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#include "float.h"
#include "stdio.h"
#include "math.h"
#include "bool.h"
#include "xmath.h"
#ifndef objects_h
#define objects_h
/*----------------------------------------------------------------------*/
/* forward references */
/*----------------------------------------------------------------------*/
struct vector;
struct config;
struct point;
struct line;
struct plane;
/*----------------------------------------------------------------------*/
/* point (declarations) */
/*----------------------------------------------------------------------*/
struct point
{double x;
double y;
double z;
};
point new_point (double x, double y, double z);
void print (point p);
void scan (point &p);
point operator + (point p, point v);
point operator + (point p, vector v);
point operator - (point p, vector v);
point operator + (point p, point p1);
point operator - (point p, point p1);
point operator * (point p1, point p2);
point operator / (point p1, point p2);
point operator / (point p1, double d);
point rotate (point pivot, point p, double ax, double ay, double az);
point floor (point p);
double dist (point p1, point p2);
double qdist (point p1, point p2);
bool operator <= (point p1, point p2);
bool operator < (point p1, point p2);
bool operator << (point p1, point p2);
bool operator == (point p1, point p2);
bool operator != (point p1, point p2);
point p_min (point p1, point p2);
point p_max (point p1, point p2);
point p_bound (point p1, point p2, point p3);
point rotate (point p, line axis, double angle);
/*----------------------------------------------------------------------*/
/* vector (declarations) */
/*----------------------------------------------------------------------*/
struct vector
{double dx;
double dy;
double dz;
};
vector new_vector (line l);
vector new_vector (double dx, double dy, double dz);
vector new_vector (point p1, point p2);
void print (vector v);
vector operator + (vector v1, vector v2);
vector operator - (vector v1, vector v2);
vector operator * (vector v1, double s);
double operator * (vector v1, vector v2);
vector operator / (vector v1, double s);
vector operator - (vector v);
bool operator == (vector p1, vector p2);
bool operator != (vector p1, vector p2);
vector sign (vector p);
vector sign (vector p, int round_factor);
vector abs (vector p);
bool parallel (vector v1, vector v2);
bool parallel (vector v1, vector v2, double d);
vector cross (vector v1, vector v2);
point rotate (point pivot, point p, double ax, double ay, double az);
vector perp (vector v1, vector v2);
double length (vector v);
double angle (vector v1, vector v2);
double preangle (vector v1, vector v2);
vector set_length (vector v, double s);
point gen (point p0, vector v [3], vector a);
void get_gen (point p,
point p1,
point p2,
point p3,
double &a,
double &b);
/*----------------------------------------------------------------------*/
/* line (declarations) */
/*----------------------------------------------------------------------*/
struct line
{point p0;
point p1;
};
line new_line (point p0, point p1);
bool operator == (line l1, line l2);
void print (line l);
line expand (line l, double extent);
/*----------------------------------------------------------------------*/
/* triangle (declarations) */
/*----------------------------------------------------------------------*/
struct triangle
{point p0;
point p1;
point p2;
};
triangle new_triangle (point p0, point p1, point p2);
void hull (triangle t, point &pmin, point &pmax);
bool inside (triangle t, point p);
/*----------------------------------------------------------------------*/
/* rectangle (declarations) */
/*----------------------------------------------------------------------*/
struct rectangle
{point p0;
point p1;
point p2;
point p3;
};
rectangle new_rectangle (point p0, point p1, point p2, point p3);
rectangle new_rectangle (double p [12]);
/*----------------------------------------------------------------------*/
/* cube (declarations) */
/*----------------------------------------------------------------------*/
struct cube
{point p0;
point p1;
point p2;
point p3;
};
cube new_cube (point p0, point p1, point p2, point p3);
cube new_cube (point p, double dx, double dy, double dz);
cube new_cube (double p [12]);
bool operator == (cube a, cube b);
bool operator != (cube a, cube b);
cube operator + (cube a, vector v);
void print (cube c);
point corner (cube c, int corner_no);
point center (cube c);
cube rotate (cube c, point pivot, double ax, double ay, double az);
cube rotate (cube c, point p, vector axis, double angle);
cube rotate (cube c, line axis, double angle);
void edges (cube c, line edge_list [12]);
plane xplane (cube c, int side_no);
void xplane (cube c, int side_no,
point &p0, point &p1, point &p2, point &pl);
void xplane (cube c, int corner, int side_no,
point &p0, point &p1, point &p2, point &pl);
bool hulls_disjunct (cube c1, cube c2);
bool disjunct (cube c1, cube c2, bool with_trace = false);
cube normalize (cube c);
cube shift (cube c, vector d);
cube set_size (cube c, double sx, double sy, double sz);
cube cover (cube c, double d);
void hull (cube c, point &min, point &max);
bool inside (cube c, point p);
int parside (cube c, vector v);
vector sidevect (cube c, int s);
bool is_edge (cube c, vector v);
vector shortest_side (cube c);
vector longest_side (cube c);
plane bottom (cube c);
plane top (cube c);
void get_gen (point p, cube c, vector &v);
point gen (cube c, vector v);
bool intersect (cube c, line l, point &ip, point &ip1);
bool intersect (cube c, cube c1, point ip [32]);
void nearest_points (cube c1, cube c2, point &p1, point &p2);
point nearest_point (cube c1, point p);
double dist (cube c1, cube c2);
double dist (cube c, point p);
/*----------------------------------------------------------------------*/
/* config (declarations) */
/*----------------------------------------------------------------------*/
#define max_config_size 10
struct config
{double v [max_config_size];
};
config new_config (double v []);
config nil_config ();
void print (config c);
double dist (config c1, config c2);
double qdist (config c1, config c2);
config operator + (config c1, config c2);
config operator - (config c1, config c2);
bool is_nil (config c);
bool operator == (config c1, config c2);
bool operator != (config c1, config c2);
void check_compatibility (config c1, config c2, char operation []);
config sign (config c1);
/*----------------------------------------------------------------------*/
/* plane (declarations) */
/*----------------------------------------------------------------------*/
struct plane
{point p0;
point p1;
point p2;
};
plane new_plane (point p0, point p1, point p2);
plane new_plane (vector v0, vector v1);
void print (plane p);
bool operator == (plane a, plane b);
plane operator - (plane a);
bool operator != (plane a, plane b);
bool on (plane a, point p);
point center (plane p);
bool intersect (plane p, line l, point &ip);
point socket (plane p, point op);
double angle (plane p, vector v);
double angle (plane p1, plane p2);
/*----------------------------------------------------------------------*/
/* scene (declarations) */
/*----------------------------------------------------------------------*/
#define max_scene_elements 200
struct scene
{int num_elements;
char name [128];
cube cubes [max_scene_elements];
char names [max_scene_elements][128];
};
scene new_scene (char s_name []);
void add (scene &s, cube c, char c_name []);
cube xcube (scene s, char c_name []);
void print (scene s);
/*----------------------------------------------------------------------*/
/* NILS */
/*----------------------------------------------------------------------*/
#define NaN -(FLT_MAX-1)
#define nil_angle NaN
#define nil_point new_point (NaN, NaN, NaN)
#define nil_line new_line (nil_point, nil_point)
#define nil_vector new_vector (NaN, NaN, NaN)
#define nil_triangle new_triangle (nil_point,nil_point,nil_point)
#define nil_rectangle new_rectangle (nil_point,nil_point,nil_point, nil_point)
#define nil_cube new_cube (nil_point,nil_point,nil_point, nil_point)
#define nil_plane new_plane (nil_point,nil_point,nil_point)
#endif
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