#include "./matrix2x2.h"

extern inline void bgc_fp32_matrix2x2_reset(BGC_FP32_Matrix2x2* const matrix);
extern inline void bgc_fp64_matrix2x2_reset(BGC_FP64_Matrix2x2* const matrix);

extern inline void bgc_fp32_matrix2x2_make_identity(BGC_FP32_Matrix2x2* const matrix);
extern inline void bgc_fp64_matrix2x2_make_identity(BGC_FP64_Matrix2x2* const matrix);

extern inline void bgc_fp32_matrix2x2_make_diagonal(BGC_FP32_Matrix2x2* const matrix, const float d1, const float d2);
extern inline void bgc_fp64_matrix2x2_make_diagonal(BGC_FP64_Matrix2x2* const matrix, const double d1, const double d2);

extern inline void bgc_fp32_matrix2x2_set_turn(BGC_FP32_Matrix2x2* const matrix, const float angle, const int angle_unit);
extern inline void bgc_fp64_matrix2x2_set_turn(BGC_FP64_Matrix2x2* const matrix, const double angle, const int angle_unit);

extern inline float bgc_fp32_matrix2x2_get_determinant(const BGC_FP32_Matrix2x2* const matrix);
extern inline double bgc_fp64_matrix2x2_get_determinant(const BGC_FP64_Matrix2x2* const matrix);

extern inline int bgc_fp32_matrix2x2_is_identity(const BGC_FP32_Matrix2x2* const matrix);
extern inline int bgc_fp64_matrix2x2_is_identity(const BGC_FP64_Matrix2x2* const matrix);

extern inline int bgc_fp32_matrix2x2_is_singular(const BGC_FP32_Matrix2x2* const matrix);
extern inline int bgc_fp64_matrix2x2_is_singular(const BGC_FP64_Matrix2x2* const matrix);

extern inline int bgc_fp32_matrix2x2_is_rotation(const BGC_FP32_Matrix2x2* const matrix);
extern inline int bgc_fp64_matrix2x2_is_rotation(const BGC_FP64_Matrix2x2* const matrix);

extern inline void bgc_fp32_matrix2x2_copy(BGC_FP32_Matrix2x2* const destination, const BGC_FP32_Matrix2x2* const source);
extern inline void bgc_fp64_matrix2x2_copy(BGC_FP64_Matrix2x2* const destination, const BGC_FP64_Matrix2x2* const source);

extern inline void bgc_fp32_matrix2x2_swap(BGC_FP32_Matrix2x2* const matrix1, BGC_FP32_Matrix2x2* const matrix2);
extern inline void bgc_fp64_matrix2x2_swap(BGC_FP64_Matrix2x2* const matrix1, BGC_FP64_Matrix2x2* const matrix2);

extern inline void bgc_fp64_matrix2x2_convert_to_fp32(BGC_FP32_Matrix2x2* const destination, const BGC_FP64_Matrix2x2* const source);
extern inline void bgc_fp32_matrix2x2_convert_to_fp64(BGC_FP64_Matrix2x2* const destination, const BGC_FP32_Matrix2x2* const source);

extern inline int bgc_fp32_matrix2x2_get_inverse(BGC_FP32_Matrix2x2* const inverse, const BGC_FP32_Matrix2x2* const matrix);
extern inline int bgc_fp64_matrix2x2_get_inverse(BGC_FP64_Matrix2x2* const inverse, const BGC_FP64_Matrix2x2* const matrix);

extern inline int bgc_fp32_matrix2x2_invert(BGC_FP32_Matrix2x2* const matrix);
extern inline int bgc_fp64_matrix2x2_invert(BGC_FP64_Matrix2x2* const matrix);

extern inline void bgc_fp32_matrix2x2_transpose(BGC_FP32_Matrix2x2* const matrix);
extern inline void bgc_fp64_matrix2x2_transpose(BGC_FP64_Matrix2x2* const matrix);

extern inline void bgc_fp32_matrix2x2_get_transposed(BGC_FP32_Matrix2x2* const transposed, const BGC_FP32_Matrix2x2* const matrix);
extern inline void bgc_fp64_matrix2x2_get_transposed(BGC_FP64_Matrix2x2* const transposed, const BGC_FP64_Matrix2x2* const matrix);

extern inline void bgc_fp32_matrix2x2_get_row(BGC_FP32_Vector2* const row, const BGC_FP32_Matrix2x2* const matrix, const int row_number);
extern inline void bgc_fp64_matrix2x2_get_row(BGC_FP64_Vector2* const row, const BGC_FP64_Matrix2x2* const matrix, const int row_number);

extern inline void bgc_fp32_matrix2x2_set_row(BGC_FP32_Matrix2x2* const matrix, const int row_number, const BGC_FP32_Vector2* const row);
extern inline void bgc_fp64_matrix2x2_set_row(BGC_FP64_Matrix2x2* const matrix, const int row_number, const BGC_FP64_Vector2* const row);

extern inline void bgc_fp32_matrix2x2_get_column(BGC_FP32_Vector2* const column, const BGC_FP32_Matrix2x2* const matrix, const int column_number);
extern inline void bgc_fp64_matrix2x2_get_column(BGC_FP64_Vector2* const column, const BGC_FP64_Matrix2x2* const matrix, const int column_number);

extern inline void bgc_fp32_matrix2x2_set_column(BGC_FP32_Matrix2x2* const matrix, const int column_number, const BGC_FP32_Vector2* const column);
extern inline void bgc_fp64_matrix2x2_set_column(BGC_FP64_Matrix2x2* const matrix, const int column_number, const BGC_FP64_Vector2* const column);

extern inline void bgc_fp32_matrix2x2_add(BGC_FP32_Matrix2x2* const sum, const BGC_FP32_Matrix2x2* const matrix1, const BGC_FP32_Matrix2x2* const matrix2);
extern inline void bgc_fp64_matrix2x2_add(BGC_FP64_Matrix2x2* const sum, const BGC_FP64_Matrix2x2* const matrix1, const BGC_FP64_Matrix2x2* const matrix2);

extern inline void bgc_fp32_matrix2x2_add_scaled(BGC_FP32_Matrix2x2* const sum, const BGC_FP32_Matrix2x2* const basic_matrix, const BGC_FP32_Matrix2x2* const scalable_matrix, const float scale);
extern inline void bgc_fp64_matrix2x2_add_scaled(BGC_FP64_Matrix2x2* const sum, const BGC_FP64_Matrix2x2* const basic_matrix, const BGC_FP64_Matrix2x2* const scalable_matrix, const double scale);

extern inline void bgc_fp32_matrix2x2_subtract(BGC_FP32_Matrix2x2* const difference, const BGC_FP32_Matrix2x2* const minuend, const BGC_FP32_Matrix2x2* const subtrahend);
extern inline void bgc_fp64_matrix2x2_subtract(BGC_FP64_Matrix2x2* const difference, const BGC_FP64_Matrix2x2* const minuend, const BGC_FP64_Matrix2x2* const subtrahend);

extern inline void bgc_fp32_matrix2x2_subtract_scaled(BGC_FP32_Matrix2x2* const difference, const BGC_FP32_Matrix2x2* const basic_matrix, const BGC_FP32_Matrix2x2* const scalable_matrix, const float scale);
extern inline void bgc_fp64_matrix2x2_subtract_scaled(BGC_FP64_Matrix2x2* const difference, const BGC_FP64_Matrix2x2* const basic_matrix, const BGC_FP64_Matrix2x2* const scalable_matrix, const double scale);

extern inline void bgc_fp32_matrix2x2_multiply_by_real_number(BGC_FP32_Matrix2x2* const product, const BGC_FP32_Matrix2x2* const multiplicand, const float multiplier);
extern inline void bgc_fp64_matrix2x2_multiply_by_real_number(BGC_FP64_Matrix2x2* const product, const BGC_FP64_Matrix2x2* const multiplicand, const double multiplier);

extern inline void bgc_fp32_matrix2x2_multiply_by_vector2(BGC_FP32_Vector2* const product, const BGC_FP32_Matrix2x2* const matrix, const BGC_FP32_Vector2* const vector);
extern inline void bgc_fp64_matrix2x2_multiply_by_vector2(BGC_FP64_Vector2* const product, const BGC_FP64_Matrix2x2* const matrix, const BGC_FP64_Vector2* const vector);

extern inline void _bgc_fp32_restrict_matrix2x2_multiply_by_vector2(BGC_FP32_Vector2* restrict const product, const BGC_FP32_Matrix2x2* const matrix, const BGC_FP32_Vector2* const vector);
extern inline void _bgc_fp64_restrict_matrix2x2_multiply_by_vector2(BGC_FP64_Vector2* restrict const product, const BGC_FP64_Matrix2x2* const matrix, const BGC_FP64_Vector2* const vector);

extern inline void bgc_fp32_matrix2x2_multiply_by_matrix2x2(BGC_FP32_Matrix2x2* const product, const BGC_FP32_Matrix2x2* const matrix1, const BGC_FP32_Matrix2x2* const matrix2);
extern inline void bgc_fp64_matrix2x2_multiply_by_matrix2x2(BGC_FP64_Matrix2x2* const product, const BGC_FP64_Matrix2x2* const matrix1, const BGC_FP64_Matrix2x2* const matrix2);

extern inline void bgc_fp32_matrix2x2_multiply_by_matrix3x2(BGC_FP32_Matrix3x2* const product, const BGC_FP32_Matrix2x2* const matrix1, const BGC_FP32_Matrix3x2* const matrix2);
extern inline void bgc_fp64_matrix2x2_multiply_by_matrix3x2(BGC_FP64_Matrix3x2* const product, const BGC_FP64_Matrix2x2* const matrix1, const BGC_FP64_Matrix3x2* const matrix2);

extern inline int bgc_fp32_matrix2x2_divide_by_real_number(BGC_FP32_Matrix2x2* const quotient, const BGC_FP32_Matrix2x2* const dividend, const float divisor);
extern inline int bgc_fp64_matrix2x2_divide_by_real_number(BGC_FP64_Matrix2x2* const quotient, const BGC_FP64_Matrix2x2* const dividend, const double divisor);

extern inline void bgc_fp32_matrix2x2_get_mean2(BGC_FP32_Matrix2x2* const mean, const BGC_FP32_Matrix2x2* const term1, const BGC_FP32_Matrix2x2* const term2);
extern inline void bgc_fp64_matrix2x2_get_mean2(BGC_FP64_Matrix2x2* const mean, const BGC_FP64_Matrix2x2* const term1, const BGC_FP64_Matrix2x2* const term2);

extern inline void bgc_fp32_matrix2x2_get_mean3(BGC_FP32_Matrix2x2* const mean, const BGC_FP32_Matrix2x2* const term1, const BGC_FP32_Matrix2x2* const term2, const BGC_FP32_Matrix2x2* const term3);
extern inline void bgc_fp64_matrix2x2_get_mean3(BGC_FP64_Matrix2x2* const mean, const BGC_FP64_Matrix2x2* const term1, const BGC_FP64_Matrix2x2* const term2, const BGC_FP64_Matrix2x2* const term3);

extern inline void bgc_fp32_matrix2x2_interpolate(BGC_FP32_Matrix2x2* const interpolation, const BGC_FP32_Matrix2x2* const first, const BGC_FP32_Matrix2x2* const second, const float phase);
extern inline void bgc_fp64_matrix2x2_interpolate(BGC_FP64_Matrix2x2* const interpolation, const BGC_FP64_Matrix2x2* const first, const BGC_FP64_Matrix2x2* const second, const double phase);