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M_GEOMETRY(3)		     Library Functions Manual		   M_GEOMETRY(3)

NAME
     M_Geometry -- Agar-Math geometrical structures

SYNOPSIS
     #include <agar/core.h>
     #include <agar/gui.h>
     #include <agar/math/m.h>

DESCRIPTION
     The  Agar-Math  library implements a number of algorithms and operations on
     related to geometrical structures.  The following basic structures are  de-
     fined, 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 en-
     tity 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.

Agar 1.7			December 21, 2022		   M_GEOMETRY(3)

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