stdx::interval, a library for intervals on totally ordered sets Eric Hughes, Meadhbh Hamrick stdx::interval, a library for intervals on totally ordered sets Eric Hughes, Meadhbh Hamrick In brief stdx::interval stdx::interval implements the mathematical sense of an interval on a totally ordered set. The library reasons about intervals as sets, not as interval expressions. The library is header-only and targets under the MIT License. Features Predicates Membership. Determine if a point is a member of the interval as a set. Equality. Compares the intervals as sets, not as specifications. Operations Point comparison

template <stdx::ct_string C, stdx::ct_string L, stdx::ct_string S, typename Ctx> bool handled{}; 1 2 3 4 5 struct debug_handler { 6 template <stdx::ct_string C, stdx::ct_string L, stdx::ct_string S template <stdx::ct_string C, stdx::ct_string L, stdx::ct_string S, typename Ctx> bool handled{}; 1 2 3 4 5 struct debug_handler { 6 template <stdx::ct_string C, stdx::ct_string L, stdx::ct_string S template <stdx::ct_string C, stdx::ct_string L, stdx::ct_string S, typename Ctx> constexpr auto signal(auto ...) -> void { handled = true; } }; } 1 2 template <stdx::ct_string C

&val1, const T &val2) { // ... auto mask = u < thres; if (stdx::any_of(mask)) twoF = 2.0 + u * (2.0 / 3.0 + u * (0.4 + 2.0 / 7.0 * u)); if (!stdx::all_of(mask)) where(!mask, twoF) = log(zeta) / f; // simd_members(result, result, [&](auto& d, const auto& s) { d[i] = log(s[i]); }); } } return result; } { if (!stdx::all_of(mask)) where(!mask, twoF) = MaskedLog(mask, zeta) / f; }Extended Features: Handling of Conditions reflection support 39 Olaf Krzikalla, DLR SP, 2024-09-17 template requires(!is_stdx_simd) inline auto where(const M& mask, T& dest) { return simd_access::where_expression(mask

&&; 85generator function construction #include namespace stdx = std::experimental; using intv = stdx::fixed_size_simd; std::random_device rd; // a seed source for the random namespace stdx = std::experimental; using intv = stdx::fixed_size_simd; int main() { std::array a_data = {-1, 2, 3, 4, 5, 6, 7, -8}; intv a; a.copy_from( a_data.begin(), stdx::vector_aligned

end(), [](auto& v) { 3 v = std::sin(v); 4 }); 5 } • Lambda called with stdx::native_simd. • Epilogue: called with stdx::simd with different Abi so that the remainder of data is processed

setHandler(SIGSEGV, onFault); for(Function* f: functions) { f->setTrap(); } setTimer(interval); int r = stabilizer_main(argc, argv); return r; } void setTimer(int msec) { struct 1000) / 1000; timer.it_value.tv_usec = 1000 * (msec % 1000); timer.it_interval.tv_sec = 0; timer.it_interval.tv_usec = 0; setitimer(ITIMER_REAL, &timer, 0); } A Typical performance setHandler(SIGSEGV, onFault); for(Function* f: functions) { f->setTrap(); } setTimer(interval); int r = stabilizer_main(argc, argv); return r; } void setTimer(int msec) { struct

Output C Input A Input B Output C Matrix Multiplication 58 fern::Interval (x, C.R_start, C.R_start + C.R_len, len_x)( fern::Interval (y, C.C_start, C.C_start + C.C_len, len_y)( fern::Compute( fern::Producer( void gemm(Matrix A,Matrix B,Matrix C); fern::Interval (x, out.x_start, out.x_start + out.x_len, l fern::Interval (y, out.y_start, out.y_start + out.y_len, l fern::Compute( fern::Producer(Input fern::Producer(Input A Input B Output C Matrix Multiplication 59 fern::Interval (x, C.R_start, C.R_start + C.R_len, len_x)( fern::Interval (y, C.C_start, C.C_start + C.C_len, len_y)( fern::Compute( fern::Producer(

There must be some n × 10F inside the permissible interval.Tejú Jaguá - Ⅰ n × 10 F ≅ m × 2E 2E There must be some inside the permissible interval. n × 10F If is bad, then two consecutive numbers before and after the permissible interval and thus, . F u v v − u = 10 F > 2E u vTejú Jaguá - Ⅰ n × 10 F ≅ m × 2E 2E There must be some inside the permissible interval. n × 10F If is bad, then two permissible interval and thus, . F u v v − u = 10 F > 2E The larger , the shorter . F n u vTejú Jaguá - Ⅰ n × 10 F ≅ m × 2E 2E There must be some inside the permissible interval. n × 10F If

query_driver_reason reason; }; struct query_driver_settings { std::chrono::nanoseconds poll_interval; }; 27 template struct query_driver state.heartbeat_timer, query_driver_async_heartbeat_events( state.driver, config.heartbeat_interval()), [ptr = std::move(ptr)] (auto ec, auto stats) mutable { ptr->done(std::move(ptr)

a (- count 1)))) (define (even-fibs n) (accumulate cons nil (filter even? (map fib (enumerate-interval 0 n)))))(define (fib n) (define (fib-iter a b count) (if (= count 0) b (fib-iter (+ a b) a (- (fib-iter 1 0 n)) (define (even-fibs n) (accumulate cons nil (filter even? (map fib (enumerate-interval 0 n)))))C++20 Ranges C++20 Concepts C++14 Generic Lambdas C++14 Function Deduced Return