven : public __ratio_add<_R1, _R2>::type {}; 357227825Stheraven 358227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 359227825Stheraven 360227825Stheraventemplate <class _R1, class _R2> 361227825Stheravenstruct __ratio_subtract 362227825Stheraven{ 363227825Stheravenprivate: 364227825Stheraven static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value; 365227825Stheraven static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value; 366227825Stheravenpublic: 367227825Stheraven typedef typename ratio_multiply 368227825Stheraven < 369227825Stheraven ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>, 370227825Stheraven ratio 371227825Stheraven < 372227825Stheraven __ll_sub 373227825Stheraven < 374227825Stheraven __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value, 375227825Stheraven __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value 376227825Stheraven >::value, 377227825Stheraven _R2::den 378227825Stheraven > 379227825Stheraven >::type type; 380227825Stheraven}; 381227825Stheraven 382227825Stheraven#ifndef _LIBCPP_HAS_NO_TEMPLATE_ALIASES 383227825Stheraven 384227825Stheraventemplate <class _R1, class _R2> using ratio_subtract 385227825Stheraven = typename __ratio_subtract<_R1, _R2>::type; 386227825Stheraven 387227825Stheraven#else // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 388227825Stheraven 389227825Stheraventemplate <class _R1, class _R2> 390227825Stheravenstruct _LIBCPP_VISIBLE ratio_subtract 391227825Stheraven : public __ratio_subtract<_R1, _R2>::type {}; 392227825Stheraven 393227825Stheraven#endif // _LIBCPP_HAS_NO_TEMPLATE_ALIASES 394227825Stheraven 395227825Stheraven// ratio_equal 396227825Stheraven 397227825Stheraventemplate <class _R1, class _R2> 398227825Stheravenstruct _LIBCPP_VISIBLE ratio_equal 399227825Stheraven : public integral_constant<bool, _R1::num == _R2::num && _R1::den == _R2::den> {}; 400227825Stheraven 401227825Stheraventemplate <class _R1, class _R2> 402227825Stheravenstruct _LIBCPP_VISIBLE ratio_not_equal 403227825Stheraven : public integral_constant<bool, !ratio_equal<_R1, _R2>::value> {}; 404227825Stheraven 405227825Stheraven// ratio_less 406227825Stheraven 407227825Stheraventemplate <class _R1, class _R2, bool _Odd = false, 408227825Stheraven intmax_t _Q1 = _R1::num / _R1::den, intmax_t _M1 = _R1::num % _R1::den, 409227825Stheraven intmax_t _Q2 = _R2::num / _R2::den, intmax_t _M2 = _R2::num % _R2::den> 410227825Stheravenstruct __ratio_less1 411227825Stheraven{ 412227825Stheraven static const bool value = _Odd ? _Q2 < _Q1 : _Q1 < _Q2; 413227825Stheraven}; 414227825Stheraven 415227825Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Q> 416227825Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Q, 0, _Q, 0> 417227825Stheraven{ 418227825Stheraven static const bool value = false; 419227825Stheraven}; 420227825Stheraven 421227825Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Q, intmax_t _M2> 422227825Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Q, 0, _Q, _M2> 423227825Stheraven{ 424227825Stheraven static const bool value = !_Odd; 425227825Stheraven}; 426227825Stheraven 427227825Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Q, intmax_t _M1> 428227825Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Q, _M1, _Q, 0> 429227825Stheraven{ 430227825Stheraven static const bool value = _Odd; 431227825Stheraven}; 432227825Stheraven 433227825Stheraventemplate <class _R1, class _R2, bool _Odd, intmax_t _Q, intmax_t _M1, 434227825Stheraven intmax_t _M2> 435227825Stheravenstruct __ratio_less1<_R1, _R2, _Odd, _Q, _M1, _Q, _M2> 436227825Stheraven{ 437227825Stheraven static const bool value = __ratio_less1<ratio<_R1::den, _M1>, 438227825Stheraven ratio<_R2::den, _M2>, !_Odd>::value; 439227825Stheraven}; 440227825Stheraven 441227825Stheraventemplate <class _R1, class _R2, intmax_t _S1 = __static_sign<_R1::num>::value, 442227825Stheraven intmax_t _S2 = __static_sign<_R2::num>::value> 443227825Stheravenstruct __ratio_less 444227825Stheraven{ 445227825Stheraven static const bool value = _S1 < _S2; 446227825Stheraven}; 447227825Stheraven 448227825Stheraventemplate <class _R1, class _R2> 449227825Stheravenstruct __ratio_less<_R1, _R2, 1LL, 1LL> 450227825Stheraven{ 451227825Stheraven static const bool value = __ratio_less1<_R1, _R2>::value; 452227825Stheraven}; 453227825Stheraven 454227825Stheraventemplate <class _R1, class _R2> 455227825Stheravenstruct __ratio_less<_R1, _R2, -1LL, -1LL> 456227825Stheraven{ 457227825Stheraven static const bool value = __ratio_less1<ratio<-_R2::num, _R2::den>, ratio<-_R1::num, _R1::den> >::value; 458227825Stheraven}; 459227825Stheraven 460227825Stheraventemplate <class _R1, class _R2> 461227825Stheravenstruct _LIBCPP_VISIBLE ratio_less 462227825Stheraven : public integral_constant<bool, __ratio_less<_R1, _R2>::value> {}; 463227825Stheraven 464227825Stheraventemplate <class _R1, class _R2> 465227825Stheravenstruct _LIBCPP_VISIBLE ratio_less_equal 466227825Stheraven : public integral_constant<bool, !ratio_less<_R2, _R1>::value> {}; 467227825Stheraven 468227825Stheraventemplate <class _R1, class _R2> 469227825Stheravenstruct _LIBCPP_VISIBLE ratio_greater 470227825Stheraven : public integral_constant<bool, ratio_less<_R2, _R1>::value> {}; 471227825Stheraven 472227825Stheraventemplate <class _R1, class _R2> 473227825Stheravenstruct _LIBCPP_VISIBLE ratio_greater_equal 474227825Stheraven : public integral_constant<bool, !ratio_less<_R1, _R2>::value> {}; 475227825Stheraven 476227825Stheraventemplate <class _R1, class _R2> 477227825Stheravenstruct __ratio_gcd 478227825Stheraven{ 479227825Stheraven typedef ratio<__static_gcd<_R1::num, _R2::num>::value, 480227825Stheraven __static_lcm<_R1::den, _R2::den>::value> type; 481227825Stheraven}; 482227825Stheraven 483227825Stheraven_LIBCPP_END_NAMESPACE_STD 484227825Stheraven 485227825Stheraven#endif // _LIBCPP_RATIO 486