#include "vector2.h" extern inline void bgc_vector2_reset_fp32(BgcVector2FP32* vector); extern inline void bgc_vector2_reset_fp64(BgcVector2FP64* vector); extern inline void bgc_vector2_set_values_fp32(const float x1, const float x2, BgcVector2FP32* to); extern inline void bgc_vector2_set_values_fp64(const double x1, const double x2, BgcVector2FP64* to); extern inline float bgc_vector2_get_square_modulus_fp32(const BgcVector2FP32* vector); extern inline double bgc_vector2_get_square_modulus_fp64(const BgcVector2FP64* vector); extern inline float bgc_vector2_get_modulus_fp32(const BgcVector2FP32* vector); extern inline double bgc_vector2_get_modulus_fp64(const BgcVector2FP64* vector); extern inline int bgc_vector2_is_zero_fp32(const BgcVector2FP32* vector); extern inline int bgc_vector2_is_zero_fp64(const BgcVector2FP64* vector); extern inline int bgc_vector2_is_unit_fp32(const BgcVector2FP32* vector); extern inline int bgc_vector2_is_unit_fp64(const BgcVector2FP64* vector); extern inline void bgc_vector2_copy_fp32(const BgcVector2FP32* from, BgcVector2FP32* to); extern inline void bgc_vector2_copy_fp64(const BgcVector2FP64* from, BgcVector2FP64* to); extern inline void bgc_vector2_swap_fp32(BgcVector2FP32* vector1, BgcVector2FP32* vector2); extern inline void bgc_vector2_swap_fp64(BgcVector2FP64* vector1, BgcVector2FP64* vector2); extern inline void bgc_vector2_convert_fp64_to_fp32(const BgcVector2FP64* from, BgcVector2FP32* to); extern inline void bgc_vector2_convert_fp32_to_fp64(const BgcVector2FP32* from, BgcVector2FP64* to); extern inline void bgc_vector2_reverse_fp32(BgcVector2FP32* vector); extern inline void bgc_vector2_reverse_fp64(BgcVector2FP64* vector); extern inline int bgc_vector2_normalize_fp32(BgcVector2FP32* vector); extern inline int bgc_vector2_normalize_fp64(BgcVector2FP64* vector); extern inline void bgc_vector2_get_reverse_fp32(const BgcVector2FP32* vector, BgcVector2FP32* reverse); extern inline void bgc_vector2_get_reverse_fp64(const BgcVector2FP64* vector, BgcVector2FP64* reverse); extern inline int bgc_vector2_get_normalized_fp32(const BgcVector2FP32* vector, BgcVector2FP32* result); extern inline int bgc_vector2_get_normalized_fp64(const BgcVector2FP64* vector, BgcVector2FP64* result); extern inline void bgc_vector2_get_complex_conjugate_fp32(const BgcVector2FP32* vector, BgcVector2FP32* conjugate); extern inline void bgc_vector2_get_complex_conjugate_fp64(const BgcVector2FP64* vector, BgcVector2FP64* conjugate); extern inline void bgc_vector2_add_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* sum); extern inline void bgc_vector2_add_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* sum); extern inline void bgc_vector2_add_scaled_fp32(const BgcVector2FP32* basic_vector, const BgcVector2FP32* scalable_vector, const float scale, BgcVector2FP32* sum); extern inline void bgc_vector2_add_scaled_fp64(const BgcVector2FP64* basic_vector, const BgcVector2FP64* scalable_vector, const double scale, BgcVector2FP64* sum); extern inline void bgc_vector2_subtract_fp32(const BgcVector2FP32* minuend, const BgcVector2FP32* subtrahend, BgcVector2FP32* difference); extern inline void bgc_vector2_subtract_fp64(const BgcVector2FP64* minuend, const BgcVector2FP64* subtrahend, BgcVector2FP64* difference); extern inline void bgc_vector2_subtract_scaled_fp32(const BgcVector2FP32* basic_vector, const BgcVector2FP32* scalable_vector, const float scale, BgcVector2FP32* difference); extern inline void bgc_vector2_subtract_scaled_fp64(const BgcVector2FP64* basic_vector, const BgcVector2FP64* scalable_vector, const double scale, BgcVector2FP64* difference); extern inline void bgc_vector2_multiply_fp32(const BgcVector2FP32* multiplicand, const float multiplier, BgcVector2FP32* product); extern inline void bgc_vector2_multiply_fp64(const BgcVector2FP64* multiplicand, const double multiplier, BgcVector2FP64* product); extern inline void bgc_vector2_divide_fp32(const BgcVector2FP32* dividend, const float divisor, BgcVector2FP32* quotient); extern inline void bgc_vector2_divide_fp64(const BgcVector2FP64* dividend, const double divisor, BgcVector2FP64* quotient); extern inline void bgc_vector2_get_mean_of_two_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* mean); extern inline void bgc_vector2_get_mean_of_two_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* mean); extern inline void bgc_vector2_get_mean_of_three_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcVector2FP32* vector3, BgcVector2FP32* mean); extern inline void bgc_vector2_get_mean_of_three_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const BgcVector2FP64* vector3, BgcVector2FP64* mean); extern inline void bgc_vector2_minimize_fp32(const BgcVector2FP32* vector, BgcVector2FP32* minimal); extern inline void bgc_vector2_minimize_fp64(const BgcVector2FP64* vector, BgcVector2FP64* minimal); extern inline void bgc_vector2_maximize_fp32(const BgcVector2FP32* vector, BgcVector2FP32* maximal); extern inline void bgc_vector2_maximize_fp64(const BgcVector2FP64* vector, BgcVector2FP64* maximal); extern inline float bgc_vector2_get_scalar_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2); extern inline double bgc_vector2_get_scalar_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2); extern inline float bgc_vector2_get_cross_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2); extern inline double bgc_vector2_get_cross_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2); extern inline void bgc_vector2_get_complex_product_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, BgcVector2FP32* product); extern inline void bgc_vector2_get_complex_product_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, BgcVector2FP64* product); extern inline float bgc_vector2_get_square_distance_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2); extern inline double bgc_vector2_get_square_distance_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2); extern inline float bgc_vector2_get_distance_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2); extern inline double bgc_vector2_get_distance_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2); extern inline int bgc_vector2_are_close_enough_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const float distance); extern inline int bgc_vector2_are_close_enough_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const double distance); extern inline int bgc_vector2_are_close_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2); extern inline int bgc_vector2_are_close_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2); // =================== Angle ==================== // float bgc_vector2_get_angle_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcAngleUnitEnum unit) { const float square_modulus1 = bgc_vector2_get_square_modulus_fp32(vector1); if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP32) { return 0.0f; } const float square_modulus2 = bgc_vector2_get_square_modulus_fp32(vector2); if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP32) { return 0.0f; } const float cosine = bgc_vector2_get_scalar_product_fp32(vector1, vector2) / sqrtf(square_modulus1 * square_modulus2); if (cosine >= 1.0f - BGC_EPSYLON_FP32) { return 0.0f; } if (cosine <= -1.0f + BGC_EPSYLON_FP32) { return bgc_angle_get_half_circle_fp32(unit); } return bgc_radians_to_units_fp32(acosf(cosine), unit); } double bgc_vector2_get_angle_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2, const BgcAngleUnitEnum unit) { const double square_modulus1 = bgc_vector2_get_square_modulus_fp64(vector1); if (square_modulus1 <= BGC_SQUARE_EPSYLON_FP64) { return 0.0; } const double square_modulus2 = bgc_vector2_get_square_modulus_fp64(vector2); if (square_modulus2 <= BGC_SQUARE_EPSYLON_FP64) { return 0.0; } const double cosine = bgc_vector2_get_scalar_product_fp64(vector1, vector2) / sqrt(square_modulus1 * square_modulus2); if (cosine >= 1.0 - BGC_EPSYLON_FP64) { return 0.0; } if (cosine <= -1.0 + BGC_EPSYLON_FP64) { return bgc_angle_get_half_circle_fp64(unit); } return bgc_radians_to_units_fp64(acos(cosine), unit); }