matrix.hpp

#ifndef LIBSBX_MATH_MATRIX_HPP_
#define LIBSBX_MATH_MATRIX_HPP_
 
#include <array>
 
#include <libsbx/math/concepts.hpp>
#include <libsbx/math/vector.hpp>
 
namespace sbx::math {
 
template<std::size_t Columns, std::size_t Rows, scalar Type>
requires (Columns > 1u && Rows > 1u)
class basic_matrix {
 
public:
 
  enum class direction : std::uint8_t {
    column = 0u,
    row = 1u
  }; // enum class direction
 
  inline static constexpr auto columns = Columns;
  inline static constexpr auto rows = Rows;
 
  using value_type = Type;
  using reference = value_type&;
  using const_reference = const value_type&;
  using size_type = std::size_t;
  using column_type = basic_vector<Rows, Type>;
 
  template<scalar Other = value_type>
  constexpr basic_matrix(Other value = Other{0}) noexcept;
 
  template<scalar Other = value_type>
  constexpr basic_matrix(const basic_matrix<Columns, Rows, Other>& other) noexcept;
 
  constexpr basic_matrix(const basic_matrix& other) noexcept = default;
 
  constexpr basic_matrix(basic_matrix&& other) noexcept = default;
 
  auto operator=(const basic_matrix& other) noexcept -> basic_matrix& = default;
 
  auto operator=(basic_matrix&& other) noexcept -> basic_matrix& = default;
 
  [[nodiscard]] constexpr auto operator[](size_type index) noexcept -> column_type&;
 
  [[nodiscard]] constexpr auto operator[](size_type index) const noexcept -> const column_type&;
 
  template<scalar Other>
  constexpr auto operator+=(const basic_matrix<Columns, Rows, Other>& other) noexcept -> basic_matrix&;
 
  template<scalar Other>
  constexpr auto operator-=(const basic_matrix<Columns, Rows, Other>& other) noexcept -> basic_matrix&;
 
  template<scalar Other>
  constexpr auto operator*=(Other scalar) noexcept -> basic_matrix&;
 
  template<scalar Other>
  constexpr auto operator/=(Other scalar) noexcept -> basic_matrix&;
 
  constexpr auto row(const size_type row) const noexcept -> basic_vector<Columns, value_type>;
 
protected:
 
  template<scalar Other>
  using column_type_for = basic_vector<Rows, Other>;
 
  template<typename... Args>
  constexpr basic_matrix(Args&&... args) noexcept;
 
  constexpr static auto identity() noexcept -> basic_matrix;
 
private:
 
  std::array<column_type, Columns> _columns;
 
}; // class basic_matrix
 
template<std::size_t Columns, std::size_t Rows, scalar Lhs, scalar Rhs>
[[nodiscard]] constexpr auto operator==(const basic_matrix<Columns, Rows, Lhs>& lhs, const basic_matrix<Columns, Rows, Rhs>& rhs) noexcept -> bool;
 
template<std::size_t Columns, std::size_t Rows, scalar Lhs, scalar Rhs>
[[nodiscard]] constexpr auto operator+(basic_matrix<Columns, Rows, Lhs> lhs, const basic_matrix<Columns, Rows, Rhs>& rhs) noexcept -> basic_matrix<Columns, Rows, Lhs>;
 
template<std::size_t Columns, std::size_t Rows, scalar Lhs, scalar Rhs>
[[nodiscard]] constexpr auto operator-(basic_matrix<Columns, Rows, Lhs> lhs, const basic_matrix<Columns, Rows, Rhs>& rhs) noexcept -> basic_matrix<Columns, Rows, Lhs>;
 
template<std::size_t Columns, std::size_t Rows, scalar Lhs, scalar Rhs>
[[nodiscard]] constexpr auto operator*(basic_matrix<Columns, Rows, Lhs> lhs, Rhs rhs) noexcept -> basic_matrix<Columns, Rows, Lhs>;
 
template<std::size_t Columns, std::size_t Rows, scalar Lhs, scalar Rhs>
[[nodiscard]] constexpr auto operator*(Lhs lhs, basic_matrix<Columns, Rows, Rhs> rhs) noexcept -> basic_matrix<Columns, Rows, Rhs>;
 
template<typename Matrix>
[[nodiscard]] constexpr auto from_array(std::span<typename Matrix::value_type, Matrix::columns * Matrix::rows> array) -> Matrix;
 
} // namespace sbx::math
 
#include <libsbx/math/matrix.ipp>
 
#endif // LIBSBX_MATH_MATRIX_HPP_