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@@ -22,61 +22,64 @@
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#include "almost_equals.h"
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#include "almost_equals.h"
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#include <catch2/catch_all.hpp>
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#include <catch2/catch_all.hpp>
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#include <units/isq/si/area.h>
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#include <units/isq/space_and_time.h>
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#include <units/isq/si/cgs/length.h>
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#include <units/isq/si/length.h>
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#include <units/isq/si/time.h>
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#include <units/isq/si/volume.h>
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#include <units/math.h>
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#include <units/math.h>
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#include <units/quantity_io.h>
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#include <units/quantity_io.h>
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#include <units/si/unit_symbols.h>
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#include <units/si/units.h>
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#include <limits>
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#include <limits>
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using namespace units;
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using namespace units;
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using namespace units::isq;
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using namespace units::si::unit_symbols;
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using namespace units::isq::si::literals;
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// classical
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// classical
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TEST_CASE("'pow<N>()' on quantity changes the value and the dimension accordingly", "[math][pow]")
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TEST_CASE("'pow<N>()' on quantity changes the value and the dimension accordingly", "[math][pow]")
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{
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{
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SECTION("'pow<0>(q)' returns '1'") { CHECK(pow<0>(2_q_m) == 1); }
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SECTION("'pow<0>(q)' returns '1'") { CHECK(pow<0>(2 * isq::length[m]) == 1); }
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SECTION("'pow<1>(q)' returns 'q'") { CHECK(pow<1>(2_q_m) == 2_q_m); }
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SECTION("'pow<1>(q)' returns 'q'") { CHECK(pow<1>(2 * isq::length[m]) == 2 * isq::length[m]); }
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SECTION("'pow<2>(q)' squares both the value and a dimension") { CHECK(pow<2>(2_q_m) == 4_q_m2); }
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SECTION("'pow<2>(q)' squares both the value and a dimension")
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{
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CHECK(pow<2>(2 * isq::length[m]) == 4 * isq::area[m2]);
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}
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SECTION("'pow<3>(q)' cubes both the value and a dimension") { CHECK(pow<3>(2_q_m) == 8_q_m3); }
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SECTION("'pow<3>(q)' cubes both the value and a dimension")
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{
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CHECK(pow<3>(2 * isq::length[m]) == 8 * isq::volume[m3]);
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}
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}
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}
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TEST_CASE("'sqrt()' on quantity changes the value and the dimension accordingly", "[math][sqrt]")
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TEST_CASE("'sqrt()' on quantity changes the value and the dimension accordingly", "[math][sqrt]")
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{
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{
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REQUIRE(sqrt(4_q_m2) == 2_q_m);
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REQUIRE(sqrt(4 * isq::area[m2]) == 2 * isq::length[m]);
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}
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}
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TEST_CASE("'cbrt()' on quantity changes the value and the dimension accordingly", "[math][cbrt]")
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TEST_CASE("'cbrt()' on quantity changes the value and the dimension accordingly", "[math][cbrt]")
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{
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{
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REQUIRE(cbrt(8_q_m3) == 2_q_m);
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REQUIRE(cbrt(8 * isq::volume[m3]) == 2 * isq::length[m]);
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}
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}
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TEST_CASE("'pow<Num, Den>()' on quantity changes the value and the dimension accordingly", "[math][pow]")
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TEST_CASE("'pow<Num, Den>()' on quantity changes the value and the dimension accordingly", "[math][pow]")
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{
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{
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REQUIRE(pow<1, 4>(16_q_m2) == sqrt(4_q_m));
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REQUIRE(pow<1, 4>(16 * isq::area[m2]) == sqrt(4 * isq::length[m]));
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}
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}
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TEST_CASE("absolute functions on quantity returns the absolute value", "[math][abs][fabs]")
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TEST_CASE("absolute functions on quantity returns the absolute value", "[math][abs][fabs]")
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{
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{
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SECTION("'abs()' on a negative quantity returns the abs")
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SECTION("'abs()' on a negative quantity returns the abs")
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{
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{
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SECTION("integral representation") { REQUIRE(abs(-1_q_m) == 1_q_m); }
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SECTION("integral representation") { REQUIRE(abs(-1 * isq::length[m]) == 1 * isq::length[m]); }
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SECTION("floating-point representation") { REQUIRE(abs(-1._q_m) == 1_q_m); }
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SECTION("floating-point representation") { REQUIRE(abs(-1. * isq::length[m]) == 1 * isq::length[m]); }
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}
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}
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SECTION("'abs()' on a positive quantity returns the abs")
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SECTION("'abs()' on a positive quantity returns the abs")
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{
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{
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SECTION("integral representation") { REQUIRE(abs(1_q_m) == 1_q_m); }
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SECTION("integral representation") { REQUIRE(abs(1 * isq::length[m]) == 1 * isq::length[m]); }
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SECTION("floating-point representation") { REQUIRE(abs(1._q_m) == 1_q_m); }
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SECTION("floating-point representation") { REQUIRE(abs(1. * isq::length[m]) == 1 * isq::length[m]); }
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}
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}
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}
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}
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@@ -84,303 +87,219 @@ TEST_CASE("numeric_limits functions", "[limits]")
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{
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{
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SECTION("'epsilon' works as expected using default floating type")
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SECTION("'epsilon' works as expected using default floating type")
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{
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{
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REQUIRE(epsilon<decltype(1._q_m)>().number() == std::numeric_limits<decltype(1._q_m)::rep>::epsilon());
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REQUIRE(epsilon<double>(isq::length[m]).number() ==
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std::numeric_limits<decltype(1. * isq::length[m])::rep>::epsilon());
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}
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}
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SECTION("'epsilon' works as expected using integers")
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SECTION("'epsilon' works as expected using integers")
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{
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{
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REQUIRE(epsilon<decltype(1_q_m)>().number() == std::numeric_limits<decltype(1_q_m)::rep>::epsilon());
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REQUIRE(epsilon<int>(isq::length[m]).number() == std::numeric_limits<decltype(1 * isq::length[m])::rep>::epsilon());
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}
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SECTION("'epsilon' works as expected using mixed Rep types")
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{
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REQUIRE(epsilon<decltype(1_q_m)>().number() != std::numeric_limits<decltype(1._q_m)::rep>::epsilon());
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}
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}
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}
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}
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TEST_CASE("floor functions", "[floor]")
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TEST_CASE("floor functions", "[floor]")
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{
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{
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SECTION("floor 1 second with target unit second should be 1 second") { REQUIRE(floor<si::second>(1_q_s) == 1_q_s); }
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SECTION("floor 1 second with target unit second should be 1 second")
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{
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REQUIRE(floor<si::second>(1 * isq::time[s]) == 1 * isq::time[s]);
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}
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SECTION("floor 1000 milliseconds with target unit second should be 1 second")
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SECTION("floor 1000 milliseconds with target unit second should be 1 second")
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{
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{
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REQUIRE(floor<si::second>(1000_q_ms) == 1_q_s);
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REQUIRE(floor<si::second>(1000 * isq::time[ms]) == 1 * isq::time[s]);
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}
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}
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SECTION("floor 1001 milliseconds with target unit second should be 1 second")
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SECTION("floor 1001 milliseconds with target unit second should be 1 second")
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{
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{
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REQUIRE(floor<si::second>(1001_q_ms) == 1_q_s);
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REQUIRE(floor<si::second>(1001 * isq::time[ms]) == 1 * isq::time[s]);
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}
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}
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SECTION("floor 1999 milliseconds with target unit second should be 1 second")
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SECTION("floor 1999 milliseconds with target unit second should be 1 second")
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{
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{
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REQUIRE(floor<si::second>(1999_q_ms) == 1_q_s);
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REQUIRE(floor<si::second>(1999 * isq::time[ms]) == 1 * isq::time[s]);
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}
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}
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SECTION("floor -1000 milliseconds with target unit second should be -1 second")
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SECTION("floor -1000 milliseconds with target unit second should be -1 second")
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{
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{
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REQUIRE(floor<si::second>(-1000_q_ms) == -1_q_s);
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REQUIRE(floor<si::second>(-1000 * isq::time[ms]) == -1 * isq::time[s]);
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}
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}
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SECTION("floor -999 milliseconds with target unit second should be -1 second")
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SECTION("floor -999 milliseconds with target unit second should be -1 second")
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{
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{
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REQUIRE(floor<si::second>(-999_q_ms) == -1_q_s);
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REQUIRE(floor<si::second>(-999 * isq::time[ms]) == -1 * isq::time[s]);
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}
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}
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SECTION("floor 1.3 seconds with target unit second should be 1 second")
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SECTION("floor 1.3 seconds with target unit second should be 1 second")
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{
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{
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REQUIRE(floor<si::second>(1.3_q_s) == 1_q_s);
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REQUIRE(floor<si::second>(1.3 * isq::time[s]) == 1 * isq::time[s]);
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}
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}
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SECTION("floor -1.3 seconds with target unit second should be -2 seconds")
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SECTION("floor -1.3 seconds with target unit second should be -2 seconds")
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{
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{
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REQUIRE(floor<si::second>(-1.3_q_s) == -2_q_s);
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REQUIRE(floor<si::second>(-1.3 * isq::time[s]) == -2 * isq::time[s]);
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}
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}
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SECTION("floor 1001. milliseconds with target unit second should be 1 second")
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SECTION("floor 1001. milliseconds with target unit second should be 1 second")
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{
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{
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REQUIRE(floor<si::second>(1001._q_ms) == 1_q_s);
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REQUIRE(floor<si::second>(1001. * isq::time[ms]) == 1 * isq::time[s]);
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}
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}
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SECTION("floor 1999. milliseconds with target unit second should be 1 second")
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SECTION("floor 1999. milliseconds with target unit second should be 1 second")
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{
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{
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REQUIRE(floor<si::second>(1999._q_ms) == 1_q_s);
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REQUIRE(floor<si::second>(1999. * isq::time[ms]) == 1 * isq::time[s]);
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}
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}
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SECTION("floor -1000. milliseconds with target unit second should be -1 second")
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SECTION("floor -1000. milliseconds with target unit second should be -1 second")
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{
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{
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REQUIRE(floor<si::second>(-1000._q_ms) == -1_q_s);
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REQUIRE(floor<si::second>(-1000. * isq::time[ms]) == -1 * isq::time[s]);
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}
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}
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SECTION("floor -999. milliseconds with target unit second should be -1 second")
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SECTION("floor -999. milliseconds with target unit second should be -1 second")
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{
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{
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REQUIRE(floor<si::second>(-999._q_ms) == -1_q_s);
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REQUIRE(floor<si::second>(-999. * isq::time[ms]) == -1 * isq::time[s]);
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}
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SECTION("floor 1 second with target quantity with unit type second should be 1 second")
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{
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using showtime = si::time<si::second, int>;
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REQUIRE(floor<showtime>(showtime::one()) == showtime::one());
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}
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}
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// TODO Add tests for `N`, `kN` and `kg * m / s2` i `kg * km / s2`
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}
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}
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TEST_CASE("ceil functions", "[ceil]")
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TEST_CASE("ceil functions", "[ceil]")
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{
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{
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SECTION("ceil 1 second with target unit second should be 1 second") { REQUIRE(ceil<si::second>(1_q_s) == 1_q_s); }
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SECTION("ceil 1 second with target unit second should be 1 second")
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{
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REQUIRE(ceil<si::second>(1 * isq::time[s]) == 1 * isq::time[s]);
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}
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SECTION("ceil 1000 milliseconds with target unit second should be 1 second")
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SECTION("ceil 1000 milliseconds with target unit second should be 1 second")
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{
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{
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REQUIRE(ceil<si::second>(1000_q_ms) == 1_q_s);
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REQUIRE(ceil<si::second>(1000 * isq::time[ms]) == 1 * isq::time[s]);
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}
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}
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SECTION("ceil 1001 milliseconds with target unit second should be 2 seconds")
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SECTION("ceil 1001 milliseconds with target unit second should be 2 seconds")
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{
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{
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REQUIRE(ceil<si::second>(1001_q_ms) == 2_q_s);
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REQUIRE(ceil<si::second>(1001 * isq::time[ms]) == 2 * isq::time[s]);
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}
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}
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SECTION("ceil 1999 milliseconds with target unit second should be 2 seconds")
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SECTION("ceil 1999 milliseconds with target unit second should be 2 seconds")
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{
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{
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REQUIRE(ceil<si::second>(1999_q_ms) == 2_q_s);
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REQUIRE(ceil<si::second>(1999 * isq::time[ms]) == 2 * isq::time[s]);
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}
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}
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SECTION("ceil -1000 milliseconds with target unit second should be -1 second")
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SECTION("ceil -1000 milliseconds with target unit second should be -1 second")
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{
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{
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REQUIRE(ceil<si::second>(-1000_q_ms) == -1_q_s);
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REQUIRE(ceil<si::second>(-1000 * isq::time[ms]) == -1 * isq::time[s]);
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}
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}
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SECTION("ceil -999 milliseconds with target unit second should be 0 seconds")
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SECTION("ceil -999 milliseconds with target unit second should be 0 seconds")
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{
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{
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REQUIRE(ceil<si::second>(-999_q_ms) == 0_q_s);
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REQUIRE(ceil<si::second>(-999 * isq::time[ms]) == 0 * isq::time[s]);
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}
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}
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SECTION("ceil 1.3 seconds with target unit second should be 2 seconds")
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SECTION("ceil 1.3 seconds with target unit second should be 2 seconds")
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{
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{
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REQUIRE(ceil<si::second>(1.3_q_s) == 2_q_s);
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REQUIRE(ceil<si::second>(1.3 * isq::time[s]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("ceil -1.3 seconds with target unit second should be -1 second")
|
|
|
|
SECTION("ceil -1.3 seconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(ceil<si::second>(-1.3_q_s) == -1_q_s);
|
|
|
|
REQUIRE(ceil<si::second>(-1.3 * isq::time[s]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("ceil 1001. milliseconds with target unit second should be 2 seconds")
|
|
|
|
SECTION("ceil 1001. milliseconds with target unit second should be 2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(ceil<si::second>(1001._q_ms) == 2_q_s);
|
|
|
|
REQUIRE(ceil<si::second>(1001. * isq::time[ms]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("ceil 1999. milliseconds with target unit second should be 2 seconds")
|
|
|
|
SECTION("ceil 1999. milliseconds with target unit second should be 2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(ceil<si::second>(1999._q_ms) == 2_q_s);
|
|
|
|
REQUIRE(ceil<si::second>(1999. * isq::time[ms]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("ceil -1000. milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("ceil -1000. milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(ceil<si::second>(-1000._q_ms) == -1_q_s);
|
|
|
|
REQUIRE(ceil<si::second>(-1000. * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("ceil -999. milliseconds with target unit second should be 0 seconds")
|
|
|
|
SECTION("ceil -999. milliseconds with target unit second should be 0 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(ceil<si::second>(-999._q_ms) == 0_q_s);
|
|
|
|
REQUIRE(ceil<si::second>(-999. * isq::time[ms]) == 0 * isq::time[s]);
|
|
|
|
}
|
|
|
|
|
|
|
|
SECTION("ceil 1 second with target quantity with unit type second should be 1 second")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
using showtime = si::time<si::second, int>;
|
|
|
|
|
|
|
|
REQUIRE(ceil<showtime>(showtime::one()) == showtime::one());
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
TEST_CASE("round functions", "[round]")
|
|
|
|
TEST_CASE("round functions", "[round]")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
SECTION("round 1 second with target unit second should be 1 second") { REQUIRE(round<si::second>(1_q_s) == 1_q_s); }
|
|
|
|
SECTION("round 1 second with target unit second should be 1 second")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
REQUIRE(round<si::second>(1 * isq::time[s]) == 1 * isq::time[s]);
|
|
|
|
|
|
|
|
}
|
|
|
|
SECTION("round 1000 milliseconds with target unit second should be 1 second")
|
|
|
|
SECTION("round 1000 milliseconds with target unit second should be 1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1000_q_ms) == 1_q_s);
|
|
|
|
REQUIRE(round<si::second>(1000 * isq::time[ms]) == 1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1001 milliseconds with target unit second should be 1 second")
|
|
|
|
SECTION("round 1001 milliseconds with target unit second should be 1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1001_q_ms) == 1_q_s);
|
|
|
|
REQUIRE(round<si::second>(1001 * isq::time[ms]) == 1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1499 milliseconds with target unit second should be 1 second")
|
|
|
|
SECTION("round 1499 milliseconds with target unit second should be 1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1499_q_ms) == 1_q_s);
|
|
|
|
REQUIRE(round<si::second>(1499 * isq::time[ms]) == 1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1500 milliseconds with target unit second should be 2 seconds")
|
|
|
|
SECTION("round 1500 milliseconds with target unit second should be 2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1500_q_ms) == 2_q_s);
|
|
|
|
REQUIRE(round<si::second>(1500 * isq::time[ms]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1999 milliseconds with target unit second should be 2 seconds")
|
|
|
|
SECTION("round 1999 milliseconds with target unit second should be 2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1999_q_ms) == 2_q_s);
|
|
|
|
REQUIRE(round<si::second>(1999 * isq::time[ms]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1000 milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("round -1000 milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1000_q_ms) == -1_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1000 * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1001 milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("round -1001 milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1001_q_ms) == -1_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1001 * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1499 milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("round -1499 milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1499_q_ms) == -1_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1499 * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1500 milliseconds with target unit second should be -2 seconds")
|
|
|
|
SECTION("round -1500 milliseconds with target unit second should be -2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1500_q_ms) == -2_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1500 * isq::time[ms]) == -2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1999 milliseconds with target unit second should be -2 seconds")
|
|
|
|
SECTION("round -1999 milliseconds with target unit second should be -2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1999_q_ms) == -2_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1999 * isq::time[ms]) == -2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1000. milliseconds with target unit second should be 1 second")
|
|
|
|
SECTION("round 1000. milliseconds with target unit second should be 1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1000._q_ms) == 1_q_s);
|
|
|
|
REQUIRE(round<si::second>(1000. * isq::time[ms]) == 1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1001. milliseconds with target unit second should be 1 second")
|
|
|
|
SECTION("round 1001. milliseconds with target unit second should be 1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1001._q_ms) == 1_q_s);
|
|
|
|
REQUIRE(round<si::second>(1001. * isq::time[ms]) == 1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1499. milliseconds with target unit second should be 1 second")
|
|
|
|
SECTION("round 1499. milliseconds with target unit second should be 1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1499._q_ms) == 1_q_s);
|
|
|
|
REQUIRE(round<si::second>(1499. * isq::time[ms]) == 1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1500. milliseconds with target unit second should be 2 seconds")
|
|
|
|
SECTION("round 1500. milliseconds with target unit second should be 2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1500._q_ms) == 2_q_s);
|
|
|
|
REQUIRE(round<si::second>(1500. * isq::time[ms]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round 1999. milliseconds with target unit second should be 2 seconds")
|
|
|
|
SECTION("round 1999. milliseconds with target unit second should be 2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(1999._q_ms) == 2_q_s);
|
|
|
|
REQUIRE(round<si::second>(1999. * isq::time[ms]) == 2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1000. milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("round -1000. milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1000._q_ms) == -1_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1000. * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1001. milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("round -1001. milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1001._q_ms) == -1_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1001. * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1499. milliseconds with target unit second should be -1 second")
|
|
|
|
SECTION("round -1499. milliseconds with target unit second should be -1 second")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1499._q_ms) == -1_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1499. * isq::time[ms]) == -1 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1500. milliseconds with target unit second should be -2 seconds")
|
|
|
|
SECTION("round -1500. milliseconds with target unit second should be -2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1500._q_ms) == -2_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1500. * isq::time[ms]) == -2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("round -1999. milliseconds with target unit second should be -2 seconds")
|
|
|
|
SECTION("round -1999. milliseconds with target unit second should be -2 seconds")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(round<si::second>(-1999._q_ms) == -2_q_s);
|
|
|
|
REQUIRE(round<si::second>(-1999. * isq::time[ms]) == -2 * isq::time[s]);
|
|
|
|
}
|
|
|
|
|
|
|
|
SECTION("round 1 second with target quantity with unit type second should be 1 second")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
using showtime = si::time<si::second, int>;
|
|
|
|
|
|
|
|
REQUIRE(round<showtime>(showtime::one()) == showtime::one());
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
TEST_CASE("hypot functions", "[hypot]")
|
|
|
|
TEST_CASE("hypot functions", "[hypot]")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
using namespace units::aliases::isq::si;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SECTION("hypot should work on the same quantities")
|
|
|
|
SECTION("hypot should work on the same quantities")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(hypot(km<>(3.), km<>(4.)) == km<>(5.));
|
|
|
|
REQUIRE(hypot(3. * isq::length[km], 4. * isq::length[km]) == 5. * isq::length[km]);
|
|
|
|
REQUIRE(hypot(km<>(2.), km<>(3.), km<>(6.)) == km<>(7.));
|
|
|
|
REQUIRE(hypot(2. * isq::length[km], 3. * isq::length[km], 6. * isq::length[km]) == 7. * isq::length[km]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
SECTION("hypot should work with different units of the same dimension")
|
|
|
|
SECTION("hypot should work with different units of the same dimension")
|
|
|
|
{
|
|
|
|
{
|
|
|
|
REQUIRE(hypot(km<>(3.), m<>(4000.)) == km<>(5.));
|
|
|
|
REQUIRE(hypot(3. * isq::length[km], 4000. * isq::length[m]) == 5. * isq::length[km]);
|
|
|
|
REQUIRE(hypot(km<>(2.), m<>(3000.), km<>(6.)) == km<>(7.));
|
|
|
|
REQUIRE(hypot(2. * isq::length[km], 3000. * isq::length[m], 6. * isq::length[km]) == 7. * isq::length[km]);
|
|
|
|
}
|
|
|
|
|
|
|
|
SECTION("hypot should work with different but equivalent dimensions")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
REQUIRE(hypot(km<>(3.), cgs::length::cm<>(400'000.)) == km<>(5.));
|
|
|
|
|
|
|
|
REQUIRE(hypot(km<>(2.), cgs::length::cm<>(300'000.), km<>(6.)) == km<>(7.));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
TEST_CASE("trigonometric functions", "[trig]")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
using namespace units::aliases;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SECTION("sin")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(deg<>(0.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(deg<>(90.)), AlmostEquals(quantity{1.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(deg<>(180.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(deg<>(270.)), AlmostEquals(quantity{-1.}));
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(grad<>(0.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(grad<>(100.)), AlmostEquals(quantity{1.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(grad<>(200.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(sin(grad<>(300.)), AlmostEquals(quantity{-1.}));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SECTION("cos")
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(deg<>(0.)), AlmostEquals(quantity{1.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(deg<>(90.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(deg<>(180.)), AlmostEquals(quantity{-1.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(deg<>(270.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(grad<>(0.)), AlmostEquals(quantity{1.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(grad<>(100.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(grad<>(200.)), AlmostEquals(quantity{-1.}));
|
|
|
|
|
|
|
|
REQUIRE_THAT(cos(grad<>(300.)), AlmostEquals(quantity{0.}));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SECTION("tan")
|
|
|
|
|
|
|
|
{
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REQUIRE_THAT(tan(deg<>(0.)), AlmostEquals(quantity{0.}));
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REQUIRE_THAT(tan(deg<>(45.)), AlmostEquals(quantity{1.}));
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REQUIRE_THAT(tan(deg<>(135.)), AlmostEquals(quantity{-1.}));
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REQUIRE_THAT(tan(deg<>(180.)), AlmostEquals(quantity{0.}));
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REQUIRE_THAT(tan(grad<>(0.)), AlmostEquals(quantity{0.}));
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REQUIRE_THAT(tan(grad<>(50.)), AlmostEquals(quantity{1.}));
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REQUIRE_THAT(tan(grad<>(150.)), AlmostEquals(quantity{-1.}));
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REQUIRE_THAT(tan(grad<>(200.)), AlmostEquals(quantity{0.}));
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}
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}
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TEST_CASE("inverse trigonometric functions", "[inv trig]")
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{
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using namespace units::aliases;
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SECTION("asin")
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{
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REQUIRE_THAT(asin(quantity{-1.}), AlmostEquals(deg<>(-90.)));
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REQUIRE_THAT(asin(quantity{0.}), AlmostEquals(deg<>(0.)));
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REQUIRE_THAT(asin(quantity{1.}), AlmostEquals(deg<>(90.)));
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}
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SECTION("acos")
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{
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REQUIRE_THAT(asin(quantity{-1.}), AlmostEquals(deg<>(-90.)));
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REQUIRE_THAT(asin(quantity{0.}), AlmostEquals(deg<>(0.)));
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REQUIRE_THAT(asin(quantity{1.}), AlmostEquals(deg<>(90.)));
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}
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SECTION("atan")
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{
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REQUIRE_THAT(atan(quantity{-1.}), AlmostEquals(deg<>(-45.)));
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REQUIRE_THAT(atan(quantity{0.}), AlmostEquals(deg<>(0.)));
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REQUIRE_THAT(atan(quantity{1.}), AlmostEquals(deg<>(45.)));
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}
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}
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}
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}
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