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#include <math.h>
typedef float scalar;
typedef struct vector_t {
enum { RECT, SPH } type;
union {
struct {
scalar x, y, z;
} rect;
struct {
scalar r, elevation, azimuth;
} sph;
};
} vector;
scalar vect_abs(vector);
vector vect_mul(vector, scalar);
vector vect_add(vector, vector);
vector vect_sub(vector, vector);
vector vect_normalize(vector);
vector vect_negate(vector);
void vect_to_rect(vector*);
void vect_to_sph(vector*);
scalar vect_dot(vector v1, vector v2);
vector vect_cross(vector v1, vector v2);
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