bgc-c/basic-geometry/vector2.c

143 lines
9 KiB
C

#include "vector2.h"
extern inline void bgc_fp32_vector2_reset(BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_vector2_reset(BGC_FP64_Vector2* vector);
extern inline void bgc_fp32_vector2_make(BGC_FP32_Vector2* destination, const float x1, const float x2);
extern inline void bgc_fp64_vector2_make(BGC_FP64_Vector2* destination, const double x1, const double x2);
extern inline float bgc_fp32_vector2_get_square_modulus(const BGC_FP32_Vector2* vector);
extern inline double bgc_fp64_vector2_get_square_modulus(const BGC_FP64_Vector2* vector);
extern inline float bgc_fp32_vector2_get_modulus(const BGC_FP32_Vector2* vector);
extern inline double bgc_fp64_vector2_get_modulus(const BGC_FP64_Vector2* vector);
extern inline int bgc_fp32_vector2_is_zero(const BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_is_zero(const BGC_FP64_Vector2* vector);
extern inline int bgc_fp32_vector2_is_unit(const BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_is_unit(const BGC_FP64_Vector2* vector);
extern inline void bgc_fp32_vector2_copy(BGC_FP32_Vector2* destination, const BGC_FP32_Vector2* source);
extern inline void bgc_fp64_vector2_copy(BGC_FP64_Vector2* destination, const BGC_FP64_Vector2* source);
extern inline void bgc_fp32_vector2_swap(BGC_FP32_Vector2* vector1, BGC_FP32_Vector2* vector2);
extern inline void bgc_fp64_vector2_swap(BGC_FP64_Vector2* vector1, BGC_FP64_Vector2* vector2);
extern inline void bgc_fp32_vector2_convert_to_fp64(BGC_FP64_Vector2* destination, const BGC_FP32_Vector2* source);
extern inline void bgc_fp64_vector2_convert_to_fp32(BGC_FP32_Vector2* destination, const BGC_FP64_Vector2* source);
extern inline void bgc_fp32_vector2_add(BGC_FP32_Vector2* sum, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline void bgc_fp64_vector2_add(BGC_FP64_Vector2* sum, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline void bgc_fp32_vector2_add_scaled(BGC_FP32_Vector2* sum, const BGC_FP32_Vector2* basic_vector, const BGC_FP32_Vector2* scalable_vector, const float scale);
extern inline void bgc_fp64_vector2_add_scaled(BGC_FP64_Vector2* sum, const BGC_FP64_Vector2* basic_vector, const BGC_FP64_Vector2* scalable_vector, const double scale);
extern inline void bgc_fp32_vector2_subtract(BGC_FP32_Vector2* difference, const BGC_FP32_Vector2* minuend, const BGC_FP32_Vector2* subtrahend);
extern inline void bgc_fp64_vector2_subtract(BGC_FP64_Vector2* difference, const BGC_FP64_Vector2* minuend, const BGC_FP64_Vector2* subtrahend);
extern inline void bgc_fp32_vector2_multiply(BGC_FP32_Vector2* product, const BGC_FP32_Vector2* multiplicand, const float multiplier);
extern inline void bgc_fp64_vector2_multiply(BGC_FP64_Vector2* product, const BGC_FP64_Vector2* multiplicand, const double multiplier);
extern inline void bgc_fp32_vector2_divide(BGC_FP32_Vector2* quotient, const BGC_FP32_Vector2* dividend, const float divisor);
extern inline void bgc_fp64_vector2_divide(BGC_FP64_Vector2* quotient, const BGC_FP64_Vector2* dividend, const double divisor);
extern inline void bgc_fp32_vector2_get_mean2(BGC_FP32_Vector2* mean, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline void bgc_fp64_vector2_get_mean2(BGC_FP64_Vector2* mean, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline void bgc_fp32_vector2_get_mean3(BGC_FP32_Vector2* mean, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const BGC_FP32_Vector2* vector3);
extern inline void bgc_fp64_vector2_get_mean3(BGC_FP64_Vector2* mean, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const BGC_FP64_Vector2* vector3);
extern inline void bgc_fp32_vector2_interpolate(BGC_FP32_Vector2* interpolation, const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float phase);
extern inline void bgc_fp64_vector2_interpolate(BGC_FP64_Vector2* interpolation, const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double phase);
extern inline void bgc_fp32_vector2_revert(BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_vector2_revert(BGC_FP64_Vector2* vector);
extern inline void bgc_fp32_vector2_get_reverse(BGC_FP32_Vector2* reverse, const BGC_FP32_Vector2* vector);
extern inline void bgc_fp64_vector2_get_reverse(BGC_FP64_Vector2* reverse, const BGC_FP64_Vector2* vector);
extern inline int bgc_fp32_vector2_normalize(BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_normalize(BGC_FP64_Vector2* vector);
extern inline int bgc_fp32_vector2_get_normalized(BGC_FP32_Vector2* normalized, const BGC_FP32_Vector2* vector);
extern inline int bgc_fp64_vector2_get_normalized(BGC_FP64_Vector2* normalized, const BGC_FP64_Vector2* vector);
extern inline float bgc_fp32_vector2_get_dot_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_dot_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline float bgc_fp32_vector2_get_cross_product(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_cross_product(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline float bgc_fp32_vector2_get_square_distance(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_square_distance(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline float bgc_fp32_vector2_get_distance(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline double bgc_fp64_vector2_get_distance(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_fp32_vector2_are_close_enough(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const float distance);
extern inline int bgc_fp64_vector2_are_close_enough(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const double distance);
extern inline int bgc_fp32_vector2_are_close(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_are_close(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_fp32_vector2_are_parallel(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_are_parallel(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_fp32_vector2_are_orthogonal(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_are_orthogonal(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
extern inline int bgc_fp32_vector2_get_attitude(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2);
extern inline int bgc_fp64_vector2_get_attitude(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2);
// =================== Angle ==================== //
float bgc_fp32_vector2_get_angle(const BGC_FP32_Vector2* vector1, const BGC_FP32_Vector2* vector2, const int angle_unit)
{
const float square_modulus1 = bgc_fp32_vector2_get_square_modulus(vector1);
// square_modulus1 != square_modulus1 is check for NaN value at square_modulus1
if (square_modulus1 <= BGC_FP32_SQUARE_EPSYLON || square_modulus1 != square_modulus1) {
return 0.0f;
}
const float square_modulus2 = bgc_fp32_vector2_get_square_modulus(vector2);
// square_modulus2 != square_modulus2 is check for NaN value at square_modulus2
if (square_modulus2 <= BGC_FP32_SQUARE_EPSYLON || square_modulus2 != square_modulus2) {
return 0.0f;
}
const float multiplier = sqrtf(1.0f / (square_modulus1 * square_modulus2));
const float x = bgc_fp32_vector2_get_dot_product(vector1, vector2);
const float y = fabsf(bgc_fp32_vector2_get_cross_product(vector1, vector2));
return bgc_fp32_radians_to_units(atan2f(y * multiplier, x * multiplier), angle_unit);
}
double bgc_fp64_vector2_get_angle(const BGC_FP64_Vector2* vector1, const BGC_FP64_Vector2* vector2, const int angle_unit)
{
const double square_modulus1 = bgc_fp64_vector2_get_square_modulus(vector1);
// square_modulus1 != square_modulus1 is check for NaN value at square_modulus1
if (square_modulus1 <= BGC_FP64_SQUARE_EPSYLON || square_modulus1 != square_modulus1) {
return 0.0;
}
const double square_modulus2 = bgc_fp64_vector2_get_square_modulus(vector2);
// square_modulus2 != square_modulus2 is check for NaN value at square_modulus2
if (square_modulus2 <= BGC_FP64_SQUARE_EPSYLON || square_modulus2 != square_modulus2) {
return 0.0;
}
const double multiplier = sqrt(1.0 / (square_modulus1 * square_modulus2));
const double x = bgc_fp64_vector2_get_dot_product(vector1, vector2);
const double y = bgc_fp64_vector2_get_cross_product(vector1, vector2);
return bgc_fp64_radians_to_units(atan2(y * multiplier, x * multiplier), angle_unit);
}