#include "./dual-number.h"

extern inline void bgc_fp32_dual_number_reset(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_reset(BGC_FP64_DualNumber* number);

extern inline void bgc_fp32_dual_number_make(BGC_FP32_DualNumber* number, const float real_part, const float dual_part);
extern inline void bgc_fp64_dual_number_make(BGC_FP64_DualNumber* number, const double real_part, const double dual_part);

extern inline void bgc_fp32_dual_number_copy(BGC_FP32_DualNumber* destination, const BGC_FP32_DualNumber* source);
extern inline void bgc_fp64_dual_number_copy(BGC_FP64_DualNumber* destination, const BGC_FP64_DualNumber* source);

extern inline void bgc_fp32_dual_number_swap(BGC_FP32_DualNumber* first, BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_swap(BGC_FP64_DualNumber* first, BGC_FP64_DualNumber* second);

extern inline void bgc_fp64_dual_number_convert_to_fp32(BGC_FP32_DualNumber* first, BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_convert_to_fp64(BGC_FP64_DualNumber* first, BGC_FP32_DualNumber* second);

extern inline void bgc_fp32_dual_number_revert(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_revert(BGC_FP64_DualNumber* number);

extern inline void bgc_fp32_dual_number_get_reverse(BGC_FP32_DualNumber* reverse, const BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_get_reverse(BGC_FP64_DualNumber* reverse, const BGC_FP64_DualNumber* number);

extern inline int bgc_fp32_dual_number_invert(BGC_FP32_DualNumber* number);
extern inline int bgc_fp64_dual_number_invert(BGC_FP64_DualNumber* number);

extern inline int bgc_fp32_dual_number_get_inverse(BGC_FP32_DualNumber* inverse, const BGC_FP32_DualNumber* number);
extern inline int bgc_fp64_dual_number_get_inverse(BGC_FP64_DualNumber* inverse, const BGC_FP64_DualNumber* number);

extern inline void bgc_fp32_dual_number_conjugate(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_conjugate(BGC_FP64_DualNumber* number);

extern inline void bgc_fp32_dual_number_get_conjugate(BGC_FP32_DualNumber* conjugate, const BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_get_conjugate(BGC_FP64_DualNumber* conjugate, const BGC_FP64_DualNumber* number);

extern inline void bgc_fp32_dual_number_add(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_add(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);

extern inline void bgc_fp32_dual_number_add_scaled(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale);
extern inline void bgc_fp64_dual_number_add_scaled(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale);

extern inline void bgc_fp32_dual_number_subtract(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* minuend, const BGC_FP32_DualNumber* subtrahend);
extern inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* minuend, const BGC_FP64_DualNumber* subtrahend);

extern inline void bgc_fp32_dual_number_subtract_scaled(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale);
extern inline void bgc_fp64_dual_number_subtract_scaled(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale);

extern inline void bgc_fp32_dual_number_multiply_by_real(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier);
extern inline void bgc_fp64_dual_number_multiply_by_real(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier);

extern inline void bgc_fp32_dual_number_multiply_by_dual(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const BGC_FP32_DualNumber* multiplier);
extern inline void bgc_fp64_dual_number_multiply_by_dual(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const BGC_FP64_DualNumber* multiplier);

extern inline void bgc_fp32_dual_number_multiply_by_conjugate(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const BGC_FP32_DualNumber* multiplier_to_conjugate);
extern inline void bgc_fp64_dual_number_multiply_by_conjugate(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const BGC_FP64_DualNumber* multiplier_to_conjugate);

extern inline int bgc_fp32_dual_number_divide_by_real(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor);
extern inline int bgc_fp64_dual_number_divide_by_real(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor);

extern inline int bgc_fp32_dual_number_divide_by_dual(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor);
extern inline int bgc_fp64_dual_number_divide_by_dual(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor);

extern inline int bgc_fp32_dual_number_divide_by_conjugate(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const BGC_FP32_DualNumber* divisor_to_conjugate);
extern inline int bgc_fp64_dual_number_divide_by_conjugate(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const BGC_FP64_DualNumber* divisor_to_conjugate);

extern inline void bgc_fp32_dual_number_get_mean2(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_get_mean2(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);

extern inline void bgc_fp32_dual_number_get_mean3(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const BGC_FP32_DualNumber* third);
extern inline void bgc_fp64_dual_number_get_mean3(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const BGC_FP64_DualNumber* third);

extern inline void bgc_fp32_dual_number_interpolate(BGC_FP32_DualNumber* interpolation, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const float phase);
extern inline void bgc_fp64_dual_number_interpolate(BGC_FP64_DualNumber* interpolation, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const double phase);