#ifndef _BGC_POSITION2_H_INCLUDED_
#define _BGC_POSITION2_H_INCLUDED_

#include "vector2.h"
#include "affine2.h"
#include "cotes-number.h"

// ==================== Types ==================== //

typedef struct {
    BgcCotesNumberFP32 turn;
    BgcVector2FP32 shift;
} BgcPosition2FP32;

typedef struct {
    BgcCotesNumberFP64 turn;
    BgcVector2FP64 shift;
} BgcPosition2FP64;

// ==================== Reset ==================== //

inline void bgc_position2_reset_fp32(BgcPosition2FP32 * position)
{
    bgc_cotes_number_reset_fp32(&position->turn);
    bgc_vector2_reset_fp32(&position->shift);
}

inline void bgc_position2_reset_fp64(BgcPosition2FP64 * position)
{
    bgc_cotes_number_reset_fp64(&position->turn);
    bgc_vector2_reset_fp64(&position->shift);
}

// ==================== Make ===================== //

inline void bgc_position2_make_fp32(const BgcCotesNumberFP32 * turn, const BgcVector2FP32 * shift, BgcPosition2FP32 * position)
{
    bgc_cotes_number_copy_fp32(turn, &position->turn);
    bgc_vector2_copy_fp32(shift, &position->shift);
}

inline void bgc_position2_make_fp64(const BgcCotesNumberFP64 * turn, const BgcVector2FP64 * shift, BgcPosition2FP64 * position)
{
    bgc_cotes_number_copy_fp64(turn, &position->turn);
    bgc_vector2_copy_fp64(shift, &position->shift);
}


// ==================== Copy ===================== //

inline void bgc_position2_copy_fp32(const BgcPosition2FP32 * source, BgcPosition2FP32 * destination)
{
    bgc_cotes_number_copy_fp32(&source->turn, &destination->turn);
    bgc_vector2_copy_fp32(&source->shift, &destination->shift);
}

inline void bgc_position2_copy_fp64(const BgcPosition2FP64 * source, BgcPosition2FP64 * destination)
{
    bgc_cotes_number_copy_fp64(&source->turn, &destination->turn);
    bgc_vector2_copy_fp64(&source->shift, &destination->shift);
}

// =================== Convert =================== //

inline void bgc_position2_convert_fp64_to_fp32(const BgcPosition2FP64 * source, BgcPosition2FP32 * destination)
{
    bgc_cotes_number_convert_fp64_to_fp32(&source->turn, &destination->turn);
    bgc_vector2_convert_fp64_to_fp32(&source->shift, &destination->shift);
}

inline void bgc_position2_convert_fp32_to_fp64(const BgcPosition2FP32 * source, BgcPosition2FP64 * destination)
{
    bgc_cotes_number_convert_fp32_to_fp64(&source->turn, &destination->turn);
    bgc_vector2_convert_fp32_to_fp64(&source->shift, &destination->shift);
}

// =================== Invert ==================== //

inline void bgc_position2_invert_fp32(BgcPosition2FP32 * position)
{
    bgc_cotes_number_turn_vector_back_fp32(&position->turn, &position->shift, &position->shift);
    bgc_cotes_number_invert_fp32(&position->turn);
    bgc_vector2_make_opposite_fp32(&position->shift);
}

inline void bgc_position2_invert_fp64(BgcPosition2FP64 * position)
{
    bgc_cotes_number_turn_vector_back_fp64(&position->turn, &position->shift, &position->shift);
    bgc_cotes_number_invert_fp64(&position->turn);
    bgc_vector2_make_opposite_fp64(&position->shift);
}

// ================= Get Inverse ================= //

inline void bgc_position2_get_inverse_fp32(const BgcPosition2FP32 * position, BgcPosition2FP32 * inverted)
{
    bgc_cotes_number_turn_vector_back_fp32(&position->turn, &position->shift, &inverted->shift);
    bgc_cotes_number_get_inverse_fp32(&position->turn, &inverted->turn);
    bgc_vector2_make_opposite_fp32(&inverted->shift);
}

inline void bgc_position2_get_inverse_fp64(const BgcPosition2FP64 * position, BgcPosition2FP64 * inverted)
{
    bgc_cotes_number_turn_vector_back_fp64(&position->turn, &position->shift, &inverted->shift);
    bgc_cotes_number_get_inverse_fp64(&position->turn, &inverted->turn);
    bgc_vector2_make_opposite_fp64(&inverted->shift);
}

// =================== Combine =================== //

inline void bgc_position2_combine_fp32(const BgcPosition2FP32 * first, const BgcPosition2FP32 * second, BgcPosition2FP32 * combination)
{
    BgcVector2FP32 relative_shift;
    bgc_cotes_number_turn_vector_fp32(&second->turn, &first->shift, &relative_shift);
    bgc_cotes_number_combine_fp32(&first->turn, &second->turn, &combination->turn);
    bgc_vector2_add_fp32(&relative_shift, &second->shift, &combination->shift);
}

inline void bgc_position2_combine_fp64(const BgcPosition2FP64 * first, const BgcPosition2FP64 * second, BgcPosition2FP64 * combination)
{
    BgcVector2FP64 relative_shift;
    bgc_cotes_number_turn_vector_fp64(&second->turn, &first->shift, &relative_shift);
    bgc_cotes_number_combine_fp64(&first->turn, &second->turn, &combination->turn);
    bgc_vector2_add_fp64(&relative_shift, &second->shift, &combination->shift);
}

// =================== Exclude =================== //

inline void bgc_position2_exclude_fp32(const BgcPosition2FP32 * base, const BgcPosition2FP32 * excludand, BgcPosition2FP32 * difference)
{
    BgcVector2FP32 relative_shift;
    bgc_vector2_subtract_fp32(&base->shift, &excludand->shift, &relative_shift);
    bgc_cotes_number_turn_vector_back_fp32(&excludand->turn, &relative_shift, &difference->shift);
    bgc_cotes_number_exclude_fp32(&base->turn, &excludand->turn, &difference->turn);
}

inline void bgc_position2_exclude_fp64(const BgcPosition2FP64 * base, const BgcPosition2FP64 * excludand, BgcPosition2FP64 * difference)
{
    BgcVector2FP64 relative_shift;
    bgc_vector2_subtract_fp64(&base->shift, &excludand->shift, &relative_shift);
    bgc_cotes_number_turn_vector_back_fp64(&excludand->turn, &relative_shift, &difference->shift);
    bgc_cotes_number_exclude_fp64(&base->turn, &excludand->turn, &difference->turn);
}

// ============= Get Outward Affine ============== //

inline void bgc_position2_get_outward_affine_fp32(const BgcPosition2FP32 * position, BgcAffine2FP32 * outward_affine_map)
{
    bgc_cotes_number_get_rotation_matrix_fp32(&position->turn, &outward_affine_map->distortion);
    bgc_vector2_copy_fp32(&position->shift, &outward_affine_map->shift);
}

inline void bgc_position2_get_outward_affine_fp64(const BgcPosition2FP64 * position, BgcAffine2FP64 * outward_affine_map)
{
    bgc_cotes_number_get_rotation_matrix_fp64(&position->turn, &outward_affine_map->distortion);
    bgc_vector2_copy_fp64(&position->shift, &outward_affine_map->shift);
}

// ============== Get Inward Affine ============== //

inline void bgc_position2_get_inward_affine_fp32(const BgcPosition2FP32 * position, BgcAffine2FP32 * inward_affine_map)
{
    bgc_cotes_number_get_reverse_matrix_fp32(&position->turn, &inward_affine_map->distortion);
    bgc_matrix2x2_get_right_product_fp32(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
    bgc_vector2_make_opposite_fp32(&inward_affine_map->shift);
}

inline void bgc_position2_get_inward_affine_fp64(const BgcPosition2FP64 * position, BgcAffine2FP64 * inward_affine_map)
{
    bgc_cotes_number_get_reverse_matrix_fp64(&position->turn, &inward_affine_map->distortion);
    bgc_matrix2x2_get_right_product_fp64(&inward_affine_map->distortion, &position->shift, &inward_affine_map->shift);
    bgc_vector2_make_opposite_fp64(&inward_affine_map->shift);
}

// ========== Transform Point Outwards =========== //

inline void bgc_position2_transform_point_outwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * inner_point, BgcVector2FP32 * outer_point)
{
    BgcVector2FP32 turned_point;
    bgc_cotes_number_turn_vector_fp32(&position->turn, inner_point, &turned_point);
    bgc_vector2_add_fp32(&position->shift, &turned_point, outer_point);
}

inline void bgc_position2_transform_point_outwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * inner_point, BgcVector2FP64 * outer_point)
{
    BgcVector2FP64 turned_point;
    bgc_cotes_number_turn_vector_fp64(&position->turn, inner_point, &turned_point);
    bgc_vector2_add_fp64(&position->shift, &turned_point, outer_point);
}

// =========== Transform Point Inwards =========== //

inline void bgc_position2_transform_point_inwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * outer_point, BgcVector2FP32 * inner_point)
{
    BgcVector2FP32 relative_point;
    bgc_vector2_subtract_fp32(outer_point, &position->shift, &relative_point);
    bgc_cotes_number_turn_vector_back_fp32(&position->turn, &relative_point, inner_point);

}

inline void bgc_position2_transform_point_inwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * outer_point, BgcVector2FP64 * inner_point)
{
    BgcVector2FP64 relative_point;
    bgc_vector2_subtract_fp64(outer_point, &position->shift, &relative_point);
    bgc_cotes_number_turn_vector_back_fp64(&position->turn, &relative_point, inner_point);

}

// ========== Transform Vector Outwards ========== //

inline void bgc_position2_transform_vector_outwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * inner_vector, BgcVector2FP32 * outer_vector)
{
    bgc_cotes_number_turn_vector_fp32(&position->turn, inner_vector, outer_vector);
}

inline void bgc_position2_transform_vector_outwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * inner_vector, BgcVector2FP64 * outer_vector)
{
    bgc_cotes_number_turn_vector_fp64(&position->turn, inner_vector, outer_vector);
}

// ========== Transform Vector Inwards =========== //

inline void bgc_position2_transform_vector_inwards_fp32(const BgcPosition2FP32 * position, const BgcVector2FP32 * outer_vector, BgcVector2FP32 * inner_vector)
{
    bgc_cotes_number_turn_vector_back_fp32(&position->turn, outer_vector, inner_vector);
}

inline void bgc_position2_transform_vector_inwards_fp64(const BgcPosition2FP64 * position, const BgcVector2FP64 * outer_vector, BgcVector2FP64 * inner_vector)
{
    bgc_cotes_number_turn_vector_back_fp64(&position->turn, outer_vector, inner_vector);
}

#endif