// The MIT License (MIT) // // Copyright (c) 2018 Mateusz Pusz // // Permission is hereby granted, free of charge, to any person obtaining a copy // of this software and associated documentation files (the "Software"), to deal // in the Software without restriction, including without limitation the rights // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell // copies of the Software, and to permit persons to whom the Software is // furnished to do so, subject to the following conditions: // // The above copyright notice and this permission notice shall be included in all // copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE // SOFTWARE. #include #include #include #include #include #include namespace { using namespace mp_units; using namespace mp_units::si::unit_symbols; using namespace mp_units::yard_pound; using namespace mp_units::yard_pound::unit_symbols; // Mass static_assert(47 * isq::mass[lb] < 47 * isq::mass[si::kilogram]); static_assert(1 * isq::mass[lb] == 16 * isq::mass[oz]); static_assert(1 * isq::mass[oz] == 16 * isq::mass[dr]); static_assert(7'000 * isq::mass[gr] == 1 * isq::mass[lb]); // Length // https://en.wikipedia.org/wiki/United_States_customary_units#Length static_assert(20 * isq::length[twip] == 1 * isq::length[p]); static_assert(1000 * isq::length[mil] == 1 * isq::length[in]); static_assert(72 * isq::length[p] == 1 * isq::length[in]); static_assert(1 * isq::length[P] == 12 * isq::length[p]); static_assert(1 * isq::length[in] == 6 * isq::length[P]); static_assert(1 * isq::length[ft] == 12 * isq::length[in]); static_assert(1 * isq::length[yd] == 3 * isq::length[ft]); static_assert(10'000 * isq::length[yd] == 9'144 * isq::length[si::metre]); static_assert(1 * isq::length[mi] == 5280 * isq::length[ft]); static_assert(1 * isq::length[mi] == 1760 * isq::length[yd]); static_assert(1 * isq::length[lea] == 15'840 * isq::length[ft]); static_assert(1 * isq::length[lea] == 5280 * isq::length[yd]); static_assert(1 * isq::length[ftm] == 2 * isq::length[yd]); // Nautical static_assert(1 * isq::length[nmi] == 1852 * isq::length[si::metre]); static_assert(1 * isq::speed[kn] == isq::length(1 * nmi) / isq::duration(1 * si::hour)); // Force static_assert(1 * isq::force[pdl] == isq::mass(1 * lb) * isq::length(1 * ft) / (isq::duration(1 * si::second) * isq::duration(1 * si::second))); static_assert(1 * isq::force[lbf] == isq::mass(1 * lb) * (1 * si::standard_gravity)); static_assert(1 * isq::force[kip] == 1000 * isq::force[lbf]); // Pressure static_assert(1 * isq::pressure[psi] == isq::force(1 * lbf) / isq::area(1 * square(inch))); // Power static_assert(1 * isq::power[hp] == isq::length(33'000 * ft) * isq::force(1 * lbf) / isq::duration(1 * si::minute)); // Cross-unit integer comparisons: both operand values fit in int64, but both scaled intermediates // exceed INT64_MAX and require __int128 arithmetic (double_width_int_for_t) to compare // correctly — demonstrating the overflow-safe widening introduced for cross-unit comparisons. // lb vs kg: common unit is their magnitude-GCD (≈ 1.7×10⁻⁷ g), scale factors are huge. // 100'000'000'000'000 × factor_lb ≈ 4.54×10²¹ > INT64_MAX static_assert(100'000'000'000'000 * isq::mass[lb] == 45'359'237'000'000 * isq::mass[si::kilogram]); // mi vs km: common unit is 64 mm (GCD of 1'609'344 mm and 1'000'000 mm); // scale factors km→cu = 15'625, mi→cu = 25'146. // 590'295'810'380'364 × 15'625 ≈ 9.223×10¹⁸ > INT64_MAX // 366'792'811'468'750 × 25'146 ≈ 9.223×10¹⁸ > INT64_MAX static_assert(590'295'810'380'364LL * isq::length[km] == 366'792'811'468'750LL * isq::length[mi]); static_assert(590'295'810'380'364LL * isq::length[km] > 366'792'811'468'749LL * isq::length[mi]); static_assert(590'295'810'380'364LL * isq::length[km] < 366'792'811'468'751LL * isq::length[mi]); // Comparisons disabled at compile-time when unit-ratio scaling would overflow even __int128. // A template wrapper is used so that SFINAE failure inside requires is a soft error, not a // hard error on GCC. template constexpr bool no_cross_unit_int_comparison = !requires { 1 * R1 == 1 * R2; } && !requires { 1 * R1 < 1 * R2; } && !requires { 1 * R2 == 1 * R1; } && !requires { 1 * R2 < 1 * R1; }; // cubic(mi) vs cubic(pm): factor = (1.609344×10^15)^3 ≈ 4.17×10^45 > 2^127, // so even value=1 makes integer comparison ill-formed. static_assert(no_cross_unit_int_comparison); } // namespace