/// @file
/// @brief Task2: class definitions with member function declarations

#pragma once

#include <array> // std::array

namespace task2 {

using Vec2d = std::array<double, 2>;

/// @brief Axis-aligned bounding box
struct BBox {

  Vec2d min; ///< coord of bottom left corner
  Vec2d max; ///< coord of top right corner

  /// @brief Scales the bounding box (relative to a reference coordinate)
  /// @param org Reference coordinate
  /// @param s Scaling factor
  BBox scale(const Vec2d& org, double s) const;
  /// @brief Translates the line
  /// @param offset Translation vector
  BBox translate(const Vec2d& offset) const;
  /// @brief Checks if all invariants are fullfilled
  /// @return false if any invariant is violated, true otherwise
  /// Invariants:
  ///   - no coordinate is NAN
  ///   - the individual coordinates of 'min' are less or equal the respective coordinates in 'max'
  ///   - 'min' is not close to 'max' (use iue::num::isclose to check)
  bool check_invariants() const;
};

/// @brief Circle
struct Circle {

  Vec2d c;  ///< coordinate of the center of the circle
  double r; ///< radius of the circle

  /// @brief Generates the minimum axis-aligned bounding box containing this circle
  /// @return axis-aligned bounding box
  BBox bbox() const;
  /// @brief Scales the circle center (relative to a reference coordinate), and the radius with a scalar value
  /// @param org Reference coordinate
  /// @param s Scaling factor
  Circle scale(const Vec2d& org, double s) const;
  /// @brief Rotates the circle center (relative to a reference coordinate) counter clockwise
  /// @param org Reference coordinate
  /// @param angle Rotation angle (in radians)
  Circle rotate(const Vec2d& org, double angle) const;
  /// @brief Translates the circle center
  /// @param offset Translation vector
  Circle translate(const Vec2d& offset) const;
  /// @brief Checks if all invariants are fullfilled
  /// @return false if any invariant is violated, true otherwise
  /// @note Invariants: radius is non-negative and no coordinate is NAN
  bool check_invariants() const;
};

/// @brief Triangle
struct Triangle {

  std::array<Vec2d, 3> abc; ///< three corner points of the triangle

  /// @brief Generates the minimum axis-aligned bounding box containing this triangle
  /// @return axis-aligned bounding box
  BBox bbox() const;
  /// @brief Scales the triangle (relative to a reference coordinate)
  /// @param org Reference coordinate
  /// @param s Scaling factor
  Triangle scale(const Vec2d& org, double s) const;
  /// @brief Rotates the triangle (relative to a reference coordinate) counter clockwise
  /// @param org Reference coordinate
  /// @param angle Rotation angle (in radians)
  Triangle rotate(const Vec2d& org, double angle) const;
  /// @brief Translates the line
  /// @param offset Translation vector
  Triangle translate(const Vec2d& offset) const;
  /// @brief Checks if all invariants are fullfilled
  /// @return false if any invariant is violated, true otherwise
  /// Invariants:
  ///   - no coordinate is NAN
  ///   - none of the corner points are close to each other (use iue::num::isclose to check)
  bool check_invariants() const;
};

} // namespace task2