| 1 | // saturating.cpp ----------------------------------------------------------// |
| 2 | |
| 3 | // Copyright 2008 Howard Hinnant |
| 4 | // Copyright 2008 Beman Dawes |
| 5 | // Copyright 2009 Vicente J. Botet Escriba |
| 6 | |
| 7 | // Distributed under the Boost Software License, Version 1.0. |
| 8 | // See http://www.boost.org/LICENSE_1_0.txt |
| 9 | |
| 10 | /* |
| 11 | This code was extracted by Vicente J. Botet Escriba from Beman Dawes time2_demo.cpp which |
| 12 | was derived by Beman Dawes from Howard Hinnant's time2_demo prototype. |
| 13 | Many thanks to Howard for making his code available under the Boost license. |
| 14 | The original code was modified to conform to Boost conventions and to section |
| 15 | 20.9 Time utilities [time] of the C++ committee's working paper N2798. |
| 16 | See http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2798.pdf. |
| 17 | |
| 18 | time2_demo contained this comment: |
| 19 | |
| 20 | Much thanks to Andrei Alexandrescu, |
| 21 | Walter Brown, |
| 22 | Peter Dimov, |
| 23 | Jeff Garland, |
| 24 | Terry Golubiewski, |
| 25 | Daniel Krugler, |
| 26 | Anthony Williams. |
| 27 | */ |
| 28 | |
| 29 | #define _CRT_SECURE_NO_WARNINGS // disable VC++ foolishness |
| 30 | |
| 31 | #include <boost/chrono/chrono.hpp> |
| 32 | #include <boost/type_traits.hpp> |
| 33 | |
| 34 | #include <iostream> |
| 35 | |
| 36 | ////////////////////////////////////////////////////////// |
| 37 | //////////////////// User2 Example /////////////////////// |
| 38 | ////////////////////////////////////////////////////////// |
| 39 | |
| 40 | // Demonstrate User2: |
| 41 | // A "saturating" signed integral type is developed. This type has +/- infinity and a nan |
| 42 | // (like IEEE floating point) but otherwise obeys signed integral arithmetic. |
| 43 | // This class is subsequently used as the rep in boost::chrono::duration to demonstrate a |
| 44 | // duration class that does not silently ignore overflow. |
| 45 | #include <ostream> |
| 46 | #include <stdexcept> |
| 47 | #include <climits> |
| 48 | |
| 49 | namespace User2 |
| 50 | { |
| 51 | |
| 52 | template <class I> |
| 53 | class saturate |
| 54 | { |
| 55 | public: |
| 56 | typedef I int_type; |
| 57 | |
| 58 | static const int_type nan = int_type(int_type(1) << (sizeof(int_type) * CHAR_BIT - 1)); |
| 59 | static const int_type neg_inf = nan + 1; |
| 60 | static const int_type pos_inf = -neg_inf; |
| 61 | private: |
| 62 | int_type i_; |
| 63 | |
| 64 | // static_assert(std::is_integral<int_type>::value && std::is_signed<int_type>::value, |
| 65 | // "saturate only accepts signed integral types"); |
| 66 | // static_assert(nan == -nan && neg_inf < pos_inf, |
| 67 | // "saturate assumes two's complement hardware for signed integrals"); |
| 68 | |
| 69 | public: |
| 70 | saturate() : i_(nan) {} |
| 71 | explicit saturate(int_type i) : i_(i) {} |
| 72 | // explicit |
| 73 | operator int_type() const; |
| 74 | |
| 75 | saturate& operator+=(saturate x); |
| 76 | saturate& operator-=(saturate x) {return *this += -x;} |
| 77 | saturate& operator*=(saturate x); |
| 78 | saturate& operator/=(saturate x); |
| 79 | saturate& operator%=(saturate x); |
| 80 | |
| 81 | saturate operator- () const {return saturate(-i_);} |
| 82 | saturate& operator++() {*this += saturate(int_type(1)); return *this;} |
| 83 | saturate operator++(int) {saturate tmp(*this); ++(*this); return tmp;} |
| 84 | saturate& operator--() {*this -= saturate(int_type(1)); return *this;} |
| 85 | saturate operator--(int) {saturate tmp(*this); --(*this); return tmp;} |
| 86 | |
| 87 | friend saturate operator+(saturate x, saturate y) {return x += y;} |
| 88 | friend saturate operator-(saturate x, saturate y) {return x -= y;} |
| 89 | friend saturate operator*(saturate x, saturate y) {return x *= y;} |
| 90 | friend saturate operator/(saturate x, saturate y) {return x /= y;} |
| 91 | friend saturate operator%(saturate x, saturate y) {return x %= y;} |
| 92 | |
| 93 | friend bool operator==(saturate x, saturate y) |
| 94 | { |
| 95 | if (x.i_ == nan || y.i_ == nan) |
| 96 | return false; |
| 97 | return x.i_ == y.i_; |
| 98 | } |
| 99 | |
| 100 | friend bool operator!=(saturate x, saturate y) {return !(x == y);} |
| 101 | |
| 102 | friend bool operator<(saturate x, saturate y) |
| 103 | { |
| 104 | if (x.i_ == nan || y.i_ == nan) |
| 105 | return false; |
| 106 | return x.i_ < y.i_; |
| 107 | } |
| 108 | |
| 109 | friend bool operator<=(saturate x, saturate y) |
| 110 | { |
| 111 | if (x.i_ == nan || y.i_ == nan) |
| 112 | return false; |
| 113 | return x.i_ <= y.i_; |
| 114 | } |
| 115 | |
| 116 | friend bool operator>(saturate x, saturate y) |
| 117 | { |
| 118 | if (x.i_ == nan || y.i_ == nan) |
| 119 | return false; |
| 120 | return x.i_ > y.i_; |
| 121 | } |
| 122 | |
| 123 | friend bool operator>=(saturate x, saturate y) |
| 124 | { |
| 125 | if (x.i_ == nan || y.i_ == nan) |
| 126 | return false; |
| 127 | return x.i_ >= y.i_; |
| 128 | } |
| 129 | |
| 130 | friend std::ostream& operator<<(std::ostream& os, saturate s) |
| 131 | { |
| 132 | switch (s.i_) |
| 133 | { |
| 134 | case pos_inf: |
| 135 | return os << "inf" ; |
| 136 | case nan: |
| 137 | return os << "nan" ; |
| 138 | case neg_inf: |
| 139 | return os << "-inf" ; |
| 140 | }; |
| 141 | return os << s.i_; |
| 142 | } |
| 143 | }; |
| 144 | |
| 145 | template <class I> |
| 146 | saturate<I>::operator I() const |
| 147 | { |
| 148 | switch (i_) |
| 149 | { |
| 150 | case nan: |
| 151 | case neg_inf: |
| 152 | case pos_inf: |
| 153 | throw std::out_of_range("saturate special value can not convert to int_type" ); |
| 154 | } |
| 155 | return i_; |
| 156 | } |
| 157 | |
| 158 | template <class I> |
| 159 | saturate<I>& |
| 160 | saturate<I>::operator+=(saturate x) |
| 161 | { |
| 162 | switch (i_) |
| 163 | { |
| 164 | case pos_inf: |
| 165 | switch (x.i_) |
| 166 | { |
| 167 | case neg_inf: |
| 168 | case nan: |
| 169 | i_ = nan; |
| 170 | } |
| 171 | return *this; |
| 172 | case nan: |
| 173 | return *this; |
| 174 | case neg_inf: |
| 175 | switch (x.i_) |
| 176 | { |
| 177 | case pos_inf: |
| 178 | case nan: |
| 179 | i_ = nan; |
| 180 | } |
| 181 | return *this; |
| 182 | } |
| 183 | switch (x.i_) |
| 184 | { |
| 185 | case pos_inf: |
| 186 | case neg_inf: |
| 187 | case nan: |
| 188 | i_ = x.i_; |
| 189 | return *this; |
| 190 | } |
| 191 | if (x.i_ >= 0) |
| 192 | { |
| 193 | if (i_ < pos_inf - x.i_) |
| 194 | i_ += x.i_; |
| 195 | else |
| 196 | i_ = pos_inf; |
| 197 | return *this; |
| 198 | } |
| 199 | if (i_ > neg_inf - x.i_) |
| 200 | i_ += x.i_; |
| 201 | else |
| 202 | i_ = neg_inf; |
| 203 | return *this; |
| 204 | } |
| 205 | |
| 206 | template <class I> |
| 207 | saturate<I>& |
| 208 | saturate<I>::operator*=(saturate x) |
| 209 | { |
| 210 | switch (i_) |
| 211 | { |
| 212 | case 0: |
| 213 | switch (x.i_) |
| 214 | { |
| 215 | case pos_inf: |
| 216 | case neg_inf: |
| 217 | case nan: |
| 218 | i_ = nan; |
| 219 | } |
| 220 | return *this; |
| 221 | case pos_inf: |
| 222 | switch (x.i_) |
| 223 | { |
| 224 | case nan: |
| 225 | case 0: |
| 226 | i_ = nan; |
| 227 | return *this; |
| 228 | } |
| 229 | if (x.i_ < 0) |
| 230 | i_ = neg_inf; |
| 231 | return *this; |
| 232 | case nan: |
| 233 | return *this; |
| 234 | case neg_inf: |
| 235 | switch (x.i_) |
| 236 | { |
| 237 | case nan: |
| 238 | case 0: |
| 239 | i_ = nan; |
| 240 | return *this; |
| 241 | } |
| 242 | if (x.i_ < 0) |
| 243 | i_ = pos_inf; |
| 244 | return *this; |
| 245 | } |
| 246 | switch (x.i_) |
| 247 | { |
| 248 | case 0: |
| 249 | i_ = 0; |
| 250 | return *this; |
| 251 | case nan: |
| 252 | i_ = nan; |
| 253 | return *this; |
| 254 | case pos_inf: |
| 255 | if (i_ < 0) |
| 256 | i_ = neg_inf; |
| 257 | else |
| 258 | i_ = pos_inf; |
| 259 | return *this; |
| 260 | case neg_inf: |
| 261 | if (i_ < 0) |
| 262 | i_ = pos_inf; |
| 263 | else |
| 264 | i_ = neg_inf; |
| 265 | return *this; |
| 266 | } |
| 267 | int s = (i_ < 0 ? -1 : 1) * (x.i_ < 0 ? -1 : 1); |
| 268 | i_ = i_ < 0 ? -i_ : i_; |
| 269 | int_type x_i_ = x.i_ < 0 ? -x.i_ : x.i_; |
| 270 | if (i_ <= pos_inf / x_i_) |
| 271 | i_ *= x_i_; |
| 272 | else |
| 273 | i_ = pos_inf; |
| 274 | i_ *= s; |
| 275 | return *this; |
| 276 | } |
| 277 | |
| 278 | template <class I> |
| 279 | saturate<I>& |
| 280 | saturate<I>::operator/=(saturate x) |
| 281 | { |
| 282 | switch (x.i_) |
| 283 | { |
| 284 | case pos_inf: |
| 285 | case neg_inf: |
| 286 | switch (i_) |
| 287 | { |
| 288 | case pos_inf: |
| 289 | case neg_inf: |
| 290 | case nan: |
| 291 | i_ = nan; |
| 292 | break; |
| 293 | default: |
| 294 | i_ = 0; |
| 295 | break; |
| 296 | } |
| 297 | return *this; |
| 298 | case nan: |
| 299 | i_ = nan; |
| 300 | return *this; |
| 301 | case 0: |
| 302 | switch (i_) |
| 303 | { |
| 304 | case pos_inf: |
| 305 | case neg_inf: |
| 306 | case nan: |
| 307 | return *this; |
| 308 | case 0: |
| 309 | i_ = nan; |
| 310 | return *this; |
| 311 | } |
| 312 | if (i_ > 0) |
| 313 | i_ = pos_inf; |
| 314 | else |
| 315 | i_ = neg_inf; |
| 316 | return *this; |
| 317 | } |
| 318 | switch (i_) |
| 319 | { |
| 320 | case 0: |
| 321 | case nan: |
| 322 | return *this; |
| 323 | case pos_inf: |
| 324 | case neg_inf: |
| 325 | if (x.i_ < 0) |
| 326 | i_ = -i_; |
| 327 | return *this; |
| 328 | } |
| 329 | i_ /= x.i_; |
| 330 | return *this; |
| 331 | } |
| 332 | |
| 333 | template <class I> |
| 334 | saturate<I>& |
| 335 | saturate<I>::operator%=(saturate x) |
| 336 | { |
| 337 | // *this -= *this / x * x; // definition |
| 338 | switch (x.i_) |
| 339 | { |
| 340 | case nan: |
| 341 | case neg_inf: |
| 342 | case 0: |
| 343 | case pos_inf: |
| 344 | i_ = nan; |
| 345 | return *this; |
| 346 | } |
| 347 | switch (i_) |
| 348 | { |
| 349 | case neg_inf: |
| 350 | case pos_inf: |
| 351 | i_ = nan; |
| 352 | case nan: |
| 353 | return *this; |
| 354 | } |
| 355 | i_ %= x.i_; |
| 356 | return *this; |
| 357 | } |
| 358 | |
| 359 | // Demo overflow-safe integral durations ranging from picoseconds resolution to millennium resolution |
| 360 | typedef boost::chrono::duration<saturate<long long>, boost::pico > picoseconds; |
| 361 | typedef boost::chrono::duration<saturate<long long>, boost::nano > nanoseconds; |
| 362 | typedef boost::chrono::duration<saturate<long long>, boost::micro > microseconds; |
| 363 | typedef boost::chrono::duration<saturate<long long>, boost::milli > milliseconds; |
| 364 | typedef boost::chrono::duration<saturate<long long> > seconds; |
| 365 | typedef boost::chrono::duration<saturate<long long>, boost::ratio< 60LL> > minutes; |
| 366 | typedef boost::chrono::duration<saturate<long long>, boost::ratio< 3600LL> > hours; |
| 367 | typedef boost::chrono::duration<saturate<long long>, boost::ratio< 86400LL> > days; |
| 368 | typedef boost::chrono::duration<saturate<long long>, boost::ratio< 31556952LL> > years; |
| 369 | typedef boost::chrono::duration<saturate<long long>, boost::ratio<31556952000LL> > millennium; |
| 370 | |
| 371 | } // User2 |
| 372 | |
| 373 | // Demonstrate custom promotion rules (needed only if there are no implicit conversions) |
| 374 | namespace User2 { namespace detail { |
| 375 | |
| 376 | template <class T1, class T2, bool = boost::is_integral<T1>::value> |
| 377 | struct promote_helper; |
| 378 | |
| 379 | template <class T1, class T2> |
| 380 | struct promote_helper<T1, saturate<T2>, true> // integral |
| 381 | { |
| 382 | typedef typename boost::common_type<T1, T2>::type rep; |
| 383 | typedef User2::saturate<rep> type; |
| 384 | }; |
| 385 | |
| 386 | template <class T1, class T2> |
| 387 | struct promote_helper<T1, saturate<T2>, false> // floating |
| 388 | { |
| 389 | typedef T1 type; |
| 390 | }; |
| 391 | |
| 392 | } } |
| 393 | |
| 394 | namespace boost |
| 395 | { |
| 396 | |
| 397 | template <class T1, class T2> |
| 398 | struct common_type<User2::saturate<T1>, User2::saturate<T2> > |
| 399 | { |
| 400 | typedef typename common_type<T1, T2>::type rep; |
| 401 | typedef User2::saturate<rep> type; |
| 402 | }; |
| 403 | |
| 404 | template <class T1, class T2> |
| 405 | struct common_type<T1, User2::saturate<T2> > |
| 406 | : User2::detail::promote_helper<T1, User2::saturate<T2> > {}; |
| 407 | |
| 408 | template <class T1, class T2> |
| 409 | struct common_type<User2::saturate<T1>, T2> |
| 410 | : User2::detail::promote_helper<T2, User2::saturate<T1> > {}; |
| 411 | |
| 412 | |
| 413 | // Demonstrate specialization of duration_values: |
| 414 | |
| 415 | namespace chrono { |
| 416 | |
| 417 | template <class I> |
| 418 | struct duration_values<User2::saturate<I> > |
| 419 | { |
| 420 | typedef User2::saturate<I> Rep; |
| 421 | public: |
| 422 | static Rep zero() {return Rep(0);} |
| 423 | static Rep max BOOST_PREVENT_MACRO_SUBSTITUTION () {return Rep(Rep::pos_inf-1);} |
| 424 | static Rep min BOOST_PREVENT_MACRO_SUBSTITUTION () {return -(max)();} |
| 425 | }; |
| 426 | |
| 427 | } // namespace chrono |
| 428 | |
| 429 | } // namespace boost |
| 430 | |
| 431 | #include <iostream> |
| 432 | |
| 433 | void testUser2() |
| 434 | { |
| 435 | std::cout << "*************\n" ; |
| 436 | std::cout << "* testUser2 *\n" ; |
| 437 | std::cout << "*************\n" ; |
| 438 | using namespace User2; |
| 439 | typedef seconds::rep sat; |
| 440 | years yr(sat(100)); |
| 441 | std::cout << "100 years expressed as years = " << yr.count() << '\n'; |
| 442 | nanoseconds ns = yr; |
| 443 | std::cout << "100 years expressed as nanoseconds = " << ns.count() << '\n'; |
| 444 | ns += yr; |
| 445 | std::cout << "200 years expressed as nanoseconds = " << ns.count() << '\n'; |
| 446 | ns += yr; |
| 447 | std::cout << "300 years expressed as nanoseconds = " << ns.count() << '\n'; |
| 448 | // yr = ns; // does not compile |
| 449 | std::cout << "yr = ns; // does not compile\n" ; |
| 450 | // picoseconds ps1 = yr; // does not compile, compile-time overflow in ratio arithmetic |
| 451 | std::cout << "ps = yr; // does not compile\n" ; |
| 452 | ns = yr; |
| 453 | picoseconds ps = ns; |
| 454 | std::cout << "100 years expressed as picoseconds = " << ps.count() << '\n'; |
| 455 | ps = ns / sat(1000); |
| 456 | std::cout << "0.1 years expressed as picoseconds = " << ps.count() << '\n'; |
| 457 | yr = years(sat(-200000000)); |
| 458 | std::cout << "200 million years ago encoded in years: " << yr.count() << '\n'; |
| 459 | days d = boost::chrono::duration_cast<days>(fd: yr); |
| 460 | std::cout << "200 million years ago encoded in days: " << d.count() << '\n'; |
| 461 | millennium c = boost::chrono::duration_cast<millennium>(fd: yr); |
| 462 | std::cout << "200 million years ago encoded in millennium: " << c.count() << '\n'; |
| 463 | std::cout << "Demonstrate \"uninitialized protection\" behavior:\n" ; |
| 464 | seconds sec; |
| 465 | for (++sec; sec < seconds(sat(10)); ++sec) |
| 466 | ; |
| 467 | std::cout << sec.count() << '\n'; |
| 468 | std::cout << "\n" ; |
| 469 | } |
| 470 | |
| 471 | void testStdUser() |
| 472 | { |
| 473 | std::cout << "***************\n" ; |
| 474 | std::cout << "* testStdUser *\n" ; |
| 475 | std::cout << "***************\n" ; |
| 476 | using namespace boost::chrono; |
| 477 | hours hr = hours(100); |
| 478 | std::cout << "100 hours expressed as hours = " << hr.count() << '\n'; |
| 479 | nanoseconds ns = hr; |
| 480 | std::cout << "100 hours expressed as nanoseconds = " << ns.count() << '\n'; |
| 481 | ns += hr; |
| 482 | std::cout << "200 hours expressed as nanoseconds = " << ns.count() << '\n'; |
| 483 | ns += hr; |
| 484 | std::cout << "300 hours expressed as nanoseconds = " << ns.count() << '\n'; |
| 485 | // hr = ns; // does not compile |
| 486 | std::cout << "hr = ns; // does not compile\n" ; |
| 487 | // hr * ns; // does not compile |
| 488 | std::cout << "hr * ns; // does not compile\n" ; |
| 489 | duration<double> fs(2.5); |
| 490 | std::cout << "duration<double> has count() = " << fs.count() << '\n'; |
| 491 | // seconds sec = fs; // does not compile |
| 492 | std::cout << "seconds sec = duration<double> won't compile\n" ; |
| 493 | seconds sec = duration_cast<seconds>(fd: fs); |
| 494 | std::cout << "seconds has count() = " << sec.count() << '\n'; |
| 495 | std::cout << "\n" ; |
| 496 | } |
| 497 | |
| 498 | |
| 499 | int main() |
| 500 | { |
| 501 | testStdUser(); |
| 502 | testUser2(); |
| 503 | return 0; |
| 504 | } |
| 505 | |
| 506 | |