vector3.h File Reference

three-dimensional vector More...

#include "a.h"
#include "math.h"

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Data Structures
struct	a_vector3
	instance structure for three-dimensional vector More...

Macros
#define	A_VECTOR3_C(x, y, z)
#define	a_vector3_c(x)
#define	a_vector3_(_, x)

Typedefs
typedef struct a_vector3	a_vector3
typedef struct a_vector3	a::vector3

Functions
a_real	a_vector3_set_dir (a_vector3 *ctx, a_real x, a_real y, a_real z)
	set the components of a 3D vector and normalize it in place.
void	a_vector3_val (a_vector3 const *ctx, a_real *x, a_real *y, a_real *z)
	get the cartesian coordinates of a 3D vector.
void	a_vector3_set_val (a_vector3 *ctx, a_real x, a_real y, a_real z)
	set the cartesian coordinates of a 3D vector.
void	a_vector3_cyl (a_vector3 const *ctx, a_real *rho, a_real *theta, a_real *z)
	get the cylindrical coordinates of a 3D vector.
void	a_vector3_set_cyl (a_vector3 *ctx, a_real rho, a_real theta, a_real z)
	set the cylindrical coordinates of a 3D vector.
void	a_vector3_sph (a_vector3 const *ctx, a_real *rho, a_real *theta, a_real *alpha)
	get the spherical coordinates of a 3D vector.
void	a_vector3_set_sph (a_vector3 *ctx, a_real rho, a_real theta, a_real alpha)
	set the spherical coordinates of a 3D vector.
void	a_vector3_add (a_vector3 const *lhs, a_vector3 const *rhs, a_vector3 *res)
	add a 3D vector to a 3D vector.
void	a_vector3_sub (a_vector3 const *lhs, a_vector3 const *rhs, a_vector3 *res)
	subtract a 3D vector from a 3D vector.
void	a_vector3_mul (a_vector3 const *lhs, a_real rhs, a_vector3 *res)
	multiplie a 3D vector by a scalar.
void	a_vector3_div (a_vector3 const *lhs, a_real rhs, a_vector3 *res)
	divide a 3D vector by a scalar.
void	a_vector3_neg (a_vector3 const *ctx, a_vector3 *res)
	negate a 3D vector.
a_real	a_vector3_unit (a_vector3 *ctx)
	normalize a 3D vector in-place to unit length.
a_real	a_vector3_norm (a_vector3 const *ctx)
	compute the magnitude of a 3D vector.
a_real	a_vector3_norm2 (a_vector3 const *ctx)
	compute the squared magnitude of a 3D vector.
a_real	a_vector3_dot (a_vector3 const *lhs, a_vector3 const *rhs)
	compute the dot product (scalar product) of two 3D vectors.
a_real	a_vector3_dist (a_vector3 const *lhs, a_vector3 const *rhs)
	compute the distance between two 3D vectors.
a_real	a_vector3_dist2 (a_vector3 const *lhs, a_vector3 const *rhs)
	compute the squared distance between two 3D vectors.
a_real	a_vector3_angle (a_vector3 const *lhs, a_vector3 const *rhs)
	compute the angle between two 3D vectors in radians.
a_bool	a_vector3_isver (a_vector3 const *lhs, a_vector3 const *rhs)
	check if two 3D vectors are orthogonal.
a_bool	a_vector3_ispar (a_vector3 const *lhs, a_vector3 const *rhs)
	check if two 3D vectors are parallel or anti-parallel.
void	a_vector3_cross (a_vector3 const *lhs, a_vector3 const *rhs, a_vector3 *res)
	compute the cross product (vector product) of two 3D vectors
void	a_vector3_outer (a_vector3 const *lhs, a_vector3 const *rhs, a_real res[9])
	compute the outer product (tensor product) of two 3D vectors.
int	a_vector3_ortho (a_vector3 const *ctx, a_vector3 *u, a_vector3 *v)
	construct an orthonormal basis from a given 3D direction vector.
int	a_vector3_proj (a_vector3 const *ctx, a_vector3 const *dir, a_vector3 *res)
	project vector onto the direction of vector.
int	a_vector3_perp (a_vector3 const *ctx, a_vector3 const *dir, a_vector3 *res)
	project vector onto the plane perpendicular to normal vector.
int	a_vector3_refl (a_vector3 const *ctx, a_vector3 const *dir, a_vector3 *res)
	reflect vector across the plane perpendicular to normal vector.
int	a_vector3_sym1 (a_vector3 const *ctx, a_vector3 const *dir, a_vector3 *res)
	reflect vector across the line with direction vector.
void	a_vector3_rot_ (a_vector3 const *ctx, a_vector3 const *dir, a_real sin, a_real cos, a_vector3 *res)
	rotate a 3D vector around an arbitrary unit axis using Rodrigues' rotation formula.
void	a_vector3_rot (a_vector3 const *ctx, a_vector3 const *dir, a_real angle, a_vector3 *res)
	rotate a 3D vector around an arbitrary unit axis using Rodrigues' rotation formula.
void	a_vector3_rot2d (a_vector3 const *iu, a_vector3 const *iv, a_real angle, a_vector3 *ou, a_vector3 *ov)
	rotate a 2D basis in the plane spanned by two orthogonal vectors.

Detailed Description

three-dimensional vector