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

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

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

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

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(BGC_FP32_CotesNumber* reverse, const BGC_FP32_CotesNumber* number);
extern inline void bgc_fp64_cotes_number_get_reverse(BGC_FP64_CotesNumber* reverse, const BGC_FP64_CotesNumber* number);

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

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

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

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

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

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

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

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;
}