point3.h File Reference

three-dimensional point More...

#include "a.h"
#include "vector3.h"

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Data Structures
struct	a_point3
	instance structure for three-dimensional point More...

Macros
#define	A_POINT3_C(x, y, z)
#define	a_point3_c(x)
#define	a_point3_(_, x)

Typedefs
typedef struct a_point3	a_point3
typedef struct a_point3	a::point3

Functions
void	a_vector3_set (a_vector3 *ctx, a_point3 const *p, a_point3 const *q)
	set a 3D vector as the difference from point p to point q.
void	a_point3_val (a_point3 const *ctx, a_real *x, a_real *y, a_real *z)
	get the cartesian coordinates of a 3D point.
void	a_point3_set_val (a_point3 *ctx, a_real x, a_real y, a_real z)
	set the cartesian coordinates of a 3D point.
void	a_point3_cyl (a_point3 const *ctx, a_real *rho, a_real *theta, a_real *z)
	get the cylindrical coordinates of a 3D point.
void	a_point3_set_cyl (a_point3 *ctx, a_real rho, a_real theta, a_real z)
	set the cylindrical coordinates of a 3D point.
void	a_point3_sph (a_point3 const *ctx, a_real *rho, a_real *theta, a_real *alpha)
	get the spherical coordinates of a 3D point.
void	a_point3_set_sph (a_point3 *ctx, a_real rho, a_real theta, a_real alpha)
	set the spherical coordinates of a 3D point.
void	a_point3_add (a_point3 const *lhs, a_vector3 const *rhs, a_point3 *res)
	add a 3D vector to a 3D point.
void	a_point3_sub (a_point3 const *lhs, a_vector3 const *rhs, a_point3 *res)
	subtract a 3D vector from a 3D point.
void	a_point3_mul (a_point3 const *lhs, a_real rhs, a_point3 *res)
	multiplie a 3D point by a scalar.
void	a_point3_div (a_point3 const *lhs, a_real rhs, a_point3 *res)
	divide a 3D point by a scalar.
void	a_point3_pos (a_point3 const *ctx, a_vector3 *res)
	convert it into a vector from the origin to the point.
void	a_point3_neg (a_point3 const *ctx, a_vector3 *res)
	convert it into a vector from the point to the origin.
a_real	a_point3_dist (a_point3 const *lhs, a_point3 const *rhs)
	compute the distance between two 3D points.
a_real	a_point3_dist2 (a_point3 const *lhs, a_point3 const *rhs)
	compute the squared distance between two 3D points.
a_real	a_point3_mindist (a_point3 const *ctx, a_point3 const *i_p, a_size i_n, a_point3 *o_p, a_size *o_i)
	compute the minimum distance from a reference point to a point set.
a_real	a_point3_maxdist (a_point3 const *ctx, a_point3 const *i_p, a_size i_n, a_point3 *o_p, a_size *o_i)
	compute the maximum distance from a reference point to a point set.
int	a_point3_cmpxy (a_point3 const *lhs, a_point3 const *rhs)
	compare two 3D points primarily by X, then by Y, and finally by Z.
int	a_point3_cmpyx (a_point3 const *lhs, a_point3 const *rhs)
	compare two 3D points primarily by Y, then by X, and finally by Z.

Detailed Description

three-dimensional point