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#format cpp

typedef float vec_t;
typedef float vec2_t[2];
typedef vec_t vec3_t[3];
typedef vec_t matrix_t[16];	// 4*4 행렬

//	matrix prototypes
void	matrixIdentity (matrix_t p);
void	matrixMultiply (matrix_t a, matrix_t b, matrix_t c);
void	matrixRotateX (matrix_t p, vec_t angle);
void	matrixRotateY (matrix_t p, vec_t angle);
void	matrixRotateZ (matrix_t p, vec_t angle);
void	matrixRotate (matrix_t m, vec3_t r);
void	matrixMultiplyVector (matrix_t m, vec3_t v);
void	matrixMultiplyVector2 (matrix_t m, vec3_t v);
void	matrixMultiplyVector3 (matrix_t m, vec3_t v);
void	matrixTranslate (matrix_t m, vec3_t a);
void	matrixCopy(matrix_t a, matrix_t b);

void matrix33_inverse (mat33_t mr, mat33_t ma);
int matrix44_inverse (mat44_t mr, mat44_t ma);
int matrix44_inverse2 (mat44_t mr, mat44_t ma);

//	vector prototypes
void	vectorClear (vec3_t a);
void	vectorCopy (vec3_t a, vec3_t b);
void	vectorCrossProduct (vec3_t v1, vec3_t v2, vec3_t cross);
vec_t	vectorDot (vec3_t v1, vec3_t v2);
void	vectorSubtract (vec3_t va, vec3_t vb, vec3_t out);
void	vectorAdd (vec3_t va, vec3_t vb, vec3_t out);
vec_t	vectorNormalize (vec3_t in, vec3_t out);
void	vectorScaleV (vec3_t a, vec3_t s);
void	vectorScale (vec3_t v, vec_t scale);

void	NormalRet (vec3_t a, vec3_t b, vec3_t c, vec3_t &out); // 노멀 벡터 계산