#include "./complex.h"

extern inline void bgc_fp32_complex_reset(BGC_FP32_Complex* complex);
extern inline void bgc_fp64_complex_reset(BGC_FP64_Complex* complex);

extern inline void bgc_fp32_complex_make(const float real, const float imaginary, BGC_FP32_Complex* complex);
extern inline void bgc_fp64_complex_make(const double real, const double imaginary, BGC_FP64_Complex* complex);

extern inline float bgc_fp32_complex_get_square_modulus(const BGC_FP32_Complex* number);
extern inline double bgc_fp64_complex_get_square_modulus(const BGC_FP64_Complex* number);

extern inline float bgc_fp32_complex_get_modulus(const BGC_FP32_Complex* number);
extern inline double bgc_fp64_complex_get_modulus(const BGC_FP64_Complex* number);

extern inline int bgc_fp32_complex_is_zero(const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_is_zero(const BGC_FP64_Complex* number);

extern inline int bgc_fp32_complex_is_unit(const BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_is_unit(const BGC_FP64_Complex* number);

extern inline void bgc_fp32_complex_copy(const BGC_FP32_Complex* source, BGC_FP32_Complex* destination);
extern inline void bgc_fp64_complex_copy(const BGC_FP64_Complex* source, BGC_FP64_Complex* destination);

extern inline void bgc_fp32_complex_swap(BGC_FP32_Complex* number1, BGC_FP32_Complex* number2);
extern inline void bgc_fp64_complex_swap(BGC_FP64_Complex* number1, BGC_FP64_Complex* number2);

extern inline void bgc_fp64_complex_convert_to_fp32(const BGC_FP64_Complex* source, BGC_FP32_Complex* destination);
extern inline void bgc_fp32_complex_convert_to_fp64(const BGC_FP32_Complex* source, BGC_FP64_Complex* destination);

extern inline void bgc_fp32_complex_revert(BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_revert(BGC_FP64_Complex* number);

extern inline void bgc_fp32_complex_get_reverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* opposite);
extern inline void bgc_fp64_complex_get_reverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* opposite);

extern inline int bgc_fp32_complex_normalize(BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_normalize(BGC_FP64_Complex* number);

extern inline int bgc_fp32_complex_get_normalized(const BGC_FP32_Complex* number, BGC_FP32_Complex* normalized);
extern inline int bgc_fp64_complex_get_normalized(const BGC_FP64_Complex* number, BGC_FP64_Complex* normalized);

extern inline void bgc_fp32_complex_conjugate(BGC_FP32_Complex* number);
extern inline void bgc_fp64_complex_conjugate(BGC_FP64_Complex* number);

extern inline void bgc_fp32_complex_get_conjugate(const BGC_FP32_Complex* number, BGC_FP32_Complex* conjugate);
extern inline void bgc_fp64_complex_get_conjugate(const BGC_FP64_Complex* number, BGC_FP64_Complex* conjugate);

extern inline int bgc_fp32_complex_invert(BGC_FP32_Complex* number);
extern inline int bgc_fp64_complex_invert(BGC_FP64_Complex* number);

extern inline int bgc_fp32_complex_get_inverse(const BGC_FP32_Complex* number, BGC_FP32_Complex* inverse);
extern inline int bgc_fp64_complex_get_inverse(const BGC_FP64_Complex* number, BGC_FP64_Complex* inverse);

extern inline void bgc_fp32_complex_get_product(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* product);
extern inline void bgc_fp64_complex_get_product(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* product);

extern inline int bgc_fp32_complex_get_ratio(const BGC_FP32_Complex* divident, const BGC_FP32_Complex* divisor, BGC_FP32_Complex* quotient);
extern inline int bgc_fp64_complex_get_ratio(const BGC_FP64_Complex* divident, const BGC_FP64_Complex* divisor, BGC_FP64_Complex* quotient);

extern inline void bgc_fp32_complex_add(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* sum);
extern inline void bgc_fp64_complex_add(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* sum);

extern inline void bgc_fp32_complex_add_scaled(const BGC_FP32_Complex* basic_number, const BGC_FP32_Complex* scalable_number, const float scale, BGC_FP32_Complex* sum);
extern inline void bgc_fp64_complex_add_scaled(const BGC_FP64_Complex* basic_number, const BGC_FP64_Complex* scalable_number, const double scale, BGC_FP64_Complex* sum);

extern inline void bgc_fp32_complex_subtract(const BGC_FP32_Complex* minuend, const BGC_FP32_Complex* subtrahend, BGC_FP32_Complex* difference);
extern inline void bgc_fp64_complex_subtract(const BGC_FP64_Complex* minuend, const BGC_FP64_Complex* subtrahend, BGC_FP64_Complex* difference);

extern inline void bgc_fp32_complex_multiply(const BGC_FP32_Complex* multiplicand, const float multiplier, BGC_FP32_Complex* product);
extern inline void bgc_fp64_complex_multiply(const BGC_FP64_Complex* multiplicand, const double multiplier, BGC_FP64_Complex* product);

extern inline void bgc_fp32_complex_divide(const BGC_FP32_Complex* dividend, const float divisor, BGC_FP32_Complex* quotient);
extern inline void bgc_fp64_complex_divide(const BGC_FP64_Complex* dividend, const double divisor, BGC_FP64_Complex* quotient);

extern inline void bgc_fp32_complex_get_mean2(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, BGC_FP32_Complex* mean);
extern inline void bgc_fp64_complex_get_mean2(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, BGC_FP64_Complex* mean);

extern inline void bgc_fp32_complex_get_mean3(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const BGC_FP32_Complex* number3, BGC_FP32_Complex* mean);
extern inline void bgc_fp64_complex_get_mean3(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const BGC_FP64_Complex* number3, BGC_FP64_Complex* mean);

extern inline void bgc_fp32_complex_interpolate(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2, const float phase, BGC_FP32_Complex* interpolation);
extern inline void bgc_fp64_complex_interpolate(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2, const double phase, BGC_FP64_Complex* interpolation);

extern inline int bgc_fp32_complex_are_close(const BGC_FP32_Complex* number1, const BGC_FP32_Complex* number2);
extern inline int bgc_fp64_complex_are_close(const BGC_FP64_Complex* number1, const BGC_FP64_Complex* number2);

// =============== Get Exponation =============== //

void bgc_fp32_complex_get_exponation(const BGC_FP32_Complex* base, const float real_exponent, const float imaginary_exponent, BGC_FP32_Complex* power)
{
    const float square_modulus = bgc_fp32_complex_get_square_modulus(base);

    if (square_modulus <= BGC_FP32_SQUARE_EPSYLON) {
        power->real = 0.0f;
        power->imaginary = 0.0f;
        return;
    }

    const float log_modulus = logf(square_modulus) * 0.5f;
    const float angle = atan2f(base->imaginary, base->real);

    const float power_modulus = expf(real_exponent * log_modulus - imaginary_exponent * angle);
    const float power_angle = real_exponent * angle + imaginary_exponent * log_modulus;

    power->real = power_modulus * cosf(power_angle);
    power->imaginary = power_modulus * sinf(power_angle);
}

void bgc_fp64_complex_get_exponation(const BGC_FP64_Complex* base, const double real_exponent, const double imaginary_exponent, BGC_FP64_Complex* power)
{
    const double square_modulus = bgc_fp64_complex_get_square_modulus(base);

    if (square_modulus <= BGC_FP64_SQUARE_EPSYLON) {
        power->real = 0.0;
        power->imaginary = 0.0;
        return;
    }

    const double log_modulus = log(square_modulus) * 0.5;
    const double angle = atan2(base->imaginary, base->real);

    const double power_modulus = exp(real_exponent * log_modulus - imaginary_exponent * angle);
    const double power_angle = real_exponent * angle + imaginary_exponent * log_modulus;

    power->real = power_modulus * cos(power_angle);
    power->imaginary = power_modulus * sin(power_angle);
}