matrix.hpp

#ifndef TOPAZ_CORE_MATRIX_HPP
#define TOPAZ_CORE_MATRIX_HPP
#include <array>
#include <concepts>
 
namespace tz
{
    template<typename T, int N>
    requires std::integral<T> || std::floating_point<T>
    struct matrix
    {
        static constexpr matrix<T, N> zero()
        {
            return matrix<T, N>::filled(T{0});
        }

        static constexpr matrix<T, N> iden()
        {
            auto ret = matrix<T, N>::zero();
            for(std::size_t i = 0; i < N; i++)
            {
                ret.mat[i * N + i] = T{1};
            }
            return ret;
        }
    
        static constexpr matrix<T, N> filled(T t)
        {
            matrix<T, N> ret;
            std::fill(ret.mat.begin(), ret.mat.end(), t);
            return ret;
        }
 
        matrix<T, N>() = default;
        matrix(const matrix<T, N>& cpy) = default;
        matrix(matrix<T, N>&& move) = default;
        matrix& operator=(const matrix<T, N>& rhs) = default;
        matrix& operator=(matrix<T, N>&& rhs) = default;
 
        const T& operator[](std::size_t idx) const;
        T& operator[](std::size_t idx);
 
        const T& operator()(std::size_t x, std::size_t y) const;
        T& operator()(std::size_t x, std::size_t y);

        matrix<T, N> inverse() const;
        matrix<T, N> transpose() const;
 
        // matrix-scalar
        matrix<T, N>& operator+=(T scalar);
        matrix<T, N> operator+(T scalar) const{auto cpy = *this; return cpy += scalar;}
        matrix<T, N>& operator-=(T scalar);
        matrix<T, N> operator-(T scalar) const{auto cpy = *this; return cpy -= scalar;}
        matrix<T, N>& operator*=(T scalar);
        matrix<T, N> operator*(T scalar) const{auto cpy = *this; return cpy *= scalar;}
        matrix<T, N>& operator/=(T scalar);
        matrix<T, N> operator/(T scalar) const{auto cpy = *this; return cpy /= scalar;}
 
        // matrix-matrix
        matrix<T, N>& operator*=(const matrix<T, N>& rhs);
        matrix<T, N> operator*(const matrix<T, N>& rhs) const{auto cpy = *this; return cpy *= rhs;}
 
        bool operator==(const matrix<T, N>& rhs) const = default;
 
        private:
        std::array<T, N*N> mat;
    };
 
    using m2i = matrix<int, 2>;
    using m3i = matrix<int, 3>;
    using m4i = matrix<int, 4>;
    using m2u = matrix<unsigned int, 2>;
    using m3u = matrix<unsigned int, 3>;
    using m4u = matrix<unsigned int, 4>;
    using m2f = matrix<float, 2>;
    using m3f = matrix<float, 3>;
    using m4f = matrix<float, 4>;
    using m2d = matrix<double, 2>;
    using m3d = matrix<double, 3>;
    using m4d = matrix<double, 4>;
}
 
#endif // TOPAZ_CORE_MATRIX_HPP