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#include <array> | |
#include "ratio.h" | |
template < | |
class A_, class B_, class C_, | |
class D_, class E_, class F_, | |
class G_, class H_, class I_ | |
> | |
struct RatioMatrix { | |
using A = A_; | |
using B = B_; | |
using C = C_; | |
using D = D_; | |
using E = E_; | |
using F = F_; | |
using G = G_; | |
using H = H_; | |
using I = I_; | |
using Determinant = RatioSubtract< | |
RatioAdd< | |
RatioMultiply<A, E, I>, | |
RatioMultiply<B, F, G>, | |
RatioMultiply<C, D, H> | |
>, | |
RatioMultiply<C, E, G>, | |
RatioMultiply<B, D, I>, | |
RatioMultiply<A, F, H> | |
>; | |
using Inverse = RatioMatrix< | |
RatioDivide< | |
RatioSubtract< | |
RatioMultiply<E, I>, | |
RatioMultiply<F, H> | |
>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioNegate<RatioSubtract< | |
RatioMultiply<B, I>, | |
RatioMultiply<C, H> | |
>>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioSubtract< | |
RatioMultiply<B, F>, | |
RatioMultiply<C, E> | |
>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioNegate<RatioSubtract< | |
RatioMultiply<D, I>, | |
RatioMultiply<F, G> | |
>>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioSubtract< | |
RatioMultiply<A, I>, | |
RatioMultiply<C, G> | |
>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioNegate<RatioSubtract< | |
RatioMultiply<A, F>, | |
RatioMultiply<C, D> | |
>>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioSubtract< | |
RatioMultiply<D, H>, | |
RatioMultiply<E, G> | |
>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioNegate<RatioSubtract< | |
RatioMultiply<A, H>, | |
RatioMultiply<B, G> | |
>>, | |
Determinant | |
>, | |
RatioDivide< | |
RatioSubtract< | |
RatioMultiply<A, E>, | |
RatioMultiply<B, D> | |
>, | |
Determinant | |
> | |
>; | |
template <class T> | |
static constexpr std::array<T, 9> array() { | |
return std::array<T, 9>{{ | |
static_cast<T>(A::num) / A::den, | |
static_cast<T>(B::num) / B::den, | |
static_cast<T>(C::num) / C::den, | |
static_cast<T>(D::num) / D::den, | |
static_cast<T>(E::num) / E::den, | |
static_cast<T>(F::num) / F::den, | |
static_cast<T>(G::num) / G::den, | |
static_cast<T>(H::num) / H::den, | |
static_cast<T>(I::num) / I::den | |
}}; | |
} | |
}; |
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