#pragma once

/**
 * @file variation.hpp
 * @author Emily M. Boudreaux
 *
 * @brief File containing the structures for the variation of the compactification mapping.
 */

#include "mfem/linalg/vector.hpp"
#include "mfem/linalg/densemat.hpp"

namespace serif::mapping::compactification {
    /**
     * @struct ExteriorMapDirection
     *
     * @brief Structure representing the direction of the variation in the exterior domain mapping.
     * This includes the variation of the displaced position and the variation of the displacement Jacobian.
     */
    struct ExteriorMapDirection {
        const mfem::Vector &displaced_position_variation;           ///< Variation of the position in displaced space.
        const mfem::DenseMatrix &displacement_jacobian_variation;  ///< Variation of the Jacobian of the displacement mapping.
    };

    /**
     * @struct ExteriorMapVariation
     *
     * @brief Structure representing the variation of the exterior domain mapping.
     * This includes the variation of the physical position and the variation of the mapping Jacobian.
     */
    struct ExteriorMapVariation {
        mfem::Vector physical_position_variation;      ///< Variation of the position in physical space.
        mfem::DenseMatrix mapping_jacobian_variation;  ///< Variation of the Jacobian of the mapping.
    };
}