#include "./cotes-number.h"

const BGC_FP32_CotesNumber BGC_FP32_IDLE_COTES_NUMBER = { 1.0f, 0.0f };

const BGC_FP64_CotesNumber BGC_FP64_IDLE_COTES_NUMBER = { 1.0, 0.0 };

extern inline void bgc_fp32_cotes_number_reset(BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_reset(BGC_FP64_CotesNumber* number);

extern inline void bgc_fp32_cotes_number_make(const float x1, const float x2, BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_make(const double x1, const double x2, BGC_FP64_CotesNumber* number);

extern inline void bgc_fp32_cotes_number_make_for_angle(const float angle, const int angle_unit, BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_make_for_angle(const double angle, const int angle_unit, BGC_FP64_CotesNumber* number);

extern inline int bgc_fp32_cotes_number_is_idle(const BGC_FP32_CotesNumber* number);
extern inline int bgc_fp64_cotes_number_is_idle(const BGC_FP64_CotesNumber* number);

extern inline float bgc_fp32_cotes_number_get_angle(const BGC_FP32_CotesNumber* number, const int angle_unit);
extern inline double bgc_fp64_cotes_number_get_angle(const BGC_FP64_CotesNumber* number, const int angle_unit);

extern inline void bgc_fp32_cotes_number_copy(const BGC_FP32_CotesNumber* source, BGC_FP32_CotesNumber* destination);
extern inline void bgc_fp64_cotes_number_copy(const BGC_FP64_CotesNumber* source, BGC_FP64_CotesNumber* destination);

extern inline void bgc_fp32_cotes_number_swap(BGC_FP32_CotesNumber* number1, BGC_FP32_CotesNumber* number2);
extern inline void bgc_fp64_cotes_number_swap(BGC_FP64_CotesNumber* number1, BGC_FP64_CotesNumber* number2);

extern inline void bgc_fp64_cotes_number_convert_to_fp32(const BGC_FP64_CotesNumber* source, BGC_FP32_CotesNumber* destination);
extern inline void bgc_fp32_cotes_number_convert_to_fp64(const BGC_FP32_CotesNumber* source, BGC_FP64_CotesNumber* destination);

extern inline void bgc_fp32_cotes_number_revert(BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_revert(BGC_FP64_CotesNumber* number);

extern inline void bgc_fp32_cotes_number_get_reverse(const BGC_FP32_CotesNumber* number, BGC_FP32_CotesNumber* inverse);
extern inline void bgc_fp64_cotes_number_get_inverse(const BGC_FP64_CotesNumber* number, BGC_FP64_CotesNumber* inverse);

extern inline void bgc_fp32_cotes_number_get_exponation(const BGC_FP32_CotesNumber* base, const float exponent, BGC_FP32_CotesNumber* power);
extern inline void bgc_fp64_cotes_number_get_exponation(const BGC_FP64_CotesNumber* base, const double exponent, BGC_FP64_CotesNumber* power);

extern inline void bgc_fp32_cotes_number_combine(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2, BGC_FP32_CotesNumber* result);
extern inline void bgc_fp64_cotes_number_combine(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2, BGC_FP64_CotesNumber* result);

extern inline void bgc_fp32_cotes_number_exclude(const BGC_FP32_CotesNumber* base, const BGC_FP32_CotesNumber* excludant, BGC_FP32_CotesNumber* difference);
extern inline void bgc_fp64_cotes_number_exclude(const BGC_FP64_CotesNumber* base, const BGC_FP64_CotesNumber* excludant, BGC_FP64_CotesNumber* difference);

extern inline void bgc_fp32_cotes_number_get_rotation_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_cotes_number_get_rotation_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);

extern inline void bgc_fp32_cotes_number_get_reverse_matrix(const BGC_FP32_CotesNumber* number, BGC_FP32_Matrix2x2* matrix);
extern inline void bgc_fp64_cotes_number_get_reverse_matrix(const BGC_FP64_CotesNumber* number, BGC_FP64_Matrix2x2* matrix);

extern inline void bgc_fp32_cotes_number_turn_vector(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result);
extern inline void bgc_fp64_cotes_number_turn_vector(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);

extern inline void bgc_fp32_cotes_number_turn_vector_back(const BGC_FP32_CotesNumber* number, const BGC_FP32_Vector2* vector, BGC_FP32_Vector2* result);
extern inline void bgc_fp64_cotes_number_turn_vector_back(const BGC_FP64_CotesNumber* number, const BGC_FP64_Vector2* vector, BGC_FP64_Vector2* result);

extern inline int bgc_fp32_cotes_number_are_close(const BGC_FP32_CotesNumber* number1, const BGC_FP32_CotesNumber* number2);
extern inline int bgc_fp64_cotes_number_are_close(const BGC_FP64_CotesNumber* number1, const BGC_FP64_CotesNumber* number2);

void _bgc_fp32_cotes_number_normalize(BGC_FP32_CotesNumber* number)
{
    const float square_modulus = number->_cos * number->_cos + number->_sin * number->_sin;

    if (square_modulus <= BGC_FP32_SQUARE_EPSYLON || isnan(square_modulus)) {
        number->_cos = 1.0f;
        number->_sin = 0.0f;
        return;
    }

    const float multiplier = sqrtf(1.0f / square_modulus);

    number->_cos *= multiplier;
    number->_sin *= multiplier;
}

void _bgc_fp64_cotes_number_normalize(BGC_FP64_CotesNumber* number)
{
    const double square_modulus = number->_cos * number->_cos + number->_sin * number->_sin;

    if (square_modulus <= BGC_FP64_SQUARE_EPSYLON || isnan(square_modulus)) {
        number->_cos = 1.0;
        number->_sin = 0.0;
        return;
    }

    const double multiplier = sqrt(1.0 / square_modulus);

    number->_cos *= multiplier;
    number->_sin *= multiplier;
}