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M_GEOMETRY(3)		 BSD Library Functions Manual		 M_GEOMETRY(3)

NAME
     M_Geometry	-- Agar-Math geometrical structures

SYNOPSIS
     #include <agar/math.h>

DESCRIPTION
     The Agar-Math library implements a	number of algorithms and operations on
     related to	geometrical structures.	 The following basic structures	are
     defined, see their	respective manual pages	for more details:

     M_Line(3)	      Line segment or ray in R^2 (M_Line2) or R^3 (M_Line3).
     M_Circle(3)      Circle in	R^2 (M_Circle2)	or R^3 (M_Circle3).
     M_Sphere(3)      Sphere in	R^3.
     M_Plane(3)	      Plane in R^3 (M_Plane).
     M_Triangle(3)    Triangle in R^2 (M_Triangle2) or R^3 (M_Triangle3).
     M_Rectangle(3)   Rectangle	in R^2 (M_Rectangle2) or R^3 (M_Rectangle3).
     M_Polygon(3)     Polygon in R^2.
     M_Polyhedron(3)  Polyhedron in R^3.

GENERIC	GEOMETRIC ENTITIES
     A number of routines (e.g., computation of	intersections) return sets of
     zero or more geometrical structures of different types, depending on the

     The M_Geom2 structure defines a geometrical entity	in R^2:

     typedef struct m_geom2 {
	     M_GeomType	type;
	     union {
		     M_Vector2	  point;
		     M_Line2	  line;
		     M_Circle2	  circle;
		     M_Triangle2  triangle;
		     M_Rectangle2 rectangle;
		     M_Polygon	  polygon;
	     } g;
     } M_Geom2;

     Similarly,	M_Geom3	defines	an entity in R^3:

     typedef struct m_geom3 {
	     M_GeomType	type;
	     union {
		     M_Vector3	  point;
		     M_Line3	  line;
		     M_Circle3	  circle;
		     M_Triangle3  triangle;
		     M_Rectangle3 rectangle;
		     M_Polygon	  polygon;
		     M_Sphere	  sphere;
		     M_Plane	  plane;
		     M_Polyhedron polyhedron;
	     } g;
     } M_Geom3;

     The type field can	take on	the following values:

     M_NONE	   Undefined type
     M_POINT	   An M_Vector2(3) or M_Vector3(3).
     M_LINE	   An M_Line2(3) or M_Line3(3).
     M_CIRCLE	   An M_Circle2(3) or M_Circle3(3).
     M_POLYGON	   An M_Polygon(3).
     M_TRIANGLE	   An M_Triangle2(3) or	M_Triangle3(3).
     M_RECTANGLE   An M_Rectangle2(3) or M_Rectnagle3(3).
     M_SPHERE	   An M_Sphere(3).
     M_PLANE	   An M_Plane3(3).

GENERIC	GEOMETRIC ENTITIES: SETS
     Sets of generic geometric entities	in R^2 are described by	the structure:

     typedef struct m_geom_set2	{
	     M_Geom2 *g;
	     Uint n;
     } M_GeomSet2;
     Similarly for R^3:

     typedef struct m_geom_set3	{
	     M_Geom3 *g;
	     Uint n;
     } M_GeomSet3;

     The following routines allow the manipulation of these sets.

     M_GeomSet2	M_GEOM_SET_EMPTY(void)

     M_GeomSet3	M_GEOM_SET_EMPTY(void)

     void M_GeomSetAdd2(M_GeomSet2 *S, const M_Geom2 *g)

     void M_GeomSetAdd3(M_GeomSet3 *S, const M_Geom3 *g)

     void M_GeomSetFree2(M_GeomSet2 *S)

     void M_GeomSetFree3(M_GeomSet3 *S)

     The M_GEOM_SET_EMPTY() macro is provided as a static initializer for
     M_GeomSet2	and M_GeomSet3.

     The M_GeomSetAdd2() and M_GeomSetAdd3() functions insert a	copy of	the
     entity g into the geometric set S.

     M_GeomSetFree2() and M_GeomSetFree3() release the resources allocated by
     a geometric set.

SEE ALSO
     AG_Intro(3), M_Matrix(3), M_Real(3), M_Vector(3)

HISTORY
     The M_Geometry structure first appeared in	Agar 1.3.4.

BSD				 July 14, 2009				   BSD
NAME | SYNOPSIS | DESCRIPTION | GENERIC GEOMETRIC ENTITIES | GENERIC GEOMETRIC ENTITIES: SETS | SEE ALSO | HISTORY

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