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#pragma once | ||
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#include <type_traits> | ||
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namespace geometry::detail { | ||
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template <class...> | ||
struct all_same : std::false_type | ||
{}; | ||
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template <> | ||
struct all_same<> : std::true_type | ||
{}; | ||
template <class T> | ||
struct all_same<T> : std::true_type | ||
{}; | ||
template <class T, class... Ts> | ||
struct all_same<T, Ts...> : std::bool_constant<((std::is_same_v<T, Ts>)and...)> | ||
{}; | ||
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template <class... Ts> | ||
inline constexpr auto all_same_v = all_same<Ts...>::value; | ||
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} // namespace geometry::detail |
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#pragma once | ||
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#include <cstddef> | ||
#include <tuple> | ||
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namespace geometry::detail { | ||
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template <class B> | ||
class ordered | ||
{ | ||
template < | ||
template <std::size_t...> | ||
class blade, | ||
std::size_t... Is, | ||
std::size_t... Js> | ||
static constexpr auto | ||
compare_dimensions(ordered<blade<Is...>>, ordered<blade<Js...>>) | ||
{ | ||
return std::tuple{Is...} < std::tuple{Js...}; | ||
} | ||
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template <class B2> | ||
friend constexpr auto operator<(ordered x, ordered<B2> y) -> bool | ||
{ | ||
if constexpr (B::grade == B2::grade) { | ||
return compare_dimensions(x, y); | ||
} else { | ||
return B::grade < B2::grade; | ||
} | ||
} | ||
}; | ||
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} // namespace geometry::detail |
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#include "geometry/geometry.hpp" | ||
#include "skytest/skytest.hpp" | ||
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#include <cstddef> | ||
#include <tuple> | ||
#include <type_traits> | ||
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template <std::size_t... Is> | ||
constexpr auto e = ::geometry::algebra<double, 2>::e<Is...>; | ||
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/// construct a multivector from blades | ||
/// | ||
inline constexpr struct | ||
{ | ||
template < | ||
class... Bs, | ||
class = std::enable_if_t< | ||
sizeof...(Bs) != 0 and | ||
::geometry::detail::all_same_v<typename Bs::algebra_type...>>> | ||
[[nodiscard]] | ||
constexpr auto | ||
operator()(Bs... bs) const | ||
{ | ||
using Algebra = std::common_type_t<typename Bs::algebra_type...>; | ||
return typename Algebra::template multivector<Bs...>{bs...}; | ||
} | ||
} multivector{}; | ||
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auto main() -> int | ||
{ | ||
using namespace ::skytest::literals; | ||
using ::skytest::eq; | ||
using ::skytest::expect; | ||
using ::skytest::param_ref; | ||
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static constexpr auto multivectors = std::tuple{ | ||
multivector(e<>), | ||
multivector(e<>, e<0>), | ||
multivector(e<>, e<1>), | ||
multivector(e<>, e<2>), | ||
multivector(e<>, e<0>, e<1, 2>), | ||
multivector(e<>, e<0, 1>, e<1, 2>), | ||
multivector(e<>, e<0, 1, 2>)}; | ||
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"multivector with same elements comparable"_ctest * | ||
param_ref<multivectors> = // | ||
[](auto v) { return expect(eq(v, v)); }; | ||
} |